Sat Aug 28 10:29:03 2021 Msieve v. 1.54 (SVN 1043M) Sat Aug 28 10:29:03 2021 random seeds: c40d610a 0f9bb8b1 Sat Aug 28 10:29:03 2021 factoring 4091326612240379736728726105491740885918735984342388723524400021070344957919527829820073041195127384188896031063095143062201402025271630771997993343188936557 (157 digits) Sat Aug 28 10:29:04 2021 searching for 15-digit factors Sat Aug 28 10:29:04 2021 commencing number field sieve (157-digit input) Sat Aug 28 10:29:04 2021 R0: -2755820842901753054927139544580 Sat Aug 28 10:29:04 2021 R1: 127858332904995637 Sat Aug 28 10:29:04 2021 A0: 102400944407133575636376005220130688541 Sat Aug 28 10:29:04 2021 A1: 13239248639612212403898592215939 Sat Aug 28 10:29:04 2021 A2: -55475112904356995633188585 Sat Aug 28 10:29:04 2021 A3: -21932822697504431875 Sat Aug 28 10:29:04 2021 A4: 901637054552 Sat Aug 28 10:29:04 2021 A5: 25740 Sat Aug 28 10:29:04 2021 skew 8004732.92, size 2.869e-15, alpha -7.141, combined = 2.087e-12 rroots = 3 Sat Aug 28 10:29:04 2021 Sat Aug 28 10:29:04 2021 commencing relation filtering Sat Aug 28 10:29:04 2021 estimated available RAM is 15745.0 MB Sat Aug 28 10:29:04 2021 commencing duplicate removal, pass 1 Sat Aug 28 10:30:03 2021 error -5 reading relation 7204265 Sat Aug 28 10:30:29 2021 error -1 reading relation 10458095 Sat Aug 28 10:30:51 2021 error -1 reading relation 13086714 Sat Aug 28 10:31:06 2021 error -9 reading relation 14925111 Sat Aug 28 10:31:15 2021 error -9 reading relation 16017199 Sat Aug 28 10:31:31 2021 error -9 reading relation 18011243 Sat Aug 28 10:31:32 2021 error -1 reading relation 18143785 Sat Aug 28 10:31:37 2021 error -9 reading relation 18766702 Sat Aug 28 10:31:38 2021 error -9 reading relation 18909567 Sat Aug 28 10:31:59 2021 error -15 reading relation 21595642 Sat Aug 28 10:32:15 2021 error -15 reading relation 23345924 Sat Aug 28 10:32:56 2021 error -15 reading relation 28125796 Sat Aug 28 10:33:20 2021 error -15 reading relation 31022607 Sat Aug 28 10:33:42 2021 error -9 reading relation 33759169 Sat Aug 28 10:33:43 2021 error -9 reading relation 33801204 Sat Aug 28 10:34:33 2021 error -15 reading relation 39307949 Sat Aug 28 10:34:33 2021 error -1 reading relation 39307950 Sat Aug 28 10:35:00 2021 error -15 reading relation 42578510 Sat Aug 28 10:35:00 2021 error -6 reading relation 42578511 Sat Aug 28 10:35:04 2021 error -9 reading relation 43045994 Sat Aug 28 10:35:18 2021 error -15 reading relation 44824407 Sat Aug 28 10:35:27 2021 error -1 reading relation 45975982 Sat Aug 28 10:35:32 2021 error -15 reading relation 46584510 Sat Aug 28 10:35:37 2021 error -1 reading relation 47195271 Sat Aug 28 10:35:52 2021 error -1 reading relation 49180514 Sat Aug 28 10:35:56 2021 error -15 reading relation 49552634 Sat Aug 28 10:35:57 2021 error -1 reading relation 49728502 Sat Aug 28 10:35:57 2021 error -5 reading relation 49748858 Sat Aug 28 10:35:59 2021 error -15 reading relation 49895211 Sat Aug 28 10:35:59 2021 error -9 reading relation 49897922 Sat Aug 28 10:36:03 2021 error -15 reading relation 50382292 Sat Aug 28 10:36:07 2021 error -9 reading relation 50858832 Sat Aug 28 10:36:16 2021 error -15 reading relation 52098051 Sat Aug 28 10:36:19 2021 error -15 reading relation 52516469 Sat Aug 28 10:36:19 2021 error -1 reading relation 52524725 Sat Aug 28 10:36:21 2021 skipped 17 relations with composite factors Sat Aug 28 10:36:21 2021 found 10701493 hash collisions in 52672287 relations Sat Aug 28 10:36:50 2021 commencing duplicate removal, pass 2 Sat Aug 28 10:37:10 2021 found 10765865 duplicates and 41906422 unique relations Sat Aug 28 10:37:10 2021 memory use: 330.4 MB Sat Aug 28 10:37:10 2021 reading ideals above 720000 Sat Aug 28 10:37:10 2021 commencing singleton removal, initial pass Sat Aug 28 10:43:18 2021 memory use: 1378.0 MB Sat Aug 28 10:43:18 2021 reading all ideals from disk Sat Aug 28 10:43:19 2021 memory use: 1512.2 MB Sat Aug 28 10:43:23 2021 keeping 44448510 ideals with weight <= 200, target excess is 228164 Sat Aug 28 10:43:27 2021 commencing in-memory singleton removal Sat Aug 28 10:43:30 2021 begin with 41906422 relations and 44448510 unique ideals Sat Aug 28 10:44:32 2021 reduce to 20175019 relations and 19718873 ideals in 22 passes Sat Aug 28 10:44:32 2021 max relations containing the same ideal: 128 Sat Aug 28 10:44:42 2021 removing 1158052 relations and 1062314 ideals in 95738 cliques Sat Aug 28 10:44:42 2021 commencing in-memory singleton removal Sat Aug 28 10:44:44 2021 begin with 19016967 relations and 19718873 unique ideals Sat Aug 28 10:44:58 2021 reduce to 18963122 relations and 18602333 ideals in 9 passes Sat Aug 28 10:44:58 2021 max relations containing the same ideal: 123 Sat Aug 28 10:45:06 2021 removing 844563 relations and 748825 ideals in 95738 cliques Sat Aug 28 10:45:07 2021 commencing in-memory singleton removal Sat Aug 28 10:45:08 2021 begin with 18118559 relations and 18602333 unique ideals Sat Aug 28 10:45:21 2021 reduce to 18087774 relations and 17822522 ideals in 8 passes Sat Aug 28 10:45:21 2021 max relations containing the same ideal: 120 Sat Aug 28 10:45:34 2021 relations with 0 large ideals: 726 Sat Aug 28 10:45:34 2021 relations with 1 large ideals: 1602 Sat Aug 28 10:45:34 2021 relations with 2 large ideals: 25659 Sat Aug 28 10:45:34 2021 relations with 3 large ideals: 214936 Sat Aug 28 10:45:34 2021 relations with 4 large ideals: 993363 Sat Aug 28 10:45:34 2021 relations with 5 large ideals: 2733711 Sat Aug 28 10:45:34 2021 relations with 6 large ideals: 4664705 Sat Aug 28 10:45:34 2021 relations with 7+ large ideals: 9453072 Sat Aug 28 10:45:34 2021 commencing 2-way merge Sat Aug 28 10:45:47 2021 reduce to 10912227 relation sets and 10646976 unique ideals Sat Aug 28 10:45:47 2021 ignored 1 oversize relation sets Sat Aug 28 10:45:47 2021 commencing full merge Sat Aug 28 10:49:21 2021 memory use: 1270.9 MB Sat Aug 28 10:49:23 2021 found 5182459 cycles, need 5173176 Sat Aug 28 10:49:24 2021 weight of 5173176 cycles is about 465866299 (90.05/cycle) Sat Aug 28 10:49:24 2021 distribution of cycle lengths: Sat Aug 28 10:49:24 2021 1 relations: 589943 Sat Aug 28 10:49:24 2021 2 relations: 561038 Sat Aug 28 10:49:24 2021 3 relations: 548717 Sat Aug 28 10:49:24 2021 4 relations: 494096 Sat Aug 28 10:49:24 2021 5 relations: 439341 Sat Aug 28 10:49:24 2021 6 relations: 386375 Sat Aug 28 10:49:24 2021 7 relations: 331238 Sat Aug 28 10:49:24 2021 8 relations: 282596 Sat Aug 28 10:49:24 2021 9 relations: 244342 Sat Aug 28 10:49:24 2021 10+ relations: 1295490 Sat Aug 28 10:49:24 2021 heaviest cycle: 28 relations Sat Aug 28 10:49:26 2021 commencing cycle optimization Sat Aug 28 10:49:34 2021 start with 35386155 relations Sat Aug 28 10:50:34 2021 pruned 1026133 relations Sat Aug 28 10:50:34 2021 memory use: 1096.5 MB Sat Aug 28 10:50:34 2021 distribution of cycle lengths: Sat Aug 28 10:50:34 2021 1 relations: 589943 Sat Aug 28 10:50:34 2021 2 relations: 575632 Sat Aug 28 10:50:34 2021 3 relations: 571351 Sat Aug 28 10:50:34 2021 4 relations: 507740 Sat Aug 28 10:50:34 2021 5 relations: 451634 Sat Aug 28 10:50:34 2021 6 relations: 391315 Sat Aug 28 10:50:34 2021 7 relations: 334249 Sat Aug 28 10:50:34 2021 8 relations: 283100 Sat Aug 28 10:50:34 2021 9 relations: 243136 Sat Aug 28 10:50:34 2021 10+ relations: 1225076 Sat Aug 28 10:50:34 2021 heaviest cycle: 28 relations Sat Aug 28 10:50:45 2021 RelProcTime: 1301 Sat Aug 28 10:50:45 2021 elapsed time 00:21:42 Sat Aug 28 14:55:37 2021 Sat Aug 28 14:55:37 2021 Sat Aug 28 14:55:37 2021 Msieve v. 1.52 (SVN exported) Sat Aug 28 14:55:37 2021 random seeds: aeebd796 7df11c82 Sat Aug 28 14:55:37 2021 factoring 4091326612240379736728726105491740885918735984342388723524400021070344957919527829820073041195127384188896031063095143062201402025271630771997993343188936557 (157 digits) Sat Aug 28 14:55:38 2021 searching for 15-digit factors Sat Aug 28 14:55:40 2021 commencing number field sieve (157-digit input) Sat Aug 28 14:55:40 2021 R0: -2755820842901753054927139544580 Sat Aug 28 14:55:40 2021 R1: 127858332904995637 Sat Aug 28 14:55:40 2021 A0: 102400944407133575636376005220130688541 Sat Aug 28 14:55:40 2021 A1: 13239248639612212403898592215939 Sat Aug 28 14:55:40 2021 A2: -55475112904356995633188585 Sat Aug 28 14:55:40 2021 A3: -21932822697504431875 Sat Aug 28 14:55:40 2021 A4: 901637054552 Sat Aug 28 14:55:40 2021 A5: 25740 Sat Aug 28 14:55:40 2021 skew 8004732.92, size 2.869e-15, alpha -7.141, combined = 2.087e-12 rroots = 3 Sat Aug 28 14:55:40 2021 Sat Aug 28 14:55:40 2021 commencing linear algebra Sat Aug 28 14:55:40 2021 skipping matrix build Sat Aug 28 14:55:47 2021 matrix starts at (0, 0) Sat Aug 28 14:55:49 2021 matrix is 5171785 x 5171963 (1933.7 MB) with weight 601321931 (116.27/col) Sat Aug 28 14:55:49 2021 sparse part has weight 444847898 (86.01/col) Sat Aug 28 14:55:49 2021 saving the first 48 matrix rows for later Sat Aug 28 14:55:50 2021 matrix includes 64 packed rows Sat Aug 28 14:55:51 2021 matrix is 5171737 x 5171963 (1878.0 MB) with weight 497704026 (96.23/col) Sat Aug 28 14:55:51 2021 sparse part has weight 440592903 (85.19/col) Sat Aug 28 14:55:51 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Sat Aug 28 14:56:19 2021 commencing Lanczos iteration (4 threads) Sat Aug 28 14:56:19 2021 memory use: 1542.4 MB Sat Aug 28 14:56:52 2021 linear algebra at 0.0%, ETA 30h18m Sat Aug 28 14:57:02 2021 checkpointing every 180000 dimensions Sun Aug 29 12:56:24 2021 lanczos halted after 81786 iterations (dim = 5171735) Sun Aug 29 12:56:32 2021 recovered 29 nontrivial dependencies Sun Aug 29 12:56:32 2021 BLanczosTime: 79252 Sun Aug 29 12:56:32 2021 elapsed time 22:00:55 Sun Aug 29 14:36:11 2021 Sun Aug 29 14:36:11 2021 Sun Aug 29 14:36:11 2021 Msieve v. 1.54 (SVN 1043M) Sun Aug 29 14:36:11 2021 random seeds: e9484751 bfcc9ac0 Sun Aug 29 14:36:11 2021 factoring 4091326612240379736728726105491740885918735984342388723524400021070344957919527829820073041195127384188896031063095143062201402025271630771997993343188936557 (157 digits) Sun Aug 29 14:36:11 2021 searching for 15-digit factors Sun Aug 29 14:36:11 2021 commencing number field sieve (157-digit input) Sun Aug 29 14:36:11 2021 R0: -2755820842901753054927139544580 Sun Aug 29 14:36:11 2021 R1: 127858332904995637 Sun Aug 29 14:36:11 2021 A0: 102400944407133575636376005220130688541 Sun Aug 29 14:36:11 2021 A1: 13239248639612212403898592215939 Sun Aug 29 14:36:11 2021 A2: -55475112904356995633188585 Sun Aug 29 14:36:11 2021 A3: -21932822697504431875 Sun Aug 29 14:36:11 2021 A4: 901637054552 Sun Aug 29 14:36:11 2021 A5: 25740 Sun Aug 29 14:36:11 2021 skew 8004732.92, size 2.869e-15, alpha -7.141, combined = 2.087e-12 rroots = 3 Sun Aug 29 14:36:11 2021 Sun Aug 29 14:36:11 2021 commencing square root phase Sun Aug 29 14:36:11 2021 reading relations for dependency 1 Sun Aug 29 14:36:26 2021 read 2587635 cycles Sun Aug 29 14:36:30 2021 cycles contain 8905786 unique relations Sun Aug 29 14:46:25 2021 read 8905786 relations Sun Aug 29 14:47:09 2021 multiplying 8905786 relations Sun Aug 29 14:56:00 2021 multiply complete, coefficients have about 461.59 million bits Sun Aug 29 14:56:03 2021 initial square root is modulo 191579107 Sun Aug 29 15:07:28 2021 GCD is 1, no factor found Sun Aug 29 15:07:28 2021 reading relations for dependency 2 Sun Aug 29 15:07:28 2021 read 2587984 cycles Sun Aug 29 15:07:32 2021 cycles contain 8897650 unique relations Sun Aug 29 15:08:19 2021 read 8897650 relations Sun Aug 29 15:09:05 2021 multiplying 8897650 relations Sun Aug 29 15:18:29 2021 multiply complete, coefficients have about 461.16 million bits Sun Aug 29 15:18:31 2021 initial square root is modulo 188263921 Sun Aug 29 15:29:24 2021 GCD is 1, no factor found Sun Aug 29 15:29:24 2021 reading relations for dependency 3 Sun Aug 29 15:29:24 2021 read 2586580 cycles Sun Aug 29 15:29:29 2021 cycles contain 8896204 unique relations Sun Aug 29 15:30:26 2021 read 8896204 relations Sun Aug 29 15:31:15 2021 multiplying 8896204 relations Sun Aug 29 15:40:07 2021 multiply complete, coefficients have about 461.10 million bits Sun Aug 29 15:40:10 2021 initial square root is modulo 187730539 Sun Aug 29 15:50:40 2021 sqrtTime: 4469 Sun Aug 29 15:50:40 2021 p50 factor: 41345961212042601575080889310189987834991622449117 Sun Aug 29 15:50:40 2021 p107 factor: 98953476767852296091847971277350146672240407356442447319361393765296047090446880535286730505334114894810321 Sun Aug 29 15:50:40 2021 elapsed time 01:14:29