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Thu Sep 30 02:44:15 2021 Thu Sep 30 02:44:15 2021 Thu Sep 30 02:44:15 2021 Msieve v. 1.54 (SVN unknown) Thu Sep 30 02:44:15 2021 random seeds: 2ab776b5 bfe9d6b2 Thu Sep 30 02:44:15 2021 factoring 63407486938098083528833534399645853139242781275646406953058159332286959205405224344419854671624379582450458211740775880036159262271240586726278579301974857611 (158 digits) Thu Sep 30 02:44:16 2021 no P-1/P+1/ECM available, skipping Thu Sep 30 02:44:16 2021 commencing number field sieve (158-digit input) Thu Sep 30 02:44:16 2021 R0: 8979451204847333756522176358154797473374023718676909 Thu Sep 30 02:44:16 2021 R1: -1 Thu Sep 30 02:44:16 2021 A0: 1 Thu Sep 30 02:44:16 2021 A1: 1 Thu Sep 30 02:44:16 2021 A2: 1 Thu Sep 30 02:44:16 2021 A3: 1 Thu Sep 30 02:44:16 2021 A4: 1 Thu Sep 30 02:44:16 2021 skew 1.00, size 3.386e-21, alpha 1.694, combined = 1.146e-12 rroots = 0 Thu Sep 30 02:44:16 2021 Thu Sep 30 02:44:16 2021 commencing relation filtering Thu Sep 30 02:44:16 2021 setting target matrix density to 100.0 Thu Sep 30 02:44:16 2021 estimated available RAM is 515600.8 MB Thu Sep 30 02:44:16 2021 commencing duplicate removal, pass 1 Thu Sep 30 02:54:02 2021 skipped 81 relations with b > 2^32 Thu Sep 30 02:54:02 2021 skipped 28 relations with composite factors Thu Sep 30 02:54:02 2021 found 21819840 hash collisions in 116607730 relations Thu Sep 30 02:54:10 2021 added 3657698 free relations Thu Sep 30 02:54:10 2021 commencing duplicate removal, pass 2 Thu Sep 30 02:55:46 2021 found 21474229 duplicates and 98791199 unique relations Thu Sep 30 02:55:46 2021 memory use: 660.8 MB Thu Sep 30 02:55:47 2021 reading ideals above 720000 Thu Sep 30 02:55:47 2021 commencing singleton removal, initial pass Thu Sep 30 03:04:08 2021 memory use: 2756.0 MB Thu Sep 30 03:04:08 2021 reading all ideals from disk Thu Sep 30 03:04:09 2021 memory use: 3675.1 MB Thu Sep 30 03:04:12 2021 keeping 88786427 ideals with weight <= 200, target excess is 490476 Thu Sep 30 03:04:16 2021 commencing in-memory singleton removal Thu Sep 30 03:04:19 2021 begin with 98791199 relations and 88786427 unique ideals Thu Sep 30 03:04:48 2021 reduce to 66407302 relations and 53211287 ideals in 13 passes Thu Sep 30 03:04:48 2021 max relations containing the same ideal: 164 Thu Sep 30 03:05:03 2021 removing 8437275 relations and 6437275 ideals in 2000000 cliques Thu Sep 30 03:05:05 2021 commencing in-memory singleton removal Thu Sep 30 03:05:06 2021 begin with 57970027 relations and 53211287 unique ideals Thu Sep 30 03:05:21 2021 reduce to 57018036 relations and 45784818 ideals in 8 passes Thu Sep 30 03:05:21 2021 max relations containing the same ideal: 150 Thu Sep 30 03:05:33 2021 removing 6790813 relations and 4790813 ideals in 2000000 cliques Thu Sep 30 03:05:35 2021 commencing in-memory singleton removal Thu Sep 30 03:05:37 2021 begin with 50227223 relations and 45784818 unique ideals Thu Sep 30 03:05:49 2021 reduce to 49532739 relations and 40274303 ideals in 8 passes Thu Sep 30 03:05:49 2021 max relations containing the same ideal: 136 Thu Sep 30 03:06:00 2021 removing 6367033 relations and 4367033 ideals in 2000000 cliques Thu Sep 30 03:06:02 2021 commencing in-memory singleton removal Thu Sep 30 03:06:03 2021 begin with 43165706 relations and 40274303 unique ideals Thu Sep 30 03:06:12 2021 reduce to 42499840 relations and 35215637 ideals in 7 passes Thu Sep 30 03:06:12 2021 max relations containing the same ideal: 123 Thu Sep 30 03:06:22 2021 removing 6186726 relations and 4186726 ideals in 2000000 cliques Thu Sep 30 03:06:24 2021 commencing in-memory singleton removal Thu Sep 30 03:06:25 2021 begin with 36313114 relations and 35215637 unique ideals Thu Sep 30 03:06:33 2021 reduce to 35603860 relations and 30288632 ideals in 7 passes Thu Sep 30 03:06:33 2021 max relations containing the same ideal: 109 Thu Sep 30 03:06:41 2021 removing 6121941 relations and 4121941 ideals in 2000000 cliques Thu Sep 30 03:06:43 2021 commencing in-memory singleton removal Thu Sep 30 03:06:43 2021 begin with 29481919 relations and 30288632 unique ideals Thu Sep 30 03:06:50 2021 reduce to 28675082 relations and 25318208 ideals in 7 passes Thu Sep 30 03:06:50 2021 max relations containing the same ideal: 94 Thu Sep 30 03:06:57 2021 removing 6121169 relations and 4121169 ideals in 2000000 cliques Thu Sep 30 03:06:58 2021 commencing in-memory singleton removal Thu Sep 30 03:06:59 2021 begin with 22553913 relations and 25318208 unique ideals Thu Sep 30 03:07:04 2021 reduce to 21565752 relations and 20145238 ideals in 9 passes Thu Sep 30 03:07:04 2021 max relations containing the same ideal: 76 Thu Sep 30 03:07:10 2021 removing 3183753 relations and 2332192 ideals in 851561 cliques Thu Sep 30 03:07:11 2021 commencing in-memory singleton removal Thu Sep 30 03:07:11 2021 begin with 18381999 relations and 20145238 unique ideals Thu Sep 30 03:07:16 2021 reduce to 18009250 relations and 17426418 ideals in 8 passes Thu Sep 30 03:07:16 2021 max relations containing the same ideal: 66 Thu Sep 30 03:07:21 2021 removing 103741 relations and 89862 ideals in 13879 cliques Thu Sep 30 03:07:21 2021 commencing in-memory singleton removal Thu Sep 30 03:07:21 2021 begin with 17905509 relations and 17426418 unique ideals Thu Sep 30 03:07:23 2021 reduce to 17905176 relations and 17336223 ideals in 4 passes Thu Sep 30 03:07:23 2021 max relations containing the same ideal: 66 Thu Sep 30 03:07:26 2021 relations with 0 large ideals: 39048 Thu Sep 30 03:07:26 2021 relations with 1 large ideals: 8195 Thu Sep 30 03:07:26 2021 relations with 2 large ideals: 97790 Thu Sep 30 03:07:26 2021 relations with 3 large ideals: 610483 Thu Sep 30 03:07:26 2021 relations with 4 large ideals: 2079646 Thu Sep 30 03:07:26 2021 relations with 5 large ideals: 4739336 Thu Sep 30 03:07:26 2021 relations with 6 large ideals: 4804919 Thu Sep 30 03:07:26 2021 relations with 7+ large ideals: 5525759 Thu Sep 30 03:07:26 2021 commencing 2-way merge Thu Sep 30 03:07:31 2021 reduce to 11689447 relation sets and 11120494 unique ideals Thu Sep 30 03:07:31 2021 commencing full merge Thu Sep 30 03:10:03 2021 memory use: 1407.5 MB Thu Sep 30 03:10:04 2021 found 5442197 cycles, need 5398694 Thu Sep 30 03:10:05 2021 weight of 5398694 cycles is about 539922594 (100.01/cycle) Thu Sep 30 03:10:05 2021 distribution of cycle lengths: Thu Sep 30 03:10:05 2021 1 relations: 313013 Thu Sep 30 03:10:05 2021 2 relations: 381726 Thu Sep 30 03:10:05 2021 3 relations: 414196 Thu Sep 30 03:10:05 2021 4 relations: 417390 Thu Sep 30 03:10:05 2021 5 relations: 415605 Thu Sep 30 03:10:05 2021 6 relations: 408035 Thu Sep 30 03:10:05 2021 7 relations: 389232 Thu Sep 30 03:10:05 2021 8 relations: 367663 Thu Sep 30 03:10:05 2021 9 relations: 340881 Thu Sep 30 03:10:05 2021 10+ relations: 1950953 Thu Sep 30 03:10:05 2021 heaviest cycle: 28 relations Thu Sep 30 03:10:06 2021 commencing cycle optimization Thu Sep 30 03:10:12 2021 start with 44844412 relations Thu Sep 30 03:11:12 2021 pruned 1943897 relations Thu Sep 30 03:11:12 2021 memory use: 1200.2 MB Thu Sep 30 03:11:12 2021 distribution of cycle lengths: Thu Sep 30 03:11:12 2021 1 relations: 313013 Thu Sep 30 03:11:12 2021 2 relations: 389467 Thu Sep 30 03:11:12 2021 3 relations: 430794 Thu Sep 30 03:11:12 2021 4 relations: 434124 Thu Sep 30 03:11:12 2021 5 relations: 436296 Thu Sep 30 03:11:12 2021 6 relations: 426539 Thu Sep 30 03:11:12 2021 7 relations: 409110 Thu Sep 30 03:11:12 2021 8 relations: 383522 Thu Sep 30 03:11:12 2021 9 relations: 354945 Thu Sep 30 03:11:12 2021 10+ relations: 1820884 Thu Sep 30 03:11:12 2021 heaviest cycle: 28 relations Thu Sep 30 03:11:18 2021 RelProcTime: 1622 Thu Sep 30 03:11:19 2021 Thu Sep 30 03:11:19 2021 commencing linear algebra Thu Sep 30 03:11:19 2021 using VBITS=384 Thu Sep 30 03:11:19 2021 read 5398694 cycles Thu Sep 30 03:11:25 2021 cycles contain 17571212 unique relations Thu Sep 30 03:13:24 2021 read 17571212 relations Thu Sep 30 03:13:42 2021 using 20 quadratic characters above 4294917295 Thu Sep 30 03:14:30 2021 building initial matrix Thu Sep 30 03:16:22 2021 memory use: 2193.8 MB Thu Sep 30 03:16:23 2021 read 5398694 cycles Thu Sep 30 03:16:24 2021 matrix is 5398517 x 5398694 (2171.5 MB) with weight 625293695 (115.82/col) Thu Sep 30 03:16:24 2021 sparse part has weight 509849163 (94.44/col) Thu Sep 30 03:16:57 2021 filtering completed in 2 passes Thu Sep 30 03:16:58 2021 matrix is 5398088 x 5398234 (2171.4 MB) with weight 625277829 (115.83/col) Thu Sep 30 03:16:58 2021 sparse part has weight 509842927 (94.45/col) Thu Sep 30 03:17:07 2021 matrix starts at (0, 0) Thu Sep 30 03:17:07 2021 matrix is 5398088 x 5398234 (2171.4 MB) with weight 625277829 (115.83/col) Thu Sep 30 03:17:07 2021 sparse part has weight 509842927 (94.45/col) Thu Sep 30 03:17:07 2021 saving the first 368 matrix rows for later Thu Sep 30 03:17:08 2021 matrix includes 384 packed rows Thu Sep 30 03:17:10 2021 matrix is 5397720 x 5398234 (2025.4 MB) with weight 447470816 (82.89/col) Thu Sep 30 03:17:10 2021 sparse part has weight 422990346 (78.36/col) Thu Sep 30 03:17:10 2021 using GPU 0 (Tesla V100-PCIE-32GB) Thu Sep 30 03:17:10 2021 selected card has CUDA arch 7.0 Thu Sep 30 03:17:27 2021 commencing Lanczos iteration Thu Sep 30 03:17:27 2021 memory use: 5245.3 MB Thu Sep 30 03:17:29 2021 linear algebra at 0.0%, ETA 1h18m Thu Sep 30 03:17:30 2021 checkpointing every 5060000 dimensions Thu Sep 30 04:17:46 2021 lanczos halted after 14086 iterations (dim = 5397718) Thu Sep 30 04:18:13 2021 recovered 37 nontrivial dependencies Thu Sep 30 04:18:13 2021 BLanczosTime: 4014 Thu Sep 30 04:18:13 2021 Thu Sep 30 04:18:13 2021 commencing square root phase Thu Sep 30 04:18:13 2021 handling dependencies 1 to 64 Thu Sep 30 04:18:13 2021 reading relations for dependency 1 Thu Sep 30 04:18:14 2021 read 2698136 cycles Thu Sep 30 04:18:17 2021 cycles contain 8783098 unique relations Thu Sep 30 04:19:50 2021 read 8783098 relations Thu Sep 30 04:20:10 2021 multiplying 8783098 relations Thu Sep 30 04:21:48 2021 multiply complete, coefficients have about 219.30 million bits Thu Sep 30 04:21:48 2021 initial square root is modulo 74163013 Thu Sep 30 04:23:57 2021 sqrtTime: 344 Thu Sep 30 04:23:57 2021 p72 factor: 140307213156261471887961510764522394098707144301545414140415897461618091 Thu Sep 30 04:23:57 2021 p87 factor: 451918939245700539346142622476661748522904371677298843165240793792767818975596784354721 Thu Sep 30 04:23:57 2021 elapsed time 01:39:42
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