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Tue Apr 7 20:29:01 2020 Tue Apr 7 20:29:01 2020 Tue Apr 7 20:29:01 2020 Msieve v. 1.53 (SVN 988M) Tue Apr 7 20:29:01 2020 random seeds: 30d145db 6aa55aec Tue Apr 7 20:29:01 2020 factoring 12758393486789893819219845900774142659469420243947114825489483669535147222272013055633166751547405854155537440582991968675873037171335215116515656648651283158558180521058273 (173 digits) Tue Apr 7 20:29:02 2020 searching for 15-digit factors Tue Apr 7 20:29:03 2020 commencing number field sieve (173-digit input) Tue Apr 7 20:29:03 2020 R0: -1524252801518868425667984477401750 Tue Apr 7 20:29:03 2020 R1: 8748088514687269 Tue Apr 7 20:29:03 2020 A0: -567898302962816941780345175036547348725823 Tue Apr 7 20:29:03 2020 A1: 1064207955368128004426032415953809688 Tue Apr 7 20:29:03 2020 A2: 18746619401049460151873529411 Tue Apr 7 20:29:03 2020 A3: -2599807633418476141728 Tue Apr 7 20:29:03 2020 A4: -22327772229508 Tue Apr 7 20:29:03 2020 A5: 1550640 Tue Apr 7 20:29:03 2020 skew 27825046.70, size 8.364e-17, alpha -7.982, combined = 2.537e-13 rroots = 5 Tue Apr 7 20:29:03 2020 Tue Apr 7 20:29:03 2020 commencing relation filtering Tue Apr 7 20:29:03 2020 setting target matrix density to 120.0 Tue Apr 7 20:29:03 2020 estimated available RAM is 32768.0 MB Tue Apr 7 20:29:03 2020 commencing duplicate removal, pass 1 Tue Apr 7 20:31:57 2020 error -15 reading relation 28870839 Tue Apr 7 20:39:14 2020 error -5 reading relation 100923617 Tue Apr 7 20:57:49 2020 error -5 reading relation 282494853 Tue Apr 7 20:58:41 2020 error -15 reading relation 290854232 Tue Apr 7 21:01:26 2020 error -1 reading relation 317857325 Tue Apr 7 21:03:19 2020 error -15 reading relation 336318702 Tue Apr 7 21:03:39 2020 error -15 reading relation 339414995 Tue Apr 7 21:06:11 2020 error -11 reading relation 364183892 Tue Apr 7 21:06:48 2020 skipped 1 relations with b > 2^32 Tue Apr 7 21:06:48 2020 skipped 2 relations with composite factors Tue Apr 7 21:06:48 2020 found 28545549 hash collisions in 370267208 relations Tue Apr 7 21:07:10 2020 added 122107 free relations Tue Apr 7 21:07:10 2020 commencing duplicate removal, pass 2 Tue Apr 7 21:22:18 2020 found 53 duplicates and 370389262 unique relations Tue Apr 7 21:22:18 2020 memory use: 1321.5 MB Tue Apr 7 21:22:19 2020 reading ideals above 199950336 Tue Apr 7 21:22:19 2020 commencing singleton removal, initial pass Tue Apr 7 21:50:06 2020 memory use: 6024.0 MB Tue Apr 7 21:50:07 2020 reading all ideals from disk Tue Apr 7 21:52:42 2020 memory use: 6552.5 MB Tue Apr 7 21:52:56 2020 commencing in-memory singleton removal Tue Apr 7 21:53:09 2020 begin with 370389262 relations and 311497977 unique ideals Tue Apr 7 21:56:07 2020 reduce to 235128666 relations and 161524233 ideals in 16 passes Tue Apr 7 21:56:07 2020 max relations containing the same ideal: 54 Tue Apr 7 21:56:34 2020 reading ideals above 720000 Tue Apr 7 21:56:35 2020 commencing singleton removal, initial pass Tue Apr 7 22:20:43 2020 memory use: 5512.0 MB Tue Apr 7 22:20:44 2020 reading all ideals from disk Tue Apr 7 22:24:25 2020 memory use: 9294.8 MB Tue Apr 7 22:24:45 2020 keeping 182498819 ideals with weight <= 200, target excess is 1180175 Tue Apr 7 22:25:08 2020 commencing in-memory singleton removal Tue Apr 7 22:25:24 2020 begin with 235128666 relations and 182498819 unique ideals Tue Apr 7 22:27:14 2020 reduce to 235126080 relations and 182496233 ideals in 6 passes Tue Apr 7 22:27:14 2020 max relations containing the same ideal: 200 Tue Apr 7 22:28:41 2020 removing 12921993 relations and 10921993 ideals in 2000000 cliques Tue Apr 7 22:28:46 2020 commencing in-memory singleton removal Tue Apr 7 22:29:01 2020 begin with 222204087 relations and 182496233 unique ideals Tue Apr 7 22:31:19 2020 reduce to 221650060 relations and 171013677 ideals in 8 passes Tue Apr 7 22:31:19 2020 max relations containing the same ideal: 199 Tue Apr 7 22:32:42 2020 removing 9654675 relations and 7654675 ideals in 2000000 cliques Tue Apr 7 22:32:46 2020 commencing in-memory singleton removal Tue Apr 7 22:33:00 2020 begin with 211995385 relations and 171013677 unique ideals Tue Apr 7 22:34:55 2020 reduce to 211648411 relations and 163008520 ideals in 7 passes Tue Apr 7 22:34:55 2020 max relations containing the same ideal: 196 Tue Apr 7 22:36:13 2020 removing 8627328 relations and 6627328 ideals in 2000000 cliques Tue Apr 7 22:36:17 2020 commencing in-memory singleton removal Tue Apr 7 22:36:31 2020 begin with 203021083 relations and 163008520 unique ideals Tue Apr 7 22:38:21 2020 reduce to 202729927 relations and 156087124 ideals in 7 passes Tue Apr 7 22:38:21 2020 max relations containing the same ideal: 192 Tue Apr 7 22:39:36 2020 removing 8061767 relations and 6061767 ideals in 2000000 cliques Tue Apr 7 22:39:39 2020 commencing in-memory singleton removal Tue Apr 7 22:39:52 2020 begin with 194668160 relations and 156087124 unique ideals Tue Apr 7 22:41:37 2020 reduce to 194402698 relations and 149757313 ideals in 7 passes Tue Apr 7 22:41:37 2020 max relations containing the same ideal: 191 Tue Apr 7 22:42:49 2020 removing 7690548 relations and 5690548 ideals in 2000000 cliques Tue Apr 7 22:42:53 2020 commencing in-memory singleton removal Tue Apr 7 22:43:05 2020 begin with 186712150 relations and 149757313 unique ideals Tue Apr 7 22:44:45 2020 reduce to 186462494 relations and 143814618 ideals in 7 passes Tue Apr 7 22:44:45 2020 max relations containing the same ideal: 186 Tue Apr 7 22:45:55 2020 removing 7430211 relations and 5430211 ideals in 2000000 cliques Tue Apr 7 22:45:58 2020 commencing in-memory singleton removal Tue Apr 7 22:46:10 2020 begin with 179032283 relations and 143814618 unique ideals Tue Apr 7 22:47:33 2020 reduce to 178792862 relations and 138142514 ideals in 6 passes Tue Apr 7 22:47:33 2020 max relations containing the same ideal: 183 Tue Apr 7 22:48:38 2020 removing 7229774 relations and 5229774 ideals in 2000000 cliques Tue Apr 7 22:48:42 2020 commencing in-memory singleton removal Tue Apr 7 22:48:53 2020 begin with 171563088 relations and 138142514 unique ideals Tue Apr 7 22:50:24 2020 reduce to 171329659 relations and 132676861 ideals in 7 passes Tue Apr 7 22:50:24 2020 max relations containing the same ideal: 179 Tue Apr 7 22:51:28 2020 removing 7075739 relations and 5075739 ideals in 2000000 cliques Tue Apr 7 22:51:31 2020 commencing in-memory singleton removal Tue Apr 7 22:51:42 2020 begin with 164253920 relations and 132676861 unique ideals Tue Apr 7 22:53:10 2020 reduce to 164023649 relations and 127368230 ideals in 7 passes Tue Apr 7 22:53:10 2020 max relations containing the same ideal: 174 Tue Apr 7 22:54:11 2020 removing 6952986 relations and 4952986 ideals in 2000000 cliques Tue Apr 7 22:54:14 2020 commencing in-memory singleton removal Tue Apr 7 22:54:24 2020 begin with 157070663 relations and 127368230 unique ideals Tue Apr 7 22:55:35 2020 reduce to 156840611 relations and 122182569 ideals in 6 passes Tue Apr 7 22:55:35 2020 max relations containing the same ideal: 168 Tue Apr 7 22:56:34 2020 removing 6855672 relations and 4855672 ideals in 2000000 cliques Tue Apr 7 22:56:38 2020 commencing in-memory singleton removal Tue Apr 7 22:56:47 2020 begin with 149984939 relations and 122182569 unique ideals Tue Apr 7 22:57:55 2020 reduce to 149755308 relations and 117094418 ideals in 6 passes Tue Apr 7 22:57:55 2020 max relations containing the same ideal: 163 Tue Apr 7 22:58:51 2020 removing 6774206 relations and 4774206 ideals in 2000000 cliques Tue Apr 7 22:58:54 2020 commencing in-memory singleton removal Tue Apr 7 22:59:03 2020 begin with 142981102 relations and 117094418 unique ideals Tue Apr 7 23:00:18 2020 reduce to 142748553 relations and 112084686 ideals in 7 passes Tue Apr 7 23:00:18 2020 max relations containing the same ideal: 158 Tue Apr 7 23:01:12 2020 removing 6709795 relations and 4709795 ideals in 2000000 cliques Tue Apr 7 23:01:15 2020 commencing in-memory singleton removal Tue Apr 7 23:01:24 2020 begin with 136038758 relations and 112084686 unique ideals Tue Apr 7 23:02:24 2020 reduce to 135802770 relations and 107135955 ideals in 6 passes Tue Apr 7 23:02:24 2020 max relations containing the same ideal: 151 Tue Apr 7 23:03:15 2020 removing 6654940 relations and 4654940 ideals in 2000000 cliques Tue Apr 7 23:03:17 2020 commencing in-memory singleton removal Tue Apr 7 23:03:26 2020 begin with 129147830 relations and 107135955 unique ideals Tue Apr 7 23:04:23 2020 reduce to 128906379 relations and 102236216 ideals in 6 passes Tue Apr 7 23:04:23 2020 max relations containing the same ideal: 146 Tue Apr 7 23:05:11 2020 removing 6614700 relations and 4614700 ideals in 2000000 cliques Tue Apr 7 23:05:13 2020 commencing in-memory singleton removal Tue Apr 7 23:05:21 2020 begin with 122291679 relations and 102236216 unique ideals Tue Apr 7 23:06:33 2020 reduce to 122043536 relations and 97369811 ideals in 8 passes Tue Apr 7 23:06:33 2020 max relations containing the same ideal: 141 Tue Apr 7 23:07:19 2020 removing 6580761 relations and 4580761 ideals in 2000000 cliques Tue Apr 7 23:07:22 2020 commencing in-memory singleton removal Tue Apr 7 23:07:29 2020 begin with 115462775 relations and 97369811 unique ideals Tue Apr 7 23:08:20 2020 reduce to 115206278 relations and 92528616 ideals in 6 passes Tue Apr 7 23:08:20 2020 max relations containing the same ideal: 137 Tue Apr 7 23:09:04 2020 removing 6560993 relations and 4560993 ideals in 2000000 cliques Tue Apr 7 23:09:06 2020 commencing in-memory singleton removal Tue Apr 7 23:09:13 2020 begin with 108645285 relations and 92528616 unique ideals Tue Apr 7 23:10:00 2020 reduce to 108379652 relations and 87697713 ideals in 6 passes Tue Apr 7 23:10:00 2020 max relations containing the same ideal: 131 Tue Apr 7 23:10:41 2020 removing 6546725 relations and 4546725 ideals in 2000000 cliques Tue Apr 7 23:10:44 2020 commencing in-memory singleton removal Tue Apr 7 23:10:50 2020 begin with 101832927 relations and 87697713 unique ideals Tue Apr 7 23:11:41 2020 reduce to 101555546 relations and 82868923 ideals in 7 passes Tue Apr 7 23:11:41 2020 max relations containing the same ideal: 124 Tue Apr 7 23:12:20 2020 removing 6539134 relations and 4539134 ideals in 2000000 cliques Tue Apr 7 23:12:22 2020 commencing in-memory singleton removal Tue Apr 7 23:12:28 2020 begin with 95016412 relations and 82868923 unique ideals Tue Apr 7 23:13:09 2020 reduce to 94724578 relations and 78032692 ideals in 6 passes Tue Apr 7 23:13:09 2020 max relations containing the same ideal: 120 Tue Apr 7 23:13:45 2020 removing 6539709 relations and 4539709 ideals in 2000000 cliques Tue Apr 7 23:13:47 2020 commencing in-memory singleton removal Tue Apr 7 23:13:52 2020 begin with 88184869 relations and 78032692 unique ideals Tue Apr 7 23:14:36 2020 reduce to 87876446 relations and 73178759 ideals in 7 passes Tue Apr 7 23:14:36 2020 max relations containing the same ideal: 114 Tue Apr 7 23:15:09 2020 removing 6549360 relations and 4549360 ideals in 2000000 cliques Tue Apr 7 23:15:11 2020 commencing in-memory singleton removal Tue Apr 7 23:15:16 2020 begin with 81327086 relations and 73178759 unique ideals Tue Apr 7 23:15:56 2020 reduce to 80997991 relations and 68293742 ideals in 7 passes Tue Apr 7 23:15:56 2020 max relations containing the same ideal: 109 Tue Apr 7 23:16:28 2020 removing 6562670 relations and 4562670 ideals in 2000000 cliques Tue Apr 7 23:16:30 2020 commencing in-memory singleton removal Tue Apr 7 23:16:34 2020 begin with 74435321 relations and 68293742 unique ideals Tue Apr 7 23:17:11 2020 reduce to 74079967 relations and 63367995 ideals in 7 passes Tue Apr 7 23:17:11 2020 max relations containing the same ideal: 101 Tue Apr 7 23:17:39 2020 removing 6583560 relations and 4583560 ideals in 2000000 cliques Tue Apr 7 23:17:41 2020 commencing in-memory singleton removal Tue Apr 7 23:17:45 2020 begin with 67496407 relations and 63367995 unique ideals Tue Apr 7 23:18:18 2020 reduce to 67113097 relations and 58392141 ideals in 7 passes Tue Apr 7 23:18:18 2020 max relations containing the same ideal: 94 Tue Apr 7 23:18:44 2020 removing 6618185 relations and 4618185 ideals in 2000000 cliques Tue Apr 7 23:18:46 2020 commencing in-memory singleton removal Tue Apr 7 23:18:49 2020 begin with 60494912 relations and 58392141 unique ideals Tue Apr 7 23:19:22 2020 reduce to 60069675 relations and 53337967 ideals in 8 passes Tue Apr 7 23:19:22 2020 max relations containing the same ideal: 90 Tue Apr 7 23:19:46 2020 removing 6657706 relations and 4657706 ideals in 2000000 cliques Tue Apr 7 23:19:48 2020 commencing in-memory singleton removal Tue Apr 7 23:19:51 2020 begin with 53411969 relations and 53337967 unique ideals Tue Apr 7 23:20:16 2020 reduce to 52932278 relations and 48186993 ideals in 7 passes Tue Apr 7 23:20:16 2020 max relations containing the same ideal: 84 Tue Apr 7 23:20:37 2020 removing 6713039 relations and 4713039 ideals in 2000000 cliques Tue Apr 7 23:20:39 2020 commencing in-memory singleton removal Tue Apr 7 23:20:42 2020 begin with 46219239 relations and 48186993 unique ideals Tue Apr 7 23:21:06 2020 reduce to 45660373 relations and 42897415 ideals in 8 passes Tue Apr 7 23:21:06 2020 max relations containing the same ideal: 75 Tue Apr 7 23:21:24 2020 removing 5062204 relations and 3668250 ideals in 1393954 cliques Tue Apr 7 23:21:25 2020 commencing in-memory singleton removal Tue Apr 7 23:21:28 2020 begin with 40598169 relations and 42897415 unique ideals Tue Apr 7 23:21:49 2020 reduce to 40219500 relations and 38840510 ideals in 8 passes Tue Apr 7 23:21:49 2020 max relations containing the same ideal: 71 Tue Apr 7 23:22:05 2020 removing 74494 relations and 64508 ideals in 9986 cliques Tue Apr 7 23:22:06 2020 commencing in-memory singleton removal Tue Apr 7 23:22:08 2020 begin with 40145006 relations and 38840510 unique ideals Tue Apr 7 23:22:18 2020 reduce to 40144920 relations and 38775916 ideals in 4 passes Tue Apr 7 23:22:18 2020 max relations containing the same ideal: 71 Tue Apr 7 23:22:23 2020 relations with 0 large ideals: 3733 Tue Apr 7 23:22:23 2020 relations with 1 large ideals: 36991 Tue Apr 7 23:22:23 2020 relations with 2 large ideals: 468294 Tue Apr 7 23:22:23 2020 relations with 3 large ideals: 2443009 Tue Apr 7 23:22:23 2020 relations with 4 large ideals: 6664441 Tue Apr 7 23:22:23 2020 relations with 5 large ideals: 10608478 Tue Apr 7 23:22:23 2020 relations with 6 large ideals: 10463115 Tue Apr 7 23:22:23 2020 relations with 7+ large ideals: 9456859 Tue Apr 7 23:22:23 2020 commencing 2-way merge Tue Apr 7 23:22:44 2020 reduce to 25554053 relation sets and 24185049 unique ideals Tue Apr 7 23:22:44 2020 commencing full merge Tue Apr 7 23:30:07 2020 memory use: 2956.6 MB Tue Apr 7 23:30:13 2020 found 11608916 cycles, need 11475249 Tue Apr 7 23:30:13 2020 weight of 11475249 cycles is about 1377489186 (120.04/cycle) Tue Apr 7 23:30:13 2020 distribution of cycle lengths: Tue Apr 7 23:30:13 2020 1 relations: 422702 Tue Apr 7 23:30:13 2020 2 relations: 660301 Tue Apr 7 23:30:13 2020 3 relations: 803526 Tue Apr 7 23:30:13 2020 4 relations: 844901 Tue Apr 7 23:30:13 2020 5 relations: 887664 Tue Apr 7 23:30:13 2020 6 relations: 887358 Tue Apr 7 23:30:13 2020 7 relations: 885475 Tue Apr 7 23:30:13 2020 8 relations: 844132 Tue Apr 7 23:30:13 2020 9 relations: 795413 Tue Apr 7 23:30:13 2020 10+ relations: 4443777 Tue Apr 7 23:30:13 2020 heaviest cycle: 28 relations Tue Apr 7 23:30:19 2020 commencing cycle optimization Tue Apr 7 23:30:44 2020 start with 98996902 relations Tue Apr 7 23:34:41 2020 pruned 4389935 relations Tue Apr 7 23:34:41 2020 memory use: 2675.6 MB Tue Apr 7 23:34:41 2020 distribution of cycle lengths: Tue Apr 7 23:34:41 2020 1 relations: 422702 Tue Apr 7 23:34:41 2020 2 relations: 678865 Tue Apr 7 23:34:41 2020 3 relations: 838522 Tue Apr 7 23:34:41 2020 4 relations: 880892 Tue Apr 7 23:34:41 2020 5 relations: 933225 Tue Apr 7 23:34:41 2020 6 relations: 932649 Tue Apr 7 23:34:41 2020 7 relations: 932644 Tue Apr 7 23:34:41 2020 8 relations: 885845 Tue Apr 7 23:34:41 2020 9 relations: 832327 Tue Apr 7 23:34:41 2020 10+ relations: 4137578 Tue Apr 7 23:34:41 2020 heaviest cycle: 27 relations Tue Apr 7 23:35:15 2020 RelProcTime: 11172 Tue Apr 7 23:35:15 2020 Tue Apr 7 23:35:15 2020 commencing linear algebra Tue Apr 7 23:35:17 2020 read 11475249 cycles Tue Apr 7 23:35:41 2020 cycles contain 39418493 unique relations Tue Apr 7 23:50:55 2020 read 39418493 relations Tue Apr 7 23:52:10 2020 using 20 quadratic characters above 4294917295 Tue Apr 7 23:54:25 2020 building initial matrix Wed Apr 8 00:01:26 2020 memory use: 5514.1 MB Wed Apr 8 00:03:43 2020 read 11475249 cycles Wed Apr 8 00:03:45 2020 matrix is 11475071 x 11475249 (5415.3 MB) with weight 1661216371 (144.77/col) Wed Apr 8 00:03:45 2020 sparse part has weight 1281890418 (111.71/col) Wed Apr 8 00:06:05 2020 filtering completed in 2 passes Wed Apr 8 00:06:07 2020 matrix is 11474533 x 11474711 (5415.3 MB) with weight 1661188286 (144.77/col) Wed Apr 8 00:06:07 2020 sparse part has weight 1281880888 (111.71/col) Wed Apr 8 00:08:41 2020 matrix starts at (0, 0) Wed Apr 8 00:08:43 2020 matrix is 11474533 x 11474711 (5415.3 MB) with weight 1661188286 (144.77/col) Wed Apr 8 00:08:43 2020 sparse part has weight 1281880888 (111.71/col) Wed Apr 8 00:08:43 2020 saving the first 48 matrix rows for later Wed Apr 8 00:08:44 2020 matrix includes 64 packed rows Wed Apr 8 00:08:46 2020 matrix is 11474485 x 11474711 (5289.6 MB) with weight 1420695116 (123.81/col) Wed Apr 8 00:08:46 2020 sparse part has weight 1271883244 (110.84/col) Wed Apr 8 00:08:46 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Wed Apr 8 00:09:52 2020 commencing Lanczos iteration (16 threads) Wed Apr 8 00:09:52 2020 memory use: 4429.4 MB Wed Apr 8 00:10:06 2020 linear algebra at 0.0%, ETA 27h14m Wed Apr 8 00:10:10 2020 checkpointing every 430000 dimensions Thu Apr 9 03:57:25 2020 lanczos halted after 181461 iterations (dim = 11474483) Thu Apr 9 03:57:37 2020 recovered 28 nontrivial dependencies Thu Apr 9 03:57:42 2020 BLanczosTime: 102147 Thu Apr 9 03:57:42 2020 Thu Apr 9 03:57:42 2020 commencing square root phase Thu Apr 9 03:57:42 2020 handling dependencies 1 to 64 Thu Apr 9 03:57:42 2020 reading relations for dependency 1 Thu Apr 9 03:57:51 2020 read 5736671 cycles Thu Apr 9 03:58:02 2020 cycles contain 19703920 unique relations Thu Apr 9 04:13:16 2020 read 19703920 relations Thu Apr 9 04:14:39 2020 multiplying 19703920 relations Thu Apr 9 04:32:57 2020 multiply complete, coefficients have about 1138.60 million bits Thu Apr 9 04:33:02 2020 initial square root is modulo 128257 Thu Apr 9 04:52:53 2020 sqrtTime: 3311 Thu Apr 9 04:52:53 2020 p60 factor: 184380093769728886800486734302232664427032898230082544209891 Thu Apr 9 04:52:53 2020 p113 factor: 69196154671250842211277304323000411953319716236043239880089513885651485707667255866718436011053644598787328234603 Thu Apr 9 04:52:53 2020 elapsed time 32:23:52
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