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- Mon Oct 26 07:00:40 2020
- Mon Oct 26 07:00:40 2020
- Mon Oct 26 07:00:40 2020 Msieve v. 1.53 (SVN 988M)
- Mon Oct 26 07:00:40 2020 random seeds: 20673806 0da619c1
- Mon Oct 26 07:00:40 2020 factoring 66233969147453750625367603044256308980536625358487437153783129274719336819453531251813725706437120035674406355022511399676621127472108936666904604953466856862714179040409852970893200133245440866242825720057603241 (212 digits)
- Mon Oct 26 07:00:41 2020 searching for 15-digit factors
- Mon Oct 26 07:00:43 2020 commencing number field sieve (212-digit input)
- Mon Oct 26 07:00:43 2020 R0: 10339757656912845935892608650874535669572651386260986328125
- Mon Oct 26 07:00:43 2020 R1: -9671406556917033397649408
- Mon Oct 26 07:00:43 2020 A0: 1
- Mon Oct 26 07:00:43 2020 A1: 1
- Mon Oct 26 07:00:43 2020 A2: 1
- Mon Oct 26 07:00:43 2020 A3: 1
- Mon Oct 26 07:00:43 2020 A4: 1
- Mon Oct 26 07:00:43 2020 skew 1.00, size 1.274e-23, alpha 1.694, combined = 4.466e-14 rroots = 0
- Mon Oct 26 07:00:43 2020
- Mon Oct 26 07:00:43 2020 commencing relation filtering
- Mon Oct 26 07:00:43 2020 setting target matrix density to 120.0
- Mon Oct 26 07:00:43 2020 estimated available RAM is 32768.0 MB
- Mon Oct 26 07:00:43 2020 commencing duplicate removal, pass 1
- Mon Oct 26 07:01:03 2020 error -11 reading relation 3041710
- Mon Oct 26 07:10:29 2020 error -15 reading relation 92484420
- Mon Oct 26 07:16:47 2020 error -11 reading relation 155305884
- Mon Oct 26 07:21:16 2020 skipped 4576 relations with b > 2^32
- Mon Oct 26 07:21:16 2020 found 8772569 hash collisions in 200104075 relations
- Mon Oct 26 07:21:21 2020 added 3657741 free relations
- Mon Oct 26 07:21:21 2020 commencing duplicate removal, pass 2
- Mon Oct 26 07:29:54 2020 found 0 duplicates and 203761816 unique relations
- Mon Oct 26 07:29:54 2020 memory use: 522.4 MB
- Mon Oct 26 07:29:54 2020 reading ideals above 184877056
- Mon Oct 26 07:29:54 2020 commencing singleton removal, initial pass
- Mon Oct 26 07:44:32 2020 memory use: 3012.0 MB
- Mon Oct 26 07:44:32 2020 reading all ideals from disk
- Mon Oct 26 07:45:56 2020 memory use: 3555.7 MB
- Mon Oct 26 07:46:03 2020 commencing in-memory singleton removal
- Mon Oct 26 07:46:10 2020 begin with 203761816 relations and 157313982 unique ideals
- Mon Oct 26 07:47:29 2020 reduce to 145388417 relations and 93900383 ideals in 12 passes
- Mon Oct 26 07:47:29 2020 max relations containing the same ideal: 48
- Mon Oct 26 07:47:46 2020 reading ideals above 720000
- Mon Oct 26 07:47:47 2020 commencing singleton removal, initial pass
- Mon Oct 26 08:02:03 2020 memory use: 3012.0 MB
- Mon Oct 26 08:02:04 2020 reading all ideals from disk
- Mon Oct 26 08:04:24 2020 memory use: 5937.9 MB
- Mon Oct 26 08:04:36 2020 keeping 113715108 ideals with weight <= 200, target excess is 757875
- Mon Oct 26 08:04:50 2020 commencing in-memory singleton removal
- Mon Oct 26 08:05:01 2020 begin with 145388417 relations and 113715108 unique ideals
- Mon Oct 26 08:06:20 2020 reduce to 145379836 relations and 113706493 ideals in 7 passes
- Mon Oct 26 08:06:20 2020 max relations containing the same ideal: 200
- Mon Oct 26 08:07:14 2020 removing 9778509 relations and 7778509 ideals in 2000000 cliques
- Mon Oct 26 08:07:17 2020 commencing in-memory singleton removal
- Mon Oct 26 08:07:26 2020 begin with 135601327 relations and 113706493 unique ideals
- Mon Oct 26 08:08:40 2020 reduce to 135087437 relations and 105404893 ideals in 7 passes
- Mon Oct 26 08:08:40 2020 max relations containing the same ideal: 198
- Mon Oct 26 08:09:30 2020 removing 7532959 relations and 5532959 ideals in 2000000 cliques
- Mon Oct 26 08:09:33 2020 commencing in-memory singleton removal
- Mon Oct 26 08:09:41 2020 begin with 127554478 relations and 105404893 unique ideals
- Mon Oct 26 08:10:51 2020 reduce to 127208491 relations and 99520588 ideals in 7 passes
- Mon Oct 26 08:10:51 2020 max relations containing the same ideal: 191
- Mon Oct 26 08:11:37 2020 removing 6873053 relations and 4873053 ideals in 2000000 cliques
- Mon Oct 26 08:11:40 2020 commencing in-memory singleton removal
- Mon Oct 26 08:11:48 2020 begin with 120335438 relations and 99520588 unique ideals
- Mon Oct 26 08:12:54 2020 reduce to 120034001 relations and 94341439 ideals in 7 passes
- Mon Oct 26 08:12:54 2020 max relations containing the same ideal: 186
- Mon Oct 26 08:13:37 2020 removing 6533749 relations and 4533749 ideals in 2000000 cliques
- Mon Oct 26 08:13:40 2020 commencing in-memory singleton removal
- Mon Oct 26 08:13:48 2020 begin with 113500252 relations and 94341439 unique ideals
- Mon Oct 26 08:14:41 2020 reduce to 113217768 relations and 89520809 ideals in 6 passes
- Mon Oct 26 08:14:41 2020 max relations containing the same ideal: 182
- Mon Oct 26 08:15:23 2020 removing 6327327 relations and 4327327 ideals in 2000000 cliques
- Mon Oct 26 08:15:25 2020 commencing in-memory singleton removal
- Mon Oct 26 08:15:33 2020 begin with 106890441 relations and 89520809 unique ideals
- Mon Oct 26 08:16:22 2020 reduce to 106615731 relations and 84914376 ideals in 6 passes
- Mon Oct 26 08:16:22 2020 max relations containing the same ideal: 178
- Mon Oct 26 08:17:02 2020 removing 6192212 relations and 4192212 ideals in 2000000 cliques
- Mon Oct 26 08:17:04 2020 commencing in-memory singleton removal
- Mon Oct 26 08:17:11 2020 begin with 100423519 relations and 84914376 unique ideals
- Mon Oct 26 08:17:57 2020 reduce to 100149967 relations and 80444041 ideals in 6 passes
- Mon Oct 26 08:17:57 2020 max relations containing the same ideal: 172
- Mon Oct 26 08:18:34 2020 removing 6097509 relations and 4097509 ideals in 2000000 cliques
- Mon Oct 26 08:18:36 2020 commencing in-memory singleton removal
- Mon Oct 26 08:18:43 2020 begin with 94052458 relations and 80444041 unique ideals
- Mon Oct 26 08:19:32 2020 reduce to 93775408 relations and 76064488 ideals in 7 passes
- Mon Oct 26 08:19:32 2020 max relations containing the same ideal: 163
- Mon Oct 26 08:20:08 2020 removing 6034770 relations and 4034770 ideals in 2000000 cliques
- Mon Oct 26 08:20:10 2020 commencing in-memory singleton removal
- Mon Oct 26 08:20:16 2020 begin with 87740638 relations and 76064488 unique ideals
- Mon Oct 26 08:20:56 2020 reduce to 87454221 relations and 71737826 ideals in 6 passes
- Mon Oct 26 08:20:56 2020 max relations containing the same ideal: 156
- Mon Oct 26 08:21:28 2020 removing 6000017 relations and 4000017 ideals in 2000000 cliques
- Mon Oct 26 08:21:30 2020 commencing in-memory singleton removal
- Mon Oct 26 08:21:36 2020 begin with 81454204 relations and 71737826 unique ideals
- Mon Oct 26 08:22:12 2020 reduce to 81153762 relations and 67431179 ideals in 6 passes
- Mon Oct 26 08:22:12 2020 max relations containing the same ideal: 149
- Mon Oct 26 08:22:43 2020 removing 5987966 relations and 3987966 ideals in 2000000 cliques
- Mon Oct 26 08:22:45 2020 commencing in-memory singleton removal
- Mon Oct 26 08:22:50 2020 begin with 75165796 relations and 67431179 unique ideals
- Mon Oct 26 08:23:23 2020 reduce to 74843984 relations and 63114399 ideals in 6 passes
- Mon Oct 26 08:23:23 2020 max relations containing the same ideal: 142
- Mon Oct 26 08:23:51 2020 removing 5997104 relations and 3997104 ideals in 2000000 cliques
- Mon Oct 26 08:23:53 2020 commencing in-memory singleton removal
- Mon Oct 26 08:23:57 2020 begin with 68846880 relations and 63114399 unique ideals
- Mon Oct 26 08:24:33 2020 reduce to 68500177 relations and 58762486 ideals in 7 passes
- Mon Oct 26 08:24:33 2020 max relations containing the same ideal: 132
- Mon Oct 26 08:24:59 2020 removing 6023757 relations and 4023757 ideals in 2000000 cliques
- Mon Oct 26 08:25:01 2020 commencing in-memory singleton removal
- Mon Oct 26 08:25:05 2020 begin with 62476420 relations and 58762486 unique ideals
- Mon Oct 26 08:25:37 2020 reduce to 62093849 relations and 54346545 ideals in 7 passes
- Mon Oct 26 08:25:37 2020 max relations containing the same ideal: 124
- Mon Oct 26 08:26:00 2020 removing 6077516 relations and 4077516 ideals in 2000000 cliques
- Mon Oct 26 08:26:02 2020 commencing in-memory singleton removal
- Mon Oct 26 08:26:06 2020 begin with 56016333 relations and 54346545 unique ideals
- Mon Oct 26 08:26:38 2020 reduce to 55586374 relations and 49827283 ideals in 8 passes
- Mon Oct 26 08:26:38 2020 max relations containing the same ideal: 115
- Mon Oct 26 08:27:00 2020 removing 6147876 relations and 4147876 ideals in 2000000 cliques
- Mon Oct 26 08:27:02 2020 commencing in-memory singleton removal
- Mon Oct 26 08:27:05 2020 begin with 49438498 relations and 49827283 unique ideals
- Mon Oct 26 08:27:30 2020 reduce to 48943955 relations and 45169830 ideals in 7 passes
- Mon Oct 26 08:27:30 2020 max relations containing the same ideal: 104
- Mon Oct 26 08:27:49 2020 removing 6252376 relations and 4252376 ideals in 2000000 cliques
- Mon Oct 26 08:27:51 2020 commencing in-memory singleton removal
- Mon Oct 26 08:27:54 2020 begin with 42691579 relations and 45169830 unique ideals
- Mon Oct 26 08:28:15 2020 reduce to 42101682 relations and 40306989 ideals in 7 passes
- Mon Oct 26 08:28:15 2020 max relations containing the same ideal: 92
- Mon Oct 26 08:28:31 2020 removing 3410736 relations and 2495178 ideals in 915558 cliques
- Mon Oct 26 08:28:32 2020 commencing in-memory singleton removal
- Mon Oct 26 08:28:35 2020 begin with 38690946 relations and 40306989 unique ideals
- Mon Oct 26 08:28:54 2020 reduce to 38484904 relations and 37601922 ideals in 7 passes
- Mon Oct 26 08:28:54 2020 max relations containing the same ideal: 88
- Mon Oct 26 08:29:13 2020 relations with 0 large ideals: 59104
- Mon Oct 26 08:29:13 2020 relations with 1 large ideals: 8448
- Mon Oct 26 08:29:13 2020 relations with 2 large ideals: 97200
- Mon Oct 26 08:29:13 2020 relations with 3 large ideals: 693452
- Mon Oct 26 08:29:13 2020 relations with 4 large ideals: 2777662
- Mon Oct 26 08:29:13 2020 relations with 5 large ideals: 7968274
- Mon Oct 26 08:29:13 2020 relations with 6 large ideals: 9588648
- Mon Oct 26 08:29:13 2020 relations with 7+ large ideals: 17292116
- Mon Oct 26 08:29:13 2020 commencing 2-way merge
- Mon Oct 26 08:29:34 2020 reduce to 26130092 relation sets and 25247110 unique ideals
- Mon Oct 26 08:29:35 2020 commencing full merge
- Mon Oct 26 08:39:23 2020 memory use: 3272.9 MB
- Mon Oct 26 08:39:29 2020 found 11641376 cycles, need 11639310
- Mon Oct 26 08:39:29 2020 weight of 11639310 cycles is about 1396904593 (120.02/cycle)
- Mon Oct 26 08:39:29 2020 distribution of cycle lengths:
- Mon Oct 26 08:39:29 2020 1 relations: 484579
- Mon Oct 26 08:39:29 2020 2 relations: 632407
- Mon Oct 26 08:39:29 2020 3 relations: 737384
- Mon Oct 26 08:39:29 2020 4 relations: 780215
- Mon Oct 26 08:39:29 2020 5 relations: 808482
- Mon Oct 26 08:39:29 2020 6 relations: 813326
- Mon Oct 26 08:39:29 2020 7 relations: 802990
- Mon Oct 26 08:39:29 2020 8 relations: 781663
- Mon Oct 26 08:39:29 2020 9 relations: 741665
- Mon Oct 26 08:39:29 2020 10+ relations: 5056599
- Mon Oct 26 08:39:29 2020 heaviest cycle: 28 relations
- Mon Oct 26 08:39:34 2020 commencing cycle optimization
- Mon Oct 26 08:40:01 2020 start with 109247339 relations
- Mon Oct 26 08:44:53 2020 pruned 5787196 relations
- Mon Oct 26 08:44:54 2020 memory use: 2722.3 MB
- Mon Oct 26 08:44:54 2020 distribution of cycle lengths:
- Mon Oct 26 08:44:54 2020 1 relations: 484579
- Mon Oct 26 08:44:54 2020 2 relations: 646640
- Mon Oct 26 08:44:54 2020 3 relations: 769398
- Mon Oct 26 08:44:54 2020 4 relations: 816950
- Mon Oct 26 08:44:54 2020 5 relations: 855450
- Mon Oct 26 08:44:54 2020 6 relations: 859899
- Mon Oct 26 08:44:54 2020 7 relations: 853420
- Mon Oct 26 08:44:54 2020 8 relations: 827997
- Mon Oct 26 08:44:54 2020 9 relations: 786139
- Mon Oct 26 08:44:54 2020 10+ relations: 4738838
- Mon Oct 26 08:44:54 2020 heaviest cycle: 28 relations
- Mon Oct 26 08:45:30 2020 RelProcTime: 6287
- Mon Oct 26 08:45:30 2020
- Mon Oct 26 08:45:30 2020 commencing linear algebra
- Mon Oct 26 08:45:32 2020 read 11639310 cycles
- Mon Oct 26 08:45:59 2020 cycles contain 38024166 unique relations
- Mon Oct 26 08:54:45 2020 read 38024166 relations
- Mon Oct 26 08:56:05 2020 using 20 quadratic characters above 4294917295
- Mon Oct 26 08:58:14 2020 building initial matrix
- Mon Oct 26 09:04:38 2020 memory use: 4883.1 MB
- Mon Oct 26 09:06:56 2020 read 11639310 cycles
- Mon Oct 26 09:06:57 2020 matrix is 11639133 x 11639310 (5455.4 MB) with weight 1558419990 (133.89/col)
- Mon Oct 26 09:06:57 2020 sparse part has weight 1302074058 (111.87/col)
- Mon Oct 26 09:09:04 2020 filtering completed in 2 passes
- Mon Oct 26 09:09:06 2020 matrix is 11639080 x 11639257 (5455.4 MB) with weight 1558418508 (133.89/col)
- Mon Oct 26 09:09:06 2020 sparse part has weight 1302073702 (111.87/col)
- Mon Oct 26 09:11:44 2020 matrix starts at (0, 0)
- Mon Oct 26 09:11:45 2020 matrix is 11639080 x 11639257 (5455.4 MB) with weight 1558418508 (133.89/col)
- Mon Oct 26 09:11:45 2020 sparse part has weight 1302073702 (111.87/col)
- Mon Oct 26 09:11:45 2020 saving the first 48 matrix rows for later
- Mon Oct 26 09:11:46 2020 matrix includes 64 packed rows
- Mon Oct 26 09:11:48 2020 matrix is 11639032 x 11639257 (5233.9 MB) with weight 1343648251 (115.44/col)
- Mon Oct 26 09:11:48 2020 sparse part has weight 1255649551 (107.88/col)
- Mon Oct 26 09:11:48 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Mon Oct 26 09:12:48 2020 commencing Lanczos iteration (16 threads)
- Mon Oct 26 09:12:48 2020 memory use: 4483.3 MB
- Mon Oct 26 09:13:02 2020 linear algebra at 0.0%, ETA 27h39m
- Mon Oct 26 09:13:06 2020 checkpointing every 430000 dimensions
- Tue Oct 27 13:06:41 2020 lanczos halted after 184058 iterations (dim = 11639030)
- Tue Oct 27 13:06:50 2020 recovered 37 nontrivial dependencies
- Tue Oct 27 13:06:55 2020 BLanczosTime: 102085
- Tue Oct 27 13:06:55 2020
- Tue Oct 27 13:06:55 2020 commencing square root phase
- Tue Oct 27 13:06:55 2020 handling dependencies 1 to 64
- Tue Oct 27 13:06:55 2020 reading relations for dependency 1
- Tue Oct 27 13:07:05 2020 read 5822537 cycles
- Tue Oct 27 13:07:18 2020 cycles contain 19016988 unique relations
- Tue Oct 27 13:15:55 2020 read 19016988 relations
- Tue Oct 27 13:17:11 2020 multiplying 19016988 relations
- Tue Oct 27 13:22:18 2020 multiply complete, coefficients have about 505.57 million bits
- Tue Oct 27 13:22:20 2020 initial square root is modulo 1179036563
- Tue Oct 27 13:28:05 2020 sqrtTime: 1270
- Tue Oct 27 13:28:05 2020 p64 factor: 1881521115835592636704229207284490834976445908718569894604726391
- Tue Oct 27 13:28:05 2020 p149 factor: 35202352282950023796605785187277301222327000597564896671351610556689887560152216278397966441580668537736856326207577521047499142600032974420273040351
- Tue Oct 27 13:28:05 2020 elapsed time 30:27:25
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