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kyleaskine
Apr 18th, 2026
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  1. Fri Apr 17 19:56:19 2026
  2. Fri Apr 17 19:56:19 2026
  3. Fri Apr 17 19:56:19 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Apr 17 19:56:19 2026 random seeds: 8f016cc2 8d4a3b1d
  5. Fri Apr 17 19:56:19 2026 Using 12 OpenMP threads
  6. Fri Apr 17 19:56:19 2026 factoring 1298333010709451369872328295685368078482454400783613682036089020921851567094337836519843365240713583630441889928685249394439986477150645545131619646493248760049053000878918183 (175 digits)
  7. Fri Apr 17 19:56:19 2026 no P-1/P+1/ECM available, skipping
  8. Fri Apr 17 19:56:19 2026 commencing number field sieve (175-digit input)
  9. Fri Apr 17 19:56:19 2026 R0: -12295738456360951186784317848126559
  10. Fri Apr 17 19:56:19 2026 R1: 1505764708880592240767
  11. Fri Apr 17 19:56:19 2026 A0: -10228347112003497280123241428016903116236240
  12. Fri Apr 17 19:56:19 2026 A1: 1401248575314610457036485328340248856
  13. Fri Apr 17 19:56:19 2026 A2: 46413760023930585355148264636
  14. Fri Apr 17 19:56:19 2026 A3: 104266535533189147520
  15. Fri Apr 17 19:56:19 2026 A4: -2515561965367
  16. Fri Apr 17 19:56:19 2026 A5: 4620
  17. Fri Apr 17 19:56:19 2026 skew 131009294.15, size 7.196e-17, alpha -7.514, combined = 2.371e-13 rroots = 5
  18. Fri Apr 17 19:56:19 2026
  19. Fri Apr 17 19:56:19 2026 commencing relation filtering
  20. Fri Apr 17 19:56:19 2026 setting 3 target densities:Fri Apr 17 19:56:19 2026 90Fri Apr 17 19:56:19 2026 110Fri Apr 17 19:56:19 2026 130Fri Apr 17 19:56:19 2026
  21. Fri Apr 17 19:56:19 2026 estimated available RAM is 78540.1 MB
  22. Fri Apr 17 19:56:19 2026 commencing duplicate removal, pass 1
  23. Fri Apr 17 19:58:13 2026 error -1 reading relation 137576436
  24. Fri Apr 17 19:58:14 2026 error -1 reading relation 137689273
  25. Fri Apr 17 19:58:46 2026 error -1 reading relation 177539118
  26. Fri Apr 17 19:58:54 2026 error -1 reading relation 188207752
  27. Fri Apr 17 19:58:56 2026 error -1 reading relation 190544509
  28. Fri Apr 17 19:58:56 2026 error -1 reading relation 190901629
  29. Fri Apr 17 19:58:57 2026 error -1 reading relation 192207708
  30. Fri Apr 17 19:59:07 2026 error -1 reading relation 204507520
  31. Fri Apr 17 19:59:22 2026 error -1 reading relation 217799390
  32. Fri Apr 17 19:59:46 2026 error -15 reading relation 237154192
  33. Fri Apr 17 20:00:02 2026 error -1 reading relation 251058901
  34. Fri Apr 17 20:00:08 2026 error -1 reading relation 257366780
  35. Fri Apr 17 20:00:09 2026 error -1 reading relation 258142108
  36. Fri Apr 17 20:01:13 2026 error -1 reading relation 330951121
  37. Fri Apr 17 20:01:18 2026 skipped 1 relations with b > 2^32
  38. Fri Apr 17 20:01:18 2026 skipped 3 relations with composite factors
  39. Fri Apr 17 20:01:18 2026 skipped 154 malformed relations
  40. Fri Apr 17 20:01:18 2026 found 68987662 hash collisions in 336951818 relations
  41. Fri Apr 17 20:01:30 2026 added 121521 free relations
  42. Fri Apr 17 20:01:30 2026 commencing duplicate removal, pass 2
  43. Fri Apr 17 20:03:28 2026 found 72529899 duplicates and 264543440 unique relations
  44. Fri Apr 17 20:03:28 2026 memory use: 1705.5 MB
  45. Fri Apr 17 20:03:29 2026 reading ideals above 720000
  46. Fri Apr 17 20:03:29 2026 commencing singleton removal, initial pass
  47. Fri Apr 17 20:12:47 2026 memory use: 6024.0 MB
  48. Fri Apr 17 20:12:48 2026 reading all ideals from disk
  49. Fri Apr 17 20:12:52 2026 memory use: 12530.6 MB
  50. Fri Apr 17 20:13:08 2026 keeping 246760946 ideals with weight <= 200, target excess is 1451237
  51. Fri Apr 17 20:13:27 2026 commencing in-memory singleton removal
  52. Fri Apr 17 20:13:29 2026 begin with 264543440 relations and 246760946 unique ideals
  53. Fri Apr 17 20:13:52 2026 reduce to 161834847 relations and 133044116 ideals in 17 passes
  54. Fri Apr 17 20:13:52 2026 max relations containing the same ideal: 156
  55. Fri Apr 17 20:13:55 2026 trying target density 90
  56. Fri Apr 17 20:14:32 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques
  57. Fri Apr 17 20:14:35 2026 commencing in-memory singleton removal
  58. Fri Apr 17 20:14:37 2026 begin with 149407873 relations and 133044116 unique ideals
  59. Fri Apr 17 20:14:45 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes
  60. Fri Apr 17 20:14:45 2026 max relations containing the same ideal: 149
  61. Fri Apr 17 20:15:21 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques
  62. Fri Apr 17 20:15:23 2026 commencing in-memory singleton removal
  63. Fri Apr 17 20:15:25 2026 begin with 139219454 relations and 121849602 unique ideals
  64. Fri Apr 17 20:15:32 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes
  65. Fri Apr 17 20:15:32 2026 max relations containing the same ideal: 142
  66. Fri Apr 17 20:16:03 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques
  67. Fri Apr 17 20:16:06 2026 commencing in-memory singleton removal
  68. Fri Apr 17 20:16:07 2026 begin with 130201071 relations and 113913198 unique ideals
  69. Fri Apr 17 20:16:14 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes
  70. Fri Apr 17 20:16:14 2026 max relations containing the same ideal: 136
  71. Fri Apr 17 20:16:43 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques
  72. Fri Apr 17 20:16:45 2026 commencing in-memory singleton removal
  73. Fri Apr 17 20:16:46 2026 begin with 121714926 relations and 106948142 unique ideals
  74. Fri Apr 17 20:16:52 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes
  75. Fri Apr 17 20:16:52 2026 max relations containing the same ideal: 130
  76. Fri Apr 17 20:17:21 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques
  77. Fri Apr 17 20:17:24 2026 commencing in-memory singleton removal
  78. Fri Apr 17 20:17:25 2026 begin with 113539158 relations and 100477084 unique ideals
  79. Fri Apr 17 20:17:30 2026 reduce to 113130355 relations and 94301842 ideals in 7 passes
  80. Fri Apr 17 20:17:30 2026 max relations containing the same ideal: 125
  81. Fri Apr 17 20:18:02 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques
  82. Fri Apr 17 20:18:04 2026 commencing in-memory singleton removal
  83. Fri Apr 17 20:18:05 2026 begin with 105557141 relations and 94301842 unique ideals
  84. Fri Apr 17 20:18:10 2026 reduce to 105143631 relations and 88308622 ideals in 8 passes
  85. Fri Apr 17 20:18:10 2026 max relations containing the same ideal: 117
  86. Fri Apr 17 20:18:36 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques
  87. Fri Apr 17 20:18:38 2026 commencing in-memory singleton removal
  88. Fri Apr 17 20:18:39 2026 begin with 97689440 relations and 88308622 unique ideals
  89. Fri Apr 17 20:18:44 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes
  90. Fri Apr 17 20:18:44 2026 max relations containing the same ideal: 114
  91. Fri Apr 17 20:19:08 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques
  92. Fri Apr 17 20:19:10 2026 commencing in-memory singleton removal
  93. Fri Apr 17 20:19:11 2026 begin with 89881241 relations and 82418574 unique ideals
  94. Fri Apr 17 20:19:14 2026 reduce to 89431650 relations and 76581103 ideals in 7 passes
  95. Fri Apr 17 20:19:14 2026 max relations containing the same ideal: 109
  96. Fri Apr 17 20:19:37 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques
  97. Fri Apr 17 20:19:39 2026 commencing in-memory singleton removal
  98. Fri Apr 17 20:19:40 2026 begin with 82078987 relations and 76581103 unique ideals
  99. Fri Apr 17 20:19:44 2026 reduce to 81593872 relations and 70733729 ideals in 8 passes
  100. Fri Apr 17 20:19:44 2026 max relations containing the same ideal: 103
  101. Fri Apr 17 20:20:04 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques
  102. Fri Apr 17 20:20:05 2026 commencing in-memory singleton removal
  103. Fri Apr 17 20:20:06 2026 begin with 74235481 relations and 70733729 unique ideals
  104. Fri Apr 17 20:20:10 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes
  105. Fri Apr 17 20:20:10 2026 max relations containing the same ideal: 96
  106. Fri Apr 17 20:20:28 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques
  107. Fri Apr 17 20:20:30 2026 commencing in-memory singleton removal
  108. Fri Apr 17 20:20:30 2026 begin with 66302754 relations and 64832962 unique ideals
  109. Fri Apr 17 20:20:33 2026 reduce to 65703872 relations and 58818591 ideals in 8 passes
  110. Fri Apr 17 20:20:33 2026 max relations containing the same ideal: 88
  111. Fri Apr 17 20:20:50 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques
  112. Fri Apr 17 20:20:52 2026 commencing in-memory singleton removal
  113. Fri Apr 17 20:20:52 2026 begin with 58216297 relations and 58818591 unique ideals
  114. Fri Apr 17 20:20:55 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes
  115. Fri Apr 17 20:20:55 2026 max relations containing the same ideal: 82
  116. Fri Apr 17 20:21:10 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques
  117. Fri Apr 17 20:21:12 2026 commencing in-memory singleton removal
  118. Fri Apr 17 20:21:12 2026 begin with 49892527 relations and 52618513 unique ideals
  119. Fri Apr 17 20:21:14 2026 reduce to 49043427 relations and 46114919 ideals in 8 passes
  120. Fri Apr 17 20:21:14 2026 max relations containing the same ideal: 75
  121. Fri Apr 17 20:21:28 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques
  122. Fri Apr 17 20:21:29 2026 commencing in-memory singleton removal
  123. Fri Apr 17 20:21:30 2026 begin with 43603464 relations and 46114919 unique ideals
  124. Fri Apr 17 20:21:32 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes
  125. Fri Apr 17 20:21:32 2026 max relations containing the same ideal: 66
  126. Fri Apr 17 20:21:44 2026 removing 103584 relations and 92505 ideals in 11079 cliques
  127. Fri Apr 17 20:21:44 2026 commencing in-memory singleton removal
  128. Fri Apr 17 20:21:44 2026 begin with 43001838 relations and 41410908 unique ideals
  129. Fri Apr 17 20:21:46 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes
  130. Fri Apr 17 20:21:46 2026 max relations containing the same ideal: 66
  131. Fri Apr 17 20:21:48 2026 relations with 0 large ideals: 6142
  132. Fri Apr 17 20:21:48 2026 relations with 1 large ideals: 60960
  133. Fri Apr 17 20:21:48 2026 relations with 2 large ideals: 626422
  134. Fri Apr 17 20:21:48 2026 relations with 3 large ideals: 2995067
  135. Fri Apr 17 20:21:48 2026 relations with 4 large ideals: 7807730
  136. Fri Apr 17 20:21:48 2026 relations with 5 large ideals: 11934859
  137. Fri Apr 17 20:21:48 2026 relations with 6 large ideals: 11038850
  138. Fri Apr 17 20:21:48 2026 relations with 7+ large ideals: 8531642
  139. Fri Apr 17 20:21:48 2026 commencing 2-way merge
  140. Fri Apr 17 20:22:06 2026 reduce to 25969705 relation sets and 24286270 unique ideals
  141. Fri Apr 17 20:22:06 2026 commencing full merge
  142. Fri Apr 17 20:26:14 2026 memory use: 2650.3 MB
  143. Fri Apr 17 20:26:18 2026 found 12558611 cycles, need 12332470
  144. Fri Apr 17 20:26:20 2026 weight of 12332470 cycles is about 1110037069 (90.01/cycle)
  145. Fri Apr 17 20:26:20 2026 distribution of cycle lengths:
  146. Fri Apr 17 20:26:20 2026 1 relations: 1152277
  147. Fri Apr 17 20:26:20 2026 2 relations: 1105154
  148. Fri Apr 17 20:26:20 2026 3 relations: 1183447
  149. Fri Apr 17 20:26:20 2026 4 relations: 1186736
  150. Fri Apr 17 20:26:20 2026 5 relations: 1152059
  151. Fri Apr 17 20:26:20 2026 6 relations: 1101049
  152. Fri Apr 17 20:26:20 2026 7 relations: 1011587
  153. Fri Apr 17 20:26:20 2026 8 relations: 908456
  154. Fri Apr 17 20:26:20 2026 9 relations: 789350
  155. Fri Apr 17 20:26:20 2026 10+ relations: 2742355
  156. Fri Apr 17 20:26:20 2026 heaviest cycle: 21 relations
  157. Fri Apr 17 20:26:22 2026 commencing cycle optimization
  158. Fri Apr 17 20:26:37 2026 start with 79433042 relations
  159. Fri Apr 17 20:27:55 2026 pruned 2161901 relations
  160. Fri Apr 17 20:27:56 2026 memory use: 2551.3 MB
  161. Fri Apr 17 20:27:56 2026 distribution of cycle lengths:
  162. Fri Apr 17 20:27:56 2026 1 relations: 1152277
  163. Fri Apr 17 20:27:56 2026 2 relations: 1131750
  164. Fri Apr 17 20:27:56 2026 3 relations: 1226389
  165. Fri Apr 17 20:27:56 2026 4 relations: 1220807
  166. Fri Apr 17 20:27:56 2026 5 relations: 1191096
  167. Fri Apr 17 20:27:56 2026 6 relations: 1130812
  168. Fri Apr 17 20:27:56 2026 7 relations: 1037353
  169. Fri Apr 17 20:27:56 2026 8 relations: 922630
  170. Fri Apr 17 20:27:56 2026 9 relations: 794317
  171. Fri Apr 17 20:27:56 2026 10+ relations: 2525039
  172. Fri Apr 17 20:27:56 2026 heaviest cycle: 20 relations
  173. Fri Apr 17 20:28:15 2026 trying target density 110
  174. Fri Apr 17 20:29:02 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques
  175. Fri Apr 17 20:29:06 2026 commencing in-memory singleton removal
  176. Fri Apr 17 20:29:07 2026 begin with 149407873 relations and 133044116 unique ideals
  177. Fri Apr 17 20:29:15 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes
  178. Fri Apr 17 20:29:15 2026 max relations containing the same ideal: 149
  179. Fri Apr 17 20:29:50 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques
  180. Fri Apr 17 20:29:53 2026 commencing in-memory singleton removal
  181. Fri Apr 17 20:29:54 2026 begin with 139219454 relations and 121849602 unique ideals
  182. Fri Apr 17 20:30:02 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes
  183. Fri Apr 17 20:30:02 2026 max relations containing the same ideal: 142
  184. Fri Apr 17 20:30:33 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques
  185. Fri Apr 17 20:30:36 2026 commencing in-memory singleton removal
  186. Fri Apr 17 20:30:37 2026 begin with 130201071 relations and 113913198 unique ideals
  187. Fri Apr 17 20:30:44 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes
  188. Fri Apr 17 20:30:44 2026 max relations containing the same ideal: 136
  189. Fri Apr 17 20:31:11 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques
  190. Fri Apr 17 20:31:14 2026 commencing in-memory singleton removal
  191. Fri Apr 17 20:31:15 2026 begin with 121714926 relations and 106948142 unique ideals
  192. Fri Apr 17 20:31:20 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes
  193. Fri Apr 17 20:31:20 2026 max relations containing the same ideal: 130
  194. Fri Apr 17 20:31:47 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques
  195. Fri Apr 17 20:31:50 2026 commencing in-memory singleton removal
  196. Fri Apr 17 20:31:51 2026 begin with 113539158 relations and 100477084 unique ideals
  197. Fri Apr 17 20:31:56 2026 reduce to 113130355 relations and 94301842 ideals in 7 passes
  198. Fri Apr 17 20:31:56 2026 max relations containing the same ideal: 125
  199. Fri Apr 17 20:32:22 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques
  200. Fri Apr 17 20:32:24 2026 commencing in-memory singleton removal
  201. Fri Apr 17 20:32:25 2026 begin with 105557141 relations and 94301842 unique ideals
  202. Fri Apr 17 20:32:30 2026 reduce to 105143631 relations and 88308622 ideals in 7 passes
  203. Fri Apr 17 20:32:30 2026 max relations containing the same ideal: 117
  204. Fri Apr 17 20:32:56 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques
  205. Fri Apr 17 20:32:58 2026 commencing in-memory singleton removal
  206. Fri Apr 17 20:32:59 2026 begin with 97689440 relations and 88308622 unique ideals
  207. Fri Apr 17 20:33:03 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes
  208. Fri Apr 17 20:33:03 2026 max relations containing the same ideal: 114
  209. Fri Apr 17 20:33:25 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques
  210. Fri Apr 17 20:33:27 2026 commencing in-memory singleton removal
  211. Fri Apr 17 20:33:28 2026 begin with 89881241 relations and 82418574 unique ideals
  212. Fri Apr 17 20:33:32 2026 reduce to 89431650 relations and 76581103 ideals in 7 passes
  213. Fri Apr 17 20:33:32 2026 max relations containing the same ideal: 109
  214. Fri Apr 17 20:33:53 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques
  215. Fri Apr 17 20:33:54 2026 commencing in-memory singleton removal
  216. Fri Apr 17 20:33:55 2026 begin with 82078987 relations and 76581103 unique ideals
  217. Fri Apr 17 20:33:59 2026 reduce to 81593872 relations and 70733729 ideals in 8 passes
  218. Fri Apr 17 20:33:59 2026 max relations containing the same ideal: 103
  219. Fri Apr 17 20:34:19 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques
  220. Fri Apr 17 20:34:21 2026 commencing in-memory singleton removal
  221. Fri Apr 17 20:34:21 2026 begin with 74235481 relations and 70733729 unique ideals
  222. Fri Apr 17 20:34:25 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes
  223. Fri Apr 17 20:34:25 2026 max relations containing the same ideal: 96
  224. Fri Apr 17 20:34:44 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques
  225. Fri Apr 17 20:34:45 2026 commencing in-memory singleton removal
  226. Fri Apr 17 20:34:46 2026 begin with 66302754 relations and 64832962 unique ideals
  227. Fri Apr 17 20:34:49 2026 reduce to 65703872 relations and 58818591 ideals in 7 passes
  228. Fri Apr 17 20:34:49 2026 max relations containing the same ideal: 88
  229. Fri Apr 17 20:35:06 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques
  230. Fri Apr 17 20:35:08 2026 commencing in-memory singleton removal
  231. Fri Apr 17 20:35:08 2026 begin with 58216297 relations and 58818591 unique ideals
  232. Fri Apr 17 20:35:11 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes
  233. Fri Apr 17 20:35:11 2026 max relations containing the same ideal: 82
  234. Fri Apr 17 20:35:26 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques
  235. Fri Apr 17 20:35:28 2026 commencing in-memory singleton removal
  236. Fri Apr 17 20:35:28 2026 begin with 49892527 relations and 52618513 unique ideals
  237. Fri Apr 17 20:35:31 2026 reduce to 49043427 relations and 46114919 ideals in 9 passes
  238. Fri Apr 17 20:35:31 2026 max relations containing the same ideal: 75
  239. Fri Apr 17 20:35:44 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques
  240. Fri Apr 17 20:35:45 2026 commencing in-memory singleton removal
  241. Fri Apr 17 20:35:45 2026 begin with 43603464 relations and 46114919 unique ideals
  242. Fri Apr 17 20:35:48 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes
  243. Fri Apr 17 20:35:48 2026 max relations containing the same ideal: 66
  244. Fri Apr 17 20:35:59 2026 removing 103584 relations and 92505 ideals in 11079 cliques
  245. Fri Apr 17 20:36:00 2026 commencing in-memory singleton removal
  246. Fri Apr 17 20:36:00 2026 begin with 43001838 relations and 41410908 unique ideals
  247. Fri Apr 17 20:36:01 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes
  248. Fri Apr 17 20:36:01 2026 max relations containing the same ideal: 66
  249. Fri Apr 17 20:36:04 2026 relations with 0 large ideals: 6142
  250. Fri Apr 17 20:36:04 2026 relations with 1 large ideals: 60960
  251. Fri Apr 17 20:36:04 2026 relations with 2 large ideals: 626422
  252. Fri Apr 17 20:36:04 2026 relations with 3 large ideals: 2995067
  253. Fri Apr 17 20:36:04 2026 relations with 4 large ideals: 7807730
  254. Fri Apr 17 20:36:04 2026 relations with 5 large ideals: 11934859
  255. Fri Apr 17 20:36:04 2026 relations with 6 large ideals: 11038850
  256. Fri Apr 17 20:36:04 2026 relations with 7+ large ideals: 8531642
  257. Fri Apr 17 20:36:04 2026 commencing 2-way merge
  258. Fri Apr 17 20:36:20 2026 reduce to 25969705 relation sets and 24286270 unique ideals
  259. Fri Apr 17 20:36:20 2026 commencing full merge
  260. Fri Apr 17 20:41:11 2026 memory use: 2690.1 MB
  261. Fri Apr 17 20:41:13 2026 found 11648374 cycles, need 11460470
  262. Fri Apr 17 20:41:16 2026 weight of 11460470 cycles is about 1260999975 (110.03/cycle)
  263. Fri Apr 17 20:41:16 2026 distribution of cycle lengths:
  264. Fri Apr 17 20:41:16 2026 1 relations: 893485
  265. Fri Apr 17 20:41:16 2026 2 relations: 813390
  266. Fri Apr 17 20:41:16 2026 3 relations: 870967
  267. Fri Apr 17 20:41:16 2026 4 relations: 871507
  268. Fri Apr 17 20:41:16 2026 5 relations: 882310
  269. Fri Apr 17 20:41:16 2026 6 relations: 871156
  270. Fri Apr 17 20:41:16 2026 7 relations: 846621
  271. Fri Apr 17 20:41:16 2026 8 relations: 798169
  272. Fri Apr 17 20:41:16 2026 9 relations: 737797
  273. Fri Apr 17 20:41:16 2026 10+ relations: 3875068
  274. Fri Apr 17 20:41:16 2026 heaviest cycle: 25 relations
  275. Fri Apr 17 20:41:18 2026 commencing cycle optimization
  276. Fri Apr 17 20:41:35 2026 start with 89867327 relations
  277. Fri Apr 17 20:43:24 2026 pruned 3135279 relations
  278. Fri Apr 17 20:43:25 2026 memory use: 2653.4 MB
  279. Fri Apr 17 20:43:25 2026 distribution of cycle lengths:
  280. Fri Apr 17 20:43:25 2026 1 relations: 893485
  281. Fri Apr 17 20:43:25 2026 2 relations: 834473
  282. Fri Apr 17 20:43:25 2026 3 relations: 904415
  283. Fri Apr 17 20:43:25 2026 4 relations: 901628
  284. Fri Apr 17 20:43:25 2026 5 relations: 919431
  285. Fri Apr 17 20:43:25 2026 6 relations: 904158
  286. Fri Apr 17 20:43:25 2026 7 relations: 879598
  287. Fri Apr 17 20:43:25 2026 8 relations: 824511
  288. Fri Apr 17 20:43:25 2026 9 relations: 760519
  289. Fri Apr 17 20:43:25 2026 10+ relations: 3638252
  290. Fri Apr 17 20:43:25 2026 heaviest cycle: 25 relations
  291. Fri Apr 17 20:43:40 2026 trying target density 130
  292. Fri Apr 17 20:44:15 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques
  293. Fri Apr 17 20:44:18 2026 commencing in-memory singleton removal
  294. Fri Apr 17 20:44:19 2026 begin with 149407873 relations and 133044116 unique ideals
  295. Fri Apr 17 20:44:26 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes
  296. Fri Apr 17 20:44:26 2026 max relations containing the same ideal: 149
  297. Fri Apr 17 20:44:59 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques
  298. Fri Apr 17 20:45:01 2026 commencing in-memory singleton removal
  299. Fri Apr 17 20:45:03 2026 begin with 139219454 relations and 121849602 unique ideals
  300. Fri Apr 17 20:45:10 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes
  301. Fri Apr 17 20:45:10 2026 max relations containing the same ideal: 142
  302. Fri Apr 17 20:45:42 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques
  303. Fri Apr 17 20:45:44 2026 commencing in-memory singleton removal
  304. Fri Apr 17 20:45:45 2026 begin with 130201071 relations and 113913198 unique ideals
  305. Fri Apr 17 20:45:52 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes
  306. Fri Apr 17 20:45:52 2026 max relations containing the same ideal: 136
  307. Fri Apr 17 20:46:27 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques
  308. Fri Apr 17 20:46:30 2026 commencing in-memory singleton removal
  309. Fri Apr 17 20:46:31 2026 begin with 121714926 relations and 106948142 unique ideals
  310. Fri Apr 17 20:46:37 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes
  311. Fri Apr 17 20:46:37 2026 max relations containing the same ideal: 130
  312. Fri Apr 17 20:47:04 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques
  313. Fri Apr 17 20:47:06 2026 commencing in-memory singleton removal
  314. Fri Apr 17 20:47:07 2026 begin with 113539158 relations and 100477084 unique ideals
  315. Fri Apr 17 20:47:13 2026 reduce to 113130355 relations and 94301842 ideals in 8 passes
  316. Fri Apr 17 20:47:13 2026 max relations containing the same ideal: 125
  317. Fri Apr 17 20:47:37 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques
  318. Fri Apr 17 20:47:39 2026 commencing in-memory singleton removal
  319. Fri Apr 17 20:47:40 2026 begin with 105557141 relations and 94301842 unique ideals
  320. Fri Apr 17 20:47:45 2026 reduce to 105143631 relations and 88308622 ideals in 8 passes
  321. Fri Apr 17 20:47:45 2026 max relations containing the same ideal: 117
  322. Fri Apr 17 20:48:08 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques
  323. Fri Apr 17 20:48:10 2026 commencing in-memory singleton removal
  324. Fri Apr 17 20:48:11 2026 begin with 97689440 relations and 88308622 unique ideals
  325. Fri Apr 17 20:48:15 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes
  326. Fri Apr 17 20:48:15 2026 max relations containing the same ideal: 114
  327. Fri Apr 17 20:48:37 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques
  328. Fri Apr 17 20:48:39 2026 commencing in-memory singleton removal
  329. Fri Apr 17 20:48:40 2026 begin with 89881241 relations and 82418574 unique ideals
  330. Fri Apr 17 20:48:44 2026 reduce to 89431650 relations and 76581103 ideals in 8 passes
  331. Fri Apr 17 20:48:44 2026 max relations containing the same ideal: 109
  332. Fri Apr 17 20:49:04 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques
  333. Fri Apr 17 20:49:06 2026 commencing in-memory singleton removal
  334. Fri Apr 17 20:49:06 2026 begin with 82078987 relations and 76581103 unique ideals
  335. Fri Apr 17 20:49:10 2026 reduce to 81593872 relations and 70733729 ideals in 7 passes
  336. Fri Apr 17 20:49:10 2026 max relations containing the same ideal: 103
  337. Fri Apr 17 20:49:28 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques
  338. Fri Apr 17 20:49:30 2026 commencing in-memory singleton removal
  339. Fri Apr 17 20:49:31 2026 begin with 74235481 relations and 70733729 unique ideals
  340. Fri Apr 17 20:49:34 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes
  341. Fri Apr 17 20:49:34 2026 max relations containing the same ideal: 96
  342. Fri Apr 17 20:49:51 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques
  343. Fri Apr 17 20:49:53 2026 commencing in-memory singleton removal
  344. Fri Apr 17 20:49:53 2026 begin with 66302754 relations and 64832962 unique ideals
  345. Fri Apr 17 20:49:56 2026 reduce to 65703872 relations and 58818591 ideals in 8 passes
  346. Fri Apr 17 20:49:56 2026 max relations containing the same ideal: 88
  347. Fri Apr 17 20:50:12 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques
  348. Fri Apr 17 20:50:14 2026 commencing in-memory singleton removal
  349. Fri Apr 17 20:50:14 2026 begin with 58216297 relations and 58818591 unique ideals
  350. Fri Apr 17 20:50:17 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes
  351. Fri Apr 17 20:50:17 2026 max relations containing the same ideal: 82
  352. Fri Apr 17 20:50:32 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques
  353. Fri Apr 17 20:50:33 2026 commencing in-memory singleton removal
  354. Fri Apr 17 20:50:34 2026 begin with 49892527 relations and 52618513 unique ideals
  355. Fri Apr 17 20:50:36 2026 reduce to 49043427 relations and 46114919 ideals in 9 passes
  356. Fri Apr 17 20:50:36 2026 max relations containing the same ideal: 75
  357. Fri Apr 17 20:50:49 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques
  358. Fri Apr 17 20:50:51 2026 commencing in-memory singleton removal
  359. Fri Apr 17 20:50:51 2026 begin with 43603464 relations and 46114919 unique ideals
  360. Fri Apr 17 20:50:53 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes
  361. Fri Apr 17 20:50:53 2026 max relations containing the same ideal: 66
  362. Fri Apr 17 20:51:05 2026 removing 103584 relations and 92505 ideals in 11079 cliques
  363. Fri Apr 17 20:51:06 2026 commencing in-memory singleton removal
  364. Fri Apr 17 20:51:06 2026 begin with 43001838 relations and 41410908 unique ideals
  365. Fri Apr 17 20:51:07 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes
  366. Fri Apr 17 20:51:07 2026 max relations containing the same ideal: 66
  367. Fri Apr 17 20:51:10 2026 relations with 0 large ideals: 6142
  368. Fri Apr 17 20:51:10 2026 relations with 1 large ideals: 60960
  369. Fri Apr 17 20:51:10 2026 relations with 2 large ideals: 626422
  370. Fri Apr 17 20:51:10 2026 relations with 3 large ideals: 2995067
  371. Fri Apr 17 20:51:10 2026 relations with 4 large ideals: 7807730
  372. Fri Apr 17 20:51:10 2026 relations with 5 large ideals: 11934859
  373. Fri Apr 17 20:51:10 2026 relations with 6 large ideals: 11038850
  374. Fri Apr 17 20:51:10 2026 relations with 7+ large ideals: 8531642
  375. Fri Apr 17 20:51:10 2026 commencing 2-way merge
  376. Fri Apr 17 20:51:27 2026 reduce to 25969705 relation sets and 24286270 unique ideals
  377. Fri Apr 17 20:51:27 2026 commencing full merge
  378. Fri Apr 17 20:56:53 2026 memory use: 2703.5 MB
  379. Fri Apr 17 20:56:54 2026 found 10916446 cycles, need 10834470
  380. Fri Apr 17 20:56:57 2026 weight of 10834470 cycles is about 1408858953 (130.03/cycle)
  381. Fri Apr 17 20:56:57 2026 distribution of cycle lengths:
  382. Fri Apr 17 20:56:57 2026 1 relations: 716645
  383. Fri Apr 17 20:56:57 2026 2 relations: 638801
  384. Fri Apr 17 20:56:57 2026 3 relations: 676756
  385. Fri Apr 17 20:56:57 2026 4 relations: 687471
  386. Fri Apr 17 20:56:57 2026 5 relations: 707589
  387. Fri Apr 17 20:56:57 2026 6 relations: 702138
  388. Fri Apr 17 20:56:57 2026 7 relations: 708729
  389. Fri Apr 17 20:56:57 2026 8 relations: 675904
  390. Fri Apr 17 20:56:57 2026 9 relations: 654760
  391. Fri Apr 17 20:56:57 2026 10+ relations: 4665677
  392. Fri Apr 17 20:56:57 2026 heaviest cycle: 28 relations
  393. Fri Apr 17 20:56:59 2026 commencing cycle optimization
  394. Fri Apr 17 20:57:17 2026 start with 99942498 relations
  395. Fri Apr 17 20:59:39 2026 pruned 4163866 relations
  396. Fri Apr 17 20:59:39 2026 memory use: 2751.7 MB
  397. Fri Apr 17 20:59:39 2026 distribution of cycle lengths:
  398. Fri Apr 17 20:59:39 2026 1 relations: 716645
  399. Fri Apr 17 20:59:39 2026 2 relations: 655776
  400. Fri Apr 17 20:59:39 2026 3 relations: 703903
  401. Fri Apr 17 20:59:39 2026 4 relations: 713358
  402. Fri Apr 17 20:59:39 2026 5 relations: 739827
  403. Fri Apr 17 20:59:39 2026 6 relations: 734596
  404. Fri Apr 17 20:59:39 2026 7 relations: 741169
  405. Fri Apr 17 20:59:39 2026 8 relations: 707282
  406. Fri Apr 17 20:59:39 2026 9 relations: 684642
  407. Fri Apr 17 20:59:39 2026 10+ relations: 4437272
  408. Fri Apr 17 20:59:39 2026 heaviest cycle: 28 relations
  409. Fri Apr 17 20:59:54 2026 RelProcTime: 3815
  410. Fri Apr 17 20:59:54 2026
  411. Fri Apr 17 20:59:54 2026 commencing linear algebra
  412. Fri Apr 17 20:59:54 2026 using VBITS=256
  413. Fri Apr 17 20:59:54 2026 building matrices for all densities
  414. Fri Apr 17 20:59:54 2026 found 3 density files
  415. Fri Apr 17 20:59:54 2026 building matrix for density 90
  416. Fri Apr 17 20:59:55 2026 read 12332470 cycles
  417. Fri Apr 17 21:00:08 2026 cycles contain 41839120 unique relations
  418. Fri Apr 17 21:00:32 2026 read 41839120 relations
  419. Fri Apr 17 21:00:39 2026 using 20 quadratic characters above 4294917295
  420. Fri Apr 17 21:00:48 2026 building initial matrix
  421. Fri Apr 17 21:05:20 2026 memory use: 5741.2 MB
  422. Fri Apr 17 21:05:24 2026 read 12332470 cycles
  423. Fri Apr 17 21:05:25 2026 matrix is 12332285 x 12332470 (4625.3 MB) with weight 1425187352 (115.56/col)
  424. Fri Apr 17 21:05:25 2026 sparse part has weight 1064504792 (86.32/col)
  425. Fri Apr 17 21:06:42 2026 filtering completed in 2 passes
  426. Fri Apr 17 21:06:44 2026 matrix is 12324154 x 12324335 (4624.5 MB) with weight 1424843953 (115.61/col)
  427. Fri Apr 17 21:06:44 2026 sparse part has weight 1064398267 (86.37/col)
  428. Fri Apr 17 21:07:05 2026 building matrix for density 110
  429. Fri Apr 17 21:07:06 2026 read 11460470 cycles
  430. Fri Apr 17 21:07:18 2026 cycles contain 41855931 unique relations
  431. Fri Apr 17 21:07:39 2026 read 41855931 relations
  432. Fri Apr 17 21:07:46 2026 using 20 quadratic characters above 4294917295
  433. Fri Apr 17 21:07:55 2026 building initial matrix
  434. Fri Apr 17 21:12:51 2026 memory use: 5752.7 MB
  435. Fri Apr 17 21:12:54 2026 read 11460470 cycles
  436. Fri Apr 17 21:12:56 2026 matrix is 11460283 x 11460470 (5062.4 MB) with weight 1545236740 (134.83/col)
  437. Fri Apr 17 21:12:56 2026 sparse part has weight 1189542663 (103.80/col)
  438. Fri Apr 17 21:14:19 2026 filtering completed in 2 passes
  439. Fri Apr 17 21:14:21 2026 matrix is 11456655 x 11456842 (5061.9 MB) with weight 1545053707 (134.86/col)
  440. Fri Apr 17 21:14:21 2026 sparse part has weight 1189476615 (103.82/col)
  441. Fri Apr 17 21:14:41 2026 building matrix for density 130
  442. Fri Apr 17 21:14:42 2026 read 10834470 cycles
  443. Fri Apr 17 21:14:55 2026 cycles contain 41859438 unique relations
  444. Fri Apr 17 21:15:16 2026 read 41859438 relations
  445. Fri Apr 17 21:15:23 2026 using 20 quadratic characters above 4294917295
  446. Fri Apr 17 21:15:32 2026 building initial matrix
  447. Fri Apr 17 21:21:10 2026 memory use: 5768.5 MB
  448. Fri Apr 17 21:21:13 2026 read 10834470 cycles
  449. Fri Apr 17 21:21:15 2026 matrix is 10834293 x 10834470 (5491.3 MB) with weight 1661908437 (153.39/col)
  450. Fri Apr 17 21:21:15 2026 sparse part has weight 1309510800 (120.87/col)
  451. Fri Apr 17 21:22:28 2026 filtering completed in 2 passes
  452. Fri Apr 17 21:22:30 2026 matrix is 10833306 x 10833483 (5491.2 MB) with weight 1661856568 (153.40/col)
  453. Fri Apr 17 21:22:30 2026 sparse part has weight 1309493280 (120.87/col)
  454. Fri Apr 17 21:22:54 2026 BLanczosTime: 1380
  455. Fri Apr 17 21:22:54 2026 elapsed time 01:26:35
  456. Sat Apr 18 10:24:10 2026
  457. Sat Apr 18 10:24:10 2026
  458. Sat Apr 18 10:24:10 2026 Msieve v. 1.54 (SVN unknown)
  459. Sat Apr 18 10:24:10 2026 random seeds: 44210e82 20ebc5c7
  460. Sat Apr 18 10:24:10 2026 Using 12 OpenMP threads
  461. Sat Apr 18 10:24:10 2026 factoring 1298333010709451369872328295685368078482454400783613682036089020921851567094337836519843365240713583630441889928685249394439986477150645545131619646493248760049053000878918183 (175 digits)
  462. Sat Apr 18 10:24:10 2026 no P-1/P+1/ECM available, skipping
  463. Sat Apr 18 10:24:10 2026 commencing number field sieve (175-digit input)
  464. Sat Apr 18 10:24:10 2026 R0: -12295738456360951186784317848126559
  465. Sat Apr 18 10:24:10 2026 R1: 1505764708880592240767
  466. Sat Apr 18 10:24:10 2026 A0: -10228347112003497280123241428016903116236240
  467. Sat Apr 18 10:24:10 2026 A1: 1401248575314610457036485328340248856
  468. Sat Apr 18 10:24:10 2026 A2: 46413760023930585355148264636
  469. Sat Apr 18 10:24:10 2026 A3: 104266535533189147520
  470. Sat Apr 18 10:24:10 2026 A4: -2515561965367
  471. Sat Apr 18 10:24:10 2026 A5: 4620
  472. Sat Apr 18 10:24:10 2026 skew 131009294.15, size 7.196e-17, alpha -7.514, combined = 2.371e-13 rroots = 5
  473. Sat Apr 18 10:24:10 2026
  474. Sat Apr 18 10:24:10 2026 commencing linear algebra
  475. Sat Apr 18 10:24:10 2026 using VBITS=256
  476. Sat Apr 18 10:24:10 2026 selecting density 110 for linear algebra
  477. Sat Apr 18 10:24:40 2026 matrix starts at (0, 0)
  478. Sat Apr 18 10:24:41 2026 matrix is 11456655 x 11456842 (5061.9 MB) with weight 1545053707 (134.86/col)
  479. Sat Apr 18 10:24:41 2026 sparse part has weight 1189476615 (103.82/col)
  480. Sat Apr 18 10:24:41 2026 saving the first 240 matrix rows for later
  481. Sat Apr 18 10:24:42 2026 matrix includes 256 packed rows
  482. Sat Apr 18 10:24:45 2026 matrix is 11456415 x 11456842 (4601.8 MB) with weight 1089770459 (95.12/col)
  483. Sat Apr 18 10:24:45 2026 sparse part has weight 1023014209 (89.29/col)
  484. Sat Apr 18 10:24:45 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  485. Sat Apr 18 10:24:45 2026 selected card has CUDA arch 12.0
  486. Sat Apr 18 10:27:35 2026 commencing Lanczos iteration
  487. Sat Apr 18 10:27:36 2026 memory use: 10689.5 MB
  488. Sat Apr 18 10:28:10 2026 linear algebra at 0.3%, ETA 3h25m
  489. Sat Apr 18 10:29:02 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  490. Sat Apr 18 15:22:26 2026 lanczos halted after 44888 iterations (dim = 11456415)
  491. Sat Apr 18 15:22:54 2026 recovered 30 nontrivial dependencies
  492. Sat Apr 18 15:22:55 2026 BLanczosTime: 17925
  493. Sat Apr 18 15:22:55 2026
  494. Sat Apr 18 15:22:55 2026 commencing square root phase
  495. Sat Apr 18 15:22:55 2026 handling dependencies 1 to 64
  496. Sat Apr 18 15:22:55 2026 reading relations for dependency 1
  497. Sat Apr 18 15:23:22 2026 read 5732571 cycles
  498. Sat Apr 18 15:23:30 2026 cycles contain 20929404 unique relations
  499. Sat Apr 18 15:27:25 2026 read 20929404 relations
  500. Sat Apr 18 15:28:19 2026 multiplying 20929404 relations
  501. Sat Apr 18 15:29:49 2026 multiply complete, coefficients have about 1095.64 million bits
  502. Sat Apr 18 15:29:51 2026 initial square root is modulo 82207
  503. Sat Apr 18 15:33:13 2026 sqrtTime: 618
  504. Sat Apr 18 15:33:13 2026 p62 factor: 38639431323265420288907149122980919804025481246033238971284657
  505. Sat Apr 18 15:33:13 2026 p113 factor: 33601245314594065347893079498763168947607604589824541216781570127901134820019123390267492799002716423905926892119
  506. Sat Apr 18 15:33:13 2026 elapsed time 05:09:03
  507.  
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