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May 23rd, 2024
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  1. Sat May 4 20:30:31 2024 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sat May 4 20:30:31 2024 random seeds: bc372718 964d7b7e
  3. Sat May 4 20:30:31 2024 Using 16 OpenMP threads
  4. Sat May 4 20:30:31 2024 factoring 39432912811470188816895046715234139410046810664499668834417774128563427403174135110187101120985673252492491313501801457203394799852514243567592078914463798965427416848246354235373167472050237277328507668940016923245777050192286065507373301599967219206230333935701079710543688400843 (281 digits)
  5. Sat May 4 20:30:32 2024 no P-1/P+1/ECM available, skipping
  6. Sat May 4 20:30:32 2024 commencing number field sieve (281-digit input)
  7. Sat May 4 20:30:32 2024 R0: 225057780492951553007631241991693869113914146561
  8. Sat May 4 20:30:32 2024 R1: -1
  9. Sat May 4 20:30:32 2024 A0: -1
  10. Sat May 4 20:30:32 2024 A1: 0
  11. Sat May 4 20:30:32 2024 A2: 0
  12. Sat May 4 20:30:32 2024 A3: 0
  13. Sat May 4 20:30:32 2024 A4: 0
  14. Sat May 4 20:30:32 2024 A5: 0
  15. Sat May 4 20:30:32 2024 A6: 911
  16. Sat May 4 20:30:32 2024 skew 0.42, size 5.038e-14, alpha -0.660, combined = 1.172e-14 rroots = 2
  17. Sat May 4 20:30:32 2024
  18. Sat May 4 20:30:32 2024 commencing relation filtering
  19. Sat May 4 20:30:32 2024 setting target matrix density to 110.0
  20. Sat May 4 20:30:32 2024 estimated available RAM is 128734.6 MB
  21. Sat May 4 20:30:32 2024 commencing duplicate removal, pass 1
  22. Sat May 4 20:38:39 2024 skipped 121945 relations with b > 2^32
  23. Sat May 4 20:38:39 2024 skipped 1 malformed relations
  24. Sat May 4 20:38:39 2024 found 22448742 hash collisions in 636513845 relations
  25. Sat May 4 20:38:47 2024 added 1218850 free relations
  26. Sat May 4 20:38:47 2024 commencing duplicate removal, pass 2
  27. Sat May 4 20:40:52 2024 found 0 duplicates and 637732695 unique relations
  28. Sat May 4 20:40:52 2024 memory use: 2089.5 MB
  29. Sat May 4 20:40:52 2024 reading ideals above 283574272
  30. Sat May 4 20:40:52 2024 commencing singleton removal, initial pass
  31. Sat May 4 20:52:38 2024 memory use: 11024.0 MB
  32. Sat May 4 20:52:38 2024 reading all ideals from disk
  33. Sat May 4 20:52:40 2024 memory use: 17069.3 MB
  34. Sat May 4 20:52:53 2024 commencing in-memory singleton removal
  35. Sat May 4 20:52:59 2024 begin with 637732695 relations and 498460462 unique ideals
  36. Sat May 4 20:53:44 2024 reduce to 506590499 relations and 362021088 ideals in 15 passes
  37. Sat May 4 20:53:44 2024 max relations containing the same ideal: 40
  38. Sat May 4 20:53:53 2024 reading ideals above 720000
  39. Sat May 4 20:53:53 2024 commencing singleton removal, initial pass
  40. Sat May 4 21:11:58 2024 memory use: 11024.0 MB
  41. Sat May 4 21:11:59 2024 reading all ideals from disk
  42. Sat May 4 21:12:02 2024 memory use: 26152.2 MB
  43. Sat May 4 21:12:26 2024 keeping 390118851 ideals with weight <= 200, target excess is 2719043
  44. Sat May 4 21:12:57 2024 commencing in-memory singleton removal
  45. Sat May 4 21:13:06 2024 begin with 506590499 relations and 390118851 unique ideals
  46. Sat May 4 21:13:26 2024 reduce to 506590483 relations and 390118835 ideals in 4 passes
  47. Sat May 4 21:13:26 2024 max relations containing the same ideal: 200
  48. Sat May 4 21:14:48 2024 removing 13871108 relations and 11871108 ideals in 2000000 cliques
  49. Sat May 4 21:14:55 2024 commencing in-memory singleton removal
  50. Sat May 4 21:15:04 2024 begin with 492719375 relations and 390118835 unique ideals
  51. Sat May 4 21:15:37 2024 reduce to 492446709 relations and 377973532 ideals in 7 passes
  52. Sat May 4 21:15:37 2024 max relations containing the same ideal: 200
  53. Sat May 4 21:16:56 2024 removing 10515223 relations and 8515223 ideals in 2000000 cliques
  54. Sat May 4 21:17:03 2024 commencing in-memory singleton removal
  55. Sat May 4 21:17:11 2024 begin with 481931486 relations and 377973532 unique ideals
  56. Sat May 4 21:17:43 2024 reduce to 481756731 relations and 369282747 ideals in 7 passes
  57. Sat May 4 21:17:43 2024 max relations containing the same ideal: 200
  58. Sat May 4 21:19:00 2024 removing 9428572 relations and 7428572 ideals in 2000000 cliques
  59. Sat May 4 21:19:06 2024 commencing in-memory singleton removal
  60. Sat May 4 21:19:14 2024 begin with 472328159 relations and 369282747 unique ideals
  61. Sat May 4 21:19:46 2024 reduce to 472180368 relations and 361705707 ideals in 7 passes
  62. Sat May 4 21:19:46 2024 max relations containing the same ideal: 199
  63. Sat May 4 21:21:01 2024 removing 8800375 relations and 6800375 ideals in 2000000 cliques
  64. Sat May 4 21:21:07 2024 commencing in-memory singleton removal
  65. Sat May 4 21:21:15 2024 begin with 463379993 relations and 361705707 unique ideals
  66. Sat May 4 21:21:46 2024 reduce to 463246725 relations and 354771446 ideals in 7 passes
  67. Sat May 4 21:21:46 2024 max relations containing the same ideal: 197
  68. Sat May 4 21:23:00 2024 removing 8372058 relations and 6372058 ideals in 2000000 cliques
  69. Sat May 4 21:23:06 2024 commencing in-memory singleton removal
  70. Sat May 4 21:23:14 2024 begin with 454874667 relations and 354771446 unique ideals
  71. Sat May 4 21:23:40 2024 reduce to 454750434 relations and 348274569 ideals in 6 passes
  72. Sat May 4 21:23:40 2024 max relations containing the same ideal: 195
  73. Sat May 4 21:24:53 2024 removing 8054202 relations and 6054202 ideals in 2000000 cliques
  74. Sat May 4 21:24:59 2024 commencing in-memory singleton removal
  75. Sat May 4 21:25:07 2024 begin with 446696232 relations and 348274569 unique ideals
  76. Sat May 4 21:25:37 2024 reduce to 446578649 relations and 342102290 ideals in 7 passes
  77. Sat May 4 21:25:37 2024 max relations containing the same ideal: 194
  78. Sat May 4 21:26:48 2024 removing 7805060 relations and 5805060 ideals in 2000000 cliques
  79. Sat May 4 21:26:54 2024 commencing in-memory singleton removal
  80. Sat May 4 21:27:02 2024 begin with 438773589 relations and 342102290 unique ideals
  81. Sat May 4 21:27:27 2024 reduce to 438660173 relations and 336183306 ideals in 6 passes
  82. Sat May 4 21:27:27 2024 max relations containing the same ideal: 192
  83. Sat May 4 21:28:37 2024 removing 7604864 relations and 5604864 ideals in 2000000 cliques
  84. Sat May 4 21:28:43 2024 commencing in-memory singleton removal
  85. Sat May 4 21:28:50 2024 begin with 431055309 relations and 336183306 unique ideals
  86. Sat May 4 21:29:19 2024 reduce to 430944800 relations and 330467453 ideals in 7 passes
  87. Sat May 4 21:29:19 2024 max relations containing the same ideal: 191
  88. Sat May 4 21:30:28 2024 removing 7446124 relations and 5446124 ideals in 2000000 cliques
  89. Sat May 4 21:30:34 2024 commencing in-memory singleton removal
  90. Sat May 4 21:30:41 2024 begin with 423498676 relations and 330467453 unique ideals
  91. Sat May 4 21:31:06 2024 reduce to 423389744 relations and 324911947 ideals in 6 passes
  92. Sat May 4 21:31:06 2024 max relations containing the same ideal: 188
  93. Sat May 4 21:32:14 2024 removing 7311956 relations and 5311956 ideals in 2000000 cliques
  94. Sat May 4 21:32:19 2024 commencing in-memory singleton removal
  95. Sat May 4 21:32:26 2024 begin with 416077788 relations and 324911947 unique ideals
  96. Sat May 4 21:32:51 2024 reduce to 415971535 relations and 319493216 ideals in 6 passes
  97. Sat May 4 21:32:51 2024 max relations containing the same ideal: 188
  98. Sat May 4 21:33:58 2024 removing 7197743 relations and 5197743 ideals in 2000000 cliques
  99. Sat May 4 21:34:03 2024 commencing in-memory singleton removal
  100. Sat May 4 21:34:10 2024 begin with 408773792 relations and 319493216 unique ideals
  101. Sat May 4 21:34:34 2024 reduce to 408669262 relations and 314190396 ideals in 6 passes
  102. Sat May 4 21:34:34 2024 max relations containing the same ideal: 185
  103. Sat May 4 21:35:40 2024 removing 7101727 relations and 5101727 ideals in 2000000 cliques
  104. Sat May 4 21:35:46 2024 commencing in-memory singleton removal
  105. Sat May 4 21:35:52 2024 begin with 401567535 relations and 314190396 unique ideals
  106. Sat May 4 21:36:16 2024 reduce to 401463052 relations and 308983634 ideals in 6 passes
  107. Sat May 4 21:36:16 2024 max relations containing the same ideal: 184
  108. Sat May 4 21:37:21 2024 removing 7015997 relations and 5015997 ideals in 2000000 cliques
  109. Sat May 4 21:37:26 2024 commencing in-memory singleton removal
  110. Sat May 4 21:37:33 2024 begin with 394447055 relations and 308983634 unique ideals
  111. Sat May 4 21:37:55 2024 reduce to 394343015 relations and 303863084 ideals in 6 passes
  112. Sat May 4 21:37:55 2024 max relations containing the same ideal: 182
  113. Sat May 4 21:39:00 2024 removing 6938617 relations and 4938617 ideals in 2000000 cliques
  114. Sat May 4 21:39:05 2024 commencing in-memory singleton removal
  115. Sat May 4 21:39:11 2024 begin with 387404398 relations and 303863084 unique ideals
  116. Sat May 4 21:39:34 2024 reduce to 387301646 relations and 298821147 ideals in 6 passes
  117. Sat May 4 21:39:34 2024 max relations containing the same ideal: 181
  118. Sat May 4 21:40:37 2024 removing 6879908 relations and 4879908 ideals in 2000000 cliques
  119. Sat May 4 21:40:42 2024 commencing in-memory singleton removal
  120. Sat May 4 21:40:49 2024 begin with 380421738 relations and 298821147 unique ideals
  121. Sat May 4 21:41:10 2024 reduce to 380319441 relations and 293838356 ideals in 6 passes
  122. Sat May 4 21:41:10 2024 max relations containing the same ideal: 178
  123. Sat May 4 21:42:12 2024 removing 6819562 relations and 4819562 ideals in 2000000 cliques
  124. Sat May 4 21:42:17 2024 commencing in-memory singleton removal
  125. Sat May 4 21:42:24 2024 begin with 373499879 relations and 293838356 unique ideals
  126. Sat May 4 21:42:45 2024 reduce to 373397368 relations and 288915670 ideals in 6 passes
  127. Sat May 4 21:42:45 2024 max relations containing the same ideal: 176
  128. Sat May 4 21:43:46 2024 removing 6771550 relations and 4771550 ideals in 2000000 cliques
  129. Sat May 4 21:43:51 2024 commencing in-memory singleton removal
  130. Sat May 4 21:43:57 2024 begin with 366625818 relations and 288915670 unique ideals
  131. Sat May 4 21:44:18 2024 reduce to 366522150 relations and 284039805 ideals in 6 passes
  132. Sat May 4 21:44:18 2024 max relations containing the same ideal: 174
  133. Sat May 4 21:45:18 2024 removing 6726214 relations and 4726214 ideals in 2000000 cliques
  134. Sat May 4 21:45:23 2024 commencing in-memory singleton removal
  135. Sat May 4 21:45:29 2024 begin with 359795936 relations and 284039805 unique ideals
  136. Sat May 4 21:45:50 2024 reduce to 359693061 relations and 279210118 ideals in 6 passes
  137. Sat May 4 21:45:50 2024 max relations containing the same ideal: 173
  138. Sat May 4 21:46:49 2024 removing 6686616 relations and 4686616 ideals in 2000000 cliques
  139. Sat May 4 21:46:54 2024 commencing in-memory singleton removal
  140. Sat May 4 21:47:00 2024 begin with 353006445 relations and 279210118 unique ideals
  141. Sat May 4 21:47:20 2024 reduce to 352901731 relations and 274418076 ideals in 6 passes
  142. Sat May 4 21:47:20 2024 max relations containing the same ideal: 171
  143. Sat May 4 21:48:18 2024 removing 6650269 relations and 4650269 ideals in 2000000 cliques
  144. Sat May 4 21:48:23 2024 commencing in-memory singleton removal
  145. Sat May 4 21:48:29 2024 begin with 346251462 relations and 274418076 unique ideals
  146. Sat May 4 21:48:49 2024 reduce to 346146332 relations and 269661958 ideals in 6 passes
  147. Sat May 4 21:48:49 2024 max relations containing the same ideal: 169
  148. Sat May 4 21:49:46 2024 removing 6623301 relations and 4623301 ideals in 2000000 cliques
  149. Sat May 4 21:49:51 2024 commencing in-memory singleton removal
  150. Sat May 4 21:49:56 2024 begin with 339523031 relations and 269661958 unique ideals
  151. Sat May 4 21:50:16 2024 reduce to 339417276 relations and 264932216 ideals in 6 passes
  152. Sat May 4 21:50:16 2024 max relations containing the same ideal: 166
  153. Sat May 4 21:51:12 2024 removing 6593993 relations and 4593993 ideals in 2000000 cliques
  154. Sat May 4 21:51:16 2024 commencing in-memory singleton removal
  155. Sat May 4 21:51:22 2024 begin with 332823283 relations and 264932216 unique ideals
  156. Sat May 4 21:51:41 2024 reduce to 332715249 relations and 260229440 ideals in 6 passes
  157. Sat May 4 21:51:41 2024 max relations containing the same ideal: 163
  158. Sat May 4 21:52:36 2024 removing 6569778 relations and 4569778 ideals in 2000000 cliques
  159. Sat May 4 21:52:40 2024 commencing in-memory singleton removal
  160. Sat May 4 21:52:46 2024 begin with 326145471 relations and 260229440 unique ideals
  161. Sat May 4 21:53:04 2024 reduce to 326036857 relations and 255550269 ideals in 6 passes
  162. Sat May 4 21:53:04 2024 max relations containing the same ideal: 160
  163. Sat May 4 21:53:59 2024 removing 6547902 relations and 4547902 ideals in 2000000 cliques
  164. Sat May 4 21:54:03 2024 commencing in-memory singleton removal
  165. Sat May 4 21:54:09 2024 begin with 319488955 relations and 255550269 unique ideals
  166. Sat May 4 21:54:27 2024 reduce to 319378221 relations and 250890838 ideals in 6 passes
  167. Sat May 4 21:54:27 2024 max relations containing the same ideal: 158
  168. Sat May 4 21:55:21 2024 removing 6531599 relations and 4531599 ideals in 2000000 cliques
  169. Sat May 4 21:55:25 2024 commencing in-memory singleton removal
  170. Sat May 4 21:55:30 2024 begin with 312846622 relations and 250890838 unique ideals
  171. Sat May 4 21:55:51 2024 reduce to 312735757 relations and 246247560 ideals in 7 passes
  172. Sat May 4 21:55:51 2024 max relations containing the same ideal: 157
  173. Sat May 4 21:56:43 2024 removing 6515078 relations and 4515078 ideals in 2000000 cliques
  174. Sat May 4 21:56:48 2024 commencing in-memory singleton removal
  175. Sat May 4 21:56:53 2024 begin with 306220679 relations and 246247560 unique ideals
  176. Sat May 4 21:57:08 2024 reduce to 306107303 relations and 241618193 ideals in 5 passes
  177. Sat May 4 21:57:08 2024 max relations containing the same ideal: 155
  178. Sat May 4 21:57:59 2024 removing 6506849 relations and 4506849 ideals in 2000000 cliques
  179. Sat May 4 21:58:04 2024 commencing in-memory singleton removal
  180. Sat May 4 21:58:08 2024 begin with 299600454 relations and 241618193 unique ideals
  181. Sat May 4 21:58:26 2024 reduce to 299485113 relations and 236995073 ideals in 6 passes
  182. Sat May 4 21:58:26 2024 max relations containing the same ideal: 152
  183. Sat May 4 21:59:16 2024 removing 6495680 relations and 4495680 ideals in 2000000 cliques
  184. Sat May 4 21:59:20 2024 commencing in-memory singleton removal
  185. Sat May 4 21:59:25 2024 begin with 292989433 relations and 236995073 unique ideals
  186. Sat May 4 21:59:42 2024 reduce to 292871303 relations and 232380284 ideals in 6 passes
  187. Sat May 4 21:59:42 2024 max relations containing the same ideal: 152
  188. Sat May 4 22:00:32 2024 removing 6491399 relations and 4491399 ideals in 2000000 cliques
  189. Sat May 4 22:00:36 2024 commencing in-memory singleton removal
  190. Sat May 4 22:00:41 2024 begin with 286379904 relations and 232380284 unique ideals
  191. Sat May 4 22:01:00 2024 reduce to 286259968 relations and 227767866 ideals in 7 passes
  192. Sat May 4 22:01:00 2024 max relations containing the same ideal: 150
  193. Sat May 4 22:01:49 2024 removing 6481200 relations and 4481200 ideals in 2000000 cliques
  194. Sat May 4 22:01:53 2024 commencing in-memory singleton removal
  195. Sat May 4 22:01:57 2024 begin with 279778768 relations and 227767866 unique ideals
  196. Sat May 4 22:02:11 2024 reduce to 279656772 relations and 223163604 ideals in 5 passes
  197. Sat May 4 22:02:11 2024 max relations containing the same ideal: 147
  198. Sat May 4 22:02:58 2024 removing 6482053 relations and 4482053 ideals in 2000000 cliques
  199. Sat May 4 22:03:02 2024 commencing in-memory singleton removal
  200. Sat May 4 22:03:06 2024 begin with 273174719 relations and 223163604 unique ideals
  201. Sat May 4 22:03:22 2024 reduce to 273050374 relations and 218556145 ideals in 6 passes
  202. Sat May 4 22:03:22 2024 max relations containing the same ideal: 146
  203. Sat May 4 22:04:08 2024 removing 6482889 relations and 4482889 ideals in 2000000 cliques
  204. Sat May 4 22:04:12 2024 commencing in-memory singleton removal
  205. Sat May 4 22:04:16 2024 begin with 266567485 relations and 218556145 unique ideals
  206. Sat May 4 22:04:31 2024 reduce to 266439916 relations and 213944503 ideals in 6 passes
  207. Sat May 4 22:04:31 2024 max relations containing the same ideal: 142
  208. Sat May 4 22:05:16 2024 removing 6487427 relations and 4487427 ideals in 2000000 cliques
  209. Sat May 4 22:05:20 2024 commencing in-memory singleton removal
  210. Sat May 4 22:05:24 2024 begin with 259952489 relations and 213944503 unique ideals
  211. Sat May 4 22:05:39 2024 reduce to 259822691 relations and 209325995 ideals in 6 passes
  212. Sat May 4 22:05:39 2024 max relations containing the same ideal: 139
  213. Sat May 4 22:06:23 2024 removing 6488779 relations and 4488779 ideals in 2000000 cliques
  214. Sat May 4 22:06:27 2024 commencing in-memory singleton removal
  215. Sat May 4 22:06:31 2024 begin with 253333912 relations and 209325995 unique ideals
  216. Sat May 4 22:06:47 2024 reduce to 253200625 relations and 204702624 ideals in 7 passes
  217. Sat May 4 22:06:47 2024 max relations containing the same ideal: 138
  218. Sat May 4 22:07:31 2024 removing 6496872 relations and 4496872 ideals in 2000000 cliques
  219. Sat May 4 22:07:35 2024 commencing in-memory singleton removal
  220. Sat May 4 22:07:39 2024 begin with 246703753 relations and 204702624 unique ideals
  221. Sat May 4 22:07:52 2024 reduce to 246566655 relations and 200067306 ideals in 6 passes
  222. Sat May 4 22:07:52 2024 max relations containing the same ideal: 136
  223. Sat May 4 22:08:35 2024 removing 6507266 relations and 4507266 ideals in 2000000 cliques
  224. Sat May 4 22:08:39 2024 commencing in-memory singleton removal
  225. Sat May 4 22:08:42 2024 begin with 240059389 relations and 200067306 unique ideals
  226. Sat May 4 22:08:56 2024 reduce to 239919482 relations and 195418750 ideals in 6 passes
  227. Sat May 4 22:08:56 2024 max relations containing the same ideal: 133
  228. Sat May 4 22:09:37 2024 removing 6517136 relations and 4517136 ideals in 2000000 cliques
  229. Sat May 4 22:09:41 2024 commencing in-memory singleton removal
  230. Sat May 4 22:09:45 2024 begin with 233402346 relations and 195418750 unique ideals
  231. Sat May 4 22:09:58 2024 reduce to 233258231 relations and 190755989 ideals in 6 passes
  232. Sat May 4 22:09:58 2024 max relations containing the same ideal: 130
  233. Sat May 4 22:10:38 2024 removing 6528955 relations and 4528955 ideals in 2000000 cliques
  234. Sat May 4 22:10:41 2024 commencing in-memory singleton removal
  235. Sat May 4 22:10:45 2024 begin with 226729276 relations and 190755989 unique ideals
  236. Sat May 4 22:10:58 2024 reduce to 226580925 relations and 186077074 ideals in 6 passes
  237. Sat May 4 22:10:58 2024 max relations containing the same ideal: 128
  238. Sat May 4 22:11:37 2024 removing 6549233 relations and 4549233 ideals in 2000000 cliques
  239. Sat May 4 22:11:41 2024 commencing in-memory singleton removal
  240. Sat May 4 22:11:44 2024 begin with 220031692 relations and 186077074 unique ideals
  241. Sat May 4 22:11:56 2024 reduce to 219878295 relations and 181372781 ideals in 6 passes
  242. Sat May 4 22:11:56 2024 max relations containing the same ideal: 124
  243. Sat May 4 22:12:35 2024 removing 6566979 relations and 4566979 ideals in 2000000 cliques
  244. Sat May 4 22:12:39 2024 commencing in-memory singleton removal
  245. Sat May 4 22:12:42 2024 begin with 213311316 relations and 181372781 unique ideals
  246. Sat May 4 22:12:54 2024 reduce to 213152162 relations and 176644940 ideals in 6 passes
  247. Sat May 4 22:12:54 2024 max relations containing the same ideal: 124
  248. Sat May 4 22:13:31 2024 removing 6589860 relations and 4589860 ideals in 2000000 cliques
  249. Sat May 4 22:13:34 2024 commencing in-memory singleton removal
  250. Sat May 4 22:13:38 2024 begin with 206562302 relations and 176644940 unique ideals
  251. Sat May 4 22:13:49 2024 reduce to 206398389 relations and 171889300 ideals in 6 passes
  252. Sat May 4 22:13:49 2024 max relations containing the same ideal: 121
  253. Sat May 4 22:14:26 2024 removing 6617159 relations and 4617159 ideals in 2000000 cliques
  254. Sat May 4 22:14:29 2024 commencing in-memory singleton removal
  255. Sat May 4 22:14:32 2024 begin with 199781230 relations and 171889300 unique ideals
  256. Sat May 4 22:14:43 2024 reduce to 199611149 relations and 167100135 ideals in 6 passes
  257. Sat May 4 22:14:43 2024 max relations containing the same ideal: 118
  258. Sat May 4 22:15:18 2024 removing 6646463 relations and 4646463 ideals in 2000000 cliques
  259. Sat May 4 22:15:22 2024 commencing in-memory singleton removal
  260. Sat May 4 22:15:25 2024 begin with 192964686 relations and 167100135 unique ideals
  261. Sat May 4 22:15:37 2024 reduce to 192786984 relations and 162273957 ideals in 7 passes
  262. Sat May 4 22:15:37 2024 max relations containing the same ideal: 117
  263. Sat May 4 22:16:11 2024 removing 6682577 relations and 4682577 ideals in 2000000 cliques
  264. Sat May 4 22:16:15 2024 commencing in-memory singleton removal
  265. Sat May 4 22:16:18 2024 begin with 186104407 relations and 162273957 unique ideals
  266. Sat May 4 22:16:28 2024 reduce to 185919748 relations and 157404609 ideals in 6 passes
  267. Sat May 4 22:16:28 2024 max relations containing the same ideal: 114
  268. Sat May 4 22:17:01 2024 removing 6720784 relations and 4720784 ideals in 2000000 cliques
  269. Sat May 4 22:17:04 2024 commencing in-memory singleton removal
  270. Sat May 4 22:17:07 2024 begin with 179198964 relations and 157404609 unique ideals
  271. Sat May 4 22:17:17 2024 reduce to 179005807 relations and 152488405 ideals in 6 passes
  272. Sat May 4 22:17:17 2024 max relations containing the same ideal: 111
  273. Sat May 4 22:17:50 2024 removing 6766609 relations and 4766609 ideals in 2000000 cliques
  274. Sat May 4 22:17:53 2024 commencing in-memory singleton removal
  275. Sat May 4 22:17:55 2024 begin with 172239198 relations and 152488405 unique ideals
  276. Sat May 4 22:18:05 2024 reduce to 172036031 relations and 147516244 ideals in 6 passes
  277. Sat May 4 22:18:05 2024 max relations containing the same ideal: 106
  278. Sat May 4 22:18:37 2024 removing 6817913 relations and 4817913 ideals in 2000000 cliques
  279. Sat May 4 22:18:39 2024 commencing in-memory singleton removal
  280. Sat May 4 22:18:42 2024 begin with 165218118 relations and 147516244 unique ideals
  281. Sat May 4 22:18:51 2024 reduce to 165005797 relations and 142483405 ideals in 6 passes
  282. Sat May 4 22:18:51 2024 max relations containing the same ideal: 104
  283. Sat May 4 22:19:22 2024 removing 6870593 relations and 4870593 ideals in 2000000 cliques
  284. Sat May 4 22:19:24 2024 commencing in-memory singleton removal
  285. Sat May 4 22:19:27 2024 begin with 158135204 relations and 142483405 unique ideals
  286. Sat May 4 22:19:36 2024 reduce to 157911743 relations and 137386549 ideals in 6 passes
  287. Sat May 4 22:19:36 2024 max relations containing the same ideal: 102
  288. Sat May 4 22:20:05 2024 removing 6932197 relations and 4932197 ideals in 2000000 cliques
  289. Sat May 4 22:20:08 2024 commencing in-memory singleton removal
  290. Sat May 4 22:20:10 2024 begin with 150979546 relations and 137386549 unique ideals
  291. Sat May 4 22:20:20 2024 reduce to 150741499 relations and 132213382 ideals in 7 passes
  292. Sat May 4 22:20:20 2024 max relations containing the same ideal: 97
  293. Sat May 4 22:20:48 2024 removing 7000448 relations and 5000448 ideals in 2000000 cliques
  294. Sat May 4 22:20:50 2024 commencing in-memory singleton removal
  295. Sat May 4 22:20:53 2024 begin with 143741051 relations and 132213382 unique ideals
  296. Sat May 4 22:21:02 2024 reduce to 143489906 relations and 126958472 ideals in 7 passes
  297. Sat May 4 22:21:02 2024 max relations containing the same ideal: 93
  298. Sat May 4 22:21:29 2024 removing 7077489 relations and 5077489 ideals in 2000000 cliques
  299. Sat May 4 22:21:31 2024 commencing in-memory singleton removal
  300. Sat May 4 22:21:34 2024 begin with 136412417 relations and 126958472 unique ideals
  301. Sat May 4 22:21:42 2024 reduce to 136141337 relations and 121606267 ideals in 7 passes
  302. Sat May 4 22:21:42 2024 max relations containing the same ideal: 91
  303. Sat May 4 22:22:08 2024 removing 7164883 relations and 5164883 ideals in 2000000 cliques
  304. Sat May 4 22:22:11 2024 commencing in-memory singleton removal
  305. Sat May 4 22:22:13 2024 begin with 128976454 relations and 121606267 unique ideals
  306. Sat May 4 22:22:22 2024 reduce to 128686078 relations and 116146966 ideals in 8 passes
  307. Sat May 4 22:22:22 2024 max relations containing the same ideal: 89
  308. Sat May 4 22:22:47 2024 removing 7259724 relations and 5259724 ideals in 2000000 cliques
  309. Sat May 4 22:22:49 2024 commencing in-memory singleton removal
  310. Sat May 4 22:22:51 2024 begin with 121426354 relations and 116146966 unique ideals
  311. Sat May 4 22:22:58 2024 reduce to 121110413 relations and 110566923 ideals in 7 passes
  312. Sat May 4 22:22:58 2024 max relations containing the same ideal: 85
  313. Sat May 4 22:23:22 2024 removing 7370310 relations and 5370310 ideals in 2000000 cliques
  314. Sat May 4 22:23:24 2024 commencing in-memory singleton removal
  315. Sat May 4 22:23:26 2024 begin with 113740103 relations and 110566923 unique ideals
  316. Sat May 4 22:23:33 2024 reduce to 113395625 relations and 104847134 ideals in 7 passes
  317. Sat May 4 22:23:33 2024 max relations containing the same ideal: 82
  318. Sat May 4 22:23:55 2024 removing 7499035 relations and 5499035 ideals in 2000000 cliques
  319. Sat May 4 22:23:57 2024 commencing in-memory singleton removal
  320. Sat May 4 22:23:59 2024 begin with 105896590 relations and 104847134 unique ideals
  321. Sat May 4 22:24:05 2024 reduce to 105514641 relations and 98960250 ideals in 7 passes
  322. Sat May 4 22:24:05 2024 max relations containing the same ideal: 80
  323. Sat May 4 22:24:26 2024 removing 7646063 relations and 5646063 ideals in 2000000 cliques
  324. Sat May 4 22:24:29 2024 commencing in-memory singleton removal
  325. Sat May 4 22:24:30 2024 begin with 97868578 relations and 98960250 unique ideals
  326. Sat May 4 22:24:36 2024 reduce to 97441826 relations and 92880624 ideals in 7 passes
  327. Sat May 4 22:24:36 2024 max relations containing the same ideal: 76
  328. Sat May 4 22:24:56 2024 removing 5864576 relations and 4457464 ideals in 1407112 cliques
  329. Sat May 4 22:24:57 2024 commencing in-memory singleton removal
  330. Sat May 4 22:24:59 2024 begin with 91577250 relations and 92880624 unique ideals
  331. Sat May 4 22:25:04 2024 reduce to 91310651 relations and 88153342 ideals in 7 passes
  332. Sat May 4 22:25:04 2024 max relations containing the same ideal: 75
  333. Sat May 4 22:25:30 2024 relations with 0 large ideals: 104083
  334. Sat May 4 22:25:30 2024 relations with 1 large ideals: 55140
  335. Sat May 4 22:25:30 2024 relations with 2 large ideals: 690926
  336. Sat May 4 22:25:30 2024 relations with 3 large ideals: 3931497
  337. Sat May 4 22:25:30 2024 relations with 4 large ideals: 11934850
  338. Sat May 4 22:25:30 2024 relations with 5 large ideals: 21467088
  339. Sat May 4 22:25:30 2024 relations with 6 large ideals: 24143918
  340. Sat May 4 22:25:30 2024 relations with 7+ large ideals: 28983149
  341. Sat May 4 22:25:30 2024 commencing 2-way merge
  342. Sat May 4 22:25:59 2024 reduce to 56906550 relation sets and 53749241 unique ideals
  343. Sat May 4 22:25:59 2024 commencing full merge
  344. Sat May 4 22:37:50 2024 memory use: 6941.5 MB
  345. Sat May 4 22:37:54 2024 found 26709908 cycles, need 26325441
  346. Sat May 4 22:37:59 2024 weight of 26325441 cycles is about 2896436729 (110.02/cycle)
  347. Sat May 4 22:37:59 2024 distribution of cycle lengths:
  348. Sat May 4 22:37:59 2024 1 relations: 2043770
  349. Sat May 4 22:37:59 2024 2 relations: 1940450
  350. Sat May 4 22:37:59 2024 3 relations: 2003111
  351. Sat May 4 22:37:59 2024 4 relations: 2001835
  352. Sat May 4 22:37:59 2024 5 relations: 2037968
  353. Sat May 4 22:37:59 2024 6 relations: 2040588
  354. Sat May 4 22:37:59 2024 7 relations: 1987371
  355. Sat May 4 22:37:59 2024 8 relations: 1896600
  356. Sat May 4 22:37:59 2024 9 relations: 1757999
  357. Sat May 4 22:37:59 2024 10+ relations: 8615749
  358. Sat May 4 22:37:59 2024 heaviest cycle: 26 relations
  359. Sat May 4 22:38:05 2024 commencing cycle optimization
  360. Sat May 4 22:38:40 2024 start with 201945074 relations
  361. Sat May 4 22:42:22 2024 pruned 7730433 relations
  362. Sat May 4 22:42:23 2024 memory use: 5800.5 MB
  363. Sat May 4 22:42:23 2024 distribution of cycle lengths:
  364. Sat May 4 22:42:23 2024 1 relations: 2043770
  365. Sat May 4 22:42:23 2024 2 relations: 1982763
  366. Sat May 4 22:42:23 2024 3 relations: 2077094
  367. Sat May 4 22:42:23 2024 4 relations: 2075590
  368. Sat May 4 22:42:23 2024 5 relations: 2130430
  369. Sat May 4 22:42:23 2024 6 relations: 2127375
  370. Sat May 4 22:42:23 2024 7 relations: 2081716
  371. Sat May 4 22:42:23 2024 8 relations: 1976537
  372. Sat May 4 22:42:23 2024 9 relations: 1826143
  373. Sat May 4 22:42:23 2024 10+ relations: 8004023
  374. Sat May 4 22:42:23 2024 heaviest cycle: 25 relations
  375. Sat May 4 22:42:51 2024 RelProcTime: 7939
  376. Sat May 4 22:42:51 2024 elapsed time 02:12:20
  377. Sat May 4 22:50:25 2024
  378. Sat May 4 22:50:25 2024
  379. Sat May 4 22:50:25 2024 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  380. Sat May 4 22:50:25 2024 random seeds: 09f4eebd ba40f17b
  381. Sat May 4 22:50:25 2024 MPI process 0 of 2
  382. Sat May 4 22:50:25 2024 Using 8 OpenMP threads
  383. Sat May 4 22:50:25 2024 factoring 39432912811470188816895046715234139410046810664499668834417774128563427403174135110187101120985673252492491313501801457203394799852514243567592078914463798965427416848246354235373167472050237277328507668940016923245777050192286065507373301599967219206230333935701079710543688400843 (281 digits)
  384. Sat May 4 22:50:26 2024 no P-1/P+1/ECM available, skipping
  385. Sat May 4 22:50:26 2024 commencing number field sieve (281-digit input)
  386. Sat May 4 22:50:26 2024 R0: 225057780492951553007631241991693869113914146561
  387. Sat May 4 22:50:26 2024 R1: -1
  388. Sat May 4 22:50:26 2024 A0: -1
  389. Sat May 4 22:50:26 2024 A1: 0
  390. Sat May 4 22:50:26 2024 A2: 0
  391. Sat May 4 22:50:26 2024 A3: 0
  392. Sat May 4 22:50:26 2024 A4: 0
  393. Sat May 4 22:50:26 2024 A5: 0
  394. Sat May 4 22:50:26 2024 A6: 911
  395. Sat May 4 22:50:26 2024 skew 0.42, size 5.038e-14, alpha -0.660, combined = 1.172e-14 rroots = 2
  396. Sat May 4 22:50:26 2024
  397. Sat May 4 22:50:26 2024 commencing linear algebra
  398. Sat May 4 22:50:26 2024 using VBITS=256
  399. Sat May 4 22:50:26 2024 initialized process (0,0) of 1 x 2 grid
  400. Sat May 4 22:50:27 2024 read 26325441 cycles
  401. Sat May 4 22:51:00 2024 cycles contain 89588352 unique relations
  402. Sat May 4 22:52:22 2024 read 89588352 relations
  403. Sat May 4 22:52:41 2024 using 20 quadratic characters above 4294917295
  404. Sat May 4 22:53:10 2024 building initial matrix
  405. Sat May 4 23:04:32 2024 memory use: 11988.6 MB
  406. Sat May 4 23:04:44 2024 read 26325441 cycles
  407. Sat May 4 23:04:47 2024 matrix is 26325259 x 26325441 (11525.0 MB) with weight 3405039622 (129.34/col)
  408. Sat May 4 23:04:47 2024 sparse part has weight 2731629235 (103.76/col)
  409. Sat May 4 23:07:25 2024 filtering completed in 2 passes
  410. Sat May 4 23:07:28 2024 matrix is 26322626 x 26322804 (11524.7 MB) with weight 3404931421 (129.35/col)
  411. Sat May 4 23:07:28 2024 sparse part has weight 2731589162 (103.77/col)
  412. Sat May 4 23:08:15 2024 matrix starts at (0, 0)
  413. Sat May 4 23:08:16 2024 matrix is 26322626 x 13161397 (5762.4 MB) with weight 1702475751 (129.35/col)
  414. Sat May 4 23:08:16 2024 sparse part has weight 1365794715 (103.77/col)
  415. Sat May 4 23:08:16 2024 saving the first 240 matrix rows for later
  416. Sat May 4 23:08:18 2024 matrix includes 256 packed rows
  417. Sat May 4 23:08:23 2024 matrix is 26322386 x 13161397 (5402.9 MB) with weight 1261698183 (95.86/col)
  418. Sat May 4 23:08:23 2024 sparse part has weight 1205767107 (91.61/col)
  419. Sat May 4 23:08:23 2024 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  420. Sat May 4 23:08:23 2024 selected card has CUDA arch 8.6
  421. Sat May 4 23:09:19 2024 commencing Lanczos iteration
  422. Sat May 4 23:09:21 2024 memory use: 13768.1 MB
  423. Sat May 4 23:10:09 2024 linear algebra at 0.1%, ETA 11h12m
  424. Sat May 4 23:11:20 2024 checking every 30000 dimensions, checkpointing every 2370000 dimensions
  425. Sun May 5 10:43:07 2024 lanczos halted after 103130 iterations (dim = 26322384)
  426. Sun May 5 10:44:18 2024 recovered 34 nontrivial dependencies
  427. Sun May 5 10:44:18 2024 BLanczosTime: 42832
  428. Sun May 5 10:44:18 2024 elapsed time 11:53:53
  429. Sun May 5 10:44:18 2024
  430. Sun May 5 10:44:18 2024
  431. Sun May 5 10:44:18 2024 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  432. Sun May 5 10:44:18 2024 random seeds: a2ed3b17 45527b9b
  433. Sun May 5 10:44:18 2024 Using 16 OpenMP threads
  434. Sun May 5 10:44:18 2024 factoring 39432912811470188816895046715234139410046810664499668834417774128563427403174135110187101120985673252492491313501801457203394799852514243567592078914463798965427416848246354235373167472050237277328507668940016923245777050192286065507373301599967219206230333935701079710543688400843 (281 digits)
  435. Sun May 5 10:44:19 2024 no P-1/P+1/ECM available, skipping
  436. Sun May 5 10:44:19 2024 commencing number field sieve (281-digit input)
  437. Sun May 5 10:44:19 2024 R0: 225057780492951553007631241991693869113914146561
  438. Sun May 5 10:44:19 2024 R1: -1
  439. Sun May 5 10:44:19 2024 A0: -1
  440. Sun May 5 10:44:19 2024 A1: 0
  441. Sun May 5 10:44:19 2024 A2: 0
  442. Sun May 5 10:44:19 2024 A3: 0
  443. Sun May 5 10:44:19 2024 A4: 0
  444. Sun May 5 10:44:19 2024 A5: 0
  445. Sun May 5 10:44:19 2024 A6: 911
  446. Sun May 5 10:44:19 2024 skew 0.42, size 5.038e-14, alpha -0.660, combined = 1.172e-14 rroots = 2
  447. Sun May 5 10:44:19 2024
  448. Sun May 5 10:44:19 2024 commencing square root phase
  449. Sun May 5 10:44:19 2024 reading relations for dependency 1
  450. Sun May 5 10:44:21 2024 read 13161540 cycles
  451. Sun May 5 10:44:38 2024 cycles contain 44797670 unique relations
  452. Sun May 5 10:45:34 2024 read 44797670 relations
  453. Sun May 5 10:47:42 2024 multiplying 44797670 relations
  454. Sun May 5 10:52:09 2024 multiply complete, coefficients have about 1624.50 million bits
  455. Sun May 5 10:52:11 2024 initial square root is modulo 19366687
  456. Sun May 5 10:59:11 2024 sqrtTime: 892
  457. Sun May 5 10:59:11 2024 p76 factor: 3179824315624093821808703004269213700177553981202405489937253832145602498579
  458. Sun May 5 10:59:11 2024 p206 factor: 12400972159913438081710920772046295674160670916464138840793918749986329315737024633939389578923598541992437907883056420736362875187066534785870366786662642429658954694874045872281614577360084509922497575017
  459. Sun May 5 10:59:11 2024 elapsed time 00:14:53
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