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  1. Wed Nov 26 08:07:23 2025
  2. Wed Nov 26 08:07:23 2025
  3. Wed Nov 26 08:07:23 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Nov 26 08:07:23 2025 random seeds: 8389562c 33f17626
  5. Wed Nov 26 08:07:23 2025 MPI process 0 of 1
  6. Wed Nov 26 08:07:23 2025 Using 32 OpenMP threads
  7. Wed Nov 26 08:07:23 2025 factoring 65005006901999891102446239558439026991851579889763222026739390180643562808793871738387613553048253729645519668777279681248856128759258157184360548753490880742161677677304050011843 (179 digits)
  8. Wed Nov 26 08:07:24 2025 searching for 15-digit factors
  9. Wed Nov 26 08:07:25 2025 commencing number field sieve (179-digit input)
  10. Wed Nov 26 08:07:25 2025 R0: -42131347637454510951899050634277912
  11. Wed Nov 26 08:07:25 2025 R1: 346622670315050195449889
  12. Wed Nov 26 08:07:25 2025 A0: 4918373788910633998140127023405942429294926
  13. Wed Nov 26 08:07:25 2025 A1: -925455674166364447628421347001798043
  14. Wed Nov 26 08:07:25 2025 A2: -61017955499750752482002591616
  15. Wed Nov 26 08:07:25 2025 A3: 6183153126668133735163
  16. Wed Nov 26 08:07:25 2025 A4: 94432895972050
  17. Wed Nov 26 08:07:25 2025 A5: 978600
  18. Wed Nov 26 08:07:25 2025 skew 24176282.42, size 1.862e-17, alpha -7.832, combined = 1.050e-13 rroots = 3
  19. Wed Nov 26 08:07:25 2025
  20. Wed Nov 26 08:07:25 2025 commencing relation filtering
  21. Wed Nov 26 08:07:25 2025 setting target matrix density to 140.0
  22. Wed Nov 26 08:07:25 2025 estimated available RAM is 257736.5 MB
  23. Wed Nov 26 08:07:25 2025 commencing duplicate removal, pass 1
  24. Wed Nov 26 08:07:58 2025 error -1 reading relation 13369307
  25. Wed Nov 26 08:08:32 2025 error -1 reading relation 26584530
  26. Wed Nov 26 08:11:12 2025 error -1 reading relation 88691286
  27. Wed Nov 26 08:12:23 2025 error -1 reading relation 117174513
  28. Wed Nov 26 08:13:05 2025 error -1 reading relation 133965874
  29. Wed Nov 26 08:13:24 2025 error -1 reading relation 141356301
  30. Wed Nov 26 08:13:26 2025 error -1 reading relation 142248441
  31. Wed Nov 26 08:13:26 2025 error -1 reading relation 142260536
  32. Wed Nov 26 08:13:28 2025 error -1 reading relation 142815424
  33. Wed Nov 26 08:13:37 2025 error -1 reading relation 146486406
  34. Wed Nov 26 08:13:50 2025 error -1 reading relation 151679489
  35. Wed Nov 26 08:14:40 2025 error -1 reading relation 172140141
  36. Wed Nov 26 08:15:31 2025 error -1 reading relation 193403385
  37. Wed Nov 26 08:15:52 2025 error -1 reading relation 202075481
  38. Wed Nov 26 08:16:19 2025 error -1 reading relation 212682086
  39. Wed Nov 26 08:16:19 2025 error -1 reading relation 212687205
  40. Wed Nov 26 08:16:23 2025 error -1 reading relation 214120868
  41. Wed Nov 26 08:16:46 2025 error -1 reading relation 223648952
  42. Wed Nov 26 08:17:10 2025 error -1 reading relation 232940202
  43. Wed Nov 26 08:17:18 2025 error -1 reading relation 236139209
  44. Wed Nov 26 08:17:54 2025 error -1 reading relation 251085824
  45. Wed Nov 26 08:17:54 2025 error -1 reading relation 251088961
  46. Wed Nov 26 08:18:20 2025 error -1 reading relation 261781522
  47. Wed Nov 26 08:18:33 2025 error -1 reading relation 267469346
  48. Wed Nov 26 08:18:35 2025 error -1 reading relation 268203352
  49. Wed Nov 26 08:18:36 2025 error -1 reading relation 268504583
  50. Wed Nov 26 08:18:46 2025 error -1 reading relation 271894893
  51. Wed Nov 26 08:18:48 2025 error -1 reading relation 272870616
  52. Wed Nov 26 08:18:49 2025 error -1 reading relation 272980642
  53. Wed Nov 26 08:18:54 2025 error -1 reading relation 274913846
  54. Wed Nov 26 08:19:09 2025 error -1 reading relation 280813747
  55. Wed Nov 26 08:20:25 2025 error -1 reading relation 311391468
  56. Wed Nov 26 08:21:16 2025 error -1 reading relation 331778328
  57. Wed Nov 26 08:21:39 2025 error -1 reading relation 340854288
  58. Wed Nov 26 08:22:13 2025 error -1 reading relation 354492317
  59. Wed Nov 26 08:22:16 2025 error -1 reading relation 355417080
  60. Wed Nov 26 08:22:29 2025 error -1 reading relation 360851183
  61. Wed Nov 26 08:22:39 2025 error -1 reading relation 364509606
  62. Wed Nov 26 08:22:51 2025 error -1 reading relation 369759369
  63. Wed Nov 26 08:23:03 2025 error -1 reading relation 374548723
  64. Wed Nov 26 08:23:07 2025 error -1 reading relation 376240481
  65. Wed Nov 26 08:23:32 2025 error -1 reading relation 386718455
  66. Wed Nov 26 08:23:37 2025 error -1 reading relation 388693567
  67. Wed Nov 26 08:23:44 2025 error -1 reading relation 391414319
  68. Wed Nov 26 08:23:52 2025 error -1 reading relation 394797309
  69. Wed Nov 26 08:23:58 2025 error -1 reading relation 397094737
  70. Wed Nov 26 08:24:05 2025 error -1 reading relation 400202480
  71. Wed Nov 26 08:24:13 2025 error -1 reading relation 403107189
  72. Wed Nov 26 08:24:20 2025 error -1 reading relation 405889934
  73. Wed Nov 26 08:24:21 2025 error -1 reading relation 406014569
  74. Wed Nov 26 08:24:35 2025 error -1 reading relation 411559903
  75. Wed Nov 26 08:24:39 2025 error -1 reading relation 413269697
  76. Wed Nov 26 08:24:51 2025 error -1 reading relation 418135263
  77. Wed Nov 26 08:24:57 2025 error -1 reading relation 420459331
  78. Wed Nov 26 08:25:07 2025 error -1 reading relation 424549959
  79. Wed Nov 26 08:25:10 2025 error -1 reading relation 425503839
  80. Wed Nov 26 08:25:12 2025 error -1 reading relation 426632434
  81. Wed Nov 26 08:25:20 2025 error -1 reading relation 429614902
  82. Wed Nov 26 08:25:20 2025 error -1 reading relation 429956796
  83. Wed Nov 26 08:25:26 2025 error -1 reading relation 432212553
  84. Wed Nov 26 08:25:33 2025 error -1 reading relation 434658994
  85. Wed Nov 26 08:26:06 2025 error -1 reading relation 447768627
  86. Wed Nov 26 08:26:11 2025 error -1 reading relation 449562486
  87. Wed Nov 26 08:26:17 2025 error -1 reading relation 452077013
  88. Wed Nov 26 08:26:34 2025 error -1 reading relation 458491763
  89. Wed Nov 26 08:26:59 2025 error -1 reading relation 468709129
  90. Wed Nov 26 08:27:59 2025 skipped 3 relations with composite factors
  91. Wed Nov 26 08:27:59 2025 skipped 392 malformed relations
  92. Wed Nov 26 08:27:59 2025 found 97620228 hash collisions in 492116086 relations
  93. Wed Nov 26 08:28:38 2025 added 121405 free relations
  94. Wed Nov 26 08:28:38 2025 commencing duplicate removal, pass 2
  95. Wed Nov 26 08:45:38 2025 found 97023989 duplicates and 395213502 unique relations
  96. Wed Nov 26 08:45:38 2025 memory use: 2899.0 MB
  97. Wed Nov 26 08:45:38 2025 reading ideals above 720000
  98. Wed Nov 26 08:45:38 2025 commencing singleton removal, initial pass
  99. Wed Nov 26 09:48:43 2025 memory use: 11024.0 MB
  100. Wed Nov 26 09:48:45 2025 reading all ideals from disk
  101. Wed Nov 26 09:48:57 2025 memory use: 19279.0 MB
  102. Wed Nov 26 09:50:44 2025 keeping 330043685 ideals with weight <= 200, target excess is 2002401
  103. Wed Nov 26 09:52:58 2025 commencing in-memory singleton removal
  104. Wed Nov 26 09:53:10 2025 begin with 395213502 relations and 330043685 unique ideals
  105. Wed Nov 26 09:53:49 2025 reduce to 278589625 relations and 204105041 ideals in 11 passes
  106. Wed Nov 26 09:53:49 2025 max relations containing the same ideal: 171
  107. Wed Nov 26 09:57:10 2025 removing 10321119 relations and 8321119 ideals in 2000000 cliques
  108. Wed Nov 26 09:57:24 2025 commencing in-memory singleton removal
  109. Wed Nov 26 09:57:30 2025 begin with 268268506 relations and 204105041 unique ideals
  110. Wed Nov 26 09:57:50 2025 reduce to 267997109 relations and 195509911 ideals in 7 passes
  111. Wed Nov 26 09:57:50 2025 max relations containing the same ideal: 168
  112. Wed Nov 26 10:01:50 2025 removing 7932702 relations and 5932702 ideals in 2000000 cliques
  113. Wed Nov 26 10:02:07 2025 commencing in-memory singleton removal
  114. Wed Nov 26 10:02:14 2025 begin with 260064407 relations and 195509911 unique ideals
  115. Wed Nov 26 10:02:32 2025 reduce to 259877911 relations and 189389226 ideals in 6 passes
  116. Wed Nov 26 10:02:32 2025 max relations containing the same ideal: 162
  117. Wed Nov 26 10:06:18 2025 removing 7192949 relations and 5192949 ideals in 2000000 cliques
  118. Wed Nov 26 10:06:34 2025 commencing in-memory singleton removal
  119. Wed Nov 26 10:06:41 2025 begin with 252684962 relations and 189389226 unique ideals
  120. Wed Nov 26 10:07:00 2025 reduce to 252523520 relations and 184033559 ideals in 7 passes
  121. Wed Nov 26 10:07:00 2025 max relations containing the same ideal: 159
  122. Wed Nov 26 10:10:02 2025 removing 6799459 relations and 4799459 ideals in 2000000 cliques
  123. Wed Nov 26 10:10:14 2025 commencing in-memory singleton removal
  124. Wed Nov 26 10:10:21 2025 begin with 245724061 relations and 184033559 unique ideals
  125. Wed Nov 26 10:10:36 2025 reduce to 245576695 relations and 179085508 ideals in 6 passes
  126. Wed Nov 26 10:10:36 2025 max relations containing the same ideal: 158
  127. Wed Nov 26 10:13:26 2025 removing 6536381 relations and 4536381 ideals in 2000000 cliques
  128. Wed Nov 26 10:13:38 2025 commencing in-memory singleton removal
  129. Wed Nov 26 10:13:44 2025 begin with 239040314 relations and 179085508 unique ideals
  130. Wed Nov 26 10:13:58 2025 reduce to 238900013 relations and 174407751 ideals in 6 passes
  131. Wed Nov 26 10:13:58 2025 max relations containing the same ideal: 158
  132. Wed Nov 26 10:17:27 2025 removing 6356728 relations and 4356728 ideals in 2000000 cliques
  133. Wed Nov 26 10:17:45 2025 commencing in-memory singleton removal
  134. Wed Nov 26 10:17:51 2025 begin with 232543285 relations and 174407751 unique ideals
  135. Wed Nov 26 10:18:11 2025 reduce to 232409448 relations and 169916048 ideals in 7 passes
  136. Wed Nov 26 10:18:11 2025 max relations containing the same ideal: 154
  137. Wed Nov 26 10:21:36 2025 removing 6214332 relations and 4214332 ideals in 2000000 cliques
  138. Wed Nov 26 10:21:51 2025 commencing in-memory singleton removal
  139. Wed Nov 26 10:21:55 2025 begin with 226195116 relations and 169916048 unique ideals
  140. Wed Nov 26 10:22:07 2025 reduce to 226064350 relations and 165569875 ideals in 5 passes
  141. Wed Nov 26 10:22:07 2025 max relations containing the same ideal: 152
  142. Wed Nov 26 10:24:54 2025 removing 6111904 relations and 4111904 ideals in 2000000 cliques
  143. Wed Nov 26 10:25:08 2025 commencing in-memory singleton removal
  144. Wed Nov 26 10:25:12 2025 begin with 219952446 relations and 165569875 unique ideals
  145. Wed Nov 26 10:25:25 2025 reduce to 219824331 relations and 161328631 ideals in 5 passes
  146. Wed Nov 26 10:25:25 2025 max relations containing the same ideal: 149
  147. Wed Nov 26 10:28:06 2025 removing 6021470 relations and 4021470 ideals in 2000000 cliques
  148. Wed Nov 26 10:28:19 2025 commencing in-memory singleton removal
  149. Wed Nov 26 10:28:24 2025 begin with 213802861 relations and 161328631 unique ideals
  150. Wed Nov 26 10:28:36 2025 reduce to 213675731 relations and 157178890 ideals in 6 passes
  151. Wed Nov 26 10:28:36 2025 max relations containing the same ideal: 149
  152. Wed Nov 26 10:31:03 2025 removing 5951347 relations and 3951347 ideals in 2000000 cliques
  153. Wed Nov 26 10:31:12 2025 commencing in-memory singleton removal
  154. Wed Nov 26 10:31:17 2025 begin with 207724384 relations and 157178890 unique ideals
  155. Wed Nov 26 10:31:30 2025 reduce to 207597948 relations and 153099850 ideals in 6 passes
  156. Wed Nov 26 10:31:30 2025 max relations containing the same ideal: 145
  157. Wed Nov 26 10:34:00 2025 removing 5893972 relations and 3893972 ideals in 2000000 cliques
  158. Wed Nov 26 10:34:11 2025 commencing in-memory singleton removal
  159. Wed Nov 26 10:34:16 2025 begin with 201703976 relations and 153099850 unique ideals
  160. Wed Nov 26 10:34:27 2025 reduce to 201577441 relations and 149078091 ideals in 5 passes
  161. Wed Nov 26 10:34:27 2025 max relations containing the same ideal: 143
  162. Wed Nov 26 10:36:49 2025 removing 5844599 relations and 3844599 ideals in 2000000 cliques
  163. Wed Nov 26 10:36:59 2025 commencing in-memory singleton removal
  164. Wed Nov 26 10:37:04 2025 begin with 195732842 relations and 149078091 unique ideals
  165. Wed Nov 26 10:37:18 2025 reduce to 195606100 relations and 145105383 ideals in 7 passes
  166. Wed Nov 26 10:37:18 2025 max relations containing the same ideal: 140
  167. Wed Nov 26 10:39:27 2025 removing 5804212 relations and 3804212 ideals in 2000000 cliques
  168. Wed Nov 26 10:39:37 2025 commencing in-memory singleton removal
  169. Wed Nov 26 10:39:41 2025 begin with 189801888 relations and 145105383 unique ideals
  170. Wed Nov 26 10:39:53 2025 reduce to 189673086 relations and 141171013 ideals in 6 passes
  171. Wed Nov 26 10:39:53 2025 max relations containing the same ideal: 138
  172. Wed Nov 26 10:41:58 2025 removing 5771290 relations and 3771290 ideals in 2000000 cliques
  173. Wed Nov 26 10:42:06 2025 commencing in-memory singleton removal
  174. Wed Nov 26 10:42:10 2025 begin with 183901796 relations and 141171013 unique ideals
  175. Wed Nov 26 10:42:21 2025 reduce to 183772208 relations and 137268711 ideals in 6 passes
  176. Wed Nov 26 10:42:21 2025 max relations containing the same ideal: 135
  177. Wed Nov 26 10:44:30 2025 removing 5748204 relations and 3748204 ideals in 2000000 cliques
  178. Wed Nov 26 10:44:39 2025 commencing in-memory singleton removal
  179. Wed Nov 26 10:44:43 2025 begin with 178024004 relations and 137268711 unique ideals
  180. Wed Nov 26 10:44:53 2025 reduce to 177891086 relations and 133386063 ideals in 5 passes
  181. Wed Nov 26 10:44:53 2025 max relations containing the same ideal: 127
  182. Wed Nov 26 10:46:53 2025 removing 5724397 relations and 3724397 ideals in 2000000 cliques
  183. Wed Nov 26 10:47:01 2025 commencing in-memory singleton removal
  184. Wed Nov 26 10:47:06 2025 begin with 172166689 relations and 133386063 unique ideals
  185. Wed Nov 26 10:47:16 2025 reduce to 172031488 relations and 129524819 ideals in 6 passes
  186. Wed Nov 26 10:47:16 2025 max relations containing the same ideal: 124
  187. Wed Nov 26 10:49:11 2025 removing 5708935 relations and 3708935 ideals in 2000000 cliques
  188. Wed Nov 26 10:49:18 2025 commencing in-memory singleton removal
  189. Wed Nov 26 10:49:22 2025 begin with 166322553 relations and 129524819 unique ideals
  190. Wed Nov 26 10:49:32 2025 reduce to 166182255 relations and 125673840 ideals in 6 passes
  191. Wed Nov 26 10:49:32 2025 max relations containing the same ideal: 122
  192. Wed Nov 26 10:51:25 2025 removing 5695578 relations and 3695578 ideals in 2000000 cliques
  193. Wed Nov 26 10:51:32 2025 commencing in-memory singleton removal
  194. Wed Nov 26 10:51:37 2025 begin with 160486677 relations and 125673840 unique ideals
  195. Wed Nov 26 10:51:47 2025 reduce to 160344810 relations and 121834519 ideals in 6 passes
  196. Wed Nov 26 10:51:47 2025 max relations containing the same ideal: 121
  197. Wed Nov 26 10:53:43 2025 removing 5688203 relations and 3688203 ideals in 2000000 cliques
  198. Wed Nov 26 10:53:50 2025 commencing in-memory singleton removal
  199. Wed Nov 26 10:53:54 2025 begin with 154656607 relations and 121834519 unique ideals
  200. Wed Nov 26 10:54:02 2025 reduce to 154510117 relations and 117997841 ideals in 5 passes
  201. Wed Nov 26 10:54:02 2025 max relations containing the same ideal: 117
  202. Wed Nov 26 10:55:51 2025 removing 5686471 relations and 3686471 ideals in 2000000 cliques
  203. Wed Nov 26 10:55:59 2025 commencing in-memory singleton removal
  204. Wed Nov 26 10:56:03 2025 begin with 148823646 relations and 117997841 unique ideals
  205. Wed Nov 26 10:56:12 2025 reduce to 148671600 relations and 114157090 ideals in 6 passes
  206. Wed Nov 26 10:56:12 2025 max relations containing the same ideal: 113
  207. Wed Nov 26 10:57:58 2025 removing 5689426 relations and 3689426 ideals in 2000000 cliques
  208. Wed Nov 26 10:58:05 2025 commencing in-memory singleton removal
  209. Wed Nov 26 10:58:10 2025 begin with 142982174 relations and 114157090 unique ideals
  210. Wed Nov 26 10:58:20 2025 reduce to 142824576 relations and 110307839 ideals in 7 passes
  211. Wed Nov 26 10:58:20 2025 max relations containing the same ideal: 111
  212. Wed Nov 26 10:59:56 2025 removing 5693783 relations and 3693783 ideals in 2000000 cliques
  213. Wed Nov 26 11:00:03 2025 commencing in-memory singleton removal
  214. Wed Nov 26 11:00:06 2025 begin with 137130793 relations and 110307839 unique ideals
  215. Wed Nov 26 11:00:13 2025 reduce to 136965338 relations and 106446076 ideals in 6 passes
  216. Wed Nov 26 11:00:13 2025 max relations containing the same ideal: 108
  217. Wed Nov 26 11:01:43 2025 removing 5705835 relations and 3705835 ideals in 2000000 cliques
  218. Wed Nov 26 11:01:49 2025 commencing in-memory singleton removal
  219. Wed Nov 26 11:01:52 2025 begin with 131259503 relations and 106446076 unique ideals
  220. Wed Nov 26 11:01:59 2025 reduce to 131088380 relations and 102566361 ideals in 5 passes
  221. Wed Nov 26 11:01:59 2025 max relations containing the same ideal: 104
  222. Wed Nov 26 11:03:28 2025 removing 5722987 relations and 3722987 ideals in 2000000 cliques
  223. Wed Nov 26 11:03:34 2025 commencing in-memory singleton removal
  224. Wed Nov 26 11:03:37 2025 begin with 125365393 relations and 102566361 unique ideals
  225. Wed Nov 26 11:03:44 2025 reduce to 125185026 relations and 98660097 ideals in 6 passes
  226. Wed Nov 26 11:03:44 2025 max relations containing the same ideal: 100
  227. Wed Nov 26 11:05:08 2025 removing 5746472 relations and 3746472 ideals in 2000000 cliques
  228. Wed Nov 26 11:05:15 2025 commencing in-memory singleton removal
  229. Wed Nov 26 11:05:18 2025 begin with 119438554 relations and 98660097 unique ideals
  230. Wed Nov 26 11:05:24 2025 reduce to 119247508 relations and 94719453 ideals in 6 passes
  231. Wed Nov 26 11:05:24 2025 max relations containing the same ideal: 97
  232. Wed Nov 26 11:06:48 2025 removing 5775130 relations and 3775130 ideals in 2000000 cliques
  233. Wed Nov 26 11:06:54 2025 commencing in-memory singleton removal
  234. Wed Nov 26 11:06:56 2025 begin with 113472378 relations and 94719453 unique ideals
  235. Wed Nov 26 11:07:04 2025 reduce to 113270214 relations and 90738712 ideals in 8 passes
  236. Wed Nov 26 11:07:04 2025 max relations containing the same ideal: 93
  237. Wed Nov 26 11:08:27 2025 removing 5804853 relations and 3804853 ideals in 2000000 cliques
  238. Wed Nov 26 11:08:32 2025 commencing in-memory singleton removal
  239. Wed Nov 26 11:08:35 2025 begin with 107465361 relations and 90738712 unique ideals
  240. Wed Nov 26 11:08:42 2025 reduce to 107248838 relations and 86713501 ideals in 7 passes
  241. Wed Nov 26 11:08:42 2025 max relations containing the same ideal: 90
  242. Wed Nov 26 11:09:56 2025 removing 5850147 relations and 3850147 ideals in 2000000 cliques
  243. Wed Nov 26 11:10:02 2025 commencing in-memory singleton removal
  244. Wed Nov 26 11:10:04 2025 begin with 101398691 relations and 86713501 unique ideals
  245. Wed Nov 26 11:10:10 2025 reduce to 101167104 relations and 82627470 ideals in 6 passes
  246. Wed Nov 26 11:10:10 2025 max relations containing the same ideal: 87
  247. Wed Nov 26 11:11:24 2025 removing 5903379 relations and 3903379 ideals in 2000000 cliques
  248. Wed Nov 26 11:11:29 2025 commencing in-memory singleton removal
  249. Wed Nov 26 11:11:31 2025 begin with 95263725 relations and 82627470 unique ideals
  250. Wed Nov 26 11:11:36 2025 reduce to 95014176 relations and 78469619 ideals in 6 passes
  251. Wed Nov 26 11:11:36 2025 max relations containing the same ideal: 85
  252. Wed Nov 26 11:12:43 2025 removing 5966175 relations and 3966175 ideals in 2000000 cliques
  253. Wed Nov 26 11:12:48 2025 commencing in-memory singleton removal
  254. Wed Nov 26 11:12:50 2025 begin with 89048001 relations and 78469619 unique ideals
  255. Wed Nov 26 11:12:55 2025 reduce to 88775969 relations and 74225875 ideals in 6 passes
  256. Wed Nov 26 11:12:55 2025 max relations containing the same ideal: 83
  257. Wed Nov 26 11:13:57 2025 removing 6042295 relations and 4042295 ideals in 2000000 cliques
  258. Wed Nov 26 11:14:02 2025 commencing in-memory singleton removal
  259. Wed Nov 26 11:14:04 2025 begin with 82733674 relations and 74225875 unique ideals
  260. Wed Nov 26 11:14:09 2025 reduce to 82433166 relations and 69876711 ideals in 7 passes
  261. Wed Nov 26 11:14:09 2025 max relations containing the same ideal: 76
  262. Wed Nov 26 11:15:09 2025 removing 6129702 relations and 4129702 ideals in 2000000 cliques
  263. Wed Nov 26 11:15:13 2025 commencing in-memory singleton removal
  264. Wed Nov 26 11:15:15 2025 begin with 76303464 relations and 69876711 unique ideals
  265. Wed Nov 26 11:15:20 2025 reduce to 75967743 relations and 65403871 ideals in 7 passes
  266. Wed Nov 26 11:15:20 2025 max relations containing the same ideal: 74
  267. Wed Nov 26 11:16:16 2025 removing 6244229 relations and 4244229 ideals in 2000000 cliques
  268. Wed Nov 26 11:16:21 2025 commencing in-memory singleton removal
  269. Wed Nov 26 11:16:22 2025 begin with 69723514 relations and 65403871 unique ideals
  270. Wed Nov 26 11:16:27 2025 reduce to 69346042 relations and 60773472 ideals in 7 passes
  271. Wed Nov 26 11:16:27 2025 max relations containing the same ideal: 70
  272. Wed Nov 26 11:17:18 2025 removing 6377435 relations and 4377435 ideals in 2000000 cliques
  273. Wed Nov 26 11:17:22 2025 commencing in-memory singleton removal
  274. Wed Nov 26 11:17:23 2025 begin with 62968607 relations and 60773472 unique ideals
  275. Wed Nov 26 11:17:27 2025 reduce to 62533950 relations and 55950374 ideals in 7 passes
  276. Wed Nov 26 11:17:27 2025 max relations containing the same ideal: 66
  277. Wed Nov 26 11:18:13 2025 removing 6538056 relations and 4538056 ideals in 2000000 cliques
  278. Wed Nov 26 11:18:17 2025 commencing in-memory singleton removal
  279. Wed Nov 26 11:18:18 2025 begin with 55995894 relations and 55950374 unique ideals
  280. Wed Nov 26 11:18:22 2025 reduce to 55484353 relations and 50886848 ideals in 7 passes
  281. Wed Nov 26 11:18:22 2025 max relations containing the same ideal: 60
  282. Wed Nov 26 11:19:05 2025 removing 6733409 relations and 4733409 ideals in 2000000 cliques
  283. Wed Nov 26 11:19:09 2025 commencing in-memory singleton removal
  284. Wed Nov 26 11:19:10 2025 begin with 48750944 relations and 50886848 unique ideals
  285. Wed Nov 26 11:19:13 2025 reduce to 48129330 relations and 45513065 ideals in 8 passes
  286. Wed Nov 26 11:19:13 2025 max relations containing the same ideal: 53
  287. Wed Nov 26 11:19:53 2025 removing 1444484 relations and 1151005 ideals in 293479 cliques
  288. Wed Nov 26 11:19:56 2025 commencing in-memory singleton removal
  289. Wed Nov 26 11:19:57 2025 begin with 46684846 relations and 45513065 unique ideals
  290. Wed Nov 26 11:19:59 2025 reduce to 46652966 relations and 44330019 ideals in 6 passes
  291. Wed Nov 26 11:19:59 2025 max relations containing the same ideal: 51
  292. Wed Nov 26 11:20:46 2025 relations with 0 large ideals: 6657
  293. Wed Nov 26 11:20:46 2025 relations with 1 large ideals: 69154
  294. Wed Nov 26 11:20:46 2025 relations with 2 large ideals: 801168
  295. Wed Nov 26 11:20:46 2025 relations with 3 large ideals: 3747954
  296. Wed Nov 26 11:20:46 2025 relations with 4 large ideals: 9156565
  297. Wed Nov 26 11:20:46 2025 relations with 5 large ideals: 12986598
  298. Wed Nov 26 11:20:46 2025 relations with 6 large ideals: 11323459
  299. Wed Nov 26 11:20:46 2025 relations with 7+ large ideals: 8561411
  300. Wed Nov 26 11:20:46 2025 commencing 2-way merge
  301. Wed Nov 26 11:21:36 2025 reduce to 29621267 relation sets and 27298320 unique ideals
  302. Wed Nov 26 11:21:36 2025 commencing full merge
  303. Wed Nov 26 11:43:15 2025 memory use: 3475.4 MB
  304. Wed Nov 26 11:43:20 2025 found 12860821 cycles, need 12702520
  305. Wed Nov 26 11:43:27 2025 weight of 12702520 cycles is about 1778835673 (140.04/cycle)
  306. Wed Nov 26 11:43:27 2025 distribution of cycle lengths:
  307. Wed Nov 26 11:43:27 2025 1 relations: 482683
  308. Wed Nov 26 11:43:27 2025 2 relations: 677957
  309. Wed Nov 26 11:43:27 2025 3 relations: 764799
  310. Wed Nov 26 11:43:27 2025 4 relations: 791107
  311. Wed Nov 26 11:43:27 2025 5 relations: 822031
  312. Wed Nov 26 11:43:27 2025 6 relations: 834289
  313. Wed Nov 26 11:43:27 2025 7 relations: 845279
  314. Wed Nov 26 11:43:27 2025 8 relations: 833869
  315. Wed Nov 26 11:43:27 2025 9 relations: 810490
  316. Wed Nov 26 11:43:27 2025 10+ relations: 5840016
  317. Wed Nov 26 11:43:27 2025 heaviest cycle: 28 relations
  318. Wed Nov 26 11:43:36 2025 commencing cycle optimization
  319. Wed Nov 26 11:44:31 2025 start with 122253053 relations
  320. Wed Nov 26 11:53:38 2025 pruned 6339918 relations
  321. Wed Nov 26 11:53:38 2025 memory use: 3154.8 MB
  322. Wed Nov 26 11:53:38 2025 distribution of cycle lengths:
  323. Wed Nov 26 11:53:38 2025 1 relations: 482683
  324. Wed Nov 26 11:53:38 2025 2 relations: 696376
  325. Wed Nov 26 11:53:38 2025 3 relations: 798622
  326. Wed Nov 26 11:53:38 2025 4 relations: 827012
  327. Wed Nov 26 11:53:38 2025 5 relations: 867463
  328. Wed Nov 26 11:53:38 2025 6 relations: 881804
  329. Wed Nov 26 11:53:38 2025 7 relations: 898912
  330. Wed Nov 26 11:53:38 2025 8 relations: 887373
  331. Wed Nov 26 11:53:38 2025 9 relations: 863800
  332. Wed Nov 26 11:53:38 2025 10+ relations: 5498475
  333. Wed Nov 26 11:53:38 2025 heaviest cycle: 28 relations
  334. Wed Nov 26 11:54:16 2025 RelProcTime: 13611
  335. Wed Nov 26 11:54:16 2025
  336. Wed Nov 26 11:54:16 2025 commencing linear algebra
  337. Wed Nov 26 11:54:16 2025 using VBITS=256
  338. Wed Nov 26 11:54:16 2025 stopping after matrix build
  339. Wed Nov 26 11:54:16 2025 initialized process (0,0) of 1 x 1 grid
  340. Wed Nov 26 11:54:19 2025 read 12702520 cycles
  341. Wed Nov 26 11:55:09 2025 cycles contain 45518157 unique relations
  342. Wed Nov 26 12:05:24 2025 read 45518157 relations
  343. Wed Nov 26 12:05:33 2025 using 20 quadratic characters above 4294917295
  344. Wed Nov 26 12:05:41 2025 building initial matrix
  345. Wed Nov 26 12:32:31 2025 memory use: 6471.2 MB
  346. Wed Nov 26 12:32:52 2025 read 12702520 cycles
  347. Wed Nov 26 12:32:58 2025 matrix is 12702342 x 12702520 (6825.4 MB) with weight 2067518395 (162.76/col)
  348. Wed Nov 26 12:32:58 2025 sparse part has weight 1636797035 (128.86/col)
  349. Wed Nov 26 12:41:29 2025 filtering completed in 2 passes
  350. Wed Nov 26 12:41:37 2025 matrix is 12701945 x 12702122 (6825.3 MB) with weight 2067494459 (162.77/col)
  351. Wed Nov 26 12:41:37 2025 sparse part has weight 1636787111 (128.86/col)
  352. Wed Nov 26 12:43:58 2025 BLanczosTime: 2982
  353. Wed Nov 26 12:43:58 2025 elapsed time 04:36:35
  354. Wed Nov 26 12:53:54 2025
  355. Wed Nov 26 12:53:54 2025
  356. Wed Nov 26 12:53:54 2025 Msieve v. 1.54 (SVN Unversioned directory)
  357. Wed Nov 26 12:53:54 2025 random seeds: dbd19abe 02c867d6
  358. Wed Nov 26 12:53:54 2025 MPI process 0 of 1
  359. Wed Nov 26 12:53:54 2025 Using 64 OpenMP threads
  360. Wed Nov 26 12:53:54 2025 factoring 65005006901999891102446239558439026991851579889763222026739390180643562808793871738387613553048253729645519668777279681248856128759258157184360548753490880742161677677304050011843 (179 digits)
  361. Wed Nov 26 12:53:55 2025 searching for 15-digit factors
  362. Wed Nov 26 12:53:55 2025 commencing number field sieve (179-digit input)
  363. Wed Nov 26 12:53:55 2025 R0: -42131347637454510951899050634277912
  364. Wed Nov 26 12:53:55 2025 R1: 346622670315050195449889
  365. Wed Nov 26 12:53:55 2025 A0: 4918373788910633998140127023405942429294926
  366. Wed Nov 26 12:53:55 2025 A1: -925455674166364447628421347001798043
  367. Wed Nov 26 12:53:55 2025 A2: -61017955499750752482002591616
  368. Wed Nov 26 12:53:55 2025 A3: 6183153126668133735163
  369. Wed Nov 26 12:53:55 2025 A4: 94432895972050
  370. Wed Nov 26 12:53:55 2025 A5: 978600
  371. Wed Nov 26 12:53:55 2025 skew 24176282.42, size 1.862e-17, alpha -7.832, combined = 1.050e-13 rroots = 3
  372. Wed Nov 26 12:53:55 2025
  373. Wed Nov 26 12:53:55 2025 commencing linear algebra
  374. Wed Nov 26 12:53:55 2025 using VBITS=256
  375. Wed Nov 26 12:53:55 2025 skipping matrix build
  376. Wed Nov 26 12:53:55 2025 initialized process (0,0) of 1 x 1 grid
  377. Wed Nov 26 12:54:08 2025 matrix starts at (0, 0)
  378. Wed Nov 26 12:54:12 2025 matrix is 12701945 x 12702122 (6825.3 MB) with weight 2067494459 (162.77/col)
  379. Wed Nov 26 12:54:12 2025 sparse part has weight 1636787111 (128.86/col)
  380. Wed Nov 26 12:54:12 2025 saving the first 240 matrix rows for later
  381. Wed Nov 26 12:54:25 2025 matrix includes 256 packed rows
  382. Wed Nov 26 12:54:35 2025 matrix is 12701705 x 12702122 (6140.4 MB) with weight 1498037333 (117.94/col)
  383. Wed Nov 26 12:54:35 2025 sparse part has weight 1406438117 (110.72/col)
  384. Wed Nov 26 12:54:35 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  385. Wed Nov 26 12:55:06 2025 commencing Lanczos iteration (64 threads)
  386. Wed Nov 26 12:55:06 2025 memory use: 8520.8 MB
  387. Wed Nov 26 12:56:57 2025 linear algebra at 0.2%, ETA 12h31m
  388. Wed Nov 26 12:59:39 2025 checking every 10000 dimensions, checkpointing every 1030000 dimensions
  389. Thu Nov 27 01:20:48 2025 lanczos halted after 49765 iterations (dim = 12701704)
  390. Thu Nov 27 01:21:41 2025 recovered 30 nontrivial dependencies
  391. Thu Nov 27 01:21:42 2025 BLanczosTime: 44867
  392. Thu Nov 27 01:21:42 2025
  393. Thu Nov 27 01:21:42 2025 commencing square root phase
  394. Thu Nov 27 01:21:42 2025 handling dependencies 1 to 64
  395. Thu Nov 27 01:21:42 2025 reading relations for dependency 1
  396. Thu Nov 27 01:21:43 2025 read 6349378 cycles
  397. Thu Nov 27 01:21:54 2025 cycles contain 22750850 unique relations
  398. Thu Nov 27 01:31:09 2025 read 22750850 relations
  399. Thu Nov 27 01:34:53 2025 multiplying 22750850 relations
  400. Thu Nov 27 01:39:58 2025 multiply complete, coefficients have about 1351.24 million bits
  401. Thu Nov 27 01:40:05 2025 initial square root is modulo 1151639
  402. Thu Nov 27 01:57:05 2025 GCD is N, no factor found
  403. Thu Nov 27 01:57:05 2025 reading relations for dependency 2
  404. Thu Nov 27 01:57:08 2025 read 6349645 cycles
  405. Thu Nov 27 01:57:37 2025 cycles contain 22762700 unique relations
  406. Thu Nov 27 02:07:51 2025 read 22762700 relations
  407. Thu Nov 27 02:11:39 2025 multiplying 22762700 relations
  408. Thu Nov 27 02:16:15 2025 multiply complete, coefficients have about 1351.95 million bits
  409. Thu Nov 27 02:16:21 2025 initial square root is modulo 1160039
  410. Thu Nov 27 02:33:24 2025 GCD is 1, no factor found
  411. Thu Nov 27 02:33:24 2025 reading relations for dependency 3
  412. Thu Nov 27 02:33:26 2025 read 6353205 cycles
  413. Thu Nov 27 02:33:53 2025 cycles contain 22763078 unique relations
  414. Thu Nov 27 02:44:09 2025 read 22763078 relations
  415. Thu Nov 27 02:47:42 2025 multiplying 22763078 relations
  416. Thu Nov 27 02:52:19 2025 multiply complete, coefficients have about 1351.97 million bits
  417. Thu Nov 27 02:52:25 2025 initial square root is modulo 1160303
  418. Thu Nov 27 03:09:18 2025 GCD is N, no factor found
  419. Thu Nov 27 03:09:18 2025 reading relations for dependency 4
  420. Thu Nov 27 03:09:21 2025 read 6352420 cycles
  421. Thu Nov 27 03:09:47 2025 cycles contain 22763048 unique relations
  422. Thu Nov 27 03:20:00 2025 read 22763048 relations
  423. Thu Nov 27 03:23:28 2025 multiplying 22763048 relations
  424. Thu Nov 27 03:28:04 2025 multiply complete, coefficients have about 1351.97 million bits
  425. Thu Nov 27 03:28:10 2025 initial square root is modulo 1160303
  426. Thu Nov 27 03:45:03 2025 GCD is 1, no factor found
  427. Thu Nov 27 03:45:03 2025 reading relations for dependency 5
  428. Thu Nov 27 03:45:06 2025 read 6350048 cycles
  429. Thu Nov 27 03:45:33 2025 cycles contain 22755830 unique relations
  430. Thu Nov 27 03:55:49 2025 read 22755830 relations
  431. Thu Nov 27 03:59:21 2025 multiplying 22755830 relations
  432. Thu Nov 27 04:03:57 2025 multiply complete, coefficients have about 1351.54 million bits
  433. Thu Nov 27 04:04:04 2025 initial square root is modulo 1155149
  434. Thu Nov 27 04:20:55 2025 sqrtTime: 10753
  435. Thu Nov 27 04:20:55 2025 p59 factor: 76913328590779878158552720007703908870360294335400406172081
  436. Thu Nov 27 04:20:55 2025 p120 factor: 845172196978515395257407078020544992895325663429592665789663525670758766212958609898149188692987989844271692446861287603
  437. Thu Nov 27 04:20:55 2025 elapsed time 15:27:01
  438.  
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