hu Mar 5 07:27:17 2020 Thu Mar 5 07:27:17 2020 Thu Mar 5 07:27:17 2020 Msieve v. 1.53 (SVN unknown) Thu Mar 5 07:27:17 2020 random seeds: 617acdd8 2d38dd2c Thu Mar 5 07:27:17 2020 factoring 94420139467637500224478383599378507991846836723905113101918477049892456378298354381426461323944038382124862986236175668783881845549480258858039966859045806372034404017498853948058021599927558856491049679181583434337171715291 (224 digits) Thu Mar 5 07:27:18 2020 searching for 15-digit factors Thu Mar 5 07:27:19 2020 commencing number field sieve (224-digit input) Thu Mar 5 07:27:19 2020 R0: 2909321189362570808630465826492242446680483 Thu Mar 5 07:27:19 2020 R1: -1 Thu Mar 5 07:27:19 2020 A0: 1 Thu Mar 5 07:27:19 2020 A1: 0 Thu Mar 5 07:27:19 2020 A2: 0 Thu Mar 5 07:27:19 2020 A3: 0 Thu Mar 5 07:27:19 2020 A4: 0 Thu Mar 5 07:27:19 2020 A5: 0 Thu Mar 5 07:27:19 2020 A6: 1605 Thu Mar 5 07:27:19 2020 skew 0.29, size 4.187e-13, alpha 2.499, combined = 6.358e-14 rroots = 0 Thu Mar 5 07:27:19 2020 Thu Mar 5 07:27:19 2020 commencing relation filtering Thu Mar 5 07:27:19 2020 estimated available RAM is 32721.3 MB Thu Mar 5 07:27:19 2020 commencing duplicate removal, pass 1 Thu Mar 5 07:28:21 2020 error -9 reading relation 4461130 Thu Mar 5 07:28:44 2020 error -5 reading relation 6099650 Thu Mar 5 07:30:23 2020 error -5 reading relation 13299352 Thu Mar 5 07:31:06 2020 error -9 reading relation 16373883 Thu Mar 5 07:31:07 2020 error -9 reading relation 16446052 Thu Mar 5 07:31:55 2020 error -9 reading relation 19909387 Thu Mar 5 09:17:25 2020 error -15 reading relation 469618096 Thu Mar 5 09:17:25 2020 error -15 reading relation 469633393 Thu Mar 5 09:17:25 2020 error -9 reading relation 469636044 Thu Mar 5 09:17:26 2020 error -15 reading relation 469668242 Thu Mar 5 09:17:27 2020 skipped 4386 relations with b > 2^32 Thu Mar 5 09:17:27 2020 skipped 4337 relations with composite factors Thu Mar 5 09:17:27 2020 found 114815913 hash collisions in 469732352 relations Thu Mar 5 09:17:56 2020 added 1218228 free relations Thu Mar 5 09:17:56 2020 commencing duplicate removal, pass 2 Thu Mar 5 09:26:39 2020 found 114200563 duplicates and 356750017 unique relations Thu Mar 5 09:26:39 2020 memory use: 2643.0 MB Thu Mar 5 09:26:40 2020 reading ideals above 419758080 Thu Mar 5 09:26:40 2020 commencing singleton removal, initial pass Thu Mar 5 10:27:45 2020 memory use: 6024.0 MB Thu Mar 5 10:27:45 2020 reading all ideals from disk Thu Mar 5 10:28:27 2020 memory use: 5968.1 MB Thu Mar 5 10:28:42 2020 commencing in-memory singleton removal Thu Mar 5 10:28:57 2020 begin with 356750017 relations and 299170632 unique ideals Thu Mar 5 10:32:23 2020 reduce to 224115391 relations and 152565757 ideals in 20 passes Thu Mar 5 10:32:23 2020 max relations containing the same ideal: 30 Thu Mar 5 10:32:42 2020 reading ideals above 720000 Thu Mar 5 10:32:43 2020 commencing singleton removal, initial pass Thu Mar 5 11:20:50 2020 memory use: 5512.0 MB Thu Mar 5 11:20:50 2020 reading all ideals from disk Thu Mar 5 11:22:05 2020 memory use: 9304.7 MB Thu Mar 5 11:22:35 2020 keeping 196103386 ideals with weight <= 200, target excess is 1103104 Thu Mar 5 11:23:11 2020 commencing in-memory singleton removal Thu Mar 5 11:23:36 2020 begin with 224115391 relations and 196103386 unique ideals Thu Mar 5 11:27:47 2020 reduce to 224009628 relations and 195997613 ideals in 10 passes Thu Mar 5 11:27:47 2020 max relations containing the same ideal: 200 Thu Mar 5 11:29:49 2020 removing 14804733 relations and 12804733 ideals in 2000000 cliques Thu Mar 5 11:29:56 2020 commencing in-memory singleton removal Thu Mar 5 11:30:20 2020 begin with 209204895 relations and 195997613 unique ideals Thu Mar 5 11:33:48 2020 reduce to 208387255 relations and 182364853 ideals in 9 passes Thu Mar 5 11:33:48 2020 max relations containing the same ideal: 199 Thu Mar 5 11:35:43 2020 removing 11126761 relations and 9126761 ideals in 2000000 cliques Thu Mar 5 11:35:48 2020 commencing in-memory singleton removal Thu Mar 5 11:36:10 2020 begin with 197260494 relations and 182364853 unique ideals Thu Mar 5 11:39:02 2020 reduce to 196751323 relations and 172723535 ideals in 8 passes Thu Mar 5 11:39:02 2020 max relations containing the same ideal: 195 Thu Mar 5 11:40:50 2020 removing 9980142 relations and 7980142 ideals in 2000000 cliques Thu Mar 5 11:40:55 2020 commencing in-memory singleton removal Thu Mar 5 11:41:16 2020 begin with 186771181 relations and 172723535 unique ideals Thu Mar 5 11:43:40 2020 reduce to 186336785 relations and 164304557 ideals in 7 passes Thu Mar 5 11:43:40 2020 max relations containing the same ideal: 187 Thu Mar 5 11:45:23 2020 removing 9365170 relations and 7365170 ideals in 2000000 cliques Thu Mar 5 11:45:27 2020 commencing in-memory singleton removal Thu Mar 5 11:45:46 2020 begin with 176971615 relations and 164304557 unique ideals Thu Mar 5 11:48:22 2020 reduce to 176568993 relations and 156532589 ideals in 8 passes Thu Mar 5 11:48:22 2020 max relations containing the same ideal: 180 Thu Mar 5 11:49:57 2020 removing 8967968 relations and 6967968 ideals in 2000000 cliques Thu Mar 5 11:50:01 2020 commencing in-memory singleton removal Thu Mar 5 11:50:18 2020 begin with 167601025 relations and 156532589 unique ideals Thu Mar 5 11:53:24 2020 reduce to 167214948 relations and 149174446 ideals in 10 passes Thu Mar 5 11:53:24 2020 max relations containing the same ideal: 177 Thu Mar 5 11:54:57 2020 removing 8694964 relations and 6694964 ideals in 2000000 cliques Thu Mar 5 11:55:01 2020 commencing in-memory singleton removal Thu Mar 5 11:55:19 2020 begin with 158519984 relations and 149174446 unique ideals Thu Mar 5 11:57:21 2020 reduce to 158141217 relations and 142096562 ideals in 7 passes Thu Mar 5 11:57:21 2020 max relations containing the same ideal: 168 Thu Mar 5 11:58:51 2020 removing 8496192 relations and 6496192 ideals in 2000000 cliques Thu Mar 5 11:58:55 2020 commencing in-memory singleton removal Thu Mar 5 11:59:12 2020 begin with 149645025 relations and 142096562 unique ideals Thu Mar 5 12:01:21 2020 reduce to 149266636 relations and 135217645 ideals in 8 passes Thu Mar 5 12:01:21 2020 max relations containing the same ideal: 163 Thu Mar 5 12:02:45 2020 removing 8347430 relations and 6347430 ideals in 2000000 cliques Thu Mar 5 12:02:48 2020 commencing in-memory singleton removal Thu Mar 5 12:03:04 2020 begin with 140919206 relations and 135217645 unique ideals Thu Mar 5 12:04:50 2020 reduce to 140536945 relations and 128483368 ideals in 7 passes Thu Mar 5 12:04:50 2020 max relations containing the same ideal: 158 Thu Mar 5 12:06:07 2020 removing 8245089 relations and 6245089 ideals in 2000000 cliques Thu Mar 5 12:06:10 2020 commencing in-memory singleton removal Thu Mar 5 12:06:25 2020 begin with 132291856 relations and 128483368 unique ideals Thu Mar 5 12:08:01 2020 reduce to 131899427 relations and 121840686 ideals in 7 passes Thu Mar 5 12:08:01 2020 max relations containing the same ideal: 150 Thu Mar 5 12:09:16 2020 removing 8172542 relations and 6172542 ideals in 2000000 cliques Thu Mar 5 12:09:19 2020 commencing in-memory singleton removal Thu Mar 5 12:09:32 2020 begin with 123726885 relations and 121840686 unique ideals Thu Mar 5 12:11:17 2020 reduce to 123319823 relations and 115255510 ideals in 8 passes Thu Mar 5 12:11:17 2020 max relations containing the same ideal: 144 Thu Mar 5 12:12:28 2020 removing 8124115 relations and 6124115 ideals in 2000000 cliques Thu Mar 5 12:12:32 2020 commencing in-memory singleton removal Thu Mar 5 12:12:44 2020 begin with 115195708 relations and 115255510 unique ideals Thu Mar 5 12:14:23 2020 reduce to 114767804 relations and 108697475 ideals in 8 passes Thu Mar 5 12:14:23 2020 max relations containing the same ideal: 139 Thu Mar 5 12:15:26 2020 removing 8096595 relations and 6096595 ideals in 2000000 cliques Thu Mar 5 12:15:29 2020 commencing in-memory singleton removal Thu Mar 5 12:15:40 2020 begin with 106671209 relations and 108697475 unique ideals Thu Mar 5 12:17:10 2020 reduce to 106212667 relations and 102135412 ideals in 8 passes Thu Mar 5 12:17:10 2020 max relations containing the same ideal: 131 Thu Mar 5 12:18:09 2020 removing 8106680 relations and 6106680 ideals in 2000000 cliques Thu Mar 5 12:18:12 2020 commencing in-memory singleton removal Thu Mar 5 12:18:22 2020 begin with 98105987 relations and 102135412 unique ideals Thu Mar 5 12:19:45 2020 reduce to 97609220 relations and 95524093 ideals in 8 passes Thu Mar 5 12:19:45 2020 max relations containing the same ideal: 124 Thu Mar 5 12:20:40 2020 removing 3914370 relations and 3108844 ideals in 805526 cliques Thu Mar 5 12:20:42 2020 commencing in-memory singleton removal Thu Mar 5 12:20:52 2020 begin with 93694850 relations and 95524093 unique ideals Thu Mar 5 12:21:59 2020 reduce to 93577942 relations and 92297520 ideals in 7 passes Thu Mar 5 12:21:59 2020 max relations containing the same ideal: 120 Thu Mar 5 12:23:08 2020 relations with 0 large ideals: 42361 Thu Mar 5 12:23:08 2020 relations with 1 large ideals: 13133 Thu Mar 5 12:23:08 2020 relations with 2 large ideals: 198336 Thu Mar 5 12:23:08 2020 relations with 3 large ideals: 1467975 Thu Mar 5 12:23:08 2020 relations with 4 large ideals: 6014325 Thu Mar 5 12:23:08 2020 relations with 5 large ideals: 14951556 Thu Mar 5 12:23:08 2020 relations with 6 large ideals: 23566378 Thu Mar 5 12:23:08 2020 relations with 7+ large ideals: 47323878 Thu Mar 5 12:23:08 2020 commencing 2-way merge Thu Mar 5 12:24:23 2020 reduce to 61484149 relation sets and 60203727 unique ideals Thu Mar 5 12:24:23 2020 commencing full merge Thu Mar 5 12:43:40 2020 memory use: 7075.0 MB Thu Mar 5 12:43:50 2020 found 33116412 cycles, need 32939927 Thu Mar 5 12:43:53 2020 weight of 32939927 cycles is about 2305891873 (70.00/cycle) Thu Mar 5 12:43:53 2020 distribution of cycle lengths: Thu Mar 5 12:43:53 2020 1 relations: 4229600 Thu Mar 5 12:43:53 2020 2 relations: 4225561 Thu Mar 5 12:43:53 2020 3 relations: 4180938 Thu Mar 5 12:43:53 2020 4 relations: 3801498 Thu Mar 5 12:43:53 2020 5 relations: 3386465 Thu Mar 5 12:43:53 2020 6 relations: 2980464 Thu Mar 5 12:43:53 2020 7 relations: 2554262 Thu Mar 5 12:43:53 2020 8 relations: 2100752 Thu Mar 5 12:43:53 2020 9 relations: 1655041 Thu Mar 5 12:43:53 2020 10+ relations: 3825346 Thu Mar 5 12:43:53 2020 heaviest cycle: 20 relations Thu Mar 5 12:44:01 2020 commencing cycle optimization Thu Mar 5 12:44:43 2020 start with 169281205 relations Thu Mar 5 12:49:56 2020 pruned 3895060 relations Thu Mar 5 12:49:56 2020 memory use: 5609.5 MB Thu Mar 5 12:49:57 2020 distribution of cycle lengths: Thu Mar 5 12:49:57 2020 1 relations: 4229600 Thu Mar 5 12:49:57 2020 2 relations: 4309684 Thu Mar 5 12:49:57 2020 3 relations: 4321656 Thu Mar 5 12:49:57 2020 4 relations: 3888950 Thu Mar 5 12:49:57 2020 5 relations: 3467580 Thu Mar 5 12:49:57 2020 6 relations: 3023916 Thu Mar 5 12:49:57 2020 7 relations: 2573684 Thu Mar 5 12:49:57 2020 8 relations: 2085252 Thu Mar 5 12:49:57 2020 9 relations: 1619205 Thu Mar 5 12:49:57 2020 10+ relations: 3420400 Thu Mar 5 12:49:57 2020 heaviest cycle: 19 relations Thu Mar 5 12:52:24 2020 RelProcTime: 19505 Thu Mar 5 12:52:24 2020 Thu Mar 5 12:52:24 2020 commencing linear algebra Thu Mar 5 12:52:29 2020 read 32939927 cycles Thu Mar 5 12:53:23 2020 cycles contain 92809700 unique relations Thu Mar 5 13:09:22 2020 read 92809700 relations Thu Mar 5 13:12:45 2020 using 20 quadratic characters above 4294917295 Thu Mar 5 13:19:11 2020 building initial matrix Thu Mar 5 13:34:12 2020 memory use: 11693.5 MB Thu Mar 5 13:34:41 2020 read 32939927 cycles Thu Mar 5 13:34:50 2020 matrix is 32939750 x 32939927 (9790.9 MB) with weight 2834910174 (86.06/col) Thu Mar 5 13:34:50 2020 sparse part has weight 2237217484 (67.92/col) Thu Mar 5 13:41:34 2020 filtering completed in 2 passes Thu Mar 5 13:41:43 2020 matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col) Thu Mar 5 13:41:43 2020 sparse part has weight 2237178568 (67.93/col) Thu Mar 5 13:44:14 2020 matrix starts at (0, 0) Thu Mar 5 13:44:22 2020 matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col) Thu Mar 5 13:44:22 2020 sparse part has weight 2237178568 (67.93/col) Thu Mar 5 13:44:22 2020 saving the first 48 matrix rows for later Thu Mar 5 13:44:30 2020 matrix includes 64 packed rows Thu Mar 5 13:44:35 2020 matrix is 32932221 x 32932446 (9437.1 MB) with weight 2277457855 (69.16/col) Thu Mar 5 13:44:35 2020 sparse part has weight 2144554633 (65.12/col) Thu Mar 5 13:44:35 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Thu Mar 5 13:48:06 2020 commencing Lanczos iteration (6 threads) Thu Mar 5 13:48:06 2020 memory use: 8106.9 MB Thu Mar 5 13:51:25 2020 linear algebra at 0.0%, ETA 1147h12m Thu Mar 5 13:52:28 2020 checkpointing every 30000 dimensions Sat Apr 18 12:47:10 2020 lanczos halted after 478297 iterations (dim = 30245349) Sat Apr 18 12:48:08 2020 BLanczosTime: 3797744 Sat Apr 18 12:48:08 2020 Sat Apr 18 12:48:08 2020 commencing square root phase Sat Apr 18 12:48:08 2020 handling dependencies 1 to 64 Sat Apr 18 12:48:08 2020 reading relations for dependency 1 Sat Apr 18 12:48:08 2020 error: read_cycles can't open dependency file Sat Apr 18 13:34:22 2020 Sat Apr 18 13:34:23 2020 Sat Apr 18 13:34:23 2020 Msieve v. 1.53 (SVN unknown) Sat Apr 18 13:34:23 2020 random seeds: 455614f8 be777692 Sat Apr 18 13:34:23 2020 factoring 94420139467637500224478383599378507991846836723905113101918477049892456378298354381426461323944038382124862986236175668783881845549480258858039966859045806372034404017498853948058021599927558856491049679181583434337171715291 (224 digits) Sat Apr 18 13:34:24 2020 searching for 15-digit factors Sat Apr 18 13:34:25 2020 commencing number field sieve (224-digit input) Sat Apr 18 13:34:25 2020 R0: 2909321189362570808630465826492242446680483 Sat Apr 18 13:34:25 2020 R1: -1 Sat Apr 18 13:34:25 2020 A0: 1 Sat Apr 18 13:34:25 2020 A1: 0 Sat Apr 18 13:34:25 2020 A2: 0 Sat Apr 18 13:34:25 2020 A3: 0 Sat Apr 18 13:34:25 2020 A4: 0 Sat Apr 18 13:34:25 2020 A5: 0 Sat Apr 18 13:34:25 2020 A6: 1605 Sat Apr 18 13:34:25 2020 skew 0.29, size 4.187e-13, alpha 2.499, combined = 6.358e-14 rroots = 0 Sat Apr 18 13:34:25 2020 Sat Apr 18 13:34:25 2020 commencing linear algebra Sat Apr 18 13:37:08 2020 matrix starts at (0, 0) Sat Apr 18 13:37:16 2020 matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col) Sat Apr 18 13:37:16 2020 sparse part has weight 2237178568 (67.93/col) Sat Apr 18 13:37:16 2020 saving the first 48 matrix rows for later Sat Apr 18 13:37:24 2020 matrix includes 64 packed rows Sat Apr 18 13:37:29 2020 matrix is 32932221 x 32932446 (9437.1 MB) with weight 2277457855 (69.16/col) Sat Apr 18 13:37:29 2020 sparse part has weight 2144554633 (65.12/col) Sat Apr 18 13:37:29 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sat Apr 18 13:41:07 2020 commencing Lanczos iteration (8 threads) Sat Apr 18 13:41:07 2020 memory use: 8107.0 MB Sat Apr 18 13:41:20 2020 restarting at iteration 478297 (dim = 30245349) Sat Apr 18 13:42:49 2020 checkpointing every 30000 dimensions Sat Apr 18 13:44:31 2020 linear algebra at 91.8%, ETA 93h51m Wed Apr 22 06:41:39 2020 lanczos halted after 520787 iterations (dim = 32932216) Wed Apr 22 06:43:22 2020 recovered 34 nontrivial dependencies Wed Apr 22 06:43:57 2020 BLanczosTime: 320972 Wed Apr 22 06:43:57 2020 Wed Apr 22 06:43:57 2020 commencing square root phase Wed Apr 22 06:43:57 2020 reading relations for dependency 1 Wed Apr 22 06:44:05 2020 read 16468058 cycles Wed Apr 22 06:44:31 2020 cycles contain 46399272 unique relations Wed Apr 22 06:53:47 2020 read 46399272 relations Wed Apr 22 06:58:10 2020 multiplying 46399272 relations Wed Apr 22 07:53:20 2020 multiply complete, coefficients have about 1644.49 million bits Wed Apr 22 07:53:31 2020 initial square root is modulo 23808709 Wed Apr 22 08:55:45 2020 GCD is N, no factor found Wed Apr 22 08:55:45 2020 reading relations for dependency 2 Wed Apr 22 08:55:52 2020 read 16466041 cycles Wed Apr 22 08:56:18 2020 cycles contain 46402738 unique relations Wed Apr 22 09:05:34 2020 read 46402738 relations Wed Apr 22 09:09:51 2020 multiplying 46402738 relations Wed Apr 22 10:04:35 2020 multiply complete, coefficients have about 1644.61 million bits Wed Apr 22 10:04:46 2020 initial square root is modulo 23836831 Wed Apr 22 11:07:05 2020 sqrtTime: 15788 Wed Apr 22 11:07:05 2020 p71 factor: 64354162779803534350852867412689168286983291800628491939908241495270383 Wed Apr 22 11:07:05 2020 p154 factor: 1467195522233872712113928422468780312675448946223347547905333332422586834390226925945715117185544776923018423648736480719809911913865677791493673246302677 Wed Apr 22 11:07:05 2020 elapsed time 93:32:42