Wed Apr 16 10:37:58 2025 Wed Apr 16 10:37:58 2025 Wed Apr 16 10:37:58 2025 Msieve v. 1.54 (SVN unknown) Wed Apr 16 10:37:58 2025 random seeds: 022c3fce 36642705 Wed Apr 16 10:37:58 2025 factoring 397342278409716421632531275037569623933508679858873765982597547650624402224877460277452240576207884027493398306391068954660794185507429883494513711625704907245860364929266172676369304347 (186 digits) Wed Apr 16 10:37:59 2025 no P-1/P+1/ECM available, skipping Wed Apr 16 10:37:59 2025 commencing number field sieve (186-digit input) Wed Apr 16 10:37:59 2025 R0: 274698305032866066874108692690691128793 Wed Apr 16 10:37:59 2025 R1: -1 Wed Apr 16 10:37:59 2025 A0: 1 Wed Apr 16 10:37:59 2025 A1: 1 Wed Apr 16 10:37:59 2025 A2: 1 Wed Apr 16 10:37:59 2025 A3: 1 Wed Apr 16 10:37:59 2025 A4: 1 Wed Apr 16 10:37:59 2025 A5: 1 Wed Apr 16 10:37:59 2025 A6: 1 Wed Apr 16 10:37:59 2025 skew 1.35, size 2.025e-11, alpha 2.428, combined = 1.071e-12 rroots = 0 Wed Apr 16 10:37:59 2025 Wed Apr 16 10:37:59 2025 commencing relation filtering Wed Apr 16 10:37:59 2025 setting target matrix density to 100.0 Wed Apr 16 10:37:59 2025 estimated available RAM is 15954.4 MB Wed Apr 16 10:37:59 2025 commencing duplicate removal, pass 1 Wed Apr 16 10:50:59 2025 error -15 reading relation 77712927 Wed Apr 16 10:54:08 2025 skipped 1 relations with b > 2^32 Wed Apr 16 10:54:08 2025 skipped 1 relations with composite factors Wed Apr 16 10:54:08 2025 found 4218702 hash collisions in 98114288 relations Wed Apr 16 10:54:20 2025 added 2438534 free relations Wed Apr 16 10:54:20 2025 commencing duplicate removal, pass 2 Wed Apr 16 10:55:04 2025 found 0 duplicates and 100552822 unique relations Wed Apr 16 10:55:04 2025 memory use: 261.2 MB Wed Apr 16 10:55:04 2025 reading ideals above 73859072 Wed Apr 16 10:55:04 2025 commencing singleton removal, initial pass Wed Apr 16 11:07:28 2025 memory use: 2756.0 MB Wed Apr 16 11:07:28 2025 reading all ideals from disk Wed Apr 16 11:07:32 2025 memory use: 1792.3 MB Wed Apr 16 11:07:39 2025 commencing in-memory singleton removal Wed Apr 16 11:07:46 2025 begin with 100552822 relations and 83494053 unique ideals Wed Apr 16 11:08:59 2025 reduce to 67109847 relations and 46748059 ideals in 14 passes Wed Apr 16 11:08:59 2025 max relations containing the same ideal: 44 Wed Apr 16 11:09:07 2025 reading ideals above 720000 Wed Apr 16 11:09:07 2025 commencing singleton removal, initial pass Wed Apr 16 11:20:43 2025 memory use: 1506.0 MB Wed Apr 16 11:20:43 2025 reading all ideals from disk Wed Apr 16 11:20:49 2025 memory use: 2527.9 MB Wed Apr 16 11:21:01 2025 keeping 55076677 ideals with weight <= 200, target excess is 334125 Wed Apr 16 11:21:13 2025 commencing in-memory singleton removal Wed Apr 16 11:21:24 2025 begin with 67109850 relations and 55076677 unique ideals Wed Apr 16 11:21:44 2025 reduce to 67109708 relations and 55076528 ideals in 2 passes Wed Apr 16 11:21:44 2025 max relations containing the same ideal: 200 Wed Apr 16 11:22:42 2025 removing 8778133 relations and 6778133 ideals in 2000000 cliques Wed Apr 16 11:22:46 2025 commencing in-memory singleton removal Wed Apr 16 11:22:56 2025 begin with 58331575 relations and 55076528 unique ideals Wed Apr 16 11:24:02 2025 reduce to 57272102 relations and 47198118 ideals in 9 passes Wed Apr 16 11:24:02 2025 max relations containing the same ideal: 188 Wed Apr 16 11:24:44 2025 removing 7155668 relations and 5155668 ideals in 2000000 cliques Wed Apr 16 11:24:49 2025 commencing in-memory singleton removal Wed Apr 16 11:24:55 2025 begin with 50116434 relations and 47198118 unique ideals Wed Apr 16 11:25:49 2025 reduce to 49346635 relations and 41244835 ideals in 9 passes Wed Apr 16 11:25:49 2025 max relations containing the same ideal: 173 Wed Apr 16 11:26:22 2025 removing 6688812 relations and 4688812 ideals in 2000000 cliques Wed Apr 16 11:26:27 2025 commencing in-memory singleton removal Wed Apr 16 11:26:32 2025 begin with 42657823 relations and 41244835 unique ideals Wed Apr 16 11:27:11 2025 reduce to 41912444 relations and 35781681 ideals in 8 passes Wed Apr 16 11:27:11 2025 max relations containing the same ideal: 160 Wed Apr 16 11:27:42 2025 removing 6486764 relations and 4486764 ideals in 2000000 cliques Wed Apr 16 11:27:46 2025 commencing in-memory singleton removal Wed Apr 16 11:27:51 2025 begin with 35425680 relations and 35781681 unique ideals Wed Apr 16 11:28:20 2025 reduce to 34634411 relations and 30468090 ideals in 8 passes Wed Apr 16 11:28:20 2025 max relations containing the same ideal: 138 Wed Apr 16 11:28:46 2025 removing 6390665 relations and 4390665 ideals in 2000000 cliques Wed Apr 16 11:28:50 2025 commencing in-memory singleton removal Wed Apr 16 11:28:54 2025 begin with 28243746 relations and 30468090 unique ideals Wed Apr 16 11:29:29 2025 reduce to 27347197 relations and 25132949 ideals in 11 passes Wed Apr 16 11:29:29 2025 max relations containing the same ideal: 117 Wed Apr 16 11:29:48 2025 removing 5895528 relations and 4068866 ideals in 1826662 cliques Wed Apr 16 11:29:52 2025 commencing in-memory singleton removal Wed Apr 16 11:29:55 2025 begin with 21451669 relations and 25132949 unique ideals Wed Apr 16 11:30:15 2025 reduce to 20511001 relations and 20064846 ideals in 9 passes Wed Apr 16 11:30:15 2025 max relations containing the same ideal: 104 Wed Apr 16 11:30:30 2025 removing 381601 relations and 323032 ideals in 58569 cliques Wed Apr 16 11:30:31 2025 commencing in-memory singleton removal Wed Apr 16 11:30:33 2025 begin with 20129400 relations and 20064846 unique ideals Wed Apr 16 11:30:46 2025 reduce to 20123924 relations and 19736313 ideals in 6 passes Wed Apr 16 11:30:46 2025 max relations containing the same ideal: 103 Wed Apr 16 11:30:53 2025 relations with 0 large ideals: 24510 Wed Apr 16 11:30:53 2025 relations with 1 large ideals: 5888 Wed Apr 16 11:30:53 2025 relations with 2 large ideals: 40780 Wed Apr 16 11:30:53 2025 relations with 3 large ideals: 308969 Wed Apr 16 11:30:53 2025 relations with 4 large ideals: 1292327 Wed Apr 16 11:30:53 2025 relations with 5 large ideals: 3236060 Wed Apr 16 11:30:53 2025 relations with 6 large ideals: 5053166 Wed Apr 16 11:30:53 2025 relations with 7+ large ideals: 10162224 Wed Apr 16 11:30:53 2025 commencing 2-way merge Wed Apr 16 11:31:13 2025 reduce to 13170131 relation sets and 12782519 unique ideals Wed Apr 16 11:31:13 2025 commencing full merge Wed Apr 16 11:39:36 2025 memory use: 1798.7 MB Wed Apr 16 11:39:39 2025 found 6274386 cycles, need 6252719 Wed Apr 16 11:39:42 2025 weight of 6252719 cycles is about 625354679 (100.01/cycle) Wed Apr 16 11:39:42 2025 distribution of cycle lengths: Wed Apr 16 11:39:42 2025 1 relations: 398797 Wed Apr 16 11:39:42 2025 2 relations: 491989 Wed Apr 16 11:39:42 2025 3 relations: 532579 Wed Apr 16 11:39:42 2025 4 relations: 522924 Wed Apr 16 11:39:42 2025 5 relations: 514373 Wed Apr 16 11:39:42 2025 6 relations: 492889 Wed Apr 16 11:39:42 2025 7 relations: 460895 Wed Apr 16 11:39:42 2025 8 relations: 423771 Wed Apr 16 11:39:42 2025 9 relations: 384928 Wed Apr 16 11:39:42 2025 10+ relations: 2029574 Wed Apr 16 11:39:42 2025 heaviest cycle: 28 relations Wed Apr 16 11:39:45 2025 commencing cycle optimization Wed Apr 16 11:40:05 2025 start with 49300517 relations Wed Apr 16 11:42:54 2025 pruned 2001774 relations Wed Apr 16 11:42:54 2025 memory use: 1345.1 MB Wed Apr 16 11:42:54 2025 distribution of cycle lengths: Wed Apr 16 11:42:54 2025 1 relations: 398797 Wed Apr 16 11:42:54 2025 2 relations: 501946 Wed Apr 16 11:42:54 2025 3 relations: 552508 Wed Apr 16 11:42:54 2025 4 relations: 541790 Wed Apr 16 11:42:54 2025 5 relations: 537244 Wed Apr 16 11:42:54 2025 6 relations: 512874 Wed Apr 16 11:42:54 2025 7 relations: 480759 Wed Apr 16 11:42:54 2025 8 relations: 439352 Wed Apr 16 11:42:54 2025 9 relations: 396817 Wed Apr 16 11:42:54 2025 10+ relations: 1890632 Wed Apr 16 11:42:54 2025 heaviest cycle: 28 relations Wed Apr 16 11:43:17 2025 RelProcTime: 3918 Wed Apr 16 11:43:17 2025 elapsed time 01:05:19 Wed Apr 16 12:16:09 2025 Wed Apr 16 12:16:09 2025 Wed Apr 16 12:16:09 2025 Msieve v. 1.54 (SVN unknown) Wed Apr 16 12:16:09 2025 random seeds: ee11a430 cfdc1ddb Wed Apr 16 12:16:09 2025 factoring 397342278409716421632531275037569623933508679858873765982597547650624402224877460277452240576207884027493398306391068954660794185507429883494513711625704907245860364929266172676369304347 (186 digits) Wed Apr 16 12:16:10 2025 no P-1/P+1/ECM available, skipping Wed Apr 16 12:16:10 2025 commencing number field sieve (186-digit input) Wed Apr 16 12:16:10 2025 R0: 274698305032866066874108692690691128793 Wed Apr 16 12:16:10 2025 R1: -1 Wed Apr 16 12:16:10 2025 A0: 1 Wed Apr 16 12:16:10 2025 A1: 1 Wed Apr 16 12:16:10 2025 A2: 1 Wed Apr 16 12:16:10 2025 A3: 1 Wed Apr 16 12:16:10 2025 A4: 1 Wed Apr 16 12:16:10 2025 A5: 1 Wed Apr 16 12:16:10 2025 A6: 1 Wed Apr 16 12:16:10 2025 skew 1.35, size 2.025e-11, alpha 2.428, combined = 1.071e-12 rroots = 0 Wed Apr 16 12:16:10 2025 Wed Apr 16 12:16:10 2025 commencing linear algebra Wed Apr 16 12:16:10 2025 using VBITS=512 Wed Apr 16 12:16:11 2025 read 6252719 cycles Wed Apr 16 12:16:32 2025 cycles contain 19898131 unique relations Wed Apr 16 12:18:49 2025 read 19898131 relations Wed Apr 16 12:19:46 2025 using 20 quadratic characters above 4294917295 Wed Apr 16 12:22:08 2025 building initial matrix Wed Apr 16 12:28:16 2025 memory use: 2465.1 MB Wed Apr 16 12:28:20 2025 read 6252719 cycles Wed Apr 16 12:28:21 2025 matrix is 6252542 x 6252719 (2514.1 MB) with weight 718603107 (114.93/col) Wed Apr 16 12:28:21 2025 sparse part has weight 590268140 (94.40/col) Wed Apr 16 12:30:18 2025 filtering completed in 2 passes Wed Apr 16 12:30:20 2025 matrix is 6252283 x 6252427 (2514.0 MB) with weight 718594668 (114.93/col) Wed Apr 16 12:30:20 2025 sparse part has weight 590265686 (94.41/col) Wed Apr 16 12:30:46 2025 matrix starts at (0, 0) Wed Apr 16 12:30:47 2025 matrix is 6252283 x 6252427 (2514.0 MB) with weight 718594668 (114.93/col) Wed Apr 16 12:30:47 2025 sparse part has weight 590265686 (94.41/col) Wed Apr 16 12:30:47 2025 saving the first 496 matrix rows for later Wed Apr 16 12:30:50 2025 matrix includes 512 packed rows Wed Apr 16 12:30:56 2025 matrix is 6251787 x 6252427 (2403.3 MB) with weight 507347176 (81.14/col) Wed Apr 16 12:30:56 2025 sparse part has weight 479960027 (76.76/col) Wed Apr 16 12:30:58 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Apr 16 12:30:58 2025 selected card has CUDA arch 8.6 Wed Apr 16 12:32:43 2025 Wed Apr 16 12:32:43 2025 Wed Apr 16 12:32:43 2025 Msieve v. 1.54 (SVN unknown) Wed Apr 16 12:32:43 2025 random seeds: 56ecf5d7 c5c2f37e Wed Apr 16 12:32:43 2025 factoring 397342278409716421632531275037569623933508679858873765982597547650624402224877460277452240576207884027493398306391068954660794185507429883494513711625704907245860364929266172676369304347 (186 digits) Wed Apr 16 12:32:44 2025 no P-1/P+1/ECM available, skipping Wed Apr 16 12:32:44 2025 commencing number field sieve (186-digit input) Wed Apr 16 12:32:44 2025 R0: 274698305032866066874108692690691128793 Wed Apr 16 12:32:44 2025 R1: -1 Wed Apr 16 12:32:44 2025 A0: 1 Wed Apr 16 12:32:44 2025 A1: 1 Wed Apr 16 12:32:44 2025 A2: 1 Wed Apr 16 12:32:44 2025 A3: 1 Wed Apr 16 12:32:44 2025 A4: 1 Wed Apr 16 12:32:44 2025 A5: 1 Wed Apr 16 12:32:44 2025 A6: 1 Wed Apr 16 12:32:44 2025 skew 1.35, size 2.025e-11, alpha 2.428, combined = 1.071e-12 rroots = 0 Wed Apr 16 12:32:44 2025 Wed Apr 16 12:32:44 2025 commencing linear algebra Wed Apr 16 12:32:44 2025 using VBITS=512 Wed Apr 16 12:32:44 2025 skipping matrix build Wed Apr 16 12:32:50 2025 matrix starts at (0, 0) Wed Apr 16 12:32:52 2025 matrix is 6252283 x 6252427 (2514.0 MB) with weight 718594668 (114.93/col) Wed Apr 16 12:32:52 2025 sparse part has weight 590265686 (94.41/col) Wed Apr 16 12:32:52 2025 saving the first 496 matrix rows for later Wed Apr 16 12:32:55 2025 matrix includes 512 packed rows Wed Apr 16 12:33:03 2025 matrix is 6251787 x 6252427 (2403.3 MB) with weight 507347176 (81.14/col) Wed Apr 16 12:33:03 2025 sparse part has weight 479960027 (76.76/col) Wed Apr 16 12:33:04 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Apr 16 12:33:04 2025 selected card has CUDA arch 8.6 Wed Apr 16 12:34:05 2025 commencing Lanczos iteration Wed Apr 16 12:34:06 2025 memory use: 6810.2 MB Wed Apr 16 12:34:27 2025 linear algebra at 0.2%, ETA 2h22m Wed Apr 16 12:34:28 2025 checkpointing every 2600000 dimensions Wed Apr 16 15:10:06 2025 lanczos halted after 12230 iterations (dim = 6251787) Wed Apr 16 15:11:09 2025 recovered 39 nontrivial dependencies Wed Apr 16 15:11:09 2025 BLanczosTime: 9505 Wed Apr 16 15:11:09 2025 Wed Apr 16 15:11:09 2025 commencing square root phase Wed Apr 16 15:11:09 2025 handling dependencies 1 to 64 Wed Apr 16 15:11:09 2025 reading relations for dependency 1 Wed Apr 16 15:11:25 2025 read 3126078 cycles Wed Apr 16 15:11:30 2025 cycles contain 9948908 unique relations Wed Apr 16 15:12:12 2025 read 9948908 relations Wed Apr 16 15:12:49 2025 multiplying 9948908 relations Wed Apr 16 15:17:33 2025 multiply complete, coefficients have about 243.08 million bits Wed Apr 16 15:17:34 2025 initial square root is modulo 529060619 Wed Apr 16 15:22:48 2025 sqrtTime: 699 Wed Apr 16 15:22:48 2025 p68 factor: 40718619127935422191076421870046881195678128274242028373114309846997 Wed Apr 16 15:22:48 2025 p118 factor: 9758245414985492868071643182633843591982236660613742134230886952879629896194175927316834382454225515181888064471797551 Wed Apr 16 15:22:48 2025 elapsed time 02:50:05