kyleaskine

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Aug 19th, 2026
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  1. Tue Aug 18 22:56:09 2026
  2. Tue Aug 18 22:56:09 2026
  3. Tue Aug 18 22:56:09 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Aug 18 22:56:09 2026 random seeds: 659f1ea7 cb3484a8
  5. Tue Aug 18 22:56:09 2026 Using 8 OpenMP threads
  6. Tue Aug 18 22:56:09 2026 factoring 16927047838339959408530715434681405878975293233899066770634740636212113962770657791935140867585210005574393867951701260385029785312088058630464046904723787603782890935531959689556801338007206615562803018835198254338886342771 (224 digits)
  7. Tue Aug 18 22:56:10 2026 no P-1/P+1/ECM available, skipping
  8. Tue Aug 18 22:56:10 2026 commencing number field sieve (224-digit input)
  9. Tue Aug 18 22:56:10 2026 R0: 1
  10. Tue Aug 18 22:56:10 2026 R1: -16023726991133178904286583443311879009
  11. Tue Aug 18 22:56:10 2026 A0: -2521087073569
  12. Tue Aug 18 22:56:10 2026 A1: 0
  13. Tue Aug 18 22:56:10 2026 A2: 0
  14. Tue Aug 18 22:56:10 2026 A3: 0
  15. Tue Aug 18 22:56:10 2026 A4: 0
  16. Tue Aug 18 22:56:10 2026 A5: 0
  17. Tue Aug 18 22:56:10 2026 A6: 1
  18. Tue Aug 18 22:56:10 2026 skew 91.77, size 2.086e-12, alpha -3.009, combined = 2.145e-13 rroots = 2
  19. Tue Aug 18 22:56:10 2026
  20. Tue Aug 18 22:56:10 2026 commencing relation filtering
  21. Tue Aug 18 22:56:10 2026 setting 3 target densities:Tue Aug 18 22:56:10 2026 90Tue Aug 18 22:56:10 2026 110Tue Aug 18 22:56:10 2026 130Tue Aug 18 22:56:10 2026
  22. Tue Aug 18 22:56:10 2026 estimated available RAM is 78540.1 MB
  23. Tue Aug 18 22:56:10 2026 commencing duplicate removal, pass 1
  24. Tue Aug 18 22:57:30 2026 error -1 reading relation 23797289
  25. Tue Aug 18 22:57:32 2026 error -1 reading relation 24452828
  26. Tue Aug 18 22:57:48 2026 error -1 reading relation 29484973
  27. Tue Aug 18 22:58:51 2026 error -1 reading relation 53150653
  28. Tue Aug 18 23:00:47 2026 error -15 reading relation 95620884
  29. Tue Aug 18 23:00:47 2026 error -1 reading relation 95620885
  30. Tue Aug 18 23:00:58 2026 error -1 reading relation 100657465
  31. Tue Aug 18 23:01:08 2026 error -1 reading relation 104044333
  32. Tue Aug 18 23:02:33 2026 error -11 reading relation 135783801
  33. Tue Aug 18 23:02:33 2026 error -6 reading relation 135902478
  34. Tue Aug 18 23:02:45 2026 error -1 reading relation 140109050
  35. Tue Aug 18 23:02:46 2026 error -1 reading relation 140405286
  36. Tue Aug 18 23:03:26 2026 error -1 reading relation 156400115
  37. Tue Aug 18 23:03:26 2026 error -1 reading relation 156404498
  38. Tue Aug 18 23:03:28 2026 error -1 reading relation 156873733
  39. Tue Aug 18 23:03:37 2026 error -1 reading relation 161028674
  40. Tue Aug 18 23:04:05 2026 error -1 reading relation 173414475
  41. Tue Aug 18 23:04:24 2026 error -1 reading relation 182522464
  42. Tue Aug 18 23:04:52 2026 error -1 reading relation 196267472
  43. Tue Aug 18 23:05:04 2026 error -1 reading relation 202005492
  44. Tue Aug 18 23:05:04 2026 error -1 reading relation 202450585
  45. Tue Aug 18 23:05:19 2026 error -1 reading relation 209807015
  46. Tue Aug 18 23:05:23 2026 error -1 reading relation 212022996
  47. Tue Aug 18 23:05:24 2026 error -1 reading relation 212098681
  48. Tue Aug 18 23:05:24 2026 error -1 reading relation 212353378
  49. Tue Aug 18 23:05:31 2026 error -1 reading relation 215452549
  50. Tue Aug 18 23:06:21 2026 error -1 reading relation 240583391
  51. Tue Aug 18 23:06:33 2026 error -1 reading relation 246577577
  52. Tue Aug 18 23:06:54 2026 error -1 reading relation 256859308
  53. Tue Aug 18 23:06:55 2026 error -1 reading relation 257795095
  54. Tue Aug 18 23:06:57 2026 error -1 reading relation 258430636
  55. Tue Aug 18 23:07:53 2026 error -1 reading relation 286938066
  56. Tue Aug 18 23:08:07 2026 error -1 reading relation 294297335
  57. Tue Aug 18 23:08:13 2026 error -1 reading relation 297492156
  58. Tue Aug 18 23:08:18 2026 error -1 reading relation 300209730
  59. Tue Aug 18 23:08:18 2026 error -1 reading relation 300227343
  60. Tue Aug 18 23:08:22 2026 error -1 reading relation 302631860
  61. Tue Aug 18 23:08:23 2026 error -1 reading relation 302970808
  62. Tue Aug 18 23:08:32 2026 error -1 reading relation 307976269
  63. Tue Aug 18 23:08:33 2026 error -1 reading relation 308584748
  64. Tue Aug 18 23:08:46 2026 error -1 reading relation 315307345
  65. Tue Aug 18 23:08:47 2026 error -1 reading relation 315704803
  66. Tue Aug 18 23:08:47 2026 error -1 reading relation 315918700
  67. Tue Aug 18 23:08:49 2026 error -1 reading relation 316740670
  68. Tue Aug 18 23:09:01 2026 error -1 reading relation 322917768
  69. Tue Aug 18 23:09:02 2026 error -1 reading relation 323339566
  70. Tue Aug 18 23:09:06 2026 skipped 1 relations with composite factors
  71. Tue Aug 18 23:09:06 2026 skipped 472 malformed relations
  72. Tue Aug 18 23:09:06 2026 found 61614749 hash collisions in 325226052 relations
  73. Tue Aug 18 23:09:13 2026 added 1219887 free relations
  74. Tue Aug 18 23:09:13 2026 commencing duplicate removal, pass 2
  75. Tue Aug 18 23:12:32 2026 found 62335872 duplicates and 264110067 unique relations
  76. Tue Aug 18 23:12:32 2026 memory use: 1705.5 MB
  77. Tue Aug 18 23:12:33 2026 reading ideals above 720000
  78. Tue Aug 18 23:12:33 2026 commencing singleton removal, initial pass
  79. Tue Aug 18 23:35:31 2026 memory use: 6024.0 MB
  80. Tue Aug 18 23:35:31 2026 reading all ideals from disk
  81. Tue Aug 18 23:36:13 2026 memory use: 12519.5 MB
  82. Tue Aug 18 23:36:41 2026 keeping 245789130 ideals with weight <= 200, target excess is 1303105
  83. Tue Aug 18 23:37:14 2026 commencing in-memory singleton removal
  84. Tue Aug 18 23:37:20 2026 begin with 264110067 relations and 245789130 unique ideals
  85. Tue Aug 18 23:38:09 2026 reduce to 162627488 relations and 133428429 ideals in 15 passes
  86. Tue Aug 18 23:38:09 2026 max relations containing the same ideal: 155
  87. Tue Aug 18 23:39:25 2026 removing 12411368 relations and 10411368 ideals in 2000000 cliques
  88. Tue Aug 18 23:39:29 2026 commencing in-memory singleton removal
  89. Tue Aug 18 23:39:32 2026 begin with 150216120 relations and 133428429 unique ideals
  90. Tue Aug 18 23:39:54 2026 reduce to 149446972 relations and 122235228 ideals in 9 passes
  91. Tue Aug 18 23:39:54 2026 max relations containing the same ideal: 146
  92. Tue Aug 18 23:41:10 2026 removing 9418395 relations and 7418395 ideals in 2000000 cliques
  93. Tue Aug 18 23:41:14 2026 commencing in-memory singleton removal
  94. Tue Aug 18 23:41:17 2026 begin with 140028577 relations and 122235228 unique ideals
  95. Tue Aug 18 23:41:37 2026 reduce to 139528659 relations and 114309717 ideals in 9 passes
  96. Tue Aug 18 23:41:37 2026 max relations containing the same ideal: 142
  97. Tue Aug 18 23:42:42 2026 removing 8498016 relations and 6498016 ideals in 2000000 cliques
  98. Tue Aug 18 23:42:46 2026 commencing in-memory singleton removal
  99. Tue Aug 18 23:42:49 2026 begin with 131030643 relations and 114309717 unique ideals
  100. Tue Aug 18 23:43:06 2026 reduce to 130593557 relations and 107368382 ideals in 9 passes
  101. Tue Aug 18 23:43:06 2026 max relations containing the same ideal: 139
  102. Tue Aug 18 23:44:02 2026 removing 8018945 relations and 6018945 ideals in 2000000 cliques
  103. Tue Aug 18 23:44:04 2026 commencing in-memory singleton removal
  104. Tue Aug 18 23:44:07 2026 begin with 122574612 relations and 107368382 unique ideals
  105. Tue Aug 18 23:44:19 2026 reduce to 122162808 relations and 100931558 ideals in 7 passes
  106. Tue Aug 18 23:44:19 2026 max relations containing the same ideal: 131
  107. Tue Aug 18 23:45:10 2026 removing 7714756 relations and 5714756 ideals in 2000000 cliques
  108. Tue Aug 18 23:45:13 2026 commencing in-memory singleton removal
  109. Tue Aug 18 23:45:15 2026 begin with 114448052 relations and 100931558 unique ideals
  110. Tue Aug 18 23:45:26 2026 reduce to 114047056 relations and 94809665 ideals in 7 passes
  111. Tue Aug 18 23:45:26 2026 max relations containing the same ideal: 128
  112. Tue Aug 18 23:46:16 2026 removing 7517934 relations and 5517934 ideals in 2000000 cliques
  113. Tue Aug 18 23:46:19 2026 commencing in-memory singleton removal
  114. Tue Aug 18 23:46:21 2026 begin with 106529122 relations and 94809665 unique ideals
  115. Tue Aug 18 23:46:32 2026 reduce to 106128280 relations and 88884329 ideals in 7 passes
  116. Tue Aug 18 23:46:32 2026 max relations containing the same ideal: 119
  117. Tue Aug 18 23:47:19 2026 removing 7381430 relations and 5381430 ideals in 2000000 cliques
  118. Tue Aug 18 23:47:22 2026 commencing in-memory singleton removal
  119. Tue Aug 18 23:47:24 2026 begin with 98746850 relations and 88884329 unique ideals
  120. Tue Aug 18 23:47:34 2026 reduce to 98340285 relations and 83089557 ideals in 7 passes
  121. Tue Aug 18 23:47:34 2026 max relations containing the same ideal: 113
  122. Tue Aug 18 23:48:18 2026 removing 7278258 relations and 5278258 ideals in 2000000 cliques
  123. Tue Aug 18 23:48:21 2026 commencing in-memory singleton removal
  124. Tue Aug 18 23:48:23 2026 begin with 91062027 relations and 83089557 unique ideals
  125. Tue Aug 18 23:48:33 2026 reduce to 90641279 relations and 77382887 ideals in 8 passes
  126. Tue Aug 18 23:48:33 2026 max relations containing the same ideal: 107
  127. Tue Aug 18 23:49:16 2026 removing 7216332 relations and 5216332 ideals in 2000000 cliques
  128. Tue Aug 18 23:49:19 2026 commencing in-memory singleton removal
  129. Tue Aug 18 23:49:20 2026 begin with 83424947 relations and 77382887 unique ideals
  130. Tue Aug 18 23:49:32 2026 reduce to 82984916 relations and 71717791 ideals in 7 passes
  131. Tue Aug 18 23:49:32 2026 max relations containing the same ideal: 101
  132. Tue Aug 18 23:50:15 2026 removing 7172253 relations and 5172253 ideals in 2000000 cliques
  133. Tue Aug 18 23:50:18 2026 commencing in-memory singleton removal
  134. Tue Aug 18 23:50:19 2026 begin with 75812663 relations and 71717791 unique ideals
  135. Tue Aug 18 23:50:29 2026 reduce to 75342775 relations and 66065582 ideals in 9 passes
  136. Tue Aug 18 23:50:29 2026 max relations containing the same ideal: 97
  137. Tue Aug 18 23:51:04 2026 removing 7154581 relations and 5154581 ideals in 2000000 cliques
  138. Tue Aug 18 23:51:07 2026 commencing in-memory singleton removal
  139. Tue Aug 18 23:51:08 2026 begin with 68188194 relations and 66065582 unique ideals
  140. Tue Aug 18 23:51:14 2026 reduce to 67683563 relations and 60394678 ideals in 7 passes
  141. Tue Aug 18 23:51:14 2026 max relations containing the same ideal: 88
  142. Tue Aug 18 23:51:45 2026 removing 7149928 relations and 5149928 ideals in 2000000 cliques
  143. Tue Aug 18 23:51:47 2026 commencing in-memory singleton removal
  144. Tue Aug 18 23:51:48 2026 begin with 60533635 relations and 60394678 unique ideals
  145. Tue Aug 18 23:51:54 2026 reduce to 59978216 relations and 54675124 ideals in 8 passes
  146. Tue Aug 18 23:51:54 2026 max relations containing the same ideal: 82
  147. Tue Aug 18 23:52:22 2026 removing 7154414 relations and 5154414 ideals in 2000000 cliques
  148. Tue Aug 18 23:52:24 2026 commencing in-memory singleton removal
  149. Tue Aug 18 23:52:25 2026 begin with 52823802 relations and 54675124 unique ideals
  150. Tue Aug 18 23:52:30 2026 reduce to 52203672 relations and 48882614 ideals in 8 passes
  151. Tue Aug 18 23:52:30 2026 max relations containing the same ideal: 75
  152. Tue Aug 18 23:52:55 2026 removing 6617721 relations and 4808265 ideals in 1809456 cliques
  153. Tue Aug 18 23:52:57 2026 commencing in-memory singleton removal
  154. Tue Aug 18 23:52:58 2026 begin with 45585951 relations and 48882614 unique ideals
  155. Tue Aug 18 23:53:02 2026 reduce to 44976844 relations and 43446915 ideals in 9 passes
  156. Tue Aug 18 23:53:02 2026 max relations containing the same ideal: 70
  157. Tue Aug 18 23:53:25 2026 removing 142852 relations and 124525 ideals in 18327 cliques
  158. Tue Aug 18 23:53:26 2026 commencing in-memory singleton removal
  159. Tue Aug 18 23:53:26 2026 begin with 44833992 relations and 43446915 unique ideals
  160. Tue Aug 18 23:53:29 2026 reduce to 44833778 relations and 43322176 ideals in 4 passes
  161. Tue Aug 18 23:53:29 2026 max relations containing the same ideal: 70
  162. Tue Aug 18 23:53:30 2026 trying target density 90
  163. Tue Aug 18 23:53:33 2026 relations with 0 large ideals: 49577
  164. Tue Aug 18 23:53:33 2026 relations with 1 large ideals: 37798
  165. Tue Aug 18 23:53:33 2026 relations with 2 large ideals: 451395
  166. Tue Aug 18 23:53:33 2026 relations with 3 large ideals: 2416904
  167. Tue Aug 18 23:53:33 2026 relations with 4 large ideals: 6881292
  168. Tue Aug 18 23:53:33 2026 relations with 5 large ideals: 11484184
  169. Tue Aug 18 23:53:33 2026 relations with 6 large ideals: 11717722
  170. Tue Aug 18 23:53:33 2026 relations with 7+ large ideals: 11794906
  171. Tue Aug 18 23:53:33 2026 commencing 2-way merge
  172. Tue Aug 18 23:54:03 2026 reduce to 29047915 relation sets and 27536313 unique ideals
  173. Tue Aug 18 23:54:03 2026 commencing full merge
  174. Wed Aug 19 00:05:22 2026 memory use: 3436.4 MB
  175. Wed Aug 19 00:05:26 2026 found 14286759 cycles, need 14092513
  176. Wed Aug 19 00:05:32 2026 weight of 14092513 cycles is about 1268780910 (90.03/cycle)
  177. Wed Aug 19 00:05:32 2026 distribution of cycle lengths:
  178. Wed Aug 19 00:05:32 2026 1 relations: 1016146
  179. Wed Aug 19 00:05:32 2026 2 relations: 1258513
  180. Wed Aug 19 00:05:32 2026 3 relations: 1354761
  181. Wed Aug 19 00:05:32 2026 4 relations: 1319826
  182. Wed Aug 19 00:05:32 2026 5 relations: 1287592
  183. Wed Aug 19 00:05:32 2026 6 relations: 1211730
  184. Wed Aug 19 00:05:32 2026 7 relations: 1130959
  185. Wed Aug 19 00:05:32 2026 8 relations: 1019094
  186. Wed Aug 19 00:05:32 2026 9 relations: 898722
  187. Wed Aug 19 00:05:32 2026 10+ relations: 3595170
  188. Wed Aug 19 00:05:32 2026 heaviest cycle: 24 relations
  189. Wed Aug 19 00:05:35 2026 commencing cycle optimization
  190. Wed Aug 19 00:06:09 2026 start with 96916575 relations
  191. Wed Aug 19 00:09:58 2026 pruned 3303994 relations
  192. Wed Aug 19 00:10:00 2026 memory use: 2847.8 MB
  193. Wed Aug 19 00:10:01 2026 distribution of cycle lengths:
  194. Wed Aug 19 00:10:01 2026 1 relations: 1016146
  195. Wed Aug 19 00:10:01 2026 2 relations: 1286315
  196. Wed Aug 19 00:10:01 2026 3 relations: 1407569
  197. Wed Aug 19 00:10:01 2026 4 relations: 1365930
  198. Wed Aug 19 00:10:01 2026 5 relations: 1340402
  199. Wed Aug 19 00:10:01 2026 6 relations: 1254975
  200. Wed Aug 19 00:10:01 2026 7 relations: 1169195
  201. Wed Aug 19 00:10:01 2026 8 relations: 1044768
  202. Wed Aug 19 00:10:01 2026 9 relations: 913855
  203. Wed Aug 19 00:10:01 2026 10+ relations: 3293358
  204. Wed Aug 19 00:10:01 2026 heaviest cycle: 23 relations
  205. Wed Aug 19 00:10:35 2026 trying target density 110
  206. Wed Aug 19 00:10:39 2026 relations with 0 large ideals: 49577
  207. Wed Aug 19 00:10:39 2026 relations with 1 large ideals: 37798
  208. Wed Aug 19 00:10:39 2026 relations with 2 large ideals: 451395
  209. Wed Aug 19 00:10:39 2026 relations with 3 large ideals: 2416904
  210. Wed Aug 19 00:10:39 2026 relations with 4 large ideals: 6881292
  211. Wed Aug 19 00:10:39 2026 relations with 5 large ideals: 11484184
  212. Wed Aug 19 00:10:39 2026 relations with 6 large ideals: 11717722
  213. Wed Aug 19 00:10:39 2026 relations with 7+ large ideals: 11794906
  214. Wed Aug 19 00:10:39 2026 commencing 2-way merge
  215. Wed Aug 19 00:11:07 2026 reduce to 29047915 relation sets and 27536313 unique ideals
  216. Wed Aug 19 00:11:07 2026 commencing full merge
  217. Wed Aug 19 00:23:49 2026 memory use: 3520.4 MB
  218. Wed Aug 19 00:23:54 2026 found 13339774 cycles, need 13210513
  219. Wed Aug 19 00:23:59 2026 weight of 13210513 cycles is about 1453176671 (110.00/cycle)
  220. Wed Aug 19 00:23:59 2026 distribution of cycle lengths:
  221. Wed Aug 19 00:23:59 2026 1 relations: 653929
  222. Wed Aug 19 00:23:59 2026 2 relations: 895828
  223. Wed Aug 19 00:23:59 2026 3 relations: 1014624
  224. Wed Aug 19 00:23:59 2026 4 relations: 1029802
  225. Wed Aug 19 00:23:59 2026 5 relations: 1029864
  226. Wed Aug 19 00:23:59 2026 6 relations: 1000005
  227. Wed Aug 19 00:23:59 2026 7 relations: 964918
  228. Wed Aug 19 00:23:59 2026 8 relations: 909971
  229. Wed Aug 19 00:23:59 2026 9 relations: 845870
  230. Wed Aug 19 00:23:59 2026 10+ relations: 4865702
  231. Wed Aug 19 00:23:59 2026 heaviest cycle: 28 relations
  232. Wed Aug 19 00:24:01 2026 commencing cycle optimization
  233. Wed Aug 19 00:24:35 2026 start with 110839541 relations
  234. Wed Aug 19 00:29:24 2026 pruned 4659209 relations
  235. Wed Aug 19 00:29:24 2026 memory use: 2990.5 MB
  236. Wed Aug 19 00:29:24 2026 distribution of cycle lengths:
  237. Wed Aug 19 00:29:24 2026 1 relations: 653929
  238. Wed Aug 19 00:29:24 2026 2 relations: 917339
  239. Wed Aug 19 00:29:24 2026 3 relations: 1056741
  240. Wed Aug 19 00:29:24 2026 4 relations: 1071498
  241. Wed Aug 19 00:29:24 2026 5 relations: 1079109
  242. Wed Aug 19 00:29:24 2026 6 relations: 1045296
  243. Wed Aug 19 00:29:24 2026 7 relations: 1009357
  244. Wed Aug 19 00:29:24 2026 8 relations: 947680
  245. Wed Aug 19 00:29:24 2026 9 relations: 878076
  246. Wed Aug 19 00:29:24 2026 10+ relations: 4551488
  247. Wed Aug 19 00:29:24 2026 heaviest cycle: 28 relations
  248. Wed Aug 19 00:29:52 2026 trying target density 130
  249. Wed Aug 19 00:29:55 2026 relations with 0 large ideals: 49577
  250. Wed Aug 19 00:29:55 2026 relations with 1 large ideals: 37798
  251. Wed Aug 19 00:29:55 2026 relations with 2 large ideals: 451395
  252. Wed Aug 19 00:29:55 2026 relations with 3 large ideals: 2416904
  253. Wed Aug 19 00:29:55 2026 relations with 4 large ideals: 6881292
  254. Wed Aug 19 00:29:55 2026 relations with 5 large ideals: 11484184
  255. Wed Aug 19 00:29:55 2026 relations with 6 large ideals: 11717722
  256. Wed Aug 19 00:29:55 2026 relations with 7+ large ideals: 11794906
  257. Wed Aug 19 00:29:55 2026 commencing 2-way merge
  258. Wed Aug 19 00:30:21 2026 reduce to 29047915 relation sets and 27536313 unique ideals
  259. Wed Aug 19 00:30:21 2026 commencing full merge
  260. Wed Aug 19 00:54:05 2026 memory use: 1285.7 MB
  261. Wed Aug 19 00:54:05 2026 found 109590 cycles, need 6523305
  262. Wed Aug 19 00:54:05 2026 too few cycles, matrix probably cannot build
  263. Wed Aug 19 00:54:08 2026 RelProcTime: 7078
  264. Wed Aug 19 00:54:08 2026
  265. Wed Aug 19 00:54:08 2026 commencing linear algebra
  266. Wed Aug 19 00:54:08 2026 using VBITS=256
  267. Wed Aug 19 00:54:08 2026 building matrices for all densities
  268. Wed Aug 19 00:54:08 2026 found 2 density files
  269. Wed Aug 19 00:54:08 2026 building matrix for density 90
  270. Wed Aug 19 00:54:11 2026 read 14092513 cycles
  271. Wed Aug 19 00:54:34 2026 cycles contain 43947312 unique relations
  272. Wed Aug 19 01:05:23 2026 read 43947312 relations
  273. Wed Aug 19 01:05:36 2026 using 20 quadratic characters above 4294917295
  274. Wed Aug 19 01:05:55 2026 building initial matrix
  275. Wed Aug 19 01:14:36 2026 memory use: 5833.9 MB
  276. Wed Aug 19 01:14:42 2026 read 14092513 cycles
  277. Wed Aug 19 01:14:44 2026 matrix is 14092333 x 14092513 (5208.4 MB) with weight 1575650289 (111.81/col)
  278. Wed Aug 19 01:14:44 2026 sparse part has weight 1210320768 (85.88/col)
  279. Wed Aug 19 01:16:32 2026 filtering completed in 2 passes
  280. Wed Aug 19 01:16:36 2026 matrix is 14089667 x 14089841 (5208.1 MB) with weight 1575544354 (111.82/col)
  281. Wed Aug 19 01:16:36 2026 sparse part has weight 1210284684 (85.90/col)
  282. Wed Aug 19 01:17:07 2026 building matrix for density 110
  283. Wed Aug 19 01:17:08 2026 read 13210513 cycles
  284. Wed Aug 19 01:17:31 2026 cycles contain 43957330 unique relations
  285. Wed Aug 19 01:18:49 2026 read 43957330 relations
  286. Wed Aug 19 01:19:01 2026 using 20 quadratic characters above 4294917295
  287. Wed Aug 19 01:19:19 2026 building initial matrix
  288. Wed Aug 19 01:29:14 2026 memory use: 5824.0 MB
  289. Wed Aug 19 01:29:21 2026 read 13210513 cycles
  290. Wed Aug 19 01:29:23 2026 matrix is 13210333 x 13210513 (5769.1 MB) with weight 1728957428 (130.88/col)
  291. Wed Aug 19 01:29:23 2026 sparse part has weight 1367006231 (103.48/col)
  292. Wed Aug 19 01:31:24 2026 filtering completed in 2 passes
  293. Wed Aug 19 01:31:28 2026 matrix is 13209297 x 13209471 (5768.9 MB) with weight 1728909241 (130.88/col)
  294. Wed Aug 19 01:31:28 2026 sparse part has weight 1366987913 (103.49/col)
  295. Wed Aug 19 01:32:03 2026 BLanczosTime: 2275
  296. Wed Aug 19 01:32:03 2026 elapsed time 02:35:54
  297. Wed Aug 19 14:50:51 2026
  298. Wed Aug 19 14:50:51 2026
  299. Wed Aug 19 14:50:51 2026 Msieve v. 1.54 (SVN unknown)
  300. Wed Aug 19 14:50:51 2026 random seeds: cc9da821 6c371452
  301. Wed Aug 19 14:50:51 2026 factoring 16927047838339959408530715434681405878975293233899066770634740636212113962770657791935140867585210005574393867951701260385029785312088058630464046904723787603782890935531959689556801338007206615562803018835198254338886342771 (224 digits)
  302. Wed Aug 19 14:50:52 2026 no P-1/P+1/ECM available, skipping
  303. Wed Aug 19 14:50:52 2026 commencing number field sieve (224-digit input)
  304. Wed Aug 19 14:50:52 2026 R0: 1
  305. Wed Aug 19 14:50:52 2026 R1: -16023726991133178904286583443311879009
  306. Wed Aug 19 14:50:52 2026 A0: -2521087073569
  307. Wed Aug 19 14:50:52 2026 A1: 0
  308. Wed Aug 19 14:50:52 2026 A2: 0
  309. Wed Aug 19 14:50:52 2026 A3: 0
  310. Wed Aug 19 14:50:52 2026 A4: 0
  311. Wed Aug 19 14:50:52 2026 A5: 0
  312. Wed Aug 19 14:50:52 2026 A6: 1
  313. Wed Aug 19 14:50:52 2026 skew 91.77, size 2.086e-12, alpha -3.009, combined = 2.145e-13 rroots = 2
  314. Wed Aug 19 14:50:52 2026
  315. Wed Aug 19 14:50:52 2026 commencing linear algebra
  316. Wed Aug 19 14:50:52 2026 using VBITS=256
  317. Wed Aug 19 14:50:52 2026 skipping matrix build
  318. Wed Aug 19 14:50:59 2026 matrix starts at (0, 0)
  319. Wed Aug 19 14:51:02 2026 matrix is 13209297 x 13209471 (5768.9 MB) with weight 1728909241 (130.88/col)
  320. Wed Aug 19 14:51:02 2026 sparse part has weight 1366987913 (103.49/col)
  321. Wed Aug 19 14:51:02 2026 saving the first 240 matrix rows for later
  322. Wed Aug 19 14:51:11 2026 matrix includes 256 packed rows
  323. Wed Aug 19 14:51:18 2026 matrix is 13209057 x 13209471 (5358.3 MB) with weight 1259521741 (95.35/col)
  324. Wed Aug 19 14:51:18 2026 sparse part has weight 1193285110 (90.34/col)
  325. Wed Aug 19 14:51:19 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  326. Wed Aug 19 14:51:19 2026 selected card has CUDA arch 12.0
  327. Wed Aug 19 14:51:20 2026 computed block_nnz 142085568 (L2 cache 100663296 bytes, average column weight 90.3)
  328. Wed Aug 19 14:51:20 2026 nonzeros per matrix block: 256000000
  329. Wed Aug 19 14:53:49 2026 commencing Lanczos iteration
  330. Wed Aug 19 14:53:50 2026 memory use: 12832.9 MB
  331. Wed Aug 19 14:54:00 2026 linear algebra at 0.2%, ETA 1h 4m
  332. Wed Aug 19 14:54:14 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions
  333. Wed Aug 19 15:59:53 2026 lanczos halted after 51755 iterations (dim = 13209055)
  334. Wed Aug 19 16:00:49 2026 recovered 30 nontrivial dependencies
  335. Wed Aug 19 16:00:50 2026 BLanczosTime: 4198
  336. Wed Aug 19 16:00:50 2026 elapsed time 01:09:59
  337. Wed Aug 19 12:06:24 2026
  338. Wed Aug 19 12:06:24 2026
  339. Wed Aug 19 12:06:24 2026 Msieve v. 1.54 (SVN unknown)
  340. Wed Aug 19 12:06:24 2026 random seeds: 502b729b 2e61f7f9
  341. Wed Aug 19 12:06:24 2026 Using 8 OpenMP threads
  342. Wed Aug 19 12:06:24 2026 factoring 16927047838339959408530715434681405878975293233899066770634740636212113962770657791935140867585210005574393867951701260385029785312088058630464046904723787603782890935531959689556801338007206615562803018835198254338886342771 (224 digits)
  343. Wed Aug 19 12:06:24 2026 no P-1/P+1/ECM available, skipping
  344. Wed Aug 19 12:06:24 2026 commencing number field sieve (224-digit input)
  345. Wed Aug 19 12:06:24 2026 R0: 1
  346. Wed Aug 19 12:06:24 2026 R1: -16023726991133178904286583443311879009
  347. Wed Aug 19 12:06:24 2026 A0: -2521087073569
  348. Wed Aug 19 12:06:24 2026 A1: 0
  349. Wed Aug 19 12:06:24 2026 A2: 0
  350. Wed Aug 19 12:06:24 2026 A3: 0
  351. Wed Aug 19 12:06:24 2026 A4: 0
  352. Wed Aug 19 12:06:24 2026 A5: 0
  353. Wed Aug 19 12:06:24 2026 A6: 1
  354. Wed Aug 19 12:06:24 2026 skew 91.77, size 2.086e-12, alpha -3.009, combined = 2.145e-13 rroots = 2
  355. Wed Aug 19 12:06:24 2026
  356. Wed Aug 19 12:06:24 2026 commencing square root phase
  357. Wed Aug 19 12:06:24 2026 reading relations for dependency 1
  358. Wed Aug 19 12:06:25 2026 read 6604929 cycles
  359. Wed Aug 19 12:06:33 2026 cycles contain 21977244 unique relations
  360. Wed Aug 19 12:09:29 2026 read 21977244 relations
  361. Wed Aug 19 12:10:37 2026 multiplying 21977244 relations
  362. Wed Aug 19 12:11:57 2026 multiply complete, coefficients have about 627.17 million bits
  363. Wed Aug 19 12:11:58 2026 initial square root is modulo 423463
  364. Wed Aug 19 12:14:26 2026 sqrtTime: 482
  365. Wed Aug 19 12:14:26 2026 p66 factor: 135415293859695949709410054573032152179153928930939099783131668703
  366. Wed Aug 19 12:14:26 2026 p159 factor: 125001005099749713015579240313559302487181602949720301614932626136982144214524710422000884299392474886224538343872500432089634644103155379709253733536165598957
  367. Wed Aug 19 12:14:26 2026 elapsed time 00:08:02
  368.  
Tags: math
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