Tue Feb 11 23:23:03 2025 Tue Feb 11 23:23:03 2025 Tue Feb 11 23:23:03 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Feb 11 23:23:03 2025 random seeds: 0e442412 1ba0e97f Tue Feb 11 23:23:03 2025 MPI process 0 of 1 Tue Feb 11 23:23:03 2025 Using 32 OpenMP threads Tue Feb 11 23:23:03 2025 factoring 2060163645356166484033056081407551036874816983427676021617052102284213084071412832673495140233491926789648928288693458658324929190656926475087523831246625567501021 (163 digits) Tue Feb 11 23:23:04 2025 searching for 15-digit factors Tue Feb 11 23:23:04 2025 commencing number field sieve (163-digit input) Tue Feb 11 23:23:04 2025 R0: -27107189279500071421843268594344 Tue Feb 11 23:23:04 2025 R1: 138696037814824379 Tue Feb 11 23:23:04 2025 A0: 168586702488538713240763083625016363439 Tue Feb 11 23:23:04 2025 A1: 2293338692842584416087254609623991 Tue Feb 11 23:23:04 2025 A2: 88953360737807249810329371 Tue Feb 11 23:23:04 2025 A3: -53842033102440761319 Tue Feb 11 23:23:04 2025 A4: 1232039943422 Tue Feb 11 23:23:04 2025 A5: 140760 Tue Feb 11 23:23:04 2025 skew 10641876.97, size 7.500e-16, alpha -6.875, combined = 9.621e-13 rroots = 3 Tue Feb 11 23:23:04 2025 Tue Feb 11 23:23:04 2025 commencing relation filtering Tue Feb 11 23:23:04 2025 setting target matrix density to 120.0 Tue Feb 11 23:23:04 2025 estimated available RAM is 257736.5 MB Tue Feb 11 23:23:04 2025 commencing duplicate removal, pass 1 Tue Feb 11 23:23:35 2025 error -1 reading relation 14052865 Tue Feb 11 23:24:27 2025 error -1 reading relation 33834571 Tue Feb 11 23:25:32 2025 error -1 reading relation 57892607 Tue Feb 11 23:25:45 2025 error -1 reading relation 62489898 Tue Feb 11 23:25:55 2025 error -1 reading relation 66192870 Tue Feb 11 23:29:37 2025 error -1 reading relation 148386508 Tue Feb 11 23:29:50 2025 error -1 reading relation 152831254 Tue Feb 11 23:31:03 2025 error -1 reading relation 179161396 Tue Feb 11 23:32:05 2025 error -1 reading relation 201752760 Tue Feb 11 23:32:26 2025 error -15 reading relation 209346391 Tue Feb 11 23:32:26 2025 error -1 reading relation 209346392 Tue Feb 11 23:32:39 2025 error -1 reading relation 214073947 Tue Feb 11 23:32:39 2025 error -1 reading relation 214120141 Tue Feb 11 23:33:19 2025 error -1 reading relation 228565784 Tue Feb 11 23:33:35 2025 error -1 reading relation 234227618 Tue Feb 11 23:33:44 2025 error -15 reading relation 237593369 Tue Feb 11 23:34:09 2025 error -1 reading relation 247194387 Tue Feb 11 23:34:16 2025 skipped 111 malformed relations Tue Feb 11 23:34:16 2025 found 47863987 hash collisions in 249339933 relations Tue Feb 11 23:34:46 2025 added 122021 free relations Tue Feb 11 23:34:46 2025 commencing duplicate removal, pass 2 Tue Feb 11 23:41:30 2025 found 46638654 duplicates and 202823300 unique relations Tue Feb 11 23:41:30 2025 memory use: 1449.5 MB Tue Feb 11 23:41:30 2025 reading ideals above 720000 Tue Feb 11 23:41:30 2025 commencing singleton removal, initial pass Tue Feb 11 23:58:57 2025 memory use: 5512.0 MB Tue Feb 11 23:58:57 2025 reading all ideals from disk Tue Feb 11 23:59:02 2025 memory use: 9187.6 MB Tue Feb 11 23:59:34 2025 keeping 210479966 ideals with weight <= 200, target excess is 993306 Wed Feb 12 00:00:12 2025 commencing in-memory singleton removal Wed Feb 12 00:00:16 2025 begin with 202823300 relations and 210479966 unique ideals Wed Feb 12 00:00:34 2025 reduce to 88613264 relations and 78679240 ideals in 20 passes Wed Feb 12 00:00:34 2025 max relations containing the same ideal: 121 Wed Feb 12 00:01:21 2025 removing 8385498 relations and 7385498 ideals in 1000000 cliques Wed Feb 12 00:01:25 2025 commencing in-memory singleton removal Wed Feb 12 00:01:27 2025 begin with 80227766 relations and 78679240 unique ideals Wed Feb 12 00:01:34 2025 reduce to 79585758 relations and 70641808 ideals in 12 passes Wed Feb 12 00:01:34 2025 max relations containing the same ideal: 110 Wed Feb 12 00:02:15 2025 removing 6243553 relations and 5243553 ideals in 1000000 cliques Wed Feb 12 00:02:19 2025 commencing in-memory singleton removal Wed Feb 12 00:02:20 2025 begin with 73342205 relations and 70641808 unique ideals Wed Feb 12 00:02:26 2025 reduce to 72931999 relations and 64982473 ideals in 9 passes Wed Feb 12 00:02:26 2025 max relations containing the same ideal: 104 Wed Feb 12 00:03:12 2025 removing 5583138 relations and 4583138 ideals in 1000000 cliques Wed Feb 12 00:03:15 2025 commencing in-memory singleton removal Wed Feb 12 00:03:16 2025 begin with 67348861 relations and 64982473 unique ideals Wed Feb 12 00:03:21 2025 reduce to 66987419 relations and 60033024 ideals in 9 passes Wed Feb 12 00:03:21 2025 max relations containing the same ideal: 100 Wed Feb 12 00:04:00 2025 removing 5241175 relations and 4241175 ideals in 1000000 cliques Wed Feb 12 00:04:03 2025 commencing in-memory singleton removal Wed Feb 12 00:04:05 2025 begin with 61746244 relations and 60033024 unique ideals Wed Feb 12 00:04:11 2025 reduce to 61397774 relations and 55438426 ideals in 9 passes Wed Feb 12 00:04:11 2025 max relations containing the same ideal: 93 Wed Feb 12 00:04:54 2025 removing 5040748 relations and 4040748 ideals in 1000000 cliques Wed Feb 12 00:04:57 2025 commencing in-memory singleton removal Wed Feb 12 00:04:58 2025 begin with 56357026 relations and 55438426 unique ideals Wed Feb 12 00:05:02 2025 reduce to 56005200 relations and 51040645 ideals in 9 passes Wed Feb 12 00:05:02 2025 max relations containing the same ideal: 88 Wed Feb 12 00:05:41 2025 removing 4921757 relations and 3921757 ideals in 1000000 cliques Wed Feb 12 00:05:44 2025 commencing in-memory singleton removal Wed Feb 12 00:05:45 2025 begin with 51083443 relations and 51040645 unique ideals Wed Feb 12 00:05:49 2025 reduce to 50712454 relations and 46741980 ideals in 9 passes Wed Feb 12 00:05:49 2025 max relations containing the same ideal: 83 Wed Feb 12 00:06:22 2025 removing 4853319 relations and 3853319 ideals in 1000000 cliques Wed Feb 12 00:06:26 2025 commencing in-memory singleton removal Wed Feb 12 00:06:27 2025 begin with 45859135 relations and 46741980 unique ideals Wed Feb 12 00:06:32 2025 reduce to 45455313 relations and 42477754 ideals in 10 passes Wed Feb 12 00:06:32 2025 max relations containing the same ideal: 78 Wed Feb 12 00:07:01 2025 removing 4839552 relations and 3839552 ideals in 1000000 cliques Wed Feb 12 00:07:04 2025 commencing in-memory singleton removal Wed Feb 12 00:07:04 2025 begin with 40615761 relations and 42477754 unique ideals Wed Feb 12 00:07:07 2025 reduce to 40160411 relations and 38174106 ideals in 9 passes Wed Feb 12 00:07:07 2025 max relations containing the same ideal: 75 Wed Feb 12 00:07:32 2025 removing 4221429 relations and 3387359 ideals in 834070 cliques Wed Feb 12 00:07:34 2025 commencing in-memory singleton removal Wed Feb 12 00:07:35 2025 begin with 35938982 relations and 38174106 unique ideals Wed Feb 12 00:07:37 2025 reduce to 35547856 relations and 34388245 ideals in 9 passes Wed Feb 12 00:07:37 2025 max relations containing the same ideal: 65 Wed Feb 12 00:08:04 2025 relations with 0 large ideals: 3429 Wed Feb 12 00:08:04 2025 relations with 1 large ideals: 33631 Wed Feb 12 00:08:04 2025 relations with 2 large ideals: 417734 Wed Feb 12 00:08:04 2025 relations with 3 large ideals: 2205090 Wed Feb 12 00:08:04 2025 relations with 4 large ideals: 6160065 Wed Feb 12 00:08:04 2025 relations with 5 large ideals: 9928013 Wed Feb 12 00:08:04 2025 relations with 6 large ideals: 9506500 Wed Feb 12 00:08:04 2025 relations with 7+ large ideals: 7293394 Wed Feb 12 00:08:04 2025 commencing 2-way merge Wed Feb 12 00:08:35 2025 reduce to 20636362 relation sets and 19476751 unique ideals Wed Feb 12 00:08:35 2025 commencing full merge Wed Feb 12 00:18:23 2025 memory use: 2125.9 MB Wed Feb 12 00:18:25 2025 found 8700612 cycles, need 8676951 Wed Feb 12 00:18:29 2025 weight of 8676951 cycles is about 1041370097 (120.02/cycle) Wed Feb 12 00:18:29 2025 distribution of cycle lengths: Wed Feb 12 00:18:29 2025 1 relations: 701714 Wed Feb 12 00:18:29 2025 2 relations: 595456 Wed Feb 12 00:18:29 2025 3 relations: 600688 Wed Feb 12 00:18:29 2025 4 relations: 587409 Wed Feb 12 00:18:29 2025 5 relations: 583651 Wed Feb 12 00:18:29 2025 6 relations: 562920 Wed Feb 12 00:18:29 2025 7 relations: 534675 Wed Feb 12 00:18:29 2025 8 relations: 513312 Wed Feb 12 00:18:29 2025 9 relations: 483989 Wed Feb 12 00:18:29 2025 10+ relations: 3513137 Wed Feb 12 00:18:29 2025 heaviest cycle: 28 relations Wed Feb 12 00:18:33 2025 commencing cycle optimization Wed Feb 12 00:19:04 2025 start with 77620889 relations Wed Feb 12 00:23:15 2025 pruned 2706531 relations Wed Feb 12 00:23:15 2025 memory use: 2215.4 MB Wed Feb 12 00:23:15 2025 distribution of cycle lengths: Wed Feb 12 00:23:15 2025 1 relations: 701714 Wed Feb 12 00:23:15 2025 2 relations: 610414 Wed Feb 12 00:23:15 2025 3 relations: 622991 Wed Feb 12 00:23:15 2025 4 relations: 606750 Wed Feb 12 00:23:15 2025 5 relations: 605029 Wed Feb 12 00:23:15 2025 6 relations: 581794 Wed Feb 12 00:23:15 2025 7 relations: 554227 Wed Feb 12 00:23:15 2025 8 relations: 527954 Wed Feb 12 00:23:15 2025 9 relations: 498326 Wed Feb 12 00:23:15 2025 10+ relations: 3367752 Wed Feb 12 00:23:15 2025 heaviest cycle: 28 relations Wed Feb 12 00:23:37 2025 RelProcTime: 3633 Wed Feb 12 00:23:37 2025 Wed Feb 12 00:23:37 2025 commencing linear algebra Wed Feb 12 00:23:37 2025 using VBITS=256 Wed Feb 12 00:23:37 2025 stopping after matrix build Wed Feb 12 00:23:37 2025 initialized process (0,0) of 1 x 1 grid Wed Feb 12 00:23:39 2025 read 8676951 cycles Wed Feb 12 00:24:07 2025 cycles contain 34512500 unique relations Wed Feb 12 00:28:52 2025 read 34512500 relations Wed Feb 12 00:28:56 2025 using 20 quadratic characters above 4294917295 Wed Feb 12 00:29:02 2025 building initial matrix Wed Feb 12 00:38:37 2025 memory use: 4529.5 MB Wed Feb 12 00:38:47 2025 read 8676951 cycles Wed Feb 12 00:38:49 2025 matrix is 8676773 x 8676951 (4123.5 MB) with weight 1249662439 (144.02/col) Wed Feb 12 00:38:49 2025 sparse part has weight 976823698 (112.58/col) Wed Feb 12 00:42:02 2025 filtering completed in 2 passes Wed Feb 12 00:42:05 2025 matrix is 8675892 x 8676066 (4123.4 MB) with weight 1249618050 (144.03/col) Wed Feb 12 00:42:05 2025 sparse part has weight 976809446 (112.59/col) Wed Feb 12 00:43:08 2025 BLanczosTime: 1171 Wed Feb 12 00:43:08 2025 elapsed time 01:20:05 Wed Feb 12 08:46:58 2025 Wed Feb 12 08:46:58 2025 Wed Feb 12 08:46:58 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Feb 12 08:46:58 2025 random seeds: 6356a298 466ab66e Wed Feb 12 08:46:58 2025 Using 96 OpenMP threads Wed Feb 12 08:46:58 2025 factoring 2060163645356166484033056081407551036874816983427676021617052102284213084071412832673495140233491926789648928288693458658324929190656926475087523831246625567501021 (163 digits) Wed Feb 12 08:46:58 2025 searching for 15-digit factors Wed Feb 12 08:46:58 2025 commencing number field sieve (163-digit input) Wed Feb 12 08:46:58 2025 R0: -27107189279500071421843268594344 Wed Feb 12 08:46:58 2025 R1: 138696037814824379 Wed Feb 12 08:46:58 2025 A0: 168586702488538713240763083625016363439 Wed Feb 12 08:46:58 2025 A1: 2293338692842584416087254609623991 Wed Feb 12 08:46:58 2025 A2: 88953360737807249810329371 Wed Feb 12 08:46:58 2025 A3: -53842033102440761319 Wed Feb 12 08:46:58 2025 A4: 1232039943422 Wed Feb 12 08:46:58 2025 A5: 140760 Wed Feb 12 08:46:58 2025 skew 10641876.97, size 7.500e-16, alpha -6.875, combined = 9.621e-13 rroots = 3 Wed Feb 12 08:46:58 2025 Wed Feb 12 08:46:58 2025 commencing linear algebra Wed Feb 12 08:46:58 2025 using VBITS=256 Wed Feb 12 08:46:58 2025 skipping matrix build Wed Feb 12 08:47:01 2025 matrix starts at (0, 0) Wed Feb 12 08:47:02 2025 matrix is 8675892 x 8676066 (4123.4 MB) with weight 1249618050 (144.03/col) Wed Feb 12 08:47:02 2025 sparse part has weight 976809446 (112.59/col) Wed Feb 12 08:47:02 2025 saving the first 240 matrix rows for later Wed Feb 12 08:47:03 2025 matrix includes 256 packed rows Wed Feb 12 08:47:06 2025 matrix is 8675652 x 8676066 (3703.9 MB) with weight 890072569 (102.59/col) Wed Feb 12 08:47:06 2025 sparse part has weight 832139748 (95.91/col) Wed Feb 12 08:47:06 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Feb 12 08:47:23 2025 commencing Lanczos iteration (96 threads) Wed Feb 12 08:47:23 2025 memory use: 5081.2 MB Wed Feb 12 08:48:25 2025 linear algebra at 0.4%, ETA 4h47m Wed Feb 12 08:49:52 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions Wed Feb 12 13:18:00 2025 lanczos halted after 33992 iterations (dim = 8675652) Wed Feb 12 13:18:27 2025 recovered 31 nontrivial dependencies Wed Feb 12 13:18:28 2025 BLanczosTime: 16290 Wed Feb 12 13:18:28 2025 Wed Feb 12 13:18:28 2025 commencing square root phase Wed Feb 12 13:18:28 2025 handling dependencies 1 to 64 Wed Feb 12 13:18:28 2025 reading relations for dependency 1 Wed Feb 12 13:18:29 2025 read 4337508 cycles Wed Feb 12 13:18:36 2025 cycles contain 17255804 unique relations Wed Feb 12 13:22:03 2025 read 17255804 relations Wed Feb 12 13:22:54 2025 multiplying 17255804 relations Wed Feb 12 13:30:17 2025 multiply complete, coefficients have about 921.61 million bits Wed Feb 12 13:30:19 2025 initial square root is modulo 185438959 Wed Feb 12 13:35:07 2025 sqrtTime: 999 Wed Feb 12 13:35:07 2025 p72 factor: 233323018665004129918488480346609779626892635105954032674527830452409121 Wed Feb 12 13:35:07 2025 p91 factor: 8829663087438737249221866078274144438091622949874063439078734787577371036539658521625123901 Wed Feb 12 13:35:07 2025 elapsed time 04:48:09