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Jun 24th, 2025
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  1. Mon Jun 23 17:46:57 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Jun 23 17:46:57 2025 random seeds: 5df51621 3ead4a71
  3. Mon Jun 23 17:46:57 2025 Using 16 OpenMP threads
  4. Mon Jun 23 17:46:57 2025 factoring 179846085086017736977109791828114198719583843280666340770323658513580036296264647128981579876100656450962567636464534260891193002628000438665114132841313995620860840156974107050125474405279217404306049451916458587 (213 digits)
  5. Mon Jun 23 17:46:57 2025 no P-1/P+1/ECM available, skipping
  6. Mon Jun 23 17:46:57 2025 commencing number field sieve (213-digit input)
  7. Mon Jun 23 17:46:57 2025 R0: 2000000000000000000000000000000000000000000000
  8. Mon Jun 23 17:46:57 2025 R1: -1
  9. Mon Jun 23 17:46:57 2025 A0: -26
  10. Mon Jun 23 17:46:57 2025 A1: 0
  11. Mon Jun 23 17:46:57 2025 A2: 0
  12. Mon Jun 23 17:46:57 2025 A3: 0
  13. Mon Jun 23 17:46:57 2025 A4: 0
  14. Mon Jun 23 17:46:57 2025 A5: 0
  15. Mon Jun 23 17:46:57 2025 A6: 125
  16. Mon Jun 23 17:46:57 2025 skew 1.00, size 1.594e-13, alpha -0.167, combined = 2.918e-14 rroots = 2
  17. Mon Jun 23 17:46:57 2025
  18. Mon Jun 23 17:46:57 2025 commencing relation filtering
  19. Mon Jun 23 17:46:57 2025 setting target matrix density to 120.0
  20. Mon Jun 23 17:46:57 2025 estimated available RAM is 128734.6 MB
  21. Mon Jun 23 17:46:57 2025 commencing duplicate removal, pass 1
  22. Mon Jun 23 17:52:02 2025 skipped 6702 relations with b > 2^32
  23. Mon Jun 23 17:52:02 2025 skipped 3 malformed relations
  24. Mon Jun 23 17:52:02 2025 found 21838038 hash collisions in 627438183 relations
  25. Mon Jun 23 17:52:09 2025 added 1218121 free relations
  26. Mon Jun 23 17:52:09 2025 commencing duplicate removal, pass 2
  27. Mon Jun 23 17:53:58 2025 found 0 duplicates and 628656304 unique relations
  28. Mon Jun 23 17:53:58 2025 memory use: 2089.5 MB
  29. Mon Jun 23 17:53:58 2025 reading ideals above 309919744
  30. Mon Jun 23 17:53:58 2025 commencing singleton removal, initial pass
  31. Mon Jun 23 18:02:35 2025 memory use: 11024.0 MB
  32. Mon Jun 23 18:02:35 2025 reading all ideals from disk
  33. Mon Jun 23 18:02:37 2025 memory use: 16407.1 MB
  34. Mon Jun 23 18:02:49 2025 commencing in-memory singleton removal
  35. Mon Jun 23 18:02:54 2025 begin with 628656304 relations and 482212069 unique ideals
  36. Mon Jun 23 18:03:26 2025 reduce to 497111374 relations and 345224047 ideals in 13 passes
  37. Mon Jun 23 18:03:26 2025 max relations containing the same ideal: 60
  38. Mon Jun 23 18:03:33 2025 reading ideals above 720000
  39. Mon Jun 23 18:03:33 2025 commencing singleton removal, initial pass
  40. Mon Jun 23 18:18:29 2025 memory use: 11024.0 MB
  41. Mon Jun 23 18:18:30 2025 reading all ideals from disk
  42. Mon Jun 23 18:18:34 2025 memory use: 24980.0 MB
  43. Mon Jun 23 18:18:58 2025 keeping 376199417 ideals with weight <= 200, target excess is 2541088
  44. Mon Jun 23 18:19:32 2025 commencing in-memory singleton removal
  45. Mon Jun 23 18:19:40 2025 begin with 497111374 relations and 376199417 unique ideals
  46. Mon Jun 23 18:19:56 2025 reduce to 497111312 relations and 376199355 ideals in 4 passes
  47. Mon Jun 23 18:19:56 2025 max relations containing the same ideal: 200
  48. Mon Jun 23 18:21:15 2025 removing 13622561 relations and 11622561 ideals in 2000000 cliques
  49. Mon Jun 23 18:21:22 2025 commencing in-memory singleton removal
  50. Mon Jun 23 18:21:29 2025 begin with 483488751 relations and 376199355 unique ideals
  51. Mon Jun 23 18:22:00 2025 reduce to 483225626 relations and 364312133 ideals in 8 passes
  52. Mon Jun 23 18:22:00 2025 max relations containing the same ideal: 200
  53. Mon Jun 23 18:23:15 2025 removing 10317412 relations and 8317412 ideals in 2000000 cliques
  54. Mon Jun 23 18:23:21 2025 commencing in-memory singleton removal
  55. Mon Jun 23 18:23:29 2025 begin with 472908214 relations and 364312133 unique ideals
  56. Mon Jun 23 18:23:55 2025 reduce to 472737883 relations and 355823559 ideals in 7 passes
  57. Mon Jun 23 18:23:55 2025 max relations containing the same ideal: 200
  58. Mon Jun 23 18:25:09 2025 removing 9252178 relations and 7252178 ideals in 2000000 cliques
  59. Mon Jun 23 18:25:15 2025 commencing in-memory singleton removal
  60. Mon Jun 23 18:25:22 2025 begin with 463485705 relations and 355823559 unique ideals
  61. Mon Jun 23 18:25:48 2025 reduce to 463340700 relations and 348425742 ideals in 7 passes
  62. Mon Jun 23 18:25:48 2025 max relations containing the same ideal: 199
  63. Mon Jun 23 18:26:59 2025 removing 8633707 relations and 6633707 ideals in 2000000 cliques
  64. Mon Jun 23 18:27:05 2025 commencing in-memory singleton removal
  65. Mon Jun 23 18:27:12 2025 begin with 454706993 relations and 348425742 unique ideals
  66. Mon Jun 23 18:27:37 2025 reduce to 454577147 relations and 341661610 ideals in 7 passes
  67. Mon Jun 23 18:27:37 2025 max relations containing the same ideal: 197
  68. Mon Jun 23 18:28:47 2025 removing 8212979 relations and 6212979 ideals in 2000000 cliques
  69. Mon Jun 23 18:28:53 2025 commencing in-memory singleton removal
  70. Mon Jun 23 18:29:00 2025 begin with 446364168 relations and 341661610 unique ideals
  71. Mon Jun 23 18:29:25 2025 reduce to 446241810 relations and 335325753 ideals in 7 passes
  72. Mon Jun 23 18:29:25 2025 max relations containing the same ideal: 196
  73. Mon Jun 23 18:30:33 2025 removing 7900145 relations and 5900145 ideals in 2000000 cliques
  74. Mon Jun 23 18:30:39 2025 commencing in-memory singleton removal
  75. Mon Jun 23 18:30:46 2025 begin with 438341665 relations and 335325753 unique ideals
  76. Mon Jun 23 18:31:07 2025 reduce to 438226030 relations and 329309462 ideals in 6 passes
  77. Mon Jun 23 18:31:07 2025 max relations containing the same ideal: 193
  78. Mon Jun 23 18:32:14 2025 removing 7654758 relations and 5654758 ideals in 2000000 cliques
  79. Mon Jun 23 18:32:19 2025 commencing in-memory singleton removal
  80. Mon Jun 23 18:32:26 2025 begin with 430571272 relations and 329309462 unique ideals
  81. Mon Jun 23 18:32:46 2025 reduce to 430460936 relations and 323543883 ideals in 6 passes
  82. Mon Jun 23 18:32:46 2025 max relations containing the same ideal: 192
  83. Mon Jun 23 18:33:52 2025 removing 7464964 relations and 5464964 ideals in 2000000 cliques
  84. Mon Jun 23 18:33:58 2025 commencing in-memory singleton removal
  85. Mon Jun 23 18:34:04 2025 begin with 422995972 relations and 323543883 unique ideals
  86. Mon Jun 23 18:34:24 2025 reduce to 422887573 relations and 317970010 ideals in 6 passes
  87. Mon Jun 23 18:34:24 2025 max relations containing the same ideal: 189
  88. Mon Jun 23 18:35:29 2025 removing 7304697 relations and 5304697 ideals in 2000000 cliques
  89. Mon Jun 23 18:35:34 2025 commencing in-memory singleton removal
  90. Mon Jun 23 18:35:41 2025 begin with 415582876 relations and 317970010 unique ideals
  91. Mon Jun 23 18:36:04 2025 reduce to 415477012 relations and 312558910 ideals in 7 passes
  92. Mon Jun 23 18:36:04 2025 max relations containing the same ideal: 187
  93. Mon Jun 23 18:37:07 2025 removing 7175174 relations and 5175174 ideals in 2000000 cliques
  94. Mon Jun 23 18:37:13 2025 commencing in-memory singleton removal
  95. Mon Jun 23 18:37:19 2025 begin with 408301838 relations and 312558910 unique ideals
  96. Mon Jun 23 18:37:38 2025 reduce to 408198050 relations and 307279443 ideals in 6 passes
  97. Mon Jun 23 18:37:38 2025 max relations containing the same ideal: 185
  98. Mon Jun 23 18:38:41 2025 removing 7062525 relations and 5062525 ideals in 2000000 cliques
  99. Mon Jun 23 18:38:46 2025 commencing in-memory singleton removal
  100. Mon Jun 23 18:38:52 2025 begin with 401135525 relations and 307279443 unique ideals
  101. Mon Jun 23 18:39:11 2025 reduce to 401033144 relations and 302114009 ideals in 6 passes
  102. Mon Jun 23 18:39:11 2025 max relations containing the same ideal: 183
  103. Mon Jun 23 18:40:13 2025 removing 6964023 relations and 4964023 ideals in 2000000 cliques
  104. Mon Jun 23 18:40:18 2025 commencing in-memory singleton removal
  105. Mon Jun 23 18:40:24 2025 begin with 394069121 relations and 302114009 unique ideals
  106. Mon Jun 23 18:40:46 2025 reduce to 393967531 relations and 297047853 ideals in 7 passes
  107. Mon Jun 23 18:40:46 2025 max relations containing the same ideal: 183
  108. Mon Jun 23 18:41:47 2025 removing 6882860 relations and 4882860 ideals in 2000000 cliques
  109. Mon Jun 23 18:41:52 2025 commencing in-memory singleton removal
  110. Mon Jun 23 18:41:58 2025 begin with 387084671 relations and 297047853 unique ideals
  111. Mon Jun 23 18:42:16 2025 reduce to 386984322 relations and 292064070 ideals in 6 passes
  112. Mon Jun 23 18:42:16 2025 max relations containing the same ideal: 180
  113. Mon Jun 23 18:43:16 2025 removing 6810872 relations and 4810872 ideals in 2000000 cliques
  114. Mon Jun 23 18:43:21 2025 commencing in-memory singleton removal
  115. Mon Jun 23 18:43:27 2025 begin with 380173450 relations and 292064070 unique ideals
  116. Mon Jun 23 18:43:45 2025 reduce to 380073069 relations and 287152236 ideals in 6 passes
  117. Mon Jun 23 18:43:45 2025 max relations containing the same ideal: 180
  118. Mon Jun 23 18:44:44 2025 removing 6746729 relations and 4746729 ideals in 2000000 cliques
  119. Mon Jun 23 18:44:49 2025 commencing in-memory singleton removal
  120. Mon Jun 23 18:44:55 2025 begin with 373326340 relations and 287152236 unique ideals
  121. Mon Jun 23 18:45:12 2025 reduce to 373225928 relations and 282304493 ideals in 6 passes
  122. Mon Jun 23 18:45:12 2025 max relations containing the same ideal: 177
  123. Mon Jun 23 18:46:11 2025 removing 6690384 relations and 4690384 ideals in 2000000 cliques
  124. Mon Jun 23 18:46:15 2025 commencing in-memory singleton removal
  125. Mon Jun 23 18:46:21 2025 begin with 366535544 relations and 282304493 unique ideals
  126. Mon Jun 23 18:46:38 2025 reduce to 366435116 relations and 277513072 ideals in 6 passes
  127. Mon Jun 23 18:46:38 2025 max relations containing the same ideal: 175
  128. Mon Jun 23 18:47:36 2025 removing 6638750 relations and 4638750 ideals in 2000000 cliques
  129. Mon Jun 23 18:47:40 2025 commencing in-memory singleton removal
  130. Mon Jun 23 18:47:46 2025 begin with 359796366 relations and 277513072 unique ideals
  131. Mon Jun 23 18:48:03 2025 reduce to 359695607 relations and 272772917 ideals in 6 passes
  132. Mon Jun 23 18:48:03 2025 max relations containing the same ideal: 174
  133. Mon Jun 23 18:48:59 2025 removing 6593455 relations and 4593455 ideals in 2000000 cliques
  134. Mon Jun 23 18:49:04 2025 commencing in-memory singleton removal
  135. Mon Jun 23 18:49:09 2025 begin with 353102152 relations and 272772917 unique ideals
  136. Mon Jun 23 18:49:23 2025 reduce to 353000834 relations and 268077490 ideals in 5 passes
  137. Mon Jun 23 18:49:23 2025 max relations containing the same ideal: 172
  138. Mon Jun 23 18:50:19 2025 removing 6552042 relations and 4552042 ideals in 2000000 cliques
  139. Mon Jun 23 18:50:23 2025 commencing in-memory singleton removal
  140. Mon Jun 23 18:50:28 2025 begin with 346448792 relations and 268077490 unique ideals
  141. Mon Jun 23 18:50:45 2025 reduce to 346346694 relations and 263422644 ideals in 6 passes
  142. Mon Jun 23 18:50:45 2025 max relations containing the same ideal: 171
  143. Mon Jun 23 18:51:40 2025 removing 6515297 relations and 4515297 ideals in 2000000 cliques
  144. Mon Jun 23 18:51:44 2025 commencing in-memory singleton removal
  145. Mon Jun 23 18:51:49 2025 begin with 339831397 relations and 263422644 unique ideals
  146. Mon Jun 23 18:52:05 2025 reduce to 339728824 relations and 258804086 ideals in 6 passes
  147. Mon Jun 23 18:52:05 2025 max relations containing the same ideal: 168
  148. Mon Jun 23 18:52:59 2025 removing 6487895 relations and 4487895 ideals in 2000000 cliques
  149. Mon Jun 23 18:53:03 2025 commencing in-memory singleton removal
  150. Mon Jun 23 18:53:08 2025 begin with 333240929 relations and 258804086 unique ideals
  151. Mon Jun 23 18:53:24 2025 reduce to 333138110 relations and 254212636 ideals in 6 passes
  152. Mon Jun 23 18:53:24 2025 max relations containing the same ideal: 166
  153. Mon Jun 23 18:54:17 2025 removing 6458504 relations and 4458504 ideals in 2000000 cliques
  154. Mon Jun 23 18:54:21 2025 commencing in-memory singleton removal
  155. Mon Jun 23 18:54:26 2025 begin with 326679606 relations and 254212636 unique ideals
  156. Mon Jun 23 18:54:41 2025 reduce to 326575068 relations and 249648779 ideals in 6 passes
  157. Mon Jun 23 18:54:41 2025 max relations containing the same ideal: 163
  158. Mon Jun 23 18:55:34 2025 removing 6434585 relations and 4434585 ideals in 2000000 cliques
  159. Mon Jun 23 18:55:38 2025 commencing in-memory singleton removal
  160. Mon Jun 23 18:55:42 2025 begin with 320140483 relations and 249648779 unique ideals
  161. Mon Jun 23 18:55:58 2025 reduce to 320035009 relations and 245107935 ideals in 6 passes
  162. Mon Jun 23 18:55:58 2025 max relations containing the same ideal: 161
  163. Mon Jun 23 18:56:49 2025 removing 6411626 relations and 4411626 ideals in 2000000 cliques
  164. Mon Jun 23 18:56:53 2025 commencing in-memory singleton removal
  165. Mon Jun 23 18:56:57 2025 begin with 313623383 relations and 245107935 unique ideals
  166. Mon Jun 23 18:57:10 2025 reduce to 313516068 relations and 240588135 ideals in 5 passes
  167. Mon Jun 23 18:57:10 2025 max relations containing the same ideal: 161
  168. Mon Jun 23 18:58:00 2025 removing 6389987 relations and 4389987 ideals in 2000000 cliques
  169. Mon Jun 23 18:58:04 2025 commencing in-memory singleton removal
  170. Mon Jun 23 18:58:09 2025 begin with 307126081 relations and 240588135 unique ideals
  171. Mon Jun 23 18:58:23 2025 reduce to 307017656 relations and 236088845 ideals in 6 passes
  172. Mon Jun 23 18:58:23 2025 max relations containing the same ideal: 160
  173. Mon Jun 23 18:59:13 2025 removing 6374156 relations and 4374156 ideals in 2000000 cliques
  174. Mon Jun 23 18:59:17 2025 commencing in-memory singleton removal
  175. Mon Jun 23 18:59:21 2025 begin with 300643500 relations and 236088845 unique ideals
  176. Mon Jun 23 18:59:35 2025 reduce to 300533153 relations and 231603429 ideals in 6 passes
  177. Mon Jun 23 18:59:35 2025 max relations containing the same ideal: 155
  178. Mon Jun 23 19:00:24 2025 removing 6361933 relations and 4361933 ideals in 2000000 cliques
  179. Mon Jun 23 19:00:28 2025 commencing in-memory singleton removal
  180. Mon Jun 23 19:00:32 2025 begin with 294171220 relations and 231603429 unique ideals
  181. Mon Jun 23 19:00:46 2025 reduce to 294060382 relations and 227129636 ideals in 6 passes
  182. Mon Jun 23 19:00:46 2025 max relations containing the same ideal: 152
  183. Mon Jun 23 19:01:34 2025 removing 6348099 relations and 4348099 ideals in 2000000 cliques
  184. Mon Jun 23 19:01:38 2025 commencing in-memory singleton removal
  185. Mon Jun 23 19:01:42 2025 begin with 287712283 relations and 227129636 unique ideals
  186. Mon Jun 23 19:01:55 2025 reduce to 287599642 relations and 222667916 ideals in 6 passes
  187. Mon Jun 23 19:01:55 2025 max relations containing the same ideal: 150
  188. Mon Jun 23 19:02:42 2025 removing 6338819 relations and 4338819 ideals in 2000000 cliques
  189. Mon Jun 23 19:02:46 2025 commencing in-memory singleton removal
  190. Mon Jun 23 19:02:50 2025 begin with 281260823 relations and 222667916 unique ideals
  191. Mon Jun 23 19:03:03 2025 reduce to 281145755 relations and 218212987 ideals in 6 passes
  192. Mon Jun 23 19:03:03 2025 max relations containing the same ideal: 150
  193. Mon Jun 23 19:03:48 2025 removing 6329773 relations and 4329773 ideals in 2000000 cliques
  194. Mon Jun 23 19:03:52 2025 commencing in-memory singleton removal
  195. Mon Jun 23 19:03:56 2025 begin with 274815982 relations and 218212987 unique ideals
  196. Mon Jun 23 19:04:09 2025 reduce to 274698430 relations and 213764578 ideals in 6 passes
  197. Mon Jun 23 19:04:09 2025 max relations containing the same ideal: 148
  198. Mon Jun 23 19:04:53 2025 removing 6321810 relations and 4321810 ideals in 2000000 cliques
  199. Mon Jun 23 19:04:57 2025 commencing in-memory singleton removal
  200. Mon Jun 23 19:05:01 2025 begin with 268376620 relations and 213764578 unique ideals
  201. Mon Jun 23 19:05:13 2025 reduce to 268256766 relations and 209321778 ideals in 6 passes
  202. Mon Jun 23 19:05:13 2025 max relations containing the same ideal: 145
  203. Mon Jun 23 19:05:57 2025 removing 6320058 relations and 4320058 ideals in 2000000 cliques
  204. Mon Jun 23 19:06:01 2025 commencing in-memory singleton removal
  205. Mon Jun 23 19:06:04 2025 begin with 261936708 relations and 209321778 unique ideals
  206. Mon Jun 23 19:06:17 2025 reduce to 261816322 relations and 204880187 ideals in 6 passes
  207. Mon Jun 23 19:06:17 2025 max relations containing the same ideal: 143
  208. Mon Jun 23 19:06:59 2025 removing 6316827 relations and 4316827 ideals in 2000000 cliques
  209. Mon Jun 23 19:07:03 2025 commencing in-memory singleton removal
  210. Mon Jun 23 19:07:07 2025 begin with 255499495 relations and 204880187 unique ideals
  211. Mon Jun 23 19:07:19 2025 reduce to 255375743 relations and 200438400 ideals in 6 passes
  212. Mon Jun 23 19:07:19 2025 max relations containing the same ideal: 140
  213. Mon Jun 23 19:08:00 2025 removing 6318729 relations and 4318729 ideals in 2000000 cliques
  214. Mon Jun 23 19:08:04 2025 commencing in-memory singleton removal
  215. Mon Jun 23 19:08:07 2025 begin with 249057014 relations and 200438400 unique ideals
  216. Mon Jun 23 19:08:19 2025 reduce to 248930141 relations and 195991545 ideals in 6 passes
  217. Mon Jun 23 19:08:19 2025 max relations containing the same ideal: 136
  218. Mon Jun 23 19:09:00 2025 removing 6322331 relations and 4322331 ideals in 2000000 cliques
  219. Mon Jun 23 19:09:03 2025 commencing in-memory singleton removal
  220. Mon Jun 23 19:09:07 2025 begin with 242607810 relations and 195991545 unique ideals
  221. Mon Jun 23 19:09:18 2025 reduce to 242478711 relations and 191538787 ideals in 6 passes
  222. Mon Jun 23 19:09:18 2025 max relations containing the same ideal: 135
  223. Mon Jun 23 19:09:58 2025 removing 6325077 relations and 4325077 ideals in 2000000 cliques
  224. Mon Jun 23 19:10:01 2025 commencing in-memory singleton removal
  225. Mon Jun 23 19:10:05 2025 begin with 236153634 relations and 191538787 unique ideals
  226. Mon Jun 23 19:10:16 2025 reduce to 236020902 relations and 187079529 ideals in 6 passes
  227. Mon Jun 23 19:10:16 2025 max relations containing the same ideal: 133
  228. Mon Jun 23 19:10:55 2025 removing 6331250 relations and 4331250 ideals in 2000000 cliques
  229. Mon Jun 23 19:10:58 2025 commencing in-memory singleton removal
  230. Mon Jun 23 19:11:01 2025 begin with 229689652 relations and 187079529 unique ideals
  231. Mon Jun 23 19:11:12 2025 reduce to 229553766 relations and 182610964 ideals in 6 passes
  232. Mon Jun 23 19:11:12 2025 max relations containing the same ideal: 130
  233. Mon Jun 23 19:11:50 2025 removing 6342002 relations and 4342002 ideals in 2000000 cliques
  234. Mon Jun 23 19:11:53 2025 commencing in-memory singleton removal
  235. Mon Jun 23 19:11:57 2025 begin with 223211764 relations and 182610964 unique ideals
  236. Mon Jun 23 19:12:07 2025 reduce to 223072825 relations and 178128486 ideals in 6 passes
  237. Mon Jun 23 19:12:07 2025 max relations containing the same ideal: 129
  238. Mon Jun 23 19:12:44 2025 removing 6350734 relations and 4350734 ideals in 2000000 cliques
  239. Mon Jun 23 19:12:48 2025 commencing in-memory singleton removal
  240. Mon Jun 23 19:12:51 2025 begin with 216722091 relations and 178128486 unique ideals
  241. Mon Jun 23 19:13:01 2025 reduce to 216578814 relations and 173632843 ideals in 6 passes
  242. Mon Jun 23 19:13:01 2025 max relations containing the same ideal: 127
  243. Mon Jun 23 19:13:37 2025 removing 6365117 relations and 4365117 ideals in 2000000 cliques
  244. Mon Jun 23 19:13:40 2025 commencing in-memory singleton removal
  245. Mon Jun 23 19:13:43 2025 begin with 210213697 relations and 173632843 unique ideals
  246. Mon Jun 23 19:13:53 2025 reduce to 210066025 relations and 169118323 ideals in 6 passes
  247. Mon Jun 23 19:13:53 2025 max relations containing the same ideal: 126
  248. Mon Jun 23 19:14:28 2025 removing 6379292 relations and 4379292 ideals in 2000000 cliques
  249. Mon Jun 23 19:14:31 2025 commencing in-memory singleton removal
  250. Mon Jun 23 19:14:34 2025 begin with 203686733 relations and 169118323 unique ideals
  251. Mon Jun 23 19:14:44 2025 reduce to 203533832 relations and 164584366 ideals in 6 passes
  252. Mon Jun 23 19:14:44 2025 max relations containing the same ideal: 122
  253. Mon Jun 23 19:15:18 2025 removing 6393057 relations and 4393057 ideals in 2000000 cliques
  254. Mon Jun 23 19:15:21 2025 commencing in-memory singleton removal
  255. Mon Jun 23 19:15:24 2025 begin with 197140775 relations and 164584366 unique ideals
  256. Mon Jun 23 19:15:33 2025 reduce to 196983356 relations and 160032042 ideals in 6 passes
  257. Mon Jun 23 19:15:33 2025 max relations containing the same ideal: 121
  258. Mon Jun 23 19:16:07 2025 removing 6413750 relations and 4413750 ideals in 2000000 cliques
  259. Mon Jun 23 19:16:10 2025 commencing in-memory singleton removal
  260. Mon Jun 23 19:16:12 2025 begin with 190569606 relations and 160032042 unique ideals
  261. Mon Jun 23 19:16:21 2025 reduce to 190407565 relations and 155454314 ideals in 6 passes
  262. Mon Jun 23 19:16:21 2025 max relations containing the same ideal: 119
  263. Mon Jun 23 19:16:54 2025 removing 6435963 relations and 4435963 ideals in 2000000 cliques
  264. Mon Jun 23 19:16:57 2025 commencing in-memory singleton removal
  265. Mon Jun 23 19:16:59 2025 begin with 183971602 relations and 155454314 unique ideals
  266. Mon Jun 23 19:17:08 2025 reduce to 183803771 relations and 150848500 ideals in 6 passes
  267. Mon Jun 23 19:17:08 2025 max relations containing the same ideal: 118
  268. Mon Jun 23 19:17:39 2025 removing 6460756 relations and 4460756 ideals in 2000000 cliques
  269. Mon Jun 23 19:17:42 2025 commencing in-memory singleton removal
  270. Mon Jun 23 19:17:45 2025 begin with 177343015 relations and 150848500 unique ideals
  271. Mon Jun 23 19:17:54 2025 reduce to 177168411 relations and 146210990 ideals in 7 passes
  272. Mon Jun 23 19:17:54 2025 max relations containing the same ideal: 113
  273. Mon Jun 23 19:18:25 2025 removing 6492007 relations and 4492007 ideals in 2000000 cliques
  274. Mon Jun 23 19:18:27 2025 commencing in-memory singleton removal
  275. Mon Jun 23 19:18:30 2025 begin with 170676404 relations and 146210990 unique ideals
  276. Mon Jun 23 19:18:37 2025 reduce to 170495655 relations and 141535983 ideals in 6 passes
  277. Mon Jun 23 19:18:37 2025 max relations containing the same ideal: 109
  278. Mon Jun 23 19:19:07 2025 removing 6520111 relations and 4520111 ideals in 2000000 cliques
  279. Mon Jun 23 19:19:10 2025 commencing in-memory singleton removal
  280. Mon Jun 23 19:19:12 2025 begin with 163975544 relations and 141535983 unique ideals
  281. Mon Jun 23 19:19:20 2025 reduce to 163788343 relations and 136826168 ideals in 6 passes
  282. Mon Jun 23 19:19:20 2025 max relations containing the same ideal: 105
  283. Mon Jun 23 19:19:49 2025 removing 6556618 relations and 4556618 ideals in 2000000 cliques
  284. Mon Jun 23 19:19:51 2025 commencing in-memory singleton removal
  285. Mon Jun 23 19:19:53 2025 begin with 157231725 relations and 136826168 unique ideals
  286. Mon Jun 23 19:20:00 2025 reduce to 157035941 relations and 132071071 ideals in 6 passes
  287. Mon Jun 23 19:20:00 2025 max relations containing the same ideal: 103
  288. Mon Jun 23 19:20:28 2025 removing 6592248 relations and 4592248 ideals in 2000000 cliques
  289. Mon Jun 23 19:20:31 2025 commencing in-memory singleton removal
  290. Mon Jun 23 19:20:33 2025 begin with 150443693 relations and 132071071 unique ideals
  291. Mon Jun 23 19:20:40 2025 reduce to 150239023 relations and 127271383 ideals in 6 passes
  292. Mon Jun 23 19:20:40 2025 max relations containing the same ideal: 100
  293. Mon Jun 23 19:21:07 2025 removing 6630156 relations and 4630156 ideals in 2000000 cliques
  294. Mon Jun 23 19:21:09 2025 commencing in-memory singleton removal
  295. Mon Jun 23 19:21:11 2025 begin with 143608867 relations and 127271383 unique ideals
  296. Mon Jun 23 19:21:18 2025 reduce to 143393037 relations and 122422502 ideals in 7 passes
  297. Mon Jun 23 19:21:18 2025 max relations containing the same ideal: 97
  298. Mon Jun 23 19:21:44 2025 removing 6678268 relations and 4678268 ideals in 2000000 cliques
  299. Mon Jun 23 19:21:47 2025 commencing in-memory singleton removal
  300. Mon Jun 23 19:21:49 2025 begin with 136714769 relations and 122422502 unique ideals
  301. Mon Jun 23 19:21:55 2025 reduce to 136489406 relations and 117515677 ideals in 6 passes
  302. Mon Jun 23 19:21:55 2025 max relations containing the same ideal: 94
  303. Mon Jun 23 19:22:20 2025 removing 6724786 relations and 4724786 ideals in 2000000 cliques
  304. Mon Jun 23 19:22:22 2025 commencing in-memory singleton removal
  305. Mon Jun 23 19:22:24 2025 begin with 129764620 relations and 117515677 unique ideals
  306. Mon Jun 23 19:22:29 2025 reduce to 129525930 relations and 112548798 ideals in 6 passes
  307. Mon Jun 23 19:22:29 2025 max relations containing the same ideal: 92
  308. Mon Jun 23 19:22:53 2025 removing 6775283 relations and 4775283 ideals in 2000000 cliques
  309. Mon Jun 23 19:22:55 2025 commencing in-memory singleton removal
  310. Mon Jun 23 19:22:57 2025 begin with 122750647 relations and 112548798 unique ideals
  311. Mon Jun 23 19:23:03 2025 reduce to 122497492 relations and 107516617 ideals in 7 passes
  312. Mon Jun 23 19:23:03 2025 max relations containing the same ideal: 88
  313. Mon Jun 23 19:23:26 2025 removing 6835966 relations and 4835966 ideals in 2000000 cliques
  314. Mon Jun 23 19:23:28 2025 commencing in-memory singleton removal
  315. Mon Jun 23 19:23:30 2025 begin with 115661526 relations and 107516617 unique ideals
  316. Mon Jun 23 19:23:36 2025 reduce to 115391331 relations and 102406232 ideals in 7 passes
  317. Mon Jun 23 19:23:36 2025 max relations containing the same ideal: 85
  318. Mon Jun 23 19:23:57 2025 removing 6896606 relations and 4896606 ideals in 2000000 cliques
  319. Mon Jun 23 19:23:59 2025 commencing in-memory singleton removal
  320. Mon Jun 23 19:24:00 2025 begin with 108494725 relations and 102406232 unique ideals
  321. Mon Jun 23 19:24:06 2025 reduce to 108206325 relations and 97216569 ideals in 7 passes
  322. Mon Jun 23 19:24:06 2025 max relations containing the same ideal: 81
  323. Mon Jun 23 19:24:26 2025 removing 6966024 relations and 4966024 ideals in 2000000 cliques
  324. Mon Jun 23 19:24:28 2025 commencing in-memory singleton removal
  325. Mon Jun 23 19:24:29 2025 begin with 101240301 relations and 97216569 unique ideals
  326. Mon Jun 23 19:24:34 2025 reduce to 100929393 relations and 91934516 ideals in 6 passes
  327. Mon Jun 23 19:24:34 2025 max relations containing the same ideal: 79
  328. Mon Jun 23 19:24:53 2025 removing 7039584 relations and 5039584 ideals in 2000000 cliques
  329. Mon Jun 23 19:24:55 2025 commencing in-memory singleton removal
  330. Mon Jun 23 19:24:56 2025 begin with 93889809 relations and 91934516 unique ideals
  331. Mon Jun 23 19:25:01 2025 reduce to 93549241 relations and 86548452 ideals in 7 passes
  332. Mon Jun 23 19:25:01 2025 max relations containing the same ideal: 73
  333. Mon Jun 23 19:25:19 2025 removing 7123543 relations and 5123543 ideals in 2000000 cliques
  334. Mon Jun 23 19:25:20 2025 commencing in-memory singleton removal
  335. Mon Jun 23 19:25:22 2025 begin with 86425698 relations and 86548452 unique ideals
  336. Mon Jun 23 19:25:26 2025 reduce to 86047358 relations and 81039784 ideals in 7 passes
  337. Mon Jun 23 19:25:26 2025 max relations containing the same ideal: 68
  338. Mon Jun 23 19:25:42 2025 removing 7230439 relations and 5230439 ideals in 2000000 cliques
  339. Mon Jun 23 19:25:44 2025 commencing in-memory singleton removal
  340. Mon Jun 23 19:25:45 2025 begin with 78816919 relations and 81039784 unique ideals
  341. Mon Jun 23 19:25:50 2025 reduce to 78391187 relations and 75375215 ideals in 8 passes
  342. Mon Jun 23 19:25:50 2025 max relations containing the same ideal: 65
  343. Mon Jun 23 19:26:05 2025 removing 416376 relations and 348067 ideals in 68309 cliques
  344. Mon Jun 23 19:26:06 2025 commencing in-memory singleton removal
  345. Mon Jun 23 19:26:07 2025 begin with 77974811 relations and 75375215 unique ideals
  346. Mon Jun 23 19:26:10 2025 reduce to 77973430 relations and 75025767 ideals in 5 passes
  347. Mon Jun 23 19:26:10 2025 max relations containing the same ideal: 65
  348. Mon Jun 23 19:26:16 2025 relations with 0 large ideals: 96760
  349. Mon Jun 23 19:26:16 2025 relations with 1 large ideals: 75849
  350. Mon Jun 23 19:26:16 2025 relations with 2 large ideals: 886346
  351. Mon Jun 23 19:26:16 2025 relations with 3 large ideals: 4549664
  352. Mon Jun 23 19:26:16 2025 relations with 4 large ideals: 12387207
  353. Mon Jun 23 19:26:16 2025 relations with 5 large ideals: 19909796
  354. Mon Jun 23 19:26:16 2025 relations with 6 large ideals: 19921217
  355. Mon Jun 23 19:26:16 2025 relations with 7+ large ideals: 20146591
  356. Mon Jun 23 19:26:16 2025 commencing 2-way merge
  357. Mon Jun 23 19:26:38 2025 reduce to 49750430 relation sets and 46802767 unique ideals
  358. Mon Jun 23 19:26:38 2025 commencing full merge
  359. Mon Jun 23 19:36:54 2025 memory use: 6087.4 MB
  360. Mon Jun 23 19:36:57 2025 found 22960876 cycles, need 22648967
  361. Mon Jun 23 19:37:01 2025 weight of 22648967 cycles is about 2718132450 (120.01/cycle)
  362. Mon Jun 23 19:37:01 2025 distribution of cycle lengths:
  363. Mon Jun 23 19:37:01 2025 1 relations: 1075846
  364. Mon Jun 23 19:37:01 2025 2 relations: 1381065
  365. Mon Jun 23 19:37:01 2025 3 relations: 1582186
  366. Mon Jun 23 19:37:01 2025 4 relations: 1638394
  367. Mon Jun 23 19:37:01 2025 5 relations: 1703516
  368. Mon Jun 23 19:37:01 2025 6 relations: 1702156
  369. Mon Jun 23 19:37:01 2025 7 relations: 1686965
  370. Mon Jun 23 19:37:01 2025 8 relations: 1621169
  371. Mon Jun 23 19:37:01 2025 9 relations: 1532808
  372. Mon Jun 23 19:37:01 2025 10+ relations: 8724862
  373. Mon Jun 23 19:37:01 2025 heaviest cycle: 28 relations
  374. Mon Jun 23 19:37:06 2025 commencing cycle optimization
  375. Mon Jun 23 19:37:36 2025 start with 193120969 relations
  376. Mon Jun 23 19:41:27 2025 pruned 8417715 relations
  377. Mon Jun 23 19:41:27 2025 memory use: 5202.3 MB
  378. Mon Jun 23 19:41:27 2025 distribution of cycle lengths:
  379. Mon Jun 23 19:41:27 2025 1 relations: 1075846
  380. Mon Jun 23 19:41:27 2025 2 relations: 1413493
  381. Mon Jun 23 19:41:27 2025 3 relations: 1646253
  382. Mon Jun 23 19:41:27 2025 4 relations: 1704359
  383. Mon Jun 23 19:41:27 2025 5 relations: 1787209
  384. Mon Jun 23 19:41:27 2025 6 relations: 1786021
  385. Mon Jun 23 19:41:27 2025 7 relations: 1778182
  386. Mon Jun 23 19:41:27 2025 8 relations: 1703609
  387. Mon Jun 23 19:41:27 2025 9 relations: 1608190
  388. Mon Jun 23 19:41:27 2025 10+ relations: 8145805
  389. Mon Jun 23 19:41:27 2025 heaviest cycle: 27 relations
  390. Mon Jun 23 19:41:49 2025 RelProcTime: 6892
  391. Mon Jun 23 19:41:49 2025 elapsed time 01:54:52
  392. Mon Jun 23 19:43:32 2025
  393. Mon Jun 23 19:43:32 2025
  394. Mon Jun 23 19:43:32 2025 Msieve v. 1.54 (SVN 66ed352)
  395. Mon Jun 23 19:43:32 2025 random seeds: 5da03ff2 fb39fd50
  396. Mon Jun 23 19:43:32 2025 MPI process 0 of 2
  397. Mon Jun 23 19:43:32 2025 Using 8 OpenMP threads
  398. Mon Jun 23 19:43:32 2025 factoring 179846085086017736977109791828114198719583843280666340770323658513580036296264647128981579876100656450962567636464534260891193002628000438665114132841313995620860840156974107050125474405279217404306049451916458587 (213 digits)
  399. Mon Jun 23 19:43:33 2025 no P-1/P+1/ECM available, skipping
  400. Mon Jun 23 19:43:33 2025 commencing number field sieve (213-digit input)
  401. Mon Jun 23 19:43:33 2025 R0: 2000000000000000000000000000000000000000000000
  402. Mon Jun 23 19:43:33 2025 R1: -1
  403. Mon Jun 23 19:43:33 2025 A0: -26
  404. Mon Jun 23 19:43:33 2025 A1: 0
  405. Mon Jun 23 19:43:33 2025 A2: 0
  406. Mon Jun 23 19:43:33 2025 A3: 0
  407. Mon Jun 23 19:43:33 2025 A4: 0
  408. Mon Jun 23 19:43:33 2025 A5: 0
  409. Mon Jun 23 19:43:33 2025 A6: 125
  410. Mon Jun 23 19:43:33 2025 skew 1.00, size 1.594e-13, alpha -0.167, combined = 2.918e-14 rroots = 2
  411. Mon Jun 23 19:43:33 2025
  412. Mon Jun 23 19:43:33 2025 commencing linear algebra
  413. Mon Jun 23 19:43:33 2025 using VBITS=256
  414. Mon Jun 23 19:43:33 2025 initialized process (0,0) of 1 x 2 grid
  415. Mon Jun 23 19:43:34 2025 read 22648967 cycles
  416. Mon Jun 23 19:44:03 2025 cycles contain 76542924 unique relations
  417. Mon Jun 23 19:44:54 2025 read 76542924 relations
  418. Mon Jun 23 19:45:08 2025 using 20 quadratic characters above 4294917295
  419. Mon Jun 23 19:45:29 2025 building initial matrix
  420. Mon Jun 23 19:55:18 2025 memory use: 10042.4 MB
  421. Mon Jun 23 19:55:30 2025 read 22648967 cycles
  422. Mon Jun 23 19:55:32 2025 matrix is 22648790 x 22648967 (10668.1 MB) with weight 3058166033 (135.02/col)
  423. Mon Jun 23 19:55:32 2025 sparse part has weight 2547448528 (112.48/col)
  424. Mon Jun 23 19:57:48 2025 filtering completed in 2 passes
  425. Mon Jun 23 19:57:50 2025 matrix is 22647701 x 22647871 (10668.0 MB) with weight 3058123098 (135.03/col)
  426. Mon Jun 23 19:57:50 2025 sparse part has weight 2547430596 (112.48/col)
  427. Mon Jun 23 19:58:33 2025 matrix starts at (0, 0)
  428. Mon Jun 23 19:58:34 2025 matrix is 22647701 x 11323988 (5334.0 MB) with weight 1529070266 (135.03/col)
  429. Mon Jun 23 19:58:34 2025 sparse part has weight 1273715468 (112.48/col)
  430. Mon Jun 23 19:58:34 2025 saving the first 240 matrix rows for later
  431. Mon Jun 23 19:58:35 2025 matrix includes 256 packed rows
  432. Mon Jun 23 19:58:39 2025 matrix is 22647461 x 11323988 (4941.6 MB) with weight 1172172391 (103.51/col)
  433. Mon Jun 23 19:58:39 2025 sparse part has weight 1114216869 (98.39/col)
  434. Mon Jun 23 19:58:39 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  435. Mon Jun 23 19:58:39 2025 selected card has CUDA arch 8.6
  436. Mon Jun 23 19:59:31 2025 commencing Lanczos iteration
  437. Mon Jun 23 19:59:33 2025 memory use: 12431.8 MB
  438. Mon Jun 23 20:00:14 2025 linear algebra at 0.1%, ETA 8h12m
  439. Mon Jun 23 20:01:15 2025 checking every 40000 dimensions, checkpointing every 2760000 dimensions
  440. Tue Jun 24 04:33:24 2025 lanczos halted after 88732 iterations (dim = 22647461)
  441. Tue Jun 24 04:34:34 2025 recovered 36 nontrivial dependencies
  442. Tue Jun 24 04:34:34 2025 BLanczosTime: 31861
  443. Tue Jun 24 04:34:34 2025 elapsed time 08:51:02
  444. Tue Jun 24 10:10:36 2025
  445. Tue Jun 24 10:10:36 2025
  446. Tue Jun 24 10:10:36 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  447. Tue Jun 24 10:10:36 2025 random seeds: e27700a5 3df53f93
  448. Tue Jun 24 10:10:36 2025 Using 16 OpenMP threads
  449. Tue Jun 24 10:10:36 2025 factoring 179846085086017736977109791828114198719583843280666340770323658513580036296264647128981579876100656450962567636464534260891193002628000438665114132841313995620860840156974107050125474405279217404306049451916458587 (213 digits)
  450. Tue Jun 24 10:10:36 2025 no P-1/P+1/ECM available, skipping
  451. Tue Jun 24 10:10:36 2025 commencing number field sieve (213-digit input)
  452. Tue Jun 24 10:10:36 2025 R0: 2000000000000000000000000000000000000000000000
  453. Tue Jun 24 10:10:36 2025 R1: -1
  454. Tue Jun 24 10:10:36 2025 A0: -26
  455. Tue Jun 24 10:10:36 2025 A1: 0
  456. Tue Jun 24 10:10:36 2025 A2: 0
  457. Tue Jun 24 10:10:36 2025 A3: 0
  458. Tue Jun 24 10:10:36 2025 A4: 0
  459. Tue Jun 24 10:10:36 2025 A5: 0
  460. Tue Jun 24 10:10:36 2025 A6: 125
  461. Tue Jun 24 10:10:36 2025 skew 1.00, size 1.594e-13, alpha -0.167, combined = 2.918e-14 rroots = 2
  462. Tue Jun 24 10:10:36 2025
  463. Tue Jun 24 10:10:36 2025 commencing square root phase
  464. Tue Jun 24 10:10:36 2025 reading relations for dependency 1
  465. Tue Jun 24 10:10:41 2025 read 11327409 cycles
  466. Tue Jun 24 10:11:04 2025 cycles contain 38280100 unique relations
  467. Tue Jun 24 10:12:50 2025 read 38280100 relations
  468. Tue Jun 24 10:15:14 2025 multiplying 38280100 relations
  469. Tue Jun 24 10:19:06 2025 multiply complete, coefficients have about 1272.28 million bits
  470. Tue Jun 24 10:19:08 2025 initial square root is modulo 509623
  471. Tue Jun 24 10:28:18 2025 GCD is 1, no factor found
  472. Tue Jun 24 10:28:18 2025 reading relations for dependency 2
  473. Tue Jun 24 10:28:19 2025 read 11321188 cycles
  474. Tue Jun 24 10:28:39 2025 cycles contain 38271176 unique relations
  475. Tue Jun 24 10:30:06 2025 read 38271176 relations
  476. Tue Jun 24 10:32:29 2025 multiplying 38271176 relations
  477. Tue Jun 24 10:36:11 2025 multiply complete, coefficients have about 1271.98 million bits
  478. Tue Jun 24 10:36:13 2025 initial square root is modulo 507901
  479. Tue Jun 24 10:45:09 2025 sqrtTime: 2073
  480. Tue Jun 24 10:45:09 2025 p94 factor: 5372576925202066967253017541100959358836956862314612289741646175385646375403006574990222599179
  481. Tue Jun 24 10:45:09 2025 p119 factor: 33474827366804725673012349827075491452621340983808186815733496512516524843028321278930389791544064997764834126961779953
  482. Tue Jun 24 10:45:09 2025 elapsed time 00:34:33
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