Tue Mar 17 17:19:49 2026 Tue Mar 17 17:19:49 2026 Tue Mar 17 17:19:49 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Mar 17 17:19:49 2026 random seeds: 8f6b4e92 b8f51dcb Tue Mar 17 17:19:49 2026 MPI process 0 of 1 Tue Mar 17 17:19:49 2026 Using 46 OpenMP threads Tue Mar 17 17:19:49 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits) Tue Mar 17 17:19:50 2026 no P-1/P+1/ECM available, skipping Tue Mar 17 17:19:50 2026 commencing number field sieve (223-digit input) Tue Mar 17 17:19:50 2026 R0: 770452554484090197386587479931326064708100638279 Tue Mar 17 17:19:50 2026 R1: -1 Tue Mar 17 17:19:50 2026 A0: 1 Tue Mar 17 17:19:50 2026 A1: 1 Tue Mar 17 17:19:50 2026 A2: 1 Tue Mar 17 17:19:50 2026 A3: 1 Tue Mar 17 17:19:50 2026 A4: 1 Tue Mar 17 17:19:50 2026 A5: 1 Tue Mar 17 17:19:50 2026 A6: 1 Tue Mar 17 17:19:50 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0 Tue Mar 17 17:19:50 2026 Tue Mar 17 17:19:50 2026 commencing relation filtering Tue Mar 17 17:19:50 2026 setting target matrix density to 110.0 Tue Mar 17 17:19:50 2026 estimated available RAM is 773418.9 MB Tue Mar 17 17:19:50 2026 commencing duplicate removal, pass 1 Tue Mar 17 17:23:10 2026 error -11 reading relation 273523678 Tue Mar 17 17:23:10 2026 error -11 reading relation 274675516 Tue Mar 17 17:24:29 2026 error -1 reading relation 382433904 Tue Mar 17 17:25:24 2026 error -11 reading relation 452298221 Tue Mar 17 17:27:58 2026 error -5 reading relation 656376452 Tue Mar 17 17:28:12 2026 error -1 reading relation 674469438 Tue Mar 17 17:28:12 2026 error -1 reading relation 674469439 Tue Mar 17 17:28:12 2026 error -1 reading relation 674470146 Tue Mar 17 17:28:12 2026 error -1 reading relation 674471278 Tue Mar 17 17:28:12 2026 error -1 reading relation 674471426 Tue Mar 17 17:28:12 2026 error -15 reading relation 674471970 Tue Mar 17 17:28:12 2026 error -6 reading relation 674472517 Tue Mar 17 17:28:12 2026 error -1 reading relation 674472940 Tue Mar 17 17:28:12 2026 error -11 reading relation 674473706 Tue Mar 17 17:28:12 2026 error -1 reading relation 674473877 Tue Mar 17 17:28:12 2026 error -1 reading relation 674474245 Tue Mar 17 17:28:12 2026 error -11 reading relation 674474681 Tue Mar 17 17:28:28 2026 error -1 reading relation 695105778 Tue Mar 17 17:28:38 2026 skipped 24188 relations with b > 2^32 Tue Mar 17 17:28:38 2026 skipped 6 relations with composite factors Tue Mar 17 17:28:38 2026 skipped 680 malformed relations Tue Mar 17 17:28:38 2026 found 27616871 hash collisions in 707673908 relations Tue Mar 17 17:28:43 2026 added 2438534 free relations Tue Mar 17 17:28:43 2026 commencing duplicate removal, pass 2 Tue Mar 17 17:32:01 2026 found 0 duplicates and 710112442 unique relations Tue Mar 17 17:32:02 2026 memory use: 2217.5 MB Tue Mar 17 17:32:02 2026 reading ideals above 720000 Tue Mar 17 17:32:02 2026 commencing singleton removal, initial pass Tue Mar 17 17:59:22 2026 memory use: 11024.0 MB Tue Mar 17 17:59:22 2026 reading all ideals from disk Tue Mar 17 17:59:51 2026 memory use: 36764.7 MB Tue Mar 17 18:00:29 2026 keeping 638316377 ideals with weight <= 200, target excess is 4308313 Tue Mar 17 18:01:24 2026 commencing in-memory singleton removal Tue Mar 17 18:01:28 2026 begin with 710112442 relations and 638316377 unique ideals Tue Mar 17 18:01:55 2026 reduce to 457487892 relations and 360289616 ideals in 14 passes Tue Mar 17 18:01:55 2026 max relations containing the same ideal: 161 Tue Mar 17 18:03:10 2026 removing 14552696 relations and 12552696 ideals in 2000000 cliques Tue Mar 17 18:03:20 2026 commencing in-memory singleton removal Tue Mar 17 18:03:22 2026 begin with 442935196 relations and 360289616 unique ideals Tue Mar 17 18:03:32 2026 reduce to 442608028 relations and 347407720 ideals in 7 passes Tue Mar 17 18:03:32 2026 max relations containing the same ideal: 155 Tue Mar 17 18:04:50 2026 removing 10964128 relations and 8964128 ideals in 2000000 cliques Tue Mar 17 18:05:00 2026 commencing in-memory singleton removal Tue Mar 17 18:05:02 2026 begin with 431643900 relations and 347407720 unique ideals Tue Mar 17 18:05:11 2026 reduce to 431436616 relations and 338235221 ideals in 7 passes Tue Mar 17 18:05:11 2026 max relations containing the same ideal: 154 Tue Mar 17 18:06:27 2026 removing 9816216 relations and 7816216 ideals in 2000000 cliques Tue Mar 17 18:06:36 2026 commencing in-memory singleton removal Tue Mar 17 18:06:38 2026 begin with 421620400 relations and 338235221 unique ideals Tue Mar 17 18:06:48 2026 reduce to 421445321 relations and 330243070 ideals in 8 passes Tue Mar 17 18:06:48 2026 max relations containing the same ideal: 151 Tue Mar 17 18:08:03 2026 removing 9152725 relations and 7152725 ideals in 2000000 cliques Tue Mar 17 18:08:12 2026 commencing in-memory singleton removal Tue Mar 17 18:08:14 2026 begin with 412292596 relations and 330243070 unique ideals Tue Mar 17 18:08:22 2026 reduce to 412133579 relations and 322930528 ideals in 6 passes Tue Mar 17 18:08:22 2026 max relations containing the same ideal: 149 Tue Mar 17 18:09:35 2026 removing 8701785 relations and 6701785 ideals in 2000000 cliques Tue Mar 17 18:09:44 2026 commencing in-memory singleton removal Tue Mar 17 18:09:45 2026 begin with 403431794 relations and 322930528 unique ideals Tue Mar 17 18:09:53 2026 reduce to 403284522 relations and 316080722 ideals in 6 passes Tue Mar 17 18:09:53 2026 max relations containing the same ideal: 145 Tue Mar 17 18:11:05 2026 removing 8366872 relations and 6366872 ideals in 2000000 cliques Tue Mar 17 18:11:14 2026 commencing in-memory singleton removal Tue Mar 17 18:11:15 2026 begin with 394917650 relations and 316080722 unique ideals Tue Mar 17 18:11:23 2026 reduce to 394776979 relations and 309572426 ideals in 6 passes Tue Mar 17 18:11:23 2026 max relations containing the same ideal: 143 Tue Mar 17 18:12:34 2026 removing 8109360 relations and 6109360 ideals in 2000000 cliques Tue Mar 17 18:12:42 2026 commencing in-memory singleton removal Tue Mar 17 18:12:44 2026 begin with 386667619 relations and 309572426 unique ideals Tue Mar 17 18:12:53 2026 reduce to 386531392 relations and 303326161 ideals in 7 passes Tue Mar 17 18:12:53 2026 max relations containing the same ideal: 142 Tue Mar 17 18:14:02 2026 removing 7907774 relations and 5907774 ideals in 2000000 cliques Tue Mar 17 18:14:11 2026 commencing in-memory singleton removal Tue Mar 17 18:14:12 2026 begin with 378623618 relations and 303326161 unique ideals Tue Mar 17 18:14:19 2026 reduce to 378491892 relations and 297285978 ideals in 6 passes Tue Mar 17 18:14:19 2026 max relations containing the same ideal: 141 Tue Mar 17 18:15:28 2026 removing 7740953 relations and 5740953 ideals in 2000000 cliques Tue Mar 17 18:15:36 2026 commencing in-memory singleton removal Tue Mar 17 18:15:38 2026 begin with 370750939 relations and 297285978 unique ideals Tue Mar 17 18:15:45 2026 reduce to 370620691 relations and 291414081 ideals in 6 passes Tue Mar 17 18:15:45 2026 max relations containing the same ideal: 140 Tue Mar 17 18:16:49 2026 removing 7599568 relations and 5599568 ideals in 2000000 cliques Tue Mar 17 18:16:57 2026 commencing in-memory singleton removal Tue Mar 17 18:16:58 2026 begin with 363021123 relations and 291414081 unique ideals Tue Mar 17 18:17:05 2026 reduce to 362892481 relations and 285685156 ideals in 6 passes Tue Mar 17 18:17:05 2026 max relations containing the same ideal: 139 Tue Mar 17 18:18:10 2026 removing 7486837 relations and 5486837 ideals in 2000000 cliques Tue Mar 17 18:18:18 2026 commencing in-memory singleton removal Tue Mar 17 18:18:20 2026 begin with 355405644 relations and 285685156 unique ideals Tue Mar 17 18:18:27 2026 reduce to 355278407 relations and 280070316 ideals in 7 passes Tue Mar 17 18:18:27 2026 max relations containing the same ideal: 135 Tue Mar 17 18:19:30 2026 removing 7387531 relations and 5387531 ideals in 2000000 cliques Tue Mar 17 18:19:38 2026 commencing in-memory singleton removal Tue Mar 17 18:19:39 2026 begin with 347890876 relations and 280070316 unique ideals Tue Mar 17 18:19:46 2026 reduce to 347763994 relations and 274555214 ideals in 7 passes Tue Mar 17 18:19:46 2026 max relations containing the same ideal: 133 Tue Mar 17 18:20:49 2026 removing 7301485 relations and 5301485 ideals in 2000000 cliques Tue Mar 17 18:20:56 2026 commencing in-memory singleton removal Tue Mar 17 18:20:58 2026 begin with 340462509 relations and 274555214 unique ideals Tue Mar 17 18:21:05 2026 reduce to 340334942 relations and 269125415 ideals in 6 passes Tue Mar 17 18:21:05 2026 max relations containing the same ideal: 131 Tue Mar 17 18:22:07 2026 removing 7228458 relations and 5228458 ideals in 2000000 cliques Tue Mar 17 18:22:14 2026 commencing in-memory singleton removal Tue Mar 17 18:22:16 2026 begin with 333106484 relations and 269125415 unique ideals Tue Mar 17 18:22:22 2026 reduce to 332979912 relations and 263769591 ideals in 6 passes Tue Mar 17 18:22:22 2026 max relations containing the same ideal: 130 Tue Mar 17 18:23:25 2026 removing 7167938 relations and 5167938 ideals in 2000000 cliques Tue Mar 17 18:23:32 2026 commencing in-memory singleton removal Tue Mar 17 18:23:33 2026 begin with 325811974 relations and 263769591 unique ideals Tue Mar 17 18:23:39 2026 reduce to 325685358 relations and 258474276 ideals in 6 passes Tue Mar 17 18:23:39 2026 max relations containing the same ideal: 128 Tue Mar 17 18:24:40 2026 removing 7113359 relations and 5113359 ideals in 2000000 cliques Tue Mar 17 18:24:47 2026 commencing in-memory singleton removal Tue Mar 17 18:24:49 2026 begin with 318571999 relations and 258474276 unique ideals Tue Mar 17 18:24:55 2026 reduce to 318444178 relations and 253232309 ideals in 6 passes Tue Mar 17 18:24:55 2026 max relations containing the same ideal: 127 Tue Mar 17 18:25:54 2026 removing 7064769 relations and 5064769 ideals in 2000000 cliques Tue Mar 17 18:26:01 2026 commencing in-memory singleton removal Tue Mar 17 18:26:02 2026 begin with 311379409 relations and 253232309 unique ideals Tue Mar 17 18:26:09 2026 reduce to 311250064 relations and 248037298 ideals in 7 passes Tue Mar 17 18:26:09 2026 max relations containing the same ideal: 125 Tue Mar 17 18:27:06 2026 removing 7028407 relations and 5028407 ideals in 2000000 cliques Tue Mar 17 18:27:13 2026 commencing in-memory singleton removal Tue Mar 17 18:27:14 2026 begin with 304221657 relations and 248037298 unique ideals Tue Mar 17 18:27:20 2026 reduce to 304090886 relations and 242877191 ideals in 6 passes Tue Mar 17 18:27:20 2026 max relations containing the same ideal: 124 Tue Mar 17 18:28:17 2026 removing 6990874 relations and 4990874 ideals in 2000000 cliques Tue Mar 17 18:28:24 2026 commencing in-memory singleton removal Tue Mar 17 18:28:25 2026 begin with 297100012 relations and 242877191 unique ideals Tue Mar 17 18:28:31 2026 reduce to 296966466 relations and 237751837 ideals in 6 passes Tue Mar 17 18:28:31 2026 max relations containing the same ideal: 122 Tue Mar 17 18:29:27 2026 removing 6962694 relations and 4962694 ideals in 2000000 cliques Tue Mar 17 18:29:33 2026 commencing in-memory singleton removal Tue Mar 17 18:29:35 2026 begin with 290003772 relations and 237751837 unique ideals Tue Mar 17 18:29:40 2026 reduce to 289869906 relations and 232654261 ideals in 6 passes Tue Mar 17 18:29:40 2026 max relations containing the same ideal: 121 Tue Mar 17 18:30:34 2026 removing 6937171 relations and 4937171 ideals in 2000000 cliques Tue Mar 17 18:30:41 2026 commencing in-memory singleton removal Tue Mar 17 18:30:42 2026 begin with 282932735 relations and 232654261 unique ideals Tue Mar 17 18:30:48 2026 reduce to 282795774 relations and 227578987 ideals in 7 passes Tue Mar 17 18:30:48 2026 max relations containing the same ideal: 119 Tue Mar 17 18:31:42 2026 removing 6919463 relations and 4919463 ideals in 2000000 cliques Tue Mar 17 18:31:48 2026 commencing in-memory singleton removal Tue Mar 17 18:31:49 2026 begin with 275876311 relations and 227578987 unique ideals Tue Mar 17 18:31:55 2026 reduce to 275736430 relations and 222518532 ideals in 7 passes Tue Mar 17 18:31:55 2026 max relations containing the same ideal: 118 Tue Mar 17 18:32:48 2026 removing 6902336 relations and 4902336 ideals in 2000000 cliques Tue Mar 17 18:32:54 2026 commencing in-memory singleton removal Tue Mar 17 18:32:55 2026 begin with 268834094 relations and 222518532 unique ideals Tue Mar 17 18:33:00 2026 reduce to 268691895 relations and 217472869 ideals in 7 passes Tue Mar 17 18:33:00 2026 max relations containing the same ideal: 115 Tue Mar 17 18:33:50 2026 removing 6893852 relations and 4893852 ideals in 2000000 cliques Tue Mar 17 18:33:56 2026 commencing in-memory singleton removal Tue Mar 17 18:33:57 2026 begin with 261798043 relations and 217472869 unique ideals Tue Mar 17 18:34:02 2026 reduce to 261652554 relations and 212432365 ideals in 7 passes Tue Mar 17 18:34:02 2026 max relations containing the same ideal: 110 Tue Mar 17 18:34:51 2026 removing 6889455 relations and 4889455 ideals in 2000000 cliques Tue Mar 17 18:34:57 2026 commencing in-memory singleton removal Tue Mar 17 18:34:58 2026 begin with 254763099 relations and 212432365 unique ideals Tue Mar 17 18:35:03 2026 reduce to 254614270 relations and 207392740 ideals in 6 passes Tue Mar 17 18:35:03 2026 max relations containing the same ideal: 107 Tue Mar 17 18:35:50 2026 removing 6887800 relations and 4887800 ideals in 2000000 cliques Tue Mar 17 18:35:55 2026 commencing in-memory singleton removal Tue Mar 17 18:35:56 2026 begin with 247726470 relations and 207392740 unique ideals Tue Mar 17 18:36:01 2026 reduce to 247573072 relations and 202350193 ideals in 6 passes Tue Mar 17 18:36:01 2026 max relations containing the same ideal: 105 Tue Mar 17 18:36:47 2026 removing 6882988 relations and 4882988 ideals in 2000000 cliques Tue Mar 17 18:36:52 2026 commencing in-memory singleton removal Tue Mar 17 18:36:53 2026 begin with 240690084 relations and 202350193 unique ideals Tue Mar 17 18:36:58 2026 reduce to 240532982 relations and 197308603 ideals in 7 passes Tue Mar 17 18:36:58 2026 max relations containing the same ideal: 105 Tue Mar 17 18:37:43 2026 removing 6887393 relations and 4887393 ideals in 2000000 cliques Tue Mar 17 18:37:48 2026 commencing in-memory singleton removal Tue Mar 17 18:37:49 2026 begin with 233645589 relations and 197308603 unique ideals Tue Mar 17 18:37:53 2026 reduce to 233484387 relations and 192258485 ideals in 6 passes Tue Mar 17 18:37:53 2026 max relations containing the same ideal: 104 Tue Mar 17 18:38:37 2026 removing 6895826 relations and 4895826 ideals in 2000000 cliques Tue Mar 17 18:38:42 2026 commencing in-memory singleton removal Tue Mar 17 18:38:43 2026 begin with 226588561 relations and 192258485 unique ideals Tue Mar 17 18:38:48 2026 reduce to 226421732 relations and 187194311 ideals in 6 passes Tue Mar 17 18:38:48 2026 max relations containing the same ideal: 100 Tue Mar 17 18:39:31 2026 removing 6907528 relations and 4907528 ideals in 2000000 cliques Tue Mar 17 18:39:36 2026 commencing in-memory singleton removal Tue Mar 17 18:39:37 2026 begin with 219514204 relations and 187194311 unique ideals Tue Mar 17 18:39:41 2026 reduce to 219343101 relations and 182114046 ideals in 6 passes Tue Mar 17 18:39:41 2026 max relations containing the same ideal: 99 Tue Mar 17 18:40:22 2026 removing 6924815 relations and 4924815 ideals in 2000000 cliques Tue Mar 17 18:40:27 2026 commencing in-memory singleton removal Tue Mar 17 18:40:28 2026 begin with 212418286 relations and 182114046 unique ideals Tue Mar 17 18:40:32 2026 reduce to 212239919 relations and 177009076 ideals in 6 passes Tue Mar 17 18:40:32 2026 max relations containing the same ideal: 97 Tue Mar 17 18:41:12 2026 removing 6944994 relations and 4944994 ideals in 2000000 cliques Tue Mar 17 18:41:17 2026 commencing in-memory singleton removal Tue Mar 17 18:41:18 2026 begin with 205294925 relations and 177009076 unique ideals Tue Mar 17 18:41:22 2026 reduce to 205109843 relations and 171877144 ideals in 6 passes Tue Mar 17 18:41:22 2026 max relations containing the same ideal: 95 Tue Mar 17 18:42:01 2026 removing 6968667 relations and 4968667 ideals in 2000000 cliques Tue Mar 17 18:42:05 2026 commencing in-memory singleton removal Tue Mar 17 18:42:06 2026 begin with 198141176 relations and 171877144 unique ideals Tue Mar 17 18:42:10 2026 reduce to 197949343 relations and 166714630 ideals in 7 passes Tue Mar 17 18:42:10 2026 max relations containing the same ideal: 94 Tue Mar 17 18:42:48 2026 removing 6996972 relations and 4996972 ideals in 2000000 cliques Tue Mar 17 18:42:53 2026 commencing in-memory singleton removal Tue Mar 17 18:42:54 2026 begin with 190952371 relations and 166714630 unique ideals Tue Mar 17 18:42:57 2026 reduce to 190752107 relations and 161515281 ideals in 6 passes Tue Mar 17 18:42:57 2026 max relations containing the same ideal: 90 Tue Mar 17 18:43:34 2026 removing 7033158 relations and 5033158 ideals in 2000000 cliques Tue Mar 17 18:43:39 2026 commencing in-memory singleton removal Tue Mar 17 18:43:39 2026 begin with 183718949 relations and 161515281 unique ideals Tue Mar 17 18:43:43 2026 reduce to 183510577 relations and 156271487 ideals in 7 passes Tue Mar 17 18:43:43 2026 max relations containing the same ideal: 89 Tue Mar 17 18:44:19 2026 removing 7070687 relations and 5070687 ideals in 2000000 cliques Tue Mar 17 18:44:23 2026 commencing in-memory singleton removal Tue Mar 17 18:44:24 2026 begin with 176439890 relations and 156271487 unique ideals Tue Mar 17 18:44:28 2026 reduce to 176220154 relations and 150978667 ideals in 7 passes Tue Mar 17 18:44:28 2026 max relations containing the same ideal: 89 Tue Mar 17 18:45:03 2026 removing 7119870 relations and 5119870 ideals in 2000000 cliques Tue Mar 17 18:45:07 2026 commencing in-memory singleton removal Tue Mar 17 18:45:08 2026 begin with 169100284 relations and 150978667 unique ideals Tue Mar 17 18:45:11 2026 reduce to 168870095 relations and 145626005 ideals in 7 passes Tue Mar 17 18:45:11 2026 max relations containing the same ideal: 86 Tue Mar 17 18:45:45 2026 removing 7173384 relations and 5173384 ideals in 2000000 cliques Tue Mar 17 18:45:49 2026 commencing in-memory singleton removal Tue Mar 17 18:45:49 2026 begin with 161696711 relations and 145626005 unique ideals Tue Mar 17 18:45:52 2026 reduce to 161453964 relations and 140207053 ideals in 6 passes Tue Mar 17 18:45:52 2026 max relations containing the same ideal: 82 Tue Mar 17 18:46:25 2026 removing 7236176 relations and 5236176 ideals in 2000000 cliques Tue Mar 17 18:46:29 2026 commencing in-memory singleton removal Tue Mar 17 18:46:29 2026 begin with 154217788 relations and 140207053 unique ideals Tue Mar 17 18:46:33 2026 reduce to 153960129 relations and 134710148 ideals in 7 passes Tue Mar 17 18:46:33 2026 max relations containing the same ideal: 81 Tue Mar 17 18:47:04 2026 removing 7302419 relations and 5302419 ideals in 2000000 cliques Tue Mar 17 18:47:08 2026 commencing in-memory singleton removal Tue Mar 17 18:47:08 2026 begin with 146657710 relations and 134710148 unique ideals Tue Mar 17 18:47:11 2026 reduce to 146381364 relations and 129128058 ideals in 7 passes Tue Mar 17 18:47:11 2026 max relations containing the same ideal: 77 Tue Mar 17 18:47:41 2026 removing 7377208 relations and 5377208 ideals in 2000000 cliques Tue Mar 17 18:47:45 2026 commencing in-memory singleton removal Tue Mar 17 18:47:46 2026 begin with 139004156 relations and 129128058 unique ideals Tue Mar 17 18:47:49 2026 reduce to 138708190 relations and 123451126 ideals in 7 passes Tue Mar 17 18:47:49 2026 max relations containing the same ideal: 75 Tue Mar 17 18:48:17 2026 removing 7466555 relations and 5466555 ideals in 2000000 cliques Tue Mar 17 18:48:21 2026 commencing in-memory singleton removal Tue Mar 17 18:48:22 2026 begin with 131241635 relations and 123451126 unique ideals Tue Mar 17 18:48:24 2026 reduce to 130924848 relations and 117663587 ideals in 7 passes Tue Mar 17 18:48:24 2026 max relations containing the same ideal: 73 Tue Mar 17 18:48:52 2026 removing 7563934 relations and 5563934 ideals in 2000000 cliques Tue Mar 17 18:48:55 2026 commencing in-memory singleton removal Tue Mar 17 18:48:56 2026 begin with 123360914 relations and 117663587 unique ideals Tue Mar 17 18:48:58 2026 reduce to 123016867 relations and 111750912 ideals in 8 passes Tue Mar 17 18:48:58 2026 max relations containing the same ideal: 72 Tue Mar 17 18:49:24 2026 removing 7679051 relations and 5679051 ideals in 2000000 cliques Tue Mar 17 18:49:28 2026 commencing in-memory singleton removal Tue Mar 17 18:49:28 2026 begin with 115337816 relations and 111750912 unique ideals Tue Mar 17 18:49:31 2026 reduce to 114959612 relations and 105688410 ideals in 7 passes Tue Mar 17 18:49:31 2026 max relations containing the same ideal: 69 Tue Mar 17 18:49:56 2026 removing 7804866 relations and 5804866 ideals in 2000000 cliques Tue Mar 17 18:49:59 2026 commencing in-memory singleton removal Tue Mar 17 18:49:59 2026 begin with 107154746 relations and 105688410 unique ideals Tue Mar 17 18:50:01 2026 reduce to 106735944 relations and 99458526 ideals in 7 passes Tue Mar 17 18:50:01 2026 max relations containing the same ideal: 61 Tue Mar 17 18:50:24 2026 removing 7953662 relations and 5953662 ideals in 2000000 cliques Tue Mar 17 18:50:27 2026 commencing in-memory singleton removal Tue Mar 17 18:50:28 2026 begin with 98782282 relations and 99458526 unique ideals Tue Mar 17 18:50:30 2026 reduce to 98314985 relations and 93030126 ideals in 8 passes Tue Mar 17 18:50:30 2026 max relations containing the same ideal: 58 Tue Mar 17 18:50:51 2026 removing 1623706 relations and 1336491 ideals in 287215 cliques Tue Mar 17 18:50:53 2026 commencing in-memory singleton removal Tue Mar 17 18:50:53 2026 begin with 96691279 relations and 93030126 unique ideals Tue Mar 17 18:50:55 2026 reduce to 96673081 relations and 91675401 ideals in 7 passes Tue Mar 17 18:50:55 2026 max relations containing the same ideal: 56 Tue Mar 17 18:51:05 2026 relations with 0 large ideals: 312555 Tue Mar 17 18:51:05 2026 relations with 1 large ideals: 267838 Tue Mar 17 18:51:05 2026 relations with 2 large ideals: 2042976 Tue Mar 17 18:51:05 2026 relations with 3 large ideals: 8213723 Tue Mar 17 18:51:05 2026 relations with 4 large ideals: 18676542 Tue Mar 17 18:51:05 2026 relations with 5 large ideals: 25682728 Tue Mar 17 18:51:05 2026 relations with 6 large ideals: 22192907 Tue Mar 17 18:51:05 2026 relations with 7+ large ideals: 19283812 Tue Mar 17 18:51:05 2026 commencing 2-way merge Tue Mar 17 18:51:41 2026 reduce to 60108445 relation sets and 55110765 unique ideals Tue Mar 17 18:51:41 2026 commencing full merge Tue Mar 17 19:03:46 2026 memory use: 7011.3 MB Tue Mar 17 19:03:50 2026 found 28198334 cycles, need 27578965 Tue Mar 17 19:03:58 2026 weight of 27578965 cycles is about 3034215971 (110.02/cycle) Tue Mar 17 19:03:58 2026 distribution of cycle lengths: Tue Mar 17 19:03:58 2026 1 relations: 2310157 Tue Mar 17 19:03:58 2026 2 relations: 2058978 Tue Mar 17 19:03:58 2026 3 relations: 2045142 Tue Mar 17 19:03:58 2026 4 relations: 2023243 Tue Mar 17 19:03:58 2026 5 relations: 2039668 Tue Mar 17 19:03:58 2026 6 relations: 2027360 Tue Mar 17 19:03:58 2026 7 relations: 1971013 Tue Mar 17 19:03:58 2026 8 relations: 1895064 Tue Mar 17 19:03:58 2026 9 relations: 1776900 Tue Mar 17 19:03:58 2026 10+ relations: 9431440 Tue Mar 17 19:03:58 2026 heaviest cycle: 27 relations Tue Mar 17 19:04:05 2026 commencing cycle optimization Tue Mar 17 19:04:43 2026 start with 214728883 relations Tue Mar 17 19:09:27 2026 pruned 8033017 relations Tue Mar 17 19:09:28 2026 memory use: 6115.3 MB Tue Mar 17 19:09:28 2026 distribution of cycle lengths: Tue Mar 17 19:09:28 2026 1 relations: 2310157 Tue Mar 17 19:09:28 2026 2 relations: 2099261 Tue Mar 17 19:09:28 2026 3 relations: 2117085 Tue Mar 17 19:09:28 2026 4 relations: 2096251 Tue Mar 17 19:09:28 2026 5 relations: 2131527 Tue Mar 17 19:09:28 2026 6 relations: 2115194 Tue Mar 17 19:09:28 2026 7 relations: 2066408 Tue Mar 17 19:09:28 2026 8 relations: 1976211 Tue Mar 17 19:09:28 2026 9 relations: 1848852 Tue Mar 17 19:09:28 2026 10+ relations: 8818019 Tue Mar 17 19:09:28 2026 heaviest cycle: 26 relations Tue Mar 17 19:09:57 2026 RelProcTime: 6607 Tue Mar 17 19:09:57 2026 elapsed time 01:50:08 Tue Mar 17 19:09:58 2026 Tue Mar 17 19:09:58 2026 Tue Mar 17 19:09:58 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Mar 17 19:09:58 2026 random seeds: 926dc4ed a9f018a6 Tue Mar 17 19:09:58 2026 MPI process 0 of 1 Tue Mar 17 19:09:58 2026 Using 46 OpenMP threads Tue Mar 17 19:09:58 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits) Tue Mar 17 19:09:59 2026 no P-1/P+1/ECM available, skipping Tue Mar 17 19:09:59 2026 commencing number field sieve (223-digit input) Tue Mar 17 19:09:59 2026 R0: 770452554484090197386587479931326064708100638279 Tue Mar 17 19:09:59 2026 R1: -1 Tue Mar 17 19:09:59 2026 A0: 1 Tue Mar 17 19:09:59 2026 A1: 1 Tue Mar 17 19:09:59 2026 A2: 1 Tue Mar 17 19:09:59 2026 A3: 1 Tue Mar 17 19:09:59 2026 A4: 1 Tue Mar 17 19:09:59 2026 A5: 1 Tue Mar 17 19:09:59 2026 A6: 1 Tue Mar 17 19:09:59 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0 Tue Mar 17 19:09:59 2026 Tue Mar 17 19:09:59 2026 commencing linear algebra Tue Mar 17 19:09:59 2026 using VBITS=256 Tue Mar 17 19:09:59 2026 stopping after matrix build Tue Mar 17 19:09:59 2026 initialized process (0,0) of 1 x 1 grid Tue Mar 17 19:10:01 2026 read 27578965 cycles Tue Mar 17 19:10:40 2026 cycles contain 94035286 unique relations Tue Mar 17 19:11:31 2026 read 94035286 relations Tue Mar 17 19:11:39 2026 using 20 quadratic characters above 4294917295 Tue Mar 17 19:11:48 2026 building initial matrix Tue Mar 17 19:24:55 2026 memory use: 11991.6 MB Tue Mar 17 19:25:12 2026 read 27578965 cycles Tue Mar 17 19:25:14 2026 matrix is 27578775 x 27578965 (12104.5 MB) with weight 3430589346 (124.39/col) Tue Mar 17 19:25:14 2026 sparse part has weight 2869759541 (104.06/col) Tue Mar 17 19:29:58 2026 filtering completed in 2 passes Tue Mar 17 19:30:02 2026 matrix is 27573764 x 27573939 (12104.0 MB) with weight 3430407695 (124.41/col) Tue Mar 17 19:30:02 2026 sparse part has weight 2869678499 (104.07/col) Tue Mar 17 19:31:02 2026 BLanczosTime: 1263 Tue Mar 17 19:31:02 2026 elapsed time 00:21:04 Tue Mar 17 22:38:48 2026 Tue Mar 17 22:38:48 2026 Tue Mar 17 22:38:48 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Mar 17 22:38:48 2026 random seeds: fdbfa8ac 7446c10e Tue Mar 17 22:38:48 2026 MPI process 0 of 1 Tue Mar 17 22:38:48 2026 Using 6 OpenMP threads Tue Mar 17 22:38:48 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits) Tue Mar 17 22:38:49 2026 no P-1/P+1/ECM available, skipping Tue Mar 17 22:38:49 2026 commencing number field sieve (223-digit input) Tue Mar 17 22:38:49 2026 R0: 770452554484090197386587479931326064708100638279 Tue Mar 17 22:38:49 2026 R1: -1 Tue Mar 17 22:38:49 2026 A0: 1 Tue Mar 17 22:38:49 2026 A1: 1 Tue Mar 17 22:38:49 2026 A2: 1 Tue Mar 17 22:38:49 2026 A3: 1 Tue Mar 17 22:38:49 2026 A4: 1 Tue Mar 17 22:38:49 2026 A5: 1 Tue Mar 17 22:38:49 2026 A6: 1 Tue Mar 17 22:38:49 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0 Tue Mar 17 22:38:49 2026 Tue Mar 17 22:38:49 2026 commencing linear algebra Tue Mar 17 22:38:49 2026 using VBITS=256 Tue Mar 17 22:38:49 2026 skipping matrix build Tue Mar 17 22:38:49 2026 initialized process (0,0) of 1 x 1 grid Tue Mar 17 22:39:15 2026 matrix starts at (0, 0) Tue Mar 17 22:39:19 2026 matrix is 27573764 x 27573939 (12104.0 MB) with weight 3430407695 (124.41/col) Tue Mar 17 22:39:19 2026 sparse part has weight 2869678499 (104.07/col) Tue Mar 17 22:39:19 2026 saving the first 240 matrix rows for later Tue Mar 17 22:39:29 2026 matrix includes 256 packed rows Tue Mar 17 22:39:39 2026 matrix is 27573524 x 27573939 (11281.8 MB) with weight 2638774873 (95.70/col) Tue Mar 17 22:39:39 2026 sparse part has weight 2516275449 (91.26/col) Tue Mar 17 22:39:39 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Tue Mar 17 22:39:39 2026 selected card has CUDA arch 8.0 Tue Mar 17 22:43:49 2026 commencing Lanczos iteration Tue Mar 17 22:43:52 2026 memory use: 27191.8 MB Tue Mar 17 22:44:47 2026 linear algebra at 0.1%, ETA 13h14m Tue Mar 17 22:46:07 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions Wed Mar 18 12:01:34 2026 lanczos halted after 108032 iterations (dim = 27573518) Wed Mar 18 12:03:33 2026 recovered 36 nontrivial dependencies Wed Mar 18 12:03:34 2026 BLanczosTime: 48285 Wed Mar 18 12:03:34 2026 elapsed time 13:24:46 Wed Mar 18 12:03:35 2026 Wed Mar 18 12:03:35 2026 Wed Mar 18 12:03:35 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Mar 18 12:03:35 2026 random seeds: d553a562 8ee81d20 Wed Mar 18 12:03:35 2026 MPI process 0 of 1 Wed Mar 18 12:03:35 2026 Using 32 OpenMP threads Wed Mar 18 12:03:35 2026 factoring 4993729095961612831845098991877069853721077705442193973979661349757258277327598008719532411727450084403981835743474800274254331091154816835380246868692387457600075166718223473420856245349967631948500402511809106799245904541 (223 digits) Wed Mar 18 12:03:36 2026 no P-1/P+1/ECM available, skipping Wed Mar 18 12:03:36 2026 commencing number field sieve (223-digit input) Wed Mar 18 12:03:36 2026 R0: 770452554484090197386587479931326064708100638279 Wed Mar 18 12:03:36 2026 R1: -1 Wed Mar 18 12:03:36 2026 A0: 1 Wed Mar 18 12:03:36 2026 A1: 1 Wed Mar 18 12:03:36 2026 A2: 1 Wed Mar 18 12:03:36 2026 A3: 1 Wed Mar 18 12:03:36 2026 A4: 1 Wed Mar 18 12:03:36 2026 A5: 1 Wed Mar 18 12:03:36 2026 A6: 1 Wed Mar 18 12:03:36 2026 skew 1.38, size 4.045e-14, alpha 2.428, combined = 9.966e-15 rroots = 0 Wed Mar 18 12:03:36 2026 Wed Mar 18 12:03:36 2026 commencing square root phase Wed Mar 18 12:03:36 2026 reading relations for dependency 1 Wed Mar 18 12:03:39 2026 read 13789281 cycles Wed Mar 18 12:04:03 2026 cycles contain 47012938 unique relations Wed Mar 18 12:06:40 2026 read 47012938 relations Wed Mar 18 12:09:11 2026 multiplying 47012938 relations Wed Mar 18 12:11:25 2026 multiply complete, coefficients have about 1282.36 million bits Wed Mar 18 12:11:29 2026 initial square root is modulo 565379 Wed Mar 18 12:18:11 2026 GCD is 1, no factor found Wed Mar 18 12:18:11 2026 reading relations for dependency 2 Wed Mar 18 12:18:13 2026 read 13789419 cycles Wed Mar 18 12:18:39 2026 cycles contain 47022456 unique relations Wed Mar 18 12:19:29 2026 read 47022456 relations Wed Mar 18 12:22:06 2026 multiplying 47022456 relations Wed Mar 18 12:24:20 2026 multiply complete, coefficients have about 1282.63 million bits Wed Mar 18 12:24:24 2026 initial square root is modulo 566947 Wed Mar 18 12:31:01 2026 GCD is 1, no factor found Wed Mar 18 12:31:01 2026 reading relations for dependency 3 Wed Mar 18 12:31:04 2026 read 13784414 cycles Wed Mar 18 12:31:29 2026 cycles contain 47009626 unique relations Wed Mar 18 12:32:11 2026 read 47009626 relations Wed Mar 18 12:35:15 2026 multiplying 47009626 relations Wed Mar 18 12:37:27 2026 multiply complete, coefficients have about 1282.26 million bits Wed Mar 18 12:37:31 2026 initial square root is modulo 564793 Wed Mar 18 12:44:07 2026 GCD is 1, no factor found Wed Mar 18 12:44:07 2026 reading relations for dependency 4 Wed Mar 18 12:44:09 2026 read 13790010 cycles Wed Mar 18 12:44:34 2026 cycles contain 47023346 unique relations Wed Mar 18 12:45:17 2026 read 47023346 relations Wed Mar 18 12:48:14 2026 multiplying 47023346 relations Wed Mar 18 12:50:28 2026 multiply complete, coefficients have about 1282.65 million bits Wed Mar 18 12:50:32 2026 initial square root is modulo 567059 Wed Mar 18 12:57:09 2026 GCD is 1, no factor found Wed Mar 18 12:57:09 2026 reading relations for dependency 5 Wed Mar 18 12:57:11 2026 read 13788484 cycles Wed Mar 18 12:57:32 2026 cycles contain 47025742 unique relations Wed Mar 18 12:58:13 2026 read 47025742 relations Wed Mar 18 13:01:17 2026 multiplying 47025742 relations Wed Mar 18 13:03:30 2026 multiply complete, coefficients have about 1282.72 million bits Wed Mar 18 13:03:34 2026 initial square root is modulo 567493 Wed Mar 18 13:10:10 2026 GCD is 1, no factor found Wed Mar 18 13:10:10 2026 reading relations for dependency 6 Wed Mar 18 13:10:12 2026 read 13790636 cycles Wed Mar 18 13:10:35 2026 cycles contain 47028648 unique relations Wed Mar 18 13:11:19 2026 read 47028648 relations Wed Mar 18 13:14:15 2026 multiplying 47028648 relations Wed Mar 18 13:16:28 2026 multiply complete, coefficients have about 1282.81 million bits Wed Mar 18 13:16:32 2026 initial square root is modulo 567997 Wed Mar 18 13:23:11 2026 GCD is 1, no factor found Wed Mar 18 13:23:11 2026 reading relations for dependency 7 Wed Mar 18 13:23:14 2026 read 13784691 cycles Wed Mar 18 13:23:38 2026 cycles contain 47008014 unique relations Wed Mar 18 13:24:21 2026 read 47008014 relations Wed Mar 18 13:26:48 2026 multiplying 47008014 relations Wed Mar 18 13:29:01 2026 multiply complete, coefficients have about 1282.22 million bits Wed Mar 18 13:29:04 2026 initial square root is modulo 564653 Wed Mar 18 13:35:44 2026 sqrtTime: 5528 Wed Mar 18 13:35:44 2026 p71 factor: 13937926933472683487680716355573331437217594666094125489252011465524631 Wed Mar 18 13:35:44 2026 p153 factor: 358283489345097870626284574805502837798464913722331169129825479755419610784585910449928910026022404949033492148670653991162142442440032623969976731205611 Wed Mar 18 13:35:44 2026 elapsed time 01:32:09