Sun May 10 11:30:52 2026 Sun May 10 11:30:52 2026 Sun May 10 11:30:52 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun May 10 11:30:52 2026 random seeds: b955e79b 7fd31a41 Sun May 10 11:30:52 2026 MPI process 0 of 1 Sun May 10 11:30:52 2026 Using 46 OpenMP threads Sun May 10 11:30:52 2026 factoring 3714026122224517011031511212068923364650720384419607566258048395620044445886994998551626787792040675202250213696264346557508903855554153340023554247927756175664214996871939281677712022422556903765430715099958836526247115804508072471426859489208770617315489842887 (262 digits) Sun May 10 11:30:53 2026 no P-1/P+1/ECM available, skipping Sun May 10 11:30:53 2026 commencing number field sieve (262-digit input) Sun May 10 11:30:53 2026 R0: -9366947731425726508977331996039353971111632790877 Sun May 10 11:30:53 2026 R1: 5789092068864820527338372482892113982249794889765 Sun May 10 11:30:53 2026 A0: 7 Sun May 10 11:30:53 2026 A1: -24 Sun May 10 11:30:53 2026 A2: 45 Sun May 10 11:30:53 2026 A3: -20 Sun May 10 11:30:53 2026 A4: 30 Sun May 10 11:30:53 2026 A5: 6 Sun May 10 11:30:53 2026 A6: 3 Sun May 10 11:30:53 2026 skew 1.23, size 1.380e-14, alpha 1.267, combined = 4.392e-15 rroots = 0 Sun May 10 11:30:53 2026 Sun May 10 11:30:53 2026 commencing relation filtering Sun May 10 11:30:53 2026 setting target matrix density to 110.0 Sun May 10 11:30:53 2026 estimated available RAM is 385608.3 MB Sun May 10 11:30:53 2026 commencing duplicate removal, pass 1 Sun May 10 11:44:04 2026 skipped 1 relations with composite factors Sun May 10 11:44:04 2026 skipped 1366 malformed relations Sun May 10 11:44:04 2026 found 30786958 hash collisions in 1049505613 relations Sun May 10 11:44:16 2026 added 1218203 free relations Sun May 10 11:44:16 2026 commencing duplicate removal, pass 2 Sun May 10 11:48:01 2026 found 0 duplicates and 1050723816 unique relations Sun May 10 11:48:01 2026 memory use: 3241.5 MB Sun May 10 11:48:01 2026 reading ideals above 720000 Sun May 10 11:48:01 2026 commencing singleton removal, initial pass Sun May 10 12:53:23 2026 memory use: 21024.0 MB Sun May 10 12:53:23 2026 reading all ideals from disk Sun May 10 12:53:57 2026 memory use: 55396.3 MB Sun May 10 12:56:25 2026 keeping 944490852 ideals with weight <= 200, target excess is 5660359 Sun May 10 12:59:01 2026 commencing in-memory singleton removal Sun May 10 12:59:10 2026 begin with 1050723816 relations and 944490852 unique ideals Sun May 10 12:59:56 2026 reduce to 686375646 relations and 544787952 ideals in 14 passes Sun May 10 12:59:56 2026 max relations containing the same ideal: 160 Sun May 10 13:03:23 2026 removing 16097784 relations and 14097784 ideals in 2000000 cliques Sun May 10 13:03:40 2026 commencing in-memory singleton removal Sun May 10 13:03:46 2026 begin with 670277862 relations and 544787952 unique ideals Sun May 10 13:04:07 2026 reduce to 669998996 relations and 530410034 ideals in 8 passes Sun May 10 13:04:07 2026 max relations containing the same ideal: 159 Sun May 10 13:07:22 2026 removing 12167502 relations and 10167502 ideals in 2000000 cliques Sun May 10 13:07:40 2026 commencing in-memory singleton removal Sun May 10 13:07:45 2026 begin with 657831494 relations and 530410034 unique ideals Sun May 10 13:08:06 2026 reduce to 657656421 relations and 520066788 ideals in 7 passes Sun May 10 13:08:06 2026 max relations containing the same ideal: 157 Sun May 10 13:11:09 2026 removing 10889833 relations and 8889833 ideals in 2000000 cliques Sun May 10 13:11:24 2026 commencing in-memory singleton removal Sun May 10 13:11:30 2026 begin with 646766588 relations and 520066788 unique ideals Sun May 10 13:11:48 2026 reduce to 646620795 relations and 511030699 ideals in 7 passes Sun May 10 13:11:48 2026 max relations containing the same ideal: 155 Sun May 10 13:14:55 2026 removing 10148879 relations and 8148879 ideals in 2000000 cliques Sun May 10 13:15:10 2026 commencing in-memory singleton removal Sun May 10 13:15:15 2026 begin with 636471916 relations and 511030699 unique ideals Sun May 10 13:15:33 2026 reduce to 636340911 relations and 502750384 ideals in 7 passes Sun May 10 13:15:33 2026 max relations containing the same ideal: 153 Sun May 10 13:18:39 2026 removing 9636136 relations and 7636136 ideals in 2000000 cliques Sun May 10 13:18:53 2026 commencing in-memory singleton removal Sun May 10 13:18:58 2026 begin with 626704775 relations and 502750384 unique ideals Sun May 10 13:19:15 2026 reduce to 626585199 relations and 494994272 ideals in 7 passes Sun May 10 13:19:15 2026 max relations containing the same ideal: 151 Sun May 10 13:22:25 2026 removing 9251971 relations and 7251971 ideals in 2000000 cliques Sun May 10 13:22:39 2026 commencing in-memory singleton removal Sun May 10 13:22:44 2026 begin with 617333228 relations and 494994272 unique ideals Sun May 10 13:23:00 2026 reduce to 617219129 relations and 487627839 ideals in 6 passes Sun May 10 13:23:00 2026 max relations containing the same ideal: 150 Sun May 10 13:25:57 2026 removing 8946310 relations and 6946310 ideals in 2000000 cliques Sun May 10 13:26:10 2026 commencing in-memory singleton removal Sun May 10 13:26:16 2026 begin with 608272819 relations and 487627839 unique ideals Sun May 10 13:26:32 2026 reduce to 608163880 relations and 480572248 ideals in 7 passes Sun May 10 13:26:32 2026 max relations containing the same ideal: 150 Sun May 10 13:29:29 2026 removing 8702908 relations and 6702908 ideals in 2000000 cliques Sun May 10 13:29:42 2026 commencing in-memory singleton removal Sun May 10 13:29:47 2026 begin with 599460972 relations and 480572248 unique ideals Sun May 10 13:30:01 2026 reduce to 599355324 relations and 473763360 ideals in 6 passes Sun May 10 13:30:01 2026 max relations containing the same ideal: 149 Sun May 10 13:32:50 2026 removing 8501026 relations and 6501026 ideals in 2000000 cliques Sun May 10 13:33:04 2026 commencing in-memory singleton removal Sun May 10 13:33:09 2026 begin with 590854298 relations and 473763360 unique ideals Sun May 10 13:33:23 2026 reduce to 590752160 relations and 467159828 ideals in 6 passes Sun May 10 13:33:23 2026 max relations containing the same ideal: 148 Sun May 10 13:36:10 2026 removing 8329602 relations and 6329602 ideals in 2000000 cliques Sun May 10 13:36:22 2026 commencing in-memory singleton removal Sun May 10 13:36:28 2026 begin with 582422558 relations and 467159828 unique ideals Sun May 10 13:36:43 2026 reduce to 582322139 relations and 460729434 ideals in 7 passes Sun May 10 13:36:43 2026 max relations containing the same ideal: 145 Sun May 10 13:39:29 2026 removing 8178002 relations and 6178002 ideals in 2000000 cliques Sun May 10 13:39:41 2026 commencing in-memory singleton removal Sun May 10 13:39:46 2026 begin with 574144137 relations and 460729434 unique ideals Sun May 10 13:40:00 2026 reduce to 574045549 relations and 454452500 ideals in 6 passes Sun May 10 13:40:00 2026 max relations containing the same ideal: 144 Sun May 10 13:42:44 2026 removing 8055905 relations and 6055905 ideals in 2000000 cliques Sun May 10 13:42:56 2026 commencing in-memory singleton removal Sun May 10 13:43:01 2026 begin with 565989644 relations and 454452500 unique ideals Sun May 10 13:43:15 2026 reduce to 565892210 relations and 448298830 ideals in 6 passes Sun May 10 13:43:15 2026 max relations containing the same ideal: 143 Sun May 10 13:45:55 2026 removing 7943261 relations and 5943261 ideals in 2000000 cliques Sun May 10 13:46:08 2026 commencing in-memory singleton removal Sun May 10 13:46:13 2026 begin with 557948949 relations and 448298830 unique ideals Sun May 10 13:46:26 2026 reduce to 557853626 relations and 442259838 ideals in 6 passes Sun May 10 13:46:26 2026 max relations containing the same ideal: 142 Sun May 10 13:49:05 2026 removing 7842509 relations and 5842509 ideals in 2000000 cliques Sun May 10 13:49:17 2026 commencing in-memory singleton removal Sun May 10 13:49:22 2026 begin with 550011117 relations and 442259838 unique ideals Sun May 10 13:49:35 2026 reduce to 549915537 relations and 436321390 ideals in 6 passes Sun May 10 13:49:35 2026 max relations containing the same ideal: 142 Sun May 10 13:52:11 2026 removing 7757250 relations and 5757250 ideals in 2000000 cliques Sun May 10 13:52:22 2026 commencing in-memory singleton removal Sun May 10 13:52:27 2026 begin with 542158287 relations and 436321390 unique ideals Sun May 10 13:52:40 2026 reduce to 542063858 relations and 430469307 ideals in 6 passes Sun May 10 13:52:40 2026 max relations containing the same ideal: 142 Sun May 10 13:55:14 2026 removing 7681325 relations and 5681325 ideals in 2000000 cliques Sun May 10 13:55:25 2026 commencing in-memory singleton removal Sun May 10 13:55:30 2026 begin with 534382533 relations and 430469307 unique ideals Sun May 10 13:55:43 2026 reduce to 534287874 relations and 424692933 ideals in 6 passes Sun May 10 13:55:43 2026 max relations containing the same ideal: 139 Sun May 10 13:58:15 2026 removing 7610522 relations and 5610522 ideals in 2000000 cliques Sun May 10 13:58:26 2026 commencing in-memory singleton removal Sun May 10 13:58:31 2026 begin with 526677352 relations and 424692933 unique ideals Sun May 10 13:58:44 2026 reduce to 526582929 relations and 418987599 ideals in 6 passes Sun May 10 13:58:44 2026 max relations containing the same ideal: 138 Sun May 10 14:01:14 2026 removing 7548684 relations and 5548684 ideals in 2000000 cliques Sun May 10 14:01:25 2026 commencing in-memory singleton removal Sun May 10 14:01:30 2026 begin with 519034245 relations and 418987599 unique ideals Sun May 10 14:01:42 2026 reduce to 518939945 relations and 413344239 ideals in 6 passes Sun May 10 14:01:42 2026 max relations containing the same ideal: 136 Sun May 10 14:04:10 2026 removing 7492312 relations and 5492312 ideals in 2000000 cliques Sun May 10 14:04:21 2026 commencing in-memory singleton removal Sun May 10 14:04:25 2026 begin with 511447633 relations and 413344239 unique ideals Sun May 10 14:04:38 2026 reduce to 511353500 relations and 407757375 ideals in 6 passes Sun May 10 14:04:38 2026 max relations containing the same ideal: 133 Sun May 10 14:07:04 2026 removing 7442539 relations and 5442539 ideals in 2000000 cliques Sun May 10 14:07:15 2026 commencing in-memory singleton removal Sun May 10 14:07:19 2026 begin with 503910961 relations and 407757375 unique ideals Sun May 10 14:07:31 2026 reduce to 503815392 relations and 402218849 ideals in 6 passes Sun May 10 14:07:31 2026 max relations containing the same ideal: 131 Sun May 10 14:09:55 2026 removing 7397331 relations and 5397331 ideals in 2000000 cliques Sun May 10 14:10:06 2026 commencing in-memory singleton removal Sun May 10 14:10:11 2026 begin with 496418061 relations and 402218849 unique ideals Sun May 10 14:10:22 2026 reduce to 496322389 relations and 396725428 ideals in 6 passes Sun May 10 14:10:22 2026 max relations containing the same ideal: 131 Sun May 10 14:12:44 2026 removing 7355356 relations and 5355356 ideals in 2000000 cliques Sun May 10 14:12:55 2026 commencing in-memory singleton removal Sun May 10 14:12:59 2026 begin with 488967033 relations and 396725428 unique ideals Sun May 10 14:13:09 2026 reduce to 488872154 relations and 391274767 ideals in 5 passes Sun May 10 14:13:09 2026 max relations containing the same ideal: 129 Sun May 10 14:15:29 2026 removing 7319774 relations and 5319774 ideals in 2000000 cliques Sun May 10 14:15:39 2026 commencing in-memory singleton removal Sun May 10 14:15:44 2026 begin with 481552380 relations and 391274767 unique ideals Sun May 10 14:15:55 2026 reduce to 481456828 relations and 385858961 ideals in 6 passes Sun May 10 14:15:55 2026 max relations containing the same ideal: 127 Sun May 10 14:18:13 2026 removing 7286721 relations and 5286721 ideals in 2000000 cliques Sun May 10 14:18:23 2026 commencing in-memory singleton removal Sun May 10 14:18:27 2026 begin with 474170107 relations and 385858961 unique ideals Sun May 10 14:18:39 2026 reduce to 474073336 relations and 380474990 ideals in 6 passes Sun May 10 14:18:39 2026 max relations containing the same ideal: 126 Sun May 10 14:20:54 2026 removing 7253612 relations and 5253612 ideals in 2000000 cliques Sun May 10 14:21:04 2026 commencing in-memory singleton removal Sun May 10 14:21:08 2026 begin with 466819724 relations and 380474990 unique ideals Sun May 10 14:21:19 2026 reduce to 466722495 relations and 375123662 ideals in 6 passes Sun May 10 14:21:19 2026 max relations containing the same ideal: 125 Sun May 10 14:23:34 2026 removing 7227022 relations and 5227022 ideals in 2000000 cliques Sun May 10 14:23:44 2026 commencing in-memory singleton removal Sun May 10 14:23:48 2026 begin with 459495473 relations and 375123662 unique ideals Sun May 10 14:23:59 2026 reduce to 459397680 relations and 369798310 ideals in 6 passes Sun May 10 14:23:59 2026 max relations containing the same ideal: 124 Sun May 10 14:26:10 2026 removing 7206903 relations and 5206903 ideals in 2000000 cliques Sun May 10 14:26:19 2026 commencing in-memory singleton removal Sun May 10 14:26:23 2026 begin with 452190777 relations and 369798310 unique ideals Sun May 10 14:26:34 2026 reduce to 452091947 relations and 364492028 ideals in 6 passes Sun May 10 14:26:34 2026 max relations containing the same ideal: 122 Sun May 10 14:28:42 2026 removing 7183745 relations and 5183745 ideals in 2000000 cliques Sun May 10 14:28:52 2026 commencing in-memory singleton removal Sun May 10 14:28:56 2026 begin with 444908202 relations and 364492028 unique ideals Sun May 10 14:29:07 2026 reduce to 444807843 relations and 359207404 ideals in 6 passes Sun May 10 14:29:07 2026 max relations containing the same ideal: 121 Sun May 10 14:31:13 2026 removing 7167467 relations and 5167467 ideals in 2000000 cliques Sun May 10 14:31:23 2026 commencing in-memory singleton removal Sun May 10 14:31:27 2026 begin with 437640376 relations and 359207404 unique ideals Sun May 10 14:31:37 2026 reduce to 437539251 relations and 353938268 ideals in 6 passes Sun May 10 14:31:37 2026 max relations containing the same ideal: 121 Sun May 10 14:33:41 2026 removing 7145456 relations and 5145456 ideals in 2000000 cliques Sun May 10 14:33:51 2026 commencing in-memory singleton removal Sun May 10 14:33:54 2026 begin with 430393795 relations and 353938268 unique ideals Sun May 10 14:34:05 2026 reduce to 430291114 relations and 348689517 ideals in 6 passes Sun May 10 14:34:05 2026 max relations containing the same ideal: 120 Sun May 10 14:36:07 2026 removing 7135133 relations and 5135133 ideals in 2000000 cliques Sun May 10 14:36:16 2026 commencing in-memory singleton removal Sun May 10 14:36:20 2026 begin with 423155981 relations and 348689517 unique ideals Sun May 10 14:36:31 2026 reduce to 423052378 relations and 343450151 ideals in 7 passes Sun May 10 14:36:31 2026 max relations containing the same ideal: 119 Sun May 10 14:38:31 2026 removing 7120831 relations and 5120831 ideals in 2000000 cliques Sun May 10 14:38:40 2026 commencing in-memory singleton removal Sun May 10 14:38:44 2026 begin with 415931547 relations and 343450151 unique ideals Sun May 10 14:38:55 2026 reduce to 415826341 relations and 338223506 ideals in 7 passes Sun May 10 14:38:55 2026 max relations containing the same ideal: 118 Sun May 10 14:40:54 2026 removing 7109623 relations and 5109623 ideals in 2000000 cliques Sun May 10 14:41:02 2026 commencing in-memory singleton removal Sun May 10 14:41:06 2026 begin with 408716718 relations and 338223506 unique ideals Sun May 10 14:41:16 2026 reduce to 408610078 relations and 333006602 ideals in 6 passes Sun May 10 14:41:16 2026 max relations containing the same ideal: 116 Sun May 10 14:43:13 2026 removing 7102170 relations and 5102170 ideals in 2000000 cliques Sun May 10 14:43:21 2026 commencing in-memory singleton removal Sun May 10 14:43:25 2026 begin with 401507908 relations and 333006602 unique ideals Sun May 10 14:43:34 2026 reduce to 401399667 relations and 327795498 ideals in 6 passes Sun May 10 14:43:34 2026 max relations containing the same ideal: 115 Sun May 10 14:45:29 2026 removing 7094154 relations and 5094154 ideals in 2000000 cliques Sun May 10 14:45:37 2026 commencing in-memory singleton removal Sun May 10 14:45:41 2026 begin with 394305513 relations and 327795498 unique ideals Sun May 10 14:45:51 2026 reduce to 394195827 relations and 322590962 ideals in 7 passes Sun May 10 14:45:51 2026 max relations containing the same ideal: 114 Sun May 10 14:47:43 2026 removing 7092388 relations and 5092388 ideals in 2000000 cliques Sun May 10 14:47:51 2026 commencing in-memory singleton removal Sun May 10 14:47:54 2026 begin with 387103439 relations and 322590962 unique ideals Sun May 10 14:48:03 2026 reduce to 386992146 relations and 317386574 ideals in 6 passes Sun May 10 14:48:03 2026 max relations containing the same ideal: 111 Sun May 10 14:49:53 2026 removing 7088489 relations and 5088489 ideals in 2000000 cliques Sun May 10 14:50:01 2026 commencing in-memory singleton removal Sun May 10 14:50:05 2026 begin with 379903657 relations and 317386574 unique ideals Sun May 10 14:50:13 2026 reduce to 379789558 relations and 312183246 ideals in 6 passes Sun May 10 14:50:13 2026 max relations containing the same ideal: 109 Sun May 10 14:52:00 2026 removing 7088420 relations and 5088420 ideals in 2000000 cliques Sun May 10 14:52:08 2026 commencing in-memory singleton removal Sun May 10 14:52:11 2026 begin with 372701138 relations and 312183246 unique ideals Sun May 10 14:52:20 2026 reduce to 372584820 relations and 306977686 ideals in 6 passes Sun May 10 14:52:20 2026 max relations containing the same ideal: 108 Sun May 10 14:54:05 2026 removing 7090030 relations and 5090030 ideals in 2000000 cliques Sun May 10 14:54:13 2026 commencing in-memory singleton removal Sun May 10 14:54:16 2026 begin with 365494790 relations and 306977686 unique ideals Sun May 10 14:54:26 2026 reduce to 365377405 relations and 301769475 ideals in 7 passes Sun May 10 14:54:26 2026 max relations containing the same ideal: 106 Sun May 10 14:56:08 2026 removing 7093071 relations and 5093071 ideals in 2000000 cliques Sun May 10 14:56:16 2026 commencing in-memory singleton removal Sun May 10 14:56:19 2026 begin with 358284334 relations and 301769475 unique ideals Sun May 10 14:56:28 2026 reduce to 358164255 relations and 296555506 ideals in 7 passes Sun May 10 14:56:28 2026 max relations containing the same ideal: 104 Sun May 10 14:58:08 2026 removing 7096808 relations and 5096808 ideals in 2000000 cliques Sun May 10 14:58:16 2026 commencing in-memory singleton removal Sun May 10 14:58:19 2026 begin with 351067447 relations and 296555506 unique ideals Sun May 10 14:58:28 2026 reduce to 350945230 relations and 291335623 ideals in 7 passes Sun May 10 14:58:28 2026 max relations containing the same ideal: 102 Sun May 10 15:00:06 2026 removing 7101389 relations and 5101389 ideals in 2000000 cliques Sun May 10 15:00:13 2026 commencing in-memory singleton removal Sun May 10 15:00:16 2026 begin with 343843841 relations and 291335623 unique ideals Sun May 10 15:00:26 2026 reduce to 343720022 relations and 286109512 ideals in 7 passes Sun May 10 15:00:26 2026 max relations containing the same ideal: 101 Sun May 10 15:02:02 2026 removing 7110971 relations and 5110971 ideals in 2000000 cliques Sun May 10 15:02:10 2026 commencing in-memory singleton removal Sun May 10 15:02:12 2026 begin with 336609051 relations and 286109512 unique ideals Sun May 10 15:02:21 2026 reduce to 336481691 relations and 280870258 ideals in 7 passes Sun May 10 15:02:21 2026 max relations containing the same ideal: 100 Sun May 10 15:03:55 2026 removing 7118754 relations and 5118754 ideals in 2000000 cliques Sun May 10 15:04:03 2026 commencing in-memory singleton removal Sun May 10 15:04:05 2026 begin with 329362937 relations and 280870258 unique ideals Sun May 10 15:04:13 2026 reduce to 329232997 relations and 275620615 ideals in 6 passes Sun May 10 15:04:13 2026 max relations containing the same ideal: 98 Sun May 10 15:05:45 2026 removing 7129648 relations and 5129648 ideals in 2000000 cliques Sun May 10 15:05:52 2026 commencing in-memory singleton removal Sun May 10 15:05:55 2026 begin with 322103349 relations and 275620615 unique ideals Sun May 10 15:06:03 2026 reduce to 321971338 relations and 270357950 ideals in 6 passes Sun May 10 15:06:03 2026 max relations containing the same ideal: 97 Sun May 10 15:07:32 2026 removing 7145767 relations and 5145767 ideals in 2000000 cliques Sun May 10 15:07:39 2026 commencing in-memory singleton removal Sun May 10 15:07:42 2026 begin with 314825571 relations and 270357950 unique ideals Sun May 10 15:07:49 2026 reduce to 314689209 relations and 265074754 ideals in 6 passes Sun May 10 15:07:49 2026 max relations containing the same ideal: 95 Sun May 10 15:09:18 2026 removing 7162264 relations and 5162264 ideals in 2000000 cliques Sun May 10 15:09:24 2026 commencing in-memory singleton removal Sun May 10 15:09:27 2026 begin with 307526945 relations and 265074754 unique ideals Sun May 10 15:09:34 2026 reduce to 307388415 relations and 259772831 ideals in 6 passes Sun May 10 15:09:34 2026 max relations containing the same ideal: 95 Sun May 10 15:11:00 2026 removing 7179275 relations and 5179275 ideals in 2000000 cliques Sun May 10 15:11:07 2026 commencing in-memory singleton removal Sun May 10 15:11:10 2026 begin with 300209140 relations and 259772831 unique ideals Sun May 10 15:11:17 2026 reduce to 300066371 relations and 254449593 ideals in 6 passes Sun May 10 15:11:17 2026 max relations containing the same ideal: 92 Sun May 10 15:12:41 2026 removing 7201837 relations and 5201837 ideals in 2000000 cliques Sun May 10 15:12:48 2026 commencing in-memory singleton removal Sun May 10 15:12:50 2026 begin with 292864534 relations and 254449593 unique ideals Sun May 10 15:12:57 2026 reduce to 292717192 relations and 249099201 ideals in 6 passes Sun May 10 15:12:57 2026 max relations containing the same ideal: 91 Sun May 10 15:14:19 2026 removing 7220627 relations and 5220627 ideals in 2000000 cliques Sun May 10 15:14:25 2026 commencing in-memory singleton removal Sun May 10 15:14:28 2026 begin with 285496565 relations and 249099201 unique ideals Sun May 10 15:14:35 2026 reduce to 285345570 relations and 243726314 ideals in 7 passes Sun May 10 15:14:35 2026 max relations containing the same ideal: 89 Sun May 10 15:15:55 2026 removing 7244577 relations and 5244577 ideals in 2000000 cliques Sun May 10 15:16:02 2026 commencing in-memory singleton removal Sun May 10 15:16:04 2026 begin with 278100993 relations and 243726314 unique ideals Sun May 10 15:16:10 2026 reduce to 277946184 relations and 238325639 ideals in 6 passes Sun May 10 15:16:10 2026 max relations containing the same ideal: 88 Sun May 10 15:17:29 2026 removing 7272467 relations and 5272467 ideals in 2000000 cliques Sun May 10 15:17:35 2026 commencing in-memory singleton removal Sun May 10 15:17:37 2026 begin with 270673717 relations and 238325639 unique ideals Sun May 10 15:17:43 2026 reduce to 270514609 relations and 232892744 ideals in 6 passes Sun May 10 15:17:43 2026 max relations containing the same ideal: 87 Sun May 10 15:19:00 2026 removing 7300487 relations and 5300487 ideals in 2000000 cliques Sun May 10 15:19:06 2026 commencing in-memory singleton removal Sun May 10 15:19:08 2026 begin with 263214122 relations and 232892744 unique ideals Sun May 10 15:19:15 2026 reduce to 263050173 relations and 227426972 ideals in 7 passes Sun May 10 15:19:15 2026 max relations containing the same ideal: 86 Sun May 10 15:20:29 2026 removing 7332688 relations and 5332688 ideals in 2000000 cliques Sun May 10 15:20:35 2026 commencing in-memory singleton removal Sun May 10 15:20:37 2026 begin with 255717485 relations and 227426972 unique ideals Sun May 10 15:20:43 2026 reduce to 255548254 relations and 221923548 ideals in 6 passes Sun May 10 15:20:43 2026 max relations containing the same ideal: 85 Sun May 10 15:21:55 2026 removing 7366566 relations and 5366566 ideals in 2000000 cliques Sun May 10 15:22:01 2026 commencing in-memory singleton removal Sun May 10 15:22:03 2026 begin with 248181688 relations and 221923548 unique ideals Sun May 10 15:22:09 2026 reduce to 248006556 relations and 216380352 ideals in 6 passes Sun May 10 15:22:09 2026 max relations containing the same ideal: 84 Sun May 10 15:23:20 2026 removing 7402187 relations and 5402187 ideals in 2000000 cliques Sun May 10 15:23:25 2026 commencing in-memory singleton removal Sun May 10 15:23:27 2026 begin with 240604369 relations and 216380352 unique ideals Sun May 10 15:23:33 2026 reduce to 240422937 relations and 210795095 ideals in 6 passes Sun May 10 15:23:33 2026 max relations containing the same ideal: 80 Sun May 10 15:24:39 2026 removing 7448345 relations and 5448345 ideals in 2000000 cliques Sun May 10 15:24:44 2026 commencing in-memory singleton removal Sun May 10 15:24:46 2026 begin with 232974592 relations and 210795095 unique ideals Sun May 10 15:24:52 2026 reduce to 232786779 relations and 205157254 ideals in 6 passes Sun May 10 15:24:52 2026 max relations containing the same ideal: 79 Sun May 10 15:25:56 2026 removing 7494314 relations and 5494314 ideals in 2000000 cliques Sun May 10 15:26:01 2026 commencing in-memory singleton removal Sun May 10 15:26:03 2026 begin with 225292465 relations and 205157254 unique ideals Sun May 10 15:26:09 2026 reduce to 225096522 relations and 199465152 ideals in 7 passes Sun May 10 15:26:09 2026 max relations containing the same ideal: 77 Sun May 10 15:27:11 2026 removing 7542770 relations and 5542770 ideals in 2000000 cliques Sun May 10 15:27:16 2026 commencing in-memory singleton removal Sun May 10 15:27:18 2026 begin with 217553752 relations and 199465152 unique ideals Sun May 10 15:27:23 2026 reduce to 217350628 relations and 193717389 ideals in 7 passes Sun May 10 15:27:23 2026 max relations containing the same ideal: 76 Sun May 10 15:28:24 2026 removing 7594326 relations and 5594326 ideals in 2000000 cliques Sun May 10 15:28:29 2026 commencing in-memory singleton removal Sun May 10 15:28:30 2026 begin with 209756302 relations and 193717389 unique ideals Sun May 10 15:28:36 2026 reduce to 209543616 relations and 187908377 ideals in 7 passes Sun May 10 15:28:36 2026 max relations containing the same ideal: 74 Sun May 10 15:29:34 2026 removing 7654067 relations and 5654067 ideals in 2000000 cliques Sun May 10 15:29:39 2026 commencing in-memory singleton removal Sun May 10 15:29:41 2026 begin with 201889549 relations and 187908377 unique ideals Sun May 10 15:29:46 2026 reduce to 201666519 relations and 182029108 ideals in 7 passes Sun May 10 15:29:46 2026 max relations containing the same ideal: 72 Sun May 10 15:30:42 2026 removing 7717285 relations and 5717285 ideals in 2000000 cliques Sun May 10 15:30:47 2026 commencing in-memory singleton removal Sun May 10 15:30:48 2026 begin with 193949234 relations and 182029108 unique ideals Sun May 10 15:30:53 2026 reduce to 193714390 relations and 176074713 ideals in 6 passes Sun May 10 15:30:53 2026 max relations containing the same ideal: 70 Sun May 10 15:31:47 2026 removing 7781520 relations and 5781520 ideals in 2000000 cliques Sun May 10 15:31:52 2026 commencing in-memory singleton removal Sun May 10 15:31:53 2026 begin with 185932870 relations and 176074713 unique ideals Sun May 10 15:31:58 2026 reduce to 185686645 relations and 170044562 ideals in 7 passes Sun May 10 15:31:58 2026 max relations containing the same ideal: 68 Sun May 10 15:32:50 2026 removing 7852201 relations and 5852201 ideals in 2000000 cliques Sun May 10 15:32:55 2026 commencing in-memory singleton removal Sun May 10 15:32:56 2026 begin with 177834444 relations and 170044562 unique ideals Sun May 10 15:33:01 2026 reduce to 177574816 relations and 163930203 ideals in 6 passes Sun May 10 15:33:01 2026 max relations containing the same ideal: 67 Sun May 10 15:33:51 2026 removing 7937868 relations and 5937868 ideals in 2000000 cliques Sun May 10 15:33:55 2026 commencing in-memory singleton removal Sun May 10 15:33:57 2026 begin with 169636948 relations and 163930203 unique ideals Sun May 10 15:34:01 2026 reduce to 169360287 relations and 157712950 ideals in 7 passes Sun May 10 15:34:01 2026 max relations containing the same ideal: 65 Sun May 10 15:34:49 2026 removing 8023423 relations and 6023423 ideals in 2000000 cliques Sun May 10 15:34:54 2026 commencing in-memory singleton removal Sun May 10 15:34:55 2026 begin with 161336864 relations and 157712950 unique ideals Sun May 10 15:34:59 2026 reduce to 161041001 relations and 151390505 ideals in 7 passes Sun May 10 15:34:59 2026 max relations containing the same ideal: 63 Sun May 10 15:35:46 2026 removing 8127370 relations and 6127370 ideals in 2000000 cliques Sun May 10 15:35:50 2026 commencing in-memory singleton removal Sun May 10 15:35:51 2026 begin with 152913631 relations and 151390505 unique ideals Sun May 10 15:35:55 2026 reduce to 152594689 relations and 144940728 ideals in 7 passes Sun May 10 15:35:55 2026 max relations containing the same ideal: 63 Sun May 10 15:36:40 2026 removing 5006850 relations and 3918906 ideals in 1087944 cliques Sun May 10 15:36:43 2026 commencing in-memory singleton removal Sun May 10 15:36:45 2026 begin with 147587839 relations and 144940728 unique ideals Sun May 10 15:36:48 2026 reduce to 147471083 relations and 140904379 ideals in 7 passes Sun May 10 15:36:48 2026 max relations containing the same ideal: 61 Sun May 10 15:37:45 2026 relations with 0 large ideals: 196416 Sun May 10 15:37:45 2026 relations with 1 large ideals: 182685 Sun May 10 15:37:45 2026 relations with 2 large ideals: 2114287 Sun May 10 15:37:45 2026 relations with 3 large ideals: 10263044 Sun May 10 15:37:45 2026 relations with 4 large ideals: 26508098 Sun May 10 15:37:45 2026 relations with 5 large ideals: 40068767 Sun May 10 15:37:45 2026 relations with 6 large ideals: 36905445 Sun May 10 15:37:45 2026 relations with 7+ large ideals: 31232341 Sun May 10 15:37:45 2026 commencing 2-way merge Sun May 10 15:38:52 2026 reduce to 92459528 relation sets and 85892824 unique ideals Sun May 10 15:38:52 2026 commencing full merge Sun May 10 15:59:04 2026 memory use: 10624.9 MB Sun May 10 15:59:12 2026 found 43708478 cycles, need 42857024 Sun May 10 15:59:24 2026 weight of 42857024 cycles is about 4714814803 (110.01/cycle) Sun May 10 15:59:25 2026 distribution of cycle lengths: Sun May 10 15:59:25 2026 1 relations: 2996325 Sun May 10 15:59:25 2026 2 relations: 3240552 Sun May 10 15:59:25 2026 3 relations: 3461026 Sun May 10 15:59:25 2026 4 relations: 3432597 Sun May 10 15:59:25 2026 5 relations: 3445967 Sun May 10 15:59:25 2026 6 relations: 3379507 Sun May 10 15:59:25 2026 7 relations: 3273247 Sun May 10 15:59:25 2026 8 relations: 3107018 Sun May 10 15:59:25 2026 9 relations: 2874967 Sun May 10 15:59:25 2026 10+ relations: 13645818 Sun May 10 15:59:25 2026 heaviest cycle: 25 relations Sun May 10 15:59:39 2026 commencing cycle optimization Sun May 10 16:00:52 2026 start with 323315760 relations Sun May 10 16:08:23 2026 pruned 11526119 relations Sun May 10 16:08:23 2026 memory use: 9350.4 MB Sun May 10 16:08:23 2026 distribution of cycle lengths: Sun May 10 16:08:23 2026 1 relations: 2996325 Sun May 10 16:08:23 2026 2 relations: 3316130 Sun May 10 16:08:23 2026 3 relations: 3597353 Sun May 10 16:08:23 2026 4 relations: 3558440 Sun May 10 16:08:23 2026 5 relations: 3593887 Sun May 10 16:08:23 2026 6 relations: 3514302 Sun May 10 16:08:23 2026 7 relations: 3411070 Sun May 10 16:08:23 2026 8 relations: 3219003 Sun May 10 16:08:23 2026 9 relations: 2968124 Sun May 10 16:08:23 2026 10+ relations: 12682390 Sun May 10 16:08:23 2026 heaviest cycle: 24 relations Sun May 10 16:09:44 2026 RelProcTime: 16731 Sun May 10 16:09:44 2026 elapsed time 04:38:52 Sun May 10 16:09:45 2026 Sun May 10 16:09:45 2026 Sun May 10 16:09:45 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun May 10 16:09:45 2026 random seeds: fda5953e 64d4ecdb Sun May 10 16:09:45 2026 MPI process 0 of 1 Sun May 10 16:09:45 2026 Using 46 OpenMP threads Sun May 10 16:09:45 2026 factoring 3714026122224517011031511212068923364650720384419607566258048395620044445886994998551626787792040675202250213696264346557508903855554153340023554247927756175664214996871939281677712022422556903765430715099958836526247115804508072471426859489208770617315489842887 (262 digits) Sun May 10 16:09:46 2026 no P-1/P+1/ECM available, skipping Sun May 10 16:09:46 2026 commencing number field sieve (262-digit input) Sun May 10 16:09:46 2026 R0: -9366947731425726508977331996039353971111632790877 Sun May 10 16:09:46 2026 R1: 5789092068864820527338372482892113982249794889765 Sun May 10 16:09:46 2026 A0: 7 Sun May 10 16:09:46 2026 A1: -24 Sun May 10 16:09:46 2026 A2: 45 Sun May 10 16:09:46 2026 A3: -20 Sun May 10 16:09:46 2026 A4: 30 Sun May 10 16:09:46 2026 A5: 6 Sun May 10 16:09:46 2026 A6: 3 Sun May 10 16:09:46 2026 skew 1.23, size 1.380e-14, alpha 1.267, combined = 4.392e-15 rroots = 0 Sun May 10 16:09:46 2026 Sun May 10 16:09:46 2026 commencing linear algebra Sun May 10 16:09:46 2026 using VBITS=256 Sun May 10 16:09:46 2026 stopping after matrix build Sun May 10 16:09:46 2026 initialized process (0,0) of 1 x 1 grid Sun May 10 16:09:50 2026 read 42857024 cycles Sun May 10 16:11:14 2026 cycles contain 144126975 unique relations Sun May 10 16:12:46 2026 read 144126975 relations Sun May 10 16:12:58 2026 using 20 quadratic characters above 4294917295 Sun May 10 16:13:16 2026 building initial matrix Sun May 10 16:39:52 2026 memory use: 19581.7 MB Sun May 10 16:40:27 2026 read 42857024 cycles Sun May 10 16:40:32 2026 matrix is 42856842 x 42857024 (18837.6 MB) with weight 5413083124 (126.31/col) Sun May 10 16:40:32 2026 sparse part has weight 4466727975 (104.22/col) Sun May 10 16:48:02 2026 filtering completed in 2 passes Sun May 10 16:48:08 2026 matrix is 42849923 x 42850100 (18836.9 MB) with weight 5412842059 (126.32/col) Sun May 10 16:48:08 2026 sparse part has weight 4466634383 (104.24/col) Sun May 10 16:49:48 2026 BLanczosTime: 2402 Sun May 10 16:49:48 2026 elapsed time 00:40:03 Sun May 10 20:29:04 2026 Sun May 10 20:29:04 2026 Sun May 10 20:29:04 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun May 10 20:29:04 2026 random seeds: 4f65d03d c4e72a9b Sun May 10 20:29:05 2026 MPI process 0 of 4 Sun May 10 20:29:05 2026 Using 15 OpenMP threads Sun May 10 20:29:05 2026 factoring 3714026122224517011031511212068923364650720384419607566258048395620044445886994998551626787792040675202250213696264346557508903855554153340023554247927756175664214996871939281677712022422556903765430715099958836526247115804508072471426859489208770617315489842887 (262 digits) Sun May 10 20:29:05 2026 no P-1/P+1/ECM available, skipping Sun May 10 20:29:05 2026 commencing number field sieve (262-digit input) Sun May 10 20:29:05 2026 R0: -9366947731425726508977331996039353971111632790877 Sun May 10 20:29:05 2026 R1: 5789092068864820527338372482892113982249794889765 Sun May 10 20:29:05 2026 A0: 7 Sun May 10 20:29:05 2026 A1: -24 Sun May 10 20:29:05 2026 A2: 45 Sun May 10 20:29:05 2026 A3: -20 Sun May 10 20:29:05 2026 A4: 30 Sun May 10 20:29:05 2026 A5: 6 Sun May 10 20:29:05 2026 A6: 3 Sun May 10 20:29:05 2026 skew 1.23, size 1.380e-14, alpha 1.267, combined = 4.392e-15 rroots = 0 Sun May 10 20:29:05 2026 Sun May 10 20:29:05 2026 commencing linear algebra Sun May 10 20:29:05 2026 using VBITS=256 Sun May 10 20:29:05 2026 skipping matrix build Sun May 10 20:29:05 2026 initialized process (0,0) of 2 x 2 grid Sun May 10 20:29:25 2026 matrix starts at (0, 0) Sun May 10 20:29:26 2026 matrix is 21425082 x 21425193 (5496.1 MB) with weight 1678209666 (78.33/col) Sun May 10 20:29:26 2026 sparse part has weight 1205082736 (56.25/col) Sun May 10 20:29:26 2026 saving the first 240 matrix rows for later Sun May 10 20:29:30 2026 matrix includes 256 packed rows Sun May 10 20:29:33 2026 matrix is 21424842 x 21425193 (4962.9 MB) with weight 1029002382 (48.03/col) Sun May 10 20:29:33 2026 sparse part has weight 958180941 (44.72/col) Sun May 10 20:29:33 2026 using GPU 0 (NVIDIA H200) Sun May 10 20:29:33 2026 selected card has CUDA arch 9.0 Sun May 10 20:30:41 2026 commencing Lanczos iteration Sun May 10 20:30:41 2026 memory use: 11396.9 MB Sun May 10 20:30:52 2026 linear algebra at 0.1%, ETA 3h53m Sun May 10 20:31:07 2026 checking every 180000 dimensions, checkpointing every 11160000 dimensions Mon May 11 00:20:46 2026 lanczos halted after 167886 iterations (dim = 42849681) Mon May 11 00:23:57 2026 recovered 37 nontrivial dependencies Mon May 11 00:23:58 2026 BLanczosTime: 14093 Mon May 11 00:23:58 2026 elapsed time 03:54:54 Mon May 11 00:23:59 2026 Mon May 11 00:23:59 2026 Mon May 11 00:23:59 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 11 00:23:59 2026 random seeds: 5b8589be a0d08f89 Mon May 11 00:23:59 2026 MPI process 0 of 1 Mon May 11 00:23:59 2026 Using 32 OpenMP threads Mon May 11 00:23:59 2026 factoring 3714026122224517011031511212068923364650720384419607566258048395620044445886994998551626787792040675202250213696264346557508903855554153340023554247927756175664214996871939281677712022422556903765430715099958836526247115804508072471426859489208770617315489842887 (262 digits) Mon May 11 00:24:00 2026 no P-1/P+1/ECM available, skipping Mon May 11 00:24:00 2026 commencing number field sieve (262-digit input) Mon May 11 00:24:00 2026 R0: -9366947731425726508977331996039353971111632790877 Mon May 11 00:24:00 2026 R1: 5789092068864820527338372482892113982249794889765 Mon May 11 00:24:00 2026 A0: 7 Mon May 11 00:24:00 2026 A1: -24 Mon May 11 00:24:00 2026 A2: 45 Mon May 11 00:24:00 2026 A3: -20 Mon May 11 00:24:00 2026 A4: 30 Mon May 11 00:24:00 2026 A5: 6 Mon May 11 00:24:00 2026 A6: 3 Mon May 11 00:24:00 2026 skew 1.23, size 1.380e-14, alpha 1.267, combined = 4.392e-15 rroots = 0 Mon May 11 00:24:00 2026 Mon May 11 00:24:00 2026 commencing square root phase Mon May 11 00:24:00 2026 reading relations for dependency 1 Mon May 11 00:24:05 2026 read 21429498 cycles Mon May 11 00:24:42 2026 cycles contain 72058748 unique relations Mon May 11 00:25:54 2026 read 72058748 relations Mon May 11 00:30:25 2026 multiplying 72058748 relations Mon May 11 00:34:37 2026 multiply complete, coefficients have about 2192.95 million bits Mon May 11 00:34:43 2026 initial square root is modulo 82891 Mon May 11 00:47:13 2026 sqrtTime: 1393 Mon May 11 00:47:13 2026 p89 factor: 56770143260431578430848303948400283647009826093262223074307408019031001883360250125447927 Mon May 11 00:47:13 2026 p173 factor: 65422172799292002567902383288622813356824580572132623150657280840499797335525543377199089062776676478964418779048711666866870610076236829587525756093232310440326521153570481 Mon May 11 00:47:13 2026 elapsed time 00:23:14