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Oct 11th, 2026
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  1. Sat Oct 10 19:45:37 2026 Msieve v. 1.54 (SVN Unversioned directory)
  2. Sat Oct 10 19:45:37 2026 random seeds: 95375f83 626d3aa3
  3. Sat Oct 10 19:45:37 2026 Using 4 OpenMP threads
  4. Sat Oct 10 19:45:37 2026 factoring 177920235416112310422725194942675459613467616968301748790682796425268347797492341543152585845259737988081423374367070888294487390311433949899285778592509711612087445263 (168 digits)
  5. Sat Oct 10 19:45:38 2026 no P-1/P+1/ECM available, skipping
  6. Sat Oct 10 19:45:38 2026 commencing number field sieve (168-digit input)
  7. Sat Oct 10 19:45:38 2026 R0: -371335662418994823449273167827159
  8. Sat Oct 10 19:45:38 2026 R1: 320091545103758340847
  9. Sat Oct 10 19:45:38 2026 A0: -968289539312805756506805139709991806840
  10. Sat Oct 10 19:45:38 2026 A1: 491325420140660630918392929409726
  11. Sat Oct 10 19:45:38 2026 A2: 66358614297952235142731771
  12. Sat Oct 10 19:45:38 2026 A3: -24655079433828658603
  13. Sat Oct 10 19:45:38 2026 A4: -1143876400764
  14. Sat Oct 10 19:45:38 2026 A5: 50400
  15. Sat Oct 10 19:45:38 2026 skew 9221761.92, size 4.631e-16, alpha -6.901, combined = 7.521e-13 rroots = 5
  16. Sat Oct 10 19:45:38 2026
  17. Sat Oct 10 19:45:38 2026 commencing relation filtering
  18. Sat Oct 10 19:45:38 2026 setting target matrix density to 100.0
  19. Sat Oct 10 19:45:38 2026 estimated available RAM is 31874.3 MB
  20. Sat Oct 10 19:45:38 2026 commencing duplicate removal, pass 1
  21. Sat Oct 10 19:45:54 2026 error -1 reading relation 1911848
  22. Sat Oct 10 19:46:10 2026 error -11 reading relation 3796891
  23. Sat Oct 10 19:46:20 2026 error -1 reading relation 5015655
  24. Sat Oct 10 19:46:20 2026 error -1 reading relation 5054594
  25. Sat Oct 10 19:46:39 2026 error -1 reading relation 7259954
  26. Sat Oct 10 19:46:45 2026 error -1 reading relation 7988437
  27. Sat Oct 10 19:46:48 2026 error -1 reading relation 8377680
  28. Sat Oct 10 19:46:50 2026 error -1 reading relation 8584418
  29. Sat Oct 10 19:46:52 2026 error -1 reading relation 8832355
  30. Sat Oct 10 19:47:13 2026 error -1 reading relation 11410473
  31. Sat Oct 10 19:47:44 2026 error -1 reading relation 14886216
  32. Sat Oct 10 19:48:15 2026 error -1 reading relation 18191234
  33. Sat Oct 10 19:48:38 2026 error -1 reading relation 20517988
  34. Sat Oct 10 19:48:38 2026 error -1 reading relation 20517989
  35. Sat Oct 10 19:49:33 2026 error -1 reading relation 26426167
  36. Sat Oct 10 19:49:33 2026 error -1 reading relation 26487783
  37. Sat Oct 10 19:49:41 2026 error -1 reading relation 27421188
  38. Sat Oct 10 19:50:05 2026 error -1 reading relation 30145415
  39. Sat Oct 10 19:50:08 2026 error -1 reading relation 30363724
  40. Sat Oct 10 19:50:33 2026 error -1 reading relation 32995974
  41. Sat Oct 10 19:50:34 2026 error -1 reading relation 33116213
  42. Sat Oct 10 19:50:47 2026 error -1 reading relation 34438371
  43. Sat Oct 10 19:50:47 2026 error -1 reading relation 34438372
  44. Sat Oct 10 19:51:22 2026 error -1 reading relation 38069880
  45. Sat Oct 10 19:51:24 2026 error -1 reading relation 38250543
  46. Sat Oct 10 19:51:43 2026 error -1 reading relation 40162944
  47. Sat Oct 10 19:51:53 2026 error -1 reading relation 41298259
  48. Sat Oct 10 19:52:13 2026 error -1 reading relation 43505609
  49. Sat Oct 10 19:52:56 2026 error -1 reading relation 48135468
  50. Sat Oct 10 19:52:59 2026 error -1 reading relation 48419020
  51. Sat Oct 10 19:52:59 2026 error -1 reading relation 48419021
  52. Sat Oct 10 19:54:14 2026 error -1 reading relation 56703211
  53. Sat Oct 10 19:54:42 2026 error -1 reading relation 59851906
  54. Sat Oct 10 19:55:21 2026 error -1 reading relation 63999562
  55. Sat Oct 10 19:55:23 2026 error -1 reading relation 64197010
  56. Sat Oct 10 19:56:02 2026 error -15 reading relation 68182195
  57. Sat Oct 10 19:56:28 2026 error -1 reading relation 70759154
  58. Sat Oct 10 19:56:38 2026 error -1 reading relation 71902538
  59. Sat Oct 10 19:57:19 2026 error -1 reading relation 76339586
  60. Sat Oct 10 19:57:26 2026 error -1 reading relation 77111769
  61. Sat Oct 10 19:57:47 2026 error -1 reading relation 79281622
  62. Sat Oct 10 19:57:49 2026 error -1 reading relation 79471953
  63. Sat Oct 10 19:57:59 2026 error -1 reading relation 80637037
  64. Sat Oct 10 19:57:59 2026 error -1 reading relation 80637038
  65. Sat Oct 10 19:57:59 2026 error -1 reading relation 80637039
  66. Sat Oct 10 19:58:08 2026 error -1 reading relation 81605170
  67. Sat Oct 10 19:59:05 2026 error -1 reading relation 87816131
  68. Sat Oct 10 19:59:05 2026 error -1 reading relation 87816132
  69. Sat Oct 10 19:59:21 2026 error -1 reading relation 89443563
  70. Sat Oct 10 19:59:57 2026 error -1 reading relation 93775680
  71. Sat Oct 10 20:00:05 2026 error -1 reading relation 94702747
  72. Sat Oct 10 20:00:49 2026 error -1 reading relation 99471457
  73. Sat Oct 10 20:01:28 2026 error -1 reading relation 103896239
  74. Sat Oct 10 20:02:19 2026 error -1 reading relation 109678009
  75. Sat Oct 10 20:02:19 2026 error -1 reading relation 109678010
  76. Sat Oct 10 20:03:42 2026 error -1 reading relation 119164490
  77. Sat Oct 10 20:04:26 2026 error -1 reading relation 124203876
  78. Sat Oct 10 20:04:28 2026 error -1 reading relation 124455105
  79. Sat Oct 10 20:04:35 2026 error -1 reading relation 125239041
  80. Sat Oct 10 20:05:02 2026 error -11 reading relation 128244085
  81. Sat Oct 10 20:05:31 2026 error -1 reading relation 131469014
  82. Sat Oct 10 20:05:51 2026 error -1 reading relation 133846343
  83. Sat Oct 10 20:06:02 2026 error -1 reading relation 135085965
  84. Sat Oct 10 20:06:12 2026 skipped 9 malformed relations
  85. Sat Oct 10 20:06:12 2026 found 7951753 hash collisions in 136182473 relations
  86. Sat Oct 10 20:06:12 2026 cached 136182545 relation coordinates for pass 2 (2206.0 MB)
  87. Sat Oct 10 20:06:46 2026 added 121837 free relations
  88. Sat Oct 10 20:06:46 2026 commencing duplicate removal, pass 2
  89. Sat Oct 10 20:07:22 2026 found 0 duplicates and 136304310 unique relations
  90. Sat Oct 10 20:07:22 2026 memory use: 768.0 MB
  91. Sat Oct 10 20:07:22 2026 reading ideals above 720000
  92. Sat Oct 10 20:07:22 2026 commencing singleton removal, initial pass
  93. Sat Oct 10 20:32:13 2026 LP64 contains 136304310 relations and 127002448 unique large ideals
  94. Sat Oct 10 20:32:13 2026 memory use: 4488.0 MB
  95. Sat Oct 10 20:32:13 2026 preparing 64-bit LP file for common filtering
  96. Sat Oct 10 20:32:13 2026 start with 136304310 relations and 127002448 ideals
  97. Sat Oct 10 20:33:02 2026 compacted LP dataset has 136304310 relations and 127002448 large ideals
  98. Sat Oct 10 20:33:02 2026 reading all ideals from disk
  99. Sat Oct 10 20:33:43 2026 memory use: 6291.9 MB
  100. Sat Oct 10 20:34:30 2026 keeping 126433557 ideals with weight <= 200, target excess is 684744
  101. Sat Oct 10 20:35:05 2026 commencing in-memory singleton removal
  102. Sat Oct 10 20:35:37 2026 begin with 136304310 relations and 126433557 unique ideals
  103. Sat Oct 10 20:35:37 2026 memory use: 980.6 MB
  104. Sat Oct 10 20:36:04 2026 reduce to 85305177 relations and 70245850 ideals in 4 passes
  105. Sat Oct 10 20:36:04 2026 max relations containing the same ideal: 153
  106. Sat Oct 10 20:37:23 2026 removing 9501236 relations and 7501236 ideals in 2000000 cliques
  107. Sat Oct 10 20:37:26 2026 commencing in-memory singleton removal
  108. Sat Oct 10 20:37:41 2026 begin with 75803941 relations and 70245850 unique ideals
  109. Sat Oct 10 20:37:41 2026 memory use: 551.9 MB
  110. Sat Oct 10 20:37:46 2026 reduce to 74988617 relations and 61906127 ideals in 1 passes
  111. Sat Oct 10 20:37:46 2026 max relations containing the same ideal: 145
  112. Sat Oct 10 20:38:50 2026 removing 7506329 relations and 5506329 ideals in 2000000 cliques
  113. Sat Oct 10 20:38:51 2026 commencing in-memory singleton removal
  114. Sat Oct 10 20:39:02 2026 begin with 67482288 relations and 61906127 unique ideals
  115. Sat Oct 10 20:39:02 2026 memory use: 488.3 MB
  116. Sat Oct 10 20:39:06 2026 reduce to 66883673 relations and 55785628 ideals in 1 passes
  117. Sat Oct 10 20:39:06 2026 max relations containing the same ideal: 131
  118. Sat Oct 10 20:40:05 2026 removing 6974360 relations and 4974360 ideals in 2000000 cliques
  119. Sat Oct 10 20:40:07 2026 commencing in-memory singleton removal
  120. Sat Oct 10 20:40:17 2026 begin with 59909313 relations and 55785628 unique ideals
  121. Sat Oct 10 20:40:17 2026 memory use: 441.6 MB
  122. Sat Oct 10 20:40:21 2026 reduce to 59337396 relations and 50223528 ideals in 1 passes
  123. Sat Oct 10 20:40:21 2026 max relations containing the same ideal: 124
  124. Sat Oct 10 20:41:11 2026 removing 6749380 relations and 4749380 ideals in 2000000 cliques
  125. Sat Oct 10 20:41:13 2026 commencing in-memory singleton removal
  126. Sat Oct 10 20:41:21 2026 begin with 52588016 relations and 50223528 unique ideals
  127. Sat Oct 10 20:41:21 2026 memory use: 399.2 MB
  128. Sat Oct 10 20:41:24 2026 reduce to 51999756 relations and 44868020 ideals in 1 passes
  129. Sat Oct 10 20:41:24 2026 max relations containing the same ideal: 113
  130. Sat Oct 10 20:42:10 2026 removing 6648089 relations and 4648089 ideals in 2000000 cliques
  131. Sat Oct 10 20:42:12 2026 commencing in-memory singleton removal
  132. Sat Oct 10 20:42:20 2026 begin with 45351667 relations and 44868020 unique ideals
  133. Sat Oct 10 20:42:20 2026 memory use: 358.3 MB
  134. Sat Oct 10 20:42:23 2026 reduce to 44708860 relations and 39555263 ideals in 1 passes
  135. Sat Oct 10 20:42:23 2026 max relations containing the same ideal: 100
  136. Sat Oct 10 20:43:02 2026 removing 6624439 relations and 4624439 ideals in 2000000 cliques
  137. Sat Oct 10 20:43:04 2026 commencing in-memory singleton removal
  138. Sat Oct 10 20:43:11 2026 begin with 38084421 relations and 39555263 unique ideals
  139. Sat Oct 10 20:43:11 2026 memory use: 317.8 MB
  140. Sat Oct 10 20:43:14 2026 reduce to 37349576 relations and 34167190 ideals in 1 passes
  141. Sat Oct 10 20:43:14 2026 max relations containing the same ideal: 88
  142. Sat Oct 10 20:43:45 2026 removing 6656244 relations and 4656244 ideals in 2000000 cliques
  143. Sat Oct 10 20:43:47 2026 commencing in-memory singleton removal
  144. Sat Oct 10 20:43:52 2026 begin with 30693332 relations and 34167190 unique ideals
  145. Sat Oct 10 20:43:52 2026 memory use: 276.7 MB
  146. Sat Oct 10 20:43:56 2026 reduce to 29808934 relations and 28584682 ideals in 2 passes
  147. Sat Oct 10 20:43:56 2026 max relations containing the same ideal: 77
  148. Sat Oct 10 20:44:23 2026 removing 2025836 relations and 1595888 ideals in 429948 cliques
  149. Sat Oct 10 20:44:24 2026 commencing in-memory singleton removal
  150. Sat Oct 10 20:44:28 2026 begin with 27783098 relations and 28584682 unique ideals
  151. Sat Oct 10 20:44:28 2026 memory use: 234.1 MB
  152. Sat Oct 10 20:44:30 2026 reduce to 27687516 relations and 26891997 ideals in 1 passes
  153. Sat Oct 10 20:44:30 2026 max relations containing the same ideal: 75
  154. Sat Oct 10 20:44:59 2026 relations with 0 large ideals: 2610
  155. Sat Oct 10 20:44:59 2026 relations with 1 large ideals: 11282
  156. Sat Oct 10 20:44:59 2026 relations with 2 large ideals: 163063
  157. Sat Oct 10 20:44:59 2026 relations with 3 large ideals: 1007274
  158. Sat Oct 10 20:44:59 2026 relations with 4 large ideals: 3311353
  159. Sat Oct 10 20:44:59 2026 relations with 5 large ideals: 6415642
  160. Sat Oct 10 20:44:59 2026 relations with 6 large ideals: 7695647
  161. Sat Oct 10 20:44:59 2026 relations with 7+ large ideals: 9080645
  162. Sat Oct 10 20:44:59 2026 commencing 2-way merge
  163. Sat Oct 10 20:45:33 2026 reduce to 17805577 relation sets and 17010057 unique ideals
  164. Sat Oct 10 20:45:33 2026 commencing full merge
  165. Sat Oct 10 20:58:14 2026 memory use: 2235.5 MB
  166. Sat Oct 10 20:58:15 2026 found 8527845 cycles, need 8430257
  167. Sat Oct 10 20:58:17 2026 weight of 8430257 cycles is about 843563224 (100.06/cycle)
  168. Sat Oct 10 20:58:17 2026 distribution of cycle lengths:
  169. Sat Oct 10 20:58:17 2026 1 relations: 514459
  170. Sat Oct 10 20:58:17 2026 2 relations: 684408
  171. Sat Oct 10 20:58:17 2026 3 relations: 752628
  172. Sat Oct 10 20:58:17 2026 4 relations: 740078
  173. Sat Oct 10 20:58:17 2026 5 relations: 727072
  174. Sat Oct 10 20:58:17 2026 6 relations: 702236
  175. Sat Oct 10 20:58:17 2026 7 relations: 664316
  176. Sat Oct 10 20:58:17 2026 8 relations: 613922
  177. Sat Oct 10 20:58:17 2026 9 relations: 552684
  178. Sat Oct 10 20:58:17 2026 10+ relations: 2478454
  179. Sat Oct 10 20:58:17 2026 heaviest cycle: 24 relations
  180. Sat Oct 10 20:58:18 2026 commencing cycle optimization
  181. Sat Oct 10 20:58:48 2026 start with 62104031 relations
  182. Sat Oct 10 21:02:45 2026 pruned 2416132 relations
  183. Sat Oct 10 21:02:45 2026 memory use: 1866.6 MB
  184. Sat Oct 10 21:02:45 2026 distribution of cycle lengths:
  185. Sat Oct 10 21:02:45 2026 1 relations: 514459
  186. Sat Oct 10 21:02:45 2026 2 relations: 702680
  187. Sat Oct 10 21:02:45 2026 3 relations: 785789
  188. Sat Oct 10 21:02:45 2026 4 relations: 768370
  189. Sat Oct 10 21:02:45 2026 5 relations: 760130
  190. Sat Oct 10 21:02:45 2026 6 relations: 731846
  191. Sat Oct 10 21:02:45 2026 7 relations: 691497
  192. Sat Oct 10 21:02:45 2026 8 relations: 633698
  193. Sat Oct 10 21:02:45 2026 9 relations: 566382
  194. Sat Oct 10 21:02:45 2026 10+ relations: 2275406
  195. Sat Oct 10 21:02:45 2026 heaviest cycle: 24 relations
  196. Sat Oct 10 21:02:50 2026 RelProcTime: 4632
  197. Sat Oct 10 21:02:50 2026
  198. Sat Oct 10 21:02:50 2026 commencing linear algebra
  199. Sat Oct 10 21:02:50 2026 using VBITS=128
  200. Sat Oct 10 21:02:51 2026 read 8430257 cycles
  201. Sat Oct 10 21:03:15 2026 cycles contain 27236240 unique relations
  202. Sat Oct 10 21:08:12 2026 read 27236240 relations
  203. Sat Oct 10 21:09:26 2026 using 20 quadratic characters above 4294917295
  204. Sat Oct 10 21:10:20 2026 building initial matrix
  205. Sat Oct 10 21:13:38 2026 memory use: 3690.6 MB
  206. Sat Oct 10 21:14:02 2026 read 8430257 cycles
  207. Sat Oct 10 21:14:04 2026 matrix is 8430080 x 8430257 (3386.7 MB) with weight 1041569979 (123.55/col)
  208. Sat Oct 10 21:14:04 2026 sparse part has weight 795072103 (94.31/col)
  209. Sat Oct 10 21:15:39 2026 filtering completed in 2 passes
  210. Sat Oct 10 21:15:43 2026 matrix is 8429330 x 8429507 (3386.6 MB) with weight 1041534652 (123.56/col)
  211. Sat Oct 10 21:15:43 2026 sparse part has weight 795059601 (94.32/col)
  212. Sat Oct 10 21:16:14 2026 matrix starts at (0, 0)
  213. Sat Oct 10 21:16:15 2026 matrix is 8429330 x 8429507 (3386.6 MB) with weight 1041534652 (123.56/col)
  214. Sat Oct 10 21:16:15 2026 sparse part has weight 795059601 (94.32/col)
  215. Sat Oct 10 21:16:15 2026 saving the first 112 matrix rows for later
  216. Sat Oct 10 21:16:17 2026 matrix includes 128 packed rows
  217. Sat Oct 10 21:16:20 2026 matrix is 8429218 x 8429507 (3152.1 MB) with weight 779272164 (92.45/col)
  218. Sat Oct 10 21:16:20 2026 sparse part has weight 725154054 (86.03/col)
  219. Sat Oct 10 21:16:21 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  220. Sat Oct 10 21:16:21 2026 selected card has CUDA arch 8.6
  221. Sat Oct 10 21:16:22 2026 storing a single copy of the matrix (no transpose) on the GPU
  222. Sat Oct 10 21:16:22 2026 computed block_nnz 16858436 (L2 cache 5242880 bytes, average column weight 86.0)
  223. Sat Oct 10 21:16:22 2026 note: single_copy's L2-sized blocks are smaller than its row pointer floor; expect it to be slower than two copies, only saving GPU memory
  224. Sat Oct 10 21:16:22 2026 nonzeros per matrix block: 16858436
  225. Sat Oct 10 21:16:22 2026 SpMV kernel: auto (by nonzeros per row)
  226. Sat Oct 10 21:16:22 2026 SpMV kernel auto: segscan for 44 of 44 blocks (below 28 nonzeros per row), warpmerge for 0
  227. Sat Oct 10 21:16:22 2026 GPU memory: 9069 MB free, 900 MB for vectors, 8040 MB for sparse matrix blocks (4269 MB needed)
  228. Sat Oct 10 21:17:32 2026 commencing Lanczos iteration
  229. Sat Oct 10 21:17:41 2026 memory use: 5210.1 MB
  230. Sat Oct 10 21:18:34 2026 linear algebra at 0.4%, ETA 3h44m
  231. Sat Oct 10 21:18:47 2026 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  232. Sun Oct 11 01:16:01 2026 lanczos halted after 66251 iterations (dim = 8429218)
  233. Sun Oct 11 01:16:24 2026 recovered 31 nontrivial dependencies
  234. Sun Oct 11 01:16:24 2026 BLanczosTime: 15214
  235. Sun Oct 11 01:16:24 2026
  236. Sun Oct 11 01:16:24 2026 commencing square root phase
  237. Sun Oct 11 01:16:24 2026 handling dependencies 1 to 64
  238. Sun Oct 11 01:16:24 2026 reading relations for dependency 1
  239. Sun Oct 11 01:16:28 2026 read 4214441 cycles
  240. Sun Oct 11 01:16:40 2026 cycles contain 13618038 unique relations
  241. Sun Oct 11 01:21:20 2026 read 13618038 relations
  242. Sun Oct 11 01:24:40 2026 multiplying 13618038 relations
  243. Sun Oct 11 01:28:25 2026 multiply complete, coefficients have about 721.47 million bits
  244. Sun Oct 11 01:28:28 2026 initial square root is modulo 2969779
  245. Sun Oct 11 01:36:51 2026 GCD is 1, no factor found
  246. Sun Oct 11 01:36:51 2026 reading relations for dependency 2
  247. Sun Oct 11 01:36:55 2026 read 4215293 cycles
  248. Sun Oct 11 01:37:05 2026 cycles contain 13618024 unique relations
  249. Sun Oct 11 01:42:14 2026 read 13618024 relations
  250. Sun Oct 11 01:46:23 2026 multiplying 13618024 relations
  251. Sun Oct 11 01:50:07 2026 multiply complete, coefficients have about 721.47 million bits
  252. Sun Oct 11 01:50:11 2026 initial square root is modulo 2969627
  253. Sun Oct 11 01:58:28 2026 sqrtTime: 2524
  254. Sun Oct 11 01:58:28 2026 p67 factor: 8915364936274061581906518781796863678157358164160044434610051881799
  255. Sun Oct 11 01:58:28 2026 p101 factor: 19956584692591318199340864362093030330849386616787122785497406793922426485350078844952067151014521337
  256. Sun Oct 11 01:58:28 2026 elapsed time 06:12:51
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