Wed Apr 9 10:56:43 2025 Wed Apr 9 10:56:43 2025 Wed Apr 9 10:56:43 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 10:56:43 2025 random seeds: b7ec3177 c331f601 Wed Apr 9 10:56:43 2025 MPI process 0 of 1 Wed Apr 9 10:56:43 2025 Using 32 OpenMP threads Wed Apr 9 10:56:43 2025 factoring 221437573501640894734654026099972290831295554387989543083404964296111295328329802038577789312424990907560473558197960197447688878495301605531296134551451361862837705462213437653093163 (183 digits) Wed Apr 9 10:56:43 2025 searching for 15-digit factors Wed Apr 9 10:56:44 2025 commencing number field sieve (183-digit input) Wed Apr 9 10:56:44 2025 R0: -155323390523853026437922079567985286 Wed Apr 9 10:56:44 2025 R1: 15468413934655919032619 Wed Apr 9 10:56:44 2025 A0: 1486484889289309058048595469453534840549716 Wed Apr 9 10:56:44 2025 A1: 418590822867635066996109452158220185 Wed Apr 9 10:56:44 2025 A2: -9268508017033093807579063170 Wed Apr 9 10:56:44 2025 A3: -12212429075418641429353 Wed Apr 9 10:56:44 2025 A4: 67143037836318 Wed Apr 9 10:56:44 2025 A5: 14696640 Wed Apr 9 10:56:44 2025 skew 14959293.48, size 7.862e-18, alpha -7.141, combined = 6.296e-14 rroots = 3 Wed Apr 9 10:56:44 2025 Wed Apr 9 10:56:44 2025 commencing relation filtering Wed Apr 9 10:56:44 2025 setting target matrix density to 140.0 Wed Apr 9 10:56:44 2025 estimated available RAM is 257736.5 MB Wed Apr 9 10:56:44 2025 commencing duplicate removal, pass 1 Wed Apr 9 10:58:23 2025 error -6 reading relation 38548855 Wed Apr 9 10:59:07 2025 error -1 reading relation 57638827 Wed Apr 9 10:59:19 2025 error -1 reading relation 62594300 Wed Apr 9 11:01:22 2025 error -1 reading relation 113011517 Wed Apr 9 11:03:28 2025 error -1 reading relation 154518259 Wed Apr 9 11:05:10 2025 error -1 reading relation 186252415 Wed Apr 9 11:05:11 2025 error -1 reading relation 186790309 Wed Apr 9 11:05:52 2025 error -1 reading relation 199811040 Wed Apr 9 11:07:20 2025 error -1 reading relation 228259640 Wed Apr 9 11:07:55 2025 error -1 reading relation 239286846 Wed Apr 9 11:08:14 2025 error -1 reading relation 245579947 Wed Apr 9 11:08:20 2025 error -1 reading relation 247053253 Wed Apr 9 11:08:54 2025 error -1 reading relation 256944838 Wed Apr 9 11:09:06 2025 error -1 reading relation 260782005 Wed Apr 9 11:09:25 2025 error -1 reading relation 267090411 Wed Apr 9 11:09:41 2025 error -1 reading relation 272856659 Wed Apr 9 11:09:52 2025 error -1 reading relation 276248037 Wed Apr 9 11:10:12 2025 error -1 reading relation 283147217 Wed Apr 9 11:10:16 2025 error -1 reading relation 284541695 Wed Apr 9 11:10:18 2025 error -1 reading relation 285194742 Wed Apr 9 11:10:27 2025 error -6 reading relation 288675739 Wed Apr 9 11:12:41 2025 error -1 reading relation 331840016 Wed Apr 9 11:13:29 2025 error -1 reading relation 347437978 Wed Apr 9 11:14:17 2025 error -1 reading relation 365332600 Wed Apr 9 11:14:25 2025 error -1 reading relation 369092311 Wed Apr 9 11:15:10 2025 error -1 reading relation 387872821 Wed Apr 9 11:15:48 2025 error -1 reading relation 402622650 Wed Apr 9 11:16:23 2025 error -1 reading relation 414888571 Wed Apr 9 11:18:01 2025 error -15 reading relation 450696139 Wed Apr 9 11:18:01 2025 error -1 reading relation 450706998 Wed Apr 9 11:18:01 2025 error -1 reading relation 450709909 Wed Apr 9 11:19:46 2025 error -1 reading relation 493298559 Wed Apr 9 11:20:08 2025 error -1 reading relation 502905049 Wed Apr 9 11:20:28 2025 error -1 reading relation 511131057 Wed Apr 9 11:20:36 2025 error -1 reading relation 514625788 Wed Apr 9 11:20:42 2025 error -1 reading relation 517203715 Wed Apr 9 11:21:50 2025 error -1 reading relation 540527054 Wed Apr 9 11:22:35 2025 error -1 reading relation 555506771 Wed Apr 9 11:24:14 2025 error -1 reading relation 587788002 Wed Apr 9 11:24:27 2025 error -1 reading relation 591501314 Wed Apr 9 11:24:27 2025 error -1 reading relation 591501387 Wed Apr 9 11:26:23 2025 error -5 reading relation 627277723 Wed Apr 9 11:26:33 2025 error -1 reading relation 629998137 Wed Apr 9 11:26:53 2025 error -1 reading relation 636691147 Wed Apr 9 11:26:54 2025 error -1 reading relation 636990121 Wed Apr 9 11:26:54 2025 error -1 reading relation 637053735 Wed Apr 9 11:26:55 2025 error -1 reading relation 637157686 Wed Apr 9 11:26:55 2025 error -1 reading relation 637169151 Wed Apr 9 11:27:10 2025 error -1 reading relation 641205785 Wed Apr 9 11:27:13 2025 error -1 reading relation 642116208 Wed Apr 9 11:27:13 2025 error -1 reading relation 642158365 Wed Apr 9 11:27:13 2025 error -1 reading relation 642354158 Wed Apr 9 11:27:13 2025 error -15 reading relation 642360821 Wed Apr 9 11:27:37 2025 error -1 reading relation 650118742 Wed Apr 9 11:27:40 2025 error -1 reading relation 651031860 Wed Apr 9 11:27:47 2025 error -1 reading relation 652993565 Wed Apr 9 11:27:52 2025 error -1 reading relation 654533460 Wed Apr 9 11:28:04 2025 error -1 reading relation 658321478 Wed Apr 9 11:28:09 2025 skipped 4 relations with composite factors Wed Apr 9 11:28:09 2025 skipped 407 malformed relations Wed Apr 9 11:28:09 2025 found 129905836 hash collisions in 659955448 relations Wed Apr 9 11:28:34 2025 added 121503 free relations Wed Apr 9 11:28:34 2025 commencing duplicate removal, pass 2 Wed Apr 9 11:45:31 2025 found 136409412 duplicates and 523667539 unique relations Wed Apr 9 11:45:31 2025 memory use: 3411.0 MB Wed Apr 9 11:45:32 2025 reading ideals above 720000 Wed Apr 9 11:45:32 2025 commencing singleton removal, initial pass Wed Apr 9 12:53:57 2025 memory use: 11024.0 MB Wed Apr 9 12:53:58 2025 reading all ideals from disk Wed Apr 9 12:54:11 2025 memory use: 25828.4 MB Wed Apr 9 12:55:40 2025 keeping 441230215 ideals with weight <= 200, target excess is 2644346 Wed Apr 9 12:57:29 2025 commencing in-memory singleton removal Wed Apr 9 12:57:40 2025 begin with 523667539 relations and 441230215 unique ideals Wed Apr 9 12:58:27 2025 reduce to 355434455 relations and 260282274 ideals in 12 passes Wed Apr 9 12:58:27 2025 max relations containing the same ideal: 166 Wed Apr 9 13:02:35 2025 removing 11167743 relations and 9167743 ideals in 2000000 cliques Wed Apr 9 13:02:56 2025 commencing in-memory singleton removal Wed Apr 9 13:03:05 2025 begin with 344266712 relations and 260282274 unique ideals Wed Apr 9 13:03:28 2025 reduce to 344009704 relations and 250855489 ideals in 8 passes Wed Apr 9 13:03:28 2025 max relations containing the same ideal: 163 Wed Apr 9 13:06:34 2025 removing 8548121 relations and 6548121 ideals in 2000000 cliques Wed Apr 9 13:06:44 2025 commencing in-memory singleton removal Wed Apr 9 13:06:52 2025 begin with 335461583 relations and 250855489 unique ideals Wed Apr 9 13:07:11 2025 reduce to 335289540 relations and 244134228 ideals in 6 passes Wed Apr 9 13:07:11 2025 max relations containing the same ideal: 160 Wed Apr 9 13:09:41 2025 removing 7714643 relations and 5714643 ideals in 2000000 cliques Wed Apr 9 13:09:52 2025 commencing in-memory singleton removal Wed Apr 9 13:09:58 2025 begin with 327574897 relations and 244134228 unique ideals Wed Apr 9 13:10:18 2025 reduce to 327427212 relations and 238270943 ideals in 6 passes Wed Apr 9 13:10:18 2025 max relations containing the same ideal: 159 Wed Apr 9 13:13:03 2025 removing 7251721 relations and 5251721 ideals in 2000000 cliques Wed Apr 9 13:13:14 2025 commencing in-memory singleton removal Wed Apr 9 13:13:22 2025 begin with 320175491 relations and 238270943 unique ideals Wed Apr 9 13:13:41 2025 reduce to 320040408 relations and 232883266 ideals in 6 passes Wed Apr 9 13:13:41 2025 max relations containing the same ideal: 156 Wed Apr 9 13:16:31 2025 removing 6943572 relations and 4943572 ideals in 2000000 cliques Wed Apr 9 13:16:43 2025 commencing in-memory singleton removal Wed Apr 9 13:16:50 2025 begin with 313096836 relations and 232883266 unique ideals Wed Apr 9 13:17:09 2025 reduce to 312970470 relations and 227812466 ideals in 6 passes Wed Apr 9 13:17:09 2025 max relations containing the same ideal: 156 Wed Apr 9 13:19:40 2025 removing 6725524 relations and 4725524 ideals in 2000000 cliques Wed Apr 9 13:19:48 2025 commencing in-memory singleton removal Wed Apr 9 13:19:55 2025 begin with 306244946 relations and 227812466 unique ideals Wed Apr 9 13:20:12 2025 reduce to 306123840 relations and 222965059 ideals in 6 passes Wed Apr 9 13:20:12 2025 max relations containing the same ideal: 156 Wed Apr 9 13:22:26 2025 removing 6556744 relations and 4556744 ideals in 2000000 cliques Wed Apr 9 13:22:35 2025 commencing in-memory singleton removal Wed Apr 9 13:22:41 2025 begin with 299567096 relations and 222965059 unique ideals Wed Apr 9 13:22:57 2025 reduce to 299449437 relations and 218289831 ideals in 5 passes Wed Apr 9 13:22:57 2025 max relations containing the same ideal: 152 Wed Apr 9 13:25:20 2025 removing 6427257 relations and 4427257 ideals in 2000000 cliques Wed Apr 9 13:25:29 2025 commencing in-memory singleton removal Wed Apr 9 13:25:36 2025 begin with 293022180 relations and 218289831 unique ideals Wed Apr 9 13:25:54 2025 reduce to 292907450 relations and 213747057 ideals in 6 passes Wed Apr 9 13:25:54 2025 max relations containing the same ideal: 149 Wed Apr 9 13:28:41 2025 removing 6321276 relations and 4321276 ideals in 2000000 cliques Wed Apr 9 13:28:51 2025 commencing in-memory singleton removal Wed Apr 9 13:28:57 2025 begin with 286586174 relations and 213747057 unique ideals Wed Apr 9 13:29:13 2025 reduce to 286474102 relations and 209312876 ideals in 6 passes Wed Apr 9 13:29:13 2025 max relations containing the same ideal: 148 Wed Apr 9 13:32:03 2025 removing 6235477 relations and 4235477 ideals in 2000000 cliques Wed Apr 9 13:32:14 2025 commencing in-memory singleton removal Wed Apr 9 13:32:21 2025 begin with 280238625 relations and 209312876 unique ideals Wed Apr 9 13:32:35 2025 reduce to 280127917 relations and 204965852 ideals in 5 passes Wed Apr 9 13:32:35 2025 max relations containing the same ideal: 147 Wed Apr 9 13:35:03 2025 removing 6158380 relations and 4158380 ideals in 2000000 cliques Wed Apr 9 13:35:13 2025 commencing in-memory singleton removal Wed Apr 9 13:35:19 2025 begin with 273969537 relations and 204965852 unique ideals Wed Apr 9 13:35:35 2025 reduce to 273859884 relations and 200696952 ideals in 6 passes Wed Apr 9 13:35:35 2025 max relations containing the same ideal: 144 Wed Apr 9 13:38:15 2025 removing 6092339 relations and 4092339 ideals in 2000000 cliques Wed Apr 9 13:38:25 2025 commencing in-memory singleton removal Wed Apr 9 13:38:32 2025 begin with 267767545 relations and 200696952 unique ideals Wed Apr 9 13:38:49 2025 reduce to 267657847 relations and 196494064 ideals in 6 passes Wed Apr 9 13:38:49 2025 max relations containing the same ideal: 143 Wed Apr 9 13:41:17 2025 removing 6039499 relations and 4039499 ideals in 2000000 cliques Wed Apr 9 13:41:25 2025 commencing in-memory singleton removal Wed Apr 9 13:41:32 2025 begin with 261618348 relations and 196494064 unique ideals Wed Apr 9 13:41:46 2025 reduce to 261509183 relations and 192344460 ideals in 6 passes Wed Apr 9 13:41:46 2025 max relations containing the same ideal: 139 Wed Apr 9 13:43:51 2025 removing 5994502 relations and 3994502 ideals in 2000000 cliques Wed Apr 9 13:43:59 2025 commencing in-memory singleton removal Wed Apr 9 13:44:05 2025 begin with 255514681 relations and 192344460 unique ideals Wed Apr 9 13:44:20 2025 reduce to 255405326 relations and 188239638 ideals in 6 passes Wed Apr 9 13:44:20 2025 max relations containing the same ideal: 137 Wed Apr 9 13:46:33 2025 removing 5954972 relations and 3954972 ideals in 2000000 cliques Wed Apr 9 13:46:43 2025 commencing in-memory singleton removal Wed Apr 9 13:46:50 2025 begin with 249450354 relations and 188239638 unique ideals Wed Apr 9 13:47:04 2025 reduce to 249340050 relations and 184173396 ideals in 6 passes Wed Apr 9 13:47:04 2025 max relations containing the same ideal: 136 Wed Apr 9 13:49:23 2025 removing 5915902 relations and 3915902 ideals in 2000000 cliques Wed Apr 9 13:49:33 2025 commencing in-memory singleton removal Wed Apr 9 13:49:39 2025 begin with 243424148 relations and 184173396 unique ideals Wed Apr 9 13:49:53 2025 reduce to 243312980 relations and 180145341 ideals in 6 passes Wed Apr 9 13:49:53 2025 max relations containing the same ideal: 132 Wed Apr 9 13:52:20 2025 removing 5886070 relations and 3886070 ideals in 2000000 cliques Wed Apr 9 13:52:30 2025 commencing in-memory singleton removal Wed Apr 9 13:52:35 2025 begin with 237426910 relations and 180145341 unique ideals Wed Apr 9 13:52:49 2025 reduce to 237314695 relations and 176146019 ideals in 6 passes Wed Apr 9 13:52:49 2025 max relations containing the same ideal: 130 Wed Apr 9 13:54:52 2025 removing 5860239 relations and 3860239 ideals in 2000000 cliques Wed Apr 9 13:55:00 2025 commencing in-memory singleton removal Wed Apr 9 13:55:05 2025 begin with 231454456 relations and 176146019 unique ideals Wed Apr 9 13:55:19 2025 reduce to 231341313 relations and 172171445 ideals in 6 passes Wed Apr 9 13:55:19 2025 max relations containing the same ideal: 126 Wed Apr 9 13:57:31 2025 removing 5837609 relations and 3837609 ideals in 2000000 cliques Wed Apr 9 13:57:39 2025 commencing in-memory singleton removal Wed Apr 9 13:57:44 2025 begin with 225503704 relations and 172171445 unique ideals Wed Apr 9 13:57:57 2025 reduce to 225388027 relations and 168216989 ideals in 6 passes Wed Apr 9 13:57:57 2025 max relations containing the same ideal: 125 Wed Apr 9 13:59:48 2025 removing 5819517 relations and 3819517 ideals in 2000000 cliques Wed Apr 9 13:59:54 2025 commencing in-memory singleton removal Wed Apr 9 13:59:59 2025 begin with 219568510 relations and 168216989 unique ideals Wed Apr 9 14:00:11 2025 reduce to 219451285 relations and 164278977 ideals in 6 passes Wed Apr 9 14:00:11 2025 max relations containing the same ideal: 122 Wed Apr 9 14:01:50 2025 removing 5802842 relations and 3802842 ideals in 2000000 cliques Wed Apr 9 14:01:56 2025 commencing in-memory singleton removal Wed Apr 9 14:02:01 2025 begin with 213648443 relations and 164278977 unique ideals Wed Apr 9 14:02:13 2025 reduce to 213529047 relations and 160355426 ideals in 6 passes Wed Apr 9 14:02:13 2025 max relations containing the same ideal: 121 Wed Apr 9 14:04:04 2025 removing 5793834 relations and 3793834 ideals in 2000000 cliques Wed Apr 9 14:04:10 2025 commencing in-memory singleton removal Wed Apr 9 14:04:15 2025 begin with 207735213 relations and 160355426 unique ideals Wed Apr 9 14:04:28 2025 reduce to 207613614 relations and 156438578 ideals in 6 passes Wed Apr 9 14:04:28 2025 max relations containing the same ideal: 118 Wed Apr 9 14:06:08 2025 removing 5782377 relations and 3782377 ideals in 2000000 cliques Wed Apr 9 14:06:17 2025 commencing in-memory singleton removal Wed Apr 9 14:06:22 2025 begin with 201831237 relations and 156438578 unique ideals Wed Apr 9 14:06:33 2025 reduce to 201706956 relations and 152530477 ideals in 6 passes Wed Apr 9 14:06:33 2025 max relations containing the same ideal: 116 Wed Apr 9 14:08:08 2025 removing 5779676 relations and 3779676 ideals in 2000000 cliques Wed Apr 9 14:08:14 2025 commencing in-memory singleton removal Wed Apr 9 14:08:19 2025 begin with 195927280 relations and 152530477 unique ideals Wed Apr 9 14:08:33 2025 reduce to 195799114 relations and 148621122 ideals in 7 passes Wed Apr 9 14:08:33 2025 max relations containing the same ideal: 113 Wed Apr 9 14:10:01 2025 removing 5774655 relations and 3774655 ideals in 2000000 cliques Wed Apr 9 14:10:06 2025 commencing in-memory singleton removal Wed Apr 9 14:10:11 2025 begin with 190024459 relations and 148621122 unique ideals Wed Apr 9 14:10:22 2025 reduce to 189893525 relations and 144713908 ideals in 6 passes Wed Apr 9 14:10:22 2025 max relations containing the same ideal: 113 Wed Apr 9 14:11:52 2025 removing 5775172 relations and 3775172 ideals in 2000000 cliques Wed Apr 9 14:11:57 2025 commencing in-memory singleton removal Wed Apr 9 14:12:01 2025 begin with 184118353 relations and 144713908 unique ideals Wed Apr 9 14:12:12 2025 reduce to 183983806 relations and 140802541 ideals in 6 passes Wed Apr 9 14:12:12 2025 max relations containing the same ideal: 110 Wed Apr 9 14:13:33 2025 removing 5780385 relations and 3780385 ideals in 2000000 cliques Wed Apr 9 14:13:39 2025 commencing in-memory singleton removal Wed Apr 9 14:13:42 2025 begin with 178203421 relations and 140802541 unique ideals Wed Apr 9 14:13:51 2025 reduce to 178065252 relations and 136882191 ideals in 6 passes Wed Apr 9 14:13:51 2025 max relations containing the same ideal: 107 Wed Apr 9 14:15:13 2025 removing 5784576 relations and 3784576 ideals in 2000000 cliques Wed Apr 9 14:15:18 2025 commencing in-memory singleton removal Wed Apr 9 14:15:21 2025 begin with 172280676 relations and 136882191 unique ideals Wed Apr 9 14:15:31 2025 reduce to 172137743 relations and 132952747 ideals in 7 passes Wed Apr 9 14:15:31 2025 max relations containing the same ideal: 104 Wed Apr 9 14:16:45 2025 removing 5791708 relations and 3791708 ideals in 2000000 cliques Wed Apr 9 14:16:50 2025 commencing in-memory singleton removal Wed Apr 9 14:16:53 2025 begin with 166346035 relations and 132952747 unique ideals Wed Apr 9 14:17:03 2025 reduce to 166198286 relations and 129011283 ideals in 7 passes Wed Apr 9 14:17:03 2025 max relations containing the same ideal: 103 Wed Apr 9 14:18:14 2025 removing 5803697 relations and 3803697 ideals in 2000000 cliques Wed Apr 9 14:18:19 2025 commencing in-memory singleton removal Wed Apr 9 14:18:22 2025 begin with 160394589 relations and 129011283 unique ideals Wed Apr 9 14:18:30 2025 reduce to 160240445 relations and 125051293 ideals in 6 passes Wed Apr 9 14:18:30 2025 max relations containing the same ideal: 100 Wed Apr 9 14:19:41 2025 removing 5816645 relations and 3816645 ideals in 2000000 cliques Wed Apr 9 14:19:45 2025 commencing in-memory singleton removal Wed Apr 9 14:19:49 2025 begin with 154423800 relations and 125051293 unique ideals Wed Apr 9 14:19:57 2025 reduce to 154263982 relations and 121072510 ideals in 6 passes Wed Apr 9 14:19:57 2025 max relations containing the same ideal: 96 Wed Apr 9 14:21:07 2025 removing 5833193 relations and 3833193 ideals in 2000000 cliques Wed Apr 9 14:21:12 2025 commencing in-memory singleton removal Wed Apr 9 14:21:15 2025 begin with 148430789 relations and 121072510 unique ideals Wed Apr 9 14:21:24 2025 reduce to 148264815 relations and 117070969 ideals in 6 passes Wed Apr 9 14:21:24 2025 max relations containing the same ideal: 94 Wed Apr 9 14:22:33 2025 removing 5858571 relations and 3858571 ideals in 2000000 cliques Wed Apr 9 14:22:38 2025 commencing in-memory singleton removal Wed Apr 9 14:22:40 2025 begin with 142406244 relations and 117070969 unique ideals Wed Apr 9 14:22:48 2025 reduce to 142232824 relations and 113036404 ideals in 6 passes Wed Apr 9 14:22:48 2025 max relations containing the same ideal: 93 Wed Apr 9 14:24:02 2025 removing 5885082 relations and 3885082 ideals in 2000000 cliques Wed Apr 9 14:24:07 2025 commencing in-memory singleton removal Wed Apr 9 14:24:10 2025 begin with 136347742 relations and 113036404 unique ideals Wed Apr 9 14:24:17 2025 reduce to 136165492 relations and 108966214 ideals in 6 passes Wed Apr 9 14:24:17 2025 max relations containing the same ideal: 90 Wed Apr 9 14:25:23 2025 removing 5916345 relations and 3916345 ideals in 2000000 cliques Wed Apr 9 14:25:27 2025 commencing in-memory singleton removal Wed Apr 9 14:25:30 2025 begin with 130249147 relations and 108966214 unique ideals Wed Apr 9 14:25:37 2025 reduce to 130056768 relations and 104854528 ideals in 7 passes Wed Apr 9 14:25:37 2025 max relations containing the same ideal: 88 Wed Apr 9 14:26:40 2025 removing 5953548 relations and 3953548 ideals in 2000000 cliques Wed Apr 9 14:26:44 2025 commencing in-memory singleton removal Wed Apr 9 14:26:46 2025 begin with 124103220 relations and 104854528 unique ideals Wed Apr 9 14:26:52 2025 reduce to 123899521 relations and 100694062 ideals in 6 passes Wed Apr 9 14:26:52 2025 max relations containing the same ideal: 84 Wed Apr 9 14:27:51 2025 removing 5999021 relations and 3999021 ideals in 2000000 cliques Wed Apr 9 14:27:55 2025 commencing in-memory singleton removal Wed Apr 9 14:27:57 2025 begin with 117900500 relations and 100694062 unique ideals Wed Apr 9 14:28:04 2025 reduce to 117684194 relations and 96475174 ideals in 6 passes Wed Apr 9 14:28:04 2025 max relations containing the same ideal: 81 Wed Apr 9 14:28:56 2025 removing 6051418 relations and 4051418 ideals in 2000000 cliques Wed Apr 9 14:29:00 2025 commencing in-memory singleton removal Wed Apr 9 14:29:02 2025 begin with 111632776 relations and 96475174 unique ideals Wed Apr 9 14:29:08 2025 reduce to 111400466 relations and 92187464 ideals in 7 passes Wed Apr 9 14:29:08 2025 max relations containing the same ideal: 78 Wed Apr 9 14:30:00 2025 removing 6108377 relations and 4108377 ideals in 2000000 cliques Wed Apr 9 14:30:04 2025 commencing in-memory singleton removal Wed Apr 9 14:30:06 2025 begin with 105292089 relations and 92187464 unique ideals Wed Apr 9 14:30:12 2025 reduce to 105043337 relations and 87825896 ideals in 6 passes Wed Apr 9 14:30:12 2025 max relations containing the same ideal: 77 Wed Apr 9 14:31:02 2025 removing 6175392 relations and 4175392 ideals in 2000000 cliques Wed Apr 9 14:31:05 2025 commencing in-memory singleton removal Wed Apr 9 14:31:08 2025 begin with 98867945 relations and 87825896 unique ideals Wed Apr 9 14:31:13 2025 reduce to 98598732 relations and 83376248 ideals in 6 passes Wed Apr 9 14:31:13 2025 max relations containing the same ideal: 74 Wed Apr 9 14:31:58 2025 removing 6250937 relations and 4250937 ideals in 2000000 cliques Wed Apr 9 14:32:02 2025 commencing in-memory singleton removal Wed Apr 9 14:32:04 2025 begin with 92347795 relations and 83376248 unique ideals Wed Apr 9 14:32:09 2025 reduce to 92055374 relations and 78827383 ideals in 7 passes Wed Apr 9 14:32:09 2025 max relations containing the same ideal: 72 Wed Apr 9 14:32:59 2025 removing 6340598 relations and 4340598 ideals in 2000000 cliques Wed Apr 9 14:33:03 2025 commencing in-memory singleton removal Wed Apr 9 14:33:05 2025 begin with 85714776 relations and 78827383 unique ideals Wed Apr 9 14:33:10 2025 reduce to 85392764 relations and 74158298 ideals in 7 passes Wed Apr 9 14:33:10 2025 max relations containing the same ideal: 69 Wed Apr 9 14:33:49 2025 removing 6447404 relations and 4447404 ideals in 2000000 cliques Wed Apr 9 14:33:52 2025 commencing in-memory singleton removal Wed Apr 9 14:33:54 2025 begin with 78945360 relations and 74158298 unique ideals Wed Apr 9 14:33:58 2025 reduce to 78587186 relations and 69345296 ideals in 6 passes Wed Apr 9 14:33:58 2025 max relations containing the same ideal: 63 Wed Apr 9 14:34:37 2025 removing 6568103 relations and 4568103 ideals in 2000000 cliques Wed Apr 9 14:34:40 2025 commencing in-memory singleton removal Wed Apr 9 14:34:42 2025 begin with 72019083 relations and 69345296 unique ideals Wed Apr 9 14:34:46 2025 reduce to 71614541 relations and 64363605 ideals in 7 passes Wed Apr 9 14:34:46 2025 max relations containing the same ideal: 58 Wed Apr 9 14:35:20 2025 removing 6712897 relations and 4712897 ideals in 2000000 cliques Wed Apr 9 14:35:23 2025 commencing in-memory singleton removal Wed Apr 9 14:35:24 2025 begin with 64901644 relations and 64363605 unique ideals Wed Apr 9 14:35:27 2025 reduce to 64436498 relations and 59174520 ideals in 7 passes Wed Apr 9 14:35:27 2025 max relations containing the same ideal: 56 Wed Apr 9 14:35:59 2025 removing 6880155 relations and 4880155 ideals in 2000000 cliques Wed Apr 9 14:36:02 2025 commencing in-memory singleton removal Wed Apr 9 14:36:03 2025 begin with 57556343 relations and 59174520 unique ideals Wed Apr 9 14:36:07 2025 reduce to 57008720 relations and 53732510 ideals in 8 passes Wed Apr 9 14:36:07 2025 max relations containing the same ideal: 49 Wed Apr 9 14:36:35 2025 removing 1079226 relations and 870458 ideals in 208768 cliques Wed Apr 9 14:36:37 2025 commencing in-memory singleton removal Wed Apr 9 14:36:38 2025 begin with 55929494 relations and 53732510 unique ideals Wed Apr 9 14:36:40 2025 reduce to 55915002 relations and 52847507 ideals in 6 passes Wed Apr 9 14:36:40 2025 max relations containing the same ideal: 49 Wed Apr 9 14:36:47 2025 relations with 0 large ideals: 8853 Wed Apr 9 14:36:47 2025 relations with 1 large ideals: 112404 Wed Apr 9 14:36:47 2025 relations with 2 large ideals: 1217275 Wed Apr 9 14:36:47 2025 relations with 3 large ideals: 5306838 Wed Apr 9 14:36:47 2025 relations with 4 large ideals: 12028296 Wed Apr 9 14:36:47 2025 relations with 5 large ideals: 15793451 Wed Apr 9 14:36:47 2025 relations with 6 large ideals: 12762405 Wed Apr 9 14:36:47 2025 relations with 7+ large ideals: 8685480 Wed Apr 9 14:36:47 2025 commencing 2-way merge Wed Apr 9 14:37:29 2025 reduce to 35587986 relation sets and 32520491 unique ideals Wed Apr 9 14:37:29 2025 commencing full merge Wed Apr 9 14:51:34 2025 memory use: 4088.8 MB Wed Apr 9 14:51:37 2025 found 15597716 cycles, need 15344691 Wed Apr 9 14:51:43 2025 weight of 15344691 cycles is about 2148587561 (140.02/cycle) Wed Apr 9 14:51:43 2025 distribution of cycle lengths: Wed Apr 9 14:51:43 2025 1 relations: 539585 Wed Apr 9 14:51:43 2025 2 relations: 816907 Wed Apr 9 14:51:43 2025 3 relations: 944225 Wed Apr 9 14:51:43 2025 4 relations: 983117 Wed Apr 9 14:51:43 2025 5 relations: 1019912 Wed Apr 9 14:51:43 2025 6 relations: 1030792 Wed Apr 9 14:51:43 2025 7 relations: 1045367 Wed Apr 9 14:51:43 2025 8 relations: 1026818 Wed Apr 9 14:51:43 2025 9 relations: 995246 Wed Apr 9 14:51:43 2025 10+ relations: 6942722 Wed Apr 9 14:51:43 2025 heaviest cycle: 28 relations Wed Apr 9 14:51:50 2025 commencing cycle optimization Wed Apr 9 14:52:31 2025 start with 145509451 relations Wed Apr 9 14:58:41 2025 pruned 7402724 relations Wed Apr 9 14:58:42 2025 memory use: 3772.6 MB Wed Apr 9 14:58:42 2025 distribution of cycle lengths: Wed Apr 9 14:58:42 2025 1 relations: 539585 Wed Apr 9 14:58:42 2025 2 relations: 839600 Wed Apr 9 14:58:42 2025 3 relations: 986614 Wed Apr 9 14:58:42 2025 4 relations: 1028564 Wed Apr 9 14:58:42 2025 5 relations: 1076562 Wed Apr 9 14:58:42 2025 6 relations: 1091309 Wed Apr 9 14:58:42 2025 7 relations: 1110156 Wed Apr 9 14:58:42 2025 8 relations: 1091328 Wed Apr 9 14:58:42 2025 9 relations: 1058732 Wed Apr 9 14:58:42 2025 10+ relations: 6522241 Wed Apr 9 14:58:42 2025 heaviest cycle: 27 relations Wed Apr 9 14:59:10 2025 RelProcTime: 14546 Wed Apr 9 14:59:10 2025 Wed Apr 9 14:59:10 2025 commencing linear algebra Wed Apr 9 14:59:10 2025 using VBITS=256 Wed Apr 9 14:59:10 2025 stopping after matrix build Wed Apr 9 14:59:10 2025 initialized process (0,0) of 1 x 1 grid Wed Apr 9 14:59:12 2025 read 15344691 cycles Wed Apr 9 14:59:44 2025 cycles contain 54447959 unique relations Wed Apr 9 15:09:18 2025 read 54447959 relations Wed Apr 9 15:09:26 2025 using 20 quadratic characters above 4294917295 Wed Apr 9 15:09:34 2025 building initial matrix Wed Apr 9 15:22:15 2025 memory use: 7702.2 MB Wed Apr 9 15:22:29 2025 read 15344691 cycles Wed Apr 9 15:22:31 2025 matrix is 15344514 x 15344691 (8175.1 MB) with weight 2467427395 (160.80/col) Wed Apr 9 15:22:31 2025 sparse part has weight 1974265760 (128.66/col) Wed Apr 9 15:26:53 2025 filtering completed in 2 passes Wed Apr 9 15:26:57 2025 matrix is 15343833 x 15344009 (8175.0 MB) with weight 2467390856 (160.80/col) Wed Apr 9 15:26:57 2025 sparse part has weight 1974251714 (128.67/col) Wed Apr 9 15:28:44 2025 BLanczosTime: 1774 Wed Apr 9 15:28:44 2025 elapsed time 04:32:01 Wed Apr 9 19:50:34 2025 Wed Apr 9 19:50:34 2025 Wed Apr 9 19:50:34 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 19:50:34 2025 random seeds: f77f818d 0b62b05e Wed Apr 9 19:50:34 2025 Using 96 OpenMP threads Wed Apr 9 19:50:34 2025 factoring 221437573501640894734654026099972290831295554387989543083404964296111295328329802038577789312424990907560473558197960197447688878495301605531296134551451361862837705462213437653093163 (183 digits) Wed Apr 9 19:50:34 2025 searching for 15-digit factors Wed Apr 9 19:50:34 2025 commencing number field sieve (183-digit input) Wed Apr 9 19:50:34 2025 R0: -155323390523853026437922079567985286 Wed Apr 9 19:50:34 2025 R1: 15468413934655919032619 Wed Apr 9 19:50:34 2025 A0: 1486484889289309058048595469453534840549716 Wed Apr 9 19:50:34 2025 A1: 418590822867635066996109452158220185 Wed Apr 9 19:50:34 2025 A2: -9268508017033093807579063170 Wed Apr 9 19:50:34 2025 A3: -12212429075418641429353 Wed Apr 9 19:50:34 2025 A4: 67143037836318 Wed Apr 9 19:50:34 2025 A5: 14696640 Wed Apr 9 19:50:34 2025 skew 14959293.48, size 7.862e-18, alpha -7.141, combined = 6.296e-14 rroots = 3 Wed Apr 9 19:50:34 2025 Wed Apr 9 19:50:34 2025 commencing linear algebra Wed Apr 9 19:50:34 2025 using VBITS=256 Wed Apr 9 19:50:34 2025 skipping matrix build Wed Apr 9 19:50:39 2025 matrix starts at (0, 0) Wed Apr 9 19:50:41 2025 matrix is 15343833 x 15344009 (8175.0 MB) with weight 2467390856 (160.80/col) Wed Apr 9 19:50:41 2025 sparse part has weight 1974251714 (128.67/col) Wed Apr 9 19:50:41 2025 saving the first 240 matrix rows for later Wed Apr 9 19:50:44 2025 matrix includes 256 packed rows Wed Apr 9 19:50:48 2025 matrix is 15343593 x 15344009 (7415.8 MB) with weight 1805231935 (117.65/col) Wed Apr 9 19:50:48 2025 sparse part has weight 1698491585 (110.69/col) Wed Apr 9 19:50:48 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Apr 9 19:51:23 2025 commencing Lanczos iteration (96 threads) Wed Apr 9 19:51:23 2025 memory use: 9838.5 MB Wed Apr 9 19:53:28 2025 linear algebra at 0.2%, ETA 17h 5m Wed Apr 9 19:56:22 2025 checking every 10000 dimensions, checkpointing every 940000 dimensions Thu Apr 10 11:34:28 2025 lanczos halted after 60118 iterations (dim = 15343593) Thu Apr 10 11:35:18 2025 recovered 32 nontrivial dependencies Thu Apr 10 11:35:19 2025 BLanczosTime: 56685 Thu Apr 10 11:35:19 2025 Thu Apr 10 11:35:19 2025 commencing square root phase Thu Apr 10 11:35:19 2025 handling dependencies 1 to 64 Thu Apr 10 11:35:19 2025 reading relations for dependency 1 Thu Apr 10 11:35:21 2025 read 7673424 cycles Thu Apr 10 11:35:37 2025 cycles contain 27228998 unique relations Thu Apr 10 11:44:59 2025 read 27228998 relations Thu Apr 10 11:47:14 2025 multiplying 27228998 relations Thu Apr 10 12:03:34 2025 multiply complete, coefficients have about 1694.86 million bits Thu Apr 10 12:03:39 2025 initial square root is modulo 40057189 Thu Apr 10 12:14:36 2025 GCD is 1, no factor found Thu Apr 10 12:14:36 2025 reading relations for dependency 2 Thu Apr 10 12:14:37 2025 read 7672889 cycles Thu Apr 10 12:14:52 2025 cycles contain 27226030 unique relations Thu Apr 10 12:23:41 2025 read 27226030 relations Thu Apr 10 12:25:15 2025 multiplying 27226030 relations Thu Apr 10 12:40:33 2025 multiply complete, coefficients have about 1694.67 million bits Thu Apr 10 12:40:37 2025 initial square root is modulo 39979301 Thu Apr 10 12:52:31 2025 sqrtTime: 4632 Thu Apr 10 12:52:31 2025 p89 factor: 91597175351671040339945353105084942285604648622448156211269463897385464847619678709261623 Thu Apr 10 12:52:31 2025 p94 factor: 2417515307120233474907266738527517412440421574972254781698870172188943128349568740822186967981 Thu Apr 10 12:52:31 2025 elapsed time 17:01:57