Thu Aug 6 13:35:02 2026 Thu Aug 6 13:35:02 2026 Thu Aug 6 13:35:02 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 6 13:35:02 2026 random seeds: 8b46e6c7 8b66eeca Thu Aug 6 13:35:02 2026 MPI process 0 of 1 Thu Aug 6 13:35:02 2026 Using 32 OpenMP threads Thu Aug 6 13:35:02 2026 factoring 9332155691110308259490586933413492572915617151444607857312814696279090599433845438050987762954288165005475999396234499030052809359915534126886949077894165665796570519 (166 digits) Thu Aug 6 13:35:03 2026 searching for 15-digit factors Thu Aug 6 13:35:03 2026 commencing number field sieve (166-digit input) Thu Aug 6 13:35:03 2026 reversing signs of algebraic polynomial Thu Aug 6 13:35:03 2026 R0: 104013026641560147449358684634034 Thu Aug 6 13:35:03 2026 R1: 14061341503401335033879651 Thu Aug 6 13:35:03 2026 A0: 14496548282630090726738655795273138990660 Thu Aug 6 13:35:03 2026 A1: 4582119400360336924970151659010601 Thu Aug 6 13:35:03 2026 A2: -1941928479717529250520629358 Thu Aug 6 13:35:03 2026 A3: -395017042238291982493 Thu Aug 6 13:35:03 2026 A4: 26895427724454 Thu Aug 6 13:35:03 2026 A5: 582120 Thu Aug 6 13:35:03 2026 skew 6281786.06, size 3.815e-16, alpha -8.159, combined = 6.427e-13 rroots = 5 Thu Aug 6 13:35:03 2026 Thu Aug 6 13:35:03 2026 commencing relation filtering Thu Aug 6 13:35:03 2026 setting target matrix density to 120.0 Thu Aug 6 13:35:03 2026 reversing signs of algebraic polynomial Thu Aug 6 13:35:03 2026 estimated available RAM is 257736.5 MB Thu Aug 6 13:35:03 2026 commencing duplicate removal, pass 1 Thu Aug 6 13:35:47 2026 error -1 reading relation 18242369 Thu Aug 6 13:35:54 2026 error -1 reading relation 21245261 Thu Aug 6 13:36:33 2026 error -1 reading relation 37525977 Thu Aug 6 13:36:56 2026 error -1 reading relation 51796466 Thu Aug 6 13:37:15 2026 error -1 reading relation 64526468 Thu Aug 6 13:37:27 2026 error -1 reading relation 71835117 Thu Aug 6 13:38:10 2026 error -1 reading relation 88783539 Thu Aug 6 13:38:44 2026 error -1 reading relation 103112804 Thu Aug 6 13:39:49 2026 skipped 56 malformed relations Thu Aug 6 13:39:49 2026 found 23665111 hash collisions in 126886901 relations Thu Aug 6 13:40:19 2026 added 121792 free relations Thu Aug 6 13:40:19 2026 commencing duplicate removal, pass 2 Thu Aug 6 13:44:06 2026 found 22211740 duplicates and 104796953 unique relations Thu Aug 6 13:44:06 2026 memory use: 724.8 MB Thu Aug 6 13:44:06 2026 reading ideals above 720000 Thu Aug 6 13:44:06 2026 commencing singleton removal, initial pass Thu Aug 6 13:54:29 2026 memory use: 3012.0 MB Thu Aug 6 13:54:29 2026 reading all ideals from disk Thu Aug 6 13:54:32 2026 memory use: 4775.5 MB Thu Aug 6 13:54:48 2026 keeping 112849591 ideals with weight <= 200, target excess is 562316 Thu Aug 6 13:55:06 2026 commencing in-memory singleton removal Thu Aug 6 13:55:08 2026 begin with 104796953 relations and 112849591 unique ideals Thu Aug 6 13:55:19 2026 reduce to 42365884 relations and 40804363 ideals in 23 passes Thu Aug 6 13:55:19 2026 max relations containing the same ideal: 115 Thu Aug 6 13:55:38 2026 removing 4160652 relations and 3760652 ideals in 400000 cliques Thu Aug 6 13:55:40 2026 commencing in-memory singleton removal Thu Aug 6 13:55:40 2026 begin with 38205232 relations and 40804363 unique ideals Thu Aug 6 13:55:43 2026 reduce to 37886262 relations and 36720478 ideals in 12 passes Thu Aug 6 13:55:43 2026 max relations containing the same ideal: 104 Thu Aug 6 13:56:00 2026 removing 3048461 relations and 2648461 ideals in 400000 cliques Thu Aug 6 13:56:01 2026 commencing in-memory singleton removal Thu Aug 6 13:56:02 2026 begin with 34837801 relations and 36720478 unique ideals Thu Aug 6 13:56:03 2026 reduce to 34644233 relations and 33876363 ideals in 8 passes Thu Aug 6 13:56:03 2026 max relations containing the same ideal: 99 Thu Aug 6 13:56:16 2026 removing 980547 relations and 864964 ideals in 115583 cliques Thu Aug 6 13:56:17 2026 commencing in-memory singleton removal Thu Aug 6 13:56:17 2026 begin with 33663686 relations and 33876363 unique ideals Thu Aug 6 13:56:19 2026 reduce to 33643669 relations and 32991306 ideals in 7 passes Thu Aug 6 13:56:19 2026 max relations containing the same ideal: 98 Thu Aug 6 13:56:23 2026 relations with 0 large ideals: 1857 Thu Aug 6 13:56:23 2026 relations with 1 large ideals: 7871 Thu Aug 6 13:56:23 2026 relations with 2 large ideals: 121103 Thu Aug 6 13:56:23 2026 relations with 3 large ideals: 843201 Thu Aug 6 13:56:23 2026 relations with 4 large ideals: 3173373 Thu Aug 6 13:56:23 2026 relations with 5 large ideals: 7026364 Thu Aug 6 13:56:23 2026 relations with 6 large ideals: 9475925 Thu Aug 6 13:56:23 2026 relations with 7+ large ideals: 12993975 Thu Aug 6 13:56:23 2026 commencing 2-way merge Thu Aug 6 13:56:47 2026 reduce to 19689656 relation sets and 19037293 unique ideals Thu Aug 6 13:56:47 2026 commencing full merge Thu Aug 6 14:22:08 2026 memory use: 884.4 MB Thu Aug 6 14:22:08 2026 found 68200 cycles, need 4257516 Thu Aug 6 14:22:08 2026 too few cycles, matrix probably cannot build Thu Aug 6 14:22:08 2026 filtering wants 1000000 more relations Thu Aug 6 14:22:08 2026 elapsed time 00:47:06 Fri Aug 7 00:27:55 2026 Fri Aug 7 00:27:55 2026 Fri Aug 7 00:27:55 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 7 00:27:55 2026 random seeds: 4d71a36a 65664b92 Fri Aug 7 00:27:55 2026 MPI process 0 of 1 Fri Aug 7 00:27:55 2026 Using 32 OpenMP threads Fri Aug 7 00:27:55 2026 factoring 9332155691110308259490586933413492572915617151444607857312814696279090599433845438050987762954288165005475999396234499030052809359915534126886949077894165665796570519 (166 digits) Fri Aug 7 00:27:56 2026 searching for 15-digit factors Fri Aug 7 00:27:56 2026 commencing number field sieve (166-digit input) Fri Aug 7 00:27:56 2026 reversing signs of algebraic polynomial Fri Aug 7 00:27:56 2026 R0: 104013026641560147449358684634034 Fri Aug 7 00:27:56 2026 R1: 14061341503401335033879651 Fri Aug 7 00:27:56 2026 A0: 14496548282630090726738655795273138990660 Fri Aug 7 00:27:56 2026 A1: 4582119400360336924970151659010601 Fri Aug 7 00:27:56 2026 A2: -1941928479717529250520629358 Fri Aug 7 00:27:56 2026 A3: -395017042238291982493 Fri Aug 7 00:27:56 2026 A4: 26895427724454 Fri Aug 7 00:27:56 2026 A5: 582120 Fri Aug 7 00:27:56 2026 skew 6281786.06, size 3.815e-16, alpha -8.159, combined = 6.427e-13 rroots = 5 Fri Aug 7 00:27:56 2026 Fri Aug 7 00:27:56 2026 commencing relation filtering Fri Aug 7 00:27:56 2026 setting target matrix density to 120.0 Fri Aug 7 00:27:56 2026 reversing signs of algebraic polynomial Fri Aug 7 00:27:56 2026 estimated available RAM is 257736.5 MB Fri Aug 7 00:27:56 2026 commencing duplicate removal, pass 1 Fri Aug 7 00:28:43 2026 error -1 reading relation 18242369 Fri Aug 7 00:28:51 2026 error -1 reading relation 21245261 Fri Aug 7 00:29:34 2026 error -1 reading relation 37525977 Fri Aug 7 00:30:12 2026 error -1 reading relation 51796466 Fri Aug 7 00:30:46 2026 error -1 reading relation 64526468 Fri Aug 7 00:31:05 2026 error -1 reading relation 71835117 Fri Aug 7 00:31:48 2026 error -1 reading relation 88783539 Fri Aug 7 00:32:26 2026 error -1 reading relation 103112804 Fri Aug 7 00:33:39 2026 skipped 61 malformed relations Fri Aug 7 00:33:39 2026 found 24483073 hash collisions in 129698599 relations Fri Aug 7 00:34:10 2026 added 121792 free relations Fri Aug 7 00:34:10 2026 commencing duplicate removal, pass 2 Fri Aug 7 00:37:40 2026 found 23023789 duplicates and 106796602 unique relations Fri Aug 7 00:37:40 2026 memory use: 724.8 MB Fri Aug 7 00:37:40 2026 reading ideals above 720000 Fri Aug 7 00:37:40 2026 commencing singleton removal, initial pass Fri Aug 7 00:48:50 2026 memory use: 3012.0 MB Fri Aug 7 00:48:51 2026 reading all ideals from disk Fri Aug 7 00:48:54 2026 memory use: 4867.3 MB Fri Aug 7 00:49:15 2026 keeping 113710135 ideals with weight <= 200, target excess is 573666 Fri Aug 7 00:49:41 2026 commencing in-memory singleton removal Fri Aug 7 00:49:44 2026 begin with 106796602 relations and 113710135 unique ideals Fri Aug 7 00:49:53 2026 reduce to 45038861 relations and 42699571 ideals in 20 passes Fri Aug 7 00:49:53 2026 max relations containing the same ideal: 120 Fri Aug 7 00:50:28 2026 removing 4053632 relations and 3653632 ideals in 400000 cliques Fri Aug 7 00:50:30 2026 commencing in-memory singleton removal Fri Aug 7 00:50:31 2026 begin with 40985229 relations and 42699571 unique ideals Fri Aug 7 00:50:33 2026 reduce to 40708127 relations and 38765369 ideals in 10 passes Fri Aug 7 00:50:33 2026 max relations containing the same ideal: 110 Fri Aug 7 00:51:04 2026 removing 2968716 relations and 2568716 ideals in 400000 cliques Fri Aug 7 00:51:06 2026 commencing in-memory singleton removal Fri Aug 7 00:51:06 2026 begin with 37739411 relations and 38765369 unique ideals Fri Aug 7 00:51:09 2026 reduce to 37571173 relations and 36026662 ideals in 10 passes Fri Aug 7 00:51:09 2026 max relations containing the same ideal: 105 Fri Aug 7 00:51:37 2026 removing 2625137 relations and 2225137 ideals in 400000 cliques Fri Aug 7 00:51:39 2026 commencing in-memory singleton removal Fri Aug 7 00:51:39 2026 begin with 34946036 relations and 36026662 unique ideals Fri Aug 7 00:51:42 2026 reduce to 34804745 relations and 33658769 ideals in 10 passes Fri Aug 7 00:51:42 2026 max relations containing the same ideal: 99 Fri Aug 7 00:52:07 2026 removing 2437983 relations and 2037983 ideals in 400000 cliques Fri Aug 7 00:52:09 2026 commencing in-memory singleton removal Fri Aug 7 00:52:09 2026 begin with 32366762 relations and 33658769 unique ideals Fri Aug 7 00:52:12 2026 reduce to 32237379 relations and 31489997 ideals in 9 passes Fri Aug 7 00:52:12 2026 max relations containing the same ideal: 92 Fri Aug 7 00:52:35 2026 removing 630420 relations and 548491 ideals in 81929 cliques Fri Aug 7 00:52:36 2026 commencing in-memory singleton removal Fri Aug 7 00:52:37 2026 begin with 31606959 relations and 31489997 unique ideals Fri Aug 7 00:52:39 2026 reduce to 31598395 relations and 30932915 ideals in 6 passes Fri Aug 7 00:52:39 2026 max relations containing the same ideal: 92 Fri Aug 7 00:52:44 2026 relations with 0 large ideals: 1899 Fri Aug 7 00:52:44 2026 relations with 1 large ideals: 8461 Fri Aug 7 00:52:44 2026 relations with 2 large ideals: 127583 Fri Aug 7 00:52:44 2026 relations with 3 large ideals: 866105 Fri Aug 7 00:52:44 2026 relations with 4 large ideals: 3164893 Fri Aug 7 00:52:44 2026 relations with 5 large ideals: 6790259 Fri Aug 7 00:52:44 2026 relations with 6 large ideals: 8892667 Fri Aug 7 00:52:44 2026 relations with 7+ large ideals: 11746528 Fri Aug 7 00:52:44 2026 commencing 2-way merge Fri Aug 7 00:53:18 2026 reduce to 18836529 relation sets and 18171049 unique ideals Fri Aug 7 00:53:18 2026 commencing full merge Fri Aug 7 01:16:40 2026 memory use: 843.9 MB Fri Aug 7 01:16:40 2026 found 49375 cycles, need 4089866 Fri Aug 7 01:16:40 2026 too few cycles, matrix probably cannot build Fri Aug 7 01:16:40 2026 filtering wants 1000000 more relations Fri Aug 7 01:16:40 2026 elapsed time 00:48:45 Fri Aug 7 09:36:38 2026 Fri Aug 7 09:36:38 2026 Fri Aug 7 09:36:38 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 7 09:36:38 2026 random seeds: 21d7a172 1a048b1c Fri Aug 7 09:36:38 2026 MPI process 0 of 1 Fri Aug 7 09:36:38 2026 Using 32 OpenMP threads Fri Aug 7 09:36:38 2026 factoring 9332155691110308259490586933413492572915617151444607857312814696279090599433845438050987762954288165005475999396234499030052809359915534126886949077894165665796570519 (166 digits) Fri Aug 7 09:36:39 2026 searching for 15-digit factors Fri Aug 7 09:36:40 2026 commencing number field sieve (166-digit input) Fri Aug 7 09:36:40 2026 reversing signs of algebraic polynomial Fri Aug 7 09:36:40 2026 R0: 104013026641560147449358684634034 Fri Aug 7 09:36:40 2026 R1: 14061341503401335033879651 Fri Aug 7 09:36:40 2026 A0: 14496548282630090726738655795273138990660 Fri Aug 7 09:36:40 2026 A1: 4582119400360336924970151659010601 Fri Aug 7 09:36:40 2026 A2: -1941928479717529250520629358 Fri Aug 7 09:36:40 2026 A3: -395017042238291982493 Fri Aug 7 09:36:40 2026 A4: 26895427724454 Fri Aug 7 09:36:40 2026 A5: 582120 Fri Aug 7 09:36:40 2026 skew 6281786.06, size 3.815e-16, alpha -8.159, combined = 6.427e-13 rroots = 5 Fri Aug 7 09:36:40 2026 Fri Aug 7 09:36:40 2026 commencing relation filtering Fri Aug 7 09:36:40 2026 setting target matrix density to 120.0 Fri Aug 7 09:36:40 2026 reversing signs of algebraic polynomial Fri Aug 7 09:36:40 2026 estimated available RAM is 257736.5 MB Fri Aug 7 09:36:40 2026 commencing duplicate removal, pass 1 Fri Aug 7 09:37:35 2026 error -1 reading relation 18242369 Fri Aug 7 09:37:43 2026 error -1 reading relation 21245261 Fri Aug 7 09:38:31 2026 error -1 reading relation 37525977 Fri Aug 7 09:39:12 2026 error -1 reading relation 51796466 Fri Aug 7 09:39:49 2026 error -1 reading relation 64526468 Fri Aug 7 09:40:10 2026 error -1 reading relation 71835117 Fri Aug 7 09:41:01 2026 error -1 reading relation 88783539 Fri Aug 7 09:41:45 2026 error -1 reading relation 103112804 Fri Aug 7 09:43:14 2026 skipped 63 malformed relations Fri Aug 7 09:43:14 2026 found 24766812 hash collisions in 130565214 relations Fri Aug 7 09:43:58 2026 added 121792 free relations Fri Aug 7 09:43:58 2026 commencing duplicate removal, pass 2 Fri Aug 7 09:50:04 2026 found 23340811 duplicates and 107346195 unique relations Fri Aug 7 09:50:04 2026 memory use: 724.8 MB Fri Aug 7 09:50:05 2026 reading ideals above 720000 Fri Aug 7 09:50:05 2026 commencing singleton removal, initial pass Fri Aug 7 10:07:20 2026 memory use: 3012.0 MB Fri Aug 7 10:07:21 2026 reading all ideals from disk Fri Aug 7 10:07:26 2026 memory use: 4892.5 MB Fri Aug 7 10:08:00 2026 keeping 113944419 ideals with weight <= 200, target excess is 576792 Fri Aug 7 10:08:40 2026 commencing in-memory singleton removal Fri Aug 7 10:08:43 2026 begin with 107346195 relations and 113944419 unique ideals Fri Aug 7 10:08:54 2026 reduce to 45771838 relations and 43213835 ideals in 20 passes Fri Aug 7 10:08:54 2026 max relations containing the same ideal: 119 Fri Aug 7 10:09:51 2026 removing 4024206 relations and 3624206 ideals in 400000 cliques Fri Aug 7 10:09:54 2026 commencing in-memory singleton removal Fri Aug 7 10:09:55 2026 begin with 41747632 relations and 43213835 unique ideals Fri Aug 7 10:09:59 2026 reduce to 41480537 relations and 39319260 ideals in 10 passes Fri Aug 7 10:09:59 2026 max relations containing the same ideal: 110 Fri Aug 7 10:10:43 2026 removing 2948522 relations and 2548522 ideals in 400000 cliques Fri Aug 7 10:10:45 2026 commencing in-memory singleton removal Fri Aug 7 10:10:46 2026 begin with 38532015 relations and 39319260 unique ideals Fri Aug 7 10:10:49 2026 reduce to 38369668 relations and 36606731 ideals in 9 passes Fri Aug 7 10:10:49 2026 max relations containing the same ideal: 105 Fri Aug 7 10:11:33 2026 removing 2609142 relations and 2209142 ideals in 400000 cliques Fri Aug 7 10:11:36 2026 commencing in-memory singleton removal Fri Aug 7 10:11:36 2026 begin with 35760526 relations and 36606731 unique ideals Fri Aug 7 10:11:39 2026 reduce to 35624784 relations and 34260482 ideals in 9 passes Fri Aug 7 10:11:39 2026 max relations containing the same ideal: 101 Fri Aug 7 10:12:18 2026 removing 2421364 relations and 2021364 ideals in 400000 cliques Fri Aug 7 10:12:20 2026 commencing in-memory singleton removal Fri Aug 7 10:12:21 2026 begin with 33203420 relations and 34260482 unique ideals Fri Aug 7 10:12:23 2026 reduce to 33079087 relations and 32113437 ideals in 8 passes Fri Aug 7 10:12:23 2026 max relations containing the same ideal: 95 Fri Aug 7 10:13:00 2026 removing 1793294 relations and 1496723 ideals in 296571 cliques Fri Aug 7 10:13:03 2026 commencing in-memory singleton removal Fri Aug 7 10:13:03 2026 begin with 31285793 relations and 32113437 unique ideals Fri Aug 7 10:13:06 2026 reduce to 31214105 relations and 30544439 ideals in 8 passes Fri Aug 7 10:13:06 2026 max relations containing the same ideal: 93 Fri Aug 7 10:13:43 2026 relations with 0 large ideals: 1910 Fri Aug 7 10:13:43 2026 relations with 1 large ideals: 8629 Fri Aug 7 10:13:43 2026 relations with 2 large ideals: 129642 Fri Aug 7 10:13:43 2026 relations with 3 large ideals: 874136 Fri Aug 7 10:13:43 2026 relations with 4 large ideals: 3171989 Fri Aug 7 10:13:43 2026 relations with 5 large ideals: 6754001 Fri Aug 7 10:13:43 2026 relations with 6 large ideals: 8781701 Fri Aug 7 10:13:43 2026 relations with 7+ large ideals: 11492097 Fri Aug 7 10:13:43 2026 commencing 2-way merge Fri Aug 7 10:14:40 2026 reduce to 18673883 relation sets and 18004217 unique ideals Fri Aug 7 10:14:40 2026 commencing full merge Fri Aug 7 10:59:22 2026 memory use: 836.2 MB Fri Aug 7 10:59:22 2026 found 46576 cycles, need 4057992 Fri Aug 7 10:59:22 2026 too few cycles, matrix probably cannot build Fri Aug 7 10:59:23 2026 filtering wants 1000000 more relations Fri Aug 7 10:59:23 2026 elapsed time 01:22:45 Fri Aug 7 12:20:37 2026 Fri Aug 7 12:20:37 2026 Fri Aug 7 12:20:37 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 7 12:20:37 2026 random seeds: e368d898 34f1409b Fri Aug 7 12:20:37 2026 MPI process 0 of 1 Fri Aug 7 12:20:37 2026 Using 32 OpenMP threads Fri Aug 7 12:20:37 2026 factoring 9332155691110308259490586933413492572915617151444607857312814696279090599433845438050987762954288165005475999396234499030052809359915534126886949077894165665796570519 (166 digits) Fri Aug 7 12:20:38 2026 searching for 15-digit factors Fri Aug 7 12:20:39 2026 commencing number field sieve (166-digit input) Fri Aug 7 12:20:39 2026 reversing signs of algebraic polynomial Fri Aug 7 12:20:39 2026 R0: 104013026641560147449358684634034 Fri Aug 7 12:20:39 2026 R1: 14061341503401335033879651 Fri Aug 7 12:20:39 2026 A0: 14496548282630090726738655795273138990660 Fri Aug 7 12:20:39 2026 A1: 4582119400360336924970151659010601 Fri Aug 7 12:20:39 2026 A2: -1941928479717529250520629358 Fri Aug 7 12:20:39 2026 A3: -395017042238291982493 Fri Aug 7 12:20:39 2026 A4: 26895427724454 Fri Aug 7 12:20:39 2026 A5: 582120 Fri Aug 7 12:20:39 2026 skew 6281786.06, size 3.815e-16, alpha -8.159, combined = 6.427e-13 rroots = 5 Fri Aug 7 12:20:39 2026 Fri Aug 7 12:20:39 2026 commencing relation filtering Fri Aug 7 12:20:39 2026 setting target matrix density to 120.0 Fri Aug 7 12:20:39 2026 reversing signs of algebraic polynomial Fri Aug 7 12:20:39 2026 estimated available RAM is 257736.5 MB Fri Aug 7 12:20:39 2026 commencing duplicate removal, pass 1 Fri Aug 7 12:21:37 2026 error -1 reading relation 18242369 Fri Aug 7 12:21:46 2026 error -1 reading relation 21245261 Fri Aug 7 12:22:34 2026 error -1 reading relation 37525977 Fri Aug 7 12:23:15 2026 error -1 reading relation 51796466 Fri Aug 7 12:23:55 2026 error -1 reading relation 64526468 Fri Aug 7 12:24:16 2026 error -1 reading relation 71835117 Fri Aug 7 12:25:08 2026 error -1 reading relation 88783539 Fri Aug 7 12:25:53 2026 error -1 reading relation 103112804 Fri Aug 7 12:27:31 2026 skipped 63 malformed relations Fri Aug 7 12:27:31 2026 found 23742270 hash collisions in 133040955 relations Fri Aug 7 12:28:15 2026 added 121792 free relations Fri Aug 7 12:28:15 2026 commencing duplicate removal, pass 2 Fri Aug 7 12:34:14 2026 found 23996493 duplicates and 109166254 unique relations Fri Aug 7 12:34:14 2026 memory use: 788.8 MB Fri Aug 7 12:34:14 2026 reading ideals above 720000 Fri Aug 7 12:34:14 2026 commencing singleton removal, initial pass Fri Aug 7 12:52:47 2026 memory use: 3012.0 MB Fri Aug 7 12:52:48 2026 reading all ideals from disk Fri Aug 7 12:52:53 2026 memory use: 4976.3 MB Fri Aug 7 12:53:26 2026 keeping 114698798 ideals with weight <= 200, target excess is 587241 Fri Aug 7 12:54:07 2026 commencing in-memory singleton removal Fri Aug 7 12:54:10 2026 begin with 109166254 relations and 114698798 unique ideals Fri Aug 7 12:54:21 2026 reduce to 48203919 relations and 44892848 ideals in 19 passes Fri Aug 7 12:54:21 2026 max relations containing the same ideal: 124 Fri Aug 7 12:55:19 2026 removing 3924268 relations and 3524268 ideals in 400000 cliques Fri Aug 7 12:55:23 2026 commencing in-memory singleton removal Fri Aug 7 12:55:24 2026 begin with 44279651 relations and 44892848 unique ideals Fri Aug 7 12:55:28 2026 reduce to 44043641 relations and 41129854 ideals in 11 passes Fri Aug 7 12:55:28 2026 max relations containing the same ideal: 117 Fri Aug 7 12:56:14 2026 removing 2881411 relations and 2481411 ideals in 400000 cliques Fri Aug 7 12:56:17 2026 commencing in-memory singleton removal Fri Aug 7 12:56:17 2026 begin with 41162230 relations and 41129854 unique ideals Fri Aug 7 12:56:21 2026 reduce to 41018610 relations and 38503438 ideals in 9 passes Fri Aug 7 12:56:21 2026 max relations containing the same ideal: 113 Fri Aug 7 12:57:09 2026 removing 2549671 relations and 2149671 ideals in 400000 cliques Fri Aug 7 12:57:12 2026 commencing in-memory singleton removal Fri Aug 7 12:57:13 2026 begin with 38468939 relations and 38503438 unique ideals Fri Aug 7 12:57:17 2026 reduce to 38349092 relations and 36232794 ideals in 9 passes Fri Aug 7 12:57:17 2026 max relations containing the same ideal: 108 Fri Aug 7 12:57:54 2026 removing 2364739 relations and 1964739 ideals in 400000 cliques Fri Aug 7 12:57:57 2026 commencing in-memory singleton removal Fri Aug 7 12:57:58 2026 begin with 35984353 relations and 36232794 unique ideals Fri Aug 7 12:58:01 2026 reduce to 35874934 relations and 34157582 ideals in 9 passes Fri Aug 7 12:58:01 2026 max relations containing the same ideal: 105 Fri Aug 7 12:58:48 2026 removing 2245597 relations and 1845597 ideals in 400000 cliques Fri Aug 7 12:58:51 2026 commencing in-memory singleton removal Fri Aug 7 12:58:51 2026 begin with 33629337 relations and 34157582 unique ideals Fri Aug 7 12:58:54 2026 reduce to 33524587 relations and 32206211 ideals in 8 passes Fri Aug 7 12:58:54 2026 max relations containing the same ideal: 99 Fri Aug 7 12:59:27 2026 removing 2159149 relations and 1759149 ideals in 400000 cliques Fri Aug 7 12:59:29 2026 commencing in-memory singleton removal Fri Aug 7 12:59:30 2026 begin with 31365438 relations and 32206211 unique ideals Fri Aug 7 12:59:33 2026 reduce to 31262009 relations and 30342540 ideals in 8 passes Fri Aug 7 12:59:33 2026 max relations containing the same ideal: 97 Fri Aug 7 13:00:03 2026 removing 1363634 relations and 1125365 ideals in 238269 cliques Fri Aug 7 13:00:05 2026 commencing in-memory singleton removal Fri Aug 7 13:00:05 2026 begin with 29898375 relations and 30342540 unique ideals Fri Aug 7 13:00:07 2026 reduce to 29856097 relations and 29174605 ideals in 7 passes Fri Aug 7 13:00:07 2026 max relations containing the same ideal: 93 Fri Aug 7 13:00:44 2026 relations with 0 large ideals: 1955 Fri Aug 7 13:00:44 2026 relations with 1 large ideals: 9145 Fri Aug 7 13:00:44 2026 relations with 2 large ideals: 136135 Fri Aug 7 13:00:44 2026 relations with 3 large ideals: 898023 Fri Aug 7 13:00:44 2026 relations with 4 large ideals: 3179670 Fri Aug 7 13:00:44 2026 relations with 5 large ideals: 6604500 Fri Aug 7 13:00:44 2026 relations with 6 large ideals: 8384910 Fri Aug 7 13:00:44 2026 relations with 7+ large ideals: 10641759 Fri Aug 7 13:00:44 2026 commencing 2-way merge Fri Aug 7 13:01:28 2026 reduce to 18114397 relation sets and 17432905 unique ideals Fri Aug 7 13:01:28 2026 commencing full merge Fri Aug 7 13:20:26 2026 memory use: 2164.7 MB Fri Aug 7 13:20:30 2026 found 8037812 cycles, need 8023105 Fri Aug 7 13:20:35 2026 weight of 8023105 cycles is about 963140909 (120.05/cycle) Fri Aug 7 13:20:35 2026 distribution of cycle lengths: Fri Aug 7 13:20:35 2026 1 relations: 419833 Fri Aug 7 13:20:36 2026 2 relations: 573817 Fri Aug 7 13:20:36 2026 3 relations: 632476 Fri Aug 7 13:20:36 2026 4 relations: 620705 Fri Aug 7 13:20:36 2026 5 relations: 606475 Fri Aug 7 13:20:36 2026 6 relations: 567429 Fri Aug 7 13:20:36 2026 7 relations: 534602 Fri Aug 7 13:20:36 2026 8 relations: 492085 Fri Aug 7 13:20:36 2026 9 relations: 455431 Fri Aug 7 13:20:36 2026 10+ relations: 3120252 Fri Aug 7 13:20:36 2026 heaviest cycle: 28 relations Fri Aug 7 13:20:41 2026 commencing cycle optimization Fri Aug 7 13:21:31 2026 start with 70752475 relations Fri Aug 7 13:28:13 2026 pruned 2667820 relations Fri Aug 7 13:28:13 2026 memory use: 1954.4 MB Fri Aug 7 13:28:13 2026 distribution of cycle lengths: Fri Aug 7 13:28:13 2026 1 relations: 419833 Fri Aug 7 13:28:13 2026 2 relations: 589123 Fri Aug 7 13:28:13 2026 3 relations: 659544 Fri Aug 7 13:28:13 2026 4 relations: 643166 Fri Aug 7 13:28:13 2026 5 relations: 630825 Fri Aug 7 13:28:13 2026 6 relations: 587017 Fri Aug 7 13:28:13 2026 7 relations: 552850 Fri Aug 7 13:28:13 2026 8 relations: 506275 Fri Aug 7 13:28:13 2026 9 relations: 466933 Fri Aug 7 13:28:13 2026 10+ relations: 2967539 Fri Aug 7 13:28:13 2026 heaviest cycle: 28 relations Fri Aug 7 13:28:48 2026 RelProcTime: 4089 Fri Aug 7 13:28:48 2026 Fri Aug 7 13:28:48 2026 commencing linear algebra Fri Aug 7 13:28:48 2026 using VBITS=256 Fri Aug 7 13:28:48 2026 stopping after matrix build Fri Aug 7 13:28:48 2026 initialized process (0,0) of 1 x 1 grid Fri Aug 7 13:28:48 2026 reversing signs of algebraic polynomial Fri Aug 7 13:28:50 2026 read 8023105 cycles Fri Aug 7 13:29:32 2026 cycles contain 29376294 unique relations Fri Aug 7 13:33:11 2026 read 29376294 relations Fri Aug 7 13:33:15 2026 using 20 quadratic characters above 4294917295 Fri Aug 7 13:33:20 2026 building initial matrix Fri Aug 7 13:49:04 2026 memory use: 4004.8 MB Fri Aug 7 13:49:18 2026 read 8023105 cycles Fri Aug 7 13:49:21 2026 matrix is 8022928 x 8023105 (3817.4 MB) with weight 1185035021 (147.70/col) Fri Aug 7 13:49:21 2026 sparse part has weight 904420432 (112.73/col) Fri Aug 7 13:53:30 2026 filtering completed in 2 passes Fri Aug 7 13:53:35 2026 matrix is 8022653 x 8022830 (3817.3 MB) with weight 1185020501 (147.71/col) Fri Aug 7 13:53:35 2026 sparse part has weight 904416698 (112.73/col) Fri Aug 7 13:54:46 2026 BLanczosTime: 1558 Fri Aug 7 13:54:46 2026 elapsed time 01:34:09 Fri Aug 7 14:01:33 2026 Fri Aug 7 14:01:33 2026 Fri Aug 7 14:01:33 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 7 14:01:33 2026 random seeds: 26200ff4 5ac99ff5 Fri Aug 7 14:01:33 2026 MPI process 0 of 1 Fri Aug 7 14:01:33 2026 Using 64 OpenMP threads Fri Aug 7 14:01:33 2026 factoring 9332155691110308259490586933413492572915617151444607857312814696279090599433845438050987762954288165005475999396234499030052809359915534126886949077894165665796570519 (166 digits) Fri Aug 7 14:01:34 2026 searching for 15-digit factors Fri Aug 7 14:01:35 2026 commencing number field sieve (166-digit input) Fri Aug 7 14:01:35 2026 reversing signs of algebraic polynomial Fri Aug 7 14:01:35 2026 R0: 104013026641560147449358684634034 Fri Aug 7 14:01:35 2026 R1: 14061341503401335033879651 Fri Aug 7 14:01:35 2026 A0: 14496548282630090726738655795273138990660 Fri Aug 7 14:01:35 2026 A1: 4582119400360336924970151659010601 Fri Aug 7 14:01:35 2026 A2: -1941928479717529250520629358 Fri Aug 7 14:01:35 2026 A3: -395017042238291982493 Fri Aug 7 14:01:35 2026 A4: 26895427724454 Fri Aug 7 14:01:35 2026 A5: 582120 Fri Aug 7 14:01:35 2026 skew 6281786.06, size 3.815e-16, alpha -8.159, combined = 6.427e-13 rroots = 5 Fri Aug 7 14:01:35 2026 Fri Aug 7 14:01:35 2026 commencing linear algebra Fri Aug 7 14:01:35 2026 using VBITS=256 Fri Aug 7 14:01:35 2026 skipping matrix build Fri Aug 7 14:01:35 2026 initialized process (0,0) of 1 x 1 grid Fri Aug 7 14:01:38 2026 matrix starts at (0, 0) Fri Aug 7 14:01:40 2026 matrix is 8022653 x 8022830 (3817.3 MB) with weight 1185020501 (147.71/col) Fri Aug 7 14:01:40 2026 sparse part has weight 904416698 (112.73/col) Fri Aug 7 14:01:40 2026 saving the first 240 matrix rows for later Fri Aug 7 14:01:41 2026 matrix includes 256 packed rows Fri Aug 7 14:01:44 2026 matrix is 8022413 x 8022830 (3466.7 MB) with weight 833665414 (103.91/col) Fri Aug 7 14:01:44 2026 sparse part has weight 780400932 (97.27/col) Fri Aug 7 14:01:44 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri Aug 7 14:02:01 2026 commencing Lanczos iteration (64 threads) Fri Aug 7 14:02:01 2026 memory use: 4978.6 MB Fri Aug 7 14:03:06 2026 linear algebra at 0.4%, ETA 4h38m Fri Aug 7 14:04:40 2026 checking every 20000 dimensions, checkpointing every 1760000 dimensions Fri Aug 7 18:32:01 2026 lanczos halted after 31432 iterations (dim = 8022413) Fri Aug 7 18:32:29 2026 recovered 30 nontrivial dependencies Fri Aug 7 18:32:29 2026 BLanczosTime: 16254 Fri Aug 7 18:32:29 2026 Fri Aug 7 18:32:29 2026 commencing square root phase Fri Aug 7 18:32:29 2026 reversing signs of algebraic polynomial Fri Aug 7 18:32:29 2026 handling dependencies 1 to 64 Fri Aug 7 18:32:29 2026 reading relations for dependency 1 Fri Aug 7 18:32:30 2026 read 4013865 cycles Fri Aug 7 18:32:36 2026 cycles contain 14696448 unique relations Fri Aug 7 18:35:40 2026 read 14696448 relations Fri Aug 7 18:39:21 2026 multiplying 14696448 relations Fri Aug 7 18:42:59 2026 multiply complete, coefficients have about 842.49 million bits Fri Aug 7 18:43:03 2026 initial square root is modulo 36175241 Fri Aug 7 18:55:29 2026 sqrtTime: 1380 Fri Aug 7 18:55:29 2026 p68 factor: 24358761003501144391823350486031360219066287999733919771217002609079 Fri Aug 7 18:55:29 2026 p99 factor: 383112905035234536789097100669414811423874072080313457511020813361493977890248904250525291881667361 Fri Aug 7 18:55:29 2026 elapsed time 04:53:56