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- Tue Sep 29 22:22:55 2020
- Tue Sep 29 22:22:55 2020
- Tue Sep 29 22:22:55 2020 Msieve v. 1.54 (SVN 1028)
- Tue Sep 29 22:22:55 2020 random seeds: c3f62147 3a4aada3
- Tue Sep 29 22:22:55 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Tue Sep 29 22:22:56 2020 no P-1/P+1/ECM available, skipping
- Tue Sep 29 22:22:56 2020 commencing number field sieve (227-digit input)
- Tue Sep 29 22:22:56 2020 R0: 1361129467683753853853498429727072845824
- Tue Sep 29 22:22:56 2020 R1: -1
- Tue Sep 29 22:22:56 2020 A0: -1
- Tue Sep 29 22:22:56 2020 A1: 0
- Tue Sep 29 22:22:56 2020 A2: 0
- Tue Sep 29 22:22:56 2020 A3: 0
- Tue Sep 29 22:22:56 2020 A4: 0
- Tue Sep 29 22:22:56 2020 A5: 0
- Tue Sep 29 22:22:56 2020 A6: 20
- Tue Sep 29 22:22:56 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Tue Sep 29 22:22:56 2020
- Tue Sep 29 22:22:56 2020 commencing relation filtering
- Tue Sep 29 22:22:56 2020 estimated available RAM is 48133.0 MB
- Tue Sep 29 22:22:56 2020 commencing duplicate removal, pass 1
- Tue Sep 29 22:35:24 2020 error -15 reading relation 86369473
- .....
- Tue Sep 29 22:46:36 2020 error -11 reading relation 163715743
- Tue Sep 29 22:47:42 2020 skipped 126 relations with b > 2^32
- Tue Sep 29 22:47:42 2020 skipped 85 relations with composite factors
- Tue Sep 29 22:47:42 2020 found 6483681 hash collisions in 171229923 relations
- Tue Sep 29 22:48:00 2020 added 1218633 free relations
- Tue Sep 29 22:48:00 2020 commencing duplicate removal, pass 2
- Tue Sep 29 22:48:46 2020 found 0 duplicates and 172448556 unique relations
- Tue Sep 29 22:48:46 2020 memory use: 506.4 MB
- Tue Sep 29 22:48:46 2020 reading ideals above 720000
- Tue Sep 29 22:48:46 2020 commencing singleton removal, initial pass
- Tue Sep 29 23:12:13 2020 memory use: 3012.0 MB
- Tue Sep 29 23:12:13 2020 reading all ideals from disk
- Tue Sep 29 23:12:16 2020 memory use: 6603.6 MB
- Tue Sep 29 23:12:40 2020 keeping 161246470 ideals with weight <= 200, target excess is 1070935
- Tue Sep 29 23:13:05 2020 commencing in-memory singleton removal
- Tue Sep 29 23:13:22 2020 begin with 172448556 relations and 161246470 unique ideals
- Tue Sep 29 23:15:18 2020 reduce to 86154838 relations and 64468350 ideals in 12 passes
- Tue Sep 29 23:15:18 2020 max relations containing the same ideal: 133
- Tue Sep 29 23:16:05 2020 removing 8329430 relations and 6329430 ideals in 2000000 cliques
- Tue Sep 29 23:16:08 2020 commencing in-memory singleton removal
- Tue Sep 29 23:16:16 2020 begin with 77825408 relations and 64468350 unique ideals
- Tue Sep 29 23:17:23 2020 reduce to 77235253 relations and 57532144 ideals in 9 passes
- Tue Sep 29 23:17:23 2020 max relations containing the same ideal: 127
- Tue Sep 29 23:18:05 2020 removing 6730907 relations and 4730907 ideals in 2000000 cliques
- Tue Sep 29 23:18:08 2020 commencing in-memory singleton removal
- Tue Sep 29 23:18:15 2020 begin with 70504346 relations and 57532144 unique ideals
- Tue Sep 29 23:19:01 2020 reduce to 70080841 relations and 52366844 ideals in 7 passes
- Tue Sep 29 23:19:01 2020 max relations containing the same ideal: 116
- Tue Sep 29 23:19:38 2020 removing 6273426 relations and 4273426 ideals in 2000000 cliques
- Tue Sep 29 23:19:40 2020 commencing in-memory singleton removal
- Tue Sep 29 23:19:46 2020 begin with 63807415 relations and 52366844 unique ideals
- Tue Sep 29 23:20:27 2020 reduce to 63424030 relations and 47699794 ideals in 7 passes
- Tue Sep 29 23:20:27 2020 max relations containing the same ideal: 106
- Tue Sep 29 23:21:00 2020 removing 6039460 relations and 4039460 ideals in 2000000 cliques
- Tue Sep 29 23:21:02 2020 commencing in-memory singleton removal
- Tue Sep 29 23:21:07 2020 begin with 57384570 relations and 47699794 unique ideals
- Tue Sep 29 23:21:45 2020 reduce to 57009378 relations and 43274183 ideals in 7 passes
- Tue Sep 29 23:21:45 2020 max relations containing the same ideal: 100
- Tue Sep 29 23:22:15 2020 removing 5900115 relations and 3900115 ideals in 2000000 cliques
- Tue Sep 29 23:22:17 2020 commencing in-memory singleton removal
- Tue Sep 29 23:22:22 2020 begin with 51109263 relations and 43274183 unique ideals
- Tue Sep 29 23:22:53 2020 reduce to 50724972 relations and 38977779 ideals in 7 passes
- Tue Sep 29 23:22:53 2020 max relations containing the same ideal: 94
- Tue Sep 29 23:23:19 2020 removing 5812614 relations and 3812614 ideals in 2000000 cliques
- Tue Sep 29 23:23:21 2020 commencing in-memory singleton removal
- Tue Sep 29 23:23:25 2020 begin with 44912358 relations and 38977779 unique ideals
- Tue Sep 29 23:23:51 2020 reduce to 44504507 relations and 34742891 ideals in 7 passes
- Tue Sep 29 23:23:51 2020 max relations containing the same ideal: 86
- Tue Sep 29 23:24:14 2020 removing 5764177 relations and 3764177 ideals in 2000000 cliques
- Tue Sep 29 23:24:16 2020 commencing in-memory singleton removal
- Tue Sep 29 23:24:19 2020 begin with 38740330 relations and 34742891 unique ideals
- Tue Sep 29 23:24:41 2020 reduce to 38291562 relations and 30512451 ideals in 7 passes
- Tue Sep 29 23:24:41 2020 max relations containing the same ideal: 75
- Tue Sep 29 23:25:00 2020 removing 5746498 relations and 3746498 ideals in 2000000 cliques
- Tue Sep 29 23:25:02 2020 commencing in-memory singleton removal
- Tue Sep 29 23:25:05 2020 begin with 32545064 relations and 30512451 unique ideals
- Tue Sep 29 23:25:23 2020 reduce to 32034074 relations and 26231996 ideals in 7 passes
- Tue Sep 29 23:25:23 2020 max relations containing the same ideal: 69
- Tue Sep 29 23:25:39 2020 removing 5758355 relations and 3758356 ideals in 2000000 cliques
- Tue Sep 29 23:25:40 2020 commencing in-memory singleton removal
- Tue Sep 29 23:25:42 2020 begin with 26275719 relations and 26231996 unique ideals
- Tue Sep 29 23:25:58 2020 reduce to 25667654 relations and 21833329 ideals in 8 passes
- Tue Sep 29 23:25:58 2020 max relations containing the same ideal: 62
- Tue Sep 29 23:26:10 2020 removing 5789495 relations and 3789495 ideals in 2000000 cliques
- Tue Sep 29 23:26:12 2020 commencing in-memory singleton removal
- Tue Sep 29 23:26:13 2020 begin with 19878159 relations and 21833329 unique ideals
- Tue Sep 29 23:26:24 2020 reduce to 19109996 relations and 17224719 ideals in 8 passes
- Tue Sep 29 23:26:24 2020 max relations containing the same ideal: 49
- Tue Sep 29 23:26:33 2020 removing 2304210 relations and 1661218 ideals in 642992 cliques
- Tue Sep 29 23:26:34 2020 commencing in-memory singleton removal
- Tue Sep 29 23:26:35 2020 begin with 16805786 relations and 17224719 unique ideals
- Tue Sep 29 23:26:44 2020 reduce to 16596436 relations and 15347700 ideals in 8 passes
- Tue Sep 29 23:26:44 2020 max relations containing the same ideal: 45
- Tue Sep 29 23:26:54 2020 relations with 0 large ideals: 38898
- Tue Sep 29 23:26:54 2020 relations with 1 large ideals: 68536
- Tue Sep 29 23:26:54 2020 relations with 2 large ideals: 539109
- Tue Sep 29 23:26:54 2020 relations with 3 large ideals: 2041651
- Tue Sep 29 23:26:54 2020 relations with 4 large ideals: 4061483
- Tue Sep 29 23:26:54 2020 relations with 5 large ideals: 4626803
- Tue Sep 29 23:26:54 2020 relations with 6 large ideals: 3194648
- Tue Sep 29 23:26:54 2020 relations with 7+ large ideals: 2025308
- Tue Sep 29 23:26:54 2020 commencing 2-way merge
- Tue Sep 29 23:27:03 2020 reduce to 10475840 relation sets and 9227104 unique ideals
- Tue Sep 29 23:27:03 2020 commencing full merge
- Tue Sep 29 23:29:47 2020 memory use: 1149.7 MB
- Tue Sep 29 23:29:49 2020 found 5290149 cycles, need 5117304
- Tue Sep 29 23:29:51 2020 weight of 5117304 cycles is about 460976091 (90.08/cycle)
- Tue Sep 29 23:29:51 2020 distribution of cycle lengths:
- Tue Sep 29 23:29:51 2020 1 relations: 336219
- Tue Sep 29 23:29:51 2020 2 relations: 398501
- Tue Sep 29 23:29:51 2020 3 relations: 465221
- Tue Sep 29 23:29:51 2020 4 relations: 492923
- Tue Sep 29 23:29:51 2020 5 relations: 506693
- Tue Sep 29 23:29:51 2020 6 relations: 496182
- Tue Sep 29 23:29:51 2020 7 relations: 468629
- Tue Sep 29 23:29:51 2020 8 relations: 420647
- Tue Sep 29 23:29:51 2020 9 relations: 363909
- Tue Sep 29 23:29:51 2020 10+ relations: 1168380
- Tue Sep 29 23:29:51 2020 heaviest cycle: 20 relations
- Tue Sep 29 23:29:54 2020 commencing cycle optimization
- Tue Sep 29 23:30:07 2020 start with 34057910 relations
- Tue Sep 29 23:31:21 2020 pruned 1235849 relations
- Tue Sep 29 23:31:22 2020 memory use: 1022.4 MB
- Tue Sep 29 23:31:22 2020 distribution of cycle lengths:
- Tue Sep 29 23:31:22 2020 1 relations: 336219
- Tue Sep 29 23:31:22 2020 2 relations: 408071
- Tue Sep 29 23:31:22 2020 3 relations: 484070
- Tue Sep 29 23:31:22 2020 4 relations: 513432
- Tue Sep 29 23:31:22 2020 5 relations: 532997
- Tue Sep 29 23:31:22 2020 6 relations: 519774
- Tue Sep 29 23:31:22 2020 7 relations: 491014
- Tue Sep 29 23:31:22 2020 8 relations: 433645
- Tue Sep 29 23:31:22 2020 9 relations: 371001
- Tue Sep 29 23:31:22 2020 10+ relations: 1027081
- Tue Sep 29 23:31:22 2020 heaviest cycle: 20 relations
- Tue Sep 29 23:31:32 2020 RelProcTime: 4116
- Tue Sep 29 23:31:34 2020 elapsed time 01:08:39
- Wed Sep 30 09:11:40 2020
- Wed Sep 30 09:11:40 2020
- Wed Sep 30 09:11:40 2020 Msieve v. 1.54 (SVN 1028)
- Wed Sep 30 09:11:40 2020 random seeds: fbd22f4c 0bbb64d9
- Wed Sep 30 09:11:40 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Wed Sep 30 09:11:42 2020 no P-1/P+1/ECM available, skipping
- Wed Sep 30 09:11:42 2020 commencing number field sieve (227-digit input)
- Wed Sep 30 09:11:42 2020 R0: 1361129467683753853853498429727072845824
- Wed Sep 30 09:11:42 2020 R1: -1
- Wed Sep 30 09:11:42 2020 A0: -1
- Wed Sep 30 09:11:42 2020 A1: 0
- Wed Sep 30 09:11:42 2020 A2: 0
- Wed Sep 30 09:11:42 2020 A3: 0
- Wed Sep 30 09:11:42 2020 A4: 0
- Wed Sep 30 09:11:42 2020 A5: 0
- Wed Sep 30 09:11:42 2020 A6: 20
- Wed Sep 30 09:11:42 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Wed Sep 30 09:11:42 2020
- Wed Sep 30 09:11:42 2020 commencing relation filtering
- Wed Sep 30 09:11:42 2020 setting target matrix density to 100.0
- Wed Sep 30 09:11:42 2020 estimated available RAM is 48133.0 MB
- Wed Sep 30 09:11:42 2020 commencing duplicate removal, pass 1
- Wed Sep 30 09:25:08 2020 error -15 reading relation 86369473
- .....
- Wed Sep 30 09:38:48 2020 error -1 reading relation 173626211
- Wed Sep 30 09:39:13 2020 skipped 128 relations with b > 2^32
- Wed Sep 30 09:39:13 2020 skipped 85 relations with composite factors
- Wed Sep 30 09:39:13 2020 found 6858230 hash collisions in 176252264 relations
- Wed Sep 30 09:39:31 2020 added 1218633 free relations
- Wed Sep 30 09:39:31 2020 commencing duplicate removal, pass 2
- Wed Sep 30 09:40:32 2020 found 0 duplicates and 177470897 unique relations
- Wed Sep 30 09:40:32 2020 memory use: 522.4 MB
- Wed Sep 30 09:40:32 2020 reading ideals above 720000
- Wed Sep 30 09:40:32 2020 commencing singleton removal, initial pass
- Wed Sep 30 10:07:41 2020 memory use: 5512.0 MB
- Wed Sep 30 10:07:41 2020 reading all ideals from disk
- Wed Sep 30 10:07:54 2020 memory use: 6797.6 MB
- Wed Sep 30 10:08:25 2020 keeping 163416804 ideals with weight <= 200, target excess is 1114251
- Wed Sep 30 10:08:56 2020 commencing in-memory singleton removal
- Wed Sep 30 10:09:18 2020 begin with 177470897 relations and 163416804 unique ideals
- Wed Sep 30 10:11:52 2020 reduce to 91133391 relations and 66936562 ideals in 12 passes
- Wed Sep 30 10:11:52 2020 max relations containing the same ideal: 138
- Wed Sep 30 10:12:52 2020 removing 8134798 relations and 6134798 ideals in 2000000 cliques
- Wed Sep 30 10:12:55 2020 commencing in-memory singleton removal
- Wed Sep 30 10:13:05 2020 begin with 82998593 relations and 66936562 unique ideals
- Wed Sep 30 10:14:09 2020 reduce to 82466712 relations and 60255594 ideals in 7 passes
- Wed Sep 30 10:14:09 2020 max relations containing the same ideal: 129
- Wed Sep 30 10:15:02 2020 removing 6584619 relations and 4584619 ideals in 2000000 cliques
- Wed Sep 30 10:15:05 2020 commencing in-memory singleton removal
- Wed Sep 30 10:15:13 2020 begin with 75882093 relations and 60255594 unique ideals
- Wed Sep 30 10:16:10 2020 reduce to 75501894 relations and 55281500 ideals in 7 passes
- Wed Sep 30 10:16:10 2020 max relations containing the same ideal: 119
- Wed Sep 30 10:16:58 2020 removing 6147834 relations and 4147834 ideals in 2000000 cliques
- Wed Sep 30 10:17:01 2020 commencing in-memory singleton removal
- Wed Sep 30 10:17:08 2020 begin with 69354060 relations and 55281500 unique ideals
- Wed Sep 30 10:17:52 2020 reduce to 69015868 relations and 50786997 ideals in 6 passes
- Wed Sep 30 10:17:52 2020 max relations containing the same ideal: 113
- Wed Sep 30 10:18:36 2020 removing 5919378 relations and 3919378 ideals in 2000000 cliques
- Wed Sep 30 10:18:39 2020 commencing in-memory singleton removal
- Wed Sep 30 10:18:45 2020 begin with 63096490 relations and 50786997 unique ideals
- Wed Sep 30 10:19:30 2020 reduce to 62769366 relations and 46531732 ideals in 7 passes
- Wed Sep 30 10:19:30 2020 max relations containing the same ideal: 106
- Wed Sep 30 10:20:10 2020 removing 5776346 relations and 3776346 ideals in 2000000 cliques
- Wed Sep 30 10:20:12 2020 commencing in-memory singleton removal
- Wed Sep 30 10:20:18 2020 begin with 56993020 relations and 46531732 unique ideals
- Wed Sep 30 10:20:53 2020 reduce to 56663323 relations and 42416004 ideals in 6 passes
- Wed Sep 30 10:20:53 2020 max relations containing the same ideal: 98
- Wed Sep 30 10:21:29 2020 removing 5685793 relations and 3685793 ideals in 2000000 cliques
- Wed Sep 30 10:21:32 2020 commencing in-memory singleton removal
- Wed Sep 30 10:21:36 2020 begin with 50977530 relations and 42416004 unique ideals
- Wed Sep 30 10:22:06 2020 reduce to 50634235 relations and 38375973 ideals in 6 passes
- Wed Sep 30 10:22:06 2020 max relations containing the same ideal: 90
- Wed Sep 30 10:22:38 2020 removing 5628580 relations and 3628580 ideals in 2000000 cliques
- Wed Sep 30 10:22:40 2020 commencing in-memory singleton removal
- Wed Sep 30 10:22:45 2020 begin with 45005655 relations and 38375973 unique ideals
- Wed Sep 30 10:23:11 2020 reduce to 44637407 relations and 34366192 ideals in 6 passes
- Wed Sep 30 10:23:11 2020 max relations containing the same ideal: 81
- Wed Sep 30 10:23:39 2020 removing 5594887 relations and 3594887 ideals in 2000000 cliques
- Wed Sep 30 10:23:41 2020 commencing in-memory singleton removal
- Wed Sep 30 10:23:45 2020 begin with 39042520 relations and 34366192 unique ideals
- Wed Sep 30 10:24:07 2020 reduce to 38636790 relations and 30349633 ideals in 6 passes
- Wed Sep 30 10:24:07 2020 max relations containing the same ideal: 76
- Wed Sep 30 10:24:31 2020 removing 5587802 relations and 3587802 ideals in 2000000 cliques
- Wed Sep 30 10:24:34 2020 commencing in-memory singleton removal
- Wed Sep 30 10:24:36 2020 begin with 33048988 relations and 30349633 unique ideals
- Wed Sep 30 10:25:00 2020 reduce to 32587667 relations and 26279991 ideals in 8 passes
- Wed Sep 30 10:25:00 2020 max relations containing the same ideal: 69
- Wed Sep 30 10:25:21 2020 removing 5606747 relations and 3606747 ideals in 2000000 cliques
- Wed Sep 30 10:25:23 2020 commencing in-memory singleton removal
- Wed Sep 30 10:25:26 2020 begin with 26980920 relations and 26279991 unique ideals
- Wed Sep 30 10:25:42 2020 reduce to 26433757 relations and 22097856 ideals in 7 passes
- Wed Sep 30 10:25:42 2020 max relations containing the same ideal: 60
- Wed Sep 30 10:25:59 2020 removing 5643668 relations and 3643668 ideals in 2000000 cliques
- Wed Sep 30 10:26:01 2020 commencing in-memory singleton removal
- Wed Sep 30 10:26:03 2020 begin with 20790089 relations and 22097856 unique ideals
- Wed Sep 30 10:26:16 2020 reduce to 20105071 relations and 17725718 ideals in 8 passes
- Wed Sep 30 10:26:16 2020 max relations containing the same ideal: 49
- Wed Sep 30 10:26:29 2020 removing 3414444 relations and 2327623 ideals in 1086821 cliques
- Wed Sep 30 10:26:31 2020 commencing in-memory singleton removal
- Wed Sep 30 10:26:32 2020 begin with 16690627 relations and 17725718 unique ideals
- Wed Sep 30 10:26:43 2020 reduce to 16295379 relations and 14983757 ideals in 8 passes
- Wed Sep 30 10:26:43 2020 max relations containing the same ideal: 43
- Wed Sep 30 10:26:53 2020 removing 112567 relations and 93477 ideals in 19090 cliques
- Wed Sep 30 10:26:54 2020 commencing in-memory singleton removal
- Wed Sep 30 10:26:55 2020 begin with 16182812 relations and 14983757 unique ideals
- Wed Sep 30 10:27:00 2020 reduce to 16182141 relations and 14889608 ideals in 4 passes
- Wed Sep 30 10:27:00 2020 max relations containing the same ideal: 43
- Wed Sep 30 10:27:03 2020 relations with 0 large ideals: 40816
- Wed Sep 30 10:27:03 2020 relations with 1 large ideals: 79172
- Wed Sep 30 10:27:03 2020 relations with 2 large ideals: 598399
- Wed Sep 30 10:27:03 2020 relations with 3 large ideals: 2167701
- Wed Sep 30 10:27:03 2020 relations with 4 large ideals: 4108804
- Wed Sep 30 10:27:03 2020 relations with 5 large ideals: 4458242
- Wed Sep 30 10:27:03 2020 relations with 6 large ideals: 2937856
- Wed Sep 30 10:27:03 2020 relations with 7+ large ideals: 1791151
- Wed Sep 30 10:27:03 2020 commencing 2-way merge
- Wed Sep 30 10:27:14 2020 reduce to 10329511 relation sets and 9036978 unique ideals
- Wed Sep 30 10:27:14 2020 commencing full merge
- Wed Sep 30 10:31:03 2020 memory use: 1129.4 MB
- Wed Sep 30 10:31:04 2020 found 5043678 cycles, need 4875178
- Wed Sep 30 10:31:06 2020 weight of 4875178 cycles is about 488040680 (100.11/cycle)
- Wed Sep 30 10:31:07 2020 distribution of cycle lengths:
- Wed Sep 30 10:31:07 2020 1 relations: 256918
- Wed Sep 30 10:31:07 2020 2 relations: 319972
- Wed Sep 30 10:31:07 2020 3 relations: 387953
- Wed Sep 30 10:31:07 2020 4 relations: 421506
- Wed Sep 30 10:31:07 2020 5 relations: 445892
- Wed Sep 30 10:31:07 2020 6 relations: 445455
- Wed Sep 30 10:31:07 2020 7 relations: 429328
- Wed Sep 30 10:31:07 2020 8 relations: 397158
- Wed Sep 30 10:31:07 2020 9 relations: 354140
- Wed Sep 30 10:31:07 2020 10+ relations: 1416856
- Wed Sep 30 10:31:07 2020 heaviest cycle: 22 relations
- Wed Sep 30 10:31:08 2020 commencing cycle optimization
- Wed Sep 30 10:31:19 2020 start with 35927063 relations
- Wed Sep 30 10:32:40 2020 pruned 1502420 relations
- Wed Sep 30 10:32:40 2020 memory use: 1025.7 MB
- Wed Sep 30 10:32:40 2020 distribution of cycle lengths:
- Wed Sep 30 10:32:40 2020 1 relations: 256918
- Wed Sep 30 10:32:40 2020 2 relations: 328120
- Wed Sep 30 10:32:40 2020 3 relations: 404955
- Wed Sep 30 10:32:40 2020 4 relations: 440508
- Wed Sep 30 10:32:40 2020 5 relations: 471465
- Wed Sep 30 10:32:40 2020 6 relations: 470275
- Wed Sep 30 10:32:40 2020 7 relations: 454296
- Wed Sep 30 10:32:40 2020 8 relations: 415781
- Wed Sep 30 10:32:40 2020 9 relations: 367166
- Wed Sep 30 10:32:40 2020 10+ relations: 1265694
- Wed Sep 30 10:32:40 2020 heaviest cycle: 22 relations
- Wed Sep 30 10:32:54 2020 RelProcTime: 4872
- Wed Sep 30 10:32:54 2020 elapsed time 01:21:14
- Wed Sep 30 17:54:18 2020
- Wed Sep 30 17:54:18 2020
- Wed Sep 30 17:54:18 2020 Msieve v. 1.54 (SVN 1028)
- Wed Sep 30 17:54:18 2020 random seeds: 4c66095f 73edc08d
- Wed Sep 30 17:54:18 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Wed Sep 30 17:54:19 2020 no P-1/P+1/ECM available, skipping
- Wed Sep 30 17:54:19 2020 commencing number field sieve (227-digit input)
- Wed Sep 30 17:54:19 2020 R0: 1361129467683753853853498429727072845824
- Wed Sep 30 17:54:19 2020 R1: -1
- Wed Sep 30 17:54:19 2020 A0: -1
- Wed Sep 30 17:54:19 2020 A1: 0
- Wed Sep 30 17:54:19 2020 A2: 0
- Wed Sep 30 17:54:19 2020 A3: 0
- Wed Sep 30 17:54:19 2020 A4: 0
- Wed Sep 30 17:54:19 2020 A5: 0
- Wed Sep 30 17:54:19 2020 A6: 20
- Wed Sep 30 17:54:19 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Wed Sep 30 17:54:19 2020
- Wed Sep 30 17:54:19 2020 commencing relation filtering
- Wed Sep 30 17:54:19 2020 setting target matrix density to 104.0
- Wed Sep 30 17:54:19 2020 estimated available RAM is 48133.0 MB
- Wed Sep 30 17:54:19 2020 commencing duplicate removal, pass 1
- Wed Sep 30 18:06:57 2020 error -15 reading relation 86369473
- .....
- Wed Sep 30 18:19:41 2020 error -1 reading relation 173626211
- Wed Sep 30 18:20:25 2020 skipped 130 relations with b > 2^32
- Wed Sep 30 18:20:25 2020 skipped 85 relations with composite factors
- Wed Sep 30 18:20:25 2020 found 7054050 hash collisions in 178815746 relations
- Wed Sep 30 18:20:43 2020 added 1218633 free relations
- Wed Sep 30 18:20:43 2020 commencing duplicate removal, pass 2
- Wed Sep 30 18:21:30 2020 found 0 duplicates and 180034379 unique relations
- Wed Sep 30 18:21:30 2020 memory use: 522.4 MB
- Wed Sep 30 18:21:30 2020 reading ideals above 720000
- Wed Sep 30 18:21:30 2020 commencing singleton removal, initial pass
- Wed Sep 30 18:45:17 2020 memory use: 5512.0 MB
- Wed Sep 30 18:45:18 2020 reading all ideals from disk
- Wed Sep 30 18:45:30 2020 memory use: 6896.6 MB
- Wed Sep 30 18:45:52 2020 keeping 164505833 ideals with weight <= 200, target excess is 1136123
- Wed Sep 30 18:46:16 2020 commencing in-memory singleton removal
- Wed Sep 30 18:46:33 2020 begin with 180034379 relations and 164505833 unique ideals
- Wed Sep 30 18:48:20 2020 reduce to 93674790 relations and 68170851 ideals in 11 passes
- Wed Sep 30 18:48:20 2020 max relations containing the same ideal: 138
- Wed Sep 30 18:49:06 2020 removing 8038289 relations and 6038289 ideals in 2000000 cliques
- Wed Sep 30 18:49:09 2020 commencing in-memory singleton removal
- Wed Sep 30 18:49:17 2020 begin with 85636501 relations and 68170851 unique ideals
- Wed Sep 30 18:50:18 2020 reduce to 85131888 relations and 61614779 ideals in 8 passes
- Wed Sep 30 18:50:18 2020 max relations containing the same ideal: 130
- Wed Sep 30 18:51:00 2020 removing 6515357 relations and 4515357 ideals in 2000000 cliques
- Wed Sep 30 18:51:03 2020 commencing in-memory singleton removal
- Wed Sep 30 18:51:10 2020 begin with 78616531 relations and 61614779 unique ideals
- Wed Sep 30 18:51:51 2020 reduce to 78256315 relations and 56730714 ideals in 6 passes
- Wed Sep 30 18:51:51 2020 max relations containing the same ideal: 122
- Wed Sep 30 18:52:29 2020 removing 6088428 relations and 4088428 ideals in 2000000 cliques
- Wed Sep 30 18:52:32 2020 commencing in-memory singleton removal
- Wed Sep 30 18:52:38 2020 begin with 72167887 relations and 56730714 unique ideals
- Wed Sep 30 18:53:22 2020 reduce to 71848061 relations and 52314693 ideals in 7 passes
- Wed Sep 30 18:53:22 2020 max relations containing the same ideal: 114
- Wed Sep 30 18:53:57 2020 removing 5861069 relations and 3861069 ideals in 2000000 cliques
- Wed Sep 30 18:53:59 2020 commencing in-memory singleton removal
- Wed Sep 30 18:54:05 2020 begin with 65986992 relations and 52314693 unique ideals
- Wed Sep 30 18:54:39 2020 reduce to 65680734 relations and 48139505 ideals in 6 passes
- Wed Sep 30 18:54:39 2020 max relations containing the same ideal: 107
- Wed Sep 30 18:55:10 2020 removing 5719575 relations and 3719575 ideals in 2000000 cliques
- Wed Sep 30 18:55:13 2020 commencing in-memory singleton removal
- Wed Sep 30 18:55:18 2020 begin with 59961159 relations and 48139505 unique ideals
- Wed Sep 30 18:55:48 2020 reduce to 59653025 relations and 44103150 ideals in 6 passes
- Wed Sep 30 18:55:48 2020 max relations containing the same ideal: 103
- Wed Sep 30 18:56:17 2020 removing 5625541 relations and 3625541 ideals in 2000000 cliques
- Wed Sep 30 18:56:19 2020 commencing in-memory singleton removal
- Wed Sep 30 18:56:24 2020 begin with 54027484 relations and 44103150 unique ideals
- Wed Sep 30 18:56:51 2020 reduce to 53711268 relations and 40151676 ideals in 6 passes
- Wed Sep 30 18:56:51 2020 max relations containing the same ideal: 93
- Wed Sep 30 18:57:17 2020 removing 5564656 relations and 3564656 ideals in 2000000 cliques
- Wed Sep 30 18:57:19 2020 commencing in-memory singleton removal
- Wed Sep 30 18:57:23 2020 begin with 48146612 relations and 40151676 unique ideals
- Wed Sep 30 18:57:46 2020 reduce to 47811111 relations and 36240238 ideals in 6 passes
- Wed Sep 30 18:57:46 2020 max relations containing the same ideal: 85
- Wed Sep 30 18:58:10 2020 removing 5528745 relations and 3528745 ideals in 2000000 cliques
- Wed Sep 30 18:58:11 2020 commencing in-memory singleton removal
- Wed Sep 30 18:58:15 2020 begin with 42282366 relations and 36240238 unique ideals
- Wed Sep 30 18:58:35 2020 reduce to 41917380 relations and 32333188 ideals in 6 passes
- Wed Sep 30 18:58:35 2020 max relations containing the same ideal: 80
- Wed Sep 30 18:58:55 2020 removing 5512715 relations and 3512715 ideals in 2000000 cliques
- Wed Sep 30 18:58:57 2020 commencing in-memory singleton removal
- Wed Sep 30 18:59:00 2020 begin with 36404665 relations and 32333188 unique ideals
- Wed Sep 30 18:59:22 2020 reduce to 35995466 relations and 28394326 ideals in 8 passes
- Wed Sep 30 18:59:22 2020 max relations containing the same ideal: 72
- Wed Sep 30 18:59:40 2020 removing 5520156 relations and 3520156 ideals in 2000000 cliques
- Wed Sep 30 18:59:41 2020 commencing in-memory singleton removal
- Wed Sep 30 18:59:44 2020 begin with 30475310 relations and 28394326 unique ideals
- Wed Sep 30 18:59:59 2020 reduce to 30000793 relations and 24377451 ideals in 7 passes
- Wed Sep 30 18:59:59 2020 max relations containing the same ideal: 65
- Wed Sep 30 19:00:14 2020 removing 5549327 relations and 3549328 ideals in 2000000 cliques
- Wed Sep 30 19:00:15 2020 commencing in-memory singleton removal
- Wed Sep 30 19:00:17 2020 begin with 24451466 relations and 24377451 unique ideals
- Wed Sep 30 19:00:31 2020 reduce to 23878169 relations and 20222989 ideals in 8 passes
- Wed Sep 30 19:00:31 2020 max relations containing the same ideal: 54
- Wed Sep 30 19:00:42 2020 removing 5595538 relations and 3595538 ideals in 2000000 cliques
- Wed Sep 30 19:00:44 2020 commencing in-memory singleton removal
- Wed Sep 30 19:00:45 2020 begin with 18282631 relations and 20222989 unique ideals
- Wed Sep 30 19:00:54 2020 reduce to 17545998 relations and 15839154 ideals in 8 passes
- Wed Sep 30 19:00:54 2020 max relations containing the same ideal: 44
- Wed Sep 30 19:01:03 2020 removing 1453138 relations and 1064197 ideals in 388941 cliques
- Wed Sep 30 19:01:04 2020 commencing in-memory singleton removal
- Wed Sep 30 19:01:05 2020 begin with 16092860 relations and 15839154 unique ideals
- Wed Sep 30 19:01:12 2020 reduce to 15986898 relations and 14666653 ideals in 7 passes
- Wed Sep 30 19:01:12 2020 max relations containing the same ideal: 42
- Wed Sep 30 19:01:21 2020 relations with 0 large ideals: 41917
- Wed Sep 30 19:01:21 2020 relations with 1 large ideals: 84749
- Wed Sep 30 19:01:21 2020 relations with 2 large ideals: 630062
- Wed Sep 30 19:01:21 2020 relations with 3 large ideals: 2230453
- Wed Sep 30 19:01:21 2020 relations with 4 large ideals: 4130831
- Wed Sep 30 19:01:21 2020 relations with 5 large ideals: 4379569
- Wed Sep 30 19:01:21 2020 relations with 6 large ideals: 2819443
- Wed Sep 30 19:01:21 2020 relations with 7+ large ideals: 1669874
- Wed Sep 30 19:01:21 2020 commencing 2-way merge
- Wed Sep 30 19:01:30 2020 reduce to 10234638 relation sets and 8914393 unique ideals
- Wed Sep 30 19:01:30 2020 commencing full merge
- Wed Sep 30 19:04:08 2020 memory use: 1116.3 MB
- Wed Sep 30 19:04:09 2020 found 4946132 cycles, need 4774593
- Wed Sep 30 19:04:11 2020 weight of 4774593 cycles is about 496587341 (104.01/cycle)
- Wed Sep 30 19:04:11 2020 distribution of cycle lengths:
- Wed Sep 30 19:04:11 2020 1 relations: 230756
- Wed Sep 30 19:04:11 2020 2 relations: 291698
- Wed Sep 30 19:04:11 2020 3 relations: 360923
- Wed Sep 30 19:04:11 2020 4 relations: 393490
- Wed Sep 30 19:04:11 2020 5 relations: 419645
- Wed Sep 30 19:04:11 2020 6 relations: 423491
- Wed Sep 30 19:04:11 2020 7 relations: 412063
- Wed Sep 30 19:04:11 2020 8 relations: 387493
- Wed Sep 30 19:04:11 2020 9 relations: 352019
- Wed Sep 30 19:04:11 2020 10+ relations: 1503015
- Wed Sep 30 19:04:11 2020 heaviest cycle: 23 relations
- Wed Sep 30 19:04:12 2020 commencing cycle optimization
- Wed Sep 30 19:04:20 2020 start with 36487311 relations
- Wed Sep 30 19:05:21 2020 pruned 1586173 relations
- Wed Sep 30 19:05:21 2020 memory use: 1023.2 MB
- Wed Sep 30 19:05:21 2020 distribution of cycle lengths:
- Wed Sep 30 19:05:21 2020 1 relations: 230756
- Wed Sep 30 19:05:21 2020 2 relations: 299357
- Wed Sep 30 19:05:21 2020 3 relations: 376858
- Wed Sep 30 19:05:21 2020 4 relations: 411756
- Wed Sep 30 19:05:21 2020 5 relations: 444738
- Wed Sep 30 19:05:21 2020 6 relations: 448084
- Wed Sep 30 19:05:21 2020 7 relations: 437319
- Wed Sep 30 19:05:21 2020 8 relations: 407543
- Wed Sep 30 19:05:21 2020 9 relations: 367588
- Wed Sep 30 19:05:21 2020 10+ relations: 1350594
- Wed Sep 30 19:05:21 2020 heaviest cycle: 22 relations
- Wed Sep 30 19:05:30 2020 RelProcTime: 4271
- Wed Sep 30 19:05:30 2020 elapsed time 01:11:12
- Wed Sep 30 19:18:05 2020
- Wed Sep 30 19:18:05 2020
- Wed Sep 30 19:18:05 2020 Msieve v. 1.54 (SVN 1028)
- Wed Sep 30 19:18:05 2020 random seeds: 9b15e2af 00bd60ad
- Wed Sep 30 19:18:05 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Wed Sep 30 19:18:06 2020 no P-1/P+1/ECM available, skipping
- Wed Sep 30 19:18:06 2020 commencing number field sieve (227-digit input)
- Wed Sep 30 19:18:06 2020 R0: 1361129467683753853853498429727072845824
- Wed Sep 30 19:18:06 2020 R1: -1
- Wed Sep 30 19:18:06 2020 A0: -1
- Wed Sep 30 19:18:06 2020 A1: 0
- Wed Sep 30 19:18:06 2020 A2: 0
- Wed Sep 30 19:18:06 2020 A3: 0
- Wed Sep 30 19:18:06 2020 A4: 0
- Wed Sep 30 19:18:06 2020 A5: 0
- Wed Sep 30 19:18:06 2020 A6: 20
- Wed Sep 30 19:18:06 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Wed Sep 30 19:18:06 2020
- Wed Sep 30 19:18:06 2020 commencing linear algebra
- Wed Sep 30 19:18:06 2020 error: cannot open matrix file
- Wed Sep 30 19:18:12 2020
- Wed Sep 30 19:18:12 2020
- Wed Sep 30 19:18:12 2020 Msieve v. 1.54 (SVN 1028)
- Wed Sep 30 19:18:12 2020 random seeds: d78c4aa7 d11584fe
- Wed Sep 30 19:18:12 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Wed Sep 30 19:18:13 2020 no P-1/P+1/ECM available, skipping
- Wed Sep 30 19:18:13 2020 commencing number field sieve (227-digit input)
- Wed Sep 30 19:18:13 2020 R0: 1361129467683753853853498429727072845824
- Wed Sep 30 19:18:13 2020 R1: -1
- Wed Sep 30 19:18:13 2020 A0: -1
- Wed Sep 30 19:18:13 2020 A1: 0
- Wed Sep 30 19:18:13 2020 A2: 0
- Wed Sep 30 19:18:13 2020 A3: 0
- Wed Sep 30 19:18:13 2020 A4: 0
- Wed Sep 30 19:18:13 2020 A5: 0
- Wed Sep 30 19:18:13 2020 A6: 20
- Wed Sep 30 19:18:13 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Wed Sep 30 19:18:13 2020
- Wed Sep 30 19:18:13 2020 commencing linear algebra
- Wed Sep 30 19:18:14 2020 read 4774593 cycles
- Wed Sep 30 19:18:23 2020 cycles contain 15347935 unique relations
- Wed Sep 30 19:20:00 2020 read 15347935 relations
- Wed Sep 30 19:20:22 2020 using 20 quadratic characters above 4294917295
- Wed Sep 30 19:21:38 2020 building initial matrix
- Wed Sep 30 19:24:20 2020 memory use: 1911.6 MB
- Wed Sep 30 19:24:22 2020 read 4774593 cycles
- Wed Sep 30 19:24:23 2020 matrix is 4774411 x 4774593 (1978.0 MB) with weight 572819934 (119.97/col)
- Wed Sep 30 19:24:23 2020 sparse part has weight 466002815 (97.60/col)
- Wed Sep 30 19:25:19 2020 filtering completed in 2 passes
- Wed Sep 30 19:25:20 2020 matrix is 4773688 x 4773869 (1977.9 MB) with weight 572785578 (119.98/col)
- Wed Sep 30 19:25:20 2020 sparse part has weight 465984436 (97.61/col)
- Wed Sep 30 19:25:38 2020 matrix starts at (0, 0)
- Wed Sep 30 19:25:39 2020 matrix is 4773688 x 4773869 (1977.9 MB) with weight 572785578 (119.98/col)
- Wed Sep 30 19:25:39 2020 sparse part has weight 465984436 (97.61/col)
- Wed Sep 30 19:25:39 2020 saving the first 112 matrix rows for later
- Wed Sep 30 19:25:40 2020 matrix includes 128 packed rows
- Wed Sep 30 19:25:41 2020 matrix is 4773576 x 4773869 (1843.1 MB) with weight 449759949 (94.21/col)
- Wed Sep 30 19:25:41 2020 sparse part has weight 425876349 (89.21/col)
- Wed Sep 30 19:25:41 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
- Wed Sep 30 19:25:54 2020 commencing Lanczos iteration (12 threads)
- Wed Sep 30 19:25:54 2020 memory use: 2063.4 MB
- Wed Sep 30 19:26:03 2020 linear algebra at 0.0%, ETA 6h57m
- Wed Sep 30 19:26:06 2020 checkpointing every 670000 dimensions
- Wed Sep 30 19:58:01 2020 lanczos halted after 2780 iterations (dim = 353748)
- Wed Sep 30 19:58:01 2020 BLanczosTime: 2388
- Wed Sep 30 19:58:01 2020
- Wed Sep 30 19:58:01 2020 commencing square root phase
- Wed Sep 30 19:58:01 2020 reading relations for dependency 1
- Wed Sep 30 19:58:01 2020 error: read_cycles can't open dependency file
- Wed Sep 30 19:58:11 2020
- Wed Sep 30 19:58:11 2020
- Wed Sep 30 19:58:11 2020 Msieve v. 1.54 (SVN 1028)
- Wed Sep 30 19:58:11 2020 random seeds: 25a380cb 67619b45
- Wed Sep 30 19:58:11 2020 factoring 74672565937734849184549317893144798774103084875897937938305774051716011233953050940576863926650464924879249366877321888900487290584727475906915294417487936156017751807937443332383635777529100936547703467595965038711879813929551 (227 digits)
- Wed Sep 30 19:58:13 2020 no P-1/P+1/ECM available, skipping
- Wed Sep 30 19:58:13 2020 commencing number field sieve (227-digit input)
- Wed Sep 30 19:58:13 2020 R0: 1361129467683753853853498429727072845824
- Wed Sep 30 19:58:13 2020 R1: -1
- Wed Sep 30 19:58:13 2020 A0: -1
- Wed Sep 30 19:58:13 2020 A1: 0
- Wed Sep 30 19:58:13 2020 A2: 0
- Wed Sep 30 19:58:13 2020 A3: 0
- Wed Sep 30 19:58:13 2020 A4: 0
- Wed Sep 30 19:58:13 2020 A5: 0
- Wed Sep 30 19:58:13 2020 A6: 20
- Wed Sep 30 19:58:13 2020 skew 0.62, size 1.189e-11, alpha 1.367, combined = 7.212e-13 rroots = 2
- Wed Sep 30 19:58:13 2020
- Wed Sep 30 19:58:13 2020 commencing linear algebra
- Wed Sep 30 19:58:14 2020 matrix starts at (0, 0)
- Wed Sep 30 19:58:15 2020 matrix is 4773688 x 4773869 (1977.9 MB) with weight 572785578 (119.98/col)
- Wed Sep 30 19:58:15 2020 sparse part has weight 465984436 (97.61/col)
- Wed Sep 30 19:58:15 2020 saving the first 112 matrix rows for later
- Wed Sep 30 19:58:16 2020 matrix includes 128 packed rows
- Wed Sep 30 19:58:17 2020 matrix is 4773576 x 4773869 (1843.1 MB) with weight 449759949 (94.21/col)
- Wed Sep 30 19:58:17 2020 sparse part has weight 425876349 (89.21/col)
- Wed Sep 30 19:58:17 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
- Wed Sep 30 19:58:29 2020 commencing Lanczos iteration (10 threads)
- Wed Sep 30 19:58:29 2020 memory use: 2063.4 MB
- Wed Sep 30 19:58:30 2020 restarting at iteration 2780 (dim = 353748)
- Wed Sep 30 19:58:36 2020 linear algebra at 7.4%, ETA 4h48m
- Wed Sep 30 19:58:40 2020 checkpointing every 830000 dimensions
- Thu Oct 1 01:26:28 2020 lanczos halted after 37519 iterations (dim = 4773576)
- Thu Oct 1 01:26:36 2020 recovered 40 nontrivial dependencies
- Thu Oct 1 01:26:37 2020 BLanczosTime: 19704
- Thu Oct 1 01:26:37 2020
- Thu Oct 1 01:26:37 2020 commencing square root phase
- Thu Oct 1 01:26:37 2020 reading relations for dependency 1
- Thu Oct 1 01:26:37 2020 read 2386294 cycles
- Thu Oct 1 01:26:41 2020 cycles contain 7673120 unique relations
- Thu Oct 1 01:27:39 2020 read 7673120 relations
- Thu Oct 1 01:28:12 2020 multiplying 7673120 relations
- Thu Oct 1 01:32:57 2020 multiply complete, coefficients have about 222.29 million bits
- Thu Oct 1 01:32:58 2020 initial square root is modulo 94959877
- Thu Oct 1 01:38:27 2020 GCD is N, no factor found
- Thu Oct 1 01:38:27 2020 reading relations for dependency 2
- Thu Oct 1 01:38:27 2020 read 2387106 cycles
- Thu Oct 1 01:38:31 2020 cycles contain 7673260 unique relations
- Thu Oct 1 01:39:27 2020 read 7673260 relations
- Thu Oct 1 01:40:00 2020 multiplying 7673260 relations
- Thu Oct 1 01:44:47 2020 multiply complete, coefficients have about 222.30 million bits
- Thu Oct 1 01:44:47 2020 initial square root is modulo 95037883
- Thu Oct 1 01:50:16 2020 sqrtTime: 1419
- Thu Oct 1 01:50:16 2020 p53 factor: 37854558203120151564768330817860451683134767970605069
- Thu Oct 1 01:50:16 2020 p175 factor: 1972617552080689279917029408762129141343119004536169039707125591436188593558895151075194741044381811999314102965671213861315012139642069228106507630521233491529321499834443979
- Thu Oct 1 01:50:16 2020 elapsed time 05:52:05
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