kyleaskine

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Jul 21st, 2026
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  1. Tue Jul 21 07:41:09 2026
  2. Tue Jul 21 07:41:09 2026
  3. Tue Jul 21 07:41:09 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Jul 21 07:41:09 2026 random seeds: 5fc92bea 94b35f47
  5. Tue Jul 21 07:41:09 2026 Using 14 OpenMP threads
  6. Tue Jul 21 07:41:09 2026 factoring 2041531485036682635618067628927053922079413684324636081251860930617893835145318589938456639965694674185047339191543573115187025836739568546343371825676472375109373006155783710562407491 (184 digits)
  7. Tue Jul 21 07:41:10 2026 no P-1/P+1/ECM available, skipping
  8. Tue Jul 21 07:41:10 2026 commencing number field sieve (184-digit input)
  9. Tue Jul 21 07:41:10 2026 R0: -408180465089016175837610309713531847
  10. Tue Jul 21 07:41:10 2026 R1: 85343814791021286856817
  11. Tue Jul 21 07:41:10 2026 A0: -234225328866927376090683471077034211144680
  12. Tue Jul 21 07:41:10 2026 A1: 23069715341515880954363862831721281
  13. Tue Jul 21 07:41:10 2026 A2: 11796920147864167038565703558
  14. Tue Jul 21 07:41:10 2026 A3: -484145373872101592575
  15. Tue Jul 21 07:41:10 2026 A4: -91921601861312
  16. Tue Jul 21 07:41:10 2026 A5: 720720
  17. Tue Jul 21 07:41:10 2026 skew 13010022.55, size 8.000e-18, alpha -5.729, combined = 6.404e-14 rroots = 5
  18. Tue Jul 21 07:41:10 2026
  19. Tue Jul 21 07:41:10 2026 commencing relation filtering
  20. Tue Jul 21 07:41:10 2026 setting 3 target densities:Tue Jul 21 07:41:10 2026 90Tue Jul 21 07:41:10 2026 110Tue Jul 21 07:41:10 2026 130Tue Jul 21 07:41:10 2026
  21. Tue Jul 21 07:41:10 2026 estimated available RAM is 78540.1 MB
  22. Tue Jul 21 07:41:10 2026 commencing duplicate removal, pass 1
  23. Tue Jul 21 07:41:32 2026 error -1 reading relation 4205124
  24. Tue Jul 21 07:41:41 2026 error -1 reading relation 5945595
  25. Tue Jul 21 07:43:18 2026 error -1 reading relation 24251705
  26. Tue Jul 21 07:43:43 2026 error -1 reading relation 29138740
  27. Tue Jul 21 07:44:45 2026 error -1 reading relation 40633082
  28. Tue Jul 21 07:44:45 2026 error -1 reading relation 40634000
  29. Tue Jul 21 07:45:04 2026 error -1 reading relation 44313241
  30. Tue Jul 21 07:45:23 2026 error -1 reading relation 47918484
  31. Tue Jul 21 07:45:59 2026 error -1 reading relation 54336532
  32. Tue Jul 21 07:47:36 2026 error -1 reading relation 72913663
  33. Tue Jul 21 07:47:46 2026 error -1 reading relation 75601391
  34. Tue Jul 21 07:47:50 2026 error -1 reading relation 76680512
  35. Tue Jul 21 07:48:05 2026 error -1 reading relation 80016861
  36. Tue Jul 21 07:48:31 2026 error -1 reading relation 86576658
  37. Tue Jul 21 07:48:47 2026 error -1 reading relation 90672127
  38. Tue Jul 21 07:49:36 2026 error -1 reading relation 103170546
  39. Tue Jul 21 07:49:47 2026 error -1 reading relation 106081646
  40. Tue Jul 21 07:49:52 2026 error -1 reading relation 107254879
  41. Tue Jul 21 07:50:32 2026 error -1 reading relation 116860011
  42. Tue Jul 21 07:50:37 2026 error -1 reading relation 117701517
  43. Tue Jul 21 07:51:01 2026 error -1 reading relation 122194734
  44. Tue Jul 21 07:51:04 2026 error -1 reading relation 122644266
  45. Tue Jul 21 07:51:16 2026 error -15 reading relation 124599686
  46. Tue Jul 21 07:53:16 2026 error -1 reading relation 146370682
  47. Tue Jul 21 07:53:45 2026 error -1 reading relation 151425810
  48. Tue Jul 21 07:53:53 2026 error -1 reading relation 153060871
  49. Tue Jul 21 07:53:56 2026 error -1 reading relation 153662813
  50. Tue Jul 21 07:55:05 2026 error -1 reading relation 167805871
  51. Tue Jul 21 07:55:13 2026 error -1 reading relation 169498049
  52. Tue Jul 21 07:55:42 2026 error -1 reading relation 174655835
  53. Tue Jul 21 07:56:41 2026 error -1 reading relation 184683450
  54. Tue Jul 21 07:56:45 2026 error -1 reading relation 185235763
  55. Tue Jul 21 07:56:57 2026 error -1 reading relation 187405585
  56. Tue Jul 21 07:57:09 2026 error -1 reading relation 189722717
  57. Tue Jul 21 07:57:53 2026 error -1 reading relation 197606965
  58. Tue Jul 21 07:58:08 2026 error -1 reading relation 200234824
  59. Tue Jul 21 07:58:08 2026 error -1 reading relation 200253837
  60. Tue Jul 21 07:59:24 2026 error -1 reading relation 213503024
  61. Tue Jul 21 07:59:38 2026 error -1 reading relation 215845486
  62. Tue Jul 21 07:59:48 2026 error -1 reading relation 217632019
  63. Tue Jul 21 08:00:17 2026 error -1 reading relation 222843495
  64. Tue Jul 21 08:00:19 2026 error -1 reading relation 223216160
  65. Tue Jul 21 08:01:07 2026 error -1 reading relation 231376860
  66. Tue Jul 21 08:01:35 2026 error -1 reading relation 236322837
  67. Tue Jul 21 08:01:39 2026 error -1 reading relation 236967721
  68. Tue Jul 21 08:01:43 2026 error -15 reading relation 237583936
  69. Tue Jul 21 08:02:28 2026 error -1 reading relation 245489855
  70. Tue Jul 21 08:02:35 2026 error -1 reading relation 246754287
  71. Tue Jul 21 08:03:20 2026 error -1 reading relation 253867081
  72. Tue Jul 21 08:03:21 2026 error -1 reading relation 254094007
  73. Tue Jul 21 08:03:44 2026 error -1 reading relation 257813003
  74. Tue Jul 21 08:03:58 2026 error -1 reading relation 260343553
  75. Tue Jul 21 08:04:17 2026 error -1 reading relation 263655473
  76. Tue Jul 21 08:04:22 2026 error -1 reading relation 264602666
  77. Tue Jul 21 08:04:23 2026 error -1 reading relation 264759493
  78. Tue Jul 21 08:04:37 2026 error -1 reading relation 267259635
  79. Tue Jul 21 08:05:27 2026 error -1 reading relation 275783429
  80. Tue Jul 21 08:05:29 2026 error -1 reading relation 276173872
  81. Tue Jul 21 08:05:37 2026 error -1 reading relation 277444685
  82. Tue Jul 21 08:05:42 2026 error -15 reading relation 278285732
  83. Tue Jul 21 08:06:13 2026 error -1 reading relation 283490919
  84. Tue Jul 21 08:06:41 2026 error -1 reading relation 288294121
  85. Tue Jul 21 08:06:45 2026 error -1 reading relation 288898720
  86. Tue Jul 21 08:07:23 2026 error -1 reading relation 295348716
  87. Tue Jul 21 08:07:25 2026 error -1 reading relation 295787151
  88. Tue Jul 21 08:07:58 2026 error -1 reading relation 301521677
  89. Tue Jul 21 08:09:10 2026 error -1 reading relation 313900560
  90. Tue Jul 21 08:09:59 2026 error -15 reading relation 322553343
  91. Tue Jul 21 08:09:59 2026 error -1 reading relation 322553344
  92. Tue Jul 21 08:10:01 2026 error -15 reading relation 322923921
  93. Tue Jul 21 08:10:40 2026 error -1 reading relation 330565442
  94. Tue Jul 21 08:10:42 2026 error -1 reading relation 330931656
  95. Tue Jul 21 08:10:49 2026 error -1 reading relation 332109083
  96. Tue Jul 21 08:10:49 2026 error -1 reading relation 332128698
  97. Tue Jul 21 08:10:50 2026 error -1 reading relation 332420969
  98. Tue Jul 21 08:11:03 2026 error -1 reading relation 334959199
  99. Tue Jul 21 08:11:16 2026 error -1 reading relation 337420984
  100. Tue Jul 21 08:11:39 2026 error -1 reading relation 341369649
  101. Tue Jul 21 08:11:38 2026 skipped 499 malformed relations
  102. Tue Jul 21 08:11:38 2026 found 70010558 hash collisions in 341452721 relations
  103. Tue Jul 21 08:12:07 2026 added 121026 free relations
  104. Tue Jul 21 08:12:07 2026 commencing duplicate removal, pass 2
  105. Tue Jul 21 08:21:43 2026 found 74417925 duplicates and 267155822 unique relations
  106. Tue Jul 21 08:21:43 2026 memory use: 1705.5 MB
  107. Tue Jul 21 08:21:44 2026 reading ideals above 720000
  108. Tue Jul 21 08:21:44 2026 commencing singleton removal, initial pass
  109. Tue Jul 21 09:06:56 2026 memory use: 6024.0 MB
  110. Tue Jul 21 09:06:57 2026 reading all ideals from disk
  111. Tue Jul 21 09:09:22 2026 memory use: 13130.7 MB
  112. Tue Jul 21 09:10:56 2026 keeping 248854019 ideals with weight <= 200, target excess is 1419818
  113. Tue Jul 21 09:12:38 2026 commencing in-memory singleton removal
  114. Tue Jul 21 09:12:47 2026 begin with 267155822 relations and 248854019 unique ideals
  115. Tue Jul 21 09:13:55 2026 reduce to 168868846 relations and 140707235 ideals in 14 passes
  116. Tue Jul 21 09:13:55 2026 max relations containing the same ideal: 158
  117. Tue Jul 21 09:16:42 2026 removing 11811134 relations and 9811134 ideals in 2000000 cliques
  118. Tue Jul 21 09:16:50 2026 commencing in-memory singleton removal
  119. Tue Jul 21 09:16:55 2026 begin with 157057712 relations and 140707235 unique ideals
  120. Tue Jul 21 09:17:23 2026 reduce to 156436300 relations and 130265269 ideals in 8 passes
  121. Tue Jul 21 09:17:23 2026 max relations containing the same ideal: 150
  122. Tue Jul 21 09:19:43 2026 removing 9080402 relations and 7080402 ideals in 2000000 cliques
  123. Tue Jul 21 09:19:49 2026 commencing in-memory singleton removal
  124. Tue Jul 21 09:19:53 2026 begin with 147355898 relations and 130265269 unique ideals
  125. Tue Jul 21 09:20:18 2026 reduce to 146934591 relations and 122758031 ideals in 7 passes
  126. Tue Jul 21 09:20:18 2026 max relations containing the same ideal: 146
  127. Tue Jul 21 09:22:42 2026 removing 8249556 relations and 6249556 ideals in 2000000 cliques
  128. Tue Jul 21 09:22:48 2026 commencing in-memory singleton removal
  129. Tue Jul 21 09:22:51 2026 begin with 138685035 relations and 122758031 unique ideals
  130. Tue Jul 21 09:23:15 2026 reduce to 138307778 relations and 116126243 ideals in 8 passes
  131. Tue Jul 21 09:23:15 2026 max relations containing the same ideal: 138
  132. Tue Jul 21 09:25:22 2026 removing 7826840 relations and 5826840 ideals in 2000000 cliques
  133. Tue Jul 21 09:25:28 2026 commencing in-memory singleton removal
  134. Tue Jul 21 09:25:31 2026 begin with 130480938 relations and 116126243 unique ideals
  135. Tue Jul 21 09:25:51 2026 reduce to 130120381 relations and 109934060 ideals in 7 passes
  136. Tue Jul 21 09:25:51 2026 max relations containing the same ideal: 134
  137. Tue Jul 21 09:27:55 2026 removing 7573277 relations and 5573277 ideals in 2000000 cliques
  138. Tue Jul 21 09:28:01 2026 commencing in-memory singleton removal
  139. Tue Jul 21 09:28:04 2026 begin with 122547104 relations and 109934060 unique ideals
  140. Tue Jul 21 09:28:24 2026 reduce to 122190881 relations and 103999520 ideals in 8 passes
  141. Tue Jul 21 09:28:24 2026 max relations containing the same ideal: 130
  142. Tue Jul 21 09:30:12 2026 removing 7413791 relations and 5413791 ideals in 2000000 cliques
  143. Tue Jul 21 09:30:17 2026 commencing in-memory singleton removal
  144. Tue Jul 21 09:30:20 2026 begin with 114777090 relations and 103999520 unique ideals
  145. Tue Jul 21 09:30:38 2026 reduce to 114414356 relations and 98217711 ideals in 8 passes
  146. Tue Jul 21 09:30:38 2026 max relations containing the same ideal: 126
  147. Tue Jul 21 09:32:26 2026 removing 7313499 relations and 5313499 ideals in 2000000 cliques
  148. Tue Jul 21 09:32:31 2026 commencing in-memory singleton removal
  149. Tue Jul 21 09:32:34 2026 begin with 107100857 relations and 98217711 unique ideals
  150. Tue Jul 21 09:32:49 2026 reduce to 106728337 relations and 92525940 ideals in 7 passes
  151. Tue Jul 21 09:32:49 2026 max relations containing the same ideal: 120
  152. Tue Jul 21 09:34:28 2026 removing 7258496 relations and 5258496 ideals in 2000000 cliques
  153. Tue Jul 21 09:34:32 2026 commencing in-memory singleton removal
  154. Tue Jul 21 09:34:34 2026 begin with 99469841 relations and 92525940 unique ideals
  155. Tue Jul 21 09:34:51 2026 reduce to 99079447 relations and 86870638 ideals in 8 passes
  156. Tue Jul 21 09:34:51 2026 max relations containing the same ideal: 114
  157. Tue Jul 21 09:36:25 2026 removing 7235871 relations and 5235871 ideals in 2000000 cliques
  158. Tue Jul 21 09:36:31 2026 commencing in-memory singleton removal
  159. Tue Jul 21 09:36:33 2026 begin with 91843576 relations and 86870638 unique ideals
  160. Tue Jul 21 09:36:47 2026 reduce to 91429657 relations and 81213543 ideals in 8 passes
  161. Tue Jul 21 09:36:47 2026 max relations containing the same ideal: 107
  162. Tue Jul 21 09:38:17 2026 removing 7247255 relations and 5247255 ideals in 2000000 cliques
  163. Tue Jul 21 09:38:21 2026 commencing in-memory singleton removal
  164. Tue Jul 21 09:38:23 2026 begin with 84182402 relations and 81213543 unique ideals
  165. Tue Jul 21 09:38:35 2026 reduce to 83732993 relations and 75508568 ideals in 7 passes
  166. Tue Jul 21 09:38:35 2026 max relations containing the same ideal: 99
  167. Tue Jul 21 09:39:54 2026 removing 7283592 relations and 5283592 ideals in 2000000 cliques
  168. Tue Jul 21 09:39:58 2026 commencing in-memory singleton removal
  169. Tue Jul 21 09:40:00 2026 begin with 76449401 relations and 75508568 unique ideals
  170. Tue Jul 21 09:40:11 2026 reduce to 75959491 relations and 69725054 ideals in 7 passes
  171. Tue Jul 21 09:40:11 2026 max relations containing the same ideal: 92
  172. Tue Jul 21 09:41:30 2026 removing 7341688 relations and 5341688 ideals in 2000000 cliques
  173. Tue Jul 21 09:41:35 2026 commencing in-memory singleton removal
  174. Tue Jul 21 09:41:36 2026 begin with 68617803 relations and 69725054 unique ideals
  175. Tue Jul 21 09:41:47 2026 reduce to 68069941 relations and 63823093 ideals in 8 passes
  176. Tue Jul 21 09:41:47 2026 max relations containing the same ideal: 89
  177. Tue Jul 21 09:42:56 2026 removing 7431423 relations and 5431423 ideals in 2000000 cliques
  178. Tue Jul 21 09:43:00 2026 commencing in-memory singleton removal
  179. Tue Jul 21 09:43:02 2026 begin with 60638518 relations and 63823093 unique ideals
  180. Tue Jul 21 09:43:14 2026 reduce to 60012408 relations and 57750074 ideals in 9 passes
  181. Tue Jul 21 09:43:14 2026 max relations containing the same ideal: 83
  182. Tue Jul 21 09:44:17 2026 removing 2944116 relations and 2328771 ideals in 615346 cliques
  183. Tue Jul 21 09:44:21 2026 commencing in-memory singleton removal
  184. Tue Jul 21 09:44:21 2026 begin with 57068292 relations and 57750074 unique ideals
  185. Tue Jul 21 09:44:28 2026 reduce to 56968775 relations and 55320960 ideals in 6 passes
  186. Tue Jul 21 09:44:28 2026 max relations containing the same ideal: 81
  187. Tue Jul 21 09:45:28 2026 trying target density 90
  188. Tue Jul 21 09:45:39 2026 relations with 0 large ideals: 5427
  189. Tue Jul 21 09:45:39 2026 relations with 1 large ideals: 23800
  190. Tue Jul 21 09:45:39 2026 relations with 2 large ideals: 342621
  191. Tue Jul 21 09:45:39 2026 relations with 3 large ideals: 2069975
  192. Tue Jul 21 09:45:39 2026 relations with 4 large ideals: 6739633
  193. Tue Jul 21 09:45:39 2026 relations with 5 large ideals: 13020131
  194. Tue Jul 21 09:45:39 2026 relations with 6 large ideals: 15682577
  195. Tue Jul 21 09:45:39 2026 relations with 7+ large ideals: 19084611
  196. Tue Jul 21 09:45:39 2026 commencing 2-way merge
  197. Tue Jul 21 09:47:00 2026 reduce to 36557934 relation sets and 34910119 unique ideals
  198. Tue Jul 21 09:47:00 2026 commencing full merge
  199. Tue Jul 21 10:12:42 2026 memory use: 4219.2 MB
  200. Tue Jul 21 10:12:55 2026 found 18352545 cycles, need 18128319
  201. Tue Jul 21 10:13:11 2026 weight of 18128319 cycles is about 1632003376 (90.03/cycle)
  202. Tue Jul 21 10:13:11 2026 distribution of cycle lengths:
  203. Tue Jul 21 10:13:11 2026 1 relations: 1621847
  204. Tue Jul 21 10:13:11 2026 2 relations: 1784825
  205. Tue Jul 21 10:13:11 2026 3 relations: 1877802
  206. Tue Jul 21 10:13:11 2026 4 relations: 1822214
  207. Tue Jul 21 10:13:11 2026 5 relations: 1742714
  208. Tue Jul 21 10:13:11 2026 6 relations: 1641138
  209. Tue Jul 21 10:13:11 2026 7 relations: 1500117
  210. Tue Jul 21 10:13:11 2026 8 relations: 1329344
  211. Tue Jul 21 10:13:11 2026 9 relations: 1139451
  212. Tue Jul 21 10:13:11 2026 10+ relations: 3668867
  213. Tue Jul 21 10:13:11 2026 heaviest cycle: 20 relations
  214. Tue Jul 21 10:13:22 2026 commencing cycle optimization
  215. Tue Jul 21 10:14:54 2026 start with 112867297 relations
  216. Tue Jul 21 10:22:24 2026 pruned 3571439 relations
  217. Tue Jul 21 10:22:28 2026 memory use: 3505.7 MB
  218. Tue Jul 21 10:22:28 2026 distribution of cycle lengths:
  219. Tue Jul 21 10:22:28 2026 1 relations: 1621847
  220. Tue Jul 21 10:22:28 2026 2 relations: 1829317
  221. Tue Jul 21 10:22:28 2026 3 relations: 1954344
  222. Tue Jul 21 10:22:28 2026 4 relations: 1881956
  223. Tue Jul 21 10:22:28 2026 5 relations: 1808842
  224. Tue Jul 21 10:22:28 2026 6 relations: 1691368
  225. Tue Jul 21 10:22:28 2026 7 relations: 1542974
  226. Tue Jul 21 10:22:28 2026 8 relations: 1351248
  227. Tue Jul 21 10:22:28 2026 9 relations: 1146660
  228. Tue Jul 21 10:22:28 2026 10+ relations: 3299763
  229. Tue Jul 21 10:22:28 2026 heaviest cycle: 20 relations
  230. Tue Jul 21 10:24:24 2026 trying target density 110
  231. Tue Jul 21 10:24:35 2026 relations with 0 large ideals: 5427
  232. Tue Jul 21 10:24:35 2026 relations with 1 large ideals: 23800
  233. Tue Jul 21 10:24:35 2026 relations with 2 large ideals: 342621
  234. Tue Jul 21 10:24:35 2026 relations with 3 large ideals: 2069975
  235. Tue Jul 21 10:24:35 2026 relations with 4 large ideals: 6739633
  236. Tue Jul 21 10:24:35 2026 relations with 5 large ideals: 13020131
  237. Tue Jul 21 10:24:35 2026 relations with 6 large ideals: 15682577
  238. Tue Jul 21 10:24:35 2026 relations with 7+ large ideals: 19084611
  239. Tue Jul 21 10:24:35 2026 commencing 2-way merge
  240. Tue Jul 21 10:25:40 2026 reduce to 36557934 relation sets and 34910119 unique ideals
  241. Tue Jul 21 10:25:40 2026 commencing full merge
  242. Tue Jul 21 10:58:36 2026 memory use: 4349.1 MB
  243. Tue Jul 21 10:58:49 2026 found 17157537 cycles, need 16958319
  244. Tue Jul 21 10:58:59 2026 weight of 16958319 cycles is about 1865852802 (110.03/cycle)
  245. Tue Jul 21 10:58:59 2026 distribution of cycle lengths:
  246. Tue Jul 21 10:58:59 2026 1 relations: 1053637
  247. Tue Jul 21 10:58:59 2026 2 relations: 1315911
  248. Tue Jul 21 10:58:59 2026 3 relations: 1450787
  249. Tue Jul 21 10:58:59 2026 4 relations: 1421312
  250. Tue Jul 21 10:58:59 2026 5 relations: 1404401
  251. Tue Jul 21 10:58:59 2026 6 relations: 1363275
  252. Tue Jul 21 10:58:59 2026 7 relations: 1291450
  253. Tue Jul 21 10:58:59 2026 8 relations: 1213319
  254. Tue Jul 21 10:58:59 2026 9 relations: 1109850
  255. Tue Jul 21 10:58:59 2026 10+ relations: 5334377
  256. Tue Jul 21 10:58:59 2026 heaviest cycle: 24 relations
  257. Tue Jul 21 10:59:09 2026 commencing cycle optimization
  258. Tue Jul 21 11:00:28 2026 start with 128670611 relations
  259. Tue Jul 21 11:07:57 2026 pruned 5035164 relations
  260. Tue Jul 21 11:07:59 2026 memory use: 3672.0 MB
  261. Tue Jul 21 11:07:59 2026 distribution of cycle lengths:
  262. Tue Jul 21 11:07:59 2026 1 relations: 1053637
  263. Tue Jul 21 11:07:59 2026 2 relations: 1350958
  264. Tue Jul 21 11:07:59 2026 3 relations: 1513315
  265. Tue Jul 21 11:07:59 2026 4 relations: 1476226
  266. Tue Jul 21 11:07:59 2026 5 relations: 1467838
  267. Tue Jul 21 11:07:59 2026 6 relations: 1418309
  268. Tue Jul 21 11:07:59 2026 7 relations: 1347369
  269. Tue Jul 21 11:07:59 2026 8 relations: 1255819
  270. Tue Jul 21 11:07:59 2026 9 relations: 1143394
  271. Tue Jul 21 11:07:59 2026 10+ relations: 4931454
  272. Tue Jul 21 11:07:59 2026 heaviest cycle: 24 relations
  273. Tue Jul 21 11:08:46 2026 trying target density 130
  274. Tue Jul 21 11:08:52 2026 relations with 0 large ideals: 5427
  275. Tue Jul 21 11:08:52 2026 relations with 1 large ideals: 23800
  276. Tue Jul 21 11:08:52 2026 relations with 2 large ideals: 342621
  277. Tue Jul 21 11:08:52 2026 relations with 3 large ideals: 2069975
  278. Tue Jul 21 11:08:52 2026 relations with 4 large ideals: 6739633
  279. Tue Jul 21 11:08:52 2026 relations with 5 large ideals: 13020131
  280. Tue Jul 21 11:08:52 2026 relations with 6 large ideals: 15682577
  281. Tue Jul 21 11:08:52 2026 relations with 7+ large ideals: 19084611
  282. Tue Jul 21 11:08:52 2026 commencing 2-way merge
  283. Tue Jul 21 11:09:19 2026 reduce to 36557934 relation sets and 34910119 unique ideals
  284. Tue Jul 21 11:09:19 2026 commencing full merge
  285. Tue Jul 21 11:23:02 2026 memory use: 4440.2 MB
  286. Tue Jul 21 11:23:06 2026 found 16216812 cycles, need 16104319
  287. Tue Jul 21 11:23:10 2026 weight of 16104319 cycles is about 2094383343 (130.05/cycle)
  288. Tue Jul 21 11:23:10 2026 distribution of cycle lengths:
  289. Tue Jul 21 11:23:10 2026 1 relations: 699293
  290. Tue Jul 21 11:23:10 2026 2 relations: 1006526
  291. Tue Jul 21 11:23:10 2026 3 relations: 1148538
  292. Tue Jul 21 11:23:10 2026 4 relations: 1159078
  293. Tue Jul 21 11:23:10 2026 5 relations: 1163534
  294. Tue Jul 21 11:23:10 2026 6 relations: 1141141
  295. Tue Jul 21 11:23:10 2026 7 relations: 1119820
  296. Tue Jul 21 11:23:10 2026 8 relations: 1068338
  297. Tue Jul 21 11:23:10 2026 9 relations: 1014097
  298. Tue Jul 21 11:23:10 2026 10+ relations: 6583954
  299. Tue Jul 21 11:23:10 2026 heaviest cycle: 28 relations
  300. Tue Jul 21 11:23:13 2026 commencing cycle optimization
  301. Tue Jul 21 11:23:43 2026 start with 143878896 relations
  302. Tue Jul 21 11:33:09 2026 pruned 6575175 relations
  303. Tue Jul 21 11:33:09 2026 memory use: 3827.0 MB
  304. Tue Jul 21 11:33:09 2026 distribution of cycle lengths:
  305. Tue Jul 21 11:33:09 2026 1 relations: 699293
  306. Tue Jul 21 11:33:09 2026 2 relations: 1034482
  307. Tue Jul 21 11:33:09 2026 3 relations: 1200174
  308. Tue Jul 21 11:33:09 2026 4 relations: 1208035
  309. Tue Jul 21 11:33:09 2026 5 relations: 1220829
  310. Tue Jul 21 11:33:09 2026 6 relations: 1195647
  311. Tue Jul 21 11:33:09 2026 7 relations: 1176136
  312. Tue Jul 21 11:33:09 2026 8 relations: 1118616
  313. Tue Jul 21 11:33:09 2026 9 relations: 1061910
  314. Tue Jul 21 11:33:09 2026 10+ relations: 6189197
  315. Tue Jul 21 11:33:09 2026 heaviest cycle: 28 relations
  316. Tue Jul 21 11:34:27 2026 RelProcTime: 13997
  317. Tue Jul 21 11:34:27 2026
  318. Tue Jul 21 11:34:27 2026 commencing linear algebra
  319. Tue Jul 21 11:34:27 2026 using VBITS=256
  320. Tue Jul 21 11:34:27 2026 building matrices for all densities
  321. Tue Jul 21 11:34:27 2026 found 3 density files
  322. Tue Jul 21 11:34:27 2026 building matrix for density 90
  323. Tue Jul 21 11:34:35 2026 read 18128319 cycles
  324. Tue Jul 21 11:35:28 2026 cycles contain 56071595 unique relations
  325. Tue Jul 21 11:45:45 2026 read 56071595 relations
  326. Tue Jul 21 11:46:05 2026 using 20 quadratic characters above 4294917295
  327. Tue Jul 21 11:46:30 2026 building initial matrix
  328. Tue Jul 21 12:03:30 2026 memory use: 7753.0 MB
  329. Tue Jul 21 12:03:43 2026 read 18128319 cycles
  330. Tue Jul 21 12:03:46 2026 matrix is 18128142 x 18128319 (6772.8 MB) with weight 2067572380 (114.05/col)
  331. Tue Jul 21 12:03:46 2026 sparse part has weight 1557897622 (85.94/col)
  332. Tue Jul 21 12:08:24 2026 filtering completed in 2 passes
  333. Tue Jul 21 12:08:29 2026 matrix is 18125121 x 18125296 (6772.5 MB) with weight 2067458004 (114.06/col)
  334. Tue Jul 21 12:08:29 2026 sparse part has weight 1557865868 (85.95/col)
  335. Tue Jul 21 12:09:37 2026 building matrix for density 110
  336. Tue Jul 21 12:09:39 2026 read 16958319 cycles
  337. Tue Jul 21 12:10:19 2026 cycles contain 56083248 unique relations
  338. Tue Jul 21 12:13:14 2026 read 56083248 relations
  339. Tue Jul 21 12:13:35 2026 using 20 quadratic characters above 4294917295
  340. Tue Jul 21 12:13:59 2026 building initial matrix
  341. Tue Jul 21 12:37:43 2026 memory use: 7773.3 MB
  342. Tue Jul 21 12:38:43 2026 read 16958319 cycles
  343. Tue Jul 21 12:38:47 2026 matrix is 16958141 x 16958319 (7474.1 MB) with weight 2263345119 (133.47/col)
  344. Tue Jul 21 12:38:47 2026 sparse part has weight 1755789229 (103.54/col)
  345. Tue Jul 21 12:44:26 2026 filtering completed in 2 passes
  346. Tue Jul 21 12:44:37 2026 matrix is 16956729 x 16956906 (7474.0 MB) with weight 2263285295 (133.47/col)
  347. Tue Jul 21 12:44:37 2026 sparse part has weight 1755771777 (103.54/col)
  348. Tue Jul 21 12:46:24 2026 building matrix for density 130
  349. Tue Jul 21 12:46:28 2026 read 16104319 cycles
  350. Tue Jul 21 12:47:39 2026 cycles contain 56083388 unique relations
  351. Tue Jul 21 12:59:36 2026 read 56083388 relations
  352. Tue Jul 21 13:00:07 2026 using 20 quadratic characters above 4294917295
  353. Tue Jul 21 13:00:41 2026 building initial matrix
  354. Tue Jul 21 13:27:35 2026 memory use: 7799.4 MB
  355. Tue Jul 21 13:28:34 2026 read 16104319 cycles
  356. Tue Jul 21 13:28:37 2026 matrix is 16104142 x 16104319 (8158.7 MB) with weight 2452253139 (152.27/col)
  357. Tue Jul 21 13:28:37 2026 sparse part has weight 1945490050 (120.81/col)
  358. Tue Jul 21 13:34:47 2026 filtering completed in 2 passes
  359. Tue Jul 21 13:34:56 2026 matrix is 16103627 x 16103803 (8158.6 MB) with weight 2452228283 (152.28/col)
  360. Tue Jul 21 13:34:56 2026 sparse part has weight 1945482017 (120.81/col)
  361. Tue Jul 21 13:36:17 2026 BLanczosTime: 7310
  362. Tue Jul 21 13:36:17 2026 elapsed time 05:55:08
  363. Tue Jul 21 19:17:48 2026
  364. Tue Jul 21 19:17:48 2026
  365. Tue Jul 21 19:17:48 2026 Msieve v. 1.54 (SVN unknown)
  366. Tue Jul 21 19:17:48 2026 random seeds: ae6d6993 3d8fe4e4
  367. Tue Jul 21 19:17:48 2026 Using 8 OpenMP threads
  368. Tue Jul 21 19:17:48 2026 factoring 2041531485036682635618067628927053922079413684324636081251860930617893835145318589938456639965694674185047339191543573115187025836739568546343371825676472375109373006155783710562407491 (184 digits)
  369. Tue Jul 21 19:17:49 2026 no P-1/P+1/ECM available, skipping
  370. Tue Jul 21 19:17:49 2026 commencing number field sieve (184-digit input)
  371. Tue Jul 21 19:17:49 2026 R0: -408180465089016175837610309713531847
  372. Tue Jul 21 19:17:49 2026 R1: 85343814791021286856817
  373. Tue Jul 21 19:17:49 2026 A0: -234225328866927376090683471077034211144680
  374. Tue Jul 21 19:17:49 2026 A1: 23069715341515880954363862831721281
  375. Tue Jul 21 19:17:49 2026 A2: 11796920147864167038565703558
  376. Tue Jul 21 19:17:49 2026 A3: -484145373872101592575
  377. Tue Jul 21 19:17:49 2026 A4: -91921601861312
  378. Tue Jul 21 19:17:49 2026 A5: 720720
  379. Tue Jul 21 19:17:49 2026 skew 13010022.55, size 8.000e-18, alpha -5.729, combined = 6.404e-14 rroots = 5
  380. Tue Jul 21 19:17:49 2026
  381. Tue Jul 21 19:17:49 2026 commencing linear algebra
  382. Tue Jul 21 19:17:49 2026 using VBITS=256
  383. Tue Jul 21 19:17:49 2026 skipping matrix build
  384. Tue Jul 21 19:17:54 2026 matrix starts at (0, 0)
  385. Tue Jul 21 19:17:56 2026 matrix is 16103627 x 16103803 (8158.6 MB) with weight 2452228283 (152.28/col)
  386. Tue Jul 21 19:17:56 2026 sparse part has weight 1945482017 (120.81/col)
  387. Tue Jul 21 19:17:56 2026 saving the first 240 matrix rows for later
  388. Tue Jul 21 19:17:59 2026 matrix includes 256 packed rows
  389. Tue Jul 21 19:18:03 2026 matrix is 16103387 x 16103803 (7414.2 MB) with weight 1786465394 (110.93/col)
  390. Tue Jul 21 19:18:03 2026 sparse part has weight 1685935635 (104.69/col)
  391. Tue Jul 21 19:18:04 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  392. Tue Jul 21 19:18:04 2026 selected card has CUDA arch 12.0
  393. Tue Jul 21 19:18:05 2026 computed block_nnz 164665915 (L2 cache 100663296 bytes, average column weight 104.7)
  394. Tue Jul 21 19:18:05 2026 nonzeros per matrix block: 256000000
  395. Tue Jul 21 19:19:57 2026 commencing Lanczos iteration
  396. Tue Jul 21 19:19:59 2026 memory use: 17654.3 MB
  397. Tue Jul 21 19:20:13 2026 linear algebra at 0.2%, ETA 2h 2m
  398. Tue Jul 21 19:20:33 2026 checking every 130000 dimensions, checkpointing every 8190000 dimensions
  399. Tue Jul 21 21:19:21 2026 lanczos halted after 63093 iterations (dim = 16103385)
  400. Tue Jul 21 21:20:14 2026 recovered 31 nontrivial dependencies
  401. Tue Jul 21 21:20:15 2026 BLanczosTime: 7346
  402. Tue Jul 21 21:20:15 2026 elapsed time 02:02:27
  403. Tue Jul 21 18:57:40 2026
  404. Tue Jul 21 18:57:40 2026
  405. Tue Jul 21 18:57:40 2026 Msieve v. 1.54 (SVN unknown)
  406. Tue Jul 21 18:57:40 2026 random seeds: 33e3f47f 60cbd27f
  407. Tue Jul 21 18:57:40 2026 Using 8 OpenMP threads
  408. Tue Jul 21 18:57:40 2026 factoring 2041531485036682635618067628927053922079413684324636081251860930617893835145318589938456639965694674185047339191543573115187025836739568546343371825676472375109373006155783710562407491 (184 digits)
  409. Tue Jul 21 18:57:40 2026 no P-1/P+1/ECM available, skipping
  410. Tue Jul 21 18:57:40 2026 commencing number field sieve (184-digit input)
  411. Tue Jul 21 18:57:40 2026 R0: -408180465089016175837610309713531847
  412. Tue Jul 21 18:57:40 2026 R1: 85343814791021286856817
  413. Tue Jul 21 18:57:40 2026 A0: -234225328866927376090683471077034211144680
  414. Tue Jul 21 18:57:40 2026 A1: 23069715341515880954363862831721281
  415. Tue Jul 21 18:57:40 2026 A2: 11796920147864167038565703558
  416. Tue Jul 21 18:57:40 2026 A3: -484145373872101592575
  417. Tue Jul 21 18:57:40 2026 A4: -91921601861312
  418. Tue Jul 21 18:57:40 2026 A5: 720720
  419. Tue Jul 21 18:57:40 2026 skew 13010022.55, size 8.000e-18, alpha -5.729, combined = 6.404e-14 rroots = 5
  420. Tue Jul 21 18:57:40 2026
  421. Tue Jul 21 18:57:40 2026 commencing square root phase
  422. Tue Jul 21 18:57:40 2026 reading relations for dependency 1
  423. Tue Jul 21 18:57:42 2026 read 8053879 cycles
  424. Tue Jul 21 18:57:54 2026 cycles contain 28049096 unique relations
  425. Tue Jul 21 19:00:49 2026 read 28049096 relations
  426. Tue Jul 21 19:02:44 2026 multiplying 28049096 relations
  427. Tue Jul 21 19:06:50 2026 multiply complete, coefficients have about 1681.42 million bits
  428. Tue Jul 21 19:06:54 2026 initial square root is modulo 34863511
  429. Tue Jul 21 19:15:27 2026 GCD is 1, no factor found
  430. Tue Jul 21 19:15:27 2026 reading relations for dependency 2
  431. Tue Jul 21 19:15:28 2026 read 8049632 cycles
  432. Tue Jul 21 19:15:44 2026 cycles contain 28042840 unique relations
  433. Tue Jul 21 19:19:10 2026 read 28042840 relations
  434. Tue Jul 21 19:21:09 2026 multiplying 28042840 relations
  435. Tue Jul 21 19:25:08 2026 multiply complete, coefficients have about 1681.05 million bits
  436. Tue Jul 21 19:25:12 2026 initial square root is modulo 34731409
  437. Tue Jul 21 19:33:28 2026 sqrtTime: 2148
  438. Tue Jul 21 19:33:28 2026 p60 factor: 101983273344094189152824024992205670588921386111711115040661
  439. Tue Jul 21 19:33:28 2026 p125 factor: 20018297296150740909040140806163574234964810505567983401244480945027712967313448032558924953986306651112064672317485700327031
  440. Tue Jul 21 19:33:28 2026 elapsed time 00:35:48
  441.  
Tags: math
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