Sun Jul 11 10:25:04 2021 Sun Jul 11 10:25:04 2021 Sun Jul 11 10:25:04 2021 Msieve v. 1.54 (SVN 1040M) Sun Jul 11 10:25:04 2021 random seeds: f73fcb56 69e57a2a Sun Jul 11 10:25:04 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Sun Jul 11 10:25:04 2021 searching for 15-digit factors Sun Jul 11 10:25:05 2021 commencing number field sieve (187-digit input) Sun Jul 11 10:25:05 2021 R0: -1837355093879454551992476655627891373 Sun Jul 11 10:25:05 2021 R1: 1603663528873729260917347 Sun Jul 11 10:25:05 2021 A0: -77399909126113715234068610027453991187050 Sun Jul 11 10:25:05 2021 A1: 7408666124729172888703427183657859 Sun Jul 11 10:25:05 2021 A2: 54296209407067855694787613145 Sun Jul 11 10:25:05 2021 A3: -2226710191977735186994 Sun Jul 11 10:25:05 2021 A4: -1633277965386340 Sun Jul 11 10:25:05 2021 A5: -57380400 Sun Jul 11 10:25:05 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Sun Jul 11 10:25:05 2021 Sun Jul 11 10:25:05 2021 commencing relation filtering Sun Jul 11 10:25:05 2021 setting target matrix density to 124.0 Sun Jul 11 10:25:05 2021 estimated available RAM is 32768.0 MB Sun Jul 11 10:25:05 2021 commencing duplicate removal, pass 1 Sun Jul 11 10:30:29 2021 error -15 reading relation 52286592 Sun Jul 11 10:34:29 2021 error -15 reading relation 90811581 Sun Jul 11 10:37:38 2021 error -15 reading relation 121047364 Sun Jul 11 10:37:38 2021 error -15 reading relation 121060189 Sun Jul 11 10:37:53 2021 error -15 reading relation 123499915 Sun Jul 11 10:37:53 2021 error -15 reading relation 123518142 Sun Jul 11 10:37:53 2021 error -11 reading relation 123578125 Sun Jul 11 10:37:54 2021 error -11 reading relation 123707782 Sun Jul 11 10:42:48 2021 error -1 reading relation 170788437 Sun Jul 11 10:43:07 2021 error -11 reading relation 173789732 Sun Jul 11 10:43:33 2021 error -15 reading relation 177873211 Sun Jul 11 10:45:14 2021 error -1 reading relation 194062605 Sun Jul 11 10:45:53 2021 error -15 reading relation 200354020 Sun Jul 11 10:45:53 2021 error -9 reading relation 200354021 Sun Jul 11 10:45:53 2021 error -15 reading relation 200354022 Sun Jul 11 10:45:53 2021 error -6 reading relation 200354027 Sun Jul 11 10:45:53 2021 error -11 reading relation 200354035 Sun Jul 11 10:45:53 2021 error -11 reading relation 200354039 Sun Jul 11 10:45:56 2021 error -15 reading relation 200828633 Sun Jul 11 10:46:41 2021 error -15 reading relation 207942648 Sun Jul 11 10:48:36 2021 error -11 reading relation 226190572 Sun Jul 11 10:48:55 2021 error -11 reading relation 229300938 Sun Jul 11 10:49:03 2021 error -15 reading relation 230616276 Sun Jul 11 10:49:04 2021 error -11 reading relation 230622310 Sun Jul 11 10:49:04 2021 error -1 reading relation 230637875 Sun Jul 11 10:49:04 2021 error -1 reading relation 230642210 Sun Jul 11 10:49:04 2021 error -15 reading relation 230735357 Sun Jul 11 10:49:04 2021 error -1 reading relation 230737796 Sun Jul 11 10:49:04 2021 error -11 reading relation 230737917 Sun Jul 11 10:49:05 2021 error -1 reading relation 230862056 Sun Jul 11 10:49:05 2021 error -1 reading relation 230868208 Sun Jul 11 10:50:57 2021 error -5 reading relation 248655108 Sun Jul 11 10:51:08 2021 error -15 reading relation 250501532 Sun Jul 11 10:54:13 2021 error -15 reading relation 279898034 Sun Jul 11 10:55:53 2021 error -15 reading relation 295798678 Sun Jul 11 10:55:53 2021 error -11 reading relation 295800373 Sun Jul 11 10:55:53 2021 error -1 reading relation 295824567 Sun Jul 11 10:56:23 2021 error -1 reading relation 300488882 Sun Jul 11 10:56:58 2021 error -11 reading relation 306042521 Sun Jul 11 10:56:59 2021 error -6 reading relation 306309082 Sun Jul 11 10:59:03 2021 error -15 reading relation 325946438 Sun Jul 11 11:01:37 2021 error -11 reading relation 350290601 Sun Jul 11 11:02:29 2021 error -11 reading relation 358519256 Sun Jul 11 11:02:59 2021 skipped 1 relations with b > 2^32 Sun Jul 11 11:02:59 2021 skipped 26 relations with composite factors Sun Jul 11 11:02:59 2021 found 27519387 hash collisions in 363199861 relations Sun Jul 11 11:03:20 2021 added 121332 free relations Sun Jul 11 11:03:20 2021 commencing duplicate removal, pass 2 Sun Jul 11 11:19:17 2021 found 5 duplicates and 363321188 unique relations Sun Jul 11 11:19:17 2021 memory use: 1321.5 MB Sun Jul 11 11:19:17 2021 reading ideals above 309919744 Sun Jul 11 11:19:17 2021 commencing singleton removal, initial pass Sun Jul 11 11:46:32 2021 memory use: 6024.0 MB Sun Jul 11 11:46:33 2021 reading all ideals from disk Sun Jul 11 11:49:05 2021 memory use: 6448.6 MB Sun Jul 11 11:49:18 2021 commencing in-memory singleton removal Sun Jul 11 11:49:31 2021 begin with 363321188 relations and 307442102 unique ideals Sun Jul 11 11:51:30 2021 reduce to 235554281 relations and 166779323 ideals in 14 passes Sun Jul 11 11:51:30 2021 max relations containing the same ideal: 42 Sun Jul 11 11:51:58 2021 reading ideals above 720000 Sun Jul 11 11:51:59 2021 commencing singleton removal, initial pass Sun Jul 11 12:16:32 2021 memory use: 5512.0 MB Sun Jul 11 12:16:32 2021 reading all ideals from disk Sun Jul 11 12:20:29 2021 memory use: 10022.7 MB Sun Jul 11 12:20:53 2021 keeping 199058352 ideals with weight <= 200, target excess is 1231145 Sun Jul 11 12:21:18 2021 commencing in-memory singleton removal Sun Jul 11 12:21:36 2021 begin with 235554281 relations and 199058352 unique ideals Sun Jul 11 12:24:13 2021 reduce to 235483624 relations and 198987691 ideals in 9 passes Sun Jul 11 12:24:13 2021 max relations containing the same ideal: 200 Sun Jul 11 12:25:49 2021 removing 13490189 relations and 11490189 ideals in 2000000 cliques Sun Jul 11 12:25:57 2021 commencing in-memory singleton removal Sun Jul 11 12:26:14 2021 begin with 221993435 relations and 198987691 unique ideals Sun Jul 11 12:28:31 2021 reduce to 221395663 relations and 186892905 ideals in 9 passes Sun Jul 11 12:28:31 2021 max relations containing the same ideal: 199 Sun Jul 11 12:30:02 2021 removing 10189074 relations and 8189074 ideals in 2000000 cliques Sun Jul 11 12:30:08 2021 commencing in-memory singleton removal Sun Jul 11 12:30:24 2021 begin with 211206589 relations and 186892905 unique ideals Sun Jul 11 12:32:05 2021 reduce to 210825435 relations and 178319008 ideals in 7 passes Sun Jul 11 12:32:05 2021 max relations containing the same ideal: 194 Sun Jul 11 12:33:31 2021 removing 9165542 relations and 7165542 ideals in 2000000 cliques Sun Jul 11 12:33:37 2021 commencing in-memory singleton removal Sun Jul 11 12:33:52 2021 begin with 201659893 relations and 178319008 unique ideals Sun Jul 11 12:35:28 2021 reduce to 201331747 relations and 170822302 ideals in 7 passes Sun Jul 11 12:35:28 2021 max relations containing the same ideal: 191 Sun Jul 11 12:36:50 2021 removing 8609169 relations and 6609169 ideals in 2000000 cliques Sun Jul 11 12:36:56 2021 commencing in-memory singleton removal Sun Jul 11 12:37:10 2021 begin with 192722578 relations and 170822302 unique ideals Sun Jul 11 12:38:42 2021 reduce to 192419941 relations and 163907613 ideals in 7 passes Sun Jul 11 12:38:42 2021 max relations containing the same ideal: 185 Sun Jul 11 12:40:01 2021 removing 8249569 relations and 6249569 ideals in 2000000 cliques Sun Jul 11 12:40:06 2021 commencing in-memory singleton removal Sun Jul 11 12:40:20 2021 begin with 184170372 relations and 163907613 unique ideals Sun Jul 11 12:41:47 2021 reduce to 183879053 relations and 157363887 ideals in 7 passes Sun Jul 11 12:41:47 2021 max relations containing the same ideal: 181 Sun Jul 11 12:43:03 2021 removing 8007167 relations and 6007167 ideals in 2000000 cliques Sun Jul 11 12:43:08 2021 commencing in-memory singleton removal Sun Jul 11 12:43:21 2021 begin with 175871886 relations and 157363887 unique ideals Sun Jul 11 12:44:45 2021 reduce to 175585055 relations and 151067006 ideals in 7 passes Sun Jul 11 12:44:45 2021 max relations containing the same ideal: 176 Sun Jul 11 12:45:58 2021 removing 7833326 relations and 5833326 ideals in 2000000 cliques Sun Jul 11 12:46:03 2021 commencing in-memory singleton removal Sun Jul 11 12:46:16 2021 begin with 167751729 relations and 151067006 unique ideals Sun Jul 11 12:47:34 2021 reduce to 167466884 relations and 144945888 ideals in 7 passes Sun Jul 11 12:47:34 2021 max relations containing the same ideal: 170 Sun Jul 11 12:48:44 2021 removing 7708300 relations and 5708300 ideals in 2000000 cliques Sun Jul 11 12:48:49 2021 commencing in-memory singleton removal Sun Jul 11 12:49:01 2021 begin with 159758584 relations and 144945888 unique ideals Sun Jul 11 12:50:15 2021 reduce to 159470453 relations and 138946397 ideals in 7 passes Sun Jul 11 12:50:15 2021 max relations containing the same ideal: 167 Sun Jul 11 12:51:22 2021 removing 7620363 relations and 5620363 ideals in 2000000 cliques Sun Jul 11 12:51:27 2021 commencing in-memory singleton removal Sun Jul 11 12:51:38 2021 begin with 151850090 relations and 138946397 unique ideals Sun Jul 11 12:52:49 2021 reduce to 151555212 relations and 133027939 ideals in 7 passes Sun Jul 11 12:52:49 2021 max relations containing the same ideal: 161 Sun Jul 11 12:53:52 2021 removing 7562516 relations and 5562516 ideals in 2000000 cliques Sun Jul 11 12:53:57 2021 commencing in-memory singleton removal Sun Jul 11 12:54:07 2021 begin with 143992696 relations and 133027939 unique ideals Sun Jul 11 12:55:14 2021 reduce to 143688475 relations and 127157640 ideals in 7 passes Sun Jul 11 12:55:14 2021 max relations containing the same ideal: 155 Sun Jul 11 12:56:15 2021 removing 7527961 relations and 5527961 ideals in 2000000 cliques Sun Jul 11 12:56:19 2021 commencing in-memory singleton removal Sun Jul 11 12:56:29 2021 begin with 136160514 relations and 127157640 unique ideals Sun Jul 11 12:57:32 2021 reduce to 135844948 relations and 121310224 ideals in 7 passes Sun Jul 11 12:57:32 2021 max relations containing the same ideal: 150 Sun Jul 11 12:58:29 2021 removing 7514708 relations and 5514708 ideals in 2000000 cliques Sun Jul 11 12:58:33 2021 commencing in-memory singleton removal Sun Jul 11 12:58:42 2021 begin with 128330240 relations and 121310224 unique ideals Sun Jul 11 12:59:41 2021 reduce to 127999377 relations and 115460347 ideals in 7 passes Sun Jul 11 12:59:41 2021 max relations containing the same ideal: 143 Sun Jul 11 13:00:35 2021 removing 7518502 relations and 5518502 ideals in 2000000 cliques Sun Jul 11 13:00:39 2021 commencing in-memory singleton removal Sun Jul 11 13:00:47 2021 begin with 120480875 relations and 115460347 unique ideals Sun Jul 11 13:01:43 2021 reduce to 120131359 relations and 109587728 ideals in 7 passes Sun Jul 11 13:01:43 2021 max relations containing the same ideal: 138 Sun Jul 11 13:02:34 2021 removing 7541656 relations and 5541656 ideals in 2000000 cliques Sun Jul 11 13:02:38 2021 commencing in-memory singleton removal Sun Jul 11 13:02:46 2021 begin with 112589703 relations and 109587728 unique ideals Sun Jul 11 13:03:44 2021 reduce to 112216140 relations and 103667321 ideals in 8 passes Sun Jul 11 13:03:44 2021 max relations containing the same ideal: 132 Sun Jul 11 13:04:32 2021 removing 7584201 relations and 5584201 ideals in 2000000 cliques Sun Jul 11 13:04:36 2021 commencing in-memory singleton removal Sun Jul 11 13:04:43 2021 begin with 104631939 relations and 103667321 unique ideals Sun Jul 11 13:05:37 2021 reduce to 104228753 relations and 97673831 ideals in 8 passes Sun Jul 11 13:05:37 2021 max relations containing the same ideal: 123 Sun Jul 11 13:06:23 2021 removing 7645952 relations and 5645952 ideals in 2000000 cliques Sun Jul 11 13:06:26 2021 commencing in-memory singleton removal Sun Jul 11 13:06:33 2021 begin with 96582801 relations and 97673831 unique ideals Sun Jul 11 13:07:16 2021 reduce to 96142096 relations and 91580191 ideals in 7 passes Sun Jul 11 13:07:16 2021 max relations containing the same ideal: 117 Sun Jul 11 13:07:58 2021 removing 7731238 relations and 5731238 ideals in 2000000 cliques Sun Jul 11 13:08:01 2021 commencing in-memory singleton removal Sun Jul 11 13:08:07 2021 begin with 88410858 relations and 91580191 unique ideals Sun Jul 11 13:08:53 2021 reduce to 87920249 relations and 85349812 ideals in 8 passes Sun Jul 11 13:08:53 2021 max relations containing the same ideal: 111 Sun Jul 11 13:09:31 2021 removing 4995871 relations and 3853563 ideals in 1142308 cliques Sun Jul 11 13:09:34 2021 commencing in-memory singleton removal Sun Jul 11 13:09:40 2021 begin with 82924378 relations and 85349812 unique ideals Sun Jul 11 13:10:17 2021 reduce to 82711942 relations and 81281540 ideals in 7 passes Sun Jul 11 13:10:17 2021 max relations containing the same ideal: 107 Sun Jul 11 13:11:02 2021 relations with 0 large ideals: 4367 Sun Jul 11 13:11:02 2021 relations with 1 large ideals: 11838 Sun Jul 11 13:11:02 2021 relations with 2 large ideals: 189360 Sun Jul 11 13:11:02 2021 relations with 3 large ideals: 1398926 Sun Jul 11 13:11:02 2021 relations with 4 large ideals: 5618205 Sun Jul 11 13:11:02 2021 relations with 5 large ideals: 13670194 Sun Jul 11 13:11:02 2021 relations with 6 large ideals: 21150179 Sun Jul 11 13:11:02 2021 relations with 7+ large ideals: 40668873 Sun Jul 11 13:11:02 2021 commencing 2-way merge Sun Jul 11 13:11:55 2021 reduce to 53373455 relation sets and 51943053 unique ideals Sun Jul 11 13:11:55 2021 commencing full merge Sun Jul 11 13:30:34 2021 memory use: 6478.6 MB Sun Jul 11 13:30:47 2021 found 23801430 cycles, need 23729253 Sun Jul 11 13:30:48 2021 weight of 23729253 cycles is about 2943079740 (124.03/cycle) Sun Jul 11 13:30:48 2021 distribution of cycle lengths: Sun Jul 11 13:30:48 2021 1 relations: 1298975 Sun Jul 11 13:30:48 2021 2 relations: 1594007 Sun Jul 11 13:30:48 2021 3 relations: 1756191 Sun Jul 11 13:30:48 2021 4 relations: 1745272 Sun Jul 11 13:30:48 2021 5 relations: 1771135 Sun Jul 11 13:30:48 2021 6 relations: 1709302 Sun Jul 11 13:30:48 2021 7 relations: 1668361 Sun Jul 11 13:30:48 2021 8 relations: 1581402 Sun Jul 11 13:30:48 2021 9 relations: 1494338 Sun Jul 11 13:30:48 2021 10+ relations: 9110270 Sun Jul 11 13:30:48 2021 heaviest cycle: 28 relations Sun Jul 11 13:30:59 2021 commencing cycle optimization Sun Jul 11 13:31:52 2021 start with 203885401 relations Sun Jul 11 13:40:28 2021 pruned 9034949 relations Sun Jul 11 13:40:28 2021 memory use: 5512.9 MB Sun Jul 11 13:40:28 2021 distribution of cycle lengths: Sun Jul 11 13:40:28 2021 1 relations: 1298975 Sun Jul 11 13:40:28 2021 2 relations: 1637314 Sun Jul 11 13:40:28 2021 3 relations: 1833072 Sun Jul 11 13:40:28 2021 4 relations: 1817449 Sun Jul 11 13:40:28 2021 5 relations: 1855659 Sun Jul 11 13:40:28 2021 6 relations: 1787070 Sun Jul 11 13:40:28 2021 7 relations: 1747344 Sun Jul 11 13:40:28 2021 8 relations: 1651156 Sun Jul 11 13:40:28 2021 9 relations: 1555202 Sun Jul 11 13:40:28 2021 10+ relations: 8546012 Sun Jul 11 13:40:28 2021 heaviest cycle: 28 relations Sun Jul 11 13:41:46 2021 RelProcTime: 11801 Sun Jul 11 13:41:46 2021 Sun Jul 11 13:41:46 2021 commencing linear algebra Sun Jul 11 13:41:50 2021 read 23729253 cycles Sun Jul 11 13:42:41 2021 cycles contain 81896641 unique relations Sun Jul 11 13:58:41 2021 read 81896641 relations Sun Jul 11 14:02:13 2021 using 20 quadratic characters above 4294917295 Sun Jul 11 14:07:12 2021 building initial matrix Sun Jul 11 14:22:54 2021 memory use: 11669.5 MB Sun Jul 11 14:27:44 2021 read 23729253 cycles Sun Jul 11 14:27:47 2021 matrix is 23729076 x 23729253 (11556.7 MB) with weight 3498987864 (147.45/col) Sun Jul 11 14:27:47 2021 sparse part has weight 2744769931 (115.67/col) Sun Jul 11 14:32:29 2021 filtering completed in 2 passes Sun Jul 11 14:32:33 2021 matrix is 23728631 x 23728808 (11556.7 MB) with weight 3498967184 (147.46/col) Sun Jul 11 14:32:33 2021 sparse part has weight 2744763928 (115.67/col) Sun Jul 11 14:38:42 2021 matrix starts at (0, 0) Sun Jul 11 14:38:45 2021 matrix is 23728631 x 23728808 (11556.7 MB) with weight 3498967184 (147.46/col) Sun Jul 11 14:38:45 2021 sparse part has weight 2744763928 (115.67/col) Sun Jul 11 14:38:45 2021 saving the first 48 matrix rows for later Sun Jul 11 14:38:48 2021 matrix includes 64 packed rows Sun Jul 11 14:38:50 2021 matrix is 23728583 x 23728808 (11221.1 MB) with weight 2999146940 (126.39/col) Sun Jul 11 14:38:50 2021 sparse part has weight 2704255817 (113.97/col) Sun Jul 11 14:38:50 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun Jul 11 14:40:28 2021 commencing Lanczos iteration (16 threads) Sun Jul 11 14:40:28 2021 memory use: 10759.5 MB Sun Jul 11 14:41:02 2021 linear algebra at 0.0%, ETA 139h 1m Sun Jul 11 14:41:13 2021 checkpointing every 170000 dimensions Thu Jul 15 16:22:19 2021 Thu Jul 15 16:22:19 2021 Thu Jul 15 16:22:19 2021 Msieve v. 1.54 (SVN 1040M) Thu Jul 15 16:22:19 2021 random seeds: 608a69e8 d89171c8 Thu Jul 15 16:22:19 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Thu Jul 15 16:22:19 2021 searching for 15-digit factors Thu Jul 15 16:22:19 2021 commencing number field sieve (187-digit input) Thu Jul 15 16:22:19 2021 R0: -1837355093879454551992476655627891373 Thu Jul 15 16:22:19 2021 R1: 1603663528873729260917347 Thu Jul 15 16:22:19 2021 A0: -77399909126113715234068610027453991187050 Thu Jul 15 16:22:19 2021 A1: 7408666124729172888703427183657859 Thu Jul 15 16:22:19 2021 A2: 54296209407067855694787613145 Thu Jul 15 16:22:19 2021 A3: -2226710191977735186994 Thu Jul 15 16:22:19 2021 A4: -1633277965386340 Thu Jul 15 16:22:19 2021 A5: -57380400 Thu Jul 15 16:22:19 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Thu Jul 15 16:22:19 2021 Thu Jul 15 16:22:19 2021 commencing linear algebra Thu Jul 15 16:26:36 2021 matrix starts at (0, 0) Thu Jul 15 16:26:38 2021 matrix is 23728631 x 23728808 (11556.7 MB) with weight 3498967184 (147.46/col) Thu Jul 15 16:26:38 2021 sparse part has weight 2744763928 (115.67/col) Thu Jul 15 16:26:38 2021 saving the first 48 matrix rows for later Thu Jul 15 16:26:41 2021 matrix includes 64 packed rows Thu Jul 15 16:26:43 2021 matrix is 23728583 x 23728808 (11221.1 MB) with weight 2999146940 (126.39/col) Thu Jul 15 16:26:43 2021 sparse part has weight 2704255817 (113.97/col) Thu Jul 15 16:26:43 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Thu Jul 15 16:28:19 2021 commencing Lanczos iteration (16 threads) Thu Jul 15 16:28:19 2021 memory use: 10759.5 MB Thu Jul 15 16:28:41 2021 restarting at iteration 252700 (dim = 15980046) Thu Jul 15 16:29:11 2021 linear algebra at 67.4%, ETA 42h36m Thu Jul 15 16:29:20 2021 checkpointing every 190000 dimensions Fri Jul 16 10:29:00 2021 Fri Jul 16 10:29:00 2021 Fri Jul 16 10:29:00 2021 Msieve v. 1.54 (SVN 1040M) Fri Jul 16 10:29:00 2021 random seeds: b9ddddb4 f5c4e9db Fri Jul 16 10:29:00 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Fri Jul 16 10:29:01 2021 searching for 15-digit factors Fri Jul 16 10:29:01 2021 commencing number field sieve (187-digit input) Fri Jul 16 10:29:01 2021 R0: -1837355093879454551992476655627891373 Fri Jul 16 10:29:01 2021 R1: 1603663528873729260917347 Fri Jul 16 10:29:01 2021 A0: -77399909126113715234068610027453991187050 Fri Jul 16 10:29:01 2021 A1: 7408666124729172888703427183657859 Fri Jul 16 10:29:01 2021 A2: 54296209407067855694787613145 Fri Jul 16 10:29:01 2021 A3: -2226710191977735186994 Fri Jul 16 10:29:01 2021 A4: -1633277965386340 Fri Jul 16 10:29:01 2021 A5: -57380400 Fri Jul 16 10:29:01 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Fri Jul 16 10:29:01 2021 Fri Jul 16 10:29:01 2021 commencing linear algebra Fri Jul 16 10:33:18 2021 matrix starts at (0, 0) Fri Jul 16 10:33:20 2021 matrix is 23728631 x 23728808 (11556.7 MB) with weight 3498967184 (147.46/col) Fri Jul 16 10:33:20 2021 sparse part has weight 2744763928 (115.67/col) Fri Jul 16 10:33:20 2021 saving the first 48 matrix rows for later Fri Jul 16 10:33:23 2021 matrix includes 64 packed rows Fri Jul 16 10:33:25 2021 matrix is 23728583 x 23728808 (11221.1 MB) with weight 2999146940 (126.39/col) Fri Jul 16 10:33:25 2021 sparse part has weight 2704255817 (113.97/col) Fri Jul 16 10:33:25 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Fri Jul 16 10:35:01 2021 commencing Lanczos iteration (16 threads) Fri Jul 16 10:35:01 2021 memory use: 10759.5 MB Fri Jul 16 10:35:23 2021 restarting at iteration 303460 (dim = 19190018) Fri Jul 16 10:35:54 2021 linear algebra at 80.9%, ETA 25h53m Fri Jul 16 10:36:04 2021 checkpointing every 180000 dimensions Fri Jul 16 10:49:53 2021 Fri Jul 16 10:49:53 2021 Fri Jul 16 10:49:53 2021 Msieve v. 1.54 (SVN 1040M) Fri Jul 16 10:49:53 2021 random seeds: 399c979f 665c609a Fri Jul 16 10:49:53 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Fri Jul 16 10:49:54 2021 searching for 15-digit factors Fri Jul 16 10:49:54 2021 commencing number field sieve (187-digit input) Fri Jul 16 10:49:54 2021 R0: -1837355093879454551992476655627891373 Fri Jul 16 10:49:54 2021 R1: 1603663528873729260917347 Fri Jul 16 10:49:54 2021 A0: -77399909126113715234068610027453991187050 Fri Jul 16 10:49:54 2021 A1: 7408666124729172888703427183657859 Fri Jul 16 10:49:54 2021 A2: 54296209407067855694787613145 Fri Jul 16 10:49:54 2021 A3: -2226710191977735186994 Fri Jul 16 10:49:54 2021 A4: -1633277965386340 Fri Jul 16 10:49:54 2021 A5: -57380400 Fri Jul 16 10:49:54 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Fri Jul 16 10:49:54 2021 Fri Jul 16 10:49:54 2021 commencing linear algebra Fri Jul 16 10:54:11 2021 matrix starts at (0, 0) Fri Jul 16 10:54:13 2021 matrix is 23728631 x 23728808 (11556.7 MB) with weight 3498967184 (147.46/col) Fri Jul 16 10:54:13 2021 sparse part has weight 2744763928 (115.67/col) Fri Jul 16 10:54:13 2021 saving the first 48 matrix rows for later Fri Jul 16 10:54:16 2021 matrix includes 64 packed rows Fri Jul 16 10:54:18 2021 matrix is 23728583 x 23728808 (11221.1 MB) with weight 2999146940 (126.39/col) Fri Jul 16 10:54:18 2021 sparse part has weight 2704255817 (113.97/col) Fri Jul 16 10:54:18 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Fri Jul 16 10:55:59 2021 commencing Lanczos iteration (16 threads) Fri Jul 16 10:55:59 2021 memory use: 10759.5 MB Fri Jul 16 10:56:21 2021 restarting at iteration 303460 (dim = 19190018) Fri Jul 16 10:56:52 2021 linear algebra at 80.9%, ETA 25h53m Fri Jul 16 10:57:03 2021 checkpointing every 180000 dimensions Sat Jul 17 12:59:38 2021 lanczos halted after 375232 iterations (dim = 23728581) Sat Jul 17 12:59:59 2021 recovered 29 nontrivial dependencies Sat Jul 17 13:00:17 2021 BLanczosTime: 94223 Sat Jul 17 13:00:17 2021 Sat Jul 17 13:00:17 2021 commencing square root phase Sat Jul 17 13:00:17 2021 cannot handle negative leading algebraic polynomial coefficient Sat Jul 17 13:00:17 2021 sqrtTime: 0 Sat Jul 17 13:00:17 2021 elapsed time 26:10:24 Sat Jul 17 15:29:42 2021 Sat Jul 17 15:29:42 2021 Sat Jul 17 15:29:42 2021 Msieve v. 1.54 (SVN 1040M) Sat Jul 17 15:29:42 2021 random seeds: 80a3d12a 772e4a8a Sat Jul 17 15:29:42 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Sat Jul 17 15:29:43 2021 searching for 15-digit factors Sat Jul 17 15:29:43 2021 commencing number field sieve (187-digit input) Sat Jul 17 15:29:43 2021 R0: -1837355093879454551992476655627891373 Sat Jul 17 15:29:43 2021 R1: 1603663528873729260917347 Sat Jul 17 15:29:43 2021 A0: -77399909126113715234068610027453991187050 Sat Jul 17 15:29:43 2021 A1: 7408666124729172888703427183657859 Sat Jul 17 15:29:43 2021 A2: 54296209407067855694787613145 Sat Jul 17 15:29:43 2021 A3: -2226710191977735186994 Sat Jul 17 15:29:43 2021 A4: -1633277965386340 Sat Jul 17 15:29:43 2021 A5: -57380400 Sat Jul 17 15:29:43 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Sat Jul 17 15:29:43 2021 Sat Jul 17 15:29:43 2021 commencing square root phase Sat Jul 17 15:29:43 2021 cannot handle negative leading algebraic polynomial coefficient Sat Jul 17 15:29:43 2021 sqrtTime: 0 Sat Jul 17 15:29:43 2021 elapsed time 00:00:01 Sat Jul 17 15:32:06 2021 Sat Jul 17 15:32:06 2021 Sat Jul 17 15:32:06 2021 Msieve v. 1.54 (SVN 1040M) Sat Jul 17 15:32:06 2021 random seeds: afc5a63f f675cbec Sat Jul 17 15:32:06 2021 factoring 5224106397002509960259744580436925135043008255451533262342146915668243691893759603774290614602092225349857888084027140710080282385324431086849533216811990042015013912829350958553395147811 (187 digits) Sat Jul 17 15:32:06 2021 searching for 15-digit factors Sat Jul 17 15:32:06 2021 commencing number field sieve (187-digit input) Sat Jul 17 15:32:06 2021 R0: -1837355093879454551992476655627891373 Sat Jul 17 15:32:06 2021 R1: 1603663528873729260917347 Sat Jul 17 15:32:06 2021 A0: 77399909126113715234068610027453991187050 Sat Jul 17 15:32:06 2021 A1: -7408666124729172888703427183657859 Sat Jul 17 15:32:06 2021 A2: -54296209407067855694787613145 Sat Jul 17 15:32:06 2021 A3: 2226710191977735186994 Sat Jul 17 15:32:06 2021 A4: 1633277965386340 Sat Jul 17 15:32:06 2021 A5: 57380400 Sat Jul 17 15:32:06 2021 skew 3963652.62, size 2.466e-18, alpha -5.865, combined = 3.093e-14 rroots = 5 Sat Jul 17 15:32:06 2021 Sat Jul 17 15:32:06 2021 commencing square root phase Sat Jul 17 15:32:06 2021 handling dependencies 1 to 5 Sat Jul 17 15:32:06 2021 reading relations for dependency 1 Sat Jul 17 15:32:38 2021 read 11864436 cycles Sat Jul 17 15:33:04 2021 cycles contain 40949154 unique relations Sat Jul 17 15:55:34 2021 read 40949154 relations Sat Jul 17 15:59:06 2021 multiplying 40949154 relations Sat Jul 17 16:46:38 2021 multiply complete, coefficients have about 2657.04 million bits Sat Jul 17 16:46:52 2021 initial square root is modulo 910747 Sat Jul 17 17:34:38 2021 sqrtTime: 7352 Sat Jul 17 17:34:38 2021 p82 factor: 3860972841270514452233691632976217617100269677822059121399063498534992203592191551 Sat Jul 17 17:34:38 2021 p106 factor: 1353054427413023385984946710187483614424714542548059801588882194174472031622129717632118343150907333503261 Sat Jul 17 17:34:38 2021 elapsed time 02:02:32