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Wed May 8 06:45:16 2024 Wed May 8 06:45:16 2024 Wed May 8 06:45:16 2024 Msieve v. 1.54 (SVN 1044M) Wed May 8 06:45:16 2024 random seeds: 404e728a ea46c1ab Wed May 8 06:45:16 2024 factoring 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (256 digits) Wed May 8 06:45:18 2024 no P-1/P+1/ECM available, skipping Wed May 8 06:45:18 2024 commencing number field sieve (256-digit input) Wed May 8 06:45:18 2024 R0: -1000000000000000000000000000000000000000000 Wed May 8 06:45:18 2024 R1: 1 Wed May 8 06:45:18 2024 A0: -17 Wed May 8 06:45:18 2024 A1: 0 Wed May 8 06:45:18 2024 A2: 0 Wed May 8 06:45:18 2024 A3: 0 Wed May 8 06:45:18 2024 A4: 0 Wed May 8 06:45:18 2024 A5: 0 Wed May 8 06:45:18 2024 A6: 26000 Wed May 8 06:45:18 2024 skew 1.00, size 7.030e-13, alpha -0.696, combined = 8.802e-14 rroots = 2 Wed May 8 06:45:18 2024 Wed May 8 06:45:18 2024 commencing relation filtering Wed May 8 06:45:18 2024 setting target matrix density to 128.0 Wed May 8 06:45:18 2024 estimated available RAM is 15960.0 MB Wed May 8 06:45:18 2024 commencing duplicate removal, pass 1 Wed May 8 06:50:40 2024 error -15 reading relation 22382310 Wed May 8 06:58:24 2024 error -15 reading relation 55598799 Wed May 8 07:04:17 2024 error -11 reading relation 83238642 Wed May 8 07:04:17 2024 error -11 reading relation 83245411 Wed May 8 07:04:17 2024 error -11 reading relation 83247143 Wed May 8 07:04:17 2024 error -11 reading relation 83247144 Wed May 8 07:04:17 2024 error -11 reading relation 83247145 Wed May 8 07:04:17 2024 error -6 reading relation 83247146 Wed May 8 07:04:17 2024 error -11 reading relation 83252733 Wed May 8 07:15:00 2024 error -11 reading relation 133074964 Wed May 8 07:15:00 2024 error -11 reading relation 133075108 Wed May 8 07:20:30 2024 error -11 reading relation 158592557 Wed May 8 07:25:36 2024 error -11 reading relation 182440659 Wed May 8 07:25:36 2024 error -11 reading relation 182441597 Wed May 8 07:25:38 2024 error -11 reading relation 182523630 Wed May 8 07:29:08 2024 error -11 reading relation 198660502 Wed May 8 07:30:01 2024 skipped 3149 relations with b > 2^32 Wed May 8 07:30:01 2024 skipped 2 relations with composite factors Wed May 8 07:30:01 2024 found 8912637 hash collisions in 201771687 relations Wed May 8 07:30:24 2024 commencing duplicate removal, pass 2 Wed May 8 07:31:59 2024 found 0 duplicates and 201771687 unique relations Wed May 8 07:31:59 2024 memory use: 522.4 MB Wed May 8 07:31:59 2024 reading ideals above 171114496 Wed May 8 07:31:59 2024 commencing singleton removal, initial pass Wed May 8 08:00:26 2024 memory use: 3012.0 MB Wed May 8 08:00:27 2024 reading all ideals from disk Wed May 8 08:00:35 2024 memory use: 3551.8 MB Wed May 8 08:00:47 2024 commencing in-memory singleton removal Wed May 8 08:01:01 2024 begin with 201771687 relations and 162816887 unique ideals Wed May 8 08:03:44 2024 reduce to 140403097 relations and 95989425 ideals in 13 passes Wed May 8 08:03:44 2024 max relations containing the same ideal: 48 Wed May 8 08:04:01 2024 reading ideals above 720000 Wed May 8 08:04:01 2024 commencing singleton removal, initial pass Wed May 8 08:34:33 2024 memory use: 3012.0 MB Wed May 8 08:34:34 2024 reading all ideals from disk Wed May 8 08:34:50 2024 memory use: 5773.8 MB Wed May 8 08:35:09 2024 keeping 114364998 ideals with weight <= 200, target excess is 743826 Wed May 8 08:35:29 2024 commencing in-memory singleton removal Wed May 8 08:35:39 2024 begin with 140403097 relations and 114364998 unique ideals Wed May 8 08:36:51 2024 reduce to 140398252 relations and 114360153 ideals in 7 passes Wed May 8 08:36:51 2024 max relations containing the same ideal: 200 Wed May 8 08:37:43 2024 removing 10646193 relations and 8646193 ideals in 2000000 cliques Wed May 8 08:37:48 2024 commencing in-memory singleton removal Wed May 8 08:37:57 2024 begin with 129752059 relations and 114360153 unique ideals Wed May 8 08:39:41 2024 reduce to 129104525 relations and 105054303 ideals in 8 passes Wed May 8 08:39:41 2024 max relations containing the same ideal: 197 Wed May 8 08:41:16 2024 removing 8201637 relations and 6201637 ideals in 2000000 cliques Wed May 8 08:41:25 2024 commencing in-memory singleton removal Wed May 8 08:41:40 2024 begin with 120902888 relations and 105054303 unique ideals Wed May 8 08:43:36 2024 reduce to 120466589 relations and 98409397 ideals in 7 passes Wed May 8 08:43:36 2024 max relations containing the same ideal: 191 Wed May 8 08:45:09 2024 removing 7482635 relations and 5482635 ideals in 2000000 cliques Wed May 8 08:45:17 2024 commencing in-memory singleton removal Wed May 8 08:45:31 2024 begin with 112983954 relations and 98409397 unique ideals Wed May 8 08:47:11 2024 reduce to 112596853 relations and 92533491 ideals in 7 passes Wed May 8 08:47:11 2024 max relations containing the same ideal: 184 Wed May 8 08:48:40 2024 removing 7127188 relations and 5127188 ideals in 2000000 cliques Wed May 8 08:48:48 2024 commencing in-memory singleton removal Wed May 8 08:49:03 2024 begin with 105469665 relations and 92533491 unique ideals Wed May 8 08:50:39 2024 reduce to 105102107 relations and 87032698 ideals in 7 passes Wed May 8 08:50:39 2024 max relations containing the same ideal: 176 Wed May 8 08:51:54 2024 removing 6904136 relations and 4904136 ideals in 2000000 cliques Wed May 8 08:52:02 2024 commencing in-memory singleton removal Wed May 8 08:52:15 2024 begin with 98197971 relations and 87032698 unique ideals Wed May 8 08:54:02 2024 reduce to 97836551 relations and 81760851 ideals in 8 passes Wed May 8 08:54:02 2024 max relations containing the same ideal: 169 Wed May 8 08:55:14 2024 removing 6771504 relations and 4771504 ideals in 2000000 cliques Wed May 8 08:55:20 2024 commencing in-memory singleton removal Wed May 8 08:55:30 2024 begin with 91065047 relations and 81760851 unique ideals Wed May 8 08:56:55 2024 reduce to 90700083 relations and 76617824 ideals in 7 passes Wed May 8 08:56:55 2024 max relations containing the same ideal: 161 Wed May 8 08:57:57 2024 removing 6682591 relations and 4682591 ideals in 2000000 cliques Wed May 8 08:58:03 2024 commencing in-memory singleton removal Wed May 8 08:58:13 2024 begin with 84017492 relations and 76617824 unique ideals Wed May 8 08:59:25 2024 reduce to 83641722 relations and 71552036 ideals in 7 passes Wed May 8 08:59:25 2024 max relations containing the same ideal: 153 Wed May 8 09:00:29 2024 removing 6629579 relations and 4629579 ideals in 2000000 cliques Wed May 8 09:00:35 2024 commencing in-memory singleton removal Wed May 8 09:00:45 2024 begin with 77012143 relations and 71552036 unique ideals Wed May 8 09:01:45 2024 reduce to 76618568 relations and 66520786 ideals in 6 passes Wed May 8 09:01:45 2024 max relations containing the same ideal: 144 Wed May 8 09:02:46 2024 removing 6605343 relations and 4605343 ideals in 2000000 cliques Wed May 8 09:02:51 2024 commencing in-memory singleton removal Wed May 8 09:03:01 2024 begin with 70013225 relations and 66520786 unique ideals Wed May 8 09:04:07 2024 reduce to 69594439 relations and 61487204 ideals in 7 passes Wed May 8 09:04:07 2024 max relations containing the same ideal: 133 Wed May 8 09:05:00 2024 removing 6600679 relations and 4600679 ideals in 2000000 cliques Wed May 8 09:05:06 2024 commencing in-memory singleton removal Wed May 8 09:05:13 2024 begin with 62993760 relations and 61487204 unique ideals Wed May 8 09:06:10 2024 reduce to 62540610 relations and 56422163 ideals in 7 passes Wed May 8 09:06:10 2024 max relations containing the same ideal: 126 Wed May 8 09:07:01 2024 removing 6618922 relations and 4618922 ideals in 2000000 cliques Wed May 8 09:07:06 2024 commencing in-memory singleton removal Wed May 8 09:07:14 2024 begin with 55921688 relations and 56422163 unique ideals Wed May 8 09:08:12 2024 reduce to 55421436 relations and 51289327 ideals in 8 passes Wed May 8 09:08:12 2024 max relations containing the same ideal: 116 Wed May 8 09:08:58 2024 removing 6650588 relations and 4650588 ideals in 2000000 cliques Wed May 8 09:09:03 2024 commencing in-memory singleton removal Wed May 8 09:09:08 2024 begin with 48770848 relations and 51289327 unique ideals Wed May 8 09:09:59 2024 reduce to 48199057 relations and 46049614 ideals in 8 passes Wed May 8 09:09:59 2024 max relations containing the same ideal: 107 Wed May 8 09:10:33 2024 removing 4694709 relations and 3408105 ideals in 1286604 cliques Wed May 8 09:10:37 2024 commencing in-memory singleton removal Wed May 8 09:10:43 2024 begin with 43504348 relations and 46049614 unique ideals Wed May 8 09:11:21 2024 reduce to 43177228 relations and 42307042 ideals in 7 passes Wed May 8 09:11:21 2024 max relations containing the same ideal: 98 Wed May 8 09:12:05 2024 relations with 0 large ideals: 27529 Wed May 8 09:12:05 2024 relations with 1 large ideals: 8776 Wed May 8 09:12:05 2024 relations with 2 large ideals: 93512 Wed May 8 09:12:05 2024 relations with 3 large ideals: 695701 Wed May 8 09:12:05 2024 relations with 4 large ideals: 2820901 Wed May 8 09:12:05 2024 relations with 5 large ideals: 6924527 Wed May 8 09:12:05 2024 relations with 6 large ideals: 10739487 Wed May 8 09:12:05 2024 relations with 7+ large ideals: 21866795 Wed May 8 09:12:05 2024 commencing 2-way merge Wed May 8 09:12:48 2024 reduce to 28801865 relation sets and 27931679 unique ideals Wed May 8 09:12:48 2024 commencing full merge Wed May 8 09:31:24 2024 memory use: 3846.0 MB Wed May 8 09:31:29 2024 found 12887571 cycles, need 12879879 Wed May 8 09:31:37 2024 weight of 12879879 cycles is about 1648805843 (128.01/cycle) Wed May 8 09:31:37 2024 distribution of cycle lengths: Wed May 8 09:31:37 2024 1 relations: 503749 Wed May 8 09:31:37 2024 2 relations: 736420 Wed May 8 09:31:37 2024 3 relations: 876461 Wed May 8 09:31:37 2024 4 relations: 915559 Wed May 8 09:31:37 2024 5 relations: 936876 Wed May 8 09:31:37 2024 6 relations: 931354 Wed May 8 09:31:37 2024 7 relations: 914763 Wed May 8 09:31:37 2024 8 relations: 878700 Wed May 8 09:31:37 2024 9 relations: 827507 Wed May 8 09:31:37 2024 10+ relations: 5358490 Wed May 8 09:31:37 2024 heaviest cycle: 28 relations Wed May 8 09:31:42 2024 commencing cycle optimization Wed May 8 09:32:21 2024 start with 117779060 relations Wed May 8 09:38:37 2024 pruned 5901185 relations Wed May 8 09:38:37 2024 memory use: 3007.1 MB Wed May 8 09:38:37 2024 distribution of cycle lengths: Wed May 8 09:38:37 2024 1 relations: 503749 Wed May 8 09:38:37 2024 2 relations: 755539 Wed May 8 09:38:37 2024 3 relations: 915609 Wed May 8 09:38:37 2024 4 relations: 956382 Wed May 8 09:38:37 2024 5 relations: 987350 Wed May 8 09:38:37 2024 6 relations: 980202 Wed May 8 09:38:37 2024 7 relations: 965906 Wed May 8 09:38:37 2024 8 relations: 925042 Wed May 8 09:38:37 2024 9 relations: 870720 Wed May 8 09:38:37 2024 10+ relations: 5019380 Wed May 8 09:38:37 2024 heaviest cycle: 28 relations Wed May 8 09:39:15 2024 RelProcTime: 10437 Wed May 8 09:39:15 2024 elapsed time 02:53:59 Wed May 8 12:55:35 2024 Wed May 8 12:55:35 2024 Wed May 8 12:55:35 2024 Msieve v. 1.54 (SVN 1044M) Wed May 8 12:55:35 2024 random seeds: ef05bb63 5992c023 Wed May 8 12:55:35 2024 factoring 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (256 digits) Wed May 8 12:55:36 2024 no P-1/P+1/ECM available, skipping Wed May 8 12:55:36 2024 commencing number field sieve (256-digit input) Wed May 8 12:55:36 2024 R0: -1000000000000000000000000000000000000000000 Wed May 8 12:55:36 2024 R1: 1 Wed May 8 12:55:36 2024 A0: -17 Wed May 8 12:55:36 2024 A1: 0 Wed May 8 12:55:36 2024 A2: 0 Wed May 8 12:55:36 2024 A3: 0 Wed May 8 12:55:36 2024 A4: 0 Wed May 8 12:55:36 2024 A5: 0 Wed May 8 12:55:36 2024 A6: 26000 Wed May 8 12:55:36 2024 skew 1.00, size 7.030e-13, alpha -0.696, combined = 8.802e-14 rroots = 2 Wed May 8 12:55:36 2024 Wed May 8 12:55:36 2024 commencing linear algebra Wed May 8 12:55:37 2024 read 12879879 cycles Wed May 8 12:55:58 2024 cycles contain 42680597 unique relations Wed May 8 12:59:30 2024 read 42680597 relations Wed May 8 13:00:42 2024 using 20 quadratic characters above 4294917295 Wed May 8 13:03:24 2024 building initial matrix Wed May 8 13:12:10 2024 memory use: 5662.3 MB Wed May 8 13:12:15 2024 read 12879879 cycles Wed May 8 13:12:17 2024 matrix is 12879702 x 12879879 (6374.2 MB) with weight 1817578647 (141.12/col) Wed May 8 13:12:17 2024 sparse part has weight 1529269394 (118.73/col) Wed May 8 13:14:54 2024 filtering completed in 2 passes Wed May 8 13:14:57 2024 matrix is 12879633 x 12879806 (6374.2 MB) with weight 1817576152 (141.12/col) Wed May 8 13:14:57 2024 sparse part has weight 1529268611 (118.73/col) Wed May 8 13:15:40 2024 matrix starts at (0, 0) Wed May 8 13:15:41 2024 matrix is 12879633 x 12879806 (6374.2 MB) with weight 1817576152 (141.12/col) Wed May 8 13:15:41 2024 sparse part has weight 1529268611 (118.73/col) Wed May 8 13:15:41 2024 saving the first 240 matrix rows for later Wed May 8 13:15:44 2024 matrix includes 256 packed rows Wed May 8 13:15:49 2024 matrix is 12879393 x 12879806 (5858.9 MB) with weight 1400598657 (108.74/col) Wed May 8 13:15:49 2024 sparse part has weight 1329788398 (103.25/col) Wed May 8 13:15:49 2024 using block size 8192 and superblock size 147456 for processor cache size 6144 kB Wed May 8 13:16:28 2024 commencing Lanczos iteration (4 threads) Wed May 8 13:16:28 2024 memory use: 7911.8 MB Wed May 8 13:17:48 2024 linear algebra at 0.0%, ETA 158h40m Wed May 8 13:18:11 2024 checkpointing every 90000 dimensions Thu May 16 00:00:04 2024 lanczos halted after 50463 iterations (dim = 12879393) Thu May 16 00:00:57 2024 recovered 37 nontrivial dependencies Thu May 16 00:00:58 2024 BLanczosTime: 644722 Thu May 16 00:00:58 2024 Thu May 16 00:00:58 2024 commencing square root phase Thu May 16 00:00:58 2024 reading relations for dependency 1 Thu May 16 00:00:59 2024 read 6443275 cycles Thu May 16 00:01:11 2024 cycles contain 21345338 unique relations Thu May 16 00:03:10 2024 read 21345338 relations Thu May 16 00:04:38 2024 multiplying 21345338 relations Thu May 16 00:25:50 2024 multiply complete, coefficients have about 849.76 million bits Thu May 16 00:25:52 2024 initial square root is modulo 42036373 Thu May 16 00:48:28 2024 GCD is 1, no factor found Thu May 16 00:48:28 2024 reading relations for dependency 2 Thu May 16 00:48:29 2024 read 6438566 cycles Thu May 16 00:48:41 2024 cycles contain 21341282 unique relations Thu May 16 00:50:38 2024 read 21341282 relations Thu May 16 00:52:01 2024 multiplying 21341282 relations Thu May 16 01:13:09 2024 multiply complete, coefficients have about 849.59 million bits Thu May 16 01:13:11 2024 initial square root is modulo 41888131 Thu May 16 01:35:44 2024 sqrtTime: 5686 Thu May 16 01:35:44 2024 p107 factor: 13020212604036942513785648407566601080540558467637720334322378007178016691731523884139032869911748617171517 Thu May 16 01:35:44 2024 p150 factor: 221877244000853197261944317650053899170637364722462993121928052004181625536472948088292717182643697183704737338894013205205644651098053431402215476611 Thu May 16 01:35:44 2024 elapsed time 180:40:09
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