kyleaskine

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Aug 10th, 2026
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  1. Mon Aug 10 14:41:27 2026
  2. Mon Aug 10 14:41:27 2026
  3. Mon Aug 10 14:41:27 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 10 14:41:27 2026 random seeds: f49a0424 5b07e06f
  5. Mon Aug 10 14:41:27 2026 Using 8 OpenMP threads
  6. Mon Aug 10 14:41:27 2026 factoring 33825859689322463848437209125232712766369958150126374394632292497382968103956369400770966227285977939240346390028166183161313293416779769117840050116335145956802482286554268016561046207638851292176856886730457495418244264191348366980007213547253 (245 digits)
  7. Mon Aug 10 14:41:27 2026 no P-1/P+1/ECM available, skipping
  8. Mon Aug 10 14:41:27 2026 commencing number field sieve (245-digit input)
  9. Mon Aug 10 14:41:27 2026 R0: 187897509291552410735082322590924497329562
  10. Mon Aug 10 14:41:27 2026 R1: -433471463064816310331
  11. Mon Aug 10 14:41:27 2026 A0: -1
  12. Mon Aug 10 14:41:27 2026 A1: 3
  13. Mon Aug 10 14:41:27 2026 A2: 6
  14. Mon Aug 10 14:41:27 2026 A3: -4
  15. Mon Aug 10 14:41:27 2026 A4: -5
  16. Mon Aug 10 14:41:27 2026 A5: 1
  17. Mon Aug 10 14:41:27 2026 A6: 1
  18. Mon Aug 10 14:41:27 2026 skew 1.38, size 3.632e-12, alpha 3.126, combined = 2.975e-13 rroots = 6
  19. Mon Aug 10 14:41:27 2026
  20. Mon Aug 10 14:41:27 2026 commencing relation filtering
  21. Mon Aug 10 14:41:27 2026 setting 3 target densities:Mon Aug 10 14:41:27 2026 90Mon Aug 10 14:41:27 2026 110Mon Aug 10 14:41:27 2026 130Mon Aug 10 14:41:27 2026
  22. Mon Aug 10 14:41:27 2026 estimated available RAM is 78540.1 MB
  23. Mon Aug 10 14:41:27 2026 commencing duplicate removal, pass 1
  24. Mon Aug 10 14:41:51 2026 error -1 reading relation 23071773
  25. Mon Aug 10 14:41:54 2026 error -1 reading relation 26035270
  26. Mon Aug 10 14:42:24 2026 error -1 reading relation 63741411
  27. Mon Aug 10 14:42:38 2026 error -1 reading relation 82400896
  28. Mon Aug 10 14:42:39 2026 error -1 reading relation 83073629
  29. Mon Aug 10 14:42:45 2026 error -1 reading relation 90408034
  30. Mon Aug 10 14:43:16 2026 error -1 reading relation 130157963
  31. Mon Aug 10 14:43:16 2026 error -1 reading relation 130160662
  32. Mon Aug 10 14:43:16 2026 error -1 reading relation 130181982
  33. Mon Aug 10 14:43:16 2026 error -1 reading relation 130266583
  34. Mon Aug 10 14:43:19 2026 error -1 reading relation 134255653
  35. Mon Aug 10 14:43:29 2026 error -1 reading relation 148661331
  36. Mon Aug 10 14:43:52 2026 error -1 reading relation 178438964
  37. Mon Aug 10 14:43:58 2026 error -1 reading relation 188642856
  38. Mon Aug 10 14:44:09 2026 error -1 reading relation 202239187
  39. Mon Aug 10 14:44:15 2026 error -1 reading relation 210644298
  40. Mon Aug 10 14:44:18 2026 error -1 reading relation 214751167
  41. Mon Aug 10 14:44:38 2026 error -1 reading relation 241086252
  42. Mon Aug 10 14:44:49 2026 error -1 reading relation 254861686
  43. Mon Aug 10 14:44:49 2026 error -1 reading relation 254880596
  44. Mon Aug 10 14:44:49 2026 error -1 reading relation 254888959
  45. Mon Aug 10 14:44:50 2026 error -1 reading relation 255601272
  46. Mon Aug 10 14:44:54 2026 error -1 reading relation 260317037
  47. Mon Aug 10 14:44:59 2026 error -1 reading relation 266816855
  48. Mon Aug 10 14:44:59 2026 error -11 reading relation 269148671
  49. Mon Aug 10 14:45:02 2026 error -1 reading relation 272854696
  50. Mon Aug 10 14:45:10 2026 error -1 reading relation 283461903
  51. Mon Aug 10 14:45:11 2026 error -1 reading relation 283618656
  52. Mon Aug 10 14:45:12 2026 error -1 reading relation 285663283
  53. Mon Aug 10 14:45:14 2026 error -1 reading relation 287689269
  54. Mon Aug 10 14:45:14 2026 error -1 reading relation 287692004
  55. Mon Aug 10 14:45:18 2026 error -1 reading relation 293397097
  56. Mon Aug 10 14:45:24 2026 error -1 reading relation 300608784
  57. Mon Aug 10 14:45:29 2026 error -1 reading relation 308980282
  58. Mon Aug 10 14:45:32 2026 error -1 reading relation 311320631
  59. Mon Aug 10 14:45:33 2026 skipped 111 relations with b > 2^32
  60. Mon Aug 10 14:45:33 2026 skipped 378 malformed relations
  61. Mon Aug 10 14:45:33 2026 found 52277814 hash collisions in 312476010 relations
  62. Mon Aug 10 14:45:35 2026 added 2438358 free relations
  63. Mon Aug 10 14:45:35 2026 commencing duplicate removal, pass 2
  64. Mon Aug 10 14:47:33 2026 found 50864333 duplicates and 264050035 unique relations
  65. Mon Aug 10 14:47:33 2026 memory use: 1705.5 MB
  66. Mon Aug 10 14:47:33 2026 reading ideals above 720000
  67. Mon Aug 10 14:47:33 2026 commencing singleton removal, initial pass
  68. Mon Aug 10 14:56:51 2026 memory use: 6024.0 MB
  69. Mon Aug 10 14:56:52 2026 reading all ideals from disk
  70. Mon Aug 10 14:57:16 2026 memory use: 12491.5 MB
  71. Mon Aug 10 14:58:07 2026 keeping 246117450 ideals with weight <= 200, target excess is 1305214
  72. Mon Aug 10 14:58:28 2026 commencing in-memory singleton removal
  73. Mon Aug 10 14:58:32 2026 begin with 264050035 relations and 246117450 unique ideals
  74. Mon Aug 10 14:58:57 2026 reduce to 160834975 relations and 131637986 ideals in 16 passes
  75. Mon Aug 10 14:58:57 2026 max relations containing the same ideal: 154
  76. Mon Aug 10 14:59:37 2026 removing 12593660 relations and 10593660 ideals in 2000000 cliques
  77. Mon Aug 10 14:59:40 2026 commencing in-memory singleton removal
  78. Mon Aug 10 14:59:42 2026 begin with 148241315 relations and 131637986 unique ideals
  79. Mon Aug 10 14:59:53 2026 reduce to 147440329 relations and 120229736 ideals in 10 passes
  80. Mon Aug 10 14:59:53 2026 max relations containing the same ideal: 145
  81. Mon Aug 10 15:00:28 2026 removing 9531106 relations and 7531106 ideals in 2000000 cliques
  82. Mon Aug 10 15:00:30 2026 commencing in-memory singleton removal
  83. Mon Aug 10 15:00:32 2026 begin with 137909223 relations and 120229736 unique ideals
  84. Mon Aug 10 15:00:42 2026 reduce to 137390539 relations and 112172421 ideals in 9 passes
  85. Mon Aug 10 15:00:42 2026 max relations containing the same ideal: 138
  86. Mon Aug 10 15:01:15 2026 removing 8587850 relations and 6587850 ideals in 2000000 cliques
  87. Mon Aug 10 15:01:16 2026 commencing in-memory singleton removal
  88. Mon Aug 10 15:01:17 2026 begin with 128802689 relations and 112172421 unique ideals
  89. Mon Aug 10 15:01:25 2026 reduce to 128351317 relations and 105126450 ideals in 7 passes
  90. Mon Aug 10 15:01:25 2026 max relations containing the same ideal: 133
  91. Mon Aug 10 15:01:57 2026 removing 8086232 relations and 6086232 ideals in 2000000 cliques
  92. Mon Aug 10 15:01:59 2026 commencing in-memory singleton removal
  93. Mon Aug 10 15:02:00 2026 begin with 120265085 relations and 105126450 unique ideals
  94. Mon Aug 10 15:02:08 2026 reduce to 119838812 relations and 98607483 ideals in 8 passes
  95. Mon Aug 10 15:02:08 2026 max relations containing the same ideal: 127
  96. Mon Aug 10 15:02:38 2026 removing 7780055 relations and 5780055 ideals in 2000000 cliques
  97. Mon Aug 10 15:02:40 2026 commencing in-memory singleton removal
  98. Mon Aug 10 15:02:41 2026 begin with 112058757 relations and 98607483 unique ideals
  99. Mon Aug 10 15:02:48 2026 reduce to 111644833 relations and 92406990 ideals in 7 passes
  100. Mon Aug 10 15:02:48 2026 max relations containing the same ideal: 119
  101. Mon Aug 10 15:03:15 2026 removing 7568999 relations and 5568999 ideals in 2000000 cliques
  102. Mon Aug 10 15:03:17 2026 commencing in-memory singleton removal
  103. Mon Aug 10 15:03:17 2026 begin with 104075834 relations and 92406990 unique ideals
  104. Mon Aug 10 15:03:22 2026 reduce to 103660724 relations and 86416054 ideals in 7 passes
  105. Mon Aug 10 15:03:22 2026 max relations containing the same ideal: 114
  106. Mon Aug 10 15:03:49 2026 removing 7427891 relations and 5427891 ideals in 2000000 cliques
  107. Mon Aug 10 15:03:49 2026 commencing in-memory singleton removal
  108. Mon Aug 10 15:03:50 2026 begin with 96232833 relations and 86416054 unique ideals
  109. Mon Aug 10 15:03:56 2026 reduce to 95807437 relations and 80555468 ideals in 8 passes
  110. Mon Aug 10 15:03:56 2026 max relations containing the same ideal: 108
  111. Mon Aug 10 15:04:19 2026 removing 7328748 relations and 5328748 ideals in 2000000 cliques
  112. Mon Aug 10 15:04:21 2026 commencing in-memory singleton removal
  113. Mon Aug 10 15:04:22 2026 begin with 88478689 relations and 80555468 unique ideals
  114. Mon Aug 10 15:04:27 2026 reduce to 88038750 relations and 74778454 ideals in 7 passes
  115. Mon Aug 10 15:04:27 2026 max relations containing the same ideal: 99
  116. Mon Aug 10 15:04:49 2026 removing 7264009 relations and 5264009 ideals in 2000000 cliques
  117. Mon Aug 10 15:04:50 2026 commencing in-memory singleton removal
  118. Mon Aug 10 15:04:51 2026 begin with 80774741 relations and 74778454 unique ideals
  119. Mon Aug 10 15:04:55 2026 reduce to 80308867 relations and 69039101 ideals in 7 passes
  120. Mon Aug 10 15:04:55 2026 max relations containing the same ideal: 94
  121. Mon Aug 10 15:05:16 2026 removing 7226348 relations and 5226348 ideals in 2000000 cliques
  122. Mon Aug 10 15:05:18 2026 commencing in-memory singleton removal
  123. Mon Aug 10 15:05:19 2026 begin with 73082519 relations and 69039101 unique ideals
  124. Mon Aug 10 15:05:21 2026 reduce to 72585390 relations and 63304424 ideals in 8 passes
  125. Mon Aug 10 15:05:21 2026 max relations containing the same ideal: 88
  126. Mon Aug 10 15:05:41 2026 removing 7211891 relations and 5211891 ideals in 2000000 cliques
  127. Mon Aug 10 15:05:43 2026 commencing in-memory singleton removal
  128. Mon Aug 10 15:05:44 2026 begin with 65373499 relations and 63304424 unique ideals
  129. Mon Aug 10 15:05:47 2026 reduce to 64834423 relations and 57540019 ideals in 7 passes
  130. Mon Aug 10 15:05:47 2026 max relations containing the same ideal: 82
  131. Mon Aug 10 15:06:03 2026 removing 7198989 relations and 5198989 ideals in 2000000 cliques
  132. Mon Aug 10 15:06:04 2026 commencing in-memory singleton removal
  133. Mon Aug 10 15:06:05 2026 begin with 57635434 relations and 57540019 unique ideals
  134. Mon Aug 10 15:06:08 2026 reduce to 57044056 relations and 51733351 ideals in 9 passes
  135. Mon Aug 10 15:06:08 2026 max relations containing the same ideal: 75
  136. Mon Aug 10 15:06:22 2026 removing 7193844 relations and 5193844 ideals in 2000000 cliques
  137. Mon Aug 10 15:06:23 2026 commencing in-memory singleton removal
  138. Mon Aug 10 15:06:24 2026 begin with 49850212 relations and 51733351 unique ideals
  139. Mon Aug 10 15:06:27 2026 reduce to 49193307 relations and 45862463 ideals in 10 passes
  140. Mon Aug 10 15:06:27 2026 max relations containing the same ideal: 71
  141. Mon Aug 10 15:06:41 2026 removing 6648437 relations and 4831642 ideals in 1816795 cliques
  142. Mon Aug 10 15:06:42 2026 commencing in-memory singleton removal
  143. Mon Aug 10 15:06:43 2026 begin with 42544870 relations and 45862463 unique ideals
  144. Mon Aug 10 15:06:45 2026 reduce to 41913155 relations and 40378839 ideals in 8 passes
  145. Mon Aug 10 15:06:45 2026 max relations containing the same ideal: 62
  146. Mon Aug 10 15:06:55 2026 removing 154684 relations and 134417 ideals in 20267 cliques
  147. Mon Aug 10 15:06:55 2026 commencing in-memory singleton removal
  148. Mon Aug 10 15:06:56 2026 begin with 41758471 relations and 40378839 unique ideals
  149. Mon Aug 10 15:06:57 2026 reduce to 41758131 relations and 40244081 ideals in 4 passes
  150. Mon Aug 10 15:06:57 2026 max relations containing the same ideal: 62
  151. Mon Aug 10 15:06:58 2026 trying target density 90
  152. Mon Aug 10 15:07:00 2026 relations with 0 large ideals: 93665
  153. Mon Aug 10 15:07:00 2026 relations with 1 large ideals: 35628
  154. Mon Aug 10 15:07:00 2026 relations with 2 large ideals: 423374
  155. Mon Aug 10 15:07:00 2026 relations with 3 large ideals: 2256876
  156. Mon Aug 10 15:07:00 2026 relations with 4 large ideals: 6404421
  157. Mon Aug 10 15:07:00 2026 relations with 5 large ideals: 10631608
  158. Mon Aug 10 15:07:00 2026 relations with 6 large ideals: 10707812
  159. Mon Aug 10 15:07:00 2026 relations with 7+ large ideals: 11204747
  160. Mon Aug 10 15:07:00 2026 commencing 2-way merge
  161. Mon Aug 10 15:07:18 2026 reduce to 27119725 relation sets and 25605675 unique ideals
  162. Mon Aug 10 15:07:18 2026 commencing full merge
  163. Mon Aug 10 15:13:43 2026 memory use: 3388.1 MB
  164. Mon Aug 10 15:13:45 2026 found 13434981 cycles, need 13245875
  165. Mon Aug 10 15:13:48 2026 weight of 13245875 cycles is about 1192250883 (90.01/cycle)
  166. Mon Aug 10 15:13:48 2026 distribution of cycle lengths:
  167. Mon Aug 10 15:13:48 2026 1 relations: 984926
  168. Mon Aug 10 15:13:48 2026 2 relations: 1166250
  169. Mon Aug 10 15:13:48 2026 3 relations: 1227080
  170. Mon Aug 10 15:13:48 2026 4 relations: 1202988
  171. Mon Aug 10 15:13:48 2026 5 relations: 1169244
  172. Mon Aug 10 15:13:48 2026 6 relations: 1107068
  173. Mon Aug 10 15:13:48 2026 7 relations: 1033759
  174. Mon Aug 10 15:13:48 2026 8 relations: 943540
  175. Mon Aug 10 15:13:48 2026 9 relations: 836535
  176. Mon Aug 10 15:13:48 2026 10+ relations: 3574485
  177. Mon Aug 10 15:13:48 2026 heaviest cycle: 25 relations
  178. Mon Aug 10 15:13:51 2026 commencing cycle optimization
  179. Mon Aug 10 15:14:08 2026 start with 93223925 relations
  180. Mon Aug 10 15:16:20 2026 pruned 3305243 relations
  181. Mon Aug 10 15:16:21 2026 memory use: 2682.5 MB
  182. Mon Aug 10 15:16:21 2026 distribution of cycle lengths:
  183. Mon Aug 10 15:16:21 2026 1 relations: 984926
  184. Mon Aug 10 15:16:21 2026 2 relations: 1189392
  185. Mon Aug 10 15:16:21 2026 3 relations: 1270859
  186. Mon Aug 10 15:16:21 2026 4 relations: 1245562
  187. Mon Aug 10 15:16:21 2026 5 relations: 1219248
  188. Mon Aug 10 15:16:21 2026 6 relations: 1148887
  189. Mon Aug 10 15:16:21 2026 7 relations: 1074357
  190. Mon Aug 10 15:16:21 2026 8 relations: 971675
  191. Mon Aug 10 15:16:21 2026 9 relations: 856512
  192. Mon Aug 10 15:16:21 2026 10+ relations: 3284457
  193. Mon Aug 10 15:16:21 2026 heaviest cycle: 25 relations
  194. Mon Aug 10 15:16:37 2026 trying target density 110
  195. Mon Aug 10 15:16:40 2026 relations with 0 large ideals: 93665
  196. Mon Aug 10 15:16:40 2026 relations with 1 large ideals: 35628
  197. Mon Aug 10 15:16:40 2026 relations with 2 large ideals: 423374
  198. Mon Aug 10 15:16:40 2026 relations with 3 large ideals: 2256876
  199. Mon Aug 10 15:16:40 2026 relations with 4 large ideals: 6404421
  200. Mon Aug 10 15:16:40 2026 relations with 5 large ideals: 10631608
  201. Mon Aug 10 15:16:40 2026 relations with 6 large ideals: 10707812
  202. Mon Aug 10 15:16:40 2026 relations with 7+ large ideals: 11204747
  203. Mon Aug 10 15:16:40 2026 commencing 2-way merge
  204. Mon Aug 10 15:16:56 2026 reduce to 27119725 relation sets and 25605675 unique ideals
  205. Mon Aug 10 15:16:56 2026 commencing full merge
  206. Mon Aug 10 15:24:50 2026 memory use: 3474.7 MB
  207. Mon Aug 10 15:24:52 2026 found 12552677 cycles, need 12443875
  208. Mon Aug 10 15:24:55 2026 weight of 12443875 cycles is about 1369277526 (110.04/cycle)
  209. Mon Aug 10 15:24:55 2026 distribution of cycle lengths:
  210. Mon Aug 10 15:24:55 2026 1 relations: 645116
  211. Mon Aug 10 15:24:55 2026 2 relations: 828584
  212. Mon Aug 10 15:24:55 2026 3 relations: 925400
  213. Mon Aug 10 15:24:55 2026 4 relations: 939471
  214. Mon Aug 10 15:24:55 2026 5 relations: 939479
  215. Mon Aug 10 15:24:55 2026 6 relations: 913549
  216. Mon Aug 10 15:24:55 2026 7 relations: 881090
  217. Mon Aug 10 15:24:55 2026 8 relations: 836042
  218. Mon Aug 10 15:24:55 2026 9 relations: 779668
  219. Mon Aug 10 15:24:55 2026 10+ relations: 4755476
  220. Mon Aug 10 15:24:55 2026 heaviest cycle: 28 relations
  221. Mon Aug 10 15:24:58 2026 commencing cycle optimization
  222. Mon Aug 10 15:25:17 2026 start with 106946703 relations
  223. Mon Aug 10 15:28:17 2026 pruned 4757764 relations
  224. Mon Aug 10 15:28:17 2026 memory use: 2822.3 MB
  225. Mon Aug 10 15:28:17 2026 distribution of cycle lengths:
  226. Mon Aug 10 15:28:17 2026 1 relations: 645116
  227. Mon Aug 10 15:28:17 2026 2 relations: 846800
  228. Mon Aug 10 15:28:17 2026 3 relations: 961519
  229. Mon Aug 10 15:28:17 2026 4 relations: 977531
  230. Mon Aug 10 15:28:17 2026 5 relations: 986176
  231. Mon Aug 10 15:28:17 2026 6 relations: 957275
  232. Mon Aug 10 15:28:17 2026 7 relations: 926308
  233. Mon Aug 10 15:28:17 2026 8 relations: 874428
  234. Mon Aug 10 15:28:17 2026 9 relations: 814824
  235. Mon Aug 10 15:28:17 2026 10+ relations: 4453898
  236. Mon Aug 10 15:28:17 2026 heaviest cycle: 28 relations
  237. Mon Aug 10 15:28:41 2026 trying target density 130
  238. Mon Aug 10 15:28:42 2026 relations with 0 large ideals: 93665
  239. Mon Aug 10 15:28:42 2026 relations with 1 large ideals: 35628
  240. Mon Aug 10 15:28:42 2026 relations with 2 large ideals: 423374
  241. Mon Aug 10 15:28:42 2026 relations with 3 large ideals: 2256876
  242. Mon Aug 10 15:28:42 2026 relations with 4 large ideals: 6404421
  243. Mon Aug 10 15:28:42 2026 relations with 5 large ideals: 10631608
  244. Mon Aug 10 15:28:42 2026 relations with 6 large ideals: 10707812
  245. Mon Aug 10 15:28:42 2026 relations with 7+ large ideals: 11204747
  246. Mon Aug 10 15:28:42 2026 commencing 2-way merge
  247. Mon Aug 10 15:29:13 2026 reduce to 27119725 relation sets and 25605675 unique ideals
  248. Mon Aug 10 15:29:13 2026 commencing full merge
  249. Mon Aug 10 15:45:13 2026 memory use: 1196.5 MB
  250. Mon Aug 10 15:45:13 2026 found 131623 cycles, need 6107414
  251. Mon Aug 10 15:45:13 2026 too few cycles, matrix probably cannot build
  252. Mon Aug 10 15:45:18 2026 RelProcTime: 3831
  253. Mon Aug 10 15:45:18 2026
  254. Mon Aug 10 15:45:18 2026 commencing linear algebra
  255. Mon Aug 10 15:45:18 2026 using VBITS=256
  256. Mon Aug 10 15:45:18 2026 building matrices for all densities
  257. Mon Aug 10 15:45:18 2026 found 2 density files
  258. Mon Aug 10 15:45:18 2026 building matrix for density 90
  259. Mon Aug 10 15:45:22 2026 read 13245875 cycles
  260. Mon Aug 10 15:45:41 2026 cycles contain 40879922 unique relations
  261. Mon Aug 10 15:50:14 2026 read 40879922 relations
  262. Mon Aug 10 15:50:24 2026 using 20 quadratic characters above 4294917295
  263. Mon Aug 10 15:50:36 2026 building initial matrix
  264. Mon Aug 10 15:55:43 2026 memory use: 5001.9 MB
  265. Mon Aug 10 15:55:48 2026 read 13245875 cycles
  266. Mon Aug 10 15:55:49 2026 matrix is 13245696 x 13245875 (4841.8 MB) with weight 1377973701 (104.03/col)
  267. Mon Aug 10 15:55:49 2026 sparse part has weight 1136802946 (85.82/col)
  268. Mon Aug 10 15:57:14 2026 filtering completed in 2 passes
  269. Mon Aug 10 15:57:16 2026 matrix is 13243603 x 13243768 (4841.7 MB) with weight 1377905453 (104.04/col)
  270. Mon Aug 10 15:57:16 2026 sparse part has weight 1136772513 (85.83/col)
  271. Mon Aug 10 15:57:34 2026 building matrix for density 110
  272. Mon Aug 10 15:57:35 2026 read 12443875 cycles
  273. Mon Aug 10 15:57:48 2026 cycles contain 40889047 unique relations
  274. Mon Aug 10 15:58:37 2026 read 40889047 relations
  275. Mon Aug 10 15:58:47 2026 using 20 quadratic characters above 4294917295
  276. Mon Aug 10 15:59:01 2026 building initial matrix
  277. Mon Aug 10 16:04:53 2026 memory use: 5025.2 MB
  278. Mon Aug 10 16:04:57 2026 read 12443875 cycles
  279. Mon Aug 10 16:04:59 2026 matrix is 12443697 x 12443875 (5383.8 MB) with weight 1524180818 (122.48/col)
  280. Mon Aug 10 16:04:59 2026 sparse part has weight 1286884680 (103.42/col)
  281. Mon Aug 10 16:06:17 2026 filtering completed in 2 passes
  282. Mon Aug 10 16:06:19 2026 matrix is 12443016 x 12443180 (5383.7 MB) with weight 1524157785 (122.49/col)
  283. Mon Aug 10 16:06:19 2026 sparse part has weight 1286874865 (103.42/col)
  284. Mon Aug 10 16:06:39 2026 BLanczosTime: 1281
  285. Mon Aug 10 16:06:39 2026 elapsed time 01:25:12
  286. Mon Aug 10 20:56:33 2026
  287. Mon Aug 10 20:56:33 2026
  288. Mon Aug 10 20:56:33 2026 Msieve v. 1.54 (SVN unknown)
  289. Mon Aug 10 20:56:33 2026 random seeds: b1f7d31e aa2d71f2
  290. Mon Aug 10 20:56:33 2026 Using 8 OpenMP threads
  291. Mon Aug 10 20:56:33 2026 factoring 33825859689322463848437209125232712766369958150126374394632292497382968103956369400770966227285977939240346390028166183161313293416779769117840050116335145956802482286554268016561046207638851292176856886730457495418244264191348366980007213547253 (245 digits)
  292. Mon Aug 10 20:56:35 2026 no P-1/P+1/ECM available, skipping
  293. Mon Aug 10 20:56:35 2026 commencing number field sieve (245-digit input)
  294. Mon Aug 10 20:56:35 2026 R0: 187897509291552410735082322590924497329562
  295. Mon Aug 10 20:56:35 2026 R1: -433471463064816310331
  296. Mon Aug 10 20:56:35 2026 A0: -1
  297. Mon Aug 10 20:56:35 2026 A1: 3
  298. Mon Aug 10 20:56:35 2026 A2: 6
  299. Mon Aug 10 20:56:35 2026 A3: -4
  300. Mon Aug 10 20:56:35 2026 A4: -5
  301. Mon Aug 10 20:56:35 2026 A5: 1
  302. Mon Aug 10 20:56:35 2026 A6: 1
  303. Mon Aug 10 20:56:35 2026 skew 1.38, size 3.632e-12, alpha 3.126, combined = 2.975e-13 rroots = 6
  304. Mon Aug 10 20:56:35 2026
  305. Mon Aug 10 20:56:35 2026 commencing linear algebra
  306. Mon Aug 10 20:56:35 2026 using VBITS=256
  307. Mon Aug 10 20:56:35 2026 skipping matrix build
  308. Mon Aug 10 20:56:41 2026 matrix starts at (0, 0)
  309. Mon Aug 10 20:56:44 2026 matrix is 12443016 x 12443180 (5383.7 MB) with weight 1524157785 (122.49/col)
  310. Mon Aug 10 20:56:44 2026 sparse part has weight 1286874865 (103.42/col)
  311. Mon Aug 10 20:56:44 2026 saving the first 240 matrix rows for later
  312. Mon Aug 10 20:56:52 2026 matrix includes 256 packed rows
  313. Mon Aug 10 20:56:56 2026 matrix is 12442776 x 12443180 (5006.6 MB) with weight 1171210032 (94.12/col)
  314. Mon Aug 10 20:56:56 2026 sparse part has weight 1113369927 (89.48/col)
  315. Mon Aug 10 20:56:56 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  316. Mon Aug 10 20:56:56 2026 selected card has CUDA arch 12.0
  317. Mon Aug 10 20:56:56 2026 computed block_nnz 140734078 (L2 cache 100663296 bytes, average column weight 89.5)
  318. Mon Aug 10 20:56:56 2026 nonzeros per matrix block: 256000000
  319. Mon Aug 10 20:59:09 2026 commencing Lanczos iteration
  320. Mon Aug 10 20:59:10 2026 memory use: 12006.9 MB
  321. Mon Aug 10 20:59:19 2026 linear algebra at 0.2%, ETA 1h 0m
  322. Mon Aug 10 20:59:32 2026 checking every 200000 dimensions, checkpointing every 12600000 dimensions
  323. Mon Aug 10 21:58:10 2026 lanczos halted after 48752 iterations (dim = 12442776)
  324. Mon Aug 10 21:59:20 2026 recovered 35 nontrivial dependencies
  325. Mon Aug 10 21:59:20 2026 BLanczosTime: 3765
  326. Mon Aug 10 21:59:20 2026 elapsed time 01:02:47
  327. Mon Aug 10 18:48:59 2026
  328. Mon Aug 10 18:48:59 2026
  329. Mon Aug 10 18:48:59 2026 Msieve v. 1.54 (SVN unknown)
  330. Mon Aug 10 18:48:59 2026 random seeds: f261d084 04d86167
  331. Mon Aug 10 18:48:59 2026 Using 14 OpenMP threads
  332. Mon Aug 10 18:48:59 2026 factoring 33825859689322463848437209125232712766369958150126374394632292497382968103956369400770966227285977939240346390028166183161313293416779769117840050116335145956802482286554268016561046207638851292176856886730457495418244264191348366980007213547253 (245 digits)
  333. Mon Aug 10 18:49:00 2026 no P-1/P+1/ECM available, skipping
  334. Mon Aug 10 18:49:00 2026 commencing number field sieve (245-digit input)
  335. Mon Aug 10 18:49:00 2026 R0: 187897509291552410735082322590924497329562
  336. Mon Aug 10 18:49:00 2026 R1: -433471463064816310331
  337. Mon Aug 10 18:49:00 2026 A0: -1
  338. Mon Aug 10 18:49:00 2026 A1: 3
  339. Mon Aug 10 18:49:00 2026 A2: 6
  340. Mon Aug 10 18:49:00 2026 A3: -4
  341. Mon Aug 10 18:49:00 2026 A4: -5
  342. Mon Aug 10 18:49:00 2026 A5: 1
  343. Mon Aug 10 18:49:00 2026 A6: 1
  344. Mon Aug 10 18:49:00 2026 skew 1.38, size 3.632e-12, alpha 3.126, combined = 2.975e-13 rroots = 6
  345. Mon Aug 10 18:49:00 2026
  346. Mon Aug 10 18:49:00 2026 commencing square root phase
  347. Mon Aug 10 18:49:00 2026 reading relations for dependency 1
  348. Mon Aug 10 18:49:00 2026 read 6221066 cycles
  349. Mon Aug 10 18:49:08 2026 cycles contain 20441630 unique relations
  350. Mon Aug 10 18:53:04 2026 read 20441630 relations
  351. Mon Aug 10 18:53:53 2026 multiplying 20441630 relations
  352. Mon Aug 10 18:54:45 2026 multiply complete, coefficients have about 514.05 million bits
  353. Mon Aug 10 18:54:46 2026 initial square root is modulo 1673618693
  354. Mon Aug 10 18:56:17 2026 found factor: 325848002277549853342787438522943241982196454293499199989852711137713718228713545088256794113583606806434821038750604113
  355. Mon Aug 10 18:56:17 2026 reading relations for dependency 2
  356. Mon Aug 10 18:56:18 2026 read 6220912 cycles
  357. Mon Aug 10 18:56:23 2026 cycles contain 20441320 unique relations
  358. Mon Aug 10 18:56:50 2026 read 20441320 relations
  359. Mon Aug 10 18:57:35 2026 multiplying 20441320 relations
  360. Mon Aug 10 18:58:24 2026 multiply complete, coefficients have about 514.04 million bits
  361. Mon Aug 10 18:58:25 2026 initial square root is modulo 1673066371
  362. Mon Aug 10 18:59:56 2026 GCD is N, no factor found
  363. Mon Aug 10 18:59:56 2026 reading relations for dependency 3
  364. Mon Aug 10 18:59:57 2026 read 6220562 cycles
  365. Mon Aug 10 19:00:04 2026 cycles contain 20440408 unique relations
  366. Mon Aug 10 19:00:31 2026 read 20440408 relations
  367. Mon Aug 10 19:01:17 2026 multiplying 20440408 relations
  368. Mon Aug 10 19:02:06 2026 multiply complete, coefficients have about 514.01 million bits
  369. Mon Aug 10 19:02:07 2026 initial square root is modulo 1671075031
  370. Mon Aug 10 19:03:38 2026 sqrtTime: 878
  371. Mon Aug 10 19:03:38 2026 p61 factor: 6872965429307120206087623008698132056042918355371570019737887
  372. Mon Aug 10 19:03:38 2026 p65 factor: 15103918060337985290897022999714577898706224483078021906819424763
  373. Mon Aug 10 19:03:38 2026 p120 factor: 325848002277549853342787438522943241982196454293499199989852711137713718228713545088256794113583606806434821038750604113
  374. Mon Aug 10 19:03:38 2026 elapsed time 00:14:39
  375.  
Tags: math
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