Tue Nov 7 20:48:12 2017 Tue Nov 7 20:48:12 2017 Tue Nov 7 20:48:12 2017 Msieve v. 1.53 (SVN 993M) Tue Nov 7 20:48:12 2017 random seeds: b24d3dab 77727405 Tue Nov 7 20:48:12 2017 MPI process 0 of 1 Tue Nov 7 20:48:12 2017 factoring 446968172410122872992196388563123554199753477810992828395877112575518306619324701349248558096445378768374270606892728430431750550825937414107999299175967531699289648699961746620947 (180 digits) Tue Nov 7 20:48:13 2017 no P-1/P+1/ECM available, skipping Tue Nov 7 20:48:13 2017 commencing number field sieve (180-digit input) Tue Nov 7 20:48:13 2017 R0: 13606793610144465216226908028995378071 Tue Nov 7 20:48:13 2017 R1: -1 Tue Nov 7 20:48:13 2017 A0: -2387363771591 Tue Nov 7 20:48:13 2017 A1: 0 Tue Nov 7 20:48:13 2017 A2: 0 Tue Nov 7 20:48:13 2017 A3: 0 Tue Nov 7 20:48:13 2017 A4: 0 Tue Nov 7 20:48:13 2017 A5: 0 Tue Nov 7 20:48:13 2017 A6: 1 Tue Nov 7 20:48:13 2017 skew 115.61, size 6.337e-12, alpha -1.952, combined = 4.738e-13 rroots = 2 Tue Nov 7 20:48:13 2017 Tue Nov 7 20:48:13 2017 commencing relation filtering Tue Nov 7 20:48:13 2017 setting target matrix density to 130.0 Tue Nov 7 20:48:13 2017 estimated available RAM is 258443.6 MB Tue Nov 7 20:48:13 2017 commencing duplicate removal, pass 1 Tue Nov 7 21:22:01 2017 skipped 2 relations with b > 2^32 Tue Nov 7 21:22:01 2017 skipped 15 relations with composite factors Tue Nov 7 21:22:01 2017 found 27510109 hash collisions in 238025366 relations Tue Nov 7 21:22:17 2017 added 1220023 free relations Tue Nov 7 21:22:17 2017 commencing duplicate removal, pass 2 Tue Nov 7 21:26:37 2017 found 19982167 duplicates and 219263222 unique relations Tue Nov 7 21:26:37 2017 memory use: 852.8 MB Tue Nov 7 21:26:38 2017 reading ideals above 720000 Tue Nov 7 21:26:38 2017 commencing singleton removal, initial pass Tue Nov 7 22:00:27 2017 memory use: 5512.0 MB Tue Nov 7 22:00:32 2017 reading all ideals from disk Tue Nov 7 22:02:02 2017 memory use: 8489.5 MB Tue Nov 7 22:03:44 2017 keeping 179467655 ideals with weight <= 200, target excess is 1107151 Tue Nov 7 22:04:12 2017 commencing in-memory singleton removal Tue Nov 7 22:04:25 2017 begin with 219263222 relations and 179467655 unique ideals Tue Nov 7 22:06:29 2017 reduce to 158881071 relations and 114059949 ideals in 11 passes Tue Nov 7 22:06:29 2017 max relations containing the same ideal: 169 Tue Nov 7 22:07:27 2017 removing 9328122 relations and 7328122 ideals in 2000000 cliques Tue Nov 7 22:07:31 2017 commencing in-memory singleton removal Tue Nov 7 22:07:40 2017 begin with 149552949 relations and 114059949 unique ideals Tue Nov 7 22:08:49 2017 reduce to 149134860 relations and 106306923 ideals in 7 passes Tue Nov 7 22:08:49 2017 max relations containing the same ideal: 163 Tue Nov 7 22:09:43 2017 removing 7157209 relations and 5157209 ideals in 2000000 cliques Tue Nov 7 22:09:47 2017 commencing in-memory singleton removal Tue Nov 7 22:09:55 2017 begin with 141977651 relations and 106306923 unique ideals Tue Nov 7 22:10:52 2017 reduce to 141694763 relations and 100862812 ideals in 6 passes Tue Nov 7 22:10:52 2017 max relations containing the same ideal: 159 Tue Nov 7 22:11:43 2017 removing 6540547 relations and 4540547 ideals in 2000000 cliques Tue Nov 7 22:11:47 2017 commencing in-memory singleton removal Tue Nov 7 22:11:55 2017 begin with 135154216 relations and 100862812 unique ideals Tue Nov 7 22:12:48 2017 reduce to 134912647 relations and 96077203 ideals in 6 passes Tue Nov 7 22:12:48 2017 max relations containing the same ideal: 153 Tue Nov 7 22:13:37 2017 removing 6218601 relations and 4218601 ideals in 2000000 cliques Tue Nov 7 22:13:40 2017 commencing in-memory singleton removal Tue Nov 7 22:13:48 2017 begin with 128694046 relations and 96077203 unique ideals Tue Nov 7 22:14:37 2017 reduce to 128473936 relations and 91635312 ideals in 6 passes Tue Nov 7 22:14:37 2017 max relations containing the same ideal: 149 Tue Nov 7 22:15:24 2017 removing 6013764 relations and 4013764 ideals in 2000000 cliques Tue Nov 7 22:15:27 2017 commencing in-memory singleton removal Tue Nov 7 22:15:34 2017 begin with 122460172 relations and 91635312 unique ideals Tue Nov 7 22:16:29 2017 reduce to 122252399 relations and 87410790 ideals in 7 passes Tue Nov 7 22:16:29 2017 max relations containing the same ideal: 147 Tue Nov 7 22:17:13 2017 removing 5864041 relations and 3864041 ideals in 2000000 cliques Tue Nov 7 22:17:16 2017 commencing in-memory singleton removal Tue Nov 7 22:17:23 2017 begin with 116388358 relations and 87410790 unique ideals Tue Nov 7 22:18:15 2017 reduce to 116186612 relations and 83341863 ideals in 7 passes Tue Nov 7 22:18:15 2017 max relations containing the same ideal: 145 Tue Nov 7 22:18:57 2017 removing 5753474 relations and 3753474 ideals in 2000000 cliques Tue Nov 7 22:19:00 2017 commencing in-memory singleton removal Tue Nov 7 22:19:06 2017 begin with 110433138 relations and 83341863 unique ideals Tue Nov 7 22:19:48 2017 reduce to 110235458 relations and 79387582 ideals in 6 passes Tue Nov 7 22:19:48 2017 max relations containing the same ideal: 140 Tue Nov 7 22:20:28 2017 removing 5664466 relations and 3664466 ideals in 2000000 cliques Tue Nov 7 22:20:31 2017 commencing in-memory singleton removal Tue Nov 7 22:20:37 2017 begin with 104570992 relations and 79387582 unique ideals Tue Nov 7 22:21:17 2017 reduce to 104374406 relations and 75523203 ideals in 6 passes Tue Nov 7 22:21:17 2017 max relations containing the same ideal: 131 Tue Nov 7 22:21:55 2017 removing 5599336 relations and 3599336 ideals in 2000000 cliques Tue Nov 7 22:21:57 2017 commencing in-memory singleton removal Tue Nov 7 22:22:03 2017 begin with 98775070 relations and 75523203 unique ideals Tue Nov 7 22:22:47 2017 reduce to 98576685 relations and 71721846 ideals in 7 passes Tue Nov 7 22:22:47 2017 max relations containing the same ideal: 125 Tue Nov 7 22:23:22 2017 removing 5546776 relations and 3546776 ideals in 2000000 cliques Tue Nov 7 22:23:24 2017 commencing in-memory singleton removal Tue Nov 7 22:23:30 2017 begin with 93029909 relations and 71721846 unique ideals Tue Nov 7 22:24:05 2017 reduce to 92829760 relations and 67971088 ideals in 6 passes Tue Nov 7 22:24:05 2017 max relations containing the same ideal: 121 Tue Nov 7 22:24:37 2017 removing 5502172 relations and 3502172 ideals in 2000000 cliques Tue Nov 7 22:24:40 2017 commencing in-memory singleton removal Tue Nov 7 22:24:45 2017 begin with 87327588 relations and 67971088 unique ideals Tue Nov 7 22:25:18 2017 reduce to 87122510 relations and 64259578 ideals in 6 passes Tue Nov 7 22:25:18 2017 max relations containing the same ideal: 114 Tue Nov 7 22:25:49 2017 removing 5469985 relations and 3469985 ideals in 2000000 cliques Tue Nov 7 22:25:51 2017 commencing in-memory singleton removal Tue Nov 7 22:25:56 2017 begin with 81652525 relations and 64259578 unique ideals Tue Nov 7 22:26:26 2017 reduce to 81438807 relations and 60571326 ideals in 6 passes Tue Nov 7 22:26:26 2017 max relations containing the same ideal: 110 Tue Nov 7 22:26:55 2017 removing 5445111 relations and 3445111 ideals in 2000000 cliques Tue Nov 7 22:26:58 2017 commencing in-memory singleton removal Tue Nov 7 22:27:02 2017 begin with 75993696 relations and 60571326 unique ideals Tue Nov 7 22:27:31 2017 reduce to 75771787 relations and 56899281 ideals in 6 passes Tue Nov 7 22:27:31 2017 max relations containing the same ideal: 105 Tue Nov 7 22:27:58 2017 removing 5425970 relations and 3425970 ideals in 2000000 cliques Tue Nov 7 22:28:01 2017 commencing in-memory singleton removal Tue Nov 7 22:28:05 2017 begin with 70345817 relations and 56899281 unique ideals Tue Nov 7 22:28:31 2017 reduce to 70111462 relations and 53233332 ideals in 6 passes Tue Nov 7 22:28:31 2017 max relations containing the same ideal: 100 Tue Nov 7 22:28:56 2017 removing 5418484 relations and 3418484 ideals in 2000000 cliques Tue Nov 7 22:28:58 2017 commencing in-memory singleton removal Tue Nov 7 22:29:02 2017 begin with 64692978 relations and 53233332 unique ideals Tue Nov 7 22:29:29 2017 reduce to 64444046 relations and 49559653 ideals in 7 passes Tue Nov 7 22:29:29 2017 max relations containing the same ideal: 94 Tue Nov 7 22:29:53 2017 removing 5418539 relations and 3418539 ideals in 2000000 cliques Tue Nov 7 22:29:55 2017 commencing in-memory singleton removal Tue Nov 7 22:29:58 2017 begin with 59025507 relations and 49559653 unique ideals Tue Nov 7 22:30:23 2017 reduce to 58756682 relations and 45864983 ideals in 7 passes Tue Nov 7 22:30:23 2017 max relations containing the same ideal: 89 Tue Nov 7 22:30:45 2017 removing 5424346 relations and 3424346 ideals in 2000000 cliques Tue Nov 7 22:30:47 2017 commencing in-memory singleton removal Tue Nov 7 22:30:50 2017 begin with 53332336 relations and 45864983 unique ideals Tue Nov 7 22:31:09 2017 reduce to 53040629 relations and 42140539 ideals in 6 passes Tue Nov 7 22:31:09 2017 max relations containing the same ideal: 85 Tue Nov 7 22:31:28 2017 removing 5438618 relations and 3438618 ideals in 2000000 cliques Tue Nov 7 22:31:30 2017 commencing in-memory singleton removal Tue Nov 7 22:31:33 2017 begin with 47602011 relations and 42140539 unique ideals Tue Nov 7 22:31:53 2017 reduce to 47279848 relations and 38369280 ideals in 7 passes Tue Nov 7 22:31:53 2017 max relations containing the same ideal: 78 Tue Nov 7 22:32:10 2017 removing 5460150 relations and 3460150 ideals in 2000000 cliques Tue Nov 7 22:32:12 2017 commencing in-memory singleton removal Tue Nov 7 22:32:15 2017 begin with 41819698 relations and 38369280 unique ideals Tue Nov 7 22:32:30 2017 reduce to 41456438 relations and 34532896 ideals in 6 passes Tue Nov 7 22:32:30 2017 max relations containing the same ideal: 71 Tue Nov 7 22:32:45 2017 removing 5492196 relations and 3492196 ideals in 2000000 cliques Tue Nov 7 22:32:47 2017 commencing in-memory singleton removal Tue Nov 7 22:32:49 2017 begin with 35964242 relations and 34532896 unique ideals Tue Nov 7 22:33:03 2017 reduce to 35545726 relations and 30605186 ideals in 7 passes Tue Nov 7 22:33:03 2017 max relations containing the same ideal: 65 Tue Nov 7 22:33:17 2017 removing 5535544 relations and 3535544 ideals in 2000000 cliques Tue Nov 7 22:33:19 2017 commencing in-memory singleton removal Tue Nov 7 22:33:20 2017 begin with 30010182 relations and 30605186 unique ideals Tue Nov 7 22:33:32 2017 reduce to 29508111 relations and 26544027 ideals in 7 passes Tue Nov 7 22:33:32 2017 max relations containing the same ideal: 58 Tue Nov 7 22:33:44 2017 removing 4816602 relations and 3136814 ideals in 1679788 cliques Tue Nov 7 22:33:45 2017 commencing in-memory singleton removal Tue Nov 7 22:33:46 2017 begin with 24691509 relations and 26544027 unique ideals Tue Nov 7 22:33:59 2017 reduce to 24185582 relations and 22876502 ideals in 9 passes Tue Nov 7 22:33:59 2017 max relations containing the same ideal: 51 Tue Nov 7 22:34:08 2017 removing 140007 relations and 115223 ideals in 24784 cliques Tue Nov 7 22:34:09 2017 commencing in-memory singleton removal Tue Nov 7 22:34:10 2017 begin with 24045575 relations and 22876502 unique ideals Tue Nov 7 22:34:15 2017 reduce to 24044860 relations and 22760562 ideals in 4 passes Tue Nov 7 22:34:15 2017 max relations containing the same ideal: 51 Tue Nov 7 22:34:20 2017 relations with 0 large ideals: 42356 Tue Nov 7 22:34:20 2017 relations with 1 large ideals: 46033 Tue Nov 7 22:34:20 2017 relations with 2 large ideals: 503446 Tue Nov 7 22:34:20 2017 relations with 3 large ideals: 2220407 Tue Nov 7 22:34:20 2017 relations with 4 large ideals: 5035559 Tue Nov 7 22:34:20 2017 relations with 5 large ideals: 6617387 Tue Nov 7 22:34:20 2017 relations with 6 large ideals: 5336302 Tue Nov 7 22:34:20 2017 relations with 7+ large ideals: 4243370 Tue Nov 7 22:34:20 2017 commencing 2-way merge Tue Nov 7 22:34:31 2017 reduce to 16407551 relation sets and 15123253 unique ideals Tue Nov 7 22:34:31 2017 commencing full merge Tue Nov 7 22:41:43 2017 memory use: 1898.9 MB Tue Nov 7 22:41:46 2017 found 7178602 cycles, need 7107453 Tue Nov 7 22:41:49 2017 weight of 7107453 cycles is about 924167204 (130.03/cycle) Tue Nov 7 22:41:49 2017 distribution of cycle lengths: Tue Nov 7 22:41:49 2017 1 relations: 202115 Tue Nov 7 22:41:49 2017 2 relations: 318627 Tue Nov 7 22:41:49 2017 3 relations: 410990 Tue Nov 7 22:41:49 2017 4 relations: 459498 Tue Nov 7 22:41:49 2017 5 relations: 496275 Tue Nov 7 22:41:49 2017 6 relations: 512050 Tue Nov 7 22:41:49 2017 7 relations: 518223 Tue Nov 7 22:41:49 2017 8 relations: 507047 Tue Nov 7 22:41:49 2017 9 relations: 481799 Tue Nov 7 22:41:49 2017 10+ relations: 3200829 Tue Nov 7 22:41:49 2017 heaviest cycle: 28 relations Tue Nov 7 22:41:54 2017 commencing cycle optimization Tue Nov 7 22:42:10 2017 start with 68295684 relations Tue Nov 7 22:45:34 2017 pruned 3948279 relations Tue Nov 7 22:45:34 2017 memory use: 1688.9 MB Tue Nov 7 22:45:34 2017 distribution of cycle lengths: Tue Nov 7 22:45:34 2017 1 relations: 202115 Tue Nov 7 22:45:34 2017 2 relations: 327864 Tue Nov 7 22:45:34 2017 3 relations: 430658 Tue Nov 7 22:45:34 2017 4 relations: 483602 Tue Nov 7 22:45:34 2017 5 relations: 529462 Tue Nov 7 22:45:34 2017 6 relations: 546791 Tue Nov 7 22:45:34 2017 7 relations: 557091 Tue Nov 7 22:45:34 2017 8 relations: 543169 Tue Nov 7 22:45:34 2017 9 relations: 516242 Tue Nov 7 22:45:34 2017 10+ relations: 2970459 Tue Nov 7 22:45:34 2017 heaviest cycle: 28 relations Tue Nov 7 22:45:58 2017 RelProcTime: 7065 Tue Nov 7 22:45:58 2017 elapsed time 01:57:46 Tue Nov 7 22:46:14 2017 Tue Nov 7 22:46:14 2017 Tue Nov 7 22:46:14 2017 Msieve v. 1.53 (SVN 993M) Tue Nov 7 22:46:14 2017 random seeds: c70d777e 12db47e6 Tue Nov 7 22:46:14 2017 MPI process 0 of 4 Tue Nov 7 22:46:14 2017 factoring 446968172410122872992196388563123554199753477810992828395877112575518306619324701349248558096445378768374270606892728430431750550825937414107999299175967531699289648699961746620947 (180 digits) Tue Nov 7 22:46:15 2017 no P-1/P+1/ECM available, skipping Tue Nov 7 22:46:15 2017 commencing number field sieve (180-digit input) Tue Nov 7 22:46:15 2017 R0: 13606793610144465216226908028995378071 Tue Nov 7 22:46:15 2017 R1: -1 Tue Nov 7 22:46:15 2017 A0: -2387363771591 Tue Nov 7 22:46:15 2017 A1: 0 Tue Nov 7 22:46:15 2017 A2: 0 Tue Nov 7 22:46:15 2017 A3: 0 Tue Nov 7 22:46:15 2017 A4: 0 Tue Nov 7 22:46:15 2017 A5: 0 Tue Nov 7 22:46:15 2017 A6: 1 Tue Nov 7 22:46:15 2017 skew 115.61, size 6.337e-12, alpha -1.952, combined = 4.738e-13 rroots = 2 Tue Nov 7 22:46:15 2017 Tue Nov 7 22:46:15 2017 commencing linear algebra Tue Nov 7 22:46:16 2017 initialized process (0,0) of 2 x 2 grid Tue Nov 7 22:46:18 2017 read 7107453 cycles Tue Nov 7 22:46:32 2017 cycles contain 23461832 unique relations Tue Nov 7 22:52:36 2017 read 23461832 relations Tue Nov 7 22:53:07 2017 using 20 quadratic characters above 4294917295 Tue Nov 7 22:54:50 2017 building initial matrix Tue Nov 7 23:00:43 2017 memory use: 3129.0 MB Tue Nov 7 23:00:54 2017 read 7107453 cycles Tue Nov 7 23:00:55 2017 matrix is 7107276 x 7107453 (3525.9 MB) with weight 1047856161 (147.43/col) Tue Nov 7 23:00:55 2017 sparse part has weight 846101230 (119.04/col) Tue Nov 7 23:02:08 2017 filtering completed in 2 passes Tue Nov 7 23:02:09 2017 matrix is 7107069 x 7107246 (3525.8 MB) with weight 1047845273 (147.43/col) Tue Nov 7 23:02:09 2017 sparse part has weight 846096449 (119.05/col) Tue Nov 7 23:03:23 2017 matrix starts at (0, 0) Tue Nov 7 23:03:24 2017 matrix is 3553591 x 3553636 (976.4 MB) with weight 317741859 (89.41/col) Tue Nov 7 23:03:24 2017 sparse part has weight 216879380 (61.03/col) Tue Nov 7 23:03:24 2017 saving the first 48 matrix rows for later Tue Nov 7 23:03:24 2017 matrix includes 64 packed rows Tue Nov 7 23:03:36 2017 matrix is 3553543 x 3553636 (924.3 MB) with weight 245368790 (69.05/col) Tue Nov 7 23:03:36 2017 sparse part has weight 206767940 (58.18/col) Tue Nov 7 23:03:36 2017 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB Tue Nov 7 23:03:44 2017 commencing Lanczos iteration (20 threads) Tue Nov 7 23:03:44 2017 memory use: 768.8 MB Tue Nov 7 23:03:49 2017 linear algebra at 0.0%, ETA 5h12m Tue Nov 7 23:03:51 2017 checkpointing every 1220000 dimensions Wed Nov 8 05:48:24 2017 lanczos halted after 112392 iterations (dim = 7107017) Wed Nov 8 05:48:31 2017 recovered 36 nontrivial dependencies Wed Nov 8 05:48:37 2017 BLanczosTime: 25342 Wed Nov 8 05:48:37 2017 elapsed time 07:02:23 Wed Nov 8 05:48:40 2017 Wed Nov 8 05:48:40 2017 Wed Nov 8 05:48:40 2017 Msieve v. 1.53 (SVN 993M) Wed Nov 8 05:48:40 2017 random seeds: 62bec70a e48da0f2 Wed Nov 8 05:48:40 2017 MPI process 0 of 1 Wed Nov 8 05:48:40 2017 factoring 446968172410122872992196388563123554199753477810992828395877112575518306619324701349248558096445378768374270606892728430431750550825937414107999299175967531699289648699961746620947 (180 digits) Wed Nov 8 05:48:41 2017 no P-1/P+1/ECM available, skipping Wed Nov 8 05:48:41 2017 commencing number field sieve (180-digit input) Wed Nov 8 05:48:41 2017 R0: 13606793610144465216226908028995378071 Wed Nov 8 05:48:41 2017 R1: -1 Wed Nov 8 05:48:41 2017 A0: -2387363771591 Wed Nov 8 05:48:41 2017 A1: 0 Wed Nov 8 05:48:41 2017 A2: 0 Wed Nov 8 05:48:41 2017 A3: 0 Wed Nov 8 05:48:41 2017 A4: 0 Wed Nov 8 05:48:41 2017 A5: 0 Wed Nov 8 05:48:41 2017 A6: 1 Wed Nov 8 05:48:41 2017 skew 115.61, size 6.337e-12, alpha -1.952, combined = 4.738e-13 rroots = 2 Wed Nov 8 05:48:41 2017 Wed Nov 8 05:48:41 2017 commencing square root phase Wed Nov 8 05:48:41 2017 reading relations for dependency 1 Wed Nov 8 05:48:48 2017 read 3553563 cycles Wed Nov 8 05:48:54 2017 cycles contain 11731340 unique relations Wed Nov 8 05:53:06 2017 read 11731340 relations Wed Nov 8 05:53:51 2017 multiplying 11731340 relations Wed Nov 8 06:01:40 2017 multiply complete, coefficients have about 330.07 million bits Wed Nov 8 06:01:42 2017 initial square root is modulo 836713 Wed Nov 8 06:09:47 2017 sqrtTime: 1266 Wed Nov 8 06:09:57 2017 p59 factor: 51030085689644997866063020274104784147017401994443892052963 Wed Nov 8 06:09:57 2017 p121 factor: 8758914792510753207683078926037247580874309491618231132576329510905658148319396861718292192190526534034186148767699095569 Wed Nov 8 06:09:58 2017 elapsed time 00:21:18