kyleaskine

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Apr 18th, 2026
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  1. Fri Apr 17 10:12:11 2026
  2. Fri Apr 17 10:12:11 2026
  3. Fri Apr 17 10:12:11 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Apr 17 10:12:11 2026 random seeds: a5ad8a53 961543c1
  5. Fri Apr 17 10:12:11 2026 Using 8 OpenMP threads
  6. Fri Apr 17 10:12:11 2026 factoring 653235627795588770204006644261041848327151179774705157063474843428966927318308859236986206796391471824756322749088743107039305377699307930525616101476790535573685899923275361288437767748350735223375304636082601133818630818643540686683 (234 digits)
  7. Fri Apr 17 10:12:12 2026 no P-1/P+1/ECM available, skipping
  8. Fri Apr 17 10:12:12 2026 commencing number field sieve (234-digit input)
  9. Fri Apr 17 10:12:12 2026 R0: 414755733096433817150624214133805406119830687
  10. Fri Apr 17 10:12:12 2026 R1: -1
  11. Fri Apr 17 10:12:12 2026 A0: -223
  12. Fri Apr 17 10:12:12 2026 A1: 0
  13. Fri Apr 17 10:12:12 2026 A2: 0
  14. Fri Apr 17 10:12:12 2026 A3: 0
  15. Fri Apr 17 10:12:12 2026 A4: 0
  16. Fri Apr 17 10:12:12 2026 A5: 0
  17. Fri Apr 17 10:12:12 2026 A6: 1
  18. Fri Apr 17 10:12:12 2026 skew 3.20, size 3.656e-13, alpha 0.422, combined = 5.421e-14 rroots = 2
  19. Fri Apr 17 10:12:12 2026
  20. Fri Apr 17 10:12:12 2026 commencing relation filtering
  21. Fri Apr 17 10:12:12 2026 setting 3 target densities:Fri Apr 17 10:12:12 2026 80Fri Apr 17 10:12:12 2026 100Fri Apr 17 10:12:12 2026 120Fri Apr 17 10:12:12 2026
  22. Fri Apr 17 10:12:12 2026 estimated available RAM is 78540.1 MB
  23. Fri Apr 17 10:12:12 2026 commencing duplicate removal, pass 1
  24. Fri Apr 17 10:13:50 2026 error -15 reading relation 18125057
  25. Fri Apr 17 10:13:50 2026 error -1 reading relation 18184447
  26. Fri Apr 17 10:15:51 2026 error -1 reading relation 41239255
  27. Fri Apr 17 10:19:37 2026 error -1 reading relation 83588346
  28. Fri Apr 17 10:20:04 2026 error -1 reading relation 88197971
  29. Fri Apr 17 10:20:24 2026 error -1 reading relation 92084853
  30. Fri Apr 17 10:21:28 2026 error -1 reading relation 103843680
  31. Fri Apr 17 10:22:16 2026 error -1 reading relation 112658264
  32. Fri Apr 17 10:22:47 2026 error -1 reading relation 118368704
  33. Fri Apr 17 10:24:11 2026 error -1 reading relation 133890615
  34. Fri Apr 17 10:24:24 2026 error -1 reading relation 136272447
  35. Fri Apr 17 10:24:26 2026 error -1 reading relation 136969815
  36. Fri Apr 17 10:24:27 2026 error -1 reading relation 137070418
  37. Fri Apr 17 10:25:43 2026 error -1 reading relation 150825405
  38. Fri Apr 17 10:25:56 2026 error -1 reading relation 153214948
  39. Fri Apr 17 10:27:53 2026 error -1 reading relation 174669708
  40. Fri Apr 17 10:28:41 2026 error -1 reading relation 183450067
  41. Fri Apr 17 10:28:42 2026 error -1 reading relation 183617609
  42. Fri Apr 17 10:29:25 2026 error -1 reading relation 191360127
  43. Fri Apr 17 10:30:34 2026 error -1 reading relation 204024894
  44. Fri Apr 17 10:31:09 2026 error -1 reading relation 210458868
  45. Fri Apr 17 10:31:21 2026 error -1 reading relation 212488253
  46. Fri Apr 17 10:32:31 2026 error -11 reading relation 225535881
  47. Fri Apr 17 10:32:47 2026 error -1 reading relation 228628909
  48. Fri Apr 17 10:32:55 2026 error -1 reading relation 230102840
  49. Fri Apr 17 10:33:34 2026 error -1 reading relation 237198744
  50. Fri Apr 17 10:33:35 2026 error -1 reading relation 237343046
  51. Fri Apr 17 10:33:37 2026 error -1 reading relation 237778965
  52. Fri Apr 17 10:33:54 2026 error -1 reading relation 241016351
  53. Fri Apr 17 10:34:17 2026 error -1 reading relation 245290397
  54. Fri Apr 17 10:35:10 2026 error -1 reading relation 254631952
  55. Fri Apr 17 10:36:08 2026 error -1 reading relation 265059811
  56. Fri Apr 17 10:37:19 2026 error -1 reading relation 278291393
  57. Fri Apr 17 10:37:52 2026 error -1 reading relation 284433248
  58. Fri Apr 17 10:38:11 2026 error -1 reading relation 287963188
  59. Fri Apr 17 10:39:11 2026 error -1 reading relation 301177320
  60. Fri Apr 17 10:39:21 2026 error -1 reading relation 303632168
  61. Fri Apr 17 10:40:05 2026 error -1 reading relation 312935131
  62. Fri Apr 17 10:40:05 2026 error -1 reading relation 312941413
  63. Fri Apr 17 10:40:06 2026 error -1 reading relation 313095797
  64. Fri Apr 17 10:40:17 2026 error -15 reading relation 315289020
  65. Fri Apr 17 10:40:19 2026 error -1 reading relation 315988018
  66. Fri Apr 17 10:40:49 2026 error -1 reading relation 322376562
  67. Fri Apr 17 10:40:57 2026 error -11 reading relation 324372017
  68. Fri Apr 17 10:41:59 2026 error -1 reading relation 338279022
  69. Fri Apr 17 10:43:19 2026 skipped 289 relations with b > 2^32
  70. Fri Apr 17 10:43:19 2026 skipped 1 relations with composite factors
  71. Fri Apr 17 10:43:19 2026 skipped 371 malformed relations
  72. Fri Apr 17 10:43:19 2026 found 73094120 hash collisions in 355273658 relations
  73. Fri Apr 17 10:43:27 2026 commencing duplicate removal, pass 2
  74. Fri Apr 17 10:52:19 2026 found 75705563 duplicates and 279568095 unique relations
  75. Fri Apr 17 10:52:19 2026 memory use: 1705.5 MB
  76. Fri Apr 17 10:52:19 2026 reading ideals above 720000
  77. Fri Apr 17 10:52:20 2026 commencing singleton removal, initial pass
  78. Fri Apr 17 11:32:39 2026 memory use: 6024.0 MB
  79. Fri Apr 17 11:32:40 2026 reading all ideals from disk
  80. Fri Apr 17 11:33:07 2026 memory use: 13830.8 MB
  81. Fri Apr 17 11:33:47 2026 keeping 254575315 ideals with weight <= 200, target excess is 1460836
  82. Fri Apr 17 11:34:46 2026 commencing in-memory singleton removal
  83. Fri Apr 17 11:34:53 2026 begin with 279568095 relations and 254575315 unique ideals
  84. Fri Apr 17 11:36:10 2026 reduce to 186788631 relations and 153253573 ideals in 14 passes
  85. Fri Apr 17 11:36:10 2026 max relations containing the same ideal: 165
  86. Fri Apr 17 11:36:19 2026 trying target density 80
  87. Fri Apr 17 11:38:25 2026 removing 11667625 relations and 9667625 ideals in 2000000 cliques
  88. Fri Apr 17 11:38:32 2026 commencing in-memory singleton removal
  89. Fri Apr 17 11:38:38 2026 begin with 175121006 relations and 153253573 unique ideals
  90. Fri Apr 17 11:39:18 2026 reduce to 174549206 relations and 143006018 ideals in 9 passes
  91. Fri Apr 17 11:39:18 2026 max relations containing the same ideal: 156
  92. Fri Apr 17 11:41:13 2026 removing 8946598 relations and 6946598 ideals in 2000000 cliques
  93. Fri Apr 17 11:41:21 2026 commencing in-memory singleton removal
  94. Fri Apr 17 11:41:26 2026 begin with 165602608 relations and 143006018 unique ideals
  95. Fri Apr 17 11:41:54 2026 reduce to 165221712 relations and 135673899 ideals in 7 passes
  96. Fri Apr 17 11:41:54 2026 max relations containing the same ideal: 150
  97. Fri Apr 17 11:44:03 2026 removing 8117932 relations and 6117932 ideals in 2000000 cliques
  98. Fri Apr 17 11:44:10 2026 commencing in-memory singleton removal
  99. Fri Apr 17 11:44:14 2026 begin with 157103780 relations and 135673899 unique ideals
  100. Fri Apr 17 11:44:46 2026 reduce to 156767711 relations and 129215935 ideals in 7 passes
  101. Fri Apr 17 11:44:46 2026 max relations containing the same ideal: 146
  102. Fri Apr 17 11:46:46 2026 removing 7684379 relations and 5684379 ideals in 2000000 cliques
  103. Fri Apr 17 11:46:54 2026 commencing in-memory singleton removal
  104. Fri Apr 17 11:46:58 2026 begin with 149083332 relations and 129215935 unique ideals
  105. Fri Apr 17 11:47:26 2026 reduce to 148766183 relations and 123210533 ideals in 7 passes
  106. Fri Apr 17 11:47:26 2026 max relations containing the same ideal: 140
  107. Fri Apr 17 11:49:28 2026 removing 7418053 relations and 5418053 ideals in 2000000 cliques
  108. Fri Apr 17 11:49:35 2026 commencing in-memory singleton removal
  109. Fri Apr 17 11:49:37 2026 begin with 141348130 relations and 123210533 unique ideals
  110. Fri Apr 17 11:50:08 2026 reduce to 141040060 relations and 117480452 ideals in 8 passes
  111. Fri Apr 17 11:50:08 2026 max relations containing the same ideal: 138
  112. Fri Apr 17 11:52:08 2026 removing 7244203 relations and 5244203 ideals in 2000000 cliques
  113. Fri Apr 17 11:52:13 2026 commencing in-memory singleton removal
  114. Fri Apr 17 11:52:17 2026 begin with 133795857 relations and 117480452 unique ideals
  115. Fri Apr 17 11:52:42 2026 reduce to 133489203 relations and 111925656 ideals in 7 passes
  116. Fri Apr 17 11:52:42 2026 max relations containing the same ideal: 131
  117. Fri Apr 17 11:54:32 2026 removing 7126876 relations and 5126876 ideals in 2000000 cliques
  118. Fri Apr 17 11:54:37 2026 commencing in-memory singleton removal
  119. Fri Apr 17 11:54:41 2026 begin with 126362327 relations and 111925656 unique ideals
  120. Fri Apr 17 11:55:10 2026 reduce to 126053494 relations and 106485804 ideals in 7 passes
  121. Fri Apr 17 11:55:10 2026 max relations containing the same ideal: 126
  122. Fri Apr 17 11:57:07 2026 removing 7047082 relations and 5047082 ideals in 2000000 cliques
  123. Fri Apr 17 11:57:11 2026 commencing in-memory singleton removal
  124. Fri Apr 17 11:57:15 2026 begin with 119006412 relations and 106485804 unique ideals
  125. Fri Apr 17 11:57:39 2026 reduce to 118689158 relations and 101116960 ideals in 7 passes
  126. Fri Apr 17 11:57:39 2026 max relations containing the same ideal: 122
  127. Fri Apr 17 11:59:29 2026 removing 6995491 relations and 4995491 ideals in 2000000 cliques
  128. Fri Apr 17 11:59:37 2026 commencing in-memory singleton removal
  129. Fri Apr 17 11:59:40 2026 begin with 111693667 relations and 101116960 unique ideals
  130. Fri Apr 17 12:00:05 2026 reduce to 111365110 relations and 95787968 ideals in 7 passes
  131. Fri Apr 17 12:00:05 2026 max relations containing the same ideal: 119
  132. Fri Apr 17 12:01:13 2026 removing 6968426 relations and 4968426 ideals in 2000000 cliques
  133. Fri Apr 17 12:01:16 2026 commencing in-memory singleton removal
  134. Fri Apr 17 12:01:18 2026 begin with 104396684 relations and 95787968 unique ideals
  135. Fri Apr 17 12:01:28 2026 reduce to 104053965 relations and 90471344 ideals in 8 passes
  136. Fri Apr 17 12:01:28 2026 max relations containing the same ideal: 115
  137. Fri Apr 17 12:02:05 2026 removing 6958826 relations and 4958826 ideals in 2000000 cliques
  138. Fri Apr 17 12:02:08 2026 commencing in-memory singleton removal
  139. Fri Apr 17 12:02:10 2026 begin with 97095139 relations and 90471344 unique ideals
  140. Fri Apr 17 12:02:24 2026 reduce to 96732530 relations and 85143766 ideals in 7 passes
  141. Fri Apr 17 12:02:24 2026 max relations containing the same ideal: 107
  142. Fri Apr 17 12:03:20 2026 removing 6972498 relations and 4972498 ideals in 2000000 cliques
  143. Fri Apr 17 12:03:24 2026 commencing in-memory singleton removal
  144. Fri Apr 17 12:03:25 2026 begin with 89760032 relations and 85143766 unique ideals
  145. Fri Apr 17 12:03:36 2026 reduce to 89371755 relations and 79775931 ideals in 7 passes
  146. Fri Apr 17 12:03:36 2026 max relations containing the same ideal: 101
  147. Fri Apr 17 12:04:29 2026 removing 6998652 relations and 4998652 ideals in 2000000 cliques
  148. Fri Apr 17 12:04:32 2026 commencing in-memory singleton removal
  149. Fri Apr 17 12:04:34 2026 begin with 82373103 relations and 79775931 unique ideals
  150. Fri Apr 17 12:04:45 2026 reduce to 81953784 relations and 74349762 ideals in 7 passes
  151. Fri Apr 17 12:04:45 2026 max relations containing the same ideal: 98
  152. Fri Apr 17 12:05:35 2026 removing 7044942 relations and 5044942 ideals in 2000000 cliques
  153. Fri Apr 17 12:05:38 2026 commencing in-memory singleton removal
  154. Fri Apr 17 12:05:40 2026 begin with 74908842 relations and 74349762 unique ideals
  155. Fri Apr 17 12:05:54 2026 reduce to 74444798 relations and 68831186 ideals in 9 passes
  156. Fri Apr 17 12:05:54 2026 max relations containing the same ideal: 91
  157. Fri Apr 17 12:06:40 2026 removing 7114672 relations and 5114672 ideals in 2000000 cliques
  158. Fri Apr 17 12:06:42 2026 commencing in-memory singleton removal
  159. Fri Apr 17 12:06:44 2026 begin with 67330126 relations and 68831186 unique ideals
  160. Fri Apr 17 12:06:55 2026 reduce to 66808152 relations and 63182556 ideals in 8 passes
  161. Fri Apr 17 12:06:55 2026 max relations containing the same ideal: 83
  162. Fri Apr 17 12:07:35 2026 removing 7007178 relations and 5076152 ideals in 1931027 cliques
  163. Fri Apr 17 12:07:38 2026 commencing in-memory singleton removal
  164. Fri Apr 17 12:07:40 2026 begin with 59800974 relations and 63182556 unique ideals
  165. Fri Apr 17 12:07:50 2026 reduce to 59232263 relations and 57523907 ideals in 8 passes
  166. Fri Apr 17 12:07:50 2026 max relations containing the same ideal: 75
  167. Fri Apr 17 12:08:30 2026 removing 109114 relations and 95328 ideals in 13786 cliques
  168. Fri Apr 17 12:08:32 2026 commencing in-memory singleton removal
  169. Fri Apr 17 12:08:33 2026 begin with 59123149 relations and 57523907 unique ideals
  170. Fri Apr 17 12:08:39 2026 reduce to 59122981 relations and 57428411 ideals in 6 passes
  171. Fri Apr 17 12:08:39 2026 max relations containing the same ideal: 75
  172. Fri Apr 17 12:08:46 2026 relations with 0 large ideals: 52462
  173. Fri Apr 17 12:08:46 2026 relations with 1 large ideals: 26431
  174. Fri Apr 17 12:08:46 2026 relations with 2 large ideals: 349038
  175. Fri Apr 17 12:08:46 2026 relations with 3 large ideals: 2076351
  176. Fri Apr 17 12:08:46 2026 relations with 4 large ideals: 6687986
  177. Fri Apr 17 12:08:46 2026 relations with 5 large ideals: 12942595
  178. Fri Apr 17 12:08:46 2026 relations with 6 large ideals: 15722274
  179. Fri Apr 17 12:08:46 2026 relations with 7+ large ideals: 21265844
  180. Fri Apr 17 12:08:46 2026 commencing 2-way merge
  181. Fri Apr 17 12:09:36 2026 reduce to 38673788 relation sets and 36979218 unique ideals
  182. Fri Apr 17 12:09:36 2026 commencing full merge
  183. Fri Apr 17 12:26:01 2026 memory use: 4563.0 MB
  184. Fri Apr 17 12:26:11 2026 found 20028767 cycles, need 19797418
  185. Fri Apr 17 12:26:19 2026 weight of 19797418 cycles is about 1584228505 (80.02/cycle)
  186. Fri Apr 17 12:26:19 2026 distribution of cycle lengths:
  187. Fri Apr 17 12:26:19 2026 1 relations: 2077954
  188. Fri Apr 17 12:26:19 2026 2 relations: 2156081
  189. Fri Apr 17 12:26:19 2026 3 relations: 2209863
  190. Fri Apr 17 12:26:19 2026 4 relations: 2105772
  191. Fri Apr 17 12:26:19 2026 5 relations: 2018903
  192. Fri Apr 17 12:26:19 2026 6 relations: 1838660
  193. Fri Apr 17 12:26:19 2026 7 relations: 1635221
  194. Fri Apr 17 12:26:19 2026 8 relations: 1396866
  195. Fri Apr 17 12:26:19 2026 9 relations: 1151009
  196. Fri Apr 17 12:26:19 2026 10+ relations: 3207089
  197. Fri Apr 17 12:26:19 2026 heaviest cycle: 21 relations
  198. Fri Apr 17 12:26:28 2026 commencing cycle optimization
  199. Fri Apr 17 12:27:16 2026 start with 114015400 relations
  200. Fri Apr 17 12:31:45 2026 pruned 3368864 relations
  201. Fri Apr 17 12:31:45 2026 memory use: 3603.9 MB
  202. Fri Apr 17 12:31:45 2026 distribution of cycle lengths:
  203. Fri Apr 17 12:31:45 2026 1 relations: 2077954
  204. Fri Apr 17 12:31:45 2026 2 relations: 2203113
  205. Fri Apr 17 12:31:45 2026 3 relations: 2293002
  206. Fri Apr 17 12:31:45 2026 4 relations: 2172422
  207. Fri Apr 17 12:31:45 2026 5 relations: 2090933
  208. Fri Apr 17 12:31:45 2026 6 relations: 1889002
  209. Fri Apr 17 12:31:45 2026 7 relations: 1674043
  210. Fri Apr 17 12:31:45 2026 8 relations: 1409107
  211. Fri Apr 17 12:31:45 2026 9 relations: 1141703
  212. Fri Apr 17 12:31:45 2026 10+ relations: 2846139
  213. Fri Apr 17 12:31:45 2026 heaviest cycle: 21 relations
  214. Fri Apr 17 12:33:48 2026 trying target density 100
  215. Fri Apr 17 12:35:31 2026 removing 11667625 relations and 9667625 ideals in 2000000 cliques
  216. Fri Apr 17 12:35:36 2026 commencing in-memory singleton removal
  217. Fri Apr 17 12:35:39 2026 begin with 175121006 relations and 153253573 unique ideals
  218. Fri Apr 17 12:36:00 2026 reduce to 174549206 relations and 143006018 ideals in 8 passes
  219. Fri Apr 17 12:36:00 2026 max relations containing the same ideal: 156
  220. Fri Apr 17 12:37:26 2026 removing 8946598 relations and 6946598 ideals in 2000000 cliques
  221. Fri Apr 17 12:37:30 2026 commencing in-memory singleton removal
  222. Fri Apr 17 12:37:34 2026 begin with 165602608 relations and 143006018 unique ideals
  223. Fri Apr 17 12:37:55 2026 reduce to 165221712 relations and 135673899 ideals in 7 passes
  224. Fri Apr 17 12:37:55 2026 max relations containing the same ideal: 150
  225. Fri Apr 17 12:39:20 2026 removing 8117932 relations and 6117932 ideals in 2000000 cliques
  226. Fri Apr 17 12:39:25 2026 commencing in-memory singleton removal
  227. Fri Apr 17 12:39:28 2026 begin with 157103780 relations and 135673899 unique ideals
  228. Fri Apr 17 12:39:47 2026 reduce to 156767711 relations and 129215935 ideals in 7 passes
  229. Fri Apr 17 12:39:47 2026 max relations containing the same ideal: 146
  230. Fri Apr 17 12:41:06 2026 removing 7684379 relations and 5684379 ideals in 2000000 cliques
  231. Fri Apr 17 12:41:10 2026 commencing in-memory singleton removal
  232. Fri Apr 17 12:41:14 2026 begin with 149083332 relations and 129215935 unique ideals
  233. Fri Apr 17 12:41:31 2026 reduce to 148766183 relations and 123210533 ideals in 7 passes
  234. Fri Apr 17 12:41:31 2026 max relations containing the same ideal: 140
  235. Fri Apr 17 12:42:50 2026 removing 7418053 relations and 5418053 ideals in 2000000 cliques
  236. Fri Apr 17 12:42:54 2026 commencing in-memory singleton removal
  237. Fri Apr 17 12:42:57 2026 begin with 141348130 relations and 123210533 unique ideals
  238. Fri Apr 17 12:43:14 2026 reduce to 141040060 relations and 117480452 ideals in 7 passes
  239. Fri Apr 17 12:43:14 2026 max relations containing the same ideal: 138
  240. Fri Apr 17 12:44:30 2026 removing 7244203 relations and 5244203 ideals in 2000000 cliques
  241. Fri Apr 17 12:44:34 2026 commencing in-memory singleton removal
  242. Fri Apr 17 12:44:35 2026 begin with 133795857 relations and 117480452 unique ideals
  243. Fri Apr 17 12:44:52 2026 reduce to 133489203 relations and 111925656 ideals in 7 passes
  244. Fri Apr 17 12:44:52 2026 max relations containing the same ideal: 131
  245. Fri Apr 17 12:46:06 2026 removing 7126876 relations and 5126876 ideals in 2000000 cliques
  246. Fri Apr 17 12:46:09 2026 commencing in-memory singleton removal
  247. Fri Apr 17 12:46:11 2026 begin with 126362327 relations and 111925656 unique ideals
  248. Fri Apr 17 12:46:26 2026 reduce to 126053494 relations and 106485804 ideals in 7 passes
  249. Fri Apr 17 12:46:26 2026 max relations containing the same ideal: 126
  250. Fri Apr 17 12:47:36 2026 removing 7047082 relations and 5047082 ideals in 2000000 cliques
  251. Fri Apr 17 12:47:38 2026 commencing in-memory singleton removal
  252. Fri Apr 17 12:47:40 2026 begin with 119006412 relations and 106485804 unique ideals
  253. Fri Apr 17 12:47:56 2026 reduce to 118689158 relations and 101116960 ideals in 7 passes
  254. Fri Apr 17 12:47:56 2026 max relations containing the same ideal: 122
  255. Fri Apr 17 12:49:01 2026 removing 6995491 relations and 4995491 ideals in 2000000 cliques
  256. Fri Apr 17 12:49:04 2026 commencing in-memory singleton removal
  257. Fri Apr 17 12:49:07 2026 begin with 111693667 relations and 101116960 unique ideals
  258. Fri Apr 17 12:49:18 2026 reduce to 111365110 relations and 95787968 ideals in 7 passes
  259. Fri Apr 17 12:49:18 2026 max relations containing the same ideal: 119
  260. Fri Apr 17 12:50:21 2026 removing 6968426 relations and 4968426 ideals in 2000000 cliques
  261. Fri Apr 17 12:50:25 2026 commencing in-memory singleton removal
  262. Fri Apr 17 12:50:27 2026 begin with 104396684 relations and 95787968 unique ideals
  263. Fri Apr 17 12:50:40 2026 reduce to 104053965 relations and 90471344 ideals in 7 passes
  264. Fri Apr 17 12:50:40 2026 max relations containing the same ideal: 115
  265. Fri Apr 17 12:51:38 2026 removing 6958826 relations and 4958826 ideals in 2000000 cliques
  266. Fri Apr 17 12:51:41 2026 commencing in-memory singleton removal
  267. Fri Apr 17 12:51:43 2026 begin with 97095139 relations and 90471344 unique ideals
  268. Fri Apr 17 12:51:53 2026 reduce to 96732530 relations and 85143766 ideals in 7 passes
  269. Fri Apr 17 12:51:53 2026 max relations containing the same ideal: 107
  270. Fri Apr 17 12:52:48 2026 removing 6972498 relations and 4972498 ideals in 2000000 cliques
  271. Fri Apr 17 12:52:51 2026 commencing in-memory singleton removal
  272. Fri Apr 17 12:52:52 2026 begin with 89760032 relations and 85143766 unique ideals
  273. Fri Apr 17 12:53:05 2026 reduce to 89371755 relations and 79775931 ideals in 8 passes
  274. Fri Apr 17 12:53:05 2026 max relations containing the same ideal: 101
  275. Fri Apr 17 12:53:57 2026 removing 6998652 relations and 4998652 ideals in 2000000 cliques
  276. Fri Apr 17 12:54:00 2026 commencing in-memory singleton removal
  277. Fri Apr 17 12:54:00 2026 begin with 82373103 relations and 79775931 unique ideals
  278. Fri Apr 17 12:54:11 2026 reduce to 81953784 relations and 74349762 ideals in 8 passes
  279. Fri Apr 17 12:54:11 2026 max relations containing the same ideal: 98
  280. Fri Apr 17 12:55:00 2026 removing 7044942 relations and 5044942 ideals in 2000000 cliques
  281. Fri Apr 17 12:55:01 2026 commencing in-memory singleton removal
  282. Fri Apr 17 12:55:03 2026 begin with 74908842 relations and 74349762 unique ideals
  283. Fri Apr 17 12:55:14 2026 reduce to 74444798 relations and 68831186 ideals in 9 passes
  284. Fri Apr 17 12:55:14 2026 max relations containing the same ideal: 91
  285. Fri Apr 17 12:55:58 2026 removing 7114672 relations and 5114672 ideals in 2000000 cliques
  286. Fri Apr 17 12:56:01 2026 commencing in-memory singleton removal
  287. Fri Apr 17 12:56:02 2026 begin with 67330126 relations and 68831186 unique ideals
  288. Fri Apr 17 12:56:08 2026 reduce to 66808152 relations and 63182556 ideals in 7 passes
  289. Fri Apr 17 12:56:08 2026 max relations containing the same ideal: 83
  290. Fri Apr 17 12:56:49 2026 removing 7007178 relations and 5076152 ideals in 1931027 cliques
  291. Fri Apr 17 12:56:52 2026 commencing in-memory singleton removal
  292. Fri Apr 17 12:56:53 2026 begin with 59800974 relations and 63182556 unique ideals
  293. Fri Apr 17 12:57:02 2026 reduce to 59232263 relations and 57523907 ideals in 9 passes
  294. Fri Apr 17 12:57:02 2026 max relations containing the same ideal: 75
  295. Fri Apr 17 12:57:36 2026 removing 109114 relations and 95328 ideals in 13786 cliques
  296. Fri Apr 17 12:57:37 2026 commencing in-memory singleton removal
  297. Fri Apr 17 12:57:39 2026 begin with 59123149 relations and 57523907 unique ideals
  298. Fri Apr 17 12:57:44 2026 reduce to 59122981 relations and 57428411 ideals in 6 passes
  299. Fri Apr 17 12:57:44 2026 max relations containing the same ideal: 75
  300. Fri Apr 17 12:57:51 2026 relations with 0 large ideals: 52462
  301. Fri Apr 17 12:57:51 2026 relations with 1 large ideals: 26431
  302. Fri Apr 17 12:57:51 2026 relations with 2 large ideals: 349038
  303. Fri Apr 17 12:57:51 2026 relations with 3 large ideals: 2076351
  304. Fri Apr 17 12:57:51 2026 relations with 4 large ideals: 6687986
  305. Fri Apr 17 12:57:51 2026 relations with 5 large ideals: 12942595
  306. Fri Apr 17 12:57:51 2026 relations with 6 large ideals: 15722274
  307. Fri Apr 17 12:57:51 2026 relations with 7+ large ideals: 21265844
  308. Fri Apr 17 12:57:51 2026 commencing 2-way merge
  309. Fri Apr 17 12:58:38 2026 reduce to 38673788 relation sets and 36979218 unique ideals
  310. Fri Apr 17 12:58:38 2026 commencing full merge
  311. Fri Apr 17 13:16:31 2026 memory use: 4728.1 MB
  312. Fri Apr 17 13:16:40 2026 found 18552416 cycles, need 18347418
  313. Fri Apr 17 13:16:49 2026 weight of 18347418 cycles is about 1834758391 (100.00/cycle)
  314. Fri Apr 17 13:16:49 2026 distribution of cycle lengths:
  315. Fri Apr 17 13:16:49 2026 1 relations: 1349673
  316. Fri Apr 17 13:16:49 2026 2 relations: 1526607
  317. Fri Apr 17 13:16:49 2026 3 relations: 1628601
  318. Fri Apr 17 13:16:49 2026 4 relations: 1615142
  319. Fri Apr 17 13:16:49 2026 5 relations: 1595463
  320. Fri Apr 17 13:16:49 2026 6 relations: 1516609
  321. Fri Apr 17 13:16:49 2026 7 relations: 1440075
  322. Fri Apr 17 13:16:49 2026 8 relations: 1321337
  323. Fri Apr 17 13:16:49 2026 9 relations: 1182107
  324. Fri Apr 17 13:16:49 2026 10+ relations: 5171804
  325. Fri Apr 17 13:16:49 2026 heaviest cycle: 26 relations
  326. Fri Apr 17 13:16:54 2026 commencing cycle optimization
  327. Fri Apr 17 13:17:52 2026 start with 132094967 relations
  328. Fri Apr 17 13:24:29 2026 pruned 5037728 relations
  329. Fri Apr 17 13:24:29 2026 memory use: 3796.1 MB
  330. Fri Apr 17 13:24:29 2026 distribution of cycle lengths:
  331. Fri Apr 17 13:24:29 2026 1 relations: 1349673
  332. Fri Apr 17 13:24:29 2026 2 relations: 1562648
  333. Fri Apr 17 13:24:29 2026 3 relations: 1695243
  334. Fri Apr 17 13:24:29 2026 4 relations: 1676354
  335. Fri Apr 17 13:24:29 2026 5 relations: 1666475
  336. Fri Apr 17 13:24:29 2026 6 relations: 1578499
  337. Fri Apr 17 13:24:29 2026 7 relations: 1499997
  338. Fri Apr 17 13:24:29 2026 8 relations: 1364322
  339. Fri Apr 17 13:24:29 2026 9 relations: 1211788
  340. Fri Apr 17 13:24:29 2026 10+ relations: 4742419
  341. Fri Apr 17 13:24:29 2026 heaviest cycle: 25 relations
  342. Fri Apr 17 13:25:30 2026 trying target density 120
  343. Fri Apr 17 13:26:57 2026 removing 11667625 relations and 9667625 ideals in 2000000 cliques
  344. Fri Apr 17 13:27:03 2026 commencing in-memory singleton removal
  345. Fri Apr 17 13:27:06 2026 begin with 175121006 relations and 153253573 unique ideals
  346. Fri Apr 17 13:27:26 2026 reduce to 174549206 relations and 143006018 ideals in 8 passes
  347. Fri Apr 17 13:27:26 2026 max relations containing the same ideal: 156
  348. Fri Apr 17 13:28:46 2026 removing 8946598 relations and 6946598 ideals in 2000000 cliques
  349. Fri Apr 17 13:28:51 2026 commencing in-memory singleton removal
  350. Fri Apr 17 13:28:54 2026 begin with 165602608 relations and 143006018 unique ideals
  351. Fri Apr 17 13:29:12 2026 reduce to 165221712 relations and 135673899 ideals in 7 passes
  352. Fri Apr 17 13:29:12 2026 max relations containing the same ideal: 150
  353. Fri Apr 17 13:30:03 2026 removing 8117932 relations and 6117932 ideals in 2000000 cliques
  354. Fri Apr 17 13:30:06 2026 commencing in-memory singleton removal
  355. Fri Apr 17 13:30:09 2026 begin with 157103780 relations and 135673899 unique ideals
  356. Fri Apr 17 13:30:18 2026 reduce to 156767711 relations and 129215935 ideals in 7 passes
  357. Fri Apr 17 13:30:18 2026 max relations containing the same ideal: 146
  358. Fri Apr 17 13:31:08 2026 removing 7684379 relations and 5684379 ideals in 2000000 cliques
  359. Fri Apr 17 13:31:10 2026 commencing in-memory singleton removal
  360. Fri Apr 17 13:31:13 2026 begin with 149083332 relations and 129215935 unique ideals
  361. Fri Apr 17 13:31:20 2026 reduce to 148766183 relations and 123210533 ideals in 7 passes
  362. Fri Apr 17 13:31:20 2026 max relations containing the same ideal: 140
  363. Fri Apr 17 13:31:59 2026 removing 7418053 relations and 5418053 ideals in 2000000 cliques
  364. Fri Apr 17 13:32:02 2026 commencing in-memory singleton removal
  365. Fri Apr 17 13:32:04 2026 begin with 141348130 relations and 123210533 unique ideals
  366. Fri Apr 17 13:32:13 2026 reduce to 141040060 relations and 117480452 ideals in 8 passes
  367. Fri Apr 17 13:32:13 2026 max relations containing the same ideal: 138
  368. Fri Apr 17 13:32:44 2026 removing 7244203 relations and 5244203 ideals in 2000000 cliques
  369. Fri Apr 17 13:32:47 2026 commencing in-memory singleton removal
  370. Fri Apr 17 13:32:48 2026 begin with 133795857 relations and 117480452 unique ideals
  371. Fri Apr 17 13:32:56 2026 reduce to 133489203 relations and 111925656 ideals in 7 passes
  372. Fri Apr 17 13:32:56 2026 max relations containing the same ideal: 131
  373. Fri Apr 17 13:33:28 2026 removing 7126876 relations and 5126876 ideals in 2000000 cliques
  374. Fri Apr 17 13:33:30 2026 commencing in-memory singleton removal
  375. Fri Apr 17 13:33:32 2026 begin with 126362327 relations and 111925656 unique ideals
  376. Fri Apr 17 13:33:39 2026 reduce to 126053494 relations and 106485804 ideals in 7 passes
  377. Fri Apr 17 13:33:39 2026 max relations containing the same ideal: 126
  378. Fri Apr 17 13:34:08 2026 removing 7047082 relations and 5047082 ideals in 2000000 cliques
  379. Fri Apr 17 13:34:10 2026 commencing in-memory singleton removal
  380. Fri Apr 17 13:34:12 2026 begin with 119006412 relations and 106485804 unique ideals
  381. Fri Apr 17 13:34:17 2026 reduce to 118689158 relations and 101116960 ideals in 7 passes
  382. Fri Apr 17 13:34:17 2026 max relations containing the same ideal: 122
  383. Fri Apr 17 13:34:45 2026 removing 6995491 relations and 4995491 ideals in 2000000 cliques
  384. Fri Apr 17 13:34:47 2026 commencing in-memory singleton removal
  385. Fri Apr 17 13:34:48 2026 begin with 111693667 relations and 101116960 unique ideals
  386. Fri Apr 17 13:34:54 2026 reduce to 111365110 relations and 95787968 ideals in 7 passes
  387. Fri Apr 17 13:34:54 2026 max relations containing the same ideal: 119
  388. Fri Apr 17 13:35:21 2026 removing 6968426 relations and 4968426 ideals in 2000000 cliques
  389. Fri Apr 17 13:35:23 2026 commencing in-memory singleton removal
  390. Fri Apr 17 13:35:25 2026 begin with 104396684 relations and 95787968 unique ideals
  391. Fri Apr 17 13:35:31 2026 reduce to 104053965 relations and 90471344 ideals in 8 passes
  392. Fri Apr 17 13:35:31 2026 max relations containing the same ideal: 115
  393. Fri Apr 17 13:35:58 2026 removing 6958826 relations and 4958826 ideals in 2000000 cliques
  394. Fri Apr 17 13:36:00 2026 commencing in-memory singleton removal
  395. Fri Apr 17 13:36:01 2026 begin with 97095139 relations and 90471344 unique ideals
  396. Fri Apr 17 13:36:07 2026 reduce to 96732530 relations and 85143766 ideals in 7 passes
  397. Fri Apr 17 13:36:07 2026 max relations containing the same ideal: 107
  398. Fri Apr 17 13:36:36 2026 removing 6972498 relations and 4972498 ideals in 2000000 cliques
  399. Fri Apr 17 13:36:38 2026 commencing in-memory singleton removal
  400. Fri Apr 17 13:36:39 2026 begin with 89760032 relations and 85143766 unique ideals
  401. Fri Apr 17 13:36:44 2026 reduce to 89371755 relations and 79775931 ideals in 7 passes
  402. Fri Apr 17 13:36:44 2026 max relations containing the same ideal: 101
  403. Fri Apr 17 13:37:07 2026 removing 6998652 relations and 4998652 ideals in 2000000 cliques
  404. Fri Apr 17 13:37:09 2026 commencing in-memory singleton removal
  405. Fri Apr 17 13:37:10 2026 begin with 82373103 relations and 79775931 unique ideals
  406. Fri Apr 17 13:37:15 2026 reduce to 81953784 relations and 74349762 ideals in 7 passes
  407. Fri Apr 17 13:37:15 2026 max relations containing the same ideal: 98
  408. Fri Apr 17 13:37:36 2026 removing 7044942 relations and 5044942 ideals in 2000000 cliques
  409. Fri Apr 17 13:37:38 2026 commencing in-memory singleton removal
  410. Fri Apr 17 13:37:38 2026 begin with 74908842 relations and 74349762 unique ideals
  411. Fri Apr 17 13:37:43 2026 reduce to 74444798 relations and 68831186 ideals in 8 passes
  412. Fri Apr 17 13:37:43 2026 max relations containing the same ideal: 91
  413. Fri Apr 17 13:38:02 2026 removing 7114672 relations and 5114672 ideals in 2000000 cliques
  414. Fri Apr 17 13:38:04 2026 commencing in-memory singleton removal
  415. Fri Apr 17 13:38:05 2026 begin with 67330126 relations and 68831186 unique ideals
  416. Fri Apr 17 13:38:09 2026 reduce to 66808152 relations and 63182556 ideals in 8 passes
  417. Fri Apr 17 13:38:09 2026 max relations containing the same ideal: 83
  418. Fri Apr 17 13:38:27 2026 removing 7007178 relations and 5076152 ideals in 1931027 cliques
  419. Fri Apr 17 13:38:28 2026 commencing in-memory singleton removal
  420. Fri Apr 17 13:38:29 2026 begin with 59800974 relations and 63182556 unique ideals
  421. Fri Apr 17 13:38:33 2026 reduce to 59232263 relations and 57523907 ideals in 8 passes
  422. Fri Apr 17 13:38:33 2026 max relations containing the same ideal: 75
  423. Fri Apr 17 13:38:48 2026 removing 109114 relations and 95328 ideals in 13786 cliques
  424. Fri Apr 17 13:38:49 2026 commencing in-memory singleton removal
  425. Fri Apr 17 13:38:50 2026 begin with 59123149 relations and 57523907 unique ideals
  426. Fri Apr 17 13:38:53 2026 reduce to 59122981 relations and 57428411 ideals in 6 passes
  427. Fri Apr 17 13:38:53 2026 max relations containing the same ideal: 75
  428. Fri Apr 17 13:38:57 2026 relations with 0 large ideals: 52462
  429. Fri Apr 17 13:38:57 2026 relations with 1 large ideals: 26431
  430. Fri Apr 17 13:38:57 2026 relations with 2 large ideals: 349038
  431. Fri Apr 17 13:38:57 2026 relations with 3 large ideals: 2076351
  432. Fri Apr 17 13:38:57 2026 relations with 4 large ideals: 6687986
  433. Fri Apr 17 13:38:57 2026 relations with 5 large ideals: 12942595
  434. Fri Apr 17 13:38:57 2026 relations with 6 large ideals: 15722274
  435. Fri Apr 17 13:38:57 2026 relations with 7+ large ideals: 21265844
  436. Fri Apr 17 13:38:57 2026 commencing 2-way merge
  437. Fri Apr 17 13:39:22 2026 reduce to 38673788 relation sets and 36979218 unique ideals
  438. Fri Apr 17 13:39:22 2026 commencing full merge
  439. Fri Apr 17 13:50:45 2026 memory use: 4837.6 MB
  440. Fri Apr 17 13:50:49 2026 found 17426569 cycles, need 17319418
  441. Fri Apr 17 13:50:53 2026 weight of 17319418 cycles is about 2079006421 (120.04/cycle)
  442. Fri Apr 17 13:50:53 2026 distribution of cycle lengths:
  443. Fri Apr 17 13:50:53 2026 1 relations: 938483
  444. Fri Apr 17 13:50:53 2026 2 relations: 1146075
  445. Fri Apr 17 13:50:53 2026 3 relations: 1262977
  446. Fri Apr 17 13:50:53 2026 4 relations: 1270298
  447. Fri Apr 17 13:50:53 2026 5 relations: 1291122
  448. Fri Apr 17 13:50:53 2026 6 relations: 1253769
  449. Fri Apr 17 13:50:53 2026 7 relations: 1224098
  450. Fri Apr 17 13:50:53 2026 8 relations: 1162998
  451. Fri Apr 17 13:50:53 2026 9 relations: 1093135
  452. Fri Apr 17 13:50:53 2026 10+ relations: 6676463
  453. Fri Apr 17 13:50:53 2026 heaviest cycle: 28 relations
  454. Fri Apr 17 13:50:56 2026 commencing cycle optimization
  455. Fri Apr 17 13:51:26 2026 start with 149417705 relations
  456. Fri Apr 17 13:55:35 2026 pruned 6816144 relations
  457. Fri Apr 17 13:55:35 2026 memory use: 3971.8 MB
  458. Fri Apr 17 13:55:35 2026 distribution of cycle lengths:
  459. Fri Apr 17 13:55:35 2026 1 relations: 938483
  460. Fri Apr 17 13:55:35 2026 2 relations: 1174357
  461. Fri Apr 17 13:55:35 2026 3 relations: 1316494
  462. Fri Apr 17 13:55:35 2026 4 relations: 1323397
  463. Fri Apr 17 13:55:35 2026 5 relations: 1355428
  464. Fri Apr 17 13:55:35 2026 6 relations: 1314326
  465. Fri Apr 17 13:55:35 2026 7 relations: 1287670
  466. Fri Apr 17 13:55:35 2026 8 relations: 1218722
  467. Fri Apr 17 13:55:35 2026 9 relations: 1141739
  468. Fri Apr 17 13:55:35 2026 10+ relations: 6248802
  469. Fri Apr 17 13:55:35 2026 heaviest cycle: 28 relations
  470. Fri Apr 17 13:55:58 2026 RelProcTime: 13426
  471. Fri Apr 17 13:55:58 2026
  472. Fri Apr 17 13:55:58 2026 commencing linear algebra
  473. Fri Apr 17 13:55:58 2026 using VBITS=256
  474. Fri Apr 17 13:55:58 2026 building matrices for all densities
  475. Fri Apr 17 13:55:58 2026 found 3 density files
  476. Fri Apr 17 13:55:58 2026 building matrix for density 80
  477. Fri Apr 17 13:56:05 2026 read 19797418 cycles
  478. Fri Apr 17 13:56:28 2026 cycles contain 58136846 unique relations
  479. Fri Apr 17 14:00:33 2026 read 58136846 relations
  480. Fri Apr 17 14:00:51 2026 using 20 quadratic characters above 4294917295
  481. Fri Apr 17 14:01:09 2026 building initial matrix
  482. Fri Apr 17 14:09:15 2026 memory use: 7552.9 MB
  483. Fri Apr 17 14:09:21 2026 read 19797418 cycles
  484. Fri Apr 17 14:09:24 2026 matrix is 19797232 x 19797418 (6635.7 MB) with weight 1974082236 (99.71/col)
  485. Fri Apr 17 14:09:24 2026 sparse part has weight 1521731589 (76.87/col)
  486. Fri Apr 17 14:11:29 2026 filtering completed in 2 passes
  487. Fri Apr 17 14:11:32 2026 matrix is 19792339 x 19792520 (6635.3 MB) with weight 1973927511 (99.73/col)
  488. Fri Apr 17 14:11:32 2026 sparse part has weight 1521682419 (76.88/col)
  489. Fri Apr 17 14:12:10 2026 building matrix for density 100
  490. Fri Apr 17 14:12:15 2026 read 18347418 cycles
  491. Fri Apr 17 14:12:37 2026 cycles contain 58159887 unique relations
  492. Fri Apr 17 14:14:02 2026 read 58159887 relations
  493. Fri Apr 17 14:14:15 2026 using 20 quadratic characters above 4294917295
  494. Fri Apr 17 14:14:36 2026 building initial matrix
  495. Fri Apr 17 14:23:48 2026 memory use: 7573.8 MB
  496. Fri Apr 17 14:23:54 2026 read 18347418 cycles
  497. Fri Apr 17 14:23:56 2026 matrix is 18347237 x 18347418 (7392.8 MB) with weight 2184234453 (119.05/col)
  498. Fri Apr 17 14:23:56 2026 sparse part has weight 1736150029 (94.63/col)
  499. Fri Apr 17 14:25:51 2026 filtering completed in 2 passes
  500. Fri Apr 17 14:25:55 2026 matrix is 18345009 x 18345186 (7392.6 MB) with weight 2184150113 (119.06/col)
  501. Fri Apr 17 14:25:55 2026 sparse part has weight 1736119329 (94.64/col)
  502. Fri Apr 17 14:26:35 2026 building matrix for density 120
  503. Fri Apr 17 14:26:37 2026 read 17319418 cycles
  504. Fri Apr 17 14:26:58 2026 cycles contain 58168373 unique relations
  505. Fri Apr 17 14:27:35 2026 read 58168373 relations
  506. Fri Apr 17 14:27:49 2026 using 20 quadratic characters above 4294917295
  507. Fri Apr 17 14:28:09 2026 building initial matrix
  508. Fri Apr 17 14:37:52 2026 memory use: 7602.7 MB
  509. Fri Apr 17 14:37:58 2026 read 17319418 cycles
  510. Fri Apr 17 14:38:00 2026 matrix is 17319241 x 17319418 (8128.7 MB) with weight 2386431945 (137.79/col)
  511. Fri Apr 17 14:38:00 2026 sparse part has weight 1940375135 (112.03/col)
  512. Fri Apr 17 14:40:05 2026 filtering completed in 2 passes
  513. Fri Apr 17 14:40:08 2026 matrix is 17318475 x 17318648 (8128.6 MB) with weight 2386400760 (137.79/col)
  514. Fri Apr 17 14:40:08 2026 sparse part has weight 1940364052 (112.04/col)
  515. Fri Apr 17 14:40:46 2026 BLanczosTime: 2688
  516. Fri Apr 17 14:40:46 2026 elapsed time 04:28:35
  517. Fri Apr 17 15:51:40 2026
  518. Fri Apr 17 15:51:40 2026
  519. Fri Apr 17 15:51:40 2026 Msieve v. 1.54 (SVN unknown)
  520. Fri Apr 17 15:51:40 2026 random seeds: 7913c7bf f5f0e5f5
  521. Fri Apr 17 15:51:40 2026 Using 4 OpenMP threads
  522. Fri Apr 17 15:51:40 2026 factoring 653235627795588770204006644261041848327151179774705157063474843428966927318308859236986206796391471824756322749088743107039305377699307930525616101476790535573685899923275361288437767748350735223375304636082601133818630818643540686683 (234 digits)
  523. Fri Apr 17 15:51:41 2026 no P-1/P+1/ECM available, skipping
  524. Fri Apr 17 15:51:41 2026 commencing number field sieve (234-digit input)
  525. Fri Apr 17 15:51:41 2026 R0: 414755733096433817150624214133805406119830687
  526. Fri Apr 17 15:51:41 2026 R1: -1
  527. Fri Apr 17 15:51:41 2026 A0: -223
  528. Fri Apr 17 15:51:41 2026 A1: 0
  529. Fri Apr 17 15:51:41 2026 A2: 0
  530. Fri Apr 17 15:51:41 2026 A3: 0
  531. Fri Apr 17 15:51:41 2026 A4: 0
  532. Fri Apr 17 15:51:41 2026 A5: 0
  533. Fri Apr 17 15:51:41 2026 A6: 1
  534. Fri Apr 17 15:51:41 2026 skew 3.20, size 3.656e-13, alpha 0.422, combined = 5.421e-14 rroots = 2
  535. Fri Apr 17 15:51:41 2026
  536. Fri Apr 17 15:51:41 2026 commencing linear algebra
  537. Fri Apr 17 15:51:41 2026 using VBITS=256
  538. Fri Apr 17 15:51:41 2026 skipping matrix build
  539. Fri Apr 17 15:51:58 2026 matrix starts at (0, 0)
  540. Fri Apr 17 15:52:02 2026 matrix is 18345009 x 18345186 (7392.6 MB) with weight 2184150113 (119.06/col)
  541. Fri Apr 17 15:52:02 2026 sparse part has weight 1736119329 (94.64/col)
  542. Fri Apr 17 15:52:02 2026 saving the first 240 matrix rows for later
  543. Fri Apr 17 15:52:08 2026 matrix includes 256 packed rows
  544. Fri Apr 17 15:52:16 2026 matrix is 18344769 x 18345186 (6902.4 MB) with weight 1596707892 (87.04/col)
  545. Fri Apr 17 15:52:16 2026 sparse part has weight 1515912853 (82.63/col)
  546. Fri Apr 17 15:52:16 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  547. Fri Apr 17 15:52:16 2026 selected card has CUDA arch 12.0
  548. Fri Apr 17 16:11:45 2026 commencing Lanczos iteration
  549. Fri Apr 17 16:11:46 2026 memory use: 16184.3 MB
  550. Fri Apr 17 16:15:07 2026 linear algebra at 0.2%, ETA 33h 3m
  551. Fri Apr 17 16:19:03 2026 checking every 10000 dimensions, checkpointing every 640000 dimensions
  552. Sat Apr 18 17:36:02 2026 lanczos halted after 71874 iterations (dim = 18344766)
  553. Sat Apr 18 17:38:01 2026 recovered 37 nontrivial dependencies
  554. Sat Apr 18 17:38:03 2026 BLanczosTime: 92782
  555. Sat Apr 18 17:38:03 2026 elapsed time 25:46:23
  556. Sat Apr 18 17:45:09 2026
  557. Sat Apr 18 17:45:09 2026
  558. Sat Apr 18 17:45:09 2026 Msieve v. 1.54 (SVN unknown)
  559. Sat Apr 18 17:45:09 2026 random seeds: e580e699 f042eb3b
  560. Sat Apr 18 17:45:09 2026 Using 8 OpenMP threads
  561. Sat Apr 18 17:45:09 2026 factoring 653235627795588770204006644261041848327151179774705157063474843428966927318308859236986206796391471824756322749088743107039305377699307930525616101476790535573685899923275361288437767748350735223375304636082601133818630818643540686683 (234 digits)
  562. Sat Apr 18 17:45:10 2026 no P-1/P+1/ECM available, skipping
  563. Sat Apr 18 17:45:10 2026 commencing number field sieve (234-digit input)
  564. Sat Apr 18 17:45:10 2026 R0: 414755733096433817150624214133805406119830687
  565. Sat Apr 18 17:45:10 2026 R1: -1
  566. Sat Apr 18 17:45:10 2026 A0: -223
  567. Sat Apr 18 17:45:10 2026 A1: 0
  568. Sat Apr 18 17:45:10 2026 A2: 0
  569. Sat Apr 18 17:45:10 2026 A3: 0
  570. Sat Apr 18 17:45:10 2026 A4: 0
  571. Sat Apr 18 17:45:10 2026 A5: 0
  572. Sat Apr 18 17:45:10 2026 A6: 1
  573. Sat Apr 18 17:45:10 2026 skew 3.20, size 3.656e-13, alpha 0.422, combined = 5.421e-14 rroots = 2
  574. Sat Apr 18 17:45:10 2026
  575. Sat Apr 18 17:45:10 2026 commencing square root phase
  576. Sat Apr 18 17:45:10 2026 reading relations for dependency 1
  577. Sat Apr 18 17:45:12 2026 read 9172107 cycles
  578. Sat Apr 18 17:45:23 2026 cycles contain 29082126 unique relations
  579. Sat Apr 18 17:47:44 2026 read 29082126 relations
  580. Sat Apr 18 17:49:03 2026 multiplying 29082126 relations
  581. Sat Apr 18 17:50:24 2026 multiply complete, coefficients have about 779.75 million bits
  582. Sat Apr 18 17:50:26 2026 initial square root is modulo 9898159
  583. Sat Apr 18 17:52:59 2026 found factor: 75659018850213457366785201815739436860589737896400215980582706451070156758081512435569670771
  584. Sat Apr 18 17:52:59 2026 reading relations for dependency 2
  585. Sat Apr 18 17:53:01 2026 read 9171531 cycles
  586. Sat Apr 18 17:53:09 2026 cycles contain 29077520 unique relations
  587. Sat Apr 18 17:55:41 2026 read 29077520 relations
  588. Sat Apr 18 17:56:58 2026 multiplying 29077520 relations
  589. Sat Apr 18 17:58:21 2026 multiply complete, coefficients have about 779.64 million bits
  590. Sat Apr 18 17:58:22 2026 initial square root is modulo 9874537
  591. Sat Apr 18 18:00:59 2026 sqrtTime: 949
  592. Sat Apr 18 18:00:59 2026 p63 factor: 167767033118414977984079499790086666600218232177711972217947959
  593. Sat Apr 18 18:00:59 2026 p80 factor: 51463880979697816845609638797339975196170904406825348105784630893251914729277647
  594. Sat Apr 18 18:00:59 2026 p92 factor: 75659018850213457366785201815739436860589737896400215980582706451070156758081512435569670771
  595. Sat Apr 18 18:00:59 2026 elapsed time 00:15:50
  596.  
Tags: math
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