kyleaskine

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Jul 20th, 2026
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  1. Sun Jul 19 14:59:04 2026
  2. Sun Jul 19 14:59:04 2026
  3. Sun Jul 19 14:59:04 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jul 19 14:59:04 2026 random seeds: dfa003d6 aa0d7cf8
  5. Sun Jul 19 14:59:04 2026 Using 15 OpenMP threads
  6. Sun Jul 19 14:59:04 2026 factoring 10113954987846947258450428694138589220793807411496909306904306618598014524780015461838062679397972470239414281529785387843251343811092276085425221751629098572842354338856170220355532607809 (188 digits)
  7. Sun Jul 19 14:59:02 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jul 19 14:59:02 2026 commencing number field sieve (188-digit input)
  9. Sun Jul 19 14:59:02 2026 R0: -1948211055875445937431137093651746168
  10. Sun Jul 19 14:59:02 2026 R1: 46867436723776531928537
  11. Sun Jul 19 14:59:02 2026 A0: 203751529354046146301360607122118631183874250
  12. Sun Jul 19 14:59:02 2026 A1: 11311563277875574113666148414235379791
  13. Sun Jul 19 14:59:02 2026 A2: -552361578741327404575202825690
  14. Sun Jul 19 14:59:02 2026 A3: -10605128374800665040351
  15. Sun Jul 19 14:59:02 2026 A4: 304929858937344
  16. Sun Jul 19 14:59:02 2026 A5: 720720
  17. Sun Jul 19 14:59:02 2026 skew 42646383.34, size 3.423e-18, alpha -7.344, combined = 3.737e-14 rroots = 5
  18. Sun Jul 19 14:59:02 2026
  19. Sun Jul 19 14:59:02 2026 commencing relation filtering
  20. Sun Jul 19 14:59:02 2026 setting 5 target densities:Sun Jul 19 14:59:02 2026 70Sun Jul 19 14:59:02 2026 80Sun Jul 19 14:59:02 2026 100Sun Jul 19 14:59:02 2026 120Sun Jul 19 14:59:02 2026 130Sun Jul 19 14:59:02 2026
  21. Sun Jul 19 14:59:02 2026 estimated available RAM is 78540.1 MB
  22. Sun Jul 19 14:59:02 2026 commencing duplicate removal, pass 1
  23. Sun Jul 19 14:59:23 2026 error -1 reading relation 8569565
  24. Sun Jul 19 14:59:38 2026 error -1 reading relation 15588206
  25. Sun Jul 19 14:59:40 2026 error -1 reading relation 16261817
  26. Sun Jul 19 15:00:22 2026 error -1 reading relation 34572885
  27. Sun Jul 19 15:00:31 2026 error -1 reading relation 39019381
  28. Sun Jul 19 15:00:31 2026 error -1 reading relation 39084138
  29. Sun Jul 19 15:00:41 2026 error -1 reading relation 45295684
  30. Sun Jul 19 15:00:45 2026 error -1 reading relation 47520926
  31. Sun Jul 19 15:00:47 2026 error -1 reading relation 48616112
  32. Sun Jul 19 15:00:52 2026 error -1 reading relation 51100252
  33. Sun Jul 19 15:02:05 2026 error -1 reading relation 91396427
  34. Sun Jul 19 15:02:16 2026 error -1 reading relation 98282172
  35. Sun Jul 19 15:02:26 2026 error -1 reading relation 103453907
  36. Sun Jul 19 15:02:30 2026 error -1 reading relation 105418905
  37. Sun Jul 19 15:03:23 2026 error -1 reading relation 135270526
  38. Sun Jul 19 15:03:24 2026 error -1 reading relation 135971599
  39. Sun Jul 19 15:03:36 2026 error -1 reading relation 142854738
  40. Sun Jul 19 15:03:53 2026 error -1 reading relation 151357254
  41. Sun Jul 19 15:03:55 2026 error -1 reading relation 152168887
  42. Sun Jul 19 15:03:57 2026 error -1 reading relation 153610304
  43. Sun Jul 19 15:04:06 2026 error -1 reading relation 157820446
  44. Sun Jul 19 15:04:06 2026 error -1 reading relation 159187650
  45. Sun Jul 19 15:04:42 2026 error -1 reading relation 178372245
  46. Sun Jul 19 15:04:43 2026 error -1 reading relation 179014125
  47. Sun Jul 19 15:04:45 2026 error -1 reading relation 180348119
  48. Sun Jul 19 15:05:01 2026 error -1 reading relation 188160299
  49. Sun Jul 19 15:05:10 2026 error -15 reading relation 193937482
  50. Sun Jul 19 15:05:18 2026 error -1 reading relation 197875529
  51. Sun Jul 19 15:05:18 2026 error -1 reading relation 198138197
  52. Sun Jul 19 15:05:19 2026 error -1 reading relation 198640003
  53. Sun Jul 19 15:05:19 2026 error -1 reading relation 198673812
  54. Sun Jul 19 15:05:21 2026 error -1 reading relation 199533245
  55. Sun Jul 19 15:05:30 2026 error -1 reading relation 204026060
  56. Sun Jul 19 15:05:35 2026 error -1 reading relation 206862288
  57. Sun Jul 19 15:05:54 2026 error -1 reading relation 217681328
  58. Sun Jul 19 15:05:57 2026 error -1 reading relation 218799579
  59. Sun Jul 19 15:06:02 2026 error -1 reading relation 221267836
  60. Sun Jul 19 15:07:07 2026 error -1 reading relation 257659468
  61. Sun Jul 19 15:07:47 2026 error -1 reading relation 279019942
  62. Sun Jul 19 15:07:55 2026 error -1 reading relation 282804651
  63. Sun Jul 19 15:08:06 2026 error -1 reading relation 289426130
  64. Sun Jul 19 15:08:12 2026 error -1 reading relation 292744183
  65. Sun Jul 19 15:08:16 2026 error -1 reading relation 294336439
  66. Sun Jul 19 15:08:19 2026 error -1 reading relation 296075776
  67. Sun Jul 19 15:08:21 2026 error -1 reading relation 297089439
  68. Sun Jul 19 15:08:52 2026 error -1 reading relation 313474631
  69. Sun Jul 19 15:08:55 2026 error -1 reading relation 314965070
  70. Sun Jul 19 15:08:59 2026 error -1 reading relation 317378766
  71. Sun Jul 19 15:09:00 2026 error -1 reading relation 317735060
  72. Sun Jul 19 15:09:23 2026 error -1 reading relation 330474526
  73. Sun Jul 19 15:09:37 2026 error -1 reading relation 337767196
  74. Sun Jul 19 15:10:14 2026 error -1 reading relation 358827105
  75. Sun Jul 19 15:10:14 2026 error -1 reading relation 359176868
  76. Sun Jul 19 15:10:19 2026 error -15 reading relation 361664226
  77. Sun Jul 19 15:10:28 2026 error -1 reading relation 365950660
  78. Sun Jul 19 15:10:29 2026 error -1 reading relation 366547071
  79. Sun Jul 19 15:10:29 2026 error -1 reading relation 366706018
  80. Sun Jul 19 15:10:30 2026 error -1 reading relation 367180058
  81. Sun Jul 19 15:10:31 2026 error -15 reading relation 367584469
  82. Sun Jul 19 15:10:32 2026 error -1 reading relation 367975811
  83. Sun Jul 19 15:11:09 2026 error -1 reading relation 388964649
  84. Sun Jul 19 15:11:14 2026 error -1 reading relation 391485762
  85. Sun Jul 19 15:11:17 2026 error -1 reading relation 392728071
  86. Sun Jul 19 15:11:20 2026 error -1 reading relation 394430413
  87. Sun Jul 19 15:11:36 2026 error -1 reading relation 402334769
  88. Sun Jul 19 15:11:37 2026 error -1 reading relation 403899281
  89. Sun Jul 19 15:11:51 2026 error -1 reading relation 411269812
  90. Sun Jul 19 15:12:01 2026 error -11 reading relation 416174726
  91. Sun Jul 19 15:12:18 2026 error -1 reading relation 426042570
  92. Sun Jul 19 15:12:27 2026 error -1 reading relation 430732697
  93. Sun Jul 19 15:12:57 2026 error -1 reading relation 447450674
  94. Sun Jul 19 15:13:11 2026 error -1 reading relation 455705459
  95. Sun Jul 19 15:13:18 2026 error -1 reading relation 459423623
  96. Sun Jul 19 15:13:26 2026 error -1 reading relation 464092887
  97. Sun Jul 19 15:13:29 2026 error -1 reading relation 465581916
  98. Sun Jul 19 15:13:31 2026 error -1 reading relation 466935104
  99. Sun Jul 19 15:13:32 2026 error -15 reading relation 467401697
  100. Sun Jul 19 15:13:32 2026 error -1 reading relation 467401698
  101. Sun Jul 19 15:13:38 2026 error -15 reading relation 470447043
  102. Sun Jul 19 15:13:54 2026 error -1 reading relation 480462425
  103. Sun Jul 19 15:13:55 2026 error -1 reading relation 481069058
  104. Sun Jul 19 15:14:34 2026 error -1 reading relation 503685761
  105. Sun Jul 19 15:14:34 2026 error -1 reading relation 504036230
  106. Sun Jul 19 15:14:38 2026 error -1 reading relation 506320305
  107. Sun Jul 19 15:14:37 2026 error -1 reading relation 506736815
  108. Sun Jul 19 15:14:41 2026 error -1 reading relation 508560025
  109. Sun Jul 19 15:14:42 2026 error -1 reading relation 509450022
  110. Sun Jul 19 15:14:48 2026 error -1 reading relation 512904733
  111. Sun Jul 19 15:15:06 2026 error -1 reading relation 527455107
  112. Sun Jul 19 15:15:09 2026 error -1 reading relation 531113006
  113. Sun Jul 19 15:15:19 2026 error -1 reading relation 538700966
  114. Sun Jul 19 15:15:19 2026 error -1 reading relation 539064407
  115. Sun Jul 19 15:15:30 2026 error -1 reading relation 547528408
  116. Sun Jul 19 15:15:30 2026 error -1 reading relation 547563176
  117. Sun Jul 19 15:15:31 2026 error -1 reading relation 547955384
  118. Sun Jul 19 15:16:02 2026 error -1 reading relation 574757684
  119. Sun Jul 19 15:16:05 2026 error -1 reading relation 577380657
  120. Sun Jul 19 15:16:14 2026 error -1 reading relation 586210288
  121. Sun Jul 19 15:16:22 2026 error -1 reading relation 592204972
  122. Sun Jul 19 15:16:24 2026 error -1 reading relation 593846156
  123. Sun Jul 19 15:16:24 2026 error -1 reading relation 593846378
  124. Sun Jul 19 15:16:26 2026 error -1 reading relation 595508965
  125. Sun Jul 19 15:16:39 2026 error -1 reading relation 604594171
  126. Sun Jul 19 15:16:42 2026 error -1 reading relation 606589174
  127. Sun Jul 19 15:16:50 2026 error -1 reading relation 611447049
  128. Sun Jul 19 15:16:57 2026 error -1 reading relation 615790176
  129. Sun Jul 19 15:17:01 2026 error -1 reading relation 617894201
  130. Sun Jul 19 15:17:05 2026 error -1 reading relation 620481208
  131. Sun Jul 19 15:17:15 2026 error -1 reading relation 628135056
  132. Sun Jul 19 15:17:16 2026 error -1 reading relation 628422426
  133. Sun Jul 19 15:17:22 2026 error -1 reading relation 632389490
  134. Sun Jul 19 15:17:25 2026 error -1 reading relation 634288197
  135. Sun Jul 19 15:17:27 2026 error -1 reading relation 635723078
  136. Sun Jul 19 15:17:28 2026 error -1 reading relation 635897052
  137. Sun Jul 19 15:17:35 2026 error -1 reading relation 640496387
  138. Sun Jul 19 15:17:39 2026 error -1 reading relation 642843497
  139. Sun Jul 19 15:17:40 2026 error -1 reading relation 644583009
  140. Sun Jul 19 15:17:43 2026 error -1 reading relation 646599425
  141. Sun Jul 19 15:17:50 2026 error -1 reading relation 650500192
  142. Sun Jul 19 15:17:51 2026 error -1 reading relation 651065361
  143. Sun Jul 19 15:17:57 2026 error -1 reading relation 654964451
  144. Sun Jul 19 15:17:57 2026 error -1 reading relation 655096078
  145. Sun Jul 19 15:17:58 2026 error -1 reading relation 655099856
  146. Sun Jul 19 15:18:09 2026 skipped 4 relations with composite factors
  147. Sun Jul 19 15:18:09 2026 skipped 807 malformed relations
  148. Sun Jul 19 15:18:09 2026 found 136753295 hash collisions in 662029920 relations
  149. Sun Jul 19 15:18:22 2026 added 122286 free relations
  150. Sun Jul 19 15:18:22 2026 commencing duplicate removal, pass 2
  151. Sun Jul 19 15:29:21 2026 found 145650562 duplicates and 516501644 unique relations
  152. Sun Jul 19 15:29:21 2026 memory use: 3411.0 MB
  153. Sun Jul 19 15:29:21 2026 reading ideals above 285933568
  154. Sun Jul 19 15:29:21 2026 commencing singleton removal, initial pass
  155. Sun Jul 19 15:47:57 2026 memory use: 11024.0 MB
  156. Sun Jul 19 15:47:58 2026 reading all ideals from disk
  157. Sun Jul 19 15:48:05 2026 memory use: 13499.2 MB
  158. Sun Jul 19 15:48:20 2026 commencing in-memory singleton removal
  159. Sun Jul 19 15:48:24 2026 begin with 516501644 relations and 447734630 unique ideals
  160. Sun Jul 19 15:48:49 2026 reduce to 322428237 relations and 233564841 ideals in 14 passes
  161. Sun Jul 19 15:48:49 2026 max relations containing the same ideal: 34
  162. Sun Jul 19 15:48:55 2026 reading ideals above 720000
  163. Sun Jul 19 15:48:56 2026 commencing singleton removal, initial pass
  164. Sun Jul 19 16:03:42 2026 memory use: 6024.0 MB
  165. Sun Jul 19 16:03:42 2026 reading all ideals from disk
  166. Sun Jul 19 16:03:48 2026 memory use: 16043.1 MB
  167. Sun Jul 19 16:04:07 2026 keeping 262979008 ideals with weight <= 200, target excess is 1644167
  168. Sun Jul 19 16:04:32 2026 commencing in-memory singleton removal
  169. Sun Jul 19 16:04:37 2026 begin with 322428237 relations and 262979008 unique ideals
  170. Sun Jul 19 16:04:52 2026 reduce to 322423123 relations and 262973894 ideals in 7 passes
  171. Sun Jul 19 16:04:52 2026 max relations containing the same ideal: 200
  172. Sun Jul 19 16:06:21 2026 removing 13963087 relations and 11963087 ideals in 2000000 cliques
  173. Sun Jul 19 16:06:27 2026 commencing in-memory singleton removal
  174. Sun Jul 19 16:06:31 2026 begin with 308460036 relations and 262973894 unique ideals
  175. Sun Jul 19 16:06:49 2026 reduce to 308012017 relations and 250558890 ideals in 8 passes
  176. Sun Jul 19 16:06:49 2026 max relations containing the same ideal: 200
  177. Sun Jul 19 16:08:13 2026 removing 10558032 relations and 8558032 ideals in 2000000 cliques
  178. Sun Jul 19 16:08:18 2026 commencing in-memory singleton removal
  179. Sun Jul 19 16:08:20 2026 begin with 297453985 relations and 250558890 unique ideals
  180. Sun Jul 19 16:08:39 2026 reduce to 297168651 relations and 241713503 ideals in 8 passes
  181. Sun Jul 19 16:08:39 2026 max relations containing the same ideal: 197
  182. Sun Jul 19 16:09:55 2026 removing 9483127 relations and 7483127 ideals in 2000000 cliques
  183. Sun Jul 19 16:10:00 2026 commencing in-memory singleton removal
  184. Sun Jul 19 16:10:03 2026 begin with 287685524 relations and 241713503 unique ideals
  185. Sun Jul 19 16:10:20 2026 reduce to 287441722 relations and 233984823 ideals in 7 passes
  186. Sun Jul 19 16:10:20 2026 max relations containing the same ideal: 194
  187. Sun Jul 19 16:11:32 2026 removing 8883876 relations and 6883876 ideals in 2000000 cliques
  188. Sun Jul 19 16:11:37 2026 commencing in-memory singleton removal
  189. Sun Jul 19 16:11:41 2026 begin with 278557846 relations and 233984823 unique ideals
  190. Sun Jul 19 16:11:56 2026 reduce to 278334053 relations and 226875617 ideals in 8 passes
  191. Sun Jul 19 16:11:56 2026 max relations containing the same ideal: 192
  192. Sun Jul 19 16:13:08 2026 removing 8479953 relations and 6479953 ideals in 2000000 cliques
  193. Sun Jul 19 16:13:13 2026 commencing in-memory singleton removal
  194. Sun Jul 19 16:13:16 2026 begin with 269854100 relations and 226875617 unique ideals
  195. Sun Jul 19 16:13:29 2026 reduce to 269642680 relations and 220182751 ideals in 7 passes
  196. Sun Jul 19 16:13:29 2026 max relations containing the same ideal: 189
  197. Sun Jul 19 16:14:40 2026 removing 8189131 relations and 6189131 ideals in 2000000 cliques
  198. Sun Jul 19 16:14:44 2026 commencing in-memory singleton removal
  199. Sun Jul 19 16:14:47 2026 begin with 261453549 relations and 220182751 unique ideals
  200. Sun Jul 19 16:14:59 2026 reduce to 261250678 relations and 213789332 ideals in 7 passes
  201. Sun Jul 19 16:14:59 2026 max relations containing the same ideal: 186
  202. Sun Jul 19 16:16:08 2026 removing 7972004 relations and 5972004 ideals in 2000000 cliques
  203. Sun Jul 19 16:16:12 2026 commencing in-memory singleton removal
  204. Sun Jul 19 16:16:15 2026 begin with 253278674 relations and 213789332 unique ideals
  205. Sun Jul 19 16:16:25 2026 reduce to 253079406 relations and 207616595 ideals in 6 passes
  206. Sun Jul 19 16:16:25 2026 max relations containing the same ideal: 181
  207. Sun Jul 19 16:17:31 2026 removing 7807603 relations and 5807603 ideals in 2000000 cliques
  208. Sun Jul 19 16:17:35 2026 commencing in-memory singleton removal
  209. Sun Jul 19 16:17:38 2026 begin with 245271803 relations and 207616595 unique ideals
  210. Sun Jul 19 16:17:49 2026 reduce to 245074400 relations and 201610192 ideals in 7 passes
  211. Sun Jul 19 16:17:49 2026 max relations containing the same ideal: 179
  212. Sun Jul 19 16:18:53 2026 removing 7674516 relations and 5674516 ideals in 2000000 cliques
  213. Sun Jul 19 16:18:57 2026 commencing in-memory singleton removal
  214. Sun Jul 19 16:19:00 2026 begin with 237399884 relations and 201610192 unique ideals
  215. Sun Jul 19 16:19:13 2026 reduce to 237203565 relations and 195737805 ideals in 7 passes
  216. Sun Jul 19 16:19:13 2026 max relations containing the same ideal: 175
  217. Sun Jul 19 16:20:14 2026 removing 7570537 relations and 5570537 ideals in 2000000 cliques
  218. Sun Jul 19 16:20:18 2026 commencing in-memory singleton removal
  219. Sun Jul 19 16:20:19 2026 begin with 229633028 relations and 195737805 unique ideals
  220. Sun Jul 19 16:20:34 2026 reduce to 229435389 relations and 189968145 ideals in 9 passes
  221. Sun Jul 19 16:20:34 2026 max relations containing the same ideal: 173
  222. Sun Jul 19 16:21:34 2026 removing 7488433 relations and 5488433 ideals in 2000000 cliques
  223. Sun Jul 19 16:21:38 2026 commencing in-memory singleton removal
  224. Sun Jul 19 16:21:40 2026 begin with 221946956 relations and 189968145 unique ideals
  225. Sun Jul 19 16:21:50 2026 reduce to 221748125 relations and 184279198 ideals in 7 passes
  226. Sun Jul 19 16:21:50 2026 max relations containing the same ideal: 168
  227. Sun Jul 19 16:22:49 2026 removing 7421372 relations and 5421372 ideals in 2000000 cliques
  228. Sun Jul 19 16:22:52 2026 commencing in-memory singleton removal
  229. Sun Jul 19 16:22:55 2026 begin with 214326753 relations and 184279198 unique ideals
  230. Sun Jul 19 16:23:07 2026 reduce to 214125372 relations and 178654798 ideals in 7 passes
  231. Sun Jul 19 16:23:07 2026 max relations containing the same ideal: 165
  232. Sun Jul 19 16:24:03 2026 removing 7371653 relations and 5371653 ideals in 2000000 cliques
  233. Sun Jul 19 16:24:06 2026 commencing in-memory singleton removal
  234. Sun Jul 19 16:24:09 2026 begin with 206753719 relations and 178654798 unique ideals
  235. Sun Jul 19 16:24:20 2026 reduce to 206547608 relations and 173075250 ideals in 7 passes
  236. Sun Jul 19 16:24:20 2026 max relations containing the same ideal: 160
  237. Sun Jul 19 16:25:14 2026 removing 7334009 relations and 5334009 ideals in 2000000 cliques
  238. Sun Jul 19 16:25:17 2026 commencing in-memory singleton removal
  239. Sun Jul 19 16:25:20 2026 begin with 199213599 relations and 173075250 unique ideals
  240. Sun Jul 19 16:25:27 2026 reduce to 199003023 relations and 167528747 ideals in 6 passes
  241. Sun Jul 19 16:25:27 2026 max relations containing the same ideal: 156
  242. Sun Jul 19 16:26:19 2026 removing 7302532 relations and 5302532 ideals in 2000000 cliques
  243. Sun Jul 19 16:26:22 2026 commencing in-memory singleton removal
  244. Sun Jul 19 16:26:24 2026 begin with 191700491 relations and 167528747 unique ideals
  245. Sun Jul 19 16:26:35 2026 reduce to 191483670 relations and 162007356 ideals in 7 passes
  246. Sun Jul 19 16:26:35 2026 max relations containing the same ideal: 152
  247. Sun Jul 19 16:27:25 2026 removing 7291374 relations and 5291374 ideals in 2000000 cliques
  248. Sun Jul 19 16:27:28 2026 commencing in-memory singleton removal
  249. Sun Jul 19 16:27:31 2026 begin with 184192296 relations and 162007356 unique ideals
  250. Sun Jul 19 16:27:41 2026 reduce to 183969457 relations and 156490970 ideals in 7 passes
  251. Sun Jul 19 16:27:41 2026 max relations containing the same ideal: 147
  252. Sun Jul 19 16:28:29 2026 removing 7282050 relations and 5282050 ideals in 2000000 cliques
  253. Sun Jul 19 16:28:32 2026 commencing in-memory singleton removal
  254. Sun Jul 19 16:28:34 2026 begin with 176687407 relations and 156490970 unique ideals
  255. Sun Jul 19 16:28:45 2026 reduce to 176456079 relations and 150975209 ideals in 8 passes
  256. Sun Jul 19 16:28:45 2026 max relations containing the same ideal: 144
  257. Sun Jul 19 16:29:31 2026 removing 7288015 relations and 5288015 ideals in 2000000 cliques
  258. Sun Jul 19 16:29:34 2026 commencing in-memory singleton removal
  259. Sun Jul 19 16:29:36 2026 begin with 169168064 relations and 150975209 unique ideals
  260. Sun Jul 19 16:29:45 2026 reduce to 168927079 relations and 145443622 ideals in 7 passes
  261. Sun Jul 19 16:29:45 2026 max relations containing the same ideal: 139
  262. Sun Jul 19 16:30:30 2026 removing 7302142 relations and 5302142 ideals in 2000000 cliques
  263. Sun Jul 19 16:30:33 2026 commencing in-memory singleton removal
  264. Sun Jul 19 16:30:35 2026 begin with 161624937 relations and 145443622 unique ideals
  265. Sun Jul 19 16:30:44 2026 reduce to 161374069 relations and 139887793 ideals in 7 passes
  266. Sun Jul 19 16:30:44 2026 max relations containing the same ideal: 134
  267. Sun Jul 19 16:31:26 2026 removing 7321430 relations and 5321430 ideals in 2000000 cliques
  268. Sun Jul 19 16:31:29 2026 commencing in-memory singleton removal
  269. Sun Jul 19 16:31:31 2026 begin with 154052639 relations and 139887793 unique ideals
  270. Sun Jul 19 16:31:39 2026 reduce to 153787044 relations and 134297656 ideals in 7 passes
  271. Sun Jul 19 16:31:39 2026 max relations containing the same ideal: 132
  272. Sun Jul 19 16:32:20 2026 removing 7356201 relations and 5356201 ideals in 2000000 cliques
  273. Sun Jul 19 16:32:22 2026 commencing in-memory singleton removal
  274. Sun Jul 19 16:32:24 2026 begin with 146430843 relations and 134297656 unique ideals
  275. Sun Jul 19 16:32:32 2026 reduce to 146150970 relations and 128658321 ideals in 7 passes
  276. Sun Jul 19 16:32:32 2026 max relations containing the same ideal: 128
  277. Sun Jul 19 16:33:12 2026 removing 7396944 relations and 5396944 ideals in 2000000 cliques
  278. Sun Jul 19 16:33:15 2026 commencing in-memory singleton removal
  279. Sun Jul 19 16:33:17 2026 begin with 138754026 relations and 128658321 unique ideals
  280. Sun Jul 19 16:33:25 2026 reduce to 138455327 relations and 122959055 ideals in 11 passes
  281. Sun Jul 19 16:33:25 2026 max relations containing the same ideal: 123
  282. Sun Jul 19 16:34:04 2026 removing 7449075 relations and 5449075 ideals in 2000000 cliques
  283. Sun Jul 19 16:34:07 2026 commencing in-memory singleton removal
  284. Sun Jul 19 16:34:08 2026 begin with 131006252 relations and 122959055 unique ideals
  285. Sun Jul 19 16:34:16 2026 reduce to 130687562 relations and 117187199 ideals in 8 passes
  286. Sun Jul 19 16:34:16 2026 max relations containing the same ideal: 118
  287. Sun Jul 19 16:34:50 2026 removing 7512907 relations and 5512907 ideals in 2000000 cliques
  288. Sun Jul 19 16:34:53 2026 commencing in-memory singleton removal
  289. Sun Jul 19 16:34:54 2026 begin with 123174655 relations and 117187199 unique ideals
  290. Sun Jul 19 16:35:01 2026 reduce to 122834199 relations and 111329122 ideals in 8 passes
  291. Sun Jul 19 16:35:01 2026 max relations containing the same ideal: 112
  292. Sun Jul 19 16:35:36 2026 removing 7593780 relations and 5593780 ideals in 2000000 cliques
  293. Sun Jul 19 16:35:38 2026 commencing in-memory singleton removal
  294. Sun Jul 19 16:35:40 2026 begin with 115240419 relations and 111329122 unique ideals
  295. Sun Jul 19 16:35:46 2026 reduce to 114867865 relations and 105357557 ideals in 7 passes
  296. Sun Jul 19 16:35:46 2026 max relations containing the same ideal: 108
  297. Sun Jul 19 16:36:18 2026 removing 7695615 relations and 5695615 ideals in 2000000 cliques
  298. Sun Jul 19 16:36:18 2026 commencing in-memory singleton removal
  299. Sun Jul 19 16:36:19 2026 begin with 107172250 relations and 105357557 unique ideals
  300. Sun Jul 19 16:36:25 2026 reduce to 106764232 relations and 99247837 ideals in 8 passes
  301. Sun Jul 19 16:36:25 2026 max relations containing the same ideal: 102
  302. Sun Jul 19 16:36:56 2026 removing 7811216 relations and 5811216 ideals in 2000000 cliques
  303. Sun Jul 19 16:36:58 2026 commencing in-memory singleton removal
  304. Sun Jul 19 16:36:59 2026 begin with 98953016 relations and 99247837 unique ideals
  305. Sun Jul 19 16:37:04 2026 reduce to 98498100 relations and 92974456 ideals in 7 passes
  306. Sun Jul 19 16:37:04 2026 max relations containing the same ideal: 98
  307. Sun Jul 19 16:37:33 2026 removing 7953543 relations and 5953543 ideals in 2000000 cliques
  308. Sun Jul 19 16:37:35 2026 commencing in-memory singleton removal
  309. Sun Jul 19 16:37:36 2026 begin with 90544557 relations and 92974456 unique ideals
  310. Sun Jul 19 16:37:41 2026 reduce to 90031727 relations and 86499181 ideals in 8 passes
  311. Sun Jul 19 16:37:41 2026 max relations containing the same ideal: 94
  312. Sun Jul 19 16:38:07 2026 removing 6869401 relations and 5244089 ideals in 1625312 cliques
  313. Sun Jul 19 16:38:09 2026 commencing in-memory singleton removal
  314. Sun Jul 19 16:38:10 2026 begin with 83162326 relations and 86499181 unique ideals
  315. Sun Jul 19 16:38:15 2026 reduce to 82745070 relations and 80831255 ideals in 8 passes
  316. Sun Jul 19 16:38:15 2026 max relations containing the same ideal: 92
  317. Sun Jul 19 16:38:40 2026 trying target density 70
  318. Sun Jul 19 16:38:46 2026 relations with 0 large ideals: 5916
  319. Sun Jul 19 16:38:46 2026 relations with 1 large ideals: 24918
  320. Sun Jul 19 16:38:46 2026 relations with 2 large ideals: 379226
  321. Sun Jul 19 16:38:46 2026 relations with 3 large ideals: 2455115
  322. Sun Jul 19 16:38:46 2026 relations with 4 large ideals: 8538426
  323. Sun Jul 19 16:38:46 2026 relations with 5 large ideals: 17643133
  324. Sun Jul 19 16:38:46 2026 relations with 6 large ideals: 22762180
  325. Sun Jul 19 16:38:46 2026 relations with 7+ large ideals: 30936156
  326. Sun Jul 19 16:38:46 2026 commencing 2-way merge
  327. Sun Jul 19 16:39:23 2026 reduce to 51266772 relation sets and 49352957 unique ideals
  328. Sun Jul 19 16:39:23 2026 commencing full merge
  329. Sun Jul 19 16:47:31 2026 memory use: 5697.1 MB
  330. Sun Jul 19 16:47:36 2026 found 28114113 cycles, need 27845157
  331. Sun Jul 19 16:47:43 2026 weight of 27845157 cycles is about 1949302363 (70.01/cycle)
  332. Sun Jul 19 16:47:43 2026 distribution of cycle lengths:
  333. Sun Jul 19 16:47:43 2026 1 relations: 3887997
  334. Sun Jul 19 16:47:43 2026 2 relations: 3558039
  335. Sun Jul 19 16:47:43 2026 3 relations: 3530872
  336. Sun Jul 19 16:47:43 2026 4 relations: 3343497
  337. Sun Jul 19 16:47:43 2026 5 relations: 3037526
  338. Sun Jul 19 16:47:43 2026 6 relations: 2700757
  339. Sun Jul 19 16:47:43 2026 7 relations: 2272359
  340. Sun Jul 19 16:47:43 2026 8 relations: 1779583
  341. Sun Jul 19 16:47:43 2026 9 relations: 1324001
  342. Sun Jul 19 16:47:43 2026 10+ relations: 2410526
  343. Sun Jul 19 16:47:43 2026 heaviest cycle: 17 relations
  344. Sun Jul 19 16:47:46 2026 commencing cycle optimization
  345. Sun Jul 19 16:48:19 2026 start with 135417296 relations
  346. Sun Jul 19 16:50:17 2026 pruned 2762632 relations
  347. Sun Jul 19 16:50:20 2026 memory use: 4760.9 MB
  348. Sun Jul 19 16:50:20 2026 distribution of cycle lengths:
  349. Sun Jul 19 16:50:20 2026 1 relations: 3887997
  350. Sun Jul 19 16:50:20 2026 2 relations: 3631092
  351. Sun Jul 19 16:50:20 2026 3 relations: 3642183
  352. Sun Jul 19 16:50:20 2026 4 relations: 3413143
  353. Sun Jul 19 16:50:20 2026 5 relations: 3107610
  354. Sun Jul 19 16:50:20 2026 6 relations: 2734653
  355. Sun Jul 19 16:50:20 2026 7 relations: 2281496
  356. Sun Jul 19 16:50:20 2026 8 relations: 1753007
  357. Sun Jul 19 16:50:20 2026 9 relations: 1277249
  358. Sun Jul 19 16:50:20 2026 10+ relations: 2116727
  359. Sun Jul 19 16:50:20 2026 heaviest cycle: 16 relations
  360. Sun Jul 19 16:50:53 2026 trying target density 80
  361. Sun Jul 19 16:50:59 2026 relations with 0 large ideals: 5916
  362. Sun Jul 19 16:50:59 2026 relations with 1 large ideals: 24918
  363. Sun Jul 19 16:50:59 2026 relations with 2 large ideals: 379226
  364. Sun Jul 19 16:50:59 2026 relations with 3 large ideals: 2455115
  365. Sun Jul 19 16:50:59 2026 relations with 4 large ideals: 8538426
  366. Sun Jul 19 16:50:59 2026 relations with 5 large ideals: 17643133
  367. Sun Jul 19 16:50:59 2026 relations with 6 large ideals: 22762180
  368. Sun Jul 19 16:50:59 2026 relations with 7+ large ideals: 30936156
  369. Sun Jul 19 16:50:59 2026 commencing 2-way merge
  370. Sun Jul 19 16:51:36 2026 reduce to 51266772 relation sets and 49352957 unique ideals
  371. Sun Jul 19 16:51:36 2026 commencing full merge
  372. Sun Jul 19 17:00:46 2026 memory use: 5794.5 MB
  373. Sun Jul 19 17:00:52 2026 found 26682045 cycles, need 26415157
  374. Sun Jul 19 17:00:59 2026 weight of 26415157 cycles is about 2113496674 (80.01/cycle)
  375. Sun Jul 19 17:00:59 2026 distribution of cycle lengths:
  376. Sun Jul 19 17:00:59 2026 1 relations: 3209497
  377. Sun Jul 19 17:00:59 2026 2 relations: 2919789
  378. Sun Jul 19 17:00:59 2026 3 relations: 2919136
  379. Sun Jul 19 17:00:59 2026 4 relations: 2770319
  380. Sun Jul 19 17:00:59 2026 5 relations: 2696952
  381. Sun Jul 19 17:00:59 2026 6 relations: 2438529
  382. Sun Jul 19 17:00:59 2026 7 relations: 2192583
  383. Sun Jul 19 17:00:59 2026 8 relations: 1864163
  384. Sun Jul 19 17:00:59 2026 9 relations: 1520044
  385. Sun Jul 19 17:00:59 2026 10+ relations: 3884145
  386. Sun Jul 19 17:00:59 2026 heaviest cycle: 19 relations
  387. Sun Jul 19 17:01:02 2026 commencing cycle optimization
  388. Sun Jul 19 17:01:36 2026 start with 146771045 relations
  389. Sun Jul 19 17:04:06 2026 pruned 3667062 relations
  390. Sun Jul 19 17:04:09 2026 memory use: 4882.7 MB
  391. Sun Jul 19 17:04:09 2026 distribution of cycle lengths:
  392. Sun Jul 19 17:04:09 2026 1 relations: 3209497
  393. Sun Jul 19 17:04:09 2026 2 relations: 2983972
  394. Sun Jul 19 17:04:09 2026 3 relations: 3018208
  395. Sun Jul 19 17:04:09 2026 4 relations: 2846305
  396. Sun Jul 19 17:04:09 2026 5 relations: 2772058
  397. Sun Jul 19 17:04:09 2026 6 relations: 2493817
  398. Sun Jul 19 17:04:09 2026 7 relations: 2231132
  399. Sun Jul 19 17:04:09 2026 8 relations: 1871612
  400. Sun Jul 19 17:04:09 2026 9 relations: 1503068
  401. Sun Jul 19 17:04:09 2026 10+ relations: 3485488
  402. Sun Jul 19 17:04:09 2026 heaviest cycle: 19 relations
  403. Sun Jul 19 17:04:43 2026 trying target density 100
  404. Sun Jul 19 17:04:50 2026 relations with 0 large ideals: 5916
  405. Sun Jul 19 17:04:50 2026 relations with 1 large ideals: 24918
  406. Sun Jul 19 17:04:50 2026 relations with 2 large ideals: 379226
  407. Sun Jul 19 17:04:50 2026 relations with 3 large ideals: 2455115
  408. Sun Jul 19 17:04:50 2026 relations with 4 large ideals: 8538426
  409. Sun Jul 19 17:04:50 2026 relations with 5 large ideals: 17643133
  410. Sun Jul 19 17:04:50 2026 relations with 6 large ideals: 22762180
  411. Sun Jul 19 17:04:50 2026 relations with 7+ large ideals: 30936156
  412. Sun Jul 19 17:04:50 2026 commencing 2-way merge
  413. Sun Jul 19 17:05:26 2026 reduce to 51266772 relation sets and 49352957 unique ideals
  414. Sun Jul 19 17:05:26 2026 commencing full merge
  415. Sun Jul 19 17:17:02 2026 memory use: 5980.2 MB
  416. Sun Jul 19 17:17:07 2026 found 24624605 cycles, need 24379157
  417. Sun Jul 19 17:17:14 2026 weight of 24379157 cycles is about 2438420007 (100.02/cycle)
  418. Sun Jul 19 17:17:14 2026 distribution of cycle lengths:
  419. Sun Jul 19 17:17:14 2026 1 relations: 2207843
  420. Sun Jul 19 17:17:14 2026 2 relations: 2094056
  421. Sun Jul 19 17:17:14 2026 3 relations: 2151631
  422. Sun Jul 19 17:17:14 2026 4 relations: 2103924
  423. Sun Jul 19 17:17:14 2026 5 relations: 2106608
  424. Sun Jul 19 17:17:14 2026 6 relations: 2008514
  425. Sun Jul 19 17:17:14 2026 7 relations: 1914612
  426. Sun Jul 19 17:17:14 2026 8 relations: 1752951
  427. Sun Jul 19 17:17:14 2026 9 relations: 1571552
  428. Sun Jul 19 17:17:14 2026 10+ relations: 6467466
  429. Sun Jul 19 17:17:14 2026 heaviest cycle: 24 relations
  430. Sun Jul 19 17:17:18 2026 commencing cycle optimization
  431. Sun Jul 19 17:17:56 2026 start with 168933552 relations
  432. Sun Jul 19 17:21:39 2026 pruned 5606202 relations
  433. Sun Jul 19 17:21:42 2026 memory use: 5118.6 MB
  434. Sun Jul 19 17:21:42 2026 distribution of cycle lengths:
  435. Sun Jul 19 17:21:42 2026 1 relations: 2207843
  436. Sun Jul 19 17:21:42 2026 2 relations: 2145039
  437. Sun Jul 19 17:21:42 2026 3 relations: 2233583
  438. Sun Jul 19 17:21:42 2026 4 relations: 2175115
  439. Sun Jul 19 17:21:42 2026 5 relations: 2185670
  440. Sun Jul 19 17:21:42 2026 6 relations: 2077966
  441. Sun Jul 19 17:21:42 2026 7 relations: 1980325
  442. Sun Jul 19 17:21:42 2026 8 relations: 1799711
  443. Sun Jul 19 17:21:42 2026 9 relations: 1603811
  444. Sun Jul 19 17:21:42 2026 10+ relations: 5970094
  445. Sun Jul 19 17:21:42 2026 heaviest cycle: 23 relations
  446. Sun Jul 19 17:22:17 2026 trying target density 120
  447. Sun Jul 19 17:22:24 2026 relations with 0 large ideals: 5916
  448. Sun Jul 19 17:22:24 2026 relations with 1 large ideals: 24918
  449. Sun Jul 19 17:22:24 2026 relations with 2 large ideals: 379226
  450. Sun Jul 19 17:22:24 2026 relations with 3 large ideals: 2455115
  451. Sun Jul 19 17:22:24 2026 relations with 4 large ideals: 8538426
  452. Sun Jul 19 17:22:24 2026 relations with 5 large ideals: 17643133
  453. Sun Jul 19 17:22:24 2026 relations with 6 large ideals: 22762180
  454. Sun Jul 19 17:22:24 2026 relations with 7+ large ideals: 30936156
  455. Sun Jul 19 17:22:24 2026 commencing 2-way merge
  456. Sun Jul 19 17:22:57 2026 reduce to 51266772 relation sets and 49352957 unique ideals
  457. Sun Jul 19 17:22:57 2026 commencing full merge
  458. Sun Jul 19 17:37:22 2026 memory use: 6120.7 MB
  459. Sun Jul 19 17:37:24 2026 found 23117213 cycles, need 22959157
  460. Sun Jul 19 17:37:31 2026 weight of 22959157 cycles is about 2755554402 (120.02/cycle)
  461. Sun Jul 19 17:37:31 2026 distribution of cycle lengths:
  462. Sun Jul 19 17:37:31 2026 1 relations: 1566433
  463. Sun Jul 19 17:37:31 2026 2 relations: 1623686
  464. Sun Jul 19 17:37:31 2026 3 relations: 1682100
  465. Sun Jul 19 17:37:31 2026 4 relations: 1681665
  466. Sun Jul 19 17:37:31 2026 5 relations: 1691936
  467. Sun Jul 19 17:37:31 2026 6 relations: 1662557
  468. Sun Jul 19 17:37:31 2026 7 relations: 1613604
  469. Sun Jul 19 17:37:31 2026 8 relations: 1552254
  470. Sun Jul 19 17:37:31 2026 9 relations: 1455394
  471. Sun Jul 19 17:37:31 2026 10+ relations: 8429528
  472. Sun Jul 19 17:37:31 2026 heaviest cycle: 28 relations
  473. Sun Jul 19 17:37:34 2026 commencing cycle optimization
  474. Sun Jul 19 17:38:16 2026 start with 190211687 relations
  475. Sun Jul 19 17:43:21 2026 pruned 7636843 relations
  476. Sun Jul 19 17:43:21 2026 memory use: 5338.8 MB
  477. Sun Jul 19 17:43:21 2026 distribution of cycle lengths:
  478. Sun Jul 19 17:43:21 2026 1 relations: 1566433
  479. Sun Jul 19 17:43:21 2026 2 relations: 1664317
  480. Sun Jul 19 17:43:21 2026 3 relations: 1749307
  481. Sun Jul 19 17:43:21 2026 4 relations: 1744311
  482. Sun Jul 19 17:43:21 2026 5 relations: 1765952
  483. Sun Jul 19 17:43:21 2026 6 relations: 1730692
  484. Sun Jul 19 17:43:21 2026 7 relations: 1687211
  485. Sun Jul 19 17:43:21 2026 8 relations: 1614165
  486. Sun Jul 19 17:43:21 2026 9 relations: 1510668
  487. Sun Jul 19 17:43:21 2026 10+ relations: 7926101
  488. Sun Jul 19 17:43:21 2026 heaviest cycle: 28 relations
  489. Sun Jul 19 17:43:56 2026 trying target density 130
  490. Sun Jul 19 17:44:03 2026 relations with 0 large ideals: 5916
  491. Sun Jul 19 17:44:03 2026 relations with 1 large ideals: 24918
  492. Sun Jul 19 17:44:03 2026 relations with 2 large ideals: 379226
  493. Sun Jul 19 17:44:03 2026 relations with 3 large ideals: 2455115
  494. Sun Jul 19 17:44:03 2026 relations with 4 large ideals: 8538426
  495. Sun Jul 19 17:44:03 2026 relations with 5 large ideals: 17643133
  496. Sun Jul 19 17:44:03 2026 relations with 6 large ideals: 22762180
  497. Sun Jul 19 17:44:03 2026 relations with 7+ large ideals: 30936156
  498. Sun Jul 19 17:44:03 2026 commencing 2-way merge
  499. Sun Jul 19 17:44:37 2026 reduce to 51266772 relation sets and 49352957 unique ideals
  500. Sun Jul 19 17:44:37 2026 commencing full merge
  501. Sun Jul 19 17:59:28 2026 memory use: 6166.0 MB
  502. Sun Jul 19 17:59:32 2026 found 22455956 cycles, need 22387157
  503. Sun Jul 19 17:59:39 2026 weight of 22387157 cycles is about 2911048329 (130.03/cycle)
  504. Sun Jul 19 17:59:39 2026 distribution of cycle lengths:
  505. Sun Jul 19 17:59:39 2026 1 relations: 1345364
  506. Sun Jul 19 17:59:39 2026 2 relations: 1458264
  507. Sun Jul 19 17:59:39 2026 3 relations: 1530520
  508. Sun Jul 19 17:59:39 2026 4 relations: 1515893
  509. Sun Jul 19 17:59:39 2026 5 relations: 1530414
  510. Sun Jul 19 17:59:39 2026 6 relations: 1502788
  511. Sun Jul 19 17:59:39 2026 7 relations: 1493117
  512. Sun Jul 19 17:59:39 2026 8 relations: 1433471
  513. Sun Jul 19 17:59:39 2026 9 relations: 1372512
  514. Sun Jul 19 17:59:39 2026 10+ relations: 9204814
  515. Sun Jul 19 17:59:39 2026 heaviest cycle: 28 relations
  516. Sun Jul 19 17:59:42 2026 commencing cycle optimization
  517. Sun Jul 19 18:00:21 2026 start with 200555792 relations
  518. Sun Jul 19 18:06:12 2026 pruned 8694462 relations
  519. Sun Jul 19 18:06:12 2026 memory use: 5443.2 MB
  520. Sun Jul 19 18:06:12 2026 distribution of cycle lengths:
  521. Sun Jul 19 18:06:12 2026 1 relations: 1345364
  522. Sun Jul 19 18:06:12 2026 2 relations: 1495263
  523. Sun Jul 19 18:06:12 2026 3 relations: 1591401
  524. Sun Jul 19 18:06:12 2026 4 relations: 1573801
  525. Sun Jul 19 18:06:12 2026 5 relations: 1600141
  526. Sun Jul 19 18:06:12 2026 6 relations: 1569095
  527. Sun Jul 19 18:06:12 2026 7 relations: 1563647
  528. Sun Jul 19 18:06:12 2026 8 relations: 1498623
  529. Sun Jul 19 18:06:12 2026 9 relations: 1434238
  530. Sun Jul 19 18:06:12 2026 10+ relations: 8715584
  531. Sun Jul 19 18:06:12 2026 heaviest cycle: 28 relations
  532. Sun Jul 19 18:06:48 2026 RelProcTime: 11266
  533. Sun Jul 19 18:06:48 2026
  534. Sun Jul 19 18:06:48 2026 commencing linear algebra
  535. Sun Jul 19 18:06:48 2026 using VBITS=256
  536. Sun Jul 19 18:06:48 2026 building matrices for all densities
  537. Sun Jul 19 18:06:48 2026 found 5 density files
  538. Sun Jul 19 18:06:48 2026 building matrix for density 70
  539. Sun Jul 19 18:06:59 2026 read 27845157 cycles
  540. Sun Jul 19 18:07:38 2026 cycles contain 81446013 unique relations
  541. Sun Jul 19 18:34:30 2026 read 81446013 relations
  542. Sun Jul 19 18:34:53 2026 using 20 quadratic characters above 4294917295
  543. Sun Jul 19 18:35:14 2026 building initial matrix
  544. Sun Jul 19 18:44:31 2026 memory use: 11617.7 MB
  545. Sun Jul 19 18:44:59 2026 read 27845157 cycles
  546. Sun Jul 19 18:45:02 2026 matrix is 27844977 x 27845157 (8505.9 MB) with weight 2673742186 (96.02/col)
  547. Sun Jul 19 18:45:02 2026 sparse part has weight 1895617474 (68.08/col)
  548. Sun Jul 19 18:47:35 2026 filtering completed in 2 passes
  549. Sun Jul 19 18:47:40 2026 matrix is 27830851 x 27831028 (8504.9 MB) with weight 2673284499 (96.05/col)
  550. Sun Jul 19 18:47:40 2026 sparse part has weight 1895528757 (68.11/col)
  551. Sun Jul 19 18:48:20 2026 building matrix for density 80
  552. Sun Jul 19 18:48:22 2026 read 26415157 cycles
  553. Sun Jul 19 18:48:47 2026 cycles contain 81483158 unique relations
  554. Sun Jul 19 19:03:00 2026 read 81483158 relations
  555. Sun Jul 19 19:03:13 2026 using 20 quadratic characters above 4294917295
  556. Sun Jul 19 19:03:33 2026 building initial matrix
  557. Sun Jul 19 19:13:31 2026 memory use: 11554.3 MB
  558. Sun Jul 19 19:13:37 2026 read 26415157 cycles
  559. Sun Jul 19 19:13:40 2026 matrix is 26414977 x 26415157 (8981.0 MB) with weight 2808128358 (106.31/col)
  560. Sun Jul 19 19:13:40 2026 sparse part has weight 2037320785 (77.13/col)
  561. Sun Jul 19 19:16:34 2026 filtering completed in 2 passes
  562. Sun Jul 19 19:16:36 2026 matrix is 26406452 x 26406628 (8980.3 MB) with weight 2807814689 (106.33/col)
  563. Sun Jul 19 19:16:36 2026 sparse part has weight 2037249858 (77.15/col)
  564. Sun Jul 19 19:17:16 2026 building matrix for density 100
  565. Sun Jul 19 19:17:18 2026 read 24379157 cycles
  566. Sun Jul 19 19:17:44 2026 cycles contain 81515883 unique relations
  567. Sun Jul 19 19:19:51 2026 read 81515883 relations
  568. Sun Jul 19 19:20:06 2026 using 20 quadratic characters above 4294917295
  569. Sun Jul 19 19:20:24 2026 building initial matrix
  570. Sun Jul 19 19:31:36 2026 memory use: 11573.1 MB
  571. Sun Jul 19 19:31:45 2026 read 24379157 cycles
  572. Sun Jul 19 19:31:48 2026 matrix is 24378978 x 24379157 (9943.3 MB) with weight 3077986230 (126.25/col)
  573. Sun Jul 19 19:31:48 2026 sparse part has weight 2314018961 (94.92/col)
  574. Sun Jul 19 19:34:51 2026 filtering completed in 2 passes
  575. Sun Jul 19 19:34:56 2026 matrix is 24375255 x 24375432 (9942.9 MB) with weight 3077824775 (126.27/col)
  576. Sun Jul 19 19:34:56 2026 sparse part has weight 2313975764 (94.93/col)
  577. Sun Jul 19 19:35:37 2026 building matrix for density 120
  578. Sun Jul 19 19:35:39 2026 read 22959157 cycles
  579. Sun Jul 19 19:36:07 2026 cycles contain 81527997 unique relations
  580. Sun Jul 19 19:53:02 2026 read 81527997 relations
  581. Sun Jul 19 19:53:29 2026 using 20 quadratic characters above 4294917295
  582. Sun Jul 19 19:53:50 2026 building initial matrix
  583. Sun Jul 19 20:17:20 2026 memory use: 11604.7 MB
  584. Sun Jul 19 20:18:43 2026 read 22959157 cycles
  585. Sun Jul 19 20:18:50 2026 matrix is 22958978 x 22959157 (10890.5 MB) with weight 3339946410 (145.47/col)
  586. Sun Jul 19 20:18:50 2026 sparse part has weight 2579379030 (112.35/col)
  587. Sun Jul 19 20:24:33 2026 filtering completed in 2 passes
  588. Sun Jul 19 20:24:42 2026 matrix is 22957575 x 22957752 (10890.4 MB) with weight 3339880014 (145.48/col)
  589. Sun Jul 19 20:24:42 2026 sparse part has weight 2579360969 (112.35/col)
  590. Sun Jul 19 20:26:13 2026 building matrix for density 130
  591. Sun Jul 19 20:26:18 2026 read 22387157 cycles
  592. Sun Jul 19 20:27:29 2026 cycles contain 81530662 unique relations
  593. Sun Jul 19 20:43:36 2026 read 81530662 relations
  594. Sun Jul 19 20:44:11 2026 using 20 quadratic characters above 4294917295
  595. Sun Jul 19 20:44:43 2026 building initial matrix
  596. Sun Jul 19 21:10:46 2026 memory use: 11623.0 MB
  597. Sun Jul 19 21:11:41 2026 read 22387157 cycles
  598. Sun Jul 19 21:11:49 2026 matrix is 22386979 x 22387157 (11352.5 MB) with weight 3466375839 (154.84/col)
  599. Sun Jul 19 21:11:49 2026 sparse part has weight 2707344928 (120.93/col)
  600. Sun Jul 19 21:18:28 2026 filtering completed in 2 passes
  601. Sun Jul 19 21:18:36 2026 matrix is 22386437 x 22386613 (11352.5 MB) with weight 3466348708 (154.84/col)
  602. Sun Jul 19 21:18:36 2026 sparse part has weight 2707337414 (120.94/col)
  603. Sun Jul 19 21:20:11 2026 BLanczosTime: 11603
  604. Sun Jul 19 21:20:11 2026 elapsed time 06:21:07
  605. Mon Jul 20 11:39:42 2026
  606. Mon Jul 20 11:39:42 2026
  607. Mon Jul 20 11:39:42 2026 Msieve v. 1.54 (SVN unknown)
  608. Mon Jul 20 11:39:42 2026 random seeds: 7abcb2a3 a0a6ed52
  609. Mon Jul 20 11:39:42 2026 Using 8 OpenMP threads
  610. Mon Jul 20 11:39:42 2026 factoring 10113954987846947258450428694138589220793807411496909306904306618598014524780015461838062679397972470239414281529785387843251343811092276085425221751629098572842354338856170220355532607809 (188 digits)
  611. Mon Jul 20 11:39:43 2026 no P-1/P+1/ECM available, skipping
  612. Mon Jul 20 11:39:43 2026 commencing number field sieve (188-digit input)
  613. Mon Jul 20 11:39:43 2026 R0: -1948211055875445937431137093651746168
  614. Mon Jul 20 11:39:43 2026 R1: 46867436723776531928537
  615. Mon Jul 20 11:39:43 2026 A0: 203751529354046146301360607122118631183874250
  616. Mon Jul 20 11:39:43 2026 A1: 11311563277875574113666148414235379791
  617. Mon Jul 20 11:39:43 2026 A2: -552361578741327404575202825690
  618. Mon Jul 20 11:39:43 2026 A3: -10605128374800665040351
  619. Mon Jul 20 11:39:43 2026 A4: 304929858937344
  620. Mon Jul 20 11:39:43 2026 A5: 720720
  621. Mon Jul 20 11:39:43 2026 skew 42646383.34, size 3.423e-18, alpha -7.344, combined = 3.737e-14 rroots = 5
  622. Mon Jul 20 11:39:43 2026
  623. Mon Jul 20 11:39:43 2026 commencing linear algebra
  624. Mon Jul 20 11:39:43 2026 using VBITS=256
  625. Mon Jul 20 11:39:43 2026 skipping matrix build
  626. Mon Jul 20 11:39:50 2026 matrix starts at (0, 0)
  627. Mon Jul 20 11:39:53 2026 matrix is 22386437 x 22386613 (11352.5 MB) with weight 3466348708 (154.84/col)
  628. Mon Jul 20 11:39:53 2026 sparse part has weight 2707337414 (120.94/col)
  629. Mon Jul 20 11:39:53 2026 saving the first 240 matrix rows for later
  630. Mon Jul 20 11:39:57 2026 matrix includes 256 packed rows
  631. Mon Jul 20 11:40:03 2026 matrix is 22386197 x 22386613 (10339.1 MB) with weight 2493169985 (111.37/col)
  632. Mon Jul 20 11:40:03 2026 sparse part has weight 2352158456 (105.07/col)
  633. Mon Jul 20 11:40:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  634. Mon Jul 20 11:40:03 2026 selected card has CUDA arch 12.0
  635. Mon Jul 20 11:40:04 2026 computed block_nnz 165260611 (L2 cache 100663296 bytes, average column weight 105.1)
  636. Mon Jul 20 11:40:04 2026 nonzeros per matrix block: 256000000
  637. Mon Jul 20 11:43:16 2026 commencing Lanczos iteration
  638. Mon Jul 20 11:43:19 2026 memory use: 25119.0 MB
  639. Mon Jul 20 11:43:42 2026 linear algebra at 0.1%, ETA 4h15m
  640. Mon Jul 20 11:44:15 2026 checking every 80000 dimensions, checkpointing every 5200000 dimensions
  641. Mon Jul 20 16:06:27 2026 lanczos halted after 87711 iterations (dim = 22386197)
  642. Mon Jul 20 16:07:29 2026 recovered 32 nontrivial dependencies
  643. Mon Jul 20 16:07:30 2026 BLanczosTime: 16067
  644. Mon Jul 20 16:07:30 2026 elapsed time 04:27:48
  645. Mon Jul 20 12:09:52 2026
  646. Mon Jul 20 12:09:52 2026
  647. Mon Jul 20 12:09:52 2026 Msieve v. 1.54 (SVN unknown)
  648. Mon Jul 20 12:09:52 2026 random seeds: c97d9542 bb43d529
  649. Mon Jul 20 12:09:52 2026 Using 8 OpenMP threads
  650. Mon Jul 20 12:09:52 2026 factoring 10113954987846947258450428694138589220793807411496909306904306618598014524780015461838062679397972470239414281529785387843251343811092276085425221751629098572842354338856170220355532607809 (188 digits)
  651. Mon Jul 20 12:09:53 2026 no P-1/P+1/ECM available, skipping
  652. Mon Jul 20 12:09:53 2026 commencing number field sieve (188-digit input)
  653. Mon Jul 20 12:09:53 2026 R0: -1948211055875445937431137093651746168
  654. Mon Jul 20 12:09:53 2026 R1: 46867436723776531928537
  655. Mon Jul 20 12:09:53 2026 A0: 203751529354046146301360607122118631183874250
  656. Mon Jul 20 12:09:53 2026 A1: 11311563277875574113666148414235379791
  657. Mon Jul 20 12:09:53 2026 A2: -552361578741327404575202825690
  658. Mon Jul 20 12:09:53 2026 A3: -10605128374800665040351
  659. Mon Jul 20 12:09:53 2026 A4: 304929858937344
  660. Mon Jul 20 12:09:53 2026 A5: 720720
  661. Mon Jul 20 12:09:53 2026 skew 42646383.34, size 3.423e-18, alpha -7.344, combined = 3.737e-14 rroots = 5
  662. Mon Jul 20 12:09:53 2026
  663. Mon Jul 20 12:09:53 2026 commencing square root phase
  664. Mon Jul 20 12:09:53 2026 reading relations for dependency 1
  665. Mon Jul 20 12:10:07 2026 read 11194173 cycles
  666. Mon Jul 20 12:10:49 2026 cycles contain 40758650 unique relations
  667. Mon Jul 20 12:28:15 2026 read 40758650 relations
  668. Mon Jul 20 12:32:05 2026 multiplying 40758650 relations
  669. Mon Jul 20 12:40:07 2026 multiply complete, coefficients have about 2476.98 million bits
  670. Mon Jul 20 12:40:17 2026 initial square root is modulo 359407
  671. Mon Jul 20 12:57:50 2026 sqrtTime: 2877
  672. Mon Jul 20 12:57:50 2026 p85 factor: 2500753832585869533137760379848673776700559176523806512704526112695636116777338696763
  673. Mon Jul 20 12:57:50 2026 p103 factor: 4044362486246298590813651066879189176205961342319620497615529880295811495840221161609199262498684069043
  674. Mon Jul 20 12:57:50 2026 elapsed time 00:47:58
  675.  
Tags: math
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