Wed Jan 9 22:11:04 2019 Wed Jan 9 22:11:04 2019 Wed Jan 9 22:11:04 2019 Msieve v. 1.53 (SVN 988M) Wed Jan 9 22:11:04 2019 random seeds: 86052b79 8fec2190 Wed Jan 9 22:11:04 2019 factoring 1531408094571888035143235642536780945737069548869235388420294869348886171332359012926295742789662186158394642215123482488099084777788501547056641969377286487766373029587644078553972377446386432960342024809878995618251633235249237341641 (235 digits) Wed Jan 9 22:11:05 2019 searching for 15-digit factors Wed Jan 9 22:11:08 2019 commencing number field sieve (235-digit input) Wed Jan 9 22:11:08 2019 R0: 34043375294269361814447226316251202354603 Wed Jan 9 22:11:08 2019 R1: -1 Wed Jan 9 22:11:08 2019 A0: -31883 Wed Jan 9 22:11:08 2019 A1: 0 Wed Jan 9 22:11:08 2019 A2: 0 Wed Jan 9 22:11:08 2019 A3: 0 Wed Jan 9 22:11:08 2019 A4: 0 Wed Jan 9 22:11:08 2019 A5: 0 Wed Jan 9 22:11:08 2019 A6: 1 Wed Jan 9 22:11:08 2019 skew 5.63, size 2.678e-12, alpha 0.792, combined = 2.490e-13 rroots = 2 Wed Jan 9 22:11:08 2019 Wed Jan 9 22:11:08 2019 commencing relation filtering Wed Jan 9 22:11:08 2019 setting target matrix density to 130.0 Wed Jan 9 22:11:08 2019 estimated available RAM is 65536.0 MB Wed Jan 9 22:11:08 2019 commencing duplicate removal, pass 1 Wed Jan 9 22:13:05 2019 error -9 reading relation 11289076 [907 more error lines] Wed Jan 9 22:46:48 2019 error -5 reading relation 238970957 Wed Jan 9 22:46:49 2019 skipped 3 relations with b > 2^32 Wed Jan 9 22:46:49 2019 skipped 569 relations with composite factors Wed Jan 9 22:46:49 2019 found 49460795 hash collisions in 239097406 relations Wed Jan 9 22:47:06 2019 added 1216674 free relations Wed Jan 9 22:47:06 2019 commencing duplicate removal, pass 2 Wed Jan 9 22:51:25 2019 found 49638037 duplicates and 190676043 unique relations Wed Jan 9 22:51:25 2019 memory use: 1321.5 MB Wed Jan 9 22:51:26 2019 reading ideals above 720000 Wed Jan 9 22:51:26 2019 commencing singleton removal, initial pass Wed Jan 9 23:18:57 2019 memory use: 5512.0 MB Wed Jan 9 23:18:58 2019 reading all ideals from disk Wed Jan 9 23:19:02 2019 memory use: 7579.4 MB Wed Jan 9 23:19:26 2019 keeping 177792198 ideals with weight <= 200, target excess is 945526 Wed Jan 9 23:19:52 2019 commencing in-memory singleton removal Wed Jan 9 23:20:11 2019 begin with 190676043 relations and 177792198 unique ideals Wed Jan 9 23:23:25 2019 reduce to 124765524 relations and 105324932 ideals in 14 passes Wed Jan 9 23:23:25 2019 max relations containing the same ideal: 159 Wed Jan 9 23:24:29 2019 removing 11553705 relations and 9553705 ideals in 2000000 cliques Wed Jan 9 23:24:34 2019 commencing in-memory singleton removal Wed Jan 9 23:24:45 2019 begin with 113211819 relations and 105324932 unique ideals Wed Jan 9 23:26:18 2019 reduce to 112310043 relations and 94850047 ideals in 8 passes Wed Jan 9 23:26:18 2019 max relations containing the same ideal: 152 Wed Jan 9 23:27:15 2019 removing 8868626 relations and 6868626 ideals in 2000000 cliques Wed Jan 9 23:27:19 2019 commencing in-memory singleton removal Wed Jan 9 23:27:29 2019 begin with 103441417 relations and 94850047 unique ideals Wed Jan 9 23:28:43 2019 reduce to 102840890 relations and 87369698 ideals in 7 passes Wed Jan 9 23:28:43 2019 max relations containing the same ideal: 143 Wed Jan 9 23:29:36 2019 removing 8059412 relations and 6059412 ideals in 2000000 cliques Wed Jan 9 23:29:40 2019 commencing in-memory singleton removal Wed Jan 9 23:29:50 2019 begin with 94781478 relations and 87369698 unique ideals Wed Jan 9 23:31:21 2019 reduce to 94246489 relations and 80765343 ideals in 9 passes Wed Jan 9 23:31:21 2019 max relations containing the same ideal: 135 Wed Jan 9 23:32:12 2019 removing 7652062 relations and 5652062 ideals in 2000000 cliques Wed Jan 9 23:32:16 2019 commencing in-memory singleton removal Wed Jan 9 23:32:25 2019 begin with 86594427 relations and 80765343 unique ideals Wed Jan 9 23:33:40 2019 reduce to 86080517 relations and 74589318 ideals in 8 passes Wed Jan 9 23:33:40 2019 max relations containing the same ideal: 126 Wed Jan 9 23:34:26 2019 removing 7415706 relations and 5415706 ideals in 2000000 cliques Wed Jan 9 23:34:29 2019 commencing in-memory singleton removal Wed Jan 9 23:34:37 2019 begin with 78664811 relations and 74589318 unique ideals Wed Jan 9 23:35:52 2019 reduce to 78150618 relations and 68648586 ideals in 9 passes Wed Jan 9 23:35:52 2019 max relations containing the same ideal: 115 Wed Jan 9 23:36:33 2019 removing 7266207 relations and 5266207 ideals in 2000000 cliques Wed Jan 9 23:36:35 2019 commencing in-memory singleton removal Wed Jan 9 23:36:42 2019 begin with 70884411 relations and 68648586 unique ideals Wed Jan 9 23:37:30 2019 reduce to 70353718 relations and 62839457 ideals in 7 passes Wed Jan 9 23:37:30 2019 max relations containing the same ideal: 110 Wed Jan 9 23:38:05 2019 removing 7171876 relations and 5171876 ideals in 2000000 cliques Wed Jan 9 23:38:08 2019 commencing in-memory singleton removal Wed Jan 9 23:38:14 2019 begin with 63181842 relations and 62839457 unique ideals Wed Jan 9 23:39:02 2019 reduce to 62613998 relations and 57085659 ideals in 8 passes Wed Jan 9 23:39:02 2019 max relations containing the same ideal: 100 Wed Jan 9 23:39:34 2019 removing 7119976 relations and 5119976 ideals in 2000000 cliques Wed Jan 9 23:39:37 2019 commencing in-memory singleton removal Wed Jan 9 23:39:42 2019 begin with 55494022 relations and 57085659 unique ideals Wed Jan 9 23:40:24 2019 reduce to 54871188 relations and 51325453 ideals in 8 passes Wed Jan 9 23:40:24 2019 max relations containing the same ideal: 93 Wed Jan 9 23:40:52 2019 removing 7111347 relations and 5111347 ideals in 2000000 cliques Wed Jan 9 23:40:55 2019 commencing in-memory singleton removal Wed Jan 9 23:40:59 2019 begin with 47759841 relations and 51325453 unique ideals Wed Jan 9 23:41:34 2019 reduce to 47047730 relations and 45479057 ideals in 8 passes Wed Jan 9 23:41:34 2019 max relations containing the same ideal: 84 Wed Jan 9 23:41:59 2019 removing 2267044 relations and 1795182 ideals in 471862 cliques Wed Jan 9 23:42:00 2019 commencing in-memory singleton removal Wed Jan 9 23:42:04 2019 begin with 44780686 relations and 45479057 unique ideals Wed Jan 9 23:42:33 2019 reduce to 44702373 relations and 43604841 ideals in 7 passes Wed Jan 9 23:42:33 2019 max relations containing the same ideal: 82 Wed Jan 9 23:43:01 2019 relations with 0 large ideals: 36192 Wed Jan 9 23:43:01 2019 relations with 1 large ideals: 17960 Wed Jan 9 23:43:01 2019 relations with 2 large ideals: 241757 Wed Jan 9 23:43:01 2019 relations with 3 large ideals: 1478164 Wed Jan 9 23:43:01 2019 relations with 4 large ideals: 4917799 Wed Jan 9 23:43:01 2019 relations with 5 large ideals: 9784768 Wed Jan 9 23:43:01 2019 relations with 6 large ideals: 12090751 Wed Jan 9 23:43:01 2019 relations with 7+ large ideals: 16134982 Wed Jan 9 23:43:01 2019 commencing 2-way merge Wed Jan 9 23:43:33 2019 reduce to 29545683 relation sets and 28448151 unique ideals Wed Jan 9 23:43:33 2019 commencing full merge Thu Jan 10 00:07:33 2019 memory use: 1321.5 MB Thu Jan 10 00:07:36 2019 found 111227 cycles, need 6424551 Thu Jan 10 00:07:36 2019 too few cycles, matrix probably cannot build Thu Jan 10 07:30:41 2019 Thu Jan 10 07:30:41 2019 Thu Jan 10 07:30:41 2019 Msieve v. 1.53 (SVN 988M) Thu Jan 10 07:30:41 2019 random seeds: 4919db54 f435266e Thu Jan 10 07:30:41 2019 factoring 1531408094571888035143235642536780945737069548869235388420294869348886171332359012926295742789662186158394642215123482488099084777788501547056641969377286487766373029587644078553972377446386432960342024809878995618251633235249237341641 (235 digits) Thu Jan 10 07:30:42 2019 searching for 15-digit factors Thu Jan 10 07:30:44 2019 commencing number field sieve (235-digit input) Thu Jan 10 07:30:44 2019 R0: 34043375294269361814447226316251202354603 Thu Jan 10 07:30:44 2019 R1: -1 Thu Jan 10 07:30:44 2019 A0: -31883 Thu Jan 10 07:30:44 2019 A1: 0 Thu Jan 10 07:30:44 2019 A2: 0 Thu Jan 10 07:30:44 2019 A3: 0 Thu Jan 10 07:30:44 2019 A4: 0 Thu Jan 10 07:30:44 2019 A5: 0 Thu Jan 10 07:30:44 2019 A6: 1 Thu Jan 10 07:30:44 2019 skew 5.63, size 2.678e-12, alpha 0.792, combined = 2.490e-13 rroots = 2 Thu Jan 10 07:30:44 2019 Thu Jan 10 07:30:44 2019 commencing relation filtering Thu Jan 10 07:30:44 2019 setting target matrix density to 120.0 Thu Jan 10 07:30:44 2019 estimated available RAM is 65536.0 MB Thu Jan 10 07:30:44 2019 commencing duplicate removal, pass 1 Thu Jan 10 07:32:16 2019 error -9 reading relation 11289076 [907 more error lines] Thu Jan 10 08:03:32 2019 error -5 reading relation 238970957 Thu Jan 10 08:03:51 2019 skipped 3 relations with b > 2^32 Thu Jan 10 08:03:51 2019 skipped 569 relations with composite factors Thu Jan 10 08:03:51 2019 found 49540013 hash collisions in 240314080 relations Thu Jan 10 08:04:02 2019 commencing duplicate removal, pass 2 Thu Jan 10 08:08:09 2019 found 49638037 duplicates and 190676043 unique relations Thu Jan 10 08:08:09 2019 memory use: 1321.5 MB Thu Jan 10 08:08:09 2019 reading ideals above 720000 Thu Jan 10 08:08:09 2019 commencing singleton removal, initial pass Thu Jan 10 08:34:22 2019 memory use: 5512.0 MB Thu Jan 10 08:34:23 2019 reading all ideals from disk Thu Jan 10 08:34:27 2019 memory use: 7579.4 MB Thu Jan 10 08:34:50 2019 keeping 177792198 ideals with weight <= 200, target excess is 945526 Thu Jan 10 08:35:16 2019 commencing in-memory singleton removal Thu Jan 10 08:35:34 2019 begin with 190676043 relations and 177792198 unique ideals Thu Jan 10 08:38:40 2019 reduce to 124765524 relations and 105324932 ideals in 14 passes Thu Jan 10 08:38:40 2019 max relations containing the same ideal: 159 Thu Jan 10 08:39:41 2019 removing 11553705 relations and 9553705 ideals in 2000000 cliques Thu Jan 10 08:39:46 2019 commencing in-memory singleton removal Thu Jan 10 08:39:57 2019 begin with 113211819 relations and 105324932 unique ideals Thu Jan 10 08:41:27 2019 reduce to 112310043 relations and 94850047 ideals in 8 passes Thu Jan 10 08:41:28 2019 max relations containing the same ideal: 152 Thu Jan 10 08:42:23 2019 removing 8868626 relations and 6868626 ideals in 2000000 cliques Thu Jan 10 08:42:27 2019 commencing in-memory singleton removal Thu Jan 10 08:42:37 2019 begin with 103441417 relations and 94850047 unique ideals Thu Jan 10 08:43:48 2019 reduce to 102840890 relations and 87369698 ideals in 7 passes Thu Jan 10 08:43:48 2019 max relations containing the same ideal: 143 Thu Jan 10 08:44:37 2019 removing 8059412 relations and 6059412 ideals in 2000000 cliques Thu Jan 10 08:44:40 2019 commencing in-memory singleton removal Thu Jan 10 08:44:49 2019 begin with 94781478 relations and 87369698 unique ideals Thu Jan 10 08:46:12 2019 reduce to 94246489 relations and 80765343 ideals in 9 passes Thu Jan 10 08:46:13 2019 max relations containing the same ideal: 135 Thu Jan 10 08:47:00 2019 removing 7652062 relations and 5652062 ideals in 2000000 cliques Thu Jan 10 08:47:03 2019 commencing in-memory singleton removal Thu Jan 10 08:47:11 2019 begin with 86594427 relations and 80765343 unique ideals Thu Jan 10 08:48:19 2019 reduce to 86080517 relations and 74589318 ideals in 8 passes Thu Jan 10 08:48:20 2019 max relations containing the same ideal: 126 Thu Jan 10 08:49:03 2019 removing 7415706 relations and 5415706 ideals in 2000000 cliques Thu Jan 10 08:49:06 2019 commencing in-memory singleton removal Thu Jan 10 08:49:13 2019 begin with 78664811 relations and 74589318 unique ideals Thu Jan 10 08:50:21 2019 reduce to 78150618 relations and 68648586 ideals in 9 passes Thu Jan 10 08:50:21 2019 max relations containing the same ideal: 115 Thu Jan 10 08:51:00 2019 removing 7266207 relations and 5266207 ideals in 2000000 cliques Thu Jan 10 08:51:02 2019 commencing in-memory singleton removal Thu Jan 10 08:51:09 2019 begin with 70884411 relations and 68648586 unique ideals Thu Jan 10 08:51:56 2019 reduce to 70353718 relations and 62839457 ideals in 7 passes Thu Jan 10 08:51:57 2019 max relations containing the same ideal: 110 Thu Jan 10 08:52:32 2019 removing 7171876 relations and 5171876 ideals in 2000000 cliques Thu Jan 10 08:52:34 2019 commencing in-memory singleton removal Thu Jan 10 08:52:40 2019 begin with 63181842 relations and 62839457 unique ideals Thu Jan 10 08:53:28 2019 reduce to 62613998 relations and 57085659 ideals in 8 passes Thu Jan 10 08:53:29 2019 max relations containing the same ideal: 100 Thu Jan 10 08:54:00 2019 removing 7119976 relations and 5119976 ideals in 2000000 cliques Thu Jan 10 08:54:02 2019 commencing in-memory singleton removal Thu Jan 10 08:54:07 2019 begin with 55494022 relations and 57085659 unique ideals Thu Jan 10 08:54:48 2019 reduce to 54871188 relations and 51325453 ideals in 8 passes Thu Jan 10 08:54:48 2019 max relations containing the same ideal: 93 Thu Jan 10 08:55:15 2019 removing 7111347 relations and 5111347 ideals in 2000000 cliques Thu Jan 10 08:55:18 2019 commencing in-memory singleton removal Thu Jan 10 08:55:22 2019 begin with 47759841 relations and 51325453 unique ideals Thu Jan 10 08:55:56 2019 reduce to 47047730 relations and 45479057 ideals in 8 passes Thu Jan 10 08:55:56 2019 max relations containing the same ideal: 84 Thu Jan 10 08:56:19 2019 removing 2267044 relations and 1795182 ideals in 471862 cliques Thu Jan 10 08:56:21 2019 commencing in-memory singleton removal Thu Jan 10 08:56:25 2019 begin with 44780686 relations and 45479057 unique ideals Thu Jan 10 08:56:53 2019 reduce to 44702373 relations and 43604841 ideals in 7 passes Thu Jan 10 08:56:53 2019 max relations containing the same ideal: 82 Thu Jan 10 08:57:20 2019 relations with 0 large ideals: 36192 Thu Jan 10 08:57:20 2019 relations with 1 large ideals: 17960 Thu Jan 10 08:57:20 2019 relations with 2 large ideals: 241757 Thu Jan 10 08:57:20 2019 relations with 3 large ideals: 1478164 Thu Jan 10 08:57:20 2019 relations with 4 large ideals: 4917799 Thu Jan 10 08:57:20 2019 relations with 5 large ideals: 9784768 Thu Jan 10 08:57:20 2019 relations with 6 large ideals: 12090751 Thu Jan 10 08:57:20 2019 relations with 7+ large ideals: 16134982 Thu Jan 10 08:57:20 2019 commencing 2-way merge Thu Jan 10 08:57:51 2019 reduce to 29545683 relation sets and 28448151 unique ideals Thu Jan 10 08:57:51 2019 commencing full merge Thu Jan 10 09:10:20 2019 memory use: 3654.4 MB Thu Jan 10 09:10:28 2019 found 13042756 cycles, need 13012351 Thu Jan 10 09:10:29 2019 weight of 13012351 cycles is about 1561790986 (120.02/cycle) Thu Jan 10 09:10:29 2019 distribution of cycle lengths: Thu Jan 10 09:10:29 2019 1 relations: 597038 Thu Jan 10 09:10:29 2019 2 relations: 806017 Thu Jan 10 09:10:29 2019 3 relations: 924235 Thu Jan 10 09:10:29 2019 4 relations: 934693 Thu Jan 10 09:10:29 2019 5 relations: 937978 Thu Jan 10 09:10:29 2019 6 relations: 912192 Thu Jan 10 09:10:29 2019 7 relations: 887733 Thu Jan 10 09:10:29 2019 8 relations: 843357 Thu Jan 10 09:10:29 2019 9 relations: 796285 Thu Jan 10 09:10:29 2019 10+ relations: 5372823 Thu Jan 10 09:10:29 2019 heaviest cycle: 28 relations Thu Jan 10 09:10:34 2019 commencing cycle optimization Thu Jan 10 09:11:07 2019 start with 118129210 relations Thu Jan 10 09:17:02 2019 pruned 5445111 relations Thu Jan 10 09:17:03 2019 memory use: 3066.0 MB Thu Jan 10 09:17:03 2019 distribution of cycle lengths: Thu Jan 10 09:17:03 2019 1 relations: 597038 Thu Jan 10 09:17:03 2019 2 relations: 826808 Thu Jan 10 09:17:03 2019 3 relations: 964727 Thu Jan 10 09:17:03 2019 4 relations: 973593 Thu Jan 10 09:17:03 2019 5 relations: 983407 Thu Jan 10 09:17:03 2019 6 relations: 955799 Thu Jan 10 09:17:03 2019 7 relations: 932786 Thu Jan 10 09:17:03 2019 8 relations: 881853 Thu Jan 10 09:17:03 2019 9 relations: 831897 Thu Jan 10 09:17:03 2019 10+ relations: 5064443 Thu Jan 10 09:17:03 2019 heaviest cycle: 28 relations Thu Jan 10 09:17:44 2019 RelProcTime: 6420 Thu Jan 10 09:17:44 2019 Thu Jan 10 09:17:44 2019 commencing linear algebra Thu Jan 10 09:17:47 2019 read 13012351 cycles Thu Jan 10 09:18:18 2019 cycles contain 44108939 unique relations Thu Jan 10 09:24:39 2019 read 44108939 relations Thu Jan 10 09:26:14 2019 using 20 quadratic characters above 4294917295 Thu Jan 10 09:29:10 2019 building initial matrix Thu Jan 10 09:38:31 2019 memory use: 5631.0 MB Thu Jan 10 09:38:45 2019 read 13012351 cycles Thu Jan 10 09:38:46 2019 matrix is 13012174 x 13012351 (6098.3 MB) with weight 1785989413 (137.25/col) Thu Jan 10 09:38:46 2019 sparse part has weight 1455493782 (111.85/col) Thu Jan 10 09:42:07 2019 filtering completed in 2 passes Thu Jan 10 09:42:09 2019 matrix is 13011938 x 13012115 (6098.3 MB) with weight 1785979539 (137.26/col) Thu Jan 10 09:42:09 2019 sparse part has weight 1455490319 (111.86/col) Thu Jan 10 09:45:48 2019 matrix starts at (0, 0) Thu Jan 10 09:45:49 2019 matrix is 13011938 x 13012115 (6098.3 MB) with weight 1785979539 (137.26/col) Thu Jan 10 09:45:49 2019 sparse part has weight 1455490319 (111.86/col) Thu Jan 10 09:45:49 2019 saving the first 48 matrix rows for later Thu Jan 10 09:45:52 2019 matrix includes 64 packed rows Thu Jan 10 09:45:53 2019 matrix is 13011890 x 13012115 (5907.6 MB) with weight 1537249219 (118.14/col) Thu Jan 10 09:45:53 2019 sparse part has weight 1418527812 (109.02/col) Thu Jan 10 09:45:53 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Thu Jan 10 09:47:28 2019 commencing Lanczos iteration (8 threads) Thu Jan 10 09:47:30 2019 memory use: 5049.5 MB Thu Jan 10 09:48:02 2019 linear algebra at 0.0%, ETA 73h59m Thu Jan 10 09:48:12 2019 checkpointing every 180000 dimensions Sun Jan 13 10:13:03 2019 lanczos halted after 205777 iterations (dim = 13011887) Sun Jan 13 10:13:26 2019 recovered 34 nontrivial dependencies Sun Jan 13 10:13:32 2019 BLanczosTime: 262548 Sun Jan 13 10:13:32 2019 Sun Jan 13 10:13:32 2019 commencing square root phase Sun Jan 13 10:13:32 2019 handling dependencies 1 to 64 Sun Jan 13 10:13:32 2019 reading relations for dependency 1 Sun Jan 13 10:13:44 2019 read 6505069 cycles Sun Jan 13 10:13:58 2019 cycles contain 22056766 unique relations Sun Jan 13 10:19:18 2019 read 22056766 relations Sun Jan 13 10:20:56 2019 multiplying 22056766 relations Sun Jan 13 10:38:56 2019 multiply complete, coefficients have about 579.11 million bits Sun Jan 13 10:39:00 2019 initial square root is modulo 156901 Sun Jan 13 10:56:44 2019 sqrtTime: 2592 Sun Jan 13 10:56:46 2019 p99 factor: 179688739626543368103887960599192137324708415572129421190731752267973276431992503540037624537232559 Sun Jan 13 10:56:46 2019 p136 factor: 8522560165732670003527928348319817654875995634547556405304125358371625954458902613267150560362839218221786746718199289011590433473153799 Sun Jan 13 10:56:46 2019 elapsed time 75:26:05