Fri Jan 13 20:37:02 2023 Fri Jan 13 20:37:02 2023 Fri Jan 13 20:37:02 2023 Msieve v. 1.54 (SVN Unversioned directory) Fri Jan 13 20:37:02 2023 random seeds: 7b15ecde f0f1c0f9 Fri Jan 13 20:37:02 2023 factoring 251943473936349524429824719645801171879871075629863706099337222727952675907357797003119334717953058662784965723161909493627525235177002947762720953040656434295586846184817084414113907936620453354142150380700136686336877025267 (225 digits) Fri Jan 13 20:37:02 2023 no P-1/P+1/ECM available, skipping Fri Jan 13 20:37:02 2023 commencing number field sieve (225-digit input) Fri Jan 13 20:37:02 2023 R0: 1866997015934197116624538381960534481162 Fri Jan 13 20:37:02 2023 R1: -43208760870154528381 Fri Jan 13 20:37:02 2023 A0: -1 Fri Jan 13 20:37:02 2023 A1: 3 Fri Jan 13 20:37:02 2023 A2: 6 Fri Jan 13 20:37:02 2023 A3: -4 Fri Jan 13 20:37:02 2023 A4: -5 Fri Jan 13 20:37:02 2023 A5: 1 Fri Jan 13 20:37:02 2023 A6: 1 Fri Jan 13 20:37:02 2023 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.794e-13 rroots = 6 Fri Jan 13 20:37:02 2023 Fri Jan 13 20:37:02 2023 commencing relation filtering Fri Jan 13 20:37:02 2023 setting target matrix density to 112.0 Fri Jan 13 20:37:02 2023 estimated available RAM is 15960.0 MB Fri Jan 13 20:37:02 2023 commencing duplicate removal, pass 1 Fri Jan 13 20:51:20 2023 skipped 14 relations with b > 2^32 Fri Jan 13 20:51:20 2023 skipped 3 relations with composite factors Fri Jan 13 20:51:20 2023 found 4793919 hash collisions in 104795994 relations Fri Jan 13 20:51:20 2023 commencing duplicate removal, pass 2 Fri Jan 13 20:51:53 2023 found 0 duplicates and 104795994 unique relations Fri Jan 13 20:51:53 2023 memory use: 261.2 MB Fri Jan 13 20:51:53 2023 reading ideals above 72155136 Fri Jan 13 20:51:53 2023 commencing singleton removal, initial pass Fri Jan 13 21:02:14 2023 memory use: 2756.0 MB Fri Jan 13 21:02:14 2023 reading all ideals from disk Fri Jan 13 21:02:16 2023 memory use: 1995.4 MB Fri Jan 13 21:02:19 2023 commencing in-memory singleton removal Fri Jan 13 21:02:22 2023 begin with 104795994 relations and 85043597 unique ideals Fri Jan 13 21:02:51 2023 reduce to 73191445 relations and 50579605 ideals in 12 passes Fri Jan 13 21:02:51 2023 max relations containing the same ideal: 45 Fri Jan 13 21:02:54 2023 reading ideals above 720000 Fri Jan 13 21:02:54 2023 commencing singleton removal, initial pass Fri Jan 13 21:10:55 2023 memory use: 1506.0 MB Fri Jan 13 21:10:55 2023 reading all ideals from disk Fri Jan 13 21:10:56 2023 memory use: 2790.2 MB Fri Jan 13 21:11:01 2023 keeping 58679529 ideals with weight <= 200, target excess is 374598 Fri Jan 13 21:11:07 2023 commencing in-memory singleton removal Fri Jan 13 21:11:12 2023 begin with 73191445 relations and 58679529 unique ideals Fri Jan 13 21:11:28 2023 reduce to 73191380 relations and 58679464 ideals in 4 passes Fri Jan 13 21:11:28 2023 max relations containing the same ideal: 200 Fri Jan 13 21:11:51 2023 removing 8412203 relations and 6412203 ideals in 2000000 cliques Fri Jan 13 21:11:54 2023 commencing in-memory singleton removal Fri Jan 13 21:11:58 2023 begin with 64779177 relations and 58679464 unique ideals Fri Jan 13 21:12:26 2023 reduce to 63933646 relations and 51392806 ideals in 8 passes Fri Jan 13 21:12:26 2023 max relations containing the same ideal: 192 Fri Jan 13 21:12:47 2023 removing 6842771 relations and 4842771 ideals in 2000000 cliques Fri Jan 13 21:12:49 2023 commencing in-memory singleton removal Fri Jan 13 21:12:52 2023 begin with 57090875 relations and 51392806 unique ideals Fri Jan 13 21:13:17 2023 reduce to 56487497 relations and 45927175 ideals in 8 passes Fri Jan 13 21:13:17 2023 max relations containing the same ideal: 180 Fri Jan 13 21:13:35 2023 removing 6386627 relations and 4386627 ideals in 2000000 cliques Fri Jan 13 21:13:37 2023 commencing in-memory singleton removal Fri Jan 13 21:13:40 2023 begin with 50100870 relations and 45927175 unique ideals Fri Jan 13 21:14:00 2023 reduce to 49537359 relations and 40957975 ideals in 7 passes Fri Jan 13 21:14:00 2023 max relations containing the same ideal: 166 Fri Jan 13 21:14:15 2023 removing 6168658 relations and 4168658 ideals in 2000000 cliques Fri Jan 13 21:14:17 2023 commencing in-memory singleton removal Fri Jan 13 21:14:20 2023 begin with 43368701 relations and 40957975 unique ideals Fri Jan 13 21:14:36 2023 reduce to 42799519 relations and 36199032 ideals in 7 passes Fri Jan 13 21:14:36 2023 max relations containing the same ideal: 150 Fri Jan 13 21:14:50 2023 removing 6044118 relations and 4044118 ideals in 2000000 cliques Fri Jan 13 21:14:52 2023 commencing in-memory singleton removal Fri Jan 13 21:14:54 2023 begin with 36755401 relations and 36199032 unique ideals Fri Jan 13 21:15:10 2023 reduce to 36151529 relations and 31525456 ideals in 8 passes Fri Jan 13 21:15:10 2023 max relations containing the same ideal: 134 Fri Jan 13 21:15:21 2023 removing 5967832 relations and 3967832 ideals in 2000000 cliques Fri Jan 13 21:15:23 2023 commencing in-memory singleton removal Fri Jan 13 21:15:25 2023 begin with 30183697 relations and 31525456 unique ideals Fri Jan 13 21:15:39 2023 reduce to 29515184 relations and 26855961 ideals in 9 passes Fri Jan 13 21:15:39 2023 max relations containing the same ideal: 117 Fri Jan 13 21:15:48 2023 removing 5911503 relations and 3911503 ideals in 2000000 cliques Fri Jan 13 21:15:50 2023 commencing in-memory singleton removal Fri Jan 13 21:15:51 2023 begin with 23603681 relations and 26855961 unique ideals Fri Jan 13 21:16:01 2023 reduce to 22808431 relations and 22101222 ideals in 8 passes Fri Jan 13 21:16:01 2023 max relations containing the same ideal: 97 Fri Jan 13 21:16:09 2023 removing 1195787 relations and 923112 ideals in 272675 cliques Fri Jan 13 21:16:10 2023 commencing in-memory singleton removal Fri Jan 13 21:16:11 2023 begin with 21612644 relations and 22101222 unique ideals Fri Jan 13 21:16:19 2023 reduce to 21561857 relations and 21126690 ideals in 7 passes Fri Jan 13 21:16:19 2023 max relations containing the same ideal: 94 Fri Jan 13 21:16:30 2023 relations with 0 large ideals: 27886 Fri Jan 13 21:16:30 2023 relations with 1 large ideals: 6136 Fri Jan 13 21:16:30 2023 relations with 2 large ideals: 48799 Fri Jan 13 21:16:30 2023 relations with 3 large ideals: 358676 Fri Jan 13 21:16:30 2023 relations with 4 large ideals: 1459219 Fri Jan 13 21:16:30 2023 relations with 5 large ideals: 3553553 Fri Jan 13 21:16:30 2023 relations with 6 large ideals: 5425646 Fri Jan 13 21:16:30 2023 relations with 7+ large ideals: 10681942 Fri Jan 13 21:16:30 2023 commencing 2-way merge Fri Jan 13 21:16:39 2023 reduce to 14715867 relation sets and 14280700 unique ideals Fri Jan 13 21:16:39 2023 commencing full merge Fri Jan 13 21:21:22 2023 memory use: 1983.1 MB Fri Jan 13 21:21:23 2023 found 6739812 cycles, need 6722900 Fri Jan 13 21:21:25 2023 weight of 6722900 cycles is about 753365823 (112.06/cycle) Fri Jan 13 21:21:25 2023 distribution of cycle lengths: Fri Jan 13 21:21:25 2023 1 relations: 288109 Fri Jan 13 21:21:25 2023 2 relations: 405365 Fri Jan 13 21:21:25 2023 3 relations: 486324 Fri Jan 13 21:21:25 2023 4 relations: 512529 Fri Jan 13 21:21:25 2023 5 relations: 525411 Fri Jan 13 21:21:25 2023 6 relations: 516136 Fri Jan 13 21:21:25 2023 7 relations: 502289 Fri Jan 13 21:21:25 2023 8 relations: 474084 Fri Jan 13 21:21:25 2023 9 relations: 439907 Fri Jan 13 21:21:25 2023 10+ relations: 2572746 Fri Jan 13 21:21:25 2023 heaviest cycle: 28 relations Fri Jan 13 21:21:27 2023 commencing cycle optimization Fri Jan 13 21:21:37 2023 start with 58409288 relations Fri Jan 13 21:23:25 2023 pruned 2810871 relations Fri Jan 13 21:23:25 2023 memory use: 1502.9 MB Fri Jan 13 21:23:25 2023 distribution of cycle lengths: Fri Jan 13 21:23:25 2023 1 relations: 288109 Fri Jan 13 21:23:25 2023 2 relations: 415266 Fri Jan 13 21:23:25 2023 3 relations: 507431 Fri Jan 13 21:23:25 2023 4 relations: 534637 Fri Jan 13 21:23:25 2023 5 relations: 553270 Fri Jan 13 21:23:25 2023 6 relations: 542762 Fri Jan 13 21:23:25 2023 7 relations: 530004 Fri Jan 13 21:23:25 2023 8 relations: 497320 Fri Jan 13 21:23:25 2023 9 relations: 460104 Fri Jan 13 21:23:25 2023 10+ relations: 2393997 Fri Jan 13 21:23:25 2023 heaviest cycle: 28 relations Fri Jan 13 21:23:36 2023 RelProcTime: 2794 Fri Jan 13 21:23:36 2023 Fri Jan 13 21:23:36 2023 commencing linear algebra Fri Jan 13 21:23:36 2023 using VBITS=256 Fri Jan 13 21:23:36 2023 read 6722900 cycles Fri Jan 13 21:23:47 2023 cycles contain 21341431 unique relations Fri Jan 13 21:25:29 2023 read 21341431 relations Fri Jan 13 21:25:52 2023 using 20 quadratic characters above 4294917295 Fri Jan 13 21:27:15 2023 building initial matrix Fri Jan 13 21:31:14 2023 memory use: 2630.4 MB Fri Jan 13 21:31:16 2023 read 6722900 cycles Fri Jan 13 21:31:17 2023 matrix is 6722723 x 6722900 (2938.9 MB) with weight 832694506 (123.86/col) Fri Jan 13 21:31:17 2023 sparse part has weight 703179592 (104.59/col) Fri Jan 13 21:32:28 2023 filtering completed in 2 passes Fri Jan 13 21:32:29 2023 matrix is 6722641 x 6722803 (2938.9 MB) with weight 832692005 (123.86/col) Fri Jan 13 21:32:29 2023 sparse part has weight 703178893 (104.60/col) Fri Jan 13 21:32:45 2023 matrix starts at (0, 0) Fri Jan 13 21:32:46 2023 matrix is 6722641 x 6722803 (2938.9 MB) with weight 832692005 (123.86/col) Fri Jan 13 21:32:46 2023 sparse part has weight 703178893 (104.60/col) Fri Jan 13 21:32:46 2023 saving the first 240 matrix rows for later Fri Jan 13 21:32:47 2023 matrix includes 256 packed rows Fri Jan 13 21:32:50 2023 matrix is 6722401 x 6722803 (2715.4 MB) with weight 637442771 (94.82/col) Fri Jan 13 21:32:50 2023 sparse part has weight 604261484 (89.88/col) Fri Jan 13 21:32:50 2023 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Jan 13 21:32:50 2023 selected card has CUDA arch 8.6 Fri Jan 13 21:33:35 2023 Fri Jan 13 21:33:35 2023 Fri Jan 13 21:33:35 2023 Msieve v. 1.54 (SVN Unversioned directory) Fri Jan 13 21:33:35 2023 random seeds: 1e6a2fc1 b65b27cb Fri Jan 13 21:33:35 2023 factoring 251943473936349524429824719645801171879871075629863706099337222727952675907357797003119334717953058662784965723161909493627525235177002947762720953040656434295586846184817084414113907936620453354142150380700136686336877025267 (225 digits) Fri Jan 13 21:33:35 2023 no P-1/P+1/ECM available, skipping Fri Jan 13 21:33:35 2023 commencing number field sieve (225-digit input) Fri Jan 13 21:33:35 2023 R0: 1866997015934197116624538381960534481162 Fri Jan 13 21:33:35 2023 R1: -43208760870154528381 Fri Jan 13 21:33:35 2023 A0: -1 Fri Jan 13 21:33:35 2023 A1: 3 Fri Jan 13 21:33:35 2023 A2: 6 Fri Jan 13 21:33:35 2023 A3: -4 Fri Jan 13 21:33:35 2023 A4: -5 Fri Jan 13 21:33:35 2023 A5: 1 Fri Jan 13 21:33:35 2023 A6: 1 Fri Jan 13 21:33:35 2023 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.794e-13 rroots = 6 Fri Jan 13 21:33:35 2023 Fri Jan 13 21:33:35 2023 commencing linear algebra Fri Jan 13 21:33:35 2023 using VBITS=256 Fri Jan 13 21:33:35 2023 skipping matrix build Fri Jan 13 21:33:43 2023 matrix starts at (0, 0) Fri Jan 13 21:33:43 2023 matrix is 6722641 x 6722803 (2938.9 MB) with weight 832692005 (123.86/col) Fri Jan 13 21:33:43 2023 sparse part has weight 703178893 (104.60/col) Fri Jan 13 21:33:43 2023 saving the first 240 matrix rows for later Fri Jan 13 21:33:45 2023 matrix includes 256 packed rows Fri Jan 13 21:33:47 2023 matrix is 6722401 x 6722803 (2715.4 MB) with weight 637442771 (94.82/col) Fri Jan 13 21:33:47 2023 sparse part has weight 604261484 (89.88/col) Fri Jan 13 21:33:47 2023 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Jan 13 21:33:47 2023 selected card has CUDA arch 8.6 Fri Jan 13 21:34:17 2023 Fri Jan 13 21:34:17 2023 Fri Jan 13 21:34:17 2023 Msieve v. 1.54 (SVN Unversioned directory) Fri Jan 13 21:34:17 2023 random seeds: 7c988c16 ded7b43a Fri Jan 13 21:34:17 2023 factoring 251943473936349524429824719645801171879871075629863706099337222727952675907357797003119334717953058662784965723161909493627525235177002947762720953040656434295586846184817084414113907936620453354142150380700136686336877025267 (225 digits) Fri Jan 13 21:34:18 2023 no P-1/P+1/ECM available, skipping Fri Jan 13 21:34:18 2023 commencing number field sieve (225-digit input) Fri Jan 13 21:34:18 2023 R0: 1866997015934197116624538381960534481162 Fri Jan 13 21:34:18 2023 R1: -43208760870154528381 Fri Jan 13 21:34:18 2023 A0: -1 Fri Jan 13 21:34:18 2023 A1: 3 Fri Jan 13 21:34:18 2023 A2: 6 Fri Jan 13 21:34:18 2023 A3: -4 Fri Jan 13 21:34:18 2023 A4: -5 Fri Jan 13 21:34:18 2023 A5: 1 Fri Jan 13 21:34:18 2023 A6: 1 Fri Jan 13 21:34:18 2023 skew 1.00, size 1.357e-11, alpha 3.126, combined = 7.794e-13 rroots = 6 Fri Jan 13 21:34:18 2023 Fri Jan 13 21:34:18 2023 commencing linear algebra Fri Jan 13 21:34:18 2023 using VBITS=256 Fri Jan 13 21:34:18 2023 skipping matrix build Fri Jan 13 21:34:25 2023 matrix starts at (0, 0) Fri Jan 13 21:34:26 2023 matrix is 6722641 x 6722803 (2938.9 MB) with weight 832692005 (123.86/col) Fri Jan 13 21:34:26 2023 sparse part has weight 703178893 (104.60/col) Fri Jan 13 21:34:26 2023 saving the first 240 matrix rows for later Fri Jan 13 21:34:28 2023 matrix includes 256 packed rows Fri Jan 13 21:34:30 2023 matrix is 6722401 x 6722803 (2715.4 MB) with weight 637442771 (94.82/col) Fri Jan 13 21:34:30 2023 sparse part has weight 604261484 (89.88/col) Fri Jan 13 21:34:30 2023 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Jan 13 21:34:30 2023 selected card has CUDA arch 8.6 Fri Jan 13 21:35:05 2023 commencing Lanczos iteration Fri Jan 13 21:35:05 2023 memory use: 6354.0 MB Fri Jan 13 21:35:18 2023 linear algebra at 0.1%, ETA 2h55m Fri Jan 13 21:35:18 2023 checkpointing every 2380000 dimensions Sat Jan 14 00:30:50 2023 lanczos halted after 26339 iterations (dim = 6722399) Sat Jan 14 00:31:17 2023 recovered 34 nontrivial dependencies Sat Jan 14 00:31:18 2023 BLanczosTime: 10620 Sat Jan 14 00:31:18 2023 Sat Jan 14 00:31:18 2023 commencing square root phase Sat Jan 14 00:31:18 2023 handling dependencies 1 to 64 Sat Jan 14 00:31:18 2023 reading relations for dependency 1 Sat Jan 14 00:31:32 2023 read 3362679 cycles Sat Jan 14 00:31:37 2023 cycles contain 10672624 unique relations Sat Jan 14 00:32:35 2023 read 10672624 relations Sat Jan 14 00:33:09 2023 multiplying 10672624 relations Sat Jan 14 00:38:10 2023 multiply complete, coefficients have about 262.24 million bits Sat Jan 14 00:38:12 2023 initial square root is modulo 2575909447 Sat Jan 14 00:43:38 2023 GCD is 1, no factor found Sat Jan 14 00:43:38 2023 reading relations for dependency 2 Sat Jan 14 00:43:39 2023 read 3362405 cycles Sat Jan 14 00:43:45 2023 cycles contain 10675944 unique relations Sat Jan 14 00:44:42 2023 read 10675944 relations Sat Jan 14 00:45:19 2023 multiplying 10675944 relations Sat Jan 14 00:50:20 2023 multiply complete, coefficients have about 262.31 million bits Sat Jan 14 00:50:21 2023 initial square root is modulo 2590741667 Sat Jan 14 00:55:50 2023 found factor: 652572096543242381567906042630577464278910864608830142800781 Sat Jan 14 00:55:50 2023 reading relations for dependency 3 Sat Jan 14 00:55:51 2023 read 3361183 cycles Sat Jan 14 00:55:56 2023 cycles contain 10667594 unique relations Sat Jan 14 00:56:56 2023 read 10667594 relations Sat Jan 14 00:57:33 2023 multiplying 10667594 relations Sat Jan 14 01:02:35 2023 multiply complete, coefficients have about 262.10 million bits Sat Jan 14 01:02:36 2023 initial square root is modulo 2547677983 Sat Jan 14 01:08:11 2023 sqrtTime: 2213 Sat Jan 14 01:08:11 2023 p60 factor: 652572096543242381567906042630577464278910864608830142800781 Sat Jan 14 01:08:11 2023 p82 factor: 8656677910450752294740365401338019085589085360556778693518498237350110155987387849 Sat Jan 14 01:08:11 2023 p83 factor: 44598818596716864779195367622323760617537125948541650795640955635193663797581076743 Sat Jan 14 01:08:11 2023 elapsed time 03:33:54