kyleaskine

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Aug 28th, 2026
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  1. Thu Aug 27 09:02:03 2026
  2. Thu Aug 27 09:02:03 2026
  3. Thu Aug 27 09:02:03 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 27 09:02:03 2026 random seeds: 14bbc0b9 001a08af
  5. Thu Aug 27 09:02:03 2026 Using 8 OpenMP threads
  6. Thu Aug 27 09:02:03 2026 factoring 54845800274916130524764614249748295312786544759554525051500038440366194175202738771950623216927723821185886682101572612941049219224887989992988913221302709637532062278115307012541278752963161763 (194 digits)
  7. Thu Aug 27 09:02:04 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 27 09:02:04 2026 commencing number field sieve (194-digit input)
  9. Thu Aug 27 09:02:04 2026 R0: -27901840733202661685952950875663752366
  10. Thu Aug 27 09:02:04 2026 R1: 8671330080625179501871
  11. Thu Aug 27 09:02:04 2026 A0: -58141484147619819613543641895670936286210570
  12. Thu Aug 27 09:02:04 2026 A1: -9645885333375017206175410687896685637
  13. Thu Aug 27 09:02:04 2026 A2: 258490110919593239718740947614
  14. Thu Aug 27 09:02:04 2026 A3: -21983166783717871220299
  15. Thu Aug 27 09:02:04 2026 A4: 3807145924247148
  16. Thu Aug 27 09:02:04 2026 A5: 38918880
  17. Thu Aug 27 09:02:04 2026 skew 23618284.17, size 6.770e-19, alpha -7.461, combined = 1.398e-14 rroots = 3
  18. Thu Aug 27 09:02:04 2026
  19. Thu Aug 27 09:02:04 2026 commencing relation filtering
  20. Thu Aug 27 09:02:04 2026 setting 3 target densities:Thu Aug 27 09:02:04 2026 70Thu Aug 27 09:02:04 2026 90Thu Aug 27 09:02:04 2026 110Thu Aug 27 09:02:04 2026
  21. Thu Aug 27 09:02:04 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 27 09:02:04 2026 commencing duplicate removal, pass 1
  23. Thu Aug 27 09:23:57 2026 error -1 reading relation 682317957
  24. Thu Aug 27 09:23:59 2026 found 151006985 hash collisions in 682800924 relations
  25. Thu Aug 27 09:24:13 2026 commencing duplicate removal, pass 2
  26. Thu Aug 27 09:31:09 2026 found 168436876 duplicates and 514364048 unique relations
  27. Thu Aug 27 09:31:09 2026 memory use: 3411.0 MB
  28. Thu Aug 27 09:31:09 2026 reading ideals above 559874048
  29. Thu Aug 27 09:31:09 2026 commencing singleton removal, initial pass
  30. Thu Aug 27 09:43:53 2026 memory use: 11024.0 MB
  31. Thu Aug 27 09:43:53 2026 reading all ideals from disk
  32. Thu Aug 27 09:43:59 2026 memory use: 12508.1 MB
  33. Thu Aug 27 09:44:12 2026 commencing in-memory singleton removal
  34. Thu Aug 27 09:44:15 2026 begin with 514364048 relations and 426527796 unique ideals
  35. Thu Aug 27 09:44:46 2026 reduce to 322904941 relations and 215622999 ideals in 18 passes
  36. Thu Aug 27 09:44:46 2026 max relations containing the same ideal: 33
  37. Thu Aug 27 09:44:52 2026 reading ideals above 720000
  38. Thu Aug 27 09:44:53 2026 commencing singleton removal, initial pass
  39. Thu Aug 27 10:02:42 2026 memory use: 6024.0 MB
  40. Thu Aug 27 10:02:42 2026 reading all ideals from disk
  41. Thu Aug 27 10:03:07 2026 memory use: 16469.4 MB
  42. Thu Aug 27 10:03:30 2026 keeping 272571690 ideals with weight <= 200, target excess is 1684312
  43. Thu Aug 27 10:03:56 2026 commencing in-memory singleton removal
  44. Thu Aug 27 10:04:01 2026 begin with 322904941 relations and 272571690 unique ideals
  45. Thu Aug 27 10:04:30 2026 reduce to 322493171 relations and 272159821 ideals in 10 passes
  46. Thu Aug 27 10:04:30 2026 max relations containing the same ideal: 200
  47. Thu Aug 27 10:05:57 2026 removing 14438526 relations and 12438526 ideals in 2000000 cliques
  48. Thu Aug 27 10:06:03 2026 commencing in-memory singleton removal
  49. Thu Aug 27 10:06:07 2026 begin with 308054645 relations and 272159821 unique ideals
  50. Thu Aug 27 10:06:30 2026 reduce to 307573183 relations and 259235776 ideals in 9 passes
  51. Thu Aug 27 10:06:30 2026 max relations containing the same ideal: 199
  52. Thu Aug 27 10:07:50 2026 removing 10931322 relations and 8931322 ideals in 2000000 cliques
  53. Thu Aug 27 10:07:55 2026 commencing in-memory singleton removal
  54. Thu Aug 27 10:07:59 2026 begin with 296641861 relations and 259235776 unique ideals
  55. Thu Aug 27 10:08:25 2026 reduce to 296332779 relations and 249993164 ideals in 8 passes
  56. Thu Aug 27 10:08:25 2026 max relations containing the same ideal: 197
  57. Thu Aug 27 10:09:47 2026 removing 9824023 relations and 7824023 ideals in 2000000 cliques
  58. Thu Aug 27 10:09:51 2026 commencing in-memory singleton removal
  59. Thu Aug 27 10:09:56 2026 begin with 286508756 relations and 249993164 unique ideals
  60. Thu Aug 27 10:10:18 2026 reduce to 286246318 relations and 241904910 ideals in 7 passes
  61. Thu Aug 27 10:10:18 2026 max relations containing the same ideal: 194
  62. Thu Aug 27 10:11:44 2026 removing 9213497 relations and 7213497 ideals in 2000000 cliques
  63. Thu Aug 27 10:11:49 2026 commencing in-memory singleton removal
  64. Thu Aug 27 10:11:53 2026 begin with 277032821 relations and 241904910 unique ideals
  65. Thu Aug 27 10:12:15 2026 reduce to 276791808 relations and 234448770 ideals in 8 passes
  66. Thu Aug 27 10:12:15 2026 max relations containing the same ideal: 192
  67. Thu Aug 27 10:13:38 2026 removing 8807590 relations and 6807590 ideals in 2000000 cliques
  68. Thu Aug 27 10:13:42 2026 commencing in-memory singleton removal
  69. Thu Aug 27 10:13:46 2026 begin with 267984218 relations and 234448770 unique ideals
  70. Thu Aug 27 10:14:04 2026 reduce to 267754864 relations and 227410247 ideals in 8 passes
  71. Thu Aug 27 10:14:04 2026 max relations containing the same ideal: 189
  72. Thu Aug 27 10:15:14 2026 removing 8520300 relations and 6520300 ideals in 2000000 cliques
  73. Thu Aug 27 10:15:18 2026 commencing in-memory singleton removal
  74. Thu Aug 27 10:15:22 2026 begin with 259234564 relations and 227410247 unique ideals
  75. Thu Aug 27 10:15:37 2026 reduce to 259012641 relations and 220666480 ideals in 7 passes
  76. Thu Aug 27 10:15:37 2026 max relations containing the same ideal: 184
  77. Thu Aug 27 10:16:43 2026 removing 8301123 relations and 6301123 ideals in 2000000 cliques
  78. Thu Aug 27 10:16:47 2026 commencing in-memory singleton removal
  79. Thu Aug 27 10:16:51 2026 begin with 250711518 relations and 220666480 unique ideals
  80. Thu Aug 27 10:17:07 2026 reduce to 250495429 relations and 214147750 ideals in 8 passes
  81. Thu Aug 27 10:17:07 2026 max relations containing the same ideal: 181
  82. Thu Aug 27 10:18:13 2026 removing 8133125 relations and 6133125 ideals in 2000000 cliques
  83. Thu Aug 27 10:18:16 2026 commencing in-memory singleton removal
  84. Thu Aug 27 10:18:20 2026 begin with 242362304 relations and 214147750 unique ideals
  85. Thu Aug 27 10:18:35 2026 reduce to 242147361 relations and 207798160 ideals in 7 passes
  86. Thu Aug 27 10:18:35 2026 max relations containing the same ideal: 178
  87. Thu Aug 27 10:19:42 2026 removing 7999783 relations and 5999783 ideals in 2000000 cliques
  88. Thu Aug 27 10:19:46 2026 commencing in-memory singleton removal
  89. Thu Aug 27 10:19:49 2026 begin with 234147578 relations and 207798160 unique ideals
  90. Thu Aug 27 10:20:04 2026 reduce to 233933582 relations and 201582783 ideals in 7 passes
  91. Thu Aug 27 10:20:04 2026 max relations containing the same ideal: 172
  92. Thu Aug 27 10:21:13 2026 removing 7898145 relations and 5898145 ideals in 2000000 cliques
  93. Thu Aug 27 10:21:16 2026 commencing in-memory singleton removal
  94. Thu Aug 27 10:21:20 2026 begin with 226035437 relations and 201582783 unique ideals
  95. Thu Aug 27 10:21:33 2026 reduce to 225821006 relations and 195468508 ideals in 7 passes
  96. Thu Aug 27 10:21:33 2026 max relations containing the same ideal: 171
  97. Thu Aug 27 10:22:35 2026 removing 7817198 relations and 5817198 ideals in 2000000 cliques
  98. Thu Aug 27 10:22:39 2026 commencing in-memory singleton removal
  99. Thu Aug 27 10:22:42 2026 begin with 218003808 relations and 195468508 unique ideals
  100. Thu Aug 27 10:22:54 2026 reduce to 217785794 relations and 189431528 ideals in 7 passes
  101. Thu Aug 27 10:22:54 2026 max relations containing the same ideal: 167
  102. Thu Aug 27 10:23:54 2026 removing 7755217 relations and 5755217 ideals in 2000000 cliques
  103. Thu Aug 27 10:23:58 2026 commencing in-memory singleton removal
  104. Thu Aug 27 10:24:01 2026 begin with 210030577 relations and 189431528 unique ideals
  105. Thu Aug 27 10:24:11 2026 reduce to 209810120 relations and 183453979 ideals in 6 passes
  106. Thu Aug 27 10:24:11 2026 max relations containing the same ideal: 162
  107. Thu Aug 27 10:25:08 2026 removing 7706832 relations and 5706832 ideals in 2000000 cliques
  108. Thu Aug 27 10:25:11 2026 commencing in-memory singleton removal
  109. Thu Aug 27 10:25:14 2026 begin with 202103288 relations and 183453979 unique ideals
  110. Thu Aug 27 10:25:27 2026 reduce to 201878852 relations and 177520756 ideals in 7 passes
  111. Thu Aug 27 10:25:27 2026 max relations containing the same ideal: 157
  112. Thu Aug 27 10:26:22 2026 removing 7667120 relations and 5667120 ideals in 2000000 cliques
  113. Thu Aug 27 10:26:25 2026 commencing in-memory singleton removal
  114. Thu Aug 27 10:26:28 2026 begin with 194211732 relations and 177520756 unique ideals
  115. Thu Aug 27 10:26:39 2026 reduce to 193982307 relations and 171622207 ideals in 7 passes
  116. Thu Aug 27 10:26:39 2026 max relations containing the same ideal: 154
  117. Thu Aug 27 10:27:29 2026 removing 7648072 relations and 5648072 ideals in 2000000 cliques
  118. Thu Aug 27 10:27:32 2026 commencing in-memory singleton removal
  119. Thu Aug 27 10:27:35 2026 begin with 186334235 relations and 171622207 unique ideals
  120. Thu Aug 27 10:27:44 2026 reduce to 186096993 relations and 165734617 ideals in 6 passes
  121. Thu Aug 27 10:27:44 2026 max relations containing the same ideal: 151
  122. Thu Aug 27 10:28:34 2026 removing 7631291 relations and 5631291 ideals in 2000000 cliques
  123. Thu Aug 27 10:28:37 2026 commencing in-memory singleton removal
  124. Thu Aug 27 10:28:39 2026 begin with 178465702 relations and 165734617 unique ideals
  125. Thu Aug 27 10:28:49 2026 reduce to 178221551 relations and 159856830 ideals in 6 passes
  126. Thu Aug 27 10:28:49 2026 max relations containing the same ideal: 148
  127. Thu Aug 27 10:29:37 2026 removing 7621676 relations and 5621676 ideals in 2000000 cliques
  128. Thu Aug 27 10:29:40 2026 commencing in-memory singleton removal
  129. Thu Aug 27 10:29:42 2026 begin with 170599875 relations and 159856830 unique ideals
  130. Thu Aug 27 10:29:52 2026 reduce to 170349336 relations and 153982134 ideals in 7 passes
  131. Thu Aug 27 10:29:52 2026 max relations containing the same ideal: 145
  132. Thu Aug 27 10:30:38 2026 removing 7621668 relations and 5621668 ideals in 2000000 cliques
  133. Thu Aug 27 10:30:41 2026 commencing in-memory singleton removal
  134. Thu Aug 27 10:30:43 2026 begin with 162727668 relations and 153982134 unique ideals
  135. Thu Aug 27 10:30:52 2026 reduce to 162465126 relations and 148095173 ideals in 7 passes
  136. Thu Aug 27 10:30:52 2026 max relations containing the same ideal: 138
  137. Thu Aug 27 10:31:36 2026 removing 7631528 relations and 5631528 ideals in 2000000 cliques
  138. Thu Aug 27 10:31:39 2026 commencing in-memory singleton removal
  139. Thu Aug 27 10:31:41 2026 begin with 154833598 relations and 148095173 unique ideals
  140. Thu Aug 27 10:31:49 2026 reduce to 154559377 relations and 142186481 ideals in 6 passes
  141. Thu Aug 27 10:31:49 2026 max relations containing the same ideal: 135
  142. Thu Aug 27 10:32:30 2026 removing 7644912 relations and 5644912 ideals in 2000000 cliques
  143. Thu Aug 27 10:32:33 2026 commencing in-memory singleton removal
  144. Thu Aug 27 10:32:35 2026 begin with 146914465 relations and 142186481 unique ideals
  145. Thu Aug 27 10:32:44 2026 reduce to 146627127 relations and 136251042 ideals in 8 passes
  146. Thu Aug 27 10:32:44 2026 max relations containing the same ideal: 131
  147. Thu Aug 27 10:33:24 2026 removing 7670835 relations and 5670835 ideals in 2000000 cliques
  148. Thu Aug 27 10:33:25 2026 commencing in-memory singleton removal
  149. Thu Aug 27 10:33:27 2026 begin with 138956292 relations and 136251042 unique ideals
  150. Thu Aug 27 10:33:35 2026 reduce to 138653214 relations and 130273575 ideals in 7 passes
  151. Thu Aug 27 10:33:35 2026 max relations containing the same ideal: 129
  152. Thu Aug 27 10:34:14 2026 removing 7703325 relations and 5703325 ideals in 2000000 cliques
  153. Thu Aug 27 10:34:16 2026 commencing in-memory singleton removal
  154. Thu Aug 27 10:34:18 2026 begin with 130949889 relations and 130273575 unique ideals
  155. Thu Aug 27 10:34:25 2026 reduce to 130627957 relations and 124244351 ideals in 7 passes
  156. Thu Aug 27 10:34:25 2026 max relations containing the same ideal: 124
  157. Thu Aug 27 10:35:00 2026 removing 7745724 relations and 5745724 ideals in 2000000 cliques
  158. Thu Aug 27 10:35:02 2026 commencing in-memory singleton removal
  159. Thu Aug 27 10:35:04 2026 begin with 122882233 relations and 124244351 unique ideals
  160. Thu Aug 27 10:35:11 2026 reduce to 122535957 relations and 118147812 ideals in 7 passes
  161. Thu Aug 27 10:35:11 2026 max relations containing the same ideal: 117
  162. Thu Aug 27 10:35:45 2026 removing 7803008 relations and 5803008 ideals in 2000000 cliques
  163. Thu Aug 27 10:35:47 2026 commencing in-memory singleton removal
  164. Thu Aug 27 10:35:48 2026 begin with 114732949 relations and 118147812 unique ideals
  165. Thu Aug 27 10:35:55 2026 reduce to 114358343 relations and 111965108 ideals in 7 passes
  166. Thu Aug 27 10:35:55 2026 max relations containing the same ideal: 111
  167. Thu Aug 27 10:36:26 2026 removing 2253202 relations and 1813769 ideals in 439433 cliques
  168. Thu Aug 27 10:36:28 2026 commencing in-memory singleton removal
  169. Thu Aug 27 10:36:29 2026 begin with 112105141 relations and 111965108 unique ideals
  170. Thu Aug 27 10:36:34 2026 reduce to 112075852 relations and 110121963 ideals in 6 passes
  171. Thu Aug 27 10:36:34 2026 max relations containing the same ideal: 110
  172. Thu Aug 27 10:36:37 2026 trying target density 70
  173. Thu Aug 27 10:36:45 2026 relations with 0 large ideals: 6444
  174. Thu Aug 27 10:36:45 2026 relations with 1 large ideals: 16699
  175. Thu Aug 27 10:36:45 2026 relations with 2 large ideals: 277616
  176. Thu Aug 27 10:36:45 2026 relations with 3 large ideals: 2021270
  177. Thu Aug 27 10:36:45 2026 relations with 4 large ideals: 8010670
  178. Thu Aug 27 10:36:45 2026 relations with 5 large ideals: 19190259
  179. Thu Aug 27 10:36:45 2026 relations with 6 large ideals: 29102205
  180. Thu Aug 27 10:36:45 2026 relations with 7+ large ideals: 53450689
  181. Thu Aug 27 10:36:45 2026 commencing 2-way merge
  182. Thu Aug 27 10:37:38 2026 reduce to 73133931 relation sets and 71180042 unique ideals
  183. Thu Aug 27 10:37:38 2026 commencing full merge
  184. Thu Aug 27 10:49:15 2026 memory use: 8234.9 MB
  185. Thu Aug 27 10:49:21 2026 found 40675575 cycles, need 40406242
  186. Thu Aug 27 10:49:32 2026 weight of 40406242 cycles is about 2828560566 (70.00/cycle)
  187. Thu Aug 27 10:49:32 2026 distribution of cycle lengths:
  188. Thu Aug 27 10:49:32 2026 1 relations: 5419488
  189. Thu Aug 27 10:49:32 2026 2 relations: 5512217
  190. Thu Aug 27 10:49:32 2026 3 relations: 5481425
  191. Thu Aug 27 10:49:32 2026 4 relations: 5036976
  192. Thu Aug 27 10:49:32 2026 5 relations: 4488530
  193. Thu Aug 27 10:49:32 2026 6 relations: 3895463
  194. Thu Aug 27 10:49:32 2026 7 relations: 3221287
  195. Thu Aug 27 10:49:32 2026 8 relations: 2491255
  196. Thu Aug 27 10:49:32 2026 9 relations: 1816301
  197. Thu Aug 27 10:49:32 2026 10+ relations: 3043300
  198. Thu Aug 27 10:49:32 2026 heaviest cycle: 16 relations
  199. Thu Aug 27 10:49:39 2026 commencing cycle optimization
  200. Thu Aug 27 10:50:26 2026 start with 191391666 relations
  201. Thu Aug 27 10:53:15 2026 pruned 4206640 relations
  202. Thu Aug 27 10:53:18 2026 memory use: 6595.8 MB
  203. Thu Aug 27 10:53:18 2026 distribution of cycle lengths:
  204. Thu Aug 27 10:53:18 2026 1 relations: 5419488
  205. Thu Aug 27 10:53:18 2026 2 relations: 5628442
  206. Thu Aug 27 10:53:18 2026 3 relations: 5670182
  207. Thu Aug 27 10:53:18 2026 4 relations: 5146417
  208. Thu Aug 27 10:53:18 2026 5 relations: 4592348
  209. Thu Aug 27 10:53:18 2026 6 relations: 3938501
  210. Thu Aug 27 10:53:18 2026 7 relations: 3226787
  211. Thu Aug 27 10:53:18 2026 8 relations: 2440936
  212. Thu Aug 27 10:53:18 2026 9 relations: 1738217
  213. Thu Aug 27 10:53:18 2026 10+ relations: 2604924
  214. Thu Aug 27 10:53:18 2026 heaviest cycle: 16 relations
  215. Thu Aug 27 10:54:04 2026 trying target density 90
  216. Thu Aug 27 10:54:12 2026 relations with 0 large ideals: 6444
  217. Thu Aug 27 10:54:12 2026 relations with 1 large ideals: 16699
  218. Thu Aug 27 10:54:12 2026 relations with 2 large ideals: 277616
  219. Thu Aug 27 10:54:12 2026 relations with 3 large ideals: 2021270
  220. Thu Aug 27 10:54:12 2026 relations with 4 large ideals: 8010670
  221. Thu Aug 27 10:54:12 2026 relations with 5 large ideals: 19190259
  222. Thu Aug 27 10:54:12 2026 relations with 6 large ideals: 29102205
  223. Thu Aug 27 10:54:12 2026 relations with 7+ large ideals: 53450689
  224. Thu Aug 27 10:54:12 2026 commencing 2-way merge
  225. Thu Aug 27 10:55:16 2026 reduce to 73133931 relation sets and 71180042 unique ideals
  226. Thu Aug 27 10:55:16 2026 commencing full merge
  227. Thu Aug 27 11:13:10 2026 memory use: 8522.8 MB
  228. Thu Aug 27 11:13:19 2026 found 37091512 cycles, need 36824242
  229. Thu Aug 27 11:13:30 2026 weight of 36824242 cycles is about 3314674038 (90.01/cycle)
  230. Thu Aug 27 11:13:30 2026 distribution of cycle lengths:
  231. Thu Aug 27 11:13:30 2026 1 relations: 3188978
  232. Thu Aug 27 11:13:30 2026 2 relations: 3752345
  233. Thu Aug 27 11:13:30 2026 3 relations: 3995859
  234. Thu Aug 27 11:13:30 2026 4 relations: 3868761
  235. Thu Aug 27 11:13:30 2026 5 relations: 3668710
  236. Thu Aug 27 11:13:30 2026 6 relations: 3410674
  237. Thu Aug 27 11:13:30 2026 7 relations: 3073017
  238. Thu Aug 27 11:13:30 2026 8 relations: 2692765
  239. Thu Aug 27 11:13:30 2026 9 relations: 2277111
  240. Thu Aug 27 11:13:30 2026 10+ relations: 6896022
  241. Thu Aug 27 11:13:30 2026 heaviest cycle: 21 relations
  242. Thu Aug 27 11:13:39 2026 commencing cycle optimization
  243. Thu Aug 27 11:14:43 2026 start with 224170622 relations
  244. Thu Aug 27 11:20:06 2026 pruned 6886528 relations
  245. Thu Aug 27 11:20:09 2026 memory use: 6970.2 MB
  246. Thu Aug 27 11:20:10 2026 distribution of cycle lengths:
  247. Thu Aug 27 11:20:10 2026 1 relations: 3188978
  248. Thu Aug 27 11:20:10 2026 2 relations: 3844822
  249. Thu Aug 27 11:20:10 2026 3 relations: 4160607
  250. Thu Aug 27 11:20:10 2026 4 relations: 3992390
  251. Thu Aug 27 11:20:10 2026 5 relations: 3798763
  252. Thu Aug 27 11:20:10 2026 6 relations: 3503091
  253. Thu Aug 27 11:20:10 2026 7 relations: 3148235
  254. Thu Aug 27 11:20:10 2026 8 relations: 2725791
  255. Thu Aug 27 11:20:10 2026 9 relations: 2276465
  256. Thu Aug 27 11:20:10 2026 10+ relations: 6185100
  257. Thu Aug 27 11:20:10 2026 heaviest cycle: 21 relations
  258. Thu Aug 27 11:21:08 2026 trying target density 110
  259. Thu Aug 27 11:21:18 2026 relations with 0 large ideals: 6444
  260. Thu Aug 27 11:21:18 2026 relations with 1 large ideals: 16699
  261. Thu Aug 27 11:21:18 2026 relations with 2 large ideals: 277616
  262. Thu Aug 27 11:21:18 2026 relations with 3 large ideals: 2021270
  263. Thu Aug 27 11:21:18 2026 relations with 4 large ideals: 8010670
  264. Thu Aug 27 11:21:18 2026 relations with 5 large ideals: 19190259
  265. Thu Aug 27 11:21:18 2026 relations with 6 large ideals: 29102205
  266. Thu Aug 27 11:21:18 2026 relations with 7+ large ideals: 53450689
  267. Thu Aug 27 11:21:18 2026 commencing 2-way merge
  268. Thu Aug 27 11:22:32 2026 reduce to 73133931 relation sets and 71180042 unique ideals
  269. Thu Aug 27 11:22:32 2026 commencing full merge
  270. Thu Aug 27 11:45:23 2026 memory use: 8783.1 MB
  271. Thu Aug 27 11:45:29 2026 found 34658296 cycles, need 34416242
  272. Thu Aug 27 11:45:39 2026 weight of 34416242 cycles is about 3786300325 (110.01/cycle)
  273. Thu Aug 27 11:45:39 2026 distribution of cycle lengths:
  274. Thu Aug 27 11:45:39 2026 1 relations: 1988559
  275. Thu Aug 27 11:45:39 2026 2 relations: 2766565
  276. Thu Aug 27 11:45:39 2026 3 relations: 3066855
  277. Thu Aug 27 11:45:39 2026 4 relations: 3038343
  278. Thu Aug 27 11:45:39 2026 5 relations: 2984388
  279. Thu Aug 27 11:45:39 2026 6 relations: 2844893
  280. Thu Aug 27 11:45:39 2026 7 relations: 2712666
  281. Thu Aug 27 11:45:39 2026 8 relations: 2503038
  282. Thu Aug 27 11:45:39 2026 9 relations: 2260381
  283. Thu Aug 27 11:45:39 2026 10+ relations: 10250554
  284. Thu Aug 27 11:45:39 2026 heaviest cycle: 26 relations
  285. Thu Aug 27 11:45:46 2026 commencing cycle optimization
  286. Thu Aug 27 11:46:43 2026 start with 255339970 relations
  287. Thu Aug 27 11:54:23 2026 pruned 9737476 relations
  288. Thu Aug 27 11:54:27 2026 memory use: 7300.0 MB
  289. Thu Aug 27 11:54:27 2026 distribution of cycle lengths:
  290. Thu Aug 27 11:54:27 2026 1 relations: 1988559
  291. Thu Aug 27 11:54:27 2026 2 relations: 2840201
  292. Thu Aug 27 11:54:27 2026 3 relations: 3203232
  293. Thu Aug 27 11:54:27 2026 4 relations: 3153715
  294. Thu Aug 27 11:54:27 2026 5 relations: 3114288
  295. Thu Aug 27 11:54:27 2026 6 relations: 2953591
  296. Thu Aug 27 11:54:27 2026 7 relations: 2815590
  297. Thu Aug 27 11:54:27 2026 8 relations: 2580072
  298. Thu Aug 27 11:54:27 2026 9 relations: 2316942
  299. Thu Aug 27 11:54:27 2026 10+ relations: 9450052
  300. Thu Aug 27 11:54:27 2026 heaviest cycle: 24 relations
  301. Thu Aug 27 11:55:25 2026 RelProcTime: 10401
  302. Thu Aug 27 11:55:28 2026
  303. Thu Aug 27 11:55:28 2026 commencing linear algebra
  304. Thu Aug 27 11:55:28 2026 using VBITS=256
  305. Thu Aug 27 11:55:28 2026 building matrices for all densities
  306. Thu Aug 27 11:55:28 2026 found 3 density files
  307. Thu Aug 27 11:55:28 2026 building matrix for density 70
  308. Thu Aug 27 11:55:38 2026 read 40406242 cycles
  309. Thu Aug 27 11:56:29 2026 cycles contain 111087917 unique relations
  310. Thu Aug 27 12:03:45 2026 read 111087917 relations
  311. Thu Aug 27 12:04:18 2026 using 20 quadratic characters above 4294917295
  312. Thu Aug 27 12:04:56 2026 building initial matrix
  313. Thu Aug 27 12:18:40 2026 memory use: 15808.9 MB
  314. Thu Aug 27 12:18:49 2026 read 40406242 cycles
  315. Thu Aug 27 12:18:54 2026 matrix is 40406065 x 40406242 (12332.7 MB) with weight 3844318158 (95.14/col)
  316. Thu Aug 27 12:18:54 2026 sparse part has weight 2748072403 (68.01/col)
  317. Thu Aug 27 12:22:50 2026 filtering completed in 2 passes
  318. Thu Aug 27 12:22:56 2026 matrix is 40399416 x 40399592 (12332.3 MB) with weight 3844115219 (95.15/col)
  319. Thu Aug 27 12:22:56 2026 sparse part has weight 2748039224 (68.02/col)
  320. Thu Aug 27 12:24:01 2026 building matrix for density 90
  321. Thu Aug 27 12:24:04 2026 read 36824242 cycles
  322. Thu Aug 27 12:24:51 2026 cycles contain 111119218 unique relations
  323. Thu Aug 27 12:28:08 2026 read 111119218 relations
  324. Thu Aug 27 12:28:47 2026 using 20 quadratic characters above 4294917295
  325. Thu Aug 27 12:29:30 2026 building initial matrix
  326. Thu Aug 27 12:45:42 2026 memory use: 15818.2 MB
  327. Thu Aug 27 12:45:50 2026 read 36824242 cycles
  328. Thu Aug 27 12:45:55 2026 matrix is 36824065 x 36824242 (13784.1 MB) with weight 4254124388 (115.53/col)
  329. Thu Aug 27 12:45:55 2026 sparse part has weight 3171528151 (86.13/col)
  330. Thu Aug 27 12:50:14 2026 filtering completed in 2 passes
  331. Thu Aug 27 12:50:21 2026 matrix is 36820985 x 36821161 (13783.9 MB) with weight 4254014333 (115.53/col)
  332. Thu Aug 27 12:50:21 2026 sparse part has weight 3171506932 (86.13/col)
  333. Thu Aug 27 12:51:27 2026 building matrix for density 110
  334. Thu Aug 27 12:51:30 2026 read 34416242 cycles
  335. Thu Aug 27 12:52:19 2026 cycles contain 111132766 unique relations
  336. Thu Aug 27 12:55:26 2026 read 111132766 relations
  337. Thu Aug 27 12:56:06 2026 using 20 quadratic characters above 4294917295
  338. Thu Aug 27 12:56:47 2026 building initial matrix
  339. Thu Aug 27 13:17:25 2026 memory use: 15854.4 MB
  340. Thu Aug 27 13:18:46 2026 read 34416242 cycles
  341. Thu Aug 27 13:18:51 2026 matrix is 34416065 x 34416242 (15204.4 MB) with weight 4647929219 (135.05/col)
  342. Thu Aug 27 13:18:51 2026 sparse part has weight 3572760350 (103.81/col)
  343. Thu Aug 27 13:23:56 2026 filtering completed in 2 passes
  344. Thu Aug 27 13:24:04 2026 matrix is 34414549 x 34414725 (15204.3 MB) with weight 4647865924 (135.05/col)
  345. Thu Aug 27 13:24:04 2026 sparse part has weight 3572745132 (103.81/col)
  346. Thu Aug 27 13:25:32 2026 BLanczosTime: 5404
  347. Thu Aug 27 13:25:32 2026 elapsed time 04:23:29
  348. Fri Aug 28 01:12:13 2026
  349. Fri Aug 28 01:12:13 2026
  350. Fri Aug 28 01:12:13 2026 Msieve v. 1.54 (SVN unknown)
  351. Fri Aug 28 01:12:13 2026 random seeds: 397f9583 ffe3bda9
  352. Fri Aug 28 01:12:13 2026 factoring 54845800274916130524764614249748295312786544759554525051500038440366194175202738771950623216927723821185886682101572612941049219224887989992988913221302709637532062278115307012541278752963161763 (194 digits)
  353. Fri Aug 28 01:12:14 2026 no P-1/P+1/ECM available, skipping
  354. Fri Aug 28 01:12:14 2026 commencing number field sieve (194-digit input)
  355. Fri Aug 28 01:12:14 2026 R0: -27901840733202661685952950875663752366
  356. Fri Aug 28 01:12:14 2026 R1: 8671330080625179501871
  357. Fri Aug 28 01:12:14 2026 A0: -58141484147619819613543641895670936286210570
  358. Fri Aug 28 01:12:14 2026 A1: -9645885333375017206175410687896685637
  359. Fri Aug 28 01:12:14 2026 A2: 258490110919593239718740947614
  360. Fri Aug 28 01:12:14 2026 A3: -21983166783717871220299
  361. Fri Aug 28 01:12:14 2026 A4: 3807145924247148
  362. Fri Aug 28 01:12:14 2026 A5: 38918880
  363. Fri Aug 28 01:12:14 2026 skew 23618284.17, size 6.770e-19, alpha -7.461, combined = 1.398e-14 rroots = 3
  364. Fri Aug 28 01:12:14 2026
  365. Fri Aug 28 01:12:14 2026 commencing linear algebra
  366. Fri Aug 28 01:12:14 2026 using VBITS=256
  367. Fri Aug 28 01:12:14 2026 skipping matrix build
  368. Fri Aug 28 01:12:22 2026 matrix starts at (0, 0)
  369. Fri Aug 28 01:12:33 2026 matrix is 40399416 x 40399592 (12332.3 MB) with weight 3844115219 (95.15/col)
  370. Fri Aug 28 01:12:33 2026 sparse part has weight 2748039224 (68.02/col)
  371. Fri Aug 28 01:12:33 2026 saving the first 240 matrix rows for later
  372. Fri Aug 28 01:12:49 2026 matrix includes 256 packed rows
  373. Fri Aug 28 01:13:00 2026 matrix is 40399176 x 40399592 (11531.2 MB) with weight 2514798820 (62.25/col)
  374. Fri Aug 28 01:13:00 2026 sparse part has weight 2376452457 (58.82/col)
  375. Fri Aug 28 01:13:00 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  376. Fri Aug 28 01:13:00 2026 selected card has CUDA arch 12.0
  377. Fri Aug 28 01:13:00 2026 computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 58.8)
  378. Fri Aug 28 01:13:00 2026 nonzeros per matrix block: 256000000
  379. Fri Aug 28 01:20:27 2026 commencing Lanczos iteration
  380. Fri Aug 28 01:20:30 2026 memory use: 31076.3 MB
  381. Fri Aug 28 01:21:11 2026 linear algebra at 0.1%, ETA 13h54m
  382. Fri Aug 28 01:22:09 2026 checking every 40000 dimensions, checkpointing every 2920000 dimensions
  383. Fri Aug 28 15:21:49 2026 lanczos halted after 158283 iterations (dim = 40399174)
  384. Fri Aug 28 15:27:49 2026 recovered 30 nontrivial dependencies
  385. Fri Aug 28 15:27:51 2026 BLanczosTime: 51337
  386. Fri Aug 28 15:27:51 2026 elapsed time 14:15:38
  387. Fri Aug 28 11:47:06 2026
  388. Fri Aug 28 11:47:06 2026
  389. Fri Aug 28 11:47:06 2026 Msieve v. 1.54 (SVN unknown)
  390. Fri Aug 28 11:47:06 2026 random seeds: bef8f318 ad9043c2
  391. Fri Aug 28 11:47:06 2026 Using 14 OpenMP threads
  392. Fri Aug 28 11:47:06 2026 factoring 54845800274916130524764614249748295312786544759554525051500038440366194175202738771950623216927723821185886682101572612941049219224887989992988913221302709637532062278115307012541278752963161763 (194 digits)
  393. Fri Aug 28 11:47:06 2026 no P-1/P+1/ECM available, skipping
  394. Fri Aug 28 11:47:06 2026 commencing number field sieve (194-digit input)
  395. Fri Aug 28 11:47:06 2026 R0: -27901840733202661685952950875663752366
  396. Fri Aug 28 11:47:06 2026 R1: 8671330080625179501871
  397. Fri Aug 28 11:47:06 2026 A0: -58141484147619819613543641895670936286210570
  398. Fri Aug 28 11:47:06 2026 A1: -9645885333375017206175410687896685637
  399. Fri Aug 28 11:47:06 2026 A2: 258490110919593239718740947614
  400. Fri Aug 28 11:47:06 2026 A3: -21983166783717871220299
  401. Fri Aug 28 11:47:06 2026 A4: 3807145924247148
  402. Fri Aug 28 11:47:06 2026 A5: 38918880
  403. Fri Aug 28 11:47:06 2026 skew 23618284.17, size 6.770e-19, alpha -7.461, combined = 1.398e-14 rroots = 3
  404. Fri Aug 28 11:47:06 2026
  405. Fri Aug 28 11:47:06 2026 commencing square root phase
  406. Fri Aug 28 11:47:06 2026 reading relations for dependency 1
  407. Fri Aug 28 11:47:24 2026 read 20198792 cycles
  408. Fri Aug 28 11:47:47 2026 cycles contain 55546916 unique relations
  409. Fri Aug 28 12:03:29 2026 read 55546916 relations
  410. Fri Aug 28 12:06:17 2026 multiplying 55546916 relations
  411. Fri Aug 28 12:12:34 2026 multiply complete, coefficients have about 3646.11 million bits
  412. Fri Aug 28 12:12:41 2026 initial square root is modulo 150551129
  413. Fri Aug 28 12:25:18 2026 GCD is N, no factor found
  414. Fri Aug 28 12:25:18 2026 reading relations for dependency 2
  415. Fri Aug 28 12:25:20 2026 read 20199826 cycles
  416. Fri Aug 28 12:25:36 2026 cycles contain 55543276 unique relations
  417. Fri Aug 28 12:28:22 2026 read 55543276 relations
  418. Fri Aug 28 12:30:58 2026 multiplying 55543276 relations
  419. Fri Aug 28 12:37:15 2026 multiply complete, coefficients have about 3645.87 million bits
  420. Fri Aug 28 12:37:20 2026 initial square root is modulo 150367027
  421. Fri Aug 28 12:49:53 2026 sqrtTime: 3767
  422. Fri Aug 28 12:49:53 2026 p58 factor: 1693464620970096231211204296117510478302953676459143926993
  423. Fri Aug 28 12:49:53 2026 p137 factor: 32386741119810270983531815428057692000161904135435873291064129995047326400043666962998207441139119157023800706895348690281136101557827891
  424. Fri Aug 28 12:49:53 2026 elapsed time 01:02:47
  425.  
Tags: math
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