Wed Oct 27 18:48:05 2021 Wed Oct 27 18:48:05 2021 Wed Oct 27 18:48:05 2021 Msieve v. 1.54 (SVN 1043M) Wed Oct 27 18:48:05 2021 random seeds: b3693d8b ddd550c1 Wed Oct 27 18:48:05 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits) Wed Oct 27 18:48:06 2021 searching for 15-digit factors Wed Oct 27 18:48:06 2021 commencing number field sieve (165-digit input) Wed Oct 27 18:48:06 2021 R0: -53060813340179023191719629612258 Wed Oct 27 18:48:06 2021 R1: 265493655314477309 Wed Oct 27 18:48:06 2021 A0: -1927426400517915689628901925085143115447 Wed Oct 27 18:48:06 2021 A1: 196624870527592519477331122405576 Wed Oct 27 18:48:06 2021 A2: 1303593268370469772330978023 Wed Oct 27 18:48:06 2021 A3: 156611506050084195684 Wed Oct 27 18:48:06 2021 A4: -39305564040676 Wed Oct 27 18:48:06 2021 A5: 307440 Wed Oct 27 18:48:06 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5 Wed Oct 27 18:48:06 2021 Wed Oct 27 18:48:06 2021 commencing relation filtering Wed Oct 27 18:48:06 2021 setting target matrix density to 140.0 Wed Oct 27 18:48:06 2021 estimated available RAM is 31368.2 MB Wed Oct 27 18:48:06 2021 commencing duplicate removal, pass 1 Wed Oct 27 19:06:56 2021 skipped 43 relations with composite factors Wed Oct 27 19:06:56 2021 found 29799148 hash collisions in 135037532 relations Wed Oct 27 19:07:25 2021 added 122078 free relations Wed Oct 27 19:07:25 2021 commencing duplicate removal, pass 2 Wed Oct 27 19:08:24 2021 found 30273146 duplicates and 104886464 unique relations Wed Oct 27 19:08:24 2021 memory use: 724.8 MB Wed Oct 27 19:08:24 2021 reading ideals above 720000 Wed Oct 27 19:08:24 2021 commencing singleton removal, initial pass Wed Oct 27 19:22:46 2021 memory use: 2756.0 MB Wed Oct 27 19:22:46 2021 reading all ideals from disk Wed Oct 27 19:22:48 2021 memory use: 3995.5 MB Wed Oct 27 19:23:01 2021 keeping 92119505 ideals with weight <= 200, target excess is 561498 Wed Oct 27 19:23:15 2021 commencing in-memory singleton removal Wed Oct 27 19:23:26 2021 begin with 104886464 relations and 92119505 unique ideals Wed Oct 27 19:25:03 2021 reduce to 72649568 relations and 56977441 ideals in 12 passes Wed Oct 27 19:25:03 2021 max relations containing the same ideal: 164 Wed Oct 27 19:25:41 2021 removing 8433814 relations and 6433814 ideals in 2000000 cliques Wed Oct 27 19:25:45 2021 commencing in-memory singleton removal Wed Oct 27 19:25:51 2021 begin with 64215754 relations and 56977441 unique ideals Wed Oct 27 19:26:34 2021 reduce to 63477371 relations and 49780530 ideals in 7 passes Wed Oct 27 19:26:34 2021 max relations containing the same ideal: 154 Wed Oct 27 19:27:05 2021 removing 6661804 relations and 4661804 ideals in 2000000 cliques Wed Oct 27 19:27:08 2021 commencing in-memory singleton removal Wed Oct 27 19:27:13 2021 begin with 56815567 relations and 49780530 unique ideals Wed Oct 27 19:27:52 2021 reduce to 56300225 relations and 44587551 ideals in 7 passes Wed Oct 27 19:27:52 2021 max relations containing the same ideal: 141 Wed Oct 27 19:28:19 2021 removing 6182680 relations and 4182680 ideals in 2000000 cliques Wed Oct 27 19:28:23 2021 commencing in-memory singleton removal Wed Oct 27 19:28:27 2021 begin with 50117545 relations and 44587551 unique ideals Wed Oct 27 19:29:02 2021 reduce to 49655213 relations and 39927624 ideals in 7 passes Wed Oct 27 19:29:02 2021 max relations containing the same ideal: 128 Wed Oct 27 19:29:27 2021 removing 5933818 relations and 3933818 ideals in 2000000 cliques Wed Oct 27 19:29:30 2021 commencing in-memory singleton removal Wed Oct 27 19:29:34 2021 begin with 43721395 relations and 39927624 unique ideals Wed Oct 27 19:30:03 2021 reduce to 43269157 relations and 35525674 ideals in 7 passes Wed Oct 27 19:30:03 2021 max relations containing the same ideal: 121 Wed Oct 27 19:30:24 2021 removing 5775014 relations and 3775014 ideals in 2000000 cliques Wed Oct 27 19:30:27 2021 commencing in-memory singleton removal Wed Oct 27 19:30:30 2021 begin with 37494143 relations and 35525674 unique ideals Wed Oct 27 19:30:54 2021 reduce to 37029453 relations and 31267702 ideals in 7 passes Wed Oct 27 19:30:54 2021 max relations containing the same ideal: 108 Wed Oct 27 19:31:12 2021 removing 5660226 relations and 3660226 ideals in 2000000 cliques Wed Oct 27 19:31:15 2021 commencing in-memory singleton removal Wed Oct 27 19:31:17 2021 begin with 31369227 relations and 31267702 unique ideals Wed Oct 27 19:31:40 2021 reduce to 30865084 relations and 27080526 ideals in 8 passes Wed Oct 27 19:31:40 2021 max relations containing the same ideal: 93 Wed Oct 27 19:31:55 2021 removing 5587582 relations and 3587582 ideals in 2000000 cliques Wed Oct 27 19:31:57 2021 commencing in-memory singleton removal Wed Oct 27 19:31:59 2021 begin with 25277502 relations and 27080526 unique ideals Wed Oct 27 19:32:14 2021 reduce to 24684953 relations and 22868572 ideals in 7 passes Wed Oct 27 19:32:14 2021 max relations containing the same ideal: 85 Wed Oct 27 19:32:26 2021 removing 3559582 relations and 2394539 ideals in 1165043 cliques Wed Oct 27 19:32:28 2021 commencing in-memory singleton removal Wed Oct 27 19:32:29 2021 begin with 21125371 relations and 22868572 unique ideals Wed Oct 27 19:32:43 2021 reduce to 20774700 relations and 20108618 ideals in 8 passes Wed Oct 27 19:32:43 2021 max relations containing the same ideal: 77 Wed Oct 27 19:32:53 2021 removing 89944 relations and 75200 ideals in 14744 cliques Wed Oct 27 19:32:55 2021 commencing in-memory singleton removal Wed Oct 27 19:32:56 2021 begin with 20684756 relations and 20108618 unique ideals Wed Oct 27 19:33:04 2021 reduce to 20684467 relations and 20033129 ideals in 5 passes Wed Oct 27 19:33:04 2021 max relations containing the same ideal: 77 Wed Oct 27 19:33:08 2021 relations with 0 large ideals: 1823 Wed Oct 27 19:33:08 2021 relations with 1 large ideals: 10650 Wed Oct 27 19:33:08 2021 relations with 2 large ideals: 142358 Wed Oct 27 19:33:08 2021 relations with 3 large ideals: 845372 Wed Oct 27 19:33:08 2021 relations with 4 large ideals: 2654728 Wed Oct 27 19:33:08 2021 relations with 5 large ideals: 4899739 Wed Oct 27 19:33:08 2021 relations with 6 large ideals: 5651255 Wed Oct 27 19:33:08 2021 relations with 7+ large ideals: 6478542 Wed Oct 27 19:33:08 2021 commencing 2-way merge Wed Oct 27 19:33:23 2021 reduce to 14292891 relation sets and 13641553 unique ideals Wed Oct 27 19:33:23 2021 commencing full merge Wed Oct 27 19:39:07 2021 memory use: 1702.6 MB Wed Oct 27 19:39:09 2021 found 6076833 cycles, need 6073753 Wed Oct 27 19:39:11 2021 weight of 6073753 cycles is about 850539273 (140.04/cycle) Wed Oct 27 19:39:12 2021 distribution of cycle lengths: Wed Oct 27 19:39:12 2021 1 relations: 104678 Wed Oct 27 19:39:12 2021 2 relations: 255801 Wed Oct 27 19:39:12 2021 3 relations: 343932 Wed Oct 27 19:39:12 2021 4 relations: 383495 Wed Oct 27 19:39:12 2021 5 relations: 418491 Wed Oct 27 19:39:12 2021 6 relations: 429068 Wed Oct 27 19:39:12 2021 7 relations: 437505 Wed Oct 27 19:39:12 2021 8 relations: 425116 Wed Oct 27 19:39:12 2021 9 relations: 410176 Wed Oct 27 19:39:12 2021 10+ relations: 2865491 Wed Oct 27 19:39:12 2021 heaviest cycle: 28 relations Wed Oct 27 19:39:14 2021 commencing cycle optimization Wed Oct 27 19:39:30 2021 start with 60734415 relations Wed Oct 27 19:42:18 2021 pruned 3626405 relations Wed Oct 27 19:42:18 2021 memory use: 1481.3 MB Wed Oct 27 19:42:18 2021 distribution of cycle lengths: Wed Oct 27 19:42:18 2021 1 relations: 104678 Wed Oct 27 19:42:18 2021 2 relations: 264847 Wed Oct 27 19:42:18 2021 3 relations: 361847 Wed Oct 27 19:42:18 2021 4 relations: 405053 Wed Oct 27 19:42:18 2021 5 relations: 446301 Wed Oct 27 19:42:18 2021 6 relations: 459477 Wed Oct 27 19:42:18 2021 7 relations: 469587 Wed Oct 27 19:42:18 2021 8 relations: 455277 Wed Oct 27 19:42:18 2021 9 relations: 439252 Wed Oct 27 19:42:18 2021 10+ relations: 2667434 Wed Oct 27 19:42:18 2021 heaviest cycle: 28 relations Wed Oct 27 19:42:33 2021 RelProcTime: 3267 Wed Oct 27 19:42:33 2021 elapsed time 00:54:28 Wed Oct 27 19:56:21 2021 Wed Oct 27 19:56:21 2021 Wed Oct 27 19:56:21 2021 Msieve v. 1.54 (SVN 1043M) Wed Oct 27 19:56:21 2021 random seeds: 8e8c2386 5d366ae0 Wed Oct 27 19:56:21 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits) Wed Oct 27 19:56:22 2021 searching for 15-digit factors Wed Oct 27 19:56:22 2021 commencing number field sieve (165-digit input) Wed Oct 27 19:56:22 2021 R0: -53060813340179023191719629612258 Wed Oct 27 19:56:22 2021 R1: 265493655314477309 Wed Oct 27 19:56:22 2021 A0: -1927426400517915689628901925085143115447 Wed Oct 27 19:56:22 2021 A1: 196624870527592519477331122405576 Wed Oct 27 19:56:22 2021 A2: 1303593268370469772330978023 Wed Oct 27 19:56:22 2021 A3: 156611506050084195684 Wed Oct 27 19:56:22 2021 A4: -39305564040676 Wed Oct 27 19:56:22 2021 A5: 307440 Wed Oct 27 19:56:22 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5 Wed Oct 27 19:56:22 2021 Wed Oct 27 19:56:22 2021 commencing linear algebra Wed Oct 27 19:56:23 2021 read 6073753 cycles Wed Oct 27 19:56:40 2021 cycles contain 20380732 unique relations Wed Oct 27 19:58:30 2021 read 20380732 relations Wed Oct 27 19:59:09 2021 using 20 quadratic characters above 4294917295 Wed Oct 27 20:00:54 2021 building initial matrix Wed Oct 27 20:07:00 2021 memory use: 2880.9 MB Wed Oct 27 20:07:04 2021 read 6073753 cycles Wed Oct 27 20:07:05 2021 matrix is 6073575 x 6073753 (3220.7 MB) with weight 981095347 (161.53/col) Wed Oct 27 20:07:05 2021 sparse part has weight 771392185 (127.00/col) Wed Oct 27 20:08:29 2021 filtering completed in 2 passes Wed Oct 27 20:08:30 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col) Wed Oct 27 20:08:30 2021 sparse part has weight 771391781 (127.00/col) Wed Oct 27 20:08:54 2021 matrix starts at (0, 0) Wed Oct 27 20:08:55 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col) Wed Oct 27 20:08:55 2021 sparse part has weight 771391781 (127.00/col) Wed Oct 27 20:08:55 2021 saving the first 48 matrix rows for later Wed Oct 27 20:08:56 2021 matrix includes 64 packed rows Wed Oct 27 20:08:57 2021 matrix is 6073493 x 6073719 (3144.4 MB) with weight 853905329 (140.59/col) Wed Oct 27 20:08:57 2021 sparse part has weight 763551771 (125.71/col) Wed Oct 27 20:08:57 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Wed Oct 27 20:09:22 2021 commencing Lanczos iteration (4 threads) Wed Oct 27 20:09:22 2021 memory use: 2905.8 MB Wed Oct 27 20:09:43 2021 linear algebra at 0.0%, ETA 22h11m Wed Oct 27 20:09:50 2021 checkpointing every 270000 dimensions Wed Oct 27 20:11:27 2021 lanczos halted after 129 iterations (dim = 8151) Wed Oct 27 20:11:28 2021 BLanczosTime: 906 Wed Oct 27 20:11:28 2021 elapsed time 00:15:07 Thu Oct 28 11:14:38 2021 Thu Oct 28 11:14:38 2021 Thu Oct 28 11:14:38 2021 Msieve v. 1.54 (SVN unknown) Thu Oct 28 11:14:38 2021 random seeds: daeb8ed9 e0416855 Thu Oct 28 11:14:38 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits) Thu Oct 28 11:14:38 2021 no P-1/P+1/ECM available, skipping Thu Oct 28 11:14:38 2021 commencing number field sieve (165-digit input) Thu Oct 28 11:14:38 2021 R0: -53060813340179023191719629612258 Thu Oct 28 11:14:38 2021 R1: 265493655314477309 Thu Oct 28 11:14:38 2021 A0: -1927426400517915689628901925085143115447 Thu Oct 28 11:14:38 2021 A1: 196624870527592519477331122405576 Thu Oct 28 11:14:38 2021 A2: 1303593268370469772330978023 Thu Oct 28 11:14:38 2021 A3: 156611506050084195684 Thu Oct 28 11:14:38 2021 A4: -39305564040676 Thu Oct 28 11:14:38 2021 A5: 307440 Thu Oct 28 11:14:38 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5 Thu Oct 28 11:14:38 2021 Thu Oct 28 11:14:38 2021 commencing linear algebra Thu Oct 28 11:14:38 2021 using VBITS=128 Thu Oct 28 11:14:38 2021 skipping matrix build Thu Oct 28 11:14:41 2021 matrix starts at (0, 0) Thu Oct 28 11:14:43 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col) Thu Oct 28 11:14:43 2021 sparse part has weight 771391781 (127.00/col) Thu Oct 28 11:14:43 2021 saving the first 112 matrix rows for later Thu Oct 28 11:14:44 2021 matrix includes 128 packed rows Thu Oct 28 11:14:46 2021 matrix is 6073429 x 6073719 (2961.9 MB) with weight 763551771 (125.71/col) Thu Oct 28 11:14:46 2021 sparse part has weight 703546580 (115.83/col) Thu Oct 28 11:14:46 2021 using GPU 0 (Tesla P100-PCIE-16GB) Thu Oct 28 11:14:46 2021 selected card has CUDA arch 6.0 Thu Oct 28 11:16:43 2021 Thu Oct 28 11:16:43 2021 Thu Oct 28 11:16:43 2021 Msieve v. 1.54 (SVN unknown) Thu Oct 28 11:16:43 2021 random seeds: d8e5d5e6 acc9856a Thu Oct 28 11:16:43 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits) Thu Oct 28 11:16:44 2021 no P-1/P+1/ECM available, skipping Thu Oct 28 11:16:44 2021 commencing number field sieve (165-digit input) Thu Oct 28 11:16:44 2021 R0: -53060813340179023191719629612258 Thu Oct 28 11:16:44 2021 R1: 265493655314477309 Thu Oct 28 11:16:44 2021 A0: -1927426400517915689628901925085143115447 Thu Oct 28 11:16:44 2021 A1: 196624870527592519477331122405576 Thu Oct 28 11:16:44 2021 A2: 1303593268370469772330978023 Thu Oct 28 11:16:44 2021 A3: 156611506050084195684 Thu Oct 28 11:16:44 2021 A4: -39305564040676 Thu Oct 28 11:16:44 2021 A5: 307440 Thu Oct 28 11:16:44 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5 Thu Oct 28 11:16:44 2021 Thu Oct 28 11:16:44 2021 commencing linear algebra Thu Oct 28 11:16:44 2021 using VBITS=128 Thu Oct 28 11:16:44 2021 skipping matrix build Thu Oct 28 11:17:08 2021 matrix starts at (0, 0) Thu Oct 28 11:17:10 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col) Thu Oct 28 11:17:10 2021 sparse part has weight 771391781 (127.00/col) Thu Oct 28 11:17:10 2021 saving the first 112 matrix rows for later Thu Oct 28 11:17:11 2021 matrix includes 128 packed rows Thu Oct 28 11:17:13 2021 matrix is 6073429 x 6073719 (2961.9 MB) with weight 763551771 (125.71/col) Thu Oct 28 11:17:13 2021 sparse part has weight 703546580 (115.83/col) Thu Oct 28 11:17:14 2021 using GPU 0 (Tesla P100-PCIE-16GB) Thu Oct 28 11:17:14 2021 selected card has CUDA arch 6.0 Thu Oct 28 11:18:41 2021 commencing Lanczos iteration Thu Oct 28 11:18:41 2021 memory use: 6201.7 MB Thu Oct 28 11:18:45 2021 linear algebra at 0.0%, ETA 3h18m Thu Oct 28 11:18:46 2021 checkpointing every 1840000 dimensions Thu Oct 28 14:50:31 2021 lanczos halted after 47737 iterations (dim = 6073427) Thu Oct 28 14:50:45 2021 recovered 31 nontrivial dependencies Thu Oct 28 14:50:45 2021 BLanczosTime: 12841 Thu Oct 28 14:50:45 2021 elapsed time 03:34:02 Thu Oct 28 14:56:17 2021 Thu Oct 28 14:56:17 2021 Thu Oct 28 14:56:17 2021 Msieve v. 1.54 (SVN 1043M) Thu Oct 28 14:56:17 2021 random seeds: 2bbbd2b2 081b45ad Thu Oct 28 14:56:17 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits) Thu Oct 28 14:56:18 2021 searching for 15-digit factors Thu Oct 28 14:56:18 2021 commencing number field sieve (165-digit input) Thu Oct 28 14:56:18 2021 R0: -53060813340179023191719629612258 Thu Oct 28 14:56:18 2021 R1: 265493655314477309 Thu Oct 28 14:56:18 2021 A0: -1927426400517915689628901925085143115447 Thu Oct 28 14:56:18 2021 A1: 196624870527592519477331122405576 Thu Oct 28 14:56:18 2021 A2: 1303593268370469772330978023 Thu Oct 28 14:56:18 2021 A3: 156611506050084195684 Thu Oct 28 14:56:18 2021 A4: -39305564040676 Thu Oct 28 14:56:18 2021 A5: 307440 Thu Oct 28 14:56:18 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5 Thu Oct 28 14:56:18 2021 Thu Oct 28 14:56:18 2021 commencing square root phase Thu Oct 28 14:56:18 2021 reading relations for dependency 1 Thu Oct 28 14:56:38 2021 read 3036320 cycles Thu Oct 28 14:56:46 2021 cycles contain 10190130 unique relations Thu Oct 28 15:13:10 2021 read 10190130 relations Thu Oct 28 15:14:12 2021 multiplying 10190130 relations Thu Oct 28 15:25:24 2021 multiply complete, coefficients have about 587.32 million bits Thu Oct 28 15:25:27 2021 initial square root is modulo 185873 Thu Oct 28 15:39:12 2021 sqrtTime: 2574 Thu Oct 28 15:39:12 2021 p66 factor: 583567954095869895789975622656774149259222842804843371394808831451 Thu Oct 28 15:39:12 2021 p99 factor: 221583884884470905511407950807790244164070541361443722777093191249986909593088161216065980098067427 Thu Oct 28 15:39:12 2021 elapsed time 00:42:55