Wed Dec 17 13:50:17 2025
Wed Dec 17 13:50:17 2025
Wed Dec 17 13:50:17 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 17 13:50:17 2025  random seeds: 7b52def7 68e29906
Wed Dec 17 13:50:17 2025  Using 8 OpenMP threads
Wed Dec 17 13:50:17 2025  factoring 7016267753839166682320586512547775655265321400883172390112534025953447081394641746516648619668026642843499701907633815381019078499458502694282084367362515644855517 (163 digits)
Wed Dec 17 13:50:17 2025  searching for 15-digit factors
Wed Dec 17 13:50:18 2025  commencing number field sieve (163-digit input)
Wed Dec 17 13:50:18 2025  R0: -55067880841568162619174401162080
Wed Dec 17 13:50:18 2025  R1: 381893458878095075809
Wed Dec 17 13:50:18 2025  A0: 282392755224064920534068272734164679066
Wed Dec 17 13:50:18 2025  A1: 82146516900300276954207892641305
Wed Dec 17 13:50:18 2025  A2: -2230998296913848607874676
Wed Dec 17 13:50:18 2025  A3: -2656159336114207357
Wed Dec 17 13:50:18 2025  A4: -1370149938138
Wed Dec 17 13:50:18 2025  A5: 27720
Wed Dec 17 13:50:18 2025  skew 1.00, size 9.975e-16, alpha -6.975, combined = 6.602e-15 rroots = 3
Wed Dec 17 13:50:18 2025
Wed Dec 17 13:50:18 2025  commencing relation filtering
Wed Dec 17 13:50:18 2025  estimated available RAM is 78540.1 MB
Wed Dec 17 13:50:18 2025  commencing duplicate removal, pass 1
Wed Dec 17 13:52:34 2025  error -15 reading relation 52091341
Wed Dec 17 13:53:53 2025  error -1 reading relation 89289929
Wed Dec 17 13:54:27 2025  error -1 reading relation 104033945
Wed Dec 17 13:56:29 2025  error -1 reading relation 160297763
Wed Dec 17 13:56:34 2025  error -1 reading relation 162458379
Wed Dec 17 13:56:40 2025  error -1 reading relation 165570770
Wed Dec 17 13:57:43 2025  error -1 reading relation 196885609
Wed Dec 17 13:57:45 2025  error -1 reading relation 197813122
Wed Dec 17 13:57:52 2025  skipped 1 relations with b > 2^32
Wed Dec 17 13:57:52 2025  skipped 2 relations with composite factors
Wed Dec 17 13:57:52 2025  skipped 81 malformed relations
Wed Dec 17 13:57:52 2025  found 32508269 hash collisions in 201858991 relations
Wed Dec 17 13:58:11 2025  added 121760 free relations
Wed Dec 17 13:58:11 2025  commencing duplicate removal, pass 2
Wed Dec 17 13:59:38 2025  found 29706147 duplicates and 172274604 unique relations
Wed Dec 17 13:59:38 2025  memory use: 852.8 MB
Wed Dec 17 13:59:38 2025  reading ideals above 720000
Wed Dec 17 13:59:38 2025  commencing singleton removal, initial pass
Wed Dec 17 14:08:11 2025  memory use: 3012.0 MB
Wed Dec 17 14:08:11 2025  reading all ideals from disk
Wed Dec 17 14:08:15 2025  memory use: 7778.3 MB
Wed Dec 17 14:08:22 2025  keeping 158480648 ideals with weight <= 200, target excess is 894781
Wed Dec 17 14:08:34 2025  commencing in-memory singleton removal
Wed Dec 17 14:08:36 2025  begin with 172274604 relations and 158480648 unique ideals
Wed Dec 17 14:08:52 2025  reduce to 99495703 relations and 77081037 ideals in 14 passes
Wed Dec 17 14:08:52 2025  max relations containing the same ideal: 146
Wed Dec 17 14:09:19 2025  removing 10307440 relations and 8307440 ideals in 2000000 cliques
Wed Dec 17 14:09:21 2025  commencing in-memory singleton removal
Wed Dec 17 14:09:23 2025  begin with 89188263 relations and 77081037 unique ideals
Wed Dec 17 14:09:31 2025  reduce to 88408808 relations and 67974431 ideals in 9 passes
Wed Dec 17 14:09:31 2025  max relations containing the same ideal: 134
Wed Dec 17 14:09:54 2025  removing 7825532 relations and 5825532 ideals in 2000000 cliques
Wed Dec 17 14:09:56 2025  commencing in-memory singleton removal
Wed Dec 17 14:09:57 2025  begin with 80583276 relations and 67974431 unique ideals
Wed Dec 17 14:10:04 2025  reduce to 80053645 relations and 61607340 ideals in 8 passes
Wed Dec 17 14:10:04 2025  max relations containing the same ideal: 126
Wed Dec 17 14:10:24 2025  removing 7112973 relations and 5112973 ideals in 2000000 cliques
Wed Dec 17 14:10:26 2025  commencing in-memory singleton removal
Wed Dec 17 14:10:27 2025  begin with 72940672 relations and 61607340 unique ideals
Wed Dec 17 14:10:32 2025  reduce to 72469146 relations and 56011873 ideals in 7 passes
Wed Dec 17 14:10:32 2025  max relations containing the same ideal: 119
Wed Dec 17 14:10:52 2025  removing 6751949 relations and 4751949 ideals in 2000000 cliques
Wed Dec 17 14:10:54 2025  commencing in-memory singleton removal
Wed Dec 17 14:10:55 2025  begin with 65717197 relations and 56011873 unique ideals
Wed Dec 17 14:10:59 2025  reduce to 65268410 relations and 50799912 ideals in 7 passes
Wed Dec 17 14:10:59 2025  max relations containing the same ideal: 112
Wed Dec 17 14:11:17 2025  removing 6527832 relations and 4527832 ideals in 2000000 cliques
Wed Dec 17 14:11:19 2025  commencing in-memory singleton removal
Wed Dec 17 14:11:20 2025  begin with 58740578 relations and 50799912 unique ideals
Wed Dec 17 14:11:24 2025  reduce to 58292565 relations and 45812019 ideals in 7 passes
Wed Dec 17 14:11:24 2025  max relations containing the same ideal: 107
Wed Dec 17 14:11:42 2025  removing 6377094 relations and 4377094 ideals in 2000000 cliques
Wed Dec 17 14:11:44 2025  commencing in-memory singleton removal
Wed Dec 17 14:11:44 2025  begin with 51915471 relations and 45812019 unique ideals
Wed Dec 17 14:11:46 2025  reduce to 51453552 relations and 40959010 ideals in 7 passes
Wed Dec 17 14:11:46 2025  max relations containing the same ideal: 101
Wed Dec 17 14:12:03 2025  removing 6268729 relations and 4268729 ideals in 2000000 cliques
Wed Dec 17 14:12:04 2025  commencing in-memory singleton removal
Wed Dec 17 14:12:05 2025  begin with 45184823 relations and 40959010 unique ideals
Wed Dec 17 14:12:08 2025  reduce to 44693183 relations and 36181985 ideals in 7 passes
Wed Dec 17 14:12:08 2025  max relations containing the same ideal: 92
Wed Dec 17 14:12:20 2025  removing 6204323 relations and 4204323 ideals in 2000000 cliques
Wed Dec 17 14:12:21 2025  commencing in-memory singleton removal
Wed Dec 17 14:12:22 2025  begin with 38488860 relations and 36181985 unique ideals
Wed Dec 17 14:12:25 2025  reduce to 37951712 relations and 31419819 ideals in 8 passes
Wed Dec 17 14:12:25 2025  max relations containing the same ideal: 81
Wed Dec 17 14:12:37 2025  removing 6158518 relations and 4158518 ideals in 2000000 cliques
Wed Dec 17 14:12:39 2025  commencing in-memory singleton removal
Wed Dec 17 14:12:39 2025  begin with 31793194 relations and 31419819 unique ideals
Wed Dec 17 14:12:42 2025  reduce to 31182444 relations and 26623152 ideals in 8 passes
Wed Dec 17 14:12:42 2025  max relations containing the same ideal: 72
Wed Dec 17 14:12:50 2025  removing 6130311 relations and 4130311 ideals in 2000000 cliques
Wed Dec 17 14:12:51 2025  commencing in-memory singleton removal
Wed Dec 17 14:12:51 2025  begin with 25052133 relations and 26623152 unique ideals
Wed Dec 17 14:12:53 2025  reduce to 24331862 relations and 21732944 ideals in 8 passes
Wed Dec 17 14:12:53 2025  max relations containing the same ideal: 63
Wed Dec 17 14:13:01 2025  removing 4983743 relations and 3422771 ideals in 1560972 cliques
Wed Dec 17 14:13:02 2025  commencing in-memory singleton removal
Wed Dec 17 14:13:02 2025  begin with 19348119 relations and 21732944 unique ideals
Wed Dec 17 14:13:04 2025  reduce to 18721435 relations and 17648484 ideals in 9 passes
Wed Dec 17 14:13:04 2025  max relations containing the same ideal: 51
Wed Dec 17 14:13:10 2025  removing 221358 relations and 186353 ideals in 35005 cliques
Wed Dec 17 14:13:11 2025  commencing in-memory singleton removal
Wed Dec 17 14:13:11 2025  begin with 18500077 relations and 17648484 unique ideals
Wed Dec 17 14:13:11 2025  reduce to 18498481 relations and 17460529 ideals in 5 passes
Wed Dec 17 14:13:11 2025  max relations containing the same ideal: 50
Wed Dec 17 14:13:13 2025  relations with 0 large ideals: 2745
Wed Dec 17 14:13:13 2025  relations with 1 large ideals: 37404
Wed Dec 17 14:13:13 2025  relations with 2 large ideals: 413365
Wed Dec 17 14:13:13 2025  relations with 3 large ideals: 1835199
Wed Dec 17 14:13:13 2025  relations with 4 large ideals: 4145984
Wed Dec 17 14:13:13 2025  relations with 5 large ideals: 5320501
Wed Dec 17 14:13:13 2025  relations with 6 large ideals: 4131068
Wed Dec 17 14:13:13 2025  relations with 7+ large ideals: 2612215
Wed Dec 17 14:13:13 2025  commencing 2-way merge
Wed Dec 17 14:13:18 2025  reduce to 11693757 relation sets and 10655805 unique ideals
Wed Dec 17 14:13:18 2025  commencing full merge
Wed Dec 17 14:15:26 2025  memory use: 1301.9 MB
Wed Dec 17 14:15:27 2025  found 5900836 cycles, need 5760005
Wed Dec 17 14:15:29 2025  weight of 5760005 cycles is about 518920216 (90.09/cycle)
Wed Dec 17 14:15:29 2025  distribution of cycle lengths:
Wed Dec 17 14:15:29 2025  1 relations: 342075
Wed Dec 17 14:15:29 2025  2 relations: 489093
Wed Dec 17 14:15:29 2025  3 relations: 563519
Wed Dec 17 14:15:29 2025  4 relations: 581070
Wed Dec 17 14:15:29 2025  5 relations: 589899
Wed Dec 17 14:15:29 2025  6 relations: 560889
Wed Dec 17 14:15:29 2025  7 relations: 521004
Wed Dec 17 14:15:29 2025  8 relations: 459738
Wed Dec 17 14:15:29 2025  9 relations: 391288
Wed Dec 17 14:15:29 2025  10+ relations: 1261430
Wed Dec 17 14:15:29 2025  heaviest cycle: 20 relations
Wed Dec 17 14:15:31 2025  commencing cycle optimization
Wed Dec 17 14:15:39 2025  start with 37867736 relations
Wed Dec 17 14:16:20 2025  pruned 1313611 relations
Wed Dec 17 14:16:21 2025  memory use: 1148.4 MB
Wed Dec 17 14:16:21 2025  distribution of cycle lengths:
Wed Dec 17 14:16:21 2025  1 relations: 342075
Wed Dec 17 14:16:21 2025  2 relations: 501666
Wed Dec 17 14:16:21 2025  3 relations: 588439
Wed Dec 17 14:16:21 2025  4 relations: 603990
Wed Dec 17 14:16:21 2025  5 relations: 616977
Wed Dec 17 14:16:21 2025  6 relations: 583593
Wed Dec 17 14:16:21 2025  7 relations: 540715
Wed Dec 17 14:16:21 2025  8 relations: 469911
Wed Dec 17 14:16:21 2025  9 relations: 394135
Wed Dec 17 14:16:21 2025  10+ relations: 1118504
Wed Dec 17 14:16:21 2025  heaviest cycle: 19 relations
Wed Dec 17 14:16:27 2025  RelProcTime: 1569
Wed Dec 17 14:16:28 2025
Wed Dec 17 14:16:28 2025  commencing linear algebra
Wed Dec 17 14:16:28 2025  using VBITS=256
Wed Dec 17 14:16:29 2025  read 5760005 cycles
Wed Dec 17 14:16:35 2025  cycles contain 17940856 unique relations
Wed Dec 17 14:16:53 2025  read 17940856 relations
Wed Dec 17 14:16:57 2025  using 20 quadratic characters above 4294917295
Wed Dec 17 14:17:05 2025  building initial matrix
Wed Dec 17 14:19:26 2025  memory use: 2513.5 MB
Wed Dec 17 14:19:28 2025  read 5760005 cycles
Wed Dec 17 14:19:29 2025  matrix is 5759824 x 5760005 (2144.4 MB) with weight 665042769 (115.46/col)
Wed Dec 17 14:19:29 2025  sparse part has weight 493017026 (85.59/col)
Wed Dec 17 14:20:05 2025  filtering completed in 2 passes
Wed Dec 17 14:20:06 2025  matrix is 5758653 x 5758832 (2144.2 MB) with weight 664986378 (115.47/col)
Wed Dec 17 14:20:06 2025  sparse part has weight 492995868 (85.61/col)
Wed Dec 17 14:20:16 2025  matrix starts at (0, 0)
Wed Dec 17 14:20:17 2025  matrix is 5758653 x 5758832 (2144.2 MB) with weight 664986378 (115.47/col)
Wed Dec 17 14:20:17 2025  sparse part has weight 492995868 (85.61/col)
Wed Dec 17 14:20:17 2025  saving the first 240 matrix rows for later
Wed Dec 17 14:20:17 2025  matrix includes 256 packed rows
Wed Dec 17 14:20:19 2025  matrix is 5758413 x 5758832 (1950.2 MB) with weight 447910124 (77.78/col)
Wed Dec 17 14:20:19 2025  sparse part has weight 419084391 (72.77/col)
Wed Dec 17 14:20:19 2025  using GPU 0 (NVIDIA GeForce RTX 5070)
Wed Dec 17 14:20:19 2025  selected card has CUDA arch 12.0
Wed Dec 17 14:20:36 2025  commencing Lanczos iteration
Wed Dec 17 14:20:38 2025  memory use: 4647.3 MB
Wed Dec 17 14:20:50 2025  linear algebra at 0.5%, ETA 0h37m
Wed Dec 17 14:21:11 2025  checking every 130000 dimensions, checkpointing every 8450000 dimensions
Wed Dec 17 15:01:56 2025  lanczos halted after 22562 iterations (dim = 5758410)
Wed Dec 17 15:02:18 2025  recovered 28 nontrivial dependencies
Wed Dec 17 15:02:18 2025  BLanczosTime: 2750
Wed Dec 17 15:02:18 2025
Wed Dec 17 15:02:18 2025  commencing square root phase
Wed Dec 17 15:02:18 2025  reading relations for dependency 1
Wed Dec 17 15:02:19 2025  read 2880044 cycles
Wed Dec 17 15:02:22 2025  cycles contain 8972060 unique relations
Wed Dec 17 15:04:20 2025  read 8972060 relations
Wed Dec 17 15:04:42 2025  multiplying 8972060 relations
Wed Dec 17 15:05:29 2025  multiply complete, coefficients have about 471.12 million bits
Wed Dec 17 15:05:30 2025  initial square root is modulo 283997867
Wed Dec 17 15:07:09 2025  sqrtTime: 291
Wed Dec 17 15:07:09 2025  p73 factor: 6624718506088752106373041502276172468021439952553851583039967361537600699
Wed Dec 17 15:07:09 2025  p91 factor: 1059104284565531839398684091560649295541851160038881567777139951518070368007388267902752583
Wed Dec 17 15:07:09 2025  elapsed time 01:16:52