Sun Sep 21 09:02:48 2025 Sun Sep 21 09:02:48 2025 Sun Sep 21 09:02:48 2025 Msieve v. 1.54 (SVN 1018) Sun Sep 21 09:02:48 2025 random seeds: e1a46690 f87cee0c Sun Sep 21 09:02:48 2025 factoring 227185435051368307314408238834068115691351776338356588674334725386749132064516611247372763675987770879718892231389630968438843676139966674342003542777863874736231448082083195131871698277399495332818105144472468935195416812928346169190507252069841882570157 (255 digits) Sun Sep 21 09:02:49 2025 searching for 15-digit factors Sun Sep 21 09:02:49 2025 commencing number field sieve (255-digit input) Sun Sep 21 09:02:50 2025 R0: 25397652694505813866070015990659936347412758528 Sun Sep 21 09:02:50 2025 R1: -2183814375991796599109312252753832343 Sun Sep 21 09:02:50 2025 A0: 1 Sun Sep 21 09:02:50 2025 A1: 1 Sun Sep 21 09:02:50 2025 A2: 1 Sun Sep 21 09:02:50 2025 A3: 1 Sun Sep 21 09:02:50 2025 A4: 1 Sun Sep 21 09:02:50 2025 A5: 1 Sun Sep 21 09:02:50 2025 A6: 1 Sun Sep 21 09:02:50 2025 skew 1.00, size 1.072e-013, alpha 2.428, combined = 2.110e-014 rroots = 0 Sun Sep 21 09:02:50 2025 Sun Sep 21 09:02:50 2025 commencing relation filtering Sun Sep 21 09:02:50 2025 setting target matrix density to 120.0 Sun Sep 21 09:02:50 2025 estimated available RAM is 130978.7 MB Sun Sep 21 09:02:50 2025 commencing duplicate removal, pass 1 Sun Sep 21 09:03:40 2025 error -15 reading relation 6458656 Sun Sep 21 09:03:47 2025 error -9 reading relation 7348952 Sun Sep 21 09:04:11 2025 error -9 reading relation 10407423 Sun Sep 21 09:04:15 2025 error -9 reading relation 10982061 Sun Sep 21 09:04:56 2025 error -9 reading relation 16177491 Sun Sep 21 09:06:18 2025 error -9 reading relation 26748187 Sun Sep 21 09:06:18 2025 error -15 reading relation 26749163 Sun Sep 21 11:01:10 2025 error -1 reading relation 926750652 Sun Sep 21 11:01:14 2025 error -1 reading relation 927297680 Sun Sep 21 11:01:24 2025 error -15 reading relation 928754959 Sun Sep 21 11:01:25 2025 error -9 reading relation 928861795 Sun Sep 21 11:01:27 2025 skipped 9065 relations with b > 2^32 Sun Sep 21 11:01:27 2025 skipped 782 relations with composite factors Sun Sep 21 11:01:27 2025 found 255313641 hash collisions in 929099746 relations Sun Sep 21 11:01:39 2025 added 2438534 free relations Sun Sep 21 11:01:39 2025 commencing duplicate removal, pass 2 Sun Sep 21 11:22:22 2025 found 236338578 duplicates and 695199702 unique relations Sun Sep 21 11:22:22 2025 memory use: 8780.0 MB Sun Sep 21 11:22:22 2025 reading ideals above 405864448 Sun Sep 21 11:22:22 2025 commencing singleton removal, initial pass Sun Sep 21 12:34:11 2025 memory use: 11024.0 MB Sun Sep 21 12:34:12 2025 reading all ideals from disk Sun Sep 21 12:34:18 2025 memory use: 12432.2 MB Sun Sep 21 12:35:04 2025 commencing in-memory singleton removal Sun Sep 21 12:35:50 2025 begin with 695199702 relations and 581711370 unique ideals Sun Sep 21 12:43:53 2025 reduce to 444060701 relations and 305865844 ideals in 15 passes Sun Sep 21 12:43:53 2025 max relations containing the same ideal: 33 Sun Sep 21 12:44:48 2025 reading ideals above 720000 Sun Sep 21 12:44:49 2025 commencing singleton removal, initial pass Sun Sep 21 13:53:05 2025 memory use: 11024.0 MB Sun Sep 21 13:53:06 2025 reading all ideals from disk Sun Sep 21 13:53:19 2025 memory use: 19107.1 MB Sun Sep 21 13:54:56 2025 keeping 346823267 ideals with weight <= 200, target excess is 2306311 Sun Sep 21 13:56:36 2025 commencing in-memory singleton removal Sun Sep 21 13:57:44 2025 begin with 444060701 relations and 346823267 unique ideals Sun Sep 21 14:04:14 2025 reduce to 444055874 relations and 346818440 ideals in 6 passes Sun Sep 21 14:04:14 2025 max relations containing the same ideal: 200 Sun Sep 21 14:09:14 2025 removing 13927577 relations and 11927577 ideals in 2000000 cliques Sun Sep 21 14:09:23 2025 commencing in-memory singleton removal Sun Sep 21 14:10:28 2025 begin with 430128297 relations and 346818440 unique ideals Sun Sep 21 14:17:47 2025 reduce to 429820072 relations and 334580735 ideals in 7 passes Sun Sep 21 14:17:48 2025 max relations containing the same ideal: 200 Sun Sep 21 14:22:37 2025 removing 10552413 relations and 8552413 ideals in 2000000 cliques Sun Sep 21 14:22:45 2025 commencing in-memory singleton removal Sun Sep 21 14:23:49 2025 begin with 419267659 relations and 334580735 unique ideals Sun Sep 21 14:30:56 2025 reduce to 419070449 relations and 325830056 ideals in 7 passes Sun Sep 21 14:30:57 2025 max relations containing the same ideal: 200 Sun Sep 21 14:35:40 2025 removing 9466266 relations and 7466266 ideals in 2000000 cliques Sun Sep 21 14:35:48 2025 commencing in-memory singleton removal Sun Sep 21 14:36:50 2025 begin with 409604183 relations and 325830056 unique ideals Sun Sep 21 14:44:46 2025 reduce to 409436317 relations and 318195055 ideals in 8 passes Sun Sep 21 14:44:47 2025 max relations containing the same ideal: 198 Sun Sep 21 14:49:25 2025 removing 8840594 relations and 6840594 ideals in 2000000 cliques Sun Sep 21 14:49:33 2025 commencing in-memory singleton removal Sun Sep 21 14:50:35 2025 begin with 400595723 relations and 318195055 unique ideals Sun Sep 21 14:57:29 2025 reduce to 400443076 relations and 311201101 ideals in 7 passes Sun Sep 21 14:57:29 2025 max relations containing the same ideal: 196 Sun Sep 21 15:02:09 2025 removing 8420437 relations and 6420437 ideals in 2000000 cliques Sun Sep 21 15:02:16 2025 commencing in-memory singleton removal Sun Sep 21 15:03:17 2025 begin with 392022639 relations and 311201101 unique ideals Sun Sep 21 15:09:00 2025 reduce to 391879041 relations and 304636361 ideals in 6 passes Sun Sep 21 15:09:01 2025 max relations containing the same ideal: 194 Sun Sep 21 15:13:34 2025 removing 8107800 relations and 6107800 ideals in 2000000 cliques Sun Sep 21 15:13:41 2025 commencing in-memory singleton removal Sun Sep 21 15:14:39 2025 begin with 383771241 relations and 304636361 unique ideals Sun Sep 21 15:21:07 2025 reduce to 383635058 relations and 298391689 ideals in 7 passes Sun Sep 21 15:21:08 2025 max relations containing the same ideal: 192 Sun Sep 21 15:25:28 2025 removing 7866211 relations and 5866211 ideals in 2000000 cliques Sun Sep 21 15:25:35 2025 commencing in-memory singleton removal Sun Sep 21 15:26:33 2025 begin with 375768847 relations and 298391689 unique ideals Sun Sep 21 15:32:05 2025 reduce to 375637223 relations and 292393157 ideals in 6 passes Sun Sep 21 15:32:06 2025 max relations containing the same ideal: 190 Sun Sep 21 15:36:32 2025 removing 7673746 relations and 5673746 ideals in 2000000 cliques Sun Sep 21 15:36:39 2025 commencing in-memory singleton removal Sun Sep 21 15:37:36 2025 begin with 367963477 relations and 292393157 unique ideals Sun Sep 21 15:43:01 2025 reduce to 367834821 relations and 286590076 ideals in 6 passes Sun Sep 21 15:43:01 2025 max relations containing the same ideal: 190 Sun Sep 21 15:47:22 2025 removing 7524457 relations and 5524457 ideals in 2000000 cliques Sun Sep 21 15:47:29 2025 commencing in-memory singleton removal Sun Sep 21 15:48:24 2025 begin with 360310364 relations and 286590076 unique ideals Sun Sep 21 15:55:22 2025 reduce to 360183652 relations and 280938177 ideals in 8 passes Sun Sep 21 15:55:23 2025 max relations containing the same ideal: 187 Sun Sep 21 15:59:28 2025 removing 7394463 relations and 5394463 ideals in 2000000 cliques Sun Sep 21 15:59:35 2025 commencing in-memory singleton removal Sun Sep 21 16:00:28 2025 begin with 352789189 relations and 280938177 unique ideals Sun Sep 21 16:05:33 2025 reduce to 352665069 relations and 275418908 ideals in 6 passes Sun Sep 21 16:05:34 2025 max relations containing the same ideal: 186 Sun Sep 21 16:09:34 2025 removing 7285530 relations and 5285530 ideals in 2000000 cliques Sun Sep 21 16:09:40 2025 commencing in-memory singleton removal Sun Sep 21 16:10:33 2025 begin with 345379539 relations and 275418908 unique ideals Sun Sep 21 16:15:31 2025 reduce to 345255602 relations and 270008777 ideals in 6 passes Sun Sep 21 16:15:32 2025 max relations containing the same ideal: 183 Sun Sep 21 16:19:27 2025 removing 7194168 relations and 5194168 ideals in 2000000 cliques Sun Sep 21 16:19:33 2025 commencing in-memory singleton removal Sun Sep 21 16:20:24 2025 begin with 338061434 relations and 270008777 unique ideals Sun Sep 21 16:25:16 2025 reduce to 337938068 relations and 264690484 ideals in 6 passes Sun Sep 21 16:25:16 2025 max relations containing the same ideal: 177 Sun Sep 21 16:29:06 2025 removing 7116524 relations and 5116524 ideals in 2000000 cliques Sun Sep 21 16:29:12 2025 commencing in-memory singleton removal Sun Sep 21 16:30:02 2025 begin with 330821544 relations and 264690484 unique ideals Sun Sep 21 16:34:47 2025 reduce to 330698328 relations and 259449975 ideals in 6 passes Sun Sep 21 16:34:47 2025 max relations containing the same ideal: 176 Sun Sep 21 16:38:33 2025 removing 7047280 relations and 5047280 ideals in 2000000 cliques Sun Sep 21 16:38:38 2025 commencing in-memory singleton removal Sun Sep 21 16:39:27 2025 begin with 323651048 relations and 259449975 unique ideals Sun Sep 21 16:44:06 2025 reduce to 323528114 relations and 254278996 ideals in 6 passes Sun Sep 21 16:44:07 2025 max relations containing the same ideal: 173 Sun Sep 21 16:47:48 2025 removing 6988024 relations and 4988024 ideals in 2000000 cliques Sun Sep 21 16:47:54 2025 commencing in-memory singleton removal Sun Sep 21 16:48:41 2025 begin with 316540090 relations and 254278996 unique ideals Sun Sep 21 16:53:14 2025 reduce to 316414817 relations and 249164882 ideals in 6 passes Sun Sep 21 16:53:14 2025 max relations containing the same ideal: 171 Sun Sep 21 16:56:51 2025 removing 6940806 relations and 4940806 ideals in 2000000 cliques Sun Sep 21 16:56:57 2025 commencing in-memory singleton removal Sun Sep 21 16:57:43 2025 begin with 309474011 relations and 249164882 unique ideals Sun Sep 21 17:02:53 2025 reduce to 309349159 relations and 244098340 ideals in 7 passes Sun Sep 21 17:02:54 2025 max relations containing the same ideal: 169 Sun Sep 21 17:06:26 2025 removing 6899306 relations and 4899306 ideals in 2000000 cliques Sun Sep 21 17:06:31 2025 commencing in-memory singleton removal Sun Sep 21 17:07:17 2025 begin with 302449853 relations and 244098340 unique ideals Sun Sep 21 17:11:36 2025 reduce to 302323727 relations and 239072018 ideals in 6 passes Sun Sep 21 17:11:37 2025 max relations containing the same ideal: 166 Sun Sep 21 17:15:04 2025 removing 6859221 relations and 4859221 ideals in 2000000 cliques Sun Sep 21 17:15:09 2025 commencing in-memory singleton removal Sun Sep 21 17:15:53 2025 begin with 295464506 relations and 239072018 unique ideals Sun Sep 21 17:20:07 2025 reduce to 295337882 relations and 234085239 ideals in 6 passes Sun Sep 21 17:20:08 2025 max relations containing the same ideal: 165 Sun Sep 21 17:23:31 2025 removing 6829762 relations and 4829762 ideals in 2000000 cliques Sun Sep 21 17:23:37 2025 commencing in-memory singleton removal Sun Sep 21 17:24:19 2025 begin with 288508120 relations and 234085239 unique ideals Sun Sep 21 17:28:26 2025 reduce to 288378425 relations and 229124873 ideals in 6 passes Sun Sep 21 17:28:27 2025 max relations containing the same ideal: 162 Sun Sep 21 17:31:45 2025 removing 6802305 relations and 4802305 ideals in 2000000 cliques Sun Sep 21 17:31:51 2025 commencing in-memory singleton removal Sun Sep 21 17:32:33 2025 begin with 281576120 relations and 229124873 unique ideals Sun Sep 21 17:36:34 2025 reduce to 281444992 relations and 224190396 ideals in 6 passes Sun Sep 21 17:36:34 2025 max relations containing the same ideal: 161 Sun Sep 21 17:39:48 2025 removing 6776955 relations and 4776955 ideals in 2000000 cliques Sun Sep 21 17:39:53 2025 commencing in-memory singleton removal Sun Sep 21 17:40:33 2025 begin with 274668037 relations and 224190396 unique ideals Sun Sep 21 17:44:27 2025 reduce to 274534826 relations and 219279074 ideals in 6 passes Sun Sep 21 17:44:27 2025 max relations containing the same ideal: 157 Sun Sep 21 17:47:36 2025 removing 6760592 relations and 4760592 ideals in 2000000 cliques Sun Sep 21 17:47:41 2025 commencing in-memory singleton removal Sun Sep 21 17:48:21 2025 begin with 267774234 relations and 219279074 unique ideals Sun Sep 21 17:52:09 2025 reduce to 267639413 relations and 214382536 ideals in 6 passes Sun Sep 21 17:52:10 2025 max relations containing the same ideal: 154 Sun Sep 21 17:55:15 2025 removing 6744390 relations and 4744390 ideals in 2000000 cliques Sun Sep 21 17:55:21 2025 commencing in-memory singleton removal Sun Sep 21 17:55:59 2025 begin with 260895023 relations and 214382536 unique ideals Sun Sep 21 17:59:43 2025 reduce to 260757544 relations and 209499499 ideals in 6 passes Sun Sep 21 17:59:44 2025 max relations containing the same ideal: 152 Sun Sep 21 18:02:44 2025 removing 6735455 relations and 4735455 ideals in 2000000 cliques Sun Sep 21 18:02:49 2025 commencing in-memory singleton removal Sun Sep 21 18:03:27 2025 begin with 254022089 relations and 209499499 unique ideals Sun Sep 21 18:07:03 2025 reduce to 253882383 relations and 204623170 ideals in 6 passes Sun Sep 21 18:07:04 2025 max relations containing the same ideal: 150 Sun Sep 21 18:10:00 2025 removing 6726564 relations and 4726564 ideals in 2000000 cliques Sun Sep 21 18:10:05 2025 commencing in-memory singleton removal Sun Sep 21 18:10:40 2025 begin with 247155819 relations and 204623170 unique ideals Sun Sep 21 18:14:45 2025 reduce to 247012013 relations and 199751515 ideals in 7 passes Sun Sep 21 18:14:45 2025 max relations containing the same ideal: 146 Sun Sep 21 18:17:36 2025 removing 6722081 relations and 4722081 ideals in 2000000 cliques Sun Sep 21 18:17:41 2025 commencing in-memory singleton removal Sun Sep 21 18:18:17 2025 begin with 240289932 relations and 199751515 unique ideals Sun Sep 21 18:21:40 2025 reduce to 240141897 relations and 194880089 ideals in 6 passes Sun Sep 21 18:21:40 2025 max relations containing the same ideal: 144 Sun Sep 21 18:24:28 2025 removing 6722794 relations and 4722794 ideals in 2000000 cliques Sun Sep 21 18:24:32 2025 commencing in-memory singleton removal Sun Sep 21 18:25:06 2025 begin with 233419103 relations and 194880089 unique ideals Sun Sep 21 18:28:24 2025 reduce to 233268170 relations and 190004982 ideals in 6 passes Sun Sep 21 18:28:24 2025 max relations containing the same ideal: 141 Sun Sep 21 18:31:06 2025 removing 6722343 relations and 4722343 ideals in 2000000 cliques Sun Sep 21 18:31:11 2025 commencing in-memory singleton removal Sun Sep 21 18:31:43 2025 begin with 226545827 relations and 190004982 unique ideals Sun Sep 21 18:34:55 2025 reduce to 226390708 relations and 185126071 ideals in 6 passes Sun Sep 21 18:34:55 2025 max relations containing the same ideal: 139 Sun Sep 21 18:37:32 2025 removing 6728285 relations and 4728285 ideals in 2000000 cliques Sun Sep 21 18:37:37 2025 commencing in-memory singleton removal Sun Sep 21 18:38:09 2025 begin with 219662423 relations and 185126071 unique ideals Sun Sep 21 18:41:14 2025 reduce to 219503188 relations and 180236967 ideals in 6 passes Sun Sep 21 18:41:14 2025 max relations containing the same ideal: 136 Sun Sep 21 18:43:47 2025 removing 6735968 relations and 4735968 ideals in 2000000 cliques Sun Sep 21 18:43:52 2025 commencing in-memory singleton removal Sun Sep 21 18:44:23 2025 begin with 212767220 relations and 180236967 unique ideals Sun Sep 21 18:47:21 2025 reduce to 212603450 relations and 175335506 ideals in 6 passes Sun Sep 21 18:47:22 2025 max relations containing the same ideal: 136 Sun Sep 21 18:49:50 2025 removing 6746294 relations and 4746294 ideals in 2000000 cliques Sun Sep 21 18:49:54 2025 commencing in-memory singleton removal Sun Sep 21 18:50:23 2025 begin with 205857156 relations and 175335506 unique ideals Sun Sep 21 18:53:17 2025 reduce to 205689524 relations and 170419778 ideals in 6 passes Sun Sep 21 18:53:17 2025 max relations containing the same ideal: 134 Sun Sep 21 18:55:41 2025 removing 6762693 relations and 4762693 ideals in 2000000 cliques Sun Sep 21 18:55:45 2025 commencing in-memory singleton removal Sun Sep 21 18:56:14 2025 begin with 198926831 relations and 170419778 unique ideals Sun Sep 21 18:59:01 2025 reduce to 198754787 relations and 165483174 ideals in 6 passes Sun Sep 21 18:59:01 2025 max relations containing the same ideal: 131 Sun Sep 21 19:01:20 2025 removing 6775487 relations and 4775487 ideals in 2000000 cliques Sun Sep 21 19:01:24 2025 commencing in-memory singleton removal Sun Sep 21 19:01:52 2025 begin with 191979300 relations and 165483174 unique ideals Sun Sep 21 19:04:58 2025 reduce to 191800016 relations and 160526494 ideals in 7 passes Sun Sep 21 19:04:59 2025 max relations containing the same ideal: 128 Sun Sep 21 19:07:13 2025 removing 6795816 relations and 4795816 ideals in 2000000 cliques Sun Sep 21 19:07:17 2025 commencing in-memory singleton removal Sun Sep 21 19:07:43 2025 begin with 185004200 relations and 160526494 unique ideals Sun Sep 21 19:10:42 2025 reduce to 184819386 relations and 155543795 ideals in 7 passes Sun Sep 21 19:10:43 2025 max relations containing the same ideal: 126 Sun Sep 21 19:12:52 2025 removing 6816157 relations and 4816157 ideals in 2000000 cliques Sun Sep 21 19:12:56 2025 commencing in-memory singleton removal Sun Sep 21 19:13:22 2025 begin with 178003229 relations and 155543795 unique ideals Sun Sep 21 19:15:49 2025 reduce to 177810940 relations and 150533061 ideals in 6 passes Sun Sep 21 19:15:50 2025 max relations containing the same ideal: 124 Sun Sep 21 19:17:55 2025 removing 6843772 relations and 4843772 ideals in 2000000 cliques Sun Sep 21 19:17:59 2025 commencing in-memory singleton removal Sun Sep 21 19:18:23 2025 begin with 170967168 relations and 150533061 unique ideals Sun Sep 21 19:20:44 2025 reduce to 170766737 relations and 145486589 ideals in 6 passes Sun Sep 21 19:20:45 2025 max relations containing the same ideal: 121 Sun Sep 21 19:22:45 2025 removing 6871695 relations and 4871695 ideals in 2000000 cliques Sun Sep 21 19:22:48 2025 commencing in-memory singleton removal Sun Sep 21 19:23:12 2025 begin with 163895042 relations and 145486589 unique ideals Sun Sep 21 19:25:26 2025 reduce to 163687625 relations and 140405039 ideals in 6 passes Sun Sep 21 19:25:27 2025 max relations containing the same ideal: 117 Sun Sep 21 19:27:22 2025 removing 6902019 relations and 4902019 ideals in 2000000 cliques Sun Sep 21 19:27:26 2025 commencing in-memory singleton removal Sun Sep 21 19:27:48 2025 begin with 156785606 relations and 140405039 unique ideals Sun Sep 21 19:29:57 2025 reduce to 156568530 relations and 135283181 ideals in 6 passes Sun Sep 21 19:29:57 2025 max relations containing the same ideal: 112 Sun Sep 21 19:31:47 2025 removing 6934783 relations and 4934783 ideals in 2000000 cliques Sun Sep 21 19:31:51 2025 commencing in-memory singleton removal Sun Sep 21 19:32:12 2025 begin with 149633747 relations and 135283181 unique ideals Sun Sep 21 19:34:36 2025 reduce to 149406367 relations and 130118070 ideals in 7 passes Sun Sep 21 19:34:36 2025 max relations containing the same ideal: 110 Sun Sep 21 19:36:22 2025 removing 6973746 relations and 4973746 ideals in 2000000 cliques Sun Sep 21 19:36:25 2025 commencing in-memory singleton removal Sun Sep 21 19:36:45 2025 begin with 142432621 relations and 130118070 unique ideals Sun Sep 21 19:39:02 2025 reduce to 142194074 relations and 124902725 ideals in 7 passes Sun Sep 21 19:39:02 2025 max relations containing the same ideal: 108 Sun Sep 21 19:40:44 2025 removing 7016435 relations and 5016435 ideals in 2000000 cliques Sun Sep 21 19:40:47 2025 commencing in-memory singleton removal Sun Sep 21 19:41:07 2025 begin with 135177639 relations and 124902725 unique ideals Sun Sep 21 19:43:17 2025 reduce to 134928920 relations and 119634184 ideals in 7 passes Sun Sep 21 19:43:17 2025 max relations containing the same ideal: 100 Sun Sep 21 19:44:54 2025 removing 7056572 relations and 5056572 ideals in 2000000 cliques Sun Sep 21 19:44:58 2025 commencing in-memory singleton removal Sun Sep 21 19:45:16 2025 begin with 127872348 relations and 119634184 unique ideals Sun Sep 21 19:47:02 2025 reduce to 127609798 relations and 114311468 ideals in 6 passes Sun Sep 21 19:47:03 2025 max relations containing the same ideal: 97 Sun Sep 21 19:48:35 2025 removing 7105808 relations and 5105808 ideals in 2000000 cliques Sun Sep 21 19:48:39 2025 commencing in-memory singleton removal Sun Sep 21 19:48:56 2025 begin with 120503990 relations and 114311468 unique ideals Sun Sep 21 19:50:35 2025 reduce to 120225132 relations and 108922787 ideals in 6 passes Sun Sep 21 19:50:35 2025 max relations containing the same ideal: 91 Sun Sep 21 19:52:02 2025 removing 7157851 relations and 5157851 ideals in 2000000 cliques Sun Sep 21 19:52:05 2025 commencing in-memory singleton removal Sun Sep 21 19:52:20 2025 begin with 113067281 relations and 108922787 unique ideals Sun Sep 21 19:53:52 2025 reduce to 112767092 relations and 103460372 ideals in 6 passes Sun Sep 21 19:53:52 2025 max relations containing the same ideal: 89 Sun Sep 21 19:55:13 2025 removing 7215980 relations and 5215980 ideals in 2000000 cliques Sun Sep 21 19:55:16 2025 commencing in-memory singleton removal Sun Sep 21 19:55:30 2025 begin with 105551112 relations and 103460372 unique ideals Sun Sep 21 19:57:09 2025 reduce to 105228601 relations and 97916905 ideals in 7 passes Sun Sep 21 19:57:09 2025 max relations containing the same ideal: 88 Sun Sep 21 19:58:24 2025 removing 7278785 relations and 5278785 ideals in 2000000 cliques Sun Sep 21 19:58:27 2025 commencing in-memory singleton removal Sun Sep 21 19:58:40 2025 begin with 97949816 relations and 97916905 unique ideals Sun Sep 21 20:00:12 2025 reduce to 97598145 relations and 92280754 ideals in 7 passes Sun Sep 21 20:00:12 2025 max relations containing the same ideal: 80 Sun Sep 21 20:01:22 2025 removing 7355351 relations and 5355351 ideals in 2000000 cliques Sun Sep 21 20:01:25 2025 commencing in-memory singleton removal Sun Sep 21 20:01:37 2025 begin with 90242794 relations and 92280754 unique ideals Sun Sep 21 20:03:11 2025 reduce to 89855171 relations and 86531120 ideals in 8 passes Sun Sep 21 20:03:11 2025 max relations containing the same ideal: 78 Sun Sep 21 20:04:15 2025 removing 2954586 relations and 2305856 ideals in 648730 cliques Sun Sep 21 20:04:17 2025 commencing in-memory singleton removal Sun Sep 21 20:04:29 2025 begin with 86900585 relations and 86531120 unique ideals Sun Sep 21 20:05:49 2025 reduce to 86837436 relations and 84161740 ideals in 7 passes Sun Sep 21 20:05:50 2025 max relations containing the same ideal: 77 Sun Sep 21 20:07:01 2025 relations with 0 large ideals: 176481 Sun Sep 21 20:07:02 2025 relations with 1 large ideals: 57001 Sun Sep 21 20:07:02 2025 relations with 2 large ideals: 647173 Sun Sep 21 20:07:02 2025 relations with 3 large ideals: 3640701 Sun Sep 21 20:07:02 2025 relations with 4 large ideals: 11025460 Sun Sep 21 20:07:02 2025 relations with 5 large ideals: 19950790 Sun Sep 21 20:07:02 2025 relations with 6 large ideals: 22665519 Sun Sep 21 20:07:02 2025 relations with 7+ large ideals: 28674311 Sun Sep 21 20:07:02 2025 commencing 2-way merge Sun Sep 21 20:08:27 2025 reduce to 56052911 relation sets and 53377215 unique ideals Sun Sep 21 20:08:27 2025 commencing full merge Sun Sep 21 20:41:19 2025 memory use: 7329.9 MB Sun Sep 21 20:41:35 2025 found 25824536 cycles, need 25575415 Sun Sep 21 20:41:37 2025 weight of 25575415 cycles is about 3069780127 (120.03/cycle) Sun Sep 21 20:41:37 2025 distribution of cycle lengths: Sun Sep 21 20:41:37 2025 1 relations: 1282545 Sun Sep 21 20:41:37 2025 2 relations: 1537638 Sun Sep 21 20:41:37 2025 3 relations: 1743403 Sun Sep 21 20:41:37 2025 4 relations: 1800958 Sun Sep 21 20:41:37 2025 5 relations: 1853540 Sun Sep 21 20:41:37 2025 6 relations: 1848437 Sun Sep 21 20:41:37 2025 7 relations: 1829881 Sun Sep 21 20:41:37 2025 8 relations: 1766451 Sun Sep 21 20:41:37 2025 9 relations: 1676280 Sun Sep 21 20:41:37 2025 10+ relations: 10236282 Sun Sep 21 20:41:37 2025 heaviest cycle: 28 relations Sun Sep 21 20:42:58 2025 commencing cycle optimization Sun Sep 21 20:44:00 2025 start with 223417738 relations Sun Sep 21 20:58:10 2025 pruned 9645698 relations Sun Sep 21 20:58:11 2025 memory use: 5898.4 MB Sun Sep 21 20:58:11 2025 distribution of cycle lengths: Sun Sep 21 20:58:11 2025 1 relations: 1282545 Sun Sep 21 20:58:11 2025 2 relations: 1569939 Sun Sep 21 20:58:11 2025 3 relations: 1809458 Sun Sep 21 20:58:11 2025 4 relations: 1870700 Sun Sep 21 20:58:11 2025 5 relations: 1941817 Sun Sep 21 20:58:11 2025 6 relations: 1935768 Sun Sep 21 20:58:11 2025 7 relations: 1925340 Sun Sep 21 20:58:11 2025 8 relations: 1853294 Sun Sep 21 20:58:11 2025 9 relations: 1757510 Sun Sep 21 20:58:11 2025 10+ relations: 9629044 Sun Sep 21 20:58:11 2025 heaviest cycle: 28 relations Sun Sep 21 21:00:04 2025 RelProcTime: 43034 Sun Sep 21 21:00:05 2025 Sun Sep 21 21:00:05 2025 commencing linear algebra Sun Sep 21 21:00:13 2025 read 25575415 cycles Sun Sep 21 21:01:26 2025 cycles contain 85576556 unique relations Sun Sep 21 21:21:10 2025 read 85576556 relations Sun Sep 21 21:24:52 2025 using 20 quadratic characters above 4294917295 Sun Sep 21 21:30:49 2025 building initial matrix Sun Sep 21 21:51:19 2025 memory use: 10884.3 MB Sun Sep 21 21:52:09 2025 read 25575415 cycles Sun Sep 21 21:52:14 2025 matrix is 25575236 x 25575415 (12079.4 MB) with weight 3418399875 (133.66/col) Sun Sep 21 21:52:14 2025 sparse part has weight 2885205687 (112.81/col) Sun Sep 21 22:01:08 2025 filtering completed in 2 passes Sun Sep 21 22:01:14 2025 matrix is 25574451 x 25574630 (12079.3 MB) with weight 3418373133 (133.66/col) Sun Sep 21 22:01:14 2025 sparse part has weight 2885194915 (112.81/col) Sun Sep 21 22:05:31 2025 matrix starts at (0, 0) Sun Sep 21 22:05:36 2025 matrix is 25574451 x 25574630 (12079.3 MB) with weight 3418373133 (133.66/col) Sun Sep 21 22:05:36 2025 sparse part has weight 2885194915 (112.81/col) Sun Sep 21 22:05:36 2025 saving the first 48 matrix rows for later Sun Sep 21 22:05:44 2025 matrix includes 64 packed rows Sun Sep 21 22:05:49 2025 matrix is 25574403 x 25574630 (11595.6 MB) with weight 2962963773 (115.86/col) Sun Sep 21 22:05:49 2025 sparse part has weight 2783977725 (108.86/col) Sun Sep 21 22:05:49 2025 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Sun Sep 21 22:09:02 2025 commencing Lanczos iteration (16 threads) Sun Sep 21 22:09:02 2025 memory use: 10094.5 MB Sun Sep 21 22:10:10 2025 linear algebra at 0.0%, ETA 303h46m Sun Sep 21 22:10:32 2025 checkpointing every 90000 dimensions Mon Sep 29 15:13:49 2025 Mon Sep 29 15:13:49 2025 Mon Sep 29 15:13:49 2025 Msieve v. 1.54 (SVN 1018) Mon Sep 29 15:13:49 2025 random seeds: 4b5bbd80 a7406a82 Mon Sep 29 15:13:49 2025 factoring 227185435051368307314408238834068115691351776338356588674334725386749132064516611247372763675987770879718892231389630968438843676139966674342003542777863874736231448082083195131871698277399495332818105144472468935195416812928346169190507252069841882570157 (255 digits) Mon Sep 29 15:13:50 2025 searching for 15-digit factors Mon Sep 29 15:13:50 2025 commencing number field sieve (255-digit input) Mon Sep 29 15:13:50 2025 R0: 25397652694505813866070015990659936347412758528 Mon Sep 29 15:13:50 2025 R1: -2183814375991796599109312252753832343 Mon Sep 29 15:13:50 2025 A0: 1 Mon Sep 29 15:13:50 2025 A1: 1 Mon Sep 29 15:13:50 2025 A2: 1 Mon Sep 29 15:13:50 2025 A3: 1 Mon Sep 29 15:13:50 2025 A4: 1 Mon Sep 29 15:13:50 2025 A5: 1 Mon Sep 29 15:13:50 2025 A6: 1 Mon Sep 29 15:13:50 2025 skew 1.00, size 1.072e-013, alpha 2.428, combined = 2.110e-014 rroots = 0 Mon Sep 29 15:13:50 2025 Mon Sep 29 15:13:50 2025 commencing linear algebra Mon Sep 29 15:15:49 2025 matrix starts at (0, 0) Mon Sep 29 15:15:54 2025 matrix is 25574451 x 25574630 (12079.3 MB) with weight 3418373133 (133.66/col) Mon Sep 29 15:15:54 2025 sparse part has weight 2885194915 (112.81/col) Mon Sep 29 15:15:54 2025 saving the first 48 matrix rows for later Mon Sep 29 15:16:02 2025 matrix includes 64 packed rows Mon Sep 29 15:16:06 2025 matrix is 25574403 x 25574630 (11595.6 MB) with weight 2962963773 (115.86/col) Mon Sep 29 15:16:06 2025 sparse part has weight 2783977725 (108.86/col) Mon Sep 29 15:16:06 2025 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Mon Sep 29 15:19:14 2025 commencing Lanczos iteration (16 threads) Mon Sep 29 15:19:15 2025 memory use: 10094.5 MB Mon Sep 29 15:19:26 2025 restarting at iteration 209209 (dim = 13230057) Mon Sep 29 15:20:28 2025 linear algebra at 51.7%, ETA 140h13m Mon Sep 29 15:20:46 2025 checkpointing every 90000 dimensions Sun Oct 05 11:35:30 2025 lanczos halted after 404425 iterations (dim = 25574395) Sun Oct 05 11:36:06 2025 recovered 34 nontrivial dependencies Sun Oct 05 11:36:32 2025 BLanczosTime: 505362 Sun Oct 05 11:36:32 2025 Sun Oct 05 11:36:32 2025 commencing square root phase Sun Oct 05 11:36:33 2025 reading relations for dependency 1 Sun Oct 05 11:36:42 2025 read 12788499 cycles Sun Oct 05 11:37:17 2025 cycles contain 42791860 unique relations Sun Oct 05 11:56:45 2025 read 42791860 relations Sun Oct 05 12:00:39 2025 multiplying 42791860 relations Sun Oct 05 12:32:25 2025 multiply complete, coefficients have about 1139.14 million bits Sun Oct 05 12:32:31 2025 initial square root is modulo 128819 Sun Oct 05 13:04:07 2025 found factor: 15945452878769694323571186666094396474154063390071390294921894366571022381329009465001211163821 Sun Oct 05 13:04:08 2025 reading relations for dependency 2 Sun Oct 05 13:04:14 2025 read 12785586 cycles Sun Oct 05 13:04:48 2025 cycles contain 42782292 unique relations Sun Oct 05 13:24:16 2025 read 42782292 relations Sun Oct 05 13:28:11 2025 multiplying 42782292 relations Sun Oct 05 13:59:57 2025 multiply complete, coefficients have about 1138.88 million bits Sun Oct 05 14:00:08 2025 initial square root is modulo 128467 Sun Oct 05 14:31:44 2025 sqrtTime: 10512 Sun Oct 05 14:31:44 2025 p60 factor: 450231016101946887620502958456578510945203433477914522088121 Sun Oct 05 14:31:44 2025 p95 factor: 15945452878769694323571186666094396474154063390071390294921894366571022381329009465001211163821 Sun Oct 05 14:31:44 2025 p101 factor: 31645227100918333706041423896582249039100770436852935577690160758150125003983404597162562545948067977 Sun Oct 05 14:31:44 2025 elapsed time 143:17:55