Sun Jan 8 12:28:09 2023 Sun Jan 8 12:28:09 2023 Sun Jan 8 12:28:09 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Jan 8 12:28:09 2023 random seeds: dc67fedc 77737755 Sun Jan 8 12:28:09 2023 MPI process 0 of 1 Sun Jan 8 12:28:09 2023 Using 32 OpenMP threads Sun Jan 8 12:28:09 2023 factoring 2907840614549580543754513885626818551999702770017337487185194867887377513634259017565436712823276523735061161728422722195918191511342181630443048129516533150788552215405555914350894432029730170839530124718205775803246114513758793792925820531023678513 (250 digits) Sun Jan 8 12:28:10 2023 no P-1/P+1/ECM available, skipping Sun Jan 8 12:28:10 2023 commencing number field sieve (250-digit input) Sun Jan 8 12:28:10 2023 R0: 616873509628062366290756156815389726793178407 Sun Jan 8 12:28:10 2023 R1: -9007199254740992 Sun Jan 8 12:28:10 2023 A0: 49 Sun Jan 8 12:28:10 2023 A1: 0 Sun Jan 8 12:28:10 2023 A2: 0 Sun Jan 8 12:28:10 2023 A3: 0 Sun Jan 8 12:28:10 2023 A4: 0 Sun Jan 8 12:28:10 2023 A5: 0 Sun Jan 8 12:28:10 2023 A6: 4 Sun Jan 8 12:28:10 2023 skew 1.52, size 2.221e-13, alpha 1.236, combined = 3.799e-14 rroots = 0 Sun Jan 8 12:28:14 2023 Sun Jan 8 12:28:14 2023 commencing relation filtering Sun Jan 8 12:28:14 2023 setting target matrix density to 100.0 Sun Jan 8 12:28:14 2023 estimated available RAM is 257753.8 MB Sun Jan 8 12:28:14 2023 commencing duplicate removal, pass 1 Sun Jan 8 12:35:43 2023 skipped 886 relations with b > 2^32 Sun Jan 8 12:35:43 2023 skipped 12 relations with composite factors Sun Jan 8 12:35:43 2023 skipped 229 malformed relations Sun Jan 8 12:35:43 2023 found 10824708 hash collisions in 312385262 relations Sun Jan 8 12:35:55 2023 commencing duplicate removal, pass 2 Sun Jan 8 12:37:04 2023 found 0 duplicates and 312385262 unique relations Sun Jan 8 12:37:04 2023 memory use: 1044.8 MB Sun Jan 8 12:37:04 2023 reading ideals above 720000 Sun Jan 8 12:37:04 2023 commencing singleton removal, initial pass Sun Jan 8 12:53:01 2023 memory use: 6024.0 MB Sun Jan 8 12:53:02 2023 reading all ideals from disk Sun Jan 8 12:53:17 2023 memory use: 15573.4 MB Sun Jan 8 12:54:08 2023 keeping 324734130 ideals with weight <= 200, target excess is 1605725 Sun Jan 8 12:55:06 2023 commencing in-memory singleton removal Sun Jan 8 12:55:17 2023 begin with 312385262 relations and 324734130 unique ideals Sun Jan 8 12:56:19 2023 reduce to 155625601 relations and 146883789 ideals in 21 passes Sun Jan 8 12:56:19 2023 max relations containing the same ideal: 135 Sun Jan 8 12:57:25 2023 removing 11158609 relations and 10158609 ideals in 1000000 cliques Sun Jan 8 12:57:31 2023 commencing in-memory singleton removal Sun Jan 8 12:57:36 2023 begin with 144466992 relations and 146883789 unique ideals Sun Jan 8 12:58:04 2023 reduce to 143704647 relations and 135955067 ideals in 13 passes Sun Jan 8 12:58:04 2023 max relations containing the same ideal: 131 Sun Jan 8 12:59:04 2023 removing 8216000 relations and 7216000 ideals in 1000000 cliques Sun Jan 8 12:59:10 2023 commencing in-memory singleton removal Sun Jan 8 12:59:15 2023 begin with 135488647 relations and 135955067 unique ideals Sun Jan 8 12:59:41 2023 reduce to 135035937 relations and 128282588 ideals in 13 passes Sun Jan 8 12:59:41 2023 max relations containing the same ideal: 122 Sun Jan 8 13:00:38 2023 removing 7291830 relations and 6291830 ideals in 1000000 cliques Sun Jan 8 13:00:43 2023 commencing in-memory singleton removal Sun Jan 8 13:00:47 2023 begin with 127744107 relations and 128282588 unique ideals Sun Jan 8 13:01:07 2023 reduce to 127367224 relations and 121610843 ideals in 10 passes Sun Jan 8 13:01:07 2023 max relations containing the same ideal: 117 Sun Jan 8 13:02:00 2023 removing 6802004 relations and 5802004 ideals in 1000000 cliques Sun Jan 8 13:02:04 2023 commencing in-memory singleton removal Sun Jan 8 13:02:09 2023 begin with 120565220 relations and 121610843 unique ideals Sun Jan 8 13:02:27 2023 reduce to 120216557 relations and 115457270 ideals in 10 passes Sun Jan 8 13:02:27 2023 max relations containing the same ideal: 113 Sun Jan 8 13:03:17 2023 removing 6491629 relations and 5491629 ideals in 1000000 cliques Sun Jan 8 13:03:22 2023 commencing in-memory singleton removal Sun Jan 8 13:03:26 2023 begin with 113724928 relations and 115457270 unique ideals Sun Jan 8 13:03:41 2023 reduce to 113390844 relations and 109628805 ideals in 9 passes Sun Jan 8 13:03:41 2023 max relations containing the same ideal: 107 Sun Jan 8 13:04:28 2023 removing 6279918 relations and 5279918 ideals in 1000000 cliques Sun Jan 8 13:04:32 2023 commencing in-memory singleton removal Sun Jan 8 13:04:36 2023 begin with 107110926 relations and 109628805 unique ideals Sun Jan 8 13:04:51 2023 reduce to 106782221 relations and 104017429 ideals in 9 passes Sun Jan 8 13:04:51 2023 max relations containing the same ideal: 103 Sun Jan 8 13:05:36 2023 removing 5632431 relations and 4730280 ideals in 902151 cliques Sun Jan 8 13:05:40 2023 commencing in-memory singleton removal Sun Jan 8 13:05:43 2023 begin with 101149790 relations and 104017429 unique ideals Sun Jan 8 13:05:57 2023 reduce to 100872982 relations and 99008074 ideals in 9 passes Sun Jan 8 13:05:57 2023 max relations containing the same ideal: 100 Sun Jan 8 13:06:55 2023 relations with 0 large ideals: 60250 Sun Jan 8 13:06:55 2023 relations with 1 large ideals: 27322 Sun Jan 8 13:06:55 2023 relations with 2 large ideals: 332446 Sun Jan 8 13:06:55 2023 relations with 3 large ideals: 2239085 Sun Jan 8 13:06:55 2023 relations with 4 large ideals: 8381829 Sun Jan 8 13:06:55 2023 relations with 5 large ideals: 18933381 Sun Jan 8 13:06:55 2023 relations with 6 large ideals: 26776679 Sun Jan 8 13:06:55 2023 relations with 7+ large ideals: 44121990 Sun Jan 8 13:06:55 2023 commencing 2-way merge Sun Jan 8 13:07:57 2023 reduce to 60826469 relation sets and 58961561 unique ideals Sun Jan 8 13:07:57 2023 commencing full merge Sun Jan 8 13:30:23 2023 memory use: 7291.7 MB Sun Jan 8 13:30:29 2023 found 28299641 cycles, need 28175761 Sun Jan 8 13:30:40 2023 weight of 28175761 cycles is about 2817810120 (100.01/cycle) Sun Jan 8 13:30:40 2023 distribution of cycle lengths: Sun Jan 8 13:30:40 2023 1 relations: 3315465 Sun Jan 8 13:30:40 2023 2 relations: 2790170 Sun Jan 8 13:30:40 2023 3 relations: 2610525 Sun Jan 8 13:30:40 2023 4 relations: 2336118 Sun Jan 8 13:30:40 2023 5 relations: 2158677 Sun Jan 8 13:30:40 2023 6 relations: 1951631 Sun Jan 8 13:30:40 2023 7 relations: 1755561 Sun Jan 8 13:30:40 2023 8 relations: 1553298 Sun Jan 8 13:30:40 2023 9 relations: 1402246 Sun Jan 8 13:30:40 2023 10+ relations: 8302070 Sun Jan 8 13:30:40 2023 heaviest cycle: 28 relations Sun Jan 8 13:30:51 2023 commencing cycle optimization Sun Jan 8 13:31:45 2023 start with 204939772 relations Sun Jan 8 13:38:53 2023 pruned 5961327 relations Sun Jan 8 13:38:54 2023 memory use: 6181.0 MB Sun Jan 8 13:38:54 2023 distribution of cycle lengths: Sun Jan 8 13:38:54 2023 1 relations: 3315465 Sun Jan 8 13:38:54 2023 2 relations: 2852621 Sun Jan 8 13:38:54 2023 3 relations: 2703102 Sun Jan 8 13:38:54 2023 4 relations: 2401040 Sun Jan 8 13:38:54 2023 5 relations: 2222456 Sun Jan 8 13:38:54 2023 6 relations: 1992897 Sun Jan 8 13:38:54 2023 7 relations: 1789260 Sun Jan 8 13:38:54 2023 8 relations: 1574624 Sun Jan 8 13:38:54 2023 9 relations: 1416151 Sun Jan 8 13:38:54 2023 10+ relations: 7908145 Sun Jan 8 13:38:54 2023 heaviest cycle: 28 relations Sun Jan 8 13:40:01 2023 RelProcTime: 4307 Sun Jan 8 13:40:01 2023 elapsed time 01:11:52 Sun Jan 8 13:40:02 2023 Sun Jan 8 13:40:02 2023 Sun Jan 8 13:40:02 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Jan 8 13:40:02 2023 random seeds: c0e9ac6b 28435794 Sun Jan 8 13:40:02 2023 MPI process 0 of 1 Sun Jan 8 13:40:02 2023 Using 32 OpenMP threads Sun Jan 8 13:40:02 2023 factoring 2907840614549580543754513885626818551999702770017337487185194867887377513634259017565436712823276523735061161728422722195918191511342181630443048129516533150788552215405555914350894432029730170839530124718205775803246114513758793792925820531023678513 (250 digits) Sun Jan 8 13:40:03 2023 no P-1/P+1/ECM available, skipping Sun Jan 8 13:40:03 2023 commencing number field sieve (250-digit input) Sun Jan 8 13:40:03 2023 R0: 616873509628062366290756156815389726793178407 Sun Jan 8 13:40:03 2023 R1: -9007199254740992 Sun Jan 8 13:40:03 2023 A0: 49 Sun Jan 8 13:40:03 2023 A1: 0 Sun Jan 8 13:40:03 2023 A2: 0 Sun Jan 8 13:40:03 2023 A3: 0 Sun Jan 8 13:40:03 2023 A4: 0 Sun Jan 8 13:40:03 2023 A5: 0 Sun Jan 8 13:40:03 2023 A6: 4 Sun Jan 8 13:40:03 2023 skew 1.52, size 2.221e-13, alpha 1.236, combined = 3.799e-14 rroots = 0 Sun Jan 8 13:40:03 2023 Sun Jan 8 13:40:03 2023 commencing linear algebra Sun Jan 8 13:40:03 2023 using VBITS=128 Sun Jan 8 13:40:03 2023 stopping after matrix build Sun Jan 8 13:40:03 2023 initialized process (0,0) of 1 x 1 grid Sun Jan 8 13:40:07 2023 read 28175761 cycles Sun Jan 8 13:41:04 2023 cycles contain 99185581 unique relations Sun Jan 8 13:42:43 2023 read 99185581 relations Sun Jan 8 13:43:00 2023 using 20 quadratic characters above 4294917295 Sun Jan 8 13:43:38 2023 building initial matrix Sun Jan 8 14:00:38 2023 memory use: 12316.1 MB Sun Jan 8 14:01:08 2023 read 28175761 cycles Sun Jan 8 14:01:12 2023 matrix is 28175581 x 28175761 (11499.6 MB) with weight 3263617594 (115.83/col) Sun Jan 8 14:01:12 2023 sparse part has weight 2704629780 (95.99/col) Sun Jan 8 14:11:21 2023 filtering completed in 2 passes Sun Jan 8 14:11:27 2023 matrix is 28165712 x 28165890 (11498.8 MB) with weight 3263304505 (115.86/col) Sun Jan 8 14:11:27 2023 sparse part has weight 2704520947 (96.02/col) Sun Jan 8 14:12:53 2023 BLanczosTime: 1970 Sun Jan 8 14:12:53 2023 elapsed time 00:32:51 Sun Jan 8 16:24:20 2023 Sun Jan 8 16:24:20 2023 Sun Jan 8 16:24:20 2023 Msieve v. 1.54 (SVN unknown) Sun Jan 8 16:24:20 2023 random seeds: 1f03088f 23c26363 Sun Jan 8 16:24:20 2023 MPI process 0 of 4 Sun Jan 8 16:24:20 2023 Using 16 OpenMP threads Sun Jan 8 16:24:20 2023 factoring 2907840614549580543754513885626818551999702770017337487185194867887377513634259017565436712823276523735061161728422722195918191511342181630443048129516533150788552215405555914350894432029730170839530124718205775803246114513758793792925820531023678513 (250 digits) Sun Jan 8 16:24:21 2023 no P-1/P+1/ECM available, skipping Sun Jan 8 16:24:21 2023 commencing number field sieve (250-digit input) Sun Jan 8 16:24:21 2023 R0: 616873509628062366290756156815389726793178407 Sun Jan 8 16:24:21 2023 R1: -9007199254740992 Sun Jan 8 16:24:21 2023 A0: 49 Sun Jan 8 16:24:21 2023 A1: 0 Sun Jan 8 16:24:21 2023 A2: 0 Sun Jan 8 16:24:21 2023 A3: 0 Sun Jan 8 16:24:21 2023 A4: 0 Sun Jan 8 16:24:21 2023 A5: 0 Sun Jan 8 16:24:21 2023 A6: 4 Sun Jan 8 16:24:21 2023 skew 1.52, size 2.221e-13, alpha 1.236, combined = 3.799e-14 rroots = 0 Sun Jan 8 16:24:21 2023 Sun Jan 8 16:24:21 2023 commencing linear algebra Sun Jan 8 16:24:21 2023 using VBITS=256 Sun Jan 8 16:24:21 2023 skipping matrix build Sun Jan 8 16:24:21 2023 initialized process (0,0) of 2 x 2 grid Sun Jan 8 16:24:34 2023 matrix starts at (0, 0) Sun Jan 8 16:24:35 2023 matrix is 14082976 x 14082982 (3393.7 MB) with weight 1014128013 (72.01/col) Sun Jan 8 16:24:35 2023 sparse part has weight 734737314 (52.17/col) Sun Jan 8 16:24:35 2023 saving the first 240 matrix rows for later Sun Jan 8 16:24:37 2023 matrix includes 256 packed rows Sun Jan 8 16:24:41 2023 matrix is 14082736 x 14082982 (3044.9 MB) with weight 617702912 (43.86/col) Sun Jan 8 16:24:41 2023 sparse part has weight 572887137 (40.68/col) Sun Jan 8 16:24:41 2023 using GPU 0 (NVIDIA A100-SXM4-40GB) Sun Jan 8 16:24:41 2023 selected card has CUDA arch 8.0 Sun Jan 8 16:25:08 2023 commencing Lanczos iteration Sun Jan 8 16:25:08 2023 memory use: 7056.9 MB Sun Jan 8 16:25:23 2023 linear algebra at 0.1%, ETA 3h34m Sun Jan 8 16:25:45 2023 checking every 120000 dimensions, checkpointing every 7800000 dimensions Sun Jan 8 20:05:59 2023 lanczos halted after 110353 iterations (dim = 28165467) Sun Jan 8 20:08:16 2023 recovered 40 nontrivial dependencies Sun Jan 8 20:08:16 2023 BLanczosTime: 13435 Sun Jan 8 20:08:16 2023 elapsed time 03:43:56 Sun Jan 8 18:14:27 2023 Sun Jan 8 18:14:27 2023 Sun Jan 8 18:14:27 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Jan 8 18:14:27 2023 random seeds: 2727be5a 11b4aace Sun Jan 8 18:14:27 2023 MPI process 0 of 1 Sun Jan 8 18:14:27 2023 Using 32 OpenMP threads Sun Jan 8 18:14:27 2023 factoring 2907840614549580543754513885626818551999702770017337487185194867887377513634259017565436712823276523735061161728422722195918191511342181630443048129516533150788552215405555914350894432029730170839530124718205775803246114513758793792925820531023678513 (250 digits) Sun Jan 8 18:14:28 2023 no P-1/P+1/ECM available, skipping Sun Jan 8 18:14:28 2023 commencing number field sieve (250-digit input) Sun Jan 8 18:14:28 2023 R0: 616873509628062366290756156815389726793178407 Sun Jan 8 18:14:28 2023 R1: -9007199254740992 Sun Jan 8 18:14:28 2023 A0: 49 Sun Jan 8 18:14:28 2023 A1: 0 Sun Jan 8 18:14:28 2023 A2: 0 Sun Jan 8 18:14:28 2023 A3: 0 Sun Jan 8 18:14:28 2023 A4: 0 Sun Jan 8 18:14:28 2023 A5: 0 Sun Jan 8 18:14:28 2023 A6: 4 Sun Jan 8 18:14:28 2023 skew 1.52, size 2.221e-13, alpha 1.236, combined = 3.799e-14 rroots = 0 Sun Jan 8 18:14:28 2023 Sun Jan 8 18:14:28 2023 commencing square root phase Sun Jan 8 18:14:28 2023 reading relations for dependency 1 Sun Jan 8 18:14:32 2023 read 14079293 cycles Sun Jan 8 18:14:58 2023 cycles contain 49586238 unique relations Sun Jan 8 18:15:57 2023 read 49586238 relations Sun Jan 8 18:19:52 2023 multiplying 49586238 relations Sun Jan 8 18:27:42 2023 multiply complete, coefficients have about 1417.69 million bits Sun Jan 8 18:27:47 2023 initial square root is modulo 2287627 Sun Jan 8 18:39:56 2023 found factor: 380047870257584880794673197514005861999051530146110774271537873302487209 Sun Jan 8 18:39:56 2023 reading relations for dependency 2 Sun Jan 8 18:39:59 2023 read 14083928 cycles Sun Jan 8 18:40:25 2023 cycles contain 49589628 unique relations Sun Jan 8 18:41:24 2023 read 49589628 relations Sun Jan 8 18:46:23 2023 multiplying 49589628 relations Sun Jan 8 18:54:11 2023 multiply complete, coefficients have about 1417.80 million bits Sun Jan 8 18:54:17 2023 initial square root is modulo 2290207 Sun Jan 8 19:06:19 2023 sqrtTime: 3111 Sun Jan 8 19:06:20 2023 p69 factor: 383064234008610087412532700596658774742639621761292991403466729615049 Sun Jan 8 19:06:20 2023 p72 factor: 380047870257584880794673197514005861999051530146110774271537873302487209 Sun Jan 8 19:06:20 2023 p110 factor: 19973799700282558566203243749299172811867664598456774687105599415452324708504236052122254661269162470936568193 Sun Jan 8 19:06:20 2023 elapsed time 00:51:53