kyleaskine

C167_9336_i1231 msieve.log

Sep 17th, 2026
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  1. Thu Sep 17 07:06:46 2026
  2. Thu Sep 17 07:06:46 2026
  3. Thu Sep 17 07:06:46 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Sep 17 07:06:46 2026 random seeds: 2e0a81d7 4ab36b85
  5. Thu Sep 17 07:06:46 2026 Using 8 OpenMP threads
  6. Thu Sep 17 07:06:46 2026 factoring 74498894597200824708483562979589135655642651707875895480574415517382014711918098731793369754616580631236333794746775283919160973497764198514533523867240206360886776443 (167 digits)
  7. Thu Sep 17 07:06:46 2026 no P-1/P+1/ECM available, skipping
  8. Thu Sep 17 07:06:46 2026 commencing number field sieve (167-digit input)
  9. Thu Sep 17 07:06:46 2026 R0: -311990642463826386926380776272817
  10. Thu Sep 17 07:06:46 2026 R1: 1945243985954064859591
  11. Thu Sep 17 07:06:46 2026 A0: 928260190379642682011988760123972275310
  12. Thu Sep 17 07:06:46 2026 A1: 148001656916571515402890622216363
  13. Thu Sep 17 07:06:46 2026 A2: -154103961985145411012325001
  14. Thu Sep 17 07:06:46 2026 A3: -2148466543429987838
  15. Thu Sep 17 07:06:46 2026 A4: 3085874141976
  16. Thu Sep 17 07:06:46 2026 A5: 201600
  17. Thu Sep 17 07:06:46 2026 skew 6490410.91, size 5.593e-16, alpha -7.734, combined = 8.481e-13 rroots = 3
  18. Thu Sep 17 07:06:46 2026
  19. Thu Sep 17 07:06:46 2026 commencing relation filtering
  20. Thu Sep 17 07:06:46 2026 setting 3 target densities:Thu Sep 17 07:06:46 2026 90Thu Sep 17 07:06:46 2026 110Thu Sep 17 07:06:46 2026 130Thu Sep 17 07:06:46 2026
  21. Thu Sep 17 07:06:46 2026 estimated available RAM is 78540.1 MB
  22. Thu Sep 17 07:06:46 2026 commencing duplicate removal, pass 1
  23. Thu Sep 17 07:08:34 2026 error -1 reading relation 57696543
  24. Thu Sep 17 07:09:11 2026 error -1 reading relation 76280913
  25. Thu Sep 17 07:09:14 2026 error -1 reading relation 77600465
  26. Thu Sep 17 07:09:19 2026 error -1 reading relation 80783312
  27. Thu Sep 17 07:09:49 2026 error -1 reading relation 97384800
  28. Thu Sep 17 07:10:12 2026 error -1 reading relation 108974068
  29. Thu Sep 17 07:10:12 2026 error -1 reading relation 108980468
  30. Thu Sep 17 07:10:18 2026 error -1 reading relation 112198336
  31. Thu Sep 17 07:10:34 2026 error -1 reading relation 121079803
  32. Thu Sep 17 07:11:07 2026 skipped 70 malformed relations
  33. Thu Sep 17 07:11:07 2026 found 18959889 hash collisions in 137487633 relations
  34. Thu Sep 17 07:11:22 2026 added 121381 free relations
  35. Thu Sep 17 07:11:22 2026 commencing duplicate removal, pass 2
  36. Thu Sep 17 07:12:15 2026 found 17515407 duplicates and 120093607 unique relations
  37. Thu Sep 17 07:12:15 2026 memory use: 788.8 MB
  38. Thu Sep 17 07:12:15 2026 reading ideals above 720000
  39. Thu Sep 17 07:12:15 2026 commencing singleton removal, initial pass
  40. Thu Sep 17 07:18:35 2026 memory use: 3012.0 MB
  41. Thu Sep 17 07:18:35 2026 reading all ideals from disk
  42. Thu Sep 17 07:18:50 2026 memory use: 5487.1 MB
  43. Thu Sep 17 07:19:03 2026 keeping 117595567 ideals with weight <= 200, target excess is 619078
  44. Thu Sep 17 07:19:11 2026 commencing in-memory singleton removal
  45. Thu Sep 17 07:19:13 2026 begin with 120093607 relations and 117595567 unique ideals
  46. Thu Sep 17 07:19:23 2026 reduce to 64124031 relations and 54774049 ideals in 15 passes
  47. Thu Sep 17 07:19:23 2026 max relations containing the same ideal: 139
  48. Thu Sep 17 07:19:40 2026 removing 6292714 relations and 5292714 ideals in 1000000 cliques
  49. Thu Sep 17 07:19:41 2026 commencing in-memory singleton removal
  50. Thu Sep 17 07:19:42 2026 begin with 57831317 relations and 54774049 unique ideals
  51. Thu Sep 17 07:19:46 2026 reduce to 57396957 relations and 49038506 ideals in 9 passes
  52. Thu Sep 17 07:19:46 2026 max relations containing the same ideal: 126
  53. Thu Sep 17 07:20:02 2026 removing 4779761 relations and 3779761 ideals in 1000000 cliques
  54. Thu Sep 17 07:20:03 2026 commencing in-memory singleton removal
  55. Thu Sep 17 07:20:04 2026 begin with 52617196 relations and 49038506 unique ideals
  56. Thu Sep 17 07:20:07 2026 reduce to 52325640 relations and 44962107 ideals in 8 passes
  57. Thu Sep 17 07:20:07 2026 max relations containing the same ideal: 120
  58. Thu Sep 17 07:20:22 2026 removing 4313869 relations and 3313869 ideals in 1000000 cliques
  59. Thu Sep 17 07:20:23 2026 commencing in-memory singleton removal
  60. Thu Sep 17 07:20:23 2026 begin with 48011771 relations and 44962107 unique ideals
  61. Thu Sep 17 07:20:27 2026 reduce to 47750436 relations and 41382289 ideals in 8 passes
  62. Thu Sep 17 07:20:27 2026 max relations containing the same ideal: 112
  63. Thu Sep 17 07:20:38 2026 removing 4075501 relations and 3075501 ideals in 1000000 cliques
  64. Thu Sep 17 07:20:39 2026 commencing in-memory singleton removal
  65. Thu Sep 17 07:20:39 2026 begin with 43674935 relations and 41382289 unique ideals
  66. Thu Sep 17 07:20:42 2026 reduce to 43423329 relations and 38050464 ideals in 7 passes
  67. Thu Sep 17 07:20:42 2026 max relations containing the same ideal: 107
  68. Thu Sep 17 07:20:53 2026 removing 3924238 relations and 2924238 ideals in 1000000 cliques
  69. Thu Sep 17 07:20:54 2026 commencing in-memory singleton removal
  70. Thu Sep 17 07:20:54 2026 begin with 39499091 relations and 38050464 unique ideals
  71. Thu Sep 17 07:20:57 2026 reduce to 39246576 relations and 34868764 ideals in 8 passes
  72. Thu Sep 17 07:20:57 2026 max relations containing the same ideal: 99
  73. Thu Sep 17 07:21:06 2026 removing 3826374 relations and 2826374 ideals in 1000000 cliques
  74. Thu Sep 17 07:21:07 2026 commencing in-memory singleton removal
  75. Thu Sep 17 07:21:07 2026 begin with 35420202 relations and 34868764 unique ideals
  76. Thu Sep 17 07:21:09 2026 reduce to 35161078 relations and 31777614 ideals in 7 passes
  77. Thu Sep 17 07:21:09 2026 max relations containing the same ideal: 90
  78. Thu Sep 17 07:21:19 2026 removing 3755721 relations and 2755721 ideals in 1000000 cliques
  79. Thu Sep 17 07:21:20 2026 commencing in-memory singleton removal
  80. Thu Sep 17 07:21:20 2026 begin with 31405357 relations and 31777614 unique ideals
  81. Thu Sep 17 07:21:22 2026 reduce to 31133699 relations and 28743718 ideals in 8 passes
  82. Thu Sep 17 07:21:22 2026 max relations containing the same ideal: 85
  83. Thu Sep 17 07:21:31 2026 removing 3703237 relations and 2703237 ideals in 1000000 cliques
  84. Thu Sep 17 07:21:32 2026 commencing in-memory singleton removal
  85. Thu Sep 17 07:21:32 2026 begin with 27430462 relations and 28743718 unique ideals
  86. Thu Sep 17 07:21:34 2026 reduce to 27136041 relations and 25738093 ideals in 9 passes
  87. Thu Sep 17 07:21:34 2026 max relations containing the same ideal: 75
  88. Thu Sep 17 07:21:42 2026 removing 2687831 relations and 2008014 ideals in 679817 cliques
  89. Thu Sep 17 07:21:42 2026 commencing in-memory singleton removal
  90. Thu Sep 17 07:21:42 2026 begin with 24448210 relations and 25738093 unique ideals
  91. Thu Sep 17 07:21:44 2026 reduce to 24278259 relations and 23556552 ideals in 9 passes
  92. Thu Sep 17 07:21:44 2026 max relations containing the same ideal: 70
  93. Thu Sep 17 07:21:51 2026 trying target density 90
  94. Thu Sep 17 07:21:53 2026 relations with 0 large ideals: 2195
  95. Thu Sep 17 07:21:53 2026 relations with 1 large ideals: 10214
  96. Thu Sep 17 07:21:53 2026 relations with 2 large ideals: 147415
  97. Thu Sep 17 07:21:53 2026 relations with 3 large ideals: 906022
  98. Thu Sep 17 07:21:53 2026 relations with 4 large ideals: 2960401
  99. Thu Sep 17 07:21:53 2026 relations with 5 large ideals: 5684000
  100. Thu Sep 17 07:21:53 2026 relations with 6 large ideals: 6734446
  101. Thu Sep 17 07:21:53 2026 relations with 7+ large ideals: 7833566
  102. Thu Sep 17 07:21:53 2026 commencing 2-way merge
  103. Thu Sep 17 07:22:02 2026 reduce to 15568799 relation sets and 14847092 unique ideals
  104. Thu Sep 17 07:22:02 2026 commencing full merge
  105. Thu Sep 17 07:25:05 2026 memory use: 1865.1 MB
  106. Thu Sep 17 07:25:07 2026 found 7819608 cycles, need 7721292
  107. Thu Sep 17 07:25:07 2026 weight of 7721292 cycles is about 695307041 (90.05/cycle)
  108. Thu Sep 17 07:25:07 2026 distribution of cycle lengths:
  109. Thu Sep 17 07:25:07 2026 1 relations: 506402
  110. Thu Sep 17 07:25:07 2026 2 relations: 713447
  111. Thu Sep 17 07:25:07 2026 3 relations: 783848
  112. Thu Sep 17 07:25:07 2026 4 relations: 765829
  113. Thu Sep 17 07:25:07 2026 5 relations: 749955
  114. Thu Sep 17 07:25:07 2026 6 relations: 700187
  115. Thu Sep 17 07:25:07 2026 7 relations: 650031
  116. Thu Sep 17 07:25:07 2026 8 relations: 578981
  117. Thu Sep 17 07:25:07 2026 9 relations: 503070
  118. Thu Sep 17 07:25:07 2026 10+ relations: 1769542
  119. Thu Sep 17 07:25:07 2026 heaviest cycle: 22 relations
  120. Thu Sep 17 07:25:09 2026 commencing cycle optimization
  121. Thu Sep 17 07:25:18 2026 start with 51092602 relations
  122. Thu Sep 17 07:26:13 2026 pruned 1743483 relations
  123. Thu Sep 17 07:26:14 2026 memory use: 1532.8 MB
  124. Thu Sep 17 07:26:14 2026 distribution of cycle lengths:
  125. Thu Sep 17 07:26:14 2026 1 relations: 506402
  126. Thu Sep 17 07:26:14 2026 2 relations: 731245
  127. Thu Sep 17 07:26:14 2026 3 relations: 817895
  128. Thu Sep 17 07:26:14 2026 4 relations: 793231
  129. Thu Sep 17 07:26:14 2026 5 relations: 780937
  130. Thu Sep 17 07:26:14 2026 6 relations: 723500
  131. Thu Sep 17 07:26:14 2026 7 relations: 670518
  132. Thu Sep 17 07:26:14 2026 8 relations: 591230
  133. Thu Sep 17 07:26:14 2026 9 relations: 508379
  134. Thu Sep 17 07:26:14 2026 10+ relations: 1597955
  135. Thu Sep 17 07:26:14 2026 heaviest cycle: 22 relations
  136. Thu Sep 17 07:26:23 2026 trying target density 110
  137. Thu Sep 17 07:26:25 2026 relations with 0 large ideals: 2195
  138. Thu Sep 17 07:26:25 2026 relations with 1 large ideals: 10214
  139. Thu Sep 17 07:26:25 2026 relations with 2 large ideals: 147415
  140. Thu Sep 17 07:26:25 2026 relations with 3 large ideals: 906022
  141. Thu Sep 17 07:26:25 2026 relations with 4 large ideals: 2960401
  142. Thu Sep 17 07:26:25 2026 relations with 5 large ideals: 5684000
  143. Thu Sep 17 07:26:25 2026 relations with 6 large ideals: 6734446
  144. Thu Sep 17 07:26:25 2026 relations with 7+ large ideals: 7833566
  145. Thu Sep 17 07:26:25 2026 commencing 2-way merge
  146. Thu Sep 17 07:26:36 2026 reduce to 15568799 relation sets and 14847092 unique ideals
  147. Thu Sep 17 07:26:36 2026 commencing full merge
  148. Thu Sep 17 07:30:17 2026 memory use: 1925.0 MB
  149. Thu Sep 17 07:30:19 2026 found 7326491 cycles, need 7247292
  150. Thu Sep 17 07:30:20 2026 weight of 7247292 cycles is about 797324525 (110.02/cycle)
  151. Thu Sep 17 07:30:20 2026 distribution of cycle lengths:
  152. Thu Sep 17 07:30:20 2026 1 relations: 295111
  153. Thu Sep 17 07:30:20 2026 2 relations: 507485
  154. Thu Sep 17 07:30:20 2026 3 relations: 593834
  155. Thu Sep 17 07:30:20 2026 4 relations: 598783
  156. Thu Sep 17 07:30:20 2026 5 relations: 605880
  157. Thu Sep 17 07:30:20 2026 6 relations: 583790
  158. Thu Sep 17 07:30:20 2026 7 relations: 562012
  159. Thu Sep 17 07:30:20 2026 8 relations: 525736
  160. Thu Sep 17 07:30:20 2026 9 relations: 484065
  161. Thu Sep 17 07:30:20 2026 10+ relations: 2490596
  162. Thu Sep 17 07:30:20 2026 heaviest cycle: 26 relations
  163. Thu Sep 17 07:30:21 2026 commencing cycle optimization
  164. Thu Sep 17 07:30:32 2026 start with 58391608 relations
  165. Thu Sep 17 07:31:52 2026 pruned 2425219 relations
  166. Thu Sep 17 07:31:52 2026 memory use: 1608.7 MB
  167. Thu Sep 17 07:31:52 2026 distribution of cycle lengths:
  168. Thu Sep 17 07:31:52 2026 1 relations: 295111
  169. Thu Sep 17 07:31:52 2026 2 relations: 521229
  170. Thu Sep 17 07:31:52 2026 3 relations: 621277
  171. Thu Sep 17 07:31:52 2026 4 relations: 623316
  172. Thu Sep 17 07:31:52 2026 5 relations: 635466
  173. Thu Sep 17 07:31:52 2026 6 relations: 608869
  174. Thu Sep 17 07:31:52 2026 7 relations: 586798
  175. Thu Sep 17 07:31:52 2026 8 relations: 545821
  176. Thu Sep 17 07:31:52 2026 9 relations: 500999
  177. Thu Sep 17 07:31:52 2026 10+ relations: 2308406
  178. Thu Sep 17 07:31:52 2026 heaviest cycle: 26 relations
  179. Thu Sep 17 07:32:01 2026 trying target density 130
  180. Thu Sep 17 07:32:03 2026 relations with 0 large ideals: 2195
  181. Thu Sep 17 07:32:03 2026 relations with 1 large ideals: 10214
  182. Thu Sep 17 07:32:03 2026 relations with 2 large ideals: 147415
  183. Thu Sep 17 07:32:03 2026 relations with 3 large ideals: 906022
  184. Thu Sep 17 07:32:03 2026 relations with 4 large ideals: 2960401
  185. Thu Sep 17 07:32:03 2026 relations with 5 large ideals: 5684000
  186. Thu Sep 17 07:32:03 2026 relations with 6 large ideals: 6734446
  187. Thu Sep 17 07:32:03 2026 relations with 7+ large ideals: 7833566
  188. Thu Sep 17 07:32:03 2026 commencing 2-way merge
  189. Thu Sep 17 07:32:12 2026 reduce to 15568799 relation sets and 14847092 unique ideals
  190. Thu Sep 17 07:32:12 2026 commencing full merge
  191. Thu Sep 17 07:36:30 2026 memory use: 1965.2 MB
  192. Thu Sep 17 07:36:31 2026 found 6921171 cycles, need 6897292
  193. Thu Sep 17 07:36:33 2026 weight of 6897292 cycles is about 897239131 (130.09/cycle)
  194. Thu Sep 17 07:36:33 2026 distribution of cycle lengths:
  195. Thu Sep 17 07:36:33 2026 1 relations: 180024
  196. Thu Sep 17 07:36:33 2026 2 relations: 378291
  197. Thu Sep 17 07:36:33 2026 3 relations: 463025
  198. Thu Sep 17 07:36:33 2026 4 relations: 480377
  199. Thu Sep 17 07:36:33 2026 5 relations: 495509
  200. Thu Sep 17 07:36:33 2026 6 relations: 488479
  201. Thu Sep 17 07:36:33 2026 7 relations: 478387
  202. Thu Sep 17 07:36:33 2026 8 relations: 462400
  203. Thu Sep 17 07:36:33 2026 9 relations: 438529
  204. Thu Sep 17 07:36:33 2026 10+ relations: 3032271
  205. Thu Sep 17 07:36:33 2026 heaviest cycle: 28 relations
  206. Thu Sep 17 07:36:34 2026 commencing cycle optimization
  207. Thu Sep 17 07:36:46 2026 start with 65444879 relations
  208. Thu Sep 17 07:38:37 2026 pruned 3148952 relations
  209. Thu Sep 17 07:38:37 2026 memory use: 1679.3 MB
  210. Thu Sep 17 07:38:37 2026 distribution of cycle lengths:
  211. Thu Sep 17 07:38:37 2026 1 relations: 180024
  212. Thu Sep 17 07:38:37 2026 2 relations: 389143
  213. Thu Sep 17 07:38:37 2026 3 relations: 484874
  214. Thu Sep 17 07:38:37 2026 4 relations: 501676
  215. Thu Sep 17 07:38:37 2026 5 relations: 521701
  216. Thu Sep 17 07:38:37 2026 6 relations: 512813
  217. Thu Sep 17 07:38:37 2026 7 relations: 503886
  218. Thu Sep 17 07:38:37 2026 8 relations: 485179
  219. Thu Sep 17 07:38:37 2026 9 relations: 460260
  220. Thu Sep 17 07:38:37 2026 10+ relations: 2857736
  221. Thu Sep 17 07:38:37 2026 heaviest cycle: 28 relations
  222. Thu Sep 17 07:38:45 2026 RelProcTime: 1919
  223. Thu Sep 17 07:38:45 2026
  224. Thu Sep 17 07:38:45 2026 commencing linear algebra
  225. Thu Sep 17 07:38:45 2026 using VBITS=256
  226. Thu Sep 17 07:38:45 2026 building matrices for all densities
  227. Thu Sep 17 07:38:45 2026 found 3 density files
  228. Thu Sep 17 07:38:45 2026 building matrix for density 90
  229. Thu Sep 17 07:38:46 2026 read 7721292 cycles
  230. Thu Sep 17 07:38:52 2026 cycles contain 23847400 unique relations
  231. Thu Sep 17 07:39:18 2026 read 23847400 relations
  232. Thu Sep 17 07:39:22 2026 using 20 quadratic characters above 4294917295
  233. Thu Sep 17 07:39:30 2026 building initial matrix
  234. Thu Sep 17 07:42:15 2026 memory use: 3288.8 MB
  235. Thu Sep 17 07:42:17 2026 read 7721292 cycles
  236. Thu Sep 17 07:42:18 2026 matrix is 7721112 x 7721292 (2883.5 MB) with weight 894038017 (115.79/col)
  237. Thu Sep 17 07:42:18 2026 sparse part has weight 663228307 (85.90/col)
  238. Thu Sep 17 07:42:58 2026 filtering completed in 2 passes
  239. Thu Sep 17 07:42:58 2026 matrix is 7720198 x 7720378 (2883.4 MB) with weight 893997984 (115.80/col)
  240. Thu Sep 17 07:42:58 2026 sparse part has weight 663215442 (85.90/col)
  241. Thu Sep 17 07:43:08 2026 building matrix for density 110
  242. Thu Sep 17 07:43:08 2026 read 7247292 cycles
  243. Thu Sep 17 07:43:15 2026 cycles contain 23854458 unique relations
  244. Thu Sep 17 07:43:29 2026 read 23854458 relations
  245. Thu Sep 17 07:43:34 2026 using 20 quadratic characters above 4294917295
  246. Thu Sep 17 07:43:43 2026 building initial matrix
  247. Thu Sep 17 07:46:51 2026 memory use: 3300.4 MB
  248. Thu Sep 17 07:46:53 2026 read 7247292 cycles
  249. Thu Sep 17 07:46:54 2026 matrix is 7247115 x 7247292 (3191.5 MB) with weight 980514410 (135.29/col)
  250. Thu Sep 17 07:46:54 2026 sparse part has weight 749671857 (103.44/col)
  251. Thu Sep 17 07:47:38 2026 filtering completed in 2 passes
  252. Thu Sep 17 07:47:39 2026 matrix is 7246730 x 7246907 (3191.5 MB) with weight 980494938 (135.30/col)
  253. Thu Sep 17 07:47:39 2026 sparse part has weight 749665058 (103.45/col)
  254. Thu Sep 17 07:47:50 2026 building matrix for density 130
  255. Thu Sep 17 07:47:50 2026 read 6897292 cycles
  256. Thu Sep 17 07:47:59 2026 cycles contain 23857060 unique relations
  257. Thu Sep 17 07:48:12 2026 read 23857060 relations
  258. Thu Sep 17 07:48:17 2026 using 20 quadratic characters above 4294917295
  259. Thu Sep 17 07:48:26 2026 building initial matrix
  260. Thu Sep 17 07:52:19 2026 memory use: 3314.2 MB
  261. Thu Sep 17 07:52:22 2026 read 6897292 cycles
  262. Thu Sep 17 07:52:22 2026 matrix is 6897115 x 6897292 (3490.6 MB) with weight 1063216047 (154.15/col)
  263. Thu Sep 17 07:52:22 2026 sparse part has weight 832274445 (120.67/col)
  264. Thu Sep 17 07:53:10 2026 filtering completed in 2 passes
  265. Thu Sep 17 07:53:11 2026 matrix is 6897039 x 6897216 (3490.6 MB) with weight 1063212657 (154.15/col)
  266. Thu Sep 17 07:53:11 2026 sparse part has weight 832273637 (120.67/col)
  267. Thu Sep 17 07:53:20 2026 BLanczosTime: 875
  268. Thu Sep 17 07:53:20 2026 elapsed time 00:46:34
  269. Thu Sep 17 13:02:46 2026
  270. Thu Sep 17 13:02:46 2026
  271. Thu Sep 17 13:02:46 2026 Msieve v. 1.54 (SVN unknown)
  272. Thu Sep 17 13:02:46 2026 random seeds: aadb3309 6956de33
  273. Thu Sep 17 13:02:46 2026 factoring 74498894597200824708483562979589135655642651707875895480574415517382014711918098731793369754616580631236333794746775283919160973497764198514533523867240206360886776443 (167 digits)
  274. Thu Sep 17 13:02:46 2026 no P-1/P+1/ECM available, skipping
  275. Thu Sep 17 13:02:46 2026 commencing number field sieve (167-digit input)
  276. Thu Sep 17 13:02:46 2026 R0: -311990642463826386926380776272817
  277. Thu Sep 17 13:02:46 2026 R1: 1945243985954064859591
  278. Thu Sep 17 13:02:46 2026 A0: 928260190379642682011988760123972275310
  279. Thu Sep 17 13:02:46 2026 A1: 148001656916571515402890622216363
  280. Thu Sep 17 13:02:46 2026 A2: -154103961985145411012325001
  281. Thu Sep 17 13:02:46 2026 A3: -2148466543429987838
  282. Thu Sep 17 13:02:46 2026 A4: 3085874141976
  283. Thu Sep 17 13:02:46 2026 A5: 201600
  284. Thu Sep 17 13:02:46 2026 skew 6490410.91, size 5.593e-16, alpha -7.734, combined = 8.481e-13 rroots = 3
  285. Thu Sep 17 13:02:46 2026
  286. Thu Sep 17 13:02:46 2026 commencing linear algebra
  287. Thu Sep 17 13:02:46 2026 using VBITS=256
  288. Thu Sep 17 13:02:46 2026 skipping matrix build
  289. Thu Sep 17 13:02:51 2026 matrix starts at (0, 0)
  290. Thu Sep 17 13:02:52 2026 matrix is 6897039 x 6897216 (3490.6 MB) with weight 1063212657 (154.15/col)
  291. Thu Sep 17 13:02:52 2026 sparse part has weight 832273637 (120.67/col)
  292. Thu Sep 17 13:02:52 2026 saving the first 240 matrix rows for later
  293. Thu Sep 17 13:02:54 2026 matrix includes 256 packed rows
  294. Thu Sep 17 13:02:57 2026 matrix is 6896799 x 6897216 (3134.5 MB) with weight 759599467 (110.13/col)
  295. Thu Sep 17 13:02:57 2026 sparse part has weight 711335022 (103.13/col)
  296. Thu Sep 17 13:02:57 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  297. Thu Sep 17 13:02:57 2026 selected card has CUDA arch 12.0
  298. Thu Sep 17 13:02:58 2026 computed block_nnz 162215196 (L2 cache 100663296 bytes, average column weight 103.1)
  299. Thu Sep 17 13:02:58 2026 nonzeros per matrix block: 256000000
  300. Thu Sep 17 13:04:09 2026 commencing Lanczos iteration
  301. Thu Sep 17 13:04:10 2026 memory use: 7295.1 MB
  302. Thu Sep 17 13:04:15 2026 linear algebra at 0.4%, ETA 0h18m
  303. Thu Sep 17 13:04:22 2026 checking every 380000 dimensions, checkpointing every 23180000 dimensions
  304. Thu Sep 17 13:22:10 2026 lanczos halted after 27023 iterations (dim = 6896796)
  305. Thu Sep 17 13:23:29 2026 recovered 26 nontrivial dependencies
  306. Thu Sep 17 13:23:30 2026 BLanczosTime: 1244
  307. Thu Sep 17 13:23:30 2026 elapsed time 00:20:44
  308. Thu Sep 17 09:30:55 2026
  309. Thu Sep 17 09:30:55 2026
  310. Thu Sep 17 09:30:55 2026 Msieve v. 1.54 (SVN unknown)
  311. Thu Sep 17 09:30:55 2026 random seeds: 01c40243 039aec6c
  312. Thu Sep 17 09:30:55 2026 Using 14 OpenMP threads
  313. Thu Sep 17 09:30:55 2026 factoring 74498894597200824708483562979589135655642651707875895480574415517382014711918098731793369754616580631236333794746775283919160973497764198514533523867240206360886776443 (167 digits)
  314. Thu Sep 17 09:30:56 2026 no P-1/P+1/ECM available, skipping
  315. Thu Sep 17 09:30:56 2026 commencing number field sieve (167-digit input)
  316. Thu Sep 17 09:30:56 2026 R0: -311990642463826386926380776272817
  317. Thu Sep 17 09:30:56 2026 R1: 1945243985954064859591
  318. Thu Sep 17 09:30:56 2026 A0: 928260190379642682011988760123972275310
  319. Thu Sep 17 09:30:56 2026 A1: 148001656916571515402890622216363
  320. Thu Sep 17 09:30:56 2026 A2: -154103961985145411012325001
  321. Thu Sep 17 09:30:56 2026 A3: -2148466543429987838
  322. Thu Sep 17 09:30:56 2026 A4: 3085874141976
  323. Thu Sep 17 09:30:56 2026 A5: 201600
  324. Thu Sep 17 09:30:56 2026 skew 6490410.91, size 5.593e-16, alpha -7.734, combined = 8.481e-13 rroots = 3
  325. Thu Sep 17 09:30:56 2026
  326. Thu Sep 17 09:30:56 2026 commencing square root phase
  327. Thu Sep 17 09:30:56 2026 reading relations for dependency 1
  328. Thu Sep 17 09:30:58 2026 read 3449032 cycles
  329. Thu Sep 17 09:31:03 2026 cycles contain 11929404 unique relations
  330. Thu Sep 17 09:32:53 2026 read 11929404 relations
  331. Thu Sep 17 09:33:30 2026 multiplying 11929404 relations
  332. Thu Sep 17 09:34:43 2026 multiply complete, coefficients have about 644.03 million bits
  333. Thu Sep 17 09:34:43 2026 initial square root is modulo 599803
  334. Thu Sep 17 09:37:18 2026 GCD is 1, no factor found
  335. Thu Sep 17 09:37:18 2026 reading relations for dependency 2
  336. Thu Sep 17 09:37:18 2026 read 3447630 cycles
  337. Thu Sep 17 09:37:23 2026 cycles contain 11927628 unique relations
  338. Thu Sep 17 09:37:39 2026 read 11927628 relations
  339. Thu Sep 17 09:38:26 2026 multiplying 11927628 relations
  340. Thu Sep 17 09:39:41 2026 multiply complete, coefficients have about 643.93 million bits
  341. Thu Sep 17 09:39:43 2026 initial square root is modulo 598789
  342. Thu Sep 17 09:42:26 2026 GCD is N, no factor found
  343. Thu Sep 17 09:42:26 2026 reading relations for dependency 3
  344. Thu Sep 17 09:42:26 2026 read 3447347 cycles
  345. Thu Sep 17 09:42:32 2026 cycles contain 11928058 unique relations
  346. Thu Sep 17 09:42:50 2026 read 11928058 relations
  347. Thu Sep 17 09:43:37 2026 multiplying 11928058 relations
  348. Thu Sep 17 09:44:45 2026 multiply complete, coefficients have about 643.96 million bits
  349. Thu Sep 17 09:44:47 2026 initial square root is modulo 598891
  350. Thu Sep 17 09:47:32 2026 GCD is N, no factor found
  351. Thu Sep 17 09:47:32 2026 reading relations for dependency 4
  352. Thu Sep 17 09:47:33 2026 read 3450599 cycles
  353. Thu Sep 17 09:47:38 2026 cycles contain 11932402 unique relations
  354. Thu Sep 17 09:48:12 2026 read 11932402 relations
  355. Thu Sep 17 09:48:58 2026 multiplying 11932402 relations
  356. Thu Sep 17 09:50:07 2026 multiply complete, coefficients have about 644.20 million bits
  357. Thu Sep 17 09:50:08 2026 initial square root is modulo 601831
  358. Thu Sep 17 09:52:55 2026 sqrtTime: 1319
  359. Thu Sep 17 09:52:55 2026 p82 factor: 6095891224513562251484094008689917507710261107508160669151282993627853581811637461
  360. Thu Sep 17 09:52:55 2026 p86 factor: 12221165347835690894324539978317620339358910821034397597195872391721771615611123112463
  361. Thu Sep 17 09:52:55 2026 elapsed time 00:22:00
  362.  
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