kyleaskine

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Jul 30th, 2026
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  1. Wed Jul 29 12:30:20 2026
  2. Wed Jul 29 12:30:20 2026
  3. Wed Jul 29 12:30:20 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Jul 29 12:30:20 2026 random seeds: d5242b9a 6a7b6027
  5. Wed Jul 29 12:30:20 2026 Using 8 OpenMP threads
  6. Wed Jul 29 12:30:20 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits)
  7. Wed Jul 29 12:30:20 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jul 29 12:30:20 2026 commencing number field sieve (179-digit input)
  9. Wed Jul 29 12:30:20 2026 R0: -56346704773036900922268457792672774
  10. Wed Jul 29 12:30:20 2026 R1: 3562695461419853653507
  11. Wed Jul 29 12:30:20 2026 A0: 328053536041277943747895047973599314063400
  12. Wed Jul 29 12:30:20 2026 A1: -38510305359595236724095798636157247
  13. Wed Jul 29 12:30:20 2026 A2: -15856547181864556674511994166
  14. Wed Jul 29 12:30:20 2026 A3: 868456899377863161377
  15. Wed Jul 29 12:30:20 2026 A4: 54078258951276
  16. Wed Jul 29 12:30:20 2026 A5: 453600
  17. Wed Jul 29 12:30:20 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5
  18. Wed Jul 29 12:30:20 2026
  19. Wed Jul 29 12:30:20 2026 commencing relation filtering
  20. Wed Jul 29 12:30:20 2026 setting 3 target densities:Wed Jul 29 12:30:20 2026 90Wed Jul 29 12:30:20 2026 110Wed Jul 29 12:30:20 2026 130Wed Jul 29 12:30:20 2026
  21. Wed Jul 29 12:30:20 2026 estimated available RAM is 78540.1 MB
  22. Wed Jul 29 12:30:20 2026 commencing duplicate removal, pass 1
  23. Wed Jul 29 12:30:36 2026 error -1 reading relation 3866620
  24. Wed Jul 29 12:30:40 2026 error -1 reading relation 5331604
  25. Wed Jul 29 12:30:47 2026 error -1 reading relation 7207165
  26. Wed Jul 29 12:31:42 2026 error -1 reading relation 22197904
  27. Wed Jul 29 12:31:42 2026 error -1 reading relation 22201799
  28. Wed Jul 29 12:31:44 2026 error -1 reading relation 22552144
  29. Wed Jul 29 12:31:44 2026 error -1 reading relation 22559897
  30. Wed Jul 29 12:31:44 2026 error -1 reading relation 22759821
  31. Wed Jul 29 12:31:44 2026 error -1 reading relation 22763797
  32. Wed Jul 29 12:31:48 2026 error -1 reading relation 23750263
  33. Wed Jul 29 12:32:48 2026 error -1 reading relation 41575298
  34. Wed Jul 29 12:32:49 2026 error -1 reading relation 41817156
  35. Wed Jul 29 12:32:54 2026 error -1 reading relation 43122329
  36. Wed Jul 29 12:34:28 2026 error -1 reading relation 70933336
  37. Wed Jul 29 12:34:28 2026 error -1 reading relation 71073247
  38. Wed Jul 29 12:35:35 2026 error -1 reading relation 90196313
  39. Wed Jul 29 12:37:07 2026 error -1 reading relation 115187003
  40. Wed Jul 29 12:37:23 2026 error -1 reading relation 119901936
  41. Wed Jul 29 12:37:30 2026 error -1 reading relation 121343924
  42. Wed Jul 29 12:37:54 2026 error -1 reading relation 127268488
  43. Wed Jul 29 12:38:35 2026 error -1 reading relation 138354350
  44. Wed Jul 29 12:38:39 2026 error -1 reading relation 139659495
  45. Wed Jul 29 12:41:29 2026 error -1 reading relation 189117954
  46. Wed Jul 29 12:42:38 2026 error -1 reading relation 208281540
  47. Wed Jul 29 12:43:04 2026 error -1 reading relation 215569252
  48. Wed Jul 29 12:43:14 2026 error -1 reading relation 218591954
  49. Wed Jul 29 12:44:01 2026 error -1 reading relation 232179529
  50. Wed Jul 29 12:46:11 2026 error -1 reading relation 270077572
  51. Wed Jul 29 12:46:31 2026 error -1 reading relation 275815027
  52. Wed Jul 29 12:47:54 2026 error -1 reading relation 299805042
  53. Wed Jul 29 12:48:02 2026 error -1 reading relation 301985569
  54. Wed Jul 29 12:48:25 2026 error -1 reading relation 308937543
  55. Wed Jul 29 12:48:28 2026 error -1 reading relation 309788388
  56. Wed Jul 29 12:48:50 2026 error -1 reading relation 316520064
  57. Wed Jul 29 12:49:03 2026 error -1 reading relation 320147906
  58. Wed Jul 29 12:49:17 2026 error -1 reading relation 324752074
  59. Wed Jul 29 12:49:22 2026 error -1 reading relation 326514523
  60. Wed Jul 29 12:49:22 2026 error -1 reading relation 326520634
  61. Wed Jul 29 12:49:25 2026 skipped 296 malformed relations
  62. Wed Jul 29 12:49:25 2026 found 62925626 hash collisions in 327230290 relations
  63. Wed Jul 29 12:49:42 2026 added 121697 free relations
  64. Wed Jul 29 12:49:42 2026 commencing duplicate removal, pass 2
  65. Wed Jul 29 12:53:13 2026 found 65465598 duplicates and 261886389 unique relations
  66. Wed Jul 29 12:53:13 2026 memory use: 1705.5 MB
  67. Wed Jul 29 12:53:13 2026 reading ideals above 720000
  68. Wed Jul 29 12:53:13 2026 commencing singleton removal, initial pass
  69. Wed Jul 29 13:25:17 2026 memory use: 6024.0 MB
  70. Wed Jul 29 13:25:18 2026 reading all ideals from disk
  71. Wed Jul 29 13:25:56 2026 memory use: 12651.5 MB
  72. Wed Jul 29 13:26:53 2026 keeping 243658313 ideals with weight <= 200, target excess is 1376844
  73. Wed Jul 29 13:27:36 2026 commencing in-memory singleton removal
  74. Wed Jul 29 13:27:44 2026 begin with 261886389 relations and 243658313 unique ideals
  75. Wed Jul 29 13:28:39 2026 reduce to 160957016 relations and 132063870 ideals in 13 passes
  76. Wed Jul 29 13:28:39 2026 max relations containing the same ideal: 153
  77. Wed Jul 29 13:30:22 2026 removing 11758114 relations and 9758114 ideals in 2000000 cliques
  78. Wed Jul 29 13:30:26 2026 commencing in-memory singleton removal
  79. Wed Jul 29 13:30:31 2026 begin with 149198902 relations and 132063870 unique ideals
  80. Wed Jul 29 13:30:59 2026 reduce to 148552389 relations and 121649061 ideals in 9 passes
  81. Wed Jul 29 13:30:59 2026 max relations containing the same ideal: 144
  82. Wed Jul 29 13:32:42 2026 removing 8988148 relations and 6988148 ideals in 2000000 cliques
  83. Wed Jul 29 13:32:48 2026 commencing in-memory singleton removal
  84. Wed Jul 29 13:32:51 2026 begin with 139564241 relations and 121649061 unique ideals
  85. Wed Jul 29 13:33:11 2026 reduce to 139129587 relations and 114220284 ideals in 7 passes
  86. Wed Jul 29 13:33:11 2026 max relations containing the same ideal: 140
  87. Wed Jul 29 13:34:28 2026 removing 8148329 relations and 6148329 ideals in 2000000 cliques
  88. Wed Jul 29 13:34:32 2026 commencing in-memory singleton removal
  89. Wed Jul 29 13:34:35 2026 begin with 130981258 relations and 114220284 unique ideals
  90. Wed Jul 29 13:34:55 2026 reduce to 130596028 relations and 107681426 ideals in 8 passes
  91. Wed Jul 29 13:34:55 2026 max relations containing the same ideal: 134
  92. Wed Jul 29 13:36:16 2026 removing 7725232 relations and 5725232 ideals in 2000000 cliques
  93. Wed Jul 29 13:36:21 2026 commencing in-memory singleton removal
  94. Wed Jul 29 13:36:24 2026 begin with 122870796 relations and 107681426 unique ideals
  95. Wed Jul 29 13:36:40 2026 reduce to 122503932 relations and 101584151 ideals in 7 passes
  96. Wed Jul 29 13:36:40 2026 max relations containing the same ideal: 129
  97. Wed Jul 29 13:37:48 2026 removing 7465584 relations and 5465584 ideals in 2000000 cliques
  98. Wed Jul 29 13:37:52 2026 commencing in-memory singleton removal
  99. Wed Jul 29 13:37:54 2026 begin with 115038348 relations and 101584151 unique ideals
  100. Wed Jul 29 13:38:16 2026 reduce to 114674032 relations and 95748832 ideals in 9 passes
  101. Wed Jul 29 13:38:16 2026 max relations containing the same ideal: 126
  102. Wed Jul 29 13:39:24 2026 removing 7301014 relations and 5301014 ideals in 2000000 cliques
  103. Wed Jul 29 13:39:27 2026 commencing in-memory singleton removal
  104. Wed Jul 29 13:39:30 2026 begin with 107373018 relations and 95748832 unique ideals
  105. Wed Jul 29 13:39:45 2026 reduce to 107003270 relations and 90072258 ideals in 7 passes
  106. Wed Jul 29 13:39:45 2026 max relations containing the same ideal: 122
  107. Wed Jul 29 13:40:44 2026 removing 7195880 relations and 5195880 ideals in 2000000 cliques
  108. Wed Jul 29 13:40:47 2026 commencing in-memory singleton removal
  109. Wed Jul 29 13:40:50 2026 begin with 99807390 relations and 90072258 unique ideals
  110. Wed Jul 29 13:41:05 2026 reduce to 99424647 relations and 84487181 ideals in 8 passes
  111. Wed Jul 29 13:41:05 2026 max relations containing the same ideal: 120
  112. Wed Jul 29 13:41:58 2026 removing 7137516 relations and 5137516 ideals in 2000000 cliques
  113. Wed Jul 29 13:42:00 2026 commencing in-memory singleton removal
  114. Wed Jul 29 13:42:03 2026 begin with 92287131 relations and 84487181 unique ideals
  115. Wed Jul 29 13:42:15 2026 reduce to 91885727 relations and 78941103 ideals in 7 passes
  116. Wed Jul 29 13:42:15 2026 max relations containing the same ideal: 114
  117. Wed Jul 29 13:43:11 2026 removing 7113530 relations and 5113530 ideals in 2000000 cliques
  118. Wed Jul 29 13:43:14 2026 commencing in-memory singleton removal
  119. Wed Jul 29 13:43:16 2026 begin with 84772197 relations and 78941103 unique ideals
  120. Wed Jul 29 13:43:32 2026 reduce to 84340756 relations and 73388034 ideals in 9 passes
  121. Wed Jul 29 13:43:32 2026 max relations containing the same ideal: 104
  122. Wed Jul 29 13:44:25 2026 removing 7128383 relations and 5128383 ideals in 2000000 cliques
  123. Wed Jul 29 13:44:28 2026 commencing in-memory singleton removal
  124. Wed Jul 29 13:44:30 2026 begin with 77212373 relations and 73388034 unique ideals
  125. Wed Jul 29 13:44:43 2026 reduce to 76738107 relations and 67775899 ideals in 7 passes
  126. Wed Jul 29 13:44:43 2026 max relations containing the same ideal: 96
  127. Wed Jul 29 13:45:32 2026 removing 7177955 relations and 5177955 ideals in 2000000 cliques
  128. Wed Jul 29 13:45:35 2026 commencing in-memory singleton removal
  129. Wed Jul 29 13:45:37 2026 begin with 69560152 relations and 67775899 unique ideals
  130. Wed Jul 29 13:45:52 2026 reduce to 69033363 relations and 62059392 ideals in 9 passes
  131. Wed Jul 29 13:45:52 2026 max relations containing the same ideal: 90
  132. Wed Jul 29 13:46:35 2026 removing 7263236 relations and 5263236 ideals in 2000000 cliques
  133. Wed Jul 29 13:46:37 2026 commencing in-memory singleton removal
  134. Wed Jul 29 13:46:39 2026 begin with 61770127 relations and 62059392 unique ideals
  135. Wed Jul 29 13:46:51 2026 reduce to 61163787 relations and 56174899 ideals in 8 passes
  136. Wed Jul 29 13:46:51 2026 max relations containing the same ideal: 79
  137. Wed Jul 29 13:47:30 2026 removing 7392438 relations and 5392438 ideals in 2000000 cliques
  138. Wed Jul 29 13:47:33 2026 commencing in-memory singleton removal
  139. Wed Jul 29 13:47:34 2026 begin with 53771349 relations and 56174899 unique ideals
  140. Wed Jul 29 13:47:43 2026 reduce to 53051621 relations and 50042702 ideals in 8 passes
  141. Wed Jul 29 13:47:43 2026 max relations containing the same ideal: 71
  142. Wed Jul 29 13:48:19 2026 removing 5761700 relations and 4349921 ideals in 1411779 cliques
  143. Wed Jul 29 13:48:21 2026 commencing in-memory singleton removal
  144. Wed Jul 29 13:48:22 2026 begin with 47289921 relations and 50042702 unique ideals
  145. Wed Jul 29 13:48:30 2026 reduce to 46790488 relations and 45182056 ideals in 9 passes
  146. Wed Jul 29 13:48:30 2026 max relations containing the same ideal: 67
  147. Wed Jul 29 13:49:01 2026 removing 99383 relations and 88091 ideals in 11292 cliques
  148. Wed Jul 29 13:49:02 2026 commencing in-memory singleton removal
  149. Wed Jul 29 13:49:02 2026 begin with 46691105 relations and 45182056 unique ideals
  150. Wed Jul 29 13:49:07 2026 reduce to 46690941 relations and 45093801 ideals in 5 passes
  151. Wed Jul 29 13:49:07 2026 max relations containing the same ideal: 67
  152. Wed Jul 29 13:49:08 2026 trying target density 90
  153. Wed Jul 29 13:49:13 2026 relations with 0 large ideals: 5015
  154. Wed Jul 29 13:49:13 2026 relations with 1 large ideals: 29433
  155. Wed Jul 29 13:49:13 2026 relations with 2 large ideals: 401990
  156. Wed Jul 29 13:49:13 2026 relations with 3 large ideals: 2261225
  157. Wed Jul 29 13:49:13 2026 relations with 4 large ideals: 6729997
  158. Wed Jul 29 13:49:13 2026 relations with 5 large ideals: 11775378
  159. Wed Jul 29 13:49:13 2026 relations with 6 large ideals: 12673987
  160. Wed Jul 29 13:49:13 2026 relations with 7+ large ideals: 12813916
  161. Wed Jul 29 13:49:13 2026 commencing 2-way merge
  162. Wed Jul 29 13:49:54 2026 reduce to 28906867 relation sets and 27309727 unique ideals
  163. Wed Jul 29 13:49:54 2026 commencing full merge
  164. Wed Jul 29 14:02:52 2026 memory use: 3245.6 MB
  165. Wed Jul 29 14:02:58 2026 found 14325029 cycles, need 14109927
  166. Wed Jul 29 14:03:05 2026 weight of 14109927 cycles is about 1270409197 (90.04/cycle)
  167. Wed Jul 29 14:03:05 2026 distribution of cycle lengths:
  168. Wed Jul 29 14:03:05 2026 1 relations: 1456497
  169. Wed Jul 29 14:03:05 2026 2 relations: 1340671
  170. Wed Jul 29 14:03:05 2026 3 relations: 1375220
  171. Wed Jul 29 14:03:05 2026 4 relations: 1356704
  172. Wed Jul 29 14:03:05 2026 5 relations: 1312097
  173. Wed Jul 29 14:03:05 2026 6 relations: 1259067
  174. Wed Jul 29 14:03:05 2026 7 relations: 1153561
  175. Wed Jul 29 14:03:05 2026 8 relations: 1024344
  176. Wed Jul 29 14:03:05 2026 9 relations: 879118
  177. Wed Jul 29 14:03:05 2026 10+ relations: 2952648
  178. Wed Jul 29 14:03:05 2026 heaviest cycle: 21 relations
  179. Wed Jul 29 14:03:11 2026 commencing cycle optimization
  180. Wed Jul 29 14:03:51 2026 start with 88407434 relations
  181. Wed Jul 29 14:07:36 2026 pruned 2658215 relations
  182. Wed Jul 29 14:07:39 2026 memory use: 2802.0 MB
  183. Wed Jul 29 14:07:39 2026 distribution of cycle lengths:
  184. Wed Jul 29 14:07:39 2026 1 relations: 1456497
  185. Wed Jul 29 14:07:39 2026 2 relations: 1373385
  186. Wed Jul 29 14:07:39 2026 3 relations: 1426839
  187. Wed Jul 29 14:07:39 2026 4 relations: 1399476
  188. Wed Jul 29 14:07:39 2026 5 relations: 1360648
  189. Wed Jul 29 14:07:39 2026 6 relations: 1296762
  190. Wed Jul 29 14:07:39 2026 7 relations: 1187131
  191. Wed Jul 29 14:07:39 2026 8 relations: 1041837
  192. Wed Jul 29 14:07:39 2026 9 relations: 885154
  193. Wed Jul 29 14:07:39 2026 10+ relations: 2682198
  194. Wed Jul 29 14:07:39 2026 heaviest cycle: 20 relations
  195. Wed Jul 29 14:08:24 2026 trying target density 110
  196. Wed Jul 29 14:08:29 2026 relations with 0 large ideals: 5015
  197. Wed Jul 29 14:08:29 2026 relations with 1 large ideals: 29433
  198. Wed Jul 29 14:08:29 2026 relations with 2 large ideals: 401990
  199. Wed Jul 29 14:08:29 2026 relations with 3 large ideals: 2261225
  200. Wed Jul 29 14:08:29 2026 relations with 4 large ideals: 6729997
  201. Wed Jul 29 14:08:29 2026 relations with 5 large ideals: 11775378
  202. Wed Jul 29 14:08:29 2026 relations with 6 large ideals: 12673987
  203. Wed Jul 29 14:08:29 2026 relations with 7+ large ideals: 12813916
  204. Wed Jul 29 14:08:29 2026 commencing 2-way merge
  205. Wed Jul 29 14:09:05 2026 reduce to 28906867 relation sets and 27309727 unique ideals
  206. Wed Jul 29 14:09:05 2026 commencing full merge
  207. Wed Jul 29 14:23:48 2026 memory use: 3334.8 MB
  208. Wed Jul 29 14:23:55 2026 found 13360058 cycles, need 13177927
  209. Wed Jul 29 14:24:04 2026 weight of 13177927 cycles is about 1449574704 (110.00/cycle)
  210. Wed Jul 29 14:24:04 2026 distribution of cycle lengths:
  211. Wed Jul 29 14:24:04 2026 1 relations: 1043869
  212. Wed Jul 29 14:24:04 2026 2 relations: 1007953
  213. Wed Jul 29 14:24:04 2026 3 relations: 1053888
  214. Wed Jul 29 14:24:04 2026 4 relations: 1034991
  215. Wed Jul 29 14:24:04 2026 5 relations: 1036739
  216. Wed Jul 29 14:24:04 2026 6 relations: 1022488
  217. Wed Jul 29 14:24:04 2026 7 relations: 975941
  218. Wed Jul 29 14:24:04 2026 8 relations: 924046
  219. Wed Jul 29 14:24:04 2026 9 relations: 848278
  220. Wed Jul 29 14:24:04 2026 10+ relations: 4229734
  221. Wed Jul 29 14:24:04 2026 heaviest cycle: 25 relations
  222. Wed Jul 29 14:24:10 2026 commencing cycle optimization
  223. Wed Jul 29 14:24:49 2026 start with 100534860 relations
  224. Wed Jul 29 14:29:49 2026 pruned 3793731 relations
  225. Wed Jul 29 14:29:51 2026 memory use: 2927.7 MB
  226. Wed Jul 29 14:29:51 2026 distribution of cycle lengths:
  227. Wed Jul 29 14:29:51 2026 1 relations: 1043869
  228. Wed Jul 29 14:29:51 2026 2 relations: 1033874
  229. Wed Jul 29 14:29:51 2026 3 relations: 1095098
  230. Wed Jul 29 14:29:51 2026 4 relations: 1073477
  231. Wed Jul 29 14:29:51 2026 5 relations: 1082509
  232. Wed Jul 29 14:29:51 2026 6 relations: 1063090
  233. Wed Jul 29 14:29:51 2026 7 relations: 1018832
  234. Wed Jul 29 14:29:51 2026 8 relations: 956950
  235. Wed Jul 29 14:29:51 2026 9 relations: 875294
  236. Wed Jul 29 14:29:51 2026 10+ relations: 3934934
  237. Wed Jul 29 14:29:51 2026 heaviest cycle: 25 relations
  238. Wed Jul 29 14:30:33 2026 trying target density 130
  239. Wed Jul 29 14:30:38 2026 relations with 0 large ideals: 5015
  240. Wed Jul 29 14:30:38 2026 relations with 1 large ideals: 29433
  241. Wed Jul 29 14:30:38 2026 relations with 2 large ideals: 401990
  242. Wed Jul 29 14:30:38 2026 relations with 3 large ideals: 2261225
  243. Wed Jul 29 14:30:38 2026 relations with 4 large ideals: 6729997
  244. Wed Jul 29 14:30:38 2026 relations with 5 large ideals: 11775378
  245. Wed Jul 29 14:30:38 2026 relations with 6 large ideals: 12673987
  246. Wed Jul 29 14:30:38 2026 relations with 7+ large ideals: 12813916
  247. Wed Jul 29 14:30:38 2026 commencing 2-way merge
  248. Wed Jul 29 14:31:31 2026 reduce to 28906867 relation sets and 27309727 unique ideals
  249. Wed Jul 29 14:31:31 2026 commencing full merge
  250. Wed Jul 29 14:48:35 2026 memory use: 3387.7 MB
  251. Wed Jul 29 14:48:41 2026 found 12588169 cycles, need 12499927
  252. Wed Jul 29 14:48:48 2026 weight of 12499927 cycles is about 1625177326 (130.01/cycle)
  253. Wed Jul 29 14:48:48 2026 distribution of cycle lengths:
  254. Wed Jul 29 14:48:48 2026 1 relations: 761075
  255. Wed Jul 29 14:48:48 2026 2 relations: 796126
  256. Wed Jul 29 14:48:48 2026 3 relations: 841684
  257. Wed Jul 29 14:48:48 2026 4 relations: 838633
  258. Wed Jul 29 14:48:48 2026 5 relations: 847716
  259. Wed Jul 29 14:48:48 2026 6 relations: 840893
  260. Wed Jul 29 14:48:48 2026 7 relations: 834546
  261. Wed Jul 29 14:48:48 2026 8 relations: 803992
  262. Wed Jul 29 14:48:48 2026 9 relations: 766920
  263. Wed Jul 29 14:48:48 2026 10+ relations: 5168342
  264. Wed Jul 29 14:48:48 2026 heaviest cycle: 28 relations
  265. Wed Jul 29 14:48:51 2026 commencing cycle optimization
  266. Wed Jul 29 14:49:35 2026 start with 112246051 relations
  267. Wed Jul 29 14:56:11 2026 pruned 4985235 relations
  268. Wed Jul 29 14:56:11 2026 memory use: 3046.8 MB
  269. Wed Jul 29 14:56:12 2026 distribution of cycle lengths:
  270. Wed Jul 29 14:56:12 2026 1 relations: 761075
  271. Wed Jul 29 14:56:12 2026 2 relations: 816929
  272. Wed Jul 29 14:56:12 2026 3 relations: 875831
  273. Wed Jul 29 14:56:12 2026 4 relations: 872199
  274. Wed Jul 29 14:56:12 2026 5 relations: 888191
  275. Wed Jul 29 14:56:12 2026 6 relations: 879802
  276. Wed Jul 29 14:56:12 2026 7 relations: 877335
  277. Wed Jul 29 14:56:12 2026 8 relations: 842489
  278. Wed Jul 29 14:56:12 2026 9 relations: 803088
  279. Wed Jul 29 14:56:12 2026 10+ relations: 4882988
  280. Wed Jul 29 14:56:12 2026 heaviest cycle: 28 relations
  281. Wed Jul 29 14:56:56 2026 RelProcTime: 8796
  282. Wed Jul 29 14:56:56 2026
  283. Wed Jul 29 14:56:56 2026 commencing linear algebra
  284. Wed Jul 29 14:56:56 2026 using VBITS=256
  285. Wed Jul 29 14:56:56 2026 building matrices for all densities
  286. Wed Jul 29 14:56:56 2026 found 3 density files
  287. Wed Jul 29 14:56:56 2026 building matrix for density 90
  288. Wed Jul 29 14:57:04 2026 read 14109927 cycles
  289. Wed Jul 29 14:57:34 2026 cycles contain 45673514 unique relations
  290. Wed Jul 29 15:07:54 2026 read 45673514 relations
  291. Wed Jul 29 15:08:16 2026 using 20 quadratic characters above 4294917295
  292. Wed Jul 29 15:08:43 2026 building initial matrix
  293. Wed Jul 29 15:21:14 2026 memory use: 6419.6 MB
  294. Wed Jul 29 15:21:26 2026 read 14109927 cycles
  295. Wed Jul 29 15:21:29 2026 matrix is 14109747 x 14109927 (5270.5 MB) with weight 1624904261 (115.16/col)
  296. Wed Jul 29 15:21:29 2026 sparse part has weight 1212317634 (85.92/col)
  297. Wed Jul 29 15:25:09 2026 filtering completed in 2 passes
  298. Wed Jul 29 15:25:12 2026 matrix is 14105188 x 14105367 (5270.1 MB) with weight 1624705098 (115.18/col)
  299. Wed Jul 29 15:25:12 2026 sparse part has weight 1212252132 (85.94/col)
  300. Wed Jul 29 15:26:01 2026 building matrix for density 110
  301. Wed Jul 29 15:26:08 2026 read 13177927 cycles
  302. Wed Jul 29 15:26:45 2026 cycles contain 45690016 unique relations
  303. Wed Jul 29 15:30:43 2026 read 45690016 relations
  304. Wed Jul 29 15:31:08 2026 using 20 quadratic characters above 4294917295
  305. Wed Jul 29 15:31:36 2026 building initial matrix
  306. Wed Jul 29 15:44:33 2026 memory use: 6403.1 MB
  307. Wed Jul 29 15:44:43 2026 read 13177927 cycles
  308. Wed Jul 29 15:44:45 2026 matrix is 13177748 x 13177927 (5799.3 MB) with weight 1771273156 (134.41/col)
  309. Wed Jul 29 15:44:45 2026 sparse part has weight 1362107263 (103.36/col)
  310. Wed Jul 29 15:48:01 2026 filtering completed in 2 passes
  311. Wed Jul 29 15:48:07 2026 matrix is 13175640 x 13175818 (5799.0 MB) with weight 1771164812 (134.43/col)
  312. Wed Jul 29 15:48:07 2026 sparse part has weight 1362066768 (103.38/col)
  313. Wed Jul 29 15:48:53 2026 building matrix for density 130
  314. Wed Jul 29 15:48:55 2026 read 12499927 cycles
  315. Wed Jul 29 15:49:37 2026 cycles contain 45691478 unique relations
  316. Wed Jul 29 15:51:44 2026 read 45691478 relations
  317. Wed Jul 29 15:52:08 2026 using 20 quadratic characters above 4294917295
  318. Wed Jul 29 15:52:34 2026 building initial matrix
  319. Wed Jul 29 16:07:37 2026 memory use: 6422.7 MB
  320. Wed Jul 29 16:07:44 2026 read 12499927 cycles
  321. Wed Jul 29 16:07:46 2026 matrix is 12499750 x 12499927 (6318.7 MB) with weight 1913726084 (153.10/col)
  322. Wed Jul 29 16:07:46 2026 sparse part has weight 1506408925 (120.51/col)
  323. Wed Jul 29 16:11:28 2026 filtering completed in 2 passes
  324. Wed Jul 29 16:11:33 2026 matrix is 12499066 x 12499241 (6318.6 MB) with weight 1913689128 (153.10/col)
  325. Wed Jul 29 16:11:33 2026 sparse part has weight 1506395373 (120.52/col)
  326. Wed Jul 29 16:12:28 2026 BLanczosTime: 4532
  327. Wed Jul 29 16:12:28 2026 elapsed time 03:42:08
  328. Wed Jul 29 22:39:20 2026
  329. Wed Jul 29 22:39:20 2026
  330. Wed Jul 29 22:39:20 2026 Msieve v. 1.54 (SVN unknown)
  331. Wed Jul 29 22:39:20 2026 random seeds: 9fa73293 9ce00e7c
  332. Wed Jul 29 22:39:20 2026 Using 8 OpenMP threads
  333. Wed Jul 29 22:39:20 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits)
  334. Wed Jul 29 22:39:20 2026 no P-1/P+1/ECM available, skipping
  335. Wed Jul 29 22:39:20 2026 commencing number field sieve (179-digit input)
  336. Wed Jul 29 22:39:20 2026 R0: -56346704773036900922268457792672774
  337. Wed Jul 29 22:39:20 2026 R1: 3562695461419853653507
  338. Wed Jul 29 22:39:20 2026 A0: 328053536041277943747895047973599314063400
  339. Wed Jul 29 22:39:20 2026 A1: -38510305359595236724095798636157247
  340. Wed Jul 29 22:39:20 2026 A2: -15856547181864556674511994166
  341. Wed Jul 29 22:39:20 2026 A3: 868456899377863161377
  342. Wed Jul 29 22:39:20 2026 A4: 54078258951276
  343. Wed Jul 29 22:39:20 2026 A5: 453600
  344. Wed Jul 29 22:39:20 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5
  345. Wed Jul 29 22:39:20 2026
  346. Wed Jul 29 22:39:20 2026 commencing linear algebra
  347. Wed Jul 29 22:39:20 2026 using VBITS=256
  348. Wed Jul 29 22:39:20 2026 skipping matrix build
  349. Wed Jul 29 22:39:24 2026 matrix starts at (0, 0)
  350. Wed Jul 29 22:39:25 2026 matrix is 12499066 x 12499241 (6318.6 MB) with weight 1913689128 (153.10/col)
  351. Wed Jul 29 22:39:25 2026 sparse part has weight 1506395373 (120.52/col)
  352. Wed Jul 29 22:39:25 2026 saving the first 240 matrix rows for later
  353. Wed Jul 29 22:39:28 2026 matrix includes 256 packed rows
  354. Wed Jul 29 22:39:31 2026 matrix is 12498826 x 12499241 (5702.6 MB) with weight 1380135301 (110.42/col)
  355. Wed Jul 29 22:39:31 2026 sparse part has weight 1294902890 (103.60/col)
  356. Wed Jul 29 22:39:31 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  357. Wed Jul 29 22:39:31 2026 selected card has CUDA arch 12.0
  358. Wed Jul 29 22:39:32 2026 computed block_nnz 162946385 (L2 cache 100663296 bytes, average column weight 103.6)
  359. Wed Jul 29 22:39:32 2026 nonzeros per matrix block: 162946385
  360. Wed Jul 29 22:41:07 2026 commencing Lanczos iteration
  361. Wed Jul 29 22:41:08 2026 memory use: 13741.5 MB
  362. Wed Jul 29 22:41:20 2026 linear algebra at 0.2%, ETA 1h14m
  363. Wed Jul 29 22:41:36 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions
  364. Wed Jul 29 23:53:29 2026 lanczos halted after 48970 iterations (dim = 12498826)
  365. Wed Jul 29 23:54:02 2026 recovered 32 nontrivial dependencies
  366. Wed Jul 29 23:54:03 2026 BLanczosTime: 4483
  367. Wed Jul 29 23:54:03 2026 elapsed time 01:14:43
  368. Wed Jul 29 20:20:43 2026
  369. Wed Jul 29 20:20:43 2026
  370. Wed Jul 29 20:20:43 2026 Msieve v. 1.54 (SVN unknown)
  371. Wed Jul 29 20:20:43 2026 random seeds: 173bd3b3 625b6fd1
  372. Wed Jul 29 20:20:43 2026 Using 8 OpenMP threads
  373. Wed Jul 29 20:20:43 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits)
  374. Wed Jul 29 20:20:44 2026 no P-1/P+1/ECM available, skipping
  375. Wed Jul 29 20:20:44 2026 commencing number field sieve (179-digit input)
  376. Wed Jul 29 20:20:44 2026 R0: -56346704773036900922268457792672774
  377. Wed Jul 29 20:20:44 2026 R1: 3562695461419853653507
  378. Wed Jul 29 20:20:44 2026 A0: 328053536041277943747895047973599314063400
  379. Wed Jul 29 20:20:44 2026 A1: -38510305359595236724095798636157247
  380. Wed Jul 29 20:20:44 2026 A2: -15856547181864556674511994166
  381. Wed Jul 29 20:20:44 2026 A3: 868456899377863161377
  382. Wed Jul 29 20:20:44 2026 A4: 54078258951276
  383. Wed Jul 29 20:20:44 2026 A5: 453600
  384. Wed Jul 29 20:20:44 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5
  385. Wed Jul 29 20:20:44 2026
  386. Wed Jul 29 20:20:44 2026 commencing square root phase
  387. Wed Jul 29 20:20:44 2026 reading relations for dependency 1
  388. Wed Jul 29 20:20:46 2026 read 6249461 cycles
  389. Wed Jul 29 20:21:00 2026 cycles contain 22844326 unique relations
  390. Wed Jul 29 20:27:06 2026 read 22844326 relations
  391. Wed Jul 29 20:29:27 2026 multiplying 22844326 relations
  392. Wed Jul 29 20:33:47 2026 multiply complete, coefficients have about 1330.25 million bits
  393. Wed Jul 29 20:33:53 2026 initial square root is modulo 927301
  394. Wed Jul 29 20:43:58 2026 sqrtTime: 1394
  395. Wed Jul 29 20:43:58 2026 p64 factor: 3166950765330467624292138505268865763089149379667615126247899427
  396. Wed Jul 29 20:43:58 2026 p116 factor: 13558959785961580112524113795028525045441701210630994262800523902295932366458968952383767402281276792799590040947839
  397. Wed Jul 29 20:43:58 2026 elapsed time 00:23:15
  398.  
Tags: math
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