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kyleaskine
Aug 1st, 2026
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  1. Sat Aug 1 18:15:45 2026
  2. Sat Aug 1 18:15:45 2026
  3. Sat Aug 1 18:15:45 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Aug 1 18:15:45 2026 random seeds: 16b5b73a fe1f7e82
  5. Sat Aug 1 18:15:45 2026 Using 8 OpenMP threads
  6. Sat Aug 1 18:15:45 2026 factoring 83875921785994722881288561130983264514578840968798457081814580936598346910466899812952876824197276831279795239786655462142517538921769695523227733739590565121095888851062285574479887 (182 digits)
  7. Sat Aug 1 18:15:45 2026 no P-1/P+1/ECM available, skipping
  8. Sat Aug 1 18:15:45 2026 commencing number field sieve (182-digit input)
  9. Sat Aug 1 18:15:45 2026 R0: -265984970972912654872778824060170574
  10. Sat Aug 1 18:15:45 2026 R1: 14316424114512749345503
  11. Sat Aug 1 18:15:45 2026 A0: 156329236717274573848554613319313041213117160
  12. Sat Aug 1 18:15:45 2026 A1: -17512574080635702649883095389853997647
  13. Sat Aug 1 18:15:45 2026 A2: -1541044871803146753716327744600
  14. Sat Aug 1 18:15:45 2026 A3: 7000147004914673222237
  15. Sat Aug 1 18:15:45 2026 A4: 60723258091890
  16. Sat Aug 1 18:15:45 2026 A5: 126000
  17. Sat Aug 1 18:15:45 2026 skew 117345328.33, size 1.062e-17, alpha -8.733, combined = 7.470e-14 rroots = 3
  18. Sat Aug 1 18:15:45 2026
  19. Sat Aug 1 18:15:45 2026 commencing relation filtering
  20. Sat Aug 1 18:15:45 2026 setting 3 target densities:Sat Aug 1 18:15:45 2026 90Sat Aug 1 18:15:45 2026 110Sat Aug 1 18:15:45 2026 130Sat Aug 1 18:15:45 2026
  21. Sat Aug 1 18:15:45 2026 estimated available RAM is 78540.1 MB
  22. Sat Aug 1 18:15:45 2026 commencing duplicate removal, pass 1
  23. Sat Aug 1 18:15:58 2026 error -1 reading relation 12896168
  24. Sat Aug 1 18:16:21 2026 error -1 reading relation 34955737
  25. Sat Aug 1 18:17:00 2026 error -1 reading relation 70406128
  26. Sat Aug 1 18:17:34 2026 error -1 reading relation 102456658
  27. Sat Aug 1 18:18:02 2026 error -1 reading relation 128747559
  28. Sat Aug 1 18:18:15 2026 error -5 reading relation 140204257
  29. Sat Aug 1 18:18:24 2026 error -1 reading relation 150764699
  30. Sat Aug 1 18:18:43 2026 error -1 reading relation 167169882
  31. Sat Aug 1 18:18:57 2026 error -1 reading relation 182172301
  32. Sat Aug 1 18:19:02 2026 error -1 reading relation 186529895
  33. Sat Aug 1 18:19:06 2026 error -1 reading relation 190060378
  34. Sat Aug 1 18:19:07 2026 error -1 reading relation 190903892
  35. Sat Aug 1 18:19:10 2026 error -1 reading relation 193789940
  36. Sat Aug 1 18:19:27 2026 error -1 reading relation 209474428
  37. Sat Aug 1 18:19:36 2026 error -1 reading relation 218015097
  38. Sat Aug 1 18:20:00 2026 error -1 reading relation 241356033
  39. Sat Aug 1 18:20:02 2026 error -1 reading relation 242696837
  40. Sat Aug 1 18:20:04 2026 error -1 reading relation 244977072
  41. Sat Aug 1 18:20:06 2026 error -1 reading relation 246509313
  42. Sat Aug 1 18:20:06 2026 error -1 reading relation 246780232
  43. Sat Aug 1 18:20:12 2026 error -1 reading relation 251566948
  44. Sat Aug 1 18:20:13 2026 error -1 reading relation 253159934
  45. Sat Aug 1 18:20:14 2026 error -1 reading relation 253746195
  46. Sat Aug 1 18:20:17 2026 error -1 reading relation 256103399
  47. Sat Aug 1 18:20:20 2026 error -1 reading relation 261065140
  48. Sat Aug 1 18:20:24 2026 error -1 reading relation 264701524
  49. Sat Aug 1 18:20:29 2026 error -1 reading relation 269115555
  50. Sat Aug 1 18:20:53 2026 error -1 reading relation 293738425
  51. Sat Aug 1 18:20:53 2026 error -1 reading relation 294361523
  52. Sat Aug 1 18:21:03 2026 error -1 reading relation 302979303
  53. Sat Aug 1 18:21:03 2026 error -1 reading relation 303171779
  54. Sat Aug 1 18:21:04 2026 error -1 reading relation 303623993
  55. Sat Aug 1 18:21:09 2026 error -1 reading relation 307899786
  56. Sat Aug 1 18:21:14 2026 error -1 reading relation 312558316
  57. Sat Aug 1 18:21:15 2026 error -1 reading relation 316050276
  58. Sat Aug 1 18:21:23 2026 error -1 reading relation 322766750
  59. Sat Aug 1 18:21:24 2026 error -1 reading relation 323847201
  60. Sat Aug 1 18:21:30 2026 error -1 reading relation 328553042
  61. Sat Aug 1 18:21:30 2026 error -1 reading relation 328698781
  62. Sat Aug 1 18:21:33 2026 error -1 reading relation 330546291
  63. Sat Aug 1 18:21:34 2026 error -1 reading relation 331583991
  64. Sat Aug 1 18:21:35 2026 skipped 319 malformed relations
  65. Sat Aug 1 18:21:35 2026 found 71155686 hash collisions in 332482363 relations
  66. Sat Aug 1 18:21:46 2026 added 121829 free relations
  67. Sat Aug 1 18:21:46 2026 commencing duplicate removal, pass 2
  68. Sat Aug 1 18:24:09 2026 found 75870855 duplicates and 256733337 unique relations
  69. Sat Aug 1 18:24:09 2026 memory use: 1705.5 MB
  70. Sat Aug 1 18:24:09 2026 reading ideals above 720000
  71. Sat Aug 1 18:24:09 2026 commencing singleton removal, initial pass
  72. Sat Aug 1 18:36:04 2026 memory use: 6024.0 MB
  73. Sat Aug 1 18:36:04 2026 reading all ideals from disk
  74. Sat Aug 1 18:36:09 2026 memory use: 12541.7 MB
  75. Sat Aug 1 18:36:25 2026 keeping 246406582 ideals with weight <= 200, target excess is 1344668
  76. Sat Aug 1 18:36:46 2026 commencing in-memory singleton removal
  77. Sat Aug 1 18:36:50 2026 begin with 256733337 relations and 246406582 unique ideals
  78. Sat Aug 1 18:37:18 2026 reduce to 154577977 relations and 133297652 ideals in 15 passes
  79. Sat Aug 1 18:37:18 2026 max relations containing the same ideal: 152
  80. Sat Aug 1 18:38:04 2026 removing 12664291 relations and 10664291 ideals in 2000000 cliques
  81. Sat Aug 1 18:38:07 2026 commencing in-memory singleton removal
  82. Sat Aug 1 18:38:07 2026 begin with 141913686 relations and 133297652 unique ideals
  83. Sat Aug 1 18:38:19 2026 reduce to 141092300 relations and 121798186 ideals in 9 passes
  84. Sat Aug 1 18:38:19 2026 max relations containing the same ideal: 142
  85. Sat Aug 1 18:39:00 2026 removing 9721507 relations and 7721507 ideals in 2000000 cliques
  86. Sat Aug 1 18:39:03 2026 commencing in-memory singleton removal
  87. Sat Aug 1 18:39:05 2026 begin with 131370793 relations and 121798186 unique ideals
  88. Sat Aug 1 18:39:11 2026 reduce to 130815123 relations and 113512997 ideals in 7 passes
  89. Sat Aug 1 18:39:11 2026 max relations containing the same ideal: 134
  90. Sat Aug 1 18:39:48 2026 removing 8845452 relations and 6845452 ideals in 2000000 cliques
  91. Sat Aug 1 18:39:50 2026 commencing in-memory singleton removal
  92. Sat Aug 1 18:39:52 2026 begin with 121969671 relations and 113512997 unique ideals
  93. Sat Aug 1 18:40:02 2026 reduce to 121466809 relations and 106157269 ideals in 9 passes
  94. Sat Aug 1 18:40:02 2026 max relations containing the same ideal: 127
  95. Sat Aug 1 18:40:34 2026 removing 8412564 relations and 6412564 ideals in 2000000 cliques
  96. Sat Aug 1 18:40:37 2026 commencing in-memory singleton removal
  97. Sat Aug 1 18:40:38 2026 begin with 113054245 relations and 106157269 unique ideals
  98. Sat Aug 1 18:40:47 2026 reduce to 112563536 relations and 99246364 ideals in 8 passes
  99. Sat Aug 1 18:40:47 2026 max relations containing the same ideal: 121
  100. Sat Aug 1 18:41:19 2026 removing 8166811 relations and 6166811 ideals in 2000000 cliques
  101. Sat Aug 1 18:41:21 2026 commencing in-memory singleton removal
  102. Sat Aug 1 18:41:23 2026 begin with 104396725 relations and 99246364 unique ideals
  103. Sat Aug 1 18:41:31 2026 reduce to 103900416 relations and 92575323 ideals in 8 passes
  104. Sat Aug 1 18:41:31 2026 max relations containing the same ideal: 115
  105. Sat Aug 1 18:42:01 2026 removing 8030855 relations and 6030855 ideals in 2000000 cliques
  106. Sat Aug 1 18:42:04 2026 commencing in-memory singleton removal
  107. Sat Aug 1 18:42:05 2026 begin with 95869561 relations and 92575323 unique ideals
  108. Sat Aug 1 18:42:10 2026 reduce to 95350517 relations and 86016677 ideals in 9 passes
  109. Sat Aug 1 18:42:10 2026 max relations containing the same ideal: 108
  110. Sat Aug 1 18:42:38 2026 removing 7971051 relations and 5971051 ideals in 2000000 cliques
  111. Sat Aug 1 18:42:40 2026 commencing in-memory singleton removal
  112. Sat Aug 1 18:42:41 2026 begin with 87379466 relations and 86016677 unique ideals
  113. Sat Aug 1 18:42:48 2026 reduce to 86823545 relations and 79479479 ideals in 8 passes
  114. Sat Aug 1 18:42:48 2026 max relations containing the same ideal: 101
  115. Sat Aug 1 18:43:15 2026 removing 7967580 relations and 5967580 ideals in 2000000 cliques
  116. Sat Aug 1 18:43:17 2026 commencing in-memory singleton removal
  117. Sat Aug 1 18:43:18 2026 begin with 78855965 relations and 79479479 unique ideals
  118. Sat Aug 1 18:43:24 2026 reduce to 78245390 relations and 72889134 ideals in 8 passes
  119. Sat Aug 1 18:43:24 2026 max relations containing the same ideal: 97
  120. Sat Aug 1 18:43:48 2026 removing 8020715 relations and 6020715 ideals in 2000000 cliques
  121. Sat Aug 1 18:43:50 2026 commencing in-memory singleton removal
  122. Sat Aug 1 18:43:51 2026 begin with 70224675 relations and 72889134 unique ideals
  123. Sat Aug 1 18:43:57 2026 reduce to 69536038 relations and 66164521 ideals in 8 passes
  124. Sat Aug 1 18:43:57 2026 max relations containing the same ideal: 87
  125. Sat Aug 1 18:44:20 2026 removing 7509522 relations and 5697820 ideals in 1811702 cliques
  126. Sat Aug 1 18:44:22 2026 commencing in-memory singleton removal
  127. Sat Aug 1 18:44:23 2026 begin with 62026516 relations and 66164521 unique ideals
  128. Sat Aug 1 18:44:29 2026 reduce to 61350019 relations and 59775016 ideals in 9 passes
  129. Sat Aug 1 18:44:29 2026 max relations containing the same ideal: 82
  130. Sat Aug 1 18:44:49 2026 removing 140105 relations and 124917 ideals in 15188 cliques
  131. Sat Aug 1 18:44:50 2026 commencing in-memory singleton removal
  132. Sat Aug 1 18:44:50 2026 begin with 61209914 relations and 59775016 unique ideals
  133. Sat Aug 1 18:44:53 2026 reduce to 61209736 relations and 59649921 ideals in 4 passes
  134. Sat Aug 1 18:44:53 2026 max relations containing the same ideal: 82
  135. Sat Aug 1 18:44:54 2026 trying target density 90
  136. Sat Aug 1 18:44:59 2026 relations with 0 large ideals: 5050
  137. Sat Aug 1 18:44:59 2026 relations with 1 large ideals: 21666
  138. Sat Aug 1 18:44:59 2026 relations with 2 large ideals: 321415
  139. Sat Aug 1 18:44:59 2026 relations with 3 large ideals: 2009072
  140. Sat Aug 1 18:44:59 2026 relations with 4 large ideals: 6792056
  141. Sat Aug 1 18:44:59 2026 relations with 5 large ideals: 13642117
  142. Sat Aug 1 18:44:59 2026 relations with 6 large ideals: 16990592
  143. Sat Aug 1 18:44:59 2026 relations with 7+ large ideals: 21427768
  144. Sat Aug 1 18:44:59 2026 commencing 2-way merge
  145. Sat Aug 1 18:45:30 2026 reduce to 38287915 relation sets and 36728100 unique ideals
  146. Sat Aug 1 18:45:30 2026 commencing full merge
  147. Sat Aug 1 18:53:45 2026 memory use: 4375.1 MB
  148. Sat Aug 1 18:53:49 2026 found 18938393 cycles, need 18732300
  149. Sat Aug 1 18:53:54 2026 weight of 18732300 cycles is about 1686223356 (90.02/cycle)
  150. Sat Aug 1 18:53:54 2026 distribution of cycle lengths:
  151. Sat Aug 1 18:53:54 2026 1 relations: 2027790
  152. Sat Aug 1 18:53:54 2026 2 relations: 1873947
  153. Sat Aug 1 18:53:54 2026 3 relations: 1884022
  154. Sat Aug 1 18:53:54 2026 4 relations: 1810593
  155. Sat Aug 1 18:53:54 2026 5 relations: 1705623
  156. Sat Aug 1 18:53:54 2026 6 relations: 1599411
  157. Sat Aug 1 18:53:54 2026 7 relations: 1448635
  158. Sat Aug 1 18:53:54 2026 8 relations: 1286869
  159. Sat Aug 1 18:53:54 2026 9 relations: 1111477
  160. Sat Aug 1 18:53:54 2026 10+ relations: 3983933
  161. Sat Aug 1 18:53:54 2026 heaviest cycle: 22 relations
  162. Sat Aug 1 18:53:58 2026 commencing cycle optimization
  163. Sat Aug 1 18:54:23 2026 start with 117344184 relations
  164. Sat Aug 1 18:56:51 2026 pruned 3494868 relations
  165. Sat Aug 1 18:56:52 2026 memory use: 3697.0 MB
  166. Sat Aug 1 18:56:52 2026 distribution of cycle lengths:
  167. Sat Aug 1 18:56:52 2026 1 relations: 2027790
  168. Sat Aug 1 18:56:52 2026 2 relations: 1920506
  169. Sat Aug 1 18:56:52 2026 3 relations: 1956064
  170. Sat Aug 1 18:56:52 2026 4 relations: 1864937
  171. Sat Aug 1 18:56:52 2026 5 relations: 1764057
  172. Sat Aug 1 18:56:52 2026 6 relations: 1641619
  173. Sat Aug 1 18:56:52 2026 7 relations: 1484651
  174. Sat Aug 1 18:56:52 2026 8 relations: 1305057
  175. Sat Aug 1 18:56:52 2026 9 relations: 1115863
  176. Sat Aug 1 18:56:52 2026 10+ relations: 3651756
  177. Sat Aug 1 18:56:52 2026 heaviest cycle: 22 relations
  178. Sat Aug 1 18:57:17 2026 trying target density 110
  179. Sat Aug 1 18:57:22 2026 relations with 0 large ideals: 5050
  180. Sat Aug 1 18:57:22 2026 relations with 1 large ideals: 21666
  181. Sat Aug 1 18:57:22 2026 relations with 2 large ideals: 321415
  182. Sat Aug 1 18:57:22 2026 relations with 3 large ideals: 2009072
  183. Sat Aug 1 18:57:22 2026 relations with 4 large ideals: 6792056
  184. Sat Aug 1 18:57:22 2026 relations with 5 large ideals: 13642117
  185. Sat Aug 1 18:57:22 2026 relations with 6 large ideals: 16990592
  186. Sat Aug 1 18:57:22 2026 relations with 7+ large ideals: 21427768
  187. Sat Aug 1 18:57:22 2026 commencing 2-way merge
  188. Sat Aug 1 18:57:48 2026 reduce to 38287915 relation sets and 36728100 unique ideals
  189. Sat Aug 1 18:57:48 2026 commencing full merge
  190. Sat Aug 1 19:07:33 2026 memory use: 4492.0 MB
  191. Sat Aug 1 19:07:34 2026 found 17640931 cycles, need 17486300
  192. Sat Aug 1 19:07:39 2026 weight of 17486300 cycles is about 1923880351 (110.02/cycle)
  193. Sat Aug 1 19:07:39 2026 distribution of cycle lengths:
  194. Sat Aug 1 19:07:39 2026 1 relations: 1405887
  195. Sat Aug 1 19:07:39 2026 2 relations: 1437599
  196. Sat Aug 1 19:07:39 2026 3 relations: 1467899
  197. Sat Aug 1 19:07:39 2026 4 relations: 1414465
  198. Sat Aug 1 19:07:39 2026 5 relations: 1376389
  199. Sat Aug 1 19:07:39 2026 6 relations: 1319662
  200. Sat Aug 1 19:07:39 2026 7 relations: 1253775
  201. Sat Aug 1 19:07:39 2026 8 relations: 1169947
  202. Sat Aug 1 19:07:39 2026 9 relations: 1065469
  203. Sat Aug 1 19:07:39 2026 10+ relations: 5575208
  204. Sat Aug 1 19:07:39 2026 heaviest cycle: 27 relations
  205. Sat Aug 1 19:07:42 2026 commencing cycle optimization
  206. Sat Aug 1 19:08:10 2026 start with 133470922 relations
  207. Sat Aug 1 19:11:30 2026 pruned 4946665 relations
  208. Sat Aug 1 19:11:32 2026 memory use: 3868.0 MB
  209. Sat Aug 1 19:11:32 2026 distribution of cycle lengths:
  210. Sat Aug 1 19:11:32 2026 1 relations: 1405887
  211. Sat Aug 1 19:11:32 2026 2 relations: 1474769
  212. Sat Aug 1 19:11:32 2026 3 relations: 1527538
  213. Sat Aug 1 19:11:32 2026 4 relations: 1464745
  214. Sat Aug 1 19:11:32 2026 5 relations: 1432877
  215. Sat Aug 1 19:11:32 2026 6 relations: 1367836
  216. Sat Aug 1 19:11:32 2026 7 relations: 1301504
  217. Sat Aug 1 19:11:32 2026 8 relations: 1205074
  218. Sat Aug 1 19:11:32 2026 9 relations: 1094920
  219. Sat Aug 1 19:11:32 2026 10+ relations: 5211150
  220. Sat Aug 1 19:11:32 2026 heaviest cycle: 26 relations
  221. Sat Aug 1 19:12:01 2026 trying target density 130
  222. Sat Aug 1 19:12:03 2026 relations with 0 large ideals: 5050
  223. Sat Aug 1 19:12:03 2026 relations with 1 large ideals: 21666
  224. Sat Aug 1 19:12:03 2026 relations with 2 large ideals: 321415
  225. Sat Aug 1 19:12:03 2026 relations with 3 large ideals: 2009072
  226. Sat Aug 1 19:12:03 2026 relations with 4 large ideals: 6792056
  227. Sat Aug 1 19:12:03 2026 relations with 5 large ideals: 13642117
  228. Sat Aug 1 19:12:03 2026 relations with 6 large ideals: 16990592
  229. Sat Aug 1 19:12:03 2026 relations with 7+ large ideals: 21427768
  230. Sat Aug 1 19:12:03 2026 commencing 2-way merge
  231. Sat Aug 1 19:12:31 2026 reduce to 38287915 relation sets and 36728100 unique ideals
  232. Sat Aug 1 19:12:31 2026 commencing full merge
  233. Sat Aug 1 19:23:51 2026 memory use: 4555.4 MB
  234. Sat Aug 1 19:23:56 2026 found 16589170 cycles, need 16574300
  235. Sat Aug 1 19:23:59 2026 weight of 16574300 cycles is about 2155222950 (130.03/cycle)
  236. Sat Aug 1 19:23:59 2026 distribution of cycle lengths:
  237. Sat Aug 1 19:23:59 2026 1 relations: 1007875
  238. Sat Aug 1 19:23:59 2026 2 relations: 1143640
  239. Sat Aug 1 19:23:59 2026 3 relations: 1193160
  240. Sat Aug 1 19:23:59 2026 4 relations: 1160757
  241. Sat Aug 1 19:23:59 2026 5 relations: 1148646
  242. Sat Aug 1 19:23:59 2026 6 relations: 1106157
  243. Sat Aug 1 19:23:59 2026 7 relations: 1083309
  244. Sat Aug 1 19:23:59 2026 8 relations: 1021753
  245. Sat Aug 1 19:23:59 2026 9 relations: 970225
  246. Sat Aug 1 19:23:59 2026 10+ relations: 6738778
  247. Sat Aug 1 19:23:59 2026 heaviest cycle: 28 relations
  248. Sat Aug 1 19:24:01 2026 commencing cycle optimization
  249. Sat Aug 1 19:24:31 2026 start with 148914836 relations
  250. Sat Aug 1 19:28:54 2026 pruned 6441221 relations
  251. Sat Aug 1 19:28:54 2026 memory use: 4026.8 MB
  252. Sat Aug 1 19:28:54 2026 distribution of cycle lengths:
  253. Sat Aug 1 19:28:54 2026 1 relations: 1007875
  254. Sat Aug 1 19:28:54 2026 2 relations: 1173960
  255. Sat Aug 1 19:28:54 2026 3 relations: 1242971
  256. Sat Aug 1 19:28:54 2026 4 relations: 1205987
  257. Sat Aug 1 19:28:54 2026 5 relations: 1200198
  258. Sat Aug 1 19:28:54 2026 6 relations: 1153497
  259. Sat Aug 1 19:28:54 2026 7 relations: 1131732
  260. Sat Aug 1 19:28:54 2026 8 relations: 1064681
  261. Sat Aug 1 19:28:54 2026 9 relations: 1009899
  262. Sat Aug 1 19:28:54 2026 10+ relations: 6383500
  263. Sat Aug 1 19:28:54 2026 heaviest cycle: 28 relations
  264. Sat Aug 1 19:29:21 2026 RelProcTime: 4416
  265. Sat Aug 1 19:29:21 2026
  266. Sat Aug 1 19:29:21 2026 commencing linear algebra
  267. Sat Aug 1 19:29:21 2026 using VBITS=256
  268. Sat Aug 1 19:29:21 2026 building matrices for all densities
  269. Sat Aug 1 19:29:21 2026 found 3 density files
  270. Sat Aug 1 19:29:21 2026 building matrix for density 90
  271. Sat Aug 1 19:29:27 2026 read 18732300 cycles
  272. Sat Aug 1 19:29:54 2026 cycles contain 60144871 unique relations
  273. Sat Aug 1 19:31:31 2026 read 60144871 relations
  274. Sat Aug 1 19:31:46 2026 using 20 quadratic characters above 4294917295
  275. Sat Aug 1 19:32:05 2026 building initial matrix
  276. Sat Aug 1 19:39:43 2026 memory use: 8342.8 MB
  277. Sat Aug 1 19:39:49 2026 read 18732300 cycles
  278. Sat Aug 1 19:39:51 2026 matrix is 18732119 x 18732300 (6991.2 MB) with weight 2171248217 (115.91/col)
  279. Sat Aug 1 19:39:51 2026 sparse part has weight 1607908091 (85.84/col)
  280. Sat Aug 1 19:42:05 2026 filtering completed in 2 passes
  281. Sat Aug 1 19:42:08 2026 matrix is 18726013 x 18726191 (6990.6 MB) with weight 2170988269 (115.93/col)
  282. Sat Aug 1 19:42:08 2026 sparse part has weight 1607836177 (85.86/col)
  283. Sat Aug 1 19:42:35 2026 building matrix for density 110
  284. Sat Aug 1 19:42:36 2026 read 17486300 cycles
  285. Sat Aug 1 19:42:57 2026 cycles contain 60160523 unique relations
  286. Sat Aug 1 19:44:07 2026 read 60160523 relations
  287. Sat Aug 1 19:44:24 2026 using 20 quadratic characters above 4294917295
  288. Sat Aug 1 19:44:43 2026 building initial matrix
  289. Sat Aug 1 19:53:15 2026 memory use: 8362.6 MB
  290. Sat Aug 1 19:53:17 2026 read 17486300 cycles
  291. Sat Aug 1 19:53:19 2026 matrix is 17486121 x 17486300 (7697.9 MB) with weight 2368821758 (135.47/col)
  292. Sat Aug 1 19:53:19 2026 sparse part has weight 1808122505 (103.40/col)
  293. Sat Aug 1 19:55:43 2026 filtering completed in 2 passes
  294. Sat Aug 1 19:55:47 2026 matrix is 17483544 x 17483721 (7697.6 MB) with weight 2368692670 (135.48/col)
  295. Sat Aug 1 19:55:47 2026 sparse part has weight 1808081691 (103.42/col)
  296. Sat Aug 1 19:56:14 2026 building matrix for density 130
  297. Sat Aug 1 19:56:15 2026 read 16574300 cycles
  298. Sat Aug 1 19:56:39 2026 cycles contain 60160312 unique relations
  299. Sat Aug 1 19:57:49 2026 read 60160312 relations
  300. Sat Aug 1 19:58:08 2026 using 20 quadratic characters above 4294917295
  301. Sat Aug 1 19:58:27 2026 building initial matrix
  302. Sat Aug 1 20:07:42 2026 memory use: 8388.1 MB
  303. Sat Aug 1 20:07:48 2026 read 16574300 cycles
  304. Sat Aug 1 20:07:50 2026 matrix is 16574122 x 16574300 (8385.2 MB) with weight 2558463787 (154.36/col)
  305. Sat Aug 1 20:07:50 2026 sparse part has weight 1999237783 (120.62/col)
  306. Sat Aug 1 20:09:55 2026 filtering completed in 2 passes
  307. Sat Aug 1 20:09:58 2026 matrix is 16573858 x 16574034 (8385.2 MB) with weight 2558450357 (154.36/col)
  308. Sat Aug 1 20:09:58 2026 sparse part has weight 1999234028 (120.62/col)
  309. Sat Aug 1 20:10:29 2026 BLanczosTime: 2468
  310. Sat Aug 1 20:10:29 2026 elapsed time 01:54:44
  311. Sun Aug 2 01:01:00 2026
  312. Sun Aug 2 01:01:00 2026
  313. Sun Aug 2 01:01:00 2026 Msieve v. 1.54 (SVN unknown)
  314. Sun Aug 2 01:01:00 2026 random seeds: 44a61870 827dd107
  315. Sun Aug 2 01:01:00 2026 Using 8 OpenMP threads
  316. Sun Aug 2 01:01:00 2026 factoring 83875921785994722881288561130983264514578840968798457081814580936598346910466899812952876824197276831279795239786655462142517538921769695523227733739590565121095888851062285574479887 (182 digits)
  317. Sun Aug 2 01:01:01 2026 no P-1/P+1/ECM available, skipping
  318. Sun Aug 2 01:01:01 2026 commencing number field sieve (182-digit input)
  319. Sun Aug 2 01:01:01 2026 R0: -265984970972912654872778824060170574
  320. Sun Aug 2 01:01:01 2026 R1: 14316424114512749345503
  321. Sun Aug 2 01:01:01 2026 A0: 156329236717274573848554613319313041213117160
  322. Sun Aug 2 01:01:01 2026 A1: -17512574080635702649883095389853997647
  323. Sun Aug 2 01:01:01 2026 A2: -1541044871803146753716327744600
  324. Sun Aug 2 01:01:01 2026 A3: 7000147004914673222237
  325. Sun Aug 2 01:01:01 2026 A4: 60723258091890
  326. Sun Aug 2 01:01:01 2026 A5: 126000
  327. Sun Aug 2 01:01:01 2026 skew 117345328.33, size 1.062e-17, alpha -8.733, combined = 7.470e-14 rroots = 3
  328. Sun Aug 2 01:01:01 2026
  329. Sun Aug 2 01:01:01 2026 commencing linear algebra
  330. Sun Aug 2 01:01:01 2026 using VBITS=256
  331. Sun Aug 2 01:01:01 2026 skipping matrix build
  332. Sun Aug 2 01:01:06 2026 matrix starts at (0, 0)
  333. Sun Aug 2 01:01:08 2026 matrix is 16573858 x 16574034 (8385.2 MB) with weight 2558450357 (154.36/col)
  334. Sun Aug 2 01:01:08 2026 sparse part has weight 1999234028 (120.62/col)
  335. Sun Aug 2 01:01:08 2026 saving the first 240 matrix rows for later
  336. Sun Aug 2 01:01:11 2026 matrix includes 256 packed rows
  337. Sun Aug 2 01:01:16 2026 matrix is 16573618 x 16574034 (7600.2 MB) with weight 1836070833 (110.78/col)
  338. Sun Aug 2 01:01:16 2026 sparse part has weight 1727167891 (104.21/col)
  339. Sun Aug 2 01:01:16 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  340. Sun Aug 2 01:01:16 2026 selected card has CUDA arch 12.0
  341. Sun Aug 2 01:01:17 2026 computed block_nnz 163907000 (L2 cache 100663296 bytes, average column weight 104.2)
  342. Sun Aug 2 01:01:17 2026 nonzeros per matrix block: 256000000
  343. Sun Aug 2 01:03:17 2026 commencing Lanczos iteration
  344. Sun Aug 2 01:03:19 2026 memory use: 18108.8 MB
  345. Sun Aug 2 01:03:33 2026 linear algebra at 0.2%, ETA 2h 6m
  346. Sun Aug 2 01:03:54 2026 checking every 130000 dimensions, checkpointing every 7930000 dimensions
  347. Sun Aug 2 03:08:26 2026 lanczos halted after 64936 iterations (dim = 16573618)
  348. Sun Aug 2 03:09:10 2026 recovered 32 nontrivial dependencies
  349. Sun Aug 2 03:09:11 2026 BLanczosTime: 7690
  350. Sun Aug 2 03:09:11 2026 elapsed time 02:08:11
  351. Sat Aug 1 23:30:43 2026
  352. Sat Aug 1 23:30:43 2026
  353. Sat Aug 1 23:30:43 2026 Msieve v. 1.54 (SVN unknown)
  354. Sat Aug 1 23:30:43 2026 random seeds: 85aaf14c d6cb4ff4
  355. Sat Aug 1 23:30:43 2026 Using 14 OpenMP threads
  356. Sat Aug 1 23:30:43 2026 factoring 83875921785994722881288561130983264514578840968798457081814580936598346910466899812952876824197276831279795239786655462142517538921769695523227733739590565121095888851062285574479887 (182 digits)
  357. Sat Aug 1 23:30:43 2026 no P-1/P+1/ECM available, skipping
  358. Sat Aug 1 23:30:43 2026 commencing number field sieve (182-digit input)
  359. Sat Aug 1 23:30:43 2026 R0: -265984970972912654872778824060170574
  360. Sat Aug 1 23:30:43 2026 R1: 14316424114512749345503
  361. Sat Aug 1 23:30:43 2026 A0: 156329236717274573848554613319313041213117160
  362. Sat Aug 1 23:30:43 2026 A1: -17512574080635702649883095389853997647
  363. Sat Aug 1 23:30:43 2026 A2: -1541044871803146753716327744600
  364. Sat Aug 1 23:30:43 2026 A3: 7000147004914673222237
  365. Sat Aug 1 23:30:43 2026 A4: 60723258091890
  366. Sat Aug 1 23:30:43 2026 A5: 126000
  367. Sat Aug 1 23:30:43 2026 skew 117345328.33, size 1.062e-17, alpha -8.733, combined = 7.470e-14 rroots = 3
  368. Sat Aug 1 23:30:43 2026
  369. Sat Aug 1 23:30:43 2026 commencing square root phase
  370. Sat Aug 1 23:30:43 2026 reading relations for dependency 1
  371. Sat Aug 1 23:30:53 2026 read 8287949 cycles
  372. Sat Aug 1 23:31:09 2026 cycles contain 30083162 unique relations
  373. Sat Aug 1 23:33:19 2026 read 30083162 relations
  374. Sat Aug 1 23:34:51 2026 multiplying 30083162 relations
  375. Sat Aug 1 23:37:50 2026 multiply complete, coefficients have about 1728.35 million bits
  376. Sat Aug 1 23:37:53 2026 initial square root is modulo 56609419
  377. Sat Aug 1 23:44:16 2026 GCD is 1, no factor found
  378. Sat Aug 1 23:44:16 2026 reading relations for dependency 2
  379. Sat Aug 1 23:44:19 2026 read 8288122 cycles
  380. Sat Aug 1 23:44:30 2026 cycles contain 30075502 unique relations
  381. Sat Aug 1 23:45:51 2026 read 30075502 relations
  382. Sat Aug 1 23:47:21 2026 multiplying 30075502 relations
  383. Sat Aug 1 23:50:23 2026 multiply complete, coefficients have about 1727.90 million bits
  384. Sat Aug 1 23:50:26 2026 initial square root is modulo 56346863
  385. Sat Aug 1 23:56:47 2026 sqrtTime: 1564
  386. Sat Aug 1 23:56:47 2026 p67 factor: 5309304002417326685822320247604274413827719754061306302437558076299
  387. Sat Aug 1 23:56:47 2026 p116 factor: 15797912823941896457931051668675387791969126950322517197593892289297595728335285764506997158296963454659191026112013
  388. Sat Aug 1 23:56:47 2026 elapsed time 00:26:04
  389.  
Tags: math
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