Wed Dec 25 17:18:17 2019 Wed Dec 25 17:18:17 2019 Wed Dec 25 17:18:17 2019 Msieve v. 1.54 (SVN 1025) Wed Dec 25 17:18:17 2019 random seeds: 4aca1a56 8b83a289 Wed Dec 25 17:18:17 2019 factoring 705945968854482490797486639497904587347424987962302319738177646021035399541785295759458058318128086073160805040648762198577876548009961912118644544268312875889197600011074688794784165928864988932448922561281664757752833 (219 digits) Wed Dec 25 17:18:19 2019 searching for 15-digit factors Wed Dec 25 17:18:20 2019 commencing number field sieve (219-digit input) Wed Dec 25 17:18:20 2019 R0: 288380976256133688832147450483953937369201 Wed Dec 25 17:18:20 2019 R1: -1 Wed Dec 25 17:18:20 2019 A0: -1 Wed Dec 25 17:18:20 2019 A1: 0 Wed Dec 25 17:18:20 2019 A2: 0 Wed Dec 25 17:18:20 2019 A3: 0 Wed Dec 25 17:18:20 2019 A4: 0 Wed Dec 25 17:18:20 2019 A5: 0 Wed Dec 25 17:18:20 2019 A6: 2851 Wed Dec 25 17:18:20 2019 skew 0.27, size 9.968e-13, alpha 1.795, combined = 1.196e-13 rroots = 2 Wed Dec 25 17:18:20 2019 Wed Dec 25 17:18:20 2019 commencing relation filtering Wed Dec 25 17:18:20 2019 setting target matrix density to 132.0 Wed Dec 25 17:18:20 2019 estimated available RAM is 15984.6 MB Wed Dec 25 17:18:20 2019 commencing duplicate removal, pass 1 Wed Dec 25 17:23:42 2019 error -15 reading relation 34848813 Wed Dec 25 17:26:43 2019 error -15 reading relation 59982737 Wed Dec 25 17:26:43 2019 error -11 reading relation 59982912 Wed Dec 25 17:26:43 2019 error -11 reading relation 59982915 Wed Dec 25 17:26:43 2019 error -11 reading relation 59982918 Wed Dec 25 17:26:43 2019 error -11 reading relation 59982979 Wed Dec 25 17:38:50 2019 error -1 reading relation 160433536 Wed Dec 25 17:42:29 2019 error -5 reading relation 190655527 Wed Dec 25 17:45:27 2019 error -15 reading relation 215219571 Wed Dec 25 17:51:47 2019 error -1 reading relation 267541944 Wed Dec 25 17:51:55 2019 error -1 reading relation 268757757 Wed Dec 25 17:52:11 2019 error -11 reading relation 270887311 Wed Dec 25 17:53:01 2019 error -5 reading relation 277883203 Wed Dec 25 17:53:16 2019 error -15 reading relation 279903828 Wed Dec 25 17:55:00 2019 error -15 reading relation 294393572 Wed Dec 25 18:01:10 2019 error -15 reading relation 345406681 Wed Dec 25 18:01:38 2019 skipped 2479 relations with b > 2^32 Wed Dec 25 18:01:38 2019 skipped 17 relations with composite factors Wed Dec 25 18:01:38 2019 found 25402886 hash collisions in 348128231 relations Wed Dec 25 18:01:49 2019 commencing duplicate removal, pass 2 Wed Dec 25 18:03:41 2019 found 2 duplicates and 348128229 unique relations Wed Dec 25 18:03:41 2019 memory use: 1257.5 MB Wed Dec 25 18:03:41 2019 reading ideals above 274923520 Wed Dec 25 18:03:41 2019 commencing singleton removal, initial pass Wed Dec 25 18:34:46 2019 memory use: 6024.0 MB Wed Dec 25 18:34:46 2019 reading all ideals from disk Wed Dec 25 18:35:01 2019 memory use: 5965.5 MB Wed Dec 25 18:35:30 2019 commencing in-memory singleton removal Wed Dec 25 18:35:58 2019 begin with 348128229 relations and 300491511 unique ideals Wed Dec 25 18:40:40 2019 reduce to 206666296 relations and 142587123 ideals in 15 passes Wed Dec 25 18:40:40 2019 max relations containing the same ideal: 41 Wed Dec 25 18:40:59 2019 reading ideals above 720000 Wed Dec 25 18:41:00 2019 commencing singleton removal, initial pass Wed Dec 25 19:07:08 2019 memory use: 5512.0 MB Wed Dec 25 19:07:08 2019 reading large ideals from disk Wed Dec 25 19:08:57 2019 keeping 155563060 ideals with weight <= 20, target excess is 16964321 Wed Dec 25 19:10:49 2019 memory use: 5215.3 MB Wed Dec 25 19:10:49 2019 commencing in-memory singleton removal Wed Dec 25 19:11:00 2019 begin with 206666296 relations and 155563060 unique ideals Wed Dec 25 19:12:45 2019 reduce to 206658713 relations and 155555477 ideals in 8 passes Wed Dec 25 19:12:45 2019 max relations containing the same ideal: 20 Wed Dec 25 19:13:56 2019 removing 13454734 relations and 11454734 ideals in 2000000 cliques Wed Dec 25 19:14:00 2019 commencing in-memory singleton removal Wed Dec 25 19:14:11 2019 begin with 193203979 relations and 155555477 unique ideals Wed Dec 25 19:15:50 2019 reduce to 192499917 relations and 143387345 ideals in 8 passes Wed Dec 25 19:15:50 2019 max relations containing the same ideal: 20 Wed Dec 25 19:16:56 2019 removing 9990767 relations and 7990767 ideals in 2000000 cliques Wed Dec 25 19:17:00 2019 commencing in-memory singleton removal Wed Dec 25 19:17:09 2019 begin with 182509150 relations and 143387345 unique ideals Wed Dec 25 19:18:48 2019 reduce to 182057269 relations and 134939600 ideals in 9 passes Wed Dec 25 19:18:48 2019 max relations containing the same ideal: 20 Wed Dec 25 19:19:48 2019 removing 8917464 relations and 6917464 ideals in 2000000 cliques Wed Dec 25 19:19:51 2019 commencing in-memory singleton removal Wed Dec 25 19:20:00 2019 begin with 173139805 relations and 134939600 unique ideals Wed Dec 25 19:21:20 2019 reduce to 172747813 relations and 127625822 ideals in 8 passes Wed Dec 25 19:21:20 2019 max relations containing the same ideal: 20 Wed Dec 25 19:22:16 2019 removing 8346490 relations and 6346490 ideals in 2000000 cliques Wed Dec 25 19:22:19 2019 commencing in-memory singleton removal Wed Dec 25 19:22:27 2019 begin with 164401323 relations and 127625822 unique ideals Wed Dec 25 19:23:34 2019 reduce to 164040164 relations and 120914161 ideals in 7 passes Wed Dec 25 19:23:34 2019 max relations containing the same ideal: 20 Wed Dec 25 19:24:27 2019 removing 7986730 relations and 5986730 ideals in 2000000 cliques Wed Dec 25 19:24:30 2019 commencing in-memory singleton removal Wed Dec 25 19:24:38 2019 begin with 156053434 relations and 120914161 unique ideals Wed Dec 25 19:25:47 2019 reduce to 155708451 relations and 114578458 ideals in 8 passes Wed Dec 25 19:25:47 2019 max relations containing the same ideal: 20 Wed Dec 25 19:26:37 2019 removing 7723162 relations and 5723162 ideals in 2000000 cliques Wed Dec 25 19:26:40 2019 commencing in-memory singleton removal Wed Dec 25 19:26:46 2019 begin with 147985289 relations and 114578458 unique ideals Wed Dec 25 19:27:42 2019 reduce to 147646814 relations and 108512686 ideals in 7 passes Wed Dec 25 19:27:42 2019 max relations containing the same ideal: 20 Wed Dec 25 19:28:29 2019 removing 7550907 relations and 5550907 ideals in 2000000 cliques Wed Dec 25 19:28:32 2019 commencing in-memory singleton removal Wed Dec 25 19:28:38 2019 begin with 140095907 relations and 108512686 unique ideals Wed Dec 25 19:29:29 2019 reduce to 139761631 relations and 102623333 ideals in 7 passes Wed Dec 25 19:29:29 2019 max relations containing the same ideal: 20 Wed Dec 25 19:30:13 2019 removing 7375172 relations and 5375172 ideals in 2000000 cliques Wed Dec 25 19:30:16 2019 commencing in-memory singleton removal Wed Dec 25 19:30:21 2019 begin with 132386459 relations and 102623333 unique ideals Wed Dec 25 19:31:14 2019 reduce to 132045258 relations and 96902363 ideals in 8 passes Wed Dec 25 19:31:14 2019 max relations containing the same ideal: 20 Wed Dec 25 19:31:55 2019 removing 7304433 relations and 5304433 ideals in 2000000 cliques Wed Dec 25 19:31:58 2019 commencing in-memory singleton removal Wed Dec 25 19:32:03 2019 begin with 124740825 relations and 96902363 unique ideals Wed Dec 25 19:32:45 2019 reduce to 124401413 relations and 91253768 ideals in 7 passes Wed Dec 25 19:32:45 2019 max relations containing the same ideal: 20 Wed Dec 25 19:33:23 2019 removing 7212646 relations and 5212646 ideals in 2000000 cliques Wed Dec 25 19:33:25 2019 commencing in-memory singleton removal Wed Dec 25 19:33:30 2019 begin with 117188767 relations and 91253768 unique ideals Wed Dec 25 19:34:13 2019 reduce to 116842829 relations and 85690096 ideals in 8 passes Wed Dec 25 19:34:13 2019 max relations containing the same ideal: 20 Wed Dec 25 19:34:48 2019 removing 7099452 relations and 5099452 ideals in 2000000 cliques Wed Dec 25 19:34:50 2019 commencing in-memory singleton removal Wed Dec 25 19:34:54 2019 begin with 109743377 relations and 85690096 unique ideals Wed Dec 25 19:35:38 2019 reduce to 109375411 relations and 80216841 ideals in 9 passes Wed Dec 25 19:35:38 2019 max relations containing the same ideal: 20 Wed Dec 25 19:36:11 2019 removing 7084309 relations and 5084309 ideals in 2000000 cliques Wed Dec 25 19:36:13 2019 commencing in-memory singleton removal Wed Dec 25 19:36:17 2019 begin with 102291102 relations and 80216841 unique ideals Wed Dec 25 19:36:47 2019 reduce to 101916557 relations and 74751660 ideals in 7 passes Wed Dec 25 19:36:47 2019 max relations containing the same ideal: 19 Wed Dec 25 19:37:17 2019 removing 7058617 relations and 5058617 ideals in 2000000 cliques Wed Dec 25 19:37:20 2019 commencing in-memory singleton removal Wed Dec 25 19:37:23 2019 begin with 94857940 relations and 74751660 unique ideals Wed Dec 25 19:37:58 2019 reduce to 94463074 relations and 69290949 ideals in 9 passes Wed Dec 25 19:37:58 2019 max relations containing the same ideal: 19 Wed Dec 25 19:38:25 2019 removing 7003120 relations and 5003120 ideals in 2000000 cliques Wed Dec 25 19:38:27 2019 commencing in-memory singleton removal Wed Dec 25 19:38:30 2019 begin with 87459954 relations and 69290949 unique ideals Wed Dec 25 19:38:58 2019 reduce to 87031751 relations and 63851057 ideals in 8 passes Wed Dec 25 19:38:58 2019 max relations containing the same ideal: 19 Wed Dec 25 19:39:23 2019 removing 6982500 relations and 4982500 ideals in 2000000 cliques Wed Dec 25 19:39:25 2019 commencing in-memory singleton removal Wed Dec 25 19:39:28 2019 begin with 80049251 relations and 63851057 unique ideals Wed Dec 25 19:39:53 2019 reduce to 79566945 relations and 58375803 ideals in 8 passes Wed Dec 25 19:39:53 2019 max relations containing the same ideal: 18 Wed Dec 25 19:40:16 2019 removing 5515136 relations and 4002607 ideals in 1512529 cliques Wed Dec 25 19:40:18 2019 commencing in-memory singleton removal Wed Dec 25 19:40:20 2019 begin with 74051809 relations and 58375803 unique ideals Wed Dec 25 19:40:45 2019 reduce to 73726121 relations and 54041449 ideals in 9 passes Wed Dec 25 19:40:45 2019 max relations containing the same ideal: 18 Wed Dec 25 19:41:09 2019 relations with 0 large ideals: 3158696 Wed Dec 25 19:41:09 2019 relations with 1 large ideals: 13528612 Wed Dec 25 19:41:09 2019 relations with 2 large ideals: 24673089 Wed Dec 25 19:41:09 2019 relations with 3 large ideals: 20852257 Wed Dec 25 19:41:09 2019 relations with 4 large ideals: 8896289 Wed Dec 25 19:41:09 2019 relations with 5 large ideals: 2058043 Wed Dec 25 19:41:09 2019 relations with 6 large ideals: 405856 Wed Dec 25 19:41:09 2019 relations with 7+ large ideals: 153279 Wed Dec 25 19:41:09 2019 commencing 2-way merge Wed Dec 25 19:41:37 2019 reduce to 45744765 relation sets and 26060093 unique ideals Wed Dec 25 19:41:37 2019 commencing full merge Wed Dec 25 19:47:25 2019 memory use: 2261.0 MB Wed Dec 25 19:47:29 2019 found 20147415 cycles, need 18784021 Wed Dec 25 19:47:34 2019 weight of 18784021 cycles is about 2346934716 (124.94/cycle) Wed Dec 25 19:47:34 2019 distribution of cycle lengths: Wed Dec 25 19:47:34 2019 1 relations: 3165364 Wed Dec 25 19:47:34 2019 2 relations: 1228823 Wed Dec 25 19:47:34 2019 3 relations: 1006266 Wed Dec 25 19:47:34 2019 4 relations: 925319 Wed Dec 25 19:47:34 2019 5 relations: 904791 Wed Dec 25 19:47:34 2019 6 relations: 880667 Wed Dec 25 19:47:34 2019 7 relations: 870699 Wed Dec 25 19:47:34 2019 8 relations: 857058 Wed Dec 25 19:47:34 2019 9 relations: 840092 Wed Dec 25 19:47:34 2019 10+ relations: 8104942 Wed Dec 25 19:47:34 2019 heaviest cycle: 28 relations Wed Dec 25 19:47:35 2019 commencing cycle optimization Wed Dec 25 19:48:15 2019 start with 167263682 relations Wed Dec 25 19:54:28 2019 pruned 13797417 relations Wed Dec 25 19:54:29 2019 memory use: 4210.3 MB Wed Dec 25 19:54:29 2019 distribution of cycle lengths: Wed Dec 25 19:54:29 2019 1 relations: 3165364 Wed Dec 25 19:54:29 2019 2 relations: 1276798 Wed Dec 25 19:54:29 2019 3 relations: 1069379 Wed Dec 25 19:54:29 2019 4 relations: 994896 Wed Dec 25 19:54:29 2019 5 relations: 990453 Wed Dec 25 19:54:29 2019 6 relations: 975512 Wed Dec 25 19:54:29 2019 7 relations: 976811 Wed Dec 25 19:54:29 2019 8 relations: 965008 Wed Dec 25 19:54:29 2019 9 relations: 953714 Wed Dec 25 19:54:29 2019 10+ relations: 7416086 Wed Dec 25 19:54:29 2019 heaviest cycle: 28 relations Wed Dec 25 19:55:04 2019 RelProcTime: 9404 Wed Dec 25 19:55:10 2019 Wed Dec 25 19:55:10 2019 commencing linear algebra Wed Dec 25 19:55:12 2019 read 18784021 cycles Wed Dec 25 19:55:58 2019 cycles contain 63204623 unique relations Wed Dec 25 20:01:07 2019 read 63204623 relations Wed Dec 25 20:03:46 2019 using 20 quadratic characters above 4294917295 Wed Dec 25 20:07:23 2019 building initial matrix Wed Dec 25 20:20:45 2019 memory use: 7997.9 MB Wed Dec 25 20:21:01 2019 read 18784021 cycles Wed Dec 25 20:21:03 2019 matrix is 18783359 x 18784021 (8597.5 MB) with weight 2461225198 (131.03/col) Wed Dec 25 20:21:03 2019 sparse part has weight 2047154526 (108.98/col) Wed Dec 25 20:29:50 2019 filtering completed in 3 passes Wed Dec 25 20:29:53 2019 matrix is 18767898 x 18768098 (8593.9 MB) with weight 2460113865 (131.08/col) Wed Dec 25 20:29:53 2019 sparse part has weight 2046382113 (109.04/col) Wed Dec 25 20:31:10 2019 matrix starts at (0, 0) Wed Dec 25 20:31:12 2019 matrix is 18767898 x 18768098 (8593.9 MB) with weight 2460113865 (131.08/col) Wed Dec 25 20:31:12 2019 sparse part has weight 2046382113 (109.04/col) Wed Dec 25 20:31:12 2019 saving the first 48 matrix rows for later Wed Dec 25 20:31:16 2019 matrix includes 64 packed rows Wed Dec 25 20:31:18 2019 matrix is 18767850 x 18768098 (8226.5 MB) with weight 2100894965 (111.94/col) Wed Dec 25 20:31:18 2019 sparse part has weight 1968857883 (104.90/col) Wed Dec 25 20:31:18 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Dec 25 20:32:32 2019 commencing Lanczos iteration (4 threads) Wed Dec 25 20:32:32 2019 memory use: 7981.5 MB Wed Dec 25 20:34:47 2019 lanczos halted after 14 iterations (dim = 883) Wed Dec 25 20:34:48 2019 BLanczosTime: 2378 Wed Dec 25 20:34:48 2019 Wed Dec 25 20:34:48 2019 commencing square root phase Wed Dec 25 20:34:48 2019 handling dependencies 1 to 64 Wed Dec 25 20:34:48 2019 reading relations for dependency 1 Wed Dec 25 20:34:48 2019 error: read_cycles can't open dependency file Wed Dec 25 21:50:42 2019 Wed Dec 25 21:50:42 2019 Wed Dec 25 21:50:42 2019 Msieve v. 1.54 (SVN 1025) Wed Dec 25 21:50:42 2019 random seeds: 28383f7c 63b78906 Wed Dec 25 21:50:42 2019 factoring 705945968854482490797486639497904587347424987962302319738177646021035399541785295759458058318128086073160805040648762198577876548009961912118644544268312875889197600011074688794784165928864988932448922561281664757752833 (219 digits) Wed Dec 25 21:50:42 2019 searching for 15-digit factors Wed Dec 25 21:50:43 2019 commencing number field sieve (219-digit input) Wed Dec 25 21:50:43 2019 R0: 288380976256133688832147450483953937369201 Wed Dec 25 21:50:43 2019 R1: -1 Wed Dec 25 21:50:43 2019 A0: -1 Wed Dec 25 21:50:43 2019 A1: 0 Wed Dec 25 21:50:43 2019 A2: 0 Wed Dec 25 21:50:43 2019 A3: 0 Wed Dec 25 21:50:43 2019 A4: 0 Wed Dec 25 21:50:43 2019 A5: 0 Wed Dec 25 21:50:43 2019 A6: 2851 Wed Dec 25 21:50:43 2019 skew 0.27, size 9.968e-13, alpha 1.795, combined = 1.196e-13 rroots = 2 Wed Dec 25 21:50:43 2019 Wed Dec 25 21:50:43 2019 commencing linear algebra Wed Dec 25 21:50:43 2019 skipping matrix build Wed Dec 25 21:51:03 2019 matrix starts at (0, 0) Wed Dec 25 21:51:05 2019 matrix is 18767898 x 18768098 (8593.9 MB) with weight 2460113865 (131.08/col) Wed Dec 25 21:51:05 2019 sparse part has weight 2046382113 (109.04/col) Wed Dec 25 21:51:05 2019 saving the first 48 matrix rows for later Wed Dec 25 21:51:08 2019 matrix includes 64 packed rows Wed Dec 25 21:51:11 2019 matrix is 18767850 x 18768098 (8226.5 MB) with weight 2100894965 (111.94/col) Wed Dec 25 21:51:11 2019 sparse part has weight 1968857883 (104.90/col) Wed Dec 25 21:51:11 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Dec 25 21:52:17 2019 commencing Lanczos iteration (4 threads) Wed Dec 25 21:52:17 2019 memory use: 7981.5 MB Wed Dec 25 21:53:54 2019 linear algebra at 0.0%, ETA 319h34m Wed Dec 25 21:54:26 2019 checkpointing every 60000 dimensions Mon Jan 6 05:38:19 2020 lanczos halted after 296782 iterations (dim = 18767848) Mon Jan 6 05:38:46 2020 recovered 36 nontrivial dependencies Mon Jan 6 05:38:46 2020 BLanczosTime: 978483 Mon Jan 6 05:38:46 2020 Mon Jan 6 05:38:46 2020 commencing square root phase Mon Jan 6 05:38:46 2020 handling dependencies 1 to 64 Mon Jan 6 05:38:46 2020 reading relations for dependency 1 Mon Jan 6 05:38:48 2020 read 9387110 cycles Mon Jan 6 05:39:01 2020 cycles contain 31598184 unique relations Mon Jan 6 05:41:36 2020 read 31598184 relations Mon Jan 6 05:43:25 2020 multiplying 31598184 relations Mon Jan 6 06:12:34 2020 multiply complete, coefficients have about 1133.57 million bits Mon Jan 6 06:12:38 2020 initial square root is modulo 121711 Mon Jan 6 06:42:50 2020 sqrtTime: 3844 Mon Jan 6 06:42:50 2020 p105 factor: 228502788837988506687414482721359064217828618323880630011163289613812625239652445306605252128734249386667 Mon Jan 6 06:42:50 2020 p115 factor: 3089441369378679664834225033969735785659311345733495551660492830556613010448512149522698862085241377623332061418499 Mon Jan 6 06:42:50 2020 elapsed time 272:52:08