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kyleaskine
Jul 9th, 2026
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  1. Wed Jul 8 21:59:30 2026
  2. Wed Jul 8 21:59:30 2026
  3. Wed Jul 8 21:59:30 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Jul 8 21:59:30 2026 random seeds: b0fa1032 b37c3f6d
  5. Wed Jul 8 21:59:30 2026 Using 8 OpenMP threads
  6. Wed Jul 8 21:59:30 2026 factoring 48245153795631473559636517429603640638563606868815265682482605434526131448153978097012912288625480775469254822742279844976039214581364460637155838343964006192429833455372964301 (176 digits)
  7. Wed Jul 8 21:59:30 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jul 8 21:59:30 2026 commencing number field sieve (176-digit input)
  9. Wed Jul 8 21:59:30 2026 R0: -17706349128628821185801090293647645
  10. Wed Jul 8 21:59:30 2026 R1: 7422911016805408123721
  11. Wed Jul 8 21:59:30 2026 A0: -63851365470654030497568009549391596434532
  12. Wed Jul 8 21:59:30 2026 A1: 60565385342398770228316135220958538
  13. Wed Jul 8 21:59:30 2026 A2: -6139904855942446171877360142
  14. Wed Jul 8 21:59:30 2026 A3: -340706043094813263487
  15. Wed Jul 8 21:59:30 2026 A4: 7012826254170
  16. Wed Jul 8 21:59:30 2026 A5: 83160
  17. Wed Jul 8 21:59:30 2026 skew 22827176.57, size 4.745e-17, alpha -6.675, combined = 1.878e-13 rroots = 5
  18. Wed Jul 8 21:59:30 2026
  19. Wed Jul 8 21:59:30 2026 commencing relation filtering
  20. Wed Jul 8 21:59:30 2026 setting 3 target densities:Wed Jul 8 21:59:30 2026 90Wed Jul 8 21:59:30 2026 110Wed Jul 8 21:59:30 2026 130Wed Jul 8 21:59:30 2026
  21. Wed Jul 8 21:59:30 2026 estimated available RAM is 78540.1 MB
  22. Wed Jul 8 21:59:30 2026 commencing duplicate removal, pass 1
  23. Wed Jul 8 22:04:30 2026 error -1 reading relation 87795127
  24. Wed Jul 8 22:04:46 2026 error -1 reading relation 92946971
  25. Wed Jul 8 22:05:20 2026 error -1 reading relation 103696912
  26. Wed Jul 8 22:08:04 2026 error -1 reading relation 153695020
  27. Wed Jul 8 22:08:42 2026 error -1 reading relation 164513194
  28. Wed Jul 8 22:08:48 2026 error -1 reading relation 166289105
  29. Wed Jul 8 22:11:50 2026 error -1 reading relation 212935746
  30. Wed Jul 8 22:11:50 2026 error -1 reading relation 212948415
  31. Wed Jul 8 22:12:26 2026 error -1 reading relation 222840271
  32. Wed Jul 8 22:13:08 2026 error -1 reading relation 234740108
  33. Wed Jul 8 22:13:19 2026 error -1 reading relation 237924582
  34. Wed Jul 8 22:13:38 2026 error -1 reading relation 243794188
  35. Wed Jul 8 22:15:20 2026 error -1 reading relation 275027142
  36. Wed Jul 8 22:15:22 2026 error -1 reading relation 275641495
  37. Wed Jul 8 22:15:24 2026 error -1 reading relation 276083625
  38. Wed Jul 8 22:15:25 2026 error -1 reading relation 276230627
  39. Wed Jul 8 22:15:25 2026 error -1 reading relation 276431441
  40. Wed Jul 8 22:15:30 2026 error -1 reading relation 277707585
  41. Wed Jul 8 22:16:17 2026 error -1 reading relation 292599674
  42. Wed Jul 8 22:16:54 2026 error -1 reading relation 303435444
  43. Wed Jul 8 22:17:07 2026 error -1 reading relation 306904407
  44. Wed Jul 8 22:17:08 2026 error -1 reading relation 307220055
  45. Wed Jul 8 22:17:58 2026 skipped 191 malformed relations
  46. Wed Jul 8 22:17:58 2026 found 53412825 hash collisions in 323000963 relations
  47. Wed Jul 8 22:18:15 2026 added 121661 free relations
  48. Wed Jul 8 22:18:15 2026 commencing duplicate removal, pass 2
  49. Wed Jul 8 22:23:16 2026 found 52097671 duplicates and 271024953 unique relations
  50. Wed Jul 8 22:23:16 2026 memory use: 1705.5 MB
  51. Wed Jul 8 22:23:16 2026 reading ideals above 720000
  52. Wed Jul 8 22:23:16 2026 commencing singleton removal, initial pass
  53. Wed Jul 8 22:58:55 2026 memory use: 6024.0 MB
  54. Wed Jul 8 22:58:56 2026 reading all ideals from disk
  55. Wed Jul 8 22:59:11 2026 memory use: 12997.2 MB
  56. Wed Jul 8 22:59:48 2026 keeping 245095075 ideals with weight <= 200, target excess is 1400262
  57. Wed Jul 8 23:00:47 2026 commencing in-memory singleton removal
  58. Wed Jul 8 23:00:54 2026 begin with 271024953 relations and 245095075 unique ideals
  59. Wed Jul 8 23:02:00 2026 reduce to 172531833 relations and 136722334 ideals in 14 passes
  60. Wed Jul 8 23:02:00 2026 max relations containing the same ideal: 159
  61. Wed Jul 8 23:04:10 2026 removing 11158295 relations and 9158295 ideals in 2000000 cliques
  62. Wed Jul 8 23:04:15 2026 commencing in-memory singleton removal
  63. Wed Jul 8 23:04:19 2026 begin with 161373538 relations and 136722334 unique ideals
  64. Wed Jul 8 23:04:49 2026 reduce to 160834027 relations and 127016513 ideals in 8 passes
  65. Wed Jul 8 23:04:49 2026 max relations containing the same ideal: 151
  66. Wed Jul 8 23:06:41 2026 removing 8548659 relations and 6548659 ideals in 2000000 cliques
  67. Wed Jul 8 23:06:47 2026 commencing in-memory singleton removal
  68. Wed Jul 8 23:06:49 2026 begin with 152285368 relations and 127016513 unique ideals
  69. Wed Jul 8 23:07:15 2026 reduce to 151923883 relations and 120101623 ideals in 7 passes
  70. Wed Jul 8 23:07:15 2026 max relations containing the same ideal: 143
  71. Wed Jul 8 23:09:03 2026 removing 7754433 relations and 5754433 ideals in 2000000 cliques
  72. Wed Jul 8 23:09:09 2026 commencing in-memory singleton removal
  73. Wed Jul 8 23:09:13 2026 begin with 144169450 relations and 120101623 unique ideals
  74. Wed Jul 8 23:09:35 2026 reduce to 143847536 relations and 114021175 ideals in 7 passes
  75. Wed Jul 8 23:09:35 2026 max relations containing the same ideal: 142
  76. Wed Jul 8 23:11:20 2026 removing 7338548 relations and 5338548 ideals in 2000000 cliques
  77. Wed Jul 8 23:11:24 2026 commencing in-memory singleton removal
  78. Wed Jul 8 23:11:27 2026 begin with 136508988 relations and 114021175 unique ideals
  79. Wed Jul 8 23:11:50 2026 reduce to 136208446 relations and 108378106 ideals in 7 passes
  80. Wed Jul 8 23:11:50 2026 max relations containing the same ideal: 136
  81. Wed Jul 8 23:13:28 2026 removing 7086617 relations and 5086617 ideals in 2000000 cliques
  82. Wed Jul 8 23:13:33 2026 commencing in-memory singleton removal
  83. Wed Jul 8 23:13:36 2026 begin with 129121829 relations and 108378106 unique ideals
  84. Wed Jul 8 23:13:56 2026 reduce to 128828172 relations and 102993852 ideals in 7 passes
  85. Wed Jul 8 23:13:56 2026 max relations containing the same ideal: 132
  86. Wed Jul 8 23:15:26 2026 removing 6915250 relations and 4915250 ideals in 2000000 cliques
  87. Wed Jul 8 23:15:30 2026 commencing in-memory singleton removal
  88. Wed Jul 8 23:15:33 2026 begin with 121912922 relations and 102993852 unique ideals
  89. Wed Jul 8 23:15:55 2026 reduce to 121620874 relations and 97782393 ideals in 7 passes
  90. Wed Jul 8 23:15:55 2026 max relations containing the same ideal: 127
  91. Wed Jul 8 23:17:20 2026 removing 6796598 relations and 4796598 ideals in 2000000 cliques
  92. Wed Jul 8 23:17:24 2026 commencing in-memory singleton removal
  93. Wed Jul 8 23:17:27 2026 begin with 114824276 relations and 97782393 unique ideals
  94. Wed Jul 8 23:17:43 2026 reduce to 114528573 relations and 92685660 ideals in 6 passes
  95. Wed Jul 8 23:17:43 2026 max relations containing the same ideal: 120
  96. Wed Jul 8 23:19:07 2026 removing 6717530 relations and 4717530 ideals in 2000000 cliques
  97. Wed Jul 8 23:19:11 2026 commencing in-memory singleton removal
  98. Wed Jul 8 23:19:14 2026 begin with 107811043 relations and 92685660 unique ideals
  99. Wed Jul 8 23:19:30 2026 reduce to 107506285 relations and 87658580 ideals in 7 passes
  100. Wed Jul 8 23:19:30 2026 max relations containing the same ideal: 114
  101. Wed Jul 8 23:20:49 2026 removing 6668076 relations and 4668076 ideals in 2000000 cliques
  102. Wed Jul 8 23:20:53 2026 commencing in-memory singleton removal
  103. Wed Jul 8 23:20:56 2026 begin with 100838209 relations and 87658580 unique ideals
  104. Wed Jul 8 23:21:12 2026 reduce to 100521512 relations and 82668404 ideals in 7 passes
  105. Wed Jul 8 23:21:12 2026 max relations containing the same ideal: 109
  106. Wed Jul 8 23:22:28 2026 removing 6644137 relations and 4644137 ideals in 2000000 cliques
  107. Wed Jul 8 23:22:31 2026 commencing in-memory singleton removal
  108. Wed Jul 8 23:22:34 2026 begin with 93877375 relations and 82668404 unique ideals
  109. Wed Jul 8 23:22:46 2026 reduce to 93542925 relations and 77683743 ideals in 6 passes
  110. Wed Jul 8 23:22:46 2026 max relations containing the same ideal: 104
  111. Wed Jul 8 23:24:01 2026 removing 6639930 relations and 4639930 ideals in 2000000 cliques
  112. Wed Jul 8 23:24:05 2026 commencing in-memory singleton removal
  113. Wed Jul 8 23:24:07 2026 begin with 86902995 relations and 77683743 unique ideals
  114. Wed Jul 8 23:24:22 2026 reduce to 86544372 relations and 72678377 ideals in 7 passes
  115. Wed Jul 8 23:24:22 2026 max relations containing the same ideal: 98
  116. Wed Jul 8 23:25:26 2026 removing 6657210 relations and 4657210 ideals in 2000000 cliques
  117. Wed Jul 8 23:25:30 2026 commencing in-memory singleton removal
  118. Wed Jul 8 23:25:32 2026 begin with 79887162 relations and 72678377 unique ideals
  119. Wed Jul 8 23:25:47 2026 reduce to 79497843 relations and 67623899 ideals in 9 passes
  120. Wed Jul 8 23:25:47 2026 max relations containing the same ideal: 92
  121. Wed Jul 8 23:26:50 2026 removing 6701941 relations and 4701941 ideals in 2000000 cliques
  122. Wed Jul 8 23:26:54 2026 commencing in-memory singleton removal
  123. Wed Jul 8 23:26:55 2026 begin with 72795902 relations and 67623899 unique ideals
  124. Wed Jul 8 23:27:06 2026 reduce to 72367498 relations and 62484107 ideals in 7 passes
  125. Wed Jul 8 23:27:06 2026 max relations containing the same ideal: 87
  126. Wed Jul 8 23:28:01 2026 removing 6763416 relations and 4763416 ideals in 2000000 cliques
  127. Wed Jul 8 23:28:04 2026 commencing in-memory singleton removal
  128. Wed Jul 8 23:28:06 2026 begin with 65604082 relations and 62484107 unique ideals
  129. Wed Jul 8 23:28:17 2026 reduce to 65121363 relations and 57226549 ideals in 8 passes
  130. Wed Jul 8 23:28:17 2026 max relations containing the same ideal: 81
  131. Wed Jul 8 23:29:09 2026 removing 6866111 relations and 4866111 ideals in 2000000 cliques
  132. Wed Jul 8 23:29:12 2026 commencing in-memory singleton removal
  133. Wed Jul 8 23:29:14 2026 begin with 58255252 relations and 57226549 unique ideals
  134. Wed Jul 8 23:29:23 2026 reduce to 57699207 relations and 51789641 ideals in 8 passes
  135. Wed Jul 8 23:29:23 2026 max relations containing the same ideal: 75
  136. Wed Jul 8 23:30:12 2026 removing 7002105 relations and 5002105 ideals in 2000000 cliques
  137. Wed Jul 8 23:30:16 2026 commencing in-memory singleton removal
  138. Wed Jul 8 23:30:17 2026 begin with 50697102 relations and 51789641 unique ideals
  139. Wed Jul 8 23:30:25 2026 reduce to 50033099 relations and 46103745 ideals in 8 passes
  140. Wed Jul 8 23:30:25 2026 max relations containing the same ideal: 69
  141. Wed Jul 8 23:31:07 2026 removing 7184809 relations and 5184809 ideals in 2000000 cliques
  142. Wed Jul 8 23:31:11 2026 commencing in-memory singleton removal
  143. Wed Jul 8 23:31:11 2026 begin with 42848290 relations and 46103745 unique ideals
  144. Wed Jul 8 23:31:19 2026 reduce to 42020731 relations and 40063453 ideals in 9 passes
  145. Wed Jul 8 23:31:19 2026 max relations containing the same ideal: 61
  146. Wed Jul 8 23:31:51 2026 removing 1798202 relations and 1465228 ideals in 332974 cliques
  147. Wed Jul 8 23:31:53 2026 commencing in-memory singleton removal
  148. Wed Jul 8 23:31:54 2026 begin with 40222529 relations and 40063453 unique ideals
  149. Wed Jul 8 23:31:59 2026 reduce to 40168361 relations and 38543676 ideals in 7 passes
  150. Wed Jul 8 23:31:59 2026 max relations containing the same ideal: 60
  151. Wed Jul 8 23:32:38 2026 trying target density 90
  152. Wed Jul 8 23:32:43 2026 relations with 0 large ideals: 5147
  153. Wed Jul 8 23:32:43 2026 relations with 1 large ideals: 34250
  154. Wed Jul 8 23:32:43 2026 relations with 2 large ideals: 442329
  155. Wed Jul 8 23:32:43 2026 relations with 3 large ideals: 2350191
  156. Wed Jul 8 23:32:43 2026 relations with 4 large ideals: 6563373
  157. Wed Jul 8 23:32:43 2026 relations with 5 large ideals: 10681566
  158. Wed Jul 8 23:32:43 2026 relations with 6 large ideals: 10629940
  159. Wed Jul 8 23:32:43 2026 relations with 7+ large ideals: 9461565
  160. Wed Jul 8 23:32:43 2026 commencing 2-way merge
  161. Wed Jul 8 23:33:26 2026 reduce to 24792814 relation sets and 23168129 unique ideals
  162. Wed Jul 8 23:33:26 2026 commencing full merge
  163. Wed Jul 8 23:46:21 2026 memory use: 2806.7 MB
  164. Wed Jul 8 23:46:29 2026 found 12280552 cycles, need 12060329
  165. Wed Jul 8 23:46:36 2026 weight of 12060329 cycles is about 1085851241 (90.03/cycle)
  166. Wed Jul 8 23:46:36 2026 distribution of cycle lengths:
  167. Wed Jul 8 23:46:36 2026 1 relations: 1223540
  168. Wed Jul 8 23:46:36 2026 2 relations: 1114156
  169. Wed Jul 8 23:46:36 2026 3 relations: 1137708
  170. Wed Jul 8 23:46:36 2026 4 relations: 1112232
  171. Wed Jul 8 23:46:36 2026 5 relations: 1108251
  172. Wed Jul 8 23:46:36 2026 6 relations: 1066242
  173. Wed Jul 8 23:46:36 2026 7 relations: 989573
  174. Wed Jul 8 23:46:36 2026 8 relations: 886350
  175. Wed Jul 8 23:46:36 2026 9 relations: 774230
  176. Wed Jul 8 23:46:36 2026 10+ relations: 2648047
  177. Wed Jul 8 23:46:36 2026 heaviest cycle: 20 relations
  178. Wed Jul 8 23:46:42 2026 commencing cycle optimization
  179. Wed Jul 8 23:47:21 2026 start with 76784334 relations
  180. Wed Jul 8 23:51:12 2026 pruned 2401727 relations
  181. Wed Jul 8 23:51:14 2026 memory use: 2415.5 MB
  182. Wed Jul 8 23:51:14 2026 distribution of cycle lengths:
  183. Wed Jul 8 23:51:14 2026 1 relations: 1223540
  184. Wed Jul 8 23:51:14 2026 2 relations: 1141227
  185. Wed Jul 8 23:51:14 2026 3 relations: 1180333
  186. Wed Jul 8 23:51:14 2026 4 relations: 1149562
  187. Wed Jul 8 23:51:14 2026 5 relations: 1152131
  188. Wed Jul 8 23:51:14 2026 6 relations: 1101914
  189. Wed Jul 8 23:51:14 2026 7 relations: 1022634
  190. Wed Jul 8 23:51:14 2026 8 relations: 905995
  191. Wed Jul 8 23:51:14 2026 9 relations: 783983
  192. Wed Jul 8 23:51:14 2026 10+ relations: 2399010
  193. Wed Jul 8 23:51:14 2026 heaviest cycle: 20 relations
  194. Wed Jul 8 23:51:58 2026 trying target density 110
  195. Wed Jul 8 23:52:04 2026 relations with 0 large ideals: 5147
  196. Wed Jul 8 23:52:04 2026 relations with 1 large ideals: 34250
  197. Wed Jul 8 23:52:04 2026 relations with 2 large ideals: 442329
  198. Wed Jul 8 23:52:04 2026 relations with 3 large ideals: 2350191
  199. Wed Jul 8 23:52:04 2026 relations with 4 large ideals: 6563373
  200. Wed Jul 8 23:52:04 2026 relations with 5 large ideals: 10681566
  201. Wed Jul 8 23:52:04 2026 relations with 6 large ideals: 10629940
  202. Wed Jul 8 23:52:04 2026 relations with 7+ large ideals: 9461565
  203. Wed Jul 8 23:52:04 2026 commencing 2-way merge
  204. Wed Jul 8 23:52:42 2026 reduce to 24792814 relation sets and 23168129 unique ideals
  205. Wed Jul 8 23:52:42 2026 commencing full merge
  206. Thu Jul 9 00:08:18 2026 memory use: 2893.0 MB
  207. Thu Jul 9 00:08:25 2026 found 11476435 cycles, need 11282329
  208. Thu Jul 9 00:08:31 2026 weight of 11282329 cycles is about 1241683419 (110.06/cycle)
  209. Thu Jul 9 00:08:31 2026 distribution of cycle lengths:
  210. Thu Jul 9 00:08:31 2026 1 relations: 866962
  211. Thu Jul 9 00:08:31 2026 2 relations: 833338
  212. Thu Jul 9 00:08:31 2026 3 relations: 862158
  213. Thu Jul 9 00:08:31 2026 4 relations: 860797
  214. Thu Jul 9 00:08:31 2026 5 relations: 870964
  215. Thu Jul 9 00:08:31 2026 6 relations: 865729
  216. Thu Jul 9 00:08:31 2026 7 relations: 834771
  217. Thu Jul 9 00:08:31 2026 8 relations: 792908
  218. Thu Jul 9 00:08:31 2026 9 relations: 735795
  219. Thu Jul 9 00:08:31 2026 10+ relations: 3758907
  220. Thu Jul 9 00:08:31 2026 heaviest cycle: 25 relations
  221. Thu Jul 9 00:08:37 2026 commencing cycle optimization
  222. Thu Jul 9 00:09:21 2026 start with 87475692 relations
  223. Thu Jul 9 00:14:36 2026 pruned 3415857 relations
  224. Thu Jul 9 00:14:36 2026 memory use: 2526.7 MB
  225. Thu Jul 9 00:14:36 2026 distribution of cycle lengths:
  226. Thu Jul 9 00:14:36 2026 1 relations: 866962
  227. Thu Jul 9 00:14:36 2026 2 relations: 854337
  228. Thu Jul 9 00:14:36 2026 3 relations: 896619
  229. Thu Jul 9 00:14:36 2026 4 relations: 893617
  230. Thu Jul 9 00:14:36 2026 5 relations: 911047
  231. Thu Jul 9 00:14:36 2026 6 relations: 903234
  232. Thu Jul 9 00:14:36 2026 7 relations: 874757
  233. Thu Jul 9 00:14:36 2026 8 relations: 825460
  234. Thu Jul 9 00:14:36 2026 9 relations: 762836
  235. Thu Jul 9 00:14:36 2026 10+ relations: 3493460
  236. Thu Jul 9 00:14:36 2026 heaviest cycle: 24 relations
  237. Thu Jul 9 00:15:10 2026 trying target density 130
  238. Thu Jul 9 00:15:14 2026 relations with 0 large ideals: 5147
  239. Thu Jul 9 00:15:14 2026 relations with 1 large ideals: 34250
  240. Thu Jul 9 00:15:14 2026 relations with 2 large ideals: 442329
  241. Thu Jul 9 00:15:14 2026 relations with 3 large ideals: 2350191
  242. Thu Jul 9 00:15:14 2026 relations with 4 large ideals: 6563373
  243. Thu Jul 9 00:15:14 2026 relations with 5 large ideals: 10681566
  244. Thu Jul 9 00:15:14 2026 relations with 6 large ideals: 10629940
  245. Thu Jul 9 00:15:14 2026 relations with 7+ large ideals: 9461565
  246. Thu Jul 9 00:15:14 2026 commencing 2-way merge
  247. Thu Jul 9 00:15:44 2026 reduce to 24792814 relation sets and 23168129 unique ideals
  248. Thu Jul 9 00:15:44 2026 commencing full merge
  249. Thu Jul 9 00:35:20 2026 memory use: 2945.9 MB
  250. Thu Jul 9 00:35:30 2026 found 10826723 cycles, need 10716329
  251. Thu Jul 9 00:35:33 2026 weight of 10716329 cycles is about 1393230233 (130.01/cycle)
  252. Thu Jul 9 00:35:33 2026 distribution of cycle lengths:
  253. Thu Jul 9 00:35:33 2026 1 relations: 621486
  254. Thu Jul 9 00:35:33 2026 2 relations: 667868
  255. Thu Jul 9 00:35:33 2026 3 relations: 693889
  256. Thu Jul 9 00:35:33 2026 4 relations: 694151
  257. Thu Jul 9 00:35:33 2026 5 relations: 711811
  258. Thu Jul 9 00:35:33 2026 6 relations: 712562
  259. Thu Jul 9 00:35:33 2026 7 relations: 704000
  260. Thu Jul 9 00:35:33 2026 8 relations: 687700
  261. Thu Jul 9 00:35:33 2026 9 relations: 656257
  262. Thu Jul 9 00:35:33 2026 10+ relations: 4566605
  263. Thu Jul 9 00:35:33 2026 heaviest cycle: 28 relations
  264. Thu Jul 9 00:35:37 2026 commencing cycle optimization
  265. Thu Jul 9 00:36:23 2026 start with 97775845 relations
  266. Thu Jul 9 00:43:33 2026 pruned 4472056 relations
  267. Thu Jul 9 00:43:33 2026 memory use: 2631.8 MB
  268. Thu Jul 9 00:43:33 2026 distribution of cycle lengths:
  269. Thu Jul 9 00:43:33 2026 1 relations: 621486
  270. Thu Jul 9 00:43:33 2026 2 relations: 684579
  271. Thu Jul 9 00:43:33 2026 3 relations: 722173
  272. Thu Jul 9 00:43:33 2026 4 relations: 722581
  273. Thu Jul 9 00:43:33 2026 5 relations: 746372
  274. Thu Jul 9 00:43:33 2026 6 relations: 747372
  275. Thu Jul 9 00:43:33 2026 7 relations: 743016
  276. Thu Jul 9 00:43:33 2026 8 relations: 724024
  277. Thu Jul 9 00:43:33 2026 9 relations: 690292
  278. Thu Jul 9 00:43:33 2026 10+ relations: 4314434
  279. Thu Jul 9 00:43:33 2026 heaviest cycle: 28 relations
  280. Thu Jul 9 00:44:19 2026 RelProcTime: 9889
  281. Thu Jul 9 00:44:19 2026
  282. Thu Jul 9 00:44:19 2026 commencing linear algebra
  283. Thu Jul 9 00:44:19 2026 using VBITS=256
  284. Thu Jul 9 00:44:19 2026 building matrices for all densities
  285. Thu Jul 9 00:44:19 2026 found 3 density files
  286. Thu Jul 9 00:44:19 2026 building matrix for density 90
  287. Thu Jul 9 00:44:21 2026 read 12060329 cycles
  288. Thu Jul 9 00:44:54 2026 cycles contain 39230346 unique relations
  289. Thu Jul 9 00:46:25 2026 read 39230346 relations
  290. Thu Jul 9 00:46:47 2026 using 20 quadratic characters above 4294917295
  291. Thu Jul 9 00:47:15 2026 building initial matrix
  292. Thu Jul 9 01:00:22 2026 memory use: 5509.7 MB
  293. Thu Jul 9 01:00:29 2026 read 12060329 cycles
  294. Thu Jul 9 01:00:31 2026 matrix is 12060148 x 12060329 (4492.9 MB) with weight 1394120561 (115.60/col)
  295. Thu Jul 9 01:00:31 2026 sparse part has weight 1033056602 (85.66/col)
  296. Thu Jul 9 01:03:20 2026 filtering completed in 2 passes
  297. Thu Jul 9 01:03:26 2026 matrix is 12056878 x 12057059 (4492.6 MB) with weight 1393979942 (115.62/col)
  298. Thu Jul 9 01:03:26 2026 sparse part has weight 1033013531 (85.68/col)
  299. Thu Jul 9 01:04:11 2026 building matrix for density 110
  300. Thu Jul 9 01:04:12 2026 read 11282329 cycles
  301. Thu Jul 9 01:04:46 2026 cycles contain 39241857 unique relations
  302. Thu Jul 9 01:06:14 2026 read 39241857 relations
  303. Thu Jul 9 01:06:36 2026 using 20 quadratic characters above 4294917295
  304. Thu Jul 9 01:07:05 2026 building initial matrix
  305. Thu Jul 9 01:22:02 2026 memory use: 5524.3 MB
  306. Thu Jul 9 01:22:11 2026 read 11282329 cycles
  307. Thu Jul 9 01:22:15 2026 matrix is 11282150 x 11282329 (4953.6 MB) with weight 1522393418 (134.94/col)
  308. Thu Jul 9 01:22:15 2026 sparse part has weight 1163161586 (103.10/col)
  309. Thu Jul 9 01:26:46 2026 filtering completed in 2 passes
  310. Thu Jul 9 01:26:52 2026 matrix is 11280524 x 11280702 (4953.4 MB) with weight 1522312356 (134.95/col)
  311. Thu Jul 9 01:26:52 2026 sparse part has weight 1163133717 (103.11/col)
  312. Thu Jul 9 01:27:41 2026 building matrix for density 130
  313. Thu Jul 9 01:27:41 2026 read 10716329 cycles
  314. Thu Jul 9 01:28:16 2026 cycles contain 39243117 unique relations
  315. Thu Jul 9 01:29:49 2026 read 39243117 relations
  316. Thu Jul 9 01:30:11 2026 using 20 quadratic characters above 4294917295
  317. Thu Jul 9 01:30:41 2026 building initial matrix
  318. Thu Jul 9 01:47:06 2026 memory use: 5542.5 MB
  319. Thu Jul 9 01:47:15 2026 read 10716329 cycles
  320. Thu Jul 9 01:47:17 2026 matrix is 10716151 x 10716329 (5403.0 MB) with weight 1646114450 (153.61/col)
  321. Thu Jul 9 01:47:17 2026 sparse part has weight 1287767629 (120.17/col)
  322. Thu Jul 9 01:50:27 2026 filtering completed in 2 passes
  323. Thu Jul 9 01:50:31 2026 matrix is 10715592 x 10715770 (5402.9 MB) with weight 1646083470 (153.61/col)
  324. Thu Jul 9 01:50:31 2026 sparse part has weight 1287756304 (120.17/col)
  325. Thu Jul 9 01:51:10 2026 BLanczosTime: 4011
  326. Thu Jul 9 01:51:10 2026 elapsed time 03:51:40
  327. Thu Jul 9 14:24:26 2026
  328. Thu Jul 9 14:24:26 2026
  329. Thu Jul 9 14:24:26 2026 Msieve v. 1.54 (SVN unknown)
  330. Thu Jul 9 14:24:26 2026 random seeds: 185eca7d deccc0d3
  331. Thu Jul 9 14:24:26 2026 Using 8 OpenMP threads
  332. Thu Jul 9 14:24:26 2026 factoring 48245153795631473559636517429603640638563606868815265682482605434526131448153978097012912288625480775469254822742279844976039214581364460637155838343964006192429833455372964301 (176 digits)
  333. Thu Jul 9 14:24:27 2026 no P-1/P+1/ECM available, skipping
  334. Thu Jul 9 14:24:27 2026 commencing number field sieve (176-digit input)
  335. Thu Jul 9 14:24:27 2026 R0: -17706349128628821185801090293647645
  336. Thu Jul 9 14:24:27 2026 R1: 7422911016805408123721
  337. Thu Jul 9 14:24:27 2026 A0: -63851365470654030497568009549391596434532
  338. Thu Jul 9 14:24:27 2026 A1: 60565385342398770228316135220958538
  339. Thu Jul 9 14:24:27 2026 A2: -6139904855942446171877360142
  340. Thu Jul 9 14:24:27 2026 A3: -340706043094813263487
  341. Thu Jul 9 14:24:27 2026 A4: 7012826254170
  342. Thu Jul 9 14:24:27 2026 A5: 83160
  343. Thu Jul 9 14:24:27 2026 skew 22827176.57, size 4.745e-17, alpha -6.675, combined = 1.878e-13 rroots = 5
  344. Thu Jul 9 14:24:27 2026
  345. Thu Jul 9 14:24:27 2026 commencing linear algebra
  346. Thu Jul 9 14:24:27 2026 using VBITS=256
  347. Thu Jul 9 14:24:27 2026 skipping matrix build
  348. Thu Jul 9 14:24:31 2026 matrix starts at (0, 0)
  349. Thu Jul 9 14:24:33 2026 matrix is 10715592 x 10715770 (5402.9 MB) with weight 1646083470 (153.61/col)
  350. Thu Jul 9 14:24:33 2026 sparse part has weight 1287756304 (120.17/col)
  351. Thu Jul 9 14:24:33 2026 saving the first 240 matrix rows for later
  352. Thu Jul 9 14:24:35 2026 matrix includes 256 packed rows
  353. Thu Jul 9 14:24:40 2026 matrix is 10715352 x 10715770 (4898.9 MB) with weight 1181383243 (110.25/col)
  354. Thu Jul 9 14:24:40 2026 sparse part has weight 1112774131 (103.84/col)
  355. Thu Jul 9 14:24:40 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  356. Thu Jul 9 14:24:40 2026 selected card has CUDA arch 12.0
  357. Thu Jul 9 14:24:42 2026 computed block_nnz 163333327 (L2 cache 100663296 bytes, average column weight 103.8)
  358. Thu Jul 9 14:24:42 2026 nonzeros per matrix block: 256000000
  359. Thu Jul 9 14:26:31 2026 commencing Lanczos iteration
  360. Thu Jul 9 14:26:34 2026 memory use: 11514.7 MB
  361. Thu Jul 9 14:26:45 2026 linear algebra at 0.3%, ETA 0h58m
  362. Thu Jul 9 14:26:59 2026 checking every 190000 dimensions, checkpointing every 11590000 dimensions
  363. Thu Jul 9 15:21:45 2026 lanczos halted after 41983 iterations (dim = 10715350)
  364. Thu Jul 9 15:22:37 2026 recovered 29 nontrivial dependencies
  365. Thu Jul 9 15:22:38 2026 BLanczosTime: 3491
  366. Thu Jul 9 15:22:38 2026 elapsed time 00:58:12
  367. Thu Jul 9 11:29:23 2026
  368. Thu Jul 9 11:29:23 2026
  369. Thu Jul 9 11:29:23 2026 Msieve v. 1.54 (SVN unknown)
  370. Thu Jul 9 11:29:23 2026 random seeds: 551806a7 6fdd7ed0
  371. Thu Jul 9 11:29:23 2026 Using 8 OpenMP threads
  372. Thu Jul 9 11:29:23 2026 factoring 48245153795631473559636517429603640638563606868815265682482605434526131448153978097012912288625480775469254822742279844976039214581364460637155838343964006192429833455372964301 (176 digits)
  373. Thu Jul 9 11:29:23 2026 no P-1/P+1/ECM available, skipping
  374. Thu Jul 9 11:29:23 2026 commencing number field sieve (176-digit input)
  375. Thu Jul 9 11:29:23 2026 R0: -17706349128628821185801090293647645
  376. Thu Jul 9 11:29:23 2026 R1: 7422911016805408123721
  377. Thu Jul 9 11:29:23 2026 A0: -63851365470654030497568009549391596434532
  378. Thu Jul 9 11:29:23 2026 A1: 60565385342398770228316135220958538
  379. Thu Jul 9 11:29:23 2026 A2: -6139904855942446171877360142
  380. Thu Jul 9 11:29:23 2026 A3: -340706043094813263487
  381. Thu Jul 9 11:29:23 2026 A4: 7012826254170
  382. Thu Jul 9 11:29:23 2026 A5: 83160
  383. Thu Jul 9 11:29:23 2026 skew 22827176.57, size 4.745e-17, alpha -6.675, combined = 1.878e-13 rroots = 5
  384. Thu Jul 9 11:29:23 2026
  385. Thu Jul 9 11:29:23 2026 commencing square root phase
  386. Thu Jul 9 11:29:23 2026 reading relations for dependency 1
  387. Thu Jul 9 11:29:25 2026 read 5359359 cycles
  388. Thu Jul 9 11:29:43 2026 cycles contain 19619078 unique relations
  389. Thu Jul 9 11:31:25 2026 read 19619078 relations
  390. Thu Jul 9 11:33:48 2026 multiplying 19619078 relations
  391. Thu Jul 9 11:37:45 2026 multiply complete, coefficients have about 1091.74 million bits
  392. Thu Jul 9 11:37:50 2026 initial square root is modulo 79063
  393. Thu Jul 9 11:47:57 2026 GCD is 1, no factor found
  394. Thu Jul 9 11:47:57 2026 reading relations for dependency 2
  395. Thu Jul 9 11:47:58 2026 read 5358616 cycles
  396. Thu Jul 9 11:48:18 2026 cycles contain 19620526 unique relations
  397. Thu Jul 9 11:49:19 2026 read 19620526 relations
  398. Thu Jul 9 11:51:39 2026 multiplying 19620526 relations
  399. Thu Jul 9 11:55:13 2026 multiply complete, coefficients have about 1091.82 million bits
  400. Thu Jul 9 11:55:17 2026 initial square root is modulo 79063
  401. Thu Jul 9 12:04:13 2026 sqrtTime: 2090
  402. Thu Jul 9 12:04:13 2026 p71 factor: 19089472147403504455959831392847684946439493124521308684565076737924017
  403. Thu Jul 9 12:04:13 2026 p106 factor: 2527317330887729221347903992941246919748310781311464896464729846945006807649592099021697573601802608364253
  404. Thu Jul 9 12:04:13 2026 elapsed time 00:34:50
  405.  
Tags: math
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