Sun Sep 16 11:55:26 2018 Sun Sep 16 11:55:26 2018 Sun Sep 16 11:55:26 2018 Msieve v. 1.52 (SVN unknown) Sun Sep 16 11:55:26 2018 random seeds: 6af3b3ad e67a29ef Sun Sep 16 11:55:26 2018 factoring 28233346360797706582983532896286346122910620488805239739699415872705646036968439590028785884686926143888123830264104162865700377302657700507385396484495331232213130614697834588893130602308219209175534681786484489314449 (218 digits) Sun Sep 16 11:55:27 2018 no P-1/P+1/ECM available, skipping Sun Sep 16 11:55:27 2018 commencing number field sieve (218-digit input) Sun Sep 16 11:55:27 2018 R0: 11150372599265311570767859136324180752990208 Sun Sep 16 11:55:27 2018 R1: -1 Sun Sep 16 11:55:27 2018 A0: -2 Sun Sep 16 11:55:27 2018 A1: 0 Sun Sep 16 11:55:27 2018 A2: 0 Sun Sep 16 11:55:27 2018 A3: 0 Sun Sep 16 11:55:27 2018 A4: 0 Sun Sep 16 11:55:27 2018 A5: 0 Sun Sep 16 11:55:27 2018 A6: 13 Sun Sep 16 11:55:27 2018 skew 0.73, size 1.014e-12, alpha 0.936, combined = 1.157e-13 rroots = 2 Sun Sep 16 11:55:27 2018 Sun Sep 16 11:55:27 2018 commencing relation filtering Sun Sep 16 11:55:27 2018 setting target matrix density to 128.0 Sun Sep 16 11:55:27 2018 estimated available RAM is 64346.2 MB Sun Sep 16 11:55:27 2018 commencing duplicate removal, pass 1 Sun Sep 16 12:15:39 2018 error -1 reading relation 233353991 .... Sun Sep 16 12:47:46 2018 error -15 reading relation 609093952 Sun Sep 16 12:49:20 2018 skipped 787 relations with b > 2^32 Sun Sep 16 12:49:20 2018 found 76154951 hash collisions in 627320379 relations Sun Sep 16 12:49:35 2018 added 1219221 free relations Sun Sep 16 12:49:35 2018 commencing duplicate removal, pass 2 Sun Sep 16 13:18:05 2018 found 0 duplicates and 628539600 unique relations Sun Sep 16 13:18:05 2018 memory use: 2387.0 MB Sun Sep 16 13:18:05 2018 reading ideals above 244252672 Sun Sep 16 13:18:05 2018 commencing singleton removal, initial pass Sun Sep 16 15:47:30 2018 memory use: 11024.0 MB Sun Sep 16 15:47:31 2018 reading all ideals from disk Sun Sep 16 15:51:01 2018 memory use: 11887.1 MB Sun Sep 16 15:51:38 2018 commencing in-memory singleton removal Sun Sep 16 15:52:15 2018 begin with 628539600 relations and 586124126 unique ideals Sun Sep 16 15:59:38 2018 reduce to 337058292 relations and 255868973 ideals in 17 passes Sun Sep 16 15:59:38 2018 max relations containing the same ideal: 31 Sun Sep 16 16:00:07 2018 reading ideals above 720000 Sun Sep 16 16:00:07 2018 commencing singleton removal, initial pass Sun Sep 16 16:51:59 2018 memory use: 6024.0 MB Sun Sep 16 16:52:00 2018 reading all ideals from disk Sun Sep 16 16:55:12 2018 memory use: 13656.3 MB Sun Sep 16 16:55:56 2018 keeping 281022161 ideals with weight <= 200, target excess is 1609708 Sun Sep 16 16:56:48 2018 commencing in-memory singleton removal Sun Sep 16 16:57:27 2018 begin with 337058292 relations and 281022161 unique ideals Sun Sep 16 17:00:36 2018 reduce to 337057730 relations and 281021599 ideals in 5 passes Sun Sep 16 17:00:36 2018 max relations containing the same ideal: 200 Sun Sep 16 17:03:54 2018 removing 17823297 relations and 15823297 ideals in 2000000 cliques Sun Sep 16 17:04:02 2018 commencing in-memory singleton removal Sun Sep 16 17:04:39 2018 begin with 319234433 relations and 281021599 unique ideals Sun Sep 16 17:10:18 2018 reduce to 318483036 relations and 264440154 ideals in 9 passes Sun Sep 16 17:10:18 2018 max relations containing the same ideal: 199 Sun Sep 16 17:13:10 2018 removing 13097166 relations and 11097166 ideals in 2000000 cliques Sun Sep 16 17:13:16 2018 commencing in-memory singleton removal Sun Sep 16 17:13:44 2018 begin with 305385870 relations and 264440154 unique ideals Sun Sep 16 17:17:38 2018 reduce to 304935585 relations and 252889440 ideals in 8 passes Sun Sep 16 17:17:38 2018 max relations containing the same ideal: 196 Sun Sep 16 17:20:12 2018 removing 11591931 relations and 9591931 ideals in 2000000 cliques Sun Sep 16 17:20:18 2018 commencing in-memory singleton removal Sun Sep 16 17:20:45 2018 begin with 293343654 relations and 252889440 unique ideals Sun Sep 16 17:24:31 2018 reduce to 292974117 relations and 242925352 ideals in 8 passes Sun Sep 16 17:24:31 2018 max relations containing the same ideal: 193 Sun Sep 16 17:26:58 2018 removing 10751710 relations and 8751710 ideals in 2000000 cliques Sun Sep 16 17:27:03 2018 commencing in-memory singleton removal Sun Sep 16 17:27:30 2018 begin with 282222407 relations and 242925352 unique ideals Sun Sep 16 17:31:34 2018 reduce to 281892140 relations and 233841054 ideals in 9 passes Sun Sep 16 17:31:34 2018 max relations containing the same ideal: 190 Sun Sep 16 17:34:15 2018 removing 10185934 relations and 8185934 ideals in 2000000 cliques Sun Sep 16 17:34:20 2018 commencing in-memory singleton removal Sun Sep 16 17:34:46 2018 begin with 271706206 relations and 233841054 unique ideals Sun Sep 16 17:38:14 2018 reduce to 271397137 relations and 225343915 ideals in 8 passes Sun Sep 16 17:38:14 2018 max relations containing the same ideal: 185 Sun Sep 16 17:40:44 2018 removing 9772264 relations and 7772264 ideals in 2000000 cliques Sun Sep 16 17:40:49 2018 commencing in-memory singleton removal Sun Sep 16 17:41:14 2018 begin with 261624873 relations and 225343915 unique ideals Sun Sep 16 17:44:18 2018 reduce to 261328899 relations and 217273608 ideals in 7 passes Sun Sep 16 17:44:18 2018 max relations containing the same ideal: 180 Sun Sep 16 17:46:36 2018 removing 9462687 relations and 7462687 ideals in 2000000 cliques Sun Sep 16 17:46:41 2018 commencing in-memory singleton removal Sun Sep 16 17:47:05 2018 begin with 251866212 relations and 217273608 unique ideals Sun Sep 16 17:50:31 2018 reduce to 251578937 relations and 209521529 ideals in 8 passes Sun Sep 16 17:50:31 2018 max relations containing the same ideal: 177 Sun Sep 16 17:52:43 2018 removing 9208060 relations and 7208060 ideals in 2000000 cliques Sun Sep 16 17:52:48 2018 commencing in-memory singleton removal Sun Sep 16 17:53:10 2018 begin with 242370877 relations and 209521529 unique ideals Sun Sep 16 17:56:21 2018 reduce to 242090190 relations and 202030635 ideals in 8 passes Sun Sep 16 17:56:21 2018 max relations containing the same ideal: 172 Sun Sep 16 17:58:33 2018 removing 9011664 relations and 7011664 ideals in 2000000 cliques Sun Sep 16 17:58:37 2018 commencing in-memory singleton removal Sun Sep 16 17:58:58 2018 begin with 233078526 relations and 202030635 unique ideals Sun Sep 16 18:01:35 2018 reduce to 232799412 relations and 194737764 ideals in 7 passes Sun Sep 16 18:01:35 2018 max relations containing the same ideal: 168 Sun Sep 16 18:03:51 2018 removing 8846241 relations and 6846241 ideals in 2000000 cliques Sun Sep 16 18:03:56 2018 commencing in-memory singleton removal Sun Sep 16 18:04:17 2018 begin with 223953171 relations and 194737764 unique ideals Sun Sep 16 18:07:17 2018 reduce to 223675949 relations and 187612103 ideals in 8 passes Sun Sep 16 18:07:17 2018 max relations containing the same ideal: 164 Sun Sep 16 18:09:15 2018 removing 8714168 relations and 6714168 ideals in 2000000 cliques Sun Sep 16 18:09:20 2018 commencing in-memory singleton removal Sun Sep 16 18:09:39 2018 begin with 214961781 relations and 187612103 unique ideals Sun Sep 16 18:12:14 2018 reduce to 214682559 relations and 180616389 ideals in 7 passes Sun Sep 16 18:12:14 2018 max relations containing the same ideal: 159 Sun Sep 16 18:14:04 2018 removing 8604888 relations and 6604888 ideals in 2000000 cliques Sun Sep 16 18:14:08 2018 commencing in-memory singleton removal Sun Sep 16 18:14:26 2018 begin with 206077671 relations and 180616389 unique ideals Sun Sep 16 18:16:41 2018 reduce to 205795752 relations and 173727167 ideals in 7 passes Sun Sep 16 18:16:41 2018 max relations containing the same ideal: 156 Sun Sep 16 18:18:26 2018 removing 8510525 relations and 6510525 ideals in 2000000 cliques Sun Sep 16 18:18:30 2018 commencing in-memory singleton removal Sun Sep 16 18:18:49 2018 begin with 197285227 relations and 173727167 unique ideals Sun Sep 16 18:20:59 2018 reduce to 196997824 relations and 166926700 ideals in 7 passes Sun Sep 16 18:20:59 2018 max relations containing the same ideal: 151 Sun Sep 16 18:22:53 2018 removing 8444599 relations and 6444599 ideals in 2000000 cliques Sun Sep 16 18:22:59 2018 commencing in-memory singleton removal Sun Sep 16 18:23:17 2018 begin with 188553225 relations and 166926700 unique ideals Sun Sep 16 18:25:27 2018 reduce to 188260432 relations and 160186563 ideals in 7 passes Sun Sep 16 18:25:27 2018 max relations containing the same ideal: 146 Sun Sep 16 18:27:07 2018 removing 8384362 relations and 6384362 ideals in 2000000 cliques Sun Sep 16 18:27:11 2018 commencing in-memory singleton removal Sun Sep 16 18:27:28 2018 begin with 179876070 relations and 160186563 unique ideals Sun Sep 16 18:30:19 2018 reduce to 179577233 relations and 153500480 ideals in 10 passes Sun Sep 16 18:30:19 2018 max relations containing the same ideal: 144 Sun Sep 16 18:31:53 2018 removing 8341685 relations and 6341685 ideals in 2000000 cliques Sun Sep 16 18:31:57 2018 commencing in-memory singleton removal Sun Sep 16 18:32:13 2018 begin with 171235548 relations and 153500480 unique ideals Sun Sep 16 18:34:30 2018 reduce to 170924127 relations and 146844266 ideals in 8 passes Sun Sep 16 18:34:30 2018 max relations containing the same ideal: 141 Sun Sep 16 18:36:03 2018 removing 8310086 relations and 6310086 ideals in 2000000 cliques Sun Sep 16 18:36:07 2018 commencing in-memory singleton removal Sun Sep 16 18:36:22 2018 begin with 162614041 relations and 146844266 unique ideals Sun Sep 16 18:38:11 2018 reduce to 162292574 relations and 140209260 ideals in 7 passes Sun Sep 16 18:38:11 2018 max relations containing the same ideal: 135 Sun Sep 16 18:39:36 2018 removing 8290244 relations and 6290244 ideals in 2000000 cliques Sun Sep 16 18:39:39 2018 commencing in-memory singleton removal Sun Sep 16 18:39:53 2018 begin with 154002330 relations and 140209260 unique ideals Sun Sep 16 18:41:32 2018 reduce to 153664445 relations and 133577322 ideals in 7 passes Sun Sep 16 18:41:32 2018 max relations containing the same ideal: 131 Sun Sep 16 18:42:52 2018 removing 8281968 relations and 6281968 ideals in 2000000 cliques Sun Sep 16 18:42:56 2018 commencing in-memory singleton removal Sun Sep 16 18:43:09 2018 begin with 145382477 relations and 133577322 unique ideals Sun Sep 16 18:44:53 2018 reduce to 145028791 relations and 126937586 ideals in 7 passes Sun Sep 16 18:44:53 2018 max relations containing the same ideal: 126 Sun Sep 16 18:46:11 2018 removing 8281921 relations and 6281921 ideals in 2000000 cliques Sun Sep 16 18:46:14 2018 commencing in-memory singleton removal Sun Sep 16 18:46:26 2018 begin with 136746870 relations and 126937586 unique ideals Sun Sep 16 18:47:59 2018 reduce to 136374499 relations and 120278863 ideals in 7 passes Sun Sep 16 18:47:59 2018 max relations containing the same ideal: 119 Sun Sep 16 18:49:12 2018 removing 8289383 relations and 6289383 ideals in 2000000 cliques Sun Sep 16 18:49:16 2018 commencing in-memory singleton removal Sun Sep 16 18:49:27 2018 begin with 128085116 relations and 120278863 unique ideals Sun Sep 16 18:50:49 2018 reduce to 127689857 relations and 113589168 ideals in 7 passes Sun Sep 16 18:50:49 2018 max relations containing the same ideal: 113 Sun Sep 16 18:52:12 2018 removing 8319552 relations and 6319552 ideals in 2000000 cliques Sun Sep 16 18:52:17 2018 commencing in-memory singleton removal Sun Sep 16 18:52:28 2018 begin with 119370305 relations and 113589168 unique ideals Sun Sep 16 18:53:42 2018 reduce to 118948967 relations and 106842607 ideals in 7 passes Sun Sep 16 18:53:42 2018 max relations containing the same ideal: 110 Sun Sep 16 18:54:46 2018 removing 8349154 relations and 6349154 ideals in 2000000 cliques Sun Sep 16 18:54:49 2018 commencing in-memory singleton removal Sun Sep 16 18:54:59 2018 begin with 110599813 relations and 106842607 unique ideals Sun Sep 16 18:56:20 2018 reduce to 110144554 relations and 100031650 ideals in 8 passes Sun Sep 16 18:56:20 2018 max relations containing the same ideal: 101 Sun Sep 16 18:57:18 2018 removing 8392966 relations and 6392966 ideals in 2000000 cliques Sun Sep 16 18:57:21 2018 commencing in-memory singleton removal Sun Sep 16 18:57:29 2018 begin with 101751588 relations and 100031650 unique ideals Sun Sep 16 18:58:33 2018 reduce to 101255884 relations and 93135186 ideals in 7 passes Sun Sep 16 18:58:33 2018 max relations containing the same ideal: 97 Sun Sep 16 18:59:27 2018 removing 8450372 relations and 6450372 ideals in 2000000 cliques Sun Sep 16 18:59:30 2018 commencing in-memory singleton removal Sun Sep 16 18:59:39 2018 begin with 92805512 relations and 93135186 unique ideals Sun Sep 16 19:00:44 2018 reduce to 92257694 relations and 86127848 ideals in 8 passes Sun Sep 16 19:00:44 2018 max relations containing the same ideal: 92 Sun Sep 16 19:01:33 2018 removing 8525008 relations and 6525008 ideals in 2000000 cliques Sun Sep 16 19:01:36 2018 commencing in-memory singleton removal Sun Sep 16 19:01:43 2018 begin with 83732686 relations and 86127848 unique ideals Sun Sep 16 19:02:46 2018 reduce to 83124252 relations and 78983209 ideals in 8 passes Sun Sep 16 19:02:46 2018 max relations containing the same ideal: 85 Sun Sep 16 19:03:56 2018 removing 8618608 relations and 6618608 ideals in 2000000 cliques Sun Sep 16 19:03:59 2018 commencing in-memory singleton removal Sun Sep 16 19:04:07 2018 begin with 74505644 relations and 78983209 unique ideals Sun Sep 16 19:05:08 2018 reduce to 73808973 relations and 71653759 ideals in 8 passes Sun Sep 16 19:05:08 2018 max relations containing the same ideal: 79 Sun Sep 16 19:05:57 2018 removing 1818931 relations and 1530979 ideals in 287952 cliques Sun Sep 16 19:05:59 2018 commencing in-memory singleton removal Sun Sep 16 19:06:06 2018 begin with 71990042 relations and 71653759 unique ideals Sun Sep 16 19:06:57 2018 reduce to 71959939 relations and 70092565 ideals in 7 passes Sun Sep 16 19:06:57 2018 max relations containing the same ideal: 78 Sun Sep 16 19:07:54 2018 relations with 0 large ideals: 61389 Sun Sep 16 19:07:54 2018 relations with 1 large ideals: 44845 Sun Sep 16 19:07:54 2018 relations with 2 large ideals: 567831 Sun Sep 16 19:07:54 2018 relations with 3 large ideals: 3225491 Sun Sep 16 19:07:54 2018 relations with 4 large ideals: 9772160 Sun Sep 16 19:07:54 2018 relations with 5 large ideals: 17477437 Sun Sep 16 19:07:54 2018 relations with 6 large ideals: 19294822 Sun Sep 16 19:07:54 2018 relations with 7+ large ideals: 21515964 Sun Sep 16 19:07:54 2018 commencing 2-way merge Sun Sep 16 19:08:53 2018 reduce to 43322261 relation sets and 41454886 unique ideals Sun Sep 16 19:08:53 2018 commencing full merge Sun Sep 16 19:52:34 2018 memory use: 1932.8 MB Sun Sep 16 19:52:34 2018 found 236354 cycles, need 9576908 Sun Sep 16 19:52:34 2018 too few cycles, matrix probably cannot build Sun Sep 16 20:38:23 2018 Sun Sep 16 20:38:23 2018 Sun Sep 16 20:38:23 2018 Msieve v. 1.52 (SVN unknown) Sun Sep 16 20:38:23 2018 random seeds: 465773df 1f6c1c7c Sun Sep 16 20:38:23 2018 factoring 28233346360797706582983532896286346122910620488805239739699415872705646036968439590028785884686926143888123830264104162865700377302657700507385396484495331232213130614697834588893130602308219209175534681786484489314449 (218 digits) Sun Sep 16 20:38:24 2018 no P-1/P+1/ECM available, skipping Sun Sep 16 20:38:24 2018 commencing number field sieve (218-digit input) Sun Sep 16 20:38:24 2018 R0: 11150372599265311570767859136324180752990208 Sun Sep 16 20:38:24 2018 R1: -1 Sun Sep 16 20:38:24 2018 A0: -2 Sun Sep 16 20:38:24 2018 A1: 0 Sun Sep 16 20:38:24 2018 A2: 0 Sun Sep 16 20:38:24 2018 A3: 0 Sun Sep 16 20:38:24 2018 A4: 0 Sun Sep 16 20:38:24 2018 A5: 0 Sun Sep 16 20:38:24 2018 A6: 13 Sun Sep 16 20:38:24 2018 skew 0.73, size 1.014e-12, alpha 0.936, combined = 1.157e-13 rroots = 2 Sun Sep 16 20:38:24 2018 Sun Sep 16 20:38:24 2018 commencing relation filtering Sun Sep 16 20:38:24 2018 setting target matrix density to 120.0 Sun Sep 16 20:38:24 2018 estimated available RAM is 64346.2 MB Sun Sep 16 20:38:24 2018 commencing duplicate removal, pass 1 Sun Sep 16 21:36:45 2018 error -1 reading relation 233353991 .... Sun Sep 16 22:42:08 2018 error -15 reading relation 609093952 Sun Sep 16 22:44:56 2018 skipped 787 relations with b > 2^32 Sun Sep 16 22:44:56 2018 found 76425323 hash collisions in 628539600 relations Sun Sep 16 22:45:09 2018 commencing duplicate removal, pass 2 Sun Sep 16 23:11:09 2018 found 0 duplicates and 628539600 unique relations Sun Sep 16 23:11:09 2018 memory use: 2387.0 MB Sun Sep 16 23:11:10 2018 reading ideals above 244252672 Sun Sep 16 23:11:10 2018 commencing singleton removal, initial pass Mon Sep 17 01:31:43 2018 memory use: 11024.0 MB Mon Sep 17 01:31:43 2018 reading all ideals from disk Mon Sep 17 01:36:24 2018 memory use: 11887.1 MB Mon Sep 17 01:37:25 2018 commencing in-memory singleton removal Mon Sep 17 01:38:13 2018 begin with 628539600 relations and 586124126 unique ideals Mon Sep 17 01:45:15 2018 reduce to 337058292 relations and 255868973 ideals in 17 passes Mon Sep 17 01:45:15 2018 max relations containing the same ideal: 31 Mon Sep 17 01:45:43 2018 reading ideals above 720000 Mon Sep 17 01:45:44 2018 commencing singleton removal, initial pass Mon Sep 17 02:47:29 2018 memory use: 6024.0 MB Mon Sep 17 02:47:29 2018 reading all ideals from disk Mon Sep 17 02:52:47 2018 memory use: 13656.3 MB Mon Sep 17 02:53:44 2018 keeping 281022161 ideals with weight <= 200, target excess is 1609708 Mon Sep 17 02:54:58 2018 commencing in-memory singleton removal Mon Sep 17 02:55:43 2018 begin with 337058292 relations and 281022161 unique ideals Mon Sep 17 02:59:24 2018 reduce to 337057730 relations and 281021599 ideals in 5 passes Mon Sep 17 02:59:24 2018 max relations containing the same ideal: 200 Mon Sep 17 03:03:25 2018 removing 17823297 relations and 15823297 ideals in 2000000 cliques Mon Sep 17 03:03:35 2018 commencing in-memory singleton removal Mon Sep 17 03:04:13 2018 begin with 319234433 relations and 281021599 unique ideals Mon Sep 17 03:09:47 2018 reduce to 318483036 relations and 264440154 ideals in 9 passes Mon Sep 17 03:09:47 2018 max relations containing the same ideal: 199 Mon Sep 17 03:13:01 2018 removing 13097166 relations and 11097166 ideals in 2000000 cliques Mon Sep 17 03:13:08 2018 commencing in-memory singleton removal Mon Sep 17 03:13:42 2018 begin with 305385870 relations and 264440154 unique ideals Mon Sep 17 03:18:23 2018 reduce to 304935585 relations and 252889440 ideals in 8 passes Mon Sep 17 03:18:23 2018 max relations containing the same ideal: 196 Mon Sep 17 03:21:29 2018 removing 11591931 relations and 9591931 ideals in 2000000 cliques Mon Sep 17 03:21:35 2018 commencing in-memory singleton removal Mon Sep 17 03:22:09 2018 begin with 293343654 relations and 252889440 unique ideals Mon Sep 17 03:26:32 2018 reduce to 292974117 relations and 242925352 ideals in 8 passes Mon Sep 17 03:26:32 2018 max relations containing the same ideal: 193 Mon Sep 17 03:29:29 2018 removing 10751710 relations and 8751710 ideals in 2000000 cliques Mon Sep 17 03:29:35 2018 commencing in-memory singleton removal Mon Sep 17 03:30:06 2018 begin with 282222407 relations and 242925352 unique ideals Mon Sep 17 03:34:55 2018 reduce to 281892140 relations and 233841054 ideals in 9 passes Mon Sep 17 03:34:55 2018 max relations containing the same ideal: 190 Mon Sep 17 03:37:47 2018 removing 10185934 relations and 8185934 ideals in 2000000 cliques Mon Sep 17 03:37:53 2018 commencing in-memory singleton removal Mon Sep 17 03:38:23 2018 begin with 271706206 relations and 233841054 unique ideals Mon Sep 17 03:42:31 2018 reduce to 271397137 relations and 225343915 ideals in 8 passes Mon Sep 17 03:42:31 2018 max relations containing the same ideal: 185 Mon Sep 17 03:45:13 2018 removing 9772264 relations and 7772264 ideals in 2000000 cliques Mon Sep 17 03:45:19 2018 commencing in-memory singleton removal Mon Sep 17 03:45:47 2018 begin with 261624873 relations and 225343915 unique ideals Mon Sep 17 03:49:09 2018 reduce to 261328899 relations and 217273608 ideals in 7 passes Mon Sep 17 03:49:09 2018 max relations containing the same ideal: 180 Mon Sep 17 03:51:45 2018 removing 9462687 relations and 7462687 ideals in 2000000 cliques Mon Sep 17 03:51:51 2018 commencing in-memory singleton removal Mon Sep 17 03:52:18 2018 begin with 251866212 relations and 217273608 unique ideals Mon Sep 17 03:55:59 2018 reduce to 251578937 relations and 209521529 ideals in 8 passes Mon Sep 17 03:55:59 2018 max relations containing the same ideal: 177 Mon Sep 17 03:58:30 2018 removing 9208060 relations and 7208060 ideals in 2000000 cliques Mon Sep 17 03:58:35 2018 commencing in-memory singleton removal Mon Sep 17 03:59:01 2018 begin with 242370877 relations and 209521529 unique ideals Mon Sep 17 04:02:32 2018 reduce to 242090190 relations and 202030635 ideals in 8 passes Mon Sep 17 04:02:32 2018 max relations containing the same ideal: 172 Mon Sep 17 04:04:58 2018 removing 9011664 relations and 7011664 ideals in 2000000 cliques Mon Sep 17 04:05:03 2018 commencing in-memory singleton removal Mon Sep 17 04:05:28 2018 begin with 233078526 relations and 202030635 unique ideals Mon Sep 17 04:08:26 2018 reduce to 232799412 relations and 194737764 ideals in 7 passes Mon Sep 17 04:08:26 2018 max relations containing the same ideal: 168 Mon Sep 17 04:10:48 2018 removing 8846241 relations and 6846241 ideals in 2000000 cliques Mon Sep 17 04:10:53 2018 commencing in-memory singleton removal Mon Sep 17 04:11:17 2018 begin with 223953171 relations and 194737764 unique ideals Mon Sep 17 04:14:32 2018 reduce to 223675949 relations and 187612103 ideals in 8 passes Mon Sep 17 04:14:32 2018 max relations containing the same ideal: 164 Mon Sep 17 04:16:47 2018 removing 8714168 relations and 6714168 ideals in 2000000 cliques Mon Sep 17 04:16:52 2018 commencing in-memory singleton removal Mon Sep 17 04:17:14 2018 begin with 214961781 relations and 187612103 unique ideals Mon Sep 17 04:19:56 2018 reduce to 214682559 relations and 180616389 ideals in 7 passes Mon Sep 17 04:19:56 2018 max relations containing the same ideal: 159 Mon Sep 17 04:22:06 2018 removing 8604888 relations and 6604888 ideals in 2000000 cliques Mon Sep 17 04:22:11 2018 commencing in-memory singleton removal Mon Sep 17 04:22:32 2018 begin with 206077671 relations and 180616389 unique ideals Mon Sep 17 04:25:10 2018 reduce to 205795752 relations and 173727167 ideals in 7 passes Mon Sep 17 04:25:10 2018 max relations containing the same ideal: 156 Mon Sep 17 04:27:15 2018 removing 8510525 relations and 6510525 ideals in 2000000 cliques Mon Sep 17 04:27:20 2018 commencing in-memory singleton removal Mon Sep 17 04:27:40 2018 begin with 197285227 relations and 173727167 unique ideals Mon Sep 17 04:30:07 2018 reduce to 196997824 relations and 166926700 ideals in 7 passes Mon Sep 17 04:30:07 2018 max relations containing the same ideal: 151 Mon Sep 17 04:32:07 2018 removing 8444599 relations and 6444599 ideals in 2000000 cliques Mon Sep 17 04:32:11 2018 commencing in-memory singleton removal Mon Sep 17 04:32:31 2018 begin with 188553225 relations and 166926700 unique ideals Mon Sep 17 04:34:51 2018 reduce to 188260432 relations and 160186563 ideals in 7 passes Mon Sep 17 04:34:51 2018 max relations containing the same ideal: 146 Mon Sep 17 04:36:47 2018 removing 8384362 relations and 6384362 ideals in 2000000 cliques Mon Sep 17 04:36:51 2018 commencing in-memory singleton removal Mon Sep 17 04:37:10 2018 begin with 179876070 relations and 160186563 unique ideals Mon Sep 17 04:40:21 2018 reduce to 179577233 relations and 153500480 ideals in 10 passes Mon Sep 17 04:40:21 2018 max relations containing the same ideal: 144 Mon Sep 17 04:42:11 2018 removing 8341685 relations and 6341685 ideals in 2000000 cliques Mon Sep 17 04:42:15 2018 commencing in-memory singleton removal Mon Sep 17 04:42:33 2018 begin with 171235548 relations and 153500480 unique ideals Mon Sep 17 04:44:59 2018 reduce to 170924127 relations and 146844266 ideals in 8 passes Mon Sep 17 04:44:59 2018 max relations containing the same ideal: 141 Mon Sep 17 04:46:46 2018 removing 8310086 relations and 6310086 ideals in 2000000 cliques Mon Sep 17 04:46:51 2018 commencing in-memory singleton removal Mon Sep 17 04:47:07 2018 begin with 162614041 relations and 146844266 unique ideals Mon Sep 17 04:49:09 2018 reduce to 162292574 relations and 140209260 ideals in 7 passes Mon Sep 17 04:49:09 2018 max relations containing the same ideal: 135 Mon Sep 17 04:50:50 2018 removing 8290244 relations and 6290244 ideals in 2000000 cliques Mon Sep 17 04:50:54 2018 commencing in-memory singleton removal Mon Sep 17 04:51:10 2018 begin with 154002330 relations and 140209260 unique ideals Mon Sep 17 04:53:03 2018 reduce to 153664445 relations and 133577322 ideals in 7 passes Mon Sep 17 04:53:03 2018 max relations containing the same ideal: 131 Mon Sep 17 04:54:39 2018 removing 8281968 relations and 6281968 ideals in 2000000 cliques Mon Sep 17 04:54:42 2018 commencing in-memory singleton removal Mon Sep 17 04:54:57 2018 begin with 145382477 relations and 133577322 unique ideals Mon Sep 17 04:56:45 2018 reduce to 145028791 relations and 126937586 ideals in 7 passes Mon Sep 17 04:56:45 2018 max relations containing the same ideal: 126 Mon Sep 17 04:58:16 2018 removing 8281921 relations and 6281921 ideals in 2000000 cliques Mon Sep 17 04:58:19 2018 commencing in-memory singleton removal Mon Sep 17 04:58:34 2018 begin with 136746870 relations and 126937586 unique ideals Mon Sep 17 05:00:20 2018 reduce to 136374499 relations and 120278863 ideals in 7 passes Mon Sep 17 05:00:20 2018 max relations containing the same ideal: 119 Mon Sep 17 05:01:45 2018 removing 8289383 relations and 6289383 ideals in 2000000 cliques Mon Sep 17 05:01:49 2018 commencing in-memory singleton removal Mon Sep 17 05:02:02 2018 begin with 128085116 relations and 120278863 unique ideals Mon Sep 17 05:03:34 2018 reduce to 127689857 relations and 113589168 ideals in 7 passes Mon Sep 17 05:03:34 2018 max relations containing the same ideal: 113 Mon Sep 17 05:04:53 2018 removing 8319552 relations and 6319552 ideals in 2000000 cliques Mon Sep 17 05:04:57 2018 commencing in-memory singleton removal Mon Sep 17 05:05:09 2018 begin with 119370305 relations and 113589168 unique ideals Mon Sep 17 05:06:34 2018 reduce to 118948967 relations and 106842607 ideals in 7 passes Mon Sep 17 05:06:34 2018 max relations containing the same ideal: 110 Mon Sep 17 05:07:48 2018 removing 8349154 relations and 6349154 ideals in 2000000 cliques Mon Sep 17 05:07:52 2018 commencing in-memory singleton removal Mon Sep 17 05:08:04 2018 begin with 110599813 relations and 106842607 unique ideals Mon Sep 17 05:09:36 2018 reduce to 110144554 relations and 100031650 ideals in 8 passes Mon Sep 17 05:09:36 2018 max relations containing the same ideal: 101 Mon Sep 17 05:10:44 2018 removing 8392966 relations and 6392966 ideals in 2000000 cliques Mon Sep 17 05:10:48 2018 commencing in-memory singleton removal Mon Sep 17 05:10:58 2018 begin with 101751588 relations and 100031650 unique ideals Mon Sep 17 05:12:11 2018 reduce to 101255884 relations and 93135186 ideals in 7 passes Mon Sep 17 05:12:11 2018 max relations containing the same ideal: 97 Mon Sep 17 05:13:14 2018 removing 8450372 relations and 6450372 ideals in 2000000 cliques Mon Sep 17 05:13:17 2018 commencing in-memory singleton removal Mon Sep 17 05:13:26 2018 begin with 92805512 relations and 93135186 unique ideals Mon Sep 17 05:14:41 2018 reduce to 92257694 relations and 86127848 ideals in 8 passes Mon Sep 17 05:14:41 2018 max relations containing the same ideal: 92 Mon Sep 17 05:15:39 2018 removing 8525008 relations and 6525008 ideals in 2000000 cliques Mon Sep 17 05:15:42 2018 commencing in-memory singleton removal Mon Sep 17 05:15:50 2018 begin with 83732686 relations and 86127848 unique ideals Mon Sep 17 05:16:59 2018 reduce to 83124252 relations and 78983209 ideals in 8 passes Mon Sep 17 05:16:59 2018 max relations containing the same ideal: 85 Mon Sep 17 05:17:51 2018 removing 8618608 relations and 6618608 ideals in 2000000 cliques Mon Sep 17 05:17:54 2018 commencing in-memory singleton removal Mon Sep 17 05:18:01 2018 begin with 74505644 relations and 78983209 unique ideals Mon Sep 17 05:19:00 2018 reduce to 73808973 relations and 71653759 ideals in 8 passes Mon Sep 17 05:19:00 2018 max relations containing the same ideal: 79 Mon Sep 17 05:19:47 2018 removing 1818931 relations and 1530979 ideals in 287952 cliques Mon Sep 17 05:19:49 2018 commencing in-memory singleton removal Mon Sep 17 05:19:56 2018 begin with 71990042 relations and 71653759 unique ideals Mon Sep 17 05:20:47 2018 reduce to 71959939 relations and 70092565 ideals in 7 passes Mon Sep 17 05:20:47 2018 max relations containing the same ideal: 78 Mon Sep 17 05:21:43 2018 relations with 0 large ideals: 61389 Mon Sep 17 05:21:43 2018 relations with 1 large ideals: 44845 Mon Sep 17 05:21:43 2018 relations with 2 large ideals: 567831 Mon Sep 17 05:21:43 2018 relations with 3 large ideals: 3225491 Mon Sep 17 05:21:43 2018 relations with 4 large ideals: 9772160 Mon Sep 17 05:21:43 2018 relations with 5 large ideals: 17477437 Mon Sep 17 05:21:43 2018 relations with 6 large ideals: 19294822 Mon Sep 17 05:21:43 2018 relations with 7+ large ideals: 21515964 Mon Sep 17 05:21:43 2018 commencing 2-way merge Mon Sep 17 05:22:39 2018 reduce to 43322261 relation sets and 41454886 unique ideals Mon Sep 17 05:22:39 2018 commencing full merge Mon Sep 17 05:43:13 2018 memory use: 5349.9 MB Mon Sep 17 05:43:18 2018 found 19402243 cycles, need 19327086 Mon Sep 17 05:43:26 2018 weight of 19327086 cycles is about 2319660233 (120.02/cycle) Mon Sep 17 05:43:26 2018 distribution of cycle lengths: Mon Sep 17 05:43:26 2018 1 relations: 1216376 Mon Sep 17 05:43:26 2018 2 relations: 1330575 Mon Sep 17 05:43:26 2018 3 relations: 1374979 Mon Sep 17 05:43:26 2018 4 relations: 1343975 Mon Sep 17 05:43:26 2018 5 relations: 1327297 Mon Sep 17 05:43:26 2018 6 relations: 1275458 Mon Sep 17 05:43:26 2018 7 relations: 1244059 Mon Sep 17 05:43:26 2018 8 relations: 1182477 Mon Sep 17 05:43:26 2018 9 relations: 1129688 Mon Sep 17 05:43:26 2018 10+ relations: 7902202 Mon Sep 17 05:43:26 2018 heaviest cycle: 28 relations Mon Sep 17 05:43:32 2018 commencing cycle optimization Mon Sep 17 05:44:15 2018 start with 172909912 relations Mon Sep 17 05:52:08 2018 pruned 6626500 relations Mon Sep 17 05:52:08 2018 memory use: 4725.5 MB Mon Sep 17 05:52:08 2018 distribution of cycle lengths: Mon Sep 17 05:52:08 2018 1 relations: 1216376 Mon Sep 17 05:52:08 2018 2 relations: 1358705 Mon Sep 17 05:52:08 2018 3 relations: 1423914 Mon Sep 17 05:52:08 2018 4 relations: 1388487 Mon Sep 17 05:52:08 2018 5 relations: 1379251 Mon Sep 17 05:52:08 2018 6 relations: 1323928 Mon Sep 17 05:52:08 2018 7 relations: 1293518 Mon Sep 17 05:52:08 2018 8 relations: 1227343 Mon Sep 17 05:52:08 2018 9 relations: 1171779 Mon Sep 17 05:52:08 2018 10+ relations: 7543785 Mon Sep 17 05:52:08 2018 heaviest cycle: 28 relations Mon Sep 17 05:52:56 2018 RelProcTime: 33272 Mon Sep 17 05:52:56 2018 elapsed time 09:14:33 Mon Sep 17 08:28:45 2018 Mon Sep 17 08:28:45 2018 Mon Sep 17 08:28:45 2018 Msieve v. 1.52 (SVN unknown) Mon Sep 17 08:28:45 2018 random seeds: e350a4d9 9229ec9b Mon Sep 17 08:28:45 2018 factoring 28233346360797706582983532896286346122910620488805239739699415872705646036968439590028785884686926143888123830264104162865700377302657700507385396484495331232213130614697834588893130602308219209175534681786484489314449 (218 digits) Mon Sep 17 08:28:47 2018 no P-1/P+1/ECM available, skipping Mon Sep 17 08:28:47 2018 commencing number field sieve (218-digit input) Mon Sep 17 08:28:47 2018 R0: 11150372599265311570767859136324180752990208 Mon Sep 17 08:28:47 2018 R1: -1 Mon Sep 17 08:28:47 2018 A0: -2 Mon Sep 17 08:28:47 2018 A1: 0 Mon Sep 17 08:28:47 2018 A2: 0 Mon Sep 17 08:28:47 2018 A3: 0 Mon Sep 17 08:28:47 2018 A4: 0 Mon Sep 17 08:28:47 2018 A5: 0 Mon Sep 17 08:28:47 2018 A6: 13 Mon Sep 17 08:28:47 2018 skew 0.73, size 1.014e-12, alpha 0.936, combined = 1.157e-13 rroots = 2 Mon Sep 17 08:28:47 2018 Mon Sep 17 08:28:47 2018 commencing linear algebra Mon Sep 17 08:28:50 2018 read 19327086 cycles Mon Sep 17 08:29:56 2018 cycles contain 70807831 unique relations Mon Sep 17 08:58:53 2018 read 70807831 relations Mon Sep 17 09:02:15 2018 using 20 quadratic characters above 4294917296 Mon Sep 17 09:08:41 2018 building initial matrix Mon Sep 17 09:32:02 2018 memory use: 8768.1 MB Mon Sep 17 09:36:28 2018 read 19327086 cycles Mon Sep 17 09:36:33 2018 matrix is 19326908 x 19327086 (9132.9 MB) with weight 2627973509 (135.97/col) Mon Sep 17 09:36:33 2018 sparse part has weight 2181541714 (112.87/col) Mon Sep 17 09:44:03 2018 filtering completed in 2 passes Mon Sep 17 09:44:09 2018 matrix is 19326142 x 19326320 (9132.9 MB) with weight 2627946460 (135.98/col) Mon Sep 17 09:44:09 2018 sparse part has weight 2181532659 (112.88/col) Mon Sep 17 09:51:23 2018 matrix starts at (0, 0) Mon Sep 17 09:51:27 2018 matrix is 19326142 x 19326320 (9132.9 MB) with weight 2627946460 (135.98/col) Mon Sep 17 09:51:27 2018 sparse part has weight 2181532659 (112.88/col) Mon Sep 17 09:51:27 2018 saving the first 48 matrix rows for later Mon Sep 17 09:51:33 2018 matrix includes 64 packed rows Mon Sep 17 09:51:37 2018 matrix is 19326094 x 19326320 (8806.9 MB) with weight 2258238399 (116.85/col) Mon Sep 17 09:51:37 2018 sparse part has weight 2115405152 (109.46/col) Mon Sep 17 09:51:37 2018 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB Mon Sep 17 09:54:44 2018 commencing Lanczos iteration (10 threads) Mon Sep 17 09:54:44 2018 memory use: 7550.9 MB Mon Sep 17 09:56:59 2018 linear algebra at 0.0%, ETA 456h28m Mon Sep 17 09:57:42 2018 checkpointing every 50000 dimensions Mon Sep 24 05:12:54 2018 lanczos halted after 305621 iterations (dim = 19326094) Mon Sep 24 05:13:10 2018 recovered 38 nontrivial dependencies Mon Sep 24 05:13:11 2018 BLanczosTime: 593064 Mon Sep 24 05:13:11 2018 Mon Sep 24 05:13:11 2018 commencing square root phase Mon Sep 24 05:13:11 2018 reading relations for dependency 1 Mon Sep 24 05:13:26 2018 read 9665278 cycles Mon Sep 24 05:13:46 2018 cycles contain 35408564 unique relations Mon Sep 24 05:29:15 2018 read 35408564 relations Mon Sep 24 05:31:49 2018 multiplying 35408564 relations Mon Sep 24 05:57:12 2018 multiply complete, coefficients have about 1015.34 million bits Mon Sep 24 05:57:15 2018 initial square root is modulo 1285554679 Mon Sep 24 06:24:23 2018 sqrtTime: 4272 Mon Sep 24 06:24:23 2018 prp73 factor: 1323325540370797419780176049016552908376798824231658432952332784256369317 Mon Sep 24 06:24:23 2018 prp146 factor: 21335148079199535984613707246654491339568543701311085205444599362153479371747598771643060639032169640987360409488438515174269784187513604489027197 Mon Sep 24 06:24:23 2018 elapsed time 165:55:38