Tue Mar 10 13:36:14 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Mar 10 13:36:14 2026 random seeds: 951300f9 3b722954 Tue Mar 10 13:36:14 2026 Using 32 OpenMP threads Tue Mar 10 13:36:14 2026 factoring 11554387407323424074206062794667810695964457824177899112257170878249000561109781656812152819064676377715109596493180569954962251596360508085967790895429274333836626109104684185604283490857608893655267557394492997880650621416918653277 (233 digits) Tue Mar 10 13:36:15 2026 no P-1/P+1/ECM available, skipping Tue Mar 10 13:36:15 2026 commencing number field sieve (233-digit input) Tue Mar 10 13:36:15 2026 R0: 92179817329823071073537485553753352853314169 Tue Mar 10 13:36:15 2026 R1: -1 Tue Mar 10 13:36:15 2026 A0: -277 Tue Mar 10 13:36:15 2026 A1: 0 Tue Mar 10 13:36:15 2026 A2: 0 Tue Mar 10 13:36:15 2026 A3: 0 Tue Mar 10 13:36:15 2026 A4: 0 Tue Mar 10 13:36:15 2026 A5: 0 Tue Mar 10 13:36:15 2026 A6: 1 Tue Mar 10 13:36:15 2026 skew 3.31, size 4.724e-13, alpha 0.938, combined = 6.656e-14 rroots = 2 Tue Mar 10 13:36:15 2026 Tue Mar 10 13:36:15 2026 commencing relation filtering Tue Mar 10 13:36:15 2026 setting target matrix density to 120.0 Tue Mar 10 13:36:15 2026 estimated available RAM is 128740.1 MB Tue Mar 10 13:36:15 2026 commencing duplicate removal, pass 1 Tue Mar 10 13:37:37 2026 error -11 reading relation 141780866 Tue Mar 10 13:38:05 2026 error -15 reading relation 189798840 Tue Mar 10 13:38:27 2026 error -15 reading relation 229148400 Tue Mar 10 13:38:32 2026 error -11 reading relation 237344038 Tue Mar 10 13:39:09 2026 skipped 178 relations with b > 2^32 Tue Mar 10 13:39:09 2026 found 10158696 hash collisions in 302418182 relations Tue Mar 10 13:39:15 2026 added 1219075 free relations Tue Mar 10 13:39:15 2026 commencing duplicate removal, pass 2 Tue Mar 10 13:39:59 2026 found 0 duplicates and 303637257 unique relations Tue Mar 10 13:39:59 2026 memory use: 1044.8 MB Tue Mar 10 13:39:59 2026 reading ideals above 720000 Tue Mar 10 13:39:59 2026 commencing singleton removal, initial pass Tue Mar 10 13:47:47 2026 memory use: 6024.0 MB Tue Mar 10 13:47:47 2026 reading all ideals from disk Tue Mar 10 13:47:49 2026 memory use: 14910.6 MB Tue Mar 10 13:48:01 2026 keeping 264199014 ideals with weight <= 200, target excess is 1582246 Tue Mar 10 13:48:18 2026 commencing in-memory singleton removal Tue Mar 10 13:48:23 2026 begin with 303637257 relations and 264199014 unique ideals Tue Mar 10 13:48:50 2026 reduce to 230614321 relations and 187730182 ideals in 14 passes Tue Mar 10 13:48:50 2026 max relations containing the same ideal: 176 Tue Mar 10 13:49:28 2026 removing 13036180 relations and 11036180 ideals in 2000000 cliques Tue Mar 10 13:49:31 2026 commencing in-memory singleton removal Tue Mar 10 13:49:35 2026 begin with 217578141 relations and 187730182 unique ideals Tue Mar 10 13:49:50 2026 reduce to 217012237 relations and 176121418 ideals in 9 passes Tue Mar 10 13:49:50 2026 max relations containing the same ideal: 172 Tue Mar 10 13:50:25 2026 removing 9859227 relations and 7859227 ideals in 2000000 cliques Tue Mar 10 13:50:28 2026 commencing in-memory singleton removal Tue Mar 10 13:50:31 2026 begin with 207153010 relations and 176121418 unique ideals Tue Mar 10 13:50:44 2026 reduce to 206787735 relations and 167893350 ideals in 8 passes Tue Mar 10 13:50:44 2026 max relations containing the same ideal: 165 Tue Mar 10 13:51:18 2026 removing 8871958 relations and 6871958 ideals in 2000000 cliques Tue Mar 10 13:51:21 2026 commencing in-memory singleton removal Tue Mar 10 13:51:24 2026 begin with 197915777 relations and 167893350 unique ideals Tue Mar 10 13:51:34 2026 reduce to 197600202 relations and 160702809 ideals in 7 passes Tue Mar 10 13:51:34 2026 max relations containing the same ideal: 160 Tue Mar 10 13:52:07 2026 removing 8331914 relations and 6331914 ideals in 2000000 cliques Tue Mar 10 13:52:10 2026 commencing in-memory singleton removal Tue Mar 10 13:52:13 2026 begin with 189268288 relations and 160702809 unique ideals Tue Mar 10 13:52:24 2026 reduce to 188974146 relations and 154073969 ideals in 8 passes Tue Mar 10 13:52:24 2026 max relations containing the same ideal: 156 Tue Mar 10 13:52:56 2026 removing 7989294 relations and 5989294 ideals in 2000000 cliques Tue Mar 10 13:52:58 2026 commencing in-memory singleton removal Tue Mar 10 13:53:01 2026 begin with 180984852 relations and 154073969 unique ideals Tue Mar 10 13:53:11 2026 reduce to 180704233 relations and 147801229 ideals in 7 passes Tue Mar 10 13:53:11 2026 max relations containing the same ideal: 152 Tue Mar 10 13:53:41 2026 removing 7749617 relations and 5749617 ideals in 2000000 cliques Tue Mar 10 13:53:44 2026 commencing in-memory singleton removal Tue Mar 10 13:53:46 2026 begin with 172954616 relations and 147801229 unique ideals Tue Mar 10 13:53:54 2026 reduce to 172680054 relations and 141774246 ideals in 6 passes Tue Mar 10 13:53:54 2026 max relations containing the same ideal: 147 Tue Mar 10 13:54:23 2026 removing 7579228 relations and 5579228 ideals in 2000000 cliques Tue Mar 10 13:54:26 2026 commencing in-memory singleton removal Tue Mar 10 13:54:28 2026 begin with 165100826 relations and 141774246 unique ideals Tue Mar 10 13:54:37 2026 reduce to 164828328 relations and 135919523 ideals in 7 passes Tue Mar 10 13:54:37 2026 max relations containing the same ideal: 141 Tue Mar 10 13:55:05 2026 removing 7450754 relations and 5450754 ideals in 2000000 cliques Tue Mar 10 13:55:07 2026 commencing in-memory singleton removal Tue Mar 10 13:55:10 2026 begin with 157377574 relations and 135919523 unique ideals Tue Mar 10 13:55:18 2026 reduce to 157102307 relations and 130190431 ideals in 7 passes Tue Mar 10 13:55:18 2026 max relations containing the same ideal: 138 Tue Mar 10 13:55:45 2026 removing 7356631 relations and 5356631 ideals in 2000000 cliques Tue Mar 10 13:55:47 2026 commencing in-memory singleton removal Tue Mar 10 13:55:50 2026 begin with 149745676 relations and 130190431 unique ideals Tue Mar 10 13:55:58 2026 reduce to 149466898 relations and 124551748 ideals in 8 passes Tue Mar 10 13:55:58 2026 max relations containing the same ideal: 134 Tue Mar 10 13:56:24 2026 removing 7285503 relations and 5285503 ideals in 2000000 cliques Tue Mar 10 13:56:27 2026 commencing in-memory singleton removal Tue Mar 10 13:56:29 2026 begin with 142181395 relations and 124551748 unique ideals Tue Mar 10 13:56:37 2026 reduce to 141894900 relations and 118976232 ideals in 8 passes Tue Mar 10 13:56:37 2026 max relations containing the same ideal: 129 Tue Mar 10 13:57:02 2026 removing 7243954 relations and 5243954 ideals in 2000000 cliques Tue Mar 10 13:57:04 2026 commencing in-memory singleton removal Tue Mar 10 13:57:06 2026 begin with 134650946 relations and 118976232 unique ideals Tue Mar 10 13:57:13 2026 reduce to 134355619 relations and 113433144 ideals in 7 passes Tue Mar 10 13:57:13 2026 max relations containing the same ideal: 126 Tue Mar 10 13:57:37 2026 removing 7216859 relations and 5216859 ideals in 2000000 cliques Tue Mar 10 13:57:39 2026 commencing in-memory singleton removal Tue Mar 10 13:57:41 2026 begin with 127138760 relations and 113433144 unique ideals Tue Mar 10 13:57:47 2026 reduce to 126830595 relations and 107904024 ideals in 7 passes Tue Mar 10 13:57:47 2026 max relations containing the same ideal: 119 Tue Mar 10 13:58:10 2026 removing 7202325 relations and 5202325 ideals in 2000000 cliques Tue Mar 10 13:58:12 2026 commencing in-memory singleton removal Tue Mar 10 13:58:14 2026 begin with 119628270 relations and 107904024 unique ideals Tue Mar 10 13:58:21 2026 reduce to 119305424 relations and 102374327 ideals in 8 passes Tue Mar 10 13:58:21 2026 max relations containing the same ideal: 112 Tue Mar 10 13:58:42 2026 removing 7209561 relations and 5209561 ideals in 2000000 cliques Tue Mar 10 13:58:44 2026 commencing in-memory singleton removal Tue Mar 10 13:58:45 2026 begin with 112095863 relations and 102374327 unique ideals Tue Mar 10 13:58:52 2026 reduce to 111753845 relations and 96817553 ideals in 8 passes Tue Mar 10 13:58:52 2026 max relations containing the same ideal: 107 Tue Mar 10 13:59:12 2026 removing 7230941 relations and 5230941 ideals in 2000000 cliques Tue Mar 10 13:59:14 2026 commencing in-memory singleton removal Tue Mar 10 13:59:15 2026 begin with 104522904 relations and 96817553 unique ideals Tue Mar 10 13:59:21 2026 reduce to 104157274 relations and 91215130 ideals in 7 passes Tue Mar 10 13:59:21 2026 max relations containing the same ideal: 105 Tue Mar 10 13:59:39 2026 removing 7265339 relations and 5265339 ideals in 2000000 cliques Tue Mar 10 13:59:41 2026 commencing in-memory singleton removal Tue Mar 10 13:59:43 2026 begin with 96891935 relations and 91215130 unique ideals Tue Mar 10 13:59:48 2026 reduce to 96496973 relations and 85548205 ideals in 8 passes Tue Mar 10 13:59:48 2026 max relations containing the same ideal: 100 Tue Mar 10 14:00:06 2026 removing 7319098 relations and 5319098 ideals in 2000000 cliques Tue Mar 10 14:00:08 2026 commencing in-memory singleton removal Tue Mar 10 14:00:09 2026 begin with 89177875 relations and 85548205 unique ideals Tue Mar 10 14:00:14 2026 reduce to 88743716 relations and 79787134 ideals in 8 passes Tue Mar 10 14:00:14 2026 max relations containing the same ideal: 97 Tue Mar 10 14:00:31 2026 removing 7392669 relations and 5392669 ideals in 2000000 cliques Tue Mar 10 14:00:33 2026 commencing in-memory singleton removal Tue Mar 10 14:00:34 2026 begin with 81351047 relations and 79787134 unique ideals Tue Mar 10 14:00:38 2026 reduce to 80870277 relations and 73904277 ideals in 7 passes Tue Mar 10 14:00:38 2026 max relations containing the same ideal: 89 Tue Mar 10 14:00:53 2026 removing 7493978 relations and 5493978 ideals in 2000000 cliques Tue Mar 10 14:00:55 2026 commencing in-memory singleton removal Tue Mar 10 14:00:56 2026 begin with 73376299 relations and 73904277 unique ideals Tue Mar 10 14:01:00 2026 reduce to 72831067 relations and 67853464 ideals in 7 passes Tue Mar 10 14:01:00 2026 max relations containing the same ideal: 83 Tue Mar 10 14:01:14 2026 removing 7618716 relations and 5618716 ideals in 2000000 cliques Tue Mar 10 14:01:16 2026 commencing in-memory singleton removal Tue Mar 10 14:01:16 2026 begin with 65212351 relations and 67853464 unique ideals Tue Mar 10 14:01:20 2026 reduce to 64580317 relations and 61588014 ideals in 8 passes Tue Mar 10 14:01:20 2026 max relations containing the same ideal: 74 Tue Mar 10 14:01:33 2026 removing 5034092 relations and 3877195 ideals in 1156897 cliques Tue Mar 10 14:01:34 2026 commencing in-memory singleton removal Tue Mar 10 14:01:35 2026 begin with 59546225 relations and 61588014 unique ideals Tue Mar 10 14:01:38 2026 reduce to 59248233 relations and 57408281 ideals in 8 passes Tue Mar 10 14:01:38 2026 max relations containing the same ideal: 72 Tue Mar 10 14:01:54 2026 relations with 0 large ideals: 56145 Tue Mar 10 14:01:54 2026 relations with 1 large ideals: 31167 Tue Mar 10 14:01:54 2026 relations with 2 large ideals: 418580 Tue Mar 10 14:01:54 2026 relations with 3 large ideals: 2444369 Tue Mar 10 14:01:54 2026 relations with 4 large ideals: 7653694 Tue Mar 10 14:01:54 2026 relations with 5 large ideals: 14120673 Tue Mar 10 14:01:54 2026 relations with 6 large ideals: 15994068 Tue Mar 10 14:01:54 2026 relations with 7+ large ideals: 18529537 Tue Mar 10 14:01:54 2026 commencing 2-way merge Tue Mar 10 14:02:12 2026 reduce to 37237752 relation sets and 35397800 unique ideals Tue Mar 10 14:02:12 2026 commencing full merge Tue Mar 10 14:10:09 2026 memory use: 4631.8 MB Tue Mar 10 14:10:11 2026 found 16666506 cycles, need 16550000 Tue Mar 10 14:10:14 2026 weight of 16550000 cycles is about 1986390352 (120.02/cycle) Tue Mar 10 14:10:14 2026 distribution of cycle lengths: Tue Mar 10 14:10:14 2026 1 relations: 982333 Tue Mar 10 14:10:14 2026 2 relations: 1106175 Tue Mar 10 14:10:14 2026 3 relations: 1167950 Tue Mar 10 14:10:14 2026 4 relations: 1159142 Tue Mar 10 14:10:14 2026 5 relations: 1164723 Tue Mar 10 14:10:14 2026 6 relations: 1135851 Tue Mar 10 14:10:14 2026 7 relations: 1113323 Tue Mar 10 14:10:14 2026 8 relations: 1068115 Tue Mar 10 14:10:14 2026 9 relations: 1015374 Tue Mar 10 14:10:14 2026 10+ relations: 6637014 Tue Mar 10 14:10:14 2026 heaviest cycle: 28 relations Tue Mar 10 14:10:18 2026 commencing cycle optimization Tue Mar 10 14:10:40 2026 start with 145532958 relations Tue Mar 10 14:13:34 2026 pruned 6112017 relations Tue Mar 10 14:13:34 2026 memory use: 3921.4 MB Tue Mar 10 14:13:34 2026 distribution of cycle lengths: Tue Mar 10 14:13:34 2026 1 relations: 982333 Tue Mar 10 14:13:34 2026 2 relations: 1131111 Tue Mar 10 14:13:34 2026 3 relations: 1213495 Tue Mar 10 14:13:34 2026 4 relations: 1203374 Tue Mar 10 14:13:34 2026 5 relations: 1216276 Tue Mar 10 14:13:34 2026 6 relations: 1184806 Tue Mar 10 14:13:34 2026 7 relations: 1165454 Tue Mar 10 14:13:34 2026 8 relations: 1114986 Tue Mar 10 14:13:34 2026 9 relations: 1058924 Tue Mar 10 14:13:34 2026 10+ relations: 6279241 Tue Mar 10 14:13:34 2026 heaviest cycle: 28 relations Tue Mar 10 14:13:51 2026 RelProcTime: 2256 Tue Mar 10 14:13:51 2026 elapsed time 00:37:37 Tue Mar 10 14:39:38 2026 Tue Mar 10 14:39:38 2026 Tue Mar 10 14:39:38 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Mar 10 14:39:38 2026 random seeds: b821824a 89060832 Tue Mar 10 14:39:38 2026 MPI process 0 of 2 Tue Mar 10 14:39:38 2026 Using 8 OpenMP threads Tue Mar 10 14:39:38 2026 factoring 11554387407323424074206062794667810695964457824177899112257170878249000561109781656812152819064676377715109596493180569954962251596360508085967790895429274333836626109104684185604283490857608893655267557394492997880650621416918653277 (233 digits) Tue Mar 10 14:39:39 2026 no P-1/P+1/ECM available, skipping Tue Mar 10 14:39:39 2026 commencing number field sieve (233-digit input) Tue Mar 10 14:39:39 2026 R0: 92179817329823071073537485553753352853314169 Tue Mar 10 14:39:39 2026 R1: -1 Tue Mar 10 14:39:39 2026 A0: -277 Tue Mar 10 14:39:39 2026 A1: 0 Tue Mar 10 14:39:39 2026 A2: 0 Tue Mar 10 14:39:39 2026 A3: 0 Tue Mar 10 14:39:39 2026 A4: 0 Tue Mar 10 14:39:39 2026 A5: 0 Tue Mar 10 14:39:39 2026 A6: 1 Tue Mar 10 14:39:39 2026 skew 3.31, size 4.724e-13, alpha 0.938, combined = 6.656e-14 rroots = 2 Tue Mar 10 14:39:39 2026 Tue Mar 10 14:39:39 2026 commencing linear algebra Tue Mar 10 14:39:39 2026 using VBITS=256 Tue Mar 10 14:39:39 2026 initialized process (0,0) of 1 x 2 grid Tue Mar 10 14:39:40 2026 read 16550000 cycles Tue Mar 10 14:40:01 2026 cycles contain 58128265 unique relations Tue Mar 10 14:40:32 2026 read 58128265 relations Tue Mar 10 14:40:43 2026 using 20 quadratic characters above 4294917295 Tue Mar 10 14:41:00 2026 building initial matrix Tue Mar 10 14:47:07 2026 memory use: 7401.3 MB Tue Mar 10 14:47:14 2026 read 16550000 cycles Tue Mar 10 14:47:16 2026 matrix is 16549822 x 16550000 (7796.6 MB) with weight 2256094218 (136.32/col) Tue Mar 10 14:47:16 2026 sparse part has weight 1861793988 (112.50/col) Tue Mar 10 14:48:51 2026 filtering completed in 2 passes Tue Mar 10 14:48:53 2026 matrix is 16548898 x 16549069 (7796.6 MB) with weight 2256056926 (136.33/col) Tue Mar 10 14:48:53 2026 sparse part has weight 1861779204 (112.50/col) Tue Mar 10 14:49:17 2026 matrix starts at (0, 0) Tue Mar 10 14:49:17 2026 matrix is 16548898 x 8274560 (3898.3 MB) with weight 1128023325 (136.32/col) Tue Mar 10 14:49:17 2026 sparse part has weight 930889741 (112.50/col) Tue Mar 10 14:49:17 2026 saving the first 240 matrix rows for later Tue Mar 10 14:49:18 2026 matrix includes 256 packed rows Tue Mar 10 14:49:21 2026 matrix is 16548658 x 8274560 (3621.9 MB) with weight 859892616 (103.92/col) Tue Mar 10 14:49:21 2026 sparse part has weight 817054121 (98.74/col) Tue Mar 10 14:49:21 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Tue Mar 10 14:49:21 2026 selected card has CUDA arch 8.6 Tue Mar 10 14:49:49 2026 commencing Lanczos iteration Tue Mar 10 14:49:50 2026 memory use: 9106.0 MB Tue Mar 10 14:50:26 2026 linear algebra at 0.2%, ETA 5h14m Tue Mar 10 14:51:19 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions Tue Mar 10 20:04:50 2026 lanczos halted after 64837 iterations (dim = 16548656) Tue Mar 10 20:06:01 2026 recovered 36 nontrivial dependencies Tue Mar 10 20:06:02 2026 BLanczosTime: 19583 Tue Mar 10 20:06:02 2026 elapsed time 05:26:24 Tue Mar 10 20:27:50 2026 Tue Mar 10 20:27:50 2026 Tue Mar 10 20:27:50 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Mar 10 20:27:50 2026 random seeds: d21b8f0f ea179cfa Tue Mar 10 20:27:50 2026 Using 32 OpenMP threads Tue Mar 10 20:27:50 2026 factoring 11554387407323424074206062794667810695964457824177899112257170878249000561109781656812152819064676377715109596493180569954962251596360508085967790895429274333836626109104684185604283490857608893655267557394492997880650621416918653277 (233 digits) Tue Mar 10 20:27:51 2026 no P-1/P+1/ECM available, skipping Tue Mar 10 20:27:51 2026 commencing number field sieve (233-digit input) Tue Mar 10 20:27:51 2026 R0: 92179817329823071073537485553753352853314169 Tue Mar 10 20:27:51 2026 R1: -1 Tue Mar 10 20:27:51 2026 A0: -277 Tue Mar 10 20:27:51 2026 A1: 0 Tue Mar 10 20:27:51 2026 A2: 0 Tue Mar 10 20:27:51 2026 A3: 0 Tue Mar 10 20:27:51 2026 A4: 0 Tue Mar 10 20:27:51 2026 A5: 0 Tue Mar 10 20:27:51 2026 A6: 1 Tue Mar 10 20:27:51 2026 skew 3.31, size 4.724e-13, alpha 0.938, combined = 6.656e-14 rroots = 2 Tue Mar 10 20:27:51 2026 Tue Mar 10 20:27:51 2026 commencing square root phase Tue Mar 10 20:27:51 2026 reading relations for dependency 1 Tue Mar 10 20:27:53 2026 read 8270608 cycles Tue Mar 10 20:28:10 2026 cycles contain 29054170 unique relations Tue Mar 10 20:28:51 2026 read 29054170 relations Tue Mar 10 20:29:58 2026 multiplying 29054170 relations Tue Mar 10 20:31:16 2026 multiply complete, coefficients have about 775.80 million bits Tue Mar 10 20:31:17 2026 initial square root is modulo 9121621 Tue Mar 10 20:34:08 2026 sqrtTime: 377 Tue Mar 10 20:34:08 2026 p91 factor: 2241912293715155631437404706950986558723127511979338388465073085320116229265935531197166073 Tue Mar 10 20:34:08 2026 p142 factor: 5153808844223884478208465641431932134541516734654537271687489868245056207005771171024480387247622279334133166015726996047300258683087502850949 Tue Mar 10 20:34:08 2026 elapsed time 00:06:18