Sat Sep 11 20:21:36 2021 Sat Sep 11 20:21:36 2021 Sat Sep 11 20:21:36 2021 Msieve v. 1.54 (SVN unknown) Sat Sep 11 20:21:36 2021 random seeds: cbf56120 4333786f Sat Sep 11 20:21:36 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits) Sat Sep 11 20:21:36 2021 no P-1/P+1/ECM available, skipping Sat Sep 11 20:21:36 2021 commencing number field sieve (187-digit input) Sat Sep 11 20:21:36 2021 R0: 78551672112789411833022577315290546060373041 Sat Sep 11 20:21:36 2021 R1: -4951760157141521099596496896 Sat Sep 11 20:21:36 2021 A0: 3 Sat Sep 11 20:21:36 2021 A1: 0 Sat Sep 11 20:21:36 2021 A2: 0 Sat Sep 11 20:21:36 2021 A3: 0 Sat Sep 11 20:21:36 2021 A4: 0 Sat Sep 11 20:21:36 2021 A5: 0 Sat Sep 11 20:21:36 2021 A6: 2 Sat Sep 11 20:21:36 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0 Sat Sep 11 20:21:36 2021 Sat Sep 11 20:21:36 2021 commencing relation filtering Sat Sep 11 20:21:36 2021 estimated available RAM is 515600.8 MB Sat Sep 11 20:21:36 2021 commencing duplicate removal, pass 1 Sat Sep 11 20:41:43 2021 skipped 636 relations with b > 2^32 Sat Sep 11 20:41:43 2021 skipped 168 relations with composite factors Sat Sep 11 20:41:43 2021 found 45651833 hash collisions in 222624412 relations Sat Sep 11 20:41:52 2021 commencing duplicate removal, pass 2 Sat Sep 11 20:45:15 2021 found 47340905 duplicates and 175283507 unique relations Sat Sep 11 20:45:15 2021 memory use: 1321.5 MB Sat Sep 11 20:45:15 2021 reading ideals above 720000 Sat Sep 11 20:45:15 2021 commencing singleton removal, initial pass Sat Sep 11 21:02:11 2021 memory use: 5512.0 MB Sat Sep 11 21:02:11 2021 reading all ideals from disk Sat Sep 11 21:02:12 2021 memory use: 7274.3 MB Sat Sep 11 21:02:20 2021 keeping 174847754 ideals with weight <= 200, target excess is 921074 Sat Sep 11 21:02:30 2021 commencing in-memory singleton removal Sat Sep 11 21:02:35 2021 begin with 175283507 relations and 174847754 unique ideals Sat Sep 11 21:03:40 2021 reduce to 102807509 relations and 94102744 ideals in 17 passes Sat Sep 11 21:03:40 2021 max relations containing the same ideal: 147 Sat Sep 11 21:04:05 2021 removing 7995906 relations and 6995906 ideals in 1000000 cliques Sat Sep 11 21:04:08 2021 commencing in-memory singleton removal Sat Sep 11 21:04:11 2021 begin with 94811603 relations and 94102744 unique ideals Sat Sep 11 21:04:49 2021 reduce to 94285190 relations and 86573152 ideals in 10 passes Sat Sep 11 21:04:49 2021 max relations containing the same ideal: 140 Sat Sep 11 21:05:15 2021 removing 5998401 relations and 4998401 ideals in 1000000 cliques Sat Sep 11 21:05:17 2021 commencing in-memory singleton removal Sat Sep 11 21:05:20 2021 begin with 88286789 relations and 86573152 unique ideals Sat Sep 11 21:05:50 2021 reduce to 87955761 relations and 81239911 ideals in 9 passes Sat Sep 11 21:05:50 2021 max relations containing the same ideal: 135 Sat Sep 11 21:06:12 2021 removing 5379673 relations and 4379673 ideals in 1000000 cliques Sat Sep 11 21:06:14 2021 commencing in-memory singleton removal Sat Sep 11 21:06:16 2021 begin with 82576088 relations and 81239911 unique ideals Sat Sep 11 21:06:41 2021 reduce to 82292658 relations and 76573578 ideals in 9 passes Sat Sep 11 21:06:41 2021 max relations containing the same ideal: 131 Sat Sep 11 21:07:01 2021 removing 5057355 relations and 4057355 ideals in 1000000 cliques Sat Sep 11 21:07:03 2021 commencing in-memory singleton removal Sat Sep 11 21:07:05 2021 begin with 77235303 relations and 76573578 unique ideals Sat Sep 11 21:07:29 2021 reduce to 76966704 relations and 72244580 ideals in 9 passes Sat Sep 11 21:07:29 2021 max relations containing the same ideal: 123 Sat Sep 11 21:07:48 2021 removing 4857035 relations and 3857035 ideals in 1000000 cliques Sat Sep 11 21:07:50 2021 commencing in-memory singleton removal Sat Sep 11 21:07:52 2021 begin with 72109669 relations and 72244580 unique ideals Sat Sep 11 21:08:12 2021 reduce to 71848033 relations and 68122716 ideals in 8 passes Sat Sep 11 21:08:12 2021 max relations containing the same ideal: 119 Sat Sep 11 21:08:31 2021 removing 4722041 relations and 3722041 ideals in 1000000 cliques Sat Sep 11 21:08:32 2021 commencing in-memory singleton removal Sat Sep 11 21:08:35 2021 begin with 67125992 relations and 68122716 unique ideals Sat Sep 11 21:08:55 2021 reduce to 66862758 relations and 64134118 ideals in 8 passes Sat Sep 11 21:08:55 2021 max relations containing the same ideal: 113 Sat Sep 11 21:09:12 2021 removing 4634898 relations and 3634898 ideals in 1000000 cliques Sat Sep 11 21:09:14 2021 commencing in-memory singleton removal Sat Sep 11 21:09:15 2021 begin with 62227860 relations and 64134118 unique ideals Sat Sep 11 21:09:32 2021 reduce to 61956492 relations and 60224291 ideals in 8 passes Sat Sep 11 21:09:32 2021 max relations containing the same ideal: 106 Sat Sep 11 21:09:48 2021 removing 3277668 relations and 2613913 ideals in 663755 cliques Sat Sep 11 21:09:49 2021 commencing in-memory singleton removal Sat Sep 11 21:09:51 2021 begin with 58678824 relations and 60224291 unique ideals Sat Sep 11 21:10:06 2021 reduce to 58537849 relations and 57468032 ideals in 8 passes Sat Sep 11 21:10:06 2021 max relations containing the same ideal: 103 Sat Sep 11 21:10:28 2021 relations with 0 large ideals: 34728 Sat Sep 11 21:10:28 2021 relations with 1 large ideals: 10284 Sat Sep 11 21:10:28 2021 relations with 2 large ideals: 123055 Sat Sep 11 21:10:28 2021 relations with 3 large ideals: 904541 Sat Sep 11 21:10:28 2021 relations with 4 large ideals: 3710386 Sat Sep 11 21:10:28 2021 relations with 5 large ideals: 9241407 Sat Sep 11 21:10:28 2021 relations with 6 large ideals: 14566514 Sat Sep 11 21:10:28 2021 relations with 7+ large ideals: 29946934 Sat Sep 11 21:10:28 2021 commencing 2-way merge Sat Sep 11 21:10:51 2021 reduce to 37737315 relation sets and 36667498 unique ideals Sat Sep 11 21:10:51 2021 commencing full merge Sat Sep 11 21:19:07 2021 memory use: 4735.8 MB Sat Sep 11 21:19:10 2021 found 18644922 cycles, need 18513698 Sat Sep 11 21:19:14 2021 weight of 18513698 cycles is about 1666245605 (90.00/cycle) Sat Sep 11 21:19:14 2021 distribution of cycle lengths: Sat Sep 11 21:19:14 2021 1 relations: 1974050 Sat Sep 11 21:19:14 2021 2 relations: 1946667 Sat Sep 11 21:19:14 2021 3 relations: 1894444 Sat Sep 11 21:19:14 2021 4 relations: 1743221 Sat Sep 11 21:19:14 2021 5 relations: 1598180 Sat Sep 11 21:19:14 2021 6 relations: 1452398 Sat Sep 11 21:19:14 2021 7 relations: 1303505 Sat Sep 11 21:19:14 2021 8 relations: 1155134 Sat Sep 11 21:19:14 2021 9 relations: 1020988 Sat Sep 11 21:19:14 2021 10+ relations: 4425111 Sat Sep 11 21:19:14 2021 heaviest cycle: 26 relations Sat Sep 11 21:19:18 2021 commencing cycle optimization Sat Sep 11 21:19:40 2021 start with 120799306 relations Sat Sep 11 21:22:02 2021 pruned 3827336 relations Sat Sep 11 21:22:03 2021 memory use: 3646.1 MB Sat Sep 11 21:22:03 2021 distribution of cycle lengths: Sat Sep 11 21:22:03 2021 1 relations: 1974050 Sat Sep 11 21:22:03 2021 2 relations: 1990473 Sat Sep 11 21:22:03 2021 3 relations: 1967674 Sat Sep 11 21:22:03 2021 4 relations: 1795323 Sat Sep 11 21:22:03 2021 5 relations: 1651665 Sat Sep 11 21:22:03 2021 6 relations: 1488697 Sat Sep 11 21:22:03 2021 7 relations: 1334306 Sat Sep 11 21:22:03 2021 8 relations: 1173044 Sat Sep 11 21:22:03 2021 9 relations: 1031139 Sat Sep 11 21:22:03 2021 10+ relations: 4107327 Sat Sep 11 21:22:03 2021 heaviest cycle: 26 relations Sat Sep 11 21:22:25 2021 RelProcTime: 3649 Sat Sep 11 21:22:25 2021 Sat Sep 11 21:22:25 2021 commencing linear algebra Sat Sep 11 21:22:25 2021 using VBITS=256 Sat Sep 11 21:22:26 2021 read 18513698 cycles Sat Sep 11 21:22:47 2021 cycles contain 57831555 unique relations Sat Sep 11 21:28:04 2021 read 57831555 relations Sat Sep 11 21:29:12 2021 using 20 quadratic characters above 4294917295 Sat Sep 11 21:31:53 2021 building initial matrix Sat Sep 11 21:38:34 2021 memory use: 7379.1 MB Sat Sep 11 21:38:39 2021 read 18513698 cycles Sat Sep 11 21:38:41 2021 matrix is 18513520 x 18513698 (6887.7 MB) with weight 1982646768 (107.09/col) Sat Sep 11 21:38:41 2021 sparse part has weight 1601913091 (86.53/col) Sat Sep 11 21:40:27 2021 filtering completed in 2 passes Sat Sep 11 21:40:30 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col) Sat Sep 11 21:40:30 2021 sparse part has weight 1601875143 (86.54/col) Sat Sep 11 21:40:57 2021 matrix starts at (0, 0) Sat Sep 11 21:40:59 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col) Sat Sep 11 21:40:59 2021 sparse part has weight 1601875143 (86.54/col) Sat Sep 11 21:40:59 2021 saving the first 240 matrix rows for later Sat Sep 11 21:41:01 2021 matrix includes 256 packed rows Sat Sep 11 21:41:07 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col) Sat Sep 11 21:41:07 2021 sparse part has weight 1389573123 (75.07/col) Sat Sep 11 21:41:07 2021 using GPU 0 (Tesla V100-PCIE-32GB) Sat Sep 11 21:41:07 2021 selected card has CUDA arch 7.0 Sat Sep 11 21:42:04 2021 commencing Lanczos iteration Sat Sep 11 21:42:04 2021 memory use: 15261.8 MB Sat Sep 11 21:42:09 2021 linear algebra at 0.0%, ETA 13h24m Sat Sep 11 21:42:10 2021 checkpointing every 1480000 dimensions Sat Sep 11 23:52:15 2021 lanczos halted after 13434 iterations (dim = 3428869) Sat Sep 11 23:52:15 2021 BLanczosTime: 8990 Sat Sep 11 23:53:50 2021 Sat Sep 11 23:53:50 2021 Sat Sep 11 23:53:50 2021 Msieve v. 1.54 (SVN unknown) Sat Sep 11 23:53:50 2021 random seeds: ffbafb64 2efe58f0 Sat Sep 11 23:53:50 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits) Sat Sep 11 23:53:50 2021 no P-1/P+1/ECM available, skipping Sat Sep 11 23:53:50 2021 commencing number field sieve (187-digit input) Sat Sep 11 23:53:50 2021 R0: 78551672112789411833022577315290546060373041 Sat Sep 11 23:53:50 2021 R1: -4951760157141521099596496896 Sat Sep 11 23:53:50 2021 A0: 3 Sat Sep 11 23:53:50 2021 A1: 0 Sat Sep 11 23:53:50 2021 A2: 0 Sat Sep 11 23:53:50 2021 A3: 0 Sat Sep 11 23:53:50 2021 A4: 0 Sat Sep 11 23:53:50 2021 A5: 0 Sat Sep 11 23:53:50 2021 A6: 2 Sat Sep 11 23:53:50 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0 Sat Sep 11 23:53:50 2021 Sat Sep 11 23:53:50 2021 commencing linear algebra Sat Sep 11 23:53:50 2021 using VBITS=256 Sat Sep 11 23:53:58 2021 matrix starts at (0, 0) Sat Sep 11 23:54:01 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col) Sat Sep 11 23:54:01 2021 sparse part has weight 1601875143 (86.54/col) Sat Sep 11 23:54:01 2021 saving the first 240 matrix rows for later Sat Sep 11 23:54:06 2021 matrix includes 256 packed rows Sat Sep 11 23:54:11 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col) Sat Sep 11 23:54:11 2021 sparse part has weight 1389573123 (75.07/col) Sat Sep 11 23:54:11 2021 using GPU 1 (Tesla V100-PCIE-32GB) Sat Sep 11 23:54:11 2021 selected card has CUDA arch 7.0 Sat Sep 11 23:55:11 2021 commencing Lanczos iteration Sat Sep 11 23:55:12 2021 memory use: 15261.8 MB Sat Sep 11 23:55:13 2021 restarting at iteration 13434 (dim = 3428869) Sat Sep 11 23:55:16 2021 linear algebra at 18.5%, ETA 8h13m Sat Sep 11 23:55:20 2021 checkpointing every 1710000 dimensions Sun Sep 12 03:10:44 2021 lanczos halted after 33792 iterations (dim = 8624847) Sun Sep 12 03:10:44 2021 BLanczosTime: 11814 Sun Sep 12 03:12:11 2021 Sun Sep 12 03:12:11 2021 Sun Sep 12 03:12:11 2021 Msieve v. 1.54 (SVN unknown) Sun Sep 12 03:12:11 2021 random seeds: cf7f3b57 2f17af0b Sun Sep 12 03:12:11 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits) Sun Sep 12 03:12:12 2021 no P-1/P+1/ECM available, skipping Sun Sep 12 03:12:12 2021 commencing number field sieve (187-digit input) Sun Sep 12 03:12:12 2021 R0: 78551672112789411833022577315290546060373041 Sun Sep 12 03:12:12 2021 R1: -4951760157141521099596496896 Sun Sep 12 03:12:12 2021 A0: 3 Sun Sep 12 03:12:12 2021 A1: 0 Sun Sep 12 03:12:12 2021 A2: 0 Sun Sep 12 03:12:12 2021 A3: 0 Sun Sep 12 03:12:12 2021 A4: 0 Sun Sep 12 03:12:12 2021 A5: 0 Sun Sep 12 03:12:12 2021 A6: 2 Sun Sep 12 03:12:12 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0 Sun Sep 12 03:12:12 2021 Sun Sep 12 03:12:12 2021 commencing linear algebra Sun Sep 12 03:12:12 2021 using VBITS=256 Sun Sep 12 03:12:19 2021 matrix starts at (0, 0) Sun Sep 12 03:12:21 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col) Sun Sep 12 03:12:21 2021 sparse part has weight 1601875143 (86.54/col) Sun Sep 12 03:12:21 2021 saving the first 240 matrix rows for later Sun Sep 12 03:12:25 2021 matrix includes 256 packed rows Sun Sep 12 03:12:30 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col) Sun Sep 12 03:12:30 2021 sparse part has weight 1389573123 (75.07/col) Sun Sep 12 03:12:30 2021 using GPU 1 (Tesla V100-PCIE-32GB) Sun Sep 12 03:12:30 2021 selected card has CUDA arch 7.0 Sun Sep 12 03:13:30 2021 commencing Lanczos iteration Sun Sep 12 03:13:31 2021 memory use: 15261.8 MB Sun Sep 12 03:13:31 2021 restarting at iteration 33792 (dim = 8624847) Sun Sep 12 03:13:35 2021 linear algebra at 46.6%, ETA 7h10m Sun Sep 12 03:13:39 2021 checkpointing every 1500000 dimensions Sun Sep 12 09:25:26 2021 lanczos halted after 72520 iterations (dim = 18509359) Sun Sep 12 09:26:14 2021 recovered 36 nontrivial dependencies Sun Sep 12 09:26:14 2021 BLanczosTime: 22442 Sun Sep 12 09:26:14 2021 Sun Sep 12 09:26:14 2021 commencing square root phase Sun Sep 12 09:26:14 2021 handling dependencies 1 to 64 Sun Sep 12 09:26:14 2021 reading relations for dependency 1 Sun Sep 12 09:26:16 2021 read 9256113 cycles Sun Sep 12 09:26:26 2021 cycles contain 28916128 unique relations Sun Sep 12 09:30:20 2021 read 28916128 relations Sun Sep 12 09:31:48 2021 multiplying 28916128 relations Sun Sep 12 09:47:03 2021 multiply complete, coefficients have about 787.27 million bits Sun Sep 12 09:47:05 2021 initial square root is modulo 11561509 Sun Sep 12 10:03:01 2021 sqrtTime: 2207 Sun Sep 12 10:03:01 2021 p57 factor: 276289231332731566044884175074973665891294875814153042737 Sun Sep 12 10:03:01 2021 p131 factor: 25607829202881219627387277424459651598647233510035104990450386911039936265247085244493172557829856725879072754603506700535165748697 Sun Sep 12 10:03:01 2021 elapsed time 06:50:50