Sun Oct 19 11:31:34 2025 Sun Oct 19 11:31:34 2025 Sun Oct 19 11:31:34 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 19 11:31:34 2025 random seeds: 0e8643fd ae731990 Sun Oct 19 11:31:34 2025 MPI process 0 of 1 Sun Oct 19 11:31:34 2025 Using 32 OpenMP threads Sun Oct 19 11:31:34 2025 factoring 2551051999405841211024103565856154972583868535526436266180832883090306960484370865275895946527596344733658053590962012536453077789796511080666655258460123900942813434035301 (172 digits) Sun Oct 19 11:31:35 2025 searching for 15-digit factors Sun Oct 19 11:31:35 2025 commencing number field sieve (172-digit input) Sun Oct 19 11:31:35 2025 reversing signs of algebraic polynomial Sun Oct 19 11:31:35 2025 R0: -2344320841639325028104791066341604 Sun Oct 19 11:31:35 2025 R1: 351497259310461025318387 Sun Oct 19 11:31:35 2025 A0: 15902501998296954381122392800168033760416795 Sun Oct 19 11:31:35 2025 A1: 2692306790664081125824806125032090497 Sun Oct 19 11:31:35 2025 A2: -37912085383253802420080427505 Sun Oct 19 11:31:35 2025 A3: -1490448320202165829177 Sun Oct 19 11:31:35 2025 A4: 5209754396910 Sun Oct 19 11:31:35 2025 A5: 35280 Sun Oct 19 11:31:35 2025 skew 88080795.10, size 1.133e-16, alpha -8.631, combined = 3.112e-13 rroots = 5 Sun Oct 19 11:31:35 2025 Sun Oct 19 11:31:35 2025 commencing relation filtering Sun Oct 19 11:31:35 2025 setting target matrix density to 140.0 Sun Oct 19 11:31:35 2025 reversing signs of algebraic polynomial Sun Oct 19 11:31:35 2025 estimated available RAM is 257736.5 MB Sun Oct 19 11:31:35 2025 commencing duplicate removal, pass 1 Sun Oct 19 11:31:58 2025 error -1 reading relation 12625038 Sun Oct 19 11:32:26 2025 error -1 reading relation 28770114 Sun Oct 19 11:32:51 2025 error -1 reading relation 43527738 Sun Oct 19 11:35:15 2025 error -1 reading relation 140310138 Sun Oct 19 11:35:39 2025 error -1 reading relation 153697621 Sun Oct 19 11:36:14 2025 error -1 reading relation 170869150 Sun Oct 19 11:37:03 2025 error -1 reading relation 194995616 Sun Oct 19 11:37:09 2025 error -1 reading relation 199062421 Sun Oct 19 11:37:44 2025 error -1 reading relation 222229441 Sun Oct 19 11:37:46 2025 error -1 reading relation 223684325 Sun Oct 19 11:37:51 2025 error -1 reading relation 227062069 Sun Oct 19 11:37:55 2025 error -1 reading relation 230051364 Sun Oct 19 11:38:01 2025 error -1 reading relation 233509201 Sun Oct 19 11:38:10 2025 error -1 reading relation 239885474 Sun Oct 19 11:38:13 2025 error -1 reading relation 242064574 Sun Oct 19 11:38:14 2025 error -1 reading relation 242093548 Sun Oct 19 11:38:14 2025 error -1 reading relation 242115329 Sun Oct 19 11:38:14 2025 error -1 reading relation 242226122 Sun Oct 19 11:38:14 2025 error -1 reading relation 242226123 Sun Oct 19 11:38:14 2025 error -1 reading relation 242255853 Sun Oct 19 11:38:14 2025 error -1 reading relation 242381689 Sun Oct 19 11:38:15 2025 error -1 reading relation 243318152 Sun Oct 19 11:38:16 2025 error -1 reading relation 243929326 Sun Oct 19 11:38:16 2025 error -1 reading relation 243955297 Sun Oct 19 11:38:30 2025 error -1 reading relation 253281866 Sun Oct 19 11:38:56 2025 error -5 reading relation 270821079 Sun Oct 19 11:38:58 2025 error -1 reading relation 271779788 Sun Oct 19 11:39:15 2025 error -1 reading relation 283164474 Sun Oct 19 11:39:16 2025 error -1 reading relation 283963637 Sun Oct 19 11:39:29 2025 error -1 reading relation 292624770 Sun Oct 19 11:39:45 2025 skipped 1 relations with composite factors Sun Oct 19 11:39:45 2025 skipped 239 malformed relations Sun Oct 19 11:39:45 2025 found 61869285 hash collisions in 303122324 relations Sun Oct 19 11:40:07 2025 added 122214 free relations Sun Oct 19 11:40:07 2025 commencing duplicate removal, pass 2 Sun Oct 19 11:47:34 2025 found 65585595 duplicates and 237658943 unique relations Sun Oct 19 11:47:34 2025 memory use: 1705.5 MB Sun Oct 19 11:47:34 2025 reading ideals above 720000 Sun Oct 19 11:47:35 2025 commencing singleton removal, initial pass Sun Oct 19 12:19:37 2025 memory use: 5512.0 MB Sun Oct 19 12:19:37 2025 reading all ideals from disk Sun Oct 19 12:19:45 2025 memory use: 11243.9 MB Sun Oct 19 12:20:48 2025 keeping 185465925 ideals with weight <= 200, target excess is 1213663 Sun Oct 19 12:22:04 2025 commencing in-memory singleton removal Sun Oct 19 12:22:09 2025 begin with 237658943 relations and 185465925 unique ideals Sun Oct 19 12:22:34 2025 reduce to 187669508 relations and 132229628 ideals in 12 passes Sun Oct 19 12:22:34 2025 max relations containing the same ideal: 181 Sun Oct 19 12:24:32 2025 removing 8504697 relations and 6504697 ideals in 2000000 cliques Sun Oct 19 12:24:42 2025 commencing in-memory singleton removal Sun Oct 19 12:24:46 2025 begin with 179164811 relations and 132229628 unique ideals Sun Oct 19 12:24:58 2025 reduce to 178839486 relations and 125394857 ideals in 7 passes Sun Oct 19 12:24:58 2025 max relations containing the same ideal: 177 Sun Oct 19 12:26:37 2025 removing 6652218 relations and 4652218 ideals in 2000000 cliques Sun Oct 19 12:26:46 2025 commencing in-memory singleton removal Sun Oct 19 12:26:50 2025 begin with 172187268 relations and 125394857 unique ideals Sun Oct 19 12:27:03 2025 reduce to 171968071 relations and 120520715 ideals in 7 passes Sun Oct 19 12:27:03 2025 max relations containing the same ideal: 172 Sun Oct 19 12:28:50 2025 removing 6130919 relations and 4130919 ideals in 2000000 cliques Sun Oct 19 12:28:58 2025 commencing in-memory singleton removal Sun Oct 19 12:29:03 2025 begin with 165837152 relations and 120520715 unique ideals Sun Oct 19 12:29:12 2025 reduce to 165650125 relations and 116200493 ideals in 5 passes Sun Oct 19 12:29:12 2025 max relations containing the same ideal: 168 Sun Oct 19 12:30:58 2025 removing 5863280 relations and 3863280 ideals in 2000000 cliques Sun Oct 19 12:31:06 2025 commencing in-memory singleton removal Sun Oct 19 12:31:10 2025 begin with 159786845 relations and 116200493 unique ideals Sun Oct 19 12:31:20 2025 reduce to 159615350 relations and 112163724 ideals in 6 passes Sun Oct 19 12:31:20 2025 max relations containing the same ideal: 165 Sun Oct 19 12:33:01 2025 removing 5686843 relations and 3686843 ideals in 2000000 cliques Sun Oct 19 12:33:09 2025 commencing in-memory singleton removal Sun Oct 19 12:33:12 2025 begin with 153928507 relations and 112163724 unique ideals Sun Oct 19 12:33:21 2025 reduce to 153769285 relations and 108315692 ideals in 6 passes Sun Oct 19 12:33:21 2025 max relations containing the same ideal: 161 Sun Oct 19 12:34:52 2025 removing 5567291 relations and 3567291 ideals in 2000000 cliques Sun Oct 19 12:34:59 2025 commencing in-memory singleton removal Sun Oct 19 12:35:03 2025 begin with 148201994 relations and 108315692 unique ideals Sun Oct 19 12:35:11 2025 reduce to 148047248 relations and 104591702 ideals in 5 passes Sun Oct 19 12:35:11 2025 max relations containing the same ideal: 159 Sun Oct 19 12:36:42 2025 removing 5476187 relations and 3476187 ideals in 2000000 cliques Sun Oct 19 12:36:48 2025 commencing in-memory singleton removal Sun Oct 19 12:36:52 2025 begin with 142571061 relations and 104591702 unique ideals Sun Oct 19 12:36:59 2025 reduce to 142420441 relations and 100962892 ideals in 5 passes Sun Oct 19 12:36:59 2025 max relations containing the same ideal: 155 Sun Oct 19 12:38:18 2025 removing 5404555 relations and 3404555 ideals in 2000000 cliques Sun Oct 19 12:38:25 2025 commencing in-memory singleton removal Sun Oct 19 12:38:28 2025 begin with 137015886 relations and 100962892 unique ideals Sun Oct 19 12:38:35 2025 reduce to 136866962 relations and 97407327 ideals in 5 passes Sun Oct 19 12:38:35 2025 max relations containing the same ideal: 149 Sun Oct 19 12:40:04 2025 removing 5347997 relations and 3347997 ideals in 2000000 cliques Sun Oct 19 12:40:10 2025 commencing in-memory singleton removal Sun Oct 19 12:40:13 2025 begin with 131518965 relations and 97407327 unique ideals Sun Oct 19 12:40:19 2025 reduce to 131368908 relations and 93907150 ideals in 5 passes Sun Oct 19 12:40:19 2025 max relations containing the same ideal: 146 Sun Oct 19 12:41:38 2025 removing 5303848 relations and 3303848 ideals in 2000000 cliques Sun Oct 19 12:41:44 2025 commencing in-memory singleton removal Sun Oct 19 12:41:47 2025 begin with 126065060 relations and 93907150 unique ideals Sun Oct 19 12:41:53 2025 reduce to 125913700 relations and 90449684 ideals in 5 passes Sun Oct 19 12:41:53 2025 max relations containing the same ideal: 143 Sun Oct 19 12:43:07 2025 removing 5270991 relations and 3270991 ideals in 2000000 cliques Sun Oct 19 12:43:13 2025 commencing in-memory singleton removal Sun Oct 19 12:43:16 2025 begin with 120642709 relations and 90449684 unique ideals Sun Oct 19 12:43:22 2025 reduce to 120490735 relations and 87024318 ideals in 6 passes Sun Oct 19 12:43:22 2025 max relations containing the same ideal: 140 Sun Oct 19 12:44:34 2025 removing 5244060 relations and 3244060 ideals in 2000000 cliques Sun Oct 19 12:44:40 2025 commencing in-memory singleton removal Sun Oct 19 12:44:42 2025 begin with 115246675 relations and 87024318 unique ideals Sun Oct 19 12:44:49 2025 reduce to 115090409 relations and 83621588 ideals in 6 passes Sun Oct 19 12:44:49 2025 max relations containing the same ideal: 133 Sun Oct 19 12:45:58 2025 removing 5227387 relations and 3227387 ideals in 2000000 cliques Sun Oct 19 12:46:04 2025 commencing in-memory singleton removal Sun Oct 19 12:46:06 2025 begin with 109863022 relations and 83621588 unique ideals Sun Oct 19 12:46:13 2025 reduce to 109702631 relations and 80231206 ideals in 7 passes Sun Oct 19 12:46:13 2025 max relations containing the same ideal: 129 Sun Oct 19 12:47:24 2025 removing 5215386 relations and 3215386 ideals in 2000000 cliques Sun Oct 19 12:47:31 2025 commencing in-memory singleton removal Sun Oct 19 12:47:33 2025 begin with 104487245 relations and 80231206 unique ideals Sun Oct 19 12:47:38 2025 reduce to 104320535 relations and 76846165 ideals in 5 passes Sun Oct 19 12:47:38 2025 max relations containing the same ideal: 127 Sun Oct 19 12:48:56 2025 removing 5207358 relations and 3207358 ideals in 2000000 cliques Sun Oct 19 12:49:02 2025 commencing in-memory singleton removal Sun Oct 19 12:49:05 2025 begin with 99113177 relations and 76846165 unique ideals Sun Oct 19 12:49:12 2025 reduce to 98938612 relations and 73461026 ideals in 6 passes Sun Oct 19 12:49:12 2025 max relations containing the same ideal: 124 Sun Oct 19 12:50:24 2025 removing 5208483 relations and 3208483 ideals in 2000000 cliques Sun Oct 19 12:50:30 2025 commencing in-memory singleton removal Sun Oct 19 12:50:32 2025 begin with 93730129 relations and 73461026 unique ideals Sun Oct 19 12:50:37 2025 reduce to 93547005 relations and 70065882 ideals in 6 passes Sun Oct 19 12:50:37 2025 max relations containing the same ideal: 119 Sun Oct 19 12:51:38 2025 removing 5213515 relations and 3213515 ideals in 2000000 cliques Sun Oct 19 12:51:43 2025 commencing in-memory singleton removal Sun Oct 19 12:51:45 2025 begin with 88333490 relations and 70065882 unique ideals Sun Oct 19 12:51:50 2025 reduce to 88139265 relations and 66654178 ideals in 6 passes Sun Oct 19 12:51:50 2025 max relations containing the same ideal: 114 Sun Oct 19 12:52:45 2025 removing 5230764 relations and 3230764 ideals in 2000000 cliques Sun Oct 19 12:52:50 2025 commencing in-memory singleton removal Sun Oct 19 12:52:51 2025 begin with 82908501 relations and 66654178 unique ideals Sun Oct 19 12:52:56 2025 reduce to 82701820 relations and 63212413 ideals in 6 passes Sun Oct 19 12:52:56 2025 max relations containing the same ideal: 111 Sun Oct 19 12:53:49 2025 removing 5251496 relations and 3251496 ideals in 2000000 cliques Sun Oct 19 12:53:54 2025 commencing in-memory singleton removal Sun Oct 19 12:53:55 2025 begin with 77450324 relations and 63212413 unique ideals Sun Oct 19 12:54:00 2025 reduce to 77226594 relations and 59732198 ideals in 6 passes Sun Oct 19 12:54:00 2025 max relations containing the same ideal: 103 Sun Oct 19 12:54:50 2025 removing 5285625 relations and 3285625 ideals in 2000000 cliques Sun Oct 19 12:54:54 2025 commencing in-memory singleton removal Sun Oct 19 12:54:56 2025 begin with 71940969 relations and 59732198 unique ideals Sun Oct 19 12:55:00 2025 reduce to 71696864 relations and 56196748 ideals in 7 passes Sun Oct 19 12:55:00 2025 max relations containing the same ideal: 101 Sun Oct 19 12:55:49 2025 removing 5331997 relations and 3331997 ideals in 2000000 cliques Sun Oct 19 12:55:53 2025 commencing in-memory singleton removal Sun Oct 19 12:55:55 2025 begin with 66364867 relations and 56196748 unique ideals Sun Oct 19 12:55:58 2025 reduce to 66095941 relations and 52589221 ideals in 6 passes Sun Oct 19 12:55:58 2025 max relations containing the same ideal: 93 Sun Oct 19 12:56:42 2025 removing 5385943 relations and 3385943 ideals in 2000000 cliques Sun Oct 19 12:56:46 2025 commencing in-memory singleton removal Sun Oct 19 12:56:47 2025 begin with 60709998 relations and 52589221 unique ideals Sun Oct 19 12:56:51 2025 reduce to 60406906 relations and 48892153 ideals in 6 passes Sun Oct 19 12:56:51 2025 max relations containing the same ideal: 86 Sun Oct 19 12:57:31 2025 removing 5463596 relations and 3463596 ideals in 2000000 cliques Sun Oct 19 12:57:34 2025 commencing in-memory singleton removal Sun Oct 19 12:57:36 2025 begin with 54943310 relations and 48892153 unique ideals Sun Oct 19 12:57:39 2025 reduce to 54598962 relations and 45074318 ideals in 7 passes Sun Oct 19 12:57:39 2025 max relations containing the same ideal: 81 Sun Oct 19 12:58:17 2025 removing 5561583 relations and 3561583 ideals in 2000000 cliques Sun Oct 19 12:58:21 2025 commencing in-memory singleton removal Sun Oct 19 12:58:22 2025 begin with 49037379 relations and 45074318 unique ideals Sun Oct 19 12:58:25 2025 reduce to 48634565 relations and 41097317 ideals in 7 passes Sun Oct 19 12:58:25 2025 max relations containing the same ideal: 78 Sun Oct 19 12:58:58 2025 removing 5695868 relations and 3695868 ideals in 2000000 cliques Sun Oct 19 12:59:01 2025 commencing in-memory singleton removal Sun Oct 19 12:59:02 2025 begin with 42938697 relations and 41097317 unique ideals Sun Oct 19 12:59:04 2025 reduce to 42451636 relations and 36897500 ideals in 7 passes Sun Oct 19 12:59:04 2025 max relations containing the same ideal: 71 Sun Oct 19 12:59:35 2025 removing 5872600 relations and 3872600 ideals in 2000000 cliques Sun Oct 19 12:59:39 2025 commencing in-memory singleton removal Sun Oct 19 12:59:40 2025 begin with 36579036 relations and 36897500 unique ideals Sun Oct 19 12:59:42 2025 reduce to 35969620 relations and 32391029 ideals in 8 passes Sun Oct 19 12:59:42 2025 max relations containing the same ideal: 65 Sun Oct 19 13:00:05 2025 removing 6108453 relations and 4108453 ideals in 2000000 cliques Sun Oct 19 13:00:08 2025 commencing in-memory singleton removal Sun Oct 19 13:00:08 2025 begin with 29861167 relations and 32391029 unique ideals Sun Oct 19 13:00:10 2025 reduce to 29045146 relations and 27428373 ideals in 8 passes Sun Oct 19 13:00:10 2025 max relations containing the same ideal: 56 Sun Oct 19 13:00:32 2025 removing 1040480 relations and 831557 ideals in 208923 cliques Sun Oct 19 13:00:34 2025 commencing in-memory singleton removal Sun Oct 19 13:00:35 2025 begin with 28004666 relations and 27428373 unique ideals Sun Oct 19 13:00:36 2025 reduce to 27971866 relations and 26563807 ideals in 6 passes Sun Oct 19 13:00:36 2025 max relations containing the same ideal: 55 Sun Oct 19 13:01:02 2025 relations with 0 large ideals: 4163 Sun Oct 19 13:01:02 2025 relations with 1 large ideals: 39263 Sun Oct 19 13:01:02 2025 relations with 2 large ideals: 462639 Sun Oct 19 13:01:02 2025 relations with 3 large ideals: 2216481 Sun Oct 19 13:01:02 2025 relations with 4 large ideals: 5476541 Sun Oct 19 13:01:02 2025 relations with 5 large ideals: 7825213 Sun Oct 19 13:01:02 2025 relations with 6 large ideals: 6826168 Sun Oct 19 13:01:02 2025 relations with 7+ large ideals: 5121398 Sun Oct 19 13:01:02 2025 commencing 2-way merge Sun Oct 19 13:01:32 2025 reduce to 17883632 relation sets and 16475573 unique ideals Sun Oct 19 13:01:32 2025 commencing full merge Sun Oct 19 13:13:45 2025 memory use: 2026.8 MB Sun Oct 19 13:13:48 2025 found 7544275 cycles, need 7485773 Sun Oct 19 13:13:52 2025 weight of 7485773 cycles is about 1048442158 (140.06/cycle) Sun Oct 19 13:13:52 2025 distribution of cycle lengths: Sun Oct 19 13:13:52 2025 1 relations: 309805 Sun Oct 19 13:13:52 2025 2 relations: 384464 Sun Oct 19 13:13:52 2025 3 relations: 429897 Sun Oct 19 13:13:52 2025 4 relations: 449096 Sun Oct 19 13:13:52 2025 5 relations: 472671 Sun Oct 19 13:13:52 2025 6 relations: 482819 Sun Oct 19 13:13:52 2025 7 relations: 491746 Sun Oct 19 13:13:52 2025 8 relations: 483177 Sun Oct 19 13:13:52 2025 9 relations: 467187 Sun Oct 19 13:13:52 2025 10+ relations: 3514911 Sun Oct 19 13:13:52 2025 heaviest cycle: 28 relations Sun Oct 19 13:13:57 2025 commencing cycle optimization Sun Oct 19 13:14:31 2025 start with 73788440 relations Sun Oct 19 13:19:56 2025 pruned 4029655 relations Sun Oct 19 13:19:56 2025 memory use: 1888.6 MB Sun Oct 19 13:19:56 2025 distribution of cycle lengths: Sun Oct 19 13:19:56 2025 1 relations: 309805 Sun Oct 19 13:19:56 2025 2 relations: 395149 Sun Oct 19 13:19:56 2025 3 relations: 449304 Sun Oct 19 13:19:56 2025 4 relations: 470032 Sun Oct 19 13:19:56 2025 5 relations: 500434 Sun Oct 19 13:19:56 2025 6 relations: 512431 Sun Oct 19 13:19:56 2025 7 relations: 524899 Sun Oct 19 13:19:56 2025 8 relations: 514573 Sun Oct 19 13:19:56 2025 9 relations: 499300 Sun Oct 19 13:19:56 2025 10+ relations: 3309846 Sun Oct 19 13:19:56 2025 heaviest cycle: 28 relations Sun Oct 19 13:20:17 2025 RelProcTime: 6522 Sun Oct 19 13:20:17 2025 Sun Oct 19 13:20:17 2025 commencing linear algebra Sun Oct 19 13:20:17 2025 using VBITS=256 Sun Oct 19 13:20:17 2025 stopping after matrix build Sun Oct 19 13:20:17 2025 initialized process (0,0) of 1 x 1 grid Sun Oct 19 13:20:17 2025 reversing signs of algebraic polynomial Sun Oct 19 13:20:19 2025 read 7485773 cycles Sun Oct 19 13:20:48 2025 cycles contain 27245112 unique relations Sun Oct 19 13:26:57 2025 read 27245112 relations Sun Oct 19 13:27:02 2025 using 20 quadratic characters above 4294917295 Sun Oct 19 13:27:06 2025 building initial matrix Sun Oct 19 13:37:47 2025 memory use: 3806.7 MB Sun Oct 19 13:37:56 2025 read 7485773 cycles Sun Oct 19 13:37:58 2025 matrix is 7485596 x 7485773 (3996.8 MB) with weight 1221275861 (163.15/col) Sun Oct 19 13:37:58 2025 sparse part has weight 957903234 (127.96/col) Sun Oct 19 13:40:20 2025 filtering completed in 2 passes Sun Oct 19 13:40:23 2025 matrix is 7485385 x 7485562 (3996.8 MB) with weight 1221263872 (163.15/col) Sun Oct 19 13:40:23 2025 sparse part has weight 957899320 (127.97/col) Sun Oct 19 13:41:19 2025 BLanczosTime: 1262 Sun Oct 19 13:41:19 2025 elapsed time 02:09:45 Sun Oct 19 13:46:49 2025 Sun Oct 19 13:46:49 2025 Sun Oct 19 13:46:49 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 19 13:46:49 2025 random seeds: d908656c ef8f9f09 Sun Oct 19 13:46:49 2025 MPI process 0 of 1 Sun Oct 19 13:46:49 2025 Using 64 OpenMP threads Sun Oct 19 13:46:49 2025 factoring 2551051999405841211024103565856154972583868535526436266180832883090306960484370865275895946527596344733658053590962012536453077789796511080666655258460123900942813434035301 (172 digits) Sun Oct 19 13:46:50 2025 searching for 15-digit factors Sun Oct 19 13:46:51 2025 commencing number field sieve (172-digit input) Sun Oct 19 13:46:51 2025 reversing signs of algebraic polynomial Sun Oct 19 13:46:51 2025 R0: -2344320841639325028104791066341604 Sun Oct 19 13:46:51 2025 R1: 351497259310461025318387 Sun Oct 19 13:46:51 2025 A0: 15902501998296954381122392800168033760416795 Sun Oct 19 13:46:51 2025 A1: 2692306790664081125824806125032090497 Sun Oct 19 13:46:51 2025 A2: -37912085383253802420080427505 Sun Oct 19 13:46:51 2025 A3: -1490448320202165829177 Sun Oct 19 13:46:51 2025 A4: 5209754396910 Sun Oct 19 13:46:51 2025 A5: 35280 Sun Oct 19 13:46:51 2025 skew 88080795.10, size 1.133e-16, alpha -8.631, combined = 3.112e-13 rroots = 5 Sun Oct 19 13:46:51 2025 Sun Oct 19 13:46:51 2025 commencing linear algebra Sun Oct 19 13:46:51 2025 using VBITS=256 Sun Oct 19 13:46:51 2025 skipping matrix build Sun Oct 19 13:46:51 2025 initialized process (0,0) of 1 x 1 grid Sun Oct 19 13:46:58 2025 matrix starts at (0, 0) Sun Oct 19 13:47:00 2025 matrix is 7485385 x 7485562 (3996.8 MB) with weight 1221263872 (163.15/col) Sun Oct 19 13:47:00 2025 sparse part has weight 957899320 (127.97/col) Sun Oct 19 13:47:00 2025 saving the first 240 matrix rows for later Sun Oct 19 13:47:03 2025 matrix includes 256 packed rows Sun Oct 19 13:47:08 2025 matrix is 7485145 x 7485562 (3597.3 MB) with weight 879110322 (117.44/col) Sun Oct 19 13:47:08 2025 sparse part has weight 823230778 (109.98/col) Sun Oct 19 13:47:08 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Oct 19 13:47:28 2025 commencing Lanczos iteration (64 threads) Sun Oct 19 13:47:28 2025 memory use: 4984.0 MB Sun Oct 19 13:48:32 2025 linear algebra at 0.4%, ETA 4h11m Sun Oct 19 13:50:03 2025 checking every 30000 dimensions, checkpointing every 1830000 dimensions Sun Oct 19 17:54:13 2025 lanczos halted after 29328 iterations (dim = 7485145) Sun Oct 19 17:54:48 2025 recovered 28 nontrivial dependencies Sun Oct 19 17:54:49 2025 BLanczosTime: 14878 Sun Oct 19 17:54:49 2025 Sun Oct 19 17:54:49 2025 commencing square root phase Sun Oct 19 17:54:49 2025 reversing signs of algebraic polynomial Sun Oct 19 17:54:49 2025 handling dependencies 1 to 64 Sun Oct 19 17:54:49 2025 reading relations for dependency 1 Sun Oct 19 17:54:51 2025 read 3744486 cycles Sun Oct 19 17:55:03 2025 cycles contain 13623726 unique relations Sun Oct 19 18:01:09 2025 read 13623726 relations Sun Oct 19 18:03:08 2025 multiplying 13623726 relations Sun Oct 19 18:05:48 2025 multiply complete, coefficients have about 747.03 million bits Sun Oct 19 18:05:52 2025 initial square root is modulo 5034847 Sun Oct 19 18:14:38 2025 sqrtTime: 1189 Sun Oct 19 18:14:38 2025 p69 factor: 344016131338711957120750873354114117813350295838966716574724921479419 Sun Oct 19 18:14:38 2025 p103 factor: 7415501097226520233585887841374763755201224804022923281721245474194621377836047776167814264554135054879 Sun Oct 19 18:14:38 2025 elapsed time 04:27:49