Sun Sep 18 14:11:21 2022 Sun Sep 18 14:11:21 2022 Sun Sep 18 14:11:21 2022 Msieve v. 1.54 (SVN unknown) Sun Sep 18 14:11:21 2022 random seeds: 0ad48077 b8a0d12e Sun Sep 18 14:11:21 2022 MPI process 0 of 1 Sun Sep 18 14:11:21 2022 factoring 44141508454313420747070196915364630884603889881981530090783656646857413252920901811048468944811475297911739998251017681978752056318783432229362070220285030013 (158 digits) Sun Sep 18 14:11:21 2022 no P-1/P+1/ECM available, skipping Sun Sep 18 14:11:21 2022 commencing number field sieve (158-digit input) Sun Sep 18 14:11:21 2022 R0: -2612781178353643499711022571845 Sun Sep 18 14:11:21 2022 R1: 1025397833996801 Sun Sep 18 14:11:21 2022 A0: 38327710393977929623813558674801357248 Sun Sep 18 14:11:21 2022 A1: 179776587409857003771993638749672 Sun Sep 18 14:11:21 2022 A2: -238798882138923031915284428 Sun Sep 18 14:11:21 2022 A3: 36996503861025647630 Sun Sep 18 14:11:21 2022 A4: 9670817066883 Sun Sep 18 14:11:21 2022 A5: 362520 Sun Sep 18 14:11:21 2022 skew 4715738.53, size 2.063e-15, alpha -7.080, combined = 1.686e-12 rroots = 5 Sun Sep 18 14:11:21 2022 Sun Sep 18 14:11:21 2022 commencing relation filtering Sun Sep 18 14:11:21 2022 setting target matrix density to 120.0 Sun Sep 18 14:11:21 2022 estimated available RAM is 257667.4 MB Sun Sep 18 14:11:21 2022 commencing duplicate removal, pass 1 Sun Sep 18 14:12:12 2022 skipped 18 relations with composite factors Sun Sep 18 14:12:12 2022 found 5357527 hash collisions in 110954843 relations Sun Sep 18 14:12:34 2022 added 122267 free relations Sun Sep 18 14:12:34 2022 commencing duplicate removal, pass 2 Sun Sep 18 14:12:54 2022 found 0 duplicates and 111077110 unique relations Sun Sep 18 14:12:54 2022 memory use: 378.4 MB Sun Sep 18 14:12:54 2022 reading ideals above 720000 Sun Sep 18 14:12:54 2022 commencing singleton removal, initial pass Sun Sep 18 14:15:38 2022 memory use: 2756.0 MB Sun Sep 18 14:15:38 2022 reading all ideals from disk Sun Sep 18 14:15:39 2022 memory use: 4952.3 MB Sun Sep 18 14:15:43 2022 keeping 92051904 ideals with weight <= 200, target excess is 577101 Sun Sep 18 14:15:48 2022 commencing in-memory singleton removal Sun Sep 18 14:15:49 2022 begin with 111077110 relations and 92051904 unique ideals Sun Sep 18 14:15:54 2022 reduce to 79502163 relations and 57786421 ideals in 12 passes Sun Sep 18 14:15:54 2022 max relations containing the same ideal: 173 Sun Sep 18 14:16:09 2022 removing 7893507 relations and 5893507 ideals in 2000000 cliques Sun Sep 18 14:16:11 2022 commencing in-memory singleton removal Sun Sep 18 14:16:12 2022 begin with 71608656 relations and 57786421 unique ideals Sun Sep 18 14:16:14 2022 reduce to 70989765 relations and 51254846 ideals in 8 passes Sun Sep 18 14:16:14 2022 max relations containing the same ideal: 166 Sun Sep 18 14:16:27 2022 removing 6272871 relations and 4272871 ideals in 2000000 cliques Sun Sep 18 14:16:29 2022 commencing in-memory singleton removal Sun Sep 18 14:16:30 2022 begin with 64716894 relations and 51254846 unique ideals Sun Sep 18 14:16:31 2022 reduce to 64295891 relations and 46549253 ideals in 7 passes Sun Sep 18 14:16:31 2022 max relations containing the same ideal: 153 Sun Sep 18 14:16:44 2022 removing 5849886 relations and 3849886 ideals in 2000000 cliques Sun Sep 18 14:16:46 2022 commencing in-memory singleton removal Sun Sep 18 14:16:46 2022 begin with 58446005 relations and 46549253 unique ideals Sun Sep 18 14:16:48 2022 reduce to 58074670 relations and 42317421 ideals in 7 passes Sun Sep 18 14:16:48 2022 max relations containing the same ideal: 144 Sun Sep 18 14:16:59 2022 removing 5627047 relations and 3627047 ideals in 2000000 cliques Sun Sep 18 14:17:01 2022 commencing in-memory singleton removal Sun Sep 18 14:17:01 2022 begin with 52447623 relations and 42317421 unique ideals Sun Sep 18 14:17:02 2022 reduce to 52095223 relations and 38327227 ideals in 7 passes Sun Sep 18 14:17:02 2022 max relations containing the same ideal: 133 Sun Sep 18 14:17:13 2022 removing 5487825 relations and 3487825 ideals in 2000000 cliques Sun Sep 18 14:17:14 2022 commencing in-memory singleton removal Sun Sep 18 14:17:14 2022 begin with 46607398 relations and 38327227 unique ideals Sun Sep 18 14:17:15 2022 reduce to 46255445 relations and 34475787 ideals in 6 passes Sun Sep 18 14:17:15 2022 max relations containing the same ideal: 123 Sun Sep 18 14:17:25 2022 removing 5393786 relations and 3393786 ideals in 2000000 cliques Sun Sep 18 14:17:27 2022 commencing in-memory singleton removal Sun Sep 18 14:17:27 2022 begin with 40861659 relations and 34475787 unique ideals Sun Sep 18 14:17:28 2022 reduce to 40496156 relations and 30703181 ideals in 7 passes Sun Sep 18 14:17:28 2022 max relations containing the same ideal: 110 Sun Sep 18 14:17:37 2022 removing 5331126 relations and 3331126 ideals in 2000000 cliques Sun Sep 18 14:17:38 2022 commencing in-memory singleton removal Sun Sep 18 14:17:38 2022 begin with 35165030 relations and 30703181 unique ideals Sun Sep 18 14:17:39 2022 reduce to 34774030 relations and 26965027 ideals in 6 passes Sun Sep 18 14:17:39 2022 max relations containing the same ideal: 100 Sun Sep 18 14:17:47 2022 removing 5289720 relations and 3289720 ideals in 2000000 cliques Sun Sep 18 14:17:48 2022 commencing in-memory singleton removal Sun Sep 18 14:17:48 2022 begin with 29484310 relations and 26965027 unique ideals Sun Sep 18 14:17:49 2022 reduce to 29051975 relations and 23222239 ideals in 6 passes Sun Sep 18 14:17:49 2022 max relations containing the same ideal: 88 Sun Sep 18 14:17:55 2022 removing 5265167 relations and 3265167 ideals in 2000000 cliques Sun Sep 18 14:17:57 2022 commencing in-memory singleton removal Sun Sep 18 14:17:57 2022 begin with 23786808 relations and 23222239 unique ideals Sun Sep 18 14:17:57 2022 reduce to 23287916 relations and 19430560 ideals in 8 passes Sun Sep 18 14:17:57 2022 max relations containing the same ideal: 77 Sun Sep 18 14:18:03 2022 removing 5242157 relations and 3242157 ideals in 2000000 cliques Sun Sep 18 14:18:04 2022 commencing in-memory singleton removal Sun Sep 18 14:18:04 2022 begin with 18045759 relations and 19430560 unique ideals Sun Sep 18 14:18:05 2022 reduce to 17438859 relations and 15539161 ideals in 7 passes Sun Sep 18 14:18:05 2022 max relations containing the same ideal: 65 Sun Sep 18 14:18:09 2022 removing 3450037 relations and 2219777 ideals in 1230260 cliques Sun Sep 18 14:18:10 2022 commencing in-memory singleton removal Sun Sep 18 14:18:10 2022 begin with 13988822 relations and 15539161 unique ideals Sun Sep 18 14:18:10 2022 reduce to 13557038 relations and 12860801 ideals in 7 passes Sun Sep 18 14:18:10 2022 max relations containing the same ideal: 52 Sun Sep 18 14:18:14 2022 removing 145523 relations and 118724 ideals in 26799 cliques Sun Sep 18 14:18:14 2022 commencing in-memory singleton removal Sun Sep 18 14:18:14 2022 begin with 13411515 relations and 12860801 unique ideals Sun Sep 18 14:18:14 2022 reduce to 13410218 relations and 12740778 ideals in 5 passes Sun Sep 18 14:18:14 2022 max relations containing the same ideal: 52 Sun Sep 18 14:18:16 2022 relations with 0 large ideals: 1813 Sun Sep 18 14:18:16 2022 relations with 1 large ideals: 17472 Sun Sep 18 14:18:16 2022 relations with 2 large ideals: 209138 Sun Sep 18 14:18:16 2022 relations with 3 large ideals: 1024520 Sun Sep 18 14:18:16 2022 relations with 4 large ideals: 2565959 Sun Sep 18 14:18:16 2022 relations with 5 large ideals: 3709971 Sun Sep 18 14:18:16 2022 relations with 6 large ideals: 3304633 Sun Sep 18 14:18:16 2022 relations with 7+ large ideals: 2576712 Sun Sep 18 14:18:16 2022 commencing 2-way merge Sun Sep 18 14:18:20 2022 reduce to 9155814 relation sets and 8486374 unique ideals Sun Sep 18 14:18:20 2022 commencing full merge Sun Sep 18 14:20:13 2022 memory use: 1069.4 MB Sun Sep 18 14:20:14 2022 found 4150773 cycles, need 4086574 Sun Sep 18 14:20:15 2022 weight of 4086574 cycles is about 490594591 (120.05/cycle) Sun Sep 18 14:20:15 2022 distribution of cycle lengths: Sun Sep 18 14:20:15 2022 1 relations: 82745 Sun Sep 18 14:20:15 2022 2 relations: 210412 Sun Sep 18 14:20:15 2022 3 relations: 278435 Sun Sep 18 14:20:15 2022 4 relations: 307773 Sun Sep 18 14:20:15 2022 5 relations: 335260 Sun Sep 18 14:20:15 2022 6 relations: 339858 Sun Sep 18 14:20:15 2022 7 relations: 334501 Sun Sep 18 14:20:15 2022 8 relations: 317624 Sun Sep 18 14:20:15 2022 9 relations: 295270 Sun Sep 18 14:20:15 2022 10+ relations: 1584696 Sun Sep 18 14:20:15 2022 heaviest cycle: 26 relations Sun Sep 18 14:20:16 2022 commencing cycle optimization Sun Sep 18 14:20:21 2022 start with 35781641 relations Sun Sep 18 14:21:12 2022 pruned 1928106 relations Sun Sep 18 14:21:12 2022 memory use: 923.4 MB Sun Sep 18 14:21:12 2022 distribution of cycle lengths: Sun Sep 18 14:21:12 2022 1 relations: 82745 Sun Sep 18 14:21:12 2022 2 relations: 217368 Sun Sep 18 14:21:12 2022 3 relations: 293563 Sun Sep 18 14:21:12 2022 4 relations: 324981 Sun Sep 18 14:21:12 2022 5 relations: 357853 Sun Sep 18 14:21:12 2022 6 relations: 361835 Sun Sep 18 14:21:12 2022 7 relations: 357631 Sun Sep 18 14:21:12 2022 8 relations: 337228 Sun Sep 18 14:21:12 2022 9 relations: 311088 Sun Sep 18 14:21:12 2022 10+ relations: 1442282 Sun Sep 18 14:21:12 2022 heaviest cycle: 26 relations Sun Sep 18 14:21:16 2022 RelProcTime: 595 Sun Sep 18 14:21:16 2022 elapsed time 00:09:55 Sun Sep 18 14:21:55 2022 Sun Sep 18 14:21:55 2022 Sun Sep 18 14:21:55 2022 Msieve v. 1.54 (SVN unknown) Sun Sep 18 14:21:55 2022 random seeds: 23177ff7 9a211e74 Sun Sep 18 14:21:55 2022 MPI process 0 of 4 Sun Sep 18 14:21:55 2022 factoring 44141508454313420747070196915364630884603889881981530090783656646857413252920901811048468944811475297911739998251017681978752056318783432229362070220285030013 (158 digits) Sun Sep 18 14:21:56 2022 no P-1/P+1/ECM available, skipping Sun Sep 18 14:21:56 2022 commencing number field sieve (158-digit input) Sun Sep 18 14:21:56 2022 R0: -2612781178353643499711022571845 Sun Sep 18 14:21:56 2022 R1: 1025397833996801 Sun Sep 18 14:21:56 2022 A0: 38327710393977929623813558674801357248 Sun Sep 18 14:21:56 2022 A1: 179776587409857003771993638749672 Sun Sep 18 14:21:56 2022 A2: -238798882138923031915284428 Sun Sep 18 14:21:56 2022 A3: 36996503861025647630 Sun Sep 18 14:21:56 2022 A4: 9670817066883 Sun Sep 18 14:21:56 2022 A5: 362520 Sun Sep 18 14:21:56 2022 skew 4715738.53, size 2.063e-15, alpha -7.080, combined = 1.686e-12 rroots = 5 Sun Sep 18 14:21:56 2022 Sun Sep 18 14:21:56 2022 commencing linear algebra Sun Sep 18 14:21:56 2022 using VBITS=256 Sun Sep 18 14:21:56 2022 initialized process (0,0) of 2 x 2 grid Sun Sep 18 14:21:56 2022 read 4086574 cycles Sun Sep 18 14:22:02 2022 cycles contain 13106783 unique relations Sun Sep 18 14:22:16 2022 read 13106783 relations Sun Sep 18 14:22:17 2022 using 20 quadratic characters above 4294917295 Sun Sep 18 14:22:20 2022 building initial matrix Sun Sep 18 14:24:19 2022 memory use: 1798.9 MB Sun Sep 18 14:24:21 2022 read 4086574 cycles Sun Sep 18 14:24:22 2022 matrix is 4086397 x 4086574 (1894.4 MB) with weight 578121589 (141.47/col) Sun Sep 18 14:24:22 2022 sparse part has weight 451645646 (110.52/col) Sun Sep 18 14:24:48 2022 filtering completed in 2 passes Sun Sep 18 14:24:49 2022 matrix is 4086195 x 4086371 (1894.3 MB) with weight 578111096 (141.47/col) Sun Sep 18 14:24:49 2022 sparse part has weight 451641700 (110.52/col) Sun Sep 18 14:24:57 2022 matrix starts at (0, 0) Sun Sep 18 14:24:57 2022 matrix is 2043218 x 2043187 (557.9 MB) with weight 187007258 (91.53/col) Sun Sep 18 14:24:57 2022 sparse part has weight 123768898 (60.58/col) Sun Sep 18 14:24:57 2022 saving the first 240 matrix rows for later Sun Sep 18 14:24:58 2022 matrix includes 256 packed rows Sun Sep 18 14:24:58 2022 matrix is 2042978 x 2043187 (475.5 MB) with weight 102168426 (50.00/col) Sun Sep 18 14:24:58 2022 sparse part has weight 91948482 (45.00/col) Sun Sep 18 14:24:58 2022 using GPU 0 (NVIDIA A40) Sun Sep 18 14:24:58 2022 selected card has CUDA arch 8.6 Sun Sep 18 14:25:02 2022 commencing Lanczos iteration Sun Sep 18 14:25:02 2022 memory use: 1091.2 MB Sun Sep 18 14:25:07 2022 linear algebra at 0.7%, ETA 0h 8m Sun Sep 18 14:25:14 2022 checking every 410000 dimensions, checkpointing every 25420000 dimensions Sun Sep 18 14:34:57 2022 lanczos halted after 16010 iterations (dim = 4085955) Sun Sep 18 14:35:07 2022 recovered 30 nontrivial dependencies Sun Sep 18 14:35:07 2022 BLanczosTime: 791 Sun Sep 18 14:35:07 2022 elapsed time 00:13:12 Sun Sep 18 14:36:56 2022 Sun Sep 18 14:36:56 2022 Sun Sep 18 14:36:56 2022 Msieve v. 1.54 (SVN unknown) Sun Sep 18 14:36:56 2022 random seeds: 97258a1d b3fdb072 Sun Sep 18 14:36:56 2022 MPI process 0 of 1 Sun Sep 18 14:36:56 2022 factoring 44141508454313420747070196915364630884603889881981530090783656646857413252920901811048468944811475297911739998251017681978752056318783432229362070220285030013 (158 digits) Sun Sep 18 14:36:57 2022 no P-1/P+1/ECM available, skipping Sun Sep 18 14:36:57 2022 commencing number field sieve (158-digit input) Sun Sep 18 14:36:57 2022 R0: -2612781178353643499711022571845 Sun Sep 18 14:36:57 2022 R1: 1025397833996801 Sun Sep 18 14:36:57 2022 A0: 38327710393977929623813558674801357248 Sun Sep 18 14:36:57 2022 A1: 179776587409857003771993638749672 Sun Sep 18 14:36:57 2022 A2: -238798882138923031915284428 Sun Sep 18 14:36:57 2022 A3: 36996503861025647630 Sun Sep 18 14:36:57 2022 A4: 9670817066883 Sun Sep 18 14:36:57 2022 A5: 362520 Sun Sep 18 14:36:57 2022 skew 4715738.53, size 2.063e-15, alpha -7.080, combined = 1.686e-12 rroots = 5 Sun Sep 18 14:36:57 2022 Sun Sep 18 14:36:57 2022 commencing square root phase Sun Sep 18 14:36:57 2022 reading relations for dependency 1 Sun Sep 18 14:36:57 2022 read 2043667 cycles Sun Sep 18 14:37:00 2022 cycles contain 6553946 unique relations Sun Sep 18 14:37:06 2022 read 6553946 relations Sun Sep 18 14:37:25 2022 multiplying 6553946 relations Sun Sep 18 14:37:59 2022 multiply complete, coefficients have about 360.68 million bits Sun Sep 18 14:38:00 2022 initial square root is modulo 2963617 Sun Sep 18 14:39:40 2022 sqrtTime: 163 Sun Sep 18 14:39:40 2022 p70 factor: 1881501392491774017005546664030972460346924222971357690934663942826461 Sun Sep 18 14:39:40 2022 p89 factor: 23460789681295124953794036011033123319500218168232578721359255539633236160820233244908833 Sun Sep 18 14:39:40 2022 elapsed time 00:02:44