kyleaskine

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Aug 29th, 2026
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  1. Thu Aug 27 21:11:16 2026
  2. Thu Aug 27 21:11:16 2026
  3. Thu Aug 27 21:11:16 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 27 21:11:16 2026 random seeds: eabfa7f4 9c820c0b
  5. Thu Aug 27 21:11:16 2026 Using 8 OpenMP threads
  6. Thu Aug 27 21:11:16 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits)
  7. Thu Aug 27 21:11:16 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 27 21:11:16 2026 commencing number field sieve (197-digit input)
  9. Thu Aug 27 21:11:16 2026 R0: -111265838593733002967703032074764032798
  10. Thu Aug 27 21:11:16 2026 R1: 161205809665853656925149
  11. Thu Aug 27 21:11:16 2026 A0: -57474785231244374486856928419891414473597967990
  12. Thu Aug 27 21:11:16 2026 A1: 2163515722733065141089133812726405493612
  13. Thu Aug 27 21:11:16 2026 A2: 12363555516660333449575404509287
  14. Thu Aug 27 21:11:16 2026 A3: -381822161615191308772205
  15. Thu Aug 27 21:11:16 2026 A4: -799957204183584
  16. Thu Aug 27 21:11:16 2026 A5: 2882880
  17. Thu Aug 27 21:11:16 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5
  18. Thu Aug 27 21:11:16 2026
  19. Thu Aug 27 21:11:16 2026 commencing relation filtering
  20. Thu Aug 27 21:11:16 2026 setting 3 target densities:Thu Aug 27 21:11:16 2026 70Thu Aug 27 21:11:16 2026 80Thu Aug 27 21:11:16 2026 130Thu Aug 27 21:11:16 2026
  21. Thu Aug 27 21:11:16 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 27 21:11:16 2026 commencing duplicate removal, pass 1
  23. Thu Aug 27 21:21:07 2026 found 172647968 hash collisions in 702626522 relations
  24. Thu Aug 27 21:21:19 2026 added 121948 free relations
  25. Thu Aug 27 21:21:19 2026 commencing duplicate removal, pass 2
  26. Thu Aug 27 21:26:25 2026 found 201717796 duplicates and 501030674 unique relations
  27. Thu Aug 27 21:26:25 2026 memory use: 5286.0 MB
  28. Thu Aug 27 21:26:25 2026 reading ideals above 359989248
  29. Thu Aug 27 21:26:25 2026 commencing singleton removal, initial pass
  30. Thu Aug 27 21:42:01 2026 memory use: 11024.0 MB
  31. Thu Aug 27 21:42:01 2026 reading all ideals from disk
  32. Thu Aug 27 21:42:06 2026 memory use: 12999.0 MB
  33. Thu Aug 27 21:42:20 2026 commencing in-memory singleton removal
  34. Thu Aug 27 21:42:24 2026 begin with 501030674 relations and 443585185 unique ideals
  35. Thu Aug 27 21:43:03 2026 reduce to 304767838 relations and 226568706 ideals in 16 passes
  36. Thu Aug 27 21:43:03 2026 max relations containing the same ideal: 43
  37. Thu Aug 27 21:43:10 2026 reading ideals above 720000
  38. Thu Aug 27 21:43:10 2026 commencing singleton removal, initial pass
  39. Thu Aug 27 22:00:52 2026 memory use: 6024.0 MB
  40. Thu Aug 27 22:00:52 2026 reading all ideals from disk
  41. Thu Aug 27 22:01:04 2026 memory use: 15602.7 MB
  42. Thu Aug 27 22:01:25 2026 keeping 263574466 ideals with weight <= 200, target excess is 1612877
  43. Thu Aug 27 22:01:52 2026 commencing in-memory singleton removal
  44. Thu Aug 27 22:01:57 2026 begin with 304767838 relations and 263574466 unique ideals
  45. Thu Aug 27 22:02:31 2026 reduce to 304726693 relations and 263533321 ideals in 9 passes
  46. Thu Aug 27 22:02:31 2026 max relations containing the same ideal: 200
  47. Thu Aug 27 22:04:00 2026 removing 15119821 relations and 13119821 ideals in 2000000 cliques
  48. Thu Aug 27 22:04:05 2026 commencing in-memory singleton removal
  49. Thu Aug 27 22:04:10 2026 begin with 289606872 relations and 263533321 unique ideals
  50. Thu Aug 27 22:04:43 2026 reduce to 289031141 relations and 249832469 ideals in 9 passes
  51. Thu Aug 27 22:04:43 2026 max relations containing the same ideal: 200
  52. Thu Aug 27 22:06:06 2026 removing 11426641 relations and 9426641 ideals in 2000000 cliques
  53. Thu Aug 27 22:06:11 2026 commencing in-memory singleton removal
  54. Thu Aug 27 22:06:15 2026 begin with 277604500 relations and 249832469 unique ideals
  55. Thu Aug 27 22:06:44 2026 reduce to 277239985 relations and 240038574 ideals in 8 passes
  56. Thu Aug 27 22:06:44 2026 max relations containing the same ideal: 197
  57. Thu Aug 27 22:08:03 2026 removing 10271574 relations and 8271574 ideals in 2000000 cliques
  58. Thu Aug 27 22:08:08 2026 commencing in-memory singleton removal
  59. Thu Aug 27 22:08:12 2026 begin with 266968411 relations and 240038574 unique ideals
  60. Thu Aug 27 22:08:36 2026 reduce to 266655716 relations and 231452071 ideals in 7 passes
  61. Thu Aug 27 22:08:36 2026 max relations containing the same ideal: 194
  62. Thu Aug 27 22:09:54 2026 removing 9639941 relations and 7639941 ideals in 2000000 cliques
  63. Thu Aug 27 22:09:58 2026 commencing in-memory singleton removal
  64. Thu Aug 27 22:10:02 2026 begin with 257015775 relations and 231452071 unique ideals
  65. Thu Aug 27 22:10:25 2026 reduce to 256726124 relations and 223520378 ideals in 7 passes
  66. Thu Aug 27 22:10:25 2026 max relations containing the same ideal: 189
  67. Thu Aug 27 22:11:40 2026 removing 9223474 relations and 7223474 ideals in 2000000 cliques
  68. Thu Aug 27 22:11:45 2026 commencing in-memory singleton removal
  69. Thu Aug 27 22:11:48 2026 begin with 247502650 relations and 223520378 unique ideals
  70. Thu Aug 27 22:12:10 2026 reduce to 247226194 relations and 216018358 ideals in 7 passes
  71. Thu Aug 27 22:12:10 2026 max relations containing the same ideal: 184
  72. Thu Aug 27 22:13:23 2026 removing 8935240 relations and 6935240 ideals in 2000000 cliques
  73. Thu Aug 27 22:13:27 2026 commencing in-memory singleton removal
  74. Thu Aug 27 22:13:31 2026 begin with 238290954 relations and 216018358 unique ideals
  75. Thu Aug 27 22:13:52 2026 reduce to 238022668 relations and 208812715 ideals in 7 passes
  76. Thu Aug 27 22:13:52 2026 max relations containing the same ideal: 181
  77. Thu Aug 27 22:15:03 2026 removing 8722687 relations and 6722687 ideals in 2000000 cliques
  78. Thu Aug 27 22:15:06 2026 commencing in-memory singleton removal
  79. Thu Aug 27 22:15:10 2026 begin with 229299981 relations and 208812715 unique ideals
  80. Thu Aug 27 22:15:24 2026 reduce to 229032129 relations and 201820151 ideals in 7 passes
  81. Thu Aug 27 22:15:24 2026 max relations containing the same ideal: 176
  82. Thu Aug 27 22:16:33 2026 removing 8563918 relations and 6563918 ideals in 2000000 cliques
  83. Thu Aug 27 22:16:37 2026 commencing in-memory singleton removal
  84. Thu Aug 27 22:16:40 2026 begin with 220468211 relations and 201820151 unique ideals
  85. Thu Aug 27 22:16:57 2026 reduce to 220200245 relations and 194986136 ideals in 6 passes
  86. Thu Aug 27 22:16:57 2026 max relations containing the same ideal: 171
  87. Thu Aug 27 22:18:04 2026 removing 8450130 relations and 6450130 ideals in 2000000 cliques
  88. Thu Aug 27 22:18:08 2026 commencing in-memory singleton removal
  89. Thu Aug 27 22:18:11 2026 begin with 211750115 relations and 194986136 unique ideals
  90. Thu Aug 27 22:18:30 2026 reduce to 211479184 relations and 188262815 ideals in 7 passes
  91. Thu Aug 27 22:18:30 2026 max relations containing the same ideal: 167
  92. Thu Aug 27 22:19:34 2026 removing 8367296 relations and 6367296 ideals in 2000000 cliques
  93. Thu Aug 27 22:19:38 2026 commencing in-memory singleton removal
  94. Thu Aug 27 22:19:41 2026 begin with 203111888 relations and 188262815 unique ideals
  95. Thu Aug 27 22:19:59 2026 reduce to 202836203 relations and 181617545 ideals in 7 passes
  96. Thu Aug 27 22:19:59 2026 max relations containing the same ideal: 163
  97. Thu Aug 27 22:21:03 2026 removing 8311451 relations and 6311451 ideals in 2000000 cliques
  98. Thu Aug 27 22:21:07 2026 commencing in-memory singleton removal
  99. Thu Aug 27 22:21:10 2026 begin with 194524752 relations and 181617545 unique ideals
  100. Thu Aug 27 22:21:30 2026 reduce to 194240892 relations and 175019752 ideals in 8 passes
  101. Thu Aug 27 22:21:30 2026 max relations containing the same ideal: 159
  102. Thu Aug 27 22:22:30 2026 removing 8272277 relations and 6272277 ideals in 2000000 cliques
  103. Thu Aug 27 22:22:33 2026 commencing in-memory singleton removal
  104. Thu Aug 27 22:22:36 2026 begin with 185968615 relations and 175019752 unique ideals
  105. Thu Aug 27 22:22:53 2026 reduce to 185673738 relations and 168449990 ideals in 7 passes
  106. Thu Aug 27 22:22:53 2026 max relations containing the same ideal: 154
  107. Thu Aug 27 22:23:50 2026 removing 8256708 relations and 6256708 ideals in 2000000 cliques
  108. Thu Aug 27 22:23:53 2026 commencing in-memory singleton removal
  109. Thu Aug 27 22:23:56 2026 begin with 177417030 relations and 168449990 unique ideals
  110. Thu Aug 27 22:24:12 2026 reduce to 177110643 relations and 161883853 ideals in 7 passes
  111. Thu Aug 27 22:24:12 2026 max relations containing the same ideal: 149
  112. Thu Aug 27 22:25:07 2026 removing 8261680 relations and 6261680 ideals in 2000000 cliques
  113. Thu Aug 27 22:25:10 2026 commencing in-memory singleton removal
  114. Thu Aug 27 22:25:12 2026 begin with 168848963 relations and 161883853 unique ideals
  115. Thu Aug 27 22:25:27 2026 reduce to 168528364 relations and 155298417 ideals in 7 passes
  116. Thu Aug 27 22:25:27 2026 max relations containing the same ideal: 147
  117. Thu Aug 27 22:26:21 2026 removing 8283861 relations and 6283861 ideals in 2000000 cliques
  118. Thu Aug 27 22:26:24 2026 commencing in-memory singleton removal
  119. Thu Aug 27 22:26:26 2026 begin with 160244503 relations and 155298417 unique ideals
  120. Thu Aug 27 22:26:42 2026 reduce to 159906287 relations and 148672857 ideals in 8 passes
  121. Thu Aug 27 22:26:42 2026 max relations containing the same ideal: 141
  122. Thu Aug 27 22:27:32 2026 removing 8319348 relations and 6319348 ideals in 2000000 cliques
  123. Thu Aug 27 22:27:35 2026 commencing in-memory singleton removal
  124. Thu Aug 27 22:27:38 2026 begin with 151586939 relations and 148672857 unique ideals
  125. Thu Aug 27 22:27:51 2026 reduce to 151226054 relations and 141988744 ideals in 7 passes
  126. Thu Aug 27 22:27:51 2026 max relations containing the same ideal: 135
  127. Thu Aug 27 22:28:39 2026 removing 8369593 relations and 6369593 ideals in 2000000 cliques
  128. Thu Aug 27 22:28:42 2026 commencing in-memory singleton removal
  129. Thu Aug 27 22:28:44 2026 begin with 142856461 relations and 141988744 unique ideals
  130. Thu Aug 27 22:28:58 2026 reduce to 142470915 relations and 135229200 ideals in 8 passes
  131. Thu Aug 27 22:28:58 2026 max relations containing the same ideal: 133
  132. Thu Aug 27 22:29:40 2026 removing 8445315 relations and 6445315 ideals in 2000000 cliques
  133. Thu Aug 27 22:29:43 2026 commencing in-memory singleton removal
  134. Thu Aug 27 22:29:45 2026 begin with 134025600 relations and 135229200 unique ideals
  135. Thu Aug 27 22:30:00 2026 reduce to 133610465 relations and 128363705 ideals in 8 passes
  136. Thu Aug 27 22:30:00 2026 max relations containing the same ideal: 127
  137. Thu Aug 27 22:30:49 2026 removing 8543436 relations and 6543436 ideals in 2000000 cliques
  138. Thu Aug 27 22:30:52 2026 commencing in-memory singleton removal
  139. Thu Aug 27 22:30:54 2026 begin with 125067029 relations and 128363705 unique ideals
  140. Thu Aug 27 22:31:09 2026 reduce to 124610186 relations and 121357499 ideals in 8 passes
  141. Thu Aug 27 22:31:09 2026 max relations containing the same ideal: 121
  142. Thu Aug 27 22:31:54 2026 removing 6421827 relations and 5040078 ideals in 1381749 cliques
  143. Thu Aug 27 22:31:56 2026 commencing in-memory singleton removal
  144. Thu Aug 27 22:31:58 2026 begin with 118188359 relations and 121357499 unique ideals
  145. Thu Aug 27 22:32:12 2026 reduce to 117918318 relations and 116044767 ideals in 8 passes
  146. Thu Aug 27 22:32:12 2026 max relations containing the same ideal: 116
  147. Thu Aug 27 22:32:56 2026 trying target density 70
  148. Thu Aug 27 22:33:06 2026 relations with 0 large ideals: 6013
  149. Thu Aug 27 22:33:06 2026 relations with 1 large ideals: 13867
  150. Thu Aug 27 22:33:06 2026 relations with 2 large ideals: 237105
  151. Thu Aug 27 22:33:06 2026 relations with 3 large ideals: 1808589
  152. Thu Aug 27 22:33:06 2026 relations with 4 large ideals: 7508242
  153. Thu Aug 27 22:33:06 2026 relations with 5 large ideals: 18843208
  154. Thu Aug 27 22:33:06 2026 relations with 6 large ideals: 29938624
  155. Thu Aug 27 22:33:06 2026 relations with 7+ large ideals: 59562670
  156. Thu Aug 27 22:33:06 2026 commencing 2-way merge
  157. Thu Aug 27 22:34:10 2026 reduce to 74244747 relation sets and 72371196 unique ideals
  158. Thu Aug 27 22:34:10 2026 commencing full merge
  159. Thu Aug 27 22:47:44 2026 memory use: 8274.8 MB
  160. Thu Aug 27 22:47:52 2026 found 41161607 cycles, need 40901396
  161. Thu Aug 27 22:48:04 2026 weight of 40901396 cycles is about 2863305937 (70.01/cycle)
  162. Thu Aug 27 22:48:04 2026 distribution of cycle lengths:
  163. Thu Aug 27 22:48:04 2026 1 relations: 6160711
  164. Thu Aug 27 22:48:04 2026 2 relations: 5620193
  165. Thu Aug 27 22:48:04 2026 3 relations: 5448911
  166. Thu Aug 27 22:48:04 2026 4 relations: 4894140
  167. Thu Aug 27 22:48:04 2026 5 relations: 4487529
  168. Thu Aug 27 22:48:04 2026 6 relations: 3842956
  169. Thu Aug 27 22:48:04 2026 7 relations: 3160340
  170. Thu Aug 27 22:48:04 2026 8 relations: 2459125
  171. Thu Aug 27 22:48:04 2026 9 relations: 1824204
  172. Thu Aug 27 22:48:04 2026 10+ relations: 3003287
  173. Thu Aug 27 22:48:04 2026 heaviest cycle: 17 relations
  174. Thu Aug 27 22:48:13 2026 commencing cycle optimization
  175. Thu Aug 27 22:49:09 2026 start with 190386035 relations
  176. Thu Aug 27 22:52:21 2026 pruned 3640630 relations
  177. Thu Aug 27 22:52:24 2026 memory use: 6771.1 MB
  178. Thu Aug 27 22:52:24 2026 distribution of cycle lengths:
  179. Thu Aug 27 22:52:24 2026 1 relations: 6160711
  180. Thu Aug 27 22:52:24 2026 2 relations: 5733635
  181. Thu Aug 27 22:52:24 2026 3 relations: 5616520
  182. Thu Aug 27 22:52:24 2026 4 relations: 4989996
  183. Thu Aug 27 22:52:24 2026 5 relations: 4567464
  184. Thu Aug 27 22:52:24 2026 6 relations: 3868654
  185. Thu Aug 27 22:52:24 2026 7 relations: 3159537
  186. Thu Aug 27 22:52:24 2026 8 relations: 2413628
  187. Thu Aug 27 22:52:24 2026 9 relations: 1752196
  188. Thu Aug 27 22:52:24 2026 10+ relations: 2639055
  189. Thu Aug 27 22:52:24 2026 heaviest cycle: 16 relations
  190. Thu Aug 27 22:53:21 2026 trying target density 80
  191. Thu Aug 27 22:53:32 2026 relations with 0 large ideals: 6013
  192. Thu Aug 27 22:53:32 2026 relations with 1 large ideals: 13867
  193. Thu Aug 27 22:53:32 2026 relations with 2 large ideals: 237105
  194. Thu Aug 27 22:53:32 2026 relations with 3 large ideals: 1808589
  195. Thu Aug 27 22:53:32 2026 relations with 4 large ideals: 7508242
  196. Thu Aug 27 22:53:32 2026 relations with 5 large ideals: 18843208
  197. Thu Aug 27 22:53:32 2026 relations with 6 large ideals: 29938624
  198. Thu Aug 27 22:53:32 2026 relations with 7+ large ideals: 59562670
  199. Thu Aug 27 22:53:32 2026 commencing 2-way merge
  200. Thu Aug 27 22:54:32 2026 reduce to 74244747 relation sets and 72371196 unique ideals
  201. Thu Aug 27 22:54:32 2026 commencing full merge
  202. Thu Aug 27 23:08:04 2026 memory use: 8406.5 MB
  203. Thu Aug 27 23:08:11 2026 found 39006299 cycles, need 38747396
  204. Thu Aug 27 23:08:19 2026 weight of 38747396 cycles is about 3099875099 (80.00/cycle)
  205. Thu Aug 27 23:08:19 2026 distribution of cycle lengths:
  206. Thu Aug 27 23:08:19 2026 1 relations: 5004932
  207. Thu Aug 27 23:08:19 2026 2 relations: 4555015
  208. Thu Aug 27 23:08:19 2026 3 relations: 4585114
  209. Thu Aug 27 23:08:19 2026 4 relations: 4278113
  210. Thu Aug 27 23:08:19 2026 5 relations: 3958764
  211. Thu Aug 27 23:08:19 2026 6 relations: 3541714
  212. Thu Aug 27 23:08:19 2026 7 relations: 3107791
  213. Thu Aug 27 23:08:19 2026 8 relations: 2600258
  214. Thu Aug 27 23:08:19 2026 9 relations: 2081049
  215. Thu Aug 27 23:08:19 2026 10+ relations: 5034646
  216. Thu Aug 27 23:08:19 2026 heaviest cycle: 19 relations
  217. Thu Aug 27 23:08:25 2026 commencing cycle optimization
  218. Thu Aug 27 23:09:13 2026 start with 206209114 relations
  219. Thu Aug 27 23:12:19 2026 pruned 4897775 relations
  220. Thu Aug 27 23:12:22 2026 memory use: 6947.2 MB
  221. Thu Aug 27 23:12:22 2026 distribution of cycle lengths:
  222. Thu Aug 27 23:12:22 2026 1 relations: 5004932
  223. Thu Aug 27 23:12:22 2026 2 relations: 4660252
  224. Thu Aug 27 23:12:22 2026 3 relations: 4744700
  225. Thu Aug 27 23:12:22 2026 4 relations: 4382078
  226. Thu Aug 27 23:12:22 2026 5 relations: 4058266
  227. Thu Aug 27 23:12:22 2026 6 relations: 3599557
  228. Thu Aug 27 23:12:22 2026 7 relations: 3142258
  229. Thu Aug 27 23:12:22 2026 8 relations: 2591137
  230. Thu Aug 27 23:12:22 2026 9 relations: 2043950
  231. Thu Aug 27 23:12:22 2026 10+ relations: 4520266
  232. Thu Aug 27 23:12:22 2026 heaviest cycle: 19 relations
  233. Thu Aug 27 23:13:07 2026 trying target density 130
  234. Thu Aug 27 23:13:16 2026 relations with 0 large ideals: 6013
  235. Thu Aug 27 23:13:16 2026 relations with 1 large ideals: 13867
  236. Thu Aug 27 23:13:16 2026 relations with 2 large ideals: 237105
  237. Thu Aug 27 23:13:16 2026 relations with 3 large ideals: 1808589
  238. Thu Aug 27 23:13:16 2026 relations with 4 large ideals: 7508242
  239. Thu Aug 27 23:13:16 2026 relations with 5 large ideals: 18843208
  240. Thu Aug 27 23:13:16 2026 relations with 6 large ideals: 29938624
  241. Thu Aug 27 23:13:16 2026 relations with 7+ large ideals: 59562670
  242. Thu Aug 27 23:13:16 2026 commencing 2-way merge
  243. Thu Aug 27 23:14:05 2026 reduce to 74244747 relation sets and 72371196 unique ideals
  244. Thu Aug 27 23:14:05 2026 commencing full merge
  245. Thu Aug 27 23:34:27 2026 memory use: 8954.4 MB
  246. Thu Aug 27 23:34:32 2026 found 32737105 cycles, need 32681396
  247. Thu Aug 27 23:34:40 2026 weight of 32681396 cycles is about 4248751355 (130.01/cycle)
  248. Thu Aug 27 23:34:40 2026 distribution of cycle lengths:
  249. Thu Aug 27 23:34:40 2026 1 relations: 2203281
  250. Thu Aug 27 23:34:40 2026 2 relations: 2304148
  251. Thu Aug 27 23:34:40 2026 3 relations: 2408216
  252. Thu Aug 27 23:34:40 2026 4 relations: 2353526
  253. Thu Aug 27 23:34:40 2026 5 relations: 2349276
  254. Thu Aug 27 23:34:40 2026 6 relations: 2269692
  255. Thu Aug 27 23:34:40 2026 7 relations: 2189507
  256. Thu Aug 27 23:34:40 2026 8 relations: 2083157
  257. Thu Aug 27 23:34:40 2026 9 relations: 1969305
  258. Thu Aug 27 23:34:40 2026 10+ relations: 12551288
  259. Thu Aug 27 23:34:40 2026 heaviest cycle: 28 relations
  260. Thu Aug 27 23:34:45 2026 commencing cycle optimization
  261. Thu Aug 27 23:35:42 2026 start with 280525095 relations
  262. Thu Aug 27 23:43:12 2026 pruned 11647032 relations
  263. Thu Aug 27 23:43:12 2026 memory use: 7723.4 MB
  264. Thu Aug 27 23:43:12 2026 distribution of cycle lengths:
  265. Thu Aug 27 23:43:12 2026 1 relations: 2203281
  266. Thu Aug 27 23:43:12 2026 2 relations: 2364946
  267. Thu Aug 27 23:43:12 2026 3 relations: 2508987
  268. Thu Aug 27 23:43:12 2026 4 relations: 2444334
  269. Thu Aug 27 23:43:12 2026 5 relations: 2452769
  270. Thu Aug 27 23:43:12 2026 6 relations: 2361208
  271. Thu Aug 27 23:43:12 2026 7 relations: 2284622
  272. Thu Aug 27 23:43:12 2026 8 relations: 2163311
  273. Thu Aug 27 23:43:12 2026 9 relations: 2040544
  274. Thu Aug 27 23:43:12 2026 10+ relations: 11857394
  275. Thu Aug 27 23:43:12 2026 heaviest cycle: 28 relations
  276. Thu Aug 27 23:43:58 2026 RelProcTime: 9162
  277. Thu Aug 27 23:43:58 2026
  278. Thu Aug 27 23:43:58 2026 commencing linear algebra
  279. Thu Aug 27 23:43:58 2026 using VBITS=256
  280. Thu Aug 27 23:43:58 2026 building matrices for all densities
  281. Thu Aug 27 23:43:58 2026 found 3 density files
  282. Thu Aug 27 23:43:58 2026 building matrix for density 70
  283. Thu Aug 27 23:44:15 2026 read 40901396 cycles
  284. Thu Aug 27 23:45:03 2026 cycles contain 116652335 unique relations
  285. Thu Aug 27 23:52:29 2026 read 116652335 relations
  286. Thu Aug 27 23:53:02 2026 using 20 quadratic characters above 4294917295
  287. Thu Aug 27 23:53:39 2026 building initial matrix
  288. Fri Aug 28 00:05:35 2026 memory use: 16486.7 MB
  289. Fri Aug 28 00:05:44 2026 read 40901396 cycles
  290. Fri Aug 28 00:05:47 2026 matrix is 40901218 x 40901396 (12501.1 MB) with weight 3873100806 (94.69/col)
  291. Fri Aug 28 00:05:47 2026 sparse part has weight 2786276657 (68.12/col)
  292. Fri Aug 28 00:09:38 2026 filtering completed in 2 passes
  293. Fri Aug 28 00:09:43 2026 matrix is 40881226 x 40881399 (12499.8 MB) with weight 3872498487 (94.73/col)
  294. Fri Aug 28 00:09:43 2026 sparse part has weight 2786170648 (68.15/col)
  295. Fri Aug 28 00:10:34 2026 building matrix for density 80
  296. Fri Aug 28 00:10:37 2026 read 38747396 cycles
  297. Fri Aug 28 00:11:14 2026 cycles contain 116691842 unique relations
  298. Fri Aug 28 00:13:57 2026 read 116691842 relations
  299. Fri Aug 28 00:14:29 2026 using 20 quadratic characters above 4294917295
  300. Fri Aug 28 00:15:07 2026 building initial matrix
  301. Fri Aug 28 00:27:55 2026 memory use: 16481.2 MB
  302. Fri Aug 28 00:28:04 2026 read 38747396 cycles
  303. Fri Aug 28 00:28:08 2026 matrix is 38747218 x 38747396 (13186.2 MB) with weight 4065976453 (104.94/col)
  304. Fri Aug 28 00:28:08 2026 sparse part has weight 2991718199 (77.21/col)
  305. Fri Aug 28 00:32:03 2026 filtering completed in 2 passes
  306. Fri Aug 28 00:32:09 2026 matrix is 38735462 x 38735635 (13185.4 MB) with weight 4065581482 (104.96/col)
  307. Fri Aug 28 00:32:09 2026 sparse part has weight 2991637859 (77.23/col)
  308. Fri Aug 28 00:33:02 2026 building matrix for density 130
  309. Fri Aug 28 00:33:04 2026 read 32681396 cycles
  310. Fri Aug 28 00:33:45 2026 cycles contain 116749959 unique relations
  311. Fri Aug 28 00:36:05 2026 read 116749959 relations
  312. Fri Aug 28 00:36:42 2026 using 20 quadratic characters above 4294917295
  313. Fri Aug 28 00:37:19 2026 building initial matrix
  314. Fri Aug 28 00:53:28 2026 memory use: 16560.9 MB
  315. Fri Aug 28 00:53:37 2026 read 32681396 cycles
  316. Fri Aug 28 00:53:41 2026 matrix is 32681219 x 32681396 (16591.9 MB) with weight 5005326750 (153.16/col)
  317. Fri Aug 28 00:53:41 2026 sparse part has weight 3957281659 (121.09/col)
  318. Fri Aug 28 00:58:41 2026 filtering completed in 2 passes
  319. Fri Aug 28 00:58:48 2026 matrix is 32680598 x 32680772 (16591.8 MB) with weight 5005299032 (153.16/col)
  320. Fri Aug 28 00:58:48 2026 sparse part has weight 3957275224 (121.09/col)
  321. Fri Aug 28 00:59:46 2026 BLanczosTime: 4548
  322. Fri Aug 28 00:59:46 2026 elapsed time 03:48:30
  323. Fri Aug 28 23:52:09 2026
  324. Fri Aug 28 23:52:09 2026
  325. Fri Aug 28 23:52:09 2026 Msieve v. 1.54 (SVN unknown)
  326. Fri Aug 28 23:52:09 2026 random seeds: a3fc6280 6579a594
  327. Fri Aug 28 23:52:09 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits)
  328. Fri Aug 28 23:52:09 2026 no P-1/P+1/ECM available, skipping
  329. Fri Aug 28 23:52:09 2026 commencing number field sieve (197-digit input)
  330. Fri Aug 28 23:52:09 2026 R0: -111265838593733002967703032074764032798
  331. Fri Aug 28 23:52:09 2026 R1: 161205809665853656925149
  332. Fri Aug 28 23:52:09 2026 A0: -57474785231244374486856928419891414473597967990
  333. Fri Aug 28 23:52:09 2026 A1: 2163515722733065141089133812726405493612
  334. Fri Aug 28 23:52:09 2026 A2: 12363555516660333449575404509287
  335. Fri Aug 28 23:52:09 2026 A3: -381822161615191308772205
  336. Fri Aug 28 23:52:09 2026 A4: -799957204183584
  337. Fri Aug 28 23:52:09 2026 A5: 2882880
  338. Fri Aug 28 23:52:09 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5
  339. Fri Aug 28 23:52:09 2026
  340. Fri Aug 28 23:52:09 2026 commencing linear algebra
  341. Fri Aug 28 23:52:09 2026 using VBITS=256
  342. Fri Aug 28 23:52:09 2026 skipping matrix build
  343. Fri Aug 28 23:52:20 2026 matrix starts at (0, 0)
  344. Fri Aug 28 23:52:25 2026 matrix is 40881226 x 40881399 (12499.8 MB) with weight 3872498487 (94.73/col)
  345. Fri Aug 28 23:52:25 2026 sparse part has weight 2786170648 (68.15/col)
  346. Fri Aug 28 23:52:25 2026 saving the first 240 matrix rows for later
  347. Fri Aug 28 23:52:37 2026 matrix includes 256 packed rows
  348. Fri Aug 28 23:52:47 2026 matrix is 40880986 x 40881399 (11682.6 MB) with weight 2557538378 (62.56/col)
  349. Fri Aug 28 23:52:47 2026 sparse part has weight 2408422446 (58.91/col)
  350. Fri Aug 28 23:52:47 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  351. Fri Aug 28 23:52:47 2026 selected card has CUDA arch 12.0
  352. Fri Aug 28 23:52:48 2026 computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 58.9)
  353. Fri Aug 28 23:52:48 2026 nonzeros per matrix block: 256000000
  354. Sat Aug 29 00:00:53 2026 commencing Lanczos iteration
  355. Sat Aug 29 00:00:57 2026 memory use: 31474.6 MB
  356. Sat Aug 29 00:01:39 2026 linear algebra at 0.1%, ETA 14h27m
  357. Sat Aug 29 00:02:37 2026 checking every 40000 dimensions, checkpointing every 2880000 dimensions
  358. Sat Aug 29 14:22:01 2026 lanczos halted after 160170 iterations (dim = 40880984)
  359. Sat Aug 29 14:27:07 2026 recovered 30 nontrivial dependencies
  360. Sat Aug 29 14:27:08 2026 BLanczosTime: 52499
  361. Sat Aug 29 14:27:08 2026 elapsed time 14:34:59
  362. Sat Aug 29 11:05:49 2026
  363. Sat Aug 29 11:05:49 2026
  364. Sat Aug 29 11:05:49 2026 Msieve v. 1.54 (SVN unknown)
  365. Sat Aug 29 11:05:49 2026 random seeds: 0bf99a7e 2e920227
  366. Sat Aug 29 11:05:49 2026 Using 14 OpenMP threads
  367. Sat Aug 29 11:05:49 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits)
  368. Sat Aug 29 11:05:49 2026 no P-1/P+1/ECM available, skipping
  369. Sat Aug 29 11:05:49 2026 commencing number field sieve (197-digit input)
  370. Sat Aug 29 11:05:49 2026 R0: -111265838593733002967703032074764032798
  371. Sat Aug 29 11:05:49 2026 R1: 161205809665853656925149
  372. Sat Aug 29 11:05:49 2026 A0: -57474785231244374486856928419891414473597967990
  373. Sat Aug 29 11:05:49 2026 A1: 2163515722733065141089133812726405493612
  374. Sat Aug 29 11:05:49 2026 A2: 12363555516660333449575404509287
  375. Sat Aug 29 11:05:49 2026 A3: -381822161615191308772205
  376. Sat Aug 29 11:05:49 2026 A4: -799957204183584
  377. Sat Aug 29 11:05:49 2026 A5: 2882880
  378. Sat Aug 29 11:05:49 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5
  379. Sat Aug 29 11:05:49 2026
  380. Sat Aug 29 11:05:49 2026 commencing square root phase
  381. Sat Aug 29 11:05:49 2026 reading relations for dependency 1
  382. Sat Aug 29 11:05:53 2026 read 20438383 cycles
  383. Sat Aug 29 11:06:19 2026 cycles contain 58321410 unique relations
  384. Sat Aug 29 11:09:52 2026 read 58321410 relations
  385. Sat Aug 29 11:13:40 2026 multiplying 58321410 relations
  386. Sat Aug 29 11:20:08 2026 multiply complete, coefficients have about 3679.40 million bits
  387. Sat Aug 29 11:20:15 2026 initial square root is modulo 178801097
  388. Sat Aug 29 11:32:56 2026 GCD is 1, no factor found
  389. Sat Aug 29 11:32:56 2026 reading relations for dependency 2
  390. Sat Aug 29 11:32:58 2026 read 20445575 cycles
  391. Sat Aug 29 11:33:15 2026 cycles contain 58337498 unique relations
  392. Sat Aug 29 11:35:34 2026 read 58337498 relations
  393. Sat Aug 29 11:38:16 2026 multiplying 58337498 relations
  394. Sat Aug 29 11:44:40 2026 multiply complete, coefficients have about 3680.39 million bits
  395. Sat Aug 29 11:44:46 2026 initial square root is modulo 179711599
  396. Sat Aug 29 11:57:22 2026 GCD is N, no factor found
  397. Sat Aug 29 11:57:22 2026 reading relations for dependency 3
  398. Sat Aug 29 11:57:25 2026 read 20444364 cycles
  399. Sat Aug 29 11:57:42 2026 cycles contain 58337404 unique relations
  400. Sat Aug 29 11:59:52 2026 read 58337404 relations
  401. Sat Aug 29 12:02:37 2026 multiplying 58337404 relations
  402. Sat Aug 29 12:08:55 2026 multiply complete, coefficients have about 3680.38 million bits
  403. Sat Aug 29 12:09:01 2026 initial square root is modulo 179700811
  404. Sat Aug 29 12:21:34 2026 sqrtTime: 4545
  405. Sat Aug 29 12:21:34 2026 p81 factor: 169958479426516251781001620688945514095317244410976837277732855496501037592097883
  406. Sat Aug 29 12:21:34 2026 p117 factor: 144631465074884702832802115260741985248695067891202390311855503539201237921358385493863614299131940853926700752932637
  407. Sat Aug 29 12:21:34 2026 elapsed time 01:15:45
  408.  
Tags: math
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