Wed Feb 08 16:55:10 2023 Wed Feb 08 16:55:10 2023 Wed Feb 08 16:55:10 2023 Msieve v. 1.53 (SVN 988) Wed Feb 08 16:55:10 2023 random seeds: aad0deb0 b12617a2 Wed Feb 08 16:55:10 2023 factoring 26809877251481717658705459321106446180281507358827247224760572402418802353177687515918305935340495839503838754574213068697194549266001810532249721041088983562282446240041 (170 digits) Wed Feb 08 16:55:11 2023 searching for 15-digit factors Wed Feb 08 16:55:11 2023 commencing number field sieve (170-digit input) Wed Feb 08 16:55:11 2023 R0: -950813095453929829585101445041325 Wed Feb 08 16:55:11 2023 R1: 147533945322193117 Wed Feb 08 16:55:11 2023 A0: -217343631268751690454123281660836034687180712 Wed Feb 08 16:55:11 2023 A1: 4180870234236441487318330542199962138 Wed Feb 08 16:55:11 2023 A2: 214291683909041471045036522119 Wed Feb 08 16:55:11 2023 A3: -492723181897389134518 Wed Feb 08 16:55:11 2023 A4: -21735121707002 Wed Feb 08 16:55:11 2023 A5: 34500 Wed Feb 08 16:55:11 2023 skew 106470755.07, size 1.072e-016, alpha -8.193, combined = 2.901e-013 rroots = 5 Wed Feb 08 16:55:11 2023 Wed Feb 08 16:55:11 2023 commencing relation filtering Wed Feb 08 16:55:11 2023 setting target matrix density to 130.0 Wed Feb 08 16:55:11 2023 estimated available RAM is 12041.5 MB Wed Feb 08 16:55:11 2023 commencing duplicate removal, pass 1 Wed Feb 08 16:55:29 2023 error -5 reading relation 1239724 Wed Feb 08 16:57:30 2023 error -9 reading relation 9307777 Wed Feb 08 16:58:20 2023 error -1 reading relation 12597710 Wed Feb 08 16:58:20 2023 error -15 reading relation 12604632 Wed Feb 08 16:59:20 2023 error -15 reading relation 16624082 Wed Feb 08 16:59:20 2023 error -15 reading relation 16627965 Wed Feb 08 17:00:12 2023 error -1 reading relation 20168005 Wed Feb 08 17:00:12 2023 error -9 reading relation 20170035 Wed Feb 08 17:00:41 2023 error -15 reading relation 22107959 Wed Feb 08 17:01:14 2023 error -15 reading relation 24104160 Wed Feb 08 17:03:07 2023 error -9 reading relation 31479818 Wed Feb 08 17:03:07 2023 error -9 reading relation 31482132 Wed Feb 08 17:03:28 2023 error -1 reading relation 32922885 Wed Feb 08 17:03:39 2023 error -15 reading relation 33703668 Wed Feb 08 17:04:09 2023 error -9 reading relation 35734168 Wed Feb 08 17:04:37 2023 error -15 reading relation 37759421 Wed Feb 08 17:06:50 2023 error -15 reading relation 47123736 Wed Feb 08 17:06:50 2023 error -15 reading relation 47125009 Wed Feb 08 17:08:15 2023 error -9 reading relation 52729864 Wed Feb 08 17:09:33 2023 error -9 reading relation 58484060 Wed Feb 08 17:10:13 2023 error -15 reading relation 61331889 Wed Feb 08 17:10:33 2023 error -15 reading relation 62840414 Wed Feb 08 17:10:33 2023 error -1 reading relation 62844101 Wed Feb 08 17:11:37 2023 error -9 reading relation 67426237 Wed Feb 08 17:12:53 2023 error -9 reading relation 73158946 Wed Feb 08 17:15:26 2023 error -9 reading relation 85319100 Wed Feb 08 17:15:29 2023 error -9 reading relation 85540141 Wed Feb 08 17:15:35 2023 error -15 reading relation 86002104 Wed Feb 08 17:15:53 2023 error -15 reading relation 87442102 Wed Feb 08 17:17:15 2023 error -1 reading relation 92570713 Wed Feb 08 17:17:24 2023 error -9 reading relation 93151146 Wed Feb 08 17:17:29 2023 error -5 reading relation 93499237 Wed Feb 08 17:17:31 2023 error -15 reading relation 93657342 Wed Feb 08 17:18:36 2023 error -15 reading relation 98123763 Wed Feb 08 17:18:38 2023 error -9 reading relation 98272911 Wed Feb 08 17:18:51 2023 error -9 reading relation 99184645 Wed Feb 08 17:19:01 2023 error -9 reading relation 99979125 Wed Feb 08 17:19:22 2023 error -9 reading relation 101488173 Wed Feb 08 17:19:44 2023 error -9 reading relation 103036736 Wed Feb 08 17:20:06 2023 error -5 reading relation 104580613 Wed Feb 08 17:20:18 2023 error -5 reading relation 105416104 Wed Feb 08 17:21:03 2023 error -9 reading relation 108636015 Wed Feb 08 17:21:11 2023 error -5 reading relation 109219717 Wed Feb 08 17:22:48 2023 error -15 reading relation 116007249 Wed Feb 08 17:25:47 2023 error -9 reading relation 128454723 Wed Feb 08 17:25:57 2023 error -5 reading relation 129092298 Wed Feb 08 17:25:58 2023 error -15 reading relation 129137542 Wed Feb 08 17:26:11 2023 error -1 reading relation 130017327 Wed Feb 08 17:26:48 2023 error -9 reading relation 132544885 Wed Feb 08 17:27:47 2023 error -1 reading relation 136461840 Wed Feb 08 17:28:55 2023 error -9 reading relation 141098412 Wed Feb 08 17:28:55 2023 error -9 reading relation 141099946 Wed Feb 08 17:29:40 2023 error -1 reading relation 144061752 Wed Feb 08 17:31:36 2023 error -9 reading relation 151462308 Wed Feb 08 17:32:37 2023 error -15 reading relation 155534879 Wed Feb 08 17:32:54 2023 error -15 reading relation 156665176 Wed Feb 08 17:33:16 2023 error -15 reading relation 158163794 Wed Feb 08 17:33:22 2023 error -15 reading relation 158572130 Wed Feb 08 17:34:06 2023 error -9 reading relation 161516139 Wed Feb 08 17:34:07 2023 error -15 reading relation 161579064 Wed Feb 08 17:35:00 2023 error -1 reading relation 165124925 Wed Feb 08 17:35:32 2023 error -15 reading relation 167326021 Wed Feb 08 17:35:33 2023 error -9 reading relation 167370274 Wed Feb 08 17:35:33 2023 error -9 reading relation 167377723 Wed Feb 08 17:35:37 2023 error -1 reading relation 167618717 Wed Feb 08 17:35:58 2023 error -1 reading relation 169005688 Wed Feb 08 17:35:58 2023 error -9 reading relation 169006088 Wed Feb 08 17:36:09 2023 error -1 reading relation 169770280 Wed Feb 08 17:36:11 2023 error -15 reading relation 169907249 Wed Feb 08 17:36:21 2023 error -15 reading relation 170613142 Wed Feb 08 17:37:03 2023 error -15 reading relation 173426049 Wed Feb 08 17:37:27 2023 error -9 reading relation 175058731 Wed Feb 08 17:38:01 2023 error -15 reading relation 177356896 Wed Feb 08 17:38:04 2023 error -15 reading relation 177520126 Wed Feb 08 17:38:18 2023 error -9 reading relation 178481688 Wed Feb 08 17:40:00 2023 error -1 reading relation 185467168 Wed Feb 08 17:41:51 2023 error -15 reading relation 193114405 Wed Feb 08 17:41:51 2023 error -9 reading relation 193116195 Wed Feb 08 17:46:22 2023 error -9 reading relation 212048845 Wed Feb 08 17:47:51 2023 error -9 reading relation 218206668 Wed Feb 08 17:48:27 2023 error -9 reading relation 220742235 Wed Feb 08 17:50:44 2023 error -9 reading relation 230201607 Wed Feb 08 17:51:01 2023 error -15 reading relation 231325960 Wed Feb 08 17:51:01 2023 error -9 reading relation 231333261 Wed Feb 08 17:51:01 2023 error -5 reading relation 231337023 Wed Feb 08 17:51:18 2023 error -9 reading relation 232501947 Wed Feb 08 17:51:33 2023 error -9 reading relation 233583942 Wed Feb 08 17:51:36 2023 error -9 reading relation 233793453 Wed Feb 08 17:51:43 2023 error -15 reading relation 234248772 Wed Feb 08 17:51:43 2023 error -15 reading relation 234248883 Wed Feb 08 17:51:43 2023 error -15 reading relation 234249767 Wed Feb 08 17:51:54 2023 error -15 reading relation 235041259 Wed Feb 08 17:51:56 2023 error -15 reading relation 235208637 Wed Feb 08 17:51:59 2023 error -5 reading relation 235376362 Wed Feb 08 17:51:59 2023 error -15 reading relation 235426787 Wed Feb 08 17:52:21 2023 error -5 reading relation 237034546 Wed Feb 08 17:52:47 2023 error -9 reading relation 238876311 Wed Feb 08 17:52:56 2023 error -9 reading relation 239502626 Wed Feb 08 17:53:09 2023 error -9 reading relation 240432424 Wed Feb 08 17:53:18 2023 error -15 reading relation 240994380 Wed Feb 08 17:53:27 2023 error -15 reading relation 241645492 Wed Feb 08 17:53:37 2023 error -15 reading relation 242359137 Wed Feb 08 17:53:38 2023 error -15 reading relation 242397668 Wed Feb 08 17:53:39 2023 error -15 reading relation 242482823 Wed Feb 08 17:53:46 2023 error -1 reading relation 242979982 Wed Feb 08 17:54:09 2023 error -1 reading relation 244653498 Wed Feb 08 17:54:20 2023 error -15 reading relation 245369907 Wed Feb 08 17:54:20 2023 error -15 reading relation 245372754 Wed Feb 08 17:54:22 2023 error -9 reading relation 245487253 Wed Feb 08 17:54:52 2023 error -9 reading relation 247636675 Wed Feb 08 17:54:57 2023 error -15 reading relation 247963328 Wed Feb 08 17:55:09 2023 error -15 reading relation 248861612 Wed Feb 08 17:55:19 2023 error -1 reading relation 249578778 Wed Feb 08 17:55:31 2023 error -15 reading relation 250426279 Wed Feb 08 17:55:32 2023 error -15 reading relation 250457320 Wed Feb 08 17:56:31 2023 error -1 reading relation 254758078 Wed Feb 08 17:56:32 2023 error -1 reading relation 254810278 Wed Feb 08 17:57:40 2023 error -1 reading relation 259717305 Wed Feb 08 17:57:44 2023 error -9 reading relation 260016198 Wed Feb 08 17:57:44 2023 error -9 reading relation 260050209 Wed Feb 08 17:57:44 2023 error -15 reading relation 260059429 Wed Feb 08 17:58:12 2023 error -15 reading relation 262030100 Wed Feb 08 17:58:17 2023 error -15 reading relation 262380071 Wed Feb 08 17:58:17 2023 error -9 reading relation 262403288 Wed Feb 08 17:58:17 2023 error -9 reading relation 262407141 Wed Feb 08 17:58:18 2023 error -15 reading relation 262473058 Wed Feb 08 17:58:28 2023 error -1 reading relation 263127526 Wed Feb 08 17:58:52 2023 error -1 reading relation 264894451 Wed Feb 08 17:58:56 2023 error -9 reading relation 265112542 Wed Feb 08 17:58:56 2023 skipped 69 relations with composite factors Wed Feb 08 17:58:56 2023 found 46132238 hash collisions in 265137448 relations Wed Feb 08 17:59:40 2023 added 121616 free relations Wed Feb 08 17:59:40 2023 commencing duplicate removal, pass 2 Wed Feb 08 18:05:29 2023 found 41036222 duplicates and 224222842 unique relations Wed Feb 08 18:05:29 2023 memory use: 1321.5 MB Wed Feb 08 18:05:30 2023 reading ideals above 119996416 Wed Feb 08 18:05:30 2023 commencing singleton removal, initial pass Wed Feb 08 18:46:32 2023 memory use: 5512.0 MB Wed Feb 08 18:46:32 2023 reading all ideals from disk Wed Feb 08 18:46:43 2023 memory use: 3888.3 MB Wed Feb 08 18:46:55 2023 commencing in-memory singleton removal Wed Feb 08 18:47:07 2023 begin with 224222842 relations and 167311435 unique ideals Wed Feb 08 18:49:20 2023 reduce to 165842674 relations and 104328102 ideals in 14 passes Wed Feb 08 18:49:20 2023 max relations containing the same ideal: 66 Wed Feb 08 18:49:38 2023 reading ideals above 720000 Wed Feb 08 18:49:39 2023 commencing singleton removal, initial pass Wed Feb 08 19:33:10 2023 memory use: 3012.0 MB Wed Feb 08 19:33:11 2023 reading large ideals from disk Wed Feb 08 19:37:27 2023 keeping 107404237 ideals with weight <= 20, target excess is 10607403 Wed Feb 08 19:41:28 2023 memory use: 3705.2 MB Wed Feb 08 19:41:28 2023 commencing in-memory singleton removal Wed Feb 08 19:41:37 2023 begin with 165842674 relations and 107404237 unique ideals Wed Feb 08 19:42:26 2023 reduce to 165842560 relations and 107404123 ideals in 5 passes Wed Feb 08 19:42:26 2023 max relations containing the same ideal: 20 Wed Feb 08 19:43:25 2023 removing 8562733 relations and 6562733 ideals in 2000000 cliques Wed Feb 08 19:43:30 2023 commencing in-memory singleton removal Wed Feb 08 19:43:39 2023 begin with 157279827 relations and 107404123 unique ideals Wed Feb 08 19:44:51 2023 reduce to 156874247 relations and 100429286 ideals in 8 passes Wed Feb 08 19:44:51 2023 max relations containing the same ideal: 20 Wed Feb 08 19:45:47 2023 removing 6661205 relations and 4661205 ideals in 2000000 cliques Wed Feb 08 19:45:52 2023 commencing in-memory singleton removal Wed Feb 08 19:46:00 2023 begin with 150213042 relations and 100429286 unique ideals Wed Feb 08 19:46:52 2023 reduce to 149944913 relations and 95496251 ideals in 7 passes Wed Feb 08 19:46:52 2023 max relations containing the same ideal: 20 Wed Feb 08 19:47:41 2023 removing 6151188 relations and 4151188 ideals in 2000000 cliques Wed Feb 08 19:47:44 2023 commencing in-memory singleton removal Wed Feb 08 19:47:52 2023 begin with 143793725 relations and 95496251 unique ideals Wed Feb 08 19:48:42 2023 reduce to 143566815 relations and 91115062 ideals in 7 passes Wed Feb 08 19:48:42 2023 max relations containing the same ideal: 20 Wed Feb 08 19:49:29 2023 removing 5871435 relations and 3871435 ideals in 2000000 cliques Wed Feb 08 19:49:32 2023 commencing in-memory singleton removal Wed Feb 08 19:49:40 2023 begin with 137695380 relations and 91115062 unique ideals Wed Feb 08 19:50:20 2023 reduce to 137484559 relations and 87029840 ideals in 6 passes Wed Feb 08 19:50:20 2023 max relations containing the same ideal: 20 Wed Feb 08 19:51:06 2023 removing 5702210 relations and 3702210 ideals in 2000000 cliques Wed Feb 08 19:51:09 2023 commencing in-memory singleton removal Wed Feb 08 19:51:16 2023 begin with 131782349 relations and 87029840 unique ideals Wed Feb 08 19:52:00 2023 reduce to 131583741 relations and 83126184 ideals in 7 passes Wed Feb 08 19:52:00 2023 max relations containing the same ideal: 20 Wed Feb 08 19:52:43 2023 removing 5612761 relations and 3612761 ideals in 2000000 cliques Wed Feb 08 19:52:47 2023 commencing in-memory singleton removal Wed Feb 08 19:52:53 2023 begin with 125970980 relations and 83126184 unique ideals Wed Feb 08 19:53:29 2023 reduce to 125789843 relations and 79329564 ideals in 6 passes Wed Feb 08 19:53:29 2023 max relations containing the same ideal: 20 Wed Feb 08 19:54:11 2023 removing 5483585 relations and 3483585 ideals in 2000000 cliques Wed Feb 08 19:54:14 2023 commencing in-memory singleton removal Wed Feb 08 19:54:20 2023 begin with 120306258 relations and 79329564 unique ideals Wed Feb 08 19:54:55 2023 reduce to 120112810 relations and 75649382 ideals in 6 passes Wed Feb 08 19:54:55 2023 max relations containing the same ideal: 20 Wed Feb 08 19:55:35 2023 removing 5449919 relations and 3449919 ideals in 2000000 cliques Wed Feb 08 19:55:38 2023 commencing in-memory singleton removal Wed Feb 08 19:55:43 2023 begin with 114662891 relations and 75649382 unique ideals Wed Feb 08 19:56:21 2023 reduce to 114483102 relations and 72016679 ideals in 7 passes Wed Feb 08 19:56:21 2023 max relations containing the same ideal: 20 Wed Feb 08 19:56:59 2023 removing 5371920 relations and 3371920 ideals in 2000000 cliques Wed Feb 08 19:57:02 2023 commencing in-memory singleton removal Wed Feb 08 19:57:07 2023 begin with 109111182 relations and 72016679 unique ideals Wed Feb 08 19:57:37 2023 reduce to 108935514 relations and 68466228 ideals in 6 passes Wed Feb 08 19:57:37 2023 max relations containing the same ideal: 20 Wed Feb 08 19:58:14 2023 removing 5292501 relations and 3292501 ideals in 2000000 cliques Wed Feb 08 19:58:17 2023 commencing in-memory singleton removal Wed Feb 08 19:58:22 2023 begin with 103643013 relations and 68466228 unique ideals Wed Feb 08 19:58:50 2023 reduce to 103442639 relations and 64969619 ideals in 6 passes Wed Feb 08 19:58:50 2023 max relations containing the same ideal: 20 Wed Feb 08 19:59:24 2023 removing 5311793 relations and 3311793 ideals in 2000000 cliques Wed Feb 08 19:59:27 2023 commencing in-memory singleton removal Wed Feb 08 19:59:32 2023 begin with 98130846 relations and 64969619 unique ideals Wed Feb 08 19:59:59 2023 reduce to 97948950 relations and 61472497 ideals in 6 passes Wed Feb 08 19:59:59 2023 max relations containing the same ideal: 20 Wed Feb 08 20:00:32 2023 removing 5230831 relations and 3230831 ideals in 2000000 cliques Wed Feb 08 20:00:34 2023 commencing in-memory singleton removal Wed Feb 08 20:00:39 2023 begin with 92718119 relations and 61472497 unique ideals Wed Feb 08 20:01:08 2023 reduce to 92517591 relations and 58037093 ideals in 7 passes Wed Feb 08 20:01:08 2023 max relations containing the same ideal: 20 Wed Feb 08 20:01:38 2023 removing 5252341 relations and 3252341 ideals in 2000000 cliques Wed Feb 08 20:01:41 2023 commencing in-memory singleton removal Wed Feb 08 20:01:45 2023 begin with 87265250 relations and 58037093 unique ideals Wed Feb 08 20:02:12 2023 reduce to 87070648 relations and 54585990 ideals in 7 passes Wed Feb 08 20:02:12 2023 max relations containing the same ideal: 20 Wed Feb 08 20:02:41 2023 removing 5191763 relations and 3191763 ideals in 2000000 cliques Wed Feb 08 20:02:44 2023 commencing in-memory singleton removal Wed Feb 08 20:02:47 2023 begin with 81878885 relations and 54585990 unique ideals Wed Feb 08 20:03:13 2023 reduce to 81661386 relations and 51171823 ideals in 7 passes Wed Feb 08 20:03:13 2023 max relations containing the same ideal: 20 Wed Feb 08 20:03:40 2023 removing 5225570 relations and 3225570 ideals in 2000000 cliques Wed Feb 08 20:03:42 2023 commencing in-memory singleton removal Wed Feb 08 20:03:46 2023 begin with 76435816 relations and 51171823 unique ideals Wed Feb 08 20:04:08 2023 reduce to 76215214 relations and 47720573 ideals in 7 passes Wed Feb 08 20:04:08 2023 max relations containing the same ideal: 19 Wed Feb 08 20:04:34 2023 removing 5166031 relations and 3166031 ideals in 2000000 cliques Wed Feb 08 20:04:36 2023 commencing in-memory singleton removal Wed Feb 08 20:04:40 2023 begin with 71049183 relations and 47720573 unique ideals Wed Feb 08 20:05:01 2023 reduce to 70799989 relations and 44299177 ideals in 7 passes Wed Feb 08 20:05:01 2023 max relations containing the same ideal: 19 Wed Feb 08 20:05:25 2023 removing 5222852 relations and 3222852 ideals in 2000000 cliques Wed Feb 08 20:05:27 2023 commencing in-memory singleton removal Wed Feb 08 20:05:30 2023 begin with 65577137 relations and 44299177 unique ideals Wed Feb 08 20:05:49 2023 reduce to 65309475 relations and 40801404 ideals in 7 passes Wed Feb 08 20:05:49 2023 max relations containing the same ideal: 19 Wed Feb 08 20:06:11 2023 removing 5213835 relations and 3213835 ideals in 2000000 cliques Wed Feb 08 20:06:13 2023 commencing in-memory singleton removal Wed Feb 08 20:06:15 2023 begin with 60095640 relations and 40801404 unique ideals Wed Feb 08 20:06:33 2023 reduce to 59819961 relations and 37304046 ideals in 7 passes Wed Feb 08 20:06:33 2023 max relations containing the same ideal: 19 Wed Feb 08 20:06:52 2023 removing 5248956 relations and 3248956 ideals in 2000000 cliques Wed Feb 08 20:06:54 2023 commencing in-memory singleton removal Wed Feb 08 20:06:57 2023 begin with 54571005 relations and 37304046 unique ideals Wed Feb 08 20:07:12 2023 reduce to 54269058 relations and 33744269 ideals in 7 passes Wed Feb 08 20:07:12 2023 max relations containing the same ideal: 18 Wed Feb 08 20:07:30 2023 removing 5288344 relations and 3288344 ideals in 2000000 cliques Wed Feb 08 20:07:32 2023 commencing in-memory singleton removal Wed Feb 08 20:07:34 2023 begin with 48980714 relations and 33744269 unique ideals Wed Feb 08 20:07:47 2023 reduce to 48669644 relations and 30135558 ideals in 7 passes Wed Feb 08 20:07:47 2023 max relations containing the same ideal: 16 Wed Feb 08 20:08:03 2023 removing 5275014 relations and 3275014 ideals in 2000000 cliques Wed Feb 08 20:08:05 2023 commencing in-memory singleton removal Wed Feb 08 20:08:07 2023 begin with 43394630 relations and 30135558 unique ideals Wed Feb 08 20:08:18 2023 reduce to 42903704 relations and 26349877 ideals in 7 passes Wed Feb 08 20:08:18 2023 max relations containing the same ideal: 16 Wed Feb 08 20:08:32 2023 removing 5354451 relations and 3354451 ideals in 2000000 cliques Wed Feb 08 20:08:34 2023 commencing in-memory singleton removal Wed Feb 08 20:08:36 2023 begin with 37549253 relations and 26349877 unique ideals Wed Feb 08 20:08:48 2023 reduce to 37073738 relations and 22498588 ideals in 9 passes Wed Feb 08 20:08:48 2023 max relations containing the same ideal: 15 Wed Feb 08 20:09:00 2023 removing 5370248 relations and 3370248 ideals in 2000000 cliques Wed Feb 08 20:09:02 2023 commencing in-memory singleton removal Wed Feb 08 20:09:03 2023 begin with 31703490 relations and 22498588 unique ideals Wed Feb 08 20:09:12 2023 reduce to 31091024 relations and 18482575 ideals in 9 passes Wed Feb 08 20:09:12 2023 max relations containing the same ideal: 15 Wed Feb 08 20:09:23 2023 removing 822209 relations and 518348 ideals in 303861 cliques Wed Feb 08 20:09:23 2023 commencing in-memory singleton removal Wed Feb 08 20:09:24 2023 begin with 30268815 relations and 18482575 unique ideals Wed Feb 08 20:09:32 2023 reduce to 30214315 relations and 17908963 ideals in 7 passes Wed Feb 08 20:09:32 2023 max relations containing the same ideal: 15 Wed Feb 08 20:09:43 2023 relations with 0 large ideals: 3147071 Wed Feb 08 20:09:43 2023 relations with 1 large ideals: 11662814 Wed Feb 08 20:09:43 2023 relations with 2 large ideals: 11780033 Wed Feb 08 20:09:43 2023 relations with 3 large ideals: 3327533 Wed Feb 08 20:09:43 2023 relations with 4 large ideals: 282729 Wed Feb 08 20:09:43 2023 relations with 5 large ideals: 12379 Wed Feb 08 20:09:43 2023 relations with 6 large ideals: 1756 Wed Feb 08 20:09:43 2023 relations with 7+ large ideals: 0 Wed Feb 08 20:09:43 2023 commencing 2-way merge Wed Feb 08 20:09:56 2023 reduce to 18322927 relation sets and 6017575 unique ideals Wed Feb 08 20:09:56 2023 commencing full merge Wed Feb 08 20:10:37 2023 memory use: 659.2 MB Wed Feb 08 20:10:42 2023 found 12305055 cycles, need 10607603 Wed Feb 08 20:10:44 2023 weight of 10607603 cycles is about 496571908 (46.81/cycle) Wed Feb 08 20:10:44 2023 distribution of cycle lengths: Wed Feb 08 20:10:44 2023 1 relations: 3147071 Wed Feb 08 20:10:44 2023 2 relations: 1719622 Wed Feb 08 20:10:44 2023 3 relations: 1482767 Wed Feb 08 20:10:44 2023 4 relations: 1317320 Wed Feb 08 20:10:44 2023 5 relations: 1135582 Wed Feb 08 20:10:44 2023 6 relations: 892730 Wed Feb 08 20:10:44 2023 7 relations: 672101 Wed Feb 08 20:10:44 2023 8 relations: 239615 Wed Feb 08 20:10:44 2023 9 relations: 795 Wed Feb 08 20:10:44 2023 10+ relations: 0 Wed Feb 08 20:10:44 2023 heaviest cycle: 9 relations Wed Feb 08 20:10:44 2023 matrix not dense enough, retrying Wed Feb 08 20:10:46 2023 reading large ideals from disk Wed Feb 08 20:14:26 2023 keeping 108209400 ideals with weight <= 25, target excess is 9802240 Wed Feb 08 20:18:12 2023 memory use: 3705.2 MB Wed Feb 08 20:18:12 2023 commencing in-memory singleton removal Wed Feb 08 20:18:21 2023 begin with 165842674 relations and 108209400 unique ideals Wed Feb 08 20:19:04 2023 reduce to 165842560 relations and 108209286 ideals in 5 passes Wed Feb 08 20:19:04 2023 max relations containing the same ideal: 25 Wed Feb 08 20:20:00 2023 removing 8607595 relations and 6607595 ideals in 2000000 cliques Wed Feb 08 20:20:04 2023 commencing in-memory singleton removal Wed Feb 08 20:20:13 2023 begin with 157234965 relations and 108209286 unique ideals Wed Feb 08 20:21:17 2023 reduce to 156832397 relations and 101192676 ideals in 8 passes Wed Feb 08 20:21:17 2023 max relations containing the same ideal: 25 Wed Feb 08 20:22:09 2023 removing 6679626 relations and 4679626 ideals in 2000000 cliques Wed Feb 08 20:22:13 2023 commencing in-memory singleton removal Wed Feb 08 20:22:22 2023 begin with 150152771 relations and 101192676 unique ideals Wed Feb 08 20:23:15 2023 reduce to 149884235 relations and 96240875 ideals in 7 passes Wed Feb 08 20:23:15 2023 max relations containing the same ideal: 25 Wed Feb 08 20:24:05 2023 removing 6167501 relations and 4167501 ideals in 2000000 cliques Wed Feb 08 20:24:09 2023 commencing in-memory singleton removal Wed Feb 08 20:24:17 2023 begin with 143716734 relations and 96240875 unique ideals Wed Feb 08 20:25:08 2023 reduce to 143490309 relations and 91843863 ideals in 7 passes Wed Feb 08 20:25:08 2023 max relations containing the same ideal: 25 Wed Feb 08 20:25:56 2023 removing 5904623 relations and 3904623 ideals in 2000000 cliques Wed Feb 08 20:26:00 2023 commencing in-memory singleton removal Wed Feb 08 20:26:07 2023 begin with 137585686 relations and 91843863 unique ideals Wed Feb 08 20:26:48 2023 reduce to 137378859 relations and 87729527 ideals in 6 passes Wed Feb 08 20:26:48 2023 max relations containing the same ideal: 25 Wed Feb 08 20:27:35 2023 removing 5717443 relations and 3717443 ideals in 2000000 cliques Wed Feb 08 20:27:38 2023 commencing in-memory singleton removal Wed Feb 08 20:27:46 2023 begin with 131661416 relations and 87729527 unique ideals Wed Feb 08 20:28:31 2023 reduce to 131466242 relations and 83814108 ideals in 7 passes Wed Feb 08 20:28:31 2023 max relations containing the same ideal: 25 Wed Feb 08 20:29:15 2023 removing 5591491 relations and 3591491 ideals in 2000000 cliques Wed Feb 08 20:29:19 2023 commencing in-memory singleton removal Wed Feb 08 20:29:25 2023 begin with 125874751 relations and 83814108 unique ideals Wed Feb 08 20:30:03 2023 reduce to 125687813 relations and 80032839 ideals in 6 passes Wed Feb 08 20:30:03 2023 max relations containing the same ideal: 25 Wed Feb 08 20:30:46 2023 removing 5502572 relations and 3502572 ideals in 2000000 cliques Wed Feb 08 20:30:49 2023 commencing in-memory singleton removal Wed Feb 08 20:30:55 2023 begin with 120185241 relations and 80032839 unique ideals Wed Feb 08 20:31:36 2023 reduce to 119995489 relations and 76337391 ideals in 7 passes Wed Feb 08 20:31:36 2023 max relations containing the same ideal: 25 Wed Feb 08 20:32:17 2023 removing 5449162 relations and 3449162 ideals in 2000000 cliques Wed Feb 08 20:32:20 2023 commencing in-memory singleton removal Wed Feb 08 20:32:26 2023 begin with 114546327 relations and 76337391 unique ideals Wed Feb 08 20:32:59 2023 reduce to 114363888 relations and 72702782 ideals in 6 passes Wed Feb 08 20:32:59 2023 max relations containing the same ideal: 25 Wed Feb 08 20:33:39 2023 removing 5386871 relations and 3386871 ideals in 2000000 cliques Wed Feb 08 20:33:42 2023 commencing in-memory singleton removal Wed Feb 08 20:33:47 2023 begin with 108977017 relations and 72702782 unique ideals Wed Feb 08 20:34:18 2023 reduce to 108800199 relations and 69136181 ideals in 6 passes Wed Feb 08 20:34:18 2023 max relations containing the same ideal: 25 Wed Feb 08 20:34:56 2023 removing 5328149 relations and 3328149 ideals in 2000000 cliques Wed Feb 08 20:34:59 2023 commencing in-memory singleton removal Wed Feb 08 20:35:04 2023 begin with 103472050 relations and 69136181 unique ideals Wed Feb 08 20:35:33 2023 reduce to 103285212 relations and 65617780 ideals in 6 passes Wed Feb 08 20:35:33 2023 max relations containing the same ideal: 25 Wed Feb 08 20:36:08 2023 removing 5281287 relations and 3281287 ideals in 2000000 cliques Wed Feb 08 20:36:11 2023 commencing in-memory singleton removal Wed Feb 08 20:36:16 2023 begin with 98003925 relations and 65617780 unique ideals Wed Feb 08 20:36:44 2023 reduce to 97810665 relations and 62139400 ideals in 6 passes Wed Feb 08 20:36:44 2023 max relations containing the same ideal: 25 Wed Feb 08 20:37:18 2023 removing 5276386 relations and 3276386 ideals in 2000000 cliques Wed Feb 08 20:37:21 2023 commencing in-memory singleton removal Wed Feb 08 20:37:25 2023 begin with 92534279 relations and 62139400 unique ideals Wed Feb 08 20:37:51 2023 reduce to 92346339 relations and 58671407 ideals in 6 passes Wed Feb 08 20:37:51 2023 max relations containing the same ideal: 24 Wed Feb 08 20:38:23 2023 removing 5226117 relations and 3226117 ideals in 2000000 cliques Wed Feb 08 20:38:25 2023 commencing in-memory singleton removal Wed Feb 08 20:38:30 2023 begin with 87120222 relations and 58671407 unique ideals Wed Feb 08 20:38:54 2023 reduce to 86912571 relations and 55233250 ideals in 6 passes Wed Feb 08 20:38:54 2023 max relations containing the same ideal: 24 Wed Feb 08 20:39:24 2023 removing 5247262 relations and 3247262 ideals in 2000000 cliques Wed Feb 08 20:39:26 2023 commencing in-memory singleton removal Wed Feb 08 20:39:30 2023 begin with 81665309 relations and 55233250 unique ideals Wed Feb 08 20:39:56 2023 reduce to 81464555 relations and 51780720 ideals in 7 passes Wed Feb 08 20:39:56 2023 max relations containing the same ideal: 23 Wed Feb 08 20:40:24 2023 removing 5172550 relations and 3172550 ideals in 2000000 cliques Wed Feb 08 20:40:27 2023 commencing in-memory singleton removal Wed Feb 08 20:40:30 2023 begin with 76292005 relations and 51780720 unique ideals Wed Feb 08 20:40:51 2023 reduce to 76059618 relations and 48370250 ideals in 6 passes Wed Feb 08 20:40:51 2023 max relations containing the same ideal: 23 Wed Feb 08 20:41:17 2023 removing 5220877 relations and 3220877 ideals in 2000000 cliques Wed Feb 08 20:41:19 2023 commencing in-memory singleton removal Wed Feb 08 20:41:23 2023 begin with 70838741 relations and 48370250 unique ideals Wed Feb 08 20:41:41 2023 reduce to 70598726 relations and 44903519 ideals in 6 passes Wed Feb 08 20:41:41 2023 max relations containing the same ideal: 22 Wed Feb 08 20:42:05 2023 removing 5215205 relations and 3215205 ideals in 2000000 cliques Wed Feb 08 20:42:08 2023 commencing in-memory singleton removal Wed Feb 08 20:42:11 2023 begin with 65383521 relations and 44903519 unique ideals Wed Feb 08 20:42:28 2023 reduce to 65127232 relations and 41425147 ideals in 6 passes Wed Feb 08 20:42:28 2023 max relations containing the same ideal: 21 Wed Feb 08 20:42:52 2023 removing 5210128 relations and 3210128 ideals in 2000000 cliques Wed Feb 08 20:42:55 2023 commencing in-memory singleton removal Wed Feb 08 20:42:58 2023 begin with 59917104 relations and 41425147 unique ideals Wed Feb 08 20:43:22 2023 reduce to 59629503 relations and 37919000 ideals in 9 passes Wed Feb 08 20:43:22 2023 max relations containing the same ideal: 21 Wed Feb 08 20:43:44 2023 removing 5235949 relations and 3235949 ideals in 2000000 cliques Wed Feb 08 20:43:47 2023 commencing in-memory singleton removal Wed Feb 08 20:43:49 2023 begin with 54393554 relations and 37919000 unique ideals Wed Feb 08 20:44:09 2023 reduce to 54075812 relations and 34355395 ideals in 8 passes Wed Feb 08 20:44:09 2023 max relations containing the same ideal: 21 Wed Feb 08 20:44:30 2023 removing 5279255 relations and 3279255 ideals in 2000000 cliques Wed Feb 08 20:44:33 2023 commencing in-memory singleton removal Wed Feb 08 20:44:35 2023 begin with 48796557 relations and 34355395 unique ideals Wed Feb 08 20:44:50 2023 reduce to 48453293 relations and 30721497 ideals in 7 passes Wed Feb 08 20:44:50 2023 max relations containing the same ideal: 19 Wed Feb 08 20:45:08 2023 removing 5336589 relations and 3336589 ideals in 2000000 cliques Wed Feb 08 20:45:10 2023 commencing in-memory singleton removal Wed Feb 08 20:45:12 2023 begin with 43116704 relations and 30721497 unique ideals Wed Feb 08 20:45:27 2023 reduce to 42748277 relations and 27003674 ideals in 8 passes Wed Feb 08 20:45:27 2023 max relations containing the same ideal: 19 Wed Feb 08 20:45:44 2023 removing 5375887 relations and 3375887 ideals in 2000000 cliques Wed Feb 08 20:45:47 2023 commencing in-memory singleton removal Wed Feb 08 20:45:48 2023 begin with 37372390 relations and 27003674 unique ideals Wed Feb 08 20:46:02 2023 reduce to 36853699 relations and 23086601 ideals in 8 passes Wed Feb 08 20:46:02 2023 max relations containing the same ideal: 17 Wed Feb 08 20:46:16 2023 removing 5442299 relations and 3442299 ideals in 2000000 cliques Wed Feb 08 20:46:18 2023 commencing in-memory singleton removal Wed Feb 08 20:46:19 2023 begin with 31411400 relations and 23086601 unique ideals Wed Feb 08 20:46:30 2023 reduce to 30831798 relations and 19034801 ideals in 8 passes Wed Feb 08 20:46:30 2023 max relations containing the same ideal: 16 Wed Feb 08 20:46:41 2023 removing 1181494 relations and 755096 ideals in 426398 cliques Wed Feb 08 20:46:42 2023 commencing in-memory singleton removal Wed Feb 08 20:46:43 2023 begin with 29650304 relations and 19034801 unique ideals Wed Feb 08 20:46:52 2023 reduce to 29562868 relations and 18190878 ideals in 8 passes Wed Feb 08 20:46:52 2023 max relations containing the same ideal: 16 Wed Feb 08 20:47:05 2023 relations with 0 large ideals: 2596071 Wed Feb 08 20:47:05 2023 relations with 1 large ideals: 10466668 Wed Feb 08 20:47:05 2023 relations with 2 large ideals: 11906518 Wed Feb 08 20:47:05 2023 relations with 3 large ideals: 4093290 Wed Feb 08 20:47:05 2023 relations with 4 large ideals: 469447 Wed Feb 08 20:47:05 2023 relations with 5 large ideals: 28372 Wed Feb 08 20:47:05 2023 relations with 6 large ideals: 2502 Wed Feb 08 20:47:05 2023 relations with 7+ large ideals: 0 Wed Feb 08 20:47:05 2023 commencing 2-way merge Wed Feb 08 20:47:20 2023 reduce to 18059457 relation sets and 6687467 unique ideals Wed Feb 08 20:47:20 2023 commencing full merge Wed Feb 08 20:48:20 2023 memory use: 698.1 MB Wed Feb 08 20:48:25 2023 found 11368024 cycles, need 9802440 Wed Feb 08 20:48:27 2023 weight of 9802440 cycles is about 547636286 (55.87/cycle) Wed Feb 08 20:48:27 2023 distribution of cycle lengths: Wed Feb 08 20:48:27 2023 1 relations: 2596071 Wed Feb 08 20:48:27 2023 2 relations: 1376295 Wed Feb 08 20:48:27 2023 3 relations: 1148676 Wed Feb 08 20:48:27 2023 4 relations: 1057432 Wed Feb 08 20:48:27 2023 5 relations: 968560 Wed Feb 08 20:48:27 2023 6 relations: 838027 Wed Feb 08 20:48:27 2023 7 relations: 711133 Wed Feb 08 20:48:27 2023 8 relations: 555559 Wed Feb 08 20:48:27 2023 9 relations: 425844 Wed Feb 08 20:48:27 2023 10+ relations: 124843 Wed Feb 08 20:48:27 2023 heaviest cycle: 12 relations Wed Feb 08 20:48:27 2023 matrix not dense enough, retrying Wed Feb 08 20:48:29 2023 reading large ideals from disk Wed Feb 08 20:52:46 2023 keeping 108741075 ideals with weight <= 30, target excess is 9270565 Wed Feb 08 20:56:54 2023 memory use: 3705.2 MB Wed Feb 08 20:56:54 2023 commencing in-memory singleton removal Wed Feb 08 20:57:04 2023 begin with 165842674 relations and 108741075 unique ideals Wed Feb 08 20:57:50 2023 reduce to 165842560 relations and 108740961 ideals in 5 passes Wed Feb 08 20:57:50 2023 max relations containing the same ideal: 30 Wed Feb 08 20:58:48 2023 removing 8631601 relations and 6631601 ideals in 2000000 cliques Wed Feb 08 20:58:53 2023 commencing in-memory singleton removal Wed Feb 08 20:59:03 2023 begin with 157210959 relations and 108740961 unique ideals Wed Feb 08 21:00:11 2023 reduce to 156809767 relations and 101701679 ideals in 8 passes Wed Feb 08 21:00:11 2023 max relations containing the same ideal: 30 Wed Feb 08 21:01:07 2023 removing 6687486 relations and 4687486 ideals in 2000000 cliques Wed Feb 08 21:01:11 2023 commencing in-memory singleton removal Wed Feb 08 21:01:20 2023 begin with 150122281 relations and 101701679 unique ideals Wed Feb 08 21:02:16 2023 reduce to 149852854 relations and 96741083 ideals in 7 passes Wed Feb 08 21:02:16 2023 max relations containing the same ideal: 30 Wed Feb 08 21:03:09 2023 removing 6183127 relations and 4183127 ideals in 2000000 cliques Wed Feb 08 21:03:14 2023 commencing in-memory singleton removal Wed Feb 08 21:03:22 2023 begin with 143669727 relations and 96741083 unique ideals Wed Feb 08 21:04:15 2023 reduce to 143444240 relations and 92329351 ideals in 7 passes Wed Feb 08 21:04:15 2023 max relations containing the same ideal: 30 Wed Feb 08 21:05:07 2023 removing 5921511 relations and 3921511 ideals in 2000000 cliques Wed Feb 08 21:05:11 2023 commencing in-memory singleton removal Wed Feb 08 21:05:18 2023 begin with 137522729 relations and 92329351 unique ideals Wed Feb 08 21:06:10 2023 reduce to 137318728 relations and 88201031 ideals in 7 passes Wed Feb 08 21:06:10 2023 max relations containing the same ideal: 30 Wed Feb 08 21:06:59 2023 removing 5717940 relations and 3717940 ideals in 2000000 cliques Wed Feb 08 21:07:02 2023 commencing in-memory singleton removal Wed Feb 08 21:07:10 2023 begin with 131600788 relations and 88201031 unique ideals Wed Feb 08 21:07:59 2023 reduce to 131404651 relations and 84284099 ideals in 7 passes Wed Feb 08 21:07:59 2023 max relations containing the same ideal: 30 Wed Feb 08 21:08:46 2023 removing 5623125 relations and 3623125 ideals in 2000000 cliques Wed Feb 08 21:08:50 2023 commencing in-memory singleton removal Wed Feb 08 21:08:57 2023 begin with 125781526 relations and 84284099 unique ideals Wed Feb 08 21:09:37 2023 reduce to 125593825 relations and 80470486 ideals in 6 passes Wed Feb 08 21:09:37 2023 max relations containing the same ideal: 30 Wed Feb 08 21:10:22 2023 removing 5525729 relations and 3525729 ideals in 2000000 cliques Wed Feb 08 21:10:26 2023 commencing in-memory singleton removal Wed Feb 08 21:10:32 2023 begin with 120068096 relations and 80470486 unique ideals Wed Feb 08 21:11:10 2023 reduce to 119888596 relations and 76762506 ideals in 6 passes Wed Feb 08 21:11:10 2023 max relations containing the same ideal: 30 Wed Feb 08 21:11:53 2023 removing 5425720 relations and 3425720 ideals in 2000000 cliques Wed Feb 08 21:11:56 2023 commencing in-memory singleton removal Wed Feb 08 21:12:03 2023 begin with 114462876 relations and 76762506 unique ideals Wed Feb 08 21:12:38 2023 reduce to 114275827 relations and 73146507 ideals in 6 passes Wed Feb 08 21:12:38 2023 max relations containing the same ideal: 30 Wed Feb 08 21:13:20 2023 removing 5392501 relations and 3392501 ideals in 2000000 cliques Wed Feb 08 21:13:24 2023 commencing in-memory singleton removal Wed Feb 08 21:13:30 2023 begin with 108883326 relations and 73146507 unique ideals Wed Feb 08 21:14:03 2023 reduce to 108701184 relations and 69568697 ideals in 6 passes Wed Feb 08 21:14:03 2023 max relations containing the same ideal: 29 Wed Feb 08 21:14:42 2023 removing 5345789 relations and 3345789 ideals in 2000000 cliques Wed Feb 08 21:14:46 2023 commencing in-memory singleton removal Wed Feb 08 21:14:51 2023 begin with 103355395 relations and 69568697 unique ideals Wed Feb 08 21:15:22 2023 reduce to 103178619 relations and 66042991 ideals in 6 passes Wed Feb 08 21:15:22 2023 max relations containing the same ideal: 29 Wed Feb 08 21:16:00 2023 removing 5266343 relations and 3266343 ideals in 2000000 cliques Wed Feb 08 21:16:03 2023 commencing in-memory singleton removal Wed Feb 08 21:16:08 2023 begin with 97912276 relations and 66042991 unique ideals Wed Feb 08 21:16:37 2023 reduce to 97712158 relations and 62572515 ideals in 6 passes Wed Feb 08 21:16:37 2023 max relations containing the same ideal: 29 Wed Feb 08 21:17:13 2023 removing 5271556 relations and 3271556 ideals in 2000000 cliques Wed Feb 08 21:17:16 2023 commencing in-memory singleton removal Wed Feb 08 21:17:20 2023 begin with 92440602 relations and 62572515 unique ideals Wed Feb 08 21:17:48 2023 reduce to 92250974 relations and 59107621 ideals in 6 passes Wed Feb 08 21:17:48 2023 max relations containing the same ideal: 28 Wed Feb 08 21:18:22 2023 removing 5265003 relations and 3265003 ideals in 2000000 cliques Wed Feb 08 21:18:25 2023 commencing in-memory singleton removal Wed Feb 08 21:18:29 2023 begin with 86985971 relations and 59107621 unique ideals Wed Feb 08 21:18:54 2023 reduce to 86790386 relations and 55642897 ideals in 6 passes Wed Feb 08 21:18:54 2023 max relations containing the same ideal: 27 Wed Feb 08 21:19:29 2023 removing 5220197 relations and 3220197 ideals in 2000000 cliques Wed Feb 08 21:19:32 2023 commencing in-memory singleton removal Wed Feb 08 21:19:36 2023 begin with 81570189 relations and 55642897 unique ideals Wed Feb 08 21:20:09 2023 reduce to 81357311 relations and 52205113 ideals in 7 passes Wed Feb 08 21:20:09 2023 max relations containing the same ideal: 27 Wed Feb 08 21:20:41 2023 removing 5216056 relations and 3216056 ideals in 2000000 cliques Wed Feb 08 21:20:44 2023 commencing in-memory singleton removal Wed Feb 08 21:20:48 2023 begin with 76141255 relations and 52205113 unique ideals Wed Feb 08 21:21:16 2023 reduce to 75922135 relations and 48764915 ideals in 7 passes Wed Feb 08 21:21:16 2023 max relations containing the same ideal: 27 Wed Feb 08 21:21:45 2023 removing 5196438 relations and 3196438 ideals in 2000000 cliques Wed Feb 08 21:21:48 2023 commencing in-memory singleton removal Wed Feb 08 21:21:52 2023 begin with 70725697 relations and 48764915 unique ideals Wed Feb 08 21:22:15 2023 reduce to 70482009 relations and 45318674 ideals in 6 passes Wed Feb 08 21:22:15 2023 max relations containing the same ideal: 27 Wed Feb 08 21:22:43 2023 removing 5225869 relations and 3225869 ideals in 2000000 cliques Wed Feb 08 21:22:46 2023 commencing in-memory singleton removal Wed Feb 08 21:22:49 2023 begin with 65256140 relations and 45318674 unique ideals Wed Feb 08 21:23:13 2023 reduce to 65000050 relations and 41829957 ideals in 7 passes Wed Feb 08 21:23:13 2023 max relations containing the same ideal: 26 Wed Feb 08 21:23:38 2023 removing 5233208 relations and 3233208 ideals in 2000000 cliques Wed Feb 08 21:23:41 2023 commencing in-memory singleton removal Wed Feb 08 21:23:44 2023 begin with 59766842 relations and 41829957 unique ideals Wed Feb 08 21:24:11 2023 reduce to 59489733 relations and 38311884 ideals in 9 passes Wed Feb 08 21:24:11 2023 max relations containing the same ideal: 24 Wed Feb 08 21:24:35 2023 removing 5239146 relations and 3239146 ideals in 2000000 cliques Wed Feb 08 21:24:37 2023 commencing in-memory singleton removal Wed Feb 08 21:24:40 2023 begin with 54250587 relations and 38311884 unique ideals Wed Feb 08 21:24:58 2023 reduce to 53936803 relations and 34749250 ideals in 8 passes Wed Feb 08 21:24:58 2023 max relations containing the same ideal: 23 Wed Feb 08 21:25:17 2023 removing 5274520 relations and 3274520 ideals in 2000000 cliques Wed Feb 08 21:25:19 2023 commencing in-memory singleton removal Wed Feb 08 21:25:21 2023 begin with 48662283 relations and 34749250 unique ideals Wed Feb 08 21:25:36 2023 reduce to 48305700 relations and 31106024 ideals in 7 passes Wed Feb 08 21:25:36 2023 max relations containing the same ideal: 23 Wed Feb 08 21:25:53 2023 removing 5326857 relations and 3326857 ideals in 2000000 cliques Wed Feb 08 21:25:55 2023 commencing in-memory singleton removal Wed Feb 08 21:25:57 2023 begin with 42978843 relations and 31106024 unique ideals Wed Feb 08 21:26:09 2023 reduce to 42583650 relations and 27369427 ideals in 7 passes Wed Feb 08 21:26:09 2023 max relations containing the same ideal: 22 Wed Feb 08 21:26:25 2023 removing 5407377 relations and 3407377 ideals in 2000000 cliques Wed Feb 08 21:26:27 2023 commencing in-memory singleton removal Wed Feb 08 21:26:29 2023 begin with 37176273 relations and 27369427 unique ideals Wed Feb 08 21:26:40 2023 reduce to 36740138 relations and 23508792 ideals in 8 passes Wed Feb 08 21:26:40 2023 max relations containing the same ideal: 19 Wed Feb 08 21:26:53 2023 removing 5427105 relations and 3427105 ideals in 2000000 cliques Wed Feb 08 21:26:55 2023 commencing in-memory singleton removal Wed Feb 08 21:26:56 2023 begin with 31313033 relations and 23508792 unique ideals Wed Feb 08 21:27:06 2023 reduce to 30671734 relations and 19406461 ideals in 8 passes Wed Feb 08 21:27:06 2023 max relations containing the same ideal: 18 Wed Feb 08 21:27:17 2023 removing 1437490 relations and 926073 ideals in 511417 cliques Wed Feb 08 21:27:18 2023 commencing in-memory singleton removal Wed Feb 08 21:27:19 2023 begin with 29234244 relations and 19406461 unique ideals Wed Feb 08 21:27:28 2023 reduce to 29116991 relations and 18360841 ideals in 9 passes Wed Feb 08 21:27:28 2023 max relations containing the same ideal: 18 Wed Feb 08 21:27:40 2023 relations with 0 large ideals: 2210556 Wed Feb 08 21:27:40 2023 relations with 1 large ideals: 9472319 Wed Feb 08 21:27:40 2023 relations with 2 large ideals: 11812209 Wed Feb 08 21:27:40 2023 relations with 3 large ideals: 4847879 Wed Feb 08 21:27:40 2023 relations with 4 large ideals: 719726 Wed Feb 08 21:27:40 2023 relations with 5 large ideals: 50844 Wed Feb 08 21:27:40 2023 relations with 6 large ideals: 3456 Wed Feb 08 21:27:40 2023 relations with 7+ large ideals: 2 Wed Feb 08 21:27:40 2023 commencing 2-way merge Wed Feb 08 21:27:53 2023 reduce to 17808660 relation sets and 7052510 unique ideals Wed Feb 08 21:27:53 2023 commencing full merge Wed Feb 08 21:28:57 2023 memory use: 731.3 MB Wed Feb 08 21:29:02 2023 found 10735457 cycles, need 9270765 Wed Feb 08 21:29:03 2023 weight of 9270765 cycles is about 612490052 (66.07/cycle) Wed Feb 08 21:29:03 2023 distribution of cycle lengths: Wed Feb 08 21:29:04 2023 1 relations: 2210556 Wed Feb 08 21:29:04 2023 2 relations: 1153570 Wed Feb 08 21:29:04 2023 3 relations: 941758 Wed Feb 08 21:29:04 2023 4 relations: 863685 Wed Feb 08 21:29:04 2023 5 relations: 810805 Wed Feb 08 21:29:04 2023 6 relations: 738900 Wed Feb 08 21:29:04 2023 7 relations: 665364 Wed Feb 08 21:29:04 2023 8 relations: 575837 Wed Feb 08 21:29:04 2023 9 relations: 490046 Wed Feb 08 21:29:04 2023 10+ relations: 820244 Wed Feb 08 21:29:04 2023 heaviest cycle: 14 relations Wed Feb 08 21:29:04 2023 commencing cycle optimization Wed Feb 08 21:29:15 2023 start with 41719497 relations Wed Feb 08 21:30:13 2023 pruned 2736195 relations Wed Feb 08 21:30:13 2023 memory use: 1379.3 MB Wed Feb 08 21:30:13 2023 distribution of cycle lengths: Wed Feb 08 21:30:13 2023 1 relations: 2210556 Wed Feb 08 21:30:13 2023 2 relations: 1203928 Wed Feb 08 21:30:13 2023 3 relations: 1017578 Wed Feb 08 21:30:13 2023 4 relations: 953296 Wed Feb 08 21:30:13 2023 5 relations: 914512 Wed Feb 08 21:30:13 2023 6 relations: 825768 Wed Feb 08 21:30:13 2023 7 relations: 719016 Wed Feb 08 21:30:13 2023 8 relations: 565427 Wed Feb 08 21:30:13 2023 9 relations: 415846 Wed Feb 08 21:30:13 2023 10+ relations: 444838 Wed Feb 08 21:30:13 2023 heaviest cycle: 13 relations Wed Feb 08 21:30:26 2023 RelProcTime: 16515 Wed Feb 08 21:30:26 2023 Wed Feb 08 21:30:26 2023 commencing linear algebra Wed Feb 08 21:30:29 2023 read 9270765 cycles Wed Feb 08 21:30:42 2023 cycles contain 24097181 unique relations Wed Feb 08 21:35:21 2023 read 24097181 relations Wed Feb 08 21:36:03 2023 using 20 quadratic characters above 4294917295 Wed Feb 08 21:38:48 2023 building initial matrix Wed Feb 08 21:43:51 2023 memory use: 3387.7 MB Wed Feb 08 21:43:59 2023 read 9270765 cycles Wed Feb 08 21:44:01 2023 matrix is 9269075 x 9270765 (2550.5 MB) with weight 797827823 (86.06/col) Wed Feb 08 21:44:01 2023 sparse part has weight 557360111 (60.12/col) Wed Feb 08 21:46:04 2023 filtering completed in 3 passes Wed Feb 08 21:46:06 2023 matrix is 9230638 x 9230838 (2544.5 MB) with weight 795798090 (86.21/col) Wed Feb 08 21:46:06 2023 sparse part has weight 556246609 (60.26/col) Wed Feb 08 21:46:30 2023 matrix starts at (0, 0) Wed Feb 08 21:46:32 2023 matrix is 9230638 x 9230838 (2544.5 MB) with weight 795798090 (86.21/col) Wed Feb 08 21:46:32 2023 sparse part has weight 556246609 (60.26/col) Wed Feb 08 21:46:32 2023 saving the first 48 matrix rows for later Wed Feb 08 21:46:35 2023 matrix includes 64 packed rows Wed Feb 08 21:46:37 2023 matrix is 9230590 x 9230838 (2453.9 MB) with weight 627189147 (67.94/col) Wed Feb 08 21:46:37 2023 sparse part has weight 550969753 (59.69/col) Wed Feb 08 21:46:37 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Wed Feb 08 21:47:23 2023 commencing Lanczos iteration (6 threads) Wed Feb 08 21:47:23 2023 memory use: 1986.6 MB Wed Feb 08 21:48:05 2023 linear algebra at 0.0%, ETA 67h46m Wed Feb 08 21:48:18 2023 checkpointing every 140000 dimensions Sat Feb 11 15:36:34 2023 lanczos halted after 145968 iterations (dim = 9230589) Sat Feb 11 15:36:48 2023 recovered 29 nontrivial dependencies Sat Feb 11 15:36:51 2023 BLanczosTime: 237985 Sat Feb 11 15:36:51 2023 Sat Feb 11 15:36:51 2023 commencing square root phase Sat Feb 11 15:36:51 2023 handling dependencies 1 to 64 Sat Feb 11 15:36:51 2023 reading relations for dependency 1 Sat Feb 11 15:36:54 2023 read 4614058 cycles Sat Feb 11 15:37:00 2023 cycles contain 12029420 unique relations Sat Feb 11 15:40:45 2023 read 12029420 relations Sat Feb 11 15:42:27 2023 multiplying 12029420 relations Sat Feb 11 16:05:05 2023 multiply complete, coefficients have about 673.77 million bits Sat Feb 11 16:05:10 2023 initial square root is modulo 1108579 Sat Feb 11 16:26:41 2023 sqrtTime: 2990 Sat Feb 11 16:26:41 2023 p62 factor: 34417257176334886043228077730881255107639793515123798328266163 Sat Feb 11 16:26:41 2023 p108 factor: 778966119064131572774558524587731750174810591249414543178425023519899699300129415385010297125873233091856307 Sat Feb 11 16:26:41 2023 elapsed time 71:31:31