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Jul 9th, 2025
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  1. Tue Jul 8 16:03:05 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Jul 8 16:03:05 2025 random seeds: f5b8d6c7 378924c3
  3. Tue Jul 8 16:03:05 2025 Using 16 OpenMP threads
  4. Tue Jul 8 16:03:05 2025 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (263 digits)
  5. Tue Jul 8 16:03:06 2025 no P-1/P+1/ECM available, skipping
  6. Tue Jul 8 16:03:06 2025 commencing number field sieve (263-digit input)
  7. Tue Jul 8 16:03:06 2025 R0: 100000000000000000000000000000000000000000000
  8. Tue Jul 8 16:03:06 2025 R1: -1
  9. Tue Jul 8 16:03:06 2025 A0: 1730
  10. Tue Jul 8 16:03:06 2025 A1: 0
  11. Tue Jul 8 16:03:06 2025 A2: 0
  12. Tue Jul 8 16:03:06 2025 A3: 0
  13. Tue Jul 8 16:03:06 2025 A4: 0
  14. Tue Jul 8 16:03:06 2025 A5: 0
  15. Tue Jul 8 16:03:06 2025 A6: 7
  16. Tue Jul 8 16:03:06 2025 skew 1.00, size 2.613e-13, alpha 0.676, combined = 4.094e-14 rroots = 0
  17. Tue Jul 8 16:03:06 2025
  18. Tue Jul 8 16:03:06 2025 commencing relation filtering
  19. Tue Jul 8 16:03:06 2025 setting target matrix density to 120.0
  20. Tue Jul 8 16:03:06 2025 estimated available RAM is 128734.6 MB
  21. Tue Jul 8 16:03:06 2025 commencing duplicate removal, pass 1
  22. Tue Jul 8 16:04:47 2025 error -1 reading relation 196887547
  23. Tue Jul 8 16:06:52 2025 error -15 reading relation 426359777
  24. Tue Jul 8 16:09:12 2025 skipped 688 relations with b > 2^32
  25. Tue Jul 8 16:09:12 2025 skipped 3 malformed relations
  26. Tue Jul 8 16:09:12 2025 found 22635820 hash collisions in 638968842 relations
  27. Tue Jul 8 16:09:19 2025 added 1220896 free relations
  28. Tue Jul 8 16:09:19 2025 commencing duplicate removal, pass 2
  29. Tue Jul 8 16:11:28 2025 found 0 duplicates and 640189738 unique relations
  30. Tue Jul 8 16:11:28 2025 memory use: 2089.5 MB
  31. Tue Jul 8 16:11:28 2025 reading ideals above 273743872
  32. Tue Jul 8 16:11:29 2025 commencing singleton removal, initial pass
  33. Tue Jul 8 16:20:14 2025 memory use: 11024.0 MB
  34. Tue Jul 8 16:20:15 2025 reading all ideals from disk
  35. Tue Jul 8 16:20:19 2025 memory use: 16798.8 MB
  36. Tue Jul 8 16:20:34 2025 commencing in-memory singleton removal
  37. Tue Jul 8 16:20:39 2025 begin with 640189738 relations and 485181634 unique ideals
  38. Tue Jul 8 16:21:13 2025 reduce to 510810361 relations and 350624768 ideals in 14 passes
  39. Tue Jul 8 16:21:13 2025 max relations containing the same ideal: 39
  40. Tue Jul 8 16:21:21 2025 reading ideals above 720000
  41. Tue Jul 8 16:21:22 2025 commencing singleton removal, initial pass
  42. Tue Jul 8 16:36:44 2025 memory use: 11024.0 MB
  43. Tue Jul 8 16:36:45 2025 reading all ideals from disk
  44. Tue Jul 8 16:36:52 2025 memory use: 25469.5 MB
  45. Tue Jul 8 16:37:45 2025 keeping 377864850 ideals with weight <= 200, target excess is 2575925
  46. Tue Jul 8 16:39:16 2025 commencing in-memory singleton removal
  47. Tue Jul 8 16:39:26 2025 begin with 510810361 relations and 377864850 unique ideals
  48. Tue Jul 8 16:39:36 2025 reduce to 510810361 relations and 377864850 ideals in 1 passes
  49. Tue Jul 8 16:39:36 2025 max relations containing the same ideal: 200
  50. Tue Jul 8 16:42:48 2025 removing 13261944 relations and 11261944 ideals in 2000000 cliques
  51. Tue Jul 8 16:42:57 2025 commencing in-memory singleton removal
  52. Tue Jul 8 16:43:05 2025 begin with 497548417 relations and 377864850 unique ideals
  53. Tue Jul 8 16:43:38 2025 reduce to 497303283 relations and 366356416 ideals in 7 passes
  54. Tue Jul 8 16:43:38 2025 max relations containing the same ideal: 200
  55. Tue Jul 8 16:45:53 2025 removing 10057713 relations and 8057713 ideals in 2000000 cliques
  56. Tue Jul 8 16:46:00 2025 commencing in-memory singleton removal
  57. Tue Jul 8 16:46:07 2025 begin with 487245570 relations and 366356416 unique ideals
  58. Tue Jul 8 16:46:37 2025 reduce to 487087588 relations and 358139983 ideals in 8 passes
  59. Tue Jul 8 16:46:37 2025 max relations containing the same ideal: 200
  60. Tue Jul 8 16:47:56 2025 removing 9019410 relations and 7019410 ideals in 2000000 cliques
  61. Tue Jul 8 16:48:03 2025 commencing in-memory singleton removal
  62. Tue Jul 8 16:48:10 2025 begin with 478068178 relations and 358139983 unique ideals
  63. Tue Jul 8 16:48:37 2025 reduce to 477933912 relations and 350985687 ideals in 7 passes
  64. Tue Jul 8 16:48:37 2025 max relations containing the same ideal: 199
  65. Tue Jul 8 16:49:56 2025 removing 8416618 relations and 6416618 ideals in 2000000 cliques
  66. Tue Jul 8 16:50:02 2025 commencing in-memory singleton removal
  67. Tue Jul 8 16:50:09 2025 begin with 469517294 relations and 350985687 unique ideals
  68. Tue Jul 8 16:50:31 2025 reduce to 469395347 relations and 344446572 ideals in 6 passes
  69. Tue Jul 8 16:50:31 2025 max relations containing the same ideal: 197
  70. Tue Jul 8 16:51:47 2025 removing 8005221 relations and 6005221 ideals in 2000000 cliques
  71. Tue Jul 8 16:51:53 2025 commencing in-memory singleton removal
  72. Tue Jul 8 16:52:00 2025 begin with 461390126 relations and 344446572 unique ideals
  73. Tue Jul 8 16:52:22 2025 reduce to 461276793 relations and 338327525 ideals in 6 passes
  74. Tue Jul 8 16:52:22 2025 max relations containing the same ideal: 196
  75. Tue Jul 8 16:53:36 2025 removing 7697793 relations and 5697793 ideals in 2000000 cliques
  76. Tue Jul 8 16:53:42 2025 commencing in-memory singleton removal
  77. Tue Jul 8 16:53:49 2025 begin with 453579000 relations and 338327525 unique ideals
  78. Tue Jul 8 16:54:11 2025 reduce to 453471022 relations and 332521254 ideals in 6 passes
  79. Tue Jul 8 16:54:11 2025 max relations containing the same ideal: 194
  80. Tue Jul 8 16:55:24 2025 removing 7464337 relations and 5464337 ideals in 2000000 cliques
  81. Tue Jul 8 16:55:29 2025 commencing in-memory singleton removal
  82. Tue Jul 8 16:55:36 2025 begin with 446006685 relations and 332521254 unique ideals
  83. Tue Jul 8 16:56:01 2025 reduce to 445904050 relations and 326953798 ideals in 7 passes
  84. Tue Jul 8 16:56:01 2025 max relations containing the same ideal: 193
  85. Tue Jul 8 16:57:13 2025 removing 7275661 relations and 5275661 ideals in 2000000 cliques
  86. Tue Jul 8 16:57:18 2025 commencing in-memory singleton removal
  87. Tue Jul 8 16:57:25 2025 begin with 438628389 relations and 326953798 unique ideals
  88. Tue Jul 8 16:57:46 2025 reduce to 438528052 relations and 321577320 ideals in 6 passes
  89. Tue Jul 8 16:57:46 2025 max relations containing the same ideal: 192
  90. Tue Jul 8 16:58:57 2025 removing 7124572 relations and 5124572 ideals in 2000000 cliques
  91. Tue Jul 8 16:59:02 2025 commencing in-memory singleton removal
  92. Tue Jul 8 16:59:09 2025 begin with 431403480 relations and 321577320 unique ideals
  93. Tue Jul 8 16:59:29 2025 reduce to 431305226 relations and 316354007 ideals in 6 passes
  94. Tue Jul 8 16:59:29 2025 max relations containing the same ideal: 190
  95. Tue Jul 8 17:00:39 2025 removing 6994923 relations and 4994923 ideals in 2000000 cliques
  96. Tue Jul 8 17:00:44 2025 commencing in-memory singleton removal
  97. Tue Jul 8 17:00:51 2025 begin with 424310303 relations and 316354007 unique ideals
  98. Tue Jul 8 17:01:11 2025 reduce to 424214674 relations and 311262975 ideals in 6 passes
  99. Tue Jul 8 17:01:11 2025 max relations containing the same ideal: 188
  100. Tue Jul 8 17:02:19 2025 removing 6885202 relations and 4885202 ideals in 2000000 cliques
  101. Tue Jul 8 17:02:25 2025 commencing in-memory singleton removal
  102. Tue Jul 8 17:02:31 2025 begin with 417329472 relations and 311262975 unique ideals
  103. Tue Jul 8 17:02:51 2025 reduce to 417235017 relations and 306282821 ideals in 6 passes
  104. Tue Jul 8 17:02:51 2025 max relations containing the same ideal: 186
  105. Tue Jul 8 17:04:00 2025 removing 6792419 relations and 4792419 ideals in 2000000 cliques
  106. Tue Jul 8 17:04:05 2025 commencing in-memory singleton removal
  107. Tue Jul 8 17:04:12 2025 begin with 410442598 relations and 306282821 unique ideals
  108. Tue Jul 8 17:04:31 2025 reduce to 410348936 relations and 301396280 ideals in 6 passes
  109. Tue Jul 8 17:04:31 2025 max relations containing the same ideal: 184
  110. Tue Jul 8 17:05:37 2025 removing 6709212 relations and 4709212 ideals in 2000000 cliques
  111. Tue Jul 8 17:05:42 2025 commencing in-memory singleton removal
  112. Tue Jul 8 17:05:48 2025 begin with 403639724 relations and 301396280 unique ideals
  113. Tue Jul 8 17:06:10 2025 reduce to 403547474 relations and 296594285 ideals in 7 passes
  114. Tue Jul 8 17:06:10 2025 max relations containing the same ideal: 183
  115. Tue Jul 8 17:07:15 2025 removing 6636955 relations and 4636955 ideals in 2000000 cliques
  116. Tue Jul 8 17:07:19 2025 commencing in-memory singleton removal
  117. Tue Jul 8 17:07:25 2025 begin with 396910519 relations and 296594285 unique ideals
  118. Tue Jul 8 17:07:41 2025 reduce to 396818135 relations and 291864459 ideals in 5 passes
  119. Tue Jul 8 17:07:41 2025 max relations containing the same ideal: 181
  120. Tue Jul 8 17:08:45 2025 removing 6572481 relations and 4572481 ideals in 2000000 cliques
  121. Tue Jul 8 17:08:50 2025 commencing in-memory singleton removal
  122. Tue Jul 8 17:08:56 2025 begin with 390245654 relations and 291864459 unique ideals
  123. Tue Jul 8 17:09:14 2025 reduce to 390153776 relations and 287199547 ideals in 6 passes
  124. Tue Jul 8 17:09:14 2025 max relations containing the same ideal: 179
  125. Tue Jul 8 17:10:17 2025 removing 6514439 relations and 4514439 ideals in 2000000 cliques
  126. Tue Jul 8 17:10:22 2025 commencing in-memory singleton removal
  127. Tue Jul 8 17:10:27 2025 begin with 383639337 relations and 287199547 unique ideals
  128. Tue Jul 8 17:10:45 2025 reduce to 383547853 relations and 282593075 ideals in 6 passes
  129. Tue Jul 8 17:10:45 2025 max relations containing the same ideal: 178
  130. Tue Jul 8 17:11:53 2025 removing 6465862 relations and 4465862 ideals in 2000000 cliques
  131. Tue Jul 8 17:12:01 2025 commencing in-memory singleton removal
  132. Tue Jul 8 17:12:10 2025 begin with 377081991 relations and 282593075 unique ideals
  133. Tue Jul 8 17:12:46 2025 reduce to 376989684 relations and 278034329 ideals in 6 passes
  134. Tue Jul 8 17:12:46 2025 max relations containing the same ideal: 175
  135. Tue Jul 8 17:14:05 2025 removing 6421505 relations and 4421505 ideals in 2000000 cliques
  136. Tue Jul 8 17:14:10 2025 commencing in-memory singleton removal
  137. Tue Jul 8 17:14:17 2025 begin with 370568179 relations and 278034329 unique ideals
  138. Tue Jul 8 17:14:39 2025 reduce to 370476078 relations and 273520121 ideals in 6 passes
  139. Tue Jul 8 17:14:39 2025 max relations containing the same ideal: 174
  140. Tue Jul 8 17:15:54 2025 removing 6376800 relations and 4376800 ideals in 2000000 cliques
  141. Tue Jul 8 17:15:59 2025 commencing in-memory singleton removal
  142. Tue Jul 8 17:16:04 2025 begin with 364099278 relations and 273520121 unique ideals
  143. Tue Jul 8 17:16:27 2025 reduce to 364006640 relations and 269050020 ideals in 6 passes
  144. Tue Jul 8 17:16:27 2025 max relations containing the same ideal: 171
  145. Tue Jul 8 17:17:27 2025 removing 6339514 relations and 4339514 ideals in 2000000 cliques
  146. Tue Jul 8 17:17:31 2025 commencing in-memory singleton removal
  147. Tue Jul 8 17:17:37 2025 begin with 357667126 relations and 269050020 unique ideals
  148. Tue Jul 8 17:17:53 2025 reduce to 357574131 relations and 264616888 ideals in 6 passes
  149. Tue Jul 8 17:17:53 2025 max relations containing the same ideal: 170
  150. Tue Jul 8 17:18:51 2025 removing 6309497 relations and 4309497 ideals in 2000000 cliques
  151. Tue Jul 8 17:18:55 2025 commencing in-memory singleton removal
  152. Tue Jul 8 17:19:00 2025 begin with 351264634 relations and 264616888 unique ideals
  153. Tue Jul 8 17:19:17 2025 reduce to 351171745 relations and 260213866 ideals in 6 passes
  154. Tue Jul 8 17:19:17 2025 max relations containing the same ideal: 167
  155. Tue Jul 8 17:20:13 2025 removing 6277170 relations and 4277170 ideals in 2000000 cliques
  156. Tue Jul 8 17:20:17 2025 commencing in-memory singleton removal
  157. Tue Jul 8 17:20:23 2025 begin with 344894575 relations and 260213866 unique ideals
  158. Tue Jul 8 17:20:39 2025 reduce to 344800731 relations and 255842099 ideals in 6 passes
  159. Tue Jul 8 17:20:39 2025 max relations containing the same ideal: 166
  160. Tue Jul 8 17:21:34 2025 removing 6248586 relations and 4248586 ideals in 2000000 cliques
  161. Tue Jul 8 17:21:39 2025 commencing in-memory singleton removal
  162. Tue Jul 8 17:21:44 2025 begin with 338552145 relations and 255842099 unique ideals
  163. Tue Jul 8 17:21:59 2025 reduce to 338457486 relations and 251498089 ideals in 6 passes
  164. Tue Jul 8 17:21:59 2025 max relations containing the same ideal: 165
  165. Tue Jul 8 17:22:54 2025 removing 6223868 relations and 4223868 ideals in 2000000 cliques
  166. Tue Jul 8 17:22:58 2025 commencing in-memory singleton removal
  167. Tue Jul 8 17:23:03 2025 begin with 332233618 relations and 251498089 unique ideals
  168. Tue Jul 8 17:23:18 2025 reduce to 332138432 relations and 247178297 ideals in 6 passes
  169. Tue Jul 8 17:23:18 2025 max relations containing the same ideal: 162
  170. Tue Jul 8 17:24:12 2025 removing 6200083 relations and 4200083 ideals in 2000000 cliques
  171. Tue Jul 8 17:24:16 2025 commencing in-memory singleton removal
  172. Tue Jul 8 17:24:21 2025 begin with 325938349 relations and 247178297 unique ideals
  173. Tue Jul 8 17:24:36 2025 reduce to 325841813 relations and 242880891 ideals in 6 passes
  174. Tue Jul 8 17:24:36 2025 max relations containing the same ideal: 162
  175. Tue Jul 8 17:25:29 2025 removing 6179381 relations and 4179381 ideals in 2000000 cliques
  176. Tue Jul 8 17:25:33 2025 commencing in-memory singleton removal
  177. Tue Jul 8 17:25:38 2025 begin with 319662432 relations and 242880891 unique ideals
  178. Tue Jul 8 17:25:52 2025 reduce to 319565414 relations and 238603678 ideals in 6 passes
  179. Tue Jul 8 17:25:52 2025 max relations containing the same ideal: 160
  180. Tue Jul 8 17:26:44 2025 removing 6161378 relations and 4161378 ideals in 2000000 cliques
  181. Tue Jul 8 17:26:48 2025 commencing in-memory singleton removal
  182. Tue Jul 8 17:26:53 2025 begin with 313404036 relations and 238603678 unique ideals
  183. Tue Jul 8 17:27:07 2025 reduce to 313305633 relations and 234343056 ideals in 6 passes
  184. Tue Jul 8 17:27:07 2025 max relations containing the same ideal: 158
  185. Tue Jul 8 17:27:58 2025 removing 6144396 relations and 4144396 ideals in 2000000 cliques
  186. Tue Jul 8 17:28:02 2025 commencing in-memory singleton removal
  187. Tue Jul 8 17:28:07 2025 begin with 307161237 relations and 234343056 unique ideals
  188. Tue Jul 8 17:28:21 2025 reduce to 307061258 relations and 230097816 ideals in 6 passes
  189. Tue Jul 8 17:28:21 2025 max relations containing the same ideal: 158
  190. Tue Jul 8 17:29:11 2025 removing 6131499 relations and 4131499 ideals in 2000000 cliques
  191. Tue Jul 8 17:29:14 2025 commencing in-memory singleton removal
  192. Tue Jul 8 17:29:19 2025 begin with 300929759 relations and 230097816 unique ideals
  193. Tue Jul 8 17:29:33 2025 reduce to 300828081 relations and 225863696 ideals in 6 passes
  194. Tue Jul 8 17:29:33 2025 max relations containing the same ideal: 157
  195. Tue Jul 8 17:30:22 2025 removing 6117446 relations and 4117446 ideals in 2000000 cliques
  196. Tue Jul 8 17:30:25 2025 commencing in-memory singleton removal
  197. Tue Jul 8 17:30:30 2025 begin with 294710635 relations and 225863696 unique ideals
  198. Tue Jul 8 17:30:43 2025 reduce to 294608497 relations and 221643184 ideals in 6 passes
  199. Tue Jul 8 17:30:43 2025 max relations containing the same ideal: 155
  200. Tue Jul 8 17:31:30 2025 removing 6107410 relations and 4107410 ideals in 2000000 cliques
  201. Tue Jul 8 17:31:34 2025 commencing in-memory singleton removal
  202. Tue Jul 8 17:31:38 2025 begin with 288501087 relations and 221643184 unique ideals
  203. Tue Jul 8 17:31:52 2025 reduce to 288396527 relations and 217430188 ideals in 6 passes
  204. Tue Jul 8 17:31:52 2025 max relations containing the same ideal: 152
  205. Tue Jul 8 17:32:38 2025 removing 6097637 relations and 4097637 ideals in 2000000 cliques
  206. Tue Jul 8 17:32:42 2025 commencing in-memory singleton removal
  207. Tue Jul 8 17:32:46 2025 begin with 282298890 relations and 217430188 unique ideals
  208. Tue Jul 8 17:32:59 2025 reduce to 282193251 relations and 213225853 ideals in 6 passes
  209. Tue Jul 8 17:32:59 2025 max relations containing the same ideal: 147
  210. Tue Jul 8 17:33:44 2025 removing 6091246 relations and 4091246 ideals in 2000000 cliques
  211. Tue Jul 8 17:33:48 2025 commencing in-memory singleton removal
  212. Tue Jul 8 17:33:52 2025 begin with 276102005 relations and 213225853 unique ideals
  213. Tue Jul 8 17:34:04 2025 reduce to 275993900 relations and 209025464 ideals in 6 passes
  214. Tue Jul 8 17:34:04 2025 max relations containing the same ideal: 145
  215. Tue Jul 8 17:34:49 2025 removing 6085562 relations and 4085562 ideals in 2000000 cliques
  216. Tue Jul 8 17:34:52 2025 commencing in-memory singleton removal
  217. Tue Jul 8 17:34:56 2025 begin with 269908338 relations and 209025464 unique ideals
  218. Tue Jul 8 17:35:07 2025 reduce to 269798898 relations and 204829370 ideals in 5 passes
  219. Tue Jul 8 17:35:07 2025 max relations containing the same ideal: 145
  220. Tue Jul 8 17:35:50 2025 removing 6079220 relations and 4079220 ideals in 2000000 cliques
  221. Tue Jul 8 17:35:54 2025 commencing in-memory singleton removal
  222. Tue Jul 8 17:35:57 2025 begin with 263719678 relations and 204829370 unique ideals
  223. Tue Jul 8 17:36:09 2025 reduce to 263608093 relations and 200637399 ideals in 6 passes
  224. Tue Jul 8 17:36:09 2025 max relations containing the same ideal: 143
  225. Tue Jul 8 17:36:52 2025 removing 6078992 relations and 4078992 ideals in 2000000 cliques
  226. Tue Jul 8 17:36:55 2025 commencing in-memory singleton removal
  227. Tue Jul 8 17:36:59 2025 begin with 257529101 relations and 200637399 unique ideals
  228. Tue Jul 8 17:37:11 2025 reduce to 257415379 relations and 196443516 ideals in 6 passes
  229. Tue Jul 8 17:37:11 2025 max relations containing the same ideal: 140
  230. Tue Jul 8 17:37:52 2025 removing 6074657 relations and 4074657 ideals in 2000000 cliques
  231. Tue Jul 8 17:37:56 2025 commencing in-memory singleton removal
  232. Tue Jul 8 17:37:59 2025 begin with 251340722 relations and 196443516 unique ideals
  233. Tue Jul 8 17:38:11 2025 reduce to 251224470 relations and 192251357 ideals in 6 passes
  234. Tue Jul 8 17:38:11 2025 max relations containing the same ideal: 139
  235. Tue Jul 8 17:38:52 2025 removing 6077689 relations and 4077689 ideals in 2000000 cliques
  236. Tue Jul 8 17:38:55 2025 commencing in-memory singleton removal
  237. Tue Jul 8 17:38:58 2025 begin with 245146781 relations and 192251357 unique ideals
  238. Tue Jul 8 17:39:09 2025 reduce to 245028598 relations and 188054152 ideals in 6 passes
  239. Tue Jul 8 17:39:09 2025 max relations containing the same ideal: 137
  240. Tue Jul 8 17:39:49 2025 removing 6078335 relations and 4078335 ideals in 2000000 cliques
  241. Tue Jul 8 17:39:53 2025 commencing in-memory singleton removal
  242. Tue Jul 8 17:39:56 2025 begin with 238950263 relations and 188054152 unique ideals
  243. Tue Jul 8 17:40:07 2025 reduce to 238829804 relations and 183853912 ideals in 6 passes
  244. Tue Jul 8 17:40:07 2025 max relations containing the same ideal: 135
  245. Tue Jul 8 17:40:46 2025 removing 6079621 relations and 4079621 ideals in 2000000 cliques
  246. Tue Jul 8 17:40:49 2025 commencing in-memory singleton removal
  247. Tue Jul 8 17:40:52 2025 begin with 232750183 relations and 183853912 unique ideals
  248. Tue Jul 8 17:41:03 2025 reduce to 232625487 relations and 179648180 ideals in 6 passes
  249. Tue Jul 8 17:41:03 2025 max relations containing the same ideal: 129
  250. Tue Jul 8 17:41:41 2025 removing 6087090 relations and 4087090 ideals in 2000000 cliques
  251. Tue Jul 8 17:41:44 2025 commencing in-memory singleton removal
  252. Tue Jul 8 17:41:47 2025 begin with 226538397 relations and 179648180 unique ideals
  253. Tue Jul 8 17:41:58 2025 reduce to 226412017 relations and 175433242 ideals in 6 passes
  254. Tue Jul 8 17:41:58 2025 max relations containing the same ideal: 127
  255. Tue Jul 8 17:42:35 2025 removing 6093420 relations and 4093420 ideals in 2000000 cliques
  256. Tue Jul 8 17:42:38 2025 commencing in-memory singleton removal
  257. Tue Jul 8 17:42:41 2025 begin with 220318597 relations and 175433242 unique ideals
  258. Tue Jul 8 17:42:51 2025 reduce to 220188942 relations and 171208573 ideals in 6 passes
  259. Tue Jul 8 17:42:51 2025 max relations containing the same ideal: 125
  260. Tue Jul 8 17:43:28 2025 removing 6105674 relations and 4105674 ideals in 2000000 cliques
  261. Tue Jul 8 17:43:31 2025 commencing in-memory singleton removal
  262. Tue Jul 8 17:43:34 2025 begin with 214083268 relations and 171208573 unique ideals
  263. Tue Jul 8 17:43:43 2025 reduce to 213949146 relations and 166967146 ideals in 6 passes
  264. Tue Jul 8 17:43:43 2025 max relations containing the same ideal: 123
  265. Tue Jul 8 17:44:19 2025 removing 6111250 relations and 4111250 ideals in 2000000 cliques
  266. Tue Jul 8 17:44:22 2025 commencing in-memory singleton removal
  267. Tue Jul 8 17:44:25 2025 begin with 207837896 relations and 166967146 unique ideals
  268. Tue Jul 8 17:44:34 2025 reduce to 207700761 relations and 162717071 ideals in 6 passes
  269. Tue Jul 8 17:44:34 2025 max relations containing the same ideal: 119
  270. Tue Jul 8 17:45:09 2025 removing 6123297 relations and 4123297 ideals in 2000000 cliques
  271. Tue Jul 8 17:45:12 2025 commencing in-memory singleton removal
  272. Tue Jul 8 17:45:14 2025 begin with 201577464 relations and 162717071 unique ideals
  273. Tue Jul 8 17:45:23 2025 reduce to 201436075 relations and 158450575 ideals in 6 passes
  274. Tue Jul 8 17:45:23 2025 max relations containing the same ideal: 119
  275. Tue Jul 8 17:45:57 2025 removing 6135561 relations and 4135561 ideals in 2000000 cliques
  276. Tue Jul 8 17:46:00 2025 commencing in-memory singleton removal
  277. Tue Jul 8 17:46:03 2025 begin with 195300514 relations and 158450575 unique ideals
  278. Tue Jul 8 17:46:10 2025 reduce to 195153888 relations and 154166585 ideals in 5 passes
  279. Tue Jul 8 17:46:10 2025 max relations containing the same ideal: 117
  280. Tue Jul 8 17:46:43 2025 removing 6155913 relations and 4155913 ideals in 2000000 cliques
  281. Tue Jul 8 17:46:46 2025 commencing in-memory singleton removal
  282. Tue Jul 8 17:46:48 2025 begin with 188997975 relations and 154166585 unique ideals
  283. Tue Jul 8 17:46:57 2025 reduce to 188847258 relations and 149858009 ideals in 6 passes
  284. Tue Jul 8 17:46:57 2025 max relations containing the same ideal: 115
  285. Tue Jul 8 17:47:29 2025 removing 6173973 relations and 4173973 ideals in 2000000 cliques
  286. Tue Jul 8 17:47:32 2025 commencing in-memory singleton removal
  287. Tue Jul 8 17:47:34 2025 begin with 182673285 relations and 149858009 unique ideals
  288. Tue Jul 8 17:47:42 2025 reduce to 182518763 relations and 145527415 ideals in 6 passes
  289. Tue Jul 8 17:47:42 2025 max relations containing the same ideal: 112
  290. Tue Jul 8 17:48:13 2025 removing 6192146 relations and 4192146 ideals in 2000000 cliques
  291. Tue Jul 8 17:48:16 2025 commencing in-memory singleton removal
  292. Tue Jul 8 17:48:19 2025 begin with 176326617 relations and 145527415 unique ideals
  293. Tue Jul 8 17:48:26 2025 reduce to 176166022 relations and 141172520 ideals in 6 passes
  294. Tue Jul 8 17:48:26 2025 max relations containing the same ideal: 109
  295. Tue Jul 8 17:48:57 2025 removing 6218439 relations and 4218439 ideals in 2000000 cliques
  296. Tue Jul 8 17:48:59 2025 commencing in-memory singleton removal
  297. Tue Jul 8 17:49:02 2025 begin with 169947583 relations and 141172520 unique ideals
  298. Tue Jul 8 17:49:10 2025 reduce to 169780154 relations and 136784374 ideals in 7 passes
  299. Tue Jul 8 17:49:10 2025 max relations containing the same ideal: 106
  300. Tue Jul 8 17:49:40 2025 removing 6245659 relations and 4245659 ideals in 2000000 cliques
  301. Tue Jul 8 17:49:42 2025 commencing in-memory singleton removal
  302. Tue Jul 8 17:49:44 2025 begin with 163534495 relations and 136784374 unique ideals
  303. Tue Jul 8 17:49:51 2025 reduce to 163360477 relations and 132362283 ideals in 6 passes
  304. Tue Jul 8 17:49:51 2025 max relations containing the same ideal: 101
  305. Tue Jul 8 17:50:20 2025 removing 6273866 relations and 4273866 ideals in 2000000 cliques
  306. Tue Jul 8 17:50:22 2025 commencing in-memory singleton removal
  307. Tue Jul 8 17:50:24 2025 begin with 157086611 relations and 132362283 unique ideals
  308. Tue Jul 8 17:50:31 2025 reduce to 156905403 relations and 127904653 ideals in 6 passes
  309. Tue Jul 8 17:50:31 2025 max relations containing the same ideal: 99
  310. Tue Jul 8 17:50:59 2025 removing 6306262 relations and 4306262 ideals in 2000000 cliques
  311. Tue Jul 8 17:51:01 2025 commencing in-memory singleton removal
  312. Tue Jul 8 17:51:03 2025 begin with 150599141 relations and 127904653 unique ideals
  313. Tue Jul 8 17:51:10 2025 reduce to 150410340 relations and 123406929 ideals in 6 passes
  314. Tue Jul 8 17:51:10 2025 max relations containing the same ideal: 96
  315. Tue Jul 8 17:51:36 2025 removing 6342124 relations and 4342124 ideals in 2000000 cliques
  316. Tue Jul 8 17:51:39 2025 commencing in-memory singleton removal
  317. Tue Jul 8 17:51:41 2025 begin with 144068216 relations and 123406929 unique ideals
  318. Tue Jul 8 17:51:47 2025 reduce to 143871520 relations and 118865135 ideals in 6 passes
  319. Tue Jul 8 17:51:47 2025 max relations containing the same ideal: 93
  320. Tue Jul 8 17:52:13 2025 removing 6380305 relations and 4380305 ideals in 2000000 cliques
  321. Tue Jul 8 17:52:15 2025 commencing in-memory singleton removal
  322. Tue Jul 8 17:52:17 2025 begin with 137491215 relations and 118865135 unique ideals
  323. Tue Jul 8 17:52:23 2025 reduce to 137284277 relations and 114274800 ideals in 6 passes
  324. Tue Jul 8 17:52:23 2025 max relations containing the same ideal: 92
  325. Tue Jul 8 17:52:48 2025 removing 6425938 relations and 4425938 ideals in 2000000 cliques
  326. Tue Jul 8 17:52:50 2025 commencing in-memory singleton removal
  327. Tue Jul 8 17:52:52 2025 begin with 130858339 relations and 114274800 unique ideals
  328. Tue Jul 8 17:52:57 2025 reduce to 130639632 relations and 109626835 ideals in 6 passes
  329. Tue Jul 8 17:52:57 2025 max relations containing the same ideal: 88
  330. Tue Jul 8 17:53:21 2025 removing 6472960 relations and 4472960 ideals in 2000000 cliques
  331. Tue Jul 8 17:53:23 2025 commencing in-memory singleton removal
  332. Tue Jul 8 17:53:25 2025 begin with 124166672 relations and 109626835 unique ideals
  333. Tue Jul 8 17:53:30 2025 reduce to 123935340 relations and 104918852 ideals in 6 passes
  334. Tue Jul 8 17:53:30 2025 max relations containing the same ideal: 85
  335. Tue Jul 8 17:53:52 2025 removing 6528191 relations and 4528191 ideals in 2000000 cliques
  336. Tue Jul 8 17:53:54 2025 commencing in-memory singleton removal
  337. Tue Jul 8 17:53:56 2025 begin with 117407149 relations and 104918852 unique ideals
  338. Tue Jul 8 17:54:01 2025 reduce to 117162603 relations and 100142262 ideals in 6 passes
  339. Tue Jul 8 17:54:01 2025 max relations containing the same ideal: 82
  340. Tue Jul 8 17:54:22 2025 removing 6583924 relations and 4583924 ideals in 2000000 cliques
  341. Tue Jul 8 17:54:24 2025 commencing in-memory singleton removal
  342. Tue Jul 8 17:54:26 2025 begin with 110578679 relations and 100142262 unique ideals
  343. Tue Jul 8 17:54:31 2025 reduce to 110316431 relations and 95291717 ideals in 6 passes
  344. Tue Jul 8 17:54:31 2025 max relations containing the same ideal: 80
  345. Tue Jul 8 17:54:51 2025 removing 6647424 relations and 4647424 ideals in 2000000 cliques
  346. Tue Jul 8 17:54:53 2025 commencing in-memory singleton removal
  347. Tue Jul 8 17:54:54 2025 begin with 103669007 relations and 95291717 unique ideals
  348. Tue Jul 8 17:54:59 2025 reduce to 103390034 relations and 90360519 ideals in 7 passes
  349. Tue Jul 8 17:54:59 2025 max relations containing the same ideal: 76
  350. Tue Jul 8 17:55:18 2025 removing 6719133 relations and 4719133 ideals in 2000000 cliques
  351. Tue Jul 8 17:55:20 2025 commencing in-memory singleton removal
  352. Tue Jul 8 17:55:22 2025 begin with 96670901 relations and 90360519 unique ideals
  353. Tue Jul 8 17:55:26 2025 reduce to 96367119 relations and 85332192 ideals in 7 passes
  354. Tue Jul 8 17:55:26 2025 max relations containing the same ideal: 73
  355. Tue Jul 8 17:55:44 2025 removing 6796437 relations and 4796437 ideals in 2000000 cliques
  356. Tue Jul 8 17:55:46 2025 commencing in-memory singleton removal
  357. Tue Jul 8 17:55:47 2025 begin with 89570682 relations and 85332192 unique ideals
  358. Tue Jul 8 17:55:52 2025 reduce to 89239928 relations and 80198680 ideals in 7 passes
  359. Tue Jul 8 17:55:52 2025 max relations containing the same ideal: 70
  360. Tue Jul 8 17:56:09 2025 removing 6886799 relations and 4886799 ideals in 2000000 cliques
  361. Tue Jul 8 17:56:10 2025 commencing in-memory singleton removal
  362. Tue Jul 8 17:56:11 2025 begin with 82353129 relations and 80198680 unique ideals
  363. Tue Jul 8 17:56:15 2025 reduce to 81986849 relations and 74938328 ideals in 7 passes
  364. Tue Jul 8 17:56:15 2025 max relations containing the same ideal: 68
  365. Tue Jul 8 17:56:31 2025 removing 6985330 relations and 4985330 ideals in 2000000 cliques
  366. Tue Jul 8 17:56:33 2025 commencing in-memory singleton removal
  367. Tue Jul 8 17:56:34 2025 begin with 75001519 relations and 74938328 unique ideals
  368. Tue Jul 8 17:56:37 2025 reduce to 74593662 relations and 69536647 ideals in 7 passes
  369. Tue Jul 8 17:56:37 2025 max relations containing the same ideal: 63
  370. Tue Jul 8 17:56:52 2025 removing 7100853 relations and 5100853 ideals in 2000000 cliques
  371. Tue Jul 8 17:56:54 2025 commencing in-memory singleton removal
  372. Tue Jul 8 17:56:55 2025 begin with 67492809 relations and 69536647 unique ideals
  373. Tue Jul 8 17:56:58 2025 reduce to 67021812 relations and 63953897 ideals in 8 passes
  374. Tue Jul 8 17:56:58 2025 max relations containing the same ideal: 57
  375. Tue Jul 8 17:57:11 2025 removing 472154 relations and 392313 ideals in 79841 cliques
  376. Tue Jul 8 17:57:12 2025 commencing in-memory singleton removal
  377. Tue Jul 8 17:57:13 2025 begin with 66549658 relations and 63953897 unique ideals
  378. Tue Jul 8 17:57:15 2025 reduce to 66547578 relations and 63559503 ideals in 5 passes
  379. Tue Jul 8 17:57:15 2025 max relations containing the same ideal: 57
  380. Tue Jul 8 17:57:20 2025 relations with 0 large ideals: 95598
  381. Tue Jul 8 17:57:20 2025 relations with 1 large ideals: 94329
  382. Tue Jul 8 17:57:20 2025 relations with 2 large ideals: 995061
  383. Tue Jul 8 17:57:20 2025 relations with 3 large ideals: 4788950
  384. Tue Jul 8 17:57:20 2025 relations with 4 large ideals: 12065648
  385. Tue Jul 8 17:57:20 2025 relations with 5 large ideals: 17805454
  386. Tue Jul 8 17:57:20 2025 relations with 6 large ideals: 16244372
  387. Tue Jul 8 17:57:20 2025 relations with 7+ large ideals: 14458166
  388. Tue Jul 8 17:57:20 2025 commencing 2-way merge
  389. Tue Jul 8 17:57:39 2025 reduce to 42176506 relation sets and 39188431 unique ideals
  390. Tue Jul 8 17:57:39 2025 commencing full merge
  391. Tue Jul 8 18:06:12 2025 memory use: 5103.0 MB
  392. Tue Jul 8 18:06:15 2025 found 19529447 cycles, need 19206631
  393. Tue Jul 8 18:06:18 2025 weight of 19206631 cycles is about 2305426496 (120.03/cycle)
  394. Tue Jul 8 18:06:18 2025 distribution of cycle lengths:
  395. Tue Jul 8 18:06:18 2025 1 relations: 931024
  396. Tue Jul 8 18:06:18 2025 2 relations: 1175275
  397. Tue Jul 8 18:06:18 2025 3 relations: 1335164
  398. Tue Jul 8 18:06:18 2025 4 relations: 1378771
  399. Tue Jul 8 18:06:18 2025 5 relations: 1429304
  400. Tue Jul 8 18:06:18 2025 6 relations: 1431856
  401. Tue Jul 8 18:06:18 2025 7 relations: 1425518
  402. Tue Jul 8 18:06:18 2025 8 relations: 1370903
  403. Tue Jul 8 18:06:18 2025 9 relations: 1298615
  404. Tue Jul 8 18:06:18 2025 10+ relations: 7430201
  405. Tue Jul 8 18:06:18 2025 heaviest cycle: 27 relations
  406. Tue Jul 8 18:06:21 2025 commencing cycle optimization
  407. Tue Jul 8 18:06:47 2025 start with 163842903 relations
  408. Tue Jul 8 18:10:03 2025 pruned 7241242 relations
  409. Tue Jul 8 18:10:04 2025 memory use: 4418.3 MB
  410. Tue Jul 8 18:10:04 2025 distribution of cycle lengths:
  411. Tue Jul 8 18:10:04 2025 1 relations: 931024
  412. Tue Jul 8 18:10:04 2025 2 relations: 1202565
  413. Tue Jul 8 18:10:04 2025 3 relations: 1388582
  414. Tue Jul 8 18:10:04 2025 4 relations: 1435228
  415. Tue Jul 8 18:10:04 2025 5 relations: 1500261
  416. Tue Jul 8 18:10:04 2025 6 relations: 1504779
  417. Tue Jul 8 18:10:04 2025 7 relations: 1504759
  418. Tue Jul 8 18:10:04 2025 8 relations: 1442730
  419. Tue Jul 8 18:10:04 2025 9 relations: 1366787
  420. Tue Jul 8 18:10:04 2025 10+ relations: 6929916
  421. Tue Jul 8 18:10:04 2025 heaviest cycle: 27 relations
  422. Tue Jul 8 18:10:24 2025 RelProcTime: 7638
  423. Tue Jul 8 18:10:24 2025 elapsed time 02:07:19
  424. Tue Jul 8 20:03:23 2025
  425. Tue Jul 8 20:03:23 2025
  426. Tue Jul 8 20:03:23 2025 Msieve v. 1.54 (SVN 66ed352)
  427. Tue Jul 8 20:03:23 2025 random seeds: a10d5f33 dcdfe0bb
  428. Tue Jul 8 20:03:23 2025 MPI process 0 of 2
  429. Tue Jul 8 20:03:23 2025 Using 8 OpenMP threads
  430. Tue Jul 8 20:03:23 2025 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (263 digits)
  431. Tue Jul 8 20:03:24 2025 no P-1/P+1/ECM available, skipping
  432. Tue Jul 8 20:03:24 2025 commencing number field sieve (263-digit input)
  433. Tue Jul 8 20:03:24 2025 R0: 100000000000000000000000000000000000000000000
  434. Tue Jul 8 20:03:24 2025 R1: -1
  435. Tue Jul 8 20:03:24 2025 A0: 1730
  436. Tue Jul 8 20:03:24 2025 A1: 0
  437. Tue Jul 8 20:03:24 2025 A2: 0
  438. Tue Jul 8 20:03:24 2025 A3: 0
  439. Tue Jul 8 20:03:24 2025 A4: 0
  440. Tue Jul 8 20:03:24 2025 A5: 0
  441. Tue Jul 8 20:03:24 2025 A6: 7
  442. Tue Jul 8 20:03:24 2025 skew 1.00, size 2.613e-13, alpha 0.676, combined = 4.094e-14 rroots = 0
  443. Tue Jul 8 20:03:24 2025
  444. Tue Jul 8 20:03:24 2025 commencing linear algebra
  445. Tue Jul 8 20:03:24 2025 using VBITS=256
  446. Tue Jul 8 20:03:24 2025 initialized process (0,0) of 1 x 2 grid
  447. Tue Jul 8 20:03:25 2025 read 19206631 cycles
  448. Tue Jul 8 20:03:49 2025 cycles contain 65097609 unique relations
  449. Tue Jul 8 20:05:04 2025 read 65097609 relations
  450. Tue Jul 8 20:05:18 2025 using 20 quadratic characters above 4294917295
  451. Tue Jul 8 20:05:45 2025 building initial matrix
  452. Tue Jul 8 20:20:08 2025 memory use: 8296.5 MB
  453. Tue Jul 8 20:20:22 2025 read 19206631 cycles
  454. Tue Jul 8 20:20:25 2025 matrix is 19206454 x 19206631 (9037.1 MB) with weight 2580814121 (134.37/col)
  455. Tue Jul 8 20:20:25 2025 sparse part has weight 2157749064 (112.34/col)
  456. Tue Jul 8 20:24:38 2025 filtering completed in 2 passes
  457. Tue Jul 8 20:24:41 2025 matrix is 19205170 x 19205341 (9037.0 MB) with weight 2580761457 (134.38/col)
  458. Tue Jul 8 20:24:41 2025 sparse part has weight 2157724421 (112.35/col)
  459. Tue Jul 8 20:25:30 2025 matrix starts at (0, 0)
  460. Tue Jul 8 20:25:31 2025 matrix is 19205170 x 9602653 (4518.5 MB) with weight 1290373593 (134.38/col)
  461. Tue Jul 8 20:25:31 2025 sparse part has weight 1078862390 (112.35/col)
  462. Tue Jul 8 20:25:31 2025 saving the first 240 matrix rows for later
  463. Tue Jul 8 20:25:32 2025 matrix includes 256 packed rows
  464. Tue Jul 8 20:25:36 2025 matrix is 19204930 x 9602653 (4173.2 MB) with weight 988522222 (102.94/col)
  465. Tue Jul 8 20:25:36 2025 sparse part has weight 940335871 (97.92/col)
  466. Tue Jul 8 20:25:36 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  467. Tue Jul 8 20:25:36 2025 selected card has CUDA arch 8.6
  468. Tue Jul 8 20:26:28 2025 commencing Lanczos iteration
  469. Tue Jul 8 20:26:29 2025 memory use: 10507.6 MB
  470. Tue Jul 8 20:27:04 2025 linear algebra at 0.2%, ETA 5h54m
  471. Tue Jul 8 20:27:55 2025 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  472. Wed Jul 9 02:34:12 2025 lanczos halted after 75245 iterations (dim = 19204929)
  473. Wed Jul 9 02:35:15 2025 recovered 34 nontrivial dependencies
  474. Wed Jul 9 02:35:16 2025 BLanczosTime: 23512
  475. Wed Jul 9 02:35:16 2025 elapsed time 06:31:53
  476. Wed Jul 9 15:32:25 2025
  477. Wed Jul 9 15:32:25 2025
  478. Wed Jul 9 15:32:25 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  479. Wed Jul 9 15:32:25 2025 random seeds: 1b00706f d397f170
  480. Wed Jul 9 15:32:25 2025 Using 16 OpenMP threads
  481. Wed Jul 9 15:32:25 2025 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (263 digits)
  482. Wed Jul 9 15:32:25 2025 no P-1/P+1/ECM available, skipping
  483. Wed Jul 9 15:32:25 2025 commencing number field sieve (263-digit input)
  484. Wed Jul 9 15:32:25 2025 R0: 100000000000000000000000000000000000000000000
  485. Wed Jul 9 15:32:25 2025 R1: -1
  486. Wed Jul 9 15:32:25 2025 A0: 1730
  487. Wed Jul 9 15:32:25 2025 A1: 0
  488. Wed Jul 9 15:32:25 2025 A2: 0
  489. Wed Jul 9 15:32:25 2025 A3: 0
  490. Wed Jul 9 15:32:25 2025 A4: 0
  491. Wed Jul 9 15:32:25 2025 A5: 0
  492. Wed Jul 9 15:32:25 2025 A6: 7
  493. Wed Jul 9 15:32:25 2025 skew 1.00, size 2.613e-13, alpha 0.676, combined = 4.094e-14 rroots = 0
  494. Wed Jul 9 15:32:25 2025
  495. Wed Jul 9 15:32:25 2025 commencing square root phase
  496. Wed Jul 9 15:32:25 2025 reading relations for dependency 1
  497. Wed Jul 9 15:32:26 2025 read 9601066 cycles
  498. Wed Jul 9 15:32:43 2025 cycles contain 32542616 unique relations
  499. Wed Jul 9 15:34:19 2025 read 32542616 relations
  500. Wed Jul 9 15:36:18 2025 multiplying 32542616 relations
  501. Wed Jul 9 15:39:06 2025 multiply complete, coefficients have about 969.60 million bits
  502. Wed Jul 9 15:39:08 2025 initial square root is modulo 499746349
  503. Wed Jul 9 15:46:35 2025 sqrtTime: 850
  504. Wed Jul 9 15:46:35 2025 p78 factor: 895138997833412660336408479662010725791534310055026576823316790618428069786977
  505. Wed Jul 9 15:46:35 2025 p185 factor: 86889050712828393140707238204791624170578342474237756535674260732089968222465642786279569422163792307246485142431910873195760041777336744261245476303631865455871948113350006821979018661
  506. Wed Jul 9 15:46:35 2025 elapsed time 00:14:10
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