kyleaskine

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Jun 22nd, 2026
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  1. Sun Jun 21 21:40:12 2026
  2. Sun Jun 21 21:40:12 2026
  3. Sun Jun 21 21:40:12 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jun 21 21:40:12 2026 random seeds: a73296e9 d7e9d7ac
  5. Sun Jun 21 21:40:12 2026 Using 8 OpenMP threads
  6. Sun Jun 21 21:40:12 2026 factoring 8205395343655521880643993587974293856486259359911492803669648537324842730049198821094551930481298035087624355729244100412387474212482355244705855142620356395941332186864257 (172 digits)
  7. Sun Jun 21 21:40:12 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jun 21 21:40:12 2026 commencing number field sieve (172-digit input)
  9. Sun Jun 21 21:40:12 2026 R0: -3522976980892777143951604070074083
  10. Sun Jun 21 21:40:12 2026 R1: 773747030297326931627
  11. Sun Jun 21 21:40:12 2026 A0: 709128678053672171830207236943534899147140
  12. Sun Jun 21 21:40:12 2026 A1: -31141578392142399539902147652711204
  13. Sun Jun 21 21:40:12 2026 A2: -2994177171408325754997444061
  14. Sun Jun 21 21:40:12 2026 A3: -11300916823197922084
  15. Sun Jun 21 21:40:12 2026 A4: -207358065196
  16. Sun Jun 21 21:40:12 2026 A5: 15120
  17. Sun Jun 21 21:40:12 2026 skew 35302273.27, size 1.134e-16, alpha -7.021, combined = 3.175e-13 rroots = 3
  18. Sun Jun 21 21:40:12 2026
  19. Sun Jun 21 21:40:12 2026 commencing relation filtering
  20. Sun Jun 21 21:40:12 2026 setting 3 target densities:Sun Jun 21 21:40:12 2026 100Sun Jun 21 21:40:12 2026 120Sun Jun 21 21:40:12 2026 140Sun Jun 21 21:40:12 2026
  21. Sun Jun 21 21:40:12 2026 estimated available RAM is 78540.1 MB
  22. Sun Jun 21 21:40:12 2026 commencing duplicate removal, pass 1
  23. Sun Jun 21 21:41:58 2026 error -1 reading relation 34420210
  24. Sun Jun 21 21:44:51 2026 error -1 reading relation 88823643
  25. Sun Jun 21 21:45:02 2026 error -1 reading relation 93228264
  26. Sun Jun 21 21:45:38 2026 error -1 reading relation 105006358
  27. Sun Jun 21 21:45:45 2026 error -1 reading relation 106957970
  28. Sun Jun 21 21:46:07 2026 error -1 reading relation 114308524
  29. Sun Jun 21 21:46:16 2026 error -1 reading relation 116966003
  30. Sun Jun 21 21:46:26 2026 error -1 reading relation 120600477
  31. Sun Jun 21 21:48:19 2026 error -1 reading relation 154308044
  32. Sun Jun 21 21:48:24 2026 error -1 reading relation 155698475
  33. Sun Jun 21 21:52:14 2026 error -1 reading relation 226556574
  34. Sun Jun 21 21:53:45 2026 error -1 reading relation 254798713
  35. Sun Jun 21 21:54:01 2026 error -1 reading relation 259529435
  36. Sun Jun 21 21:54:32 2026 error -1 reading relation 269240807
  37. Sun Jun 21 21:56:27 2026 error -1 reading relation 305353206
  38. Sun Jun 21 21:56:27 2026 error -1 reading relation 305436219
  39. Sun Jun 21 21:56:31 2026 error -1 reading relation 306244584
  40. Sun Jun 21 21:56:46 2026 skipped 1 relations with composite factors
  41. Sun Jun 21 21:56:46 2026 skipped 209 malformed relations
  42. Sun Jun 21 21:56:46 2026 found 64708731 hash collisions in 311527703 relations
  43. Sun Jun 21 21:57:04 2026 added 122180 free relations
  44. Sun Jun 21 21:57:04 2026 commencing duplicate removal, pass 2
  45. Sun Jun 21 22:01:22 2026 found 69390676 duplicates and 242259207 unique relations
  46. Sun Jun 21 22:01:22 2026 memory use: 1705.5 MB
  47. Sun Jun 21 22:01:23 2026 reading ideals above 720000
  48. Sun Jun 21 22:01:23 2026 commencing singleton removal, initial pass
  49. Sun Jun 21 22:34:05 2026 memory use: 6024.0 MB
  50. Sun Jun 21 22:34:06 2026 reading all ideals from disk
  51. Sun Jun 21 22:35:08 2026 memory use: 11353.7 MB
  52. Sun Jun 21 22:36:30 2026 keeping 236736834 ideals with weight <= 200, target excess is 1179652
  53. Sun Jun 21 22:37:12 2026 commencing in-memory singleton removal
  54. Sun Jun 21 22:37:19 2026 begin with 242259207 relations and 236736834 unique ideals
  55. Sun Jun 21 22:38:17 2026 reduce to 133949681 relations and 115285613 ideals in 17 passes
  56. Sun Jun 21 22:38:17 2026 max relations containing the same ideal: 141
  57. Sun Jun 21 22:39:55 2026 removing 13054872 relations and 11054872 ideals in 2000000 cliques
  58. Sun Jun 21 22:40:00 2026 commencing in-memory singleton removal
  59. Sun Jun 21 22:40:04 2026 begin with 120894809 relations and 115285613 unique ideals
  60. Sun Jun 21 22:40:26 2026 reduce to 119866862 relations and 103182578 ideals in 9 passes
  61. Sun Jun 21 22:40:26 2026 max relations containing the same ideal: 130
  62. Sun Jun 21 22:41:47 2026 removing 9964824 relations and 7964824 ideals in 2000000 cliques
  63. Sun Jun 21 22:41:48 2026 commencing in-memory singleton removal
  64. Sun Jun 21 22:41:51 2026 begin with 109902038 relations and 103182578 unique ideals
  65. Sun Jun 21 22:42:15 2026 reduce to 109206923 relations and 94510473 ideals in 9 passes
  66. Sun Jun 21 22:42:15 2026 max relations containing the same ideal: 124
  67. Sun Jun 21 22:43:24 2026 removing 9033232 relations and 7033232 ideals in 2000000 cliques
  68. Sun Jun 21 22:43:28 2026 commencing in-memory singleton removal
  69. Sun Jun 21 22:43:30 2026 begin with 100173691 relations and 94510473 unique ideals
  70. Sun Jun 21 22:43:47 2026 reduce to 99541673 relations and 86833995 ideals in 8 passes
  71. Sun Jun 21 22:43:47 2026 max relations containing the same ideal: 119
  72. Sun Jun 21 22:44:52 2026 removing 8583883 relations and 6583883 ideals in 2000000 cliques
  73. Sun Jun 21 22:44:56 2026 commencing in-memory singleton removal
  74. Sun Jun 21 22:44:59 2026 begin with 90957790 relations and 86833995 unique ideals
  75. Sun Jun 21 22:45:18 2026 reduce to 90334954 relations and 79615663 ideals in 10 passes
  76. Sun Jun 21 22:45:18 2026 max relations containing the same ideal: 111
  77. Sun Jun 21 22:46:17 2026 removing 8331884 relations and 6331884 ideals in 2000000 cliques
  78. Sun Jun 21 22:46:21 2026 commencing in-memory singleton removal
  79. Sun Jun 21 22:46:23 2026 begin with 82003070 relations and 79615663 unique ideals
  80. Sun Jun 21 22:46:38 2026 reduce to 81357365 relations and 72624972 ideals in 8 passes
  81. Sun Jun 21 22:46:38 2026 max relations containing the same ideal: 104
  82. Sun Jun 21 22:47:32 2026 removing 8203835 relations and 6203835 ideals in 2000000 cliques
  83. Sun Jun 21 22:47:36 2026 commencing in-memory singleton removal
  84. Sun Jun 21 22:47:37 2026 begin with 73153530 relations and 72624972 unique ideals
  85. Sun Jun 21 22:47:50 2026 reduce to 72459452 relations and 65712036 ideals in 9 passes
  86. Sun Jun 21 22:47:50 2026 max relations containing the same ideal: 99
  87. Sun Jun 21 22:48:46 2026 removing 8162708 relations and 6162708 ideals in 2000000 cliques
  88. Sun Jun 21 22:48:50 2026 commencing in-memory singleton removal
  89. Sun Jun 21 22:48:52 2026 begin with 64296744 relations and 65712036 unique ideals
  90. Sun Jun 21 22:49:05 2026 reduce to 63523676 relations and 58757422 ideals in 9 passes
  91. Sun Jun 21 22:49:05 2026 max relations containing the same ideal: 89
  92. Sun Jun 21 22:49:47 2026 removing 8190843 relations and 6190843 ideals in 2000000 cliques
  93. Sun Jun 21 22:49:50 2026 commencing in-memory singleton removal
  94. Sun Jun 21 22:49:52 2026 begin with 55332833 relations and 58757422 unique ideals
  95. Sun Jun 21 22:50:05 2026 reduce to 54439765 relations and 51648970 ideals in 10 passes
  96. Sun Jun 21 22:50:05 2026 max relations containing the same ideal: 81
  97. Sun Jun 21 22:50:40 2026 removing 6364757 relations and 4942359 ideals in 1422398 cliques
  98. Sun Jun 21 22:50:43 2026 commencing in-memory singleton removal
  99. Sun Jun 21 22:50:44 2026 begin with 48075008 relations and 51648970 unique ideals
  100. Sun Jun 21 22:50:53 2026 reduce to 47466637 relations and 46084114 ideals in 9 passes
  101. Sun Jun 21 22:50:53 2026 max relations containing the same ideal: 73
  102. Sun Jun 21 22:51:28 2026 removing 135962 relations and 121836 ideals in 14126 cliques
  103. Sun Jun 21 22:51:29 2026 commencing in-memory singleton removal
  104. Sun Jun 21 22:51:30 2026 begin with 47330675 relations and 46084114 unique ideals
  105. Sun Jun 21 22:51:34 2026 reduce to 47330457 relations and 45962060 ideals in 4 passes
  106. Sun Jun 21 22:51:34 2026 max relations containing the same ideal: 73
  107. Sun Jun 21 22:51:36 2026 trying target density 100
  108. Sun Jun 21 22:51:39 2026 relations with 0 large ideals: 4362
  109. Sun Jun 21 22:51:39 2026 relations with 1 large ideals: 31350
  110. Sun Jun 21 22:51:39 2026 relations with 2 large ideals: 419628
  111. Sun Jun 21 22:51:39 2026 relations with 3 large ideals: 2338133
  112. Sun Jun 21 22:51:39 2026 relations with 4 large ideals: 6956156
  113. Sun Jun 21 22:51:39 2026 relations with 5 large ideals: 12110036
  114. Sun Jun 21 22:51:39 2026 relations with 6 large ideals: 12933176
  115. Sun Jun 21 22:51:39 2026 relations with 7+ large ideals: 12537616
  116. Sun Jun 21 22:51:39 2026 commencing 2-way merge
  117. Sun Jun 21 22:52:29 2026 reduce to 28767903 relation sets and 27399506 unique ideals
  118. Sun Jun 21 22:52:29 2026 commencing full merge
  119. Sun Jun 21 23:07:37 2026 memory use: 3279.6 MB
  120. Sun Jun 21 23:07:42 2026 found 13531871 cycles, need 13379706
  121. Sun Jun 21 23:07:48 2026 weight of 13379706 cycles is about 1338505217 (100.04/cycle)
  122. Sun Jun 21 23:07:48 2026 distribution of cycle lengths:
  123. Sun Jun 21 23:07:48 2026 1 relations: 1202166
  124. Sun Jun 21 23:07:48 2026 2 relations: 1168299
  125. Sun Jun 21 23:07:48 2026 3 relations: 1163239
  126. Sun Jun 21 23:07:48 2026 4 relations: 1116752
  127. Sun Jun 21 23:07:48 2026 5 relations: 1086637
  128. Sun Jun 21 23:07:48 2026 6 relations: 1011647
  129. Sun Jun 21 23:07:48 2026 7 relations: 965642
  130. Sun Jun 21 23:07:48 2026 8 relations: 887463
  131. Sun Jun 21 23:07:48 2026 9 relations: 803608
  132. Sun Jun 21 23:07:48 2026 10+ relations: 3974253
  133. Sun Jun 21 23:07:48 2026 heaviest cycle: 25 relations
  134. Sun Jun 21 23:07:54 2026 commencing cycle optimization
  135. Sun Jun 21 23:08:42 2026 start with 97768877 relations
  136. Sun Jun 21 23:14:21 2026 pruned 3215609 relations
  137. Sun Jun 21 23:14:23 2026 memory use: 2925.1 MB
  138. Sun Jun 21 23:14:23 2026 distribution of cycle lengths:
  139. Sun Jun 21 23:14:23 2026 1 relations: 1202166
  140. Sun Jun 21 23:14:23 2026 2 relations: 1196614
  141. Sun Jun 21 23:14:23 2026 3 relations: 1207980
  142. Sun Jun 21 23:14:23 2026 4 relations: 1152679
  143. Sun Jun 21 23:14:23 2026 5 relations: 1125058
  144. Sun Jun 21 23:14:23 2026 6 relations: 1043978
  145. Sun Jun 21 23:14:23 2026 7 relations: 995735
  146. Sun Jun 21 23:14:23 2026 8 relations: 910023
  147. Sun Jun 21 23:14:23 2026 9 relations: 821458
  148. Sun Jun 21 23:14:23 2026 10+ relations: 3724015
  149. Sun Jun 21 23:14:23 2026 heaviest cycle: 25 relations
  150. Sun Jun 21 23:15:09 2026 trying target density 120
  151. Sun Jun 21 23:15:15 2026 relations with 0 large ideals: 4362
  152. Sun Jun 21 23:15:15 2026 relations with 1 large ideals: 31350
  153. Sun Jun 21 23:15:15 2026 relations with 2 large ideals: 419628
  154. Sun Jun 21 23:15:15 2026 relations with 3 large ideals: 2338133
  155. Sun Jun 21 23:15:15 2026 relations with 4 large ideals: 6956156
  156. Sun Jun 21 23:15:15 2026 relations with 5 large ideals: 12110036
  157. Sun Jun 21 23:15:15 2026 relations with 6 large ideals: 12933176
  158. Sun Jun 21 23:15:15 2026 relations with 7+ large ideals: 12537616
  159. Sun Jun 21 23:15:15 2026 commencing 2-way merge
  160. Sun Jun 21 23:15:59 2026 reduce to 28767903 relation sets and 27399506 unique ideals
  161. Sun Jun 21 23:15:59 2026 commencing full merge
  162. Sun Jun 21 23:33:37 2026 memory use: 3325.8 MB
  163. Sun Jun 21 23:33:42 2026 found 12642056 cycles, need 12593706
  164. Sun Jun 21 23:33:49 2026 weight of 12593706 cycles is about 1511860711 (120.05/cycle)
  165. Sun Jun 21 23:33:49 2026 distribution of cycle lengths:
  166. Sun Jun 21 23:33:49 2026 1 relations: 846412
  167. Sun Jun 21 23:33:49 2026 2 relations: 915195
  168. Sun Jun 21 23:33:49 2026 3 relations: 934001
  169. Sun Jun 21 23:33:49 2026 4 relations: 899771
  170. Sun Jun 21 23:33:49 2026 5 relations: 887115
  171. Sun Jun 21 23:33:49 2026 6 relations: 848222
  172. Sun Jun 21 23:33:49 2026 7 relations: 818197
  173. Sun Jun 21 23:33:49 2026 8 relations: 773922
  174. Sun Jun 21 23:33:49 2026 9 relations: 734174
  175. Sun Jun 21 23:33:49 2026 10+ relations: 4936697
  176. Sun Jun 21 23:33:49 2026 heaviest cycle: 28 relations
  177. Sun Jun 21 23:33:56 2026 commencing cycle optimization
  178. Sun Jun 21 23:34:49 2026 start with 110013303 relations
  179. Sun Jun 21 23:41:31 2026 pruned 4328008 relations
  180. Sun Jun 21 23:41:33 2026 memory use: 3052.3 MB
  181. Sun Jun 21 23:41:33 2026 distribution of cycle lengths:
  182. Sun Jun 21 23:41:33 2026 1 relations: 846412
  183. Sun Jun 21 23:41:33 2026 2 relations: 938137
  184. Sun Jun 21 23:41:33 2026 3 relations: 971167
  185. Sun Jun 21 23:41:33 2026 4 relations: 932235
  186. Sun Jun 21 23:41:33 2026 5 relations: 922883
  187. Sun Jun 21 23:41:33 2026 6 relations: 880525
  188. Sun Jun 21 23:41:33 2026 7 relations: 850942
  189. Sun Jun 21 23:41:33 2026 8 relations: 803432
  190. Sun Jun 21 23:41:33 2026 9 relations: 759714
  191. Sun Jun 21 23:41:33 2026 10+ relations: 4688259
  192. Sun Jun 21 23:41:33 2026 heaviest cycle: 28 relations
  193. Sun Jun 21 23:42:21 2026 trying target density 140
  194. Sun Jun 21 23:42:26 2026 relations with 0 large ideals: 4362
  195. Sun Jun 21 23:42:26 2026 relations with 1 large ideals: 31350
  196. Sun Jun 21 23:42:26 2026 relations with 2 large ideals: 419628
  197. Sun Jun 21 23:42:26 2026 relations with 3 large ideals: 2338133
  198. Sun Jun 21 23:42:26 2026 relations with 4 large ideals: 6956156
  199. Sun Jun 21 23:42:26 2026 relations with 5 large ideals: 12110036
  200. Sun Jun 21 23:42:26 2026 relations with 6 large ideals: 12933176
  201. Sun Jun 21 23:42:26 2026 relations with 7+ large ideals: 12537616
  202. Sun Jun 21 23:42:26 2026 commencing 2-way merge
  203. Sun Jun 21 23:43:01 2026 reduce to 28767903 relation sets and 27399506 unique ideals
  204. Sun Jun 21 23:43:01 2026 commencing full merge
  205. Mon Jun 22 00:15:53 2026 memory use: 1281.2 MB
  206. Mon Jun 22 00:15:53 2026 found 134162 cycles, need 6423638
  207. Mon Jun 22 00:15:53 2026 too few cycles, matrix probably cannot build
  208. Mon Jun 22 00:15:56 2026 RelProcTime: 9344
  209. Mon Jun 22 00:15:56 2026
  210. Mon Jun 22 00:15:56 2026 commencing linear algebra
  211. Mon Jun 22 00:15:56 2026 using VBITS=64
  212. Mon Jun 22 00:15:56 2026 building matrices for all densities
  213. Mon Jun 22 00:15:56 2026 found 2 density files
  214. Mon Jun 22 00:15:56 2026 building matrix for density 100
  215. Mon Jun 22 00:15:58 2026 read 13379706 cycles
  216. Mon Jun 22 00:16:34 2026 cycles contain 46347676 unique relations
  217. Mon Jun 22 00:18:18 2026 read 46347676 relations
  218. Mon Jun 22 00:18:42 2026 using 20 quadratic characters above 4294917295
  219. Mon Jun 22 00:19:08 2026 building initial matrix
  220. Mon Jun 22 00:33:07 2026 memory use: 6327.7 MB
  221. Mon Jun 22 00:33:15 2026 read 13379706 cycles
  222. Mon Jun 22 00:33:17 2026 matrix is 13379524 x 13379706 (5449.3 MB) with weight 1677875607 (125.40/col)
  223. Mon Jun 22 00:33:17 2026 sparse part has weight 1267933704 (94.77/col)
  224. Mon Jun 22 00:37:04 2026 filtering completed in 2 passes
  225. Mon Jun 22 00:37:07 2026 matrix is 13375693 x 13375875 (5448.9 MB) with weight 1677694656 (125.43/col)
  226. Mon Jun 22 00:37:07 2026 sparse part has weight 1267876671 (94.79/col)
  227. Mon Jun 22 00:37:58 2026 building matrix for density 120
  228. Mon Jun 22 00:37:59 2026 read 12593706 cycles
  229. Mon Jun 22 00:38:31 2026 cycles contain 46348739 unique relations
  230. Mon Jun 22 00:40:05 2026 read 46348739 relations
  231. Mon Jun 22 00:40:28 2026 using 20 quadratic characters above 4294917295
  232. Mon Jun 22 00:40:55 2026 building initial matrix
  233. Mon Jun 22 00:56:29 2026 memory use: 6346.4 MB
  234. Mon Jun 22 00:56:39 2026 read 12593706 cycles
  235. Mon Jun 22 00:56:42 2026 matrix is 12593528 x 12593706 (5966.3 MB) with weight 1820221715 (144.53/col)
  236. Mon Jun 22 00:56:42 2026 sparse part has weight 1412903702 (112.19/col)
  237. Mon Jun 22 01:00:19 2026 filtering completed in 2 passes
  238. Mon Jun 22 01:00:24 2026 matrix is 12592688 x 12592866 (5966.2 MB) with weight 1820178209 (144.54/col)
  239. Mon Jun 22 01:00:24 2026 sparse part has weight 1412889734 (112.20/col)
  240. Mon Jun 22 01:01:22 2026 BLanczosTime: 2726
  241. Mon Jun 22 01:01:22 2026 elapsed time 03:21:10
  242. Mon Jun 22 12:00:57 2026
  243. Mon Jun 22 12:00:57 2026
  244. Mon Jun 22 12:00:57 2026 Msieve v. 1.54 (SVN unknown)
  245. Mon Jun 22 12:00:57 2026 random seeds: 1f57c157 d56a1c72
  246. Mon Jun 22 12:00:57 2026 Using 8 OpenMP threads
  247. Mon Jun 22 12:00:57 2026 factoring 8205395343655521880643993587974293856486259359911492803669648537324842730049198821094551930481298035087624355729244100412387474212482355244705855142620356395941332186864257 (172 digits)
  248. Mon Jun 22 12:00:59 2026 no P-1/P+1/ECM available, skipping
  249. Mon Jun 22 12:00:59 2026 commencing number field sieve (172-digit input)
  250. Mon Jun 22 12:00:59 2026 R0: -3522976980892777143951604070074083
  251. Mon Jun 22 12:00:59 2026 R1: 773747030297326931627
  252. Mon Jun 22 12:00:59 2026 A0: 709128678053672171830207236943534899147140
  253. Mon Jun 22 12:00:59 2026 A1: -31141578392142399539902147652711204
  254. Mon Jun 22 12:00:59 2026 A2: -2994177171408325754997444061
  255. Mon Jun 22 12:00:59 2026 A3: -11300916823197922084
  256. Mon Jun 22 12:00:59 2026 A4: -207358065196
  257. Mon Jun 22 12:00:59 2026 A5: 15120
  258. Mon Jun 22 12:00:59 2026 skew 35302273.27, size 1.134e-16, alpha -7.021, combined = 3.175e-13 rroots = 3
  259. Mon Jun 22 12:00:59 2026
  260. Mon Jun 22 12:00:59 2026 commencing linear algebra
  261. Mon Jun 22 12:00:59 2026 using VBITS=256
  262. Mon Jun 22 12:00:59 2026 skipping matrix build
  263. Mon Jun 22 12:01:08 2026 matrix starts at (0, 0)
  264. Mon Jun 22 12:01:10 2026 matrix is 12592688 x 12592866 (5966.2 MB) with weight 1820178209 (144.54/col)
  265. Mon Jun 22 12:01:10 2026 sparse part has weight 1412889734 (112.20/col)
  266. Mon Jun 22 12:01:10 2026 saving the first 240 matrix rows for later
  267. Mon Jun 22 12:01:15 2026 matrix includes 256 packed rows
  268. Mon Jun 22 12:01:21 2026 matrix is 12592448 x 12592866 (5388.8 MB) with weight 1290677573 (102.49/col)
  269. Mon Jun 22 12:01:21 2026 sparse part has weight 1211164316 (96.18/col)
  270. Mon Jun 22 12:01:21 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  271. Mon Jun 22 12:01:21 2026 selected card has CUDA arch 7.0
  272. Mon Jun 22 12:01:22 2026 nonzeros per matrix block: 256000000
  273. Mon Jun 22 12:05:07 2026 commencing Lanczos iteration
  274. Mon Jun 22 12:05:09 2026 memory use: 12795.3 MB
  275. Mon Jun 22 12:06:20 2026 linear algebra at 0.2%, ETA 7h58m
  276. Mon Jun 22 12:08:05 2026 checking every 20000 dimensions, checkpointing every 1600000 dimensions
  277. Mon Jun 22 20:02:33 2026 lanczos halted after 49338 iterations (dim = 12592444)
  278. Mon Jun 22 20:04:07 2026 recovered 29 nontrivial dependencies
  279. Mon Jun 22 20:04:07 2026 BLanczosTime: 28988
  280. Mon Jun 22 20:04:07 2026 elapsed time 08:03:10
  281. Mon Jun 22 16:25:37 2026
  282. Mon Jun 22 16:25:37 2026
  283. Mon Jun 22 16:25:37 2026 Msieve v. 1.54 (SVN unknown)
  284. Mon Jun 22 16:25:37 2026 random seeds: f8566168 cb3b687c
  285. Mon Jun 22 16:25:37 2026 Using 8 OpenMP threads
  286. Mon Jun 22 16:25:37 2026 factoring 8205395343655521880643993587974293856486259359911492803669648537324842730049198821094551930481298035087624355729244100412387474212482355244705855142620356395941332186864257 (172 digits)
  287. Mon Jun 22 16:25:38 2026 no P-1/P+1/ECM available, skipping
  288. Mon Jun 22 16:25:38 2026 commencing number field sieve (172-digit input)
  289. Mon Jun 22 16:25:38 2026 R0: -3522976980892777143951604070074083
  290. Mon Jun 22 16:25:38 2026 R1: 773747030297326931627
  291. Mon Jun 22 16:25:38 2026 A0: 709128678053672171830207236943534899147140
  292. Mon Jun 22 16:25:38 2026 A1: -31141578392142399539902147652711204
  293. Mon Jun 22 16:25:38 2026 A2: -2994177171408325754997444061
  294. Mon Jun 22 16:25:38 2026 A3: -11300916823197922084
  295. Mon Jun 22 16:25:38 2026 A4: -207358065196
  296. Mon Jun 22 16:25:38 2026 A5: 15120
  297. Mon Jun 22 16:25:38 2026 skew 35302273.27, size 1.134e-16, alpha -7.021, combined = 3.175e-13 rroots = 3
  298. Mon Jun 22 16:25:38 2026
  299. Mon Jun 22 16:25:38 2026 commencing square root phase
  300. Mon Jun 22 16:25:38 2026 reading relations for dependency 1
  301. Mon Jun 22 16:25:44 2026 read 6297230 cycles
  302. Mon Jun 22 16:26:12 2026 cycles contain 23178324 unique relations
  303. Mon Jun 22 16:38:34 2026 read 23178324 relations
  304. Mon Jun 22 16:41:39 2026 multiplying 23178324 relations
  305. Mon Jun 22 16:46:06 2026 multiply complete, coefficients have about 1200.55 million bits
  306. Mon Jun 22 16:46:12 2026 initial square root is modulo 242911
  307. Mon Jun 22 16:57:00 2026 sqrtTime: 1882
  308. Mon Jun 22 16:57:00 2026 p72 factor: 706320563634059761517838002327006172969980316730866766549619621370559993
  309. Mon Jun 22 16:57:00 2026 p101 factor: 11617098193259860354223242116834379697107533894855027569091398893727666681538609297480702419286082249
  310. Mon Jun 22 16:57:00 2026 elapsed time 00:31:23
  311.  
Tags: math
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