Sat Apr 1 15:52:55 2023 Msieve v. 1.54 (SVN 03e8738) Sat Apr 1 15:52:55 2023 random seeds: 068151c9 09857767 Sat Apr 1 15:52:55 2023 Using 16 OpenMP threads Sat Apr 1 15:52:55 2023 factoring 56640287762738400206947454068025771571383582304583804644705996557790237001440806048829192751159727602439538475750016685012763577946311169379249195417073934049896054383311100228524746982726443204937393647075622959089 (215 digits) Sat Apr 1 15:52:55 2023 no P-1/P+1/ECM available, skipping Sat Apr 1 15:52:55 2023 commencing number field sieve (215-digit input) Sat Apr 1 15:52:55 2023 R0: 706965049015104706497203195837614914543357369 Sat Apr 1 15:52:55 2023 R1: -140737488355328 Sat Apr 1 15:52:55 2023 A0: -9 Sat Apr 1 15:52:55 2023 A1: 0 Sat Apr 1 15:52:55 2023 A2: 0 Sat Apr 1 15:52:55 2023 A3: 0 Sat Apr 1 15:52:55 2023 A4: 0 Sat Apr 1 15:52:55 2023 A5: 0 Sat Apr 1 15:52:55 2023 A6: 2 Sat Apr 1 15:52:55 2023 skew 1.28, size 3.536e-13, alpha 0.938, combined = 5.191e-14 rroots = 2 Sat Apr 1 15:52:55 2023 Sat Apr 1 15:52:55 2023 commencing relation filtering Sat Apr 1 15:52:55 2023 setting target matrix density to 110.0 Sat Apr 1 15:52:55 2023 estimated available RAM is 64238.6 MB Sat Apr 1 15:52:55 2023 commencing duplicate removal, pass 1 Sat Apr 1 15:54:13 2023 error -15 reading relation 125501517 Sat Apr 1 15:55:39 2023 error -15 reading relation 264201159 Sat Apr 1 15:55:39 2023 error -11 reading relation 264201685 Sat Apr 1 15:55:39 2023 error -11 reading relation 264202491 Sat Apr 1 15:55:39 2023 error -15 reading relation 264203018 Sat Apr 1 15:55:39 2023 error -11 reading relation 264203550 Sat Apr 1 15:55:39 2023 error -15 reading relation 264203880 Sat Apr 1 15:55:39 2023 error -11 reading relation 264204325 Sat Apr 1 15:55:39 2023 error -11 reading relation 264204375 Sat Apr 1 15:55:39 2023 error -11 reading relation 264204432 Sat Apr 1 15:55:39 2023 error -15 reading relation 264204847 Sat Apr 1 15:55:39 2023 error -11 reading relation 264205412 Sat Apr 1 15:55:39 2023 error -1 reading relation 264205800 Sat Apr 1 15:55:39 2023 error -11 reading relation 264205899 Sat Apr 1 15:55:39 2023 error -11 reading relation 264205955 Sat Apr 1 15:55:39 2023 error -11 reading relation 264206305 Sat Apr 1 15:55:39 2023 error -15 reading relation 264206461 Sat Apr 1 15:55:39 2023 error -1 reading relation 264206731 Sat Apr 1 15:55:39 2023 error -11 reading relation 264207839 Sat Apr 1 15:55:39 2023 error -1 reading relation 264208290 Sat Apr 1 15:55:39 2023 error -11 reading relation 264208412 Sat Apr 1 15:55:39 2023 error -15 reading relation 264208780 Sat Apr 1 15:55:39 2023 error -15 reading relation 264208823 Sat Apr 1 15:55:39 2023 error -15 reading relation 264210375 Sat Apr 1 15:55:39 2023 error -15 reading relation 264441561 Sat Apr 1 15:55:54 2023 skipped 900 relations with b > 2^32 Sat Apr 1 15:55:54 2023 skipped 2 malformed relations Sat Apr 1 15:55:54 2023 found 17727649 hash collisions in 288262155 relations Sat Apr 1 15:56:02 2023 added 1218996 free relations Sat Apr 1 15:56:02 2023 commencing duplicate removal, pass 2 Sat Apr 1 15:56:52 2023 found 0 duplicates and 289481151 unique relations Sat Apr 1 15:56:52 2023 memory use: 852.8 MB Sat Apr 1 15:56:52 2023 reading ideals above 720000 Sat Apr 1 15:56:52 2023 commencing singleton removal, initial pass Sat Apr 1 16:05:10 2023 memory use: 6024.0 MB Sat Apr 1 16:05:11 2023 reading all ideals from disk Sat Apr 1 16:05:13 2023 memory use: 14365.9 MB Sat Apr 1 16:05:27 2023 keeping 264551493 ideals with weight <= 200, target excess is 1489788 Sat Apr 1 16:05:45 2023 commencing in-memory singleton removal Sat Apr 1 16:05:51 2023 begin with 289481151 relations and 264551493 unique ideals Sat Apr 1 16:06:28 2023 reduce to 209725562 relations and 180259787 ideals in 16 passes Sat Apr 1 16:06:28 2023 max relations containing the same ideal: 173 Sat Apr 1 16:07:08 2023 removing 14834807 relations and 12834807 ideals in 2000000 cliques Sat Apr 1 16:07:11 2023 commencing in-memory singleton removal Sat Apr 1 16:07:15 2023 begin with 194890755 relations and 180259787 unique ideals Sat Apr 1 16:07:32 2023 reduce to 194025653 relations and 166548438 ideals in 9 passes Sat Apr 1 16:07:32 2023 max relations containing the same ideal: 163 Sat Apr 1 16:08:08 2023 removing 11119349 relations and 9119349 ideals in 2000000 cliques Sat Apr 1 16:08:11 2023 commencing in-memory singleton removal Sat Apr 1 16:08:14 2023 begin with 182906304 relations and 166548438 unique ideals Sat Apr 1 16:08:29 2023 reduce to 182361856 relations and 156878451 ideals in 8 passes Sat Apr 1 16:08:29 2023 max relations containing the same ideal: 158 Sat Apr 1 16:09:01 2023 removing 9968125 relations and 7968125 ideals in 2000000 cliques Sat Apr 1 16:09:05 2023 commencing in-memory singleton removal Sat Apr 1 16:09:08 2023 begin with 172393731 relations and 156878451 unique ideals Sat Apr 1 16:09:21 2023 reduce to 171925881 relations and 148437380 ideals in 8 passes Sat Apr 1 16:09:21 2023 max relations containing the same ideal: 151 Sat Apr 1 16:09:52 2023 removing 9358679 relations and 7358679 ideals in 2000000 cliques Sat Apr 1 16:09:55 2023 commencing in-memory singleton removal Sat Apr 1 16:09:58 2023 begin with 162567202 relations and 148437380 unique ideals Sat Apr 1 16:10:11 2023 reduce to 162130194 relations and 140636857 ideals in 8 passes Sat Apr 1 16:10:11 2023 max relations containing the same ideal: 148 Sat Apr 1 16:10:40 2023 removing 8972687 relations and 6972687 ideals in 2000000 cliques Sat Apr 1 16:10:43 2023 commencing in-memory singleton removal Sat Apr 1 16:10:46 2023 begin with 153157507 relations and 140636857 unique ideals Sat Apr 1 16:10:58 2023 reduce to 152735561 relations and 133237334 ideals in 8 passes Sat Apr 1 16:10:58 2023 max relations containing the same ideal: 140 Sat Apr 1 16:11:26 2023 removing 8712818 relations and 6712818 ideals in 2000000 cliques Sat Apr 1 16:11:28 2023 commencing in-memory singleton removal Sat Apr 1 16:11:31 2023 begin with 144022743 relations and 133237334 unique ideals Sat Apr 1 16:11:42 2023 reduce to 143601523 relations and 126098237 ideals in 8 passes Sat Apr 1 16:11:42 2023 max relations containing the same ideal: 134 Sat Apr 1 16:12:09 2023 removing 8532290 relations and 6532290 ideals in 2000000 cliques Sat Apr 1 16:12:11 2023 commencing in-memory singleton removal Sat Apr 1 16:12:14 2023 begin with 135069233 relations and 126098237 unique ideals Sat Apr 1 16:12:23 2023 reduce to 134641495 relations and 119132842 ideals in 7 passes Sat Apr 1 16:12:23 2023 max relations containing the same ideal: 128 Sat Apr 1 16:12:48 2023 removing 8417078 relations and 6417078 ideals in 2000000 cliques Sat Apr 1 16:12:50 2023 commencing in-memory singleton removal Sat Apr 1 16:12:53 2023 begin with 126224417 relations and 119132842 unique ideals Sat Apr 1 16:13:01 2023 reduce to 125784803 relations and 112270287 ideals in 7 passes Sat Apr 1 16:13:01 2023 max relations containing the same ideal: 120 Sat Apr 1 16:13:25 2023 removing 8338621 relations and 6338621 ideals in 2000000 cliques Sat Apr 1 16:13:27 2023 commencing in-memory singleton removal Sat Apr 1 16:13:29 2023 begin with 117446182 relations and 112270287 unique ideals Sat Apr 1 16:13:37 2023 reduce to 116986032 relations and 105465043 ideals in 7 passes Sat Apr 1 16:13:37 2023 max relations containing the same ideal: 114 Sat Apr 1 16:13:59 2023 removing 8300480 relations and 6300480 ideals in 2000000 cliques Sat Apr 1 16:14:02 2023 commencing in-memory singleton removal Sat Apr 1 16:14:03 2023 begin with 108685552 relations and 105465043 unique ideals Sat Apr 1 16:14:12 2023 reduce to 108197179 relations and 98668839 ideals in 8 passes Sat Apr 1 16:14:12 2023 max relations containing the same ideal: 110 Sat Apr 1 16:14:32 2023 removing 8291802 relations and 6291802 ideals in 2000000 cliques Sat Apr 1 16:14:35 2023 commencing in-memory singleton removal Sat Apr 1 16:14:36 2023 begin with 99905377 relations and 98668839 unique ideals Sat Apr 1 16:14:44 2023 reduce to 99383108 relations and 91846354 ideals in 8 passes Sat Apr 1 16:14:44 2023 max relations containing the same ideal: 104 Sat Apr 1 16:15:03 2023 removing 8311987 relations and 6311987 ideals in 2000000 cliques Sat Apr 1 16:15:05 2023 commencing in-memory singleton removal Sat Apr 1 16:15:07 2023 begin with 91071121 relations and 91846354 unique ideals Sat Apr 1 16:15:13 2023 reduce to 90502153 relations and 84955445 ideals in 8 passes Sat Apr 1 16:15:13 2023 max relations containing the same ideal: 97 Sat Apr 1 16:15:31 2023 removing 8365303 relations and 6365303 ideals in 2000000 cliques Sat Apr 1 16:15:33 2023 commencing in-memory singleton removal Sat Apr 1 16:15:35 2023 begin with 82136850 relations and 84955445 unique ideals Sat Apr 1 16:15:41 2023 reduce to 81500302 relations and 77941733 ideals in 8 passes Sat Apr 1 16:15:41 2023 max relations containing the same ideal: 91 Sat Apr 1 16:15:57 2023 removing 7872349 relations and 6041935 ideals in 1830414 cliques Sat Apr 1 16:15:59 2023 commencing in-memory singleton removal Sat Apr 1 16:16:00 2023 begin with 73627953 relations and 77941733 unique ideals Sat Apr 1 16:16:05 2023 reduce to 73007396 relations and 71267264 ideals in 8 passes Sat Apr 1 16:16:05 2023 max relations containing the same ideal: 84 Sat Apr 1 16:16:20 2023 removing 113745 relations and 101768 ideals in 11977 cliques Sat Apr 1 16:16:21 2023 commencing in-memory singleton removal Sat Apr 1 16:16:22 2023 begin with 72893651 relations and 71267264 unique ideals Sat Apr 1 16:16:26 2023 reduce to 72893514 relations and 71165359 ideals in 5 passes Sat Apr 1 16:16:26 2023 max relations containing the same ideal: 84 Sat Apr 1 16:16:32 2023 relations with 0 large ideals: 56923 Sat Apr 1 16:16:32 2023 relations with 1 large ideals: 23839 Sat Apr 1 16:16:32 2023 relations with 2 large ideals: 314080 Sat Apr 1 16:16:32 2023 relations with 3 large ideals: 2015608 Sat Apr 1 16:16:32 2023 relations with 4 large ideals: 7059658 Sat Apr 1 16:16:32 2023 relations with 5 large ideals: 14825320 Sat Apr 1 16:16:32 2023 relations with 6 large ideals: 19475950 Sat Apr 1 16:16:32 2023 relations with 7+ large ideals: 29122136 Sat Apr 1 16:16:32 2023 commencing 2-way merge Sat Apr 1 16:16:55 2023 reduce to 45295473 relation sets and 43567318 unique ideals Sat Apr 1 16:16:55 2023 commencing full merge Sat Apr 1 16:26:59 2023 memory use: 5716.8 MB Sat Apr 1 16:27:02 2023 found 20868777 cycles, need 20741518 Sat Apr 1 16:27:06 2023 weight of 20741518 cycles is about 2281656426 (110.00/cycle) Sat Apr 1 16:27:06 2023 distribution of cycle lengths: Sat Apr 1 16:27:06 2023 1 relations: 1692505 Sat Apr 1 16:27:06 2023 2 relations: 1672815 Sat Apr 1 16:27:06 2023 3 relations: 1669403 Sat Apr 1 16:27:06 2023 4 relations: 1596237 Sat Apr 1 16:27:06 2023 5 relations: 1543458 Sat Apr 1 16:27:06 2023 6 relations: 1487448 Sat Apr 1 16:27:06 2023 7 relations: 1405882 Sat Apr 1 16:27:06 2023 8 relations: 1325775 Sat Apr 1 16:27:06 2023 9 relations: 1224773 Sat Apr 1 16:27:06 2023 10+ relations: 7123222 Sat Apr 1 16:27:06 2023 heaviest cycle: 28 relations Sat Apr 1 16:27:09 2023 commencing cycle optimization Sat Apr 1 16:27:35 2023 start with 165335616 relations Sat Apr 1 16:30:47 2023 pruned 6179073 relations Sat Apr 1 16:30:47 2023 memory use: 4677.5 MB Sat Apr 1 16:30:47 2023 distribution of cycle lengths: Sat Apr 1 16:30:47 2023 1 relations: 1692505 Sat Apr 1 16:30:47 2023 2 relations: 1709541 Sat Apr 1 16:30:47 2023 3 relations: 1731342 Sat Apr 1 16:30:47 2023 4 relations: 1650259 Sat Apr 1 16:30:47 2023 5 relations: 1606146 Sat Apr 1 16:30:47 2023 6 relations: 1541756 Sat Apr 1 16:30:47 2023 7 relations: 1460094 Sat Apr 1 16:30:47 2023 8 relations: 1368854 Sat Apr 1 16:30:47 2023 9 relations: 1263805 Sat Apr 1 16:30:47 2023 10+ relations: 6717216 Sat Apr 1 16:30:47 2023 heaviest cycle: 28 relations Sat Apr 1 16:31:09 2023 RelProcTime: 2294 Sat Apr 1 16:31:09 2023 Sat Apr 1 16:31:09 2023 commencing linear algebra Sat Apr 1 16:31:09 2023 using VBITS=256 Sat Apr 1 16:31:10 2023 read 20741518 cycles Sat Apr 1 16:31:34 2023 cycles contain 71724557 unique relations Sat Apr 1 16:32:08 2023 read 71724557 relations Sat Apr 1 16:32:18 2023 using 20 quadratic characters above 4294917295 Sat Apr 1 16:32:29 2023 building initial matrix Sat Apr 1 16:40:14 2023 memory use: 9294.1 MB Sat Apr 1 16:40:19 2023 read 20741518 cycles Sat Apr 1 16:40:21 2023 matrix is 20741340 x 20741518 (9084.5 MB) with weight 2605714968 (125.63/col) Sat Apr 1 16:40:21 2023 sparse part has weight 2153281693 (103.82/col) Sat Apr 1 16:42:16 2023 filtering completed in 2 passes Sat Apr 1 16:42:18 2023 matrix is 20739299 x 20739471 (9084.3 MB) with weight 2605642478 (125.64/col) Sat Apr 1 16:42:18 2023 sparse part has weight 2153256103 (103.82/col) Sat Apr 1 16:42:45 2023 matrix starts at (0, 0) Sat Apr 1 16:42:47 2023 matrix is 20739299 x 20739471 (9084.3 MB) with weight 2605642478 (125.64/col) Sat Apr 1 16:42:47 2023 sparse part has weight 2153256103 (103.82/col) Sat Apr 1 16:42:47 2023 saving the first 240 matrix rows for later Sat Apr 1 16:42:49 2023 matrix includes 256 packed rows Sat Apr 1 16:42:54 2023 matrix is 20739059 x 20739471 (8454.3 MB) with weight 1980597648 (95.50/col) Sat Apr 1 16:42:54 2023 sparse part has weight 1884409323 (90.86/col) Sat Apr 1 16:42:54 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Sat Apr 1 16:42:54 2023 selected card has CUDA arch 8.6 Sat Apr 1 16:44:13 2023 commencing Lanczos iteration Sat Apr 1 16:44:13 2023 memory use: 19756.7 MB Sat Apr 1 16:45:16 2023 linear algebra at 0.1%, ETA 11h38m Sat Apr 1 16:46:48 2023 checking every 20000 dimensions, checkpointing every 1800000 dimensions Sun Apr 2 04:17:20 2023 lanczos halted after 81255 iterations (dim = 20739057) Sun Apr 2 04:18:37 2023 recovered 38 nontrivial dependencies Sun Apr 2 04:18:38 2023 BLanczosTime: 42449 Sun Apr 2 04:18:38 2023 Sun Apr 2 04:18:38 2023 commencing square root phase Sun Apr 2 04:18:38 2023 handling dependencies 1 to 64 Sun Apr 2 04:18:38 2023 reading relations for dependency 1 Sun Apr 2 04:18:52 2023 read 10369487 cycles Sun Apr 2 04:19:13 2023 cycles contain 35865178 unique relations Sun Apr 2 04:20:56 2023 read 35865178 relations Sun Apr 2 04:23:38 2023 multiplying 35865178 relations Sun Apr 2 04:37:41 2023 multiply complete, coefficients have about 980.39 million bits Sun Apr 2 04:37:44 2023 initial square root is modulo 624470389 Sun Apr 2 04:46:54 2023 sqrtTime: 1696 Sun Apr 2 04:46:54 2023 p67 factor: 1705611416054870806303962851857346259980991573774815935773557209823 Sun Apr 2 04:46:54 2023 p149 factor: 33208201604178427596207899158051499457211070696205207337020811457920835517172748498126175815599420236557200684462340459627246425439401406943247152943 Sun Apr 2 04:46:54 2023 elapsed time 12:53:59