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kyleaskine
Jul 9th, 2026
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  1. Wed Jul 8 16:25:33 2026
  2. Wed Jul 8 16:25:33 2026
  3. Wed Jul 8 16:25:33 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed Jul 8 16:25:33 2026 random seeds: b659e48e 821477fb
  5. Wed Jul 8 16:25:33 2026 Using 8 OpenMP threads
  6. Wed Jul 8 16:25:33 2026 factoring 37611708161965835783679965728144567828799445065335827140410851797117669263368038475685787170840869973780095395983137820413842238131624590403138089062171343852688924311680116329 (176 digits)
  7. Wed Jul 8 16:25:34 2026 no P-1/P+1/ECM available, skipping
  8. Wed Jul 8 16:25:34 2026 commencing number field sieve (176-digit input)
  9. Wed Jul 8 16:25:34 2026 R0: -15534225886579984103297473243966996
  10. Wed Jul 8 16:25:34 2026 R1: 10907539322600052997339
  11. Wed Jul 8 16:25:34 2026 A0: -213164744908587290436560492596109770236213
  12. Wed Jul 8 16:25:34 2026 A1: -56836429889879483966111115457336644
  13. Wed Jul 8 16:25:34 2026 A2: -1903986004652796672465981294
  14. Wed Jul 8 16:25:34 2026 A3: 92764272012910442189
  15. Wed Jul 8 16:25:34 2026 A4: -1296424241032
  16. Wed Jul 8 16:25:34 2026 A5: 41580
  17. Wed Jul 8 16:25:34 2026 skew 27886969.22, size 5.192e-17, alpha -6.495, combined = 1.987e-13 rroots = 3
  18. Wed Jul 8 16:25:34 2026
  19. Wed Jul 8 16:25:34 2026 commencing relation filtering
  20. Wed Jul 8 16:25:34 2026 setting 3 target densities:Wed Jul 8 16:25:34 2026 90Wed Jul 8 16:25:34 2026 110Wed Jul 8 16:25:34 2026 130Wed Jul 8 16:25:34 2026
  21. Wed Jul 8 16:25:34 2026 estimated available RAM is 78540.1 MB
  22. Wed Jul 8 16:25:34 2026 commencing duplicate removal, pass 1
  23. Wed Jul 8 16:26:07 2026 error -1 reading relation 19632607
  24. Wed Jul 8 16:26:13 2026 error -1 reading relation 22961085
  25. Wed Jul 8 16:27:36 2026 error -1 reading relation 72986052
  26. Wed Jul 8 16:27:57 2026 error -1 reading relation 84108005
  27. Wed Jul 8 16:28:18 2026 error -1 reading relation 96318931
  28. Wed Jul 8 16:28:24 2026 error -1 reading relation 99861229
  29. Wed Jul 8 16:28:25 2026 error -1 reading relation 100459130
  30. Wed Jul 8 16:28:41 2026 error -1 reading relation 111005569
  31. Wed Jul 8 16:28:46 2026 error -1 reading relation 113755499
  32. Wed Jul 8 16:29:08 2026 error -1 reading relation 127098402
  33. Wed Jul 8 16:29:16 2026 error -1 reading relation 132224295
  34. Wed Jul 8 16:29:17 2026 error -1 reading relation 132838533
  35. Wed Jul 8 16:29:21 2026 error -1 reading relation 135564945
  36. Wed Jul 8 16:29:27 2026 error -1 reading relation 140983911
  37. Wed Jul 8 16:29:42 2026 error -1 reading relation 153334327
  38. Wed Jul 8 16:29:43 2026 error -1 reading relation 154106457
  39. Wed Jul 8 16:29:47 2026 error -1 reading relation 157603412
  40. Wed Jul 8 16:29:49 2026 error -1 reading relation 159083785
  41. Wed Jul 8 16:29:49 2026 error -1 reading relation 159100469
  42. Wed Jul 8 16:29:55 2026 error -1 reading relation 163622160
  43. Wed Jul 8 16:29:57 2026 error -1 reading relation 164707954
  44. Wed Jul 8 16:30:03 2026 error -1 reading relation 169577963
  45. Wed Jul 8 16:30:09 2026 error -1 reading relation 173839649
  46. Wed Jul 8 16:30:09 2026 error -1 reading relation 174071719
  47. Wed Jul 8 16:30:11 2026 error -1 reading relation 176208894
  48. Wed Jul 8 16:30:23 2026 error -1 reading relation 184838359
  49. Wed Jul 8 16:30:25 2026 error -11 reading relation 186262102
  50. Wed Jul 8 16:30:29 2026 error -1 reading relation 189660618
  51. Wed Jul 8 16:30:50 2026 error -1 reading relation 205912303
  52. Wed Jul 8 16:31:11 2026 error -1 reading relation 220657459
  53. Wed Jul 8 16:31:15 2026 error -1 reading relation 224149396
  54. Wed Jul 8 16:31:22 2026 error -1 reading relation 228553710
  55. Wed Jul 8 16:31:22 2026 error -1 reading relation 228747253
  56. Wed Jul 8 16:31:23 2026 error -1 reading relation 229419309
  57. Wed Jul 8 16:31:24 2026 error -1 reading relation 230433460
  58. Wed Jul 8 16:31:25 2026 error -1 reading relation 230540000
  59. Wed Jul 8 16:31:25 2026 error -1 reading relation 230606493
  60. Wed Jul 8 16:31:25 2026 error -1 reading relation 230720736
  61. Wed Jul 8 16:31:25 2026 error -1 reading relation 231014337
  62. Wed Jul 8 16:31:25 2026 error -1 reading relation 231114964
  63. Wed Jul 8 16:31:29 2026 error -1 reading relation 233968625
  64. Wed Jul 8 16:31:31 2026 error -1 reading relation 235746290
  65. Wed Jul 8 16:31:46 2026 error -1 reading relation 247717092
  66. Wed Jul 8 16:31:46 2026 error -1 reading relation 247873564
  67. Wed Jul 8 16:31:50 2026 error -1 reading relation 250440948
  68. Wed Jul 8 16:31:54 2026 error -1 reading relation 253320257
  69. Wed Jul 8 16:31:56 2026 error -1 reading relation 255423359
  70. Wed Jul 8 16:31:58 2026 error -15 reading relation 256631654
  71. Wed Jul 8 16:32:02 2026 error -1 reading relation 259462879
  72. Wed Jul 8 16:33:23 2026 error -1 reading relation 318441824
  73. Wed Jul 8 16:33:28 2026 error -1 reading relation 321903128
  74. Wed Jul 8 16:33:46 2026 skipped 464 malformed relations
  75. Wed Jul 8 16:33:46 2026 found 72645750 hash collisions in 332857297 relations
  76. Wed Jul 8 16:33:59 2026 added 122104 free relations
  77. Wed Jul 8 16:33:59 2026 commencing duplicate removal, pass 2
  78. Wed Jul 8 16:36:44 2026 found 79397069 duplicates and 253582332 unique relations
  79. Wed Jul 8 16:36:44 2026 memory use: 1705.5 MB
  80. Wed Jul 8 16:36:44 2026 reading ideals above 212926464
  81. Wed Jul 8 16:36:44 2026 commencing singleton removal, initial pass
  82. Wed Jul 8 16:44:30 2026 memory use: 6024.0 MB
  83. Wed Jul 8 16:44:30 2026 reading all ideals from disk
  84. Wed Jul 8 16:44:39 2026 memory use: 6317.0 MB
  85. Wed Jul 8 16:45:09 2026 commencing in-memory singleton removal
  86. Wed Jul 8 16:45:10 2026 begin with 253582332 relations and 220832935 unique ideals
  87. Wed Jul 8 16:45:26 2026 reduce to 149264149 relations and 104845406 ideals in 15 passes
  88. Wed Jul 8 16:45:26 2026 max relations containing the same ideal: 40
  89. Wed Jul 8 16:45:30 2026 reading ideals above 720000
  90. Wed Jul 8 16:45:31 2026 commencing singleton removal, initial pass
  91. Wed Jul 8 16:52:13 2026 memory use: 3012.0 MB
  92. Wed Jul 8 16:52:14 2026 reading all ideals from disk
  93. Wed Jul 8 16:52:17 2026 memory use: 7069.9 MB
  94. Wed Jul 8 16:52:25 2026 keeping 127599031 ideals with weight <= 200, target excess is 744829
  95. Wed Jul 8 16:52:35 2026 commencing in-memory singleton removal
  96. Wed Jul 8 16:52:37 2026 begin with 149264149 relations and 127599031 unique ideals
  97. Wed Jul 8 16:52:48 2026 reduce to 149156931 relations and 127491797 ideals in 9 passes
  98. Wed Jul 8 16:52:48 2026 max relations containing the same ideal: 200
  99. Wed Jul 8 16:53:38 2026 removing 12726014 relations and 10726014 ideals in 2000000 cliques
  100. Wed Jul 8 16:53:41 2026 commencing in-memory singleton removal
  101. Wed Jul 8 16:53:42 2026 begin with 136430917 relations and 127491797 unique ideals
  102. Wed Jul 8 16:53:53 2026 reduce to 135569997 relations and 115889646 ideals in 9 passes
  103. Wed Jul 8 16:53:53 2026 max relations containing the same ideal: 197
  104. Wed Jul 8 16:54:29 2026 removing 9728137 relations and 7728137 ideals in 2000000 cliques
  105. Wed Jul 8 16:54:31 2026 commencing in-memory singleton removal
  106. Wed Jul 8 16:54:32 2026 begin with 125841860 relations and 115889646 unique ideals
  107. Wed Jul 8 16:54:42 2026 reduce to 125263895 relations and 107574730 ideals in 10 passes
  108. Wed Jul 8 16:54:42 2026 max relations containing the same ideal: 189
  109. Wed Jul 8 16:55:15 2026 removing 8827481 relations and 6827481 ideals in 2000000 cliques
  110. Wed Jul 8 16:55:18 2026 commencing in-memory singleton removal
  111. Wed Jul 8 16:55:19 2026 begin with 116436414 relations and 107574730 unique ideals
  112. Wed Jul 8 16:55:27 2026 reduce to 115920323 relations and 100223172 ideals in 8 passes
  113. Wed Jul 8 16:55:27 2026 max relations containing the same ideal: 182
  114. Wed Jul 8 16:55:57 2026 removing 8374491 relations and 6374491 ideals in 2000000 cliques
  115. Wed Jul 8 16:55:59 2026 commencing in-memory singleton removal
  116. Wed Jul 8 16:56:00 2026 begin with 107545832 relations and 100223172 unique ideals
  117. Wed Jul 8 16:56:06 2026 reduce to 107043457 relations and 93338365 ideals in 8 passes
  118. Wed Jul 8 16:56:06 2026 max relations containing the same ideal: 172
  119. Wed Jul 8 16:56:34 2026 removing 8108150 relations and 6108150 ideals in 2000000 cliques
  120. Wed Jul 8 16:56:36 2026 commencing in-memory singleton removal
  121. Wed Jul 8 16:56:37 2026 begin with 98935307 relations and 93338365 unique ideals
  122. Wed Jul 8 16:56:43 2026 reduce to 98431269 relations and 86717659 ideals in 7 passes
  123. Wed Jul 8 16:56:43 2026 max relations containing the same ideal: 160
  124. Wed Jul 8 16:57:09 2026 removing 7947347 relations and 5947347 ideals in 2000000 cliques
  125. Wed Jul 8 16:57:11 2026 commencing in-memory singleton removal
  126. Wed Jul 8 16:57:12 2026 begin with 90483922 relations and 86717659 unique ideals
  127. Wed Jul 8 16:57:18 2026 reduce to 89960824 relations and 80237735 ideals in 7 passes
  128. Wed Jul 8 16:57:18 2026 max relations containing the same ideal: 152
  129. Wed Jul 8 16:57:43 2026 removing 7853018 relations and 5853018 ideals in 2000000 cliques
  130. Wed Jul 8 16:57:45 2026 commencing in-memory singleton removal
  131. Wed Jul 8 16:57:46 2026 begin with 82107806 relations and 80237735 unique ideals
  132. Wed Jul 8 16:57:51 2026 reduce to 81555186 relations and 73821172 ideals in 8 passes
  133. Wed Jul 8 16:57:51 2026 max relations containing the same ideal: 141
  134. Wed Jul 8 16:58:14 2026 removing 7818848 relations and 5818848 ideals in 2000000 cliques
  135. Wed Jul 8 16:58:15 2026 commencing in-memory singleton removal
  136. Wed Jul 8 16:58:16 2026 begin with 73736338 relations and 73821172 unique ideals
  137. Wed Jul 8 16:58:21 2026 reduce to 73141038 relations and 67394367 ideals in 8 passes
  138. Wed Jul 8 16:58:21 2026 max relations containing the same ideal: 133
  139. Wed Jul 8 16:58:41 2026 removing 7812552 relations and 5812552 ideals in 2000000 cliques
  140. Wed Jul 8 16:58:43 2026 commencing in-memory singleton removal
  141. Wed Jul 8 16:58:44 2026 begin with 65328486 relations and 67394367 unique ideals
  142. Wed Jul 8 16:58:48 2026 reduce to 64668596 relations and 60906399 ideals in 8 passes
  143. Wed Jul 8 16:58:48 2026 max relations containing the same ideal: 122
  144. Wed Jul 8 16:59:08 2026 removing 7842825 relations and 5842825 ideals in 2000000 cliques
  145. Wed Jul 8 16:59:09 2026 commencing in-memory singleton removal
  146. Wed Jul 8 16:59:09 2026 begin with 56825771 relations and 60906399 unique ideals
  147. Wed Jul 8 16:59:12 2026 reduce to 56077938 relations and 54295777 ideals in 8 passes
  148. Wed Jul 8 16:59:12 2026 max relations containing the same ideal: 111
  149. Wed Jul 8 16:59:29 2026 removing 4292839 relations and 3374680 ideals in 918159 cliques
  150. Wed Jul 8 16:59:31 2026 commencing in-memory singleton removal
  151. Wed Jul 8 16:59:31 2026 begin with 51785099 relations and 54295777 unique ideals
  152. Wed Jul 8 16:59:34 2026 reduce to 51549532 relations and 50682143 ideals in 8 passes
  153. Wed Jul 8 16:59:34 2026 max relations containing the same ideal: 104
  154. Wed Jul 8 16:59:50 2026 trying target density 90
  155. Wed Jul 8 16:59:54 2026 relations with 0 large ideals: 2828
  156. Wed Jul 8 16:59:54 2026 relations with 1 large ideals: 8029
  157. Wed Jul 8 16:59:54 2026 relations with 2 large ideals: 138245
  158. Wed Jul 8 16:59:54 2026 relations with 3 large ideals: 1014399
  159. Wed Jul 8 16:59:54 2026 relations with 4 large ideals: 4024002
  160. Wed Jul 8 16:59:54 2026 relations with 5 large ideals: 9491627
  161. Wed Jul 8 16:59:54 2026 relations with 6 large ideals: 13965652
  162. Wed Jul 8 16:59:54 2026 relations with 7+ large ideals: 22904750
  163. Wed Jul 8 16:59:54 2026 commencing 2-way merge
  164. Wed Jul 8 17:00:23 2026 reduce to 32449955 relation sets and 31582566 unique ideals
  165. Wed Jul 8 17:00:23 2026 commencing full merge
  166. Wed Jul 8 17:10:50 2026 memory use: 3808.2 MB
  167. Wed Jul 8 17:10:55 2026 found 16126665 cycles, need 16012766
  168. Wed Jul 8 17:11:00 2026 weight of 16012766 cycles is about 1441611308 (90.03/cycle)
  169. Wed Jul 8 17:11:00 2026 distribution of cycle lengths:
  170. Wed Jul 8 17:11:00 2026 1 relations: 1438929
  171. Wed Jul 8 17:11:00 2026 2 relations: 1582723
  172. Wed Jul 8 17:11:00 2026 3 relations: 1625741
  173. Wed Jul 8 17:11:00 2026 4 relations: 1544432
  174. Wed Jul 8 17:11:00 2026 5 relations: 1464223
  175. Wed Jul 8 17:11:00 2026 6 relations: 1372528
  176. Wed Jul 8 17:11:00 2026 7 relations: 1256124
  177. Wed Jul 8 17:11:00 2026 8 relations: 1120746
  178. Wed Jul 8 17:11:00 2026 9 relations: 979451
  179. Wed Jul 8 17:11:00 2026 10+ relations: 3627869
  180. Wed Jul 8 17:11:00 2026 heaviest cycle: 23 relations
  181. Wed Jul 8 17:11:04 2026 commencing cycle optimization
  182. Wed Jul 8 17:11:36 2026 start with 103810191 relations
  183. Wed Jul 8 17:14:49 2026 pruned 3167887 relations
  184. Wed Jul 8 17:14:51 2026 memory use: 3195.5 MB
  185. Wed Jul 8 17:14:51 2026 distribution of cycle lengths:
  186. Wed Jul 8 17:14:51 2026 1 relations: 1438929
  187. Wed Jul 8 17:14:51 2026 2 relations: 1620475
  188. Wed Jul 8 17:14:51 2026 3 relations: 1687876
  189. Wed Jul 8 17:14:51 2026 4 relations: 1590821
  190. Wed Jul 8 17:14:51 2026 5 relations: 1514483
  191. Wed Jul 8 17:14:51 2026 6 relations: 1409498
  192. Wed Jul 8 17:14:51 2026 7 relations: 1288156
  193. Wed Jul 8 17:14:51 2026 8 relations: 1138941
  194. Wed Jul 8 17:14:51 2026 9 relations: 988867
  195. Wed Jul 8 17:14:51 2026 10+ relations: 3334720
  196. Wed Jul 8 17:14:51 2026 heaviest cycle: 23 relations
  197. Wed Jul 8 17:15:19 2026 trying target density 110
  198. Wed Jul 8 17:15:25 2026 relations with 0 large ideals: 2828
  199. Wed Jul 8 17:15:25 2026 relations with 1 large ideals: 8029
  200. Wed Jul 8 17:15:25 2026 relations with 2 large ideals: 138245
  201. Wed Jul 8 17:15:25 2026 relations with 3 large ideals: 1014399
  202. Wed Jul 8 17:15:25 2026 relations with 4 large ideals: 4024002
  203. Wed Jul 8 17:15:25 2026 relations with 5 large ideals: 9491627
  204. Wed Jul 8 17:15:25 2026 relations with 6 large ideals: 13965652
  205. Wed Jul 8 17:15:25 2026 relations with 7+ large ideals: 22904750
  206. Wed Jul 8 17:15:25 2026 commencing 2-way merge
  207. Wed Jul 8 17:16:03 2026 reduce to 32449955 relation sets and 31582566 unique ideals
  208. Wed Jul 8 17:16:03 2026 commencing full merge
  209. Wed Jul 8 17:29:23 2026 memory use: 3912.5 MB
  210. Wed Jul 8 17:29:30 2026 found 15044893 cycles, need 14970766
  211. Wed Jul 8 17:29:36 2026 weight of 14970766 cycles is about 1646958353 (110.01/cycle)
  212. Wed Jul 8 17:29:36 2026 distribution of cycle lengths:
  213. Wed Jul 8 17:29:36 2026 1 relations: 912605
  214. Wed Jul 8 17:29:36 2026 2 relations: 1180747
  215. Wed Jul 8 17:29:36 2026 3 relations: 1265906
  216. Wed Jul 8 17:29:36 2026 4 relations: 1225892
  217. Wed Jul 8 17:29:36 2026 5 relations: 1194141
  218. Wed Jul 8 17:29:36 2026 6 relations: 1148124
  219. Wed Jul 8 17:29:36 2026 7 relations: 1083782
  220. Wed Jul 8 17:29:36 2026 8 relations: 1018681
  221. Wed Jul 8 17:29:36 2026 9 relations: 936501
  222. Wed Jul 8 17:29:36 2026 10+ relations: 5004387
  223. Wed Jul 8 17:29:36 2026 heaviest cycle: 27 relations
  224. Wed Jul 8 17:29:39 2026 commencing cycle optimization
  225. Wed Jul 8 17:30:17 2026 start with 118242411 relations
  226. Wed Jul 8 17:35:13 2026 pruned 4458207 relations
  227. Wed Jul 8 17:35:15 2026 memory use: 3348.8 MB
  228. Wed Jul 8 17:35:15 2026 distribution of cycle lengths:
  229. Wed Jul 8 17:35:15 2026 1 relations: 912605
  230. Wed Jul 8 17:35:15 2026 2 relations: 1211008
  231. Wed Jul 8 17:35:15 2026 3 relations: 1317935
  232. Wed Jul 8 17:35:15 2026 4 relations: 1270067
  233. Wed Jul 8 17:35:15 2026 5 relations: 1242600
  234. Wed Jul 8 17:35:15 2026 6 relations: 1189717
  235. Wed Jul 8 17:35:15 2026 7 relations: 1124787
  236. Wed Jul 8 17:35:15 2026 8 relations: 1050032
  237. Wed Jul 8 17:35:15 2026 9 relations: 962141
  238. Wed Jul 8 17:35:15 2026 10+ relations: 4689874
  239. Wed Jul 8 17:35:15 2026 heaviest cycle: 27 relations
  240. Wed Jul 8 17:35:46 2026 trying target density 130
  241. Wed Jul 8 17:35:51 2026 relations with 0 large ideals: 2828
  242. Wed Jul 8 17:35:51 2026 relations with 1 large ideals: 8029
  243. Wed Jul 8 17:35:51 2026 relations with 2 large ideals: 138245
  244. Wed Jul 8 17:35:51 2026 relations with 3 large ideals: 1014399
  245. Wed Jul 8 17:35:51 2026 relations with 4 large ideals: 4024002
  246. Wed Jul 8 17:35:51 2026 relations with 5 large ideals: 9491627
  247. Wed Jul 8 17:35:51 2026 relations with 6 large ideals: 13965652
  248. Wed Jul 8 17:35:51 2026 relations with 7+ large ideals: 22904750
  249. Wed Jul 8 17:35:51 2026 commencing 2-way merge
  250. Wed Jul 8 17:36:27 2026 reduce to 32449955 relation sets and 31582566 unique ideals
  251. Wed Jul 8 17:36:27 2026 commencing full merge
  252. Wed Jul 8 18:05:03 2026 memory use: 1460.2 MB
  253. Wed Jul 8 18:05:03 2026 found 41926 cycles, need 6860029
  254. Wed Jul 8 18:05:03 2026 too few cycles, matrix probably cannot build
  255. Wed Jul 8 18:05:05 2026 RelProcTime: 5971
  256. Wed Jul 8 18:05:05 2026
  257. Wed Jul 8 18:05:05 2026 commencing linear algebra
  258. Wed Jul 8 18:05:05 2026 using VBITS=256
  259. Wed Jul 8 18:05:05 2026 building matrices for all densities
  260. Wed Jul 8 18:05:05 2026 found 2 density files
  261. Wed Jul 8 18:05:05 2026 building matrix for density 90
  262. Wed Jul 8 18:05:06 2026 read 16012766 cycles
  263. Wed Jul 8 18:05:32 2026 cycles contain 50966088 unique relations
  264. Wed Jul 8 18:07:02 2026 read 50966088 relations
  265. Wed Jul 8 18:07:23 2026 using 20 quadratic characters above 4294917295
  266. Wed Jul 8 18:07:52 2026 building initial matrix
  267. Wed Jul 8 18:18:12 2026 memory use: 7037.1 MB
  268. Wed Jul 8 18:18:19 2026 read 16012766 cycles
  269. Wed Jul 8 18:18:21 2026 matrix is 16012589 x 16012766 (5991.4 MB) with weight 1849361455 (115.49/col)
  270. Wed Jul 8 18:18:21 2026 sparse part has weight 1378461557 (86.09/col)
  271. Wed Jul 8 18:21:34 2026 filtering completed in 2 passes
  272. Wed Jul 8 18:21:38 2026 matrix is 16010292 x 16010468 (5991.2 MB) with weight 1849269343 (115.50/col)
  273. Wed Jul 8 18:21:38 2026 sparse part has weight 1378438906 (86.10/col)
  274. Wed Jul 8 18:22:46 2026 building matrix for density 110
  275. Wed Jul 8 18:22:51 2026 read 14970766 cycles
  276. Wed Jul 8 18:23:43 2026 cycles contain 50975992 unique relations
  277. Wed Jul 8 18:27:17 2026 read 50975992 relations
  278. Wed Jul 8 18:27:47 2026 using 20 quadratic characters above 4294917295
  279. Wed Jul 8 18:28:19 2026 building initial matrix
  280. Wed Jul 8 18:39:30 2026 memory use: 7056.6 MB
  281. Wed Jul 8 18:39:44 2026 read 14970766 cycles
  282. Wed Jul 8 18:39:46 2026 matrix is 14970589 x 14970766 (6610.4 MB) with weight 2021086090 (135.00/col)
  283. Wed Jul 8 18:39:46 2026 sparse part has weight 1553224557 (103.75/col)
  284. Wed Jul 8 18:41:46 2026 filtering completed in 2 passes
  285. Wed Jul 8 18:41:51 2026 matrix is 14969748 x 14969925 (6610.3 MB) with weight 2021047842 (135.01/col)
  286. Wed Jul 8 18:41:51 2026 sparse part has weight 1553214383 (103.76/col)
  287. Wed Jul 8 18:42:41 2026 BLanczosTime: 2256
  288. Wed Jul 8 18:42:41 2026 elapsed time 02:17:08
  289. Thu Jul 9 01:57:41 2026
  290. Thu Jul 9 01:57:41 2026
  291. Thu Jul 9 01:57:41 2026 Msieve v. 1.54 (SVN unknown)
  292. Thu Jul 9 01:57:41 2026 random seeds: b190922e c8250007
  293. Thu Jul 9 01:57:41 2026 Using 8 OpenMP threads
  294. Thu Jul 9 01:57:41 2026 factoring 37611708161965835783679965728144567828799445065335827140410851797117669263368038475685787170840869973780095395983137820413842238131624590403138089062171343852688924311680116329 (176 digits)
  295. Thu Jul 9 01:57:42 2026 no P-1/P+1/ECM available, skipping
  296. Thu Jul 9 01:57:42 2026 commencing number field sieve (176-digit input)
  297. Thu Jul 9 01:57:42 2026 R0: -15534225886579984103297473243966996
  298. Thu Jul 9 01:57:42 2026 R1: 10907539322600052997339
  299. Thu Jul 9 01:57:42 2026 A0: -213164744908587290436560492596109770236213
  300. Thu Jul 9 01:57:42 2026 A1: -56836429889879483966111115457336644
  301. Thu Jul 9 01:57:42 2026 A2: -1903986004652796672465981294
  302. Thu Jul 9 01:57:42 2026 A3: 92764272012910442189
  303. Thu Jul 9 01:57:42 2026 A4: -1296424241032
  304. Thu Jul 9 01:57:42 2026 A5: 41580
  305. Thu Jul 9 01:57:42 2026 skew 27886969.22, size 5.192e-17, alpha -6.495, combined = 1.987e-13 rroots = 3
  306. Thu Jul 9 01:57:42 2026
  307. Thu Jul 9 01:57:42 2026 commencing linear algebra
  308. Thu Jul 9 01:57:42 2026 using VBITS=256
  309. Thu Jul 9 01:57:42 2026 skipping matrix build
  310. Thu Jul 9 01:57:47 2026 matrix starts at (0, 0)
  311. Thu Jul 9 01:57:49 2026 matrix is 14969748 x 14969925 (6610.3 MB) with weight 2021047842 (135.01/col)
  312. Thu Jul 9 01:57:49 2026 sparse part has weight 1553214383 (103.76/col)
  313. Thu Jul 9 01:57:49 2026 saving the first 240 matrix rows for later
  314. Thu Jul 9 01:57:52 2026 matrix includes 256 packed rows
  315. Thu Jul 9 01:57:56 2026 matrix is 14969508 x 14969925 (6010.2 MB) with weight 1421139469 (94.93/col)
  316. Thu Jul 9 01:57:56 2026 sparse part has weight 1336026282 (89.25/col)
  317. Thu Jul 9 01:57:57 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  318. Thu Jul 9 01:57:57 2026 selected card has CUDA arch 12.0
  319. Thu Jul 9 01:57:57 2026 computed block_nnz 140373959 (L2 cache 100663296 bytes, average column weight 89.2)
  320. Thu Jul 9 01:57:57 2026 nonzeros per matrix block: 256000000
  321. Thu Jul 9 01:59:59 2026 commencing Lanczos iteration
  322. Thu Jul 9 02:00:01 2026 memory use: 14533.1 MB
  323. Thu Jul 9 02:00:15 2026 linear algebra at 0.2%, ETA 1h45m
  324. Thu Jul 9 02:00:35 2026 checking every 130000 dimensions, checkpointing every 8450000 dimensions
  325. Thu Jul 9 03:46:16 2026 lanczos halted after 58652 iterations (dim = 14969506)
  326. Thu Jul 9 03:47:32 2026 recovered 30 nontrivial dependencies
  327. Thu Jul 9 03:47:33 2026 BLanczosTime: 6591
  328. Thu Jul 9 03:47:33 2026 elapsed time 01:49:52
  329. Thu Jul 9 07:32:07 2026
  330. Thu Jul 9 07:32:07 2026
  331. Thu Jul 9 07:32:07 2026 Msieve v. 1.54 (SVN unknown)
  332. Thu Jul 9 07:32:07 2026 random seeds: 480efc75 3491911c
  333. Thu Jul 9 07:32:07 2026 Using 8 OpenMP threads
  334. Thu Jul 9 07:32:07 2026 factoring 37611708161965835783679965728144567828799445065335827140410851797117669263368038475685787170840869973780095395983137820413842238131624590403138089062171343852688924311680116329 (176 digits)
  335. Thu Jul 9 07:32:08 2026 no P-1/P+1/ECM available, skipping
  336. Thu Jul 9 07:32:08 2026 commencing number field sieve (176-digit input)
  337. Thu Jul 9 07:32:08 2026 R0: -15534225886579984103297473243966996
  338. Thu Jul 9 07:32:08 2026 R1: 10907539322600052997339
  339. Thu Jul 9 07:32:08 2026 A0: -213164744908587290436560492596109770236213
  340. Thu Jul 9 07:32:08 2026 A1: -56836429889879483966111115457336644
  341. Thu Jul 9 07:32:08 2026 A2: -1903986004652796672465981294
  342. Thu Jul 9 07:32:08 2026 A3: 92764272012910442189
  343. Thu Jul 9 07:32:08 2026 A4: -1296424241032
  344. Thu Jul 9 07:32:08 2026 A5: 41580
  345. Thu Jul 9 07:32:08 2026 skew 27886969.22, size 5.192e-17, alpha -6.495, combined = 1.987e-13 rroots = 3
  346. Thu Jul 9 07:32:08 2026
  347. Thu Jul 9 07:32:08 2026 commencing square root phase
  348. Thu Jul 9 07:32:08 2026 reading relations for dependency 1
  349. Thu Jul 9 07:32:32 2026 read 7483585 cycles
  350. Thu Jul 9 07:32:57 2026 cycles contain 25486960 unique relations
  351. Thu Jul 9 07:35:59 2026 read 25486960 relations
  352. Thu Jul 9 07:39:23 2026 multiplying 25486960 relations
  353. Thu Jul 9 07:44:27 2026 multiply complete, coefficients have about 1364.80 million bits
  354. Thu Jul 9 07:44:34 2026 initial square root is modulo 1324733
  355. Thu Jul 9 07:56:42 2026 sqrtTime: 1474
  356. Thu Jul 9 07:56:42 2026 p79 factor: 9424499910366095061864167005383077131124682979953980877350107068672255452696203
  357. Thu Jul 9 07:56:42 2026 p97 factor: 3990843919537456659816198756967928534850575929002685899275436984971024602000776739546553468113243
  358. Thu Jul 9 07:56:42 2026 elapsed time 00:24:35
  359.  
Tags: math
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