Sun Sep 06 09:33:50 2020 Sun Sep 06 09:33:50 2020 Sun Sep 06 09:33:50 2020 Msieve v. 1.53 (SVN 1005) Sun Sep 06 09:33:50 2020 random seeds: 0f8a5718 0d393d49 Sun Sep 06 09:33:50 2020 factoring 30095299175077403548045998888499589746987705915701236321455228679546363516064178374571700801510444165628613317596485938620376015936537760979050393355294532376789572636274339989243637798508357507839862196929407 (209 digits) Sun Sep 06 09:33:51 2020 searching for 15-digit factors Sun Sep 06 09:33:51 2020 commencing number field sieve (209-digit input) Sun Sep 06 09:33:51 2020 R0: 55771927914216157920817288677473813 Sun Sep 06 09:33:51 2020 R1: -1 Sun Sep 06 09:33:51 2020 A0: -1 Sun Sep 06 09:33:51 2020 A1: 0 Sun Sep 06 09:33:51 2020 A2: 0 Sun Sep 06 09:33:51 2020 A3: 0 Sun Sep 06 09:33:51 2020 A4: 0 Sun Sep 06 09:33:51 2020 A5: 0 Sun Sep 06 09:33:51 2020 A6: 91997 Sun Sep 06 09:33:51 2020 skew 0.15, size 5.842e-011, alpha 0.978, combined = 2.295e-012 rroots = 2 Sun Sep 06 09:33:51 2020 Sun Sep 06 09:33:51 2020 commencing relation filtering Sun Sep 06 09:33:51 2020 setting target matrix density to 130.0 Sun Sep 06 09:33:51 2020 estimated available RAM is 16141.3 MB Sun Sep 06 09:33:51 2020 commencing duplicate removal, pass 1 Sun Sep 06 09:34:30 2020 error -9 reading relation 5955181 Sun Sep 06 09:34:41 2020 error -1 reading relation 7557847 Sun Sep 06 09:35:16 2020 error -9 reading relation 12916213 Sun Sep 06 09:36:35 2020 error -15 reading relation 24851275 Sun Sep 06 09:37:11 2020 error -9 reading relation 30386627 Sun Sep 06 09:37:21 2020 error -9 reading relation 31860719 Sun Sep 06 09:37:26 2020 error -9 reading relation 32638352 Sun Sep 06 09:37:28 2020 error -9 reading relation 32919056 Sun Sep 06 09:37:35 2020 error -9 reading relation 33960079 Sun Sep 06 09:37:39 2020 error -9 reading relation 34529762 Sun Sep 06 09:37:42 2020 error -9 reading relation 35079844 Sun Sep 06 09:37:50 2020 error -9 reading relation 36234670 Sun Sep 06 09:37:56 2020 error -5 reading relation 37146355 Sun Sep 06 09:37:56 2020 error -9 reading relation 37166603 Sun Sep 06 09:37:57 2020 error -1 reading relation 37303992 Sun Sep 06 09:38:05 2020 error -15 reading relation 38517915 Sun Sep 06 09:38:07 2020 error -1 reading relation 38815143 Sun Sep 06 09:38:08 2020 error -9 reading relation 38899726 Sun Sep 06 09:38:14 2020 error -9 reading relation 39866403 Sun Sep 06 09:38:14 2020 error -5 reading relation 39893453 Sun Sep 06 09:38:19 2020 error -15 reading relation 40530101 Sun Sep 06 09:38:20 2020 error -9 reading relation 40779034 Sun Sep 06 09:38:24 2020 error -9 reading relation 41261358 Sun Sep 06 09:38:26 2020 error -15 reading relation 41572090 Sun Sep 06 09:38:26 2020 error -15 reading relation 41692644 Sun Sep 06 09:38:27 2020 error -9 reading relation 41758172 Sun Sep 06 09:38:30 2020 error -1 reading relation 42282186 Sun Sep 06 09:38:30 2020 error -9 reading relation 42284916 Sun Sep 06 09:38:34 2020 error -15 reading relation 42898913 Sun Sep 06 09:38:36 2020 error -9 reading relation 43085984 Sun Sep 06 09:38:37 2020 error -15 reading relation 43353933 Sun Sep 06 09:38:38 2020 error -15 reading relation 43454272 Sun Sep 06 09:38:39 2020 error -9 reading relation 43560028 Sun Sep 06 09:38:39 2020 error -15 reading relation 43562460 Sun Sep 06 09:38:42 2020 error -9 reading relation 44002837 Sun Sep 06 09:38:46 2020 error -9 reading relation 44647793 Sun Sep 06 09:38:47 2020 error -9 reading relation 44764848 Sun Sep 06 09:38:47 2020 error -9 reading relation 44818792 Sun Sep 06 09:38:48 2020 error -1 reading relation 44874292 Sun Sep 06 09:38:50 2020 error -9 reading relation 45180121 Sun Sep 06 09:38:50 2020 error -9 reading relation 45196720 Sun Sep 06 09:38:50 2020 error -9 reading relation 45228926 Sun Sep 06 09:38:52 2020 error -5 reading relation 45586997 Sun Sep 06 09:38:58 2020 error -1 reading relation 46450441 Sun Sep 06 09:38:59 2020 error -1 reading relation 46587067 Sun Sep 06 09:38:59 2020 error -15 reading relation 46587640 Sun Sep 06 09:38:59 2020 error -15 reading relation 46605849 Sun Sep 06 09:39:00 2020 error -1 reading relation 46693658 Sun Sep 06 09:39:00 2020 error -1 reading relation 46762183 Sun Sep 06 09:39:04 2020 error -5 reading relation 47330406 Sun Sep 06 09:39:08 2020 error -15 reading relation 47959307 Sun Sep 06 09:39:08 2020 error -9 reading relation 47962110 Sun Sep 06 09:39:12 2020 error -1 reading relation 48615525 Sun Sep 06 09:39:14 2020 error -15 reading relation 48825266 Sun Sep 06 09:39:17 2020 error -1 reading relation 49301872 Sun Sep 06 09:39:20 2020 error -9 reading relation 49753752 Sun Sep 06 09:39:22 2020 error -15 reading relation 50103094 Sun Sep 06 09:39:22 2020 error -15 reading relation 50109076 Sun Sep 06 09:39:26 2020 error -5 reading relation 50643048 Sun Sep 06 09:39:28 2020 error -9 reading relation 50930804 Sun Sep 06 09:39:29 2020 error -9 reading relation 51138360 Sun Sep 06 09:39:34 2020 error -15 reading relation 51802285 Sun Sep 06 09:39:41 2020 error -15 reading relation 52931724 Sun Sep 06 09:39:44 2020 error -1 reading relation 53380838 Sun Sep 06 09:39:46 2020 error -15 reading relation 53653258 Sun Sep 06 09:39:48 2020 error -5 reading relation 53943143 Sun Sep 06 09:39:56 2020 error -9 reading relation 55200408 Sun Sep 06 09:40:04 2020 error -5 reading relation 56369564 Sun Sep 06 09:40:06 2020 error -9 reading relation 56543477 Sun Sep 06 09:40:11 2020 error -5 reading relation 57380889 Sun Sep 06 09:40:15 2020 error -9 reading relation 57906438 Sun Sep 06 09:40:15 2020 error -5 reading relation 58046196 Sun Sep 06 09:40:20 2020 error -9 reading relation 58656129 Sun Sep 06 09:40:20 2020 error -9 reading relation 58668283 Sun Sep 06 09:40:22 2020 error -1 reading relation 59048474 Sun Sep 06 09:40:22 2020 error -9 reading relation 59097400 Sun Sep 06 09:40:24 2020 error -15 reading relation 59306009 Sun Sep 06 09:40:29 2020 error -9 reading relation 60068933 Sun Sep 06 09:40:29 2020 error -5 reading relation 60101995 Sun Sep 06 09:40:31 2020 error -9 reading relation 60423166 Sun Sep 06 09:40:32 2020 error -15 reading relation 60449113 Sun Sep 06 09:40:33 2020 error -9 reading relation 60671369 Sun Sep 06 09:40:33 2020 error -9 reading relation 60674554 Sun Sep 06 09:40:36 2020 error -9 reading relation 61059648 Sun Sep 06 09:40:36 2020 error -9 reading relation 61083569 Sun Sep 06 09:40:36 2020 error -9 reading relation 61084472 Sun Sep 06 09:40:36 2020 error -1 reading relation 61089285 Sun Sep 06 09:40:37 2020 error -1 reading relation 61195020 Sun Sep 06 09:40:37 2020 error -15 reading relation 61197714 Sun Sep 06 09:40:37 2020 error -1 reading relation 61292994 Sun Sep 06 09:40:42 2020 skipped 31 relations with b > 2^32 Sun Sep 06 09:40:42 2020 skipped 43 relations with composite factors Sun Sep 06 09:40:42 2020 found 11350531 hash collisions in 61941242 relations Sun Sep 06 09:40:54 2020 added 1219530 free relations Sun Sep 06 09:40:54 2020 commencing duplicate removal, pass 2 Sun Sep 06 09:41:19 2020 found 10653632 duplicates and 52507140 unique relations Sun Sep 06 09:41:19 2020 memory use: 330.4 MB Sun Sep 06 09:41:19 2020 reading ideals above 720000 Sun Sep 06 09:41:19 2020 commencing singleton removal, initial pass Sun Sep 06 09:46:47 2020 memory use: 1378.0 MB Sun Sep 06 09:46:47 2020 reading all ideals from disk Sun Sep 06 09:46:48 2020 memory use: 1904.9 MB Sun Sep 06 09:46:51 2020 keeping 48269769 ideals with weight <= 200, target excess is 262890 Sun Sep 06 09:46:55 2020 commencing in-memory singleton removal Sun Sep 06 09:46:58 2020 begin with 52507140 relations and 48269769 unique ideals Sun Sep 06 09:47:27 2020 reduce to 36289930 relations and 30591387 ideals in 13 passes Sun Sep 06 09:47:27 2020 max relations containing the same ideal: 166 Sun Sep 06 09:47:39 2020 removing 4510457 relations and 3510457 ideals in 1000000 cliques Sun Sep 06 09:47:40 2020 commencing in-memory singleton removal Sun Sep 06 09:47:41 2020 begin with 31779473 relations and 30591387 unique ideals Sun Sep 06 09:47:58 2020 reduce to 31222618 relations and 26504062 ideals in 9 passes Sun Sep 06 09:47:58 2020 max relations containing the same ideal: 149 Sun Sep 06 09:48:08 2020 removing 3679800 relations and 2679800 ideals in 1000000 cliques Sun Sep 06 09:48:09 2020 commencing in-memory singleton removal Sun Sep 06 09:48:10 2020 begin with 27542818 relations and 26504062 unique ideals Sun Sep 06 09:48:23 2020 reduce to 27157852 relations and 23426488 ideals in 8 passes Sun Sep 06 09:48:23 2020 max relations containing the same ideal: 135 Sun Sep 06 09:48:31 2020 removing 3431372 relations and 2431372 ideals in 1000000 cliques Sun Sep 06 09:48:32 2020 commencing in-memory singleton removal Sun Sep 06 09:48:34 2020 begin with 23726480 relations and 23426488 unique ideals Sun Sep 06 09:48:44 2020 reduce to 23355668 relations and 20611068 ideals in 8 passes Sun Sep 06 09:48:44 2020 max relations containing the same ideal: 123 Sun Sep 06 09:48:52 2020 removing 3343066 relations and 2343066 ideals in 1000000 cliques Sun Sep 06 09:48:53 2020 commencing in-memory singleton removal Sun Sep 06 09:48:54 2020 begin with 20012602 relations and 20611068 unique ideals Sun Sep 06 09:49:02 2020 reduce to 19613099 relations and 17852930 ideals in 8 passes Sun Sep 06 09:49:02 2020 max relations containing the same ideal: 111 Sun Sep 06 09:49:09 2020 removing 3320894 relations and 2320894 ideals in 1000000 cliques Sun Sep 06 09:49:10 2020 commencing in-memory singleton removal Sun Sep 06 09:49:11 2020 begin with 16292205 relations and 17852930 unique ideals Sun Sep 06 09:49:18 2020 reduce to 15828545 relations and 15046757 ideals in 9 passes Sun Sep 06 09:49:18 2020 max relations containing the same ideal: 92 Sun Sep 06 09:49:24 2020 removing 1884166 relations and 1407331 ideals in 476835 cliques Sun Sep 06 09:49:24 2020 commencing in-memory singleton removal Sun Sep 06 09:49:25 2020 begin with 13944379 relations and 15046757 unique ideals Sun Sep 06 09:49:31 2020 reduce to 13763990 relations and 13454018 ideals in 8 passes Sun Sep 06 09:49:31 2020 max relations containing the same ideal: 84 Sun Sep 06 09:49:37 2020 relations with 0 large ideals: 9656 Sun Sep 06 09:49:37 2020 relations with 1 large ideals: 3567 Sun Sep 06 09:49:37 2020 relations with 2 large ideals: 38294 Sun Sep 06 09:49:37 2020 relations with 3 large ideals: 274554 Sun Sep 06 09:49:37 2020 relations with 4 large ideals: 1071742 Sun Sep 06 09:49:37 2020 relations with 5 large ideals: 2504847 Sun Sep 06 09:49:37 2020 relations with 6 large ideals: 3644304 Sun Sep 06 09:49:37 2020 relations with 7+ large ideals: 6217026 Sun Sep 06 09:49:37 2020 commencing 2-way merge Sun Sep 06 09:49:44 2020 reduce to 9050608 relation sets and 8740636 unique ideals Sun Sep 06 09:49:44 2020 commencing full merge Sun Sep 06 09:55:27 2020 memory use: 405.2 MB Sun Sep 06 09:55:27 2020 found 22824 cycles, need 1942090 Sun Sep 06 09:55:27 2020 too few cycles, matrix probably cannot build Sun Sep 06 09:58:28 2020 Sun Sep 06 09:58:28 2020 Sun Sep 06 09:58:28 2020 Msieve v. 1.53 (SVN 1005) Sun Sep 06 09:58:28 2020 random seeds: c65e5108 1b71f257 Sun Sep 06 09:58:28 2020 factoring 30095299175077403548045998888499589746987705915701236321455228679546363516064178374571700801510444165628613317596485938620376015936537760979050393355294532376789572636274339989243637798508357507839862196929407 (209 digits) Sun Sep 06 09:58:29 2020 searching for 15-digit factors Sun Sep 06 09:58:29 2020 commencing number field sieve (209-digit input) Sun Sep 06 09:58:29 2020 R0: 55771927914216157920817288677473813 Sun Sep 06 09:58:29 2020 R1: -1 Sun Sep 06 09:58:29 2020 A0: -1 Sun Sep 06 09:58:29 2020 A1: 0 Sun Sep 06 09:58:29 2020 A2: 0 Sun Sep 06 09:58:29 2020 A3: 0 Sun Sep 06 09:58:29 2020 A4: 0 Sun Sep 06 09:58:29 2020 A5: 0 Sun Sep 06 09:58:29 2020 A6: 91997 Sun Sep 06 09:58:29 2020 skew 0.15, size 5.842e-011, alpha 0.978, combined = 2.295e-012 rroots = 2 Sun Sep 06 09:58:29 2020 Sun Sep 06 09:58:29 2020 commencing relation filtering Sun Sep 06 09:58:29 2020 setting target matrix density to 120.0 Sun Sep 06 09:58:29 2020 estimated available RAM is 16141.3 MB Sun Sep 06 09:58:29 2020 commencing duplicate removal, pass 1 <90 errors> Sun Sep 06 10:05:32 2020 skipped 31 relations with b > 2^32 Sun Sep 06 10:05:32 2020 skipped 43 relations with composite factors Sun Sep 06 10:05:32 2020 found 11439475 hash collisions in 63160772 relations Sun Sep 06 10:05:41 2020 commencing duplicate removal, pass 2 Sun Sep 06 10:06:05 2020 found 10653632 duplicates and 52507140 unique relations Sun Sep 06 10:06:05 2020 memory use: 330.4 MB Sun Sep 06 10:06:05 2020 reading ideals above 720000 Sun Sep 06 10:06:05 2020 commencing singleton removal, initial pass Sun Sep 06 10:11:35 2020 memory use: 1378.0 MB Sun Sep 06 10:11:36 2020 reading all ideals from disk Sun Sep 06 10:11:36 2020 memory use: 1904.9 MB Sun Sep 06 10:11:40 2020 keeping 48269769 ideals with weight <= 200, target excess is 262890 Sun Sep 06 10:11:43 2020 commencing in-memory singleton removal Sun Sep 06 10:11:46 2020 begin with 52507140 relations and 48269769 unique ideals Sun Sep 06 10:12:15 2020 reduce to 36289930 relations and 30591387 ideals in 13 passes Sun Sep 06 10:12:15 2020 max relations containing the same ideal: 166 Sun Sep 06 10:12:27 2020 removing 4510457 relations and 3510457 ideals in 1000000 cliques Sun Sep 06 10:12:28 2020 commencing in-memory singleton removal Sun Sep 06 10:12:30 2020 begin with 31779473 relations and 30591387 unique ideals Sun Sep 06 10:12:46 2020 reduce to 31222618 relations and 26504062 ideals in 9 passes Sun Sep 06 10:12:46 2020 max relations containing the same ideal: 149 Sun Sep 06 10:12:56 2020 removing 3679800 relations and 2679800 ideals in 1000000 cliques Sun Sep 06 10:12:57 2020 commencing in-memory singleton removal Sun Sep 06 10:12:58 2020 begin with 27542818 relations and 26504062 unique ideals Sun Sep 06 10:13:11 2020 reduce to 27157852 relations and 23426488 ideals in 8 passes Sun Sep 06 10:13:11 2020 max relations containing the same ideal: 135 Sun Sep 06 10:13:20 2020 removing 3431372 relations and 2431372 ideals in 1000000 cliques Sun Sep 06 10:13:20 2020 commencing in-memory singleton removal Sun Sep 06 10:13:22 2020 begin with 23726480 relations and 23426488 unique ideals Sun Sep 06 10:13:32 2020 reduce to 23355668 relations and 20611068 ideals in 8 passes Sun Sep 06 10:13:32 2020 max relations containing the same ideal: 123 Sun Sep 06 10:13:40 2020 removing 3343066 relations and 2343066 ideals in 1000000 cliques Sun Sep 06 10:13:41 2020 commencing in-memory singleton removal Sun Sep 06 10:13:42 2020 begin with 20012602 relations and 20611068 unique ideals Sun Sep 06 10:13:50 2020 reduce to 19613099 relations and 17852930 ideals in 8 passes Sun Sep 06 10:13:50 2020 max relations containing the same ideal: 111 Sun Sep 06 10:13:57 2020 removing 3320894 relations and 2320894 ideals in 1000000 cliques Sun Sep 06 10:13:58 2020 commencing in-memory singleton removal Sun Sep 06 10:13:59 2020 begin with 16292205 relations and 17852930 unique ideals Sun Sep 06 10:14:07 2020 reduce to 15828545 relations and 15046757 ideals in 9 passes Sun Sep 06 10:14:07 2020 max relations containing the same ideal: 92 Sun Sep 06 10:14:12 2020 removing 1884166 relations and 1407331 ideals in 476835 cliques Sun Sep 06 10:14:13 2020 commencing in-memory singleton removal Sun Sep 06 10:14:13 2020 begin with 13944379 relations and 15046757 unique ideals Sun Sep 06 10:14:19 2020 reduce to 13763990 relations and 13454018 ideals in 8 passes Sun Sep 06 10:14:19 2020 max relations containing the same ideal: 84 Sun Sep 06 10:14:25 2020 relations with 0 large ideals: 9656 Sun Sep 06 10:14:25 2020 relations with 1 large ideals: 3567 Sun Sep 06 10:14:25 2020 relations with 2 large ideals: 38294 Sun Sep 06 10:14:25 2020 relations with 3 large ideals: 274554 Sun Sep 06 10:14:25 2020 relations with 4 large ideals: 1071742 Sun Sep 06 10:14:25 2020 relations with 5 large ideals: 2504847 Sun Sep 06 10:14:25 2020 relations with 6 large ideals: 3644304 Sun Sep 06 10:14:25 2020 relations with 7+ large ideals: 6217026 Sun Sep 06 10:14:25 2020 commencing 2-way merge Sun Sep 06 10:14:32 2020 reduce to 9050608 relation sets and 8740636 unique ideals Sun Sep 06 10:14:32 2020 commencing full merge Sun Sep 06 10:20:12 2020 memory use: 405.2 MB Sun Sep 06 10:20:12 2020 found 22824 cycles, need 1942090 Sun Sep 06 10:20:12 2020 too few cycles, matrix probably cannot build Sun Sep 06 10:20:43 2020 Sun Sep 06 10:20:43 2020 Sun Sep 06 10:20:43 2020 Msieve v. 1.53 (SVN 1005) Sun Sep 06 10:20:43 2020 random seeds: c6ed2718 bc1c3377 Sun Sep 06 10:20:43 2020 factoring 30095299175077403548045998888499589746987705915701236321455228679546363516064178374571700801510444165628613317596485938620376015936537760979050393355294532376789572636274339989243637798508357507839862196929407 (209 digits) Sun Sep 06 10:20:43 2020 searching for 15-digit factors Sun Sep 06 10:20:44 2020 commencing number field sieve (209-digit input) Sun Sep 06 10:20:44 2020 R0: 55771927914216157920817288677473813 Sun Sep 06 10:20:44 2020 R1: -1 Sun Sep 06 10:20:44 2020 A0: -1 Sun Sep 06 10:20:44 2020 A1: 0 Sun Sep 06 10:20:44 2020 A2: 0 Sun Sep 06 10:20:44 2020 A3: 0 Sun Sep 06 10:20:44 2020 A4: 0 Sun Sep 06 10:20:44 2020 A5: 0 Sun Sep 06 10:20:44 2020 A6: 91997 Sun Sep 06 10:20:44 2020 skew 0.15, size 5.842e-011, alpha 0.978, combined = 2.295e-012 rroots = 2 Sun Sep 06 10:20:44 2020 Sun Sep 06 10:20:44 2020 commencing relation filtering Sun Sep 06 10:20:44 2020 setting target matrix density to 110.0 Sun Sep 06 10:20:44 2020 estimated available RAM is 16141.3 MB Sun Sep 06 10:20:44 2020 commencing duplicate removal, pass 1 <90 errors> Sun Sep 06 10:27:47 2020 skipped 31 relations with b > 2^32 Sun Sep 06 10:27:47 2020 skipped 43 relations with composite factors Sun Sep 06 10:27:47 2020 found 11439475 hash collisions in 63160772 relations Sun Sep 06 10:27:56 2020 commencing duplicate removal, pass 2 Sun Sep 06 10:28:21 2020 found 10653632 duplicates and 52507140 unique relations Sun Sep 06 10:28:21 2020 memory use: 330.4 MB Sun Sep 06 10:28:21 2020 reading ideals above 720000 Sun Sep 06 10:28:21 2020 commencing singleton removal, initial pass Sun Sep 06 10:33:51 2020 memory use: 1378.0 MB Sun Sep 06 10:33:51 2020 reading all ideals from disk Sun Sep 06 10:33:52 2020 memory use: 1904.9 MB Sun Sep 06 10:33:55 2020 keeping 48269769 ideals with weight <= 200, target excess is 262890 Sun Sep 06 10:33:58 2020 commencing in-memory singleton removal Sun Sep 06 10:34:01 2020 begin with 52507140 relations and 48269769 unique ideals Sun Sep 06 10:34:30 2020 reduce to 36289930 relations and 30591387 ideals in 13 passes Sun Sep 06 10:34:30 2020 max relations containing the same ideal: 166 Sun Sep 06 10:34:42 2020 removing 4510457 relations and 3510457 ideals in 1000000 cliques Sun Sep 06 10:34:43 2020 commencing in-memory singleton removal Sun Sep 06 10:34:45 2020 begin with 31779473 relations and 30591387 unique ideals Sun Sep 06 10:35:01 2020 reduce to 31222618 relations and 26504062 ideals in 9 passes Sun Sep 06 10:35:01 2020 max relations containing the same ideal: 149 Sun Sep 06 10:35:11 2020 removing 3679800 relations and 2679800 ideals in 1000000 cliques Sun Sep 06 10:35:12 2020 commencing in-memory singleton removal Sun Sep 06 10:35:13 2020 begin with 27542818 relations and 26504062 unique ideals Sun Sep 06 10:35:26 2020 reduce to 27157852 relations and 23426488 ideals in 8 passes Sun Sep 06 10:35:26 2020 max relations containing the same ideal: 135 Sun Sep 06 10:35:34 2020 removing 3431372 relations and 2431372 ideals in 1000000 cliques Sun Sep 06 10:35:35 2020 commencing in-memory singleton removal Sun Sep 06 10:35:37 2020 begin with 23726480 relations and 23426488 unique ideals Sun Sep 06 10:35:47 2020 reduce to 23355668 relations and 20611068 ideals in 8 passes Sun Sep 06 10:35:47 2020 max relations containing the same ideal: 123 Sun Sep 06 10:35:55 2020 removing 3343066 relations and 2343066 ideals in 1000000 cliques Sun Sep 06 10:35:56 2020 commencing in-memory singleton removal Sun Sep 06 10:35:57 2020 begin with 20012602 relations and 20611068 unique ideals Sun Sep 06 10:36:05 2020 reduce to 19613099 relations and 17852930 ideals in 8 passes Sun Sep 06 10:36:05 2020 max relations containing the same ideal: 111 Sun Sep 06 10:36:12 2020 removing 3320894 relations and 2320894 ideals in 1000000 cliques Sun Sep 06 10:36:13 2020 commencing in-memory singleton removal Sun Sep 06 10:36:14 2020 begin with 16292205 relations and 17852930 unique ideals Sun Sep 06 10:36:21 2020 reduce to 15828545 relations and 15046757 ideals in 9 passes Sun Sep 06 10:36:21 2020 max relations containing the same ideal: 92 Sun Sep 06 10:36:27 2020 removing 1884166 relations and 1407331 ideals in 476835 cliques Sun Sep 06 10:36:27 2020 commencing in-memory singleton removal Sun Sep 06 10:36:28 2020 begin with 13944379 relations and 15046757 unique ideals Sun Sep 06 10:36:34 2020 reduce to 13763990 relations and 13454018 ideals in 8 passes Sun Sep 06 10:36:34 2020 max relations containing the same ideal: 84 Sun Sep 06 10:36:40 2020 relations with 0 large ideals: 9656 Sun Sep 06 10:36:40 2020 relations with 1 large ideals: 3567 Sun Sep 06 10:36:40 2020 relations with 2 large ideals: 38294 Sun Sep 06 10:36:40 2020 relations with 3 large ideals: 274554 Sun Sep 06 10:36:40 2020 relations with 4 large ideals: 1071742 Sun Sep 06 10:36:40 2020 relations with 5 large ideals: 2504847 Sun Sep 06 10:36:40 2020 relations with 6 large ideals: 3644304 Sun Sep 06 10:36:40 2020 relations with 7+ large ideals: 6217026 Sun Sep 06 10:36:40 2020 commencing 2-way merge Sun Sep 06 10:36:47 2020 reduce to 9050608 relation sets and 8740636 unique ideals Sun Sep 06 10:36:47 2020 commencing full merge Sun Sep 06 10:39:31 2020 memory use: 1167.8 MB Sun Sep 06 10:39:32 2020 found 4123532 cycles, need 4106836 Sun Sep 06 10:39:32 2020 weight of 4106836 cycles is about 452132901 (110.09/cycle) Sun Sep 06 10:39:32 2020 distribution of cycle lengths: Sun Sep 06 10:39:32 2020 1 relations: 254209 Sun Sep 06 10:39:32 2020 2 relations: 303129 Sun Sep 06 10:39:32 2020 3 relations: 325001 Sun Sep 06 10:39:32 2020 4 relations: 320519 Sun Sep 06 10:39:32 2020 5 relations: 314181 Sun Sep 06 10:39:32 2020 6 relations: 304629 Sun Sep 06 10:39:32 2020 7 relations: 289851 Sun Sep 06 10:39:32 2020 8 relations: 272303 Sun Sep 06 10:39:32 2020 9 relations: 252169 Sun Sep 06 10:39:32 2020 10+ relations: 1470845 Sun Sep 06 10:39:32 2020 heaviest cycle: 28 relations Sun Sep 06 10:39:34 2020 commencing cycle optimization Sun Sep 06 10:39:39 2020 start with 33996139 relations Sun Sep 06 10:40:43 2020 pruned 1513045 relations Sun Sep 06 10:40:43 2020 memory use: 916.3 MB Sun Sep 06 10:40:43 2020 distribution of cycle lengths: Sun Sep 06 10:40:43 2020 1 relations: 254209 Sun Sep 06 10:40:43 2020 2 relations: 310544 Sun Sep 06 10:40:43 2020 3 relations: 339053 Sun Sep 06 10:40:43 2020 4 relations: 333270 Sun Sep 06 10:40:43 2020 5 relations: 329478 Sun Sep 06 10:40:43 2020 6 relations: 318254 Sun Sep 06 10:40:43 2020 7 relations: 303883 Sun Sep 06 10:40:43 2020 8 relations: 283496 Sun Sep 06 10:40:43 2020 9 relations: 262093 Sun Sep 06 10:40:43 2020 10+ relations: 1372556 Sun Sep 06 10:40:43 2020 heaviest cycle: 28 relations Sun Sep 06 10:40:47 2020 RelProcTime: 1203 Sun Sep 06 10:40:47 2020 elapsed time 00:20:04 Sun Sep 06 10:40:58 2020 Sun Sep 06 10:40:58 2020 Sun Sep 06 10:40:58 2020 Msieve v. 1.53 (SVN 1005) Sun Sep 06 10:40:58 2020 random seeds: 988d6a30 5116f215 Sun Sep 06 10:40:58 2020 factoring 30095299175077403548045998888499589746987705915701236321455228679546363516064178374571700801510444165628613317596485938620376015936537760979050393355294532376789572636274339989243637798508357507839862196929407 (209 digits) Sun Sep 06 10:40:59 2020 searching for 15-digit factors Sun Sep 06 10:40:59 2020 commencing number field sieve (209-digit input) Sun Sep 06 10:40:59 2020 R0: 55771927914216157920817288677473813 Sun Sep 06 10:40:59 2020 R1: -1 Sun Sep 06 10:40:59 2020 A0: -1 Sun Sep 06 10:40:59 2020 A1: 0 Sun Sep 06 10:40:59 2020 A2: 0 Sun Sep 06 10:40:59 2020 A3: 0 Sun Sep 06 10:40:59 2020 A4: 0 Sun Sep 06 10:40:59 2020 A5: 0 Sun Sep 06 10:40:59 2020 A6: 91997 Sun Sep 06 10:40:59 2020 skew 0.15, size 5.842e-011, alpha 0.978, combined = 2.295e-012 rroots = 2 Sun Sep 06 10:40:59 2020 Sun Sep 06 10:40:59 2020 commencing linear algebra Sun Sep 06 10:41:00 2020 read 4106836 cycles Sun Sep 06 10:41:07 2020 cycles contain 13544893 unique relations Sun Sep 06 10:42:13 2020 read 13544893 relations Sun Sep 06 10:42:30 2020 using 20 quadratic characters above 4294917295 Sun Sep 06 10:43:26 2020 building initial matrix Sun Sep 06 10:45:27 2020 memory use: 1660.8 MB Sun Sep 06 10:45:30 2020 read 4106836 cycles Sun Sep 06 10:45:31 2020 matrix is 4106659 x 4106836 (1777.8 MB) with weight 504785233 (122.91/col) Sun Sep 06 10:45:31 2020 sparse part has weight 420856193 (102.48/col) Sun Sep 06 10:46:01 2020 filtering completed in 2 passes Sun Sep 06 10:46:02 2020 matrix is 4106496 x 4106673 (1777.7 MB) with weight 504778675 (122.92/col) Sun Sep 06 10:46:02 2020 sparse part has weight 420853059 (102.48/col) Sun Sep 06 10:46:20 2020 matrix starts at (0, 0) Sun Sep 06 10:46:21 2020 matrix is 4106496 x 4106673 (1777.7 MB) with weight 504778675 (122.92/col) Sun Sep 06 10:46:21 2020 sparse part has weight 420853059 (102.48/col) Sun Sep 06 10:46:21 2020 saving the first 48 matrix rows for later Sun Sep 06 10:46:22 2020 matrix includes 64 packed rows Sun Sep 06 10:46:22 2020 matrix is 4106448 x 4106673 (1690.6 MB) with weight 432817173 (105.39/col) Sun Sep 06 10:46:22 2020 sparse part has weight 402116671 (97.92/col) Sun Sep 06 10:46:22 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB Sun Sep 06 10:46:40 2020 commencing Lanczos iteration (6 threads) Sun Sep 06 10:46:40 2020 memory use: 1399.6 MB Sun Sep 06 10:46:48 2020 linear algebra at 0.0%, ETA 5h14m Sun Sep 06 10:46:50 2020 checkpointing every 820000 dimensions Sun Sep 06 19:02:09 2020 lanczos halted after 64946 iterations (dim = 4106448) Sun Sep 06 19:02:13 2020 recovered 37 nontrivial dependencies Sun Sep 06 19:02:14 2020 BLanczosTime: 30075 Sun Sep 06 19:02:14 2020 elapsed time 08:21:16 Sun Sep 06 19:10:55 2020 Sun Sep 06 19:10:55 2020 Sun Sep 06 19:10:55 2020 Msieve v. 1.53 (SVN 1005) Sun Sep 06 19:10:55 2020 random seeds: 65d6ecc0 ba60c7e9 Sun Sep 06 19:10:55 2020 factoring 30095299175077403548045998888499589746987705915701236321455228679546363516064178374571700801510444165628613317596485938620376015936537760979050393355294532376789572636274339989243637798508357507839862196929407 (209 digits) Sun Sep 06 19:10:56 2020 searching for 15-digit factors Sun Sep 06 19:10:56 2020 commencing number field sieve (209-digit input) Sun Sep 06 19:10:56 2020 R0: 55771927914216157920817288677473813 Sun Sep 06 19:10:56 2020 R1: -1 Sun Sep 06 19:10:56 2020 A0: -1 Sun Sep 06 19:10:56 2020 A1: 0 Sun Sep 06 19:10:56 2020 A2: 0 Sun Sep 06 19:10:56 2020 A3: 0 Sun Sep 06 19:10:56 2020 A4: 0 Sun Sep 06 19:10:56 2020 A5: 0 Sun Sep 06 19:10:56 2020 A6: 91997 Sun Sep 06 19:10:56 2020 skew 0.15, size 5.842e-011, alpha 0.978, combined = 2.295e-012 rroots = 2 Sun Sep 06 19:10:56 2020 Sun Sep 06 19:10:56 2020 commencing square root phase Sun Sep 06 19:10:56 2020 reading relations for dependency 1 Sun Sep 06 19:10:57 2020 read 2052190 cycles Sun Sep 06 19:10:59 2020 cycles contain 6771888 unique relations Sun Sep 06 19:11:36 2020 read 6771888 relations Sun Sep 06 19:12:00 2020 multiplying 6771888 relations Sun Sep 06 19:16:42 2020 multiply complete, coefficients have about 264.16 million bits Sun Sep 06 19:16:43 2020 initial square root is modulo 3018494431 Sun Sep 06 19:21:43 2020 GCD is 1, no factor found Sun Sep 06 19:21:43 2020 reading relations for dependency 2 Sun Sep 06 19:21:44 2020 read 2052048 cycles Sun Sep 06 19:21:46 2020 cycles contain 6771104 unique relations Sun Sep 06 19:22:26 2020 read 6771104 relations Sun Sep 06 19:22:50 2020 multiplying 6771104 relations Sun Sep 06 19:27:32 2020 multiply complete, coefficients have about 264.13 million bits Sun Sep 06 19:27:33 2020 initial square root is modulo 3010791463 Sun Sep 06 19:32:35 2020 GCD is N, no factor found Sun Sep 06 19:32:35 2020 reading relations for dependency 3 Sun Sep 06 19:32:36 2020 read 2054905 cycles Sun Sep 06 19:32:39 2020 cycles contain 6775432 unique relations Sun Sep 06 19:33:16 2020 read 6775432 relations Sun Sep 06 19:33:40 2020 multiplying 6775432 relations Sun Sep 06 19:38:24 2020 multiply complete, coefficients have about 264.30 million bits Sun Sep 06 19:38:24 2020 initial square root is modulo 55291 Sun Sep 06 19:43:38 2020 sqrtTime: 1962 Sun Sep 06 19:43:38 2020 p52 factor: 9596265036010581604338742365787303364306581650247103 Sun Sep 06 19:43:38 2020 p157 factor: 3136147142887667330557863957862973385060785987726431021515446460386948664513806629014549165703299785056592668266215368092116003921732343801515429969120623169 Sun Sep 06 19:43:38 2020 elapsed time 00:32:43