Sun Jun 5 16:27:05 2022 Sun Jun 5 16:27:05 2022 Sun Jun 5 16:27:05 2022 Msieve v. 1.54 (SVN 1028) Sun Jun 5 16:27:05 2022 random seeds: d49361d8 1f7e7251 Sun Jun 5 16:27:05 2022 factoring 2235674468323154824159703065540694727041982607299580374662199547817173290910517586054765142118605487539993150389456022672912615874081651170714180695574463031073456448704152071156814594736108230576795563252950552629439170084678161604019 (235 digits) Sun Jun 5 16:27:06 2022 no P-1/P+1/ECM available, skipping Sun Jun 5 16:27:06 2022 commencing number field sieve (235-digit input) Sun Jun 5 16:27:06 2022 R0: 22835963083295358096932575511191922182123945984 Sun Jun 5 16:27:06 2022 R1: -1 Sun Jun 5 16:27:06 2022 A0: -1 Sun Jun 5 16:27:06 2022 A1: 0 Sun Jun 5 16:27:06 2022 A2: 0 Sun Jun 5 16:27:06 2022 A3: 0 Sun Jun 5 16:27:06 2022 A4: 0 Sun Jun 5 16:27:06 2022 A5: 0 Sun Jun 5 16:27:06 2022 A6: 104 Sun Jun 5 16:27:06 2022 skew 0.48, size 7.971e-14, alpha 1.288, combined = 1.699e-14 rroots = 2 Sun Jun 5 16:27:06 2022 Sun Jun 5 16:27:06 2022 commencing relation filtering Sun Jun 5 16:27:06 2022 setting target matrix density to 116.0 Sun Jun 5 16:27:06 2022 estimated available RAM is 23998.2 MB Sun Jun 5 16:27:06 2022 commencing duplicate removal, pass 1 Sun Jun 5 16:35:22 2022 error -15 reading relation 98501769 Sun Jun 5 16:40:08 2022 error -15 reading relation 154143897 Sun Jun 5 16:40:08 2022 error -15 reading relation 154144103 Sun Jun 5 16:44:07 2022 error -11 reading relation 199671368 Sun Jun 5 17:00:20 2022 error -15 reading relation 385037545 Sun Jun 5 17:01:53 2022 error -15 reading relation 403679885 Sun Jun 5 17:01:53 2022 error -11 reading relation 403680664 Sun Jun 5 17:03:41 2022 error -15 reading relation 425392299 Sun Jun 5 17:12:37 2022 error -15 reading relation 533309307 Sun Jun 5 17:14:34 2022 error -11 reading relation 557103954 Sun Jun 5 17:17:47 2022 error -15 reading relation 596221433 Sun Jun 5 17:20:04 2022 error -1 reading relation 624029948 Sun Jun 5 17:22:12 2022 skipped 22355 relations with b > 2^32 Sun Jun 5 17:22:12 2022 skipped 8 relations with composite factors Sun Jun 5 17:22:12 2022 found 84489598 hash collisions in 649924411 relations Sun Jun 5 17:22:21 2022 added 1218471 free relations Sun Jun 5 17:22:21 2022 commencing duplicate removal, pass 2 Sun Jun 5 17:37:26 2022 found 5970051 duplicates and 645172831 unique relations Sun Jun 5 17:37:26 2022 memory use: 4262.0 MB Sun Jun 5 17:37:26 2022 reading ideals above 364969984 Sun Jun 5 17:37:26 2022 commencing singleton removal, initial pass Sun Jun 5 18:20:15 2022 memory use: 11024.0 MB Sun Jun 5 18:20:16 2022 reading all ideals from disk Sun Jun 5 18:22:48 2022 memory use: 11992.4 MB Sun Jun 5 18:23:03 2022 commencing in-memory singleton removal Sun Jun 5 18:23:17 2022 begin with 645172831 relations and 595530172 unique ideals Sun Jun 5 18:27:11 2022 reduce to 361617927 relations and 276994721 ideals in 19 passes Sun Jun 5 18:27:11 2022 max relations containing the same ideal: 43 Sun Jun 5 18:27:22 2022 reading ideals above 720000 Sun Jun 5 18:27:22 2022 commencing singleton removal, initial pass Sun Jun 5 19:00:58 2022 memory use: 6024.0 MB Sun Jun 5 19:00:59 2022 reading large ideals from disk Sun Jun 5 19:04:23 2022 keeping 286549614 ideals with weight <= 20, target excess is 29566199 Sun Jun 5 19:07:30 2022 memory use: 10138.3 MB Sun Jun 5 19:07:30 2022 commencing in-memory singleton removal Sun Jun 5 19:07:38 2022 begin with 361617927 relations and 286549614 unique ideals Sun Jun 5 19:09:58 2022 reduce to 361606295 relations and 286537982 ideals in 12 passes Sun Jun 5 19:09:58 2022 max relations containing the same ideal: 20 Sun Jun 5 19:11:17 2022 removing 17974550 relations and 15974550 ideals in 2000000 cliques Sun Jun 5 19:11:22 2022 commencing in-memory singleton removal Sun Jun 5 19:11:29 2022 begin with 343631745 relations and 286537982 unique ideals Sun Jun 5 19:13:10 2022 reduce to 342838817 relations and 269763795 ideals in 9 passes Sun Jun 5 19:13:10 2022 max relations containing the same ideal: 20 Sun Jun 5 19:14:25 2022 removing 13243590 relations and 11243590 ideals in 2000000 cliques Sun Jun 5 19:14:29 2022 commencing in-memory singleton removal Sun Jun 5 19:14:36 2022 begin with 329595227 relations and 269763795 unique ideals Sun Jun 5 19:16:02 2022 reduce to 329116134 relations and 258037715 ideals in 8 passes Sun Jun 5 19:16:02 2022 max relations containing the same ideal: 20 Sun Jun 5 19:17:14 2022 removing 11763745 relations and 9763745 ideals in 2000000 cliques Sun Jun 5 19:17:18 2022 commencing in-memory singleton removal Sun Jun 5 19:17:24 2022 begin with 317352389 relations and 258037715 unique ideals Sun Jun 5 19:18:45 2022 reduce to 316954097 relations and 247872966 ideals in 8 passes Sun Jun 5 19:18:45 2022 max relations containing the same ideal: 20 Sun Jun 5 19:19:54 2022 removing 10921479 relations and 8921479 ideals in 2000000 cliques Sun Jun 5 19:19:58 2022 commencing in-memory singleton removal Sun Jun 5 19:20:04 2022 begin with 306032618 relations and 247872966 unique ideals Sun Jun 5 19:21:22 2022 reduce to 305669219 relations and 238585720 ideals in 8 passes Sun Jun 5 19:21:22 2022 max relations containing the same ideal: 20 Sun Jun 5 19:22:28 2022 removing 10375257 relations and 8375257 ideals in 2000000 cliques Sun Jun 5 19:22:32 2022 commencing in-memory singleton removal Sun Jun 5 19:22:38 2022 begin with 295293962 relations and 238585720 unique ideals Sun Jun 5 19:23:53 2022 reduce to 294951795 relations and 229866007 ideals in 8 passes Sun Jun 5 19:23:53 2022 max relations containing the same ideal: 20 Sun Jun 5 19:24:57 2022 removing 9957789 relations and 7957789 ideals in 2000000 cliques Sun Jun 5 19:25:00 2022 commencing in-memory singleton removal Sun Jun 5 19:25:06 2022 begin with 284994006 relations and 229866007 unique ideals Sun Jun 5 19:26:18 2022 reduce to 284662536 relations and 221574558 ideals in 8 passes Sun Jun 5 19:26:18 2022 max relations containing the same ideal: 20 Sun Jun 5 19:27:20 2022 removing 9698047 relations and 7698047 ideals in 2000000 cliques Sun Jun 5 19:27:24 2022 commencing in-memory singleton removal Sun Jun 5 19:27:29 2022 begin with 274964489 relations and 221574558 unique ideals Sun Jun 5 19:28:46 2022 reduce to 274641810 relations and 213551689 ideals in 9 passes Sun Jun 5 19:28:46 2022 max relations containing the same ideal: 20 Sun Jun 5 19:29:46 2022 removing 9447238 relations and 7447238 ideals in 2000000 cliques Sun Jun 5 19:29:50 2022 commencing in-memory singleton removal Sun Jun 5 19:29:55 2022 begin with 265194572 relations and 213551689 unique ideals Sun Jun 5 19:31:01 2022 reduce to 264872785 relations and 205780504 ideals in 8 passes Sun Jun 5 19:31:01 2022 max relations containing the same ideal: 20 Sun Jun 5 19:31:59 2022 removing 9307071 relations and 7307071 ideals in 2000000 cliques Sun Jun 5 19:32:02 2022 commencing in-memory singleton removal Sun Jun 5 19:32:07 2022 begin with 255565714 relations and 205780504 unique ideals Sun Jun 5 19:33:10 2022 reduce to 255248194 relations and 198153643 ideals in 8 passes Sun Jun 5 19:33:10 2022 max relations containing the same ideal: 20 Sun Jun 5 19:34:06 2022 removing 9097692 relations and 7097692 ideals in 2000000 cliques Sun Jun 5 19:34:09 2022 commencing in-memory singleton removal Sun Jun 5 19:34:14 2022 begin with 246150502 relations and 198153643 unique ideals Sun Jun 5 19:35:21 2022 reduce to 245821151 relations and 190724106 ideals in 9 passes Sun Jun 5 19:35:21 2022 max relations containing the same ideal: 20 Sun Jun 5 19:36:16 2022 removing 9064534 relations and 7064534 ideals in 2000000 cliques Sun Jun 5 19:36:19 2022 commencing in-memory singleton removal Sun Jun 5 19:36:23 2022 begin with 236756617 relations and 190724106 unique ideals Sun Jun 5 19:37:14 2022 reduce to 236431885 relations and 183332302 ideals in 7 passes Sun Jun 5 19:37:14 2022 max relations containing the same ideal: 20 Sun Jun 5 19:38:06 2022 removing 8969295 relations and 6969295 ideals in 2000000 cliques Sun Jun 5 19:38:09 2022 commencing in-memory singleton removal Sun Jun 5 19:38:14 2022 begin with 227462590 relations and 183332302 unique ideals Sun Jun 5 19:39:15 2022 reduce to 227129688 relations and 176027396 ideals in 9 passes Sun Jun 5 19:39:15 2022 max relations containing the same ideal: 20 Sun Jun 5 19:40:05 2022 removing 8837221 relations and 6837221 ideals in 2000000 cliques Sun Jun 5 19:40:08 2022 commencing in-memory singleton removal Sun Jun 5 19:40:12 2022 begin with 218292467 relations and 176027396 unique ideals Sun Jun 5 19:41:05 2022 reduce to 217938182 relations and 168832807 ideals in 8 passes Sun Jun 5 19:41:05 2022 max relations containing the same ideal: 20 Sun Jun 5 19:41:53 2022 removing 8897564 relations and 6897564 ideals in 2000000 cliques Sun Jun 5 19:41:56 2022 commencing in-memory singleton removal Sun Jun 5 19:42:00 2022 begin with 209040618 relations and 168832807 unique ideals Sun Jun 5 19:42:50 2022 reduce to 208685519 relations and 161577086 ideals in 8 passes Sun Jun 5 19:42:50 2022 max relations containing the same ideal: 20 Sun Jun 5 19:43:38 2022 removing 8790900 relations and 6790900 ideals in 2000000 cliques Sun Jun 5 19:43:40 2022 commencing in-memory singleton removal Sun Jun 5 19:43:44 2022 begin with 199894619 relations and 161577086 unique ideals Sun Jun 5 19:44:30 2022 reduce to 199517614 relations and 154405821 ideals in 8 passes Sun Jun 5 19:44:30 2022 max relations containing the same ideal: 20 Sun Jun 5 19:45:15 2022 removing 8740692 relations and 6740692 ideals in 2000000 cliques Sun Jun 5 19:45:17 2022 commencing in-memory singleton removal Sun Jun 5 19:45:21 2022 begin with 190776922 relations and 154405821 unique ideals Sun Jun 5 19:46:05 2022 reduce to 190371816 relations and 147256165 ideals in 8 passes Sun Jun 5 19:46:05 2022 max relations containing the same ideal: 20 Sun Jun 5 19:46:48 2022 removing 8867370 relations and 6867370 ideals in 2000000 cliques Sun Jun 5 19:46:50 2022 commencing in-memory singleton removal Sun Jun 5 19:46:53 2022 begin with 181504446 relations and 147256165 unique ideals Sun Jun 5 19:47:40 2022 reduce to 181099562 relations and 139979874 ideals in 9 passes Sun Jun 5 19:47:40 2022 max relations containing the same ideal: 20 Sun Jun 5 19:48:21 2022 removing 8842838 relations and 6842838 ideals in 2000000 cliques Sun Jun 5 19:48:23 2022 commencing in-memory singleton removal Sun Jun 5 19:48:26 2022 begin with 172256724 relations and 139979874 unique ideals Sun Jun 5 19:49:05 2022 reduce to 171818776 relations and 132694594 ideals in 8 passes Sun Jun 5 19:49:05 2022 max relations containing the same ideal: 19 Sun Jun 5 19:49:44 2022 removing 8799218 relations and 6799218 ideals in 2000000 cliques Sun Jun 5 19:49:46 2022 commencing in-memory singleton removal Sun Jun 5 19:49:49 2022 begin with 163019558 relations and 132694594 unique ideals Sun Jun 5 19:50:30 2022 reduce to 162536635 relations and 125407067 ideals in 9 passes Sun Jun 5 19:50:30 2022 max relations containing the same ideal: 19 Sun Jun 5 19:51:06 2022 removing 9000228 relations and 7000228 ideals in 2000000 cliques Sun Jun 5 19:51:09 2022 commencing in-memory singleton removal Sun Jun 5 19:51:11 2022 begin with 153536407 relations and 125407067 unique ideals Sun Jun 5 19:51:49 2022 reduce to 153046792 relations and 117911643 ideals in 9 passes Sun Jun 5 19:51:49 2022 max relations containing the same ideal: 19 Sun Jun 5 19:52:24 2022 removing 4410219 relations and 3571861 ideals in 838358 cliques Sun Jun 5 19:52:26 2022 commencing in-memory singleton removal Sun Jun 5 19:52:29 2022 begin with 148636573 relations and 117911643 unique ideals Sun Jun 5 19:52:57 2022 reduce to 148518891 relations and 114221466 ideals in 7 passes Sun Jun 5 19:52:57 2022 max relations containing the same ideal: 19 Sun Jun 5 19:53:35 2022 relations with 0 large ideals: 5953905 Sun Jun 5 19:53:35 2022 relations with 1 large ideals: 26469725 Sun Jun 5 19:53:35 2022 relations with 2 large ideals: 50844243 Sun Jun 5 19:53:35 2022 relations with 3 large ideals: 44067506 Sun Jun 5 19:53:35 2022 relations with 4 large ideals: 17695768 Sun Jun 5 19:53:35 2022 relations with 5 large ideals: 3208952 Sun Jun 5 19:53:35 2022 relations with 6 large ideals: 267695 Sun Jun 5 19:53:35 2022 relations with 7+ large ideals: 11097 Sun Jun 5 19:53:35 2022 commencing 2-way merge Sun Jun 5 19:54:18 2022 reduce to 87835948 relation sets and 53538523 unique ideals Sun Jun 5 19:54:18 2022 commencing full merge Sun Jun 5 20:00:14 2022 memory use: 4430.1 MB Sun Jun 5 20:00:17 2022 found 38413645 cycles, need 35040723 Sun Jun 5 20:00:23 2022 weight of 35040723 cycles is about 4065237701 (116.01/cycle) Sun Jun 5 20:00:23 2022 distribution of cycle lengths: Sun Jun 5 20:00:23 2022 1 relations: 6049441 Sun Jun 5 20:00:23 2022 2 relations: 2633878 Sun Jun 5 20:00:23 2022 3 relations: 2248057 Sun Jun 5 20:00:23 2022 4 relations: 2046858 Sun Jun 5 20:00:23 2022 5 relations: 1967880 Sun Jun 5 20:00:23 2022 6 relations: 1870874 Sun Jun 5 20:00:23 2022 7 relations: 1814024 Sun Jun 5 20:00:23 2022 8 relations: 1734265 Sun Jun 5 20:00:23 2022 9 relations: 1679796 Sun Jun 5 20:00:23 2022 10+ relations: 12995650 Sun Jun 5 20:00:23 2022 heaviest cycle: 25 relations Sun Jun 5 20:00:24 2022 commencing cycle optimization Sun Jun 5 20:01:11 2022 start with 275467020 relations Sun Jun 5 20:06:54 2022 pruned 14552830 relations Sun Jun 5 20:06:54 2022 memory use: 7843.5 MB Sun Jun 5 20:06:54 2022 distribution of cycle lengths: Sun Jun 5 20:06:54 2022 1 relations: 6049441 Sun Jun 5 20:06:54 2022 2 relations: 2723705 Sun Jun 5 20:06:54 2022 3 relations: 2362590 Sun Jun 5 20:06:54 2022 4 relations: 2155959 Sun Jun 5 20:06:54 2022 5 relations: 2091679 Sun Jun 5 20:06:54 2022 6 relations: 1993602 Sun Jun 5 20:06:54 2022 7 relations: 1941897 Sun Jun 5 20:06:54 2022 8 relations: 1854917 Sun Jun 5 20:06:54 2022 9 relations: 1799416 Sun Jun 5 20:06:54 2022 10+ relations: 12067517 Sun Jun 5 20:06:54 2022 heaviest cycle: 24 relations Sun Jun 5 20:07:24 2022 RelProcTime: 13218 Sun Jun 5 20:07:28 2022 elapsed time 03:40:23 Sun Jun 5 22:47:24 2022 Sun Jun 5 22:47:24 2022 Sun Jun 5 22:47:24 2022 Msieve v. 1.54 (SVN 1028) Sun Jun 5 22:47:24 2022 random seeds: ce27ab38 00b98e82 Sun Jun 5 22:47:24 2022 factoring 2235674468323154824159703065540694727041982607299580374662199547817173290910517586054765142118605487539993150389456022672912615874081651170714180695574463031073456448704152071156814594736108230576795563252950552629439170084678161604019 (235 digits) Sun Jun 5 22:47:25 2022 no P-1/P+1/ECM available, skipping Sun Jun 5 22:47:25 2022 commencing number field sieve (235-digit input) Sun Jun 5 22:47:25 2022 R0: 22835963083295358096932575511191922182123945984 Sun Jun 5 22:47:25 2022 R1: -1 Sun Jun 5 22:47:25 2022 A0: -1 Sun Jun 5 22:47:25 2022 A1: 0 Sun Jun 5 22:47:25 2022 A2: 0 Sun Jun 5 22:47:25 2022 A3: 0 Sun Jun 5 22:47:25 2022 A4: 0 Sun Jun 5 22:47:25 2022 A5: 0 Sun Jun 5 22:47:25 2022 A6: 104 Sun Jun 5 22:47:25 2022 skew 0.48, size 7.971e-14, alpha 1.288, combined = 1.699e-14 rroots = 2 Sun Jun 5 22:47:25 2022 Sun Jun 5 22:47:25 2022 commencing linear algebra Sun Jun 5 22:47:27 2022 read 35040723 cycles Sun Jun 5 22:48:16 2022 cycles contain 125656937 unique relations Sun Jun 5 23:23:45 2022 Sun Jun 5 23:23:45 2022 Sun Jun 5 23:23:45 2022 Msieve v. 1.54 (SVN 1028) Sun Jun 5 23:23:45 2022 random seeds: 680c56a5 93943ecd Sun Jun 5 23:23:45 2022 factoring 2235674468323154824159703065540694727041982607299580374662199547817173290910517586054765142118605487539993150389456022672912615874081651170714180695574463031073456448704152071156814594736108230576795563252950552629439170084678161604019 (235 digits) Sun Jun 5 23:23:45 2022 no P-1/P+1/ECM available, skipping Sun Jun 5 23:23:45 2022 commencing number field sieve (235-digit input) Sun Jun 5 23:23:45 2022 R0: 22835963083295358096932575511191922182123945984 Sun Jun 5 23:23:45 2022 R1: -1 Sun Jun 5 23:23:45 2022 A0: -1 Sun Jun 5 23:23:45 2022 A1: 0 Sun Jun 5 23:23:45 2022 A2: 0 Sun Jun 5 23:23:45 2022 A3: 0 Sun Jun 5 23:23:45 2022 A4: 0 Sun Jun 5 23:23:45 2022 A5: 0 Sun Jun 5 23:23:45 2022 A6: 104 Sun Jun 5 23:23:45 2022 skew 0.48, size 7.971e-14, alpha 1.288, combined = 1.699e-14 rroots = 2 Sun Jun 5 23:23:45 2022 Sun Jun 5 23:23:45 2022 commencing linear algebra Sun Jun 5 23:24:01 2022 read 35040723 cycles Sun Jun 5 23:24:42 2022 cycles contain 125656937 unique relations Sun Jun 5 23:39:38 2022 read 125656937 relations Sun Jun 5 23:42:29 2022 using 20 quadratic characters above 4294917295 Sun Jun 5 23:46:52 2022 building initial matrix Sun Jun 5 23:59:45 2022 memory use: 15719.4 MB Mon Jun 6 00:03:07 2022 read 35040723 cycles Mon Jun 6 00:03:10 2022 matrix is 35039182 x 35040723 (15444.7 MB) with weight 4405554713 (125.73/col) Mon Jun 6 00:03:10 2022 sparse part has weight 3698327785 (105.54/col) Mon Jun 6 00:08:26 2022 filtering completed in 3 passes Mon Jun 6 00:08:30 2022 matrix is 34996822 x 34997022 (15432.9 MB) with weight 4401916884 (125.78/col) Mon Jun 6 00:08:30 2022 sparse part has weight 3695660687 (105.60/col) Mon Jun 6 00:15:33 2022 matrix starts at (0, 0) Mon Jun 6 00:15:36 2022 matrix is 34996822 x 34997022 (15432.9 MB) with weight 4401916884 (125.78/col) Mon Jun 6 00:15:36 2022 sparse part has weight 3695660687 (105.60/col) Mon Jun 6 00:15:36 2022 saving the first 112 matrix rows for later Mon Jun 6 00:15:39 2022 matrix includes 128 packed rows Mon Jun 6 00:15:44 2022 matrix is 34996710 x 34997022 (14519.3 MB) with weight 3551103800 (101.47/col) Mon Jun 6 00:15:44 2022 sparse part has weight 3386187108 (96.76/col) Mon Jun 6 00:15:44 2022 using block size 8192 and superblock size 3145728 for processor cache size 65536 kB Mon Jun 6 00:16:40 2022 commencing Lanczos iteration (16 threads) Mon Jun 6 00:16:40 2022 memory use: 16436.7 MB Mon Jun 6 00:17:55 2022 linear algebra at 0.0%, ETA 426h14m Mon Jun 6 00:18:17 2022 checkpointing every 90000 dimensions Thu Jun 23 15:36:23 2022 lanczos halted after 275052 iterations (dim = 34996701) Thu Jun 23 15:37:21 2022 recovered 33 nontrivial dependencies Thu Jun 23 15:37:23 2022 BLanczosTime: 1527218 Thu Jun 23 15:37:23 2022 Thu Jun 23 15:37:23 2022 commencing square root phase Thu Jun 23 15:37:23 2022 reading relations for dependency 1 Thu Jun 23 15:37:41 2022 read 17497530 cycles Thu Jun 23 15:38:09 2022 cycles contain 62790196 unique relations Thu Jun 23 15:53:02 2022 read 62790196 relations Thu Jun 23 15:55:54 2022 multiplying 62790196 relations Thu Jun 23 16:27:44 2022 multiply complete, coefficients have about 2053.11 million bits Thu Jun 23 16:27:46 2022 initial square root is modulo 1620556033 Thu Jun 23 17:00:27 2022 sqrtTime: 4984 Thu Jun 23 17:00:27 2022 p73 factor: 2603898733805291076674019792028353809528241831869475176394735706195163081 Thu Jun 23 17:00:27 2022 p162 factor: 858587332640229103194996713705891469852495538837869574867523118187772584420715118038641960410011225795443340780744568064438642670325736946411094991222938476339099 Thu Jun 23 17:00:27 2022 elapsed time 425:36:42