Sun Apr 3 19:02:52 2022 Sun Apr 3 19:02:52 2022 Sun Apr 3 19:02:52 2022 Msieve v. 1.54 (SVN 1040M) Sun Apr 3 19:02:52 2022 random seeds: fb74eeb8 f7df144c Sun Apr 3 19:02:52 2022 factoring 118774638495343044085764617595746668209262348394154072091504703448929588459098368911352625946762996320778680241182601579702534542835804685795107781414309880804992674911118346161218362744529909 (192 digits) Sun Apr 3 19:02:52 2022 searching for 15-digit factors Sun Apr 3 19:02:53 2022 commencing number field sieve (192-digit input) Sun Apr 3 19:02:53 2022 R0: -4591369400118680824085671137781295259 Sun Apr 3 19:02:53 2022 R1: 3834028250588570488691 Sun Apr 3 19:02:53 2022 A0: 9376981406132107809876067048173307147544320 Sun Apr 3 19:02:53 2022 A1: 4127466627368161466860176065390233516 Sun Apr 3 19:02:53 2022 A2: -1618309897539727281336682707095 Sun Apr 3 19:02:53 2022 A3: -99550693665552197274611 Sun Apr 3 19:02:53 2022 A4: 15421737026411625 Sun Apr 3 19:02:53 2022 A5: 291060000 Sun Apr 3 19:02:53 2022 skew 10718472.39, size 1.092e-18, alpha -7.317, combined = 1.861e-14 rroots = 5 Sun Apr 3 19:02:53 2022 Sun Apr 3 19:02:53 2022 commencing relation filtering Sun Apr 3 19:02:53 2022 setting target matrix density to 130.0 Sun Apr 3 19:02:53 2022 estimated available RAM is 32768.0 MB Sun Apr 3 19:02:53 2022 commencing duplicate removal, pass 1 Sun Apr 3 19:29:59 2022 error -11 reading relation 249165229 Sun Apr 3 19:29:59 2022 error -11 reading relation 249165901 Sun Apr 3 19:29:59 2022 error -6 reading relation 249166784 Sun Apr 3 19:32:59 2022 error -15 reading relation 278448945 Sun Apr 3 19:35:12 2022 error -1 reading relation 300010222 Sun Apr 3 19:53:20 2022 error -11 reading relation 476206835 Sun Apr 3 19:56:50 2022 error -11 reading relation 510095373 Sun Apr 3 19:56:50 2022 error -11 reading relation 510095374 Sun Apr 3 19:56:50 2022 error -11 reading relation 510095672 Sun Apr 3 19:56:50 2022 error -6 reading relation 510096422 Sun Apr 3 19:56:50 2022 error -11 reading relation 510096722 Sun Apr 3 19:56:50 2022 error -11 reading relation 510096723 Sun Apr 3 19:56:50 2022 error -11 reading relation 510096831 Sun Apr 3 19:56:50 2022 error -11 reading relation 510096888 Sun Apr 3 19:56:50 2022 error -11 reading relation 510096988 Sun Apr 3 19:56:50 2022 error -15 reading relation 510097390 Sun Apr 3 19:56:50 2022 error -11 reading relation 510097440 Sun Apr 3 19:56:50 2022 error -1 reading relation 510097512 Sun Apr 3 19:56:50 2022 error -1 reading relation 510097654 Sun Apr 3 19:56:50 2022 error -15 reading relation 510098019 Sun Apr 3 19:56:50 2022 error -6 reading relation 510098195 Sun Apr 3 19:56:50 2022 error -1 reading relation 510098196 Sun Apr 3 19:56:50 2022 error -15 reading relation 510098632 Sun Apr 3 19:56:50 2022 error -1 reading relation 510099222 Sun Apr 3 19:56:50 2022 error -11 reading relation 510099285 Sun Apr 3 19:56:50 2022 error -1 reading relation 510099297 Sun Apr 3 19:56:50 2022 error -15 reading relation 510099361 Sun Apr 3 19:56:50 2022 error -15 reading relation 510099414 Sun Apr 3 19:56:50 2022 error -1 reading relation 510099618 Sun Apr 3 19:56:50 2022 error -11 reading relation 510099913 Sun Apr 3 19:56:50 2022 error -11 reading relation 510100085 Sun Apr 3 19:56:50 2022 error -9 reading relation 510100143 Sun Apr 3 19:56:50 2022 error -11 reading relation 510100168 Sun Apr 3 19:56:50 2022 error -11 reading relation 510100219 Sun Apr 3 19:56:50 2022 error -11 reading relation 510100340 Sun Apr 3 19:56:50 2022 error -11 reading relation 510100703 Sun Apr 3 19:56:50 2022 error -15 reading relation 510100724 Sun Apr 3 19:56:50 2022 error -6 reading relation 510100895 Sun Apr 3 19:56:50 2022 error -6 reading relation 510100929 Sun Apr 3 19:56:50 2022 error -15 reading relation 510101161 Sun Apr 3 19:56:50 2022 error -11 reading relation 510101323 Sun Apr 3 19:56:50 2022 error -11 reading relation 510101478 Sun Apr 3 19:56:50 2022 error -6 reading relation 510101834 Sun Apr 3 19:56:50 2022 error -11 reading relation 510101835 Sun Apr 3 19:56:50 2022 error -15 reading relation 510102011 Sun Apr 3 19:57:50 2022 error -15 reading relation 519842927 Sun Apr 3 19:57:50 2022 error -15 reading relation 519847020 Sun Apr 3 20:04:46 2022 error -15 reading relation 587011616 Sun Apr 3 20:04:46 2022 error -11 reading relation 587012135 Sun Apr 3 20:04:46 2022 error -11 reading relation 587012136 Sun Apr 3 20:04:46 2022 error -6 reading relation 587012466 Sun Apr 3 20:04:46 2022 error -11 reading relation 587012793 Sun Apr 3 20:04:46 2022 error -11 reading relation 587013090 Sun Apr 3 20:12:11 2022 error -15 reading relation 658884348 Sun Apr 3 20:17:37 2022 skipped 2 relations with b > 2^32 Sun Apr 3 20:17:37 2022 skipped 15 relations with composite factors Sun Apr 3 20:17:37 2022 found 95678066 hash collisions in 711717161 relations Sun Apr 3 20:17:58 2022 added 121597 free relations Sun Apr 3 20:17:58 2022 commencing duplicate removal, pass 2 Sun Apr 3 20:22:27 2022 found 31 duplicates and 711838727 unique relations Sun Apr 3 20:22:27 2022 memory use: 4262.0 MB Sun Apr 3 20:22:28 2022 reading ideals above 359989248 Sun Apr 3 20:22:28 2022 commencing singleton removal, initial pass Sun Apr 3 21:18:57 2022 memory use: 11024.0 MB Sun Apr 3 21:18:58 2022 reading all ideals from disk Sun Apr 3 21:19:09 2022 memory use: 13410.1 MB Sun Apr 3 21:19:44 2022 commencing in-memory singleton removal Sun Apr 3 21:20:13 2022 begin with 711838727 relations and 612049382 unique ideals Sun Apr 3 21:25:09 2022 reduce to 459522294 relations and 333753692 ideals in 15 passes Sun Apr 3 21:25:09 2022 max relations containing the same ideal: 52 Sun Apr 3 21:25:47 2022 reading ideals above 720000 Sun Apr 3 21:25:48 2022 commencing singleton removal, initial pass Sun Apr 3 22:13:09 2022 memory use: 11024.0 MB Sun Apr 3 22:13:10 2022 reading large ideals from disk Sun Apr 3 22:21:29 2022 keeping 342424447 ideals with weight <= 20, target excess is 29952250 Sun Apr 3 22:29:29 2022 memory use: 10353.0 MB Sun Apr 3 22:29:29 2022 commencing in-memory singleton removal Sun Apr 3 22:29:48 2022 begin with 459522294 relations and 342424447 unique ideals Sun Apr 3 22:32:00 2022 reduce to 459518831 relations and 342420984 ideals in 7 passes Sun Apr 3 22:32:00 2022 max relations containing the same ideal: 20 Sun Apr 3 22:34:02 2022 removing 15035959 relations and 13035959 ideals in 2000000 cliques Sun Apr 3 22:34:11 2022 commencing in-memory singleton removal Sun Apr 3 22:34:30 2022 begin with 444482872 relations and 342420984 unique ideals Sun Apr 3 22:37:13 2022 reduce to 444070885 relations and 328970280 ideals in 9 passes Sun Apr 3 22:37:13 2022 max relations containing the same ideal: 20 Sun Apr 3 22:39:10 2022 removing 11226562 relations and 9226562 ideals in 2000000 cliques Sun Apr 3 22:39:18 2022 commencing in-memory singleton removal Sun Apr 3 22:39:37 2022 begin with 432844323 relations and 328970280 unique ideals Sun Apr 3 22:41:39 2022 reduce to 432588592 relations and 319486575 ideals in 7 passes Sun Apr 3 22:41:39 2022 max relations containing the same ideal: 20 Sun Apr 3 22:43:32 2022 removing 10040570 relations and 8040570 ideals in 2000000 cliques Sun Apr 3 22:43:40 2022 commencing in-memory singleton removal Sun Apr 3 22:43:58 2022 begin with 422548022 relations and 319486575 unique ideals Sun Apr 3 22:45:56 2022 reduce to 422333990 relations and 311230879 ideals in 7 passes Sun Apr 3 22:45:56 2022 max relations containing the same ideal: 20 Sun Apr 3 22:47:46 2022 removing 9328708 relations and 7328708 ideals in 2000000 cliques Sun Apr 3 22:47:55 2022 commencing in-memory singleton removal Sun Apr 3 22:48:11 2022 begin with 413005282 relations and 311230879 unique ideals Sun Apr 3 22:50:24 2022 reduce to 412810463 relations and 303706376 ideals in 8 passes Sun Apr 3 22:50:24 2022 max relations containing the same ideal: 20 Sun Apr 3 22:52:10 2022 removing 8870609 relations and 6870609 ideals in 2000000 cliques Sun Apr 3 22:52:18 2022 commencing in-memory singleton removal Sun Apr 3 22:52:35 2022 begin with 403939854 relations and 303706376 unique ideals Sun Apr 3 22:54:26 2022 reduce to 403757336 relations and 296652379 ideals in 7 passes Sun Apr 3 22:54:26 2022 max relations containing the same ideal: 20 Sun Apr 3 22:56:11 2022 removing 8524954 relations and 6524954 ideals in 2000000 cliques Sun Apr 3 22:56:19 2022 commencing in-memory singleton removal Sun Apr 3 22:56:35 2022 begin with 395232382 relations and 296652379 unique ideals Sun Apr 3 22:58:41 2022 reduce to 395060181 relations and 289954381 ideals in 8 passes Sun Apr 3 22:58:41 2022 max relations containing the same ideal: 20 Sun Apr 3 23:00:23 2022 removing 8245180 relations and 6245180 ideals in 2000000 cliques Sun Apr 3 23:00:31 2022 commencing in-memory singleton removal Sun Apr 3 23:00:47 2022 begin with 386815001 relations and 289954381 unique ideals Sun Apr 3 23:02:33 2022 reduce to 386646486 relations and 283539789 ideals in 7 passes Sun Apr 3 23:02:33 2022 max relations containing the same ideal: 20 Sun Apr 3 23:04:12 2022 removing 8047149 relations and 6047149 ideals in 2000000 cliques Sun Apr 3 23:04:19 2022 commencing in-memory singleton removal Sun Apr 3 23:04:35 2022 begin with 378599337 relations and 283539789 unique ideals Sun Apr 3 23:06:19 2022 reduce to 378438487 relations and 277330968 ideals in 7 passes Sun Apr 3 23:06:19 2022 max relations containing the same ideal: 20 Sun Apr 3 23:07:57 2022 removing 7906291 relations and 5906291 ideals in 2000000 cliques Sun Apr 3 23:08:04 2022 commencing in-memory singleton removal Sun Apr 3 23:08:19 2022 begin with 370532196 relations and 277330968 unique ideals Sun Apr 3 23:10:00 2022 reduce to 370372820 relations and 271264414 ideals in 7 passes Sun Apr 3 23:10:00 2022 max relations containing the same ideal: 20 Sun Apr 3 23:11:36 2022 removing 7776062 relations and 5776062 ideals in 2000000 cliques Sun Apr 3 23:11:43 2022 commencing in-memory singleton removal Sun Apr 3 23:11:57 2022 begin with 362596758 relations and 271264414 unique ideals Sun Apr 3 23:13:49 2022 reduce to 362442136 relations and 265332830 ideals in 8 passes Sun Apr 3 23:13:49 2022 max relations containing the same ideal: 20 Sun Apr 3 23:15:23 2022 removing 7637989 relations and 5637989 ideals in 2000000 cliques Sun Apr 3 23:15:30 2022 commencing in-memory singleton removal Sun Apr 3 23:15:44 2022 begin with 354804147 relations and 265332830 unique ideals Sun Apr 3 23:17:21 2022 reduce to 354647725 relations and 259537518 ideals in 7 passes Sun Apr 3 23:17:21 2022 max relations containing the same ideal: 20 Sun Apr 3 23:18:53 2022 removing 7506687 relations and 5506687 ideals in 2000000 cliques Sun Apr 3 23:18:59 2022 commencing in-memory singleton removal Sun Apr 3 23:19:13 2022 begin with 347141038 relations and 259537518 unique ideals Sun Apr 3 23:21:02 2022 reduce to 346983102 relations and 253871971 ideals in 8 passes Sun Apr 3 23:21:02 2022 max relations containing the same ideal: 20 Sun Apr 3 23:22:32 2022 removing 7467812 relations and 5467812 ideals in 2000000 cliques Sun Apr 3 23:22:39 2022 commencing in-memory singleton removal Sun Apr 3 23:22:52 2022 begin with 339515290 relations and 253871971 unique ideals Sun Apr 3 23:24:24 2022 reduce to 339360835 relations and 248248768 ideals in 7 passes Sun Apr 3 23:24:24 2022 max relations containing the same ideal: 20 Sun Apr 3 23:25:51 2022 removing 7391445 relations and 5391445 ideals in 2000000 cliques Sun Apr 3 23:25:57 2022 commencing in-memory singleton removal Sun Apr 3 23:26:10 2022 begin with 331969390 relations and 248248768 unique ideals Sun Apr 3 23:27:39 2022 reduce to 331813579 relations and 242700533 ideals in 7 passes Sun Apr 3 23:27:39 2022 max relations containing the same ideal: 20 Sun Apr 3 23:29:05 2022 removing 7318486 relations and 5318486 ideals in 2000000 cliques Sun Apr 3 23:29:11 2022 commencing in-memory singleton removal Sun Apr 3 23:29:24 2022 begin with 324495093 relations and 242700533 unique ideals Sun Apr 3 23:30:49 2022 reduce to 324336543 relations and 237222457 ideals in 7 passes Sun Apr 3 23:30:49 2022 max relations containing the same ideal: 20 Sun Apr 3 23:32:13 2022 removing 7228001 relations and 5228001 ideals in 2000000 cliques Sun Apr 3 23:32:19 2022 commencing in-memory singleton removal Sun Apr 3 23:32:31 2022 begin with 317108542 relations and 237222457 unique ideals Sun Apr 3 23:33:44 2022 reduce to 316945798 relations and 231830601 ideals in 6 passes Sun Apr 3 23:33:44 2022 max relations containing the same ideal: 20 Sun Apr 3 23:35:06 2022 removing 7265687 relations and 5265687 ideals in 2000000 cliques Sun Apr 3 23:35:12 2022 commencing in-memory singleton removal Sun Apr 3 23:35:24 2022 begin with 309680111 relations and 231830601 unique ideals Sun Apr 3 23:36:45 2022 reduce to 309520165 relations and 226403851 ideals in 7 passes Sun Apr 3 23:36:45 2022 max relations containing the same ideal: 20 Sun Apr 3 23:38:04 2022 removing 7215797 relations and 5215797 ideals in 2000000 cliques Sun Apr 3 23:38:10 2022 commencing in-memory singleton removal Sun Apr 3 23:38:22 2022 begin with 302304368 relations and 226403851 unique ideals Sun Apr 3 23:39:30 2022 reduce to 302144207 relations and 221026675 ideals in 6 passes Sun Apr 3 23:39:30 2022 max relations containing the same ideal: 20 Sun Apr 3 23:40:48 2022 removing 7185403 relations and 5185403 ideals in 2000000 cliques Sun Apr 3 23:40:54 2022 commencing in-memory singleton removal Sun Apr 3 23:41:05 2022 begin with 294958804 relations and 221026675 unique ideals Sun Apr 3 23:42:12 2022 reduce to 294796165 relations and 215677385 ideals in 6 passes Sun Apr 3 23:42:12 2022 max relations containing the same ideal: 20 Sun Apr 3 23:43:26 2022 removing 7084380 relations and 5084380 ideals in 2000000 cliques Sun Apr 3 23:43:32 2022 commencing in-memory singleton removal Sun Apr 3 23:43:42 2022 begin with 287711785 relations and 215677385 unique ideals Sun Apr 3 23:44:47 2022 reduce to 287541306 relations and 210421300 ideals in 6 passes Sun Apr 3 23:44:47 2022 max relations containing the same ideal: 20 Sun Apr 3 23:45:58 2022 removing 7135048 relations and 5135048 ideals in 2000000 cliques Sun Apr 3 23:46:04 2022 commencing in-memory singleton removal Sun Apr 3 23:46:14 2022 begin with 280406258 relations and 210421300 unique ideals Sun Apr 3 23:47:26 2022 reduce to 280236735 relations and 205115357 ideals in 7 passes Sun Apr 3 23:47:26 2022 max relations containing the same ideal: 20 Sun Apr 3 23:48:35 2022 removing 7020246 relations and 5020246 ideals in 2000000 cliques Sun Apr 3 23:48:41 2022 commencing in-memory singleton removal Sun Apr 3 23:48:51 2022 begin with 273216489 relations and 205115357 unique ideals Sun Apr 3 23:50:01 2022 reduce to 273028058 relations and 199905199 ideals in 7 passes Sun Apr 3 23:50:01 2022 max relations containing the same ideal: 20 Sun Apr 3 23:51:10 2022 removing 7146247 relations and 5146247 ideals in 2000000 cliques Sun Apr 3 23:51:15 2022 commencing in-memory singleton removal Sun Apr 3 23:51:25 2022 begin with 265881811 relations and 199905199 unique ideals Sun Apr 3 23:52:22 2022 reduce to 265700907 relations and 194576561 ideals in 6 passes Sun Apr 3 23:52:22 2022 max relations containing the same ideal: 20 Sun Apr 3 23:53:29 2022 removing 7068124 relations and 5068124 ideals in 2000000 cliques Sun Apr 3 23:53:34 2022 commencing in-memory singleton removal Sun Apr 3 23:53:44 2022 begin with 258632783 relations and 194576561 unique ideals Sun Apr 3 23:54:48 2022 reduce to 258447295 relations and 189321345 ideals in 7 passes Sun Apr 3 23:54:48 2022 max relations containing the same ideal: 20 Sun Apr 3 23:55:53 2022 removing 7088773 relations and 5088773 ideals in 2000000 cliques Sun Apr 3 23:55:59 2022 commencing in-memory singleton removal Sun Apr 3 23:56:08 2022 begin with 251358522 relations and 189321345 unique ideals Sun Apr 3 23:57:02 2022 reduce to 251167935 relations and 184040252 ideals in 6 passes Sun Apr 3 23:57:02 2022 max relations containing the same ideal: 20 Sun Apr 3 23:58:05 2022 removing 7106047 relations and 5106047 ideals in 2000000 cliques Sun Apr 3 23:58:10 2022 commencing in-memory singleton removal Sun Apr 3 23:58:18 2022 begin with 244061888 relations and 184040252 unique ideals Sun Apr 3 23:59:17 2022 reduce to 243867656 relations and 178738163 ideals in 7 passes Sun Apr 3 23:59:17 2022 max relations containing the same ideal: 20 Mon Apr 4 00:00:19 2022 removing 7018978 relations and 5018978 ideals in 2000000 cliques Mon Apr 4 00:00:23 2022 commencing in-memory singleton removal Mon Apr 4 00:00:32 2022 begin with 236848678 relations and 178738163 unique ideals Mon Apr 4 00:01:31 2022 reduce to 236645350 relations and 173513961 ideals in 7 passes Mon Apr 4 00:01:31 2022 max relations containing the same ideal: 20 Mon Apr 4 00:02:31 2022 removing 7149623 relations and 5149623 ideals in 2000000 cliques Mon Apr 4 00:02:36 2022 commencing in-memory singleton removal Mon Apr 4 00:02:44 2022 begin with 229495727 relations and 173513961 unique ideals Mon Apr 4 00:03:40 2022 reduce to 229290997 relations and 168157666 ideals in 7 passes Mon Apr 4 00:03:40 2022 max relations containing the same ideal: 20 Mon Apr 4 00:04:38 2022 removing 7110318 relations and 5110318 ideals in 2000000 cliques Mon Apr 4 00:04:42 2022 commencing in-memory singleton removal Mon Apr 4 00:04:50 2022 begin with 222180679 relations and 168157666 unique ideals Mon Apr 4 00:05:44 2022 reduce to 221965588 relations and 162830150 ideals in 7 passes Mon Apr 4 00:05:44 2022 max relations containing the same ideal: 20 Mon Apr 4 00:06:40 2022 removing 7133757 relations and 5133757 ideals in 2000000 cliques Mon Apr 4 00:06:44 2022 commencing in-memory singleton removal Mon Apr 4 00:06:52 2022 begin with 214831831 relations and 162830150 unique ideals Mon Apr 4 00:07:43 2022 reduce to 214604623 relations and 157466877 ideals in 7 passes Mon Apr 4 00:07:43 2022 max relations containing the same ideal: 19 Mon Apr 4 00:08:37 2022 removing 6988663 relations and 4988663 ideals in 2000000 cliques Mon Apr 4 00:08:41 2022 commencing in-memory singleton removal Mon Apr 4 00:08:49 2022 begin with 207615960 relations and 157466877 unique ideals Mon Apr 4 00:09:44 2022 reduce to 207347623 relations and 152207065 ideals in 8 passes Mon Apr 4 00:09:44 2022 max relations containing the same ideal: 19 Mon Apr 4 00:10:37 2022 removing 7224368 relations and 5224368 ideals in 2000000 cliques Mon Apr 4 00:10:41 2022 commencing in-memory singleton removal Mon Apr 4 00:10:48 2022 begin with 200123255 relations and 152207065 unique ideals Mon Apr 4 00:11:42 2022 reduce to 199870019 relations and 146726671 ideals in 8 passes Mon Apr 4 00:11:42 2022 max relations containing the same ideal: 19 Mon Apr 4 00:12:32 2022 removing 7227798 relations and 5227798 ideals in 2000000 cliques Mon Apr 4 00:12:37 2022 commencing in-memory singleton removal Mon Apr 4 00:12:43 2022 begin with 192642221 relations and 146726671 unique ideals Mon Apr 4 00:13:28 2022 reduce to 192387811 relations and 141241520 ideals in 7 passes Mon Apr 4 00:13:28 2022 max relations containing the same ideal: 18 Mon Apr 4 00:14:18 2022 removing 7223661 relations and 5223661 ideals in 2000000 cliques Mon Apr 4 00:14:22 2022 commencing in-memory singleton removal Mon Apr 4 00:14:28 2022 begin with 185164150 relations and 141241520 unique ideals Mon Apr 4 00:15:17 2022 reduce to 184888540 relations and 135739101 ideals in 8 passes Mon Apr 4 00:15:17 2022 max relations containing the same ideal: 18 Mon Apr 4 00:16:04 2022 removing 7362201 relations and 5362201 ideals in 2000000 cliques Mon Apr 4 00:16:08 2022 commencing in-memory singleton removal Mon Apr 4 00:16:14 2022 begin with 177526339 relations and 135739101 unique ideals Mon Apr 4 00:17:00 2022 reduce to 177243371 relations and 130090673 ideals in 8 passes Mon Apr 4 00:17:00 2022 max relations containing the same ideal: 18 Mon Apr 4 00:17:45 2022 removing 7335062 relations and 5335062 ideals in 2000000 cliques Mon Apr 4 00:17:49 2022 commencing in-memory singleton removal Mon Apr 4 00:17:55 2022 begin with 169908309 relations and 130090673 unique ideals Mon Apr 4 00:18:50 2022 reduce to 169595250 relations and 124438796 ideals in 10 passes Mon Apr 4 00:18:50 2022 max relations containing the same ideal: 18 Mon Apr 4 00:19:33 2022 removing 7294631 relations and 5294631 ideals in 2000000 cliques Mon Apr 4 00:19:37 2022 commencing in-memory singleton removal Mon Apr 4 00:19:42 2022 begin with 162300619 relations and 124438796 unique ideals Mon Apr 4 00:20:27 2022 reduce to 161950426 relations and 118789567 ideals in 9 passes Mon Apr 4 00:20:27 2022 max relations containing the same ideal: 18 Mon Apr 4 00:21:08 2022 removing 7540773 relations and 5540773 ideals in 2000000 cliques Mon Apr 4 00:21:12 2022 commencing in-memory singleton removal Mon Apr 4 00:21:16 2022 begin with 154409653 relations and 118789567 unique ideals Mon Apr 4 00:22:00 2022 reduce to 154062709 relations and 112897353 ideals in 9 passes Mon Apr 4 00:22:00 2022 max relations containing the same ideal: 18 Mon Apr 4 00:22:39 2022 removing 7550692 relations and 5550692 ideals in 2000000 cliques Mon Apr 4 00:22:42 2022 commencing in-memory singleton removal Mon Apr 4 00:22:47 2022 begin with 146512017 relations and 112897353 unique ideals Mon Apr 4 00:23:22 2022 reduce to 146134843 relations and 106964469 ideals in 8 passes Mon Apr 4 00:23:22 2022 max relations containing the same ideal: 17 Mon Apr 4 00:23:59 2022 removing 7479623 relations and 5479623 ideals in 2000000 cliques Mon Apr 4 00:24:02 2022 commencing in-memory singleton removal Mon Apr 4 00:24:06 2022 begin with 138655220 relations and 106964469 unique ideals Mon Apr 4 00:24:40 2022 reduce to 138203608 relations and 101026758 ideals in 8 passes Mon Apr 4 00:24:40 2022 max relations containing the same ideal: 17 Mon Apr 4 00:25:15 2022 removing 7698840 relations and 5698840 ideals in 2000000 cliques Mon Apr 4 00:25:19 2022 commencing in-memory singleton removal Mon Apr 4 00:25:22 2022 begin with 130504768 relations and 101026758 unique ideals Mon Apr 4 00:25:53 2022 reduce to 130029020 relations and 94845077 ideals in 8 passes Mon Apr 4 00:25:53 2022 max relations containing the same ideal: 17 Mon Apr 4 00:26:26 2022 removing 2066646 relations and 1627314 ideals in 439332 cliques Mon Apr 4 00:26:28 2022 commencing in-memory singleton removal Mon Apr 4 00:26:32 2022 begin with 127962374 relations and 94845077 unique ideals Mon Apr 4 00:26:59 2022 reduce to 127926061 relations and 93181318 ideals in 7 passes Mon Apr 4 00:26:59 2022 max relations containing the same ideal: 16 Mon Apr 4 00:27:34 2022 relations with 0 large ideals: 6656765 Mon Apr 4 00:27:34 2022 relations with 1 large ideals: 30206919 Mon Apr 4 00:27:34 2022 relations with 2 large ideals: 48192766 Mon Apr 4 00:27:34 2022 relations with 3 large ideals: 32474789 Mon Apr 4 00:27:34 2022 relations with 4 large ideals: 9323098 Mon Apr 4 00:27:34 2022 relations with 5 large ideals: 1036011 Mon Apr 4 00:27:34 2022 relations with 6 large ideals: 35324 Mon Apr 4 00:27:34 2022 relations with 7+ large ideals: 389 Mon Apr 4 00:27:34 2022 commencing 2-way merge Mon Apr 4 00:28:24 2022 reduce to 74537042 relation sets and 39792299 unique ideals Mon Apr 4 00:28:24 2022 commencing full merge Mon Apr 4 00:33:03 2022 memory use: 3516.8 MB Mon Apr 4 00:33:09 2022 found 36048873 cycles, need 31920499 Mon Apr 4 00:33:11 2022 weight of 31920499 cycles is about 3268167255 (102.38/cycle) Mon Apr 4 00:33:11 2022 distribution of cycle lengths: Mon Apr 4 00:33:11 2022 1 relations: 6661994 Mon Apr 4 00:33:11 2022 2 relations: 2825601 Mon Apr 4 00:33:11 2022 3 relations: 2139213 Mon Apr 4 00:33:11 2022 4 relations: 1894941 Mon Apr 4 00:33:11 2022 5 relations: 1815668 Mon Apr 4 00:33:11 2022 6 relations: 1740560 Mon Apr 4 00:33:11 2022 7 relations: 1705494 Mon Apr 4 00:33:11 2022 8 relations: 1653516 Mon Apr 4 00:33:11 2022 9 relations: 1598446 Mon Apr 4 00:33:11 2022 10+ relations: 9885066 Mon Apr 4 00:33:11 2022 heaviest cycle: 20 relations Mon Apr 4 00:33:12 2022 commencing cycle optimization Mon Apr 4 00:33:53 2022 start with 216797020 relations Mon Apr 4 00:40:47 2022 pruned 12465271 relations Mon Apr 4 00:40:47 2022 memory use: 6426.8 MB Mon Apr 4 00:40:48 2022 distribution of cycle lengths: Mon Apr 4 00:40:48 2022 1 relations: 6661994 Mon Apr 4 00:40:48 2022 2 relations: 2918979 Mon Apr 4 00:40:48 2022 3 relations: 2250483 Mon Apr 4 00:40:48 2022 4 relations: 2009641 Mon Apr 4 00:40:48 2022 5 relations: 1953245 Mon Apr 4 00:40:48 2022 6 relations: 1887893 Mon Apr 4 00:40:48 2022 7 relations: 1865398 Mon Apr 4 00:40:48 2022 8 relations: 1806139 Mon Apr 4 00:40:48 2022 9 relations: 1742582 Mon Apr 4 00:40:48 2022 10+ relations: 8824145 Mon Apr 4 00:40:48 2022 heaviest cycle: 20 relations Mon Apr 4 00:41:14 2022 RelProcTime: 20301 Mon Apr 4 00:41:14 2022 Mon Apr 4 00:41:14 2022 commencing linear algebra Mon Apr 4 00:41:19 2022 read 31920499 cycles Mon Apr 4 00:42:16 2022 cycles contain 106391054 unique relations Mon Apr 4 00:49:40 2022 read 106391054 relations Mon Apr 4 00:53:54 2022 using 20 quadratic characters above 4294917295 Mon Apr 4 01:00:24 2022 building initial matrix Mon Apr 4 01:16:14 2022 memory use: 14815.2 MB Mon Apr 4 01:16:47 2022 read 31920499 cycles Mon Apr 4 01:16:57 2022 matrix is 31917742 x 31920499 (12718.8 MB) with weight 3864059481 (121.05/col) Mon Apr 4 01:16:57 2022 sparse part has weight 2951100295 (92.45/col) Mon Apr 4 01:25:01 2022 filtering completed in 3 passes Mon Apr 4 01:25:05 2022 matrix is 31852826 x 31853026 (12703.1 MB) with weight 3858871445 (121.15/col) Mon Apr 4 01:25:05 2022 sparse part has weight 2947817147 (92.54/col) Mon Apr 4 01:26:36 2022 matrix starts at (0, 0) Mon Apr 4 01:26:39 2022 matrix is 31852826 x 31853026 (12703.1 MB) with weight 3858871445 (121.15/col) Mon Apr 4 01:26:39 2022 sparse part has weight 2947817147 (92.54/col) Mon Apr 4 01:26:39 2022 saving the first 48 matrix rows for later Mon Apr 4 01:26:42 2022 matrix includes 64 packed rows Mon Apr 4 01:26:45 2022 matrix is 31852778 x 31853026 (12302.8 MB) with weight 3235831557 (101.59/col) Mon Apr 4 01:26:45 2022 sparse part has weight 2906583288 (91.25/col) Mon Apr 4 01:26:45 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Mon Apr 4 01:28:43 2022 commencing Lanczos iteration (16 threads) Mon Apr 4 01:28:43 2022 memory use: 11981.6 MB Mon Apr 4 01:29:28 2022 linear algebra at 0.0%, ETA 244h47m Mon Apr 4 01:29:41 2022 checkpointing every 140000 dimensions Thu Apr 14 03:07:47 2022 lanczos halted after 503713 iterations (dim = 31852771) Thu Apr 14 03:08:10 2022 recovered 26 nontrivial dependencies Thu Apr 14 03:08:29 2022 BLanczosTime: 872835 Thu Apr 14 03:08:29 2022 Thu Apr 14 03:08:29 2022 commencing square root phase Thu Apr 14 03:08:29 2022 handling dependencies 1 to 64 Thu Apr 14 03:08:29 2022 reading relations for dependency 1 Thu Apr 14 03:08:34 2022 read 15929518 cycles Thu Apr 14 03:09:00 2022 cycles contain 53158084 unique relations Thu Apr 14 03:13:09 2022 read 53158084 relations Thu Apr 14 03:17:19 2022 multiplying 53158084 relations Thu Apr 14 04:38:29 2022 multiply complete, coefficients have about 3611.08 million bits Thu Apr 14 04:38:47 2022 initial square root is modulo 125638067 Thu Apr 14 06:12:20 2022 GCD is 1, no factor found Thu Apr 14 06:12:20 2022 reading relations for dependency 2 Thu Apr 14 06:12:25 2022 read 15920459 cycles Thu Apr 14 06:12:51 2022 cycles contain 53133292 unique relations Thu Apr 14 06:17:02 2022 read 53133292 relations Thu Apr 14 06:21:17 2022 multiplying 53133292 relations Thu Apr 14 07:43:30 2022 multiply complete, coefficients have about 3609.42 million bits Thu Apr 14 07:43:47 2022 initial square root is modulo 124570331 Thu Apr 14 09:14:03 2022 GCD is 1, no factor found ... Thu Apr 14 08:14:34 2022 reading relations for dependency 6 Thu Apr 14 08:14:40 2022 read 15927278 cycles Thu Apr 14 08:15:08 2022 cycles contain 53162366 unique relations Thu Apr 14 08:19:28 2022 read 53162366 relations Thu Apr 14 08:24:14 2022 multiplying 53162366 relations Thu Apr 14 09:43:20 2022 multiply complete, coefficients have about 3611.37 million bits Thu Apr 14 09:43:40 2022 initial square root is modulo 125831291 Thu Apr 14 11:09:10 2022 sqrtTime: 10476 Thu Apr 14 11:09:10 2022 p72 factor: 314534146901137451329638216473219906426945703166112022113211793124315149 Thu Apr 14 11:09:10 2022 p120 factor: 377620807360784263377328831234118657430041468700255455526003244385259614785894562304052135664516254251322772932741071241 Thu Apr 14 11:09:10 2022 elapsed time 02:54:37