Found 479533756 unique, 141601061 duplicate, and 366 bad relations. Largest dimension used: 1638 of 1800 Average dimension used: 1463.4 of 1800 Sun Mar 27 02:16:56 2022 Sun Mar 27 02:16:56 2022 Sun Mar 27 02:16:56 2022 Msieve v. 1.54 (SVN unknown) Sun Mar 27 02:16:56 2022 random seeds: bbbf14c5 d8cfa156 Sun Mar 27 02:16:56 2022 factoring 600180101389190209656962886737462955193716809602344436593164981361142663026643722886860023994566449971956472765399358073397923990824116032560877675192886833776067626390220812845985379061182931413482041852681840210451674695513150751134617 (237 digits) Sun Mar 27 02:16:57 2022 no P-1/P+1/ECM available, skipping Sun Mar 27 02:16:57 2022 commencing number field sieve (237-digit input) Sun Mar 27 02:16:57 2022 R0: 1007652543192009835781427081612966648201406939 Sun Mar 27 02:16:57 2022 R1: -2034803789214860371375372991921409003294478565376 Sun Mar 27 02:16:57 2022 A0: 126 Sun Mar 27 02:16:57 2022 A1: 0 Sun Mar 27 02:16:57 2022 A2: 0 Sun Mar 27 02:16:57 2022 A3: 0 Sun Mar 27 02:16:57 2022 A4: 0 Sun Mar 27 02:16:57 2022 A5: 0 Sun Mar 27 02:16:57 2022 A6: 1 Sun Mar 27 02:16:57 2022 skew 2.24, size 2.341e-14, alpha 0.620, combined = 6.569e-15 rroots = 0 Sun Mar 27 02:16:57 2022 Sun Mar 27 02:16:57 2022 commencing relation filtering Sun Mar 27 02:16:57 2022 setting target matrix density to 130.0 Sun Mar 27 02:16:57 2022 estimated available RAM is 772254.6 MB Sun Mar 27 02:16:57 2022 commencing duplicate removal, pass 1 Sun Mar 27 03:41:55 2022 skipped 11292 relations with b > 2^32 Sun Mar 27 03:41:55 2022 found 53756007 hash collisions in 497422457 relations Sun Mar 27 03:42:12 2022 added 1218793 free relations Sun Mar 27 03:42:12 2022 commencing duplicate removal, pass 2 Sun Mar 27 03:52:39 2022 found 6478867 duplicates and 492162383 unique relations Sun Mar 27 03:52:39 2022 memory use: 2387.0 MB Sun Mar 27 03:52:39 2022 reading ideals above 720000 Sun Mar 27 03:52:39 2022 commencing singleton removal, initial pass Sun Mar 27 05:26:11 2022 memory use: 11024.0 MB Sun Mar 27 05:26:11 2022 reading all ideals from disk Sun Mar 27 05:26:32 2022 memory use: 21963.0 MB Sun Mar 27 05:27:48 2022 keeping 484799042 ideals with weight <= 200, target excess is 2639184 Sun Mar 27 05:29:10 2022 commencing in-memory singleton removal Sun Mar 27 05:29:54 2022 begin with 492162383 relations and 484799042 unique ideals Sun Mar 27 05:39:41 2022 reduce to 289932696 relations and 260002119 ideals in 17 passes Sun Mar 27 05:39:41 2022 max relations containing the same ideal: 154 Sun Mar 27 05:41:53 2022 removing 17242937 relations and 15242937 ideals in 2000000 cliques Sun Mar 27 05:42:07 2022 commencing in-memory singleton removal Sun Mar 27 05:42:32 2022 begin with 272689759 relations and 260002119 unique ideals Sun Mar 27 05:47:35 2022 reduce to 271806925 relations and 243867504 ideals in 10 passes Sun Mar 27 05:47:35 2022 max relations containing the same ideal: 147 Sun Mar 27 05:49:39 2022 removing 12886262 relations and 10886262 ideals in 2000000 cliques Sun Mar 27 05:49:52 2022 commencing in-memory singleton removal Sun Mar 27 05:50:15 2022 begin with 258920663 relations and 243867504 unique ideals Sun Mar 27 05:54:32 2022 reduce to 258377325 relations and 232433329 ideals in 9 passes Sun Mar 27 05:54:32 2022 max relations containing the same ideal: 138 Sun Mar 27 05:56:29 2022 removing 11527232 relations and 9527232 ideals in 2000000 cliques Sun Mar 27 05:56:41 2022 commencing in-memory singleton removal Sun Mar 27 05:57:02 2022 begin with 246850093 relations and 232433329 unique ideals Sun Mar 27 06:00:40 2022 reduce to 246389590 relations and 222441929 ideals in 8 passes Sun Mar 27 06:00:40 2022 max relations containing the same ideal: 137 Sun Mar 27 06:02:32 2022 removing 10803976 relations and 8803976 ideals in 2000000 cliques Sun Mar 27 06:02:44 2022 commencing in-memory singleton removal Sun Mar 27 06:03:05 2022 begin with 235585614 relations and 222441929 unique ideals Sun Mar 27 06:06:33 2022 reduce to 235164410 relations and 213213377 ideals in 8 passes Sun Mar 27 06:06:33 2022 max relations containing the same ideal: 132 Sun Mar 27 06:08:20 2022 removing 10334721 relations and 8334721 ideals in 2000000 cliques Sun Mar 27 06:08:31 2022 commencing in-memory singleton removal Sun Mar 27 06:08:51 2022 begin with 224829689 relations and 213213377 unique ideals Sun Mar 27 06:12:09 2022 reduce to 224424590 relations and 204470321 ideals in 8 passes Sun Mar 27 06:12:09 2022 max relations containing the same ideal: 129 Sun Mar 27 06:13:52 2022 removing 10016374 relations and 8016374 ideals in 2000000 cliques Sun Mar 27 06:14:03 2022 commencing in-memory singleton removal Sun Mar 27 06:14:22 2022 begin with 214408216 relations and 204470321 unique ideals Sun Mar 27 06:17:30 2022 reduce to 214010965 relations and 196053520 ideals in 8 passes Sun Mar 27 06:17:30 2022 max relations containing the same ideal: 124 Sun Mar 27 06:19:09 2022 removing 9787563 relations and 7787563 ideals in 2000000 cliques Sun Mar 27 06:19:19 2022 commencing in-memory singleton removal Sun Mar 27 06:19:37 2022 begin with 204223402 relations and 196053520 unique ideals Sun Mar 27 06:22:58 2022 reduce to 203823902 relations and 187863087 ideals in 9 passes Sun Mar 27 06:22:58 2022 max relations containing the same ideal: 120 Sun Mar 27 06:24:33 2022 removing 9634645 relations and 7634645 ideals in 2000000 cliques Sun Mar 27 06:24:43 2022 commencing in-memory singleton removal Sun Mar 27 06:25:00 2022 begin with 194189257 relations and 187863087 unique ideals Sun Mar 27 06:27:52 2022 reduce to 193785988 relations and 179821581 ideals in 8 passes Sun Mar 27 06:27:52 2022 max relations containing the same ideal: 116 Sun Mar 27 06:29:23 2022 removing 9525317 relations and 7525317 ideals in 2000000 cliques Sun Mar 27 06:29:32 2022 commencing in-memory singleton removal Sun Mar 27 06:29:48 2022 begin with 184260671 relations and 179821581 unique ideals Sun Mar 27 06:32:31 2022 reduce to 183844793 relations and 171876535 ideals in 8 passes Sun Mar 27 06:32:31 2022 max relations containing the same ideal: 113 Sun Mar 27 06:33:58 2022 removing 9464578 relations and 7464578 ideals in 2000000 cliques Sun Mar 27 06:34:07 2022 commencing in-memory singleton removal Sun Mar 27 06:34:22 2022 begin with 174380215 relations and 171876535 unique ideals Sun Mar 27 06:36:57 2022 reduce to 173947256 relations and 163974814 ideals in 8 passes Sun Mar 27 06:36:57 2022 max relations containing the same ideal: 112 Sun Mar 27 06:38:19 2022 removing 9438466 relations and 7438466 ideals in 2000000 cliques Sun Mar 27 06:38:28 2022 commencing in-memory singleton removal Sun Mar 27 06:38:42 2022 begin with 164508790 relations and 163974814 unique ideals Sun Mar 27 06:41:25 2022 reduce to 164051292 relations and 156074141 ideals in 9 passes Sun Mar 27 06:41:25 2022 max relations containing the same ideal: 108 Sun Mar 27 06:42:43 2022 removing 9454577 relations and 7454577 ideals in 2000000 cliques Sun Mar 27 06:42:52 2022 commencing in-memory singleton removal Sun Mar 27 06:43:05 2022 begin with 154596715 relations and 156074141 unique ideals Sun Mar 27 06:45:55 2022 reduce to 154108851 relations and 148126415 ideals in 10 passes Sun Mar 27 06:45:55 2022 max relations containing the same ideal: 101 Sun Mar 27 06:47:09 2022 removing 9489016 relations and 7489016 ideals in 2000000 cliques Sun Mar 27 06:47:17 2022 commencing in-memory singleton removal Sun Mar 27 06:47:30 2022 begin with 144619835 relations and 148126415 unique ideals Sun Mar 27 06:49:37 2022 reduce to 144094300 relations and 140105908 ideals in 8 passes Sun Mar 27 06:49:37 2022 max relations containing the same ideal: 97 Sun Mar 27 06:50:46 2022 removing 5154620 relations and 4227682 ideals in 926938 cliques Sun Mar 27 06:50:53 2022 commencing in-memory singleton removal Sun Mar 27 06:51:05 2022 begin with 138939680 relations and 140105908 unique ideals Sun Mar 27 06:52:52 2022 reduce to 138787541 relations and 135725186 ideals in 7 passes Sun Mar 27 06:52:52 2022 max relations containing the same ideal: 93 Sun Mar 27 06:54:25 2022 relations with 0 large ideals: 100238 Sun Mar 27 06:54:25 2022 relations with 1 large ideals: 40750 Sun Mar 27 06:54:25 2022 relations with 2 large ideals: 513581 Sun Mar 27 06:54:25 2022 relations with 3 large ideals: 3334334 Sun Mar 27 06:54:25 2022 relations with 4 large ideals: 11979963 Sun Mar 27 06:54:25 2022 relations with 5 large ideals: 26240396 Sun Mar 27 06:54:25 2022 relations with 6 large ideals: 36457088 Sun Mar 27 06:54:25 2022 relations with 7+ large ideals: 60121191 Sun Mar 27 06:54:25 2022 commencing 2-way merge Sun Mar 27 06:56:06 2022 reduce to 86992180 relation sets and 83929825 unique ideals Sun Mar 27 06:56:06 2022 commencing full merge Sun Mar 27 07:30:35 2022 memory use: 10534.8 MB Sun Mar 27 07:30:44 2022 found 37583909 cycles, need 37556025 Sun Mar 27 07:30:58 2022 weight of 37556025 cycles is about 4882745111 (130.01/cycle) Sun Mar 27 07:30:58 2022 distribution of cycle lengths: Sun Mar 27 07:30:58 2022 1 relations: 3076902 Sun Mar 27 07:30:58 2022 2 relations: 2734678 Sun Mar 27 07:30:58 2022 3 relations: 2705115 Sun Mar 27 07:30:58 2022 4 relations: 2607190 Sun Mar 27 07:30:58 2022 5 relations: 2547345 Sun Mar 27 07:30:58 2022 6 relations: 2440536 Sun Mar 27 07:30:58 2022 7 relations: 2313854 Sun Mar 27 07:30:58 2022 8 relations: 2190683 Sun Mar 27 07:30:58 2022 9 relations: 2064837 Sun Mar 27 07:30:58 2022 10+ relations: 14874885 Sun Mar 27 07:30:58 2022 heaviest cycle: 28 relations Sun Mar 27 07:31:09 2022 commencing cycle optimization Sun Mar 27 07:32:34 2022 start with 330463028 relations Sun Mar 27 07:46:23 2022 pruned 13062945 relations Sun Mar 27 07:46:23 2022 memory use: 9042.4 MB Sun Mar 27 07:46:24 2022 distribution of cycle lengths: Sun Mar 27 07:46:24 2022 1 relations: 3076902 Sun Mar 27 07:46:24 2022 2 relations: 2802456 Sun Mar 27 07:46:24 2022 3 relations: 2814031 Sun Mar 27 07:46:24 2022 4 relations: 2704691 Sun Mar 27 07:46:24 2022 5 relations: 2655518 Sun Mar 27 07:46:24 2022 6 relations: 2530850 Sun Mar 27 07:46:24 2022 7 relations: 2405556 Sun Mar 27 07:46:24 2022 8 relations: 2267033 Sun Mar 27 07:46:24 2022 9 relations: 2131229 Sun Mar 27 07:46:24 2022 10+ relations: 14167759 Sun Mar 27 07:46:24 2022 heaviest cycle: 28 relations Sun Mar 27 07:47:54 2022 RelProcTime: 19857 Sun Mar 27 07:47:54 2022 Sun Mar 27 07:47:54 2022 commencing linear algebra Sun Mar 27 07:48:16 2022 read 37556025 cycles Sun Mar 27 07:50:08 2022 cycles contain 136794387 unique relations Sun Mar 27 08:11:05 2022 read 136794387 relations Sun Mar 27 08:15:43 2022 using 20 quadratic characters above 4294917295 Sun Mar 27 08:29:36 2022 building initial matrix Sun Mar 27 09:03:38 2022 memory use: 17778.8 MB Sun Mar 27 09:04:15 2022 read 37556025 cycles Sun Mar 27 09:04:20 2022 matrix is 37555848 x 37556025 (18972.4 MB) with weight 5395737942 (143.67/col) Sun Mar 27 09:04:20 2022 sparse part has weight 4560393563 (121.43/col) Sun Mar 27 09:15:31 2022 filtering completed in 2 passes Sun Mar 27 09:15:38 2022 matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col) Sun Mar 27 09:15:38 2022 sparse part has weight 4560384670 (121.43/col) Sun Mar 27 09:17:47 2022 matrix starts at (0, 0) Sun Mar 27 09:17:53 2022 matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col) Sun Mar 27 09:17:53 2022 sparse part has weight 4560384670 (121.43/col) Sun Mar 27 09:17:53 2022 saving the first 48 matrix rows for later Sun Mar 27 09:18:04 2022 matrix includes 64 packed rows Sun Mar 27 09:18:10 2022 matrix is 37554969 x 37555194 (18179.3 MB) with weight 4674360069 (124.47/col) Sun Mar 27 09:18:10 2022 sparse part has weight 4390045689 (116.90/col) Sun Mar 27 09:18:12 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun Mar 27 09:20:49 2022 commencing Lanczos iteration (32 threads) Sun Mar 27 09:20:49 2022 memory use: 17712.6 MB Sun Mar 27 09:22:11 2022 linear algebra at 0.0%, ETA 530h32m Sun Mar 27 09:22:37 2022 checkpointing every 80000 dimensions Sun Apr 3 14:47:16 2022 Sun Apr 3 14:47:16 2022 commencing linear algebra Sun Apr 3 14:47:35 2022 matrix starts at (0, 0) Sun Apr 3 14:47:40 2022 matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col) Sun Apr 3 14:47:40 2022 sparse part has weight 4560384670 (121.43/col) Sun Apr 3 14:47:40 2022 saving the first 48 matrix rows for later Sun Apr 3 14:47:48 2022 matrix includes 64 packed rows Sun Apr 3 14:47:53 2022 matrix is 37554969 x 37555194 (18179.3 MB) with weight 4674360069 (124.47/col) Sun Apr 3 14:47:53 2022 sparse part has weight 4390045689 (116.90/col) Sun Apr 3 14:47:55 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun Apr 3 14:49:50 2022 commencing Lanczos iteration (32 threads) Sun Apr 3 14:49:51 2022 memory use: 17712.6 MB Sun Apr 3 14:49:52 2022 restarting at iteration 341462 (dim = 21592642) Sun Apr 3 14:50:47 2022 checkpointing every 100000 dimensions Sun Apr 3 14:50:51 2022 linear algebra at 57.5%, ETA 172h 5m Fri Apr 8 23:17:30 2022 lanczos halted after 593892 iterations (dim = 37554968) Fri Apr 8 23:18:04 2022 recovered 37 nontrivial dependencies Fri Apr 8 23:18:09 2022 BLanczosTime: 462653 Fri Apr 8 23:18:09 2022 Fri Apr 8 23:18:09 2022 commencing square root phase Fri Apr 8 23:18:09 2022 reading relations for dependency 1 Fri Apr 8 23:18:13 2022 read 18776715 cycles Fri Apr 8 23:18:51 2022 cycles contain 68401584 unique relations Fri Apr 8 23:30:26 2022 read 68401584 relations Fri Apr 8 23:35:37 2022 multiplying 68401584 relations Sat Apr 9 00:31:46 2022 multiply complete, coefficients have about 1919.04 million bits Sat Apr 9 00:31:52 2022 initial square root is modulo 405749101 Sat Apr 9 01:32:28 2022 GCD is N, no factor found Fri Apr 8 23:18:56 2022 Fri Apr 8 23:18:56 2022 Fri Apr 8 23:18:56 2022 Msieve v. 1.54 (SVN unknown) Fri Apr 8 23:18:56 2022 random seeds: 75fb6838 30e544fc Fri Apr 8 23:18:56 2022 factoring 600180101389190209656962886737462955193716809602344436593164981361142663026643722886860023994566449971956472765399358073397923990824116032560877675192886833776067626390220812845985379061182931413482041852681840210451674695513150751134617 (237 digits) Fri Apr 8 23:18:57 2022 no P-1/P+1/ECM available, skipping Fri Apr 8 23:18:57 2022 commencing number field sieve (237-digit input) Fri Apr 8 23:18:57 2022 R0: 1007652543192009835781427081612966648201406939 Fri Apr 8 23:18:57 2022 R1: -2034803789214860371375372991921409003294478565376 Fri Apr 8 23:18:57 2022 A0: 126 Fri Apr 8 23:18:57 2022 A1: 0 Fri Apr 8 23:18:57 2022 A2: 0 Fri Apr 8 23:18:57 2022 A3: 0 Fri Apr 8 23:18:57 2022 A4: 0 Fri Apr 8 23:18:57 2022 A5: 0 Fri Apr 8 23:18:57 2022 A6: 1 Fri Apr 8 23:18:57 2022 skew 2.24, size 2.341e-14, alpha 0.620, combined = 6.569e-15 rroots = 0 Fri Apr 8 23:18:57 2022 Fri Apr 8 23:18:57 2022 commencing square root phase Fri Apr 8 23:18:57 2022 handling dependencies 11 to 14 Fri Apr 8 23:18:57 2022 reading relations for dependency 11 Fri Apr 8 23:19:01 2022 read 18776860 cycles Fri Apr 8 23:19:41 2022 cycles contain 68401058 unique relations Fri Apr 8 23:31:21 2022 read 68401058 relations Fri Apr 8 23:37:34 2022 multiplying 68401058 relations Sat Apr 9 00:33:04 2022 multiply complete, coefficients have about 1919.02 million bits Sat Apr 9 00:33:11 2022 initial square root is modulo 405664603 Sat Apr 9 01:33:49 2022 sqrtTime: 8092 Sat Apr 9 01:33:49 2022 p74 factor: 62487372769664724283199514371990544312681464002829263983074643135729954533 Sat Apr 9 01:33:49 2022 p163 factor: 9604822139050709737246235757957975189465358859243348028365301607373909309732828269165027202748348474833599050392340150874057976564939923766876833128043232984912549 Sat Apr 9 01:33:49 2022 elapsed time 02:14:53