Sun Oct 25 17:39:42 2026 Sun Oct 25 17:39:42 2026 Sun Oct 25 17:39:42 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 25 17:39:42 2026 random seeds: ba77f02f 282e6e4b Sun Oct 25 17:39:42 2026 MPI process 0 of 1 Sun Oct 25 17:39:42 2026 Using 46 OpenMP threads Sun Oct 25 17:39:42 2026 factoring 378969852099339761160788277566956008523881346802837253816309265657154514159679508023490628872342214838219799800107964602072688348673360433563766314653957239934784021326667 (171 digits) Sun Oct 25 17:39:43 2026 no P-1/P+1/ECM available, skipping Sun Oct 25 17:39:43 2026 commencing number field sieve (171-digit input) Sun Oct 25 17:39:43 2026 R0: -1607737126715630184720678499335912 Sun Oct 25 17:39:43 2026 R1: 1368273740138064682459 Sun Oct 25 17:39:43 2026 A0: -82304173411595613343325234203369304980 Sun Oct 25 17:39:43 2026 A1: 318626185070391727881891986006373 Sun Oct 25 17:39:43 2026 A2: -25256695944562067140223088 Sun Oct 25 17:39:43 2026 A3: -38453089936377432757 Sun Oct 25 17:39:43 2026 A4: 336635763924 Sun Oct 25 17:39:43 2026 A5: 141120 Sun Oct 25 17:39:43 2026 skew 6459201.62, size 1.919e-16, alpha -6.018, combined = 4.460e-13 rroots = 5 Sun Oct 25 17:39:43 2026 Sun Oct 25 17:39:43 2026 commencing relation filtering Sun Oct 25 17:39:43 2026 setting target matrix density to 110.0 Sun Oct 25 17:39:43 2026 estimated available RAM is 192068.7 MB Sun Oct 25 17:43:45 2026 staged savefile to /scratch/gchilders/msieve.dat (33828.3 MB in 242 sec) Sun Oct 25 17:43:45 2026 commencing duplicate removal, pass 1 Sun Oct 25 17:45:35 2026 skipped 148 malformed relations Sun Oct 25 17:45:35 2026 found 54770354 hash collisions in 294502225 relations Sun Oct 25 17:45:35 2026 cached 294502390 relation coordinates for pass 2 (4749.7 MB) Sun Oct 25 17:46:05 2026 added 122336 free relations Sun Oct 25 17:46:05 2026 commencing duplicate removal, pass 2 Sun Oct 25 17:46:50 2026 found 50936984 duplicates and 243687577 unique relations Sun Oct 25 17:46:50 2026 memory use: 2816.0 MB Sun Oct 25 17:46:50 2026 reading ideals above 720000 Sun Oct 25 17:46:50 2026 commencing singleton removal, initial pass Sun Oct 25 17:49:25 2026 LP64 contains 243687577 relations and 234185086 unique large ideals Sun Oct 25 17:49:25 2026 memory use: 8576.0 MB Sun Oct 25 17:49:25 2026 preparing 64-bit LP file for common filtering Sun Oct 25 17:49:25 2026 start with 243687577 relations and 234185086 ideals Sun Oct 25 17:49:54 2026 compacted LP dataset has 243687577 relations and 234185086 large ideals Sun Oct 25 17:49:54 2026 reading all ideals from disk Sun Oct 25 17:49:57 2026 memory use: 11401.8 MB Sun Oct 25 17:50:02 2026 ideal weight profile: 234185086 ideals, 243687577 relations, base target excess 116068, margin 9386423 Sun Oct 25 17:50:02 2026 weight <= 10: keep 211563936, bury 22621150, target excess 22737218 Sun Oct 25 17:50:02 2026 weight <= 15: keep 218991167, bury 15193919, target excess 15309987 Sun Oct 25 17:50:02 2026 weight <= 20: keep 221679768, bury 12505318, target excess 12621386 Sun Oct 25 17:50:02 2026 weight <= 25: keep 222601507, bury 11583579, target excess 11699647 Sun Oct 25 17:50:02 2026 weight <= 30: keep 223203249, bury 10981837, target excess 11097905 Sun Oct 25 17:50:02 2026 weight <= 35: keep 223741718, bury 10443368, target excess 10559436 Sun Oct 25 17:50:02 2026 weight <= 40: keep 224189773, bury 9995313, target excess 10111381 Sun Oct 25 17:50:02 2026 weight <= 45: keep 224592006, bury 9593080, target excess 9709148 Sun Oct 25 17:50:02 2026 weight <= 100: keep 231688722, bury 2496364, target excess 2612432 Sun Oct 25 17:50:02 2026 weight <= 200: keep 233118905, bury 1066181, target excess 1182249 Sun Oct 25 17:50:03 2026 keeping 233118905 ideals with weight <= 200, target excess is 1182249 Sun Oct 25 17:50:28 2026 commencing in-memory singleton removal Sun Oct 25 17:50:32 2026 begin with 243687577 relations and 233118905 unique ideals Sun Oct 25 17:50:32 2026 memory use: 1794.6 MB Sun Oct 25 17:50:39 2026 reduce to 137780052 relations and 114643409 ideals in 4 passes Sun Oct 25 17:50:39 2026 max relations containing the same ideal: 147 Sun Oct 25 17:51:16 2026 removing 12132319 relations and 10132319 ideals in 2000000 cliques Sun Oct 25 17:51:17 2026 commencing in-memory singleton removal Sun Oct 25 17:51:20 2026 begin with 125647733 relations and 114643409 unique ideals Sun Oct 25 17:51:20 2026 memory use: 890.7 MB Sun Oct 25 17:51:22 2026 reduce to 124830888 relations and 103679159 ideals in 1 passes Sun Oct 25 17:51:22 2026 max relations containing the same ideal: 136 Sun Oct 25 17:52:01 2026 removing 9257743 relations and 7257743 ideals in 2000000 cliques Sun Oct 25 17:52:03 2026 commencing in-memory singleton removal Sun Oct 25 17:52:05 2026 begin with 115573145 relations and 103679159 unique ideals Sun Oct 25 17:52:05 2026 memory use: 807.0 MB Sun Oct 25 17:52:07 2026 reduce to 115019276 relations and 95858384 ideals in 1 passes Sun Oct 25 17:52:07 2026 max relations containing the same ideal: 130 Sun Oct 25 17:52:37 2026 removing 8395329 relations and 6395329 ideals in 2000000 cliques Sun Oct 25 17:52:38 2026 commencing in-memory singleton removal Sun Oct 25 17:52:41 2026 begin with 106623947 relations and 95858384 unique ideals Sun Oct 25 17:52:41 2026 memory use: 747.3 MB Sun Oct 25 17:52:42 2026 reduce to 106124795 relations and 88955534 ideals in 1 passes Sun Oct 25 17:52:42 2026 max relations containing the same ideal: 124 Sun Oct 25 17:53:09 2026 removing 7962634 relations and 5962634 ideals in 2000000 cliques Sun Oct 25 17:53:11 2026 commencing in-memory singleton removal Sun Oct 25 17:53:13 2026 begin with 98162161 relations and 88955534 unique ideals Sun Oct 25 17:53:13 2026 memory use: 694.7 MB Sun Oct 25 17:53:14 2026 reduce to 97678724 relations and 82500979 ideals in 1 passes Sun Oct 25 17:53:14 2026 max relations containing the same ideal: 119 Sun Oct 25 17:53:39 2026 removing 7715694 relations and 5715694 ideals in 2000000 cliques Sun Oct 25 17:53:41 2026 commencing in-memory singleton removal Sun Oct 25 17:53:43 2026 begin with 89963030 relations and 82500979 unique ideals Sun Oct 25 17:53:43 2026 memory use: 645.4 MB Sun Oct 25 17:53:44 2026 reduce to 89473619 relations and 76286887 ideals in 1 passes Sun Oct 25 17:53:44 2026 max relations containing the same ideal: 112 Sun Oct 25 17:54:07 2026 removing 7564990 relations and 5564990 ideals in 2000000 cliques Sun Oct 25 17:54:08 2026 commencing in-memory singleton removal Sun Oct 25 17:54:10 2026 begin with 81908629 relations and 76286887 unique ideals Sun Oct 25 17:54:10 2026 memory use: 598.0 MB Sun Oct 25 17:54:11 2026 reduce to 81400007 relations and 70203076 ideals in 1 passes Sun Oct 25 17:54:11 2026 max relations containing the same ideal: 106 Sun Oct 25 17:54:38 2026 removing 7481167 relations and 5481167 ideals in 2000000 cliques Sun Oct 25 17:54:39 2026 commencing in-memory singleton removal Sun Oct 25 17:54:41 2026 begin with 73918840 relations and 70203076 unique ideals Sun Oct 25 17:54:41 2026 memory use: 551.6 MB Sun Oct 25 17:54:42 2026 reduce to 73376291 relations and 64167419 ideals in 1 passes Sun Oct 25 17:54:42 2026 max relations containing the same ideal: 96 Sun Oct 25 17:55:05 2026 removing 7452602 relations and 5452602 ideals in 2000000 cliques Sun Oct 25 17:55:06 2026 commencing in-memory singleton removal Sun Oct 25 17:55:07 2026 begin with 65923689 relations and 64167419 unique ideals Sun Oct 25 17:55:07 2026 memory use: 505.6 MB Sun Oct 25 17:55:08 2026 reduce to 65326499 relations and 58103251 ideals in 1 passes Sun Oct 25 17:55:08 2026 max relations containing the same ideal: 88 Sun Oct 25 17:55:26 2026 removing 7479647 relations and 5479647 ideals in 2000000 cliques Sun Oct 25 17:55:27 2026 commencing in-memory singleton removal Sun Oct 25 17:55:29 2026 begin with 57846852 relations and 58103251 unique ideals Sun Oct 25 17:55:29 2026 memory use: 459.3 MB Sun Oct 25 17:55:29 2026 reduce to 57172578 relations and 51931448 ideals in 1 passes Sun Oct 25 17:55:29 2026 max relations containing the same ideal: 83 Sun Oct 25 17:55:46 2026 removing 7539721 relations and 5539721 ideals in 2000000 cliques Sun Oct 25 17:55:47 2026 commencing in-memory singleton removal Sun Oct 25 17:55:48 2026 begin with 49632857 relations and 51931448 unique ideals Sun Oct 25 17:55:48 2026 memory use: 412.2 MB Sun Oct 25 17:55:48 2026 reduce to 48843152 relations and 45577918 ideals in 1 passes Sun Oct 25 17:55:48 2026 max relations containing the same ideal: 76 Sun Oct 25 17:56:03 2026 removing 7327882 relations and 5434057 ideals in 1893825 cliques Sun Oct 25 17:56:03 2026 commencing in-memory singleton removal Sun Oct 25 17:56:04 2026 begin with 41515270 relations and 45577918 unique ideals Sun Oct 25 17:56:04 2026 memory use: 363.7 MB Sun Oct 25 17:56:05 2026 reduce to 40637775 relations and 39237020 ideals in 1 passes Sun Oct 25 17:56:05 2026 max relations containing the same ideal: 69 Sun Oct 25 17:56:17 2026 removing 249776 relations and 220430 ideals in 29346 cliques Sun Oct 25 17:56:17 2026 commencing in-memory singleton removal Sun Oct 25 17:56:18 2026 begin with 40387999 relations and 39237020 unique ideals Sun Oct 25 17:56:18 2026 memory use: 315.4 MB Sun Oct 25 17:56:19 2026 reduce to 40387116 relations and 39015706 ideals in 1 passes Sun Oct 25 17:56:19 2026 max relations containing the same ideal: 69 Sun Oct 25 17:56:19 2026 relations with 0 large ideals: 4397 Sun Oct 25 17:56:19 2026 relations with 1 large ideals: 31677 Sun Oct 25 17:56:19 2026 relations with 2 large ideals: 414012 Sun Oct 25 17:56:19 2026 relations with 3 large ideals: 2237308 Sun Oct 25 17:56:19 2026 relations with 4 large ideals: 6378903 Sun Oct 25 17:56:19 2026 relations with 5 large ideals: 10623734 Sun Oct 25 17:56:19 2026 relations with 6 large ideals: 10837667 Sun Oct 25 17:56:19 2026 relations with 7+ large ideals: 9859418 Sun Oct 25 17:56:19 2026 commencing 2-way merge Sun Oct 25 17:56:34 2026 reduce to 24679497 relation sets and 23308087 unique ideals Sun Oct 25 17:56:34 2026 commencing full merge Sun Oct 25 18:02:16 2026 memory use: 3037.8 MB Sun Oct 25 18:02:17 2026 found 11283488 cycles, need 11166287 Sun Oct 25 18:02:19 2026 weight of 11166287 cycles is about 1228461543 (110.02/cycle) Sun Oct 25 18:02:19 2026 distribution of cycle lengths: Sun Oct 25 18:02:19 2026 1 relations: 750666 Sun Oct 25 18:02:19 2026 2 relations: 848656 Sun Oct 25 18:02:19 2026 3 relations: 873774 Sun Oct 25 18:02:19 2026 4 relations: 851210 Sun Oct 25 18:02:19 2026 5 relations: 841108 Sun Oct 25 18:02:19 2026 6 relations: 812652 Sun Oct 25 18:02:19 2026 7 relations: 777780 Sun Oct 25 18:02:19 2026 8 relations: 738347 Sun Oct 25 18:02:19 2026 9 relations: 689013 Sun Oct 25 18:02:19 2026 10+ relations: 3983081 Sun Oct 25 18:02:19 2026 heaviest cycle: 28 relations Sun Oct 25 18:02:21 2026 commencing cycle optimization Sun Oct 25 18:02:36 2026 start with 91309399 relations Sun Oct 25 18:04:51 2026 pruned 3534866 relations Sun Oct 25 18:04:52 2026 memory use: 2702.9 MB Sun Oct 25 18:04:52 2026 distribution of cycle lengths: Sun Oct 25 18:04:52 2026 1 relations: 750666 Sun Oct 25 18:04:52 2026 2 relations: 869586 Sun Oct 25 18:04:52 2026 3 relations: 909107 Sun Oct 25 18:04:52 2026 4 relations: 882011 Sun Oct 25 18:04:52 2026 5 relations: 875931 Sun Oct 25 18:04:52 2026 6 relations: 845040 Sun Oct 25 18:04:52 2026 7 relations: 811155 Sun Oct 25 18:04:52 2026 8 relations: 765841 Sun Oct 25 18:04:52 2026 9 relations: 711186 Sun Oct 25 18:04:52 2026 10+ relations: 3745764 Sun Oct 25 18:04:52 2026 heaviest cycle: 27 relations Sun Oct 25 18:04:55 2026 RelProcTime: 1512 Sun Oct 25 18:04:55 2026 Sun Oct 25 18:04:55 2026 commencing linear algebra Sun Oct 25 18:04:55 2026 using VBITS=128 Sun Oct 25 18:04:55 2026 stopping after matrix build Sun Oct 25 18:04:55 2026 initialized process (0,0) of 1 x 1 grid Sun Oct 25 18:04:57 2026 read 11166287 cycles Sun Oct 25 18:05:14 2026 cycles contain 39464994 unique relations Sun Oct 25 18:05:36 2026 read 39464994 relations Sun Oct 25 18:05:39 2026 using 20 quadratic characters above 4294917295 Sun Oct 25 18:05:44 2026 building initial matrix Sun Oct 25 18:06:11 2026 memory use: 5361.3 MB Sun Oct 25 18:06:22 2026 read 11166287 cycles Sun Oct 25 18:06:24 2026 matrix is 11166104 x 11166287 (4921.5 MB) with weight 1496143008 (133.99/col) Sun Oct 25 18:06:24 2026 sparse part has weight 1156158403 (103.54/col) Sun Oct 25 18:07:12 2026 filtering completed in 2 passes Sun Oct 25 18:07:14 2026 matrix is 11164539 x 11164722 (4921.4 MB) with weight 1496063359 (134.00/col) Sun Oct 25 18:07:14 2026 sparse part has weight 1156129901 (103.55/col) Sun Oct 25 18:07:47 2026 LinearAlgebraTime: 172 Sun Oct 25 18:07:47 2026 elapsed time 00:28:05 Sun Oct 25 18:07:49 2026 Sun Oct 25 18:07:49 2026 Sun Oct 25 18:07:49 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 25 18:07:49 2026 random seeds: 452df296 f346132d Sun Oct 25 18:07:49 2026 MPI process 0 of 2 Sun Oct 25 18:07:49 2026 Using 6 OpenMP threads Sun Oct 25 18:07:49 2026 factoring 378969852099339761160788277566956008523881346802837253816309265657154514159679508023490628872342214838219799800107964602072688348673360433563766314653957239934784021326667 (171 digits) Sun Oct 25 18:07:49 2026 no P-1/P+1/ECM available, skipping Sun Oct 25 18:07:49 2026 commencing number field sieve (171-digit input) Sun Oct 25 18:07:49 2026 R0: -1607737126715630184720678499335912 Sun Oct 25 18:07:49 2026 R1: 1368273740138064682459 Sun Oct 25 18:07:49 2026 A0: -82304173411595613343325234203369304980 Sun Oct 25 18:07:49 2026 A1: 318626185070391727881891986006373 Sun Oct 25 18:07:49 2026 A2: -25256695944562067140223088 Sun Oct 25 18:07:49 2026 A3: -38453089936377432757 Sun Oct 25 18:07:49 2026 A4: 336635763924 Sun Oct 25 18:07:49 2026 A5: 141120 Sun Oct 25 18:07:49 2026 skew 6459201.62, size 1.919e-16, alpha -6.018, combined = 4.460e-13 rroots = 5 Sun Oct 25 18:07:49 2026 Sun Oct 25 18:07:49 2026 commencing linear algebra Sun Oct 25 18:07:49 2026 using VBITS=256 Sun Oct 25 18:07:49 2026 skipping matrix build Sun Oct 25 18:07:49 2026 initialized process (0,0) of 1 x 2 grid Sun Oct 25 18:07:52 2026 matrix starts at (0, 0) Sun Oct 25 18:07:53 2026 matrix is 11164539 x 5582456 (2460.7 MB) with weight 748019275 (133.99/col) Sun Oct 25 18:07:53 2026 sparse part has weight 578065086 (103.55/col) Sun Oct 25 18:07:53 2026 saving the first 240 matrix rows for later Sun Oct 25 18:07:54 2026 matrix includes 256 packed rows Sun Oct 25 18:07:55 2026 matrix is 11164299 x 5582456 (2254.2 MB) with weight 531047123 (95.13/col) Sun Oct 25 18:07:55 2026 sparse part has weight 501612636 (89.86/col) Sun Oct 25 18:07:55 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Sun Oct 25 18:07:55 2026 selected card has CUDA arch 8.0 Sun Oct 25 18:07:55 2026 computed block_nnz 133971588 (L2 cache 41943040 bytes, average column weight 89.9) Sun Oct 25 18:07:55 2026 nonzeros per matrix block: 4000000000 Sun Oct 25 18:07:55 2026 SpMV kernel: auto (by nonzeros per row) Sun Oct 25 18:07:58 2026 GPU memory: 40017 MB free, 1704 MB for vectors, 38143 MB for sparse matrix blocks (3895 MB needed) Sun Oct 25 18:08:23 2026 commencing Lanczos iteration Sun Oct 25 18:08:24 2026 memory use: 5764.8 MB Sun Oct 25 18:08:33 2026 linear algebra at 0.3%, ETA 0h54m Sun Oct 25 18:08:47 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions Sun Oct 25 19:04:56 2026 lanczos halted after 43743 iterations (dim = 11164295) Sun Oct 25 19:05:48 2026 recovered 26 nontrivial dependencies Sun Oct 25 19:05:49 2026 BLanczosTime: 3480 Sun Oct 25 19:05:49 2026 elapsed time 00:58:00 Sun Oct 25 19:05:50 2026 Sun Oct 25 19:05:50 2026 Sun Oct 25 19:05:50 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 25 19:05:50 2026 random seeds: 3d93de5f da545e66 Sun Oct 25 19:05:50 2026 MPI process 0 of 1 Sun Oct 25 19:05:50 2026 Using 6 OpenMP threads Sun Oct 25 19:05:50 2026 factoring 378969852099339761160788277566956008523881346802837253816309265657154514159679508023490628872342214838219799800107964602072688348673360433563766314653957239934784021326667 (171 digits) Sun Oct 25 19:05:50 2026 no P-1/P+1/ECM available, skipping Sun Oct 25 19:05:50 2026 commencing number field sieve (171-digit input) Sun Oct 25 19:05:50 2026 R0: -1607737126715630184720678499335912 Sun Oct 25 19:05:50 2026 R1: 1368273740138064682459 Sun Oct 25 19:05:50 2026 A0: -82304173411595613343325234203369304980 Sun Oct 25 19:05:50 2026 A1: 318626185070391727881891986006373 Sun Oct 25 19:05:50 2026 A2: -25256695944562067140223088 Sun Oct 25 19:05:50 2026 A3: -38453089936377432757 Sun Oct 25 19:05:50 2026 A4: 336635763924 Sun Oct 25 19:05:50 2026 A5: 141120 Sun Oct 25 19:05:50 2026 skew 6459201.62, size 1.919e-16, alpha -6.018, combined = 4.460e-13 rroots = 5 Sun Oct 25 19:05:50 2026 Sun Oct 25 19:05:50 2026 commencing square root phase Sun Oct 25 19:05:50 2026 reading relations for dependency 1 Sun Oct 25 19:05:51 2026 read 5581801 cycles Sun Oct 25 19:05:58 2026 cycles contain 19732856 unique relations Sun Oct 25 19:08:51 2026 read 19732856 relations Sun Oct 25 19:09:13 2026 multiplying 19732856 relations Sun Oct 25 19:09:14 2026 square root: using GPU for the lift, 4.3 GB of buffers for a modulus up to 556801190 bits Sun Oct 25 19:09:14 2026 square root: mod(x) has degree 4 and is not monic Sun Oct 25 19:09:14 2026 product tree: level 9 (6 nodes, 2.1 Mbit): GPU 0.01 s, CPU 0.01 s, 0.79x, card loses here Sun Oct 25 19:09:14 2026 product tree: GPU sample 1 of 3 at 2.07 Mbit (widest 2.08): GPU 17.0 ms, CPU 77.6 ms, 4.56x Sun Oct 25 19:09:14 2026 product tree: GPU verified against CPU at 2.07 Mbit, 4.6x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:09:14 2026 product tree: GPU sample 2 of 3 at 2.08 Mbit (widest 2.08): GPU 15.1 ms, CPU 77.9 ms, 5.16x Sun Oct 25 19:09:14 2026 product tree: GPU verified against CPU at 2.08 Mbit, 4.6x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:09:14 2026 product tree: GPU sample 3 of 3 at 2.07 Mbit (widest 2.07): GPU 14.9 ms, CPU 78.1 ms, 5.25x Sun Oct 25 19:09:14 2026 product tree: GPU verified against CPU at 2.07 Mbit, 5.2x one CPU multiply, so levels up to 5 nodes Sun Oct 25 19:09:15 2026 product tree: level 8 (6 nodes, 3.8 Mbit): GPU 0.02 s, CPU 0.18 s, 9.14x, card wins here Sun Oct 25 19:09:17 2026 product tree: level 7 (6 nodes, 7.9 Mbit): GPU 0.03 s, CPU 0.39 s, 14.19x, card wins here Sun Oct 25 19:09:20 2026 product tree: level 6 (6 nodes, 16.3 Mbit): GPU 0.04 s, CPU 0.90 s, 24.54x, card wins here Sun Oct 25 19:09:26 2026 product tree: level 5 (6 nodes, 33.0 Mbit): GPU 0.07 s, CPU 1.92 s, 28.40x, card wins here Sun Oct 25 19:09:39 2026 product tree: level 4 (6 nodes, 66.4 Mbit): GPU 0.14 s, CPU 3.44 s, 25.30x, card wins here Sun Oct 25 19:09:48 2026 multiply complete, coefficients have about 1063.93 million bits Sun Oct 25 19:09:50 2026 initial square root is modulo 59263 Sun Oct 25 19:10:10 2026 square root: prod mod q chained over 24 steps, 0.33 GB, 8.2 s Sun Oct 25 19:10:10 2026 square root: GPU lift verified against CPU in 0.10 s, continuing on the GPU Sun Oct 25 19:11:48 2026 GCD is N, no factor found Sun Oct 25 19:11:48 2026 reading relations for dependency 2 Sun Oct 25 19:11:49 2026 read 5581596 cycles Sun Oct 25 19:11:56 2026 cycles contain 19732096 unique relations Sun Oct 25 19:14:45 2026 read 19732096 relations Sun Oct 25 19:15:03 2026 multiplying 19732096 relations Sun Oct 25 19:15:04 2026 square root: using GPU for the lift, 4.4 GB of buffers for a modulus up to 561666201 bits Sun Oct 25 19:15:04 2026 square root: mod(x) has degree 4 and is not monic Sun Oct 25 19:15:04 2026 product tree: level 9 (6 nodes, 2.1 Mbit): GPU 0.02 s, CPU 0.01 s, 0.83x, card loses here Sun Oct 25 19:15:05 2026 product tree: GPU sample 1 of 3 at 2.09 Mbit (widest 2.09): GPU 16.0 ms, CPU 76.5 ms, 4.77x Sun Oct 25 19:15:05 2026 product tree: GPU verified against CPU at 2.09 Mbit, 4.8x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:15:05 2026 product tree: GPU sample 2 of 3 at 2.07 Mbit (widest 2.07): GPU 15.0 ms, CPU 77.9 ms, 5.19x Sun Oct 25 19:15:05 2026 product tree: GPU verified against CPU at 2.07 Mbit, 4.8x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:15:05 2026 product tree: GPU sample 3 of 3 at 2.08 Mbit (widest 2.08): GPU 15.0 ms, CPU 76.9 ms, 5.11x Sun Oct 25 19:15:05 2026 product tree: GPU verified against CPU at 2.08 Mbit, 5.1x one CPU multiply, so levels up to 5 nodes Sun Oct 25 19:15:05 2026 product tree: level 8 (6 nodes, 3.7 Mbit): GPU 0.02 s, CPU 0.18 s, 8.47x, card wins here Sun Oct 25 19:15:07 2026 product tree: level 7 (6 nodes, 7.9 Mbit): GPU 0.03 s, CPU 0.39 s, 14.64x, card wins here Sun Oct 25 19:15:10 2026 product tree: level 6 (6 nodes, 16.3 Mbit): GPU 0.04 s, CPU 0.90 s, 25.15x, card wins here Sun Oct 25 19:15:16 2026 product tree: level 5 (6 nodes, 33.0 Mbit): GPU 0.08 s, CPU 1.91 s, 24.47x, card wins here Sun Oct 25 19:15:29 2026 product tree: level 4 (6 nodes, 66.4 Mbit): GPU 0.13 s, CPU 4.04 s, 30.25x, card wins here Sun Oct 25 19:15:38 2026 multiply complete, coefficients have about 1063.88 million bits Sun Oct 25 19:15:40 2026 initial square root is modulo 59263 Sun Oct 25 19:16:01 2026 square root: prod mod q chained over 24 steps, 0.33 GB, 8.2 s Sun Oct 25 19:16:01 2026 square root: GPU lift verified against CPU in 0.10 s, continuing on the GPU Sun Oct 25 19:17:38 2026 GCD is 1, no factor found Sun Oct 25 19:17:38 2026 reading relations for dependency 3 Sun Oct 25 19:17:39 2026 read 5580577 cycles Sun Oct 25 19:17:46 2026 cycles contain 19733808 unique relations Sun Oct 25 19:20:33 2026 read 19733808 relations Sun Oct 25 19:20:54 2026 multiplying 19733808 relations Sun Oct 25 19:20:55 2026 square root: using GPU for the lift, 4.3 GB of buffers for a modulus up to 558563980 bits Sun Oct 25 19:20:55 2026 square root: mod(x) has degree 4 and is not monic Sun Oct 25 19:20:55 2026 product tree: level 9 (6 nodes, 2.1 Mbit): GPU 0.01 s, CPU 0.01 s, 0.77x, card loses here Sun Oct 25 19:20:55 2026 product tree: GPU sample 1 of 3 at 2.08 Mbit (widest 2.08): GPU 16.1 ms, CPU 76.9 ms, 4.78x Sun Oct 25 19:20:55 2026 product tree: GPU verified against CPU at 2.08 Mbit, 4.8x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:20:55 2026 product tree: GPU sample 2 of 3 at 2.09 Mbit (widest 2.09): GPU 15.0 ms, CPU 76.5 ms, 5.10x Sun Oct 25 19:20:55 2026 product tree: GPU verified against CPU at 2.09 Mbit, 4.8x one CPU multiply, so levels up to 4 nodes Sun Oct 25 19:20:55 2026 product tree: GPU sample 3 of 3 at 2.08 Mbit (widest 2.08): GPU 15.0 ms, CPU 77.9 ms, 5.19x Sun Oct 25 19:20:55 2026 product tree: GPU verified against CPU at 2.08 Mbit, 5.1x one CPU multiply, so levels up to 5 nodes Sun Oct 25 19:20:55 2026 product tree: level 8 (6 nodes, 3.7 Mbit): GPU 0.02 s, CPU 0.17 s, 9.12x, card wins here Sun Oct 25 19:20:57 2026 product tree: level 7 (6 nodes, 7.9 Mbit): GPU 0.03 s, CPU 0.39 s, 12.74x, card wins here Sun Oct 25 19:21:00 2026 product tree: level 6 (6 nodes, 16.3 Mbit): GPU 0.04 s, CPU 0.91 s, 25.27x, card wins here Sun Oct 25 19:21:06 2026 product tree: level 5 (6 nodes, 33.0 Mbit): GPU 0.07 s, CPU 2.09 s, 31.48x, card wins here Sun Oct 25 19:21:19 2026 product tree: level 4 (6 nodes, 66.4 Mbit): GPU 0.13 s, CPU 4.03 s, 30.16x, card wins here Sun Oct 25 19:21:28 2026 multiply complete, coefficients have about 1063.98 million bits Sun Oct 25 19:21:30 2026 initial square root is modulo 59263 Sun Oct 25 19:21:50 2026 square root: prod mod q chained over 24 steps, 0.33 GB, 8.3 s Sun Oct 25 19:21:50 2026 square root: GPU lift verified against CPU in 0.10 s, continuing on the GPU Sun Oct 25 19:23:26 2026 sqrtTime: 1056 Sun Oct 25 19:23:26 2026 p73 factor: 7242348208139141899287170811615812881157802210326130293507732788931272643 Sun Oct 25 19:23:26 2026 p98 factor: 52326930604281557163792276617019716262339072262523496665000591700325245385934167179417138078750169 Sun Oct 25 19:23:26 2026 elapsed time 00:17:36