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- Mon May 13 17:02:24 2019
- Mon May 13 17:02:24 2019
- Mon May 13 17:02:24 2019 Msieve v. 1.53 (SVN 988M)
- Mon May 13 17:02:24 2019 random seeds: 99829e2e 3aecf573
- Mon May 13 17:02:24 2019 factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
- Mon May 13 17:02:24 2019 searching for 15-digit factors
- Mon May 13 17:02:25 2019 commencing number field sieve (212-digit input)
- Mon May 13 17:02:25 2019 R0: -348449144561426154917576131781987977226227
- Mon May 13 17:02:25 2019 R1: 14766705728856080112111339729366024192
- Mon May 13 17:02:25 2019 A0: -64
- Mon May 13 17:02:25 2019 A1: 192
- Mon May 13 17:02:25 2019 A2: 96
- Mon May 13 17:02:25 2019 A3: -288
- Mon May 13 17:02:25 2019 A4: -144
- Mon May 13 17:02:25 2019 A5: 54
- Mon May 13 17:02:25 2019 A6: 27
- Mon May 13 17:02:25 2019 skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
- Mon May 13 17:02:25 2019
- Mon May 13 17:02:25 2019 commencing relation filtering
- Mon May 13 17:02:25 2019 setting target matrix density to 130.0
- Mon May 13 17:02:25 2019 estimated available RAM is 32768.0 MB
- Mon May 13 17:02:25 2019 commencing duplicate removal, pass 1
- Mon May 13 17:10:26 2019 error -1 reading relation 81325500
- [5746 more error lines]
- Mon May 13 17:22:23 2019 error -1 reading relation 199944366
- Mon May 13 17:22:27 2019 skipped 135 relations with b > 2^32
- Mon May 13 17:22:27 2019 skipped 5041 relations with composite factors
- Mon May 13 17:22:27 2019 found 8822390 hash collisions in 200714492 relations
- Mon May 13 17:22:33 2019 added 2437924 free relations
- Mon May 13 17:22:33 2019 commencing duplicate removal, pass 2
- Mon May 13 17:23:19 2019 found 0 duplicates and 203152416 unique relations
- Mon May 13 17:23:19 2019 memory use: 522.4 MB
- Mon May 13 17:23:19 2019 reading ideals above 133890048
- Mon May 13 17:23:19 2019 commencing singleton removal, initial pass
- Mon May 13 17:38:03 2019 memory use: 5512.0 MB
- Mon May 13 17:38:04 2019 reading all ideals from disk
- Mon May 13 17:38:06 2019 memory use: 3824.0 MB
- Mon May 13 17:38:13 2019 commencing in-memory singleton removal
- Mon May 13 17:38:20 2019 begin with 203152416 relations and 163851534 unique ideals
- Mon May 13 17:39:40 2019 reduce to 139298250 relations and 94049100 ideals in 13 passes
- Mon May 13 17:39:40 2019 max relations containing the same ideal: 42
- Mon May 13 17:39:51 2019 reading ideals above 720000
- Mon May 13 17:39:51 2019 commencing singleton removal, initial pass
- Mon May 13 17:53:27 2019 memory use: 3012.0 MB
- Mon May 13 17:53:27 2019 reading all ideals from disk
- Mon May 13 17:53:31 2019 memory use: 5520.3 MB
- Mon May 13 17:53:42 2019 keeping 108503273 ideals with weight <= 200, target excess is 718338
- Mon May 13 17:53:55 2019 commencing in-memory singleton removal
- Mon May 13 17:54:04 2019 begin with 139298250 relations and 108503273 unique ideals
- Mon May 13 17:54:34 2019 reduce to 139298246 relations and 108503269 ideals in 3 passes
- Mon May 13 17:54:34 2019 max relations containing the same ideal: 200
- Mon May 13 17:55:24 2019 removing 10293130 relations and 8293130 ideals in 2000000 cliques
- Mon May 13 17:55:28 2019 commencing in-memory singleton removal
- Mon May 13 17:55:36 2019 begin with 129005116 relations and 108503269 unique ideals
- Mon May 13 17:56:59 2019 reduce to 128457834 relations and 99652951 ideals in 9 passes
- Mon May 13 17:56:59 2019 max relations containing the same ideal: 196
- Mon May 13 17:57:46 2019 removing 7829896 relations and 5829896 ideals in 2000000 cliques
- Mon May 13 17:57:48 2019 commencing in-memory singleton removal
- Mon May 13 17:57:56 2019 begin with 120627938 relations and 99652951 unique ideals
- Mon May 13 17:58:56 2019 reduce to 120264947 relations and 93454267 ideals in 7 passes
- Mon May 13 17:58:56 2019 max relations containing the same ideal: 191
- Mon May 13 17:59:40 2019 removing 7098648 relations and 5098648 ideals in 2000000 cliques
- Mon May 13 17:59:42 2019 commencing in-memory singleton removal
- Mon May 13 17:59:50 2019 begin with 113166299 relations and 93454267 unique ideals
- Mon May 13 18:00:38 2019 reduce to 112851570 relations and 88035910 ideals in 6 passes
- Mon May 13 18:00:38 2019 max relations containing the same ideal: 187
- Mon May 13 18:01:19 2019 removing 6709634 relations and 4709634 ideals in 2000000 cliques
- Mon May 13 18:01:21 2019 commencing in-memory singleton removal
- Mon May 13 18:01:28 2019 begin with 106141936 relations and 88035910 unique ideals
- Mon May 13 18:02:20 2019 reduce to 105853221 relations and 83032878 ideals in 7 passes
- Mon May 13 18:02:20 2019 max relations containing the same ideal: 178
- Mon May 13 18:02:59 2019 removing 6459285 relations and 4459285 ideals in 2000000 cliques
- Mon May 13 18:03:01 2019 commencing in-memory singleton removal
- Mon May 13 18:03:08 2019 begin with 99393936 relations and 83032878 unique ideals
- Mon May 13 18:03:56 2019 reduce to 99120066 relations and 78294988 ideals in 7 passes
- Mon May 13 18:03:56 2019 max relations containing the same ideal: 172
- Mon May 13 18:04:33 2019 removing 6279654 relations and 4279654 ideals in 2000000 cliques
- Mon May 13 18:04:35 2019 commencing in-memory singleton removal
- Mon May 13 18:04:41 2019 begin with 92840412 relations and 78294988 unique ideals
- Mon May 13 18:05:20 2019 reduce to 92574739 relations and 73744861 ideals in 6 passes
- Mon May 13 18:05:20 2019 max relations containing the same ideal: 162
- Mon May 13 18:05:54 2019 removing 6141682 relations and 4141682 ideals in 2000000 cliques
- Mon May 13 18:05:56 2019 commencing in-memory singleton removal
- Mon May 13 18:06:02 2019 begin with 86433057 relations and 73744861 unique ideals
- Mon May 13 18:06:38 2019 reduce to 86168477 relations and 69333591 ideals in 6 passes
- Mon May 13 18:06:38 2019 max relations containing the same ideal: 157
- Mon May 13 18:07:10 2019 removing 6033883 relations and 4033883 ideals in 2000000 cliques
- Mon May 13 18:07:12 2019 commencing in-memory singleton removal
- Mon May 13 18:07:17 2019 begin with 80134594 relations and 69333591 unique ideals
- Mon May 13 18:07:50 2019 reduce to 79867415 relations and 65027156 ideals in 6 passes
- Mon May 13 18:07:50 2019 max relations containing the same ideal: 150
- Mon May 13 18:08:20 2019 removing 5943952 relations and 3943952 ideals in 2000000 cliques
- Mon May 13 18:08:22 2019 commencing in-memory singleton removal
- Mon May 13 18:08:27 2019 begin with 73923463 relations and 65027156 unique ideals
- Mon May 13 18:08:57 2019 reduce to 73649465 relations and 60803174 ideals in 6 passes
- Mon May 13 18:08:57 2019 max relations containing the same ideal: 142
- Mon May 13 18:09:24 2019 removing 5875267 relations and 3875267 ideals in 2000000 cliques
- Mon May 13 18:09:26 2019 commencing in-memory singleton removal
- Mon May 13 18:09:31 2019 begin with 67774198 relations and 60803174 unique ideals
- Mon May 13 18:09:58 2019 reduce to 67491530 relations and 56638542 ideals in 6 passes
- Mon May 13 18:09:58 2019 max relations containing the same ideal: 134
- Mon May 13 18:10:23 2019 removing 5821803 relations and 3821803 ideals in 2000000 cliques
- Mon May 13 18:10:25 2019 commencing in-memory singleton removal
- Mon May 13 18:10:29 2019 begin with 61669727 relations and 56638542 unique ideals
- Mon May 13 18:10:59 2019 reduce to 61368491 relations and 52507816 ideals in 7 passes
- Mon May 13 18:10:59 2019 max relations containing the same ideal: 125
- Mon May 13 18:11:21 2019 removing 5782650 relations and 3782650 ideals in 2000000 cliques
- Mon May 13 18:11:23 2019 commencing in-memory singleton removal
- Mon May 13 18:11:27 2019 begin with 55585841 relations and 52507816 unique ideals
- Mon May 13 18:11:53 2019 reduce to 55255386 relations and 48385520 ideals in 7 passes
- Mon May 13 18:11:53 2019 max relations containing the same ideal: 113
- Mon May 13 18:12:13 2019 removing 5770012 relations and 3770012 ideals in 2000000 cliques
- Mon May 13 18:12:15 2019 commencing in-memory singleton removal
- Mon May 13 18:12:18 2019 begin with 49485374 relations and 48385520 unique ideals
- Mon May 13 18:12:38 2019 reduce to 49114341 relations and 44233062 ideals in 6 passes
- Mon May 13 18:12:38 2019 max relations containing the same ideal: 105
- Mon May 13 18:12:56 2019 removing 5781796 relations and 3781796 ideals in 2000000 cliques
- Mon May 13 18:12:58 2019 commencing in-memory singleton removal
- Mon May 13 18:13:01 2019 begin with 43332545 relations and 44233062 unique ideals
- Mon May 13 18:13:24 2019 reduce to 42896801 relations and 40000369 ideals in 8 passes
- Mon May 13 18:13:24 2019 max relations containing the same ideal: 96
- Mon May 13 18:13:40 2019 removing 5841559 relations and 3841559 ideals in 2000000 cliques
- Mon May 13 18:13:42 2019 commencing in-memory singleton removal
- Mon May 13 18:13:44 2019 begin with 37055242 relations and 40000369 unique ideals
- Mon May 13 18:14:03 2019 reduce to 36507566 relations and 35589304 ideals in 8 passes
- Mon May 13 18:14:03 2019 max relations containing the same ideal: 85
- Mon May 13 18:14:17 2019 removing 427592 relations and 342603 ideals in 84989 cliques
- Mon May 13 18:14:18 2019 commencing in-memory singleton removal
- Mon May 13 18:14:20 2019 begin with 36079974 relations and 35589304 unique ideals
- Mon May 13 18:14:32 2019 reduce to 36075760 relations and 35242473 ideals in 5 passes
- Mon May 13 18:14:32 2019 max relations containing the same ideal: 85
- Mon May 13 18:14:37 2019 relations with 0 large ideals: 55037
- Mon May 13 18:14:37 2019 relations with 1 large ideals: 12800
- Mon May 13 18:14:37 2019 relations with 2 large ideals: 151449
- Mon May 13 18:14:37 2019 relations with 3 large ideals: 973982
- Mon May 13 18:14:37 2019 relations with 4 large ideals: 3406630
- Mon May 13 18:14:37 2019 relations with 5 large ideals: 7138308
- Mon May 13 18:14:37 2019 relations with 6 large ideals: 9404429
- Mon May 13 18:14:37 2019 relations with 7+ large ideals: 14933125
- Mon May 13 18:14:37 2019 commencing 2-way merge
- Mon May 13 18:14:56 2019 reduce to 25212551 relation sets and 24379264 unique ideals
- Mon May 13 18:14:56 2019 commencing full merge
- Mon May 13 18:31:44 2019 memory use: 1129.9 MB
- Mon May 13 18:31:44 2019 found 107175 cycles, need 5394260
- Mon May 13 18:31:44 2019 too few cycles, matrix probably cannot build
- Mon May 13 20:30:30 2019
- Mon May 13 20:30:30 2019
- Mon May 13 20:30:30 2019 Msieve v. 1.53 (SVN 988M)
- Mon May 13 20:30:30 2019 random seeds: d4d224a8 d26b13eb
- Mon May 13 20:30:30 2019 factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
- Mon May 13 20:30:32 2019 searching for 15-digit factors
- Mon May 13 20:30:33 2019 commencing number field sieve (212-digit input)
- Mon May 13 20:30:33 2019 R0: -348449144561426154917576131781987977226227
- Mon May 13 20:30:33 2019 R1: 14766705728856080112111339729366024192
- Mon May 13 20:30:33 2019 A0: -64
- Mon May 13 20:30:33 2019 A1: 192
- Mon May 13 20:30:33 2019 A2: 96
- Mon May 13 20:30:33 2019 A3: -288
- Mon May 13 20:30:33 2019 A4: -144
- Mon May 13 20:30:33 2019 A5: 54
- Mon May 13 20:30:33 2019 A6: 27
- Mon May 13 20:30:33 2019 skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
- Mon May 13 20:30:33 2019
- Mon May 13 20:30:33 2019 commencing relation filtering
- Mon May 13 20:30:33 2019 setting target matrix density to 124.0
- Mon May 13 20:30:33 2019 estimated available RAM is 32768.0 MB
- Mon May 13 20:30:33 2019 commencing duplicate removal, pass 1
- Mon May 13 20:38:33 2019 error -1 reading relation 81325500
- [5746 more error lines]
- Mon May 13 20:50:27 2019 error -1 reading relation 199944366
- Mon May 13 20:50:57 2019 skipped 135 relations with b > 2^32
- Mon May 13 20:50:57 2019 skipped 5041 relations with composite factors
- Mon May 13 20:50:57 2019 found 9030484 hash collisions in 203152416 relations
- Mon May 13 20:50:57 2019 commencing duplicate removal, pass 2
- Mon May 13 20:51:44 2019 found 0 duplicates and 203152416 unique relations
- Mon May 13 20:51:44 2019 memory use: 522.4 MB
- Mon May 13 20:51:44 2019 reading ideals above 133890048
- Mon May 13 20:51:44 2019 commencing singleton removal, initial pass
- Mon May 13 21:06:30 2019 memory use: 5512.0 MB
- Mon May 13 21:06:31 2019 reading all ideals from disk
- Mon May 13 21:06:33 2019 memory use: 3824.0 MB
- Mon May 13 21:06:40 2019 commencing in-memory singleton removal
- Mon May 13 21:06:47 2019 begin with 203152416 relations and 163851534 unique ideals
- Mon May 13 21:08:11 2019 reduce to 139298250 relations and 94049100 ideals in 13 passes
- Mon May 13 21:08:11 2019 max relations containing the same ideal: 42
- Mon May 13 21:08:22 2019 reading ideals above 720000
- Mon May 13 21:08:23 2019 commencing singleton removal, initial pass
- Mon May 13 21:22:05 2019 memory use: 3012.0 MB
- Mon May 13 21:22:06 2019 reading all ideals from disk
- Mon May 13 21:22:09 2019 memory use: 5520.3 MB
- Mon May 13 21:22:21 2019 keeping 108503273 ideals with weight <= 200, target excess is 718338
- Mon May 13 21:22:35 2019 commencing in-memory singleton removal
- Mon May 13 21:22:44 2019 begin with 139298250 relations and 108503273 unique ideals
- Mon May 13 21:23:16 2019 reduce to 139298246 relations and 108503269 ideals in 3 passes
- Mon May 13 21:23:16 2019 max relations containing the same ideal: 200
- Mon May 13 21:24:08 2019 removing 10293130 relations and 8293130 ideals in 2000000 cliques
- Mon May 13 21:24:11 2019 commencing in-memory singleton removal
- Mon May 13 21:24:20 2019 begin with 129005116 relations and 108503269 unique ideals
- Mon May 13 21:25:48 2019 reduce to 128457834 relations and 99652951 ideals in 9 passes
- Mon May 13 21:25:48 2019 max relations containing the same ideal: 196
- Mon May 13 21:26:36 2019 removing 7829896 relations and 5829896 ideals in 2000000 cliques
- Mon May 13 21:26:39 2019 commencing in-memory singleton removal
- Mon May 13 21:26:47 2019 begin with 120627938 relations and 99652951 unique ideals
- Mon May 13 21:27:50 2019 reduce to 120264947 relations and 93454267 ideals in 7 passes
- Mon May 13 21:27:50 2019 max relations containing the same ideal: 191
- Mon May 13 21:28:35 2019 removing 7098648 relations and 5098648 ideals in 2000000 cliques
- Mon May 13 21:28:38 2019 commencing in-memory singleton removal
- Mon May 13 21:28:46 2019 begin with 113166299 relations and 93454267 unique ideals
- Mon May 13 21:29:37 2019 reduce to 112851570 relations and 88035910 ideals in 6 passes
- Mon May 13 21:29:37 2019 max relations containing the same ideal: 187
- Mon May 13 21:30:19 2019 removing 6709634 relations and 4709634 ideals in 2000000 cliques
- Mon May 13 21:30:22 2019 commencing in-memory singleton removal
- Mon May 13 21:30:29 2019 begin with 106141936 relations and 88035910 unique ideals
- Mon May 13 21:31:25 2019 reduce to 105853221 relations and 83032878 ideals in 7 passes
- Mon May 13 21:31:25 2019 max relations containing the same ideal: 178
- Mon May 13 21:32:05 2019 removing 6459285 relations and 4459285 ideals in 2000000 cliques
- Mon May 13 21:32:07 2019 commencing in-memory singleton removal
- Mon May 13 21:32:14 2019 begin with 99393936 relations and 83032878 unique ideals
- Mon May 13 21:33:06 2019 reduce to 99120066 relations and 78294988 ideals in 7 passes
- Mon May 13 21:33:06 2019 max relations containing the same ideal: 172
- Mon May 13 21:33:43 2019 removing 6279654 relations and 4279654 ideals in 2000000 cliques
- Mon May 13 21:33:46 2019 commencing in-memory singleton removal
- Mon May 13 21:33:52 2019 begin with 92840412 relations and 78294988 unique ideals
- Mon May 13 21:34:33 2019 reduce to 92574739 relations and 73744861 ideals in 6 passes
- Mon May 13 21:34:33 2019 max relations containing the same ideal: 162
- Mon May 13 21:35:09 2019 removing 6141682 relations and 4141682 ideals in 2000000 cliques
- Mon May 13 21:35:11 2019 commencing in-memory singleton removal
- Mon May 13 21:35:17 2019 begin with 86433057 relations and 73744861 unique ideals
- Mon May 13 21:35:54 2019 reduce to 86168477 relations and 69333591 ideals in 6 passes
- Mon May 13 21:35:54 2019 max relations containing the same ideal: 157
- Mon May 13 21:36:27 2019 removing 6033883 relations and 4033883 ideals in 2000000 cliques
- Mon May 13 21:36:30 2019 commencing in-memory singleton removal
- Mon May 13 21:36:35 2019 begin with 80134594 relations and 69333591 unique ideals
- Mon May 13 21:37:10 2019 reduce to 79867415 relations and 65027156 ideals in 6 passes
- Mon May 13 21:37:10 2019 max relations containing the same ideal: 150
- Mon May 13 21:37:40 2019 removing 5943952 relations and 3943952 ideals in 2000000 cliques
- Mon May 13 21:37:43 2019 commencing in-memory singleton removal
- Mon May 13 21:37:47 2019 begin with 73923463 relations and 65027156 unique ideals
- Mon May 13 21:38:20 2019 reduce to 73649465 relations and 60803174 ideals in 6 passes
- Mon May 13 21:38:20 2019 max relations containing the same ideal: 142
- Mon May 13 21:38:48 2019 removing 5875267 relations and 3875267 ideals in 2000000 cliques
- Mon May 13 21:38:50 2019 commencing in-memory singleton removal
- Mon May 13 21:38:54 2019 begin with 67774198 relations and 60803174 unique ideals
- Mon May 13 21:39:24 2019 reduce to 67491530 relations and 56638542 ideals in 6 passes
- Mon May 13 21:39:24 2019 max relations containing the same ideal: 134
- Mon May 13 21:39:49 2019 removing 5821803 relations and 3821803 ideals in 2000000 cliques
- Mon May 13 21:39:51 2019 commencing in-memory singleton removal
- Mon May 13 21:39:55 2019 begin with 61669727 relations and 56638542 unique ideals
- Mon May 13 21:40:26 2019 reduce to 61368491 relations and 52507816 ideals in 7 passes
- Mon May 13 21:40:26 2019 max relations containing the same ideal: 125
- Mon May 13 21:40:50 2019 removing 5782650 relations and 3782650 ideals in 2000000 cliques
- Mon May 13 21:40:52 2019 commencing in-memory singleton removal
- Mon May 13 21:40:56 2019 begin with 55585841 relations and 52507816 unique ideals
- Mon May 13 21:41:23 2019 reduce to 55255386 relations and 48385520 ideals in 7 passes
- Mon May 13 21:41:23 2019 max relations containing the same ideal: 113
- Mon May 13 21:41:45 2019 removing 5770012 relations and 3770012 ideals in 2000000 cliques
- Mon May 13 21:41:46 2019 commencing in-memory singleton removal
- Mon May 13 21:41:50 2019 begin with 49485374 relations and 48385520 unique ideals
- Mon May 13 21:42:11 2019 reduce to 49114341 relations and 44233062 ideals in 6 passes
- Mon May 13 21:42:11 2019 max relations containing the same ideal: 105
- Mon May 13 21:42:30 2019 removing 5781796 relations and 3781796 ideals in 2000000 cliques
- Mon May 13 21:42:31 2019 commencing in-memory singleton removal
- Mon May 13 21:42:34 2019 begin with 43332545 relations and 44233062 unique ideals
- Mon May 13 21:42:58 2019 reduce to 42896801 relations and 40000369 ideals in 8 passes
- Mon May 13 21:42:58 2019 max relations containing the same ideal: 96
- Mon May 13 21:43:15 2019 removing 5841559 relations and 3841559 ideals in 2000000 cliques
- Mon May 13 21:43:16 2019 commencing in-memory singleton removal
- Mon May 13 21:43:19 2019 begin with 37055242 relations and 40000369 unique ideals
- Mon May 13 21:43:39 2019 reduce to 36507566 relations and 35589304 ideals in 8 passes
- Mon May 13 21:43:39 2019 max relations containing the same ideal: 85
- Mon May 13 21:43:53 2019 removing 427592 relations and 342603 ideals in 84989 cliques
- Mon May 13 21:43:54 2019 commencing in-memory singleton removal
- Mon May 13 21:43:57 2019 begin with 36079974 relations and 35589304 unique ideals
- Mon May 13 21:44:09 2019 reduce to 36075760 relations and 35242473 ideals in 5 passes
- Mon May 13 21:44:09 2019 max relations containing the same ideal: 85
- Mon May 13 21:44:14 2019 relations with 0 large ideals: 55037
- Mon May 13 21:44:14 2019 relations with 1 large ideals: 12800
- Mon May 13 21:44:14 2019 relations with 2 large ideals: 151449
- Mon May 13 21:44:14 2019 relations with 3 large ideals: 973982
- Mon May 13 21:44:14 2019 relations with 4 large ideals: 3406630
- Mon May 13 21:44:14 2019 relations with 5 large ideals: 7138308
- Mon May 13 21:44:14 2019 relations with 6 large ideals: 9404429
- Mon May 13 21:44:14 2019 relations with 7+ large ideals: 14933125
- Mon May 13 21:44:14 2019 commencing 2-way merge
- Mon May 13 21:44:34 2019 reduce to 25212551 relation sets and 24379264 unique ideals
- Mon May 13 21:44:34 2019 commencing full merge
- Mon May 13 22:01:37 2019 memory use: 1129.9 MB
- Mon May 13 22:01:37 2019 found 107175 cycles, need 5394260
- Mon May 13 22:01:37 2019 too few cycles, matrix probably cannot build
- Mon May 13 22:31:52 2019
- Mon May 13 22:31:52 2019
- Mon May 13 22:31:52 2019 Msieve v. 1.53 (SVN 988M)
- Mon May 13 22:31:52 2019 random seeds: 6576e7c5 fb561e89
- Mon May 13 22:31:52 2019 factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
- Mon May 13 22:31:53 2019 searching for 15-digit factors
- Mon May 13 22:31:54 2019 commencing number field sieve (212-digit input)
- Mon May 13 22:31:54 2019 R0: -348449144561426154917576131781987977226227
- Mon May 13 22:31:54 2019 R1: 14766705728856080112111339729366024192
- Mon May 13 22:31:54 2019 A0: -64
- Mon May 13 22:31:54 2019 A1: 192
- Mon May 13 22:31:54 2019 A2: 96
- Mon May 13 22:31:54 2019 A3: -288
- Mon May 13 22:31:54 2019 A4: -144
- Mon May 13 22:31:54 2019 A5: 54
- Mon May 13 22:31:54 2019 A6: 27
- Mon May 13 22:31:54 2019 skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
- Mon May 13 22:31:54 2019
- Mon May 13 22:31:54 2019 commencing relation filtering
- Mon May 13 22:31:54 2019 setting target matrix density to 120.0
- Mon May 13 22:31:54 2019 estimated available RAM is 32768.0 MB
- Mon May 13 22:31:54 2019 commencing duplicate removal, pass 1
- Mon May 13 22:39:55 2019 error -1 reading relation 81325500
- [5746 more error lines]
- Mon May 13 22:51:49 2019 error -1 reading relation 199944366
- Mon May 13 22:52:19 2019 skipped 135 relations with b > 2^32
- Mon May 13 22:52:19 2019 skipped 5041 relations with composite factors
- Mon May 13 22:52:19 2019 found 9030484 hash collisions in 203152416 relations
- Mon May 13 22:52:19 2019 commencing duplicate removal, pass 2
- Mon May 13 22:53:05 2019 found 0 duplicates and 203152416 unique relations
- Mon May 13 22:53:05 2019 memory use: 522.4 MB
- Mon May 13 22:53:05 2019 reading ideals above 133890048
- Mon May 13 22:53:05 2019 commencing singleton removal, initial pass
- Mon May 13 23:07:51 2019 memory use: 5512.0 MB
- Mon May 13 23:07:51 2019 reading all ideals from disk
- Mon May 13 23:07:53 2019 memory use: 3824.0 MB
- Mon May 13 23:08:00 2019 commencing in-memory singleton removal
- Mon May 13 23:08:07 2019 begin with 203152416 relations and 163851534 unique ideals
- Mon May 13 23:09:31 2019 reduce to 139298250 relations and 94049100 ideals in 13 passes
- Mon May 13 23:09:31 2019 max relations containing the same ideal: 42
- Mon May 13 23:09:43 2019 reading ideals above 720000
- Mon May 13 23:09:43 2019 commencing singleton removal, initial pass
- Mon May 13 23:23:26 2019 memory use: 3012.0 MB
- Mon May 13 23:23:26 2019 reading all ideals from disk
- Mon May 13 23:23:30 2019 memory use: 5520.3 MB
- Mon May 13 23:23:42 2019 keeping 108503273 ideals with weight <= 200, target excess is 718338
- Mon May 13 23:23:55 2019 commencing in-memory singleton removal
- Mon May 13 23:24:05 2019 begin with 139298250 relations and 108503273 unique ideals
- Mon May 13 23:24:37 2019 reduce to 139298246 relations and 108503269 ideals in 3 passes
- Mon May 13 23:24:37 2019 max relations containing the same ideal: 200
- Mon May 13 23:25:28 2019 removing 10293130 relations and 8293130 ideals in 2000000 cliques
- Mon May 13 23:25:32 2019 commencing in-memory singleton removal
- Mon May 13 23:25:41 2019 begin with 129005116 relations and 108503269 unique ideals
- Mon May 13 23:27:08 2019 reduce to 128457834 relations and 99652951 ideals in 9 passes
- Mon May 13 23:27:08 2019 max relations containing the same ideal: 196
- Mon May 13 23:27:57 2019 removing 7829896 relations and 5829896 ideals in 2000000 cliques
- Mon May 13 23:28:00 2019 commencing in-memory singleton removal
- Mon May 13 23:28:08 2019 begin with 120627938 relations and 99652951 unique ideals
- Mon May 13 23:29:11 2019 reduce to 120264947 relations and 93454267 ideals in 7 passes
- Mon May 13 23:29:11 2019 max relations containing the same ideal: 191
- Mon May 13 23:29:57 2019 removing 7098648 relations and 5098648 ideals in 2000000 cliques
- Mon May 13 23:29:59 2019 commencing in-memory singleton removal
- Mon May 13 23:30:07 2019 begin with 113166299 relations and 93454267 unique ideals
- Mon May 13 23:30:58 2019 reduce to 112851570 relations and 88035910 ideals in 6 passes
- Mon May 13 23:30:58 2019 max relations containing the same ideal: 187
- Mon May 13 23:31:40 2019 removing 6709634 relations and 4709634 ideals in 2000000 cliques
- Mon May 13 23:31:43 2019 commencing in-memory singleton removal
- Mon May 13 23:31:50 2019 begin with 106141936 relations and 88035910 unique ideals
- Mon May 13 23:32:46 2019 reduce to 105853221 relations and 83032878 ideals in 7 passes
- Mon May 13 23:32:46 2019 max relations containing the same ideal: 178
- Mon May 13 23:33:26 2019 removing 6459285 relations and 4459285 ideals in 2000000 cliques
- Mon May 13 23:33:28 2019 commencing in-memory singleton removal
- Mon May 13 23:33:35 2019 begin with 99393936 relations and 83032878 unique ideals
- Mon May 13 23:34:27 2019 reduce to 99120066 relations and 78294988 ideals in 7 passes
- Mon May 13 23:34:27 2019 max relations containing the same ideal: 172
- Mon May 13 23:35:04 2019 removing 6279654 relations and 4279654 ideals in 2000000 cliques
- Mon May 13 23:35:06 2019 commencing in-memory singleton removal
- Mon May 13 23:35:13 2019 begin with 92840412 relations and 78294988 unique ideals
- Mon May 13 23:35:54 2019 reduce to 92574739 relations and 73744861 ideals in 6 passes
- Mon May 13 23:35:54 2019 max relations containing the same ideal: 162
- Mon May 13 23:36:29 2019 removing 6141682 relations and 4141682 ideals in 2000000 cliques
- Mon May 13 23:36:31 2019 commencing in-memory singleton removal
- Mon May 13 23:36:37 2019 begin with 86433057 relations and 73744861 unique ideals
- Mon May 13 23:37:15 2019 reduce to 86168477 relations and 69333591 ideals in 6 passes
- Mon May 13 23:37:15 2019 max relations containing the same ideal: 157
- Mon May 13 23:37:48 2019 removing 6033883 relations and 4033883 ideals in 2000000 cliques
- Mon May 13 23:37:50 2019 commencing in-memory singleton removal
- Mon May 13 23:37:56 2019 begin with 80134594 relations and 69333591 unique ideals
- Mon May 13 23:38:31 2019 reduce to 79867415 relations and 65027156 ideals in 6 passes
- Mon May 13 23:38:31 2019 max relations containing the same ideal: 150
- Mon May 13 23:39:01 2019 removing 5943952 relations and 3943952 ideals in 2000000 cliques
- Mon May 13 23:39:04 2019 commencing in-memory singleton removal
- Mon May 13 23:39:08 2019 begin with 73923463 relations and 65027156 unique ideals
- Mon May 13 23:39:41 2019 reduce to 73649465 relations and 60803174 ideals in 6 passes
- Mon May 13 23:39:41 2019 max relations containing the same ideal: 142
- Mon May 13 23:40:09 2019 removing 5875267 relations and 3875267 ideals in 2000000 cliques
- Mon May 13 23:40:11 2019 commencing in-memory singleton removal
- Mon May 13 23:40:15 2019 begin with 67774198 relations and 60803174 unique ideals
- Mon May 13 23:40:44 2019 reduce to 67491530 relations and 56638542 ideals in 6 passes
- Mon May 13 23:40:44 2019 max relations containing the same ideal: 134
- Mon May 13 23:41:10 2019 removing 5821803 relations and 3821803 ideals in 2000000 cliques
- Mon May 13 23:41:12 2019 commencing in-memory singleton removal
- Mon May 13 23:41:16 2019 begin with 61669727 relations and 56638542 unique ideals
- Mon May 13 23:41:47 2019 reduce to 61368491 relations and 52507816 ideals in 7 passes
- Mon May 13 23:41:47 2019 max relations containing the same ideal: 125
- Mon May 13 23:42:10 2019 removing 5782650 relations and 3782650 ideals in 2000000 cliques
- Mon May 13 23:42:12 2019 commencing in-memory singleton removal
- Mon May 13 23:42:16 2019 begin with 55585841 relations and 52507816 unique ideals
- Mon May 13 23:42:43 2019 reduce to 55255386 relations and 48385520 ideals in 7 passes
- Mon May 13 23:42:43 2019 max relations containing the same ideal: 113
- Mon May 13 23:43:05 2019 removing 5770012 relations and 3770012 ideals in 2000000 cliques
- Mon May 13 23:43:06 2019 commencing in-memory singleton removal
- Mon May 13 23:43:10 2019 begin with 49485374 relations and 48385520 unique ideals
- Mon May 13 23:43:31 2019 reduce to 49114341 relations and 44233062 ideals in 6 passes
- Mon May 13 23:43:31 2019 max relations containing the same ideal: 105
- Mon May 13 23:43:50 2019 removing 5781796 relations and 3781796 ideals in 2000000 cliques
- Mon May 13 23:43:51 2019 commencing in-memory singleton removal
- Mon May 13 23:43:54 2019 begin with 43332545 relations and 44233062 unique ideals
- Mon May 13 23:44:18 2019 reduce to 42896801 relations and 40000369 ideals in 8 passes
- Mon May 13 23:44:18 2019 max relations containing the same ideal: 96
- Mon May 13 23:44:35 2019 removing 5841559 relations and 3841559 ideals in 2000000 cliques
- Mon May 13 23:44:37 2019 commencing in-memory singleton removal
- Mon May 13 23:44:39 2019 begin with 37055242 relations and 40000369 unique ideals
- Mon May 13 23:45:00 2019 reduce to 36507566 relations and 35589304 ideals in 8 passes
- Mon May 13 23:45:00 2019 max relations containing the same ideal: 85
- Mon May 13 23:45:14 2019 removing 427592 relations and 342603 ideals in 84989 cliques
- Mon May 13 23:45:15 2019 commencing in-memory singleton removal
- Mon May 13 23:45:17 2019 begin with 36079974 relations and 35589304 unique ideals
- Mon May 13 23:45:29 2019 reduce to 36075760 relations and 35242473 ideals in 5 passes
- Mon May 13 23:45:29 2019 max relations containing the same ideal: 85
- Mon May 13 23:45:34 2019 relations with 0 large ideals: 55037
- Mon May 13 23:45:34 2019 relations with 1 large ideals: 12800
- Mon May 13 23:45:34 2019 relations with 2 large ideals: 151449
- Mon May 13 23:45:34 2019 relations with 3 large ideals: 973982
- Mon May 13 23:45:34 2019 relations with 4 large ideals: 3406630
- Mon May 13 23:45:34 2019 relations with 5 large ideals: 7138308
- Mon May 13 23:45:34 2019 relations with 6 large ideals: 9404429
- Mon May 13 23:45:34 2019 relations with 7+ large ideals: 14933125
- Mon May 13 23:45:34 2019 commencing 2-way merge
- Mon May 13 23:45:54 2019 reduce to 25212551 relation sets and 24379264 unique ideals
- Mon May 13 23:45:54 2019 commencing full merge
- Mon May 13 23:55:12 2019 memory use: 3219.2 MB
- Mon May 13 23:55:17 2019 found 11118079 cycles, need 11099464
- Mon May 13 23:55:18 2019 weight of 11099464 cycles is about 1332489940 (120.05/cycle)
- Mon May 13 23:55:18 2019 distribution of cycle lengths:
- Mon May 13 23:55:18 2019 1 relations: 398963
- Mon May 13 23:55:18 2019 2 relations: 565011
- Mon May 13 23:55:18 2019 3 relations: 709549
- Mon May 13 23:55:18 2019 4 relations: 770758
- Mon May 13 23:55:18 2019 5 relations: 816232
- Mon May 13 23:55:18 2019 6 relations: 829405
- Mon May 13 23:55:18 2019 7 relations: 821623
- Mon May 13 23:55:18 2019 8 relations: 792286
- Mon May 13 23:55:18 2019 9 relations: 744786
- Mon May 13 23:55:18 2019 10+ relations: 4650851
- Mon May 13 23:55:18 2019 heaviest cycle: 28 relations
- Mon May 13 23:55:22 2019 commencing cycle optimization
- Mon May 13 23:55:48 2019 start with 102148139 relations
- Tue May 14 00:00:25 2019 pruned 5421533 relations
- Tue May 14 00:00:26 2019 memory use: 2555.3 MB
- Tue May 14 00:00:26 2019 distribution of cycle lengths:
- Tue May 14 00:00:26 2019 1 relations: 398963
- Tue May 14 00:00:26 2019 2 relations: 579609
- Tue May 14 00:00:26 2019 3 relations: 740851
- Tue May 14 00:00:26 2019 4 relations: 807119
- Tue May 14 00:00:26 2019 5 relations: 864636
- Tue May 14 00:00:26 2019 6 relations: 877879
- Tue May 14 00:00:26 2019 7 relations: 874866
- Tue May 14 00:00:26 2019 8 relations: 839987
- Tue May 14 00:00:26 2019 9 relations: 788745
- Tue May 14 00:00:26 2019 10+ relations: 4326809
- Tue May 14 00:00:26 2019 heaviest cycle: 28 relations
- Tue May 14 00:00:51 2019 RelProcTime: 5337
- Tue May 14 00:00:51 2019
- Tue May 14 00:00:51 2019 commencing linear algebra
- Tue May 14 00:00:53 2019 read 11099464 cycles
- Tue May 14 00:01:17 2019 cycles contain 35708197 unique relations
- Tue May 14 00:03:40 2019 read 35708197 relations
- Tue May 14 00:04:56 2019 using 20 quadratic characters above 4294917295
- Tue May 14 00:07:01 2019 building initial matrix
- Tue May 14 00:13:23 2019 memory use: 4711.7 MB
- Tue May 14 00:13:33 2019 read 11099464 cycles
- Tue May 14 00:13:35 2019 matrix is 11099287 x 11099464 (5176.6 MB) with weight 1477931797 (133.15/col)
- Tue May 14 00:13:35 2019 sparse part has weight 1234926494 (111.26/col)
- Tue May 14 00:15:30 2019 filtering completed in 2 passes
- Tue May 14 00:15:31 2019 matrix is 11099184 x 11099361 (5176.6 MB) with weight 1477928205 (133.15/col)
- Tue May 14 00:15:31 2019 sparse part has weight 1234925117 (111.26/col)
- Tue May 14 00:16:08 2019 matrix starts at (0, 0)
- Tue May 14 00:16:09 2019 matrix is 11099184 x 11099361 (5176.6 MB) with weight 1477928205 (133.15/col)
- Tue May 14 00:16:09 2019 sparse part has weight 1234925117 (111.26/col)
- Tue May 14 00:16:09 2019 saving the first 48 matrix rows for later
- Tue May 14 00:16:11 2019 matrix includes 64 packed rows
- Tue May 14 00:16:12 2019 matrix is 11099136 x 11099361 (4970.9 MB) with weight 1273744899 (114.76/col)
- Tue May 14 00:16:12 2019 sparse part has weight 1192105159 (107.40/col)
- Tue May 14 00:16:12 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
- Tue May 14 00:17:05 2019 commencing Lanczos iteration (8 threads)
- Tue May 14 00:17:05 2019 memory use: 4252.1 MB
- Tue May 14 00:17:28 2019 linear algebra at 0.0%, ETA 42h42m
- Tue May 14 00:17:36 2019 checkpointing every 260000 dimensions
- Wed May 15 20:34:14 2019 lanczos halted after 175511 iterations (dim = 11099132)
- Wed May 15 20:34:26 2019 recovered 32 nontrivial dependencies
- Wed May 15 20:34:28 2019 BLanczosTime: 160417
- Wed May 15 20:34:28 2019
- Wed May 15 20:34:28 2019 commencing square root phase
- Wed May 15 20:34:28 2019 handling dependencies 1 to 64
- Wed May 15 20:34:28 2019 reading relations for dependency 1
- Wed May 15 20:34:30 2019 read 5545540 cycles
- Wed May 15 20:34:41 2019 cycles contain 17844198 unique relations
- Wed May 15 20:36:00 2019 read 17844198 relations
- Wed May 15 20:37:16 2019 multiplying 17844198 relations
- Wed May 15 20:48:29 2019 multiply complete, coefficients have about 537.78 million bits
- Wed May 15 20:48:31 2019 initial square root is modulo 66841
- Wed May 15 21:00:24 2019 GCD is 1, no factor found
- Wed May 15 21:00:24 2019 reading relations for dependency 2
- Wed May 15 21:00:26 2019 read 5549477 cycles
- Wed May 15 21:00:37 2019 cycles contain 17854244 unique relations
- Wed May 15 21:01:53 2019 read 17854244 relations
- Wed May 15 21:03:08 2019 multiplying 17854244 relations
- Wed May 15 21:14:25 2019 multiply complete, coefficients have about 538.10 million bits
- Wed May 15 21:14:27 2019 initial square root is modulo 67261
- Wed May 15 21:26:23 2019 sqrtTime: 3115
- Wed May 15 21:26:23 2019 p104 factor: 64436931879094263235111700136435764445369108325384483624124517373783654007447081910521557088048709360661
- Wed May 15 21:26:23 2019 p108 factor: 624329458036390954785061759479175754959929519432092764178922291593159381284792091023914414817104728161586101
- Wed May 15 21:26:23 2019 elapsed time 46:54:31
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