Sat Apr 25 23:35:10 2026 Sat Apr 25 23:35:10 2026 Sat Apr 25 23:35:10 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 25 23:35:10 2026 random seeds: b63f3088 43d1c98b Sat Apr 25 23:35:10 2026 factoring 372097818213957000951066667380668453877769871001451901469265655024915620195432357582592723734346275814421249314662446259275936468864882561394523188082753331541 (159 digits) Sat Apr 25 23:35:10 2026 no P-1/P+1/ECM available, skipping Sat Apr 25 23:35:10 2026 commencing number field sieve (159-digit input) Sat Apr 25 23:35:10 2026 R0: -5461865642998362081359289568062 Sat Apr 25 23:35:10 2026 R1: 250522480290590317680719 Sat Apr 25 23:35:10 2026 A0: -623376586777771865213170010229927636 Sat Apr 25 23:35:10 2026 A1: 6355342418626757122855763724741 Sat Apr 25 23:35:10 2026 A2: -4793670709897155114557578 Sat Apr 25 23:35:10 2026 A3: -1228910702417549821 Sat Apr 25 23:35:10 2026 A4: 11317404234294 Sat Apr 25 23:35:10 2026 A5: 861840 Sat Apr 25 23:35:10 2026 skew 950441.99, size 2.335e-15, alpha -7.513, combined = 1.922e-12 rroots = 3 Sat Apr 25 23:35:10 2026 Sat Apr 25 23:35:10 2026 commencing relation filtering Sat Apr 25 23:35:10 2026 setting target matrix density to 84.0 Sat Apr 25 23:35:10 2026 estimated available RAM is 128742.2 MB Sat Apr 25 23:35:10 2026 commencing duplicate removal, pass 1 Sat Apr 25 23:35:10 2026 error -1 reading relation 0 [...] Sun Apr 26 00:07:54 2026 error -1 reading relation 169501939 Sun Apr 26 00:07:54 2026 found 6361015 hash collisions in 169561745 relations Sun Apr 26 00:08:36 2026 added 122213 free relations Sun Apr 26 00:08:36 2026 commencing duplicate removal, pass 2 Sun Apr 26 00:09:49 2026 found 0 duplicates and 169683958 unique relations Sun Apr 26 00:09:49 2026 memory use: 522.4 MB Sun Apr 26 00:09:49 2026 reading ideals above 720000 Sun Apr 26 00:09:49 2026 commencing singleton removal, initial pass Sun Apr 26 00:47:03 2026 memory use: 5512.0 MB Sun Apr 26 00:47:03 2026 reading all ideals from disk Sun Apr 26 00:47:10 2026 memory use: 7495.9 MB Sun Apr 26 00:47:39 2026 keeping 177873936 ideals with weight <= 200, target excess is 1038570 Sun Apr 26 00:48:16 2026 commencing in-memory singleton removal Sun Apr 26 00:48:58 2026 begin with 169683958 relations and 177873936 unique ideals Sun Apr 26 00:51:55 2026 reduce to 63406676 relations and 54505174 ideals in 19 passes Sun Apr 26 00:51:55 2026 max relations containing the same ideal: 107 Sun Apr 26 00:52:48 2026 removing 7693656 relations and 6693656 ideals in 1000000 cliques Sun Apr 26 00:52:52 2026 commencing in-memory singleton removal Sun Apr 26 00:53:05 2026 begin with 55713020 relations and 54505174 unique ideals Sun Apr 26 00:53:57 2026 reduce to 55016560 relations and 47100418 ideals in 10 passes Sun Apr 26 00:53:57 2026 max relations containing the same ideal: 96 Sun Apr 26 00:54:42 2026 removing 5686791 relations and 4686791 ideals in 1000000 cliques Sun Apr 26 00:54:46 2026 commencing in-memory singleton removal Sun Apr 26 00:54:57 2026 begin with 49329769 relations and 47100418 unique ideals Sun Apr 26 00:55:38 2026 reduce to 48876658 relations and 41951971 ideals in 9 passes Sun Apr 26 00:55:38 2026 max relations containing the same ideal: 91 Sun Apr 26 00:56:18 2026 removing 5062059 relations and 4062059 ideals in 1000000 cliques Sun Apr 26 00:56:21 2026 commencing in-memory singleton removal Sun Apr 26 00:56:31 2026 begin with 43814599 relations and 41951971 unique ideals Sun Apr 26 00:57:07 2026 reduce to 43407582 relations and 37474979 ideals in 9 passes Sun Apr 26 00:57:07 2026 max relations containing the same ideal: 84 Sun Apr 26 00:57:42 2026 removing 4734560 relations and 3734560 ideals in 1000000 cliques Sun Apr 26 00:57:45 2026 commencing in-memory singleton removal Sun Apr 26 00:57:54 2026 begin with 38673022 relations and 37474979 unique ideals Sun Apr 26 00:58:25 2026 reduce to 38275698 relations and 33334730 ideals in 9 passes Sun Apr 26 00:58:25 2026 max relations containing the same ideal: 78 Sun Apr 26 00:58:56 2026 removing 4536209 relations and 3536209 ideals in 1000000 cliques Sun Apr 26 00:58:59 2026 commencing in-memory singleton removal Sun Apr 26 00:59:06 2026 begin with 33739489 relations and 33334730 unique ideals Sun Apr 26 00:59:31 2026 reduce to 33327547 relations and 29377119 ideals in 8 passes Sun Apr 26 00:59:31 2026 max relations containing the same ideal: 71 Sun Apr 26 00:59:58 2026 removing 4405057 relations and 3405057 ideals in 1000000 cliques Sun Apr 26 01:00:01 2026 commencing in-memory singleton removal Sun Apr 26 01:00:07 2026 begin with 28922490 relations and 29377119 unique ideals Sun Apr 26 01:00:30 2026 reduce to 28478326 relations and 25516212 ideals in 9 passes Sun Apr 26 01:00:30 2026 max relations containing the same ideal: 62 Sun Apr 26 01:00:53 2026 removing 4330216 relations and 3330216 ideals in 1000000 cliques Sun Apr 26 01:00:55 2026 commencing in-memory singleton removal Sun Apr 26 01:01:01 2026 begin with 24148110 relations and 25516212 unique ideals Sun Apr 26 01:01:19 2026 reduce to 23644588 relations and 21667190 ideals in 9 passes Sun Apr 26 01:01:19 2026 max relations containing the same ideal: 55 Sun Apr 26 01:01:39 2026 removing 3520916 relations and 2748260 ideals in 772656 cliques Sun Apr 26 01:01:40 2026 commencing in-memory singleton removal Sun Apr 26 01:01:45 2026 begin with 20123672 relations and 21667190 unique ideals Sun Apr 26 01:02:02 2026 reduce to 19728779 relations and 18512888 ideals in 10 passes Sun Apr 26 01:02:02 2026 max relations containing the same ideal: 49 Sun Apr 26 01:02:18 2026 removing 108167 relations and 97018 ideals in 11149 cliques Sun Apr 26 01:02:19 2026 commencing in-memory singleton removal Sun Apr 26 01:02:23 2026 begin with 19620612 relations and 18512888 unique ideals Sun Apr 26 01:02:33 2026 reduce to 19620300 relations and 18415558 ideals in 6 passes Sun Apr 26 01:02:33 2026 max relations containing the same ideal: 49 Sun Apr 26 01:02:37 2026 relations with 0 large ideals: 7829 Sun Apr 26 01:02:37 2026 relations with 1 large ideals: 101317 Sun Apr 26 01:02:37 2026 relations with 2 large ideals: 714284 Sun Apr 26 01:02:37 2026 relations with 3 large ideals: 2558344 Sun Apr 26 01:02:37 2026 relations with 4 large ideals: 5020167 Sun Apr 26 01:02:37 2026 relations with 5 large ideals: 5639911 Sun Apr 26 01:02:37 2026 relations with 6 large ideals: 3735315 Sun Apr 26 01:02:37 2026 relations with 7+ large ideals: 1843133 Sun Apr 26 01:02:37 2026 commencing 2-way merge Sun Apr 26 01:02:59 2026 reduce to 11135675 relation sets and 9930932 unique ideals Sun Apr 26 01:02:59 2026 commencing full merge Sun Apr 26 01:06:23 2026 memory use: 1135.9 MB Sun Apr 26 01:06:25 2026 found 5561641 cycles, need 5399132 Sun Apr 26 01:06:28 2026 weight of 5399132 cycles is about 453728400 (84.04/cycle) Sun Apr 26 01:06:28 2026 distribution of cycle lengths: Sun Apr 26 01:06:28 2026 1 relations: 569415 Sun Apr 26 01:06:28 2026 2 relations: 509941 Sun Apr 26 01:06:28 2026 3 relations: 521747 Sun Apr 26 01:06:28 2026 4 relations: 507382 Sun Apr 26 01:06:28 2026 5 relations: 489019 Sun Apr 26 01:06:28 2026 6 relations: 463934 Sun Apr 26 01:06:28 2026 7 relations: 425895 Sun Apr 26 01:06:28 2026 8 relations: 381284 Sun Apr 26 01:06:28 2026 9 relations: 335562 Sun Apr 26 01:06:28 2026 10+ relations: 1194953 Sun Apr 26 01:06:28 2026 heaviest cycle: 19 relations Sun Apr 26 01:06:31 2026 commencing cycle optimization Sun Apr 26 01:06:45 2026 start with 34166204 relations Sun Apr 26 01:07:52 2026 pruned 850986 relations Sun Apr 26 01:07:53 2026 memory use: 1125.1 MB Sun Apr 26 01:07:53 2026 distribution of cycle lengths: Sun Apr 26 01:07:53 2026 1 relations: 569415 Sun Apr 26 01:07:53 2026 2 relations: 521095 Sun Apr 26 01:07:53 2026 3 relations: 539042 Sun Apr 26 01:07:53 2026 4 relations: 520926 Sun Apr 26 01:07:53 2026 5 relations: 503839 Sun Apr 26 01:07:53 2026 6 relations: 474775 Sun Apr 26 01:07:53 2026 7 relations: 435835 Sun Apr 26 01:07:53 2026 8 relations: 387600 Sun Apr 26 01:07:53 2026 9 relations: 338281 Sun Apr 26 01:07:53 2026 10+ relations: 1108324 Sun Apr 26 01:07:53 2026 heaviest cycle: 19 relations Sun Apr 26 01:08:05 2026 RelProcTime: 5575 Sun Apr 26 01:08:06 2026 Sun Apr 26 01:08:06 2026 commencing linear algebra Sun Apr 26 01:08:06 2026 using VBITS=128 Sun Apr 26 01:08:07 2026 read 5399132 cycles Sun Apr 26 01:08:21 2026 cycles contain 18717501 unique relations Sun Apr 26 01:10:56 2026 read 18717501 relations Sun Apr 26 01:11:26 2026 using 20 quadratic characters above 4294917295 Sun Apr 26 01:13:32 2026 building initial matrix Sun Apr 26 01:18:41 2026 memory use: 2556.8 MB Sun Apr 26 01:18:45 2026 read 5399132 cycles Sun Apr 26 01:18:47 2026 matrix is 5398934 x 5399132 (1908.3 MB) with weight 594812504 (110.17/col) Sun Apr 26 01:18:47 2026 sparse part has weight 435458237 (80.65/col) Sun Apr 26 01:20:11 2026 filtering completed in 2 passes Sun Apr 26 01:20:12 2026 matrix is 5393199 x 5393396 (1907.6 MB) with weight 594538261 (110.23/col) Sun Apr 26 01:20:12 2026 sparse part has weight 435356085 (80.72/col) Sun Apr 26 01:20:45 2026 matrix starts at (0, 0) Sun Apr 26 01:20:46 2026 matrix is 5393199 x 5393396 (1907.6 MB) with weight 594538261 (110.23/col) Sun Apr 26 01:20:46 2026 sparse part has weight 435356085 (80.72/col) Sun Apr 26 01:20:46 2026 saving the first 112 matrix rows for later Sun Apr 26 01:20:48 2026 matrix includes 128 packed rows Sun Apr 26 01:20:50 2026 matrix is 5393087 x 5393396 (1759.0 MB) with weight 430585759 (79.84/col) Sun Apr 26 01:20:50 2026 sparse part has weight 396385123 (73.49/col) Sun Apr 26 01:20:50 2026 using GPU 0 (Tesla P100-PCIE-16GB) Sun Apr 26 01:20:50 2026 selected card has CUDA arch 6.0 Sun Apr 26 01:21:59 2026 commencing Lanczos iteration Sun Apr 26 01:22:00 2026 memory use: 3723.7 MB Sun Apr 26 01:22:52 2026 linear algebra at 0.6%, ETA 2h32m Sun Apr 26 01:23:05 2026 checking every 30000 dimensions, checkpointing every 2130000 dimensions Sun Apr 26 03:53:31 2026 lanczos halted after 42388 iterations (dim = 5393085) Sun Apr 26 03:53:47 2026 recovered 29 nontrivial dependencies Sun Apr 26 03:53:48 2026 BLanczosTime: 9942 Sun Apr 26 03:53:48 2026 Sun Apr 26 03:53:48 2026 commencing square root phase Sun Apr 26 03:53:48 2026 handling dependencies 1 to 64 Sun Apr 26 03:53:48 2026 reading relations for dependency 1 Sun Apr 26 03:53:50 2026 read 2696589 cycles Sun Apr 26 03:53:58 2026 cycles contain 9361258 unique relations Sun Apr 26 03:55:38 2026 read 9361258 relations Sun Apr 26 03:56:49 2026 multiplying 9361258 relations Sun Apr 26 04:14:12 2026 multiply complete, coefficients have about 528.55 million bits Sun Apr 26 04:14:18 2026 initial square root is modulo 55331 Sun Apr 26 04:32:20 2026 sqrtTime: 2312 Sun Apr 26 04:32:20 2026 p78 factor: 638670774643309749140176762616681088383903942961652395516861812609146435324847 Sun Apr 26 04:32:20 2026 p81 factor: 582612878163666303061116947115688413738286171928901849157465569634723495909331003 Sun Apr 26 04:32:20 2026 elapsed time 04:57:10 Fri May 29 19:22:34 2026 Fri May 29 19:22:34 2026 Fri May 29 19:22:34 2026 Msieve v. 1.54 (SVN unknown) Fri May 29 19:22:34 2026 random seeds: d1d1ab68 3792d739 Fri May 29 19:22:34 2026 factoring 381095799221285108778813750149287774420097953341106295547073095083591489108396204573767007040375415152307012890790620976848976647830312595053319675277332638382264265425810597669463 (180 digits) Fri May 29 19:22:36 2026 no P-1/P+1/ECM available, skipping Fri May 29 19:22:36 2026 commencing number field sieve (180-digit input) Fri May 29 19:22:36 2026 R0: 29996086015020249926094966108492170 Fri May 29 19:22:36 2026 R1: 4107951219260483445363828373 Fri May 29 19:22:36 2026 A0: 199207162255689208933377778592897858319356 Fri May 29 19:22:36 2026 A1: 13527738783710125546611508873278869 Fri May 29 19:22:36 2026 A2: -48445228368032039841442499078 Fri May 29 19:22:36 2026 A3: -2524808865408045317849 Fri May 29 19:22:36 2026 A4: 1295809167998022 Fri May 29 19:22:36 2026 A5: 11060280 Fri May 29 19:22:36 2026 skew 5053975.29, size 1.629e-17, alpha -7.466, combined = 9.689e-14 rroots = 5 Fri May 29 19:22:36 2026 Fri May 29 19:22:36 2026 commencing relation filtering Fri May 29 19:22:36 2026 setting target matrix density to 86.0 Fri May 29 19:22:36 2026 estimated available RAM is 128742.2 MB Fri May 29 19:22:36 2026 commencing duplicate removal, pass 1 Fri May 29 19:26:28 2026 error -15 reading relation 13874105 Fri May 29 21:22:03 2026 skipped 4 malformed relations Fri May 29 21:22:03 2026 found 26843004 hash collisions in 498708271 relations Fri May 29 21:22:36 2026 added 121846 free relations Fri May 29 21:22:36 2026 commencing duplicate removal, pass 2 Fri May 29 21:24:56 2026 found 0 duplicates and 498830117 unique relations Fri May 29 21:24:56 2026 memory use: 1705.5 MB Fri May 29 21:24:56 2026 reading ideals above 720000 Fri May 29 21:24:56 2026 commencing singleton removal, initial pass Fri May 29 23:48:40 2026 memory use: 11024.0 MB Fri May 29 23:48:41 2026 reading all ideals from disk Fri May 29 23:51:49 2026 memory use: 24255.1 MB Fri May 29 23:54:02 2026 keeping 452825830 ideals with weight <= 200, target excess is 2674877 Fri May 29 23:56:34 2026 commencing in-memory singleton removal Fri May 29 23:59:18 2026 begin with 498830117 relations and 452825830 unique ideals Sat May 30 00:09:25 2026 reduce to 301738270 relations and 234354269 ideals in 14 passes Sat May 30 00:09:25 2026 max relations containing the same ideal: 153 Sat May 30 00:13:55 2026 removing 12886756 relations and 10886756 ideals in 2000000 cliques Sat May 30 00:14:07 2026 commencing in-memory singleton removal Sat May 30 00:15:31 2026 begin with 288851514 relations and 234354269 unique ideals Sat May 30 00:19:15 2026 reduce to 288461555 relations and 223074184 ideals in 7 passes Sat May 30 00:19:15 2026 max relations containing the same ideal: 147 Sat May 30 00:23:29 2026 removing 9758654 relations and 7758654 ideals in 2000000 cliques Sat May 30 00:23:41 2026 commencing in-memory singleton removal Sat May 30 00:25:00 2026 begin with 278702901 relations and 223074184 unique ideals Sat May 30 00:28:33 2026 reduce to 278448600 relations and 215059262 ideals in 7 passes Sat May 30 00:28:33 2026 max relations containing the same ideal: 144 Sat May 30 00:32:35 2026 removing 8774850 relations and 6774850 ideals in 2000000 cliques Sat May 30 00:32:46 2026 commencing in-memory singleton removal Sat May 30 00:34:02 2026 begin with 269673750 relations and 215059262 unique ideals Sat May 30 00:37:28 2026 reduce to 269455010 relations and 208064056 ideals in 7 passes Sat May 30 00:37:28 2026 max relations containing the same ideal: 141 Sat May 30 00:41:23 2026 removing 8216935 relations and 6216935 ideals in 2000000 cliques Sat May 30 00:41:34 2026 commencing in-memory singleton removal Sat May 30 00:42:48 2026 begin with 261238075 relations and 208064056 unique ideals Sat May 30 00:46:06 2026 reduce to 261037392 relations and 201645037 ideals in 7 passes Sat May 30 00:46:06 2026 max relations containing the same ideal: 137 Sat May 30 00:49:51 2026 removing 7847223 relations and 5847223 ideals in 2000000 cliques Sat May 30 00:50:02 2026 commencing in-memory singleton removal Sat May 30 00:51:12 2026 begin with 253190169 relations and 201645037 unique ideals Sat May 30 00:54:22 2026 reduce to 253000491 relations and 195606762 ideals in 7 passes Sat May 30 00:54:22 2026 max relations containing the same ideal: 134 Sat May 30 00:58:07 2026 removing 7581589 relations and 5581589 ideals in 2000000 cliques Sat May 30 00:58:18 2026 commencing in-memory singleton removal Sat May 30 00:59:27 2026 begin with 245418902 relations and 195606762 unique ideals Sat May 30 01:03:03 2026 reduce to 245234473 relations and 189839348 ideals in 8 passes Sat May 30 01:03:03 2026 max relations containing the same ideal: 132 Sat May 30 01:06:41 2026 removing 7390089 relations and 5390089 ideals in 2000000 cliques Sat May 30 01:06:52 2026 commencing in-memory singleton removal Sat May 30 01:07:59 2026 begin with 237844384 relations and 189839348 unique ideals Sat May 30 01:10:36 2026 reduce to 237664554 relations and 184267930 ideals in 6 passes Sat May 30 01:10:36 2026 max relations containing the same ideal: 129 Sat May 30 01:14:07 2026 removing 7233904 relations and 5233904 ideals in 2000000 cliques Sat May 30 01:14:17 2026 commencing in-memory singleton removal Sat May 30 01:15:21 2026 begin with 230430650 relations and 184267930 unique ideals Sat May 30 01:17:53 2026 reduce to 230253537 relations and 178855429 ideals in 6 passes Sat May 30 01:17:53 2026 max relations containing the same ideal: 126 Sat May 30 01:21:15 2026 removing 7107857 relations and 5107857 ideals in 2000000 cliques Sat May 30 01:21:25 2026 commencing in-memory singleton removal Sat May 30 01:22:26 2026 begin with 223145680 relations and 178855429 unique ideals Sat May 30 01:24:53 2026 reduce to 222970187 relations and 173570589 ideals in 6 passes Sat May 30 01:24:53 2026 max relations containing the same ideal: 124 Sat May 30 01:28:09 2026 removing 7013394 relations and 5013394 ideals in 2000000 cliques Sat May 30 01:28:18 2026 commencing in-memory singleton removal Sat May 30 01:29:17 2026 begin with 215956793 relations and 173570589 unique ideals Sat May 30 01:31:38 2026 reduce to 215780307 relations and 168379142 ideals in 6 passes Sat May 30 01:31:38 2026 max relations containing the same ideal: 123 Sat May 30 01:34:48 2026 removing 6928921 relations and 4928921 ideals in 2000000 cliques Sat May 30 01:34:57 2026 commencing in-memory singleton removal Sat May 30 01:35:55 2026 begin with 208851386 relations and 168379142 unique ideals Sat May 30 01:38:34 2026 reduce to 208675211 relations and 163272372 ideals in 7 passes Sat May 30 01:38:34 2026 max relations containing the same ideal: 120 Sat May 30 01:41:40 2026 removing 6858070 relations and 4858070 ideals in 2000000 cliques Sat May 30 01:41:49 2026 commencing in-memory singleton removal Sat May 30 01:42:44 2026 begin with 201817141 relations and 163272372 unique ideals Sat May 30 01:44:56 2026 reduce to 201639143 relations and 158234598 ideals in 6 passes Sat May 30 01:44:56 2026 max relations containing the same ideal: 118 Sat May 30 01:47:54 2026 removing 6809417 relations and 4809417 ideals in 2000000 cliques Sat May 30 01:48:02 2026 commencing in-memory singleton removal Sat May 30 01:48:55 2026 begin with 194829726 relations and 158234598 unique ideals Sat May 30 01:51:01 2026 reduce to 194648728 relations and 153242409 ideals in 6 passes Sat May 30 01:51:01 2026 max relations containing the same ideal: 118 Sat May 30 01:53:49 2026 removing 6761936 relations and 4761936 ideals in 2000000 cliques Sat May 30 01:53:58 2026 commencing in-memory singleton removal Sat May 30 01:54:47 2026 begin with 187886792 relations and 153242409 unique ideals Sat May 30 01:56:45 2026 reduce to 187700912 relations and 148292632 ideals in 6 passes Sat May 30 01:56:45 2026 max relations containing the same ideal: 118 Sat May 30 01:59:26 2026 removing 6732291 relations and 4732291 ideals in 2000000 cliques Sat May 30 01:59:34 2026 commencing in-memory singleton removal Sat May 30 02:00:21 2026 begin with 180968621 relations and 148292632 unique ideals Sat May 30 02:02:34 2026 reduce to 180779241 relations and 143368958 ideals in 7 passes Sat May 30 02:02:34 2026 max relations containing the same ideal: 115 Sat May 30 02:05:08 2026 removing 6704229 relations and 4704229 ideals in 2000000 cliques Sat May 30 02:05:16 2026 commencing in-memory singleton removal Sat May 30 02:06:01 2026 begin with 174075012 relations and 143368958 unique ideals Sat May 30 02:07:50 2026 reduce to 173880307 relations and 138467844 ideals in 6 passes Sat May 30 02:07:50 2026 max relations containing the same ideal: 113 Sat May 30 02:10:17 2026 removing 6687840 relations and 4687840 ideals in 2000000 cliques Sat May 30 02:10:25 2026 commencing in-memory singleton removal Sat May 30 02:11:08 2026 begin with 167192467 relations and 138467844 unique ideals Sat May 30 02:13:09 2026 reduce to 166993077 relations and 133578279 ideals in 7 passes Sat May 30 02:13:09 2026 max relations containing the same ideal: 108 Sat May 30 02:15:31 2026 removing 6673146 relations and 4673146 ideals in 2000000 cliques Sat May 30 02:15:38 2026 commencing in-memory singleton removal Sat May 30 02:16:19 2026 begin with 160319931 relations and 133578279 unique ideals Sat May 30 02:17:58 2026 reduce to 160113969 relations and 128696592 ideals in 6 passes Sat May 30 02:17:58 2026 max relations containing the same ideal: 104 Sat May 30 02:20:16 2026 removing 6671236 relations and 4671236 ideals in 2000000 cliques Sat May 30 02:20:23 2026 commencing in-memory singleton removal Sat May 30 02:21:02 2026 begin with 153442733 relations and 128696592 unique ideals Sat May 30 02:22:37 2026 reduce to 153226459 relations and 123806437 ideals in 6 passes Sat May 30 02:22:37 2026 max relations containing the same ideal: 102 Sat May 30 02:24:48 2026 removing 6671963 relations and 4671963 ideals in 2000000 cliques Sat May 30 02:24:55 2026 commencing in-memory singleton removal Sat May 30 02:25:32 2026 begin with 146554496 relations and 123806437 unique ideals Sat May 30 02:27:17 2026 reduce to 146330520 relations and 118907576 ideals in 7 passes Sat May 30 02:27:17 2026 max relations containing the same ideal: 100 Sat May 30 02:29:22 2026 removing 6684020 relations and 4684020 ideals in 2000000 cliques Sat May 30 02:29:28 2026 commencing in-memory singleton removal Sat May 30 02:30:04 2026 begin with 139646500 relations and 118907576 unique ideals Sat May 30 02:31:30 2026 reduce to 139412371 relations and 113986270 ideals in 6 passes Sat May 30 02:31:30 2026 max relations containing the same ideal: 95 Sat May 30 02:33:32 2026 removing 6703026 relations and 4703026 ideals in 2000000 cliques Sat May 30 02:33:38 2026 commencing in-memory singleton removal Sat May 30 02:34:12 2026 begin with 132709345 relations and 113986270 unique ideals Sat May 30 02:35:36 2026 reduce to 132464147 relations and 109034518 ideals in 6 passes Sat May 30 02:35:36 2026 max relations containing the same ideal: 89 Sat May 30 02:37:32 2026 removing 6724901 relations and 4724901 ideals in 2000000 cliques Sat May 30 02:37:38 2026 commencing in-memory singleton removal Sat May 30 02:38:10 2026 begin with 125739246 relations and 109034518 unique ideals Sat May 30 02:39:41 2026 reduce to 125478057 relations and 104044676 ideals in 7 passes Sat May 30 02:39:41 2026 max relations containing the same ideal: 84 Sat May 30 02:41:30 2026 removing 6757283 relations and 4757283 ideals in 2000000 cliques Sat May 30 02:41:36 2026 commencing in-memory singleton removal Sat May 30 02:42:06 2026 begin with 118720774 relations and 104044676 unique ideals Sat May 30 02:43:32 2026 reduce to 118443494 relations and 99005861 ideals in 7 passes Sat May 30 02:43:32 2026 max relations containing the same ideal: 82 Sat May 30 02:45:16 2026 removing 6802803 relations and 4802803 ideals in 2000000 cliques Sat May 30 02:45:22 2026 commencing in-memory singleton removal Sat May 30 02:45:49 2026 begin with 111640691 relations and 99005861 unique ideals Sat May 30 02:47:21 2026 reduce to 111342183 relations and 93899563 ideals in 8 passes Sat May 30 02:47:21 2026 max relations containing the same ideal: 79 Sat May 30 02:48:58 2026 removing 6860726 relations and 4860726 ideals in 2000000 cliques Sat May 30 02:49:04 2026 commencing in-memory singleton removal Sat May 30 02:49:30 2026 begin with 104481457 relations and 93899563 unique ideals Sat May 30 02:50:44 2026 reduce to 104159527 relations and 88711466 ideals in 7 passes Sat May 30 02:50:44 2026 max relations containing the same ideal: 75 Sat May 30 02:52:16 2026 removing 6929463 relations and 4929463 ideals in 2000000 cliques Sat May 30 02:52:21 2026 commencing in-memory singleton removal Sat May 30 02:52:45 2026 begin with 97230064 relations and 88711466 unique ideals Sat May 30 02:53:54 2026 reduce to 96877619 relations and 83423321 ideals in 7 passes Sat May 30 02:53:54 2026 max relations containing the same ideal: 73 Sat May 30 02:55:19 2026 removing 7013708 relations and 5013708 ideals in 2000000 cliques Sat May 30 02:55:24 2026 commencing in-memory singleton removal Sat May 30 02:55:46 2026 begin with 89863911 relations and 83423321 unique ideals Sat May 30 02:56:58 2026 reduce to 89474880 relations and 78013344 ideals in 8 passes Sat May 30 02:56:58 2026 max relations containing the same ideal: 69 Sat May 30 02:58:16 2026 removing 7118663 relations and 5118663 ideals in 2000000 cliques Sat May 30 02:58:21 2026 commencing in-memory singleton removal Sat May 30 02:58:41 2026 begin with 82356217 relations and 78013344 unique ideals Sat May 30 02:59:38 2026 reduce to 81920097 relations and 72449835 ideals in 7 passes Sat May 30 02:59:38 2026 max relations containing the same ideal: 67 Sat May 30 03:00:49 2026 removing 7251305 relations and 5251305 ideals in 2000000 cliques Sat May 30 03:00:54 2026 commencing in-memory singleton removal Sat May 30 03:01:12 2026 begin with 74668792 relations and 72449835 unique ideals Sat May 30 03:02:11 2026 reduce to 74169597 relations and 66688827 ideals in 8 passes Sat May 30 03:02:11 2026 max relations containing the same ideal: 61 Sat May 30 03:03:16 2026 removing 7409685 relations and 5409685 ideals in 2000000 cliques Sat May 30 03:03:21 2026 commencing in-memory singleton removal Sat May 30 03:03:37 2026 begin with 66759912 relations and 66688827 unique ideals Sat May 30 03:04:29 2026 reduce to 66176028 relations and 60681941 ideals in 8 passes Sat May 30 03:04:29 2026 max relations containing the same ideal: 58 Sat May 30 03:05:27 2026 removing 7619921 relations and 5619921 ideals in 2000000 cliques Sat May 30 03:05:32 2026 commencing in-memory singleton removal Sat May 30 03:05:46 2026 begin with 58556107 relations and 60681941 unique ideals Sat May 30 03:06:31 2026 reduce to 57850605 relations and 54338289 ideals in 8 passes Sat May 30 03:06:31 2026 max relations containing the same ideal: 52 Sat May 30 03:07:22 2026 removing 2204952 relations and 1795494 ideals in 409458 cliques Sat May 30 03:07:25 2026 commencing in-memory singleton removal Sat May 30 03:07:38 2026 begin with 55645653 relations and 54338289 unique ideals Sat May 30 03:08:16 2026 reduce to 55586006 relations and 52482761 ideals in 7 passes Sat May 30 03:08:16 2026 max relations containing the same ideal: 52 Sat May 30 03:09:14 2026 relations with 0 large ideals: 13770 Sat May 30 03:09:14 2026 relations with 1 large ideals: 162545 Sat May 30 03:09:14 2026 relations with 2 large ideals: 1435255 Sat May 30 03:09:14 2026 relations with 3 large ideals: 5782432 Sat May 30 03:09:14 2026 relations with 4 large ideals: 12577500 Sat May 30 03:09:14 2026 relations with 5 large ideals: 15943534 Sat May 30 03:09:14 2026 relations with 6 large ideals: 12222698 Sat May 30 03:09:14 2026 relations with 7+ large ideals: 7448272 Sat May 30 03:09:14 2026 commencing 2-way merge Sat May 30 03:10:21 2026 reduce to 33572568 relation sets and 30469323 unique ideals Sat May 30 03:10:21 2026 commencing full merge Sat May 30 03:21:31 2026 memory use: 3466.4 MB Sat May 30 03:21:37 2026 found 16927550 cycles, need 16501523 Sat May 30 03:21:46 2026 weight of 16501523 cycles is about 1419349290 (86.01/cycle) Sat May 30 03:21:46 2026 distribution of cycle lengths: Sat May 30 03:21:46 2026 1 relations: 1718429 Sat May 30 03:21:46 2026 2 relations: 1556151 Sat May 30 03:21:46 2026 3 relations: 1628889 Sat May 30 03:21:46 2026 4 relations: 1639159 Sat May 30 03:21:46 2026 5 relations: 1612428 Sat May 30 03:21:46 2026 6 relations: 1539519 Sat May 30 03:21:46 2026 7 relations: 1415202 Sat May 30 03:21:46 2026 8 relations: 1256269 Sat May 30 03:21:46 2026 9 relations: 1071301 Sat May 30 03:21:46 2026 10+ relations: 3064176 Sat May 30 03:21:46 2026 heaviest cycle: 18 relations Sat May 30 03:21:55 2026 commencing cycle optimization Sat May 30 03:22:44 2026 start with 99302132 relations Sat May 30 03:26:07 2026 pruned 2690192 relations Sat May 30 03:26:09 2026 memory use: 3251.7 MB Sat May 30 03:26:09 2026 distribution of cycle lengths: Sat May 30 03:26:09 2026 1 relations: 1718429 Sat May 30 03:26:09 2026 2 relations: 1593397 Sat May 30 03:26:09 2026 3 relations: 1687975 Sat May 30 03:26:09 2026 4 relations: 1689269 Sat May 30 03:26:09 2026 5 relations: 1669383 Sat May 30 03:26:09 2026 6 relations: 1584849 Sat May 30 03:26:09 2026 7 relations: 1454172 Sat May 30 03:26:09 2026 8 relations: 1276026 Sat May 30 03:26:09 2026 9 relations: 1073835 Sat May 30 03:26:09 2026 10+ relations: 2754188 Sat May 30 03:26:09 2026 heaviest cycle: 18 relations Sat May 30 03:26:52 2026 RelProcTime: 29056 Sat May 30 03:26:52 2026 elapsed time 08:04:18 Sat May 30 17:18:51 2026 Sat May 30 17:18:51 2026 Sat May 30 17:18:51 2026 Msieve v. 1.54 (SVN unknown) Sat May 30 17:18:51 2026 random seeds: 44cc4b4e 23f13451 Sat May 30 17:18:51 2026 factoring 381095799221285108778813750149287774420097953341106295547073095083591489108396204573767007040375415152307012890790620976848976647830312595053319675277332638382264265425810597669463 (180 digits) Sat May 30 17:18:52 2026 no P-1/P+1/ECM available, skipping Sat May 30 17:18:52 2026 commencing number field sieve (180-digit input) Sat May 30 17:18:52 2026 R0: 29996086015020249926094966108492170 Sat May 30 17:18:52 2026 R1: 4107951219260483445363828373 Sat May 30 17:18:52 2026 A0: 199207162255689208933377778592897858319356 Sat May 30 17:18:52 2026 A1: 13527738783710125546611508873278869 Sat May 30 17:18:52 2026 A2: -48445228368032039841442499078 Sat May 30 17:18:52 2026 A3: -2524808865408045317849 Sat May 30 17:18:52 2026 A4: 1295809167998022 Sat May 30 17:18:52 2026 A5: 11060280 Sat May 30 17:18:52 2026 skew 5053975.29, size 1.629e-17, alpha -7.466, combined = 9.689e-14 rroots = 5 Sat May 30 17:18:52 2026 Sat May 30 17:18:52 2026 commencing linear algebra Sat May 30 17:18:52 2026 using VBITS=128 Sat May 30 17:18:56 2026 read 16501523 cycles Sat May 30 17:19:41 2026 cycles contain 53782033 unique relations Sat May 30 17:32:08 2026 read 53782033 relations Sat May 30 17:33:57 2026 using 20 quadratic characters above 4294917295 Sat May 30 17:39:22 2026 building initial matrix Sat May 30 17:52:51 2026 memory use: 7276.7 MB Sat May 30 17:53:35 2026 read 16501523 cycles Sat May 30 17:53:39 2026 matrix is 16501335 x 16501523 (5943.9 MB) with weight 1832615552 (111.06/col) Sat May 30 17:53:39 2026 sparse part has weight 1360145276 (82.43/col) Sat May 30 17:57:31 2026 filtering completed in 2 passes Sat May 30 17:57:34 2026 matrix is 16492254 x 16492441 (5943.1 MB) with weight 1832251875 (111.10/col) Sat May 30 17:57:34 2026 sparse part has weight 1360032970 (82.46/col) Sat May 30 17:59:15 2026 matrix starts at (0, 0) Sat May 30 17:59:19 2026 matrix is 16492254 x 16492441 (5943.1 MB) with weight 1832251875 (111.10/col) Sat May 30 17:59:19 2026 sparse part has weight 1360032970 (82.46/col) Sat May 30 17:59:19 2026 saving the first 112 matrix rows for later Sat May 30 17:59:24 2026 matrix includes 128 packed rows Sat May 30 17:59:30 2026 matrix is 16492142 x 16492441 (5512.0 MB) with weight 1342407584 (81.40/col) Sat May 30 17:59:30 2026 sparse part has weight 1247021099 (75.61/col) Sat May 30 17:59:31 2026 using GPU 0 (Tesla P100-PCIE-16GB) Sat May 30 17:59:31 2026 selected card has CUDA arch 6.0 Sat May 30 18:03:43 2026 commencing Lanczos iteration Sat May 30 18:03:44 2026 memory use: 11653.1 MB Sat May 30 18:05:46 2026 linear algebra at 0.2%, ETA 18h 7m Sat May 30 18:06:17 2026 checking every 10000 dimensions, checkpointing every 920000 dimensions Sun May 31 12:11:33 2026 lanczos halted after 129623 iterations (dim = 16492140) Sun May 31 12:12:20 2026 recovered 26 nontrivial dependencies Sun May 31 12:12:20 2026 BLanczosTime: 68008 Sun May 31 12:12:20 2026 Sun May 31 12:12:20 2026 commencing square root phase Sun May 31 12:12:20 2026 reading relations for dependency 1 Sun May 31 12:12:29 2026 read 8248061 cycles Sun May 31 12:12:53 2026 cycles contain 26887446 unique relations Sun May 31 12:21:53 2026 read 26887446 relations Sun May 31 12:25:32 2026 multiplying 26887446 relations Sun May 31 13:17:55 2026 multiply complete, coefficients have about 1725.48 million bits Sun May 31 13:18:10 2026 initial square root is modulo 54957043 Sun May 31 13:58:44 2026 GCD is 1, no factor found Sun May 31 13:58:44 2026 reading relations for dependency 2 Sun May 31 13:58:50 2026 read 8249673 cycles Sun May 31 13:59:05 2026 cycles contain 26895260 unique relations Sun May 31 14:05:42 2026 read 26895260 relations Sun May 31 14:09:29 2026 multiplying 26895260 relations Sun May 31 14:54:01 2026 multiply complete, coefficients have about 1725.97 million bits Sun May 31 14:54:22 2026 initial square root is modulo 55237759 Sun May 31 15:43:43 2026 sqrtTime: 12683 Sun May 31 15:43:43 2026 p88 factor: 1653814857114090881968990863871398154977984499288336780087086706485169909467381401832269 Sun May 31 15:43:43 2026 p93 factor: 230434378783062684305948046550853059294475864489539188872903591660040777605169617026938507827 Sun May 31 15:43:43 2026 elapsed time 22:24:52