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kyleaskine
Aug 6th, 2026
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  1. Wed Aug 5 22:09:44 2026
  2. Wed Aug 5 22:09:44 2026
  3. Wed Aug 5 22:09:44 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Aug 5 22:09:44 2026 random seeds: 5cf37a58 00673306
  5. Wed Aug 5 22:09:44 2026 Using 14 OpenMP threads
  6. Wed Aug 5 22:09:44 2026 factoring 28035502796399069758506992296520448213470399925544330647148859754602672366379006772028091598946115273084348315370457130477179971058921836466240811546558182106371622482965451971 (176 digits)
  7. Wed Aug 5 22:09:45 2026 no P-1/P+1/ECM available, skipping
  8. Wed Aug 5 22:09:45 2026 commencing number field sieve (176-digit input)
  9. Wed Aug 5 22:09:45 2026 R0: -11100841037382599927149852149354370
  10. Wed Aug 5 22:09:45 2026 R1: 19485271131605216313647
  11. Wed Aug 5 22:09:45 2026 A0: 28561683854679472068186675916259260415878536
  12. Wed Aug 5 22:09:45 2026 A1: 859223241568664300726182673378006807
  13. Wed Aug 5 22:09:45 2026 A2: -36172516945234663753479146278
  14. Wed Aug 5 22:09:45 2026 A3: -1076597409591274800883
  15. Wed Aug 5 22:09:45 2026 A4: -6781272539694
  16. Wed Aug 5 22:09:45 2026 A5: 332640
  17. Wed Aug 5 22:09:45 2026 skew 40056557.29, size 4.974e-17, alpha -8.604, combined = 1.917e-13 rroots = 3
  18. Wed Aug 5 22:09:45 2026
  19. Wed Aug 5 22:09:45 2026 commencing relation filtering
  20. Wed Aug 5 22:09:45 2026 setting 5 target densities:Wed Aug 5 22:09:45 2026 70Wed Aug 5 22:09:45 2026 90Wed Aug 5 22:09:45 2026 110Wed Aug 5 22:09:45 2026 130Wed Aug 5 22:09:45 2026 140Wed Aug 5 22:09:45 2026
  21. Wed Aug 5 22:09:45 2026 estimated available RAM is 78540.1 MB
  22. Wed Aug 5 22:09:45 2026 commencing duplicate removal, pass 1
  23. Wed Aug 5 22:10:06 2026 error -1 reading relation 17272530
  24. Wed Aug 5 22:10:14 2026 error -1 reading relation 22923376
  25. Wed Aug 5 22:10:36 2026 error -1 reading relation 44124360
  26. Wed Aug 5 22:10:38 2026 error -1 reading relation 46482242
  27. Wed Aug 5 22:10:41 2026 error -1 reading relation 51279088
  28. Wed Aug 5 22:10:42 2026 error -1 reading relation 52686112
  29. Wed Aug 5 22:10:42 2026 error -1 reading relation 52715732
  30. Wed Aug 5 22:10:44 2026 error -1 reading relation 54836909
  31. Wed Aug 5 22:11:19 2026 error -1 reading relation 76874109
  32. Wed Aug 5 22:11:22 2026 error -1 reading relation 80292734
  33. Wed Aug 5 22:11:33 2026 error -1 reading relation 85477527
  34. Wed Aug 5 22:11:49 2026 error -1 reading relation 94661014
  35. Wed Aug 5 22:12:17 2026 error -1 reading relation 112897552
  36. Wed Aug 5 22:13:17 2026 error -1 reading relation 152317000
  37. Wed Aug 5 22:13:47 2026 error -1 reading relation 170542485
  38. Wed Aug 5 22:13:50 2026 error -1 reading relation 173597789
  39. Wed Aug 5 22:14:03 2026 error -1 reading relation 181719572
  40. Wed Aug 5 22:14:16 2026 error -1 reading relation 189672530
  41. Wed Aug 5 22:14:27 2026 error -1 reading relation 197677495
  42. Wed Aug 5 22:14:33 2026 error -1 reading relation 200964889
  43. Wed Aug 5 22:14:37 2026 error -1 reading relation 203430707
  44. Wed Aug 5 22:14:37 2026 error -1 reading relation 203445019
  45. Wed Aug 5 22:14:49 2026 error -1 reading relation 211013001
  46. Wed Aug 5 22:15:06 2026 error -1 reading relation 224837390
  47. Wed Aug 5 22:15:22 2026 error -1 reading relation 240338515
  48. Wed Aug 5 22:15:30 2026 error -1 reading relation 247623276
  49. Wed Aug 5 22:15:45 2026 error -1 reading relation 260466455
  50. Wed Aug 5 22:15:45 2026 error -1 reading relation 260474726
  51. Wed Aug 5 22:15:54 2026 error -1 reading relation 271458831
  52. Wed Aug 5 22:16:01 2026 error -1 reading relation 277253825
  53. Wed Aug 5 22:16:12 2026 error -1 reading relation 288307091
  54. Wed Aug 5 22:16:14 2026 error -1 reading relation 290333348
  55. Wed Aug 5 22:16:14 2026 error -1 reading relation 290903072
  56. Wed Aug 5 22:16:16 2026 error -1 reading relation 293058233
  57. Wed Aug 5 22:16:20 2026 error -1 reading relation 298808562
  58. Wed Aug 5 22:16:29 2026 error -1 reading relation 308595904
  59. Wed Aug 5 22:16:37 2026 error -1 reading relation 317477846
  60. Wed Aug 5 22:16:43 2026 skipped 2 relations with composite factors
  61. Wed Aug 5 22:16:43 2026 skipped 335 malformed relations
  62. Wed Aug 5 22:16:43 2026 found 73045981 hash collisions in 324508410 relations
  63. Wed Aug 5 22:16:55 2026 added 122254 free relations
  64. Wed Aug 5 22:16:55 2026 commencing duplicate removal, pass 2
  65. Wed Aug 5 22:19:00 2026 found 80743009 duplicates and 243887655 unique relations
  66. Wed Aug 5 22:19:00 2026 memory use: 1705.5 MB
  67. Wed Aug 5 22:19:00 2026 reading ideals above 214892544
  68. Wed Aug 5 22:19:00 2026 commencing singleton removal, initial pass
  69. Wed Aug 5 22:23:57 2026 memory use: 6024.0 MB
  70. Wed Aug 5 22:23:57 2026 reading all ideals from disk
  71. Wed Aug 5 22:23:59 2026 memory use: 6076.9 MB
  72. Wed Aug 5 22:24:06 2026 commencing in-memory singleton removal
  73. Wed Aug 5 22:24:08 2026 begin with 243887655 relations and 217811940 unique ideals
  74. Wed Aug 5 22:24:16 2026 reduce to 136366035 relations and 97530062 ideals in 16 passes
  75. Wed Aug 5 22:24:16 2026 max relations containing the same ideal: 37
  76. Wed Aug 5 22:24:19 2026 reading ideals above 720000
  77. Wed Aug 5 22:24:19 2026 commencing singleton removal, initial pass
  78. Wed Aug 5 22:28:17 2026 memory use: 3012.0 MB
  79. Wed Aug 5 22:28:17 2026 reading all ideals from disk
  80. Wed Aug 5 22:28:18 2026 memory use: 6466.4 MB
  81. Wed Aug 5 22:28:25 2026 keeping 120539184 ideals with weight <= 200, target excess is 682206
  82. Wed Aug 5 22:28:34 2026 commencing in-memory singleton removal
  83. Wed Aug 5 22:28:35 2026 begin with 136366035 relations and 120539184 unique ideals
  84. Wed Aug 5 22:28:46 2026 reduce to 136182171 relations and 120355276 ideals in 12 passes
  85. Wed Aug 5 22:28:46 2026 max relations containing the same ideal: 200
  86. Wed Aug 5 22:29:16 2026 removing 13437316 relations and 11437316 ideals in 2000000 cliques
  87. Wed Aug 5 22:29:19 2026 commencing in-memory singleton removal
  88. Wed Aug 5 22:29:21 2026 begin with 122744855 relations and 120355276 unique ideals
  89. Wed Aug 5 22:29:28 2026 reduce to 121656535 relations and 107808646 ideals in 9 passes
  90. Wed Aug 5 22:29:28 2026 max relations containing the same ideal: 195
  91. Wed Aug 5 22:29:57 2026 removing 10290027 relations and 8290027 ideals in 2000000 cliques
  92. Wed Aug 5 22:30:00 2026 commencing in-memory singleton removal
  93. Wed Aug 5 22:30:01 2026 begin with 111366508 relations and 107808646 unique ideals
  94. Wed Aug 5 22:30:07 2026 reduce to 110626300 relations and 98765695 ideals in 9 passes
  95. Wed Aug 5 22:30:07 2026 max relations containing the same ideal: 184
  96. Wed Aug 5 22:30:33 2026 removing 9353252 relations and 7353252 ideals in 2000000 cliques
  97. Wed Aug 5 22:30:36 2026 commencing in-memory singleton removal
  98. Wed Aug 5 22:30:37 2026 begin with 101273048 relations and 98765695 unique ideals
  99. Wed Aug 5 22:30:42 2026 reduce to 100596631 relations and 90724196 ideals in 8 passes
  100. Wed Aug 5 22:30:42 2026 max relations containing the same ideal: 175
  101. Wed Aug 5 22:31:06 2026 removing 8902648 relations and 6902648 ideals in 2000000 cliques
  102. Wed Aug 5 22:31:08 2026 commencing in-memory singleton removal
  103. Wed Aug 5 22:31:09 2026 begin with 91693983 relations and 90724196 unique ideals
  104. Wed Aug 5 22:31:14 2026 reduce to 91026573 relations and 83141820 ideals in 9 passes
  105. Wed Aug 5 22:31:14 2026 max relations containing the same ideal: 163
  106. Wed Aug 5 22:31:36 2026 removing 8654534 relations and 6654534 ideals in 2000000 cliques
  107. Wed Aug 5 22:31:38 2026 commencing in-memory singleton removal
  108. Wed Aug 5 22:31:39 2026 begin with 82372039 relations and 83141820 unique ideals
  109. Wed Aug 5 22:31:43 2026 reduce to 81679397 relations and 75780926 ideals in 9 passes
  110. Wed Aug 5 22:31:43 2026 max relations containing the same ideal: 151
  111. Wed Aug 5 22:32:03 2026 removing 8519039 relations and 6519039 ideals in 2000000 cliques
  112. Wed Aug 5 22:32:05 2026 commencing in-memory singleton removal
  113. Wed Aug 5 22:32:05 2026 begin with 73160358 relations and 75780926 unique ideals
  114. Wed Aug 5 22:32:09 2026 reduce to 72414050 relations and 68499257 ideals in 8 passes
  115. Wed Aug 5 22:32:09 2026 max relations containing the same ideal: 140
  116. Wed Aug 5 22:32:27 2026 removing 8466317 relations and 6466317 ideals in 2000000 cliques
  117. Wed Aug 5 22:32:28 2026 commencing in-memory singleton removal
  118. Wed Aug 5 22:32:29 2026 begin with 63947733 relations and 68499257 unique ideals
  119. Wed Aug 5 22:32:32 2026 reduce to 63123163 relations and 61188343 ideals in 9 passes
  120. Wed Aug 5 22:32:32 2026 max relations containing the same ideal: 133
  121. Wed Aug 5 22:32:48 2026 removing 5475662 relations and 4332201 ideals in 1143461 cliques
  122. Wed Aug 5 22:32:49 2026 commencing in-memory singleton removal
  123. Wed Aug 5 22:32:50 2026 begin with 57647501 relations and 61188343 unique ideals
  124. Wed Aug 5 22:32:53 2026 reduce to 57279503 relations and 56482234 ideals in 8 passes
  125. Wed Aug 5 22:32:53 2026 max relations containing the same ideal: 125
  126. Wed Aug 5 22:33:10 2026 trying target density 70
  127. Wed Aug 5 22:33:15 2026 relations with 0 large ideals: 2524
  128. Wed Aug 5 22:33:15 2026 relations with 1 large ideals: 6084
  129. Wed Aug 5 22:33:15 2026 relations with 2 large ideals: 107164
  130. Wed Aug 5 22:33:15 2026 relations with 3 large ideals: 850041
  131. Wed Aug 5 22:33:15 2026 relations with 4 large ideals: 3658778
  132. Wed Aug 5 22:33:15 2026 relations with 5 large ideals: 9392890
  133. Wed Aug 5 22:33:15 2026 relations with 6 large ideals: 15054221
  134. Wed Aug 5 22:33:15 2026 relations with 7+ large ideals: 28207801
  135. Wed Aug 5 22:33:15 2026 commencing 2-way merge
  136. Wed Aug 5 22:33:39 2026 reduce to 35631068 relation sets and 34833799 unique ideals
  137. Wed Aug 5 22:33:39 2026 commencing full merge
  138. Wed Aug 5 22:38:44 2026 memory use: 4038.3 MB
  139. Wed Aug 5 22:38:48 2026 found 19295350 cycles, need 19181999
  140. Wed Aug 5 22:38:52 2026 weight of 19181999 cycles is about 1342789806 (70.00/cycle)
  141. Wed Aug 5 22:38:52 2026 distribution of cycle lengths:
  142. Wed Aug 5 22:38:52 2026 1 relations: 2700988
  143. Wed Aug 5 22:38:52 2026 2 relations: 2468717
  144. Wed Aug 5 22:38:52 2026 3 relations: 2399640
  145. Wed Aug 5 22:38:52 2026 4 relations: 2176124
  146. Wed Aug 5 22:38:52 2026 5 relations: 1924660
  147. Wed Aug 5 22:38:52 2026 6 relations: 1705788
  148. Wed Aug 5 22:38:52 2026 7 relations: 1457259
  149. Wed Aug 5 22:38:52 2026 8 relations: 1191798
  150. Wed Aug 5 22:38:52 2026 9 relations: 936949
  151. Wed Aug 5 22:38:52 2026 10+ relations: 2220076
  152. Wed Aug 5 22:38:52 2026 heaviest cycle: 19 relations
  153. Wed Aug 5 22:38:54 2026 commencing cycle optimization
  154. Wed Aug 5 22:39:15 2026 start with 97577554 relations
  155. Wed Aug 5 22:40:32 2026 pruned 2080977 relations
  156. Wed Aug 5 22:40:34 2026 memory use: 3343.7 MB
  157. Wed Aug 5 22:40:34 2026 distribution of cycle lengths:
  158. Wed Aug 5 22:40:34 2026 1 relations: 2700988
  159. Wed Aug 5 22:40:34 2026 2 relations: 2520573
  160. Wed Aug 5 22:40:34 2026 3 relations: 2476922
  161. Wed Aug 5 22:40:34 2026 4 relations: 2219336
  162. Wed Aug 5 22:40:34 2026 5 relations: 1966338
  163. Wed Aug 5 22:40:34 2026 6 relations: 1724179
  164. Wed Aug 5 22:40:34 2026 7 relations: 1464946
  165. Wed Aug 5 22:40:34 2026 8 relations: 1181841
  166. Wed Aug 5 22:40:34 2026 9 relations: 915625
  167. Wed Aug 5 22:40:34 2026 10+ relations: 2011251
  168. Wed Aug 5 22:40:34 2026 heaviest cycle: 19 relations
  169. Wed Aug 5 22:40:56 2026 trying target density 90
  170. Wed Aug 5 22:40:59 2026 relations with 0 large ideals: 2524
  171. Wed Aug 5 22:40:59 2026 relations with 1 large ideals: 6084
  172. Wed Aug 5 22:40:59 2026 relations with 2 large ideals: 107164
  173. Wed Aug 5 22:40:59 2026 relations with 3 large ideals: 850041
  174. Wed Aug 5 22:40:59 2026 relations with 4 large ideals: 3658778
  175. Wed Aug 5 22:40:59 2026 relations with 5 large ideals: 9392890
  176. Wed Aug 5 22:40:59 2026 relations with 6 large ideals: 15054221
  177. Wed Aug 5 22:40:59 2026 relations with 7+ large ideals: 28207801
  178. Wed Aug 5 22:40:59 2026 commencing 2-way merge
  179. Wed Aug 5 22:41:25 2026 reduce to 35631068 relation sets and 34833799 unique ideals
  180. Wed Aug 5 22:41:25 2026 commencing full merge
  181. Wed Aug 5 22:48:34 2026 memory use: 4175.0 MB
  182. Wed Aug 5 22:48:37 2026 found 17557942 cycles, need 17457999
  183. Wed Aug 5 22:48:41 2026 weight of 17457999 cycles is about 1571576487 (90.02/cycle)
  184. Wed Aug 5 22:48:41 2026 distribution of cycle lengths:
  185. Wed Aug 5 22:48:41 2026 1 relations: 1697176
  186. Wed Aug 5 22:48:41 2026 2 relations: 1768638
  187. Wed Aug 5 22:48:41 2026 3 relations: 1761197
  188. Wed Aug 5 22:48:41 2026 4 relations: 1662593
  189. Wed Aug 5 22:48:41 2026 5 relations: 1544285
  190. Wed Aug 5 22:48:41 2026 6 relations: 1439835
  191. Wed Aug 5 22:48:41 2026 7 relations: 1303252
  192. Wed Aug 5 22:48:41 2026 8 relations: 1167211
  193. Wed Aug 5 22:48:41 2026 9 relations: 1025444
  194. Wed Aug 5 22:48:41 2026 10+ relations: 4088368
  195. Wed Aug 5 22:48:41 2026 heaviest cycle: 25 relations
  196. Wed Aug 5 22:48:44 2026 commencing cycle optimization
  197. Wed Aug 5 22:49:07 2026 start with 114088453 relations
  198. Wed Aug 5 22:51:14 2026 pruned 3358906 relations
  199. Wed Aug 5 22:51:15 2026 memory use: 3529.0 MB
  200. Wed Aug 5 22:51:15 2026 distribution of cycle lengths:
  201. Wed Aug 5 22:51:15 2026 1 relations: 1697176
  202. Wed Aug 5 22:51:15 2026 2 relations: 1810175
  203. Wed Aug 5 22:51:15 2026 3 relations: 1827256
  204. Wed Aug 5 22:51:15 2026 4 relations: 1709719
  205. Wed Aug 5 22:51:15 2026 5 relations: 1594867
  206. Wed Aug 5 22:51:15 2026 6 relations: 1473646
  207. Wed Aug 5 22:51:15 2026 7 relations: 1334063
  208. Wed Aug 5 22:51:15 2026 8 relations: 1183579
  209. Wed Aug 5 22:51:15 2026 9 relations: 1033031
  210. Wed Aug 5 22:51:15 2026 10+ relations: 3794487
  211. Wed Aug 5 22:51:15 2026 heaviest cycle: 25 relations
  212. Wed Aug 5 22:51:36 2026 trying target density 110
  213. Wed Aug 5 22:51:41 2026 relations with 0 large ideals: 2524
  214. Wed Aug 5 22:51:41 2026 relations with 1 large ideals: 6084
  215. Wed Aug 5 22:51:41 2026 relations with 2 large ideals: 107164
  216. Wed Aug 5 22:51:41 2026 relations with 3 large ideals: 850041
  217. Wed Aug 5 22:51:41 2026 relations with 4 large ideals: 3658778
  218. Wed Aug 5 22:51:41 2026 relations with 5 large ideals: 9392890
  219. Wed Aug 5 22:51:41 2026 relations with 6 large ideals: 15054221
  220. Wed Aug 5 22:51:41 2026 relations with 7+ large ideals: 28207801
  221. Wed Aug 5 22:51:41 2026 commencing 2-way merge
  222. Wed Aug 5 22:52:04 2026 reduce to 35631068 relation sets and 34833799 unique ideals
  223. Wed Aug 5 22:52:04 2026 commencing full merge
  224. Wed Aug 5 23:00:52 2026 memory use: 4278.9 MB
  225. Wed Aug 5 23:00:55 2026 found 16337234 cycles, need 16297999
  226. Wed Aug 5 23:00:56 2026 weight of 16297999 cycles is about 1793265843 (110.03/cycle)
  227. Wed Aug 5 23:00:56 2026 distribution of cycle lengths:
  228. Wed Aug 5 23:00:56 2026 1 relations: 1150164
  229. Wed Aug 5 23:00:56 2026 2 relations: 1329553
  230. Wed Aug 5 23:00:56 2026 3 relations: 1383648
  231. Wed Aug 5 23:00:56 2026 4 relations: 1314796
  232. Wed Aug 5 23:00:56 2026 5 relations: 1263732
  233. Wed Aug 5 23:00:56 2026 6 relations: 1199976
  234. Wed Aug 5 23:00:56 2026 7 relations: 1127855
  235. Wed Aug 5 23:00:56 2026 8 relations: 1053929
  236. Wed Aug 5 23:00:56 2026 9 relations: 962925
  237. Wed Aug 5 23:00:56 2026 10+ relations: 5511421
  238. Wed Aug 5 23:00:56 2026 heaviest cycle: 28 relations
  239. Wed Aug 5 23:00:58 2026 commencing cycle optimization
  240. Wed Aug 5 23:01:25 2026 start with 129767477 relations
  241. Wed Aug 5 23:04:19 2026 pruned 4713857 relations
  242. Wed Aug 5 23:04:20 2026 memory use: 3694.2 MB
  243. Wed Aug 5 23:04:20 2026 distribution of cycle lengths:
  244. Wed Aug 5 23:04:20 2026 1 relations: 1150164
  245. Wed Aug 5 23:04:20 2026 2 relations: 1362816
  246. Wed Aug 5 23:04:20 2026 3 relations: 1438756
  247. Wed Aug 5 23:04:20 2026 4 relations: 1359356
  248. Wed Aug 5 23:04:20 2026 5 relations: 1313306
  249. Wed Aug 5 23:04:20 2026 6 relations: 1239081
  250. Wed Aug 5 23:04:20 2026 7 relations: 1166182
  251. Wed Aug 5 23:04:20 2026 8 relations: 1082548
  252. Wed Aug 5 23:04:20 2026 9 relations: 987105
  253. Wed Aug 5 23:04:20 2026 10+ relations: 5198685
  254. Wed Aug 5 23:04:20 2026 heaviest cycle: 28 relations
  255. Wed Aug 5 23:04:39 2026 trying target density 130
  256. Wed Aug 5 23:04:44 2026 relations with 0 large ideals: 2524
  257. Wed Aug 5 23:04:44 2026 relations with 1 large ideals: 6084
  258. Wed Aug 5 23:04:44 2026 relations with 2 large ideals: 107164
  259. Wed Aug 5 23:04:44 2026 relations with 3 large ideals: 850041
  260. Wed Aug 5 23:04:44 2026 relations with 4 large ideals: 3658778
  261. Wed Aug 5 23:04:44 2026 relations with 5 large ideals: 9392890
  262. Wed Aug 5 23:04:44 2026 relations with 6 large ideals: 15054221
  263. Wed Aug 5 23:04:44 2026 relations with 7+ large ideals: 28207801
  264. Wed Aug 5 23:04:44 2026 commencing 2-way merge
  265. Wed Aug 5 23:05:05 2026 reduce to 35631068 relation sets and 34833799 unique ideals
  266. Wed Aug 5 23:05:05 2026 commencing full merge
  267. Wed Aug 5 23:22:19 2026 memory use: 1608.8 MB
  268. Wed Aug 5 23:22:19 2026 found 62031 cycles, need 7482406
  269. Wed Aug 5 23:22:19 2026 too few cycles, matrix probably cannot build
  270. Wed Aug 5 23:22:20 2026 RelProcTime: 4355
  271. Wed Aug 5 23:22:20 2026
  272. Wed Aug 5 23:22:20 2026 commencing linear algebra
  273. Wed Aug 5 23:22:20 2026 using VBITS=256
  274. Wed Aug 5 23:22:20 2026 building matrices for all densities
  275. Wed Aug 5 23:22:20 2026 found 3 density files
  276. Wed Aug 5 23:22:20 2026 building matrix for density 70
  277. Wed Aug 5 23:22:28 2026 read 19181999 cycles
  278. Wed Aug 5 23:22:47 2026 cycles contain 56624249 unique relations
  279. Wed Aug 5 23:26:50 2026 read 56624249 relations
  280. Wed Aug 5 23:27:00 2026 using 20 quadratic characters above 4294917295
  281. Wed Aug 5 23:27:12 2026 building initial matrix
  282. Wed Aug 5 23:33:13 2026 memory use: 7808.9 MB
  283. Wed Aug 5 23:33:21 2026 read 19181999 cycles
  284. Wed Aug 5 23:33:23 2026 matrix is 19181820 x 19181999 (5848.3 MB) with weight 1845319843 (96.20/col)
  285. Wed Aug 5 23:33:23 2026 sparse part has weight 1302907699 (67.92/col)
  286. Wed Aug 5 23:35:05 2026 filtering completed in 2 passes
  287. Wed Aug 5 23:35:08 2026 matrix is 19173538 x 19173717 (5847.7 MB) with weight 1845034896 (96.23/col)
  288. Wed Aug 5 23:35:08 2026 sparse part has weight 1302852536 (67.95/col)
  289. Wed Aug 5 23:35:43 2026 building matrix for density 90
  290. Wed Aug 5 23:35:47 2026 read 17457999 cycles
  291. Wed Aug 5 23:36:17 2026 cycles contain 56652036 unique relations
  292. Wed Aug 5 23:38:35 2026 read 56652036 relations
  293. Wed Aug 5 23:38:47 2026 using 20 quadratic characters above 4294917295
  294. Wed Aug 5 23:39:08 2026 building initial matrix
  295. Wed Aug 5 23:48:32 2026 memory use: 7817.6 MB
  296. Wed Aug 5 23:48:37 2026 read 17457999 cycles
  297. Wed Aug 5 23:48:39 2026 matrix is 17457822 x 17457999 (6527.3 MB) with weight 2036916189 (116.68/col)
  298. Wed Aug 5 23:48:39 2026 sparse part has weight 1501605803 (86.01/col)
  299. Wed Aug 5 23:51:14 2026 filtering completed in 2 passes
  300. Wed Aug 5 23:51:17 2026 matrix is 17454351 x 17454528 (6527.1 MB) with weight 2036773710 (116.69/col)
  301. Wed Aug 5 23:51:17 2026 sparse part has weight 1501573302 (86.03/col)
  302. Wed Aug 5 23:52:03 2026 building matrix for density 110
  303. Wed Aug 5 23:52:07 2026 read 16297999 cycles
  304. Wed Aug 5 23:52:35 2026 cycles contain 56663398 unique relations
  305. Wed Aug 5 23:53:41 2026 read 56663398 relations
  306. Wed Aug 5 23:53:56 2026 using 20 quadratic characters above 4294917295
  307. Wed Aug 5 23:54:18 2026 building initial matrix
  308. Thu Aug 6 00:04:14 2026 memory use: 7838.2 MB
  309. Thu Aug 6 00:04:24 2026 read 16297999 cycles
  310. Thu Aug 6 00:04:27 2026 matrix is 16297822 x 16297999 (7191.2 MB) with weight 2220974158 (136.27/col)
  311. Thu Aug 6 00:04:27 2026 sparse part has weight 1689548492 (103.67/col)
  312. Thu Aug 6 00:07:38 2026 filtering completed in 2 passes
  313. Thu Aug 6 00:07:44 2026 matrix is 16297027 x 16297204 (7191.1 MB) with weight 2220936748 (136.28/col)
  314. Thu Aug 6 00:07:44 2026 sparse part has weight 1689538823 (103.67/col)
  315. Thu Aug 6 00:08:37 2026 BLanczosTime: 2777
  316. Thu Aug 6 00:08:37 2026 elapsed time 01:58:53
  317. Thu Aug 6 12:14:53 2026
  318. Thu Aug 6 12:14:53 2026
  319. Thu Aug 6 12:14:53 2026 Msieve v. 1.54 (SVN unknown)
  320. Thu Aug 6 12:14:53 2026 random seeds: 875c8114 600b9438
  321. Thu Aug 6 12:14:53 2026 Using 8 OpenMP threads
  322. Thu Aug 6 12:14:53 2026 factoring 28035502796399069758506992296520448213470399925544330647148859754602672366379006772028091598946115273084348315370457130477179971058921836466240811546558182106371622482965451971 (176 digits)
  323. Thu Aug 6 12:14:54 2026 no P-1/P+1/ECM available, skipping
  324. Thu Aug 6 12:14:54 2026 commencing number field sieve (176-digit input)
  325. Thu Aug 6 12:14:54 2026 elapsed time 00:00:01
  326. Thu Aug 6 12:15:53 2026
  327. Thu Aug 6 12:15:53 2026
  328. Thu Aug 6 12:15:53 2026 Msieve v. 1.54 (SVN unknown)
  329. Thu Aug 6 12:15:53 2026 random seeds: 93aff42f 48cc8841
  330. Thu Aug 6 12:15:53 2026 Using 8 OpenMP threads
  331. Thu Aug 6 12:15:53 2026 factoring 28035502796399069758506992296520448213470399925544330647148859754602672366379006772028091598946115273084348315370457130477179971058921836466240811546558182106371622482965451971 (176 digits)
  332. Thu Aug 6 12:15:54 2026 no P-1/P+1/ECM available, skipping
  333. Thu Aug 6 12:15:54 2026 commencing number field sieve (176-digit input)
  334. Thu Aug 6 12:15:54 2026 R0: -11100841037382599927149852149354370
  335. Thu Aug 6 12:15:54 2026 R1: 19485271131605216313647
  336. Thu Aug 6 12:15:54 2026 A0: 28561683854679472068186675916259260415878536
  337. Thu Aug 6 12:15:54 2026 A1: 859223241568664300726182673378006807
  338. Thu Aug 6 12:15:54 2026 A2: -36172516945234663753479146278
  339. Thu Aug 6 12:15:54 2026 A3: -1076597409591274800883
  340. Thu Aug 6 12:15:54 2026 A4: -6781272539694
  341. Thu Aug 6 12:15:54 2026 A5: 332640
  342. Thu Aug 6 12:15:54 2026 skew 40056557.29, size 4.974e-17, alpha -8.604, combined = 1.917e-13 rroots = 3
  343. Thu Aug 6 12:15:54 2026
  344. Thu Aug 6 12:15:54 2026 commencing linear algebra
  345. Thu Aug 6 12:15:54 2026 using VBITS=256
  346. Thu Aug 6 12:15:54 2026 skipping matrix build
  347. Thu Aug 6 12:16:01 2026 matrix starts at (0, 0)
  348. Thu Aug 6 12:16:05 2026 matrix is 16297027 x 16297204 (7191.1 MB) with weight 2220936748 (136.28/col)
  349. Thu Aug 6 12:16:05 2026 sparse part has weight 1689538823 (103.67/col)
  350. Thu Aug 6 12:16:05 2026 saving the first 240 matrix rows for later
  351. Thu Aug 6 12:16:11 2026 matrix includes 256 packed rows
  352. Thu Aug 6 12:16:16 2026 matrix is 16296787 x 16297204 (6543.4 MB) with weight 1547346383 (94.95/col)
  353. Thu Aug 6 12:16:16 2026 sparse part has weight 1454553906 (89.25/col)
  354. Thu Aug 6 12:16:17 2026 using GPU 0 (NVIDIA GeForce RTX 4090)
  355. Thu Aug 6 12:16:17 2026 selected card has CUDA arch 8.9
  356. Thu Aug 6 12:16:18 2026 computed block_nnz 128000000 (L2 cache 75497472 bytes, average column weight 89.3)
  357. Thu Aug 6 12:16:18 2026 nonzeros per matrix block: 256000000
  358. Thu Aug 6 12:20:07 2026 commencing Lanczos iteration
  359. Thu Aug 6 12:20:09 2026 memory use: 15822.2 MB
  360. Thu Aug 6 12:20:39 2026 linear algebra at 0.2%, ETA 4h 7m
  361. Thu Aug 6 12:21:21 2026 checking every 60000 dimensions, checkpointing every 3960000 dimensions
  362. Thu Aug 6 16:30:26 2026 lanczos halted after 63851 iterations (dim = 16296785)
  363. Thu Aug 6 16:32:11 2026 recovered 27 nontrivial dependencies
  364. Thu Aug 6 16:32:12 2026 BLanczosTime: 15378
  365. Thu Aug 6 16:32:12 2026 elapsed time 04:16:19
  366. Thu Aug 6 13:43:21 2026
  367. Thu Aug 6 13:43:21 2026
  368. Thu Aug 6 13:43:21 2026 Msieve v. 1.54 (SVN unknown)
  369. Thu Aug 6 13:43:21 2026 random seeds: ddf0e6f7 4fca9c54
  370. Thu Aug 6 13:43:21 2026 Using 14 OpenMP threads
  371. Thu Aug 6 13:43:21 2026 factoring 28035502796399069758506992296520448213470399925544330647148859754602672366379006772028091598946115273084348315370457130477179971058921836466240811546558182106371622482965451971 (176 digits)
  372. Thu Aug 6 13:43:21 2026 no P-1/P+1/ECM available, skipping
  373. Thu Aug 6 13:43:21 2026 commencing number field sieve (176-digit input)
  374. Thu Aug 6 13:43:21 2026 R0: -11100841037382599927149852149354370
  375. Thu Aug 6 13:43:21 2026 R1: 19485271131605216313647
  376. Thu Aug 6 13:43:21 2026 A0: 28561683854679472068186675916259260415878536
  377. Thu Aug 6 13:43:21 2026 A1: 859223241568664300726182673378006807
  378. Thu Aug 6 13:43:21 2026 A2: -36172516945234663753479146278
  379. Thu Aug 6 13:43:21 2026 A3: -1076597409591274800883
  380. Thu Aug 6 13:43:21 2026 A4: -6781272539694
  381. Thu Aug 6 13:43:21 2026 A5: 332640
  382. Thu Aug 6 13:43:21 2026 skew 40056557.29, size 4.974e-17, alpha -8.604, combined = 1.917e-13 rroots = 3
  383. Thu Aug 6 13:43:21 2026
  384. Thu Aug 6 13:43:21 2026 commencing square root phase
  385. Thu Aug 6 13:43:21 2026 reading relations for dependency 1
  386. Thu Aug 6 13:43:22 2026 read 8147445 cycles
  387. Thu Aug 6 13:43:32 2026 cycles contain 28329514 unique relations
  388. Thu Aug 6 13:49:11 2026 read 28329514 relations
  389. Thu Aug 6 13:50:32 2026 multiplying 28329514 relations
  390. Thu Aug 6 13:53:03 2026 multiply complete, coefficients have about 1595.95 million bits
  391. Thu Aug 6 13:53:05 2026 initial square root is modulo 14421523
  392. Thu Aug 6 13:58:05 2026 GCD is 1, no factor found
  393. Thu Aug 6 13:58:05 2026 reading relations for dependency 2
  394. Thu Aug 6 13:58:07 2026 read 8147119 cycles
  395. Thu Aug 6 13:58:15 2026 cycles contain 28330728 unique relations
  396. Thu Aug 6 13:59:11 2026 read 28330728 relations
  397. Thu Aug 6 14:00:31 2026 multiplying 28330728 relations
  398. Thu Aug 6 14:03:07 2026 multiply complete, coefficients have about 1596.01 million bits
  399. Thu Aug 6 14:03:10 2026 initial square root is modulo 14430029
  400. Thu Aug 6 14:08:05 2026 sqrtTime: 1484
  401. Thu Aug 6 14:08:05 2026 p75 factor: 229567198320824710614662308414596893413747227102791164960328288060161573013
  402. Thu Aug 6 14:08:05 2026 p102 factor: 122123295494589339467158867239279656464312600365375034851422006578497142481660310896344437761305227767
  403. Thu Aug 6 14:08:05 2026 elapsed time 00:24:44
  404.  
Tags: math
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