Sat Jul 11 06:12:59 2020 Sat Jul 11 06:12:59 2020 Sat Jul 11 06:12:59 2020 Msieve v. 1.54 (SVN 1025) Sat Jul 11 06:12:59 2020 random seeds: 8169346f 9bb7c59c Sat Jul 11 06:12:59 2020 factoring 166475336856725846108688846256080427785608468694102278558130203234340226553694611185961585411365749158302834451728437050196915250807569913105783467566588693039798270894450993786189759013502915301737485240598091 (210 digits) Sat Jul 11 06:13:00 2020 searching for 15-digit factors Sat Jul 11 06:13:00 2020 commencing number field sieve (210-digit input) Sat Jul 11 06:13:00 2020 R0: 68255258401606827267825690896701994303488 Sat Jul 11 06:13:00 2020 R1: 1 Sat Jul 11 06:13:00 2020 A0: 1 Sat Jul 11 06:13:00 2020 A1: 0 Sat Jul 11 06:13:00 2020 A2: 0 Sat Jul 11 06:13:00 2020 A3: 0 Sat Jul 11 06:13:00 2020 A4: 0 Sat Jul 11 06:13:00 2020 A5: 0 Sat Jul 11 06:13:00 2020 A6: 88 Sat Jul 11 06:13:00 2020 skew 1.00, size 3.534e-12, alpha 0.480, combined = 2.966e-13 rroots = 0 Sat Jul 11 06:13:00 2020 Sat Jul 11 06:13:00 2020 commencing relation filtering Sat Jul 11 06:13:00 2020 setting target matrix density to 120.0 Sat Jul 11 06:13:00 2020 estimated available RAM is 16007.4 MB Sat Jul 11 06:13:00 2020 commencing duplicate removal, pass 1 Sat Jul 11 06:17:00 2020 error -1 reading relation 35206013 Sat Jul 11 06:17:00 2020 error -1 reading relation 35206014 Sat Jul 11 06:17:00 2020 error -1 reading relation 35236244 Sat Jul 11 06:17:00 2020 error -1 reading relation 35236245 Sat Jul 11 06:19:02 2020 error -1 reading relation 53105280 Sat Jul 11 06:22:24 2020 error -1 reading relation 82611119 Sat Jul 11 06:22:24 2020 error -1 reading relation 82611120 Sat Jul 11 06:22:24 2020 error -1 reading relation 82611121 Sat Jul 11 06:23:19 2020 error -1 reading relation 90738198 Sat Jul 11 06:24:42 2020 error -1 reading relation 102708673 Sat Jul 11 06:32:55 2020 error -15 reading relation 174748901 Sat Jul 11 06:35:07 2020 error -1 reading relation 194313185 Sat Jul 11 06:37:02 2020 error -9 reading relation 210233319 Sat Jul 11 06:37:03 2020 error -15 reading relation 210253376 Sat Jul 11 06:37:04 2020 error -5 reading relation 210431945 Sat Jul 11 06:37:06 2020 error -9 reading relation 210744133 Sat Jul 11 06:37:08 2020 error -9 reading relation 211036180 Sat Jul 11 06:37:08 2020 skipped 302 relations with b > 2^32 Sat Jul 11 06:37:08 2020 skipped 1 relations with composite factors Sat Jul 11 06:37:08 2020 found 10247568 hash collisions in 211089818 relations Sat Jul 11 06:37:19 2020 commencing duplicate removal, pass 2 Sat Jul 11 06:38:19 2020 found 625962 duplicates and 210463856 unique relations Sat Jul 11 06:38:19 2020 memory use: 522.4 MB Sat Jul 11 06:38:19 2020 reading ideals above 165740544 Sat Jul 11 06:38:19 2020 commencing singleton removal, initial pass Sat Jul 11 06:56:17 2020 memory use: 5512.0 MB Sat Jul 11 06:56:18 2020 reading all ideals from disk Sat Jul 11 06:56:26 2020 memory use: 3691.1 MB Sat Jul 11 06:56:33 2020 commencing in-memory singleton removal Sat Jul 11 06:56:40 2020 begin with 210463856 relations and 164859915 unique ideals Sat Jul 11 06:58:08 2020 reduce to 151798489 relations and 101305732 ideals in 13 passes Sat Jul 11 06:58:08 2020 max relations containing the same ideal: 47 Sat Jul 11 06:58:15 2020 reading ideals above 720000 Sat Jul 11 06:58:15 2020 commencing singleton removal, initial pass Sat Jul 11 07:14:47 2020 memory use: 3012.0 MB Sat Jul 11 07:14:47 2020 reading all ideals from disk Sat Jul 11 07:15:03 2020 memory use: 6003.2 MB Sat Jul 11 07:15:17 2020 keeping 119104959 ideals with weight <= 200, target excess is 751455 Sat Jul 11 07:15:34 2020 commencing in-memory singleton removal Sat Jul 11 07:15:45 2020 begin with 151798494 relations and 119104959 unique ideals Sat Jul 11 07:17:00 2020 reduce to 151797624 relations and 119104088 ideals in 6 passes Sat Jul 11 07:17:00 2020 max relations containing the same ideal: 200 Sat Jul 11 07:17:57 2020 removing 10226230 relations and 8226230 ideals in 2000000 cliques Sat Jul 11 07:18:00 2020 commencing in-memory singleton removal Sat Jul 11 07:18:11 2020 begin with 141571394 relations and 119104088 unique ideals Sat Jul 11 07:19:34 2020 reduce to 141003070 relations and 110299562 ideals in 7 passes Sat Jul 11 07:19:34 2020 max relations containing the same ideal: 199 Sat Jul 11 07:20:27 2020 removing 7874543 relations and 5874543 ideals in 2000000 cliques Sat Jul 11 07:20:30 2020 commencing in-memory singleton removal Sat Jul 11 07:20:41 2020 begin with 133128527 relations and 110299562 unique ideals Sat Jul 11 07:21:59 2020 reduce to 132748917 relations and 104039598 ideals in 7 passes Sat Jul 11 07:21:59 2020 max relations containing the same ideal: 193 Sat Jul 11 07:22:47 2020 removing 7186387 relations and 5186387 ideals in 2000000 cliques Sat Jul 11 07:22:50 2020 commencing in-memory singleton removal Sat Jul 11 07:22:59 2020 begin with 125562530 relations and 104039598 unique ideals Sat Jul 11 07:23:59 2020 reduce to 125229768 relations and 98515449 ideals in 6 passes Sat Jul 11 07:23:59 2020 max relations containing the same ideal: 187 Sat Jul 11 07:24:45 2020 removing 6830781 relations and 4830781 ideals in 2000000 cliques Sat Jul 11 07:24:47 2020 commencing in-memory singleton removal Sat Jul 11 07:24:56 2020 begin with 118398987 relations and 98515449 unique ideals Sat Jul 11 07:26:11 2020 reduce to 118087271 relations and 93368159 ideals in 8 passes Sat Jul 11 07:26:11 2020 max relations containing the same ideal: 180 Sat Jul 11 07:26:55 2020 removing 6612742 relations and 4612742 ideals in 2000000 cliques Sat Jul 11 07:26:58 2020 commencing in-memory singleton removal Sat Jul 11 07:27:06 2020 begin with 111474529 relations and 93368159 unique ideals Sat Jul 11 07:27:59 2020 reduce to 111173104 relations and 88449150 ideals in 6 passes Sat Jul 11 07:27:59 2020 max relations containing the same ideal: 173 Sat Jul 11 07:28:40 2020 removing 6469070 relations and 4469070 ideals in 2000000 cliques Sat Jul 11 07:28:43 2020 commencing in-memory singleton removal Sat Jul 11 07:28:50 2020 begin with 104704034 relations and 88449150 unique ideals Sat Jul 11 07:29:48 2020 reduce to 104405247 relations and 83676322 ideals in 7 passes Sat Jul 11 07:29:48 2020 max relations containing the same ideal: 168 Sat Jul 11 07:30:26 2020 removing 6369225 relations and 4369225 ideals in 2000000 cliques Sat Jul 11 07:30:29 2020 commencing in-memory singleton removal Sat Jul 11 07:30:36 2020 begin with 98036022 relations and 83676322 unique ideals Sat Jul 11 07:31:30 2020 reduce to 97735526 relations and 79001479 ideals in 7 passes Sat Jul 11 07:31:30 2020 max relations containing the same ideal: 161 Sat Jul 11 07:32:06 2020 removing 6301450 relations and 4301450 ideals in 2000000 cliques Sat Jul 11 07:32:09 2020 commencing in-memory singleton removal Sat Jul 11 07:32:15 2020 begin with 91434076 relations and 79001479 unique ideals Sat Jul 11 07:32:58 2020 reduce to 91125370 relations and 74385593 ideals in 6 passes Sat Jul 11 07:32:58 2020 max relations containing the same ideal: 153 Sat Jul 11 07:33:32 2020 removing 6256478 relations and 4256478 ideals in 2000000 cliques Sat Jul 11 07:33:35 2020 commencing in-memory singleton removal Sat Jul 11 07:33:41 2020 begin with 84868892 relations and 74385593 unique ideals Sat Jul 11 07:34:26 2020 reduce to 84548952 relations and 69802798 ideals in 7 passes Sat Jul 11 07:34:26 2020 max relations containing the same ideal: 147 Sat Jul 11 07:34:58 2020 removing 6232376 relations and 4232376 ideals in 2000000 cliques Sat Jul 11 07:35:00 2020 commencing in-memory singleton removal Sat Jul 11 07:35:05 2020 begin with 78316576 relations and 69802798 unique ideals Sat Jul 11 07:35:47 2020 reduce to 77978534 relations and 65225220 ideals in 7 passes Sat Jul 11 07:35:47 2020 max relations containing the same ideal: 136 Sat Jul 11 07:36:15 2020 removing 6224018 relations and 4224018 ideals in 2000000 cliques Sat Jul 11 07:36:18 2020 commencing in-memory singleton removal Sat Jul 11 07:36:22 2020 begin with 71754516 relations and 65225220 unique ideals Sat Jul 11 07:37:00 2020 reduce to 71396424 relations and 60635086 ideals in 7 passes Sat Jul 11 07:37:00 2020 max relations containing the same ideal: 128 Sat Jul 11 07:37:27 2020 removing 6227624 relations and 4227624 ideals in 2000000 cliques Sat Jul 11 07:37:30 2020 commencing in-memory singleton removal Sat Jul 11 07:37:34 2020 begin with 65168800 relations and 60635086 unique ideals Sat Jul 11 07:38:08 2020 reduce to 64779772 relations and 56009044 ideals in 7 passes Sat Jul 11 07:38:08 2020 max relations containing the same ideal: 121 Sat Jul 11 07:38:33 2020 removing 6252573 relations and 4252573 ideals in 2000000 cliques Sat Jul 11 07:38:35 2020 commencing in-memory singleton removal Sat Jul 11 07:38:39 2020 begin with 58527199 relations and 56009044 unique ideals Sat Jul 11 07:39:05 2020 reduce to 58099235 relations and 51317198 ideals in 6 passes Sat Jul 11 07:39:05 2020 max relations containing the same ideal: 114 Sat Jul 11 07:39:27 2020 removing 6296724 relations and 4296724 ideals in 2000000 cliques Sat Jul 11 07:39:29 2020 commencing in-memory singleton removal Sat Jul 11 07:39:32 2020 begin with 51802511 relations and 51317198 unique ideals Sat Jul 11 07:39:59 2020 reduce to 51319883 relations and 46523477 ideals in 7 passes Sat Jul 11 07:39:59 2020 max relations containing the same ideal: 104 Sat Jul 11 07:40:18 2020 removing 6353046 relations and 4353046 ideals in 2000000 cliques Sat Jul 11 07:40:20 2020 commencing in-memory singleton removal Sat Jul 11 07:40:23 2020 begin with 44966837 relations and 46523477 unique ideals Sat Jul 11 07:40:48 2020 reduce to 44406802 relations and 41591830 ideals in 8 passes Sat Jul 11 07:40:48 2020 max relations containing the same ideal: 95 Sat Jul 11 07:41:05 2020 removing 6293742 relations and 4350458 ideals in 1943284 cliques Sat Jul 11 07:41:06 2020 commencing in-memory singleton removal Sat Jul 11 07:41:09 2020 begin with 38113060 relations and 41591830 unique ideals Sat Jul 11 07:41:30 2020 reduce to 37461206 relations and 36565108 ideals in 8 passes Sat Jul 11 07:41:30 2020 max relations containing the same ideal: 85 Sat Jul 11 07:41:44 2020 removing 167767 relations and 143357 ideals in 24410 cliques Sat Jul 11 07:41:45 2020 commencing in-memory singleton removal Sat Jul 11 07:41:47 2020 begin with 37293439 relations and 36565108 unique ideals Sat Jul 11 07:42:00 2020 reduce to 37292893 relations and 36421205 ideals in 5 passes Sat Jul 11 07:42:00 2020 max relations containing the same ideal: 85 Sat Jul 11 07:42:07 2020 relations with 0 large ideals: 28549 Sat Jul 11 07:42:07 2020 relations with 1 large ideals: 11345 Sat Jul 11 07:42:07 2020 relations with 2 large ideals: 162658 Sat Jul 11 07:42:07 2020 relations with 3 large ideals: 1054090 Sat Jul 11 07:42:07 2020 relations with 4 large ideals: 3684321 Sat Jul 11 07:42:07 2020 relations with 5 large ideals: 7688531 Sat Jul 11 07:42:07 2020 relations with 6 large ideals: 10009250 Sat Jul 11 07:42:07 2020 relations with 7+ large ideals: 14654149 Sat Jul 11 07:42:07 2020 commencing 2-way merge Sat Jul 11 07:42:26 2020 reduce to 24847641 relation sets and 23975952 unique ideals Sat Jul 11 07:42:26 2020 commencing full merge Sat Jul 11 07:50:02 2020 memory use: 3130.1 MB Sat Jul 11 07:50:04 2020 found 11069115 cycles, need 11052152 Sat Jul 11 07:50:06 2020 weight of 11052152 cycles is about 1326523357 (120.02/cycle) Sat Jul 11 07:50:06 2020 distribution of cycle lengths: Sat Jul 11 07:50:06 2020 1 relations: 461114 Sat Jul 11 07:50:06 2020 2 relations: 657220 Sat Jul 11 07:50:06 2020 3 relations: 769173 Sat Jul 11 07:50:06 2020 4 relations: 797796 Sat Jul 11 07:50:06 2020 5 relations: 815439 Sat Jul 11 07:50:06 2020 6 relations: 813177 Sat Jul 11 07:50:06 2020 7 relations: 797747 Sat Jul 11 07:50:06 2020 8 relations: 761353 Sat Jul 11 07:50:06 2020 9 relations: 713937 Sat Jul 11 07:50:06 2020 10+ relations: 4465196 Sat Jul 11 07:50:06 2020 heaviest cycle: 28 relations Sat Jul 11 07:50:09 2020 commencing cycle optimization Sat Jul 11 07:50:27 2020 start with 99352009 relations Sat Jul 11 07:53:36 2020 pruned 4804994 relations Sat Jul 11 07:53:36 2020 memory use: 2569.7 MB Sat Jul 11 07:53:36 2020 distribution of cycle lengths: Sat Jul 11 07:53:36 2020 1 relations: 461114 Sat Jul 11 07:53:36 2020 2 relations: 673942 Sat Jul 11 07:53:36 2020 3 relations: 802697 Sat Jul 11 07:53:36 2020 4 relations: 831965 Sat Jul 11 07:53:36 2020 5 relations: 859033 Sat Jul 11 07:53:36 2020 6 relations: 855154 Sat Jul 11 07:53:36 2020 7 relations: 842024 Sat Jul 11 07:53:36 2020 8 relations: 799773 Sat Jul 11 07:53:36 2020 9 relations: 748614 Sat Jul 11 07:53:36 2020 10+ relations: 4177836 Sat Jul 11 07:53:36 2020 heaviest cycle: 28 relations Sat Jul 11 07:53:56 2020 RelProcTime: 6056 Sat Jul 11 07:53:56 2020 Sat Jul 11 07:53:56 2020 commencing linear algebra Sat Jul 11 07:53:57 2020 read 11052152 cycles Sat Jul 11 07:54:15 2020 cycles contain 36823830 unique relations Sat Jul 11 07:57:17 2020 read 36823830 relations Sat Jul 11 07:58:08 2020 using 20 quadratic characters above 4294917295 Sat Jul 11 08:00:27 2020 building initial matrix Sat Jul 11 08:06:42 2020 memory use: 4750.0 MB Sat Jul 11 08:06:47 2020 read 11052152 cycles Sat Jul 11 08:06:48 2020 matrix is 11051975 x 11052152 (5165.0 MB) with weight 1503988454 (136.08/col) Sat Jul 11 08:06:48 2020 sparse part has weight 1232393689 (111.51/col) Sat Jul 11 08:08:54 2020 filtering completed in 2 passes Sat Jul 11 08:08:56 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col) Sat Jul 11 08:08:56 2020 sparse part has weight 1232392121 (111.51/col) Sat Jul 11 08:09:30 2020 matrix starts at (0, 0) Sat Jul 11 08:09:32 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col) Sat Jul 11 08:09:32 2020 sparse part has weight 1232392121 (111.51/col) Sat Jul 11 08:09:32 2020 saving the first 48 matrix rows for later Sat Jul 11 08:09:33 2020 matrix includes 64 packed rows Sat Jul 11 08:09:35 2020 matrix is 11051780 x 11052002 (4981.3 MB) with weight 1295483681 (117.22/col) Sat Jul 11 08:09:35 2020 sparse part has weight 1195302745 (108.15/col) Sat Jul 11 08:09:35 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sat Jul 11 08:10:06 2020 commencing Lanczos iteration (4 threads) Sat Jul 11 08:10:06 2020 memory use: 4752.9 MB Sat Jul 11 08:10:56 2020 linear algebra at 0.0%, ETA 97h19m Sat Jul 11 08:11:13 2020 checkpointing every 120000 dimensions Mon Jul 13 03:51:12 2020 error: corrupt state, please restart from checkpoint Mon Jul 13 06:19:27 2020 Mon Jul 13 06:19:27 2020 Mon Jul 13 06:19:27 2020 Msieve v. 1.54 (SVN 1025) Mon Jul 13 06:19:27 2020 random seeds: cd8c50f7 ff6b48fc Mon Jul 13 06:19:27 2020 factoring 166475336856725846108688846256080427785608468694102278558130203234340226553694611185961585411365749158302834451728437050196915250807569913105783467566588693039798270894450993786189759013502915301737485240598091 (210 digits) Mon Jul 13 06:19:28 2020 searching for 15-digit factors Mon Jul 13 06:19:28 2020 commencing number field sieve (210-digit input) Mon Jul 13 06:19:28 2020 R0: 68255258401606827267825690896701994303488 Mon Jul 13 06:19:28 2020 R1: 1 Mon Jul 13 06:19:28 2020 A0: 1 Mon Jul 13 06:19:28 2020 A1: 0 Mon Jul 13 06:19:28 2020 A2: 0 Mon Jul 13 06:19:28 2020 A3: 0 Mon Jul 13 06:19:28 2020 A4: 0 Mon Jul 13 06:19:28 2020 A5: 0 Mon Jul 13 06:19:28 2020 A6: 88 Mon Jul 13 06:19:28 2020 skew 1.00, size 3.534e-12, alpha 0.480, combined = 2.966e-13 rroots = 0 Mon Jul 13 06:19:28 2020 Mon Jul 13 06:19:28 2020 commencing linear algebra Mon Jul 13 06:19:28 2020 skipping matrix build Mon Jul 13 06:19:31 2020 matrix starts at (0, 0) Mon Jul 13 06:19:32 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col) Mon Jul 13 06:19:32 2020 sparse part has weight 1232392121 (111.51/col) Mon Jul 13 06:19:32 2020 saving the first 48 matrix rows for later Mon Jul 13 06:19:34 2020 matrix includes 64 packed rows Mon Jul 13 06:19:35 2020 matrix is 11051780 x 11052002 (4981.3 MB) with weight 1295483681 (117.22/col) Mon Jul 13 06:19:35 2020 sparse part has weight 1195302745 (108.15/col) Mon Jul 13 06:19:35 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon Jul 13 06:20:06 2020 commencing Lanczos iteration (4 threads) Mon Jul 13 06:20:06 2020 memory use: 4752.9 MB Mon Jul 13 06:20:07 2020 restarting at iteration 74012 (dim = 4680052) Mon Jul 13 06:20:59 2020 linear algebra at 42.4%, ETA 60h39m Mon Jul 13 06:21:14 2020 checkpointing every 110000 dimensions Wed Jul 15 16:32:21 2020 lanczos halted after 174768 iterations (dim = 11051779) Wed Jul 15 16:32:31 2020 recovered 37 nontrivial dependencies Wed Jul 15 16:32:31 2020 BLanczosTime: 209583 Wed Jul 15 16:32:31 2020 Wed Jul 15 16:32:31 2020 commencing square root phase Wed Jul 15 16:32:31 2020 handling dependencies 1 to 64 Wed Jul 15 16:32:31 2020 reading relations for dependency 1 Wed Jul 15 16:32:32 2020 read 5528653 cycles Wed Jul 15 16:32:41 2020 cycles contain 18414070 unique relations Wed Jul 15 16:34:22 2020 read 18414070 relations Wed Jul 15 16:35:23 2020 multiplying 18414070 relations Wed Jul 15 16:49:04 2020 multiply complete, coefficients have about 569.51 million bits Wed Jul 15 16:49:06 2020 initial square root is modulo 128659 Wed Jul 15 17:03:45 2020 sqrtTime: 1874 Wed Jul 15 17:03:45 2020 p92 factor: 16663982719926457847714903059399228249084384114688985854195934667430179496982025044970843531 Wed Jul 15 17:03:45 2020 p118 factor: 9990128989851745459335683047883646231755174006381094670405887049271844705016236970242020394316837363877335505086941761 Wed Jul 15 17:03:45 2020 elapsed time 58:44:18