Tue Jul 7 15:52:00 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Jul 7 15:52:00 2026 random seeds: 38c3bf0e 1c6a726b Tue Jul 7 15:52:00 2026 Using 2 OpenMP threads Tue Jul 7 15:52:00 2026 factoring 116232408184684213366880084136576050722355541037000917857394104779533663906837858444811442775174846550634268012905836966413818988269358585916005026340595852449631547706109328229705146582033839142973341912623870915724581467016865764312102009 (240 digits) Tue Jul 7 15:52:02 2026 no P-1/P+1/ECM available, skipping Tue Jul 7 15:52:02 2026 commencing number field sieve (240-digit input) Tue Jul 7 15:52:02 2026 R0: 151160602744299412106498077718357047252242637 Tue Jul 7 15:52:02 2026 R1: -1 Tue Jul 7 15:52:02 2026 A0: -397 Tue Jul 7 15:52:02 2026 A1: 0 Tue Jul 7 15:52:02 2026 A2: 0 Tue Jul 7 15:52:02 2026 A3: 0 Tue Jul 7 15:52:02 2026 A4: 0 Tue Jul 7 15:52:02 2026 A5: 0 Tue Jul 7 15:52:02 2026 A6: 1 Tue Jul 7 15:52:02 2026 skew 3.52, size 4.826e-13, alpha 0.219, combined = 6.703e-14 rroots = 2 Tue Jul 7 15:52:02 2026 Tue Jul 7 15:52:02 2026 commencing relation filtering Tue Jul 7 15:52:02 2026 setting target matrix density to 80.0 Tue Jul 7 15:52:02 2026 estimated available RAM is 31871.6 MB Tue Jul 7 15:52:02 2026 commencing duplicate removal, pass 1 Tue Jul 7 15:52:09 2026 error -1 reading relation 659837 Tue Jul 7 15:52:46 2026 error -1 reading relation 5429941 Tue Jul 7 15:53:49 2026 error -1 reading relation 13233948 Tue Jul 7 15:54:19 2026 error -1 reading relation 16957115 Tue Jul 7 15:54:45 2026 error -1 reading relation 20302847 Tue Jul 7 15:54:59 2026 error -1 reading relation 22058946 Tue Jul 7 15:55:10 2026 error -1 reading relation 23389022 Tue Jul 7 15:55:37 2026 error -1 reading relation 26576296 Tue Jul 7 15:55:38 2026 error -1 reading relation 26756491 Tue Jul 7 15:55:46 2026 error -1 reading relation 27714315 Tue Jul 7 15:56:08 2026 error -1 reading relation 30569551 Tue Jul 7 15:56:25 2026 error -1 reading relation 32661497 Tue Jul 7 15:57:19 2026 error -1 reading relation 39500567 Tue Jul 7 15:57:24 2026 error -1 reading relation 40155670 Tue Jul 7 15:57:24 2026 error -11 reading relation 40155671 Tue Jul 7 15:57:29 2026 error -6 reading relation 40766384 Tue Jul 7 15:57:49 2026 error -1 reading relation 43150151 Tue Jul 7 15:58:30 2026 error -1 reading relation 48531604 Tue Jul 7 15:58:32 2026 error -1 reading relation 48695739 Tue Jul 7 15:59:14 2026 error -1 reading relation 54036894 Tue Jul 7 16:00:03 2026 error -1 reading relation 59945724 Tue Jul 7 16:00:05 2026 error -1 reading relation 60258744 Tue Jul 7 16:00:30 2026 error -1 reading relation 63409436 Tue Jul 7 16:00:38 2026 error -1 reading relation 64386683 Tue Jul 7 16:00:40 2026 error -1 reading relation 64640993 Tue Jul 7 16:01:06 2026 error -1 reading relation 67882483 Tue Jul 7 16:01:10 2026 error -1 reading relation 68370179 Tue Jul 7 16:01:10 2026 error -1 reading relation 68370180 Tue Jul 7 16:01:23 2026 error -1 reading relation 69917724 Tue Jul 7 16:01:29 2026 error -1 reading relation 70761643 Tue Jul 7 16:01:36 2026 error -1 reading relation 71514122 Tue Jul 7 16:01:45 2026 error -1 reading relation 72511633 Tue Jul 7 16:02:10 2026 error -1 reading relation 75238539 Tue Jul 7 16:02:13 2026 error -1 reading relation 75632132 Tue Jul 7 16:02:26 2026 error -1 reading relation 77231541 Tue Jul 7 16:02:35 2026 error -1 reading relation 78422279 Tue Jul 7 16:02:43 2026 error -1 reading relation 79544797 Tue Jul 7 16:03:05 2026 error -1 reading relation 82191027 Tue Jul 7 16:04:17 2026 error -1 reading relation 91088234 Tue Jul 7 16:05:14 2026 error -1 reading relation 98138436 Tue Jul 7 16:05:27 2026 error -1 reading relation 99743589 Tue Jul 7 16:06:39 2026 error -1 reading relation 108582185 Tue Jul 7 16:07:23 2026 error -1 reading relation 113801539 Tue Jul 7 16:07:23 2026 error -1 reading relation 113831537 Tue Jul 7 16:07:50 2026 error -1 reading relation 117111991 Tue Jul 7 16:08:14 2026 error -1 reading relation 120102524 Tue Jul 7 16:08:24 2026 error -1 reading relation 121334714 Tue Jul 7 16:08:47 2026 error -1 reading relation 124220228 Tue Jul 7 16:09:19 2026 error -1 reading relation 128112687 Tue Jul 7 16:09:31 2026 error -1 reading relation 129562654 Tue Jul 7 16:09:31 2026 error -1 reading relation 129562655 Tue Jul 7 16:09:37 2026 error -11 reading relation 130315335 Tue Jul 7 16:10:08 2026 error -1 reading relation 134025399 Tue Jul 7 16:10:13 2026 error -1 reading relation 134606810 Tue Jul 7 16:10:16 2026 error -1 reading relation 135049874 Tue Jul 7 16:10:17 2026 error -1 reading relation 135094100 Tue Jul 7 16:12:11 2026 error -1 reading relation 148591562 Tue Jul 7 16:12:29 2026 error -1 reading relation 150842962 Tue Jul 7 16:12:29 2026 error -1 reading relation 150884947 Tue Jul 7 16:12:48 2026 error -1 reading relation 153064891 Tue Jul 7 16:12:58 2026 error -15 reading relation 154212685 Tue Jul 7 16:13:22 2026 error -1 reading relation 157071380 Tue Jul 7 16:13:30 2026 error -1 reading relation 157987189 Tue Jul 7 16:14:04 2026 error -1 reading relation 161749438 Tue Jul 7 16:14:24 2026 error -1 reading relation 164078704 Tue Jul 7 16:14:50 2026 error -1 reading relation 166912686 Tue Jul 7 16:15:04 2026 error -1 reading relation 168468974 Tue Jul 7 16:15:05 2026 error -1 reading relation 168508153 Tue Jul 7 16:15:27 2026 error -1 reading relation 171209177 Tue Jul 7 16:15:40 2026 error -1 reading relation 172582878 Tue Jul 7 16:15:42 2026 error -1 reading relation 172807055 Tue Jul 7 16:16:04 2026 error -1 reading relation 175242910 Tue Jul 7 16:16:52 2026 error -1 reading relation 180305001 Tue Jul 7 16:17:42 2026 error -1 reading relation 185961235 Tue Jul 7 16:18:44 2026 error -1 reading relation 192964222 Tue Jul 7 16:18:50 2026 error -1 reading relation 193653063 Tue Jul 7 16:18:56 2026 error -1 reading relation 194325887 Tue Jul 7 16:19:23 2026 error -1 reading relation 197380146 Tue Jul 7 16:19:54 2026 error -1 reading relation 200665607 Tue Jul 7 16:20:08 2026 error -1 reading relation 202340334 Tue Jul 7 16:21:06 2026 error -1 reading relation 208572528 Tue Jul 7 16:21:09 2026 error -1 reading relation 208835710 Tue Jul 7 16:23:29 2026 error -11 reading relation 224287660 Tue Jul 7 16:23:37 2026 error -1 reading relation 225183415 Tue Jul 7 16:23:44 2026 error -1 reading relation 225937622 Tue Jul 7 16:23:44 2026 error -1 reading relation 225937623 Tue Jul 7 16:23:46 2026 error -1 reading relation 226172564 Tue Jul 7 16:23:57 2026 error -1 reading relation 227419623 Tue Jul 7 16:24:49 2026 error -1 reading relation 233282433 Tue Jul 7 16:26:06 2026 error -1 reading relation 241796428 Tue Jul 7 16:26:07 2026 error -1 reading relation 241852411 Tue Jul 7 16:26:35 2026 error -1 reading relation 244887766 Tue Jul 7 16:26:45 2026 error -1 reading relation 245934462 Tue Jul 7 16:27:13 2026 error -1 reading relation 249162290 Tue Jul 7 16:27:21 2026 error -1 reading relation 250038834 Tue Jul 7 16:27:27 2026 error -1 reading relation 250753702 Tue Jul 7 16:28:00 2026 error -1 reading relation 254313052 Tue Jul 7 16:28:06 2026 error -11 reading relation 254980126 Tue Jul 7 16:28:06 2026 error -1 reading relation 254980151 Tue Jul 7 16:28:06 2026 error -15 reading relation 254980271 Tue Jul 7 16:28:06 2026 error -11 reading relation 254980356 Tue Jul 7 16:28:06 2026 error -15 reading relation 254981422 Tue Jul 7 16:28:06 2026 error -1 reading relation 254981577 Tue Jul 7 16:28:36 2026 error -1 reading relation 258317829 Tue Jul 7 16:29:02 2026 error -1 reading relation 261152530 Tue Jul 7 16:29:04 2026 error -1 reading relation 261379792 Tue Jul 7 16:29:32 2026 error -1 reading relation 264665398 Tue Jul 7 16:29:58 2026 error -1 reading relation 267741124 Tue Jul 7 16:30:08 2026 error -1 reading relation 268969861 Tue Jul 7 16:31:08 2026 error -1 reading relation 275678095 Tue Jul 7 16:31:23 2026 error -1 reading relation 277324287 Tue Jul 7 16:31:31 2026 error -1 reading relation 278220718 Tue Jul 7 16:31:33 2026 error -1 reading relation 278528964 Tue Jul 7 16:31:51 2026 error -1 reading relation 280565148 Tue Jul 7 16:31:51 2026 error -1 reading relation 280565149 Tue Jul 7 16:31:58 2026 error -1 reading relation 281262104 Tue Jul 7 16:32:00 2026 error -1 reading relation 281446975 Tue Jul 7 16:32:03 2026 error -1 reading relation 281846563 Tue Jul 7 16:32:03 2026 error -1 reading relation 281846564 Tue Jul 7 16:32:08 2026 error -1 reading relation 282362140 Tue Jul 7 16:32:16 2026 error -1 reading relation 283221058 Tue Jul 7 16:32:29 2026 error -1 reading relation 284683407 Tue Jul 7 16:33:11 2026 error -1 reading relation 289626137 Tue Jul 7 16:33:30 2026 error -1 reading relation 291755706 Tue Jul 7 16:33:31 2026 error -1 reading relation 291939061 Tue Jul 7 16:33:36 2026 error -1 reading relation 292479501 Tue Jul 7 16:33:37 2026 error -1 reading relation 292577828 Tue Jul 7 16:35:00 2026 error -1 reading relation 301843686 Tue Jul 7 16:35:35 2026 error -11 reading relation 305104187 Tue Jul 7 16:35:35 2026 error -1 reading relation 305104188 Tue Jul 7 16:36:34 2026 error -1 reading relation 311300125 Tue Jul 7 16:37:09 2026 error -11 reading relation 314924603 Tue Jul 7 16:37:16 2026 error -1 reading relation 315677037 Tue Jul 7 16:37:20 2026 error -1 reading relation 316139717 Tue Jul 7 16:37:23 2026 error -1 reading relation 316439480 Tue Jul 7 16:37:37 2026 error -1 reading relation 317970637 Tue Jul 7 16:37:54 2026 error -1 reading relation 319907849 Tue Jul 7 16:38:00 2026 error -1 reading relation 320501380 Tue Jul 7 16:38:06 2026 error -11 reading relation 321226265 Tue Jul 7 16:38:39 2026 error -1 reading relation 324913337 Tue Jul 7 16:38:55 2026 error -1 reading relation 326660338 Tue Jul 7 16:39:02 2026 error -1 reading relation 327425440 Tue Jul 7 16:39:07 2026 error -1 reading relation 327969139 Tue Jul 7 16:39:15 2026 error -1 reading relation 328921510 Tue Jul 7 16:39:16 2026 error -1 reading relation 328971811 Tue Jul 7 16:39:27 2026 error -1 reading relation 330211718 Tue Jul 7 16:39:37 2026 error -1 reading relation 331337151 Tue Jul 7 16:39:44 2026 error -1 reading relation 332091930 Tue Jul 7 16:39:50 2026 error -1 reading relation 332713777 Tue Jul 7 16:39:50 2026 error -1 reading relation 332800047 Tue Jul 7 16:39:51 2026 error -1 reading relation 332885830 Tue Jul 7 16:40:04 2026 error -1 reading relation 334292611 Tue Jul 7 16:40:04 2026 error -1 reading relation 334292612 Tue Jul 7 16:40:20 2026 error -15 reading relation 336068074 Tue Jul 7 16:41:05 2026 error -1 reading relation 341065138 Tue Jul 7 16:43:03 2026 error -1 reading relation 353996760 Tue Jul 7 16:43:05 2026 error -1 reading relation 354265005 Tue Jul 7 16:43:24 2026 error -1 reading relation 356329522 Tue Jul 7 16:43:37 2026 error -1 reading relation 357746338 Tue Jul 7 16:44:17 2026 skipped 1 relations with composite factors Tue Jul 7 16:44:17 2026 skipped 32 malformed relations Tue Jul 7 16:44:17 2026 found 14410348 hash collisions in 361735245 relations Tue Jul 7 16:44:30 2026 commencing duplicate removal, pass 2 Tue Jul 7 16:54:31 2026 found 0 duplicates and 361735245 unique relations Tue Jul 7 16:54:31 2026 memory use: 1108.8 MB Tue Jul 7 16:54:32 2026 reading ideals above 175046656 Tue Jul 7 16:54:32 2026 commencing singleton removal, initial pass Tue Jul 7 17:47:08 2026 memory use: 6024.0 MB Tue Jul 7 17:47:09 2026 reading all ideals from disk Tue Jul 7 17:48:49 2026 memory use: 9597.5 MB Tue Jul 7 17:50:34 2026 commencing in-memory singleton removal Tue Jul 7 17:51:17 2026 begin with 361735245 relations and 311716089 unique ideals Tue Jul 7 17:55:28 2026 reduce to 231947593 relations and 168908588 ideals in 14 passes Tue Jul 7 17:55:28 2026 max relations containing the same ideal: 36 Tue Jul 7 17:55:53 2026 reading ideals above 720000 Tue Jul 7 17:55:53 2026 commencing singleton removal, initial pass Tue Jul 7 18:45:39 2026 memory use: 5512.0 MB Tue Jul 7 18:45:40 2026 reading all ideals from disk Tue Jul 7 18:49:06 2026 memory use: 11399.4 MB Tue Jul 7 18:54:54 2026 keeping 187245494 ideals with weight <= 200, target excess is 1203386 Tue Jul 7 18:56:29 2026 commencing in-memory singleton removal Tue Jul 7 18:57:10 2026 begin with 231947593 relations and 187245494 unique ideals Tue Jul 7 18:58:31 2026 reduce to 231947562 relations and 187245463 ideals in 3 passes Tue Jul 7 18:58:31 2026 max relations containing the same ideal: 200 Tue Jul 7 19:03:35 2026 removing 12722877 relations and 10722877 ideals in 2000000 cliques Tue Jul 7 19:03:47 2026 commencing in-memory singleton removal Tue Jul 7 19:04:34 2026 begin with 219224685 relations and 187245463 unique ideals Tue Jul 7 19:08:43 2026 reduce to 218697607 relations and 175989381 ideals in 9 passes Tue Jul 7 19:08:43 2026 max relations containing the same ideal: 199 Tue Jul 7 19:13:18 2026 removing 9633708 relations and 7633708 ideals in 2000000 cliques Tue Jul 7 19:13:29 2026 commencing in-memory singleton removal Tue Jul 7 19:14:09 2026 begin with 209063899 relations and 175989381 unique ideals Tue Jul 7 19:17:40 2026 reduce to 208721440 relations and 168009889 ideals in 8 passes Tue Jul 7 19:17:40 2026 max relations containing the same ideal: 195 Tue Jul 7 19:21:59 2026 removing 8668446 relations and 6668446 ideals in 2000000 cliques Tue Jul 7 19:22:10 2026 commencing in-memory singleton removal Tue Jul 7 19:22:53 2026 begin with 200052994 relations and 168009889 unique ideals Tue Jul 7 19:25:53 2026 reduce to 199756546 relations and 161042188 ideals in 7 passes Tue Jul 7 19:25:53 2026 max relations containing the same ideal: 190 Tue Jul 7 19:30:08 2026 removing 8144036 relations and 6144036 ideals in 2000000 cliques Tue Jul 7 19:30:18 2026 commencing in-memory singleton removal Tue Jul 7 19:30:53 2026 begin with 191612510 relations and 161042188 unique ideals Tue Jul 7 19:33:18 2026 reduce to 191338527 relations and 154621527 ideals in 6 passes Tue Jul 7 19:33:18 2026 max relations containing the same ideal: 186 Tue Jul 7 19:37:18 2026 removing 7806423 relations and 5806423 ideals in 2000000 cliques Tue Jul 7 19:37:27 2026 commencing in-memory singleton removal Tue Jul 7 19:38:04 2026 begin with 183532104 relations and 154621527 unique ideals Tue Jul 7 19:40:43 2026 reduce to 183269258 relations and 148549698 ideals in 7 passes Tue Jul 7 19:40:43 2026 max relations containing the same ideal: 184 Tue Jul 7 19:44:31 2026 removing 7572395 relations and 5572395 ideals in 2000000 cliques Tue Jul 7 19:44:40 2026 commencing in-memory singleton removal Tue Jul 7 19:45:14 2026 begin with 175696863 relations and 148549698 unique ideals Tue Jul 7 19:47:23 2026 reduce to 175439902 relations and 142717714 ideals in 6 passes Tue Jul 7 19:47:23 2026 max relations containing the same ideal: 176 Tue Jul 7 19:50:59 2026 removing 7399235 relations and 5399235 ideals in 2000000 cliques Tue Jul 7 19:51:09 2026 commencing in-memory singleton removal Tue Jul 7 19:51:38 2026 begin with 168040667 relations and 142717714 unique ideals Tue Jul 7 19:54:01 2026 reduce to 167786159 relations and 137061237 ideals in 7 passes Tue Jul 7 19:54:01 2026 max relations containing the same ideal: 172 Tue Jul 7 19:57:23 2026 removing 7275538 relations and 5275538 ideals in 2000000 cliques Tue Jul 7 19:57:32 2026 commencing in-memory singleton removal Tue Jul 7 19:58:03 2026 begin with 160510621 relations and 137061237 unique ideals Tue Jul 7 19:59:56 2026 reduce to 160255522 relations and 131527689 ideals in 6 passes Tue Jul 7 19:59:56 2026 max relations containing the same ideal: 167 Tue Jul 7 20:03:12 2026 removing 7185364 relations and 5185364 ideals in 2000000 cliques Tue Jul 7 20:03:20 2026 commencing in-memory singleton removal Tue Jul 7 20:03:51 2026 begin with 153070158 relations and 131527689 unique ideals Tue Jul 7 20:05:41 2026 reduce to 152811763 relations and 126080936 ideals in 6 passes Tue Jul 7 20:05:41 2026 max relations containing the same ideal: 162 Tue Jul 7 20:08:47 2026 removing 7112181 relations and 5112181 ideals in 2000000 cliques Tue Jul 7 20:08:56 2026 commencing in-memory singleton removal Tue Jul 7 20:09:24 2026 begin with 145699582 relations and 126080936 unique ideals Tue Jul 7 20:11:07 2026 reduce to 145436148 relations and 120702079 ideals in 6 passes Tue Jul 7 20:11:07 2026 max relations containing the same ideal: 156 Tue Jul 7 20:14:02 2026 removing 7065875 relations and 5065875 ideals in 2000000 cliques Tue Jul 7 20:14:09 2026 commencing in-memory singleton removal Tue Jul 7 20:14:33 2026 begin with 138370273 relations and 120702079 unique ideals Tue Jul 7 20:16:24 2026 reduce to 138098568 relations and 115360955 ideals in 7 passes Tue Jul 7 20:16:24 2026 max relations containing the same ideal: 150 Tue Jul 7 20:19:13 2026 removing 7032622 relations and 5032622 ideals in 2000000 cliques Tue Jul 7 20:19:20 2026 commencing in-memory singleton removal Tue Jul 7 20:19:43 2026 begin with 131065946 relations and 115360955 unique ideals Tue Jul 7 20:21:53 2026 reduce to 130784906 relations and 110043468 ideals in 9 passes Tue Jul 7 20:21:53 2026 max relations containing the same ideal: 146 Tue Jul 7 20:24:33 2026 removing 7011154 relations and 5011154 ideals in 2000000 cliques Tue Jul 7 20:24:41 2026 commencing in-memory singleton removal Tue Jul 7 20:25:03 2026 begin with 123773752 relations and 110043468 unique ideals Tue Jul 7 20:26:43 2026 reduce to 123479655 relations and 104734126 ideals in 7 passes Tue Jul 7 20:26:43 2026 max relations containing the same ideal: 140 Tue Jul 7 20:29:11 2026 removing 7009153 relations and 5009153 ideals in 2000000 cliques Tue Jul 7 20:29:18 2026 commencing in-memory singleton removal Tue Jul 7 20:29:37 2026 begin with 116470502 relations and 104734126 unique ideals Tue Jul 7 20:31:06 2026 reduce to 116161851 relations and 99411871 ideals in 7 passes Tue Jul 7 20:31:06 2026 max relations containing the same ideal: 136 Tue Jul 7 20:33:31 2026 removing 7018124 relations and 5018124 ideals in 2000000 cliques Tue Jul 7 20:33:37 2026 commencing in-memory singleton removal Tue Jul 7 20:33:56 2026 begin with 109143727 relations and 99411871 unique ideals Tue Jul 7 20:35:19 2026 reduce to 108816997 relations and 94061911 ideals in 7 passes Tue Jul 7 20:35:19 2026 max relations containing the same ideal: 128 Tue Jul 7 20:37:31 2026 removing 7042512 relations and 5042512 ideals in 2000000 cliques Tue Jul 7 20:37:38 2026 commencing in-memory singleton removal Tue Jul 7 20:37:56 2026 begin with 101774485 relations and 94061911 unique ideals Tue Jul 7 20:39:23 2026 reduce to 101425553 relations and 88664704 ideals in 8 passes Tue Jul 7 20:39:23 2026 max relations containing the same ideal: 125 Tue Jul 7 20:41:26 2026 removing 7076690 relations and 5076690 ideals in 2000000 cliques Tue Jul 7 20:41:32 2026 commencing in-memory singleton removal Tue Jul 7 20:41:48 2026 begin with 94348863 relations and 88664704 unique ideals Tue Jul 7 20:43:08 2026 reduce to 93972966 relations and 83205636 ideals in 8 passes Tue Jul 7 20:43:08 2026 max relations containing the same ideal: 120 Tue Jul 7 20:45:04 2026 removing 7128981 relations and 5128981 ideals in 2000000 cliques Tue Jul 7 20:45:09 2026 commencing in-memory singleton removal Tue Jul 7 20:45:23 2026 begin with 86843985 relations and 83205636 unique ideals Tue Jul 7 20:46:36 2026 reduce to 86433998 relations and 77659123 ideals in 8 passes Tue Jul 7 20:46:36 2026 max relations containing the same ideal: 115 Tue Jul 7 20:48:24 2026 removing 7196675 relations and 5196675 ideals in 2000000 cliques Tue Jul 7 20:48:29 2026 commencing in-memory singleton removal Tue Jul 7 20:48:42 2026 begin with 79237323 relations and 77659123 unique ideals Tue Jul 7 20:49:41 2026 reduce to 78785304 relations and 72001307 ideals in 7 passes Tue Jul 7 20:49:41 2026 max relations containing the same ideal: 105 Tue Jul 7 20:51:17 2026 removing 7283229 relations and 5283229 ideals in 2000000 cliques Tue Jul 7 20:51:22 2026 commencing in-memory singleton removal Tue Jul 7 20:51:34 2026 begin with 71502075 relations and 72001307 unique ideals Tue Jul 7 20:52:31 2026 reduce to 70990193 relations and 66195136 ideals in 8 passes Tue Jul 7 20:52:31 2026 max relations containing the same ideal: 97 Tue Jul 7 20:53:58 2026 removing 7392166 relations and 5392166 ideals in 2000000 cliques Tue Jul 7 20:54:03 2026 commencing in-memory singleton removal Tue Jul 7 20:54:12 2026 begin with 63598027 relations and 66195136 unique ideals Tue Jul 7 20:55:01 2026 reduce to 63012630 relations and 60203492 ideals in 8 passes Tue Jul 7 20:55:01 2026 max relations containing the same ideal: 91 Tue Jul 7 20:56:16 2026 removing 5694848 relations and 4281638 ideals in 1413210 cliques Tue Jul 7 20:56:20 2026 commencing in-memory singleton removal Tue Jul 7 20:56:28 2026 begin with 57317782 relations and 60203492 unique ideals Tue Jul 7 20:57:09 2026 reduce to 56928049 relations and 55524602 ideals in 8 passes Tue Jul 7 20:57:09 2026 max relations containing the same ideal: 87 Tue Jul 7 20:58:32 2026 relations with 0 large ideals: 44720 Tue Jul 7 20:58:32 2026 relations with 1 large ideals: 16833 Tue Jul 7 20:58:32 2026 relations with 2 large ideals: 239873 Tue Jul 7 20:58:32 2026 relations with 3 large ideals: 1565370 Tue Jul 7 20:58:32 2026 relations with 4 large ideals: 5507878 Tue Jul 7 20:58:32 2026 relations with 5 large ideals: 11575521 Tue Jul 7 20:58:32 2026 relations with 6 large ideals: 15187591 Tue Jul 7 20:58:32 2026 relations with 7+ large ideals: 22790263 Tue Jul 7 20:58:32 2026 commencing 2-way merge Tue Jul 7 21:00:16 2026 reduce to 35956471 relation sets and 34553024 unique ideals Tue Jul 7 21:00:16 2026 commencing full merge Tue Jul 7 21:24:16 2026 memory use: 4339.7 MB Tue Jul 7 21:24:24 2026 found 18717480 cycles, need 18521224 Tue Jul 7 21:24:37 2026 weight of 18521224 cycles is about 1481727625 (80.00/cycle) Tue Jul 7 21:24:37 2026 distribution of cycle lengths: Tue Jul 7 21:24:37 2026 1 relations: 2070747 Tue Jul 7 21:24:37 2026 2 relations: 1979125 Tue Jul 7 21:24:37 2026 3 relations: 1997735 Tue Jul 7 21:24:37 2026 4 relations: 1919887 Tue Jul 7 21:24:37 2026 5 relations: 1860646 Tue Jul 7 21:24:37 2026 6 relations: 1711560 Tue Jul 7 21:24:37 2026 7 relations: 1534244 Tue Jul 7 21:24:37 2026 8 relations: 1321362 Tue Jul 7 21:24:37 2026 9 relations: 1092561 Tue Jul 7 21:24:37 2026 10+ relations: 3033357 Tue Jul 7 21:24:37 2026 heaviest cycle: 21 relations Tue Jul 7 21:24:48 2026 commencing cycle optimization Tue Jul 7 21:26:06 2026 start with 106779732 relations Tue Jul 7 21:32:06 2026 pruned 2914210 relations Tue Jul 7 21:32:11 2026 memory use: 3431.1 MB Tue Jul 7 21:32:11 2026 distribution of cycle lengths: Tue Jul 7 21:32:11 2026 1 relations: 2070747 Tue Jul 7 21:32:11 2026 2 relations: 2019064 Tue Jul 7 21:32:11 2026 3 relations: 2065046 Tue Jul 7 21:32:11 2026 4 relations: 1974465 Tue Jul 7 21:32:11 2026 5 relations: 1922471 Tue Jul 7 21:32:11 2026 6 relations: 1756550 Tue Jul 7 21:32:11 2026 7 relations: 1571771 Tue Jul 7 21:32:11 2026 8 relations: 1334004 Tue Jul 7 21:32:11 2026 9 relations: 1088877 Tue Jul 7 21:32:11 2026 10+ relations: 2718229 Tue Jul 7 21:32:11 2026 heaviest cycle: 21 relations Tue Jul 7 21:33:20 2026 RelProcTime: 20478 Tue Jul 7 21:33:20 2026 Tue Jul 7 21:33:20 2026 commencing linear algebra Tue Jul 7 21:33:20 2026 using VBITS=256 Tue Jul 7 21:33:23 2026 read 18521224 cycles Tue Jul 7 21:34:16 2026 cycles contain 56024179 unique relations Tue Jul 7 21:42:08 2026 read 56024179 relations Tue Jul 7 21:48:11 2026 using 20 quadratic characters above 4294917295 Tue Jul 7 21:51:33 2026 building initial matrix Tue Jul 7 22:08:49 2026 memory use: 7017.6 MB Tue Jul 7 22:09:26 2026 read 18521224 cycles Tue Jul 7 22:09:30 2026 matrix is 18521047 x 18521224 (6215.3 MB) with weight 1798426682 (97.10/col) Tue Jul 7 22:09:30 2026 sparse part has weight 1425575709 (76.97/col) Tue Jul 7 22:15:53 2026 filtering completed in 2 passes Tue Jul 7 22:16:01 2026 matrix is 18516409 x 18516579 (6215.0 MB) with weight 1798296195 (97.12/col) Tue Jul 7 22:16:01 2026 sparse part has weight 1425534447 (76.99/col) Tue Jul 7 22:17:09 2026 matrix starts at (0, 0) Tue Jul 7 22:17:12 2026 matrix is 18516409 x 18516579 (6215.0 MB) with weight 1798296195 (97.12/col) Tue Jul 7 22:17:12 2026 sparse part has weight 1425534447 (76.99/col) Tue Jul 7 22:17:12 2026 saving the first 240 matrix rows for later Tue Jul 7 22:17:18 2026 matrix includes 256 packed rows Tue Jul 7 22:17:27 2026 matrix is 18516169 x 18516579 (5846.6 MB) with weight 1301435347 (70.28/col) Tue Jul 7 22:17:27 2026 sparse part has weight 1236390448 (66.77/col) Tue Jul 7 22:17:28 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Jul 7 22:17:28 2026 selected card has CUDA arch 8.6 Wed Jul 8 00:46:06 2026 commencing Lanczos iteration Wed Jul 8 00:46:53 2026 memory use: 14094.8 MB Wed Jul 8 00:52:38 2026 linear algebra at 0.2%, ETA 55h 0m Wed Jul 8 01:00:52 2026 checking every 10000 dimensions, checkpointing every 340000 dimensions Thu Jul 9 18:58:28 2026 lanczos halted after 72545 iterations (dim = 18516168) Thu Jul 9 18:59:41 2026 recovered 35 nontrivial dependencies Thu Jul 9 18:59:45 2026 BLanczosTime: 163585 Thu Jul 9 18:59:45 2026 Thu Jul 9 18:59:45 2026 commencing square root phase Thu Jul 9 18:59:45 2026 handling dependencies 1 to 64 Thu Jul 9 18:59:45 2026 reading relations for dependency 1 Thu Jul 9 19:01:06 2026 read 9258228 cycles Thu Jul 9 19:01:15 2026 cycles contain 28014202 unique relations Thu Jul 9 19:03:22 2026 read 28014202 relations Thu Jul 9 19:05:52 2026 multiplying 28014202 relations Thu Jul 9 19:08:57 2026 multiply complete, coefficients have about 749.12 million bits Thu Jul 9 19:08:58 2026 initial square root is modulo 5256697 Thu Jul 9 19:14:22 2026 GCD is 1, no factor found Thu Jul 9 19:14:22 2026 reading relations for dependency 2 Thu Jul 9 19:14:24 2026 read 9259052 cycles Thu Jul 9 19:14:31 2026 cycles contain 28006634 unique relations Thu Jul 9 19:16:46 2026 read 28006634 relations Thu Jul 9 19:19:14 2026 multiplying 28006634 relations Thu Jul 9 19:22:22 2026 multiply complete, coefficients have about 748.92 million bits Thu Jul 9 19:22:23 2026 initial square root is modulo 5235649 Thu Jul 9 19:27:47 2026 GCD is N, no factor found Thu Jul 9 19:27:47 2026 reading relations for dependency 3 Thu Jul 9 19:27:49 2026 read 9258286 cycles Thu Jul 9 19:27:57 2026 cycles contain 28012686 unique relations Thu Jul 9 19:30:13 2026 read 28012686 relations Thu Jul 9 19:32:30 2026 multiplying 28012686 relations Thu Jul 9 19:35:42 2026 multiply complete, coefficients have about 749.07 million bits Thu Jul 9 19:35:43 2026 initial square root is modulo 5252209 Thu Jul 9 19:41:08 2026 sqrtTime: 2483 Thu Jul 9 19:41:08 2026 p82 factor: 3200917485379128748405481878044620779310904488669249475425418940779596944874345497 Thu Jul 9 19:41:08 2026 p158 factor: 36312216330349174320476337302405524273265165276896417565291313822320546392929997032631743266705483217250119432469685317551412104973611734144067670762940870497 Thu Jul 9 19:41:08 2026 elapsed time 51:49:08