Sun Aug 24 12:31:17 2025 Sun Aug 24 12:31:17 2025 Sun Aug 24 12:31:17 2025 Msieve v. 1.54 (SVN unknown) Sun Aug 24 12:31:17 2025 random seeds: 52f1f803 dd9f80aa Sun Aug 24 12:31:17 2025 factoring 1486333150864842109630319392337046785922928925900103705647133687503303792891226517938936976293402091087616254000507521490406016817452858161971580197408118465161969994166929621574230471359 (187 digits) Sun Aug 24 12:31:18 2025 no P-1/P+1/ECM available, skipping Sun Aug 24 12:31:18 2025 commencing number field sieve (187-digit input) Sun Aug 24 12:31:18 2025 R0: -819776955155470693809667922658440708 Sun Aug 24 12:31:18 2025 R1: 4376569696074019839395503003 Sun Aug 24 12:31:18 2025 A0: -4484026303236725481839276888186795733184806 Sun Aug 24 12:31:18 2025 A1: 4156553150140156956321334649834540127 Sun Aug 24 12:31:18 2025 A2: -976497887051517412989241758278 Sun Aug 24 12:31:18 2025 A3: -62203252916627837241113 Sun Aug 24 12:31:18 2025 A4: 2576127470770518 Sun Aug 24 12:31:18 2025 A5: 12252240 Sun Aug 24 12:31:18 2025 skew 16043627.16, size 3.349e-18, alpha -7.880, combined = 3.668e-14 rroots = 3 Sun Aug 24 12:31:18 2025 Sun Aug 24 12:31:18 2025 commencing relation filtering Sun Aug 24 12:31:18 2025 setting target matrix density to 116.0 Sun Aug 24 12:31:18 2025 estimated available RAM is 128741.5 MB Sun Aug 24 12:31:18 2025 commencing duplicate removal, pass 1 Sun Aug 24 13:14:57 2025 error -15 reading relation 180380737 Sun Aug 24 13:15:02 2025 error -15 reading relation 180726617 Sun Aug 24 13:26:07 2025 error -5 reading relation 221741676 Sun Aug 24 13:33:58 2025 error -15 reading relation 250630182 Sun Aug 24 13:34:11 2025 error -15 reading relation 251422892 Sun Aug 24 13:35:54 2025 error -1 reading relation 257802154 Sun Aug 24 13:41:07 2025 error -11 reading relation 276993509 Sun Aug 24 13:57:31 2025 error -6 reading relation 337393866 Sun Aug 24 14:07:23 2025 error -11 reading relation 373918090 Sun Aug 24 14:14:37 2025 error -11 reading relation 400572528 Sun Aug 24 14:31:25 2025 error -1 reading relation 462521997 Sun Aug 24 15:06:13 2025 error -15 reading relation 590278417 Sun Aug 24 15:29:26 2025 error -6 reading relation 673846307 Sun Aug 24 15:29:26 2025 error -11 reading relation 673846308 Sun Aug 24 15:29:26 2025 error -6 reading relation 673846309 Sun Aug 24 15:29:26 2025 error -11 reading relation 673846310 Sun Aug 24 15:29:26 2025 error -11 reading relation 673846311 Sun Aug 24 15:29:28 2025 error -11 reading relation 673948743 Sun Aug 24 15:32:23 2025 skipped 2 relations with composite factors Sun Aug 24 15:32:23 2025 skipped 3 malformed relations Sun Aug 24 15:32:23 2025 found 49235408 hash collisions in 684825730 relations Sun Aug 24 15:33:14 2025 added 121803 free relations Sun Aug 24 15:33:14 2025 commencing duplicate removal, pass 2 Sun Aug 24 15:42:53 2025 found 2 duplicates and 684947531 unique relations Sun Aug 24 15:42:53 2025 memory use: 2643.0 MB Sun Aug 24 15:42:54 2025 reading ideals above 300351488 Sun Aug 24 15:42:54 2025 commencing singleton removal, initial pass Sun Aug 24 18:25:17 2025 memory use: 11024.0 MB Sun Aug 24 18:25:18 2025 reading all ideals from disk Sun Aug 24 18:26:33 2025 memory use: 18107.9 MB Sun Aug 24 18:27:39 2025 commencing in-memory singleton removal Sun Aug 24 18:29:57 2025 begin with 684947531 relations and 582445521 unique ideals Sun Aug 24 18:39:24 2025 reduce to 434350178 relations and 306966244 ideals in 14 passes Sun Aug 24 18:39:24 2025 max relations containing the same ideal: 37 Sun Aug 24 18:40:06 2025 reading ideals above 720000 Sun Aug 24 18:40:08 2025 commencing singleton removal, initial pass Sun Aug 24 20:58:40 2025 memory use: 11024.0 MB Sun Aug 24 20:58:42 2025 reading all ideals from disk Sun Aug 24 20:59:00 2025 memory use: 21614.0 MB Sun Aug 24 21:00:40 2025 keeping 337209490 ideals with weight <= 200, target excess is 2297130 Sun Aug 24 21:02:42 2025 commencing in-memory singleton removal Sun Aug 24 21:05:02 2025 begin with 434350178 relations and 337209490 unique ideals Sun Aug 24 21:10:08 2025 reduce to 434348840 relations and 337208152 ideals in 6 passes Sun Aug 24 21:10:08 2025 max relations containing the same ideal: 200 Sun Aug 24 21:17:03 2025 removing 13728537 relations and 11728537 ideals in 2000000 cliques Sun Aug 24 21:17:40 2025 commencing in-memory singleton removal Sun Aug 24 21:19:59 2025 begin with 420620303 relations and 337208152 unique ideals Sun Aug 24 21:26:32 2025 reduce to 420319400 relations and 325176832 ideals in 8 passes Sun Aug 24 21:26:32 2025 max relations containing the same ideal: 200 Sun Aug 24 21:33:15 2025 removing 10394459 relations and 8394459 ideals in 2000000 cliques Sun Aug 24 21:33:37 2025 commencing in-memory singleton removal Sun Aug 24 21:35:51 2025 begin with 409924941 relations and 325176832 unique ideals Sun Aug 24 21:41:25 2025 reduce to 409729940 relations and 316586265 ideals in 7 passes Sun Aug 24 21:41:25 2025 max relations containing the same ideal: 200 Sun Aug 24 21:47:35 2025 removing 9319770 relations and 7319770 ideals in 2000000 cliques Sun Aug 24 21:47:51 2025 commencing in-memory singleton removal Sun Aug 24 21:50:17 2025 begin with 400410170 relations and 316586265 unique ideals Sun Aug 24 21:55:59 2025 reduce to 400244749 relations and 309100209 ideals in 7 passes Sun Aug 24 21:55:59 2025 max relations containing the same ideal: 199 Sun Aug 24 22:01:57 2025 removing 8707968 relations and 6707968 ideals in 2000000 cliques Sun Aug 24 22:02:13 2025 commencing in-memory singleton removal Sun Aug 24 22:04:13 2025 begin with 391536781 relations and 309100209 unique ideals Sun Aug 24 22:09:30 2025 reduce to 391387836 relations and 302242526 ideals in 7 passes Sun Aug 24 22:09:30 2025 max relations containing the same ideal: 197 Sun Aug 24 22:15:22 2025 removing 8284741 relations and 6284741 ideals in 2000000 cliques Sun Aug 24 22:15:38 2025 commencing in-memory singleton removal Sun Aug 24 22:17:36 2025 begin with 383103095 relations and 302242526 unique ideals Sun Aug 24 22:22:40 2025 reduce to 382962386 relations and 295816372 ideals in 7 passes Sun Aug 24 22:22:40 2025 max relations containing the same ideal: 194 Sun Aug 24 22:28:11 2025 removing 7978165 relations and 5978165 ideals in 2000000 cliques Sun Aug 24 22:28:26 2025 commencing in-memory singleton removal Sun Aug 24 22:30:20 2025 begin with 374984221 relations and 295816372 unique ideals Sun Aug 24 22:34:27 2025 reduce to 374849728 relations and 289703004 ideals in 6 passes Sun Aug 24 22:34:27 2025 max relations containing the same ideal: 192 Sun Aug 24 22:39:54 2025 removing 7742980 relations and 5742980 ideals in 2000000 cliques Sun Aug 24 22:40:09 2025 commencing in-memory singleton removal Sun Aug 24 22:42:00 2025 begin with 367106748 relations and 289703004 unique ideals Sun Aug 24 22:46:43 2025 reduce to 366978023 relations and 283830636 ideals in 7 passes Sun Aug 24 22:46:43 2025 max relations containing the same ideal: 190 Sun Aug 24 22:52:00 2025 removing 7554827 relations and 5554827 ideals in 2000000 cliques Sun Aug 24 22:52:15 2025 commencing in-memory singleton removal Sun Aug 24 22:54:00 2025 begin with 359423196 relations and 283830636 unique ideals Sun Aug 24 22:58:37 2025 reduce to 359297117 relations and 278149035 ideals in 7 passes Sun Aug 24 22:58:37 2025 max relations containing the same ideal: 187 Sun Aug 24 23:03:46 2025 removing 7403427 relations and 5403427 ideals in 2000000 cliques Sun Aug 24 23:04:00 2025 commencing in-memory singleton removal Sun Aug 24 23:05:44 2025 begin with 351893690 relations and 278149035 unique ideals Sun Aug 24 23:10:15 2025 reduce to 351769589 relations and 272620824 ideals in 7 passes Sun Aug 24 23:10:15 2025 max relations containing the same ideal: 186 Sun Aug 24 23:16:54 2025 removing 7276581 relations and 5276581 ideals in 2000000 cliques Sun Aug 24 23:17:18 2025 commencing in-memory singleton removal Sun Aug 24 23:19:25 2025 begin with 344493008 relations and 272620824 unique ideals Sun Aug 24 23:24:29 2025 reduce to 344370699 relations and 267221244 ideals in 6 passes Sun Aug 24 23:24:29 2025 max relations containing the same ideal: 184 Sun Aug 24 23:30:42 2025 removing 7164757 relations and 5164757 ideals in 2000000 cliques Sun Aug 24 23:30:58 2025 commencing in-memory singleton removal Sun Aug 24 23:32:40 2025 begin with 337205942 relations and 267221244 unique ideals Sun Aug 24 23:36:58 2025 reduce to 337084653 relations and 261934421 ideals in 7 passes Sun Aug 24 23:36:58 2025 max relations containing the same ideal: 181 Sun Aug 24 23:42:32 2025 removing 7074018 relations and 5074018 ideals in 2000000 cliques Sun Aug 24 23:42:51 2025 commencing in-memory singleton removal Sun Aug 24 23:44:28 2025 begin with 330010635 relations and 261934421 unique ideals Sun Aug 24 23:48:11 2025 reduce to 329889770 relations and 256738787 ideals in 6 passes Sun Aug 24 23:48:11 2025 max relations containing the same ideal: 180 Sun Aug 24 23:53:08 2025 removing 6995063 relations and 4995063 ideals in 2000000 cliques Sun Aug 24 23:53:22 2025 commencing in-memory singleton removal Sun Aug 24 23:54:57 2025 begin with 322894707 relations and 256738787 unique ideals Sun Aug 24 23:58:26 2025 reduce to 322772977 relations and 251621248 ideals in 6 passes Sun Aug 24 23:58:26 2025 max relations containing the same ideal: 179 Mon Aug 25 00:03:14 2025 removing 6929961 relations and 4929961 ideals in 2000000 cliques Mon Aug 25 00:03:27 2025 commencing in-memory singleton removal Mon Aug 25 00:04:59 2025 begin with 315843016 relations and 251621248 unique ideals Mon Aug 25 00:08:31 2025 reduce to 315722374 relations and 246569791 ideals in 6 passes Mon Aug 25 00:08:31 2025 max relations containing the same ideal: 177 Mon Aug 25 00:13:01 2025 removing 6874146 relations and 4874146 ideals in 2000000 cliques Mon Aug 25 00:13:14 2025 commencing in-memory singleton removal Mon Aug 25 00:14:42 2025 begin with 308848228 relations and 246569791 unique ideals Mon Aug 25 00:18:02 2025 reduce to 308725325 relations and 241571828 ideals in 6 passes Mon Aug 25 00:18:02 2025 max relations containing the same ideal: 174 Mon Aug 25 00:22:26 2025 removing 6825781 relations and 4825781 ideals in 2000000 cliques Mon Aug 25 00:22:39 2025 commencing in-memory singleton removal Mon Aug 25 00:24:05 2025 begin with 301899544 relations and 241571828 unique ideals Mon Aug 25 00:27:19 2025 reduce to 301777135 relations and 236622740 ideals in 6 passes Mon Aug 25 00:27:19 2025 max relations containing the same ideal: 169 Mon Aug 25 00:31:39 2025 removing 6779994 relations and 4779994 ideals in 2000000 cliques Mon Aug 25 00:31:51 2025 commencing in-memory singleton removal Mon Aug 25 00:33:15 2025 begin with 294997141 relations and 236622740 unique ideals Mon Aug 25 00:36:25 2025 reduce to 294873128 relations and 231717820 ideals in 6 passes Mon Aug 25 00:36:25 2025 max relations containing the same ideal: 166 Mon Aug 25 00:40:37 2025 removing 6740674 relations and 4740674 ideals in 2000000 cliques Mon Aug 25 00:40:49 2025 commencing in-memory singleton removal Mon Aug 25 00:42:11 2025 begin with 288132454 relations and 231717820 unique ideals Mon Aug 25 00:45:17 2025 reduce to 288006781 relations and 226850536 ideals in 6 passes Mon Aug 25 00:45:17 2025 max relations containing the same ideal: 165 Mon Aug 25 00:49:25 2025 removing 6705829 relations and 4705829 ideals in 2000000 cliques Mon Aug 25 00:49:37 2025 commencing in-memory singleton removal Mon Aug 25 00:50:56 2025 begin with 281300952 relations and 226850536 unique ideals Mon Aug 25 00:53:57 2025 reduce to 281174517 relations and 222017294 ideals in 6 passes Mon Aug 25 00:53:57 2025 max relations containing the same ideal: 162 Mon Aug 25 00:58:02 2025 removing 6682398 relations and 4682398 ideals in 2000000 cliques Mon Aug 25 00:58:14 2025 commencing in-memory singleton removal Mon Aug 25 00:59:33 2025 begin with 274492119 relations and 222017294 unique ideals Mon Aug 25 01:02:35 2025 reduce to 274363001 relations and 217204757 ideals in 6 passes Mon Aug 25 01:02:35 2025 max relations containing the same ideal: 160 Mon Aug 25 01:06:37 2025 removing 6659527 relations and 4659527 ideals in 2000000 cliques Mon Aug 25 01:06:48 2025 commencing in-memory singleton removal Mon Aug 25 01:08:04 2025 begin with 267703474 relations and 217204757 unique ideals Mon Aug 25 01:11:01 2025 reduce to 267573026 relations and 212413664 ideals in 6 passes Mon Aug 25 01:11:01 2025 max relations containing the same ideal: 156 Mon Aug 25 01:14:57 2025 removing 6639237 relations and 4639237 ideals in 2000000 cliques Mon Aug 25 01:15:08 2025 commencing in-memory singleton removal Mon Aug 25 01:16:22 2025 begin with 260933789 relations and 212413664 unique ideals Mon Aug 25 01:19:44 2025 reduce to 260801197 relations and 207640708 ideals in 7 passes Mon Aug 25 01:19:44 2025 max relations containing the same ideal: 154 Mon Aug 25 01:23:32 2025 removing 6621803 relations and 4621803 ideals in 2000000 cliques Mon Aug 25 01:23:42 2025 commencing in-memory singleton removal Mon Aug 25 01:24:53 2025 begin with 254179394 relations and 207640708 unique ideals Mon Aug 25 01:27:35 2025 reduce to 254042997 relations and 202881236 ideals in 6 passes Mon Aug 25 01:27:35 2025 max relations containing the same ideal: 153 Mon Aug 25 01:31:13 2025 removing 6611546 relations and 4611546 ideals in 2000000 cliques Mon Aug 25 01:31:24 2025 commencing in-memory singleton removal Mon Aug 25 01:32:32 2025 begin with 247431451 relations and 202881236 unique ideals Mon Aug 25 01:35:35 2025 reduce to 247292411 relations and 198129334 ideals in 7 passes Mon Aug 25 01:35:35 2025 max relations containing the same ideal: 149 Mon Aug 25 01:39:07 2025 removing 6608315 relations and 4608315 ideals in 2000000 cliques Mon Aug 25 01:39:17 2025 commencing in-memory singleton removal Mon Aug 25 01:40:23 2025 begin with 240684096 relations and 198129334 unique ideals Mon Aug 25 01:42:56 2025 reduce to 240542775 relations and 193378311 ideals in 6 passes Mon Aug 25 01:42:56 2025 max relations containing the same ideal: 144 Mon Aug 25 01:46:21 2025 removing 6601005 relations and 4601005 ideals in 2000000 cliques Mon Aug 25 01:46:30 2025 commencing in-memory singleton removal Mon Aug 25 01:47:34 2025 begin with 233941770 relations and 193378311 unique ideals Mon Aug 25 01:50:03 2025 reduce to 233797019 relations and 188631131 ideals in 6 passes Mon Aug 25 01:50:03 2025 max relations containing the same ideal: 143 Mon Aug 25 01:53:22 2025 removing 6597906 relations and 4597906 ideals in 2000000 cliques Mon Aug 25 01:53:32 2025 commencing in-memory singleton removal Mon Aug 25 01:54:33 2025 begin with 227199113 relations and 188631131 unique ideals Mon Aug 25 01:57:19 2025 reduce to 227049696 relations and 183882295 ideals in 7 passes Mon Aug 25 01:57:19 2025 max relations containing the same ideal: 140 Mon Aug 25 02:00:32 2025 removing 6604170 relations and 4604170 ideals in 2000000 cliques Mon Aug 25 02:00:41 2025 commencing in-memory singleton removal Mon Aug 25 02:01:41 2025 begin with 220445526 relations and 183882295 unique ideals Mon Aug 25 02:04:00 2025 reduce to 220291784 relations and 179122817 ideals in 6 passes Mon Aug 25 02:04:00 2025 max relations containing the same ideal: 137 Mon Aug 25 02:07:08 2025 removing 6605451 relations and 4605451 ideals in 2000000 cliques Mon Aug 25 02:07:17 2025 commencing in-memory singleton removal Mon Aug 25 02:08:15 2025 begin with 213686333 relations and 179122817 unique ideals Mon Aug 25 02:10:29 2025 reduce to 213528083 relations and 174357486 ideals in 6 passes Mon Aug 25 02:10:29 2025 max relations containing the same ideal: 134 Mon Aug 25 02:13:34 2025 removing 6615947 relations and 4615947 ideals in 2000000 cliques Mon Aug 25 02:13:43 2025 commencing in-memory singleton removal Mon Aug 25 02:14:39 2025 begin with 206912136 relations and 174357486 unique ideals Mon Aug 25 02:16:49 2025 reduce to 206749936 relations and 169577573 ideals in 6 passes Mon Aug 25 02:16:49 2025 max relations containing the same ideal: 133 Mon Aug 25 02:19:47 2025 removing 6627847 relations and 4627847 ideals in 2000000 cliques Mon Aug 25 02:19:56 2025 commencing in-memory singleton removal Mon Aug 25 02:20:50 2025 begin with 200122089 relations and 169577573 unique ideals Mon Aug 25 02:22:55 2025 reduce to 199953156 relations and 164778889 ideals in 6 passes Mon Aug 25 02:22:55 2025 max relations containing the same ideal: 131 Mon Aug 25 02:25:45 2025 removing 6642367 relations and 4642367 ideals in 2000000 cliques Mon Aug 25 02:25:53 2025 commencing in-memory singleton removal Mon Aug 25 02:26:45 2025 begin with 193310789 relations and 164778889 unique ideals Mon Aug 25 02:28:46 2025 reduce to 193135587 relations and 159959378 ideals in 6 passes Mon Aug 25 02:28:46 2025 max relations containing the same ideal: 126 Mon Aug 25 02:31:30 2025 removing 6661738 relations and 4661738 ideals in 2000000 cliques Mon Aug 25 02:31:38 2025 commencing in-memory singleton removal Mon Aug 25 02:32:27 2025 begin with 186473849 relations and 159959378 unique ideals Mon Aug 25 02:34:43 2025 reduce to 186291195 relations and 155112915 ideals in 7 passes Mon Aug 25 02:34:43 2025 max relations containing the same ideal: 122 Mon Aug 25 02:37:21 2025 removing 6683784 relations and 4683784 ideals in 2000000 cliques Mon Aug 25 02:37:29 2025 commencing in-memory singleton removal Mon Aug 25 02:38:17 2025 begin with 179607411 relations and 155112915 unique ideals Mon Aug 25 02:40:09 2025 reduce to 179419457 relations and 150238907 ideals in 6 passes Mon Aug 25 02:40:09 2025 max relations containing the same ideal: 120 Mon Aug 25 02:42:43 2025 removing 6718494 relations and 4718494 ideals in 2000000 cliques Mon Aug 25 02:42:51 2025 commencing in-memory singleton removal Mon Aug 25 02:43:36 2025 begin with 172700963 relations and 150238907 unique ideals Mon Aug 25 02:45:23 2025 reduce to 172502159 relations and 145319217 ideals in 6 passes Mon Aug 25 02:45:23 2025 max relations containing the same ideal: 117 Mon Aug 25 02:47:50 2025 removing 6751615 relations and 4751615 ideals in 2000000 cliques Mon Aug 25 02:47:58 2025 commencing in-memory singleton removal Mon Aug 25 02:48:41 2025 begin with 165750544 relations and 145319217 unique ideals Mon Aug 25 02:50:40 2025 reduce to 165544768 relations and 140359226 ideals in 7 passes Mon Aug 25 02:50:40 2025 max relations containing the same ideal: 114 Mon Aug 25 02:53:01 2025 removing 6794454 relations and 4794454 ideals in 2000000 cliques Mon Aug 25 02:53:08 2025 commencing in-memory singleton removal Mon Aug 25 02:53:50 2025 begin with 158750314 relations and 140359226 unique ideals Mon Aug 25 02:55:44 2025 reduce to 158533623 relations and 135345346 ideals in 7 passes Mon Aug 25 02:55:44 2025 max relations containing the same ideal: 110 Mon Aug 25 02:58:00 2025 removing 6835480 relations and 4835480 ideals in 2000000 cliques Mon Aug 25 02:58:07 2025 commencing in-memory singleton removal Mon Aug 25 02:58:47 2025 begin with 151698143 relations and 135345346 unique ideals Mon Aug 25 03:00:21 2025 reduce to 151468324 relations and 130277012 ideals in 6 passes Mon Aug 25 03:00:21 2025 max relations containing the same ideal: 105 Mon Aug 25 03:02:30 2025 removing 6890021 relations and 4890021 ideals in 2000000 cliques Mon Aug 25 03:02:37 2025 commencing in-memory singleton removal Mon Aug 25 03:03:15 2025 begin with 144578303 relations and 130277012 unique ideals Mon Aug 25 03:04:59 2025 reduce to 144334485 relations and 125140043 ideals in 7 passes Mon Aug 25 03:04:59 2025 max relations containing the same ideal: 103 Mon Aug 25 03:07:02 2025 removing 6954265 relations and 4954265 ideals in 2000000 cliques Mon Aug 25 03:07:09 2025 commencing in-memory singleton removal Mon Aug 25 03:07:45 2025 begin with 137380220 relations and 125140043 unique ideals Mon Aug 25 03:09:23 2025 reduce to 137120303 relations and 119922342 ideals in 7 passes Mon Aug 25 03:09:23 2025 max relations containing the same ideal: 100 Mon Aug 25 03:11:20 2025 removing 7022031 relations and 5022031 ideals in 2000000 cliques Mon Aug 25 03:11:27 2025 commencing in-memory singleton removal Mon Aug 25 03:12:00 2025 begin with 130098272 relations and 119922342 unique ideals Mon Aug 25 03:13:47 2025 reduce to 129819826 relations and 114618088 ideals in 8 passes Mon Aug 25 03:13:47 2025 max relations containing the same ideal: 95 Mon Aug 25 03:15:38 2025 removing 7103766 relations and 5103766 ideals in 2000000 cliques Mon Aug 25 03:15:44 2025 commencing in-memory singleton removal Mon Aug 25 03:16:16 2025 begin with 122716060 relations and 114618088 unique ideals Mon Aug 25 03:17:43 2025 reduce to 122416402 relations and 109210344 ideals in 7 passes Mon Aug 25 03:17:43 2025 max relations containing the same ideal: 92 Mon Aug 25 03:19:28 2025 removing 7198448 relations and 5198448 ideals in 2000000 cliques Mon Aug 25 03:19:34 2025 commencing in-memory singleton removal Mon Aug 25 03:20:04 2025 begin with 115217954 relations and 109210344 unique ideals Mon Aug 25 03:21:26 2025 reduce to 114892644 relations and 103681733 ideals in 7 passes Mon Aug 25 03:21:26 2025 max relations containing the same ideal: 87 Mon Aug 25 03:23:04 2025 removing 7306072 relations and 5306072 ideals in 2000000 cliques Mon Aug 25 03:23:10 2025 commencing in-memory singleton removal Mon Aug 25 03:23:38 2025 begin with 107586572 relations and 103681733 unique ideals Mon Aug 25 03:24:53 2025 reduce to 107231778 relations and 98015280 ideals in 7 passes Mon Aug 25 03:24:53 2025 max relations containing the same ideal: 83 Mon Aug 25 03:26:26 2025 removing 7426516 relations and 5426516 ideals in 2000000 cliques Mon Aug 25 03:26:31 2025 commencing in-memory singleton removal Mon Aug 25 03:26:56 2025 begin with 99805262 relations and 98015280 unique ideals Mon Aug 25 03:28:06 2025 reduce to 99409938 relations and 92187057 ideals in 7 passes Mon Aug 25 03:28:06 2025 max relations containing the same ideal: 78 Mon Aug 25 03:29:32 2025 removing 7572131 relations and 5572131 ideals in 2000000 cliques Mon Aug 25 03:29:37 2025 commencing in-memory singleton removal Mon Aug 25 03:30:01 2025 begin with 91837807 relations and 92187057 unique ideals Mon Aug 25 03:31:05 2025 reduce to 91392547 relations and 86162075 ideals in 7 passes Mon Aug 25 03:31:05 2025 max relations containing the same ideal: 75 Mon Aug 25 03:32:24 2025 removing 7744348 relations and 5744348 ideals in 2000000 cliques Mon Aug 25 03:32:29 2025 commencing in-memory singleton removal Mon Aug 25 03:32:50 2025 begin with 83648199 relations and 86162075 unique ideals Mon Aug 25 03:33:56 2025 reduce to 83137071 relations and 79897351 ideals in 8 passes Mon Aug 25 03:33:56 2025 max relations containing the same ideal: 70 Mon Aug 25 03:35:08 2025 removing 2888920 relations and 2313871 ideals in 575049 cliques Mon Aug 25 03:35:12 2025 commencing in-memory singleton removal Mon Aug 25 03:35:32 2025 begin with 80248151 relations and 79897351 unique ideals Mon Aug 25 03:36:28 2025 reduce to 80177833 relations and 77512739 ideals in 7 passes Mon Aug 25 03:36:28 2025 max relations containing the same ideal: 69 Mon Aug 25 03:37:53 2025 relations with 0 large ideals: 8490 Mon Aug 25 03:37:53 2025 relations with 1 large ideals: 71305 Mon Aug 25 03:37:53 2025 relations with 2 large ideals: 859729 Mon Aug 25 03:37:53 2025 relations with 3 large ideals: 4484819 Mon Aug 25 03:37:53 2025 relations with 4 large ideals: 12521346 Mon Aug 25 03:37:53 2025 relations with 5 large ideals: 20686830 Mon Aug 25 03:37:53 2025 relations with 6 large ideals: 21201267 Mon Aug 25 03:37:53 2025 relations with 7+ large ideals: 20344047 Mon Aug 25 03:37:53 2025 commencing 2-way merge Mon Aug 25 03:39:32 2025 reduce to 49486861 relation sets and 46821767 unique ideals Mon Aug 25 03:39:32 2025 commencing full merge Mon Aug 25 04:03:50 2025 memory use: 5623.4 MB Mon Aug 25 04:03:59 2025 found 22630750 cycles, need 22315967 Mon Aug 25 04:04:11 2025 weight of 22315967 cycles is about 2588977863 (116.01/cycle) Mon Aug 25 04:04:12 2025 distribution of cycle lengths: Mon Aug 25 04:04:12 2025 1 relations: 1414210 Mon Aug 25 04:04:12 2025 2 relations: 1508796 Mon Aug 25 04:04:12 2025 3 relations: 1632762 Mon Aug 25 04:04:12 2025 4 relations: 1662359 Mon Aug 25 04:04:12 2025 5 relations: 1704009 Mon Aug 25 04:04:12 2025 6 relations: 1705860 Mon Aug 25 04:04:12 2025 7 relations: 1664870 Mon Aug 25 04:04:12 2025 8 relations: 1604058 Mon Aug 25 04:04:12 2025 9 relations: 1503667 Mon Aug 25 04:04:12 2025 10+ relations: 7915376 Mon Aug 25 04:04:12 2025 heaviest cycle: 25 relations Mon Aug 25 04:04:23 2025 commencing cycle optimization Mon Aug 25 04:05:39 2025 start with 179785875 relations Mon Aug 25 04:14:57 2025 pruned 7010680 relations Mon Aug 25 04:14:57 2025 memory use: 5125.7 MB Mon Aug 25 04:14:57 2025 distribution of cycle lengths: Mon Aug 25 04:14:57 2025 1 relations: 1414210 Mon Aug 25 04:14:57 2025 2 relations: 1546446 Mon Aug 25 04:14:57 2025 3 relations: 1697634 Mon Aug 25 04:14:57 2025 4 relations: 1724265 Mon Aug 25 04:14:57 2025 5 relations: 1781386 Mon Aug 25 04:14:57 2025 6 relations: 1779540 Mon Aug 25 04:14:57 2025 7 relations: 1743243 Mon Aug 25 04:14:57 2025 8 relations: 1670990 Mon Aug 25 04:14:57 2025 9 relations: 1563543 Mon Aug 25 04:14:57 2025 10+ relations: 7394710 Mon Aug 25 04:14:57 2025 heaviest cycle: 25 relations Mon Aug 25 04:15:53 2025 RelProcTime: 56675 Mon Aug 25 04:16:03 2025 elapsed time 15:44:46 Mon Aug 25 08:01:00 2025 Mon Aug 25 08:01:00 2025 Mon Aug 25 08:01:00 2025 Msieve v. 1.54 (SVN unknown) Mon Aug 25 08:01:00 2025 random seeds: ad66cbf5 b754079e Mon Aug 25 08:01:00 2025 factoring 1486333150864842109630319392337046785922928925900103705647133687503303792891226517938936976293402091087616254000507521490406016817452858161971580197408118465161969994166929621574230471359 (187 digits) Mon Aug 25 08:01:01 2025 no P-1/P+1/ECM available, skipping Mon Aug 25 08:01:01 2025 commencing number field sieve (187-digit input) Mon Aug 25 08:01:01 2025 R0: -819776955155470693809667922658440708 Mon Aug 25 08:01:01 2025 R1: 4376569696074019839395503003 Mon Aug 25 08:01:01 2025 A0: -4484026303236725481839276888186795733184806 Mon Aug 25 08:01:01 2025 A1: 4156553150140156956321334649834540127 Mon Aug 25 08:01:01 2025 A2: -976497887051517412989241758278 Mon Aug 25 08:01:01 2025 A3: -62203252916627837241113 Mon Aug 25 08:01:01 2025 A4: 2576127470770518 Mon Aug 25 08:01:01 2025 A5: 12252240 Mon Aug 25 08:01:01 2025 skew 16043627.16, size 3.349e-18, alpha -7.880, combined = 3.668e-14 rroots = 3 Mon Aug 25 08:01:01 2025 Mon Aug 25 08:01:01 2025 commencing linear algebra Mon Aug 25 08:01:01 2025 using VBITS=128 Mon Aug 25 08:01:06 2025 read 22315967 cycles Mon Aug 25 08:02:23 2025 cycles contain 78768823 unique relations Mon Aug 25 08:24:24 2025 read 78768823 relations Mon Aug 25 08:28:25 2025 using 20 quadratic characters above 4294917295 Mon Aug 25 08:37:10 2025 building initial matrix Mon Aug 25 09:10:41 2025 memory use: 11110.0 MB Mon Aug 25 09:11:06 2025 read 22315967 cycles Mon Aug 25 09:11:12 2025 matrix is 22315790 x 22315967 (10297.8 MB) with weight 3141422477 (140.77/col) Mon Aug 25 09:11:12 2025 sparse part has weight 2431708955 (108.97/col) Mon Aug 25 09:19:42 2025 filtering completed in 2 passes Mon Aug 25 09:19:50 2025 matrix is 22313954 x 22314131 (10297.6 MB) with weight 3141336564 (140.78/col) Mon Aug 25 09:19:50 2025 sparse part has weight 2431681933 (108.97/col) Mon Aug 25 09:22:31 2025 matrix starts at (0, 0) Mon Aug 25 09:22:37 2025 matrix is 22313954 x 22314131 (10297.6 MB) with weight 3141336564 (140.78/col) Mon Aug 25 09:22:37 2025 sparse part has weight 2431681933 (108.97/col) Mon Aug 25 09:22:37 2025 saving the first 112 matrix rows for later Mon Aug 25 09:22:44 2025 matrix includes 128 packed rows Mon Aug 25 09:22:53 2025 matrix is 22313842 x 22314131 (9579.5 MB) with weight 2401136167 (107.61/col) Mon Aug 25 09:22:53 2025 sparse part has weight 2243444978 (100.54/col) Mon Aug 25 09:22:54 2025 using GPU 0 (Tesla P100-PCIE-16GB) Mon Aug 25 09:22:54 2025 selected card has CUDA arch 6.0 Mon Aug 25 09:30:10 2025 commencing Lanczos iteration Mon Aug 25 09:30:13 2025 memory use: 20180.5 MB Mon Aug 25 09:42:44 2025 linear algebra at 0.1%, ETA 150h58m Mon Aug 25 09:45:54 2025 checking every 10000 dimensions, checkpointing every 150000 dimensions Mon Aug 25 18:56:43 2025 lanczos halted after 10736 iterations (dim = 1366173) Mon Aug 25 18:56:47 2025 BLanczosTime: 39346 Mon Aug 25 18:56:47 2025 Mon Aug 25 18:56:47 2025 commencing square root phase Mon Aug 25 18:56:47 2025 handling dependencies 1 to 64 Mon Aug 25 18:56:47 2025 reading relations for dependency 1 Mon Aug 25 18:56:47 2025 error: read_cycles can't open dependency file Tue Aug 26 03:01:00 2025 Tue Aug 26 03:01:00 2025 Tue Aug 26 03:01:00 2025 Msieve v. 1.54 (SVN unknown) Tue Aug 26 03:01:00 2025 random seeds: 2ec8e2a8 d9fa6887 Tue Aug 26 03:01:00 2025 factoring 1486333150864842109630319392337046785922928925900103705647133687503303792891226517938936976293402091087616254000507521490406016817452858161971580197408118465161969994166929621574230471359 (187 digits) Tue Aug 26 03:01:01 2025 no P-1/P+1/ECM available, skipping Tue Aug 26 03:01:01 2025 commencing number field sieve (187-digit input) Tue Aug 26 03:01:01 2025 R0: -819776955155470693809667922658440708 Tue Aug 26 03:01:01 2025 R1: 4376569696074019839395503003 Tue Aug 26 03:01:01 2025 A0: -4484026303236725481839276888186795733184806 Tue Aug 26 03:01:01 2025 A1: 4156553150140156956321334649834540127 Tue Aug 26 03:01:01 2025 A2: -976497887051517412989241758278 Tue Aug 26 03:01:01 2025 A3: -62203252916627837241113 Tue Aug 26 03:01:01 2025 A4: 2576127470770518 Tue Aug 26 03:01:01 2025 A5: 12252240 Tue Aug 26 03:01:01 2025 skew 16043627.16, size 3.349e-18, alpha -7.880, combined = 3.668e-14 rroots = 3 Tue Aug 26 03:01:01 2025 Tue Aug 26 03:01:01 2025 commencing linear algebra Tue Aug 26 03:01:01 2025 using VBITS=128 Tue Aug 26 03:01:54 2025 matrix starts at (0, 0) Tue Aug 26 03:02:02 2025 matrix is 22313954 x 22314131 (10297.6 MB) with weight 3141336564 (140.78/col) Tue Aug 26 03:02:02 2025 sparse part has weight 2431681933 (108.97/col) Tue Aug 26 03:02:02 2025 saving the first 112 matrix rows for later Tue Aug 26 03:02:10 2025 matrix includes 128 packed rows Tue Aug 26 03:02:20 2025 matrix is 22313842 x 22314131 (9579.5 MB) with weight 2401136167 (107.61/col) Tue Aug 26 03:02:20 2025 sparse part has weight 2243444978 (100.54/col) Tue Aug 26 03:02:21 2025 using GPU 0 (Tesla P100-PCIE-16GB) Tue Aug 26 03:02:21 2025 selected card has CUDA arch 6.0 Tue Aug 26 03:10:53 2025 commencing Lanczos iteration Tue Aug 26 03:10:56 2025 memory use: 20180.5 MB Tue Aug 26 03:10:58 2025 restarting at iteration 10736 (dim = 1366173) Tue Aug 26 03:17:54 2025 checking every 10000 dimensions, checkpointing every 150000 dimensions Tue Aug 26 03:23:51 2025 linear algebra at 6.3%, ETA 147h 1m Tue Aug 26 23:20:41 2025 lanczos halted after 34314 iterations (dim = 4366105) Tue Aug 26 23:20:46 2025 BLanczosTime: 73185 Tue Aug 26 23:20:46 2025 Tue Aug 26 23:20:46 2025 commencing square root phase Tue Aug 26 23:20:46 2025 handling dependencies 1 to 64 Tue Aug 26 23:20:46 2025 reading relations for dependency 1 Tue Aug 26 23:20:46 2025 error: read_cycles can't open dependency file Wed Aug 27 10:57:42 2025 Wed Aug 27 10:57:42 2025 Wed Aug 27 10:57:42 2025 Msieve v. 1.54 (SVN unknown) Wed Aug 27 10:57:42 2025 random seeds: cddc3179 2028d443 Wed Aug 27 10:57:42 2025 factoring 1486333150864842109630319392337046785922928925900103705647133687503303792891226517938936976293402091087616254000507521490406016817452858161971580197408118465161969994166929621574230471359 (187 digits) Wed Aug 27 10:57:43 2025 no P-1/P+1/ECM available, skipping Wed Aug 27 10:57:43 2025 commencing number field sieve (187-digit input) Wed Aug 27 10:57:43 2025 R0: -819776955155470693809667922658440708 Wed Aug 27 10:57:43 2025 R1: 4376569696074019839395503003 Wed Aug 27 10:57:43 2025 A0: -4484026303236725481839276888186795733184806 Wed Aug 27 10:57:43 2025 A1: 4156553150140156956321334649834540127 Wed Aug 27 10:57:43 2025 A2: -976497887051517412989241758278 Wed Aug 27 10:57:43 2025 A3: -62203252916627837241113 Wed Aug 27 10:57:43 2025 A4: 2576127470770518 Wed Aug 27 10:57:43 2025 A5: 12252240 Wed Aug 27 10:57:43 2025 skew 16043627.16, size 3.349e-18, alpha -7.880, combined = 3.668e-14 rroots = 3 Wed Aug 27 10:57:43 2025 Wed Aug 27 10:57:43 2025 commencing linear algebra Wed Aug 27 10:57:43 2025 using VBITS=128 Wed Aug 27 11:03:46 2025 matrix starts at (0, 0) Wed Aug 27 11:03:55 2025 matrix is 22313954 x 22314131 (10297.6 MB) with weight 3141336564 (140.78/col) Wed Aug 27 11:03:55 2025 sparse part has weight 2431681933 (108.97/col) Wed Aug 27 11:03:55 2025 saving the first 112 matrix rows for later Wed Aug 27 11:04:04 2025 matrix includes 128 packed rows Wed Aug 27 11:04:15 2025 matrix is 22313842 x 22314131 (9579.5 MB) with weight 2401136167 (107.61/col) Wed Aug 27 11:04:15 2025 sparse part has weight 2243444978 (100.54/col) Wed Aug 27 11:04:15 2025 using GPU 0 (Tesla P100-PCIE-16GB) Wed Aug 27 11:04:15 2025 selected card has CUDA arch 6.0 Wed Aug 27 11:13:05 2025 commencing Lanczos iteration Wed Aug 27 11:13:09 2025 memory use: 20180.5 MB Wed Aug 27 11:13:31 2025 restarting at iteration 34314 (dim = 4366105) Wed Aug 27 11:18:28 2025 checking every 10000 dimensions, checkpointing every 150000 dimensions Wed Aug 27 11:26:22 2025 linear algebra at 19.7%, ETA 125h41m Mon Sep 1 09:18:42 2025 lanczos halted after 175375 iterations (dim = 22313842) Mon Sep 1 09:19:45 2025 recovered 32 nontrivial dependencies Mon Sep 1 09:19:49 2025 BLanczosTime: 426126 Mon Sep 1 09:19:49 2025 Mon Sep 1 09:19:49 2025 commencing square root phase Mon Sep 1 09:19:49 2025 handling dependencies 1 to 64 Mon Sep 1 09:19:49 2025 reading relations for dependency 1 Mon Sep 1 09:22:51 2025 read 11156919 cycles Mon Sep 1 09:23:36 2025 cycles contain 39376986 unique relations Mon Sep 1 09:34:38 2025 read 39376986 relations Mon Sep 1 09:40:37 2025 multiplying 39376986 relations Mon Sep 1 11:25:44 2025 multiply complete, coefficients have about 2543.28 million bits Mon Sep 1 11:26:18 2025 initial square root is modulo 506101 Mon Sep 1 13:12:41 2025 sqrtTime: 13972 Mon Sep 1 13:12:41 2025 p90 factor: 194451826461896796913056592923278605847044620918868749252097535379450969421685534705999933 Mon Sep 1 13:12:41 2025 p97 factor: 7643708870773152141468106329465963292423828330182046563228898032596492082365947954277533758321323 Mon Sep 1 13:12:41 2025 elapsed time 122:14:59