Sat Apr 27 03:45:18 2019 Sat Apr 27 03:45:18 2019 Sat Apr 27 03:45:18 2019 Msieve v. 1.54 (SVN 1025) Sat Apr 27 03:45:18 2019 random seeds: d03b3bd7 1641ad70 Sat Apr 27 03:45:18 2019 factoring 2676286754998023732770818741401679694609155541829134744613083724831013109767438698406205868509054021243964457471463918229936769413044882296618024409940287643894741801377707120362362739926834875239073254713842246418327 (217 digits) Sat Apr 27 03:45:19 2019 searching for 15-digit factors Sat Apr 27 03:45:20 2019 commencing number field sieve (217-digit input) Sat Apr 27 03:45:20 2019 R0: 256923577521058878088611477224235621321607 Sat Apr 27 03:45:20 2019 R1: -134713546244127343440523266742756048896 Sat Apr 27 03:45:20 2019 A0: 1 Sat Apr 27 03:45:20 2019 A1: -1 Sat Apr 27 03:45:20 2019 A2: 1 Sat Apr 27 03:45:20 2019 A3: -1 Sat Apr 27 03:45:20 2019 A4: 1 Sat Apr 27 03:45:20 2019 A5: -1 Sat Apr 27 03:45:20 2019 A6: 1 Sat Apr 27 03:45:20 2019 skew 1.00, size 2.868e-12, alpha 2.428, combined = 2.541e-13 rroots = 0 Sat Apr 27 03:45:20 2019 Sat Apr 27 03:45:20 2019 commencing relation filtering Sat Apr 27 03:45:20 2019 setting target matrix density to 124.0 Sat Apr 27 03:45:20 2019 estimated available RAM is 15988.9 MB Sat Apr 27 03:45:20 2019 commencing duplicate removal, pass 1 Sat Apr 27 03:52:02 2019 error -11 reading relation 63522724 Sat Apr 27 04:03:34 2019 error -1 reading relation 169950158 Sat Apr 27 04:07:17 2019 error -1 reading relation 203704944 Sat Apr 27 04:07:58 2019 skipped 108 relations with b > 2^32 Sat Apr 27 04:07:58 2019 skipped 6 relations with composite factors Sat Apr 27 04:07:58 2019 found 9373425 hash collisions in 207109584 relations Sat Apr 27 04:07:58 2019 commencing duplicate removal, pass 2 Sat Apr 27 04:08:41 2019 found 0 duplicates and 207109584 unique relations Sat Apr 27 04:08:41 2019 memory use: 522.4 MB Sat Apr 27 04:08:41 2019 reading ideals above 134021120 Sat Apr 27 04:08:41 2019 commencing singleton removal, initial pass Sat Apr 27 04:25:12 2019 memory use: 5512.0 MB Sat Apr 27 04:25:12 2019 reading all ideals from disk Sat Apr 27 04:25:18 2019 memory use: 3866.6 MB Sat Apr 27 04:25:26 2019 commencing in-memory singleton removal Sat Apr 27 04:25:33 2019 begin with 207109584 relations and 164583948 unique ideals Sat Apr 27 04:26:57 2019 reduce to 144411145 relations and 96239121 ideals in 12 passes Sat Apr 27 04:26:57 2019 max relations containing the same ideal: 43 Sat Apr 27 04:27:03 2019 reading ideals above 720000 Sat Apr 27 04:27:04 2019 commencing singleton removal, initial pass Sat Apr 27 04:42:05 2019 memory use: 3012.0 MB Sat Apr 27 04:42:05 2019 reading all ideals from disk Sat Apr 27 04:42:15 2019 memory use: 5720.1 MB Sat Apr 27 04:42:31 2019 keeping 110678693 ideals with weight <= 200, target excess is 745226 Sat Apr 27 04:42:47 2019 commencing in-memory singleton removal Sat Apr 27 04:42:59 2019 begin with 144411145 relations and 110678693 unique ideals Sat Apr 27 04:43:22 2019 reduce to 144411144 relations and 110678692 ideals in 2 passes Sat Apr 27 04:43:22 2019 max relations containing the same ideal: 200 Sat Apr 27 04:44:19 2019 removing 10081754 relations and 8081754 ideals in 2000000 cliques Sat Apr 27 04:44:21 2019 commencing in-memory singleton removal Sat Apr 27 04:44:33 2019 begin with 134329390 relations and 110678692 unique ideals Sat Apr 27 04:46:02 2019 reduce to 133816927 relations and 102075451 ideals in 8 passes Sat Apr 27 04:46:02 2019 max relations containing the same ideal: 197 Sat Apr 27 04:46:54 2019 removing 7691637 relations and 5691637 ideals in 2000000 cliques Sat Apr 27 04:46:57 2019 commencing in-memory singleton removal Sat Apr 27 04:47:08 2019 begin with 126125290 relations and 102075451 unique ideals Sat Apr 27 04:48:31 2019 reduce to 125783130 relations and 96036398 ideals in 8 passes Sat Apr 27 04:48:31 2019 max relations containing the same ideal: 193 Sat Apr 27 04:49:20 2019 removing 6980077 relations and 4980077 ideals in 2000000 cliques Sat Apr 27 04:49:22 2019 commencing in-memory singleton removal Sat Apr 27 04:49:32 2019 begin with 118803053 relations and 96036398 unique ideals Sat Apr 27 04:50:30 2019 reduce to 118507506 relations and 90756101 ideals in 6 passes Sat Apr 27 04:50:30 2019 max relations containing the same ideal: 186 Sat Apr 27 04:51:16 2019 removing 6610530 relations and 4610530 ideals in 2000000 cliques Sat Apr 27 04:51:19 2019 commencing in-memory singleton removal Sat Apr 27 04:51:28 2019 begin with 111896976 relations and 90756101 unique ideals Sat Apr 27 04:52:32 2019 reduce to 111625280 relations and 85869532 ideals in 7 passes Sat Apr 27 04:52:32 2019 max relations containing the same ideal: 180 Sat Apr 27 04:53:15 2019 removing 6374495 relations and 4374495 ideals in 2000000 cliques Sat Apr 27 04:53:17 2019 commencing in-memory singleton removal Sat Apr 27 04:53:26 2019 begin with 105250785 relations and 85869532 unique ideals Sat Apr 27 04:54:17 2019 reduce to 104992047 relations and 81232118 ideals in 6 passes Sat Apr 27 04:54:17 2019 max relations containing the same ideal: 173 Sat Apr 27 04:54:58 2019 removing 6197204 relations and 4197204 ideals in 2000000 cliques Sat Apr 27 04:55:00 2019 commencing in-memory singleton removal Sat Apr 27 04:55:08 2019 begin with 98794843 relations and 81232118 unique ideals Sat Apr 27 04:55:55 2019 reduce to 98544410 relations and 76780127 ideals in 6 passes Sat Apr 27 04:55:55 2019 max relations containing the same ideal: 168 Sat Apr 27 04:56:33 2019 removing 6071160 relations and 4071160 ideals in 2000000 cliques Sat Apr 27 04:56:35 2019 commencing in-memory singleton removal Sat Apr 27 04:56:43 2019 begin with 92473250 relations and 76780127 unique ideals Sat Apr 27 04:57:27 2019 reduce to 92224946 relations and 72456037 ideals in 6 passes Sat Apr 27 04:57:27 2019 max relations containing the same ideal: 157 Sat Apr 27 04:58:03 2019 removing 5967218 relations and 3967218 ideals in 2000000 cliques Sat Apr 27 04:58:04 2019 commencing in-memory singleton removal Sat Apr 27 04:58:11 2019 begin with 86257728 relations and 72456037 unique ideals Sat Apr 27 04:58:51 2019 reduce to 86010408 relations and 68236866 ideals in 6 passes Sat Apr 27 04:58:51 2019 max relations containing the same ideal: 152 Sat Apr 27 04:59:24 2019 removing 5886153 relations and 3886153 ideals in 2000000 cliques Sat Apr 27 04:59:26 2019 commencing in-memory singleton removal Sat Apr 27 04:59:32 2019 begin with 80124255 relations and 68236866 unique ideals Sat Apr 27 05:00:10 2019 reduce to 79872800 relations and 64094175 ideals in 6 passes Sat Apr 27 05:00:10 2019 max relations containing the same ideal: 145 Sat Apr 27 05:00:40 2019 removing 5818563 relations and 3818563 ideals in 2000000 cliques Sat Apr 27 05:00:42 2019 commencing in-memory singleton removal Sat Apr 27 05:00:48 2019 begin with 74054237 relations and 64094175 unique ideals Sat Apr 27 05:01:28 2019 reduce to 73796454 relations and 60012108 ideals in 7 passes Sat Apr 27 05:01:28 2019 max relations containing the same ideal: 137 Sat Apr 27 05:01:56 2019 removing 5760990 relations and 3760990 ideals in 2000000 cliques Sat Apr 27 05:01:58 2019 commencing in-memory singleton removal Sat Apr 27 05:02:03 2019 begin with 68035464 relations and 60012108 unique ideals Sat Apr 27 05:02:34 2019 reduce to 67766803 relations and 55976204 ideals in 6 passes Sat Apr 27 05:02:34 2019 max relations containing the same ideal: 128 Sat Apr 27 05:02:59 2019 removing 5716307 relations and 3716307 ideals in 2000000 cliques Sat Apr 27 05:03:01 2019 commencing in-memory singleton removal Sat Apr 27 05:03:05 2019 begin with 62050496 relations and 55976204 unique ideals Sat Apr 27 05:03:33 2019 reduce to 61766132 relations and 51968301 ideals in 6 passes Sat Apr 27 05:03:33 2019 max relations containing the same ideal: 120 Sat Apr 27 05:03:56 2019 removing 5683760 relations and 3683760 ideals in 2000000 cliques Sat Apr 27 05:03:58 2019 commencing in-memory singleton removal Sat Apr 27 05:04:02 2019 begin with 56082372 relations and 51968301 unique ideals Sat Apr 27 05:04:30 2019 reduce to 55773912 relations and 47967477 ideals in 7 passes Sat Apr 27 05:04:30 2019 max relations containing the same ideal: 115 Sat Apr 27 05:04:51 2019 removing 5665826 relations and 3665826 ideals in 2000000 cliques Sat Apr 27 05:04:53 2019 commencing in-memory singleton removal Sat Apr 27 05:04:56 2019 begin with 50108086 relations and 47967477 unique ideals Sat Apr 27 05:05:22 2019 reduce to 49764492 relations and 43947487 ideals in 7 passes Sat Apr 27 05:05:22 2019 max relations containing the same ideal: 106 Sat Apr 27 05:05:41 2019 removing 5671110 relations and 3671110 ideals in 2000000 cliques Sat Apr 27 05:05:42 2019 commencing in-memory singleton removal Sat Apr 27 05:05:45 2019 begin with 44093382 relations and 43947487 unique ideals Sat Apr 27 05:06:11 2019 reduce to 43698136 relations and 39867485 ideals in 8 passes Sat Apr 27 05:06:11 2019 max relations containing the same ideal: 97 Sat Apr 27 05:06:27 2019 removing 5709940 relations and 3709940 ideals in 2000000 cliques Sat Apr 27 05:06:29 2019 commencing in-memory singleton removal Sat Apr 27 05:06:31 2019 begin with 37988196 relations and 39867485 unique ideals Sat Apr 27 05:06:50 2019 reduce to 37503196 relations and 35653569 ideals in 7 passes Sat Apr 27 05:06:50 2019 max relations containing the same ideal: 88 Sat Apr 27 05:07:04 2019 removing 3226063 relations and 2240899 ideals in 985164 cliques Sat Apr 27 05:07:05 2019 commencing in-memory singleton removal Sat Apr 27 05:07:08 2019 begin with 34277133 relations and 35653569 unique ideals Sat Apr 27 05:07:25 2019 reduce to 34064063 relations and 33194717 ideals in 7 passes Sat Apr 27 05:07:25 2019 max relations containing the same ideal: 83 Sat Apr 27 05:07:42 2019 relations with 0 large ideals: 57021 Sat Apr 27 05:07:42 2019 relations with 1 large ideals: 14051 Sat Apr 27 05:07:42 2019 relations with 2 large ideals: 164411 Sat Apr 27 05:07:42 2019 relations with 3 large ideals: 1029494 Sat Apr 27 05:07:42 2019 relations with 4 large ideals: 3479109 Sat Apr 27 05:07:42 2019 relations with 5 large ideals: 7036946 Sat Apr 27 05:07:42 2019 relations with 6 large ideals: 8930809 Sat Apr 27 05:07:42 2019 relations with 7+ large ideals: 13352222 Sat Apr 27 05:07:42 2019 commencing 2-way merge Sat Apr 27 05:07:59 2019 reduce to 23815158 relation sets and 22945812 unique ideals Sat Apr 27 05:07:59 2019 commencing full merge Sat Apr 27 05:16:03 2019 memory use: 3051.6 MB Sat Apr 27 05:16:05 2019 found 10442663 cycles, need 10428012 Sat Apr 27 05:16:08 2019 weight of 10428012 cycles is about 1293790516 (124.07/cycle) Sat Apr 27 05:16:08 2019 distribution of cycle lengths: Sat Apr 27 05:16:08 2019 1 relations: 347099 Sat Apr 27 05:16:08 2019 2 relations: 496458 Sat Apr 27 05:16:08 2019 3 relations: 629425 Sat Apr 27 05:16:08 2019 4 relations: 692265 Sat Apr 27 05:16:08 2019 5 relations: 738481 Sat Apr 27 05:16:08 2019 6 relations: 758317 Sat Apr 27 05:16:08 2019 7 relations: 759064 Sat Apr 27 05:16:08 2019 8 relations: 739259 Sat Apr 27 05:16:08 2019 9 relations: 703222 Sat Apr 27 05:16:08 2019 10+ relations: 4564422 Sat Apr 27 05:16:08 2019 heaviest cycle: 28 relations Sat Apr 27 05:16:11 2019 commencing cycle optimization Sat Apr 27 05:16:30 2019 start with 98504135 relations Sat Apr 27 05:19:59 2019 pruned 5436243 relations Sat Apr 27 05:19:59 2019 memory use: 2430.6 MB Sat Apr 27 05:19:59 2019 distribution of cycle lengths: Sat Apr 27 05:19:59 2019 1 relations: 347099 Sat Apr 27 05:19:59 2019 2 relations: 509570 Sat Apr 27 05:19:59 2019 3 relations: 657060 Sat Apr 27 05:19:59 2019 4 relations: 725324 Sat Apr 27 05:19:59 2019 5 relations: 783568 Sat Apr 27 05:19:59 2019 6 relations: 805071 Sat Apr 27 05:19:59 2019 7 relations: 810233 Sat Apr 27 05:19:59 2019 8 relations: 786817 Sat Apr 27 05:19:59 2019 9 relations: 748213 Sat Apr 27 05:19:59 2019 10+ relations: 4255057 Sat Apr 27 05:19:59 2019 heaviest cycle: 28 relations Sat Apr 27 05:20:15 2019 RelProcTime: 5695 Sat Apr 27 05:20:19 2019 Sat Apr 27 05:20:19 2019 commencing linear algebra Sat Apr 27 05:20:20 2019 read 10428012 cycles Sat Apr 27 05:20:40 2019 cycles contain 33653382 unique relations Sat Apr 27 05:23:09 2019 read 33653382 relations Sat Apr 27 05:24:08 2019 using 20 quadratic characters above 4294917295 Sat Apr 27 05:25:57 2019 building initial matrix Sat Apr 27 05:31:41 2019 memory use: 4311.2 MB Sat Apr 27 05:31:45 2019 read 10428012 cycles Sat Apr 27 05:31:46 2019 matrix is 10427835 x 10428012 (4994.1 MB) with weight 1417300036 (135.91/col) Sat Apr 27 05:31:46 2019 sparse part has weight 1194462851 (114.54/col) Sat Apr 27 05:33:42 2019 filtering completed in 2 passes Sat Apr 27 05:33:44 2019 matrix is 10427764 x 10427941 (4994.1 MB) with weight 1417297704 (135.91/col) Sat Apr 27 05:33:44 2019 sparse part has weight 1194462081 (114.54/col) Sat Apr 27 05:34:10 2019 matrix starts at (0, 0) Sat Apr 27 05:34:11 2019 matrix is 10427764 x 10427941 (4994.1 MB) with weight 1417297704 (135.91/col) Sat Apr 27 05:34:11 2019 sparse part has weight 1194462081 (114.54/col) Sat Apr 27 05:34:11 2019 saving the first 48 matrix rows for later Sat Apr 27 05:34:13 2019 matrix includes 64 packed rows Sat Apr 27 05:34:14 2019 matrix is 10427716 x 10427941 (4784.2 MB) with weight 1228200670 (117.78/col) Sat Apr 27 05:34:14 2019 sparse part has weight 1149858371 (110.27/col) Sat Apr 27 05:34:14 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sat Apr 27 05:34:49 2019 commencing Lanczos iteration (4 threads) Sat Apr 27 05:34:49 2019 memory use: 4577.2 MB Sat Apr 27 05:35:44 2019 linear algebra at 0.0%, ETA 98h57m Sat Apr 27 05:35:59 2019 checkpointing every 110000 dimensions Tue Apr 30 07:56:12 2019 lanczos halted after 164909 iterations (dim = 10427713) Tue Apr 30 07:56:23 2019 recovered 36 nontrivial dependencies Tue Apr 30 07:56:23 2019 BLanczosTime: 268564 Tue Apr 30 07:56:23 2019 Tue Apr 30 07:56:23 2019 commencing square root phase Tue Apr 30 07:56:23 2019 handling dependencies 1 to 64 Tue Apr 30 07:56:23 2019 reading relations for dependency 1 Tue Apr 30 07:56:24 2019 read 5212918 cycles Tue Apr 30 07:56:33 2019 cycles contain 16820352 unique relations Tue Apr 30 07:57:58 2019 read 16820352 relations Tue Apr 30 07:58:59 2019 multiplying 16820352 relations Tue Apr 30 08:08:14 2019 multiply complete, coefficients have about 422.77 million bits Tue Apr 30 08:08:17 2019 initial square root is modulo 38533757 Tue Apr 30 08:24:55 2019 GCD is 1, no factor found Tue Apr 30 08:24:55 2019 reading relations for dependency 2 Tue Apr 30 08:24:58 2019 read 5215862 cycles Tue Apr 30 08:25:10 2019 cycles contain 16828622 unique relations Tue Apr 30 08:26:43 2019 read 16828622 relations Tue Apr 30 08:27:46 2019 multiplying 16828622 relations Tue Apr 30 08:36:50 2019 multiply complete, coefficients have about 422.98 million bits Tue Apr 30 08:36:52 2019 initial square root is modulo 38866187 Tue Apr 30 08:46:36 2019 GCD is 1, no factor found Tue Apr 30 08:46:36 2019 reading relations for dependency 3 Tue Apr 30 08:46:37 2019 read 5214637 cycles Tue Apr 30 08:46:47 2019 cycles contain 16822686 unique relations Tue Apr 30 08:48:11 2019 read 16822686 relations Tue Apr 30 08:49:15 2019 multiplying 16822686 relations Tue Apr 30 08:58:26 2019 multiply complete, coefficients have about 422.83 million bits Tue Apr 30 08:58:28 2019 initial square root is modulo 38627977 Tue Apr 30 09:08:24 2019 sqrtTime: 4321 Tue Apr 30 09:08:24 2019 p56 factor: 54930848491816914651602322926979712763280364051646515679 Tue Apr 30 09:08:24 2019 p161 factor: 48721016122602074241812062630899845104508868809824174353918186580339649897172471480277716929045436802310924549808217616750057453987771441393242540845936956125513 Tue Apr 30 09:08:24 2019 elapsed time 77:23:06