Wed Apr 26 05:54:40 2017 Wed Apr 26 05:54:40 2017 Wed Apr 26 05:54:40 2017 Msieve v. 1.53 (SVN unknown) Wed Apr 26 05:54:40 2017 random seeds: 432cb2c0 a3d0ea6e Wed Apr 26 05:54:40 2017 factoring 802320890217478042163831208585260808818112468994562646062921218163624296944397084983306680966607349361160236150639896586413248097648688106047528225560026228558455487639033157834143057744927653178053197649963 (207 digits) Wed Apr 26 05:54:41 2017 searching for 15-digit factors Wed Apr 26 05:54:41 2017 commencing number field sieve (207-digit input) Wed Apr 26 05:54:42 2017 R0: 81129638414606681695789005144064 Wed Apr 26 05:54:42 2017 R1: -137996870875659993023030601717979081222891 Wed Apr 26 05:54:42 2017 A0: 8281 Wed Apr 26 05:54:42 2017 A1: 0 Wed Apr 26 05:54:42 2017 A2: 0 Wed Apr 26 05:54:42 2017 A3: 0 Wed Apr 26 05:54:42 2017 A4: 0 Wed Apr 26 05:54:42 2017 A5: 0 Wed Apr 26 05:54:42 2017 A6: 2 Wed Apr 26 05:54:42 2017 skew 4.01, size 1.360e-12, alpha 0.179, combined = 1.511e-13 rroots = 0 Wed Apr 26 05:54:42 2017 Wed Apr 26 05:54:42 2017 commencing relation filtering Wed Apr 26 05:54:42 2017 setting target matrix density to 126.0 Wed Apr 26 05:54:42 2017 estimated available RAM is 32721.3 MB Wed Apr 26 05:54:42 2017 commencing duplicate removal, pass 1 Wed Apr 26 05:56:15 2017 error -9 reading relation 6960161 Wed Apr 26 05:57:39 2017 error -5 reading relation 13312375 Wed Apr 26 05:58:39 2017 error -1 reading relation 17817476 Wed Apr 26 05:58:40 2017 error -9 reading relation 17854845 Wed Apr 26 06:00:33 2017 error -9 reading relation 26408026 Wed Apr 26 06:01:54 2017 error -15 reading relation 32498340 Wed Apr 26 06:01:54 2017 error -5 reading relation 32498475 Wed Apr 26 06:01:57 2017 error -15 reading relation 32698718 Wed Apr 26 06:01:57 2017 error -9 reading relation 32698841 Wed Apr 26 06:02:35 2017 error -5 reading relation 35519691 Wed Apr 26 06:02:41 2017 error -15 reading relation 36013737 Wed Apr 26 06:03:40 2017 error -15 reading relation 40442538 Wed Apr 26 06:06:48 2017 error -9 reading relation 52705628 Wed Apr 26 06:07:23 2017 error -1 reading relation 55082219 Wed Apr 26 06:14:14 2017 error -9 reading relation 82226215 Wed Apr 26 06:16:36 2017 error -9 reading relation 92926499 Wed Apr 26 06:17:18 2017 error -9 reading relation 96126969 Wed Apr 26 06:17:31 2017 error -15 reading relation 97093700 Wed Apr 26 06:17:57 2017 error -9 reading relation 99071925 Wed Apr 26 06:18:47 2017 error -9 reading relation 102858826 Wed Apr 26 06:20:59 2017 error -9 reading relation 112763749 Wed Apr 26 06:20:59 2017 error -15 reading relation 112773136 Wed Apr 26 06:22:14 2017 error -5 reading relation 118421414 Wed Apr 26 06:23:06 2017 error -1 reading relation 122357670 Wed Apr 26 06:23:10 2017 error -1 reading relation 122665383 Wed Apr 26 06:24:52 2017 error -9 reading relation 130328253 Wed Apr 26 06:24:52 2017 error -9 reading relation 130332389 Wed Apr 26 06:24:58 2017 error -15 reading relation 130743941 Wed Apr 26 06:31:14 2017 error -15 reading relation 158942887 Wed Apr 26 06:32:15 2017 error -15 reading relation 163488273 Wed Apr 26 06:32:18 2017 error -9 reading relation 163730054 Wed Apr 26 06:36:37 2017 error -1 reading relation 183151148 Wed Apr 26 06:38:11 2017 error -15 reading relation 190222152 Wed Apr 26 06:38:11 2017 error -1 reading relation 190242546 Wed Apr 26 06:39:42 2017 error -15 reading relation 197036271 Wed Apr 26 06:42:16 2017 error -15 reading relation 208603318 Wed Apr 26 06:42:18 2017 error -9 reading relation 208752122 Wed Apr 26 06:42:54 2017 error -9 reading relation 211465253 Wed Apr 26 06:44:42 2017 error -9 reading relation 219618545 Wed Apr 26 06:46:34 2017 error -5 reading relation 228125174 Wed Apr 26 06:46:45 2017 error -15 reading relation 228917299 Wed Apr 26 06:47:54 2017 error -5 reading relation 234089442 Wed Apr 26 06:48:44 2017 error -15 reading relation 237770251 Wed Apr 26 06:49:35 2017 error -9 reading relation 241618681 Wed Apr 26 06:50:08 2017 error -15 reading relation 244100344 Wed Apr 26 06:50:10 2017 error -5 reading relation 244201282 Wed Apr 26 06:50:15 2017 error -5 reading relation 244619555 Wed Apr 26 06:50:15 2017 error -9 reading relation 244623378 Wed Apr 26 06:50:44 2017 error -5 reading relation 246774874 Wed Apr 26 06:50:57 2017 error -9 reading relation 247730045 Wed Apr 26 06:51:10 2017 error -5 reading relation 248784076 Wed Apr 26 06:51:11 2017 error -9 reading relation 248814011 Wed Apr 26 06:51:17 2017 error -1 reading relation 249294411 Wed Apr 26 06:51:23 2017 error -1 reading relation 249715013 Wed Apr 26 06:51:24 2017 error -5 reading relation 249805286 Wed Apr 26 06:51:56 2017 error -5 reading relation 252289343 Wed Apr 26 06:51:57 2017 error -15 reading relation 252305470 Wed Apr 26 06:52:19 2017 error -5 reading relation 254022769 Wed Apr 26 06:52:23 2017 error -9 reading relation 254262961 Wed Apr 26 06:52:36 2017 error -5 reading relation 255239449 Wed Apr 26 06:53:49 2017 error -1 reading relation 260742583 Wed Apr 26 06:54:44 2017 error -1 reading relation 264890132 Wed Apr 26 06:59:43 2017 error -9 reading relation 287311027 Wed Apr 26 07:01:37 2017 error -9 reading relation 295701378 Wed Apr 26 07:02:04 2017 error -9 reading relation 297718887 Wed Apr 26 07:04:17 2017 error -9 reading relation 307685010 Wed Apr 26 07:04:22 2017 error -5 reading relation 308057865 Wed Apr 26 07:04:36 2017 error -9 reading relation 309056933 Wed Apr 26 07:04:40 2017 error -9 reading relation 309414433 Wed Apr 26 07:05:00 2017 error -9 reading relation 310858051 Wed Apr 26 07:05:01 2017 error -15 reading relation 310969170 Wed Apr 26 07:07:29 2017 error -1 reading relation 321997205 Wed Apr 26 07:07:37 2017 error -1 reading relation 322618118 Wed Apr 26 07:09:07 2017 error -9 reading relation 329352961 Wed Apr 26 07:09:11 2017 error -9 reading relation 329705219 Wed Apr 26 07:09:44 2017 error -5 reading relation 332160197 Wed Apr 26 07:13:37 2017 error -5 reading relation 349534429 Wed Apr 26 07:17:16 2017 error -9 reading relation 365940770 Wed Apr 26 07:17:19 2017 error -9 reading relation 366129042 Wed Apr 26 07:21:00 2017 error -9 reading relation 382917919 Wed Apr 26 07:21:35 2017 error -15 reading relation 385528245 Wed Apr 26 07:21:35 2017 error -5 reading relation 385530173 Wed Apr 26 07:22:24 2017 error -9 reading relation 389201048 Wed Apr 26 07:22:28 2017 error -9 reading relation 389518421 Wed Apr 26 07:22:53 2017 error -15 reading relation 391517781 Wed Apr 26 07:23:02 2017 error -9 reading relation 392176634 Wed Apr 26 07:23:16 2017 error -9 reading relation 393232053 Wed Apr 26 07:23:30 2017 error -9 reading relation 394277310 Wed Apr 26 07:23:59 2017 error -1 reading relation 396478767 Wed Apr 26 07:23:59 2017 error -9 reading relation 396480971 Wed Apr 26 07:23:59 2017 error -9 reading relation 396495091 Wed Apr 26 07:24:00 2017 error -15 reading relation 396569801 Wed Apr 26 07:24:11 2017 error -15 reading relation 397411860 Wed Apr 26 07:24:46 2017 error -1 reading relation 400075348 Wed Apr 26 07:26:16 2017 error -1 reading relation 407111251 Wed Apr 26 07:26:17 2017 error -5 reading relation 407208911 Wed Apr 26 07:26:17 2017 error -1 reading relation 407212239 Wed Apr 26 07:26:21 2017 error -9 reading relation 407466907 Wed Apr 26 07:29:49 2017 error -9 reading relation 423569858 Wed Apr 26 07:29:49 2017 error -9 reading relation 423594125 Wed Apr 26 07:30:10 2017 error -15 reading relation 425229260 Wed Apr 26 07:30:10 2017 error -1 reading relation 425232000 Wed Apr 26 07:30:10 2017 error -1 reading relation 425232037 Wed Apr 26 07:30:42 2017 error -1 reading relation 427735784 Wed Apr 26 07:31:31 2017 error -15 reading relation 431417285 Wed Apr 26 07:31:32 2017 error -1 reading relation 431512537 Wed Apr 26 07:32:27 2017 error -5 reading relation 435646099 Wed Apr 26 07:32:27 2017 error -9 reading relation 435650600 Wed Apr 26 07:32:27 2017 error -1 reading relation 435662902 Wed Apr 26 07:33:04 2017 error -9 reading relation 438519297 Wed Apr 26 07:33:21 2017 error -1 reading relation 439775837 Wed Apr 26 07:33:21 2017 error -9 reading relation 439778992 Wed Apr 26 07:33:21 2017 error -9 reading relation 439791345 Wed Apr 26 07:34:37 2017 error -9 reading relation 445516131 Wed Apr 26 07:35:10 2017 error -9 reading relation 447991791 Wed Apr 26 07:35:46 2017 error -9 reading relation 450791048 Wed Apr 26 07:37:43 2017 error -9 reading relation 459568673 Wed Apr 26 07:39:06 2017 error -1 reading relation 465962107 Wed Apr 26 07:39:11 2017 error -9 reading relation 466305751 Wed Apr 26 07:39:12 2017 error -5 reading relation 466396374 Wed Apr 26 07:39:17 2017 error -9 reading relation 466805414 Wed Apr 26 07:39:34 2017 error -9 reading relation 468117443 Wed Apr 26 07:39:34 2017 error -15 reading relation 468118942 Wed Apr 26 07:39:35 2017 error -9 reading relation 468161999 Wed Apr 26 07:39:43 2017 error -15 reading relation 468775742 Wed Apr 26 07:39:43 2017 error -15 reading relation 468804399 Wed Apr 26 07:39:46 2017 error -5 reading relation 468981756 Wed Apr 26 07:40:17 2017 error -9 reading relation 471383414 Wed Apr 26 07:40:18 2017 error -9 reading relation 471427416 Wed Apr 26 07:40:20 2017 skipped 50 relations with b > 2^32 Wed Apr 26 07:40:20 2017 skipped 88 relations with composite factors Wed Apr 26 07:40:20 2017 found 102923188 hash collisions in 471594582 relations Wed Apr 26 07:40:49 2017 added 1218638 free relations Wed Apr 26 07:40:49 2017 commencing duplicate removal, pass 2 Wed Apr 26 07:48:58 2017 found 92735173 duplicates and 380078047 unique relations Wed Apr 26 07:48:58 2017 memory use: 2387.0 MB Wed Apr 26 07:48:58 2017 reading ideals above 267976704 Wed Apr 26 07:48:58 2017 commencing singleton removal, initial pass Wed Apr 26 08:51:21 2017 memory use: 6024.0 MB Wed Apr 26 08:51:22 2017 reading all ideals from disk Wed Apr 26 08:52:04 2017 memory use: 6404.0 MB Wed Apr 26 08:52:20 2017 commencing in-memory singleton removal Wed Apr 26 08:52:34 2017 begin with 380078047 relations and 308398996 unique ideals Wed Apr 26 08:55:12 2017 reduce to 248937609 relations and 163954574 ideals in 14 passes Wed Apr 26 08:55:12 2017 max relations containing the same ideal: 42 Wed Apr 26 08:55:32 2017 reading ideals above 720000 Wed Apr 26 08:55:32 2017 commencing singleton removal, initial pass Wed Apr 26 09:46:12 2017 memory use: 5512.0 MB Wed Apr 26 09:46:12 2017 reading all ideals from disk Wed Apr 26 09:47:30 2017 memory use: 10041.7 MB Wed Apr 26 09:48:00 2017 keeping 191932486 ideals with weight <= 200, target excess is 1233605 Wed Apr 26 09:48:35 2017 commencing in-memory singleton removal Wed Apr 26 09:48:58 2017 begin with 248937609 relations and 191932486 unique ideals Wed Apr 26 09:50:57 2017 reduce to 248937362 relations and 191932239 ideals in 5 passes Wed Apr 26 09:50:57 2017 max relations containing the same ideal: 200 Wed Apr 26 09:52:53 2017 removing 12423392 relations and 10423392 ideals in 2000000 cliques Wed Apr 26 09:52:58 2017 commencing in-memory singleton removal Wed Apr 26 09:53:20 2017 begin with 236513970 relations and 191932239 unique ideals Wed Apr 26 09:56:22 2017 reduce to 236077816 relations and 181068010 ideals in 8 passes Wed Apr 26 09:56:22 2017 max relations containing the same ideal: 199 Wed Apr 26 09:58:11 2017 removing 9341306 relations and 7341306 ideals in 2000000 cliques Wed Apr 26 09:58:16 2017 commencing in-memory singleton removal Wed Apr 26 09:58:36 2017 begin with 226736510 relations and 181068010 unique ideals Wed Apr 26 10:01:09 2017 reduce to 226455203 relations and 173442918 ideals in 7 passes Wed Apr 26 10:01:09 2017 max relations containing the same ideal: 196 Wed Apr 26 10:02:54 2017 removing 8365926 relations and 6365926 ideals in 2000000 cliques Wed Apr 26 10:02:58 2017 commencing in-memory singleton removal Wed Apr 26 10:03:17 2017 begin with 218089277 relations and 173442918 unique ideals Wed Apr 26 10:05:44 2017 reduce to 217849590 relations and 166835166 ideals in 7 passes Wed Apr 26 10:05:44 2017 max relations containing the same ideal: 193 Wed Apr 26 10:07:25 2017 removing 7821019 relations and 5821019 ideals in 2000000 cliques Wed Apr 26 10:07:29 2017 commencing in-memory singleton removal Wed Apr 26 10:07:48 2017 begin with 210028571 relations and 166835166 unique ideals Wed Apr 26 10:09:49 2017 reduce to 209808586 relations and 160792227 ideals in 6 passes Wed Apr 26 10:09:49 2017 max relations containing the same ideal: 189 Wed Apr 26 10:11:27 2017 removing 7471015 relations and 5471015 ideals in 2000000 cliques Wed Apr 26 10:11:31 2017 commencing in-memory singleton removal Wed Apr 26 10:11:49 2017 begin with 202337571 relations and 160792227 unique ideals Wed Apr 26 10:13:45 2017 reduce to 202130953 relations and 155112753 ideals in 6 passes Wed Apr 26 10:13:45 2017 max relations containing the same ideal: 184 Wed Apr 26 10:15:18 2017 removing 7217293 relations and 5217293 ideals in 2000000 cliques Wed Apr 26 10:15:22 2017 commencing in-memory singleton removal Wed Apr 26 10:15:39 2017 begin with 194913660 relations and 155112753 unique ideals Wed Apr 26 10:17:48 2017 reduce to 194714510 relations and 149694471 ideals in 7 passes Wed Apr 26 10:17:48 2017 max relations containing the same ideal: 181 Wed Apr 26 10:19:19 2017 removing 7027038 relations and 5027038 ideals in 2000000 cliques Wed Apr 26 10:19:22 2017 commencing in-memory singleton removal Wed Apr 26 10:19:39 2017 begin with 187687472 relations and 149694471 unique ideals Wed Apr 26 10:21:44 2017 reduce to 187493845 relations and 144471953 ideals in 7 passes Wed Apr 26 10:21:44 2017 max relations containing the same ideal: 175 Wed Apr 26 10:23:11 2017 removing 6881276 relations and 4881276 ideals in 2000000 cliques Wed Apr 26 10:23:15 2017 commencing in-memory singleton removal Wed Apr 26 10:23:31 2017 begin with 180612569 relations and 144471953 unique ideals Wed Apr 26 10:25:30 2017 reduce to 180420299 relations and 139396518 ideals in 7 passes Wed Apr 26 10:25:30 2017 max relations containing the same ideal: 172 Wed Apr 26 10:26:54 2017 removing 6758855 relations and 4758855 ideals in 2000000 cliques Wed Apr 26 10:26:58 2017 commencing in-memory singleton removal Wed Apr 26 10:27:13 2017 begin with 173661444 relations and 139396518 unique ideals Wed Apr 26 10:29:07 2017 reduce to 173472214 relations and 134446487 ideals in 7 passes Wed Apr 26 10:29:07 2017 max relations containing the same ideal: 169 Wed Apr 26 10:30:28 2017 removing 6666530 relations and 4666530 ideals in 2000000 cliques Wed Apr 26 10:30:31 2017 commencing in-memory singleton removal Wed Apr 26 10:30:46 2017 begin with 166805684 relations and 134446487 unique ideals Wed Apr 26 10:32:20 2017 reduce to 166616889 relations and 129589085 ideals in 6 passes Wed Apr 26 10:32:20 2017 max relations containing the same ideal: 164 Wed Apr 26 10:33:38 2017 removing 6585235 relations and 4585235 ideals in 2000000 cliques Wed Apr 26 10:33:41 2017 commencing in-memory singleton removal Wed Apr 26 10:33:55 2017 begin with 160031654 relations and 129589085 unique ideals Wed Apr 26 10:35:25 2017 reduce to 159842928 relations and 124812883 ideals in 6 passes Wed Apr 26 10:35:25 2017 max relations containing the same ideal: 160 Wed Apr 26 10:36:40 2017 removing 6514580 relations and 4514580 ideals in 2000000 cliques Wed Apr 26 10:36:44 2017 commencing in-memory singleton removal Wed Apr 26 10:36:57 2017 begin with 153328348 relations and 124812883 unique ideals Wed Apr 26 10:38:23 2017 reduce to 153139587 relations and 120107370 ideals in 6 passes Wed Apr 26 10:38:23 2017 max relations containing the same ideal: 156 Wed Apr 26 10:39:34 2017 removing 6459134 relations and 4459134 ideals in 2000000 cliques Wed Apr 26 10:39:38 2017 commencing in-memory singleton removal Wed Apr 26 10:39:50 2017 begin with 146680453 relations and 120107370 unique ideals Wed Apr 26 10:41:12 2017 reduce to 146489346 relations and 115454812 ideals in 6 passes Wed Apr 26 10:41:12 2017 max relations containing the same ideal: 152 Wed Apr 26 10:42:22 2017 removing 6407934 relations and 4407934 ideals in 2000000 cliques Wed Apr 26 10:42:25 2017 commencing in-memory singleton removal Wed Apr 26 10:42:37 2017 begin with 140081412 relations and 115454812 unique ideals Wed Apr 26 10:43:55 2017 reduce to 139887056 relations and 110850012 ideals in 6 passes Wed Apr 26 10:43:55 2017 max relations containing the same ideal: 149 Wed Apr 26 10:45:01 2017 removing 6365977 relations and 4365977 ideals in 2000000 cliques Wed Apr 26 10:45:04 2017 commencing in-memory singleton removal Wed Apr 26 10:45:16 2017 begin with 133521079 relations and 110850012 unique ideals Wed Apr 26 10:46:29 2017 reduce to 133322863 relations and 106283123 ideals in 6 passes Wed Apr 26 10:46:29 2017 max relations containing the same ideal: 145 Wed Apr 26 10:47:32 2017 removing 6332295 relations and 4332295 ideals in 2000000 cliques Wed Apr 26 10:47:35 2017 commencing in-memory singleton removal Wed Apr 26 10:47:46 2017 begin with 126990568 relations and 106283123 unique ideals Wed Apr 26 10:48:56 2017 reduce to 126788699 relations and 101746059 ideals in 6 passes Wed Apr 26 10:48:56 2017 max relations containing the same ideal: 138 Wed Apr 26 10:49:55 2017 removing 6301470 relations and 4301470 ideals in 2000000 cliques Wed Apr 26 10:49:58 2017 commencing in-memory singleton removal Wed Apr 26 10:50:09 2017 begin with 120487229 relations and 101746059 unique ideals Wed Apr 26 10:51:15 2017 reduce to 120281238 relations and 97235500 ideals in 6 passes Wed Apr 26 10:51:15 2017 max relations containing the same ideal: 135 Wed Apr 26 10:52:11 2017 removing 6276097 relations and 4276097 ideals in 2000000 cliques Wed Apr 26 10:52:14 2017 commencing in-memory singleton removal Wed Apr 26 10:52:24 2017 begin with 114005141 relations and 97235500 unique ideals Wed Apr 26 10:53:36 2017 reduce to 113791896 relations and 92742844 ideals in 7 passes Wed Apr 26 10:53:36 2017 max relations containing the same ideal: 131 Wed Apr 26 10:54:30 2017 removing 6252074 relations and 4252074 ideals in 2000000 cliques Wed Apr 26 10:54:32 2017 commencing in-memory singleton removal Wed Apr 26 10:54:41 2017 begin with 107539822 relations and 92742844 unique ideals Wed Apr 26 10:55:39 2017 reduce to 107318835 relations and 88266189 ideals in 6 passes Wed Apr 26 10:55:39 2017 max relations containing the same ideal: 123 Wed Apr 26 10:56:30 2017 removing 6230637 relations and 4230637 ideals in 2000000 cliques Wed Apr 26 10:56:33 2017 commencing in-memory singleton removal Wed Apr 26 10:56:41 2017 begin with 101088198 relations and 88266189 unique ideals Wed Apr 26 10:57:35 2017 reduce to 100859434 relations and 83802943 ideals in 6 passes Wed Apr 26 10:57:35 2017 max relations containing the same ideal: 118 Wed Apr 26 10:58:23 2017 removing 6216869 relations and 4216869 ideals in 2000000 cliques Wed Apr 26 10:58:26 2017 commencing in-memory singleton removal Wed Apr 26 10:58:33 2017 begin with 94642565 relations and 83802943 unique ideals Wed Apr 26 10:59:24 2017 reduce to 94402991 relations and 79342211 ideals in 6 passes Wed Apr 26 10:59:24 2017 max relations containing the same ideal: 112 Wed Apr 26 11:00:09 2017 removing 6208603 relations and 4208603 ideals in 2000000 cliques Wed Apr 26 11:00:12 2017 commencing in-memory singleton removal Wed Apr 26 11:00:19 2017 begin with 88194388 relations and 79342211 unique ideals Wed Apr 26 11:01:07 2017 reduce to 87940219 relations and 74874740 ideals in 6 passes Wed Apr 26 11:01:07 2017 max relations containing the same ideal: 107 Wed Apr 26 11:01:50 2017 removing 6204116 relations and 4204116 ideals in 2000000 cliques Wed Apr 26 11:01:52 2017 commencing in-memory singleton removal Wed Apr 26 11:01:59 2017 begin with 81736103 relations and 74874740 unique ideals Wed Apr 26 11:02:45 2017 reduce to 81467038 relations and 70396090 ideals in 6 passes Wed Apr 26 11:02:45 2017 max relations containing the same ideal: 104 Wed Apr 26 11:03:26 2017 removing 6208581 relations and 4208581 ideals in 2000000 cliques Wed Apr 26 11:03:28 2017 commencing in-memory singleton removal Wed Apr 26 11:03:34 2017 begin with 75258457 relations and 70396090 unique ideals Wed Apr 26 11:04:22 2017 reduce to 74967412 relations and 65890063 ideals in 7 passes Wed Apr 26 11:04:22 2017 max relations containing the same ideal: 98 Wed Apr 26 11:04:59 2017 removing 6217379 relations and 4217379 ideals in 2000000 cliques Wed Apr 26 11:05:01 2017 commencing in-memory singleton removal Wed Apr 26 11:05:07 2017 begin with 68750033 relations and 65890063 unique ideals Wed Apr 26 11:05:44 2017 reduce to 68428488 relations and 61343601 ideals in 6 passes Wed Apr 26 11:05:44 2017 max relations containing the same ideal: 93 Wed Apr 26 11:06:18 2017 removing 6246390 relations and 4246390 ideals in 2000000 cliques Wed Apr 26 11:06:20 2017 commencing in-memory singleton removal Wed Apr 26 11:06:25 2017 begin with 62182098 relations and 61343601 unique ideals Wed Apr 26 11:07:03 2017 reduce to 61820209 relations and 56726215 ideals in 7 passes Wed Apr 26 11:07:03 2017 max relations containing the same ideal: 84 Wed Apr 26 11:07:34 2017 removing 6296791 relations and 4296791 ideals in 2000000 cliques Wed Apr 26 11:07:37 2017 commencing in-memory singleton removal Wed Apr 26 11:07:41 2017 begin with 55523418 relations and 56726215 unique ideals Wed Apr 26 11:08:15 2017 reduce to 55101914 relations and 51996205 ideals in 7 passes Wed Apr 26 11:08:15 2017 max relations containing the same ideal: 77 Wed Apr 26 11:08:43 2017 removing 5503934 relations and 3829207 ideals in 1674727 cliques Wed Apr 26 11:08:45 2017 commencing in-memory singleton removal Wed Apr 26 11:08:49 2017 begin with 49597980 relations and 51996205 unique ideals Wed Apr 26 11:09:19 2017 reduce to 49214631 relations and 47773528 ideals in 7 passes Wed Apr 26 11:09:19 2017 max relations containing the same ideal: 72 Wed Apr 26 11:09:43 2017 removing 68485 relations and 58364 ideals in 10121 cliques Wed Apr 26 11:09:44 2017 commencing in-memory singleton removal Wed Apr 26 11:09:48 2017 begin with 49146146 relations and 47773528 unique ideals Wed Apr 26 11:10:01 2017 reduce to 49146101 relations and 47715119 ideals in 3 passes Wed Apr 26 11:10:01 2017 max relations containing the same ideal: 72 Wed Apr 26 11:10:11 2017 relations with 0 large ideals: 47112 Wed Apr 26 11:10:11 2017 relations with 1 large ideals: 29980 Wed Apr 26 11:10:11 2017 relations with 2 large ideals: 383331 Wed Apr 26 11:10:11 2017 relations with 3 large ideals: 2170674 Wed Apr 26 11:10:11 2017 relations with 4 large ideals: 6558107 Wed Apr 26 11:10:11 2017 relations with 5 large ideals: 11726944 Wed Apr 26 11:10:11 2017 relations with 6 large ideals: 13034877 Wed Apr 26 11:10:11 2017 relations with 7+ large ideals: 15195076 Wed Apr 26 11:10:11 2017 commencing 2-way merge Wed Apr 26 11:10:43 2017 reduce to 32944551 relation sets and 31513569 unique ideals Wed Apr 26 11:10:43 2017 commencing full merge Wed Apr 26 11:25:58 2017 memory use: 4060.4 MB Wed Apr 26 11:26:02 2017 found 14570773 cycles, need 14505769 Wed Apr 26 11:26:03 2017 weight of 14505769 cycles is about 1827835507 (126.01/cycle) Wed Apr 26 11:26:03 2017 distribution of cycle lengths: Wed Apr 26 11:26:03 2017 1 relations: 457873 Wed Apr 26 11:26:03 2017 2 relations: 728768 Wed Apr 26 11:26:03 2017 3 relations: 908222 Wed Apr 26 11:26:03 2017 4 relations: 981321 Wed Apr 26 11:26:03 2017 5 relations: 1038447 Wed Apr 26 11:26:03 2017 6 relations: 1056508 Wed Apr 26 11:26:03 2017 7 relations: 1055399 Wed Apr 26 11:26:03 2017 8 relations: 1029387 Wed Apr 26 11:26:03 2017 9 relations: 976352 Wed Apr 26 11:26:03 2017 10+ relations: 6273492 Wed Apr 26 11:26:03 2017 heaviest cycle: 28 relations Wed Apr 26 11:26:06 2017 commencing cycle optimization Wed Apr 26 11:26:37 2017 start with 135372800 relations Wed Apr 26 11:34:10 2017 pruned 6864362 relations Wed Apr 26 11:34:10 2017 memory use: 3433.9 MB Wed Apr 26 11:34:10 2017 distribution of cycle lengths: Wed Apr 26 11:34:10 2017 1 relations: 457873 Wed Apr 26 11:34:10 2017 2 relations: 748128 Wed Apr 26 11:34:10 2017 3 relations: 948164 Wed Apr 26 11:34:10 2017 4 relations: 1026555 Wed Apr 26 11:34:10 2017 5 relations: 1096277 Wed Apr 26 11:34:10 2017 6 relations: 1115576 Wed Apr 26 11:34:10 2017 7 relations: 1120367 Wed Apr 26 11:34:10 2017 8 relations: 1088741 Wed Apr 26 11:34:10 2017 9 relations: 1033258 Wed Apr 26 11:34:10 2017 10+ relations: 5870830 Wed Apr 26 11:34:10 2017 heaviest cycle: 28 relations Wed Apr 26 11:34:55 2017 RelProcTime: 20413 Wed Apr 26 11:34:55 2017 Wed Apr 26 11:34:55 2017 commencing linear algebra Wed Apr 26 11:34:58 2017 read 14505769 cycles Wed Apr 26 11:35:36 2017 cycles contain 48461043 unique relations Wed Apr 26 11:44:48 2017 read 48461043 relations Wed Apr 26 11:46:57 2017 using 20 quadratic characters above 4294917295 Wed Apr 26 11:50:18 2017 building initial matrix Wed Apr 26 12:01:53 2017 memory use: 6359.0 MB Wed Apr 26 12:02:10 2017 read 14505769 cycles Wed Apr 26 12:02:15 2017 matrix is 14505592 x 14505769 (7112.8 MB) with weight 2050613890 (141.37/col) Wed Apr 26 12:02:15 2017 sparse part has weight 1705010108 (117.54/col) Wed Apr 26 12:06:18 2017 filtering completed in 2 passes Wed Apr 26 12:06:22 2017 matrix is 14505369 x 14505546 (7112.8 MB) with weight 2050604990 (141.37/col) Wed Apr 26 12:06:22 2017 sparse part has weight 1705006679 (117.54/col) Wed Apr 26 12:07:47 2017 matrix starts at (0, 0) Wed Apr 26 12:07:51 2017 matrix is 14505369 x 14505546 (7112.8 MB) with weight 2050604990 (141.37/col) Wed Apr 26 12:07:51 2017 sparse part has weight 1705006679 (117.54/col) Wed Apr 26 12:07:51 2017 saving the first 48 matrix rows for later Wed Apr 26 12:07:56 2017 matrix includes 64 packed rows Wed Apr 26 12:07:59 2017 matrix is 14505321 x 14505546 (6817.8 MB) with weight 1765034468 (121.68/col) Wed Apr 26 12:07:59 2017 sparse part has weight 1642202476 (113.21/col) Wed Apr 26 12:07:59 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Apr 26 12:09:52 2017 commencing Lanczos iteration (6 threads) Wed Apr 26 12:09:52 2017 memory use: 5841.0 MB Wed Apr 26 12:11:18 2017 linear algebra at 0.0%, ETA 217h12m Wed Apr 26 12:11:45 2017 checkpointing every 70000 dimensions Fri May 5 13:54:33 2017 lanczos halted after 229388 iterations (dim = 14505321) Fri May 5 13:55:13 2017 recovered 40 nontrivial dependencies Fri May 5 13:55:35 2017 BLanczosTime: 786040 Fri May 5 13:55:35 2017 Fri May 5 13:55:35 2017 commencing square root phase Fri May 5 13:55:35 2017 handling dependencies 1 to 64 Fri May 5 13:55:35 2017 reading relations for dependency 1 Fri May 5 13:55:38 2017 read 7255835 cycles Fri May 5 13:55:55 2017 cycles contain 24230294 unique relations Fri May 5 14:04:35 2017 read 24230294 relations Fri May 5 14:06:49 2017 multiplying 24230294 relations Fri May 5 14:26:36 2017 multiply complete, coefficients have about 661.96 million bits Fri May 5 14:26:41 2017 initial square root is modulo 868663 Fri May 5 14:48:13 2017 sqrtTime: 3158 Fri May 5 14:48:13 2017 p76 factor: 2104400641638418732161148213874935246503471151069131875331519904774093542083 Fri May 5 14:48:13 2017 p132 factor: 381258622689269270014940251648100228906098113021530710463135832777112161682637662164232535448658411292505423097441595867599495626361 Fri May 5 14:48:13 2017 elapsed time 224:53:33