Tue Feb 2 14:54:49 2021 Tue Feb 2 14:54:49 2021 Tue Feb 2 14:54:49 2021 Msieve v. 1.53 (SVN 988M) Tue Feb 2 14:54:49 2021 random seeds: c061e624 ed6de517 Tue Feb 2 14:54:49 2021 factoring 5935240867309377885018879599988466012045492962037673476372804169582124977456720035056552152220755920364885013440194274828969669405077799580187133481855035213220497252553531031065121324741647328728481553214114049305350102567314130571854330928381564001 (250 digits) Tue Feb 2 14:54:50 2021 searching for 15-digit factors Tue Feb 2 14:54:52 2021 commencing number field sieve (250-digit input) Tue Feb 2 14:54:52 2021 R0: 4978518112499354698647829163838661251242411 Tue Feb 2 14:54:52 2021 R1: -1330279464729113309844748891857449678409 Tue Feb 2 14:54:52 2021 A0: 121 Tue Feb 2 14:54:52 2021 A1: 0 Tue Feb 2 14:54:52 2021 A2: 0 Tue Feb 2 14:54:52 2021 A3: 0 Tue Feb 2 14:54:52 2021 A4: 0 Tue Feb 2 14:54:52 2021 A5: 0 Tue Feb 2 14:54:52 2021 A6: 81 Tue Feb 2 14:54:52 2021 skew 1.07, size 7.120e-13, alpha -0.152, combined = 9.248e-14 rroots = 0 Tue Feb 2 14:54:52 2021 Tue Feb 2 14:54:52 2021 commencing relation filtering Tue Feb 2 14:54:52 2021 setting target matrix density to 124.0 Tue Feb 2 14:54:52 2021 estimated available RAM is 32768.0 MB Tue Feb 2 14:54:52 2021 commencing duplicate removal, pass 1 Tue Feb 2 14:58:08 2021 error -15 reading relation 27678870 Tue Feb 2 15:11:25 2021 error -5 reading relation 141243267 Tue Feb 2 15:11:36 2021 error -1 reading relation 142892441 Tue Feb 2 15:13:24 2021 error -11 reading relation 158292137 Tue Feb 2 15:13:45 2021 error -15 reading relation 161216729 Tue Feb 2 15:13:45 2021 error -15 reading relation 161319285 Tue Feb 2 15:14:22 2021 error -15 reading relation 166520580 Tue Feb 2 15:14:22 2021 error -5 reading relation 166520712 Tue Feb 2 15:18:25 2021 skipped 551 relations with b > 2^32 Tue Feb 2 15:18:25 2021 skipped 2 relations with composite factors Tue Feb 2 15:18:25 2021 found 8832052 hash collisions in 200876843 relations Tue Feb 2 15:18:37 2021 added 1219064 free relations Tue Feb 2 15:18:37 2021 commencing duplicate removal, pass 2 Tue Feb 2 15:27:03 2021 found 0 duplicates and 202095907 unique relations Tue Feb 2 15:27:03 2021 memory use: 522.4 MB Tue Feb 2 15:27:03 2021 reading ideals above 169934848 Tue Feb 2 15:27:03 2021 commencing singleton removal, initial pass Tue Feb 2 15:44:48 2021 memory use: 3012.0 MB Tue Feb 2 15:44:49 2021 reading all ideals from disk Tue Feb 2 15:46:10 2021 memory use: 3507.4 MB Tue Feb 2 15:46:17 2021 commencing in-memory singleton removal Tue Feb 2 15:46:24 2021 begin with 202095907 relations and 162443492 unique ideals Tue Feb 2 15:47:59 2021 reduce to 140266473 relations and 95051727 ideals in 14 passes Tue Feb 2 15:47:59 2021 max relations containing the same ideal: 44 Tue Feb 2 15:48:16 2021 reading ideals above 720000 Tue Feb 2 15:48:16 2021 commencing singleton removal, initial pass Tue Feb 2 16:05:36 2021 memory use: 3012.0 MB Tue Feb 2 16:05:36 2021 reading all ideals from disk Tue Feb 2 16:07:49 2021 memory use: 5740.0 MB Tue Feb 2 16:08:08 2021 keeping 113309794 ideals with weight <= 200, target excess is 740103 Tue Feb 2 16:08:24 2021 commencing in-memory singleton removal Tue Feb 2 16:08:35 2021 begin with 140266473 relations and 113309794 unique ideals Tue Feb 2 16:10:11 2021 reduce to 140261300 relations and 113304620 ideals in 8 passes Tue Feb 2 16:10:11 2021 max relations containing the same ideal: 200 Tue Feb 2 16:11:11 2021 removing 10583222 relations and 8583222 ideals in 2000000 cliques Tue Feb 2 16:11:15 2021 commencing in-memory singleton removal Tue Feb 2 16:11:25 2021 begin with 129678078 relations and 113304620 unique ideals Tue Feb 2 16:13:03 2021 reduce to 129045259 relations and 104076979 ideals in 9 passes Tue Feb 2 16:13:03 2021 max relations containing the same ideal: 198 Tue Feb 2 16:13:56 2021 removing 8135322 relations and 6135322 ideals in 2000000 cliques Tue Feb 2 16:14:00 2021 commencing in-memory singleton removal Tue Feb 2 16:14:09 2021 begin with 120909937 relations and 104076979 unique ideals Tue Feb 2 16:15:30 2021 reduce to 120486658 relations and 97511575 ideals in 8 passes Tue Feb 2 16:15:30 2021 max relations containing the same ideal: 192 Tue Feb 2 16:16:23 2021 removing 7410352 relations and 5410352 ideals in 2000000 cliques Tue Feb 2 16:16:26 2021 commencing in-memory singleton removal Tue Feb 2 16:16:35 2021 begin with 113076306 relations and 97511575 unique ideals Tue Feb 2 16:17:51 2021 reduce to 112701820 relations and 91720782 ideals in 8 passes Tue Feb 2 16:17:51 2021 max relations containing the same ideal: 184 Tue Feb 2 16:18:41 2021 removing 7047888 relations and 5047888 ideals in 2000000 cliques Tue Feb 2 16:18:44 2021 commencing in-memory singleton removal Tue Feb 2 16:18:52 2021 begin with 105653932 relations and 91720782 unique ideals Tue Feb 2 16:20:01 2021 reduce to 105300009 relations and 86312955 ideals in 8 passes Tue Feb 2 16:20:01 2021 max relations containing the same ideal: 177 Tue Feb 2 16:20:45 2021 removing 6826615 relations and 4826615 ideals in 2000000 cliques Tue Feb 2 16:20:48 2021 commencing in-memory singleton removal Tue Feb 2 16:20:55 2021 begin with 98473394 relations and 86312955 unique ideals Tue Feb 2 16:21:52 2021 reduce to 98125846 relations and 81132795 ideals in 7 passes Tue Feb 2 16:21:52 2021 max relations containing the same ideal: 170 Tue Feb 2 16:22:35 2021 removing 6689375 relations and 4689375 ideals in 2000000 cliques Tue Feb 2 16:22:38 2021 commencing in-memory singleton removal Tue Feb 2 16:22:44 2021 begin with 91436471 relations and 81132795 unique ideals Tue Feb 2 16:23:30 2021 reduce to 91084993 relations and 76085550 ideals in 6 passes Tue Feb 2 16:23:30 2021 max relations containing the same ideal: 162 Tue Feb 2 16:24:15 2021 removing 6595299 relations and 4595299 ideals in 2000000 cliques Tue Feb 2 16:24:19 2021 commencing in-memory singleton removal Tue Feb 2 16:24:25 2021 begin with 84489694 relations and 76085550 unique ideals Tue Feb 2 16:25:15 2021 reduce to 84130565 relations and 71124136 ideals in 7 passes Tue Feb 2 16:25:15 2021 max relations containing the same ideal: 155 Tue Feb 2 16:25:53 2021 removing 6542759 relations and 4542759 ideals in 2000000 cliques Tue Feb 2 16:25:55 2021 commencing in-memory singleton removal Tue Feb 2 16:26:00 2021 begin with 77587806 relations and 71124136 unique ideals Tue Feb 2 16:26:44 2021 reduce to 77210297 relations and 66195981 ideals in 7 passes Tue Feb 2 16:26:44 2021 max relations containing the same ideal: 149 Tue Feb 2 16:27:17 2021 removing 6514309 relations and 4514309 ideals in 2000000 cliques Tue Feb 2 16:27:19 2021 commencing in-memory singleton removal Tue Feb 2 16:27:24 2021 begin with 70695988 relations and 66195981 unique ideals Tue Feb 2 16:28:03 2021 reduce to 70293945 relations and 61270911 ideals in 7 passes Tue Feb 2 16:28:03 2021 max relations containing the same ideal: 140 Tue Feb 2 16:28:35 2021 removing 6506898 relations and 4506898 ideals in 2000000 cliques Tue Feb 2 16:28:37 2021 commencing in-memory singleton removal Tue Feb 2 16:28:42 2021 begin with 63787047 relations and 61270911 unique ideals Tue Feb 2 16:29:17 2021 reduce to 63354785 relations and 56321277 ideals in 7 passes Tue Feb 2 16:29:17 2021 max relations containing the same ideal: 130 Tue Feb 2 16:29:47 2021 removing 6519674 relations and 4519674 ideals in 2000000 cliques Tue Feb 2 16:29:49 2021 commencing in-memory singleton removal Tue Feb 2 16:29:53 2021 begin with 56835111 relations and 56321277 unique ideals Tue Feb 2 16:30:25 2021 reduce to 56357340 relations and 51311250 ideals in 7 passes Tue Feb 2 16:30:25 2021 max relations containing the same ideal: 118 Tue Feb 2 16:30:52 2021 removing 6556141 relations and 4556141 ideals in 2000000 cliques Tue Feb 2 16:30:55 2021 commencing in-memory singleton removal Tue Feb 2 16:30:58 2021 begin with 49801199 relations and 51311250 unique ideals Tue Feb 2 16:31:31 2021 reduce to 49262802 relations and 46200454 ideals in 8 passes Tue Feb 2 16:31:31 2021 max relations containing the same ideal: 107 Tue Feb 2 16:31:55 2021 removing 6607105 relations and 4607105 ideals in 2000000 cliques Tue Feb 2 16:31:57 2021 commencing in-memory singleton removal Tue Feb 2 16:32:00 2021 begin with 42655697 relations and 46200454 unique ideals Tue Feb 2 16:32:30 2021 reduce to 42025698 relations and 40941695 ideals in 9 passes Tue Feb 2 16:32:30 2021 max relations containing the same ideal: 98 Tue Feb 2 16:32:49 2021 removing 1129187 relations and 903704 ideals in 225483 cliques Tue Feb 2 16:32:50 2021 commencing in-memory singleton removal Tue Feb 2 16:32:52 2021 begin with 40896511 relations and 40941695 unique ideals Tue Feb 2 16:33:08 2021 reduce to 40876125 relations and 40017499 ideals in 5 passes Tue Feb 2 16:33:08 2021 max relations containing the same ideal: 94 Tue Feb 2 16:33:30 2021 relations with 0 large ideals: 27797 Tue Feb 2 16:33:30 2021 relations with 1 large ideals: 8517 Tue Feb 2 16:33:30 2021 relations with 2 large ideals: 99978 Tue Feb 2 16:33:30 2021 relations with 3 large ideals: 721293 Tue Feb 2 16:33:30 2021 relations with 4 large ideals: 2860937 Tue Feb 2 16:33:30 2021 relations with 5 large ideals: 6830988 Tue Feb 2 16:33:30 2021 relations with 6 large ideals: 10306719 Tue Feb 2 16:33:30 2021 relations with 7+ large ideals: 20019896 Tue Feb 2 16:33:30 2021 commencing 2-way merge Tue Feb 2 16:33:55 2021 reduce to 27205153 relation sets and 26346527 unique ideals Tue Feb 2 16:33:55 2021 commencing full merge Tue Feb 2 16:46:28 2021 memory use: 3632.6 MB Tue Feb 2 16:46:35 2021 found 12338406 cycles, need 12298727 Tue Feb 2 16:46:36 2021 weight of 12298727 cycles is about 1525342145 (124.02/cycle) Tue Feb 2 16:46:36 2021 distribution of cycle lengths: Tue Feb 2 16:46:36 2021 1 relations: 505122 Tue Feb 2 16:46:36 2021 2 relations: 732600 Tue Feb 2 16:46:36 2021 3 relations: 867039 Tue Feb 2 16:46:36 2021 4 relations: 896453 Tue Feb 2 16:46:36 2021 5 relations: 915669 Tue Feb 2 16:46:36 2021 6 relations: 908646 Tue Feb 2 16:46:36 2021 7 relations: 891820 Tue Feb 2 16:46:36 2021 8 relations: 850638 Tue Feb 2 16:46:36 2021 9 relations: 800168 Tue Feb 2 16:46:36 2021 10+ relations: 4930572 Tue Feb 2 16:46:36 2021 heaviest cycle: 28 relations Tue Feb 2 16:46:42 2021 commencing cycle optimization Tue Feb 2 16:47:13 2021 start with 109355895 relations Tue Feb 2 16:52:58 2021 pruned 5311479 relations Tue Feb 2 16:52:58 2021 memory use: 2828.5 MB Tue Feb 2 16:52:58 2021 distribution of cycle lengths: Tue Feb 2 16:52:58 2021 1 relations: 505122 Tue Feb 2 16:52:58 2021 2 relations: 751182 Tue Feb 2 16:52:58 2021 3 relations: 904973 Tue Feb 2 16:52:58 2021 4 relations: 935658 Tue Feb 2 16:52:58 2021 5 relations: 964018 Tue Feb 2 16:52:58 2021 6 relations: 955629 Tue Feb 2 16:52:58 2021 7 relations: 941486 Tue Feb 2 16:52:58 2021 8 relations: 894613 Tue Feb 2 16:52:58 2021 9 relations: 839699 Tue Feb 2 16:52:58 2021 10+ relations: 4606347 Tue Feb 2 16:52:58 2021 heaviest cycle: 28 relations Tue Feb 2 16:53:41 2021 RelProcTime: 7129 Tue Feb 2 16:53:41 2021 Tue Feb 2 16:53:41 2021 commencing linear algebra Tue Feb 2 16:53:44 2021 read 12298727 cycles Tue Feb 2 16:54:12 2021 cycles contain 40462608 unique relations Tue Feb 2 17:02:45 2021 read 40462608 relations Tue Feb 2 17:04:25 2021 using 20 quadratic characters above 4294917295 Tue Feb 2 17:06:59 2021 building initial matrix Tue Feb 2 17:15:56 2021 memory use: 5289.6 MB Tue Feb 2 17:18:23 2021 read 12298727 cycles Tue Feb 2 17:18:27 2021 matrix is 12298550 x 12298727 (5959.2 MB) with weight 1695542580 (137.86/col) Tue Feb 2 17:18:27 2021 sparse part has weight 1426880208 (116.02/col) Tue Feb 2 17:20:52 2021 filtering completed in 2 passes Tue Feb 2 17:20:54 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col) Tue Feb 2 17:20:54 2021 sparse part has weight 1426878656 (116.02/col) Tue Feb 2 17:25:53 2021 matrix starts at (0, 0) Tue Feb 2 17:25:54 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col) Tue Feb 2 17:25:54 2021 sparse part has weight 1426878656 (116.02/col) Tue Feb 2 17:25:54 2021 saving the first 48 matrix rows for later Tue Feb 2 17:25:56 2021 matrix includes 64 packed rows Tue Feb 2 17:25:58 2021 matrix is 12298356 x 12298581 (5698.2 MB) with weight 1469154496 (119.46/col) Tue Feb 2 17:25:58 2021 sparse part has weight 1370762646 (111.46/col) Tue Feb 2 17:25:58 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Tue Feb 2 17:27:17 2021 commencing Lanczos iteration (16 threads) Tue Feb 2 17:27:17 2021 memory use: 4860.3 MB Tue Feb 2 17:27:37 2021 linear algebra at 0.0%, ETA 42h48m Tue Feb 2 17:27:43 2021 checkpointing every 300000 dimensions Tue Feb 2 17:32:26 2021 lanczos halted after 378 iterations (dim = 23897) Tue Feb 2 17:32:29 2021 BLanczosTime: 2328 Tue Feb 2 17:32:29 2021 Tue Feb 2 17:32:29 2021 commencing square root phase Tue Feb 2 17:32:29 2021 handling dependencies 1 to 64 Tue Feb 2 17:32:29 2021 reading relations for dependency 1 Tue Feb 2 17:32:29 2021 error: read_cycles can't open dependency file Tue Feb 2 17:40:19 2021 Tue Feb 2 17:40:19 2021 Tue Feb 2 17:40:19 2021 Msieve v. 1.53 (SVN 988M) Tue Feb 2 17:40:19 2021 random seeds: 263dc4a4 3fd7d2e4 Tue Feb 2 17:40:19 2021 factoring 5935240867309377885018879599988466012045492962037673476372804169582124977456720035056552152220755920364885013440194274828969669405077799580187133481855035213220497252553531031065121324741647328728481553214114049305350102567314130571854330928381564001 (250 digits) Tue Feb 2 17:40:20 2021 searching for 15-digit factors Tue Feb 2 17:40:22 2021 commencing number field sieve (250-digit input) Tue Feb 2 17:40:22 2021 R0: 4978518112499354698647829163838661251242411 Tue Feb 2 17:40:22 2021 R1: -1330279464729113309844748891857449678409 Tue Feb 2 17:40:22 2021 A0: 121 Tue Feb 2 17:40:22 2021 A1: 0 Tue Feb 2 17:40:22 2021 A2: 0 Tue Feb 2 17:40:22 2021 A3: 0 Tue Feb 2 17:40:22 2021 A4: 0 Tue Feb 2 17:40:22 2021 A5: 0 Tue Feb 2 17:40:22 2021 A6: 81 Tue Feb 2 17:40:22 2021 skew 1.07, size 7.120e-13, alpha -0.152, combined = 9.248e-14 rroots = 0 Tue Feb 2 17:40:22 2021 Tue Feb 2 17:40:22 2021 commencing linear algebra Tue Feb 2 17:42:35 2021 matrix starts at (0, 0) Tue Feb 2 17:42:36 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col) Tue Feb 2 17:42:36 2021 sparse part has weight 1426878656 (116.02/col) Tue Feb 2 17:42:36 2021 saving the first 48 matrix rows for later Tue Feb 2 17:42:38 2021 matrix includes 64 packed rows Tue Feb 2 17:42:39 2021 matrix is 12298356 x 12298581 (5698.2 MB) with weight 1469154496 (119.46/col) Tue Feb 2 17:42:39 2021 sparse part has weight 1370762646 (111.46/col) Tue Feb 2 17:42:39 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Tue Feb 2 17:43:48 2021 commencing Lanczos iteration (16 threads) Tue Feb 2 17:43:48 2021 memory use: 4860.3 MB Tue Feb 2 17:43:48 2021 restarting at iteration 378 (dim = 23897) Tue Feb 2 17:44:02 2021 linear algebra at 0.2%, ETA 31h35m Tue Feb 2 17:44:08 2021 checkpointing every 390000 dimensions Thu Feb 4 01:30:37 2021 lanczos halted after 194485 iterations (dim = 12298355) Thu Feb 4 01:30:48 2021 recovered 38 nontrivial dependencies Thu Feb 4 01:30:53 2021 BLanczosTime: 114631 Thu Feb 4 01:30:53 2021 Thu Feb 4 01:30:53 2021 commencing square root phase Thu Feb 4 01:30:53 2021 reading relations for dependency 1 Thu Feb 4 01:31:03 2021 read 6148225 cycles Thu Feb 4 01:31:16 2021 cycles contain 20223778 unique relations Thu Feb 4 01:39:54 2021 read 20223778 relations Thu Feb 4 01:41:23 2021 multiplying 20223778 relations Thu Feb 4 01:55:17 2021 multiply complete, coefficients have about 655.33 million bits Thu Feb 4 01:55:19 2021 initial square root is modulo 757327 Thu Feb 4 02:09:30 2021 sqrtTime: 2317 Thu Feb 4 02:09:30 2021 p101 factor: 27629397626771432899477186319651600758864547022558510301569208366886795222177078053629518005040139761 Thu Feb 4 02:09:30 2021 p150 factor: 214816151531238657862609369373796559458687478389321651032185326293176861012317603082611226625237859378089709240196750825351729161232984296165330025841 Thu Feb 4 02:09:30 2021 elapsed time 32:29:11