Sun Jun 09 18:30:58 2019 Sun Jun 09 18:30:58 2019 Sun Jun 09 18:30:58 2019 Msieve v. 1.54 (SVN 1018) Sun Jun 09 18:30:58 2019 random seeds: a47cf448 4f0b046f Sun Jun 09 18:30:58 2019 factoring 4785191885732092947568955767556128583330511022236239582323229735381669324182377239461278234751512640531377803194856965180472907012170734083599347772095294729712398066364541461 (175 digits) Sun Jun 09 18:31:00 2019 searching for 15-digit factors Sun Jun 09 18:31:01 2019 commencing number field sieve (175-digit input) Sun Jun 09 18:31:01 2019 R0: 897884935068769785538160238872898993427470864242461 Sun Jun 09 18:31:01 2019 R1: -1 Sun Jun 09 18:31:01 2019 A0: 1 Sun Jun 09 18:31:01 2019 A1: 1 Sun Jun 09 18:31:01 2019 A2: 1 Sun Jun 09 18:31:01 2019 A3: 1 Sun Jun 09 18:31:01 2019 A4: 1 Sun Jun 09 18:31:01 2019 skew 1.00, size 8.506e-021, alpha 1.694, combined = 1.935e-012 rroots = 0 Sun Jun 09 18:31:01 2019 Sun Jun 09 18:31:01 2019 commencing relation filtering Sun Jun 09 18:31:01 2019 setting target matrix density to 70.0 Sun Jun 09 18:31:01 2019 estimated available RAM is 4043.9 MB Sun Jun 09 18:31:01 2019 commencing duplicate removal, pass 1 Sun Jun 09 18:31:20 2019 error -5 reading relation 762740 Sun Jun 09 18:31:20 2019 error -1 reading relation 762741 Sun Jun 09 18:31:20 2019 error -5 reading relation 762742 [trunncated many relation errors] Sun Jun 09 19:20:59 2019 error -9 reading relation 123608602 Sun Jun 09 19:21:01 2019 error -1 reading relation 123762053 Sun Jun 09 19:21:03 2019 error -9 reading relation 123910636 Sun Jun 09 19:21:05 2019 skipped 507 relations with b > 2^32 Sun Jun 09 19:21:05 2019 skipped 11723 relations with composite factors Sun Jun 09 19:21:05 2019 found 20823379 hash collisions in 123952751 relations Sun Jun 09 19:21:57 2019 added 3657728 free relations Sun Jun 09 19:21:57 2019 commencing duplicate removal, pass 2 Sun Jun 09 19:26:37 2019 found 18662070 duplicates and 108948409 unique relations Sun Jun 09 19:26:37 2019 memory use: 660.8 MB Sun Jun 09 19:26:37 2019 reading ideals above 79888384 Sun Jun 09 19:26:37 2019 commencing singleton removal, initial pass Sun Jun 09 19:48:18 2019 memory use: 1506.0 MB Sun Jun 09 19:48:19 2019 reading all ideals from disk Sun Jun 09 19:50:00 2019 memory use: 1754.5 MB Sun Jun 09 19:50:16 2019 commencing in-memory singleton removal Sun Jun 09 19:50:22 2019 begin with 108948409 relations and 80352945 unique ideals Sun Jun 09 19:51:20 2019 reduce to 76706912 relations and 45153254 ideals in 14 passes Sun Jun 09 19:51:20 2019 max relations containing the same ideal: 49 Sun Jun 09 19:51:30 2019 reading ideals above 720000 Sun Jun 09 19:51:31 2019 commencing singleton removal, initial pass Sun Jun 09 20:10:42 2019 memory use: 1506.0 MB Sun Jun 09 20:10:43 2019 reading large ideals from disk Sun Jun 09 20:14:07 2019 keeping 48471160 ideals with weight <= 20, target excess is 6008433 Sun Jun 09 20:17:26 2019 memory use: 1868.3 MB Sun Jun 09 20:17:26 2019 commencing in-memory singleton removal Sun Jun 09 20:17:30 2019 begin with 76706914 relations and 48471160 unique ideals Sun Jun 09 20:17:55 2019 reduce to 76704562 relations and 48468798 ideals in 6 passes Sun Jun 09 20:17:55 2019 max relations containing the same ideal: 20 Sun Jun 09 20:18:21 2019 removing 7206860 relations and 5206860 ideals in 2000000 cliques Sun Jun 09 20:18:24 2019 commencing in-memory singleton removal Sun Jun 09 20:18:28 2019 begin with 69497702 relations and 48468798 unique ideals Sun Jun 09 20:18:54 2019 reduce to 68817899 relations and 42559012 ideals in 7 passes Sun Jun 09 20:18:54 2019 max relations containing the same ideal: 20 Sun Jun 09 20:19:16 2019 removing 5923661 relations and 3923661 ideals in 2000000 cliques Sun Jun 09 20:19:19 2019 commencing in-memory singleton removal Sun Jun 09 20:19:22 2019 begin with 62894238 relations and 42559012 unique ideals Sun Jun 09 20:19:45 2019 reduce to 62447006 relations and 38174277 ideals in 7 passes Sun Jun 09 20:19:45 2019 max relations containing the same ideal: 20 Sun Jun 09 20:20:05 2019 removing 5541286 relations and 3541286 ideals in 2000000 cliques Sun Jun 09 20:20:08 2019 commencing in-memory singleton removal Sun Jun 09 20:20:11 2019 begin with 56905720 relations and 38174277 unique ideals Sun Jun 09 20:20:33 2019 reduce to 56505824 relations and 34220410 ideals in 8 passes Sun Jun 09 20:20:33 2019 max relations containing the same ideal: 20 Sun Jun 09 20:20:52 2019 removing 5382390 relations and 3382390 ideals in 2000000 cliques Sun Jun 09 20:20:54 2019 commencing in-memory singleton removal Sun Jun 09 20:20:56 2019 begin with 51123434 relations and 34220410 unique ideals Sun Jun 09 20:21:14 2019 reduce to 50769446 relations and 30472054 ideals in 7 passes Sun Jun 09 20:21:14 2019 max relations containing the same ideal: 20 Sun Jun 09 20:21:30 2019 removing 5237917 relations and 3237917 ideals in 2000000 cliques Sun Jun 09 20:21:32 2019 commencing in-memory singleton removal Sun Jun 09 20:21:34 2019 begin with 45531529 relations and 30472054 unique ideals Sun Jun 09 20:21:49 2019 reduce to 45175536 relations and 26865059 ideals in 7 passes Sun Jun 09 20:21:49 2019 max relations containing the same ideal: 20 Sun Jun 09 20:22:03 2019 removing 5169542 relations and 3169542 ideals in 2000000 cliques Sun Jun 09 20:22:05 2019 commencing in-memory singleton removal Sun Jun 09 20:22:07 2019 begin with 40005994 relations and 26865059 unique ideals Sun Jun 09 20:22:19 2019 reduce to 39656534 relations and 23332324 ideals in 7 passes Sun Jun 09 20:22:19 2019 max relations containing the same ideal: 19 Sun Jun 09 20:22:32 2019 removing 5059314 relations and 3059314 ideals in 2000000 cliques Sun Jun 09 20:22:34 2019 commencing in-memory singleton removal Sun Jun 09 20:22:35 2019 begin with 34597220 relations and 23332324 unique ideals Sun Jun 09 20:22:45 2019 reduce to 34189756 relations and 19846035 ideals in 7 passes Sun Jun 09 20:22:45 2019 max relations containing the same ideal: 19 Sun Jun 09 20:22:56 2019 removing 5051711 relations and 3051711 ideals in 2000000 cliques Sun Jun 09 20:22:58 2019 commencing in-memory singleton removal Sun Jun 09 20:22:59 2019 begin with 29138045 relations and 19846035 unique ideals Sun Jun 09 20:23:07 2019 reduce to 28751303 relations and 16388192 ideals in 7 passes Sun Jun 09 20:23:07 2019 max relations containing the same ideal: 18 Sun Jun 09 20:23:15 2019 removing 5012467 relations and 3012467 ideals in 2000000 cliques Sun Jun 09 20:23:17 2019 commencing in-memory singleton removal Sun Jun 09 20:23:18 2019 begin with 23738836 relations and 16388192 unique ideals Sun Jun 09 20:23:25 2019 reduce to 23307540 relations and 12918173 ideals in 8 passes Sun Jun 09 20:23:25 2019 max relations containing the same ideal: 17 Sun Jun 09 20:23:32 2019 removing 4992188 relations and 2992188 ideals in 2000000 cliques Sun Jun 09 20:23:34 2019 commencing in-memory singleton removal Sun Jun 09 20:23:34 2019 begin with 18315352 relations and 12918173 unique ideals Sun Jun 09 20:23:39 2019 reduce to 17851552 relations and 9428175 ideals in 7 passes Sun Jun 09 20:23:39 2019 max relations containing the same ideal: 16 Sun Jun 09 20:23:44 2019 removing 3632367 relations and 2178773 ideals in 1453594 cliques Sun Jun 09 20:23:45 2019 commencing in-memory singleton removal Sun Jun 09 20:23:45 2019 begin with 14219185 relations and 9428175 unique ideals Sun Jun 09 20:23:49 2019 reduce to 13877596 relations and 6883849 ideals in 7 passes Sun Jun 09 20:23:49 2019 max relations containing the same ideal: 14 Sun Jun 09 20:23:52 2019 removing 70278 relations and 46314 ideals in 23964 cliques Sun Jun 09 20:23:52 2019 commencing in-memory singleton removal Sun Jun 09 20:23:53 2019 begin with 13807318 relations and 6883849 unique ideals Sun Jun 09 20:23:55 2019 reduce to 13805816 relations and 6836028 ideals in 5 passes Sun Jun 09 20:23:55 2019 max relations containing the same ideal: 14 Sun Jun 09 20:23:56 2019 relations with 0 large ideals: 2385173 Sun Jun 09 20:23:56 2019 relations with 1 large ideals: 6113759 Sun Jun 09 20:23:56 2019 relations with 2 large ideals: 4217504 Sun Jun 09 20:23:56 2019 relations with 3 large ideals: 885898 Sun Jun 09 20:23:56 2019 relations with 4 large ideals: 195407 Sun Jun 09 20:23:56 2019 relations with 5 large ideals: 8020 Sun Jun 09 20:23:56 2019 relations with 6 large ideals: 55 Sun Jun 09 20:23:56 2019 relations with 7+ large ideals: 0 Sun Jun 09 20:23:56 2019 commencing 2-way merge Sun Jun 09 20:24:01 2019 reduce to 9633151 relation sets and 2663363 unique ideals Sun Jun 09 20:24:01 2019 commencing full merge Sun Jun 09 20:24:14 2019 memory use: 309.5 MB Sun Jun 09 20:24:16 2019 found 6969769 cycles, need 6008633 Sun Jun 09 20:24:16 2019 weight of 6008633 cycles is about 187579013 (31.22/cycle) Sun Jun 09 20:24:16 2019 distribution of cycle lengths: Sun Jun 09 20:24:16 2019 1 relations: 2385173 Sun Jun 09 20:24:16 2019 2 relations: 1287953 Sun Jun 09 20:24:16 2019 3 relations: 1089355 Sun Jun 09 20:24:16 2019 4 relations: 732512 Sun Jun 09 20:24:16 2019 5 relations: 463159 Sun Jun 09 20:24:16 2019 6 relations: 49502 Sun Jun 09 20:24:16 2019 7 relations: 970 Sun Jun 09 20:24:16 2019 8 relations: 9 Sun Jun 09 20:24:16 2019 9 relations: 0 Sun Jun 09 20:24:16 2019 10+ relations: 0 Sun Jun 09 20:24:16 2019 heaviest cycle: 8 relations Sun Jun 09 20:24:16 2019 matrix not dense enough, retrying Sun Jun 09 20:24:18 2019 reading large ideals from disk Sun Jun 09 20:27:20 2019 keeping 49268446 ideals with weight <= 25, target excess is 5211147 Sun Jun 09 20:30:45 2019 memory use: 1868.3 MB Sun Jun 09 20:30:45 2019 commencing in-memory singleton removal Sun Jun 09 20:30:50 2019 begin with 76706914 relations and 49268446 unique ideals Sun Jun 09 20:31:18 2019 reduce to 76704562 relations and 49266084 ideals in 6 passes Sun Jun 09 20:31:18 2019 max relations containing the same ideal: 25 Sun Jun 09 20:31:44 2019 removing 7251909 relations and 5251909 ideals in 2000000 cliques Sun Jun 09 20:31:48 2019 commencing in-memory singleton removal Sun Jun 09 20:31:52 2019 begin with 69452653 relations and 49266084 unique ideals Sun Jun 09 20:32:19 2019 reduce to 68772394 relations and 43310698 ideals in 7 passes Sun Jun 09 20:32:19 2019 max relations containing the same ideal: 25 Sun Jun 09 20:32:43 2019 removing 5956111 relations and 3956111 ideals in 2000000 cliques Sun Jun 09 20:32:45 2019 commencing in-memory singleton removal Sun Jun 09 20:32:49 2019 begin with 62816283 relations and 43310698 unique ideals Sun Jun 09 20:33:12 2019 reduce to 62367584 relations and 38891956 ideals in 7 passes Sun Jun 09 20:33:12 2019 max relations containing the same ideal: 25 Sun Jun 09 20:33:34 2019 removing 5584131 relations and 3584131 ideals in 2000000 cliques Sun Jun 09 20:33:37 2019 commencing in-memory singleton removal Sun Jun 09 20:33:39 2019 begin with 56783453 relations and 38891956 unique ideals Sun Jun 09 20:34:03 2019 reduce to 56400773 relations and 34913275 ideals in 8 passes Sun Jun 09 20:34:03 2019 max relations containing the same ideal: 25 Sun Jun 09 20:34:23 2019 removing 5388711 relations and 3388711 ideals in 2000000 cliques Sun Jun 09 20:34:25 2019 commencing in-memory singleton removal Sun Jun 09 20:34:28 2019 begin with 51012062 relations and 34913275 unique ideals Sun Jun 09 20:34:46 2019 reduce to 50653668 relations and 31154001 ideals in 7 passes Sun Jun 09 20:34:46 2019 max relations containing the same ideal: 25 Sun Jun 09 20:35:03 2019 removing 5251871 relations and 3251871 ideals in 2000000 cliques Sun Jun 09 20:35:06 2019 commencing in-memory singleton removal Sun Jun 09 20:35:08 2019 begin with 45401797 relations and 31154001 unique ideals Sun Jun 09 20:35:24 2019 reduce to 45049367 relations and 27536646 ideals in 7 passes Sun Jun 09 20:35:24 2019 max relations containing the same ideal: 25 Sun Jun 09 20:35:39 2019 removing 5166889 relations and 3166889 ideals in 2000000 cliques Sun Jun 09 20:35:41 2019 commencing in-memory singleton removal Sun Jun 09 20:35:43 2019 begin with 39882478 relations and 27536646 unique ideals Sun Jun 09 20:35:56 2019 reduce to 39530487 relations and 24003806 ideals in 7 passes Sun Jun 09 20:35:56 2019 max relations containing the same ideal: 24 Sun Jun 09 20:36:09 2019 removing 5105059 relations and 3105059 ideals in 2000000 cliques Sun Jun 09 20:36:12 2019 commencing in-memory singleton removal Sun Jun 09 20:36:13 2019 begin with 34425428 relations and 24003806 unique ideals Sun Jun 09 20:36:24 2019 reduce to 34064727 relations and 20522250 ideals in 7 passes Sun Jun 09 20:36:24 2019 max relations containing the same ideal: 23 Sun Jun 09 20:36:35 2019 removing 5038064 relations and 3038064 ideals in 2000000 cliques Sun Jun 09 20:36:37 2019 commencing in-memory singleton removal Sun Jun 09 20:36:38 2019 begin with 29026663 relations and 20522250 unique ideals Sun Jun 09 20:36:47 2019 reduce to 28617869 relations and 17054098 ideals in 7 passes Sun Jun 09 20:36:47 2019 max relations containing the same ideal: 22 Sun Jun 09 20:36:56 2019 removing 5000214 relations and 3000214 ideals in 2000000 cliques Sun Jun 09 20:36:58 2019 commencing in-memory singleton removal Sun Jun 09 20:36:59 2019 begin with 23617655 relations and 17054098 unique ideals Sun Jun 09 20:37:06 2019 reduce to 23185865 relations and 13596001 ideals in 7 passes Sun Jun 09 20:37:06 2019 max relations containing the same ideal: 20 Sun Jun 09 20:37:13 2019 removing 4988102 relations and 2988102 ideals in 2000000 cliques Sun Jun 09 20:37:15 2019 commencing in-memory singleton removal Sun Jun 09 20:37:16 2019 begin with 18197763 relations and 13596001 unique ideals Sun Jun 09 20:37:20 2019 reduce to 17732190 relations and 10108723 ideals in 7 passes Sun Jun 09 20:37:20 2019 max relations containing the same ideal: 19 Sun Jun 09 20:37:26 2019 removing 3937879 relations and 2359343 ideals in 1578536 cliques Sun Jun 09 20:37:27 2019 commencing in-memory singleton removal Sun Jun 09 20:37:28 2019 begin with 13794311 relations and 10108723 unique ideals Sun Jun 09 20:37:31 2019 reduce to 13372250 relations and 7294147 ideals in 8 passes Sun Jun 09 20:37:31 2019 max relations containing the same ideal: 17 Sun Jun 09 20:37:35 2019 removing 107390 relations and 74218 ideals in 33172 cliques Sun Jun 09 20:37:35 2019 commencing in-memory singleton removal Sun Jun 09 20:37:36 2019 begin with 13264860 relations and 7294147 unique ideals Sun Jun 09 20:37:38 2019 reduce to 13261838 relations and 7216892 ideals in 5 passes Sun Jun 09 20:37:38 2019 max relations containing the same ideal: 16 Sun Jun 09 20:37:39 2019 relations with 0 large ideals: 1666425 Sun Jun 09 20:37:39 2019 relations with 1 large ideals: 4956971 Sun Jun 09 20:37:39 2019 relations with 2 large ideals: 4607808 Sun Jun 09 20:37:39 2019 relations with 3 large ideals: 1573580 Sun Jun 09 20:37:39 2019 relations with 4 large ideals: 419061 Sun Jun 09 20:37:39 2019 relations with 5 large ideals: 36965 Sun Jun 09 20:37:39 2019 relations with 6 large ideals: 1023 Sun Jun 09 20:37:39 2019 relations with 7+ large ideals: 5 Sun Jun 09 20:37:39 2019 commencing 2-way merge Sun Jun 09 20:37:44 2019 reduce to 9267658 relation sets and 3222712 unique ideals Sun Jun 09 20:37:44 2019 commencing full merge Sun Jun 09 20:38:08 2019 memory use: 341.9 MB Sun Jun 09 20:38:10 2019 found 6041801 cycles, need 5211347 Sun Jun 09 20:38:10 2019 weight of 5211347 cycles is about 225792738 (43.33/cycle) Sun Jun 09 20:38:10 2019 distribution of cycle lengths: Sun Jun 09 20:38:10 2019 1 relations: 1666425 Sun Jun 09 20:38:10 2019 2 relations: 830197 Sun Jun 09 20:38:10 2019 3 relations: 715024 Sun Jun 09 20:38:10 2019 4 relations: 590586 Sun Jun 09 20:38:10 2019 5 relations: 479040 Sun Jun 09 20:38:10 2019 6 relations: 377115 Sun Jun 09 20:38:10 2019 7 relations: 283859 Sun Jun 09 20:38:10 2019 8 relations: 210588 Sun Jun 09 20:38:10 2019 9 relations: 54835 Sun Jun 09 20:38:10 2019 10+ relations: 3678 Sun Jun 09 20:38:10 2019 heaviest cycle: 12 relations Sun Jun 09 20:38:10 2019 matrix not dense enough, retrying Sun Jun 09 20:38:11 2019 reading large ideals from disk Sun Jun 09 20:41:15 2019 keeping 50273010 ideals with weight <= 30, target excess is 4206583 Sun Jun 09 20:44:47 2019 memory use: 1868.3 MB Sun Jun 09 20:44:48 2019 commencing in-memory singleton removal Sun Jun 09 20:44:52 2019 begin with 76706914 relations and 50273010 unique ideals Sun Jun 09 20:45:20 2019 reduce to 76704562 relations and 50270648 ideals in 6 passes Sun Jun 09 20:45:20 2019 max relations containing the same ideal: 30 Sun Jun 09 20:45:49 2019 removing 7328641 relations and 5328641 ideals in 2000000 cliques Sun Jun 09 20:45:52 2019 commencing in-memory singleton removal Sun Jun 09 20:45:56 2019 begin with 69375921 relations and 50270648 unique ideals Sun Jun 09 20:46:25 2019 reduce to 68701714 relations and 44244801 ideals in 7 passes Sun Jun 09 20:46:25 2019 max relations containing the same ideal: 30 Sun Jun 09 20:46:51 2019 removing 5990389 relations and 3990389 ideals in 2000000 cliques Sun Jun 09 20:46:54 2019 commencing in-memory singleton removal Sun Jun 09 20:46:57 2019 begin with 62711325 relations and 44244801 unique ideals Sun Jun 09 20:47:23 2019 reduce to 62266568 relations and 39795956 ideals in 7 passes Sun Jun 09 20:47:23 2019 max relations containing the same ideal: 30 Sun Jun 09 20:47:46 2019 removing 5615672 relations and 3615672 ideals in 2000000 cliques Sun Jun 09 20:47:48 2019 commencing in-memory singleton removal Sun Jun 09 20:47:52 2019 begin with 56650896 relations and 39795956 unique ideals Sun Jun 09 20:48:15 2019 reduce to 56271329 relations and 35788704 ideals in 7 passes Sun Jun 09 20:48:15 2019 max relations containing the same ideal: 30 Sun Jun 09 20:48:35 2019 removing 5405660 relations and 3405660 ideals in 2000000 cliques Sun Jun 09 20:48:38 2019 commencing in-memory singleton removal Sun Jun 09 20:48:41 2019 begin with 50865669 relations and 35788704 unique ideals Sun Jun 09 20:49:00 2019 reduce to 50507989 relations and 32013217 ideals in 7 passes Sun Jun 09 20:49:00 2019 max relations containing the same ideal: 30 Sun Jun 09 20:49:19 2019 removing 5281893 relations and 3281893 ideals in 2000000 cliques Sun Jun 09 20:49:22 2019 commencing in-memory singleton removal Sun Jun 09 20:49:24 2019 begin with 45226096 relations and 32013217 unique ideals Sun Jun 09 20:49:41 2019 reduce to 44881367 relations and 28374039 ideals in 7 passes Sun Jun 09 20:49:41 2019 max relations containing the same ideal: 29 Sun Jun 09 20:49:57 2019 removing 5180708 relations and 3180708 ideals in 2000000 cliques Sun Jun 09 20:50:00 2019 commencing in-memory singleton removal Sun Jun 09 20:50:02 2019 begin with 39700659 relations and 28374039 unique ideals Sun Jun 09 20:50:14 2019 reduce to 39352116 relations and 24831036 ideals in 6 passes Sun Jun 09 20:50:14 2019 max relations containing the same ideal: 28 Sun Jun 09 20:50:28 2019 removing 5114239 relations and 3114239 ideals in 2000000 cliques Sun Jun 09 20:50:30 2019 commencing in-memory singleton removal Sun Jun 09 20:50:32 2019 begin with 34237877 relations and 24831036 unique ideals Sun Jun 09 20:50:42 2019 reduce to 33880098 relations and 21343302 ideals in 6 passes Sun Jun 09 20:50:42 2019 max relations containing the same ideal: 26 Sun Jun 09 20:50:54 2019 removing 5050987 relations and 3050987 ideals in 2000000 cliques Sun Jun 09 20:50:56 2019 commencing in-memory singleton removal Sun Jun 09 20:50:58 2019 begin with 28829111 relations and 21343302 unique ideals Sun Jun 09 20:51:07 2019 reduce to 28441335 relations and 17885155 ideals in 7 passes Sun Jun 09 20:51:07 2019 max relations containing the same ideal: 24 Sun Jun 09 20:51:17 2019 removing 5002367 relations and 3002367 ideals in 2000000 cliques Sun Jun 09 20:51:19 2019 commencing in-memory singleton removal Sun Jun 09 20:51:20 2019 begin with 23438968 relations and 17885155 unique ideals Sun Jun 09 20:51:27 2019 reduce to 23016074 relations and 14434828 ideals in 7 passes Sun Jun 09 20:51:27 2019 max relations containing the same ideal: 23 Sun Jun 09 20:51:35 2019 removing 4982931 relations and 2982931 ideals in 2000000 cliques Sun Jun 09 20:51:37 2019 commencing in-memory singleton removal Sun Jun 09 20:51:38 2019 begin with 18033143 relations and 14434828 unique ideals Sun Jun 09 20:51:43 2019 reduce to 17581732 relations and 10968866 ideals in 7 passes Sun Jun 09 20:51:43 2019 max relations containing the same ideal: 22 Sun Jun 09 20:51:49 2019 removing 4297581 relations and 2564352 ideals in 1733229 cliques Sun Jun 09 20:51:50 2019 commencing in-memory singleton removal Sun Jun 09 20:51:51 2019 begin with 13284151 relations and 10968866 unique ideals Sun Jun 09 20:51:54 2019 reduce to 12798981 relations and 7879225 ideals in 7 passes Sun Jun 09 20:51:54 2019 max relations containing the same ideal: 17 Sun Jun 09 20:51:58 2019 removing 146319 relations and 106200 ideals in 40119 cliques Sun Jun 09 20:51:59 2019 commencing in-memory singleton removal Sun Jun 09 20:51:59 2019 begin with 12652662 relations and 7879225 unique ideals Sun Jun 09 20:52:01 2019 reduce to 12648431 relations and 7768780 ideals in 5 passes Sun Jun 09 20:52:01 2019 max relations containing the same ideal: 17 Sun Jun 09 20:52:02 2019 relations with 0 large ideals: 964575 Sun Jun 09 20:52:02 2019 relations with 1 large ideals: 3380481 Sun Jun 09 20:52:02 2019 relations with 2 large ideals: 4615027 Sun Jun 09 20:52:02 2019 relations with 3 large ideals: 2606832 Sun Jun 09 20:52:02 2019 relations with 4 large ideals: 924408 Sun Jun 09 20:52:02 2019 relations with 5 large ideals: 149008 Sun Jun 09 20:52:02 2019 relations with 6 large ideals: 7953 Sun Jun 09 20:52:02 2019 relations with 7+ large ideals: 147 Sun Jun 09 20:52:02 2019 commencing 2-way merge Sun Jun 09 20:52:07 2019 reduce to 8977877 relation sets and 4098226 unique ideals Sun Jun 09 20:52:07 2019 commencing full merge Sun Jun 09 20:53:01 2019 memory use: 402.8 MB Sun Jun 09 20:53:02 2019 found 4662178 cycles, need 4206783 Sun Jun 09 20:53:03 2019 weight of 4206783 cycles is about 369048157 (87.73/cycle) Sun Jun 09 20:53:03 2019 distribution of cycle lengths: Sun Jun 09 20:53:03 2019 1 relations: 964575 Sun Jun 09 20:53:03 2019 2 relations: 397387 Sun Jun 09 20:53:03 2019 3 relations: 317642 Sun Jun 09 20:53:03 2019 4 relations: 283659 Sun Jun 09 20:53:03 2019 5 relations: 262785 Sun Jun 09 20:53:03 2019 6 relations: 240858 Sun Jun 09 20:53:03 2019 7 relations: 223074 Sun Jun 09 20:53:03 2019 8 relations: 206555 Sun Jun 09 20:53:03 2019 9 relations: 188891 Sun Jun 09 20:53:03 2019 10+ relations: 1121357 Sun Jun 09 20:53:03 2019 heaviest cycle: 23 relations Sun Jun 09 20:53:07 2019 commencing cycle optimization Sun Jun 09 20:53:13 2019 start with 26736416 relations Sun Jun 09 20:54:17 2019 pruned 3771886 relations Sun Jun 09 20:54:17 2019 memory use: 679.6 MB Sun Jun 09 20:54:17 2019 distribution of cycle lengths: Sun Jun 09 20:54:17 2019 1 relations: 964575 Sun Jun 09 20:54:17 2019 2 relations: 419114 Sun Jun 09 20:54:17 2019 3 relations: 350890 Sun Jun 09 20:54:17 2019 4 relations: 326372 Sun Jun 09 20:54:17 2019 5 relations: 316299 Sun Jun 09 20:54:17 2019 6 relations: 298141 Sun Jun 09 20:54:17 2019 7 relations: 280706 Sun Jun 09 20:54:17 2019 8 relations: 255076 Sun Jun 09 20:54:17 2019 9 relations: 227887 Sun Jun 09 20:54:17 2019 10+ relations: 767723 Sun Jun 09 20:54:17 2019 heaviest cycle: 22 relations Sun Jun 09 20:54:23 2019 RelProcTime: 8602 Sun Jun 09 20:54:23 2019 Sun Jun 09 20:54:23 2019 commencing linear algebra Sun Jun 09 20:54:24 2019 read 4206783 cycles Sun Jun 09 20:54:32 2019 cycles contain 10787647 unique relations Sun Jun 09 20:59:00 2019 read 10787647 relations Sun Jun 09 20:59:21 2019 using 20 quadratic characters above 4294917295 Sun Jun 09 21:00:36 2019 building initial matrix Sun Jun 09 21:02:59 2019 memory use: 1364.0 MB Sun Jun 09 21:03:39 2019 read 4206783 cycles Sun Jun 09 21:03:40 2019 matrix is 4205038 x 4206783 (1329.3 MB) with weight 384106923 (91.31/col) Sun Jun 09 21:03:40 2019 sparse part has weight 302199735 (71.84/col) Sun Jun 09 21:04:56 2019 filtering completed in 3 passes Sun Jun 09 21:04:57 2019 matrix is 4177626 x 4177826 (1323.6 MB) with weight 382413546 (91.53/col) Sun Jun 09 21:04:57 2019 sparse part has weight 301024493 (72.05/col) Sun Jun 09 21:06:09 2019 matrix starts at (0, 0) Sun Jun 09 21:06:10 2019 matrix is 4177626 x 4177826 (1323.6 MB) with weight 382413546 (91.53/col) Sun Jun 09 21:06:10 2019 sparse part has weight 301024493 (72.05/col) Sun Jun 09 21:06:10 2019 saving the first 48 matrix rows for later Sun Jun 09 21:06:12 2019 matrix includes 64 packed rows Sun Jun 09 21:06:13 2019 matrix is 4177578 x 4177826 (1260.7 MB) with weight 311452844 (74.55/col) Sun Jun 09 21:06:14 2019 sparse part has weight 288715707 (69.11/col) Sun Jun 09 21:06:15 2019 using block size 8192 and superblock size 294912 for processor cache size 3072 kB Sun Jun 09 21:06:40 2019 commencing Lanczos iteration (2 threads) Sun Jun 09 21:06:40 2019 memory use: 1032.9 MB Sun Jun 09 21:07:14 2019 linear algebra at 0.0%, ETA 24h36m Sun Jun 09 21:07:26 2019 checkpointing every 170000 dimensions Mon Jun 10 23:51:12 2019 lanczos halted after 66069 iterations (dim = 4177572) Mon Jun 10 23:51:38 2019 recovered 35 nontrivial dependencies Mon Jun 10 23:52:09 2019 BLanczosTime: 97066 Mon Jun 10 23:52:09 2019 Mon Jun 10 23:52:09 2019 commencing square root phase Mon Jun 10 23:52:10 2019 handling dependencies 1 to 64 Mon Jun 10 23:52:10 2019 reading relations for dependency 1 Mon Jun 10 23:52:15 2019 read 2090418 cycles Mon Jun 10 23:52:19 2019 cycles contain 5378536 unique relations Tue Jun 11 00:07:35 2019 read 5378536 relations Tue Jun 11 00:08:07 2019 multiplying 5378536 relations Tue Jun 11 00:10:39 2019 multiply complete, coefficients have about 134.06 million bits Tue Jun 11 00:10:40 2019 initial square root is modulo 64763 Tue Jun 11 00:13:50 2019 sqrtTime: 1300 Tue Jun 11 00:13:50 2019 p76 factor: 5340939674758294828776436042090834043927860096404978996735099832702185567841 Tue Jun 11 00:13:50 2019 p99 factor: 895945690670742813461854337206862340349577525934144023752526131431659089077145737171621652586784821 Tue Jun 11 00:13:50 2019 elapsed time 29:42:52