Wed Feb 5 02:54:02 2025 Wed Feb 5 02:54:02 2025 Wed Feb 5 02:54:02 2025 Msieve v. 1.54 (SVN unknown) Wed Feb 5 02:54:02 2025 random seeds: d5248a86 48ea0585 Wed Feb 5 02:54:02 2025 factoring 11819874385572368985726837821125067148419243457906156645489133027771987740468341057767558032402795628826570199826606394005211525887541648223363575987514761526189347882496096397632026403433453539197502995801977685997569 (218 digits) Wed Feb 5 02:54:04 2025 no P-1/P+1/ECM available, skipping Wed Feb 5 02:54:04 2025 commencing number field sieve (218-digit input) Wed Feb 5 02:54:04 2025 R0: 11150372599265311570767859136324180752990208 Wed Feb 5 02:54:04 2025 R1: -1 Wed Feb 5 02:54:04 2025 A0: -1 Wed Feb 5 02:54:04 2025 A1: 0 Wed Feb 5 02:54:04 2025 A2: 0 Wed Feb 5 02:54:04 2025 A3: 0 Wed Feb 5 02:54:04 2025 A4: 0 Wed Feb 5 02:54:04 2025 A5: 0 Wed Feb 5 02:54:04 2025 A6: 10 Wed Feb 5 02:54:04 2025 skew 0.88, size 1.073e-12, alpha 1.180, combined = 1.207e-13 rroots = 2 Wed Feb 5 02:54:04 2025 Wed Feb 5 02:54:04 2025 commencing relation filtering Wed Feb 5 02:54:04 2025 setting target matrix density to 110.0 Wed Feb 5 02:54:04 2025 estimated available RAM is 128798.6 MB Wed Feb 5 02:54:04 2025 commencing duplicate removal, pass 1 Wed Feb 5 03:14:31 2025 error -15 reading relation 86993560 Wed Feb 5 03:26:27 2025 error -11 reading relation 114232440 Wed Feb 5 03:56:02 2025 error -11 reading relation 240132143 Wed Feb 5 03:58:29 2025 error -15 reading relation 253831318 Wed Feb 5 04:01:56 2025 error -11 reading relation 273386506 Wed Feb 5 04:14:43 2025 skipped 841 relations with b > 2^32 Wed Feb 5 04:14:43 2025 skipped 5 relations with composite factors Wed Feb 5 04:14:43 2025 skipped 1 malformed relations Wed Feb 5 04:14:43 2025 found 13104567 hash collisions in 344460204 relations Wed Feb 5 04:15:01 2025 added 1218323 free relations Wed Feb 5 04:15:01 2025 commencing duplicate removal, pass 2 Wed Feb 5 04:18:52 2025 found 0 duplicates and 345678527 unique relations Wed Feb 5 04:18:52 2025 memory use: 1044.8 MB Wed Feb 5 04:18:52 2025 reading ideals above 720000 Wed Feb 5 04:18:52 2025 commencing singleton removal, initial pass Wed Feb 5 05:11:52 2025 memory use: 6024.0 MB Wed Feb 5 05:11:52 2025 reading all ideals from disk Wed Feb 5 05:12:02 2025 memory use: 16807.7 MB Wed Feb 5 05:13:02 2025 keeping 318568571 ideals with weight <= 200, target excess is 1783708 Wed Feb 5 05:13:54 2025 commencing in-memory singleton removal Wed Feb 5 05:15:50 2025 begin with 345678527 relations and 318568571 unique ideals Wed Feb 5 05:21:31 2025 reduce to 211364835 relations and 170084312 ideals in 15 passes Wed Feb 5 05:21:31 2025 max relations containing the same ideal: 155 Wed Feb 5 05:24:37 2025 removing 12770929 relations and 10770929 ideals in 2000000 cliques Wed Feb 5 05:24:45 2025 commencing in-memory singleton removal Wed Feb 5 05:26:05 2025 begin with 198593906 relations and 170084312 unique ideals Wed Feb 5 05:28:42 2025 reduce to 198002219 relations and 158714110 ideals in 8 passes Wed Feb 5 05:28:42 2025 max relations containing the same ideal: 147 Wed Feb 5 05:31:34 2025 removing 9665130 relations and 7665130 ideals in 2000000 cliques Wed Feb 5 05:31:42 2025 commencing in-memory singleton removal Wed Feb 5 05:32:57 2025 begin with 188337089 relations and 158714110 unique ideals Wed Feb 5 05:35:25 2025 reduce to 187953696 relations and 150661398 ideals in 8 passes Wed Feb 5 05:35:25 2025 max relations containing the same ideal: 145 Wed Feb 5 05:38:00 2025 removing 8693404 relations and 6693404 ideals in 2000000 cliques Wed Feb 5 05:38:07 2025 commencing in-memory singleton removal Wed Feb 5 05:39:09 2025 begin with 179260292 relations and 150661398 unique ideals Wed Feb 5 05:41:01 2025 reduce to 178928331 relations and 143632471 ideals in 7 passes Wed Feb 5 05:41:01 2025 max relations containing the same ideal: 140 Wed Feb 5 05:43:18 2025 removing 8169370 relations and 6169370 ideals in 2000000 cliques Wed Feb 5 05:43:25 2025 commencing in-memory singleton removal Wed Feb 5 05:44:16 2025 begin with 170758961 relations and 143632471 unique ideals Wed Feb 5 05:45:50 2025 reduce to 170451331 relations and 137152208 ideals in 7 passes Wed Feb 5 05:45:50 2025 max relations containing the same ideal: 135 Wed Feb 5 05:47:56 2025 removing 7838792 relations and 5838792 ideals in 2000000 cliques Wed Feb 5 05:48:02 2025 commencing in-memory singleton removal Wed Feb 5 05:48:49 2025 begin with 162612539 relations and 137152208 unique ideals Wed Feb 5 05:50:16 2025 reduce to 162317310 relations and 131014929 ideals in 7 passes Wed Feb 5 05:50:16 2025 max relations containing the same ideal: 131 Wed Feb 5 05:52:11 2025 removing 7603221 relations and 5603221 ideals in 2000000 cliques Wed Feb 5 05:52:17 2025 commencing in-memory singleton removal Wed Feb 5 05:53:02 2025 begin with 154714089 relations and 131014929 unique ideals Wed Feb 5 05:54:24 2025 reduce to 154425132 relations and 125119412 ideals in 7 passes Wed Feb 5 05:54:24 2025 max relations containing the same ideal: 125 Wed Feb 5 05:56:13 2025 removing 7436196 relations and 5436196 ideals in 2000000 cliques Wed Feb 5 05:56:19 2025 commencing in-memory singleton removal Wed Feb 5 05:57:02 2025 begin with 146988936 relations and 125119412 unique ideals Wed Feb 5 05:58:19 2025 reduce to 146699407 relations and 119390148 ideals in 7 passes Wed Feb 5 05:58:19 2025 max relations containing the same ideal: 122 Wed Feb 5 06:00:03 2025 removing 7314051 relations and 5314051 ideals in 2000000 cliques Wed Feb 5 06:00:08 2025 commencing in-memory singleton removal Wed Feb 5 06:00:48 2025 begin with 139385356 relations and 119390148 unique ideals Wed Feb 5 06:02:01 2025 reduce to 139094882 relations and 113781961 ideals in 7 passes Wed Feb 5 06:02:01 2025 max relations containing the same ideal: 119 Wed Feb 5 06:03:39 2025 removing 7219074 relations and 5219074 ideals in 2000000 cliques Wed Feb 5 06:03:44 2025 commencing in-memory singleton removal Wed Feb 5 06:04:22 2025 begin with 131875808 relations and 113781961 unique ideals Wed Feb 5 06:05:31 2025 reduce to 131579546 relations and 108262728 ideals in 7 passes Wed Feb 5 06:05:31 2025 max relations containing the same ideal: 115 Wed Feb 5 06:07:02 2025 removing 7157454 relations and 5157454 ideals in 2000000 cliques Wed Feb 5 06:07:07 2025 commencing in-memory singleton removal Wed Feb 5 06:07:42 2025 begin with 124422092 relations and 108262728 unique ideals Wed Feb 5 06:08:47 2025 reduce to 124117676 relations and 102796687 ideals in 7 passes Wed Feb 5 06:08:47 2025 max relations containing the same ideal: 111 Wed Feb 5 06:10:12 2025 removing 7109114 relations and 5109114 ideals in 2000000 cliques Wed Feb 5 06:10:17 2025 commencing in-memory singleton removal Wed Feb 5 06:10:50 2025 begin with 117008562 relations and 102796687 unique ideals Wed Feb 5 06:11:51 2025 reduce to 116691305 relations and 97365741 ideals in 7 passes Wed Feb 5 06:11:51 2025 max relations containing the same ideal: 111 Wed Feb 5 06:13:11 2025 removing 7085332 relations and 5085332 ideals in 2000000 cliques Wed Feb 5 06:13:16 2025 commencing in-memory singleton removal Wed Feb 5 06:13:47 2025 begin with 109605973 relations and 97365741 unique ideals Wed Feb 5 06:14:43 2025 reduce to 109272695 relations and 91941955 ideals in 7 passes Wed Feb 5 06:14:43 2025 max relations containing the same ideal: 107 Wed Feb 5 06:15:58 2025 removing 7076817 relations and 5076817 ideals in 2000000 cliques Wed Feb 5 06:16:03 2025 commencing in-memory singleton removal Wed Feb 5 06:16:31 2025 begin with 102195878 relations and 91941955 unique ideals Wed Feb 5 06:17:23 2025 reduce to 101841276 relations and 86504817 ideals in 7 passes Wed Feb 5 06:17:23 2025 max relations containing the same ideal: 98 Wed Feb 5 06:18:33 2025 removing 7090468 relations and 5090468 ideals in 2000000 cliques Wed Feb 5 06:18:38 2025 commencing in-memory singleton removal Wed Feb 5 06:19:04 2025 begin with 94750808 relations and 86504817 unique ideals Wed Feb 5 06:19:52 2025 reduce to 94371557 relations and 81028566 ideals in 7 passes Wed Feb 5 06:19:52 2025 max relations containing the same ideal: 96 Wed Feb 5 06:20:57 2025 removing 7115892 relations and 5115892 ideals in 2000000 cliques Wed Feb 5 06:21:01 2025 commencing in-memory singleton removal Wed Feb 5 06:21:25 2025 begin with 87255665 relations and 81028566 unique ideals Wed Feb 5 06:22:09 2025 reduce to 86845162 relations and 75494560 ideals in 7 passes Wed Feb 5 06:22:09 2025 max relations containing the same ideal: 91 Wed Feb 5 06:23:09 2025 removing 7164479 relations and 5164479 ideals in 2000000 cliques Wed Feb 5 06:23:13 2025 commencing in-memory singleton removal Wed Feb 5 06:23:35 2025 begin with 79680683 relations and 75494560 unique ideals Wed Feb 5 06:24:19 2025 reduce to 79227128 relations and 69867369 ideals in 8 passes Wed Feb 5 06:24:19 2025 max relations containing the same ideal: 85 Wed Feb 5 06:25:14 2025 removing 7235447 relations and 5235447 ideals in 2000000 cliques Wed Feb 5 06:25:18 2025 commencing in-memory singleton removal Wed Feb 5 06:25:37 2025 begin with 71991681 relations and 69867369 unique ideals Wed Feb 5 06:26:17 2025 reduce to 71481785 relations and 64111133 ideals in 8 passes Wed Feb 5 06:26:17 2025 max relations containing the same ideal: 79 Wed Feb 5 06:27:07 2025 removing 7336034 relations and 5336034 ideals in 2000000 cliques Wed Feb 5 06:27:11 2025 commencing in-memory singleton removal Wed Feb 5 06:27:28 2025 begin with 64145751 relations and 64111133 unique ideals Wed Feb 5 06:28:03 2025 reduce to 63557575 relations and 58172907 ideals in 8 passes Wed Feb 5 06:28:03 2025 max relations containing the same ideal: 70 Wed Feb 5 06:28:47 2025 removing 7471006 relations and 5471006 ideals in 2000000 cliques Wed Feb 5 06:28:51 2025 commencing in-memory singleton removal Wed Feb 5 06:29:05 2025 begin with 56086569 relations and 58172907 unique ideals Wed Feb 5 06:29:40 2025 reduce to 55393175 relations and 51990082 ideals in 9 passes Wed Feb 5 06:29:40 2025 max relations containing the same ideal: 64 Wed Feb 5 06:30:18 2025 removing 5550302 relations and 4216311 ideals in 1333991 cliques Wed Feb 5 06:30:21 2025 commencing in-memory singleton removal Wed Feb 5 06:30:34 2025 begin with 49842873 relations and 51990082 unique ideals Wed Feb 5 06:31:04 2025 reduce to 49403324 relations and 47325045 ideals in 9 passes Wed Feb 5 06:31:04 2025 max relations containing the same ideal: 59 Wed Feb 5 06:31:38 2025 removing 80160 relations and 70983 ideals in 9177 cliques Wed Feb 5 06:31:40 2025 commencing in-memory singleton removal Wed Feb 5 06:31:52 2025 begin with 49323164 relations and 47325045 unique ideals Wed Feb 5 06:32:06 2025 reduce to 49323074 relations and 47253972 ideals in 4 passes Wed Feb 5 06:32:06 2025 max relations containing the same ideal: 59 Wed Feb 5 06:32:15 2025 relations with 0 large ideals: 66272 Wed Feb 5 06:32:15 2025 relations with 1 large ideals: 59204 Wed Feb 5 06:32:15 2025 relations with 2 large ideals: 630768 Wed Feb 5 06:32:15 2025 relations with 3 large ideals: 3163458 Wed Feb 5 06:32:15 2025 relations with 4 large ideals: 8399214 Wed Feb 5 06:32:15 2025 relations with 5 large ideals: 13055207 Wed Feb 5 06:32:15 2025 relations with 6 large ideals: 12453219 Wed Feb 5 06:32:15 2025 relations with 7+ large ideals: 11495732 Wed Feb 5 06:32:15 2025 commencing 2-way merge Wed Feb 5 06:33:07 2025 reduce to 30315259 relation sets and 28246156 unique ideals Wed Feb 5 06:33:07 2025 commencing full merge Wed Feb 5 06:44:03 2025 memory use: 3562.8 MB Wed Feb 5 06:44:06 2025 found 13917586 cycles, need 13706356 Wed Feb 5 06:44:11 2025 weight of 13706356 cycles is about 1508232200 (110.04/cycle) Wed Feb 5 06:44:11 2025 distribution of cycle lengths: Wed Feb 5 06:44:11 2025 1 relations: 1045603 Wed Feb 5 06:44:11 2025 2 relations: 995688 Wed Feb 5 06:44:11 2025 3 relations: 1013792 Wed Feb 5 06:44:11 2025 4 relations: 1006845 Wed Feb 5 06:44:11 2025 5 relations: 1004568 Wed Feb 5 06:44:11 2025 6 relations: 992997 Wed Feb 5 06:44:11 2025 7 relations: 963079 Wed Feb 5 06:44:11 2025 8 relations: 920210 Wed Feb 5 06:44:11 2025 9 relations: 864667 Wed Feb 5 06:44:11 2025 10+ relations: 4898907 Wed Feb 5 06:44:11 2025 heaviest cycle: 27 relations Wed Feb 5 06:44:16 2025 commencing cycle optimization Wed Feb 5 06:44:46 2025 start with 110894663 relations Wed Feb 5 06:48:37 2025 pruned 4365700 relations Wed Feb 5 06:48:38 2025 memory use: 3134.4 MB Wed Feb 5 06:48:38 2025 distribution of cycle lengths: Wed Feb 5 06:48:38 2025 1 relations: 1045603 Wed Feb 5 06:48:38 2025 2 relations: 1017499 Wed Feb 5 06:48:38 2025 3 relations: 1051696 Wed Feb 5 06:48:38 2025 4 relations: 1043340 Wed Feb 5 06:48:38 2025 5 relations: 1048824 Wed Feb 5 06:48:38 2025 6 relations: 1035214 Wed Feb 5 06:48:38 2025 7 relations: 1007614 Wed Feb 5 06:48:38 2025 8 relations: 960172 Wed Feb 5 06:48:38 2025 9 relations: 899361 Wed Feb 5 06:48:38 2025 10+ relations: 4597033 Wed Feb 5 06:48:38 2025 heaviest cycle: 27 relations Wed Feb 5 06:49:13 2025 RelProcTime: 14109 Wed Feb 5 06:49:13 2025 elapsed time 03:55:11 Wed Feb 5 14:41:20 2025 Wed Feb 5 14:41:20 2025 Wed Feb 5 14:41:20 2025 Msieve v. 1.54 (SVN unknown) Wed Feb 5 14:41:20 2025 random seeds: fab2e554 ac986ab8 Wed Feb 5 14:41:20 2025 factoring 11819874385572368985726837821125067148419243457906156645489133027771987740468341057767558032402795628826570199826606394005211525887541648223363575987514761526189347882496096397632026403433453539197502995801977685997569 (218 digits) Wed Feb 5 14:41:22 2025 no P-1/P+1/ECM available, skipping Wed Feb 5 14:41:22 2025 commencing number field sieve (218-digit input) Wed Feb 5 14:41:22 2025 R0: 11150372599265311570767859136324180752990208 Wed Feb 5 14:41:22 2025 R1: -1 Wed Feb 5 14:41:22 2025 A0: -1 Wed Feb 5 14:41:22 2025 A1: 0 Wed Feb 5 14:41:22 2025 A2: 0 Wed Feb 5 14:41:22 2025 A3: 0 Wed Feb 5 14:41:22 2025 A4: 0 Wed Feb 5 14:41:22 2025 A5: 0 Wed Feb 5 14:41:22 2025 A6: 10 Wed Feb 5 14:41:22 2025 skew 0.88, size 1.073e-12, alpha 1.180, combined = 1.207e-13 rroots = 2 Wed Feb 5 14:41:22 2025 Wed Feb 5 14:41:22 2025 commencing linear algebra Wed Feb 5 14:41:22 2025 using VBITS=128 Wed Feb 5 14:41:25 2025 read 13706356 cycles Wed Feb 5 14:42:03 2025 cycles contain 48056225 unique relations Wed Feb 5 15:01:23 2025 read 48056225 relations Wed Feb 5 15:03:27 2025 using 20 quadratic characters above 4294917295 Wed Feb 5 15:08:35 2025 building initial matrix Wed Feb 5 15:26:28 2025 memory use: 6042.7 MB Wed Feb 5 15:26:45 2025 read 13706356 cycles Wed Feb 5 15:26:48 2025 matrix is 13706173 x 13706356 (5989.2 MB) with weight 1720894664 (125.55/col) Wed Feb 5 15:26:48 2025 sparse part has weight 1419260485 (103.55/col) Wed Feb 5 15:30:12 2025 filtering completed in 2 passes Wed Feb 5 15:30:16 2025 matrix is 13703988 x 13704171 (5989.0 MB) with weight 1720808100 (125.57/col) Wed Feb 5 15:30:16 2025 sparse part has weight 1419222547 (103.56/col) Wed Feb 5 15:31:37 2025 matrix starts at (0, 0) Wed Feb 5 15:31:40 2025 matrix is 13703988 x 13704171 (5989.0 MB) with weight 1720808100 (125.57/col) Wed Feb 5 15:31:40 2025 sparse part has weight 1419222547 (103.56/col) Wed Feb 5 15:31:40 2025 saving the first 112 matrix rows for later Wed Feb 5 15:31:44 2025 matrix includes 128 packed rows Wed Feb 5 15:31:49 2025 matrix is 13703876 x 13704171 (5623.2 MB) with weight 1376023798 (100.41/col) Wed Feb 5 15:31:49 2025 sparse part has weight 1309643639 (95.57/col) Wed Feb 5 15:31:51 2025 using GPU 0 (Tesla P100-PCIE-16GB) Wed Feb 5 15:31:51 2025 selected card has CUDA arch 6.0 Wed Feb 5 15:37:52 2025 commencing Lanczos iteration Wed Feb 5 15:37:52 2025 memory use: 11769.2 MB Wed Feb 5 15:40:01 2025 linear algebra at 0.2%, ETA 15h40m Wed Feb 5 15:40:33 2025 checking every 10000 dimensions, checkpointing every 880000 dimensions Thu Feb 6 07:14:10 2025 lanczos halted after 107704 iterations (dim = 13703872) Thu Feb 6 07:14:47 2025 recovered 33 nontrivial dependencies Thu Feb 6 07:14:48 2025 BLanczosTime: 59606 Thu Feb 6 07:14:48 2025 Thu Feb 6 07:14:48 2025 commencing square root phase Thu Feb 6 07:14:48 2025 reading relations for dependency 1 Thu Feb 6 07:14:55 2025 read 6851984 cycles Thu Feb 6 07:15:20 2025 cycles contain 24032174 unique relations Thu Feb 6 07:21:00 2025 read 24032174 relations Thu Feb 6 07:24:24 2025 multiplying 24032174 relations Thu Feb 6 08:00:36 2025 multiply complete, coefficients have about 691.67 million bits Thu Feb 6 08:00:40 2025 initial square root is modulo 1604419 Thu Feb 6 08:29:11 2025 sqrtTime: 4463 Thu Feb 6 08:29:11 2025 p92 factor: 61384140982406825423302403452226892245704357191544410751530121020075431340020583434697609689 Thu Feb 6 08:29:11 2025 p126 factor: 192555832767294688824646756057834456234869755906368843732215158475589743980266151360885537794331760971387482019476900132066921 Thu Feb 6 08:29:11 2025 elapsed time 17:47:51