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- Sat Jun 21 05:49:15 2025
- Sat Jun 21 05:49:15 2025
- Sat Jun 21 05:49:15 2025 Msieve v. 1.52 (SVN unknown)
- Sat Jun 21 05:49:15 2025 random seeds: f164cca0 cb39dd68
- Sat Jun 21 05:49:15 2025 factoring 1774131899502393856718451243217950218602919666435150805357529148776923742407503418268055660275924703613994727534212601941339541241597678912245706318006448753227129322764916074857597179234875234582929472284002095909281588435018424961288110752611 (244 digits)
- Sat Jun 21 05:49:17 2025 no P-1/P+1/ECM available, skipping
- Sat Jun 21 05:49:17 2025 commencing number field sieve (244-digit input)
- Sat Jun 21 05:49:17 2025 R0: 1047532535594334222593508922191671036215296
- Sat Jun 21 05:49:17 2025 R1: -55511151231257827021181583404541015625
- Sat Jun 21 05:49:17 2025 A0: 25
- Sat Jun 21 05:49:17 2025 A1: 0
- Sat Jun 21 05:49:17 2025 A2: 0
- Sat Jun 21 05:49:17 2025 A3: 30
- Sat Jun 21 05:49:17 2025 A4: 0
- Sat Jun 21 05:49:17 2025 A5: 0
- Sat Jun 21 05:49:17 2025 A6: 36
- Sat Jun 21 05:49:17 2025 skew 0.94, size 1.352e-012, alpha 0.330, combined = 1.478e-013 rroots = 0
- Sat Jun 21 05:49:17 2025
- Sat Jun 21 05:49:17 2025 commencing relation filtering
- Sat Jun 21 05:49:17 2025 setting target matrix density to 100.0
- Sat Jun 21 05:49:17 2025 estimated available RAM is 16289.0 MB
- Sat Jun 21 05:49:17 2025 commencing duplicate removal, pass 1
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95773
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95774
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95775
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95776
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95777
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95778
- Sat Jun 21 05:49:18 2025 error -1 reading relation 95779
- Sat Jun 21 06:29:06 2025 error -1 reading relation 255683634
- Sat Jun 21 06:29:06 2025 error -1 reading relation 255683635
- Sat Jun 21 06:29:06 2025 error -1 reading relation 255683636
- Sat Jun 21 06:29:06 2025 error -1 reading relation 255683637
- Sat Jun 21 06:29:09 2025 error -9 reading relation 255995024
- Sat Jun 21 06:29:12 2025 error -1 reading relation 256285887
- Sat Jun 21 06:29:12 2025 skipped 664 relations with b > 2^32
- Sat Jun 21 06:29:12 2025 found 48092154 hash collisions in 256287586 relations
- Sat Jun 21 06:29:32 2025 added 812763 free relations
- Sat Jun 21 06:29:32 2025 commencing duplicate removal, pass 2
- Sat Jun 21 06:36:46 2025 found 46371146 duplicates and 210729203 unique relations
- Sat Jun 21 06:36:46 2025 memory use: 1321.5 MB
- Sat Jun 21 06:36:46 2025 reading ideals above 154992640
- Sat Jun 21 06:36:46 2025 commencing singleton removal, initial pass
- Sat Jun 21 07:27:23 2025 memory use: 3012.0 MB
- Sat Jun 21 07:27:23 2025 reading all ideals from disk
- Sat Jun 21 07:28:39 2025 memory use: 3716.7 MB
- Sat Jun 21 07:28:46 2025 commencing in-memory singleton removal
- Sat Jun 21 07:28:53 2025 begin with 210729203 relations and 160761495 unique ideals
- Sat Jun 21 07:30:06 2025 reduce to 153560024 relations and 99319986 ideals in 11 passes
- Sat Jun 21 07:30:06 2025 max relations containing the same ideal: 42
- Sat Jun 21 07:30:18 2025 reading ideals above 720000
- Sat Jun 21 07:30:18 2025 commencing singleton removal, initial pass
- Sat Jun 21 08:03:05 2025 memory use: 3012.0 MB
- Sat Jun 21 08:03:05 2025 reading all ideals from disk
- Sat Jun 21 08:03:08 2025 memory use: 6277.4 MB
- Sat Jun 21 08:03:25 2025 keeping 115935705 ideals with weight <= 200, target excess is 798141
- Sat Jun 21 08:03:43 2025 commencing in-memory singleton removal
- Sat Jun 21 08:03:56 2025 begin with 153560024 relations and 115935705 unique ideals
- Sat Jun 21 08:04:49 2025 reduce to 153559926 relations and 115935607 ideals in 4 passes
- Sat Jun 21 08:04:49 2025 max relations containing the same ideal: 200
- Sat Jun 21 08:05:52 2025 removing 8989578 relations and 6989578 ideals in 2000000 cliques
- Sat Jun 21 08:05:55 2025 commencing in-memory singleton removal
- Sat Jun 21 08:06:07 2025 begin with 144570348 relations and 115935607 unique ideals
- Sat Jun 21 08:07:35 2025 reduce to 144167611 relations and 108536562 ideals in 7 passes
- Sat Jun 21 08:07:35 2025 max relations containing the same ideal: 200
- Sat Jun 21 08:08:34 2025 removing 7027810 relations and 5027810 ideals in 2000000 cliques
- Sat Jun 21 08:08:37 2025 commencing in-memory singleton removal
- Sat Jun 21 08:08:48 2025 begin with 137139801 relations and 108536562 unique ideals
- Sat Jun 21 08:10:00 2025 reduce to 136861064 relations and 103225986 ideals in 6 passes
- Sat Jun 21 08:10:00 2025 max relations containing the same ideal: 195
- Sat Jun 21 08:10:57 2025 removing 6476918 relations and 4476918 ideals in 2000000 cliques
- Sat Jun 21 08:11:00 2025 commencing in-memory singleton removal
- Sat Jun 21 08:11:10 2025 begin with 130384146 relations and 103225986 unique ideals
- Sat Jun 21 08:12:18 2025 reduce to 130139228 relations and 98500704 ideals in 6 passes
- Sat Jun 21 08:12:18 2025 max relations containing the same ideal: 191
- Sat Jun 21 08:13:12 2025 removing 6193480 relations and 4193480 ideals in 2000000 cliques
- Sat Jun 21 08:13:15 2025 commencing in-memory singleton removal
- Sat Jun 21 08:13:25 2025 begin with 123945748 relations and 98500704 unique ideals
- Sat Jun 21 08:14:29 2025 reduce to 123717948 relations and 94076148 ideals in 6 passes
- Sat Jun 21 08:14:29 2025 max relations containing the same ideal: 185
- Sat Jun 21 08:15:20 2025 removing 6012852 relations and 4012852 ideals in 2000000 cliques
- Sat Jun 21 08:15:23 2025 commencing in-memory singleton removal
- Sat Jun 21 08:15:32 2025 begin with 117705096 relations and 94076148 unique ideals
- Sat Jun 21 08:16:33 2025 reduce to 117486066 relations and 89840871 ideals in 6 passes
- Sat Jun 21 08:16:33 2025 max relations containing the same ideal: 180
- Sat Jun 21 08:17:22 2025 removing 5893896 relations and 3893896 ideals in 2000000 cliques
- Sat Jun 21 08:17:24 2025 commencing in-memory singleton removal
- Sat Jun 21 08:17:33 2025 begin with 111592170 relations and 89840871 unique ideals
- Sat Jun 21 08:18:31 2025 reduce to 111375057 relations and 85726485 ideals in 6 passes
- Sat Jun 21 08:18:31 2025 max relations containing the same ideal: 175
- Sat Jun 21 08:19:18 2025 removing 5810732 relations and 3810732 ideals in 2000000 cliques
- Sat Jun 21 08:19:20 2025 commencing in-memory singleton removal
- Sat Jun 21 08:19:28 2025 begin with 105564325 relations and 85726485 unique ideals
- Sat Jun 21 08:20:22 2025 reduce to 105347490 relations and 81695374 ideals in 6 passes
- Sat Jun 21 08:20:22 2025 max relations containing the same ideal: 169
- Sat Jun 21 08:21:07 2025 removing 5752493 relations and 3752493 ideals in 2000000 cliques
- Sat Jun 21 08:21:09 2025 commencing in-memory singleton removal
- Sat Jun 21 08:21:17 2025 begin with 99594997 relations and 81695374 unique ideals
- Sat Jun 21 08:22:12 2025 reduce to 99373973 relations and 77718097 ideals in 6 passes
- Sat Jun 21 08:22:12 2025 max relations containing the same ideal: 162
- Sat Jun 21 08:23:00 2025 removing 5708867 relations and 3708867 ideals in 2000000 cliques
- Sat Jun 21 08:23:02 2025 commencing in-memory singleton removal
- Sat Jun 21 08:23:10 2025 begin with 93665106 relations and 77718097 unique ideals
- Sat Jun 21 08:24:15 2025 reduce to 93437042 relations and 73776895 ideals in 7 passes
- Sat Jun 21 08:24:15 2025 max relations containing the same ideal: 156
- Sat Jun 21 08:25:01 2025 removing 5683677 relations and 3683677 ideals in 2000000 cliques
- Sat Jun 21 08:25:03 2025 commencing in-memory singleton removal
- Sat Jun 21 08:25:12 2025 begin with 87753365 relations and 73776895 unique ideals
- Sat Jun 21 08:26:07 2025 reduce to 87516039 relations and 69851396 ideals in 6 passes
- Sat Jun 21 08:26:07 2025 max relations containing the same ideal: 150
- Sat Jun 21 08:26:50 2025 removing 5671887 relations and 3671887 ideals in 2000000 cliques
- Sat Jun 21 08:26:52 2025 commencing in-memory singleton removal
- Sat Jun 21 08:27:00 2025 begin with 81844152 relations and 69851396 unique ideals
- Sat Jun 21 08:27:51 2025 reduce to 81595609 relations and 65925736 ideals in 6 passes
- Sat Jun 21 08:27:51 2025 max relations containing the same ideal: 143
- Sat Jun 21 08:28:31 2025 removing 5670841 relations and 3670841 ideals in 2000000 cliques
- Sat Jun 21 08:28:33 2025 commencing in-memory singleton removal
- Sat Jun 21 08:28:41 2025 begin with 75924768 relations and 65925736 unique ideals
- Sat Jun 21 08:29:37 2025 reduce to 75658508 relations and 61982935 ideals in 7 passes
- Sat Jun 21 08:29:37 2025 max relations containing the same ideal: 139
- Sat Jun 21 08:30:15 2025 removing 5683278 relations and 3683278 ideals in 2000000 cliques
- Sat Jun 21 08:30:17 2025 commencing in-memory singleton removal
- Sat Jun 21 08:30:25 2025 begin with 69975230 relations and 61982935 unique ideals
- Sat Jun 21 08:31:17 2025 reduce to 69689222 relations and 58007005 ideals in 7 passes
- Sat Jun 21 08:31:17 2025 max relations containing the same ideal: 131
- Sat Jun 21 08:31:55 2025 removing 5708820 relations and 3708820 ideals in 2000000 cliques
- Sat Jun 21 08:31:57 2025 commencing in-memory singleton removal
- Sat Jun 21 08:32:03 2025 begin with 63980402 relations and 58007005 unique ideals
- Sat Jun 21 08:32:51 2025 reduce to 63668475 relations and 53978565 ideals in 7 passes
- Sat Jun 21 08:32:51 2025 max relations containing the same ideal: 120
- Sat Jun 21 08:33:25 2025 removing 5745110 relations and 3745110 ideals in 2000000 cliques
- Sat Jun 21 08:33:26 2025 commencing in-memory singleton removal
- Sat Jun 21 08:33:32 2025 begin with 57923365 relations and 53978565 unique ideals
- Sat Jun 21 08:34:15 2025 reduce to 57577963 relations and 49878653 ideals in 7 passes
- Sat Jun 21 08:34:15 2025 max relations containing the same ideal: 113
- Sat Jun 21 08:34:45 2025 removing 5797847 relations and 3797847 ideals in 2000000 cliques
- Sat Jun 21 08:34:47 2025 commencing in-memory singleton removal
- Sat Jun 21 08:34:52 2025 begin with 51780116 relations and 49878653 unique ideals
- Sat Jun 21 08:35:31 2025 reduce to 51389614 relations and 45678622 ideals in 7 passes
- Sat Jun 21 08:35:31 2025 max relations containing the same ideal: 105
- Sat Jun 21 08:35:59 2025 removing 5868040 relations and 3868040 ideals in 2000000 cliques
- Sat Jun 21 08:36:01 2025 commencing in-memory singleton removal
- Sat Jun 21 08:36:05 2025 begin with 45521574 relations and 45678622 unique ideals
- Sat Jun 21 08:36:39 2025 reduce to 45071768 relations and 41345979 ideals in 7 passes
- Sat Jun 21 08:36:39 2025 max relations containing the same ideal: 100
- Sat Jun 21 08:37:04 2025 removing 5958256 relations and 3958256 ideals in 2000000 cliques
- Sat Jun 21 08:37:06 2025 commencing in-memory singleton removal
- Sat Jun 21 08:37:10 2025 begin with 39113512 relations and 41345979 unique ideals
- Sat Jun 21 08:37:49 2025 reduce to 38579746 relations and 36834047 ideals in 9 passes
- Sat Jun 21 08:37:49 2025 max relations containing the same ideal: 93
- Sat Jun 21 08:38:10 2025 removing 2926860 relations and 2107005 ideals in 819855 cliques
- Sat Jun 21 08:38:11 2025 commencing in-memory singleton removal
- Sat Jun 21 08:38:15 2025 begin with 35652886 relations and 36834047 unique ideals
- Sat Jun 21 08:38:36 2025 reduce to 35487061 relations and 34558215 ideals in 6 passes
- Sat Jun 21 08:38:36 2025 max relations containing the same ideal: 87
- Sat Jun 21 08:38:59 2025 relations with 0 large ideals: 19862
- Sat Jun 21 08:38:59 2025 relations with 1 large ideals: 9653
- Sat Jun 21 08:38:59 2025 relations with 2 large ideals: 121337
- Sat Jun 21 08:38:59 2025 relations with 3 large ideals: 826957
- Sat Jun 21 08:38:59 2025 relations with 4 large ideals: 3044427
- Sat Jun 21 08:38:59 2025 relations with 5 large ideals: 6711988
- Sat Jun 21 08:38:59 2025 relations with 6 large ideals: 9310357
- Sat Jun 21 08:38:59 2025 relations with 7+ large ideals: 15442480
- Sat Jun 21 08:38:59 2025 commencing 2-way merge
- Sat Jun 21 08:39:26 2025 reduce to 24161959 relation sets and 23233113 unique ideals
- Sat Jun 21 08:39:26 2025 commencing full merge
- Sat Jun 21 08:48:52 2025 memory use: 3069.0 MB
- Sat Jun 21 08:48:58 2025 found 11837514 cycles, need 11717313
- Sat Jun 21 08:48:58 2025 weight of 11717313 cycles is about 1171788067 (100.00/cycle)
- Sat Jun 21 08:48:58 2025 distribution of cycle lengths:
- Sat Jun 21 08:48:58 2025 1 relations: 637772
- Sat Jun 21 08:48:58 2025 2 relations: 915364
- Sat Jun 21 08:48:58 2025 3 relations: 1066464
- Sat Jun 21 08:48:58 2025 4 relations: 1095750
- Sat Jun 21 08:48:58 2025 5 relations: 1109981
- Sat Jun 21 08:48:58 2025 6 relations: 1080356
- Sat Jun 21 08:48:58 2025 7 relations: 1018120
- Sat Jun 21 08:48:58 2025 8 relations: 924901
- Sat Jun 21 08:48:58 2025 9 relations: 810085
- Sat Jun 21 08:48:58 2025 10+ relations: 3058520
- Sat Jun 21 08:48:58 2025 heaviest cycle: 24 relations
- Sat Jun 21 08:49:12 2025 commencing cycle optimization
- Sat Jun 21 08:49:31 2025 start with 82875836 relations
- Sat Jun 21 08:52:54 2025 pruned 3579807 relations
- Sat Jun 21 08:52:54 2025 memory use: 2336.8 MB
- Sat Jun 21 08:52:54 2025 distribution of cycle lengths:
- Sat Jun 21 08:52:54 2025 1 relations: 637772
- Sat Jun 21 08:52:54 2025 2 relations: 939662
- Sat Jun 21 08:52:54 2025 3 relations: 1115307
- Sat Jun 21 08:52:54 2025 4 relations: 1145155
- Sat Jun 21 08:52:54 2025 5 relations: 1168736
- Sat Jun 21 08:52:54 2025 6 relations: 1134197
- Sat Jun 21 08:52:54 2025 7 relations: 1068169
- Sat Jun 21 08:52:54 2025 8 relations: 958517
- Sat Jun 21 08:52:54 2025 9 relations: 832053
- Sat Jun 21 08:52:54 2025 10+ relations: 2717745
- Sat Jun 21 08:52:54 2025 heaviest cycle: 23 relations
- Sat Jun 21 08:53:17 2025 RelProcTime: 11040
- Sat Jun 21 08:53:17 2025
- Sat Jun 21 08:53:17 2025 commencing linear algebra
- Sat Jun 21 08:53:20 2025 read 11717313 cycles
- Sat Jun 21 08:53:42 2025 cycles contain 35050429 unique relations
- Sat Jun 21 09:01:15 2025 read 35050429 relations
- Sat Jun 21 09:02:12 2025 using 20 quadratic characters above 2147482868
- Sat Jun 21 09:04:34 2025 building initial matrix
- Sat Jun 21 09:11:18 2025 memory use: 4553.1 MB
- Sat Jun 21 09:11:58 2025 read 11717313 cycles
- Sat Jun 21 09:12:01 2025 matrix is 11717136 x 11717313 (4665.4 MB) with weight 1338031220 (114.19/col)
- Sat Jun 21 09:12:01 2025 sparse part has weight 1105831583 (94.38/col)
- Sat Jun 21 09:14:04 2025 filtering completed in 2 passes
- Sat Jun 21 09:14:07 2025 matrix is 11716548 x 11716725 (4665.3 MB) with weight 1338011798 (114.20/col)
- Sat Jun 21 09:14:07 2025 sparse part has weight 1105823823 (94.38/col)
- Sat Jun 21 09:16:18 2025 matrix starts at (0, 0)
- Sat Jun 21 09:16:21 2025 matrix is 11716548 x 11716725 (4665.3 MB) with weight 1338011798 (114.20/col)
- Sat Jun 21 09:16:21 2025 sparse part has weight 1105823823 (94.38/col)
- Sat Jun 21 09:16:21 2025 saving the first 48 matrix rows for later
- Sat Jun 21 09:16:25 2025 matrix includes 64 packed rows
- Sat Jun 21 09:16:27 2025 matrix is 11716500 x 11716725 (4482.6 MB) with weight 1129990420 (96.44/col)
- Sat Jun 21 09:16:27 2025 sparse part has weight 1057913050 (90.29/col)
- Sat Jun 21 09:16:27 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
- Sat Jun 21 09:17:24 2025 commencing Lanczos iteration (4 threads)
- Sat Jun 21 09:17:24 2025 memory use: 3798.1 MB
- Sat Jun 21 09:18:52 2025 linear algebra at 0.0%, ETA 181h58m
- Sat Jun 21 09:19:20 2025 checkpointing every 70000 dimensions
- Sun Jun 29 03:27:26 2025 lanczos halted after 185285 iterations (dim = 11716499)
- Sun Jun 29 03:27:41 2025 recovered 38 nontrivial dependencies
- Sun Jun 29 03:27:49 2025 BLanczosTime: 671672
- Sun Jun 29 03:27:49 2025
- Sun Jun 29 03:27:49 2025 commencing square root phase
- Sun Jun 29 03:27:49 2025 handling dependencies 1 to 64
- Sun Jun 29 03:27:49 2025 reading relations for dependency 1
- Sun Jun 29 03:27:51 2025 read 5857927 cycles
- Sun Jun 29 03:28:00 2025 cycles contain 17524970 unique relations
- Sun Jun 29 03:35:51 2025 read 17524970 relations
- Sun Jun 29 03:37:41 2025 multiplying 17524970 relations
- Sun Jun 29 03:56:48 2025 multiply complete, coefficients have about 545.29 million bits
- Sun Jun 29 03:56:54 2025 initial square root is modulo 77999
- Sun Jun 29 04:18:43 2025 GCD is N, no factor found
- Sun Jun 29 04:18:43 2025 reading relations for dependency 2
- Sun Jun 29 04:19:12 2025 read 5856349 cycles
- Sun Jun 29 04:19:21 2025 cycles contain 17519556 unique relations
- Sun Jun 29 04:26:01 2025 read 17519556 relations
- Sun Jun 29 04:27:42 2025 multiplying 17519556 relations
- Sun Jun 29 04:46:40 2025 multiply complete, coefficients have about 545.13 million bits
- Sun Jun 29 04:46:45 2025 initial square root is modulo 77747
- Sun Jun 29 05:08:31 2025 GCD is 1, no factor found
- Sun Jun 29 05:08:31 2025 reading relations for dependency 3
- Sun Jun 29 05:09:01 2025 read 5858279 cycles
- Sun Jun 29 05:09:10 2025 cycles contain 17524402 unique relations
- Sun Jun 29 05:15:47 2025 read 17524402 relations
- Sun Jun 29 05:17:30 2025 multiplying 17524402 relations
- Sun Jun 29 05:36:27 2025 multiply complete, coefficients have about 545.27 million bits
- Sun Jun 29 05:36:33 2025 initial square root is modulo 77969
- Sun Jun 29 05:58:14 2025 GCD is 1, no factor found
- Sun Jun 29 05:58:14 2025 reading relations for dependency 4
- Sun Jun 29 05:58:42 2025 read 5859402 cycles
- Sun Jun 29 05:58:51 2025 cycles contain 17530056 unique relations
- Sun Jun 29 06:06:23 2025 read 17530056 relations
- Sun Jun 29 06:08:04 2025 multiplying 17530056 relations
- Sun Jun 29 06:27:13 2025 multiply complete, coefficients have about 545.45 million bits
- Sun Jun 29 06:27:19 2025 initial square root is modulo 78311
- Sun Jun 29 06:48:48 2025 GCD is 1, no factor found
- Sun Jun 29 06:48:48 2025 reading relations for dependency 5
- Sun Jun 29 06:49:17 2025 read 5856273 cycles
- Sun Jun 29 06:49:25 2025 cycles contain 17522624 unique relations
- Sun Jun 29 06:56:00 2025 read 17522624 relations
- Sun Jun 29 06:57:43 2025 multiplying 17522624 relations
- Sun Jun 29 07:16:40 2025 multiply complete, coefficients have about 545.22 million bits
- Sun Jun 29 07:16:45 2025 initial square root is modulo 77933
- Sun Jun 29 07:38:36 2025 sqrtTime: 15047
- Sun Jun 29 07:38:36 2025 prp67 factor: 1010755477653502549115805070357251644005384742723286915786590205157
- Sun Jun 29 07:38:36 2025 prp178 factor: 1755253311731825859953014339248181270521992508757416721627808627880804708005002059791566231100919598221647901078121472995207223293436194068496294386338529667470393833293275962023
- Sun Jun 29 07:38:36 2025 elapsed time 193:49:21
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