Wed Jul 1 19:52:18 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 1 19:52:18 2026 random seeds: dc2abf5b 72b8eb96 Wed Jul 1 19:52:18 2026 factoring 7563359112944453240956942230987043050797832243140637507404438574808454677126080187709392875651836906889845396882085027315544561999231494688877515569571912769485325319658711110141430714082324914908036274120846746857034040867502238404119359030907481297872136970286783410765408064853 (280 digits) Wed Jul 1 19:52:20 2026 no P-1/P+1/ECM available, skipping Wed Jul 1 19:52:20 2026 commencing number field sieve (280-digit input) Wed Jul 1 19:52:20 2026 R0: 45671926166590716193865151022383844364247891968 Wed Jul 1 19:52:20 2026 R1: -1 Wed Jul 1 19:52:20 2026 A0: -2 Wed Jul 1 19:52:20 2026 A1: 0 Wed Jul 1 19:52:20 2026 A2: 0 Wed Jul 1 19:52:20 2026 A3: 0 Wed Jul 1 19:52:20 2026 A4: 0 Wed Jul 1 19:52:20 2026 A5: 0 Wed Jul 1 19:52:20 2026 A6: 5 Wed Jul 1 19:52:20 2026 skew 1.12, size 6.448e-14, alpha 2.819, combined = 1.458e-14 rroots = 2 Wed Jul 1 19:52:20 2026 Wed Jul 1 19:52:20 2026 commencing relation filtering Wed Jul 1 19:52:20 2026 estimated available RAM is 128742.2 MB Wed Jul 1 19:52:20 2026 commencing duplicate removal, pass 1 Wed Jul 1 20:20:22 2026 error -11 reading relation 116276892 Wed Jul 1 20:28:31 2026 error -15 reading relation 148034458 Wed Jul 1 20:46:00 2026 error -11 reading relation 233969311 Wed Jul 1 21:01:00 2026 error -15 reading relation 335340920 Wed Jul 1 21:48:23 2026 error -15 reading relation 602037097 Wed Jul 1 22:03:06 2026 skipped 7615 relations with b > 2^32 Wed Jul 1 22:03:06 2026 found 84986860 hash collisions in 666552931 relations Wed Jul 1 22:03:35 2026 added 1218409 free relations Wed Jul 1 22:03:35 2026 commencing duplicate removal, pass 2 Wed Jul 1 22:11:58 2026 found 0 duplicates and 667771340 unique relations Wed Jul 1 22:11:58 2026 memory use: 4518.0 MB Wed Jul 1 22:11:59 2026 reading ideals above 720000 Wed Jul 1 22:11:59 2026 commencing singleton removal, initial pass Thu Jul 2 01:28:24 2026 memory use: 11024.0 MB Thu Jul 2 01:28:26 2026 reading all ideals from disk Thu Jul 2 01:31:58 2026 memory use: 34051.5 MB Thu Jul 2 01:35:11 2026 keeping 632829786 ideals with weight <= 200, target excess is 3527928 Thu Jul 2 01:38:54 2026 commencing in-memory singleton removal Thu Jul 2 01:42:50 2026 begin with 667771340 relations and 632829786 unique ideals Thu Jul 2 02:00:57 2026 reduce to 402347627 relations and 338284985 ideals in 18 passes Thu Jul 2 02:00:57 2026 max relations containing the same ideal: 152 Thu Jul 2 02:07:27 2026 removing 16591979 relations and 14591979 ideals in 2000000 cliques Thu Jul 2 02:07:44 2026 commencing in-memory singleton removal Thu Jul 2 02:09:44 2026 begin with 385755648 relations and 338284985 unique ideals Thu Jul 2 02:16:23 2026 reduce to 385230726 relations and 323164338 ideals in 9 passes Thu Jul 2 02:16:23 2026 max relations containing the same ideal: 147 Thu Jul 2 02:22:36 2026 removing 12402392 relations and 10402392 ideals in 2000000 cliques Thu Jul 2 02:22:52 2026 commencing in-memory singleton removal Thu Jul 2 02:24:50 2026 begin with 372828334 relations and 323164338 unique ideals Thu Jul 2 02:31:30 2026 reduce to 372503873 relations and 312435496 ideals in 9 passes Thu Jul 2 02:31:30 2026 max relations containing the same ideal: 146 Thu Jul 2 02:37:33 2026 removing 11065880 relations and 9065880 ideals in 2000000 cliques Thu Jul 2 02:37:48 2026 commencing in-memory singleton removal Thu Jul 2 02:39:41 2026 begin with 361437993 relations and 312435496 unique ideals Thu Jul 2 02:45:17 2026 reduce to 361165964 relations and 303096039 ideals in 8 passes Thu Jul 2 02:45:17 2026 max relations containing the same ideal: 143 Thu Jul 2 02:51:11 2026 removing 10317139 relations and 8317139 ideals in 2000000 cliques Thu Jul 2 02:51:26 2026 commencing in-memory singleton removal Thu Jul 2 02:53:17 2026 begin with 350848825 relations and 303096039 unique ideals Thu Jul 2 02:58:41 2026 reduce to 350602273 relations and 294530989 ideals in 8 passes Thu Jul 2 02:58:41 2026 max relations containing the same ideal: 139 Thu Jul 2 03:04:22 2026 removing 9816364 relations and 7816364 ideals in 2000000 cliques Thu Jul 2 03:04:36 2026 commencing in-memory singleton removal Thu Jul 2 03:06:23 2026 begin with 340785909 relations and 294530989 unique ideals Thu Jul 2 03:11:36 2026 reduce to 340555973 relations and 286483360 ideals in 8 passes Thu Jul 2 03:11:36 2026 max relations containing the same ideal: 138 Thu Jul 2 03:17:08 2026 removing 9451522 relations and 7451522 ideals in 2000000 cliques Thu Jul 2 03:17:22 2026 commencing in-memory singleton removal Thu Jul 2 03:19:06 2026 begin with 331104451 relations and 286483360 unique ideals Thu Jul 2 03:23:31 2026 reduce to 330885144 relations and 278811379 ideals in 7 passes Thu Jul 2 03:23:31 2026 max relations containing the same ideal: 135 Thu Jul 2 03:28:48 2026 removing 9168945 relations and 7168945 ideals in 2000000 cliques Thu Jul 2 03:29:02 2026 commencing in-memory singleton removal Thu Jul 2 03:30:40 2026 begin with 321716199 relations and 278811379 unique ideals Thu Jul 2 03:34:57 2026 reduce to 321503420 relations and 271428375 ideals in 7 passes Thu Jul 2 03:34:57 2026 max relations containing the same ideal: 132 Thu Jul 2 03:40:04 2026 removing 8947225 relations and 6947225 ideals in 2000000 cliques Thu Jul 2 03:40:17 2026 commencing in-memory singleton removal Thu Jul 2 03:41:53 2026 begin with 312556195 relations and 271428375 unique ideals Thu Jul 2 03:46:01 2026 reduce to 312346496 relations and 264270265 ideals in 7 passes Thu Jul 2 03:46:01 2026 max relations containing the same ideal: 130 Thu Jul 2 03:50:59 2026 removing 8776407 relations and 6776407 ideals in 2000000 cliques Thu Jul 2 03:51:12 2026 commencing in-memory singleton removal Thu Jul 2 03:52:43 2026 begin with 303570089 relations and 264270265 unique ideals Thu Jul 2 03:56:43 2026 reduce to 303362664 relations and 257285173 ideals in 7 passes Thu Jul 2 03:56:43 2026 max relations containing the same ideal: 127 Thu Jul 2 04:01:30 2026 removing 8633940 relations and 6633940 ideals in 2000000 cliques Thu Jul 2 04:01:43 2026 commencing in-memory singleton removal Thu Jul 2 04:03:10 2026 begin with 294728724 relations and 257285173 unique ideals Thu Jul 2 04:07:35 2026 reduce to 294522570 relations and 250443825 ideals in 8 passes Thu Jul 2 04:07:35 2026 max relations containing the same ideal: 124 Thu Jul 2 04:12:13 2026 removing 8518811 relations and 6518811 ideals in 2000000 cliques Thu Jul 2 04:12:26 2026 commencing in-memory singleton removal Thu Jul 2 04:13:50 2026 begin with 286003759 relations and 250443825 unique ideals Thu Jul 2 04:17:35 2026 reduce to 285796412 relations and 243716384 ideals in 7 passes Thu Jul 2 04:17:35 2026 max relations containing the same ideal: 121 Thu Jul 2 04:22:06 2026 removing 8420996 relations and 6420996 ideals in 2000000 cliques Thu Jul 2 04:22:17 2026 commencing in-memory singleton removal Thu Jul 2 04:23:40 2026 begin with 277375416 relations and 243716384 unique ideals Thu Jul 2 04:27:15 2026 reduce to 277165723 relations and 237084299 ideals in 7 passes Thu Jul 2 04:27:15 2026 max relations containing the same ideal: 119 Thu Jul 2 04:31:36 2026 removing 8348892 relations and 6348892 ideals in 2000000 cliques Thu Jul 2 04:31:48 2026 commencing in-memory singleton removal Thu Jul 2 04:33:07 2026 begin with 268816831 relations and 237084299 unique ideals Thu Jul 2 04:37:05 2026 reduce to 268606941 relations and 230524106 ideals in 8 passes Thu Jul 2 04:37:05 2026 max relations containing the same ideal: 117 Thu Jul 2 04:41:20 2026 removing 8286548 relations and 6286548 ideals in 2000000 cliques Thu Jul 2 04:41:31 2026 commencing in-memory singleton removal Thu Jul 2 04:42:47 2026 begin with 260320393 relations and 230524106 unique ideals Thu Jul 2 04:46:09 2026 reduce to 260105640 relations and 224021386 ideals in 7 passes Thu Jul 2 04:46:09 2026 max relations containing the same ideal: 116 Thu Jul 2 04:50:15 2026 removing 8236936 relations and 6236936 ideals in 2000000 cliques Thu Jul 2 04:50:26 2026 commencing in-memory singleton removal Thu Jul 2 04:51:40 2026 begin with 251868704 relations and 224021386 unique ideals Thu Jul 2 04:55:47 2026 reduce to 251650806 relations and 217564995 ideals in 9 passes Thu Jul 2 04:55:47 2026 max relations containing the same ideal: 113 Thu Jul 2 04:59:46 2026 removing 8201898 relations and 6201898 ideals in 2000000 cliques Thu Jul 2 04:59:57 2026 commencing in-memory singleton removal Thu Jul 2 05:01:07 2026 begin with 243448908 relations and 217564995 unique ideals Thu Jul 2 05:04:14 2026 reduce to 243224959 relations and 211137456 ideals in 7 passes Thu Jul 2 05:04:14 2026 max relations containing the same ideal: 111 Thu Jul 2 05:08:04 2026 removing 8177332 relations and 6177332 ideals in 2000000 cliques Thu Jul 2 05:08:14 2026 commencing in-memory singleton removal Thu Jul 2 05:09:22 2026 begin with 235047627 relations and 211137456 unique ideals Thu Jul 2 05:12:21 2026 reduce to 234817965 relations and 204728722 ideals in 7 passes Thu Jul 2 05:12:21 2026 max relations containing the same ideal: 109 Thu Jul 2 05:16:01 2026 removing 8164236 relations and 6164236 ideals in 2000000 cliques Thu Jul 2 05:16:12 2026 commencing in-memory singleton removal Thu Jul 2 05:17:15 2026 begin with 226653729 relations and 204728722 unique ideals Thu Jul 2 05:20:07 2026 reduce to 226418238 relations and 198327127 ideals in 7 passes Thu Jul 2 05:20:07 2026 max relations containing the same ideal: 106 Thu Jul 2 05:23:39 2026 removing 8155125 relations and 6155125 ideals in 2000000 cliques Thu Jul 2 05:23:49 2026 commencing in-memory singleton removal Thu Jul 2 05:24:50 2026 begin with 218263113 relations and 198327127 unique ideals Thu Jul 2 05:27:35 2026 reduce to 218019494 relations and 191926485 ideals in 7 passes Thu Jul 2 05:27:35 2026 max relations containing the same ideal: 105 Thu Jul 2 05:30:59 2026 removing 8158506 relations and 6158506 ideals in 2000000 cliques Thu Jul 2 05:31:08 2026 commencing in-memory singleton removal Thu Jul 2 05:32:07 2026 begin with 209860988 relations and 191926485 unique ideals Thu Jul 2 05:34:46 2026 reduce to 209607907 relations and 185512821 ideals in 7 passes Thu Jul 2 05:34:46 2026 max relations containing the same ideal: 104 Thu Jul 2 05:38:02 2026 removing 8173110 relations and 6173110 ideals in 2000000 cliques Thu Jul 2 05:38:11 2026 commencing in-memory singleton removal Thu Jul 2 05:39:07 2026 begin with 201434797 relations and 185512821 unique ideals Thu Jul 2 05:41:39 2026 reduce to 201171550 relations and 179074131 ideals in 7 passes Thu Jul 2 05:41:39 2026 max relations containing the same ideal: 100 Thu Jul 2 05:44:49 2026 removing 8194705 relations and 6194705 ideals in 2000000 cliques Thu Jul 2 05:44:58 2026 commencing in-memory singleton removal Thu Jul 2 05:45:51 2026 begin with 192976845 relations and 179074131 unique ideals Thu Jul 2 05:48:15 2026 reduce to 192699300 relations and 172599324 ideals in 7 passes Thu Jul 2 05:48:15 2026 max relations containing the same ideal: 96 Thu Jul 2 05:51:18 2026 removing 8222977 relations and 6222977 ideals in 2000000 cliques Thu Jul 2 05:51:26 2026 commencing in-memory singleton removal Thu Jul 2 05:52:18 2026 begin with 184476323 relations and 172599324 unique ideals Thu Jul 2 05:54:35 2026 reduce to 184188825 relations and 166086188 ideals in 7 passes Thu Jul 2 05:54:35 2026 max relations containing the same ideal: 92 Thu Jul 2 05:57:30 2026 removing 8261960 relations and 6261960 ideals in 2000000 cliques Thu Jul 2 05:57:39 2026 commencing in-memory singleton removal Thu Jul 2 05:58:27 2026 begin with 175926865 relations and 166086188 unique ideals Thu Jul 2 06:00:37 2026 reduce to 175620291 relations and 159514691 ideals in 7 passes Thu Jul 2 06:00:37 2026 max relations containing the same ideal: 88 Thu Jul 2 06:03:24 2026 removing 8315673 relations and 6315673 ideals in 2000000 cliques Thu Jul 2 06:03:32 2026 commencing in-memory singleton removal Thu Jul 2 06:04:18 2026 begin with 167304618 relations and 159514691 unique ideals Thu Jul 2 06:06:22 2026 reduce to 166980071 relations and 152871231 ideals in 7 passes Thu Jul 2 06:06:22 2026 max relations containing the same ideal: 83 Thu Jul 2 06:09:01 2026 removing 8377281 relations and 6377281 ideals in 2000000 cliques Thu Jul 2 06:09:09 2026 commencing in-memory singleton removal Thu Jul 2 06:09:52 2026 begin with 158602790 relations and 152871231 unique ideals Thu Jul 2 06:12:22 2026 reduce to 158257863 relations and 146145335 ideals in 9 passes Thu Jul 2 06:12:22 2026 max relations containing the same ideal: 82 Thu Jul 2 06:14:51 2026 removing 8449283 relations and 6449283 ideals in 2000000 cliques Thu Jul 2 06:14:59 2026 commencing in-memory singleton removal Thu Jul 2 06:15:39 2026 begin with 149808580 relations and 146145335 unique ideals Thu Jul 2 06:17:45 2026 reduce to 149437344 relations and 139320769 ideals in 8 passes Thu Jul 2 06:17:45 2026 max relations containing the same ideal: 77 Thu Jul 2 06:20:07 2026 removing 8533201 relations and 6533201 ideals in 2000000 cliques Thu Jul 2 06:20:14 2026 commencing in-memory singleton removal Thu Jul 2 06:20:51 2026 begin with 140904143 relations and 139320769 unique ideals Thu Jul 2 06:22:49 2026 reduce to 140504894 relations and 132383665 ideals in 8 passes Thu Jul 2 06:22:49 2026 max relations containing the same ideal: 74 Thu Jul 2 06:25:02 2026 removing 8634235 relations and 6634235 ideals in 2000000 cliques Thu Jul 2 06:25:09 2026 commencing in-memory singleton removal Thu Jul 2 06:25:44 2026 begin with 131870659 relations and 132383665 unique ideals Thu Jul 2 06:27:47 2026 reduce to 131433823 relations and 125307183 ideals in 9 passes Thu Jul 2 06:27:47 2026 max relations containing the same ideal: 71 Thu Jul 2 06:29:51 2026 removing 8751428 relations and 6751428 ideals in 2000000 cliques Thu Jul 2 06:29:58 2026 commencing in-memory singleton removal Thu Jul 2 06:30:30 2026 begin with 122682395 relations and 125307183 unique ideals Thu Jul 2 06:32:12 2026 reduce to 122199517 relations and 118066676 ideals in 8 passes Thu Jul 2 06:32:12 2026 max relations containing the same ideal: 70 Thu Jul 2 06:34:07 2026 removing 323481 relations and 283037 ideals in 40444 cliques Thu Jul 2 06:34:11 2026 commencing in-memory singleton removal Thu Jul 2 06:34:43 2026 begin with 121876036 relations and 118066676 unique ideals Thu Jul 2 06:35:47 2026 reduce to 121875568 relations and 117783171 ideals in 5 passes Thu Jul 2 06:35:47 2026 max relations containing the same ideal: 70 Thu Jul 2 06:36:19 2026 relations with 0 large ideals: 134970 Thu Jul 2 06:36:19 2026 relations with 1 large ideals: 129939 Thu Jul 2 06:36:19 2026 relations with 2 large ideals: 1496840 Thu Jul 2 06:36:19 2026 relations with 3 large ideals: 7402774 Thu Jul 2 06:36:19 2026 relations with 4 large ideals: 19767925 Thu Jul 2 06:36:19 2026 relations with 5 large ideals: 31437489 Thu Jul 2 06:36:19 2026 relations with 6 large ideals: 31146760 Thu Jul 2 06:36:19 2026 relations with 7+ large ideals: 30358871 Thu Jul 2 06:36:19 2026 commencing 2-way merge Thu Jul 2 06:39:05 2026 reduce to 75190721 relation sets and 71098324 unique ideals Thu Jul 2 06:39:05 2026 commencing full merge Thu Jul 2 07:12:03 2026 memory use: 8525.6 MB Thu Jul 2 07:12:17 2026 found 37313891 cycles, need 36760524 Thu Jul 2 07:12:37 2026 weight of 36760524 cycles is about 3308931830 (90.01/cycle) Thu Jul 2 07:12:38 2026 distribution of cycle lengths: Thu Jul 2 07:12:38 2026 1 relations: 3758494 Thu Jul 2 07:12:38 2026 2 relations: 3572188 Thu Jul 2 07:12:38 2026 3 relations: 3555231 Thu Jul 2 07:12:38 2026 4 relations: 3465229 Thu Jul 2 07:12:38 2026 5 relations: 3292655 Thu Jul 2 07:12:38 2026 6 relations: 3120354 Thu Jul 2 07:12:38 2026 7 relations: 2867914 Thu Jul 2 07:12:38 2026 8 relations: 2586585 Thu Jul 2 07:12:38 2026 9 relations: 2275501 Thu Jul 2 07:12:38 2026 10+ relations: 8266373 Thu Jul 2 07:12:38 2026 heaviest cycle: 22 relations Thu Jul 2 07:12:59 2026 commencing cycle optimization Thu Jul 2 07:14:52 2026 start with 234839657 relations Thu Jul 2 07:24:36 2026 pruned 6440192 relations Thu Jul 2 07:24:40 2026 memory use: 7375.2 MB Thu Jul 2 07:24:41 2026 distribution of cycle lengths: Thu Jul 2 07:24:41 2026 1 relations: 3758494 Thu Jul 2 07:24:41 2026 2 relations: 3647283 Thu Jul 2 07:24:41 2026 3 relations: 3681287 Thu Jul 2 07:24:41 2026 4 relations: 3563891 Thu Jul 2 07:24:41 2026 5 relations: 3400765 Thu Jul 2 07:24:41 2026 6 relations: 3201520 Thu Jul 2 07:24:41 2026 7 relations: 2942100 Thu Jul 2 07:24:41 2026 8 relations: 2628508 Thu Jul 2 07:24:41 2026 9 relations: 2297830 Thu Jul 2 07:24:41 2026 10+ relations: 7638846 Thu Jul 2 07:24:41 2026 heaviest cycle: 22 relations Thu Jul 2 07:26:04 2026 RelProcTime: 41624 Thu Jul 2 07:26:23 2026 Thu Jul 2 07:26:23 2026 commencing linear algebra Thu Jul 2 07:26:23 2026 using VBITS=128 Thu Jul 2 07:26:30 2026 read 36760524 cycles Thu Jul 2 07:28:25 2026 cycles contain 119378650 unique relations Thu Jul 2 07:48:38 2026 read 119378650 relations Thu Jul 2 07:54:04 2026 using 20 quadratic characters above 4294917295 Thu Jul 2 08:07:05 2026 building initial matrix Thu Jul 2 08:50:27 2026 memory use: 15089.3 MB Thu Jul 2 08:51:01 2026 read 36760524 cycles Thu Jul 2 08:51:08 2026 matrix is 36760337 x 36760524 (13526.0 MB) with weight 3884203770 (105.66/col) Thu Jul 2 08:51:08 2026 sparse part has weight 3178158546 (86.46/col) Thu Jul 2 09:02:57 2026 filtering completed in 2 passes Thu Jul 2 09:03:07 2026 matrix is 36745330 x 36745515 (13524.9 MB) with weight 3883774037 (105.69/col) Thu Jul 2 09:03:07 2026 sparse part has weight 3178009335 (86.49/col) Thu Jul 2 09:06:59 2026 matrix starts at (0, 0) Thu Jul 2 09:07:05 2026 matrix is 36745330 x 36745515 (13524.9 MB) with weight 3883774037 (105.69/col) Thu Jul 2 09:07:05 2026 sparse part has weight 3178009335 (86.49/col) Thu Jul 2 09:07:05 2026 saving the first 112 matrix rows for later Thu Jul 2 09:07:16 2026 matrix includes 128 packed rows Thu Jul 2 09:07:29 2026 matrix is 36745218 x 36745515 (12851.8 MB) with weight 3060404470 (83.29/col) Thu Jul 2 09:07:29 2026 sparse part has weight 2928083826 (79.69/col) Thu Jul 2 09:07:30 2026 using GPU 0 (Tesla P100-PCIE-16GB) Thu Jul 2 09:07:30 2026 selected card has CUDA arch 6.0 Thu Jul 2 09:18:23 2026 commencing Lanczos iteration Thu Jul 2 09:18:29 2026 memory use: 27385.7 MB Thu Jul 2 09:35:38 2026 linear algebra at 0.1%, ETA 341h18m Thu Jul 2 09:40:01 2026 checking every 10000 dimensions, checkpointing every 110000 dimensions Tue Jul 14 07:11:29 2026 lanczos halted after 252812 iterations (dim = 32166962) Tue Jul 14 07:12:16 2026 BLanczosTime: 1035953 Tue Jul 14 07:12:16 2026 Tue Jul 14 07:12:16 2026 commencing square root phase Tue Jul 14 07:12:16 2026 handling dependencies 1 to 64 Tue Jul 14 07:12:16 2026 reading relations for dependency 1 Tue Jul 14 07:12:16 2026 error: read_cycles can't open dependency file Fri Jul 17 11:56:04 2026 Fri Jul 17 11:56:04 2026 Fri Jul 17 11:56:04 2026 Msieve v. 1.54 (SVN unknown) Fri Jul 17 11:56:04 2026 random seeds: 111aca98 535334f2 Fri Jul 17 11:56:04 2026 factoring 7563359112944453240956942230987043050797832243140637507404438574808454677126080187709392875651836906889845396882085027315544561999231494688877515569571912769485325319658711110141430714082324914908036274120846746857034040867502238404119359030907481297872136970286783410765408064853 (280 digits) Fri Jul 17 11:56:06 2026 no P-1/P+1/ECM available, skipping Fri Jul 17 11:56:06 2026 commencing number field sieve (280-digit input) Fri Jul 17 11:56:06 2026 R0: 45671926166590716193865151022383844364247891968 Fri Jul 17 11:56:06 2026 R1: -1 Fri Jul 17 11:56:06 2026 A0: -2 Fri Jul 17 11:56:06 2026 A1: 0 Fri Jul 17 11:56:06 2026 A2: 0 Fri Jul 17 11:56:06 2026 A3: 0 Fri Jul 17 11:56:06 2026 A4: 0 Fri Jul 17 11:56:06 2026 A5: 0 Fri Jul 17 11:56:06 2026 A6: 5 Fri Jul 17 11:56:06 2026 skew 1.12, size 6.448e-14, alpha 2.819, combined = 1.458e-14 rroots = 2 Fri Jul 17 11:56:06 2026 Fri Jul 17 11:56:06 2026 commencing linear algebra Fri Jul 17 11:56:06 2026 using VBITS=128 Fri Jul 17 11:57:59 2026 matrix starts at (0, 0) Fri Jul 17 11:58:09 2026 matrix is 36745330 x 36745515 (13524.9 MB) with weight 3883774037 (105.69/col) Fri Jul 17 11:58:09 2026 sparse part has weight 3178009335 (86.49/col) Fri Jul 17 11:58:09 2026 saving the first 112 matrix rows for later Fri Jul 17 11:58:24 2026 matrix includes 128 packed rows Fri Jul 17 11:58:35 2026 matrix is 36745218 x 36745515 (12851.8 MB) with weight 3060404470 (83.29/col) Fri Jul 17 11:58:35 2026 sparse part has weight 2928083826 (79.69/col) Fri Jul 17 11:58:35 2026 using GPU 0 (Tesla P100-PCIE-16GB) Fri Jul 17 11:58:35 2026 selected card has CUDA arch 6.0 Fri Jul 17 12:08:06 2026 commencing Lanczos iteration Fri Jul 17 12:08:11 2026 memory use: 27385.7 MB Fri Jul 17 12:08:35 2026 restarting at iteration 252812 (dim = 32166962) Fri Jul 17 12:15:21 2026 checking every 10000 dimensions, checkpointing every 110000 dimensions Fri Jul 17 12:25:03 2026 linear algebra at 87.6%, ETA 40h53m Sun Jul 19 10:44:33 2026 lanczos halted after 288796 iterations (dim = 36745215) Sun Jul 19 10:46:50 2026 recovered 34 nontrivial dependencies Sun Jul 19 10:46:54 2026 BLanczosTime: 168648 Sun Jul 19 10:46:54 2026 Sun Jul 19 10:46:54 2026 commencing square root phase Sun Jul 19 10:46:54 2026 handling dependencies 1 to 64 Sun Jul 19 10:46:54 2026 reading relations for dependency 1 Sun Jul 19 10:57:50 2026 read 18373035 cycles Sun Jul 19 10:58:49 2026 cycles contain 59698960 unique relations Sun Jul 19 11:10:00 2026 read 59698960 relations Sun Jul 19 11:16:19 2026 multiplying 59698960 relations Sun Jul 19 12:19:29 2026 multiply complete, coefficients have about 1724.17 million bits Sun Jul 19 12:19:38 2026 initial square root is modulo 54220513 Sun Jul 19 13:11:15 2026 GCD is 1, no factor found Sun Jul 19 13:11:15 2026 reading relations for dependency 2 Sun Jul 19 13:11:25 2026 read 18371918 cycles Sun Jul 19 13:12:05 2026 cycles contain 59691552 unique relations Sun Jul 19 13:18:15 2026 read 59691552 relations Sun Jul 19 13:25:54 2026 multiplying 59691552 relations Sun Jul 19 14:27:31 2026 multiply complete, coefficients have about 1723.97 million bits Sun Jul 19 14:27:39 2026 initial square root is modulo 54105349 Sun Jul 19 15:18:56 2026 sqrtTime: 16322 Sun Jul 19 15:18:56 2026 p84 factor: 964656318262673669980752956067053764494262883717312216835145968526435560089659243039 Sun Jul 19 15:18:56 2026 p196 factor: 7840470196231035476552201308220418164004780893099240071906037799285414409394930092862057280555544668025886573859936081410019972111646325815687542699120804685003808499344701885704862664367247305227 Sun Jul 19 15:18:56 2026 elapsed time 51:22:52