Wed Dec 23 11:20:44 2020 Wed Dec 23 11:20:44 2020 Wed Dec 23 11:20:44 2020 Msieve v. 1.53 (SVN 988M) Wed Dec 23 11:20:44 2020 random seeds: 764c32f3 a703cc21 Wed Dec 23 11:20:44 2020 factoring 7602033756829688179528114585194532636945620980641158489558386275573749542154044507579064912135121058919490210133465024175381229737506471507632934639586098160592822485034720840491709113171694617329428260367764338674564120974790357081 (232 digits) Wed Dec 23 11:20:45 2020 searching for 15-digit factors Wed Dec 23 11:20:46 2020 commencing number field sieve (232-digit input) Wed Dec 23 11:20:46 2020 R0: -5391030899743293631239539488528815119194426882613553319203 Wed Dec 23 11:20:46 2020 R1: 2658455991569831745807614120560689152 Wed Dec 23 11:20:46 2020 A0: 4 Wed Dec 23 11:20:46 2020 A1: -12 Wed Dec 23 11:20:46 2020 A2: 18 Wed Dec 23 11:20:46 2020 A3: -18 Wed Dec 23 11:20:46 2020 A4: 9 Wed Dec 23 11:20:46 2020 skew 0.82, size 9.986e-24, alpha 1.559, combined = 4.075e-14 rroots = 0 Wed Dec 23 11:20:46 2020 Wed Dec 23 11:20:46 2020 commencing relation filtering Wed Dec 23 11:20:46 2020 setting target matrix density to 130.0 Wed Dec 23 11:20:46 2020 estimated available RAM is 32768.0 MB Wed Dec 23 11:20:46 2020 commencing duplicate removal, pass 1 Wed Dec 23 11:31:45 2020 error -15 reading relation 113951254 Wed Dec 23 11:34:01 2020 error -11 reading relation 137463751 Wed Dec 23 11:38:51 2020 error -15 reading relation 187648444 Wed Dec 23 11:39:43 2020 error -11 reading relation 196700143 Wed Dec 23 11:40:46 2020 skipped 7728 relations with b > 2^32 Wed Dec 23 11:40:46 2020 skipped 2 relations with composite factors Wed Dec 23 11:40:46 2020 found 9404775 hash collisions in 207437445 relations Wed Dec 23 11:40:51 2020 added 3657369 free relations Wed Dec 23 11:40:51 2020 commencing duplicate removal, pass 2 Wed Dec 23 11:41:43 2020 found 1 duplicates and 211094813 unique relations Wed Dec 23 11:41:43 2020 memory use: 522.4 MB Wed Dec 23 11:41:43 2020 reading ideals above 214892544 Wed Dec 23 11:41:43 2020 commencing singleton removal, initial pass Wed Dec 23 11:55:50 2020 memory use: 3012.0 MB Wed Dec 23 11:55:50 2020 reading all ideals from disk Wed Dec 23 11:55:52 2020 memory use: 3615.6 MB Wed Dec 23 11:55:59 2020 commencing in-memory singleton removal Wed Dec 23 11:56:06 2020 begin with 211094813 relations and 156911990 unique ideals Wed Dec 23 11:57:25 2020 reduce to 155708182 relations and 97123866 ideals in 12 passes Wed Dec 23 11:57:25 2020 max relations containing the same ideal: 51 Wed Dec 23 11:57:36 2020 reading ideals above 720000 Wed Dec 23 11:57:36 2020 commencing singleton removal, initial pass Wed Dec 23 12:11:43 2020 memory use: 3012.0 MB Wed Dec 23 12:11:43 2020 reading all ideals from disk Wed Dec 23 12:11:48 2020 memory use: 6405.7 MB Wed Dec 23 12:12:02 2020 keeping 120024977 ideals with weight <= 200, target excess is 809911 Wed Dec 23 12:12:16 2020 commencing in-memory singleton removal Wed Dec 23 12:12:27 2020 begin with 155708182 relations and 120024977 unique ideals Wed Dec 23 12:14:10 2020 reduce to 155694388 relations and 120011102 ideals in 9 passes Wed Dec 23 12:14:10 2020 max relations containing the same ideal: 200 Wed Dec 23 12:15:04 2020 removing 9471667 relations and 7471667 ideals in 2000000 cliques Wed Dec 23 12:15:08 2020 commencing in-memory singleton removal Wed Dec 23 12:15:18 2020 begin with 146222721 relations and 120011102 unique ideals Wed Dec 23 12:16:34 2020 reduce to 145768870 relations and 112077965 ideals in 7 passes Wed Dec 23 12:16:34 2020 max relations containing the same ideal: 199 Wed Dec 23 12:17:25 2020 removing 7323688 relations and 5323688 ideals in 2000000 cliques Wed Dec 23 12:17:28 2020 commencing in-memory singleton removal Wed Dec 23 12:17:37 2020 begin with 138445182 relations and 112077965 unique ideals Wed Dec 23 12:18:49 2020 reduce to 138139116 relations and 106443694 ideals in 7 passes Wed Dec 23 12:18:49 2020 max relations containing the same ideal: 194 Wed Dec 23 12:19:37 2020 removing 6700463 relations and 4700463 ideals in 2000000 cliques Wed Dec 23 12:19:40 2020 commencing in-memory singleton removal Wed Dec 23 12:19:49 2020 begin with 131438653 relations and 106443694 unique ideals Wed Dec 23 12:20:47 2020 reduce to 131170769 relations and 101471459 ideals in 6 passes Wed Dec 23 12:20:47 2020 max relations containing the same ideal: 188 Wed Dec 23 12:21:33 2020 removing 6381417 relations and 4381417 ideals in 2000000 cliques Wed Dec 23 12:21:36 2020 commencing in-memory singleton removal Wed Dec 23 12:21:44 2020 begin with 124789352 relations and 101471459 unique ideals Wed Dec 23 12:22:48 2020 reduce to 124541765 relations and 96838781 ideals in 7 passes Wed Dec 23 12:22:48 2020 max relations containing the same ideal: 185 Wed Dec 23 12:23:32 2020 removing 6179405 relations and 4179405 ideals in 2000000 cliques Wed Dec 23 12:23:35 2020 commencing in-memory singleton removal Wed Dec 23 12:23:43 2020 begin with 118362360 relations and 96838781 unique ideals Wed Dec 23 12:24:35 2020 reduce to 118122692 relations and 92416098 ideals in 6 passes Wed Dec 23 12:24:35 2020 max relations containing the same ideal: 179 Wed Dec 23 12:25:17 2020 removing 6046698 relations and 4046698 ideals in 2000000 cliques Wed Dec 23 12:25:19 2020 commencing in-memory singleton removal Wed Dec 23 12:25:27 2020 begin with 112075994 relations and 92416098 unique ideals Wed Dec 23 12:26:15 2020 reduce to 111839701 relations and 88129409 ideals in 6 passes Wed Dec 23 12:26:15 2020 max relations containing the same ideal: 174 Wed Dec 23 12:26:55 2020 removing 5950809 relations and 3950809 ideals in 2000000 cliques Wed Dec 23 12:26:57 2020 commencing in-memory singleton removal Wed Dec 23 12:27:04 2020 begin with 105888892 relations and 88129409 unique ideals Wed Dec 23 12:27:50 2020 reduce to 105652152 relations and 83938045 ideals in 6 passes Wed Dec 23 12:27:50 2020 max relations containing the same ideal: 165 Wed Dec 23 12:28:28 2020 removing 5886045 relations and 3886045 ideals in 2000000 cliques Wed Dec 23 12:28:30 2020 commencing in-memory singleton removal Wed Dec 23 12:28:37 2020 begin with 99766107 relations and 83938045 unique ideals Wed Dec 23 12:29:20 2020 reduce to 99526035 relations and 79807770 ideals in 6 passes Wed Dec 23 12:29:20 2020 max relations containing the same ideal: 161 Wed Dec 23 12:29:56 2020 removing 5838597 relations and 3838597 ideals in 2000000 cliques Wed Dec 23 12:29:59 2020 commencing in-memory singleton removal Wed Dec 23 12:30:05 2020 begin with 93687438 relations and 79807770 unique ideals Wed Dec 23 12:30:45 2020 reduce to 93438993 relations and 75716200 ideals in 6 passes Wed Dec 23 12:30:45 2020 max relations containing the same ideal: 152 Wed Dec 23 12:31:18 2020 removing 5814554 relations and 3814554 ideals in 2000000 cliques Wed Dec 23 12:31:20 2020 commencing in-memory singleton removal Wed Dec 23 12:31:26 2020 begin with 87624439 relations and 75716200 unique ideals Wed Dec 23 12:32:03 2020 reduce to 87365209 relations and 71637411 ideals in 6 passes Wed Dec 23 12:32:03 2020 max relations containing the same ideal: 146 Wed Dec 23 12:32:35 2020 removing 5804344 relations and 3804344 ideals in 2000000 cliques Wed Dec 23 12:32:37 2020 commencing in-memory singleton removal Wed Dec 23 12:32:43 2020 begin with 81560865 relations and 71637411 unique ideals Wed Dec 23 12:33:23 2020 reduce to 81285836 relations and 67552462 ideals in 7 passes Wed Dec 23 12:33:23 2020 max relations containing the same ideal: 141 Wed Dec 23 12:33:53 2020 removing 5807631 relations and 3807631 ideals in 2000000 cliques Wed Dec 23 12:33:55 2020 commencing in-memory singleton removal Wed Dec 23 12:34:00 2020 begin with 75478205 relations and 67552462 unique ideals Wed Dec 23 12:34:32 2020 reduce to 75184367 relations and 63444549 ideals in 6 passes Wed Dec 23 12:34:32 2020 max relations containing the same ideal: 135 Wed Dec 23 12:35:00 2020 removing 5825897 relations and 3825897 ideals in 2000000 cliques Wed Dec 23 12:35:02 2020 commencing in-memory singleton removal Wed Dec 23 12:35:07 2020 begin with 69358470 relations and 63444549 unique ideals Wed Dec 23 12:35:41 2020 reduce to 69039889 relations and 59292840 ideals in 7 passes Wed Dec 23 12:35:41 2020 max relations containing the same ideal: 126 Wed Dec 23 12:36:06 2020 removing 5858076 relations and 3858076 ideals in 2000000 cliques Wed Dec 23 12:36:08 2020 commencing in-memory singleton removal Wed Dec 23 12:36:12 2020 begin with 63181813 relations and 59292840 unique ideals Wed Dec 23 12:36:43 2020 reduce to 62832744 relations and 55076892 ideals in 7 passes Wed Dec 23 12:36:43 2020 max relations containing the same ideal: 116 Wed Dec 23 12:37:06 2020 removing 5911523 relations and 3911523 ideals in 2000000 cliques Wed Dec 23 12:37:08 2020 commencing in-memory singleton removal Wed Dec 23 12:37:12 2020 begin with 56921221 relations and 55076892 unique ideals Wed Dec 23 12:37:39 2020 reduce to 56530830 relations and 50764188 ideals in 7 passes Wed Dec 23 12:37:39 2020 max relations containing the same ideal: 107 Wed Dec 23 12:38:00 2020 removing 5979746 relations and 3979746 ideals in 2000000 cliques Wed Dec 23 12:38:02 2020 commencing in-memory singleton removal Wed Dec 23 12:38:05 2020 begin with 50551084 relations and 50764188 unique ideals Wed Dec 23 12:38:29 2020 reduce to 50104370 relations and 46324205 ideals in 7 passes Wed Dec 23 12:38:29 2020 max relations containing the same ideal: 99 Wed Dec 23 12:38:48 2020 removing 6072638 relations and 4072638 ideals in 2000000 cliques Wed Dec 23 12:38:50 2020 commencing in-memory singleton removal Wed Dec 23 12:38:53 2020 begin with 44031732 relations and 46324205 unique ideals Wed Dec 23 12:39:17 2020 reduce to 43503203 relations and 41705347 ideals in 8 passes Wed Dec 23 12:39:17 2020 max relations containing the same ideal: 94 Wed Dec 23 12:39:34 2020 removing 3120189 relations and 2261830 ideals in 858359 cliques Wed Dec 23 12:39:35 2020 commencing in-memory singleton removal Wed Dec 23 12:39:37 2020 begin with 40383014 relations and 41705347 unique ideals Wed Dec 23 12:39:54 2020 reduce to 40216957 relations and 39274664 ideals in 6 passes Wed Dec 23 12:39:54 2020 max relations containing the same ideal: 91 Wed Dec 23 12:40:13 2020 relations with 0 large ideals: 65008 Wed Dec 23 12:40:13 2020 relations with 1 large ideals: 8867 Wed Dec 23 12:40:13 2020 relations with 2 large ideals: 100630 Wed Dec 23 12:40:13 2020 relations with 3 large ideals: 715642 Wed Dec 23 12:40:13 2020 relations with 4 large ideals: 2867199 Wed Dec 23 12:40:13 2020 relations with 5 large ideals: 8314265 Wed Dec 23 12:40:13 2020 relations with 6 large ideals: 10005135 Wed Dec 23 12:40:13 2020 relations with 7+ large ideals: 18140211 Wed Dec 23 12:40:13 2020 commencing 2-way merge Wed Dec 23 12:40:35 2020 reduce to 27841813 relation sets and 26899520 unique ideals Wed Dec 23 12:40:35 2020 commencing full merge Wed Dec 23 12:59:04 2020 memory use: 1246.8 MB Wed Dec 23 12:59:05 2020 found 96061 cycles, need 5937111 Wed Dec 23 12:59:05 2020 too few cycles, matrix probably cannot build Wed Dec 23 13:54:06 2020 Wed Dec 23 13:54:06 2020 Wed Dec 23 13:54:06 2020 Msieve v. 1.53 (SVN 988M) Wed Dec 23 13:54:06 2020 random seeds: 239ff5e3 88229486 Wed Dec 23 13:54:06 2020 factoring 7602033756829688179528114585194532636945620980641158489558386275573749542154044507579064912135121058919490210133465024175381229737506471507632934639586098160592822485034720840491709113171694617329428260367764338674564120974790357081 (232 digits) Wed Dec 23 13:54:06 2020 searching for 15-digit factors Wed Dec 23 13:54:08 2020 commencing number field sieve (232-digit input) Wed Dec 23 13:54:08 2020 R0: -5391030899743293631239539488528815119194426882613553319203 Wed Dec 23 13:54:08 2020 R1: 2658455991569831745807614120560689152 Wed Dec 23 13:54:08 2020 A0: 4 Wed Dec 23 13:54:08 2020 A1: -12 Wed Dec 23 13:54:08 2020 A2: 18 Wed Dec 23 13:54:08 2020 A3: -18 Wed Dec 23 13:54:08 2020 A4: 9 Wed Dec 23 13:54:08 2020 skew 0.82, size 9.986e-24, alpha 1.559, combined = 4.075e-14 rroots = 0 Wed Dec 23 13:54:08 2020 Wed Dec 23 13:54:08 2020 commencing relation filtering Wed Dec 23 13:54:08 2020 setting target matrix density to 124.0 Wed Dec 23 13:54:08 2020 estimated available RAM is 32768.0 MB Wed Dec 23 13:54:08 2020 commencing duplicate removal, pass 1 Wed Dec 23 14:05:05 2020 error -15 reading relation 113951254 Wed Dec 23 14:07:21 2020 error -11 reading relation 137463751 Wed Dec 23 14:12:12 2020 error -15 reading relation 187648444 Wed Dec 23 14:13:04 2020 error -11 reading relation 196700143 Wed Dec 23 14:14:26 2020 skipped 7728 relations with b > 2^32 Wed Dec 23 14:14:26 2020 skipped 2 relations with composite factors Wed Dec 23 14:14:26 2020 found 9726220 hash collisions in 211094814 relations Wed Dec 23 14:14:26 2020 commencing duplicate removal, pass 2 Wed Dec 23 14:15:19 2020 found 1 duplicates and 211094813 unique relations Wed Dec 23 14:15:19 2020 memory use: 522.4 MB Wed Dec 23 14:15:19 2020 reading ideals above 214892544 Wed Dec 23 14:15:19 2020 commencing singleton removal, initial pass Wed Dec 23 14:29:31 2020 memory use: 3012.0 MB Wed Dec 23 14:29:31 2020 reading all ideals from disk Wed Dec 23 14:29:33 2020 memory use: 3615.6 MB Wed Dec 23 14:29:40 2020 commencing in-memory singleton removal Wed Dec 23 14:29:47 2020 begin with 211094813 relations and 156911990 unique ideals Wed Dec 23 14:31:08 2020 reduce to 155708182 relations and 97123866 ideals in 12 passes Wed Dec 23 14:31:08 2020 max relations containing the same ideal: 51 Wed Dec 23 14:31:19 2020 reading ideals above 720000 Wed Dec 23 14:31:20 2020 commencing singleton removal, initial pass Wed Dec 23 14:45:33 2020 memory use: 3012.0 MB Wed Dec 23 14:45:34 2020 reading all ideals from disk Wed Dec 23 14:45:38 2020 memory use: 6405.7 MB Wed Dec 23 14:45:52 2020 keeping 120024977 ideals with weight <= 200, target excess is 809911 Wed Dec 23 14:46:08 2020 commencing in-memory singleton removal Wed Dec 23 14:46:19 2020 begin with 155708182 relations and 120024977 unique ideals Wed Dec 23 14:48:06 2020 reduce to 155694388 relations and 120011102 ideals in 9 passes Wed Dec 23 14:48:06 2020 max relations containing the same ideal: 200 Wed Dec 23 14:49:01 2020 removing 9471667 relations and 7471667 ideals in 2000000 cliques Wed Dec 23 14:49:05 2020 commencing in-memory singleton removal Wed Dec 23 14:49:15 2020 begin with 146222721 relations and 120011102 unique ideals Wed Dec 23 14:50:34 2020 reduce to 145768870 relations and 112077965 ideals in 7 passes Wed Dec 23 14:50:34 2020 max relations containing the same ideal: 199 Wed Dec 23 14:51:26 2020 removing 7323688 relations and 5323688 ideals in 2000000 cliques Wed Dec 23 14:51:29 2020 commencing in-memory singleton removal Wed Dec 23 14:51:39 2020 begin with 138445182 relations and 112077965 unique ideals Wed Dec 23 14:52:53 2020 reduce to 138139116 relations and 106443694 ideals in 7 passes Wed Dec 23 14:52:53 2020 max relations containing the same ideal: 194 Wed Dec 23 14:53:43 2020 removing 6700463 relations and 4700463 ideals in 2000000 cliques Wed Dec 23 14:53:46 2020 commencing in-memory singleton removal Wed Dec 23 14:53:55 2020 begin with 131438653 relations and 106443694 unique ideals Wed Dec 23 14:54:56 2020 reduce to 131170769 relations and 101471459 ideals in 6 passes Wed Dec 23 14:54:56 2020 max relations containing the same ideal: 188 Wed Dec 23 14:55:43 2020 removing 6381417 relations and 4381417 ideals in 2000000 cliques Wed Dec 23 14:55:46 2020 commencing in-memory singleton removal Wed Dec 23 14:55:54 2020 begin with 124789352 relations and 101471459 unique ideals Wed Dec 23 14:57:01 2020 reduce to 124541765 relations and 96838781 ideals in 7 passes Wed Dec 23 14:57:01 2020 max relations containing the same ideal: 185 Wed Dec 23 14:57:46 2020 removing 6179405 relations and 4179405 ideals in 2000000 cliques Wed Dec 23 14:57:49 2020 commencing in-memory singleton removal Wed Dec 23 14:57:57 2020 begin with 118362360 relations and 96838781 unique ideals Wed Dec 23 14:58:51 2020 reduce to 118122692 relations and 92416098 ideals in 6 passes Wed Dec 23 14:58:51 2020 max relations containing the same ideal: 179 Wed Dec 23 14:59:34 2020 removing 6046698 relations and 4046698 ideals in 2000000 cliques Wed Dec 23 14:59:36 2020 commencing in-memory singleton removal Wed Dec 23 14:59:44 2020 begin with 112075994 relations and 92416098 unique ideals Wed Dec 23 15:00:35 2020 reduce to 111839701 relations and 88129409 ideals in 6 passes Wed Dec 23 15:00:35 2020 max relations containing the same ideal: 174 Wed Dec 23 15:01:16 2020 removing 5950809 relations and 3950809 ideals in 2000000 cliques Wed Dec 23 15:01:18 2020 commencing in-memory singleton removal Wed Dec 23 15:01:25 2020 begin with 105888892 relations and 88129409 unique ideals Wed Dec 23 15:02:13 2020 reduce to 105652152 relations and 83938045 ideals in 6 passes Wed Dec 23 15:02:13 2020 max relations containing the same ideal: 165 Wed Dec 23 15:02:51 2020 removing 5886045 relations and 3886045 ideals in 2000000 cliques Wed Dec 23 15:02:54 2020 commencing in-memory singleton removal Wed Dec 23 15:03:00 2020 begin with 99766107 relations and 83938045 unique ideals Wed Dec 23 15:03:45 2020 reduce to 99526035 relations and 79807770 ideals in 6 passes Wed Dec 23 15:03:45 2020 max relations containing the same ideal: 161 Wed Dec 23 15:04:22 2020 removing 5838597 relations and 3838597 ideals in 2000000 cliques Wed Dec 23 15:04:24 2020 commencing in-memory singleton removal Wed Dec 23 15:04:31 2020 begin with 93687438 relations and 79807770 unique ideals Wed Dec 23 15:05:12 2020 reduce to 93438993 relations and 75716200 ideals in 6 passes Wed Dec 23 15:05:12 2020 max relations containing the same ideal: 152 Wed Dec 23 15:05:46 2020 removing 5814554 relations and 3814554 ideals in 2000000 cliques Wed Dec 23 15:05:49 2020 commencing in-memory singleton removal Wed Dec 23 15:05:54 2020 begin with 87624439 relations and 75716200 unique ideals Wed Dec 23 15:06:33 2020 reduce to 87365209 relations and 71637411 ideals in 6 passes Wed Dec 23 15:06:33 2020 max relations containing the same ideal: 146 Wed Dec 23 15:07:06 2020 removing 5804344 relations and 3804344 ideals in 2000000 cliques Wed Dec 23 15:07:08 2020 commencing in-memory singleton removal Wed Dec 23 15:07:13 2020 begin with 81560865 relations and 71637411 unique ideals Wed Dec 23 15:07:55 2020 reduce to 81285836 relations and 67552462 ideals in 7 passes Wed Dec 23 15:07:55 2020 max relations containing the same ideal: 141 Wed Dec 23 15:08:25 2020 removing 5807631 relations and 3807631 ideals in 2000000 cliques Wed Dec 23 15:08:28 2020 commencing in-memory singleton removal Wed Dec 23 15:08:32 2020 begin with 75478205 relations and 67552462 unique ideals Wed Dec 23 15:09:05 2020 reduce to 75184367 relations and 63444549 ideals in 6 passes Wed Dec 23 15:09:05 2020 max relations containing the same ideal: 135 Wed Dec 23 15:09:33 2020 removing 5825897 relations and 3825897 ideals in 2000000 cliques Wed Dec 23 15:09:35 2020 commencing in-memory singleton removal Wed Dec 23 15:09:40 2020 begin with 69358470 relations and 63444549 unique ideals Wed Dec 23 15:10:15 2020 reduce to 69039889 relations and 59292840 ideals in 7 passes Wed Dec 23 15:10:15 2020 max relations containing the same ideal: 126 Wed Dec 23 15:10:41 2020 removing 5858076 relations and 3858076 ideals in 2000000 cliques Wed Dec 23 15:10:43 2020 commencing in-memory singleton removal Wed Dec 23 15:10:47 2020 begin with 63181813 relations and 59292840 unique ideals Wed Dec 23 15:11:19 2020 reduce to 62832744 relations and 55076892 ideals in 7 passes Wed Dec 23 15:11:19 2020 max relations containing the same ideal: 116 Wed Dec 23 15:11:42 2020 removing 5911523 relations and 3911523 ideals in 2000000 cliques Wed Dec 23 15:11:44 2020 commencing in-memory singleton removal Wed Dec 23 15:11:48 2020 begin with 56921221 relations and 55076892 unique ideals Wed Dec 23 15:12:17 2020 reduce to 56530830 relations and 50764188 ideals in 7 passes Wed Dec 23 15:12:17 2020 max relations containing the same ideal: 107 Wed Dec 23 15:12:38 2020 removing 5979746 relations and 3979746 ideals in 2000000 cliques Wed Dec 23 15:12:40 2020 commencing in-memory singleton removal Wed Dec 23 15:12:43 2020 begin with 50551084 relations and 50764188 unique ideals Wed Dec 23 15:13:08 2020 reduce to 50104370 relations and 46324205 ideals in 7 passes Wed Dec 23 15:13:08 2020 max relations containing the same ideal: 99 Wed Dec 23 15:13:28 2020 removing 6072638 relations and 4072638 ideals in 2000000 cliques Wed Dec 23 15:13:30 2020 commencing in-memory singleton removal Wed Dec 23 15:13:33 2020 begin with 44031732 relations and 46324205 unique ideals Wed Dec 23 15:13:57 2020 reduce to 43503203 relations and 41705347 ideals in 8 passes Wed Dec 23 15:13:57 2020 max relations containing the same ideal: 94 Wed Dec 23 15:14:14 2020 removing 3120189 relations and 2261830 ideals in 858359 cliques Wed Dec 23 15:14:15 2020 commencing in-memory singleton removal Wed Dec 23 15:14:18 2020 begin with 40383014 relations and 41705347 unique ideals Wed Dec 23 15:14:35 2020 reduce to 40216957 relations and 39274664 ideals in 6 passes Wed Dec 23 15:14:35 2020 max relations containing the same ideal: 91 Wed Dec 23 15:14:55 2020 relations with 0 large ideals: 65008 Wed Dec 23 15:14:55 2020 relations with 1 large ideals: 8867 Wed Dec 23 15:14:55 2020 relations with 2 large ideals: 100630 Wed Dec 23 15:14:55 2020 relations with 3 large ideals: 715642 Wed Dec 23 15:14:55 2020 relations with 4 large ideals: 2867199 Wed Dec 23 15:14:55 2020 relations with 5 large ideals: 8314265 Wed Dec 23 15:14:55 2020 relations with 6 large ideals: 10005135 Wed Dec 23 15:14:55 2020 relations with 7+ large ideals: 18140211 Wed Dec 23 15:14:55 2020 commencing 2-way merge Wed Dec 23 15:15:18 2020 reduce to 27841813 relation sets and 26899520 unique ideals Wed Dec 23 15:15:18 2020 commencing full merge Wed Dec 23 15:34:00 2020 memory use: 1246.8 MB Wed Dec 23 15:34:00 2020 found 96061 cycles, need 5937111 Wed Dec 23 15:34:00 2020 too few cycles, matrix probably cannot build Wed Dec 23 15:53:14 2020 Wed Dec 23 15:53:14 2020 Wed Dec 23 15:53:14 2020 Msieve v. 1.53 (SVN 988M) Wed Dec 23 15:53:14 2020 random seeds: 35f24443 3235d65b Wed Dec 23 15:53:14 2020 factoring 7602033756829688179528114585194532636945620980641158489558386275573749542154044507579064912135121058919490210133465024175381229737506471507632934639586098160592822485034720840491709113171694617329428260367764338674564120974790357081 (232 digits) Wed Dec 23 15:53:15 2020 searching for 15-digit factors Wed Dec 23 15:53:16 2020 commencing number field sieve (232-digit input) Wed Dec 23 15:53:16 2020 R0: -5391030899743293631239539488528815119194426882613553319203 Wed Dec 23 15:53:16 2020 R1: 2658455991569831745807614120560689152 Wed Dec 23 15:53:16 2020 A0: 4 Wed Dec 23 15:53:16 2020 A1: -12 Wed Dec 23 15:53:16 2020 A2: 18 Wed Dec 23 15:53:16 2020 A3: -18 Wed Dec 23 15:53:16 2020 A4: 9 Wed Dec 23 15:53:16 2020 skew 0.82, size 9.986e-24, alpha 1.559, combined = 4.075e-14 rroots = 0 Wed Dec 23 15:53:16 2020 Wed Dec 23 15:53:16 2020 commencing relation filtering Wed Dec 23 15:53:16 2020 setting target matrix density to 120.0 Wed Dec 23 15:53:16 2020 estimated available RAM is 32768.0 MB Wed Dec 23 15:53:16 2020 commencing duplicate removal, pass 1 Wed Dec 23 16:04:14 2020 error -15 reading relation 113951254 Wed Dec 23 16:06:29 2020 error -11 reading relation 137463751 Wed Dec 23 16:11:19 2020 error -15 reading relation 187648444 Wed Dec 23 16:12:12 2020 error -11 reading relation 196700143 Wed Dec 23 16:13:16 2020 skipped 7756 relations with b > 2^32 Wed Dec 23 16:13:16 2020 skipped 2 relations with composite factors Wed Dec 23 16:13:16 2020 found 9441699 hash collisions in 207860377 relations Wed Dec 23 16:13:22 2020 added 3657369 free relations Wed Dec 23 16:13:22 2020 commencing duplicate removal, pass 2 Wed Dec 23 16:14:15 2020 found 1 duplicates and 211517745 unique relations Wed Dec 23 16:14:15 2020 memory use: 522.4 MB Wed Dec 23 16:14:15 2020 reading ideals above 214892544 Wed Dec 23 16:14:15 2020 commencing singleton removal, initial pass Wed Dec 23 16:28:27 2020 memory use: 3012.0 MB Wed Dec 23 16:28:28 2020 reading all ideals from disk Wed Dec 23 16:28:30 2020 memory use: 3623.2 MB Wed Dec 23 16:28:37 2020 commencing in-memory singleton removal Wed Dec 23 16:28:43 2020 begin with 211517745 relations and 157002721 unique ideals Wed Dec 23 16:30:01 2020 reduce to 156263773 relations and 97375441 ideals in 12 passes Wed Dec 23 16:30:01 2020 max relations containing the same ideal: 51 Wed Dec 23 16:30:12 2020 reading ideals above 720000 Wed Dec 23 16:30:12 2020 commencing singleton removal, initial pass Wed Dec 23 16:44:27 2020 memory use: 3012.0 MB Wed Dec 23 16:44:27 2020 reading all ideals from disk Wed Dec 23 16:44:31 2020 memory use: 6428.9 MB Wed Dec 23 16:44:45 2020 keeping 120273470 ideals with weight <= 200, target excess is 812994 Wed Dec 23 16:45:00 2020 commencing in-memory singleton removal Wed Dec 23 16:45:11 2020 begin with 156263773 relations and 120273470 unique ideals Wed Dec 23 16:46:56 2020 reduce to 156250253 relations and 120259870 ideals in 9 passes Wed Dec 23 16:46:56 2020 max relations containing the same ideal: 200 Wed Dec 23 16:47:51 2020 removing 9448955 relations and 7448955 ideals in 2000000 cliques Wed Dec 23 16:47:55 2020 commencing in-memory singleton removal Wed Dec 23 16:48:05 2020 begin with 146801298 relations and 120259870 unique ideals Wed Dec 23 16:49:22 2020 reduce to 146351500 relations and 112353564 ideals in 7 passes Wed Dec 23 16:49:22 2020 max relations containing the same ideal: 199 Wed Dec 23 16:50:14 2020 removing 7306662 relations and 5306662 ideals in 2000000 cliques Wed Dec 23 16:50:17 2020 commencing in-memory singleton removal Wed Dec 23 16:50:27 2020 begin with 139044838 relations and 112353564 unique ideals Wed Dec 23 16:51:39 2020 reduce to 138740747 relations and 106738357 ideals in 7 passes Wed Dec 23 16:51:39 2020 max relations containing the same ideal: 194 Wed Dec 23 16:52:28 2020 removing 6686678 relations and 4686678 ideals in 2000000 cliques Wed Dec 23 16:52:31 2020 commencing in-memory singleton removal Wed Dec 23 16:52:40 2020 begin with 132054069 relations and 106738357 unique ideals Wed Dec 23 16:53:49 2020 reduce to 131788649 relations and 101782436 ideals in 7 passes Wed Dec 23 16:53:49 2020 max relations containing the same ideal: 189 Wed Dec 23 16:54:36 2020 removing 6368967 relations and 4368967 ideals in 2000000 cliques Wed Dec 23 16:54:39 2020 commencing in-memory singleton removal Wed Dec 23 16:54:48 2020 begin with 125419682 relations and 101782436 unique ideals Wed Dec 23 16:55:53 2020 reduce to 125174560 relations and 97164708 ideals in 7 passes Wed Dec 23 16:55:53 2020 max relations containing the same ideal: 182 Wed Dec 23 16:56:38 2020 removing 6166192 relations and 4166192 ideals in 2000000 cliques Wed Dec 23 16:56:41 2020 commencing in-memory singleton removal Wed Dec 23 16:56:49 2020 begin with 119008368 relations and 97164708 unique ideals Wed Dec 23 16:57:41 2020 reduce to 118770654 relations and 92757292 ideals in 6 passes Wed Dec 23 16:57:41 2020 max relations containing the same ideal: 177 Wed Dec 23 16:58:24 2020 removing 6033650 relations and 4033650 ideals in 2000000 cliques Wed Dec 23 16:58:26 2020 commencing in-memory singleton removal Wed Dec 23 16:58:34 2020 begin with 112737004 relations and 92757292 unique ideals Wed Dec 23 16:59:24 2020 reduce to 112503125 relations and 88486076 ideals in 6 passes Wed Dec 23 16:59:24 2020 max relations containing the same ideal: 172 Wed Dec 23 17:00:05 2020 removing 5938739 relations and 3938739 ideals in 2000000 cliques Wed Dec 23 17:00:07 2020 commencing in-memory singleton removal Wed Dec 23 17:00:14 2020 begin with 106564386 relations and 88486076 unique ideals Wed Dec 23 17:01:02 2020 reduce to 106330293 relations and 84309560 ideals in 6 passes Wed Dec 23 17:01:02 2020 max relations containing the same ideal: 166 Wed Dec 23 17:01:40 2020 removing 5874142 relations and 3874142 ideals in 2000000 cliques Wed Dec 23 17:01:42 2020 commencing in-memory singleton removal Wed Dec 23 17:01:49 2020 begin with 100456151 relations and 84309560 unique ideals Wed Dec 23 17:02:33 2020 reduce to 100218385 relations and 80193652 ideals in 6 passes Wed Dec 23 17:02:33 2020 max relations containing the same ideal: 160 Wed Dec 23 17:03:09 2020 removing 5825735 relations and 3825735 ideals in 2000000 cliques Wed Dec 23 17:03:12 2020 commencing in-memory singleton removal Wed Dec 23 17:03:18 2020 begin with 94392650 relations and 80193652 unique ideals Wed Dec 23 17:04:07 2020 reduce to 94147314 relations and 76118153 ideals in 7 passes Wed Dec 23 17:04:07 2020 max relations containing the same ideal: 154 Wed Dec 23 17:04:41 2020 removing 5799408 relations and 3799408 ideals in 2000000 cliques Wed Dec 23 17:04:43 2020 commencing in-memory singleton removal Wed Dec 23 17:04:49 2020 begin with 88347906 relations and 76118153 unique ideals Wed Dec 23 17:05:28 2020 reduce to 88091311 relations and 72057228 ideals in 6 passes Wed Dec 23 17:05:28 2020 max relations containing the same ideal: 147 Wed Dec 23 17:06:00 2020 removing 5788825 relations and 3788825 ideals in 2000000 cliques Wed Dec 23 17:06:03 2020 commencing in-memory singleton removal Wed Dec 23 17:06:08 2020 begin with 82302486 relations and 72057228 unique ideals Wed Dec 23 17:06:44 2020 reduce to 82031584 relations and 67992098 ideals in 6 passes Wed Dec 23 17:06:44 2020 max relations containing the same ideal: 142 Wed Dec 23 17:07:14 2020 removing 5790663 relations and 3790663 ideals in 2000000 cliques Wed Dec 23 17:07:16 2020 commencing in-memory singleton removal Wed Dec 23 17:07:21 2020 begin with 76240921 relations and 67992098 unique ideals Wed Dec 23 17:07:54 2020 reduce to 75952022 relations and 63906238 ideals in 6 passes Wed Dec 23 17:07:54 2020 max relations containing the same ideal: 138 Wed Dec 23 17:08:22 2020 removing 5808964 relations and 3808964 ideals in 2000000 cliques Wed Dec 23 17:08:24 2020 commencing in-memory singleton removal Wed Dec 23 17:08:29 2020 begin with 70143058 relations and 63906238 unique ideals Wed Dec 23 17:09:04 2020 reduce to 69830742 relations and 59777782 ideals in 7 passes Wed Dec 23 17:09:04 2020 max relations containing the same ideal: 128 Wed Dec 23 17:09:30 2020 removing 5839667 relations and 3839667 ideals in 2000000 cliques Wed Dec 23 17:09:32 2020 commencing in-memory singleton removal Wed Dec 23 17:09:36 2020 begin with 63991075 relations and 59777782 unique ideals Wed Dec 23 17:10:03 2020 reduce to 63648660 relations and 55587112 ideals in 6 passes Wed Dec 23 17:10:03 2020 max relations containing the same ideal: 116 Wed Dec 23 17:10:27 2020 removing 5890130 relations and 3890130 ideals in 2000000 cliques Wed Dec 23 17:10:29 2020 commencing in-memory singleton removal Wed Dec 23 17:10:33 2020 begin with 57758530 relations and 55587112 unique ideals Wed Dec 23 17:11:01 2020 reduce to 57376974 relations and 51305029 ideals in 7 passes Wed Dec 23 17:11:01 2020 max relations containing the same ideal: 108 Wed Dec 23 17:11:22 2020 removing 5957798 relations and 3957798 ideals in 2000000 cliques Wed Dec 23 17:11:24 2020 commencing in-memory singleton removal Wed Dec 23 17:11:27 2020 begin with 51419176 relations and 51305029 unique ideals Wed Dec 23 17:11:56 2020 reduce to 50983529 relations and 46898599 ideals in 8 passes Wed Dec 23 17:11:56 2020 max relations containing the same ideal: 100 Wed Dec 23 17:12:15 2020 removing 6043040 relations and 4043040 ideals in 2000000 cliques Wed Dec 23 17:12:17 2020 commencing in-memory singleton removal Wed Dec 23 17:12:20 2020 begin with 44940489 relations and 46898599 unique ideals Wed Dec 23 17:12:44 2020 reduce to 44428484 relations and 42326671 ideals in 8 passes Wed Dec 23 17:12:44 2020 max relations containing the same ideal: 96 Wed Dec 23 17:13:01 2020 removing 3948363 relations and 2789624 ideals in 1158739 cliques Wed Dec 23 17:13:02 2020 commencing in-memory singleton removal Wed Dec 23 17:13:05 2020 begin with 40480121 relations and 42326671 unique ideals Wed Dec 23 17:13:22 2020 reduce to 40218354 relations and 39269313 ideals in 6 passes Wed Dec 23 17:13:22 2020 max relations containing the same ideal: 92 Wed Dec 23 17:13:42 2020 relations with 0 large ideals: 65249 Wed Dec 23 17:13:42 2020 relations with 1 large ideals: 8945 Wed Dec 23 17:13:42 2020 relations with 2 large ideals: 101765 Wed Dec 23 17:13:42 2020 relations with 3 large ideals: 721987 Wed Dec 23 17:13:42 2020 relations with 4 large ideals: 2885471 Wed Dec 23 17:13:42 2020 relations with 5 large ideals: 8337189 Wed Dec 23 17:13:42 2020 relations with 6 large ideals: 10013582 Wed Dec 23 17:13:42 2020 relations with 7+ large ideals: 18084166 Wed Dec 23 17:13:42 2020 commencing 2-way merge Wed Dec 23 17:14:04 2020 reduce to 27843111 relation sets and 26894070 unique ideals Wed Dec 23 17:14:04 2020 commencing full merge Wed Dec 23 17:24:44 2020 memory use: 3504.8 MB Wed Dec 23 17:24:50 2020 found 12413675 cycles, need 12410270 Wed Dec 23 17:24:51 2020 weight of 12410270 cycles is about 1490055294 (120.07/cycle) Wed Dec 23 17:24:51 2020 distribution of cycle lengths: Wed Dec 23 17:24:51 2020 1 relations: 449225 Wed Dec 23 17:24:51 2020 2 relations: 641305 Wed Dec 23 17:24:51 2020 3 relations: 780312 Wed Dec 23 17:24:51 2020 4 relations: 837546 Wed Dec 23 17:24:51 2020 5 relations: 868785 Wed Dec 23 17:24:51 2020 6 relations: 881301 Wed Dec 23 17:24:51 2020 7 relations: 872028 Wed Dec 23 17:24:51 2020 8 relations: 847350 Wed Dec 23 17:24:51 2020 9 relations: 805232 Wed Dec 23 17:24:51 2020 10+ relations: 5427186 Wed Dec 23 17:24:51 2020 heaviest cycle: 28 relations Wed Dec 23 17:24:56 2020 commencing cycle optimization Wed Dec 23 17:25:25 2020 start with 117192328 relations Wed Dec 23 17:30:50 2020 pruned 6417985 relations Wed Dec 23 17:30:50 2020 memory use: 2881.4 MB Wed Dec 23 17:30:50 2020 distribution of cycle lengths: Wed Dec 23 17:30:50 2020 1 relations: 449225 Wed Dec 23 17:30:50 2020 2 relations: 656426 Wed Dec 23 17:30:50 2020 3 relations: 815522 Wed Dec 23 17:30:50 2020 4 relations: 878451 Wed Dec 23 17:30:50 2020 5 relations: 921224 Wed Dec 23 17:30:50 2020 6 relations: 933776 Wed Dec 23 17:30:50 2020 7 relations: 929253 Wed Dec 23 17:30:50 2020 8 relations: 900218 Wed Dec 23 17:30:50 2020 9 relations: 855412 Wed Dec 23 17:30:50 2020 10+ relations: 5070763 Wed Dec 23 17:30:50 2020 heaviest cycle: 28 relations Wed Dec 23 17:31:21 2020 RelProcTime: 5885 Wed Dec 23 17:31:21 2020 Wed Dec 23 17:31:21 2020 commencing linear algebra Wed Dec 23 17:31:22 2020 read 12410270 cycles Wed Dec 23 17:31:50 2020 cycles contain 39738759 unique relations Wed Dec 23 17:34:15 2020 read 39738759 relations Wed Dec 23 17:35:42 2020 using 20 quadratic characters above 4294917295 Wed Dec 23 17:37:53 2020 building initial matrix Wed Dec 23 17:44:43 2020 memory use: 5193.6 MB Wed Dec 23 17:44:55 2020 read 12410270 cycles Wed Dec 23 17:44:56 2020 matrix is 12410093 x 12410270 (5837.4 MB) with weight 1656529710 (133.48/col) Wed Dec 23 17:44:56 2020 sparse part has weight 1393718154 (112.30/col) Wed Dec 23 17:47:11 2020 filtering completed in 2 passes Wed Dec 23 17:47:13 2020 matrix is 12410054 x 12410231 (5837.4 MB) with weight 1656528580 (133.48/col) Wed Dec 23 17:47:13 2020 sparse part has weight 1393717792 (112.30/col) Wed Dec 23 17:47:55 2020 matrix starts at (0, 0) Wed Dec 23 17:47:56 2020 matrix is 12410054 x 12410231 (5837.4 MB) with weight 1656528580 (133.48/col) Wed Dec 23 17:47:56 2020 sparse part has weight 1393717792 (112.30/col) Wed Dec 23 17:47:56 2020 saving the first 48 matrix rows for later Wed Dec 23 17:47:58 2020 matrix includes 64 packed rows Wed Dec 23 17:47:59 2020 matrix is 12410006 x 12410231 (5588.0 MB) with weight 1430283778 (115.25/col) Wed Dec 23 17:47:59 2020 sparse part has weight 1340745681 (108.04/col) Wed Dec 23 17:47:59 2020 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB Wed Dec 23 17:49:03 2020 commencing Lanczos iteration (10 threads) Wed Dec 23 17:49:03 2020 memory use: 4802.7 MB Wed Dec 23 17:49:26 2020 linear algebra at 0.0%, ETA 47h39m Wed Dec 23 17:49:33 2020 checkpointing every 270000 dimensions Fri Dec 25 19:08:59 2020 lanczos halted after 196255 iterations (dim = 12410006) Fri Dec 25 19:09:08 2020 recovered 38 nontrivial dependencies Fri Dec 25 19:09:11 2020 BLanczosTime: 178670 Fri Dec 25 19:09:11 2020 Fri Dec 25 19:09:11 2020 commencing square root phase Fri Dec 25 19:09:11 2020 handling dependencies 1 to 64 Fri Dec 25 19:09:11 2020 reading relations for dependency 1 Fri Dec 25 19:09:13 2020 read 6206957 cycles Fri Dec 25 19:09:26 2020 cycles contain 19865272 unique relations Fri Dec 25 19:10:47 2020 read 19865272 relations Fri Dec 25 19:12:08 2020 multiplying 19865272 relations Fri Dec 25 19:18:13 2020 multiply complete, coefficients have about 590.36 million bits Fri Dec 25 19:18:14 2020 warning: no irreducible prime found, switching to small primes Fri Dec 25 19:18:14 2020 initial square root is modulo 53 Fri Dec 25 19:27:00 2020 Newton iteration failed to converge Fri Dec 25 19:27:00 2020 algebraic square root failed Fri Dec 25 19:27:00 2020 reading relations for dependency 2 Fri Dec 25 19:27:02 2020 read 6205511 cycles Fri Dec 25 19:27:16 2020 cycles contain 19866752 unique relations Fri Dec 25 19:28:37 2020 read 19866752 relations Fri Dec 25 19:30:05 2020 multiplying 19866752 relations Fri Dec 25 19:36:41 2020 multiply complete, coefficients have about 590.40 million bits Fri Dec 25 19:36:42 2020 warning: no irreducible prime found, switching to small primes Fri Dec 25 19:36:43 2020 initial square root is modulo 53 Fri Dec 25 19:46:33 2020 Newton iteration failed to converge Fri Dec 25 19:46:33 2020 algebraic square root failed Fri Dec 25 19:46:33 2020 reading relations for dependency 3 Fri Dec 25 19:46:35 2020 read 6208230 cycles Fri Dec 25 19:46:51 2020 cycles contain 19878548 unique relations Fri Dec 25 19:48:23 2020 read 19878548 relations Fri Dec 25 19:50:05 2020 multiplying 19878548 relations Fri Dec 25 19:56:32 2020 multiply complete, coefficients have about 590.75 million bits Fri Dec 25 19:56:34 2020 warning: no irreducible prime found, switching to small primes Fri Dec 25 19:56:34 2020 initial square root is modulo 53 Fri Dec 25 20:06:03 2020 sqrtTime: 3412 Fri Dec 25 20:06:03 2020 p93 factor: 272778179581700214608940613130848043155524950157485759256767991922069865314923455527672324477 Fri Dec 25 20:06:03 2020 p140 factor: 27868921804842499460821783993957831937339852812648102756185700596456846008018389192266140823747112825787301219161147697548835527937330397453 Fri Dec 25 20:06:03 2020 elapsed time 52:12:49