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  1. Sat Aug 30 22:48:26 2025
  2. Sat Aug 30 22:48:26 2025
  3. Sat Aug 30 22:48:26 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Aug 30 22:48:26 2025 random seeds: 0ea2602a a1ff6a8a
  5. Sat Aug 30 22:48:26 2025 MPI process 0 of 1
  6. Sat Aug 30 22:48:26 2025 Using 46 OpenMP threads
  7. Sat Aug 30 22:48:26 2025 factoring 20886508606042249944039333744230978115901056554746242531689976049419654457509565176252284282040891532873364964193171090219644043806605415598685166896799472633179048387954642078610505980498344559506260617861 (206 digits)
  8. Sat Aug 30 22:48:26 2025 no P-1/P+1/ECM available, skipping
  9. Sat Aug 30 22:48:26 2025 commencing number field sieve (206-digit input)
  10. Sat Aug 30 22:48:26 2025 R0: 1000000000000000000000000000000000000000000000
  11. Sat Aug 30 22:48:26 2025 R1: -1
  12. Sat Aug 30 22:48:26 2025 A0: -61
  13. Sat Aug 30 22:48:26 2025 A1: 0
  14. Sat Aug 30 22:48:26 2025 A2: 0
  15. Sat Aug 30 22:48:26 2025 A3: 0
  16. Sat Aug 30 22:48:26 2025 A4: 0
  17. Sat Aug 30 22:48:26 2025 A5: 0
  18. Sat Aug 30 22:48:26 2025 A6: 34000
  19. Sat Aug 30 22:48:26 2025 skew 1.00, size 1.035e-13, alpha -1.586, combined = 2.095e-14 rroots = 2
  20. Sat Aug 30 22:48:26 2025
  21. Sat Aug 30 22:48:26 2025 commencing relation filtering
  22. Sat Aug 30 22:48:26 2025 setting target matrix density to 110.0
  23. Sat Aug 30 22:48:26 2025 estimated available RAM is 385608.4 MB
  24. Sat Aug 30 22:48:26 2025 commencing duplicate removal, pass 1
  25. Sat Aug 30 22:48:39 2025 error -15 reading relation 19655307
  26. Sat Aug 30 22:49:03 2025 error -1 reading relation 57199350
  27. Sat Aug 30 22:50:55 2025 error -5 reading relation 240770603
  28. Sat Aug 30 22:51:49 2025 error -11 reading relation 329566885
  29. Sat Aug 30 22:51:50 2025 error -5 reading relation 329808480
  30. Sat Aug 30 22:51:50 2025 error -11 reading relation 329808481
  31. Sat Aug 30 22:51:50 2025 error -1 reading relation 330113054
  32. Sat Aug 30 22:51:50 2025 error -5 reading relation 330113055
  33. Sat Aug 30 22:53:11 2025 error -15 reading relation 442979491
  34. Sat Aug 30 22:55:44 2025 error -1 reading relation 688773046
  35. Sat Aug 30 22:55:44 2025 error -5 reading relation 688773047
  36. Sat Aug 30 22:55:55 2025 error -1 reading relation 708629723
  37. Sat Aug 30 22:55:57 2025 skipped 32206 relations with b > 2^32
  38. Sat Aug 30 22:55:57 2025 skipped 2 relations with composite factors
  39. Sat Aug 30 22:55:57 2025 skipped 1111 malformed relations
  40. Sat Aug 30 22:55:57 2025 found 27939095 hash collisions in 711844815 relations
  41. Sat Aug 30 22:56:09 2025 added 1217387 free relations
  42. Sat Aug 30 22:56:09 2025 commencing duplicate removal, pass 2
  43. Sat Aug 30 22:58:46 2025 found 0 duplicates and 713062202 unique relations
  44. Sat Aug 30 22:58:46 2025 memory use: 2217.5 MB
  45. Sat Aug 30 22:58:46 2025 reading ideals above 720000
  46. Sat Aug 30 22:58:46 2025 commencing singleton removal, initial pass
  47. Sat Aug 30 23:27:07 2025 memory use: 11024.0 MB
  48. Sat Aug 30 23:27:07 2025 reading all ideals from disk
  49. Sat Aug 30 23:27:26 2025 memory use: 35946.6 MB
  50. Sat Aug 30 23:29:11 2025 keeping 625371388 ideals with weight <= 200, target excess is 3667471
  51. Sat Aug 30 23:31:00 2025 commencing in-memory singleton removal
  52. Sat Aug 30 23:31:07 2025 begin with 713062202 relations and 625371388 unique ideals
  53. Sat Aug 30 23:31:36 2025 reduce to 466287092 relations and 355255824 ideals in 14 passes
  54. Sat Aug 30 23:31:36 2025 max relations containing the same ideal: 160
  55. Sat Aug 30 23:33:22 2025 removing 13378885 relations and 11378885 ideals in 2000000 cliques
  56. Sat Aug 30 23:33:34 2025 commencing in-memory singleton removal
  57. Sat Aug 30 23:33:39 2025 begin with 452908207 relations and 355255824 unique ideals
  58. Sat Aug 30 23:33:52 2025 reduce to 452638351 relations and 343605474 ideals in 8 passes
  59. Sat Aug 30 23:33:52 2025 max relations containing the same ideal: 159
  60. Sat Aug 30 23:35:29 2025 removing 10161053 relations and 8161053 ideals in 2000000 cliques
  61. Sat Aug 30 23:35:38 2025 commencing in-memory singleton removal
  62. Sat Aug 30 23:35:43 2025 begin with 442477298 relations and 343605474 unique ideals
  63. Sat Aug 30 23:35:55 2025 reduce to 442303296 relations and 335269489 ideals in 7 passes
  64. Sat Aug 30 23:35:55 2025 max relations containing the same ideal: 156
  65. Sat Aug 30 23:37:28 2025 removing 9130731 relations and 7130731 ideals in 2000000 cliques
  66. Sat Aug 30 23:37:38 2025 commencing in-memory singleton removal
  67. Sat Aug 30 23:37:42 2025 begin with 433172565 relations and 335269489 unique ideals
  68. Sat Aug 30 23:37:54 2025 reduce to 433022340 relations and 327987788 ideals in 7 passes
  69. Sat Aug 30 23:37:54 2025 max relations containing the same ideal: 153
  70. Sat Aug 30 23:39:26 2025 removing 8529987 relations and 6529987 ideals in 2000000 cliques
  71. Sat Aug 30 23:39:35 2025 commencing in-memory singleton removal
  72. Sat Aug 30 23:39:40 2025 begin with 424492353 relations and 327987788 unique ideals
  73. Sat Aug 30 23:39:51 2025 reduce to 424356270 relations and 321321059 ideals in 7 passes
  74. Sat Aug 30 23:39:51 2025 max relations containing the same ideal: 151
  75. Sat Aug 30 23:41:22 2025 removing 8126775 relations and 6126775 ideals in 2000000 cliques
  76. Sat Aug 30 23:41:31 2025 commencing in-memory singleton removal
  77. Sat Aug 30 23:41:35 2025 begin with 416229495 relations and 321321059 unique ideals
  78. Sat Aug 30 23:41:45 2025 reduce to 416102536 relations and 315066694 ideals in 6 passes
  79. Sat Aug 30 23:41:45 2025 max relations containing the same ideal: 149
  80. Sat Aug 30 23:43:14 2025 removing 7825144 relations and 5825144 ideals in 2000000 cliques
  81. Sat Aug 30 23:43:22 2025 commencing in-memory singleton removal
  82. Sat Aug 30 23:43:26 2025 begin with 408277392 relations and 315066694 unique ideals
  83. Sat Aug 30 23:43:36 2025 reduce to 408155963 relations and 309119503 ideals in 6 passes
  84. Sat Aug 30 23:43:36 2025 max relations containing the same ideal: 149
  85. Sat Aug 30 23:45:04 2025 removing 7597233 relations and 5597233 ideals in 2000000 cliques
  86. Sat Aug 30 23:45:12 2025 commencing in-memory singleton removal
  87. Sat Aug 30 23:45:16 2025 begin with 400558730 relations and 309119503 unique ideals
  88. Sat Aug 30 23:45:25 2025 reduce to 400441537 relations and 303404469 ideals in 6 passes
  89. Sat Aug 30 23:45:25 2025 max relations containing the same ideal: 149
  90. Sat Aug 30 23:46:52 2025 removing 7413171 relations and 5413171 ideals in 2000000 cliques
  91. Sat Aug 30 23:47:00 2025 commencing in-memory singleton removal
  92. Sat Aug 30 23:47:04 2025 begin with 393028366 relations and 303404469 unique ideals
  93. Sat Aug 30 23:47:14 2025 reduce to 392914552 relations and 297876920 ideals in 7 passes
  94. Sat Aug 30 23:47:14 2025 max relations containing the same ideal: 148
  95. Sat Aug 30 23:48:39 2025 removing 7266188 relations and 5266188 ideals in 2000000 cliques
  96. Sat Aug 30 23:48:47 2025 commencing in-memory singleton removal
  97. Sat Aug 30 23:48:51 2025 begin with 385648364 relations and 297876920 unique ideals
  98. Sat Aug 30 23:49:00 2025 reduce to 385536797 relations and 292498570 ideals in 6 passes
  99. Sat Aug 30 23:49:00 2025 max relations containing the same ideal: 145
  100. Sat Aug 30 23:50:24 2025 removing 7141164 relations and 5141164 ideals in 2000000 cliques
  101. Sat Aug 30 23:50:31 2025 commencing in-memory singleton removal
  102. Sat Aug 30 23:50:35 2025 begin with 378395633 relations and 292498570 unique ideals
  103. Sat Aug 30 23:50:44 2025 reduce to 378284977 relations and 287246145 ideals in 6 passes
  104. Sat Aug 30 23:50:44 2025 max relations containing the same ideal: 144
  105. Sat Aug 30 23:52:07 2025 removing 7039559 relations and 5039559 ideals in 2000000 cliques
  106. Sat Aug 30 23:52:14 2025 commencing in-memory singleton removal
  107. Sat Aug 30 23:52:18 2025 begin with 371245418 relations and 287246145 unique ideals
  108. Sat Aug 30 23:52:27 2025 reduce to 371136386 relations and 282096952 ideals in 6 passes
  109. Sat Aug 30 23:52:27 2025 max relations containing the same ideal: 143
  110. Sat Aug 30 23:53:48 2025 removing 6950149 relations and 4950149 ideals in 2000000 cliques
  111. Sat Aug 30 23:53:56 2025 commencing in-memory singleton removal
  112. Sat Aug 30 23:53:59 2025 begin with 364186237 relations and 282096952 unique ideals
  113. Sat Aug 30 23:54:08 2025 reduce to 364078216 relations and 277038169 ideals in 6 passes
  114. Sat Aug 30 23:54:08 2025 max relations containing the same ideal: 142
  115. Sat Aug 30 23:55:28 2025 removing 6871216 relations and 4871216 ideals in 2000000 cliques
  116. Sat Aug 30 23:55:35 2025 commencing in-memory singleton removal
  117. Sat Aug 30 23:55:39 2025 begin with 357207000 relations and 277038169 unique ideals
  118. Sat Aug 30 23:55:47 2025 reduce to 357099193 relations and 272058519 ideals in 6 passes
  119. Sat Aug 30 23:55:47 2025 max relations containing the same ideal: 138
  120. Sat Aug 30 23:57:06 2025 removing 6802573 relations and 4802573 ideals in 2000000 cliques
  121. Sat Aug 30 23:57:14 2025 commencing in-memory singleton removal
  122. Sat Aug 30 23:57:17 2025 begin with 350296620 relations and 272058519 unique ideals
  123. Sat Aug 30 23:57:25 2025 reduce to 350188371 relations and 267147051 ideals in 6 passes
  124. Sat Aug 30 23:57:25 2025 max relations containing the same ideal: 138
  125. Sat Aug 30 23:58:43 2025 removing 6742720 relations and 4742720 ideals in 2000000 cliques
  126. Sat Aug 30 23:58:50 2025 commencing in-memory singleton removal
  127. Sat Aug 30 23:58:54 2025 begin with 343445651 relations and 267147051 unique ideals
  128. Sat Aug 30 23:59:02 2025 reduce to 343337566 relations and 262295550 ideals in 6 passes
  129. Sat Aug 30 23:59:02 2025 max relations containing the same ideal: 137
  130. Sun Aug 31 00:00:19 2025 removing 6691013 relations and 4691013 ideals in 2000000 cliques
  131. Sun Aug 31 00:00:26 2025 commencing in-memory singleton removal
  132. Sun Aug 31 00:00:29 2025 begin with 336646553 relations and 262295550 unique ideals
  133. Sun Aug 31 00:00:38 2025 reduce to 336538322 relations and 257495607 ideals in 7 passes
  134. Sun Aug 31 00:00:38 2025 max relations containing the same ideal: 135
  135. Sun Aug 31 00:01:54 2025 removing 6650107 relations and 4650107 ideals in 2000000 cliques
  136. Sun Aug 31 00:02:01 2025 commencing in-memory singleton removal
  137. Sun Aug 31 00:02:04 2025 begin with 329888215 relations and 257495607 unique ideals
  138. Sun Aug 31 00:02:11 2025 reduce to 329779283 relations and 252735794 ideals in 6 passes
  139. Sun Aug 31 00:02:11 2025 max relations containing the same ideal: 132
  140. Sun Aug 31 00:03:26 2025 removing 6610310 relations and 4610310 ideals in 2000000 cliques
  141. Sun Aug 31 00:03:33 2025 commencing in-memory singleton removal
  142. Sun Aug 31 00:03:36 2025 begin with 323168973 relations and 252735794 unique ideals
  143. Sun Aug 31 00:03:44 2025 reduce to 323059224 relations and 248014993 ideals in 6 passes
  144. Sun Aug 31 00:03:44 2025 max relations containing the same ideal: 131
  145. Sun Aug 31 00:04:57 2025 removing 6572465 relations and 4572465 ideals in 2000000 cliques
  146. Sun Aug 31 00:05:04 2025 commencing in-memory singleton removal
  147. Sun Aug 31 00:05:07 2025 begin with 316486759 relations and 248014993 unique ideals
  148. Sun Aug 31 00:05:14 2025 reduce to 316375976 relations and 243330915 ideals in 6 passes
  149. Sun Aug 31 00:05:15 2025 max relations containing the same ideal: 128
  150. Sun Aug 31 00:06:27 2025 removing 6544906 relations and 4544906 ideals in 2000000 cliques
  151. Sun Aug 31 00:06:34 2025 commencing in-memory singleton removal
  152. Sun Aug 31 00:06:37 2025 begin with 309831070 relations and 243330915 unique ideals
  153. Sun Aug 31 00:06:44 2025 reduce to 309720535 relations and 238674652 ideals in 6 passes
  154. Sun Aug 31 00:06:44 2025 max relations containing the same ideal: 125
  155. Sun Aug 31 00:07:55 2025 removing 6515830 relations and 4515830 ideals in 2000000 cliques
  156. Sun Aug 31 00:08:02 2025 commencing in-memory singleton removal
  157. Sun Aug 31 00:08:04 2025 begin with 303204705 relations and 238674652 unique ideals
  158. Sun Aug 31 00:08:12 2025 reduce to 303091482 relations and 234044715 ideals in 7 passes
  159. Sun Aug 31 00:08:12 2025 max relations containing the same ideal: 124
  160. Sun Aug 31 00:09:22 2025 removing 6495691 relations and 4495691 ideals in 2000000 cliques
  161. Sun Aug 31 00:09:29 2025 commencing in-memory singleton removal
  162. Sun Aug 31 00:09:32 2025 begin with 296595791 relations and 234044715 unique ideals
  163. Sun Aug 31 00:09:39 2025 reduce to 296480607 relations and 229432954 ideals in 6 passes
  164. Sun Aug 31 00:09:39 2025 max relations containing the same ideal: 123
  165. Sun Aug 31 00:10:47 2025 removing 6473160 relations and 4473160 ideals in 2000000 cliques
  166. Sun Aug 31 00:10:53 2025 commencing in-memory singleton removal
  167. Sun Aug 31 00:10:56 2025 begin with 290007447 relations and 229432954 unique ideals
  168. Sun Aug 31 00:11:03 2025 reduce to 289891559 relations and 224842925 ideals in 6 passes
  169. Sun Aug 31 00:11:03 2025 max relations containing the same ideal: 121
  170. Sun Aug 31 00:12:10 2025 removing 6456868 relations and 4456868 ideals in 2000000 cliques
  171. Sun Aug 31 00:12:16 2025 commencing in-memory singleton removal
  172. Sun Aug 31 00:12:19 2025 begin with 283434691 relations and 224842925 unique ideals
  173. Sun Aug 31 00:12:25 2025 reduce to 283317078 relations and 220267413 ideals in 5 passes
  174. Sun Aug 31 00:12:25 2025 max relations containing the same ideal: 119
  175. Sun Aug 31 00:13:29 2025 removing 6441149 relations and 4441149 ideals in 2000000 cliques
  176. Sun Aug 31 00:13:35 2025 commencing in-memory singleton removal
  177. Sun Aug 31 00:13:37 2025 begin with 276875929 relations and 220267413 unique ideals
  178. Sun Aug 31 00:13:44 2025 reduce to 276755220 relations and 215704521 ideals in 7 passes
  179. Sun Aug 31 00:13:44 2025 max relations containing the same ideal: 117
  180. Sun Aug 31 00:14:47 2025 removing 6430633 relations and 4430633 ideals in 2000000 cliques
  181. Sun Aug 31 00:14:52 2025 commencing in-memory singleton removal
  182. Sun Aug 31 00:14:55 2025 begin with 270324587 relations and 215704521 unique ideals
  183. Sun Aug 31 00:15:01 2025 reduce to 270203071 relations and 211151308 ideals in 6 passes
  184. Sun Aug 31 00:15:01 2025 max relations containing the same ideal: 116
  185. Sun Aug 31 00:16:02 2025 removing 6421480 relations and 4421480 ideals in 2000000 cliques
  186. Sun Aug 31 00:16:08 2025 commencing in-memory singleton removal
  187. Sun Aug 31 00:16:11 2025 begin with 263781591 relations and 211151308 unique ideals
  188. Sun Aug 31 00:16:17 2025 reduce to 263657347 relations and 206604419 ideals in 7 passes
  189. Sun Aug 31 00:16:17 2025 max relations containing the same ideal: 114
  190. Sun Aug 31 00:17:17 2025 removing 6416027 relations and 4416027 ideals in 2000000 cliques
  191. Sun Aug 31 00:17:23 2025 commencing in-memory singleton removal
  192. Sun Aug 31 00:17:25 2025 begin with 257241320 relations and 206604419 unique ideals
  193. Sun Aug 31 00:17:31 2025 reduce to 257115467 relations and 202061335 ideals in 6 passes
  194. Sun Aug 31 00:17:31 2025 max relations containing the same ideal: 113
  195. Sun Aug 31 00:18:30 2025 removing 6410320 relations and 4410320 ideals in 2000000 cliques
  196. Sun Aug 31 00:18:35 2025 commencing in-memory singleton removal
  197. Sun Aug 31 00:18:38 2025 begin with 250705147 relations and 202061335 unique ideals
  198. Sun Aug 31 00:18:43 2025 reduce to 250576208 relations and 197520880 ideals in 5 passes
  199. Sun Aug 31 00:18:43 2025 max relations containing the same ideal: 112
  200. Sun Aug 31 00:19:40 2025 removing 6411348 relations and 4411348 ideals in 2000000 cliques
  201. Sun Aug 31 00:19:46 2025 commencing in-memory singleton removal
  202. Sun Aug 31 00:19:48 2025 begin with 244164860 relations and 197520880 unique ideals
  203. Sun Aug 31 00:19:54 2025 reduce to 244033255 relations and 192976652 ideals in 6 passes
  204. Sun Aug 31 00:19:54 2025 max relations containing the same ideal: 111
  205. Sun Aug 31 00:20:50 2025 removing 6410880 relations and 4410880 ideals in 2000000 cliques
  206. Sun Aug 31 00:20:55 2025 commencing in-memory singleton removal
  207. Sun Aug 31 00:20:57 2025 begin with 237622375 relations and 192976652 unique ideals
  208. Sun Aug 31 00:21:03 2025 reduce to 237487111 relations and 188429134 ideals in 6 passes
  209. Sun Aug 31 00:21:03 2025 max relations containing the same ideal: 111
  210. Sun Aug 31 00:21:58 2025 removing 6414019 relations and 4414019 ideals in 2000000 cliques
  211. Sun Aug 31 00:22:03 2025 commencing in-memory singleton removal
  212. Sun Aug 31 00:22:05 2025 begin with 231073092 relations and 188429134 unique ideals
  213. Sun Aug 31 00:22:11 2025 reduce to 230934375 relations and 183875024 ideals in 6 passes
  214. Sun Aug 31 00:22:11 2025 max relations containing the same ideal: 111
  215. Sun Aug 31 00:23:04 2025 removing 6416931 relations and 4416931 ideals in 2000000 cliques
  216. Sun Aug 31 00:23:09 2025 commencing in-memory singleton removal
  217. Sun Aug 31 00:23:11 2025 begin with 224517444 relations and 183875024 unique ideals
  218. Sun Aug 31 00:23:17 2025 reduce to 224375251 relations and 179314381 ideals in 6 passes
  219. Sun Aug 31 00:23:17 2025 max relations containing the same ideal: 108
  220. Sun Aug 31 00:24:09 2025 removing 6424407 relations and 4424407 ideals in 2000000 cliques
  221. Sun Aug 31 00:24:14 2025 commencing in-memory singleton removal
  222. Sun Aug 31 00:24:16 2025 begin with 217950844 relations and 179314381 unique ideals
  223. Sun Aug 31 00:24:21 2025 reduce to 217804332 relations and 174741915 ideals in 6 passes
  224. Sun Aug 31 00:24:21 2025 max relations containing the same ideal: 106
  225. Sun Aug 31 00:25:12 2025 removing 6433886 relations and 4433886 ideals in 2000000 cliques
  226. Sun Aug 31 00:25:16 2025 commencing in-memory singleton removal
  227. Sun Aug 31 00:25:18 2025 begin with 211370446 relations and 174741915 unique ideals
  228. Sun Aug 31 00:25:24 2025 reduce to 211221326 relations and 170157260 ideals in 7 passes
  229. Sun Aug 31 00:25:24 2025 max relations containing the same ideal: 105
  230. Sun Aug 31 00:26:13 2025 removing 6445047 relations and 4445047 ideals in 2000000 cliques
  231. Sun Aug 31 00:26:18 2025 commencing in-memory singleton removal
  232. Sun Aug 31 00:26:20 2025 begin with 204776279 relations and 170157260 unique ideals
  233. Sun Aug 31 00:26:24 2025 reduce to 204622217 relations and 165556441 ideals in 6 passes
  234. Sun Aug 31 00:26:24 2025 max relations containing the same ideal: 99
  235. Sun Aug 31 00:27:13 2025 removing 6458789 relations and 4458789 ideals in 2000000 cliques
  236. Sun Aug 31 00:27:17 2025 commencing in-memory singleton removal
  237. Sun Aug 31 00:27:19 2025 begin with 198163428 relations and 165556441 unique ideals
  238. Sun Aug 31 00:27:24 2025 reduce to 198004945 relations and 160937400 ideals in 7 passes
  239. Sun Aug 31 00:27:24 2025 max relations containing the same ideal: 96
  240. Sun Aug 31 00:28:10 2025 removing 6474982 relations and 4474982 ideals in 2000000 cliques
  241. Sun Aug 31 00:28:14 2025 commencing in-memory singleton removal
  242. Sun Aug 31 00:28:16 2025 begin with 191529963 relations and 160937400 unique ideals
  243. Sun Aug 31 00:28:21 2025 reduce to 191367055 relations and 156297594 ideals in 6 passes
  244. Sun Aug 31 00:28:21 2025 max relations containing the same ideal: 95
  245. Sun Aug 31 00:29:05 2025 removing 6495525 relations and 4495525 ideals in 2000000 cliques
  246. Sun Aug 31 00:29:10 2025 commencing in-memory singleton removal
  247. Sun Aug 31 00:29:11 2025 begin with 184871530 relations and 156297594 unique ideals
  248. Sun Aug 31 00:29:16 2025 reduce to 184703715 relations and 151632258 ideals in 6 passes
  249. Sun Aug 31 00:29:16 2025 max relations containing the same ideal: 92
  250. Sun Aug 31 00:29:59 2025 removing 6512784 relations and 4512784 ideals in 2000000 cliques
  251. Sun Aug 31 00:30:04 2025 commencing in-memory singleton removal
  252. Sun Aug 31 00:30:05 2025 begin with 178190931 relations and 151632258 unique ideals
  253. Sun Aug 31 00:30:09 2025 reduce to 178016801 relations and 146943179 ideals in 6 passes
  254. Sun Aug 31 00:30:09 2025 max relations containing the same ideal: 87
  255. Sun Aug 31 00:30:52 2025 removing 6534941 relations and 4534941 ideals in 2000000 cliques
  256. Sun Aug 31 00:30:56 2025 commencing in-memory singleton removal
  257. Sun Aug 31 00:30:58 2025 begin with 171481860 relations and 146943179 unique ideals
  258. Sun Aug 31 00:31:01 2025 reduce to 171301095 relations and 142225233 ideals in 6 passes
  259. Sun Aug 31 00:31:01 2025 max relations containing the same ideal: 85
  260. Sun Aug 31 00:31:42 2025 removing 6560346 relations and 4560346 ideals in 2000000 cliques
  261. Sun Aug 31 00:31:46 2025 commencing in-memory singleton removal
  262. Sun Aug 31 00:31:48 2025 begin with 164740749 relations and 142225233 unique ideals
  263. Sun Aug 31 00:31:52 2025 reduce to 164552967 relations and 137474668 ideals in 6 passes
  264. Sun Aug 31 00:31:52 2025 max relations containing the same ideal: 84
  265. Sun Aug 31 00:32:31 2025 removing 6588102 relations and 4588102 ideals in 2000000 cliques
  266. Sun Aug 31 00:32:35 2025 commencing in-memory singleton removal
  267. Sun Aug 31 00:32:36 2025 begin with 157964865 relations and 137474668 unique ideals
  268. Sun Aug 31 00:32:40 2025 reduce to 157769796 relations and 132689013 ideals in 6 passes
  269. Sun Aug 31 00:32:40 2025 max relations containing the same ideal: 81
  270. Sun Aug 31 00:33:18 2025 removing 6619737 relations and 4619737 ideals in 2000000 cliques
  271. Sun Aug 31 00:33:22 2025 commencing in-memory singleton removal
  272. Sun Aug 31 00:33:23 2025 begin with 151150059 relations and 132689013 unique ideals
  273. Sun Aug 31 00:33:27 2025 reduce to 150946903 relations and 127863380 ideals in 6 passes
  274. Sun Aug 31 00:33:27 2025 max relations containing the same ideal: 78
  275. Sun Aug 31 00:34:04 2025 removing 6654502 relations and 4654502 ideals in 2000000 cliques
  276. Sun Aug 31 00:34:07 2025 commencing in-memory singleton removal
  277. Sun Aug 31 00:34:09 2025 begin with 144292401 relations and 127863380 unique ideals
  278. Sun Aug 31 00:34:12 2025 reduce to 144080595 relations and 122994162 ideals in 6 passes
  279. Sun Aug 31 00:34:12 2025 max relations containing the same ideal: 77
  280. Sun Aug 31 00:34:47 2025 removing 6688572 relations and 4688572 ideals in 2000000 cliques
  281. Sun Aug 31 00:34:51 2025 commencing in-memory singleton removal
  282. Sun Aug 31 00:34:52 2025 begin with 137392023 relations and 122994162 unique ideals
  283. Sun Aug 31 00:34:55 2025 reduce to 137169439 relations and 118079900 ideals in 6 passes
  284. Sun Aug 31 00:34:55 2025 max relations containing the same ideal: 77
  285. Sun Aug 31 00:35:29 2025 removing 6728953 relations and 4728953 ideals in 2000000 cliques
  286. Sun Aug 31 00:35:32 2025 commencing in-memory singleton removal
  287. Sun Aug 31 00:35:34 2025 begin with 130440486 relations and 118079900 unique ideals
  288. Sun Aug 31 00:35:37 2025 reduce to 130205300 relations and 113112337 ideals in 7 passes
  289. Sun Aug 31 00:35:37 2025 max relations containing the same ideal: 71
  290. Sun Aug 31 00:36:10 2025 removing 6775175 relations and 4775175 ideals in 2000000 cliques
  291. Sun Aug 31 00:36:13 2025 commencing in-memory singleton removal
  292. Sun Aug 31 00:36:14 2025 begin with 123430125 relations and 113112337 unique ideals
  293. Sun Aug 31 00:36:17 2025 reduce to 123182210 relations and 108085679 ideals in 6 passes
  294. Sun Aug 31 00:36:17 2025 max relations containing the same ideal: 70
  295. Sun Aug 31 00:36:48 2025 removing 6818330 relations and 4818330 ideals in 2000000 cliques
  296. Sun Aug 31 00:36:51 2025 commencing in-memory singleton removal
  297. Sun Aug 31 00:36:52 2025 begin with 116363880 relations and 108085679 unique ideals
  298. Sun Aug 31 00:36:55 2025 reduce to 116101617 relations and 103001128 ideals in 7 passes
  299. Sun Aug 31 00:36:55 2025 max relations containing the same ideal: 68
  300. Sun Aug 31 00:37:24 2025 removing 6871510 relations and 4871510 ideals in 2000000 cliques
  301. Sun Aug 31 00:37:27 2025 commencing in-memory singleton removal
  302. Sun Aug 31 00:37:28 2025 begin with 109230107 relations and 103001128 unique ideals
  303. Sun Aug 31 00:37:31 2025 reduce to 108948133 relations and 97843248 ideals in 7 passes
  304. Sun Aug 31 00:37:31 2025 max relations containing the same ideal: 63
  305. Sun Aug 31 00:37:58 2025 removing 6928831 relations and 4928831 ideals in 2000000 cliques
  306. Sun Aug 31 00:38:01 2025 commencing in-memory singleton removal
  307. Sun Aug 31 00:38:02 2025 begin with 102019302 relations and 97843248 unique ideals
  308. Sun Aug 31 00:38:05 2025 reduce to 101716212 relations and 92606442 ideals in 7 passes
  309. Sun Aug 31 00:38:05 2025 max relations containing the same ideal: 60
  310. Sun Aug 31 00:38:30 2025 removing 6992205 relations and 4992205 ideals in 2000000 cliques
  311. Sun Aug 31 00:38:33 2025 commencing in-memory singleton removal
  312. Sun Aug 31 00:38:34 2025 begin with 94724007 relations and 92606442 unique ideals
  313. Sun Aug 31 00:38:36 2025 reduce to 94392351 relations and 87276952 ideals in 7 passes
  314. Sun Aug 31 00:38:36 2025 max relations containing the same ideal: 58
  315. Sun Aug 31 00:39:00 2025 removing 7072985 relations and 5072985 ideals in 2000000 cliques
  316. Sun Aug 31 00:39:03 2025 commencing in-memory singleton removal
  317. Sun Aug 31 00:39:04 2025 begin with 87319366 relations and 87276952 unique ideals
  318. Sun Aug 31 00:39:06 2025 reduce to 86949620 relations and 81827626 ideals in 7 passes
  319. Sun Aug 31 00:39:06 2025 max relations containing the same ideal: 55
  320. Sun Aug 31 00:39:29 2025 removing 3609357 relations and 2741630 ideals in 867727 cliques
  321. Sun Aug 31 00:39:31 2025 commencing in-memory singleton removal
  322. Sun Aug 31 00:39:31 2025 begin with 83340263 relations and 81827626 unique ideals
  323. Sun Aug 31 00:39:33 2025 reduce to 83242370 relations and 78987307 ideals in 6 passes
  324. Sun Aug 31 00:39:33 2025 max relations containing the same ideal: 53
  325. Sun Aug 31 00:40:02 2025 relations with 0 large ideals: 137014
  326. Sun Aug 31 00:40:02 2025 relations with 1 large ideals: 180130
  327. Sun Aug 31 00:40:02 2025 relations with 2 large ideals: 1793211
  328. Sun Aug 31 00:40:02 2025 relations with 3 large ideals: 7690258
  329. Sun Aug 31 00:40:02 2025 relations with 4 large ideals: 17343877
  330. Sun Aug 31 00:40:02 2025 relations with 5 large ideals: 22924472
  331. Sun Aug 31 00:40:02 2025 relations with 6 large ideals: 18744407
  332. Sun Aug 31 00:40:02 2025 relations with 7+ large ideals: 14429001
  333. Sun Aug 31 00:40:02 2025 commencing 2-way merge
  334. Sun Aug 31 00:40:35 2025 reduce to 53748302 relation sets and 49493239 unique ideals
  335. Sun Aug 31 00:40:35 2025 commencing full merge
  336. Sun Aug 31 00:51:31 2025 memory use: 6099.7 MB
  337. Sun Aug 31 00:51:35 2025 found 25534750 cycles, need 24983439
  338. Sun Aug 31 00:51:43 2025 weight of 24983439 cycles is about 2748896376 (110.03/cycle)
  339. Sun Aug 31 00:51:43 2025 distribution of cycle lengths:
  340. Sun Aug 31 00:51:43 2025 1 relations: 1311240
  341. Sun Aug 31 00:51:43 2025 2 relations: 1667198
  342. Sun Aug 31 00:51:43 2025 3 relations: 1938048
  343. Sun Aug 31 00:51:43 2025 4 relations: 2017984
  344. Sun Aug 31 00:51:43 2025 5 relations: 2076681
  345. Sun Aug 31 00:51:43 2025 6 relations: 2074166
  346. Sun Aug 31 00:51:43 2025 7 relations: 2019706
  347. Sun Aug 31 00:51:43 2025 8 relations: 1915573
  348. Sun Aug 31 00:51:43 2025 9 relations: 1774575
  349. Sun Aug 31 00:51:43 2025 10+ relations: 8188268
  350. Sun Aug 31 00:51:43 2025 heaviest cycle: 24 relations
  351. Sun Aug 31 00:51:50 2025 commencing cycle optimization
  352. Sun Aug 31 00:52:30 2025 start with 193347844 relations
  353. Sun Aug 31 00:57:02 2025 pruned 7700631 relations
  354. Sun Aug 31 00:57:02 2025 memory use: 5414.8 MB
  355. Sun Aug 31 00:57:02 2025 distribution of cycle lengths:
  356. Sun Aug 31 00:57:02 2025 1 relations: 1311240
  357. Sun Aug 31 00:57:02 2025 2 relations: 1707827
  358. Sun Aug 31 00:57:02 2025 3 relations: 2019721
  359. Sun Aug 31 00:57:02 2025 4 relations: 2100568
  360. Sun Aug 31 00:57:02 2025 5 relations: 2180525
  361. Sun Aug 31 00:57:02 2025 6 relations: 2171683
  362. Sun Aug 31 00:57:02 2025 7 relations: 2122281
  363. Sun Aug 31 00:57:02 2025 8 relations: 2003064
  364. Sun Aug 31 00:57:02 2025 9 relations: 1846860
  365. Sun Aug 31 00:57:02 2025 10+ relations: 7519670
  366. Sun Aug 31 00:57:02 2025 heaviest cycle: 23 relations
  367. Sun Aug 31 00:57:46 2025 RelProcTime: 7760
  368. Sun Aug 31 00:57:46 2025 elapsed time 02:09:20
  369. Sun Aug 31 00:57:48 2025
  370. Sun Aug 31 00:57:48 2025
  371. Sun Aug 31 00:57:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  372. Sun Aug 31 00:57:48 2025 random seeds: 1995dca7 074b2544
  373. Sun Aug 31 00:57:48 2025 MPI process 0 of 1
  374. Sun Aug 31 00:57:48 2025 Using 46 OpenMP threads
  375. Sun Aug 31 00:57:48 2025 factoring 20886508606042249944039333744230978115901056554746242531689976049419654457509565176252284282040891532873364964193171090219644043806605415598685166896799472633179048387954642078610505980498344559506260617861 (206 digits)
  376. Sun Aug 31 00:57:48 2025 no P-1/P+1/ECM available, skipping
  377. Sun Aug 31 00:57:48 2025 commencing number field sieve (206-digit input)
  378. Sun Aug 31 00:57:48 2025 R0: 1000000000000000000000000000000000000000000000
  379. Sun Aug 31 00:57:48 2025 R1: -1
  380. Sun Aug 31 00:57:48 2025 A0: -61
  381. Sun Aug 31 00:57:48 2025 A1: 0
  382. Sun Aug 31 00:57:48 2025 A2: 0
  383. Sun Aug 31 00:57:48 2025 A3: 0
  384. Sun Aug 31 00:57:48 2025 A4: 0
  385. Sun Aug 31 00:57:48 2025 A5: 0
  386. Sun Aug 31 00:57:48 2025 A6: 34000
  387. Sun Aug 31 00:57:48 2025 skew 1.00, size 1.035e-13, alpha -1.586, combined = 2.095e-14 rroots = 2
  388. Sun Aug 31 00:57:48 2025
  389. Sun Aug 31 00:57:48 2025 commencing linear algebra
  390. Sun Aug 31 00:57:48 2025 using VBITS=256
  391. Sun Aug 31 00:57:48 2025 stopping after matrix build
  392. Sun Aug 31 00:57:48 2025 initialized process (0,0) of 1 x 1 grid
  393. Sun Aug 31 00:57:51 2025 read 24983439 cycles
  394. Sun Aug 31 00:58:39 2025 cycles contain 81277228 unique relations
  395. Sun Aug 31 00:59:32 2025 read 81277228 relations
  396. Sun Aug 31 00:59:39 2025 using 20 quadratic characters above 4294917295
  397. Sun Aug 31 00:59:49 2025 building initial matrix
  398. Sun Aug 31 01:14:02 2025 memory use: 10587.3 MB
  399. Sun Aug 31 01:14:20 2025 read 24983439 cycles
  400. Sun Aug 31 01:14:22 2025 matrix is 24983255 x 24983439 (10937.9 MB) with weight 3164560017 (126.67/col)
  401. Sun Aug 31 01:14:22 2025 sparse part has weight 2592486866 (103.77/col)
  402. Sun Aug 31 01:18:27 2025 filtering completed in 2 passes
  403. Sun Aug 31 01:18:30 2025 matrix is 24980763 x 24980940 (10937.6 MB) with weight 3164465725 (126.68/col)
  404. Sun Aug 31 01:18:30 2025 sparse part has weight 2592447818 (103.78/col)
  405. Sun Aug 31 01:19:27 2025 BLanczosTime: 1299
  406. Sun Aug 31 01:19:27 2025 elapsed time 00:21:39
  407. Sun Aug 31 01:57:39 2025
  408. Sun Aug 31 01:57:39 2025
  409. Sun Aug 31 01:57:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  410. Sun Aug 31 01:57:39 2025 random seeds: b04da0b3 86781b7e
  411. Sun Aug 31 01:57:39 2025 MPI process 0 of 2
  412. Sun Aug 31 01:57:39 2025 Using 6 OpenMP threads
  413. Sun Aug 31 01:57:39 2025 factoring 20886508606042249944039333744230978115901056554746242531689976049419654457509565176252284282040891532873364964193171090219644043806605415598685166896799472633179048387954642078610505980498344559506260617861 (206 digits)
  414. Sun Aug 31 01:57:40 2025 no P-1/P+1/ECM available, skipping
  415. Sun Aug 31 01:57:40 2025 commencing number field sieve (206-digit input)
  416. Sun Aug 31 01:57:40 2025 R0: 1000000000000000000000000000000000000000000000
  417. Sun Aug 31 01:57:40 2025 R1: -1
  418. Sun Aug 31 01:57:40 2025 A0: -61
  419. Sun Aug 31 01:57:40 2025 A1: 0
  420. Sun Aug 31 01:57:40 2025 A2: 0
  421. Sun Aug 31 01:57:40 2025 A3: 0
  422. Sun Aug 31 01:57:40 2025 A4: 0
  423. Sun Aug 31 01:57:40 2025 A5: 0
  424. Sun Aug 31 01:57:40 2025 A6: 34000
  425. Sun Aug 31 01:57:40 2025 skew 1.00, size 1.035e-13, alpha -1.586, combined = 2.095e-14 rroots = 2
  426. Sun Aug 31 01:57:40 2025
  427. Sun Aug 31 01:57:40 2025 commencing linear algebra
  428. Sun Aug 31 01:57:40 2025 using VBITS=256
  429. Sun Aug 31 01:57:40 2025 skipping matrix build
  430. Sun Aug 31 01:57:40 2025 initialized process (0,0) of 1 x 2 grid
  431. Sun Aug 31 01:57:46 2025 matrix starts at (0, 0)
  432. Sun Aug 31 01:57:47 2025 matrix is 24980763 x 12490492 (5468.8 MB) with weight 1582232126 (126.67/col)
  433. Sun Aug 31 01:57:47 2025 sparse part has weight 1296224097 (103.78/col)
  434. Sun Aug 31 01:57:47 2025 saving the first 240 matrix rows for later
  435. Sun Aug 31 01:57:51 2025 matrix includes 256 packed rows
  436. Sun Aug 31 01:57:53 2025 matrix is 24980523 x 12490492 (5076.0 MB) with weight 1187367369 (95.06/col)
  437. Sun Aug 31 01:57:53 2025 sparse part has weight 1130797578 (90.53/col)
  438. Sun Aug 31 01:57:53 2025 using GPU 0 (NVIDIA A100-SXM4-40GB)
  439. Sun Aug 31 01:57:53 2025 selected card has CUDA arch 8.0
  440. Sun Aug 31 01:59:15 2025 commencing Lanczos iteration
  441. Sun Aug 31 01:59:16 2025 memory use: 12963.2 MB
  442. Sun Aug 31 01:59:40 2025 linear algebra at 0.1%, ETA 5h12m
  443. Sun Aug 31 02:00:16 2025 checking every 70000 dimensions, checkpointing every 4690000 dimensions
  444. Sun Aug 31 07:18:25 2025 lanczos halted after 97873 iterations (dim = 24980519)
  445. Sun Aug 31 07:19:39 2025 recovered 37 nontrivial dependencies
  446. Sun Aug 31 07:19:39 2025 BLanczosTime: 19319
  447. Sun Aug 31 07:19:39 2025 elapsed time 05:22:00
  448. Sun Aug 31 07:19:41 2025
  449. Sun Aug 31 07:19:41 2025
  450. Sun Aug 31 07:19:41 2025 Msieve v. 1.54 (SVN Unversioned directory)
  451. Sun Aug 31 07:19:41 2025 random seeds: c7925f1f 90befe1f
  452. Sun Aug 31 07:19:41 2025 MPI process 0 of 1
  453. Sun Aug 31 07:19:41 2025 Using 32 OpenMP threads
  454. Sun Aug 31 07:19:41 2025 factoring 20886508606042249944039333744230978115901056554746242531689976049419654457509565176252284282040891532873364964193171090219644043806605415598685166896799472633179048387954642078610505980498344559506260617861 (206 digits)
  455. Sun Aug 31 07:19:41 2025 no P-1/P+1/ECM available, skipping
  456. Sun Aug 31 07:19:41 2025 commencing number field sieve (206-digit input)
  457. Sun Aug 31 07:19:41 2025 R0: 1000000000000000000000000000000000000000000000
  458. Sun Aug 31 07:19:41 2025 R1: -1
  459. Sun Aug 31 07:19:41 2025 A0: -61
  460. Sun Aug 31 07:19:41 2025 A1: 0
  461. Sun Aug 31 07:19:41 2025 A2: 0
  462. Sun Aug 31 07:19:41 2025 A3: 0
  463. Sun Aug 31 07:19:41 2025 A4: 0
  464. Sun Aug 31 07:19:41 2025 A5: 0
  465. Sun Aug 31 07:19:41 2025 A6: 34000
  466. Sun Aug 31 07:19:41 2025 skew 1.00, size 1.035e-13, alpha -1.586, combined = 2.095e-14 rroots = 2
  467. Sun Aug 31 07:19:41 2025
  468. Sun Aug 31 07:19:41 2025 commencing square root phase
  469. Sun Aug 31 07:19:41 2025 reading relations for dependency 1
  470. Sun Aug 31 07:19:44 2025 read 12487360 cycles
  471. Sun Aug 31 07:20:06 2025 cycles contain 40627488 unique relations
  472. Sun Aug 31 07:20:54 2025 read 40627488 relations
  473. Sun Aug 31 07:23:13 2025 multiplying 40627488 relations
  474. Sun Aug 31 07:26:12 2025 multiply complete, coefficients have about 1660.63 million bits
  475. Sun Aug 31 07:26:15 2025 initial square root is modulo 28126471
  476. Sun Aug 31 07:35:07 2025 GCD is 1, no factor found
  477. Sun Aug 31 07:35:07 2025 reading relations for dependency 2
  478. Sun Aug 31 07:35:09 2025 read 12490012 cycles
  479. Sun Aug 31 07:35:30 2025 cycles contain 40640032 unique relations
  480. Sun Aug 31 07:36:18 2025 read 40640032 relations
  481. Sun Aug 31 07:38:41 2025 multiplying 40640032 relations
  482. Sun Aug 31 07:41:42 2025 multiply complete, coefficients have about 1661.14 million bits
  483. Sun Aug 31 07:41:45 2025 initial square root is modulo 28274923
  484. Sun Aug 31 07:50:43 2025 sqrtTime: 1862
  485. Sun Aug 31 07:50:43 2025 p62 factor: 16489595858199770584703799596058700640365180466119091923782779
  486. Sun Aug 31 07:50:43 2025 p145 factor: 1266647696259701199594058145833443573710623430823395196766333217829820518461961966943779796509328114487092053980101502999598133059878891184764159
  487. Sun Aug 31 07:50:43 2025 elapsed time 00:31:02
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