kyleaskine

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Jul 11th, 2026
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  1. Fri Jul 10 18:03:35 2026
  2. Fri Jul 10 18:03:35 2026
  3. Fri Jul 10 18:03:35 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Jul 10 18:03:35 2026 random seeds: 1c527c5e b6dcf3c5
  5. Fri Jul 10 18:03:35 2026 Using 14 OpenMP threads
  6. Fri Jul 10 18:03:35 2026 factoring 90207955994072096238192429905688647095596973973135178320395703799407445882540854228824668053902754072228848219191844300235829562519302577228649080227885588075535272860534837 (173 digits)
  7. Fri Jul 10 18:03:35 2026 no P-1/P+1/ECM available, skipping
  8. Fri Jul 10 18:03:35 2026 commencing number field sieve (173-digit input)
  9. Fri Jul 10 18:03:35 2026 R0: -4551066480815559393108398364556339
  10. Fri Jul 10 18:03:35 2026 R1: 3502362382007932263001
  11. Fri Jul 10 18:03:35 2026 A0: 31885613419540928239798158131147633747760
  12. Fri Jul 10 18:03:35 2026 A1: -17856338231538994869212220795176478
  13. Fri Jul 10 18:03:35 2026 A2: -1237120722615959402116036732
  14. Fri Jul 10 18:03:35 2026 A3: 288157434920091231187
  15. Fri Jul 10 18:03:35 2026 A4: 5110266501218
  16. Fri Jul 10 18:03:35 2026 A5: 46200
  17. Fri Jul 10 18:03:35 2026 skew 11883584.35, size 1.029e-16, alpha -7.357, combined = 2.974e-13 rroots = 3
  18. Fri Jul 10 18:03:35 2026
  19. Fri Jul 10 18:03:35 2026 commencing relation filtering
  20. Fri Jul 10 18:03:35 2026 setting 3 target densities:Fri Jul 10 18:03:35 2026 80Fri Jul 10 18:03:35 2026 100Fri Jul 10 18:03:35 2026 120Fri Jul 10 18:03:35 2026
  21. Fri Jul 10 18:03:35 2026 estimated available RAM is 78540.1 MB
  22. Fri Jul 10 18:03:35 2026 commencing duplicate removal, pass 1
  23. Fri Jul 10 18:03:52 2026 error -1 reading relation 22945524
  24. Fri Jul 10 18:04:02 2026 error -1 reading relation 34530850
  25. Fri Jul 10 18:04:28 2026 error -1 reading relation 65481477
  26. Fri Jul 10 18:04:30 2026 error -1 reading relation 68352086
  27. Fri Jul 10 18:04:32 2026 error -1 reading relation 72285358
  28. Fri Jul 10 18:04:33 2026 error -1 reading relation 73618129
  29. Fri Jul 10 18:04:47 2026 error -1 reading relation 93303621
  30. Fri Jul 10 18:04:48 2026 error -1 reading relation 94993593
  31. Fri Jul 10 18:04:53 2026 error -1 reading relation 101570622
  32. Fri Jul 10 18:04:59 2026 error -1 reading relation 111266464
  33. Fri Jul 10 18:05:06 2026 error -1 reading relation 122344691
  34. Fri Jul 10 18:05:11 2026 error -1 reading relation 128901466
  35. Fri Jul 10 18:05:13 2026 error -1 reading relation 132496798
  36. Fri Jul 10 18:05:18 2026 error -1 reading relation 139251470
  37. Fri Jul 10 18:05:23 2026 error -1 reading relation 145430843
  38. Fri Jul 10 18:05:27 2026 error -1 reading relation 150717577
  39. Fri Jul 10 18:05:32 2026 error -1 reading relation 157475241
  40. Fri Jul 10 18:05:54 2026 error -1 reading relation 190612748
  41. Fri Jul 10 18:05:55 2026 error -1 reading relation 190808663
  42. Fri Jul 10 18:06:03 2026 error -1 reading relation 200902659
  43. Fri Jul 10 18:06:16 2026 error -1 reading relation 216124974
  44. Fri Jul 10 18:06:18 2026 error -1 reading relation 218761170
  45. Fri Jul 10 18:06:18 2026 error -1 reading relation 219125674
  46. Fri Jul 10 18:06:17 2026 error -1 reading relation 219274843
  47. Fri Jul 10 18:06:18 2026 error -1 reading relation 221628674
  48. Fri Jul 10 18:06:40 2026 error -1 reading relation 250905568
  49. Fri Jul 10 18:06:41 2026 error -1 reading relation 252338137
  50. Fri Jul 10 18:07:12 2026 error -1 reading relation 293358469
  51. Fri Jul 10 18:07:22 2026 skipped 270 malformed relations
  52. Fri Jul 10 18:07:22 2026 found 56971166 hash collisions in 308375421 relations
  53. Fri Jul 10 18:07:35 2026 added 121824 free relations
  54. Fri Jul 10 18:07:35 2026 commencing duplicate removal, pass 2
  55. Fri Jul 10 18:09:21 2026 found 58858603 duplicates and 249638642 unique relations
  56. Fri Jul 10 18:09:21 2026 memory use: 1705.5 MB
  57. Fri Jul 10 18:09:22 2026 reading ideals above 720000
  58. Fri Jul 10 18:09:22 2026 commencing singleton removal, initial pass
  59. Fri Jul 10 18:19:39 2026 memory use: 6024.0 MB
  60. Fri Jul 10 18:19:39 2026 reading all ideals from disk
  61. Fri Jul 10 18:19:50 2026 memory use: 11744.8 MB
  62. Fri Jul 10 18:20:23 2026 keeping 239669492 ideals with weight <= 200, target excess is 1212410
  63. Fri Jul 10 18:20:41 2026 commencing in-memory singleton removal
  64. Fri Jul 10 18:20:44 2026 begin with 249638642 relations and 239669492 unique ideals
  65. Fri Jul 10 18:21:05 2026 reduce to 143588870 relations and 121326711 ideals in 16 passes
  66. Fri Jul 10 18:21:05 2026 max relations containing the same ideal: 149
  67. Fri Jul 10 18:21:41 2026 removing 12697443 relations and 10697443 ideals in 2000000 cliques
  68. Fri Jul 10 18:21:44 2026 commencing in-memory singleton removal
  69. Fri Jul 10 18:21:46 2026 begin with 130891427 relations and 121326711 unique ideals
  70. Fri Jul 10 18:21:54 2026 reduce to 129993413 relations and 109714822 ideals in 10 passes
  71. Fri Jul 10 18:21:54 2026 max relations containing the same ideal: 138
  72. Fri Jul 10 18:22:28 2026 removing 9685558 relations and 7685558 ideals in 2000000 cliques
  73. Fri Jul 10 18:22:30 2026 commencing in-memory singleton removal
  74. Fri Jul 10 18:22:32 2026 begin with 120307855 relations and 109714822 unique ideals
  75. Fri Jul 10 18:22:39 2026 reduce to 119707601 relations and 101419469 ideals in 10 passes
  76. Fri Jul 10 18:22:39 2026 max relations containing the same ideal: 130
  77. Fri Jul 10 18:23:10 2026 removing 8776361 relations and 6776361 ideals in 2000000 cliques
  78. Fri Jul 10 18:23:12 2026 commencing in-memory singleton removal
  79. Fri Jul 10 18:23:13 2026 begin with 110931240 relations and 101419469 unique ideals
  80. Fri Jul 10 18:23:17 2026 reduce to 110390106 relations and 94093347 ideals in 8 passes
  81. Fri Jul 10 18:23:17 2026 max relations containing the same ideal: 123
  82. Fri Jul 10 18:23:46 2026 removing 8321154 relations and 6321154 ideals in 2000000 cliques
  83. Fri Jul 10 18:23:48 2026 commencing in-memory singleton removal
  84. Fri Jul 10 18:23:49 2026 begin with 102068952 relations and 94093347 unique ideals
  85. Fri Jul 10 18:23:55 2026 reduce to 101543749 relations and 87238311 ideals in 9 passes
  86. Fri Jul 10 18:23:55 2026 max relations containing the same ideal: 115
  87. Fri Jul 10 18:24:38 2026 removing 8061021 relations and 6061021 ideals in 2000000 cliques
  88. Fri Jul 10 18:24:42 2026 commencing in-memory singleton removal
  89. Fri Jul 10 18:24:44 2026 begin with 93482728 relations and 87238311 unique ideals
  90. Fri Jul 10 18:24:53 2026 reduce to 92950324 relations and 80635396 ideals in 8 passes
  91. Fri Jul 10 18:24:53 2026 max relations containing the same ideal: 109
  92. Fri Jul 10 18:25:48 2026 removing 7904979 relations and 5904979 ideals in 2000000 cliques
  93. Fri Jul 10 18:25:51 2026 commencing in-memory singleton removal
  94. Fri Jul 10 18:25:53 2026 begin with 85045345 relations and 80635396 unique ideals
  95. Fri Jul 10 18:26:00 2026 reduce to 84490013 relations and 74164399 ideals in 8 passes
  96. Fri Jul 10 18:26:00 2026 max relations containing the same ideal: 104
  97. Fri Jul 10 18:26:55 2026 removing 7825315 relations and 5825315 ideals in 2000000 cliques
  98. Fri Jul 10 18:26:58 2026 commencing in-memory singleton removal
  99. Fri Jul 10 18:26:59 2026 begin with 76664698 relations and 74164399 unique ideals
  100. Fri Jul 10 18:27:07 2026 reduce to 76073803 relations and 67735817 ideals in 8 passes
  101. Fri Jul 10 18:27:07 2026 max relations containing the same ideal: 99
  102. Fri Jul 10 18:27:42 2026 removing 7797981 relations and 5797981 ideals in 2000000 cliques
  103. Fri Jul 10 18:27:44 2026 commencing in-memory singleton removal
  104. Fri Jul 10 18:27:45 2026 begin with 68275822 relations and 67735817 unique ideals
  105. Fri Jul 10 18:27:53 2026 reduce to 67626783 relations and 61273884 ideals in 9 passes
  106. Fri Jul 10 18:27:53 2026 max relations containing the same ideal: 89
  107. Fri Jul 10 18:28:25 2026 removing 7813529 relations and 5813529 ideals in 2000000 cliques
  108. Fri Jul 10 18:28:28 2026 commencing in-memory singleton removal
  109. Fri Jul 10 18:28:29 2026 begin with 59813254 relations and 61273884 unique ideals
  110. Fri Jul 10 18:28:33 2026 reduce to 59081910 relations and 54709995 ideals in 8 passes
  111. Fri Jul 10 18:28:33 2026 max relations containing the same ideal: 85
  112. Fri Jul 10 18:29:04 2026 removing 7868183 relations and 5868183 ideals in 2000000 cliques
  113. Fri Jul 10 18:29:05 2026 commencing in-memory singleton removal
  114. Fri Jul 10 18:29:06 2026 begin with 51213727 relations and 54709995 unique ideals
  115. Fri Jul 10 18:29:11 2026 reduce to 50366845 relations and 47969714 ideals in 9 passes
  116. Fri Jul 10 18:29:11 2026 max relations containing the same ideal: 75
  117. Fri Jul 10 18:29:36 2026 removing 4618466 relations and 3627731 ideals in 990735 cliques
  118. Fri Jul 10 18:29:38 2026 commencing in-memory singleton removal
  119. Fri Jul 10 18:29:39 2026 begin with 45748379 relations and 47969714 unique ideals
  120. Fri Jul 10 18:29:43 2026 reduce to 45432064 relations and 44020071 ideals in 9 passes
  121. Fri Jul 10 18:29:43 2026 max relations containing the same ideal: 71
  122. Fri Jul 10 18:30:05 2026 trying target density 80
  123. Fri Jul 10 18:30:09 2026 relations with 0 large ideals: 4502
  124. Fri Jul 10 18:30:09 2026 relations with 1 large ideals: 31096
  125. Fri Jul 10 18:30:09 2026 relations with 2 large ideals: 417167
  126. Fri Jul 10 18:30:09 2026 relations with 3 large ideals: 2304127
  127. Fri Jul 10 18:30:09 2026 relations with 4 large ideals: 6757357
  128. Fri Jul 10 18:30:09 2026 relations with 5 large ideals: 11645804
  129. Fri Jul 10 18:30:09 2026 relations with 6 large ideals: 12347508
  130. Fri Jul 10 18:30:09 2026 relations with 7+ large ideals: 11924503
  131. Fri Jul 10 18:30:09 2026 commencing 2-way merge
  132. Fri Jul 10 18:30:36 2026 reduce to 27995597 relation sets and 26583604 unique ideals
  133. Fri Jul 10 18:30:36 2026 commencing full merge
  134. Fri Jul 10 18:38:33 2026 memory use: 3166.6 MB
  135. Fri Jul 10 18:38:37 2026 found 14422939 cycles, need 14227804
  136. Fri Jul 10 18:38:41 2026 weight of 14227804 cycles is about 1138484775 (80.02/cycle)
  137. Fri Jul 10 18:38:41 2026 distribution of cycle lengths:
  138. Fri Jul 10 18:38:41 2026 1 relations: 1634961
  139. Fri Jul 10 18:38:41 2026 2 relations: 1547839
  140. Fri Jul 10 18:38:41 2026 3 relations: 1534877
  141. Fri Jul 10 18:38:41 2026 4 relations: 1436030
  142. Fri Jul 10 18:38:41 2026 5 relations: 1360553
  143. Fri Jul 10 18:38:41 2026 6 relations: 1243546
  144. Fri Jul 10 18:38:41 2026 7 relations: 1115368
  145. Fri Jul 10 18:38:41 2026 8 relations: 979918
  146. Fri Jul 10 18:38:42 2026 9 relations: 832600
  147. Fri Jul 10 18:38:42 2026 10+ relations: 2542112
  148. Fri Jul 10 18:38:42 2026 heaviest cycle: 20 relations
  149. Fri Jul 10 18:38:46 2026 commencing cycle optimization
  150. Fri Jul 10 18:39:15 2026 start with 83280223 relations
  151. Fri Jul 10 18:41:47 2026 pruned 2210308 relations
  152. Fri Jul 10 18:41:49 2026 memory use: 2701.1 MB
  153. Fri Jul 10 18:41:49 2026 distribution of cycle lengths:
  154. Fri Jul 10 18:41:49 2026 1 relations: 1634961
  155. Fri Jul 10 18:41:49 2026 2 relations: 1583012
  156. Fri Jul 10 18:41:49 2026 3 relations: 1589827
  157. Fri Jul 10 18:41:49 2026 4 relations: 1475093
  158. Fri Jul 10 18:41:49 2026 5 relations: 1400466
  159. Fri Jul 10 18:41:49 2026 6 relations: 1271404
  160. Fri Jul 10 18:41:49 2026 7 relations: 1138742
  161. Fri Jul 10 18:41:49 2026 8 relations: 989137
  162. Fri Jul 10 18:41:49 2026 9 relations: 831948
  163. Fri Jul 10 18:41:49 2026 10+ relations: 2313214
  164. Fri Jul 10 18:41:49 2026 heaviest cycle: 20 relations
  165. Fri Jul 10 18:42:21 2026 trying target density 100
  166. Fri Jul 10 18:42:26 2026 relations with 0 large ideals: 4502
  167. Fri Jul 10 18:42:26 2026 relations with 1 large ideals: 31096
  168. Fri Jul 10 18:42:26 2026 relations with 2 large ideals: 417167
  169. Fri Jul 10 18:42:26 2026 relations with 3 large ideals: 2304127
  170. Fri Jul 10 18:42:26 2026 relations with 4 large ideals: 6757357
  171. Fri Jul 10 18:42:26 2026 relations with 5 large ideals: 11645804
  172. Fri Jul 10 18:42:26 2026 relations with 6 large ideals: 12347508
  173. Fri Jul 10 18:42:26 2026 relations with 7+ large ideals: 11924503
  174. Fri Jul 10 18:42:26 2026 commencing 2-way merge
  175. Fri Jul 10 18:42:53 2026 reduce to 27995597 relation sets and 26583604 unique ideals
  176. Fri Jul 10 18:42:54 2026 commencing full merge
  177. Fri Jul 10 18:53:12 2026 memory use: 3266.0 MB
  178. Fri Jul 10 18:53:17 2026 found 13332248 cycles, need 13163804
  179. Fri Jul 10 18:53:23 2026 weight of 13163804 cycles is about 1316881728 (100.04/cycle)
  180. Fri Jul 10 18:53:23 2026 distribution of cycle lengths:
  181. Fri Jul 10 18:53:23 2026 1 relations: 1053486
  182. Fri Jul 10 18:53:23 2026 2 relations: 1143330
  183. Fri Jul 10 18:53:23 2026 3 relations: 1166653
  184. Fri Jul 10 18:53:23 2026 4 relations: 1118502
  185. Fri Jul 10 18:53:23 2026 5 relations: 1080116
  186. Fri Jul 10 18:53:23 2026 6 relations: 1019476
  187. Fri Jul 10 18:53:23 2026 7 relations: 972340
  188. Fri Jul 10 18:53:23 2026 8 relations: 896888
  189. Fri Jul 10 18:53:23 2026 9 relations: 813634
  190. Fri Jul 10 18:53:23 2026 10+ relations: 3899379
  191. Fri Jul 10 18:53:23 2026 heaviest cycle: 25 relations
  192. Fri Jul 10 18:53:28 2026 commencing cycle optimization
  193. Fri Jul 10 18:54:02 2026 start with 96102071 relations
  194. Fri Jul 10 18:57:29 2026 pruned 3277251 relations
  195. Fri Jul 10 18:57:31 2026 memory use: 2840.7 MB
  196. Fri Jul 10 18:57:31 2026 distribution of cycle lengths:
  197. Fri Jul 10 18:57:31 2026 1 relations: 1053486
  198. Fri Jul 10 18:57:31 2026 2 relations: 1171230
  199. Fri Jul 10 18:57:31 2026 3 relations: 1212798
  200. Fri Jul 10 18:57:31 2026 4 relations: 1154823
  201. Fri Jul 10 18:57:31 2026 5 relations: 1120595
  202. Fri Jul 10 18:57:31 2026 6 relations: 1053866
  203. Fri Jul 10 18:57:31 2026 7 relations: 1004923
  204. Fri Jul 10 18:57:31 2026 8 relations: 921486
  205. Fri Jul 10 18:57:31 2026 9 relations: 833009
  206. Fri Jul 10 18:57:31 2026 10+ relations: 3637588
  207. Fri Jul 10 18:57:31 2026 heaviest cycle: 25 relations
  208. Fri Jul 10 18:58:01 2026 trying target density 120
  209. Fri Jul 10 18:58:06 2026 relations with 0 large ideals: 4502
  210. Fri Jul 10 18:58:06 2026 relations with 1 large ideals: 31096
  211. Fri Jul 10 18:58:06 2026 relations with 2 large ideals: 417167
  212. Fri Jul 10 18:58:06 2026 relations with 3 large ideals: 2304127
  213. Fri Jul 10 18:58:06 2026 relations with 4 large ideals: 6757357
  214. Fri Jul 10 18:58:06 2026 relations with 5 large ideals: 11645804
  215. Fri Jul 10 18:58:06 2026 relations with 6 large ideals: 12347508
  216. Fri Jul 10 18:58:06 2026 relations with 7+ large ideals: 11924503
  217. Fri Jul 10 18:58:06 2026 commencing 2-way merge
  218. Fri Jul 10 18:58:33 2026 reduce to 27995597 relation sets and 26583604 unique ideals
  219. Fri Jul 10 18:58:33 2026 commencing full merge
  220. Fri Jul 10 19:11:30 2026 memory use: 3326.6 MB
  221. Fri Jul 10 19:11:35 2026 found 12493944 cycles, need 12411804
  222. Fri Jul 10 19:11:40 2026 weight of 12411804 cycles is about 1489460103 (120.00/cycle)
  223. Fri Jul 10 19:11:40 2026 distribution of cycle lengths:
  224. Fri Jul 10 19:11:40 2026 1 relations: 696429
  225. Fri Jul 10 19:11:40 2026 2 relations: 887878
  226. Fri Jul 10 19:11:40 2026 3 relations: 938141
  227. Fri Jul 10 19:11:40 2026 4 relations: 907394
  228. Fri Jul 10 19:11:40 2026 5 relations: 889737
  229. Fri Jul 10 19:11:40 2026 6 relations: 853543
  230. Fri Jul 10 19:11:40 2026 7 relations: 830317
  231. Fri Jul 10 19:11:40 2026 8 relations: 780586
  232. Fri Jul 10 19:11:40 2026 9 relations: 740859
  233. Fri Jul 10 19:11:40 2026 10+ relations: 4886920
  234. Fri Jul 10 19:11:40 2026 heaviest cycle: 28 relations
  235. Fri Jul 10 19:11:43 2026 commencing cycle optimization
  236. Fri Jul 10 19:12:17 2026 start with 108316829 relations
  237. Fri Jul 10 19:17:02 2026 pruned 4401734 relations
  238. Fri Jul 10 19:17:02 2026 memory use: 2968.4 MB
  239. Fri Jul 10 19:17:03 2026 distribution of cycle lengths:
  240. Fri Jul 10 19:17:03 2026 1 relations: 696429
  241. Fri Jul 10 19:17:03 2026 2 relations: 910504
  242. Fri Jul 10 19:17:03 2026 3 relations: 976783
  243. Fri Jul 10 19:17:03 2026 4 relations: 940336
  244. Fri Jul 10 19:17:03 2026 5 relations: 927687
  245. Fri Jul 10 19:17:03 2026 6 relations: 887262
  246. Fri Jul 10 19:17:03 2026 7 relations: 864408
  247. Fri Jul 10 19:17:03 2026 8 relations: 811247
  248. Fri Jul 10 19:17:03 2026 9 relations: 769717
  249. Fri Jul 10 19:17:03 2026 10+ relations: 4627431
  250. Fri Jul 10 19:17:03 2026 heaviest cycle: 28 relations
  251. Fri Jul 10 19:17:29 2026 RelProcTime: 4434
  252. Fri Jul 10 19:17:29 2026
  253. Fri Jul 10 19:17:29 2026 commencing linear algebra
  254. Fri Jul 10 19:17:29 2026 using VBITS=256
  255. Fri Jul 10 19:17:29 2026 building matrices for all densities
  256. Fri Jul 10 19:17:29 2026 found 3 density files
  257. Fri Jul 10 19:17:29 2026 building matrix for density 80
  258. Fri Jul 10 19:17:30 2026 read 14227804 cycles
  259. Fri Jul 10 19:17:51 2026 cycles contain 44452748 unique relations
  260. Fri Jul 10 19:18:57 2026 read 44452748 relations
  261. Fri Jul 10 19:19:09 2026 using 20 quadratic characters above 4294917295
  262. Fri Jul 10 19:19:28 2026 building initial matrix
  263. Fri Jul 10 19:27:17 2026 memory use: 6146.3 MB
  264. Fri Jul 10 19:27:22 2026 read 14227804 cycles
  265. Fri Jul 10 19:27:24 2026 matrix is 14227621 x 14227804 (4837.3 MB) with weight 1507920144 (105.98/col)
  266. Fri Jul 10 19:27:24 2026 sparse part has weight 1097329153 (77.13/col)
  267. Fri Jul 10 19:29:49 2026 filtering completed in 2 passes
  268. Fri Jul 10 19:29:53 2026 matrix is 14221408 x 14221591 (4836.7 MB) with weight 1507673494 (106.01/col)
  269. Fri Jul 10 19:29:53 2026 sparse part has weight 1097262309 (77.15/col)
  270. Fri Jul 10 19:30:28 2026 building matrix for density 100
  271. Fri Jul 10 19:30:29 2026 read 13163804 cycles
  272. Fri Jul 10 19:30:48 2026 cycles contain 44469121 unique relations
  273. Fri Jul 10 19:31:39 2026 read 44469121 relations
  274. Fri Jul 10 19:31:52 2026 using 20 quadratic characters above 4294917295
  275. Fri Jul 10 19:32:07 2026 building initial matrix
  276. Fri Jul 10 19:41:35 2026 memory use: 6128.6 MB
  277. Fri Jul 10 19:41:40 2026 read 13163804 cycles
  278. Fri Jul 10 19:41:40 2026 matrix is 13163624 x 13163804 (5373.8 MB) with weight 1658612957 (126.00/col)
  279. Fri Jul 10 19:41:40 2026 sparse part has weight 1250739588 (95.01/col)
  280. Fri Jul 10 19:44:17 2026 filtering completed in 2 passes
  281. Fri Jul 10 19:44:21 2026 matrix is 13160765 x 13160943 (5373.5 MB) with weight 1658476731 (126.02/col)
  282. Fri Jul 10 19:44:21 2026 sparse part has weight 1250695377 (95.03/col)
  283. Fri Jul 10 19:44:59 2026 building matrix for density 120
  284. Fri Jul 10 19:45:00 2026 read 12411804 cycles
  285. Fri Jul 10 19:45:21 2026 cycles contain 44473026 unique relations
  286. Fri Jul 10 19:46:18 2026 read 44473026 relations
  287. Fri Jul 10 19:46:32 2026 using 20 quadratic characters above 4294917295
  288. Fri Jul 10 19:46:48 2026 building initial matrix
  289. Fri Jul 10 19:57:37 2026 memory use: 6148.4 MB
  290. Fri Jul 10 19:57:43 2026 read 12411804 cycles
  291. Fri Jul 10 19:57:45 2026 matrix is 12411625 x 12411804 (5894.5 MB) with weight 1802752398 (145.24/col)
  292. Fri Jul 10 19:57:45 2026 sparse part has weight 1396276708 (112.50/col)
  293. Fri Jul 10 19:59:41 2026 filtering completed in 2 passes
  294. Fri Jul 10 19:59:45 2026 matrix is 12410769 x 12410948 (5894.4 MB) with weight 1802708917 (145.25/col)
  295. Fri Jul 10 19:59:45 2026 sparse part has weight 1396263184 (112.50/col)
  296. Fri Jul 10 20:00:38 2026 BLanczosTime: 2589
  297. Fri Jul 10 20:00:38 2026 elapsed time 01:57:03
  298. Sat Jul 11 01:16:41 2026
  299. Sat Jul 11 01:16:41 2026
  300. Sat Jul 11 01:16:41 2026 Msieve v. 1.54 (SVN unknown)
  301. Sat Jul 11 01:16:41 2026 random seeds: b153c415 fe427712
  302. Sat Jul 11 01:16:41 2026 Using 8 OpenMP threads
  303. Sat Jul 11 01:16:41 2026 factoring 90207955994072096238192429905688647095596973973135178320395703799407445882540854228824668053902754072228848219191844300235829562519302577228649080227885588075535272860534837 (173 digits)
  304. Sat Jul 11 01:16:42 2026 no P-1/P+1/ECM available, skipping
  305. Sat Jul 11 01:16:42 2026 commencing number field sieve (173-digit input)
  306. Sat Jul 11 01:16:42 2026 R0: -4551066480815559393108398364556339
  307. Sat Jul 11 01:16:42 2026 R1: 3502362382007932263001
  308. Sat Jul 11 01:16:42 2026 A0: 31885613419540928239798158131147633747760
  309. Sat Jul 11 01:16:42 2026 A1: -17856338231538994869212220795176478
  310. Sat Jul 11 01:16:42 2026 A2: -1237120722615959402116036732
  311. Sat Jul 11 01:16:42 2026 A3: 288157434920091231187
  312. Sat Jul 11 01:16:42 2026 A4: 5110266501218
  313. Sat Jul 11 01:16:42 2026 A5: 46200
  314. Sat Jul 11 01:16:42 2026 skew 11883584.35, size 1.029e-16, alpha -7.357, combined = 2.974e-13 rroots = 3
  315. Sat Jul 11 01:16:42 2026
  316. Sat Jul 11 01:16:42 2026 commencing linear algebra
  317. Sat Jul 11 01:16:42 2026 using VBITS=256
  318. Sat Jul 11 01:16:42 2026 selecting density 80 for linear algebra
  319. Sat Jul 11 01:17:00 2026 matrix starts at (0, 0)
  320. Sat Jul 11 01:17:02 2026 matrix is 14221408 x 14221591 (4836.7 MB) with weight 1507673494 (106.01/col)
  321. Sat Jul 11 01:17:02 2026 sparse part has weight 1097262309 (77.15/col)
  322. Sat Jul 11 01:17:02 2026 saving the first 240 matrix rows for later
  323. Sat Jul 11 01:17:06 2026 matrix includes 256 packed rows
  324. Sat Jul 11 01:17:09 2026 matrix is 14221168 x 14221591 (4459.2 MB) with weight 1003962140 (70.59/col)
  325. Sat Jul 11 01:17:09 2026 sparse part has weight 941413427 (66.20/col)
  326. Sat Jul 11 01:17:09 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  327. Sat Jul 11 01:17:09 2026 selected card has CUDA arch 12.0
  328. Sat Jul 11 01:17:09 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 66.2)
  329. Sat Jul 11 01:17:09 2026 nonzeros per matrix block: 256000000
  330. Sat Jul 11 01:18:31 2026 commencing Lanczos iteration
  331. Sat Jul 11 01:18:39 2026 memory use: 11088.5 MB
  332. Sat Jul 11 01:19:13 2026 linear algebra at 0.2%, ETA 4h14m
  333. Sat Jul 11 01:20:03 2026 checking every 50000 dimensions, checkpointing every 3350000 dimensions
  334. Sat Jul 11 05:33:29 2026 lanczos halted after 55719 iterations (dim = 14221166)
  335. Sat Jul 11 05:34:31 2026 recovered 29 nontrivial dependencies
  336. Sat Jul 11 05:34:31 2026 BLanczosTime: 15469
  337. Sat Jul 11 05:34:31 2026
  338. Sat Jul 11 05:34:31 2026 commencing square root phase
  339. Sat Jul 11 05:34:31 2026 handling dependencies 1 to 64
  340. Sat Jul 11 05:34:31 2026 reading relations for dependency 1
  341. Sat Jul 11 05:34:35 2026 read 7113933 cycles
  342. Sat Jul 11 05:34:48 2026 cycles contain 22233524 unique relations
  343. Sat Jul 11 05:37:50 2026 read 22233524 relations
  344. Sat Jul 11 05:39:58 2026 multiplying 22233524 relations
  345. Sat Jul 11 05:43:30 2026 multiply complete, coefficients have about 1204.61 million bits
  346. Sat Jul 11 05:43:34 2026 initial square root is modulo 253369
  347. Sat Jul 11 05:51:03 2026 sqrtTime: 992
  348. Sat Jul 11 05:51:03 2026 p70 factor: 3998270632886614952098431139939478491423347321441058542902092261955659
  349. Sat Jul 11 05:51:03 2026 p104 factor: 22561743382774724892513609480977971547565139932509314808502081249243965477582772687442540140304978268543
  350. Sat Jul 11 05:51:03 2026 elapsed time 04:34:22
  351.  
Tags: math
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