Sun Mar 20 23:52:10 2022 Sun Mar 20 23:52:10 2022 Sun Mar 20 23:52:10 2022 Msieve v. 1.54 (SVN unknown) Sun Mar 20 23:52:10 2022 random seeds: f923dc03 843b231e Sun Mar 20 23:52:10 2022 MPI process 0 of 1 Sun Mar 20 23:52:10 2022 factoring 5507055008503847175427511836444905477655887936904443750226051734874957287516406651481980830600296706186305964116385320439184175993965217750449712142253210690764509266067631759794594378142148043497899052874021952102052057 (220 digits) Sun Mar 20 23:52:10 2022 no P-1/P+1/ECM available, skipping Sun Mar 20 23:52:10 2022 commencing number field sieve (220-digit input) Sun Mar 20 23:52:10 2022 R0: 54763699237492901685126120802225273763666521 Sun Mar 20 23:52:10 2022 R1: -11972515182562019788602740026717047105681 Sun Mar 20 23:52:10 2022 A0: 11 Sun Mar 20 23:52:10 2022 A1: 0 Sun Mar 20 23:52:10 2022 A2: 0 Sun Mar 20 23:52:10 2022 A3: 0 Sun Mar 20 23:52:10 2022 A4: 0 Sun Mar 20 23:52:10 2022 A5: 0 Sun Mar 20 23:52:10 2022 A6: 9 Sun Mar 20 23:52:10 2022 skew 1.03, size 5.281e-13, alpha 0.776, combined = 7.230e-14 rroots = 0 Sun Mar 20 23:52:10 2022 Sun Mar 20 23:52:10 2022 commencing relation filtering Sun Mar 20 23:52:10 2022 setting target matrix density to 110.0 Sun Mar 20 23:52:10 2022 estimated available RAM is 192123.6 MB Sun Mar 20 23:52:10 2022 commencing duplicate removal, pass 1 Mon Mar 21 00:15:55 2022 skipped 894 relations with b > 2^32 Mon Mar 21 00:15:55 2022 skipped 104 relations with composite factors Mon Mar 21 00:15:55 2022 found 8412219 hash collisions in 195859579 relations Mon Mar 21 00:16:08 2022 added 1219069 free relations Mon Mar 21 00:16:08 2022 commencing duplicate removal, pass 2 Mon Mar 21 00:16:57 2022 found 0 duplicates and 197078648 unique relations Mon Mar 21 00:16:57 2022 memory use: 522.4 MB Mon Mar 21 00:16:57 2022 reading ideals above 720000 Mon Mar 21 00:16:57 2022 commencing singleton removal, initial pass Mon Mar 21 00:42:49 2022 memory use: 5512.0 MB Mon Mar 21 00:42:49 2022 reading all ideals from disk Mon Mar 21 00:42:55 2022 memory use: 8185.2 MB Mon Mar 21 00:43:16 2022 keeping 180538392 ideals with weight <= 200, target excess is 1050669 Mon Mar 21 00:43:38 2022 commencing in-memory singleton removal Mon Mar 21 00:43:55 2022 begin with 197078648 relations and 180538392 unique ideals Mon Mar 21 00:46:32 2022 reduce to 134336763 relations and 112003206 ideals in 14 passes Mon Mar 21 00:46:32 2022 max relations containing the same ideal: 162 Mon Mar 21 00:47:37 2022 removing 11042236 relations and 9042236 ideals in 2000000 cliques Mon Mar 21 00:47:43 2022 commencing in-memory singleton removal Mon Mar 21 00:47:51 2022 begin with 123294527 relations and 112003206 unique ideals Mon Mar 21 00:48:52 2022 reduce to 122563509 relations and 102215640 ideals in 7 passes Mon Mar 21 00:48:52 2022 max relations containing the same ideal: 157 Mon Mar 21 00:49:49 2022 removing 8504083 relations and 6504083 ideals in 2000000 cliques Mon Mar 21 00:49:54 2022 commencing in-memory singleton removal Mon Mar 21 00:50:05 2022 begin with 114059426 relations and 102215640 unique ideals Mon Mar 21 00:51:19 2022 reduce to 113568306 relations and 95212046 ideals in 7 passes Mon Mar 21 00:51:19 2022 max relations containing the same ideal: 146 Mon Mar 21 00:52:11 2022 removing 7743013 relations and 5743013 ideals in 2000000 cliques Mon Mar 21 00:52:15 2022 commencing in-memory singleton removal Mon Mar 21 00:52:23 2022 begin with 105825293 relations and 95212046 unique ideals Mon Mar 21 00:53:27 2022 reduce to 105391381 relations and 89027667 ideals in 8 passes Mon Mar 21 00:53:27 2022 max relations containing the same ideal: 140 Mon Mar 21 00:54:15 2022 removing 7362848 relations and 5362848 ideals in 2000000 cliques Mon Mar 21 00:54:19 2022 commencing in-memory singleton removal Mon Mar 21 00:54:25 2022 begin with 98028533 relations and 89027667 unique ideals Mon Mar 21 00:55:19 2022 reduce to 97610603 relations and 83239628 ideals in 8 passes Mon Mar 21 00:55:19 2022 max relations containing the same ideal: 134 Mon Mar 21 00:56:00 2022 removing 7137859 relations and 5137859 ideals in 2000000 cliques Mon Mar 21 00:56:04 2022 commencing in-memory singleton removal Mon Mar 21 00:56:10 2022 begin with 90472744 relations and 83239628 unique ideals Mon Mar 21 00:56:59 2022 reduce to 90060806 relations and 77682287 ideals in 8 passes Mon Mar 21 00:56:59 2022 max relations containing the same ideal: 127 Mon Mar 21 00:57:37 2022 removing 6994180 relations and 4994180 ideals in 2000000 cliques Mon Mar 21 00:57:40 2022 commencing in-memory singleton removal Mon Mar 21 00:57:46 2022 begin with 83066626 relations and 77682287 unique ideals Mon Mar 21 00:58:25 2022 reduce to 82647190 relations and 72260653 ideals in 7 passes Mon Mar 21 00:58:25 2022 max relations containing the same ideal: 122 Mon Mar 21 00:59:00 2022 removing 6902362 relations and 4902362 ideals in 2000000 cliques Mon Mar 21 00:59:03 2022 commencing in-memory singleton removal Mon Mar 21 00:59:08 2022 begin with 75744828 relations and 72260653 unique ideals Mon Mar 21 00:59:44 2022 reduce to 75309564 relations and 66913840 ideals in 7 passes Mon Mar 21 00:59:44 2022 max relations containing the same ideal: 114 Mon Mar 21 01:00:15 2022 removing 6845360 relations and 4845360 ideals in 2000000 cliques Mon Mar 21 01:00:18 2022 commencing in-memory singleton removal Mon Mar 21 01:00:23 2022 begin with 68464204 relations and 66913840 unique ideals Mon Mar 21 01:00:53 2022 reduce to 68003931 relations and 61597661 ideals in 7 passes Mon Mar 21 01:00:53 2022 max relations containing the same ideal: 107 Mon Mar 21 01:01:19 2022 removing 6821152 relations and 4821152 ideals in 2000000 cliques Mon Mar 21 01:01:22 2022 commencing in-memory singleton removal Mon Mar 21 01:01:26 2022 begin with 61182779 relations and 61597661 unique ideals Mon Mar 21 01:01:56 2022 reduce to 60683372 relations and 56264553 ideals in 8 passes Mon Mar 21 01:01:56 2022 max relations containing the same ideal: 97 Mon Mar 21 01:02:19 2022 removing 6819868 relations and 4819868 ideals in 2000000 cliques Mon Mar 21 01:02:22 2022 commencing in-memory singleton removal Mon Mar 21 01:02:25 2022 begin with 53863504 relations and 56264553 unique ideals Mon Mar 21 01:02:52 2022 reduce to 53306233 relations and 50872042 ideals in 8 passes Mon Mar 21 01:02:52 2022 max relations containing the same ideal: 90 Mon Mar 21 01:03:12 2022 removing 4573205 relations and 3357791 ideals in 1215414 cliques Mon Mar 21 01:03:14 2022 commencing in-memory singleton removal Mon Mar 21 01:03:17 2022 begin with 48733028 relations and 50872042 unique ideals Mon Mar 21 01:03:38 2022 reduce to 48453093 relations and 47228816 ideals in 7 passes Mon Mar 21 01:03:38 2022 max relations containing the same ideal: 87 Mon Mar 21 01:04:03 2022 relations with 0 large ideals: 39484 Mon Mar 21 01:04:03 2022 relations with 1 large ideals: 16064 Mon Mar 21 01:04:03 2022 relations with 2 large ideals: 186426 Mon Mar 21 01:04:03 2022 relations with 3 large ideals: 1211159 Mon Mar 21 01:04:03 2022 relations with 4 large ideals: 4326609 Mon Mar 21 01:04:03 2022 relations with 5 large ideals: 9314322 Mon Mar 21 01:04:03 2022 relations with 6 large ideals: 12675264 Mon Mar 21 01:04:03 2022 relations with 7+ large ideals: 20683765 Mon Mar 21 01:04:03 2022 commencing 2-way merge Mon Mar 21 01:04:30 2022 reduce to 32536797 relation sets and 31312520 unique ideals Mon Mar 21 01:04:30 2022 commencing full merge Mon Mar 21 01:13:39 2022 memory use: 4160.7 MB Mon Mar 21 01:13:42 2022 found 15213390 cycles, need 15086720 Mon Mar 21 01:13:46 2022 weight of 15086720 cycles is about 1659685321 (110.01/cycle) Mon Mar 21 01:13:46 2022 distribution of cycle lengths: Mon Mar 21 01:13:46 2022 1 relations: 768161 Mon Mar 21 01:13:46 2022 2 relations: 1066384 Mon Mar 21 01:13:46 2022 3 relations: 1229099 Mon Mar 21 01:13:46 2022 4 relations: 1252045 Mon Mar 21 01:13:46 2022 5 relations: 1254126 Mon Mar 21 01:13:46 2022 6 relations: 1220621 Mon Mar 21 01:13:46 2022 7 relations: 1160532 Mon Mar 21 01:13:46 2022 8 relations: 1086579 Mon Mar 21 01:13:46 2022 9 relations: 996184 Mon Mar 21 01:13:46 2022 10+ relations: 5052989 Mon Mar 21 01:13:46 2022 heaviest cycle: 28 relations Mon Mar 21 01:13:50 2022 commencing cycle optimization Mon Mar 21 01:14:14 2022 start with 119838693 relations Mon Mar 21 01:17:31 2022 pruned 5269020 relations Mon Mar 21 01:17:31 2022 memory use: 3248.4 MB Mon Mar 21 01:17:31 2022 distribution of cycle lengths: Mon Mar 21 01:17:31 2022 1 relations: 768161 Mon Mar 21 01:17:31 2022 2 relations: 1094058 Mon Mar 21 01:17:31 2022 3 relations: 1284926 Mon Mar 21 01:17:31 2022 4 relations: 1306050 Mon Mar 21 01:17:31 2022 5 relations: 1317465 Mon Mar 21 01:17:31 2022 6 relations: 1277175 Mon Mar 21 01:17:31 2022 7 relations: 1217623 Mon Mar 21 01:17:31 2022 8 relations: 1131080 Mon Mar 21 01:17:31 2022 9 relations: 1032885 Mon Mar 21 01:17:31 2022 10+ relations: 4657297 Mon Mar 21 01:17:31 2022 heaviest cycle: 28 relations Mon Mar 21 01:18:01 2022 RelProcTime: 5151 Mon Mar 21 01:18:01 2022 elapsed time 01:25:51 Mon Mar 21 01:18:51 2022 Mon Mar 21 01:18:51 2022 Mon Mar 21 01:18:51 2022 Msieve v. 1.54 (SVN unknown) Mon Mar 21 01:18:51 2022 random seeds: 0c3d5a8d a2042371 Mon Mar 21 01:18:51 2022 MPI process 0 of 1 Mon Mar 21 01:18:51 2022 factoring 5507055008503847175427511836444905477655887936904443750226051734874957287516406651481980830600296706186305964116385320439184175993965217750449712142253210690764509266067631759794594378142148043497899052874021952102052057 (220 digits) Mon Mar 21 01:18:51 2022 no P-1/P+1/ECM available, skipping Mon Mar 21 01:18:51 2022 commencing number field sieve (220-digit input) Mon Mar 21 01:18:52 2022 R0: 54763699237492901685126120802225273763666521 Mon Mar 21 01:18:52 2022 R1: -11972515182562019788602740026717047105681 Mon Mar 21 01:18:52 2022 A0: 11 Mon Mar 21 01:18:52 2022 A1: 0 Mon Mar 21 01:18:52 2022 A2: 0 Mon Mar 21 01:18:52 2022 A3: 0 Mon Mar 21 01:18:52 2022 A4: 0 Mon Mar 21 01:18:52 2022 A5: 0 Mon Mar 21 01:18:52 2022 A6: 9 Mon Mar 21 01:18:52 2022 skew 1.03, size 5.281e-13, alpha 0.776, combined = 7.230e-14 rroots = 0 Mon Mar 21 01:18:52 2022 Mon Mar 21 01:18:52 2022 commencing linear algebra Mon Mar 21 01:18:52 2022 using VBITS=128 Mon Mar 21 01:18:52 2022 initialized process (0,0) of 1 x 1 grid Mon Mar 21 01:18:53 2022 read 15086720 cycles Mon Mar 21 01:19:18 2022 cycles contain 47786089 unique relations Mon Mar 21 01:23:00 2022 read 47786089 relations Mon Mar 21 01:24:22 2022 using 20 quadratic characters above 4294917295 Mon Mar 21 01:27:55 2022 building initial matrix Mon Mar 21 01:37:54 2022 memory use: 6154.7 MB Mon Mar 21 01:38:06 2022 read 15086720 cycles Mon Mar 21 01:38:08 2022 matrix is 15086543 x 15086720 (6617.3 MB) with weight 1895379903 (125.63/col) Mon Mar 21 01:38:08 2022 sparse part has weight 1568732797 (103.98/col) Mon Mar 21 01:40:49 2022 filtering completed in 2 passes Mon Mar 21 01:40:51 2022 matrix is 15085813 x 15085990 (6617.2 MB) with weight 1895353088 (125.64/col) Mon Mar 21 01:40:51 2022 sparse part has weight 1568721737 (103.99/col) Mon Mar 21 01:42:21 2022 matrix starts at (0, 0) Mon Mar 21 01:42:23 2022 matrix is 15085813 x 15085990 (6617.2 MB) with weight 1895353088 (125.64/col) Mon Mar 21 01:42:23 2022 sparse part has weight 1568721737 (103.99/col) Mon Mar 21 01:42:23 2022 saving the first 112 matrix rows for later Mon Mar 21 01:42:26 2022 matrix includes 128 packed rows Mon Mar 21 01:42:29 2022 matrix is 15085701 x 15085990 (6165.0 MB) with weight 1513704967 (100.34/col) Mon Mar 21 01:42:29 2022 sparse part has weight 1435097955 (95.13/col) Mon Mar 21 01:42:29 2022 using block size 8192 and superblock size 1216512 for processor cache size 25344 kB Mon Mar 21 01:43:02 2022 commencing Lanczos iteration (4 threads) Mon Mar 21 01:43:02 2022 memory use: 7140.5 MB Mon Mar 21 01:44:29 2022 linear algebra at 0.0%, ETA 218h48m Mon Mar 21 01:44:57 2022 checkpointing every 70000 dimensions Mon Mar 21 01:49:24 2022 Mon Mar 21 01:49:24 2022 Mon Mar 21 01:49:24 2022 Msieve v. 1.54 (SVN Unversioned directory) Mon Mar 21 01:49:24 2022 random seeds: 99258ab7 6c4ac1ad Mon Mar 21 01:49:24 2022 MPI process 0 of 320 Mon Mar 21 01:49:24 2022 factoring 5507055008503847175427511836444905477655887936904443750226051734874957287516406651481980830600296706186305964116385320439184175993965217750449712142253210690764509266067631759794594378142148043497899052874021952102052057 (220 digits) Mon Mar 21 01:49:28 2022 no P-1/P+1/ECM available, skipping Mon Mar 21 01:49:28 2022 commencing number field sieve (220-digit input) Mon Mar 21 01:49:28 2022 R0: 54763699237492901685126120802225273763666521 Mon Mar 21 01:49:28 2022 R1: -11972515182562019788602740026717047105681 Mon Mar 21 01:49:28 2022 A0: 11 Mon Mar 21 01:49:28 2022 A1: 0 Mon Mar 21 01:49:28 2022 A2: 0 Mon Mar 21 01:49:28 2022 A3: 0 Mon Mar 21 01:49:28 2022 A4: 0 Mon Mar 21 01:49:28 2022 A5: 0 Mon Mar 21 01:49:28 2022 A6: 9 Mon Mar 21 01:49:28 2022 skew 1.03, size 5.281e-13, alpha 0.776, combined = 7.230e-14 rroots = 0 Mon Mar 21 01:49:28 2022 Mon Mar 21 01:49:28 2022 commencing linear algebra Mon Mar 21 01:49:28 2022 using VBITS=128 Mon Mar 21 01:49:28 2022 skipping matrix build Mon Mar 21 01:49:28 2022 initialized process (0,0) of 16 x 20 grid Mon Mar 21 01:49:29 2022 matrix starts at (0, 0) Mon Mar 21 01:49:29 2022 matrix is 942973 x 581204 (52.9 MB) with weight 19797503 (34.06/col) Mon Mar 21 01:49:29 2022 sparse part has weight 7478620 (12.87/col) Mon Mar 21 01:49:29 2022 saving the first 112 matrix rows for later Mon Mar 21 01:49:29 2022 matrix includes 128 packed rows Mon Mar 21 01:49:30 2022 matrix is 942861 x 581204 (41.3 MB) with weight 4964142 ( 8.54/col) Mon Mar 21 01:49:30 2022 sparse part has weight 3850849 ( 6.63/col) Mon Mar 21 01:49:30 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Mon Mar 21 01:49:30 2022 commencing Lanczos iteration (12 threads) Mon Mar 21 01:49:30 2022 memory use: 55.6 MB Mon Mar 21 01:49:31 2022 linear algebra at 0.0%, ETA 0h 0m Mon Mar 21 01:49:32 2022 checkpointing every 7330000 dimensions Mon Mar 21 03:56:33 2022 lanczos halted after 118565 iterations (dim = 15085698) Mon Mar 21 03:59:20 2022 recovered 36 nontrivial dependencies Mon Mar 21 03:59:20 2022 BLanczosTime: 7792 Mon Mar 21 03:59:20 2022 elapsed time 02:09:56 Mon Mar 21 08:30:45 2022 Mon Mar 21 08:30:45 2022 Mon Mar 21 08:30:45 2022 Msieve v. 1.54 (SVN unknown) Mon Mar 21 08:30:45 2022 random seeds: d4a27b2b 96c91bd4 Mon Mar 21 08:30:45 2022 MPI process 0 of 1 Mon Mar 21 08:30:45 2022 factoring 5507055008503847175427511836444905477655887936904443750226051734874957287516406651481980830600296706186305964116385320439184175993965217750449712142253210690764509266067631759794594378142148043497899052874021952102052057 (220 digits) Mon Mar 21 08:30:46 2022 no P-1/P+1/ECM available, skipping Mon Mar 21 08:30:46 2022 commencing number field sieve (220-digit input) Mon Mar 21 08:30:46 2022 R0: 54763699237492901685126120802225273763666521 Mon Mar 21 08:30:46 2022 R1: -11972515182562019788602740026717047105681 Mon Mar 21 08:30:46 2022 A0: 11 Mon Mar 21 08:30:46 2022 A1: 0 Mon Mar 21 08:30:46 2022 A2: 0 Mon Mar 21 08:30:46 2022 A3: 0 Mon Mar 21 08:30:46 2022 A4: 0 Mon Mar 21 08:30:46 2022 A5: 0 Mon Mar 21 08:30:46 2022 A6: 9 Mon Mar 21 08:30:46 2022 skew 1.03, size 5.281e-13, alpha 0.776, combined = 7.230e-14 rroots = 0 Mon Mar 21 08:30:46 2022 Mon Mar 21 08:30:46 2022 commencing square root phase Mon Mar 21 08:30:46 2022 reading relations for dependency 1 Mon Mar 21 08:30:48 2022 read 7543709 cycles Mon Mar 21 08:30:58 2022 cycles contain 23887794 unique relations Mon Mar 21 08:32:50 2022 read 23887794 relations Mon Mar 21 08:34:24 2022 multiplying 23887794 relations Mon Mar 21 08:49:20 2022 multiply complete, coefficients have about 702.23 million bits Mon Mar 21 08:49:22 2022 initial square root is modulo 1995517 Mon Mar 21 09:05:16 2022 GCD is 1, no factor found Mon Mar 21 09:05:16 2022 reading relations for dependency 2 Mon Mar 21 09:05:17 2022 read 7542746 cycles Mon Mar 21 09:05:27 2022 cycles contain 23889106 unique relations Mon Mar 21 09:07:11 2022 read 23889106 relations Mon Mar 21 09:08:34 2022 multiplying 23889106 relations Mon Mar 21 09:23:27 2022 multiply complete, coefficients have about 702.27 million bits Mon Mar 21 09:23:29 2022 initial square root is modulo 1997101 Mon Mar 21 09:39:23 2022 GCD is N, no factor found Mon Mar 21 09:39:23 2022 reading relations for dependency 3 Mon Mar 21 09:39:25 2022 read 7541138 cycles Mon Mar 21 09:39:34 2022 cycles contain 23887698 unique relations Mon Mar 21 09:41:25 2022 read 23887698 relations Mon Mar 21 09:42:47 2022 multiplying 23887698 relations Mon Mar 21 09:57:43 2022 multiply complete, coefficients have about 702.23 million bits Mon Mar 21 09:57:45 2022 initial square root is modulo 1995661 Mon Mar 21 10:13:39 2022 sqrtTime: 6173 Mon Mar 21 10:13:39 2022 p71 factor: 12509539700751732567799212224203534942256862923559959185879457830872563 Mon Mar 21 10:13:39 2022 p150 factor: 440228428882392301626057287194810749542481515847594591051397164343590242409265006856736236934478072928576291012415813387059686137015412017651959956739 Mon Mar 21 10:13:39 2022 elapsed time 01:42:54