Wed Dec 24 08:29:26 2025
Wed Dec 24 08:29:26 2025
Wed Dec 24 08:29:26 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 24 08:29:26 2025  random seeds: d1427b8b d88ebfb9
Wed Dec 24 08:29:26 2025  Using 8 OpenMP threads
Wed Dec 24 08:29:26 2025  factoring 53305013972149772657674309240077842719063894612847421621681589299323438153799333138321567096650890904833310047751300506084097231732727711058922068904422463651166362807401031 (173 digits)
Wed Dec 24 08:29:26 2025  searching for 15-digit factors
Wed Dec 24 08:29:26 2025  commencing number field sieve (173-digit input)
Wed Dec 24 08:29:26 2025  R0: -5212032173154702371804697627764728
Wed Dec 24 08:29:26 2025  R1: 1287474537625654427909
Wed Dec 24 08:29:26 2025  A0: -306603734644304486765477659902290415306957
Wed Dec 24 08:29:26 2025  A1: 41147606917899995429106789093190177
Wed Dec 24 08:29:26 2025  A2: 5420468888718300528803541797
Wed Dec 24 08:29:26 2025  A3: -137271243986335459257
Wed Dec 24 08:29:26 2025  A4: -3954267777420
Wed Dec 24 08:29:26 2025  A5: 13860
Wed Dec 24 08:29:26 2025  skew 1.00, size 9.550e-17, alpha -6.959, combined = 9.350e-16 rroots = 5
Wed Dec 24 08:29:26 2025
Wed Dec 24 08:29:26 2025  commencing relation filtering
Wed Dec 24 08:29:26 2025  estimated available RAM is 78540.1 MB
Wed Dec 24 08:29:26 2025  commencing duplicate removal, pass 1
Wed Dec 24 08:29:59 2025  error -1 reading relation 13274527
Wed Dec 24 08:30:07 2025  error -1 reading relation 16781249
Wed Dec 24 08:30:17 2025  error -1 reading relation 21671581
Wed Dec 24 08:32:15 2025  error -1 reading relation 72852262
Wed Dec 24 08:33:36 2025  error -1 reading relation 109202846
Wed Dec 24 08:34:29 2025  error -1 reading relation 132327975
Wed Dec 24 08:35:20 2025  error -1 reading relation 154419649
Wed Dec 24 08:36:05 2025  error -1 reading relation 172176668
Wed Dec 24 08:36:10 2025  error -1 reading relation 174317633
Wed Dec 24 08:36:14 2025  error -1 reading relation 176057047
Wed Dec 24 08:36:21 2025  error -1 reading relation 178952207
Wed Dec 24 08:36:28 2025  error -1 reading relation 181707990
Wed Dec 24 08:36:42 2025  error -1 reading relation 188676129
Wed Dec 24 08:36:43 2025  error -1 reading relation 189109920
Wed Dec 24 08:36:45 2025  error -1 reading relation 190053924
Wed Dec 24 08:36:48 2025  error -1 reading relation 190985664
Wed Dec 24 08:36:58 2025  error -1 reading relation 195567183
Wed Dec 24 08:37:05 2025  error -1 reading relation 198554916
Wed Dec 24 08:37:11 2025  error -1 reading relation 200719674
Wed Dec 24 08:37:51 2025  error -1 reading relation 216370673
Wed Dec 24 08:37:55 2025  error -1 reading relation 217778989
Wed Dec 24 08:37:56 2025  error -1 reading relation 218125275
Wed Dec 24 08:37:56 2025  error -1 reading relation 218780043
Wed Dec 24 08:38:00 2025  error -1 reading relation 219814040
Wed Dec 24 08:38:17 2025  error -1 reading relation 225271569
Wed Dec 24 08:38:39 2025  error -1 reading relation 233844739
Wed Dec 24 08:38:40 2025  error -1 reading relation 233963802
Wed Dec 24 08:38:47 2025  error -1 reading relation 236576443
Wed Dec 24 08:38:47 2025  error -1 reading relation 236724383
Wed Dec 24 08:38:55 2025  error -15 reading relation 240373896
Wed Dec 24 08:38:56 2025  error -1 reading relation 240514422
Wed Dec 24 08:39:51 2025  error -1 reading relation 263810678
Wed Dec 24 08:39:51 2025  error -1 reading relation 263883494
Wed Dec 24 08:40:36 2025  error -1 reading relation 282663168
Wed Dec 24 08:40:37 2025  error -1 reading relation 282925335
Wed Dec 24 08:40:52 2025  error -1 reading relation 289644116
Wed Dec 24 08:41:14 2025  error -1 reading relation 299083854
Wed Dec 24 08:41:47 2025  error -1 reading relation 313022659
Wed Dec 24 08:41:48 2025  error -1 reading relation 313143749
Wed Dec 24 08:41:56 2025  error -1 reading relation 316700914
Wed Dec 24 08:42:33 2025  error -1 reading relation 331569121
Wed Dec 24 08:42:34 2025  error -1 reading relation 332050549
Wed Dec 24 08:42:44 2025  error -1 reading relation 337470297
Wed Dec 24 08:42:45 2025  error -1 reading relation 337825419
Wed Dec 24 08:42:47 2025  error -1 reading relation 338831396
Wed Dec 24 08:42:49 2025  error -1 reading relation 339548772
Wed Dec 24 08:42:54 2025  error -1 reading relation 341694611
Wed Dec 24 08:42:58 2025  skipped 3 relations with composite factors
Wed Dec 24 08:42:58 2025  skipped 375 malformed relations
Wed Dec 24 08:42:58 2025  found 84601273 hash collisions in 343195761 relations
Wed Dec 24 08:43:13 2025  added 121828 free relations
Wed Dec 24 08:43:13 2025  commencing duplicate removal, pass 2
Wed Dec 24 08:46:11 2025  found 97611165 duplicates and 245706424 unique relations
Wed Dec 24 08:46:11 2025  memory use: 2643.0 MB
Wed Dec 24 08:46:11 2025  reading ideals above 151977984
Wed Dec 24 08:46:11 2025  commencing singleton removal, initial pass
Wed Dec 24 08:58:40 2025  memory use: 5512.0 MB
Wed Dec 24 08:58:41 2025  reading all ideals from disk
Wed Dec 24 08:58:43 2025  memory use: 6386.9 MB
Wed Dec 24 08:58:54 2025  commencing in-memory singleton removal
Wed Dec 24 08:58:57 2025  begin with 245706424 relations and 213009688 unique ideals
Wed Dec 24 08:59:23 2025  reduce to 150160988 relations and 107717167 ideals in 15 passes
Wed Dec 24 08:59:23 2025  max relations containing the same ideal: 44
Wed Dec 24 08:59:27 2025  reading ideals above 720000
Wed Dec 24 08:59:28 2025  commencing singleton removal, initial pass
Wed Dec 24 09:11:25 2025  memory use: 3012.0 MB
Wed Dec 24 09:11:26 2025  reading all ideals from disk
Wed Dec 24 09:11:30 2025  memory use: 7039.9 MB
Wed Dec 24 09:11:41 2025  keeping 124074378 ideals with weight <= 200, target excess is 741797
Wed Dec 24 09:12:00 2025  commencing in-memory singleton removal
Wed Dec 24 09:12:03 2025  begin with 150160988 relations and 124074378 unique ideals
Wed Dec 24 09:12:26 2025  reduce to 150151358 relations and 124064748 ideals in 9 passes
Wed Dec 24 09:12:26 2025  max relations containing the same ideal: 200
Wed Dec 24 09:13:31 2025  removing 11793951 relations and 9793951 ideals in 2000000 cliques
Wed Dec 24 09:13:33 2025  commencing in-memory singleton removal
Wed Dec 24 09:13:36 2025  begin with 138357407 relations and 124064748 unique ideals
Wed Dec 24 09:13:58 2025  reduce to 137599306 relations and 113499388 ideals in 8 passes
Wed Dec 24 09:13:58 2025  max relations containing the same ideal: 197
Wed Dec 24 09:14:57 2025  removing 9002592 relations and 7002592 ideals in 2000000 cliques
Wed Dec 24 09:15:01 2025  commencing in-memory singleton removal
Wed Dec 24 09:15:01 2025  begin with 128596714 relations and 113499388 unique ideals
Wed Dec 24 09:15:22 2025  reduce to 128099262 relations and 105991534 ideals in 8 passes
Wed Dec 24 09:15:22 2025  max relations containing the same ideal: 192
Wed Dec 24 09:16:18 2025  removing 8154829 relations and 6154829 ideals in 2000000 cliques
Wed Dec 24 09:16:22 2025  commencing in-memory singleton removal
Wed Dec 24 09:16:24 2025  begin with 119944433 relations and 105991534 unique ideals
Wed Dec 24 09:16:41 2025  reduce to 119502906 relations and 99388485 ideals in 8 passes
Wed Dec 24 09:16:41 2025  max relations containing the same ideal: 185
Wed Dec 24 09:17:35 2025  removing 7724782 relations and 5724782 ideals in 2000000 cliques
Wed Dec 24 09:17:38 2025  commencing in-memory singleton removal
Wed Dec 24 09:17:40 2025  begin with 111778124 relations and 99388485 unique ideals
Wed Dec 24 09:17:58 2025  reduce to 111358973 relations and 93237845 ideals in 8 passes
Wed Dec 24 09:17:58 2025  max relations containing the same ideal: 180
Wed Dec 24 09:18:47 2025  removing 7466075 relations and 5466075 ideals in 2000000 cliques
Wed Dec 24 09:18:50 2025  commencing in-memory singleton removal
Wed Dec 24 09:18:52 2025  begin with 103892898 relations and 93237845 unique ideals
Wed Dec 24 09:19:04 2025  reduce to 103476774 relations and 87348815 ideals in 7 passes
Wed Dec 24 09:19:04 2025  max relations containing the same ideal: 168
Wed Dec 24 09:19:54 2025  removing 7305141 relations and 5305141 ideals in 2000000 cliques
Wed Dec 24 09:19:57 2025  commencing in-memory singleton removal
Wed Dec 24 09:19:59 2025  begin with 96171633 relations and 87348815 unique ideals
Wed Dec 24 09:20:16 2025  reduce to 95748877 relations and 81613541 ideals in 9 passes
Wed Dec 24 09:20:16 2025  max relations containing the same ideal: 159
Wed Dec 24 09:21:05 2025  removing 7206426 relations and 5206426 ideals in 2000000 cliques
Wed Dec 24 09:21:08 2025  commencing in-memory singleton removal
Wed Dec 24 09:21:10 2025  begin with 88542451 relations and 81613541 unique ideals
Wed Dec 24 09:21:23 2025  reduce to 88104283 relations and 75960744 ideals in 7 passes
Wed Dec 24 09:21:23 2025  max relations containing the same ideal: 150
Wed Dec 24 09:22:02 2025  removing 7152724 relations and 5152724 ideals in 2000000 cliques
Wed Dec 24 09:22:05 2025  commencing in-memory singleton removal
Wed Dec 24 09:22:06 2025  begin with 80951559 relations and 75960744 unique ideals
Wed Dec 24 09:22:17 2025  reduce to 80485593 relations and 70332646 ideals in 7 passes
Wed Dec 24 09:22:17 2025  max relations containing the same ideal: 142
Wed Dec 24 09:22:55 2025  removing 7141325 relations and 5141325 ideals in 2000000 cliques
Wed Dec 24 09:22:58 2025  commencing in-memory singleton removal
Wed Dec 24 09:22:59 2025  begin with 73344268 relations and 70332646 unique ideals
Wed Dec 24 09:23:09 2025  reduce to 72841215 relations and 64677278 ideals in 7 passes
Wed Dec 24 09:23:09 2025  max relations containing the same ideal: 135
Wed Dec 24 09:23:42 2025  removing 7161241 relations and 5161241 ideals in 2000000 cliques
Wed Dec 24 09:23:44 2025  commencing in-memory singleton removal
Wed Dec 24 09:23:46 2025  begin with 65679974 relations and 64677278 unique ideals
Wed Dec 24 09:23:55 2025  reduce to 65119384 relations and 58942055 ideals in 8 passes
Wed Dec 24 09:23:55 2025  max relations containing the same ideal: 123
Wed Dec 24 09:24:26 2025  removing 7217348 relations and 5217348 ideals in 2000000 cliques
Wed Dec 24 09:24:29 2025  commencing in-memory singleton removal
Wed Dec 24 09:24:30 2025  begin with 57902036 relations and 58942055 unique ideals
Wed Dec 24 09:24:39 2025  reduce to 57264457 relations and 53070179 ideals in 8 passes
Wed Dec 24 09:24:39 2025  max relations containing the same ideal: 113
Wed Dec 24 09:25:08 2025  removing 7317008 relations and 5317008 ideals in 2000000 cliques
Wed Dec 24 09:25:11 2025  commencing in-memory singleton removal
Wed Dec 24 09:25:11 2025  begin with 49947449 relations and 53070179 unique ideals
Wed Dec 24 09:25:16 2025  reduce to 49199136 relations and 46982284 ideals in 8 passes
Wed Dec 24 09:25:16 2025  max relations containing the same ideal: 102
Wed Dec 24 09:25:40 2025  removing 5504531 relations and 4148164 ideals in 1356367 cliques
Wed Dec 24 09:25:42 2025  commencing in-memory singleton removal
Wed Dec 24 09:25:42 2025  begin with 43694605 relations and 46982284 unique ideals
Wed Dec 24 09:25:49 2025  reduce to 43211117 relations and 42339237 ideals in 8 passes
Wed Dec 24 09:25:49 2025  max relations containing the same ideal: 97
Wed Dec 24 09:26:11 2025  removing 98730 relations and 87335 ideals in 11395 cliques
Wed Dec 24 09:26:12 2025  commencing in-memory singleton removal
Wed Dec 24 09:26:13 2025  begin with 43112387 relations and 42339237 unique ideals
Wed Dec 24 09:26:17 2025  reduce to 43112271 relations and 42251786 ideals in 5 passes
Wed Dec 24 09:26:17 2025  max relations containing the same ideal: 97
Wed Dec 24 09:26:22 2025  relations with 0 large ideals: 2546
Wed Dec 24 09:26:22 2025  relations with 1 large ideals: 10884
Wed Dec 24 09:26:22 2025  relations with 2 large ideals: 169847
Wed Dec 24 09:26:22 2025  relations with 3 large ideals: 1144656
Wed Dec 24 09:26:22 2025  relations with 4 large ideals: 4141828
Wed Dec 24 09:26:22 2025  relations with 5 large ideals: 8904993
Wed Dec 24 09:26:22 2025  relations with 6 large ideals: 11945974
Wed Dec 24 09:26:22 2025  relations with 7+ large ideals: 16791543
Wed Dec 24 09:26:22 2025  commencing 2-way merge
Wed Dec 24 09:26:50 2025  reduce to 27195301 relation sets and 26334816 unique ideals
Wed Dec 24 09:26:50 2025  commencing full merge
Wed Dec 24 09:36:18 2025  memory use: 3118.4 MB
Wed Dec 24 09:36:23 2025  found 13384198 cycles, need 13273016
Wed Dec 24 09:36:28 2025  weight of 13273016 cycles is about 1194863114 (90.02/cycle)
Wed Dec 24 09:36:28 2025  distribution of cycle lengths:
Wed Dec 24 09:36:28 2025  1 relations: 1220736
Wed Dec 24 09:36:28 2025  2 relations: 1269607
Wed Dec 24 09:36:28 2025  3 relations: 1312103
Wed Dec 24 09:36:28 2025  4 relations: 1260279
Wed Dec 24 09:36:28 2025  5 relations: 1214680
Wed Dec 24 09:36:28 2025  6 relations: 1150261
Wed Dec 24 09:36:28 2025  7 relations: 1056310
Wed Dec 24 09:36:28 2025  8 relations: 939735
Wed Dec 24 09:36:28 2025  9 relations: 819969
Wed Dec 24 09:36:28 2025  10+ relations: 3029336
Wed Dec 24 09:36:28 2025  heaviest cycle: 24 relations
Wed Dec 24 09:36:33 2025  commencing cycle optimization
Wed Dec 24 09:37:03 2025  start with 86533651 relations
Wed Dec 24 09:39:56 2025  pruned 2735520 relations
Wed Dec 24 09:39:58 2025  memory use: 2662.2 MB
Wed Dec 24 09:39:58 2025  distribution of cycle lengths:
Wed Dec 24 09:39:58 2025  1 relations: 1220736
Wed Dec 24 09:39:58 2025  2 relations: 1300720
Wed Dec 24 09:39:58 2025  3 relations: 1362718
Wed Dec 24 09:39:58 2025  4 relations: 1300468
Wed Dec 24 09:39:58 2025  5 relations: 1258598
Wed Dec 24 09:39:58 2025  6 relations: 1184654
Wed Dec 24 09:39:58 2025  7 relations: 1086118
Wed Dec 24 09:39:58 2025  8 relations: 958052
Wed Dec 24 09:39:58 2025  9 relations: 827023
Wed Dec 24 09:39:58 2025  10+ relations: 2773929
Wed Dec 24 09:39:58 2025  heaviest cycle: 24 relations
Wed Dec 24 09:40:26 2025  RelProcTime: 4260
Wed Dec 24 09:40:27 2025
Wed Dec 24 09:40:27 2025  commencing linear algebra
Wed Dec 24 09:40:27 2025  using VBITS=256
Wed Dec 24 09:40:28 2025  read 13273016 cycles
Wed Dec 24 09:40:48 2025  cycles contain 42552467 unique relations
Wed Dec 24 09:42:03 2025  read 42552467 relations
Wed Dec 24 09:42:20 2025  using 20 quadratic characters above 4294917295
Wed Dec 24 09:42:44 2025  building initial matrix
Wed Dec 24 09:52:03 2025  memory use: 5837.4 MB
Wed Dec 24 09:52:08 2025  read 13273016 cycles
Wed Dec 24 09:52:10 2025  matrix is 13272837 x 13273016 (4961.4 MB) with weight 1525419408 (114.93/col)
Wed Dec 24 09:52:10 2025  sparse part has weight 1141316041 (85.99/col)
Wed Dec 24 09:54:09 2025  filtering completed in 2 passes
Wed Dec 24 09:54:12 2025  matrix is 13270474 x 13270653 (4961.2 MB) with weight 1525322926 (114.94/col)
Wed Dec 24 09:54:12 2025  sparse part has weight 1141289380 (86.00/col)
Wed Dec 24 09:54:56 2025  matrix starts at (0, 0)
Wed Dec 24 09:54:57 2025  matrix is 13270474 x 13270653 (4961.2 MB) with weight 1525322926 (114.94/col)
Wed Dec 24 09:54:57 2025  sparse part has weight 1141289380 (86.00/col)
Wed Dec 24 09:54:57 2025  saving the first 240 matrix rows for later
Wed Dec 24 09:54:57 2025  matrix includes 256 packed rows
Wed Dec 24 09:55:00 2025  matrix is 13270234 x 13270653 (4525.1 MB) with weight 1039594123 (78.34/col)
Wed Dec 24 09:55:00 2025  sparse part has weight 973887323 (73.39/col)
Wed Dec 24 09:55:01 2025  using GPU 0 (NVIDIA GeForce RTX 5070)
Wed Dec 24 09:55:01 2025  selected card has CUDA arch 12.0
Wed Dec 24 09:56:23 2025  commencing Lanczos iteration
Wed Dec 24 09:56:27 2025  memory use: 10771.3 MB
Wed Dec 24 09:57:04 2025  linear algebra at 0.2%, ETA 4h12m
Wed Dec 24 09:57:58 2025  checking every 50000 dimensions, checkpointing every 3150000 dimensions
Wed Dec 24 15:29:07 2025  lanczos halted after 51994 iterations (dim = 13270234)
Wed Dec 24 15:29:55 2025  recovered 33 nontrivial dependencies
Wed Dec 24 15:29:57 2025  BLanczosTime: 20970
Wed Dec 24 15:29:57 2025
Wed Dec 24 15:29:57 2025  commencing square root phase
Wed Dec 24 15:29:57 2025  reading relations for dependency 1
Wed Dec 24 15:30:28 2025  read 6637214 cycles
Wed Dec 24 15:30:40 2025  cycles contain 21279632 unique relations
Wed Dec 24 15:35:59 2025  read 21279632 relations
Wed Dec 24 15:37:41 2025  multiplying 21279632 relations
Wed Dec 24 15:40:23 2025  multiply complete, coefficients have about 1134.21 million bits
Wed Dec 24 15:40:27 2025  initial square root is modulo 122557
Wed Dec 24 15:47:15 2025  sqrtTime: 1038
Wed Dec 24 15:47:15 2025  p72 factor: 175277672155057855839682328508790470531976725041168055331245270503262859
Wed Dec 24 15:47:15 2025  p102 factor: 304117537144114735987952479619684745432122115786338617416325817801962650058680780758153365312778326709
Wed Dec 24 15:47:15 2025  elapsed time 07:17:49