Wed Dec 27 19:18:48 2023 Wed Dec 27 19:18:48 2023 Wed Dec 27 19:18:48 2023 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 27 19:18:48 2023 random seeds: c752bf1d 84481b22 Wed Dec 27 19:18:48 2023 MPI process 0 of 1 Wed Dec 27 19:18:48 2023 Using 46 OpenMP threads Wed Dec 27 19:18:48 2023 factoring 1148390251930433475209654502678078671161084184408517031483045849366823398681900639983548175551771387719500063726495372137216216301961988388065906664969040735124491564094394351551143126294755873084109706881024121796658315317988317606544046412859 (244 digits) Wed Dec 27 19:18:49 2023 no P-1/P+1/ECM available, skipping Wed Dec 27 19:18:49 2023 commencing number field sieve (244-digit input) Wed Dec 27 19:18:49 2023 R0: 2938664621982394455210055919333833369741950976 Wed Dec 27 19:18:49 2023 R1: -139708234283055276457744135264099 Wed Dec 27 19:18:49 2023 A0: 309136 Wed Dec 27 19:18:49 2023 A1: 0 Wed Dec 27 19:18:49 2023 A2: 0 Wed Dec 27 19:18:49 2023 A3: 0 Wed Dec 27 19:18:49 2023 A4: 0 Wed Dec 27 19:18:49 2023 A5: 0 Wed Dec 27 19:18:49 2023 A6: 23 Wed Dec 27 19:18:49 2023 skew 4.88, size 4.338e-14, alpha 0.726, combined = 1.181e-14 rroots = 0 Wed Dec 27 19:18:49 2023 Wed Dec 27 19:18:49 2023 commencing relation filtering Wed Dec 27 19:18:49 2023 setting target matrix density to 110.0 Wed Dec 27 19:18:49 2023 estimated available RAM is 192069.2 MB Wed Dec 27 19:18:49 2023 commencing duplicate removal, pass 1 Wed Dec 27 19:26:10 2023 skipped 1073 relations with b > 2^32 Wed Dec 27 19:26:10 2023 skipped 2 relations with composite factors Wed Dec 27 19:26:10 2023 skipped 1066 malformed relations Wed Dec 27 19:26:10 2023 found 22256634 hash collisions in 633396175 relations Wed Dec 27 19:26:26 2023 added 1219735 free relations Wed Dec 27 19:26:26 2023 commencing duplicate removal, pass 2 Wed Dec 27 19:29:14 2023 found 0 duplicates and 634615910 unique relations Wed Dec 27 19:29:14 2023 memory use: 2089.5 MB Wed Dec 27 19:29:14 2023 reading ideals above 720000 Wed Dec 27 19:29:15 2023 commencing singleton removal, initial pass Wed Dec 27 20:03:01 2023 memory use: 11024.0 MB Wed Dec 27 20:03:02 2023 reading all ideals from disk Wed Dec 27 20:03:28 2023 memory use: 32477.3 MB Wed Dec 27 20:05:17 2023 keeping 630602919 ideals with weight <= 200, target excess is 3315431 Wed Dec 27 20:07:13 2023 commencing in-memory singleton removal Wed Dec 27 20:07:20 2023 begin with 634615910 relations and 630602919 unique ideals Wed Dec 27 20:08:02 2023 reduce to 345320446 relations and 304703623 ideals in 18 passes Wed Dec 27 20:08:02 2023 max relations containing the same ideal: 142 Wed Dec 27 20:10:10 2023 removing 19344498 relations and 17344498 ideals in 2000000 cliques Wed Dec 27 20:10:27 2023 commencing in-memory singleton removal Wed Dec 27 20:10:30 2023 begin with 325975948 relations and 304703623 unique ideals Wed Dec 27 20:10:47 2023 reduce to 325059522 relations and 286434469 ideals in 12 passes Wed Dec 27 20:10:47 2023 max relations containing the same ideal: 136 Wed Dec 27 20:12:34 2023 removing 14251245 relations and 12251245 ideals in 2000000 cliques Wed Dec 27 20:12:48 2023 commencing in-memory singleton removal Wed Dec 27 20:12:52 2023 begin with 310808277 relations and 286434469 unique ideals Wed Dec 27 20:13:03 2023 reduce to 310265725 relations and 273636663 ideals in 9 passes Wed Dec 27 20:13:03 2023 max relations containing the same ideal: 132 Wed Dec 27 20:14:40 2023 removing 12630195 relations and 10630195 ideals in 2000000 cliques Wed Dec 27 20:14:52 2023 commencing in-memory singleton removal Wed Dec 27 20:14:55 2023 begin with 297635530 relations and 273636663 unique ideals Wed Dec 27 20:15:07 2023 reduce to 297187970 relations and 262555866 ideals in 8 passes Wed Dec 27 20:15:07 2023 max relations containing the same ideal: 130 Wed Dec 27 20:16:43 2023 removing 11734646 relations and 9734646 ideals in 2000000 cliques Wed Dec 27 20:16:56 2023 commencing in-memory singleton removal Wed Dec 27 20:16:59 2023 begin with 285453324 relations and 262555866 unique ideals Wed Dec 27 20:17:09 2023 reduce to 285049532 relations and 252414613 ideals in 8 passes Wed Dec 27 20:17:09 2023 max relations containing the same ideal: 128 Wed Dec 27 20:18:40 2023 removing 11150136 relations and 9150136 ideals in 2000000 cliques Wed Dec 27 20:18:55 2023 commencing in-memory singleton removal Wed Dec 27 20:18:57 2023 begin with 273899396 relations and 252414613 unique ideals Wed Dec 27 20:19:09 2023 reduce to 273521248 relations and 242883846 ideals in 8 passes Wed Dec 27 20:19:09 2023 max relations containing the same ideal: 124 Wed Dec 27 20:20:46 2023 removing 10725548 relations and 8725548 ideals in 2000000 cliques Wed Dec 27 20:20:57 2023 commencing in-memory singleton removal Wed Dec 27 20:20:59 2023 begin with 262795700 relations and 242883846 unique ideals Wed Dec 27 20:21:11 2023 reduce to 262432871 relations and 233792986 ideals in 8 passes Wed Dec 27 20:21:11 2023 max relations containing the same ideal: 120 Wed Dec 27 20:22:42 2023 removing 10401067 relations and 8401067 ideals in 2000000 cliques Wed Dec 27 20:22:53 2023 commencing in-memory singleton removal Wed Dec 27 20:22:55 2023 begin with 252031804 relations and 233792986 unique ideals Wed Dec 27 20:23:06 2023 reduce to 251680043 relations and 225037670 ideals in 9 passes Wed Dec 27 20:23:06 2023 max relations containing the same ideal: 115 Wed Dec 27 20:24:39 2023 removing 10151216 relations and 8151216 ideals in 2000000 cliques Wed Dec 27 20:24:49 2023 commencing in-memory singleton removal Wed Dec 27 20:24:52 2023 begin with 241528827 relations and 225037670 unique ideals Wed Dec 27 20:25:01 2023 reduce to 241182202 relations and 216537214 ideals in 8 passes Wed Dec 27 20:25:01 2023 max relations containing the same ideal: 112 Wed Dec 27 20:26:30 2023 removing 9952056 relations and 7952056 ideals in 2000000 cliques Wed Dec 27 20:26:40 2023 commencing in-memory singleton removal Wed Dec 27 20:26:42 2023 begin with 231230146 relations and 216537214 unique ideals Wed Dec 27 20:26:52 2023 reduce to 230884744 relations and 208237111 ideals in 8 passes Wed Dec 27 20:26:52 2023 max relations containing the same ideal: 108 Wed Dec 27 20:28:06 2023 removing 9791684 relations and 7791684 ideals in 2000000 cliques Wed Dec 27 20:28:17 2023 commencing in-memory singleton removal Wed Dec 27 20:28:19 2023 begin with 221093060 relations and 208237111 unique ideals Wed Dec 27 20:28:28 2023 reduce to 220745505 relations and 200095173 ideals in 8 passes Wed Dec 27 20:28:28 2023 max relations containing the same ideal: 105 Wed Dec 27 20:29:43 2023 removing 9661513 relations and 7661513 ideals in 2000000 cliques Wed Dec 27 20:29:52 2023 commencing in-memory singleton removal Wed Dec 27 20:29:54 2023 begin with 211083992 relations and 200095173 unique ideals Wed Dec 27 20:30:03 2023 reduce to 210730782 relations and 192077582 ideals in 8 passes Wed Dec 27 20:30:03 2023 max relations containing the same ideal: 102 Wed Dec 27 20:31:18 2023 removing 9562405 relations and 7562405 ideals in 2000000 cliques Wed Dec 27 20:31:27 2023 commencing in-memory singleton removal Wed Dec 27 20:31:29 2023 begin with 201168377 relations and 192077582 unique ideals Wed Dec 27 20:31:36 2023 reduce to 200811066 relations and 184154894 ideals in 8 passes Wed Dec 27 20:31:36 2023 max relations containing the same ideal: 101 Wed Dec 27 20:32:42 2023 removing 9478988 relations and 7478988 ideals in 2000000 cliques Wed Dec 27 20:32:51 2023 commencing in-memory singleton removal Wed Dec 27 20:32:53 2023 begin with 191332078 relations and 184154894 unique ideals Wed Dec 27 20:33:00 2023 reduce to 190965135 relations and 176305655 ideals in 8 passes Wed Dec 27 20:33:00 2023 max relations containing the same ideal: 95 Wed Dec 27 20:34:04 2023 removing 9414145 relations and 7414145 ideals in 2000000 cliques Wed Dec 27 20:34:13 2023 commencing in-memory singleton removal Wed Dec 27 20:34:15 2023 begin with 181550990 relations and 176305655 unique ideals Wed Dec 27 20:34:21 2023 reduce to 181174473 relations and 168511473 ideals in 8 passes Wed Dec 27 20:34:21 2023 max relations containing the same ideal: 95 Wed Dec 27 20:35:26 2023 removing 9367885 relations and 7367885 ideals in 2000000 cliques Wed Dec 27 20:35:34 2023 commencing in-memory singleton removal Wed Dec 27 20:35:35 2023 begin with 171806588 relations and 168511473 unique ideals Wed Dec 27 20:35:42 2023 reduce to 171415988 relations and 160749234 ideals in 9 passes Wed Dec 27 20:35:42 2023 max relations containing the same ideal: 91 Wed Dec 27 20:36:37 2023 removing 9329229 relations and 7329229 ideals in 2000000 cliques Wed Dec 27 20:36:44 2023 commencing in-memory singleton removal Wed Dec 27 20:36:46 2023 begin with 162086759 relations and 160749234 unique ideals Wed Dec 27 20:36:51 2023 reduce to 161679637 relations and 153008752 ideals in 7 passes Wed Dec 27 20:36:51 2023 max relations containing the same ideal: 88 Wed Dec 27 20:37:45 2023 removing 9315176 relations and 7315176 ideals in 2000000 cliques Wed Dec 27 20:37:52 2023 commencing in-memory singleton removal Wed Dec 27 20:37:54 2023 begin with 152364461 relations and 153008752 unique ideals Wed Dec 27 20:37:59 2023 reduce to 151937057 relations and 145261581 ideals in 8 passes Wed Dec 27 20:37:59 2023 max relations containing the same ideal: 83 Wed Dec 27 20:38:49 2023 removing 9307021 relations and 7307021 ideals in 2000000 cliques Wed Dec 27 20:38:55 2023 commencing in-memory singleton removal Wed Dec 27 20:38:57 2023 begin with 142630036 relations and 145261581 unique ideals Wed Dec 27 20:39:02 2023 reduce to 142173343 relations and 137492875 ideals in 9 passes Wed Dec 27 20:39:02 2023 max relations containing the same ideal: 79 Wed Dec 27 20:39:47 2023 removing 4582149 relations and 3747581 ideals in 834568 cliques Wed Dec 27 20:39:52 2023 commencing in-memory singleton removal Wed Dec 27 20:39:54 2023 begin with 137591194 relations and 137492875 unique ideals Wed Dec 27 20:39:58 2023 reduce to 137483411 relations and 133636948 ideals in 7 passes Wed Dec 27 20:39:58 2023 max relations containing the same ideal: 77 Wed Dec 27 20:41:02 2023 relations with 0 large ideals: 119563 Wed Dec 27 20:41:02 2023 relations with 1 large ideals: 112421 Wed Dec 27 20:41:02 2023 relations with 2 large ideals: 1175356 Wed Dec 27 20:41:02 2023 relations with 3 large ideals: 6399051 Wed Dec 27 20:41:02 2023 relations with 4 large ideals: 18857148 Wed Dec 27 20:41:02 2023 relations with 5 large ideals: 33211299 Wed Dec 27 20:41:02 2023 relations with 6 large ideals: 36539118 Wed Dec 27 20:41:02 2023 relations with 7+ large ideals: 41069455 Wed Dec 27 20:41:02 2023 commencing 2-way merge Wed Dec 27 20:42:08 2023 reduce to 85321827 relation sets and 81475363 unique ideals Wed Dec 27 20:42:08 2023 commencing full merge Wed Dec 27 21:07:12 2023 memory use: 10099.7 MB Wed Dec 27 21:07:20 2023 found 39597592 cycles, need 39179563 Wed Dec 27 21:07:35 2023 weight of 39179563 cycles is about 4310121242 (110.01/cycle) Wed Dec 27 21:07:35 2023 distribution of cycle lengths: Wed Dec 27 21:07:35 2023 1 relations: 2767355 Wed Dec 27 21:07:35 2023 2 relations: 3121103 Wed Dec 27 21:07:35 2023 3 relations: 3335956 Wed Dec 27 21:07:35 2023 4 relations: 3216242 Wed Dec 27 21:07:35 2023 5 relations: 3104885 Wed Dec 27 21:07:35 2023 6 relations: 2917893 Wed Dec 27 21:07:35 2023 7 relations: 2739408 Wed Dec 27 21:07:35 2023 8 relations: 2546832 Wed Dec 27 21:07:35 2023 9 relations: 2333437 Wed Dec 27 21:07:35 2023 10+ relations: 13096452 Wed Dec 27 21:07:35 2023 heaviest cycle: 28 relations Wed Dec 27 21:07:51 2023 commencing cycle optimization Wed Dec 27 21:09:04 2023 start with 306659312 relations Wed Dec 27 21:18:51 2023 pruned 10255765 relations Wed Dec 27 21:18:52 2023 memory use: 8800.8 MB Wed Dec 27 21:18:52 2023 distribution of cycle lengths: Wed Dec 27 21:18:52 2023 1 relations: 2767355 Wed Dec 27 21:18:52 2023 2 relations: 3193137 Wed Dec 27 21:18:52 2023 3 relations: 3465303 Wed Dec 27 21:18:52 2023 4 relations: 3323509 Wed Dec 27 21:18:52 2023 5 relations: 3220301 Wed Dec 27 21:18:52 2023 6 relations: 3007664 Wed Dec 27 21:18:52 2023 7 relations: 2825565 Wed Dec 27 21:18:52 2023 8 relations: 2611666 Wed Dec 27 21:18:52 2023 9 relations: 2385143 Wed Dec 27 21:18:52 2023 10+ relations: 12379920 Wed Dec 27 21:18:52 2023 heaviest cycle: 28 relations Wed Dec 27 21:20:10 2023 RelProcTime: 7281 Wed Dec 27 21:20:10 2023 elapsed time 02:01:22 Wed Dec 27 21:20:26 2023 Wed Dec 27 21:20:26 2023 Wed Dec 27 21:20:26 2023 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 27 21:20:26 2023 random seeds: 7d4a94ac 62495f09 Wed Dec 27 21:20:26 2023 MPI process 0 of 1 Wed Dec 27 21:20:26 2023 Using 46 OpenMP threads Wed Dec 27 21:20:26 2023 factoring 1148390251930433475209654502678078671161084184408517031483045849366823398681900639983548175551771387719500063726495372137216216301961988388065906664969040735124491564094394351551143126294755873084109706881024121796658315317988317606544046412859 (244 digits) Wed Dec 27 21:20:27 2023 no P-1/P+1/ECM available, skipping Wed Dec 27 21:20:27 2023 commencing number field sieve (244-digit input) Wed Dec 27 21:20:27 2023 R0: 2938664621982394455210055919333833369741950976 Wed Dec 27 21:20:27 2023 R1: -139708234283055276457744135264099 Wed Dec 27 21:20:27 2023 A0: 309136 Wed Dec 27 21:20:27 2023 A1: 0 Wed Dec 27 21:20:27 2023 A2: 0 Wed Dec 27 21:20:27 2023 A3: 0 Wed Dec 27 21:20:27 2023 A4: 0 Wed Dec 27 21:20:27 2023 A5: 0 Wed Dec 27 21:20:27 2023 A6: 23 Wed Dec 27 21:20:27 2023 skew 4.88, size 4.338e-14, alpha 0.726, combined = 1.181e-14 rroots = 0 Wed Dec 27 21:20:27 2023 Wed Dec 27 21:20:27 2023 commencing linear algebra Wed Dec 27 21:20:27 2023 using VBITS=128 Wed Dec 27 21:20:27 2023 stopping after matrix build Wed Dec 27 21:20:27 2023 initialized process (0,0) of 1 x 1 grid Wed Dec 27 21:20:32 2023 read 39179563 cycles Wed Dec 27 21:21:42 2023 cycles contain 135179541 unique relations Wed Dec 27 21:23:18 2023 read 135179541 relations Wed Dec 27 21:23:31 2023 using 20 quadratic characters above 4294917295 Wed Dec 27 21:23:48 2023 building initial matrix Wed Dec 27 21:52:37 2023 memory use: 16763.7 MB Wed Dec 27 21:53:16 2023 read 39179563 cycles Wed Dec 27 21:53:22 2023 matrix is 39179380 x 39179563 (17258.2 MB) with weight 4910963347 (125.35/col) Wed Dec 27 21:53:22 2023 sparse part has weight 4093145383 (104.47/col) Wed Dec 27 22:06:58 2023 filtering completed in 2 passes Wed Dec 27 22:07:06 2023 matrix is 39172424 x 39172603 (17257.5 MB) with weight 4910731825 (125.36/col) Wed Dec 27 22:07:06 2023 sparse part has weight 4093060815 (104.49/col) Wed Dec 27 22:09:17 2023 BLanczosTime: 2930 Wed Dec 27 22:09:17 2023 elapsed time 00:48:51 Thu Dec 28 03:33:47 2023 Thu Dec 28 03:33:47 2023 Thu Dec 28 03:33:47 2023 Msieve v. 1.54 (SVN unknown) Thu Dec 28 03:33:47 2023 random seeds: 035e49de c6f80d8b Thu Dec 28 03:33:47 2023 MPI process 0 of 4 Thu Dec 28 03:33:47 2023 Using 16 OpenMP threads Thu Dec 28 03:33:47 2023 factoring 1148390251930433475209654502678078671161084184408517031483045849366823398681900639983548175551771387719500063726495372137216216301961988388065906664969040735124491564094394351551143126294755873084109706881024121796658315317988317606544046412859 (244 digits) Thu Dec 28 03:33:48 2023 no P-1/P+1/ECM available, skipping Thu Dec 28 03:33:48 2023 commencing number field sieve (244-digit input) Thu Dec 28 03:33:48 2023 R0: 2938664621982394455210055919333833369741950976 Thu Dec 28 03:33:48 2023 R1: -139708234283055276457744135264099 Thu Dec 28 03:33:48 2023 A0: 309136 Thu Dec 28 03:33:48 2023 A1: 0 Thu Dec 28 03:33:48 2023 A2: 0 Thu Dec 28 03:33:48 2023 A3: 0 Thu Dec 28 03:33:48 2023 A4: 0 Thu Dec 28 03:33:48 2023 A5: 0 Thu Dec 28 03:33:48 2023 A6: 23 Thu Dec 28 03:33:48 2023 skew 4.88, size 4.338e-14, alpha 0.726, combined = 1.181e-14 rroots = 0 Thu Dec 28 03:33:48 2023 Thu Dec 28 03:33:48 2023 commencing linear algebra Thu Dec 28 03:33:48 2023 using VBITS=256 Thu Dec 28 03:33:48 2023 skipping matrix build Thu Dec 28 03:33:48 2023 initialized process (0,0) of 2 x 2 grid Thu Dec 28 03:34:07 2023 matrix starts at (0, 0) Thu Dec 28 03:34:09 2023 matrix is 19586332 x 19586302 (5031.7 MB) with weight 1512420055 (77.22/col) Thu Dec 28 03:34:09 2023 sparse part has weight 1103590413 (56.35/col) Thu Dec 28 03:34:09 2023 saving the first 240 matrix rows for later Thu Dec 28 03:34:13 2023 matrix includes 256 packed rows Thu Dec 28 03:34:17 2023 matrix is 19586092 x 19586302 (4545.8 MB) with weight 943150524 (48.15/col) Thu Dec 28 03:34:17 2023 sparse part has weight 878275333 (44.84/col) Thu Dec 28 03:34:17 2023 using GPU 0 (NVIDIA A100-SXM4-40GB) Thu Dec 28 03:34:17 2023 selected card has CUDA arch 8.0 Thu Dec 28 03:35:03 2023 commencing Lanczos iteration Thu Dec 28 03:35:03 2023 memory use: 10436.5 MB Thu Dec 28 03:35:30 2023 linear algebra at 0.1%, ETA 7h27m Thu Dec 28 03:36:03 2023 checking every 80000 dimensions, checkpointing every 5200000 dimensions Thu Dec 28 11:16:06 2023 lanczos halted after 153476 iterations (dim = 39172184) Thu Dec 28 11:19:41 2023 recovered 40 nontrivial dependencies Thu Dec 28 11:19:42 2023 BLanczosTime: 27954 Thu Dec 28 11:19:42 2023 elapsed time 07:45:55 Thu Dec 28 10:01:06 2023 Thu Dec 28 10:01:06 2023 Thu Dec 28 10:01:06 2023 Msieve v. 1.54 (SVN Unversioned directory) Thu Dec 28 10:01:06 2023 random seeds: 9c046adc c5e262d2 Thu Dec 28 10:01:06 2023 MPI process 0 of 1 Thu Dec 28 10:01:06 2023 Using 32 OpenMP threads Thu Dec 28 10:01:06 2023 factoring 1148390251930433475209654502678078671161084184408517031483045849366823398681900639983548175551771387719500063726495372137216216301961988388065906664969040735124491564094394351551143126294755873084109706881024121796658315317988317606544046412859 (244 digits) Thu Dec 28 10:01:07 2023 no P-1/P+1/ECM available, skipping Thu Dec 28 10:01:07 2023 commencing number field sieve (244-digit input) Thu Dec 28 10:01:07 2023 R0: 2938664621982394455210055919333833369741950976 Thu Dec 28 10:01:07 2023 R1: -139708234283055276457744135264099 Thu Dec 28 10:01:07 2023 A0: 309136 Thu Dec 28 10:01:07 2023 A1: 0 Thu Dec 28 10:01:07 2023 A2: 0 Thu Dec 28 10:01:07 2023 A3: 0 Thu Dec 28 10:01:07 2023 A4: 0 Thu Dec 28 10:01:07 2023 A5: 0 Thu Dec 28 10:01:07 2023 A6: 23 Thu Dec 28 10:01:07 2023 skew 4.88, size 4.338e-14, alpha 0.726, combined = 1.181e-14 rroots = 0 Thu Dec 28 10:01:07 2023 Thu Dec 28 10:01:07 2023 commencing square root phase Thu Dec 28 10:01:07 2023 reading relations for dependency 1 Thu Dec 28 10:01:12 2023 read 19589831 cycles Thu Dec 28 10:01:48 2023 cycles contain 67596322 unique relations Thu Dec 28 10:04:14 2023 read 67596322 relations Thu Dec 28 10:09:37 2023 multiplying 67596322 relations Thu Dec 28 10:15:03 2023 multiply complete, coefficients have about 2196.27 million bits Thu Dec 28 10:15:10 2023 initial square root is modulo 84499 Thu Dec 28 10:31:28 2023 sqrtTime: 1821 Thu Dec 28 10:31:28 2023 p90 factor: 616210003686492413829960259470654519655807740971400967707098367341156606925648217021071367 Thu Dec 28 10:31:28 2023 p154 factor: 1863634548384737103321752572900420720528124562174321520386903895018998603323518775096362799327138503377770211715605976953406988162696593445693048965272877 Thu Dec 28 10:31:28 2023 elapsed time 00:30:22