kyleaskine

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Aug 9th, 2026
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  1. Sat Aug 8 16:19:48 2026
  2. Sat Aug 8 16:19:48 2026
  3. Sat Aug 8 16:19:48 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Aug 8 16:19:48 2026 random seeds: 5df8f5bb 1379c6dd
  5. Sat Aug 8 16:19:48 2026 Using 8 OpenMP threads
  6. Sat Aug 8 16:19:48 2026 factoring 278922648864135785023943095027323320079784317347639920604915570279560368176370535052417995472522162666474725083294141607069456316482320757112258313875404079571796357910024012672830919 (183 digits)
  7. Sat Aug 8 16:19:48 2026 no P-1/P+1/ECM available, skipping
  8. Sat Aug 8 16:19:48 2026 commencing number field sieve (183-digit input)
  9. Sat Aug 8 16:19:48 2026 R0: -398606840155962718088762425523066518
  10. Sat Aug 8 16:19:48 2026 R1: 42988090300628053464361
  11. Sat Aug 8 16:19:48 2026 A0: -58480087141351991008664341581963031904065800
  12. Sat Aug 8 16:19:48 2026 A1: 3684269408731391464636999155137339297
  13. Sat Aug 8 16:19:48 2026 A2: 172520825869268600771011753082
  14. Sat Aug 8 16:19:48 2026 A3: 2171023191024727272393
  15. Sat Aug 8 16:19:48 2026 A4: -39273275989752
  16. Sat Aug 8 16:19:48 2026 A5: 55440
  17. Sat Aug 8 16:19:48 2026 skew 59694517.47, size 9.880e-18, alpha -7.674, combined = 7.103e-14 rroots = 3
  18. Sat Aug 8 16:19:48 2026
  19. Sat Aug 8 16:19:48 2026 commencing relation filtering
  20. Sat Aug 8 16:19:48 2026 setting 3 target densities:Sat Aug 8 16:19:48 2026 90Sat Aug 8 16:19:48 2026 110Sat Aug 8 16:19:48 2026 130Sat Aug 8 16:19:48 2026
  21. Sat Aug 8 16:19:48 2026 estimated available RAM is 78540.1 MB
  22. Sat Aug 8 16:19:48 2026 commencing duplicate removal, pass 1
  23. Sat Aug 8 16:20:22 2026 error -1 reading relation 14599805
  24. Sat Aug 8 16:20:55 2026 error -1 reading relation 30114909
  25. Sat Aug 8 16:21:06 2026 error -15 reading relation 35054638
  26. Sat Aug 8 16:21:16 2026 error -1 reading relation 40270871
  27. Sat Aug 8 16:22:09 2026 error -1 reading relation 65962868
  28. Sat Aug 8 16:22:11 2026 error -1 reading relation 66763116
  29. Sat Aug 8 16:22:12 2026 error -1 reading relation 68324779
  30. Sat Aug 8 16:22:20 2026 error -1 reading relation 71143163
  31. Sat Aug 8 16:22:53 2026 error -1 reading relation 85628130
  32. Sat Aug 8 16:23:08 2026 error -1 reading relation 92786734
  33. Sat Aug 8 16:23:08 2026 error -1 reading relation 92786735
  34. Sat Aug 8 16:23:13 2026 error -1 reading relation 96420312
  35. Sat Aug 8 16:23:15 2026 error -1 reading relation 97548200
  36. Sat Aug 8 16:23:38 2026 error -1 reading relation 107663893
  37. Sat Aug 8 16:23:44 2026 error -1 reading relation 111569926
  38. Sat Aug 8 16:23:46 2026 error -1 reading relation 112340736
  39. Sat Aug 8 16:24:08 2026 error -1 reading relation 122891703
  40. Sat Aug 8 16:24:15 2026 error -1 reading relation 127189005
  41. Sat Aug 8 16:24:15 2026 error -1 reading relation 127232693
  42. Sat Aug 8 16:24:15 2026 error -1 reading relation 127454914
  43. Sat Aug 8 16:24:44 2026 error -15 reading relation 140790377
  44. Sat Aug 8 16:24:56 2026 error -1 reading relation 147209233
  45. Sat Aug 8 16:25:13 2026 error -1 reading relation 155361362
  46. Sat Aug 8 16:25:21 2026 error -1 reading relation 160319510
  47. Sat Aug 8 16:25:24 2026 error -1 reading relation 161302581
  48. Sat Aug 8 16:25:43 2026 error -1 reading relation 169617913
  49. Sat Aug 8 16:25:44 2026 error -1 reading relation 170099561
  50. Sat Aug 8 16:25:52 2026 error -1 reading relation 175166520
  51. Sat Aug 8 16:25:53 2026 error -1 reading relation 175601881
  52. Sat Aug 8 16:26:01 2026 error -1 reading relation 178880131
  53. Sat Aug 8 16:26:40 2026 error -1 reading relation 197858500
  54. Sat Aug 8 16:26:45 2026 error -1 reading relation 201110823
  55. Sat Aug 8 16:27:16 2026 error -1 reading relation 215103625
  56. Sat Aug 8 16:27:37 2026 error -1 reading relation 225883969
  57. Sat Aug 8 16:28:11 2026 error -1 reading relation 242441352
  58. Sat Aug 8 16:28:26 2026 error -1 reading relation 250281588
  59. Sat Aug 8 16:28:45 2026 error -1 reading relation 260253016
  60. Sat Aug 8 16:28:47 2026 error -1 reading relation 260854519
  61. Sat Aug 8 16:28:55 2026 error -1 reading relation 264634060
  62. Sat Aug 8 16:28:56 2026 error -1 reading relation 264870651
  63. Sat Aug 8 16:30:22 2026 error -1 reading relation 307637561
  64. Sat Aug 8 16:30:43 2026 error -1 reading relation 316887527
  65. Sat Aug 8 16:30:50 2026 error -1 reading relation 320954774
  66. Sat Aug 8 16:30:57 2026 error -1 reading relation 324545477
  67. Sat Aug 8 16:30:58 2026 error -1 reading relation 324728414
  68. Sat Aug 8 16:31:17 2026 error -1 reading relation 333454778
  69. Sat Aug 8 16:31:35 2026 error -1 reading relation 341865496
  70. Sat Aug 8 16:31:36 2026 skipped 2 relations with composite factors
  71. Sat Aug 8 16:31:36 2026 skipped 236 malformed relations
  72. Sat Aug 8 16:31:36 2026 found 72131989 hash collisions in 342348128 relations
  73. Sat Aug 8 16:31:49 2026 added 121479 free relations
  74. Sat Aug 8 16:31:49 2026 commencing duplicate removal, pass 2
  75. Sat Aug 8 16:35:32 2026 found 76660800 duplicates and 265808807 unique relations
  76. Sat Aug 8 16:35:32 2026 memory use: 1705.5 MB
  77. Sat Aug 8 16:35:32 2026 reading ideals above 720000
  78. Sat Aug 8 16:35:32 2026 commencing singleton removal, initial pass
  79. Sat Aug 8 17:02:23 2026 memory use: 6024.0 MB
  80. Sat Aug 8 17:02:24 2026 reading all ideals from disk
  81. Sat Aug 8 17:02:51 2026 memory use: 12987.3 MB
  82. Sat Aug 8 17:03:22 2026 keeping 248733848 ideals with weight <= 200, target excess is 1394502
  83. Sat Aug 8 17:03:50 2026 commencing in-memory singleton removal
  84. Sat Aug 8 17:03:56 2026 begin with 265808807 relations and 248733848 unique ideals
  85. Sat Aug 8 17:04:34 2026 reduce to 166772010 relations and 139652378 ideals in 14 passes
  86. Sat Aug 8 17:04:34 2026 max relations containing the same ideal: 153
  87. Sat Aug 8 17:05:47 2026 removing 12012552 relations and 10012552 ideals in 2000000 cliques
  88. Sat Aug 8 17:05:51 2026 commencing in-memory singleton removal
  89. Sat Aug 8 17:05:54 2026 begin with 154759458 relations and 139652378 unique ideals
  90. Sat Aug 8 17:06:15 2026 reduce to 154093828 relations and 128964006 ideals in 9 passes
  91. Sat Aug 8 17:06:15 2026 max relations containing the same ideal: 145
  92. Sat Aug 8 17:07:21 2026 removing 9227835 relations and 7227835 ideals in 2000000 cliques
  93. Sat Aug 8 17:07:25 2026 commencing in-memory singleton removal
  94. Sat Aug 8 17:07:28 2026 begin with 144865993 relations and 128964006 unique ideals
  95. Sat Aug 8 17:07:43 2026 reduce to 144416362 relations and 121280576 ideals in 8 passes
  96. Sat Aug 8 17:07:43 2026 max relations containing the same ideal: 140
  97. Sat Aug 8 17:08:46 2026 removing 8384166 relations and 6384166 ideals in 2000000 cliques
  98. Sat Aug 8 17:08:49 2026 commencing in-memory singleton removal
  99. Sat Aug 8 17:08:52 2026 begin with 136032196 relations and 121280576 unique ideals
  100. Sat Aug 8 17:09:07 2026 reduce to 135630096 relations and 114488932 ideals in 8 passes
  101. Sat Aug 8 17:09:07 2026 max relations containing the same ideal: 134
  102. Sat Aug 8 17:10:05 2026 removing 7955096 relations and 5955096 ideals in 2000000 cliques
  103. Sat Aug 8 17:10:09 2026 commencing in-memory singleton removal
  104. Sat Aug 8 17:10:11 2026 begin with 127675000 relations and 114488932 unique ideals
  105. Sat Aug 8 17:10:25 2026 reduce to 127291408 relations and 108145002 ideals in 7 passes
  106. Sat Aug 8 17:10:25 2026 max relations containing the same ideal: 131
  107. Sat Aug 8 17:11:21 2026 removing 7699090 relations and 5699090 ideals in 2000000 cliques
  108. Sat Aug 8 17:11:24 2026 commencing in-memory singleton removal
  109. Sat Aug 8 17:11:26 2026 begin with 119592318 relations and 108145002 unique ideals
  110. Sat Aug 8 17:11:37 2026 reduce to 119208922 relations and 102057163 ideals in 7 passes
  111. Sat Aug 8 17:11:37 2026 max relations containing the same ideal: 128
  112. Sat Aug 8 17:12:30 2026 removing 7542356 relations and 5542356 ideals in 2000000 cliques
  113. Sat Aug 8 17:12:33 2026 commencing in-memory singleton removal
  114. Sat Aug 8 17:12:35 2026 begin with 111666566 relations and 102057163 unique ideals
  115. Sat Aug 8 17:12:48 2026 reduce to 111276515 relations and 96118907 ideals in 7 passes
  116. Sat Aug 8 17:12:48 2026 max relations containing the same ideal: 119
  117. Sat Aug 8 17:13:36 2026 removing 7448190 relations and 5448190 ideals in 2000000 cliques
  118. Sat Aug 8 17:13:39 2026 commencing in-memory singleton removal
  119. Sat Aug 8 17:13:41 2026 begin with 103828325 relations and 96118907 unique ideals
  120. Sat Aug 8 17:13:54 2026 reduce to 103423457 relations and 90259420 ideals in 8 passes
  121. Sat Aug 8 17:13:54 2026 max relations containing the same ideal: 114
  122. Sat Aug 8 17:14:39 2026 removing 7401686 relations and 5401686 ideals in 2000000 cliques
  123. Sat Aug 8 17:14:42 2026 commencing in-memory singleton removal
  124. Sat Aug 8 17:14:44 2026 begin with 96021771 relations and 90259420 unique ideals
  125. Sat Aug 8 17:14:54 2026 reduce to 95591833 relations and 84420615 ideals in 7 passes
  126. Sat Aug 8 17:14:54 2026 max relations containing the same ideal: 107
  127. Sat Aug 8 17:15:37 2026 removing 7396613 relations and 5396613 ideals in 2000000 cliques
  128. Sat Aug 8 17:15:39 2026 commencing in-memory singleton removal
  129. Sat Aug 8 17:15:41 2026 begin with 88195220 relations and 84420615 unique ideals
  130. Sat Aug 8 17:15:52 2026 reduce to 87735384 relations and 78555961 ideals in 8 passes
  131. Sat Aug 8 17:15:52 2026 max relations containing the same ideal: 101
  132. Sat Aug 8 17:16:31 2026 removing 7421440 relations and 5421440 ideals in 2000000 cliques
  133. Sat Aug 8 17:16:33 2026 commencing in-memory singleton removal
  134. Sat Aug 8 17:16:35 2026 begin with 80313944 relations and 78555961 unique ideals
  135. Sat Aug 8 17:16:44 2026 reduce to 79809097 relations and 72619787 ideals in 8 passes
  136. Sat Aug 8 17:16:44 2026 max relations containing the same ideal: 93
  137. Sat Aug 8 17:17:21 2026 removing 7483270 relations and 5483270 ideals in 2000000 cliques
  138. Sat Aug 8 17:17:24 2026 commencing in-memory singleton removal
  139. Sat Aug 8 17:17:25 2026 begin with 72325827 relations and 72619787 unique ideals
  140. Sat Aug 8 17:17:33 2026 reduce to 71764379 relations and 66562853 ideals in 9 passes
  141. Sat Aug 8 17:17:33 2026 max relations containing the same ideal: 88
  142. Sat Aug 8 17:18:06 2026 removing 7574009 relations and 5574009 ideals in 2000000 cliques
  143. Sat Aug 8 17:18:09 2026 commencing in-memory singleton removal
  144. Sat Aug 8 17:18:10 2026 begin with 64190370 relations and 66562853 unique ideals
  145. Sat Aug 8 17:18:18 2026 reduce to 63548353 relations and 60331362 ideals in 8 passes
  146. Sat Aug 8 17:18:18 2026 max relations containing the same ideal: 81
  147. Sat Aug 8 17:18:48 2026 removing 6452525 relations and 4853157 ideals in 1599368 cliques
  148. Sat Aug 8 17:18:50 2026 commencing in-memory singleton removal
  149. Sat Aug 8 17:18:51 2026 begin with 57095828 relations and 60331362 unique ideals
  150. Sat Aug 8 17:18:58 2026 reduce to 56579696 relations and 54950899 ideals in 8 passes
  151. Sat Aug 8 17:18:58 2026 max relations containing the same ideal: 75
  152. Sat Aug 8 17:19:24 2026 removing 97231 relations and 86057 ideals in 11174 cliques
  153. Sat Aug 8 17:19:26 2026 commencing in-memory singleton removal
  154. Sat Aug 8 17:19:27 2026 begin with 56482465 relations and 54950899 unique ideals
  155. Sat Aug 8 17:19:30 2026 reduce to 56482391 relations and 54864768 ideals in 4 passes
  156. Sat Aug 8 17:19:30 2026 max relations containing the same ideal: 75
  157. Sat Aug 8 17:19:31 2026 trying target density 90
  158. Sat Aug 8 17:19:34 2026 relations with 0 large ideals: 5187
  159. Sat Aug 8 17:19:34 2026 relations with 1 large ideals: 24774
  160. Sat Aug 8 17:19:34 2026 relations with 2 large ideals: 354736
  161. Sat Aug 8 17:19:34 2026 relations with 3 large ideals: 2130887
  162. Sat Aug 8 17:19:34 2026 relations with 4 large ideals: 6876058
  163. Sat Aug 8 17:19:34 2026 relations with 5 large ideals: 13143022
  164. Sat Aug 8 17:19:34 2026 relations with 6 large ideals: 15585931
  165. Sat Aug 8 17:19:34 2026 relations with 7+ large ideals: 18361796
  166. Sat Aug 8 17:19:34 2026 commencing 2-way merge
  167. Sat Aug 8 17:20:11 2026 reduce to 35655892 relation sets and 34038269 unique ideals
  168. Sat Aug 8 17:20:11 2026 commencing full merge
  169. Sat Aug 8 17:31:30 2026 memory use: 4090.0 MB
  170. Sat Aug 8 17:31:35 2026 found 17830078 cycles, need 17612469
  171. Sat Aug 8 17:31:40 2026 weight of 17612469 cycles is about 1585203738 (90.00/cycle)
  172. Sat Aug 8 17:31:40 2026 distribution of cycle lengths:
  173. Sat Aug 8 17:31:40 2026 1 relations: 1788199
  174. Sat Aug 8 17:31:40 2026 2 relations: 1763995
  175. Sat Aug 8 17:31:40 2026 3 relations: 1792569
  176. Sat Aug 8 17:31:40 2026 4 relations: 1736665
  177. Sat Aug 8 17:31:40 2026 5 relations: 1651212
  178. Sat Aug 8 17:31:40 2026 6 relations: 1557394
  179. Sat Aug 8 17:31:40 2026 7 relations: 1418155
  180. Sat Aug 8 17:31:40 2026 8 relations: 1252702
  181. Sat Aug 8 17:31:40 2026 9 relations: 1072072
  182. Sat Aug 8 17:31:40 2026 10+ relations: 3579506
  183. Sat Aug 8 17:31:40 2026 heaviest cycle: 21 relations
  184. Sat Aug 8 17:31:46 2026 commencing cycle optimization
  185. Sat Aug 8 17:32:23 2026 start with 109101342 relations
  186. Sat Aug 8 17:35:40 2026 pruned 3344289 relations
  187. Sat Aug 8 17:35:43 2026 memory use: 3427.7 MB
  188. Sat Aug 8 17:35:43 2026 distribution of cycle lengths:
  189. Sat Aug 8 17:35:43 2026 1 relations: 1788199
  190. Sat Aug 8 17:35:43 2026 2 relations: 1807224
  191. Sat Aug 8 17:35:43 2026 3 relations: 1863199
  192. Sat Aug 8 17:35:43 2026 4 relations: 1790784
  193. Sat Aug 8 17:35:43 2026 5 relations: 1711197
  194. Sat Aug 8 17:35:43 2026 6 relations: 1601910
  195. Sat Aug 8 17:35:43 2026 7 relations: 1456727
  196. Sat Aug 8 17:35:43 2026 8 relations: 1272428
  197. Sat Aug 8 17:35:43 2026 9 relations: 1075380
  198. Sat Aug 8 17:35:43 2026 10+ relations: 3245421
  199. Sat Aug 8 17:35:43 2026 heaviest cycle: 21 relations
  200. Sat Aug 8 17:36:21 2026 trying target density 110
  201. Sat Aug 8 17:36:26 2026 relations with 0 large ideals: 5187
  202. Sat Aug 8 17:36:26 2026 relations with 1 large ideals: 24774
  203. Sat Aug 8 17:36:26 2026 relations with 2 large ideals: 354736
  204. Sat Aug 8 17:36:26 2026 relations with 3 large ideals: 2130887
  205. Sat Aug 8 17:36:26 2026 relations with 4 large ideals: 6876058
  206. Sat Aug 8 17:36:26 2026 relations with 5 large ideals: 13143022
  207. Sat Aug 8 17:36:26 2026 relations with 6 large ideals: 15585931
  208. Sat Aug 8 17:36:26 2026 relations with 7+ large ideals: 18361796
  209. Sat Aug 8 17:36:26 2026 commencing 2-way merge
  210. Sat Aug 8 17:37:02 2026 reduce to 35655892 relation sets and 34038269 unique ideals
  211. Sat Aug 8 17:37:02 2026 commencing full merge
  212. Sat Aug 8 17:50:57 2026 memory use: 4208.7 MB
  213. Sat Aug 8 17:51:02 2026 found 16640626 cycles, need 16458469
  214. Sat Aug 8 17:51:09 2026 weight of 16458469 cycles is about 1810940847 (110.03/cycle)
  215. Sat Aug 8 17:51:09 2026 distribution of cycle lengths:
  216. Sat Aug 8 17:51:09 2026 1 relations: 1202525
  217. Sat Aug 8 17:51:09 2026 2 relations: 1332038
  218. Sat Aug 8 17:51:09 2026 3 relations: 1394214
  219. Sat Aug 8 17:51:09 2026 4 relations: 1351840
  220. Sat Aug 8 17:51:09 2026 5 relations: 1331633
  221. Sat Aug 8 17:51:09 2026 6 relations: 1287811
  222. Sat Aug 8 17:51:09 2026 7 relations: 1224994
  223. Sat Aug 8 17:51:09 2026 8 relations: 1146645
  224. Sat Aug 8 17:51:09 2026 9 relations: 1045266
  225. Sat Aug 8 17:51:09 2026 10+ relations: 5141503
  226. Sat Aug 8 17:51:09 2026 heaviest cycle: 26 relations
  227. Sat Aug 8 17:51:11 2026 commencing cycle optimization
  228. Sat Aug 8 17:51:52 2026 start with 124263142 relations
  229. Sat Aug 8 17:56:40 2026 pruned 4733300 relations
  230. Sat Aug 8 17:56:40 2026 memory use: 3588.9 MB
  231. Sat Aug 8 17:56:40 2026 distribution of cycle lengths:
  232. Sat Aug 8 17:56:40 2026 1 relations: 1202525
  233. Sat Aug 8 17:56:40 2026 2 relations: 1366179
  234. Sat Aug 8 17:56:40 2026 3 relations: 1452375
  235. Sat Aug 8 17:56:40 2026 4 relations: 1402150
  236. Sat Aug 8 17:56:40 2026 5 relations: 1389296
  237. Sat Aug 8 17:56:40 2026 6 relations: 1337833
  238. Sat Aug 8 17:56:40 2026 7 relations: 1275321
  239. Sat Aug 8 17:56:40 2026 8 relations: 1184450
  240. Sat Aug 8 17:56:40 2026 9 relations: 1075234
  241. Sat Aug 8 17:56:40 2026 10+ relations: 4773106
  242. Sat Aug 8 17:56:40 2026 heaviest cycle: 26 relations
  243. Sat Aug 8 17:57:17 2026 trying target density 130
  244. Sat Aug 8 17:57:23 2026 relations with 0 large ideals: 5187
  245. Sat Aug 8 17:57:23 2026 relations with 1 large ideals: 24774
  246. Sat Aug 8 17:57:23 2026 relations with 2 large ideals: 354736
  247. Sat Aug 8 17:57:23 2026 relations with 3 large ideals: 2130887
  248. Sat Aug 8 17:57:23 2026 relations with 4 large ideals: 6876058
  249. Sat Aug 8 17:57:23 2026 relations with 5 large ideals: 13143022
  250. Sat Aug 8 17:57:23 2026 relations with 6 large ideals: 15585931
  251. Sat Aug 8 17:57:23 2026 relations with 7+ large ideals: 18361796
  252. Sat Aug 8 17:57:23 2026 commencing 2-way merge
  253. Sat Aug 8 17:57:56 2026 reduce to 35655892 relation sets and 34038269 unique ideals
  254. Sat Aug 8 17:57:56 2026 commencing full merge
  255. Sat Aug 8 18:14:01 2026 memory use: 4283.5 MB
  256. Sat Aug 8 18:14:10 2026 found 15693858 cycles, need 15616469
  257. Sat Aug 8 18:14:11 2026 weight of 15616469 cycles is about 2030478600 (130.02/cycle)
  258. Sat Aug 8 18:14:11 2026 distribution of cycle lengths:
  259. Sat Aug 8 18:14:11 2026 1 relations: 825617
  260. Sat Aug 8 18:14:11 2026 2 relations: 1039891
  261. Sat Aug 8 18:14:11 2026 3 relations: 1124493
  262. Sat Aug 8 18:14:11 2026 4 relations: 1111091
  263. Sat Aug 8 18:14:11 2026 5 relations: 1109307
  264. Sat Aug 8 18:14:11 2026 6 relations: 1077715
  265. Sat Aug 8 18:14:11 2026 7 relations: 1059452
  266. Sat Aug 8 18:14:11 2026 8 relations: 1007912
  267. Sat Aug 8 18:14:11 2026 9 relations: 956656
  268. Sat Aug 8 18:14:11 2026 10+ relations: 6304335
  269. Sat Aug 8 18:14:11 2026 heaviest cycle: 28 relations
  270. Sat Aug 8 18:14:15 2026 commencing cycle optimization
  271. Sat Aug 8 18:14:58 2026 start with 138817556 relations
  272. Sat Aug 8 18:21:14 2026 pruned 6183413 relations
  273. Sat Aug 8 18:21:14 2026 memory use: 3738.7 MB
  274. Sat Aug 8 18:21:15 2026 distribution of cycle lengths:
  275. Sat Aug 8 18:21:15 2026 1 relations: 825617
  276. Sat Aug 8 18:21:15 2026 2 relations: 1067549
  277. Sat Aug 8 18:21:15 2026 3 relations: 1173463
  278. Sat Aug 8 18:21:15 2026 4 relations: 1155886
  279. Sat Aug 8 18:21:15 2026 5 relations: 1161998
  280. Sat Aug 8 18:21:15 2026 6 relations: 1127457
  281. Sat Aug 8 18:21:15 2026 7 relations: 1110251
  282. Sat Aug 8 18:21:15 2026 8 relations: 1053105
  283. Sat Aug 8 18:21:15 2026 9 relations: 997668
  284. Sat Aug 8 18:21:15 2026 10+ relations: 5943475
  285. Sat Aug 8 18:21:15 2026 heaviest cycle: 28 relations
  286. Sat Aug 8 18:21:53 2026 RelProcTime: 7325
  287. Sat Aug 8 18:21:53 2026
  288. Sat Aug 8 18:21:53 2026 commencing linear algebra
  289. Sat Aug 8 18:21:53 2026 using VBITS=256
  290. Sat Aug 8 18:21:53 2026 building matrices for all densities
  291. Sat Aug 8 18:21:53 2026 found 3 density files
  292. Sat Aug 8 18:21:53 2026 building matrix for density 90
  293. Sat Aug 8 18:21:54 2026 read 17612469 cycles
  294. Sat Aug 8 18:22:20 2026 cycles contain 55467999 unique relations
  295. Sat Aug 8 18:24:18 2026 read 55467999 relations
  296. Sat Aug 8 18:24:39 2026 using 20 quadratic characters above 4294917295
  297. Sat Aug 8 18:25:00 2026 building initial matrix
  298. Sat Aug 8 18:35:21 2026 memory use: 7725.8 MB
  299. Sat Aug 8 18:35:27 2026 read 17612469 cycles
  300. Sat Aug 8 18:35:30 2026 matrix is 17612288 x 17612469 (6590.8 MB) with weight 2025901534 (115.03/col)
  301. Sat Aug 8 18:35:30 2026 sparse part has weight 1516390866 (86.10/col)
  302. Sat Aug 8 18:38:16 2026 filtering completed in 2 passes
  303. Sat Aug 8 18:38:21 2026 matrix is 17607884 x 17608063 (6590.4 MB) with weight 2025717564 (115.04/col)
  304. Sat Aug 8 18:38:21 2026 sparse part has weight 1516335410 (86.12/col)
  305. Sat Aug 8 18:39:04 2026 building matrix for density 110
  306. Sat Aug 8 18:39:05 2026 read 16458469 cycles
  307. Sat Aug 8 18:39:30 2026 cycles contain 55485292 unique relations
  308. Sat Aug 8 18:40:52 2026 read 55485292 relations
  309. Sat Aug 8 18:41:09 2026 using 20 quadratic characters above 4294917295
  310. Sat Aug 8 18:41:34 2026 building initial matrix
  311. Sat Aug 8 18:52:18 2026 memory use: 7745.1 MB
  312. Sat Aug 8 18:52:27 2026 read 16458469 cycles
  313. Sat Aug 8 18:52:30 2026 matrix is 16458287 x 16458469 (7265.9 MB) with weight 2214247454 (134.54/col)
  314. Sat Aug 8 18:52:30 2026 sparse part has weight 1707200426 (103.73/col)
  315. Sat Aug 8 18:54:59 2026 filtering completed in 2 passes
  316. Sat Aug 8 18:55:02 2026 matrix is 16456200 x 16456381 (7265.6 MB) with weight 2214144473 (134.55/col)
  317. Sat Aug 8 18:55:02 2026 sparse part has weight 1707164019 (103.74/col)
  318. Sat Aug 8 18:55:47 2026 building matrix for density 130
  319. Sat Aug 8 18:55:48 2026 read 15616469 cycles
  320. Sat Aug 8 18:56:15 2026 cycles contain 55488067 unique relations
  321. Sat Aug 8 18:57:28 2026 read 55488067 relations
  322. Sat Aug 8 18:57:48 2026 using 20 quadratic characters above 4294917295
  323. Sat Aug 8 18:58:09 2026 building initial matrix
  324. Sat Aug 8 19:10:35 2026 memory use: 7769.8 MB
  325. Sat Aug 8 19:10:43 2026 read 15616469 cycles
  326. Sat Aug 8 19:10:45 2026 matrix is 15616289 x 15616469 (7922.8 MB) with weight 2395410424 (153.39/col)
  327. Sat Aug 8 19:10:45 2026 sparse part has weight 1889506769 (120.99/col)
  328. Sat Aug 8 19:13:27 2026 filtering completed in 2 passes
  329. Sat Aug 8 19:13:32 2026 matrix is 15615685 x 15615864 (7922.7 MB) with weight 2395380557 (153.39/col)
  330. Sat Aug 8 19:13:32 2026 sparse part has weight 1889498015 (121.00/col)
  331. Sat Aug 8 19:14:12 2026 BLanczosTime: 3139
  332. Sat Aug 8 19:14:12 2026 elapsed time 02:54:24
  333. Sun Aug 9 02:24:31 2026
  334. Sun Aug 9 02:24:31 2026
  335. Sun Aug 9 02:24:31 2026 Msieve v. 1.54 (SVN unknown)
  336. Sun Aug 9 02:24:31 2026 random seeds: e3d59ac8 590d8fd3
  337. Sun Aug 9 02:24:31 2026 Using 8 OpenMP threads
  338. Sun Aug 9 02:24:31 2026 factoring 278922648864135785023943095027323320079784317347639920604915570279560368176370535052417995472522162666474725083294141607069456316482320757112258313875404079571796357910024012672830919 (183 digits)
  339. Sun Aug 9 02:24:32 2026 no P-1/P+1/ECM available, skipping
  340. Sun Aug 9 02:24:32 2026 commencing number field sieve (183-digit input)
  341. Sun Aug 9 02:24:32 2026 R0: -398606840155962718088762425523066518
  342. Sun Aug 9 02:24:32 2026 R1: 42988090300628053464361
  343. Sun Aug 9 02:24:32 2026 A0: -58480087141351991008664341581963031904065800
  344. Sun Aug 9 02:24:32 2026 A1: 3684269408731391464636999155137339297
  345. Sun Aug 9 02:24:32 2026 A2: 172520825869268600771011753082
  346. Sun Aug 9 02:24:32 2026 A3: 2171023191024727272393
  347. Sun Aug 9 02:24:32 2026 A4: -39273275989752
  348. Sun Aug 9 02:24:32 2026 A5: 55440
  349. Sun Aug 9 02:24:32 2026 skew 59694517.47, size 9.880e-18, alpha -7.674, combined = 7.103e-14 rroots = 3
  350. Sun Aug 9 02:24:32 2026
  351. Sun Aug 9 02:24:32 2026 commencing linear algebra
  352. Sun Aug 9 02:24:32 2026 using VBITS=256
  353. Sun Aug 9 02:24:32 2026 skipping matrix build
  354. Sun Aug 9 02:24:42 2026 matrix starts at (0, 0)
  355. Sun Aug 9 02:24:46 2026 matrix is 15615685 x 15615864 (7922.7 MB) with weight 2395380557 (153.39/col)
  356. Sun Aug 9 02:24:46 2026 sparse part has weight 1889498015 (121.00/col)
  357. Sun Aug 9 02:24:46 2026 saving the first 240 matrix rows for later
  358. Sun Aug 9 02:24:53 2026 matrix includes 256 packed rows
  359. Sun Aug 9 02:24:59 2026 matrix is 15615445 x 15615864 (7155.3 MB) with weight 1729257673 (110.74/col)
  360. Sun Aug 9 02:24:59 2026 sparse part has weight 1625871571 (104.12/col)
  361. Sun Aug 9 02:24:59 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  362. Sun Aug 9 02:24:59 2026 selected card has CUDA arch 12.0
  363. Sun Aug 9 02:25:01 2026 computed block_nnz 163761343 (L2 cache 100663296 bytes, average column weight 104.1)
  364. Sun Aug 9 02:25:01 2026 nonzeros per matrix block: 256000000
  365. Sun Aug 9 02:28:59 2026 commencing Lanczos iteration
  366. Sun Aug 9 02:29:00 2026 memory use: 17050.9 MB
  367. Sun Aug 9 02:29:13 2026 linear algebra at 0.2%, ETA 1h41m
  368. Sun Aug 9 02:29:31 2026 checking every 150000 dimensions, checkpointing every 9300000 dimensions
  369. Sun Aug 9 04:11:54 2026 lanczos halted after 61182 iterations (dim = 15615444)
  370. Sun Aug 9 04:13:17 2026 recovered 32 nontrivial dependencies
  371. Sun Aug 9 04:13:18 2026 BLanczosTime: 6526
  372. Sun Aug 9 04:13:18 2026 elapsed time 01:48:47
  373. Sun Aug 9 02:31:00 2026
  374. Sun Aug 9 02:31:00 2026
  375. Sun Aug 9 02:31:00 2026 Msieve v. 1.54 (SVN unknown)
  376. Sun Aug 9 02:31:00 2026 random seeds: 46197fc3 a205b9d1
  377. Sun Aug 9 02:31:00 2026 Using 8 OpenMP threads
  378. Sun Aug 9 02:31:00 2026 factoring 278922648864135785023943095027323320079784317347639920604915570279560368176370535052417995472522162666474725083294141607069456316482320757112258313875404079571796357910024012672830919 (183 digits)
  379. Sun Aug 9 02:31:01 2026 no P-1/P+1/ECM available, skipping
  380. Sun Aug 9 02:31:01 2026 commencing number field sieve (183-digit input)
  381. Sun Aug 9 02:31:01 2026 R0: -398606840155962718088762425523066518
  382. Sun Aug 9 02:31:01 2026 R1: 42988090300628053464361
  383. Sun Aug 9 02:31:01 2026 A0: -58480087141351991008664341581963031904065800
  384. Sun Aug 9 02:31:01 2026 A1: 3684269408731391464636999155137339297
  385. Sun Aug 9 02:31:01 2026 A2: 172520825869268600771011753082
  386. Sun Aug 9 02:31:01 2026 A3: 2171023191024727272393
  387. Sun Aug 9 02:31:01 2026 A4: -39273275989752
  388. Sun Aug 9 02:31:01 2026 A5: 55440
  389. Sun Aug 9 02:31:01 2026 skew 59694517.47, size 9.880e-18, alpha -7.674, combined = 7.103e-14 rroots = 3
  390. Sun Aug 9 02:31:01 2026
  391. Sun Aug 9 02:31:01 2026 commencing square root phase
  392. Sun Aug 9 02:31:01 2026 reading relations for dependency 1
  393. Sun Aug 9 02:31:16 2026 read 7809758 cycles
  394. Sun Aug 9 02:31:43 2026 cycles contain 27744596 unique relations
  395. Sun Aug 9 02:45:47 2026 read 27744596 relations
  396. Sun Aug 9 02:48:37 2026 multiplying 27744596 relations
  397. Sun Aug 9 02:52:50 2026 multiply complete, coefficients have about 1582.05 million bits
  398. Sun Aug 9 02:52:54 2026 initial square root is modulo 12492853
  399. Sun Aug 9 02:59:53 2026 GCD is 1, no factor found
  400. Sun Aug 9 02:59:53 2026 reading relations for dependency 2
  401. Sun Aug 9 02:59:55 2026 read 7808767 cycles
  402. Sun Aug 9 03:00:11 2026 cycles contain 27742072 unique relations
  403. Sun Aug 9 03:01:20 2026 read 27742072 relations
  404. Sun Aug 9 03:03:13 2026 multiplying 27742072 relations
  405. Sun Aug 9 03:06:27 2026 multiply complete, coefficients have about 1581.93 million bits
  406. Sun Aug 9 03:06:31 2026 initial square root is modulo 12476449
  407. Sun Aug 9 03:13:25 2026 GCD is N, no factor found
  408. Sun Aug 9 03:13:25 2026 reading relations for dependency 3
  409. Sun Aug 9 03:13:26 2026 read 7809020 cycles
  410. Sun Aug 9 03:13:38 2026 cycles contain 27746368 unique relations
  411. Sun Aug 9 03:14:21 2026 read 27746368 relations
  412. Sun Aug 9 03:16:18 2026 multiplying 27746368 relations
  413. Sun Aug 9 03:19:36 2026 multiply complete, coefficients have about 1582.17 million bits
  414. Sun Aug 9 03:19:39 2026 initial square root is modulo 12507617
  415. Sun Aug 9 03:26:31 2026 sqrtTime: 3330
  416. Sun Aug 9 03:26:31 2026 p63 factor: 275835790299988466263753239594430860754479547719988122102612479
  417. Sun Aug 9 03:26:31 2026 p121 factor: 1011190928344687139148982797717004707101388945448482826518507870469832135129534208180166473737359068588888198418247394361
  418. Sun Aug 9 03:26:31 2026 elapsed time 00:55:31
  419.  
Tags: math
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