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gchilders
Jun 13th, 2025
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  1. Thu Jun 12 19:21:25 2025
  2. Thu Jun 12 19:21:25 2025
  3. Thu Jun 12 19:21:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 12 19:21:25 2025 random seeds: 0ff540dd 696e822b
  5. Thu Jun 12 19:21:25 2025 MPI process 0 of 1
  6. Thu Jun 12 19:21:25 2025 Using 46 OpenMP threads
  7. Thu Jun 12 19:21:25 2025 factoring 2480941402589284737750489164604872685901479020895310041911431140951549210797422461267850521361394431270349972375622615521194420204210400359569515879540467823791197390884801243620407511105443752087501311863366290839381411 (220 digits)
  8. Thu Jun 12 19:21:26 2025 no P-1/P+1/ECM available, skipping
  9. Thu Jun 12 19:21:26 2025 commencing number field sieve (220-digit input)
  10. Thu Jun 12 19:21:26 2025 R0: 19735865111266045462801336986538565776854869527
  11. Thu Jun 12 19:21:26 2025 R1: -2109840582450070658310040166140836617
  12. Thu Jun 12 19:21:26 2025 A0: 14111
  13. Thu Jun 12 19:21:26 2025 A1: 0
  14. Thu Jun 12 19:21:26 2025 A2: 0
  15. Thu Jun 12 19:21:26 2025 A3: 0
  16. Thu Jun 12 19:21:26 2025 A4: 0
  17. Thu Jun 12 19:21:26 2025 A5: 0
  18. Thu Jun 12 19:21:26 2025 A6: 1
  19. Thu Jun 12 19:21:26 2025 skew 4.92, size 1.243e-13, alpha -1.749, combined = 2.397e-14 rroots = 0
  20. Thu Jun 12 19:21:26 2025
  21. Thu Jun 12 19:21:26 2025 commencing relation filtering
  22. Thu Jun 12 19:21:26 2025 setting target matrix density to 110.0
  23. Thu Jun 12 19:21:26 2025 estimated available RAM is 192069.2 MB
  24. Thu Jun 12 19:21:26 2025 commencing duplicate removal, pass 1
  25. Thu Jun 12 19:27:53 2025 error -5 reading relation 559779263
  26. Thu Jun 12 19:28:43 2025 error -1 reading relation 632938561
  27. Thu Jun 12 19:28:46 2025 error -15 reading relation 637763914
  28. Thu Jun 12 19:28:49 2025 error -5 reading relation 641301937
  29. Thu Jun 12 19:29:10 2025 error -11 reading relation 670821836
  30. Thu Jun 12 19:29:23 2025 error -1 reading relation 689651900
  31. Thu Jun 12 19:29:23 2025 error -6 reading relation 689664568
  32. Thu Jun 12 19:29:36 2025 error -5 reading relation 707397227
  33. Thu Jun 12 19:29:36 2025 skipped 662 relations with b > 2^32
  34. Thu Jun 12 19:29:36 2025 skipped 1127 malformed relations
  35. Thu Jun 12 19:29:36 2025 found 27628404 hash collisions in 707878500 relations
  36. Thu Jun 12 19:29:52 2025 added 1219058 free relations
  37. Thu Jun 12 19:29:52 2025 commencing duplicate removal, pass 2
  38. Thu Jun 12 19:33:08 2025 found 0 duplicates and 709097558 unique relations
  39. Thu Jun 12 19:33:08 2025 memory use: 2217.5 MB
  40. Thu Jun 12 19:33:08 2025 reading ideals above 720000
  41. Thu Jun 12 19:33:09 2025 commencing singleton removal, initial pass
  42. Thu Jun 12 20:07:27 2025 memory use: 11024.0 MB
  43. Thu Jun 12 20:07:28 2025 reading all ideals from disk
  44. Thu Jun 12 20:07:49 2025 memory use: 35662.7 MB
  45. Thu Jun 12 20:09:13 2025 keeping 623304719 ideals with weight <= 200, target excess is 3623040
  46. Thu Jun 12 20:10:58 2025 commencing in-memory singleton removal
  47. Thu Jun 12 20:11:05 2025 begin with 709097558 relations and 623304719 unique ideals
  48. Thu Jun 12 20:11:41 2025 reduce to 461023615 relations and 351490429 ideals in 14 passes
  49. Thu Jun 12 20:11:41 2025 max relations containing the same ideal: 163
  50. Thu Jun 12 20:13:23 2025 removing 13426021 relations and 11426021 ideals in 2000000 cliques
  51. Thu Jun 12 20:13:40 2025 commencing in-memory singleton removal
  52. Thu Jun 12 20:13:45 2025 begin with 447597594 relations and 351490429 unique ideals
  53. Thu Jun 12 20:14:02 2025 reduce to 447322090 relations and 339787269 ideals in 7 passes
  54. Thu Jun 12 20:14:02 2025 max relations containing the same ideal: 159
  55. Thu Jun 12 20:15:44 2025 removing 10191162 relations and 8191162 ideals in 2000000 cliques
  56. Thu Jun 12 20:16:00 2025 commencing in-memory singleton removal
  57. Thu Jun 12 20:16:04 2025 begin with 437130928 relations and 339787269 unique ideals
  58. Thu Jun 12 20:16:21 2025 reduce to 436953928 relations and 331418214 ideals in 7 passes
  59. Thu Jun 12 20:16:21 2025 max relations containing the same ideal: 158
  60. Thu Jun 12 20:18:04 2025 removing 9151133 relations and 7151133 ideals in 2000000 cliques
  61. Thu Jun 12 20:18:19 2025 commencing in-memory singleton removal
  62. Thu Jun 12 20:18:23 2025 begin with 427802795 relations and 331418214 unique ideals
  63. Thu Jun 12 20:18:39 2025 reduce to 427650961 relations and 324114492 ideals in 7 passes
  64. Thu Jun 12 20:18:39 2025 max relations containing the same ideal: 155
  65. Thu Jun 12 20:20:30 2025 removing 8549181 relations and 6549181 ideals in 2000000 cliques
  66. Thu Jun 12 20:20:45 2025 commencing in-memory singleton removal
  67. Thu Jun 12 20:20:50 2025 begin with 419101780 relations and 324114492 unique ideals
  68. Thu Jun 12 20:21:06 2025 reduce to 418963988 relations and 317426813 ideals in 6 passes
  69. Thu Jun 12 20:21:06 2025 max relations containing the same ideal: 153
  70. Thu Jun 12 20:23:36 2025 removing 8140236 relations and 6140236 ideals in 2000000 cliques
  71. Thu Jun 12 20:23:52 2025 commencing in-memory singleton removal
  72. Thu Jun 12 20:23:56 2025 begin with 410823752 relations and 317426813 unique ideals
  73. Thu Jun 12 20:24:12 2025 reduce to 410695565 relations and 311157796 ideals in 6 passes
  74. Thu Jun 12 20:24:12 2025 max relations containing the same ideal: 149
  75. Thu Jun 12 20:26:41 2025 removing 7842440 relations and 5842440 ideals in 2000000 cliques
  76. Thu Jun 12 20:26:56 2025 commencing in-memory singleton removal
  77. Thu Jun 12 20:27:00 2025 begin with 402853125 relations and 311157796 unique ideals
  78. Thu Jun 12 20:27:16 2025 reduce to 402730191 relations and 305191840 ideals in 6 passes
  79. Thu Jun 12 20:27:16 2025 max relations containing the same ideal: 146
  80. Thu Jun 12 20:29:42 2025 removing 7609529 relations and 5609529 ideals in 2000000 cliques
  81. Thu Jun 12 20:29:57 2025 commencing in-memory singleton removal
  82. Thu Jun 12 20:30:01 2025 begin with 395120662 relations and 305191840 unique ideals
  83. Thu Jun 12 20:30:18 2025 reduce to 395001796 relations and 299462807 ideals in 7 passes
  84. Thu Jun 12 20:30:18 2025 max relations containing the same ideal: 144
  85. Thu Jun 12 20:32:43 2025 removing 7426588 relations and 5426588 ideals in 2000000 cliques
  86. Thu Jun 12 20:32:58 2025 commencing in-memory singleton removal
  87. Thu Jun 12 20:33:02 2025 begin with 387575208 relations and 299462807 unique ideals
  88. Thu Jun 12 20:33:17 2025 reduce to 387460023 relations and 293920456 ideals in 6 passes
  89. Thu Jun 12 20:33:17 2025 max relations containing the same ideal: 143
  90. Thu Jun 12 20:35:40 2025 removing 7273876 relations and 5273876 ideals in 2000000 cliques
  91. Thu Jun 12 20:35:54 2025 commencing in-memory singleton removal
  92. Thu Jun 12 20:35:58 2025 begin with 380186147 relations and 293920456 unique ideals
  93. Thu Jun 12 20:36:14 2025 reduce to 380072492 relations and 288532369 ideals in 6 passes
  94. Thu Jun 12 20:36:14 2025 max relations containing the same ideal: 141
  95. Thu Jun 12 20:38:33 2025 removing 7151953 relations and 5151953 ideals in 2000000 cliques
  96. Thu Jun 12 20:38:47 2025 commencing in-memory singleton removal
  97. Thu Jun 12 20:38:50 2025 begin with 372920539 relations and 288532369 unique ideals
  98. Thu Jun 12 20:39:05 2025 reduce to 372808678 relations and 283267912 ideals in 6 passes
  99. Thu Jun 12 20:39:06 2025 max relations containing the same ideal: 140
  100. Thu Jun 12 20:40:55 2025 removing 7050786 relations and 5050786 ideals in 2000000 cliques
  101. Thu Jun 12 20:41:08 2025 commencing in-memory singleton removal
  102. Thu Jun 12 20:41:12 2025 begin with 365757892 relations and 283267912 unique ideals
  103. Thu Jun 12 20:41:24 2025 reduce to 365647683 relations and 278106324 ideals in 6 passes
  104. Thu Jun 12 20:41:24 2025 max relations containing the same ideal: 138
  105. Thu Jun 12 20:43:25 2025 removing 6955160 relations and 4955160 ideals in 2000000 cliques
  106. Thu Jun 12 20:43:37 2025 commencing in-memory singleton removal
  107. Thu Jun 12 20:43:41 2025 begin with 358692523 relations and 278106324 unique ideals
  108. Thu Jun 12 20:43:53 2025 reduce to 358583004 relations and 273040999 ideals in 6 passes
  109. Thu Jun 12 20:43:53 2025 max relations containing the same ideal: 137
  110. Thu Jun 12 20:45:25 2025 removing 6879055 relations and 4879055 ideals in 2000000 cliques
  111. Thu Jun 12 20:45:38 2025 commencing in-memory singleton removal
  112. Thu Jun 12 20:45:42 2025 begin with 351703949 relations and 273040999 unique ideals
  113. Thu Jun 12 20:45:55 2025 reduce to 351594662 relations and 268051973 ideals in 6 passes
  114. Thu Jun 12 20:45:55 2025 max relations containing the same ideal: 137
  115. Thu Jun 12 20:48:02 2025 removing 6811601 relations and 4811601 ideals in 2000000 cliques
  116. Thu Jun 12 20:48:15 2025 commencing in-memory singleton removal
  117. Thu Jun 12 20:48:18 2025 begin with 344783061 relations and 268051973 unique ideals
  118. Thu Jun 12 20:48:32 2025 reduce to 344673883 relations and 263130492 ideals in 6 passes
  119. Thu Jun 12 20:48:32 2025 max relations containing the same ideal: 136
  120. Thu Jun 12 20:50:34 2025 removing 6751448 relations and 4751448 ideals in 2000000 cliques
  121. Thu Jun 12 20:50:46 2025 commencing in-memory singleton removal
  122. Thu Jun 12 20:50:50 2025 begin with 337922435 relations and 263130492 unique ideals
  123. Thu Jun 12 20:51:03 2025 reduce to 337813277 relations and 258269186 ideals in 6 passes
  124. Thu Jun 12 20:51:03 2025 max relations containing the same ideal: 134
  125. Thu Jun 12 20:52:52 2025 removing 6700415 relations and 4700415 ideals in 2000000 cliques
  126. Thu Jun 12 20:53:04 2025 commencing in-memory singleton removal
  127. Thu Jun 12 20:53:07 2025 begin with 331112862 relations and 258269186 unique ideals
  128. Thu Jun 12 20:53:21 2025 reduce to 331002986 relations and 253458151 ideals in 6 passes
  129. Thu Jun 12 20:53:21 2025 max relations containing the same ideal: 133
  130. Thu Jun 12 20:55:00 2025 removing 6653799 relations and 4653799 ideals in 2000000 cliques
  131. Thu Jun 12 20:55:12 2025 commencing in-memory singleton removal
  132. Thu Jun 12 20:55:15 2025 begin with 324349187 relations and 253458151 unique ideals
  133. Thu Jun 12 20:55:27 2025 reduce to 324239134 relations and 248693521 ideals in 6 passes
  134. Thu Jun 12 20:55:27 2025 max relations containing the same ideal: 131
  135. Thu Jun 12 20:57:04 2025 removing 6615135 relations and 4615135 ideals in 2000000 cliques
  136. Thu Jun 12 20:57:15 2025 commencing in-memory singleton removal
  137. Thu Jun 12 20:57:18 2025 begin with 317623999 relations and 248693521 unique ideals
  138. Thu Jun 12 20:57:29 2025 reduce to 317512362 relations and 243965940 ideals in 7 passes
  139. Thu Jun 12 20:57:29 2025 max relations containing the same ideal: 128
  140. Thu Jun 12 20:58:46 2025 removing 6581567 relations and 4581567 ideals in 2000000 cliques
  141. Thu Jun 12 20:58:57 2025 commencing in-memory singleton removal
  142. Thu Jun 12 20:59:00 2025 begin with 310930795 relations and 243965940 unique ideals
  143. Thu Jun 12 20:59:10 2025 reduce to 310818226 relations and 239270948 ideals in 6 passes
  144. Thu Jun 12 20:59:10 2025 max relations containing the same ideal: 126
  145. Thu Jun 12 21:00:25 2025 removing 6552646 relations and 4552646 ideals in 2000000 cliques
  146. Thu Jun 12 21:00:37 2025 commencing in-memory singleton removal
  147. Thu Jun 12 21:00:40 2025 begin with 304265580 relations and 239270948 unique ideals
  148. Thu Jun 12 21:00:50 2025 reduce to 304152864 relations and 234604757 ideals in 6 passes
  149. Thu Jun 12 21:00:50 2025 max relations containing the same ideal: 123
  150. Thu Jun 12 21:02:03 2025 removing 6524328 relations and 4524328 ideals in 2000000 cliques
  151. Thu Jun 12 21:02:14 2025 commencing in-memory singleton removal
  152. Thu Jun 12 21:02:17 2025 begin with 297628536 relations and 234604757 unique ideals
  153. Thu Jun 12 21:02:27 2025 reduce to 297512925 relations and 229963896 ideals in 7 passes
  154. Thu Jun 12 21:02:27 2025 max relations containing the same ideal: 121
  155. Thu Jun 12 21:03:48 2025 removing 6499604 relations and 4499604 ideals in 2000000 cliques
  156. Thu Jun 12 21:03:59 2025 commencing in-memory singleton removal
  157. Thu Jun 12 21:04:02 2025 begin with 291013321 relations and 229963896 unique ideals
  158. Thu Jun 12 21:04:14 2025 reduce to 290896349 relations and 225346376 ideals in 6 passes
  159. Thu Jun 12 21:04:14 2025 max relations containing the same ideal: 119
  160. Thu Jun 12 21:06:04 2025 removing 6478829 relations and 4478829 ideals in 2000000 cliques
  161. Thu Jun 12 21:06:15 2025 commencing in-memory singleton removal
  162. Thu Jun 12 21:06:18 2025 begin with 284417520 relations and 225346376 unique ideals
  163. Thu Jun 12 21:06:29 2025 reduce to 284298878 relations and 220747889 ideals in 6 passes
  164. Thu Jun 12 21:06:29 2025 max relations containing the same ideal: 119
  165. Thu Jun 12 21:07:41 2025 removing 6465365 relations and 4465365 ideals in 2000000 cliques
  166. Thu Jun 12 21:07:51 2025 commencing in-memory singleton removal
  167. Thu Jun 12 21:07:54 2025 begin with 277833513 relations and 220747889 unique ideals
  168. Thu Jun 12 21:08:03 2025 reduce to 277712162 relations and 216160091 ideals in 6 passes
  169. Thu Jun 12 21:08:03 2025 max relations containing the same ideal: 116
  170. Thu Jun 12 21:09:17 2025 removing 6449366 relations and 4449366 ideals in 2000000 cliques
  171. Thu Jun 12 21:09:27 2025 commencing in-memory singleton removal
  172. Thu Jun 12 21:09:30 2025 begin with 271262796 relations and 216160091 unique ideals
  173. Thu Jun 12 21:09:38 2025 reduce to 271140290 relations and 211587187 ideals in 5 passes
  174. Thu Jun 12 21:09:38 2025 max relations containing the same ideal: 115
  175. Thu Jun 12 21:11:12 2025 removing 6441466 relations and 4441466 ideals in 2000000 cliques
  176. Thu Jun 12 21:11:22 2025 commencing in-memory singleton removal
  177. Thu Jun 12 21:11:25 2025 begin with 264698824 relations and 211587187 unique ideals
  178. Thu Jun 12 21:11:35 2025 reduce to 264574629 relations and 207020382 ideals in 7 passes
  179. Thu Jun 12 21:11:35 2025 max relations containing the same ideal: 112
  180. Thu Jun 12 21:13:15 2025 removing 6433334 relations and 4433334 ideals in 2000000 cliques
  181. Thu Jun 12 21:13:25 2025 commencing in-memory singleton removal
  182. Thu Jun 12 21:13:27 2025 begin with 258141295 relations and 207020382 unique ideals
  183. Thu Jun 12 21:13:38 2025 reduce to 258014058 relations and 202458645 ideals in 7 passes
  184. Thu Jun 12 21:13:38 2025 max relations containing the same ideal: 111
  185. Thu Jun 12 21:14:55 2025 removing 6422937 relations and 4422937 ideals in 2000000 cliques
  186. Thu Jun 12 21:15:05 2025 commencing in-memory singleton removal
  187. Thu Jun 12 21:15:07 2025 begin with 251591121 relations and 202458645 unique ideals
  188. Thu Jun 12 21:15:16 2025 reduce to 251461027 relations and 197904377 ideals in 6 passes
  189. Thu Jun 12 21:15:16 2025 max relations containing the same ideal: 108
  190. Thu Jun 12 21:16:55 2025 removing 6423808 relations and 4423808 ideals in 2000000 cliques
  191. Thu Jun 12 21:17:04 2025 commencing in-memory singleton removal
  192. Thu Jun 12 21:17:06 2025 begin with 245037219 relations and 197904377 unique ideals
  193. Thu Jun 12 21:17:15 2025 reduce to 244904244 relations and 193346311 ideals in 6 passes
  194. Thu Jun 12 21:17:15 2025 max relations containing the same ideal: 106
  195. Thu Jun 12 21:18:45 2025 removing 6422992 relations and 4422992 ideals in 2000000 cliques
  196. Thu Jun 12 21:18:54 2025 commencing in-memory singleton removal
  197. Thu Jun 12 21:18:56 2025 begin with 238481252 relations and 193346311 unique ideals
  198. Thu Jun 12 21:19:04 2025 reduce to 238346343 relations and 188786978 ideals in 6 passes
  199. Thu Jun 12 21:19:04 2025 max relations containing the same ideal: 104
  200. Thu Jun 12 21:20:40 2025 removing 6423748 relations and 4423748 ideals in 2000000 cliques
  201. Thu Jun 12 21:20:48 2025 commencing in-memory singleton removal
  202. Thu Jun 12 21:20:50 2025 begin with 231922595 relations and 188786978 unique ideals
  203. Thu Jun 12 21:20:59 2025 reduce to 231783936 relations and 184223150 ideals in 6 passes
  204. Thu Jun 12 21:20:59 2025 max relations containing the same ideal: 103
  205. Thu Jun 12 21:22:30 2025 removing 6428984 relations and 4428984 ideals in 2000000 cliques
  206. Thu Jun 12 21:22:39 2025 commencing in-memory singleton removal
  207. Thu Jun 12 21:22:41 2025 begin with 225354952 relations and 184223150 unique ideals
  208. Thu Jun 12 21:22:49 2025 reduce to 225212215 relations and 179649989 ideals in 6 passes
  209. Thu Jun 12 21:22:49 2025 max relations containing the same ideal: 103
  210. Thu Jun 12 21:24:18 2025 removing 6437006 relations and 4437006 ideals in 2000000 cliques
  211. Thu Jun 12 21:24:26 2025 commencing in-memory singleton removal
  212. Thu Jun 12 21:24:28 2025 begin with 218775209 relations and 179649989 unique ideals
  213. Thu Jun 12 21:24:35 2025 reduce to 218628645 relations and 175064894 ideals in 6 passes
  214. Thu Jun 12 21:24:35 2025 max relations containing the same ideal: 101
  215. Thu Jun 12 21:26:01 2025 removing 6447339 relations and 4447339 ideals in 2000000 cliques
  216. Thu Jun 12 21:26:09 2025 commencing in-memory singleton removal
  217. Thu Jun 12 21:26:11 2025 begin with 212181306 relations and 175064894 unique ideals
  218. Thu Jun 12 21:26:18 2025 reduce to 212029863 relations and 170464386 ideals in 7 passes
  219. Thu Jun 12 21:26:18 2025 max relations containing the same ideal: 95
  220. Thu Jun 12 21:27:42 2025 removing 6456947 relations and 4456947 ideals in 2000000 cliques
  221. Thu Jun 12 21:27:50 2025 commencing in-memory singleton removal
  222. Thu Jun 12 21:27:52 2025 begin with 205572916 relations and 170464386 unique ideals
  223. Thu Jun 12 21:27:59 2025 reduce to 205417565 relations and 165850317 ideals in 7 passes
  224. Thu Jun 12 21:27:59 2025 max relations containing the same ideal: 93
  225. Thu Jun 12 21:29:21 2025 removing 6471302 relations and 4471302 ideals in 2000000 cliques
  226. Thu Jun 12 21:29:29 2025 commencing in-memory singleton removal
  227. Thu Jun 12 21:29:30 2025 begin with 198946263 relations and 165850317 unique ideals
  228. Thu Jun 12 21:29:37 2025 reduce to 198786005 relations and 161216950 ideals in 6 passes
  229. Thu Jun 12 21:29:37 2025 max relations containing the same ideal: 92
  230. Thu Jun 12 21:30:54 2025 removing 6489628 relations and 4489628 ideals in 2000000 cliques
  231. Thu Jun 12 21:31:01 2025 commencing in-memory singleton removal
  232. Thu Jun 12 21:31:03 2025 begin with 192296377 relations and 161216950 unique ideals
  233. Thu Jun 12 21:31:09 2025 reduce to 192130366 relations and 156559350 ideals in 6 passes
  234. Thu Jun 12 21:31:09 2025 max relations containing the same ideal: 89
  235. Thu Jun 12 21:32:21 2025 removing 6508505 relations and 4508505 ideals in 2000000 cliques
  236. Thu Jun 12 21:32:28 2025 commencing in-memory singleton removal
  237. Thu Jun 12 21:32:30 2025 begin with 185621861 relations and 156559350 unique ideals
  238. Thu Jun 12 21:32:36 2025 reduce to 185450693 relations and 151877564 ideals in 6 passes
  239. Thu Jun 12 21:32:36 2025 max relations containing the same ideal: 86
  240. Thu Jun 12 21:33:48 2025 removing 6530159 relations and 4530159 ideals in 2000000 cliques
  241. Thu Jun 12 21:33:55 2025 commencing in-memory singleton removal
  242. Thu Jun 12 21:33:56 2025 begin with 178920534 relations and 151877564 unique ideals
  243. Thu Jun 12 21:34:03 2025 reduce to 178742131 relations and 147166814 ideals in 7 passes
  244. Thu Jun 12 21:34:03 2025 max relations containing the same ideal: 85
  245. Thu Jun 12 21:35:03 2025 removing 6555795 relations and 4555795 ideals in 2000000 cliques
  246. Thu Jun 12 21:35:10 2025 commencing in-memory singleton removal
  247. Thu Jun 12 21:35:11 2025 begin with 172186336 relations and 147166814 unique ideals
  248. Thu Jun 12 21:35:17 2025 reduce to 172002379 relations and 142424821 ideals in 6 passes
  249. Thu Jun 12 21:35:17 2025 max relations containing the same ideal: 83
  250. Thu Jun 12 21:36:23 2025 removing 6584666 relations and 4584666 ideals in 2000000 cliques
  251. Thu Jun 12 21:36:30 2025 commencing in-memory singleton removal
  252. Thu Jun 12 21:36:31 2025 begin with 165417713 relations and 142424821 unique ideals
  253. Thu Jun 12 21:36:37 2025 reduce to 165225851 relations and 137645769 ideals in 6 passes
  254. Thu Jun 12 21:36:37 2025 max relations containing the same ideal: 82
  255. Thu Jun 12 21:37:37 2025 removing 6616880 relations and 4616880 ideals in 2000000 cliques
  256. Thu Jun 12 21:37:43 2025 commencing in-memory singleton removal
  257. Thu Jun 12 21:37:45 2025 begin with 158608971 relations and 137645769 unique ideals
  258. Thu Jun 12 21:37:50 2025 reduce to 158410109 relations and 132827333 ideals in 6 passes
  259. Thu Jun 12 21:37:50 2025 max relations containing the same ideal: 79
  260. Thu Jun 12 21:38:47 2025 removing 6650969 relations and 4650969 ideals in 2000000 cliques
  261. Thu Jun 12 21:38:53 2025 commencing in-memory singleton removal
  262. Thu Jun 12 21:38:54 2025 begin with 151759140 relations and 132827333 unique ideals
  263. Thu Jun 12 21:38:59 2025 reduce to 151549726 relations and 127964070 ideals in 6 passes
  264. Thu Jun 12 21:38:59 2025 max relations containing the same ideal: 77
  265. Thu Jun 12 21:39:51 2025 removing 6690341 relations and 4690341 ideals in 2000000 cliques
  266. Thu Jun 12 21:39:57 2025 commencing in-memory singleton removal
  267. Thu Jun 12 21:39:58 2025 begin with 144859385 relations and 127964070 unique ideals
  268. Thu Jun 12 21:40:03 2025 reduce to 144640461 relations and 123051798 ideals in 6 passes
  269. Thu Jun 12 21:40:03 2025 max relations containing the same ideal: 76
  270. Thu Jun 12 21:40:54 2025 removing 6731225 relations and 4731225 ideals in 2000000 cliques
  271. Thu Jun 12 21:41:00 2025 commencing in-memory singleton removal
  272. Thu Jun 12 21:41:01 2025 begin with 137909236 relations and 123051798 unique ideals
  273. Thu Jun 12 21:41:06 2025 reduce to 137678661 relations and 118086855 ideals in 7 passes
  274. Thu Jun 12 21:41:06 2025 max relations containing the same ideal: 75
  275. Thu Jun 12 21:41:46 2025 removing 6780148 relations and 4780148 ideals in 2000000 cliques
  276. Thu Jun 12 21:41:52 2025 commencing in-memory singleton removal
  277. Thu Jun 12 21:41:53 2025 begin with 130898513 relations and 118086855 unique ideals
  278. Thu Jun 12 21:41:58 2025 reduce to 130656549 relations and 113061255 ideals in 7 passes
  279. Thu Jun 12 21:41:58 2025 max relations containing the same ideal: 72
  280. Thu Jun 12 21:42:33 2025 removing 6830898 relations and 4830898 ideals in 2000000 cliques
  281. Thu Jun 12 21:42:38 2025 commencing in-memory singleton removal
  282. Thu Jun 12 21:42:39 2025 begin with 123825651 relations and 113061255 unique ideals
  283. Thu Jun 12 21:42:43 2025 reduce to 123568727 relations and 107969671 ideals in 7 passes
  284. Thu Jun 12 21:42:43 2025 max relations containing the same ideal: 70
  285. Thu Jun 12 21:43:17 2025 removing 6889767 relations and 4889767 ideals in 2000000 cliques
  286. Thu Jun 12 21:43:22 2025 commencing in-memory singleton removal
  287. Thu Jun 12 21:43:23 2025 begin with 116678960 relations and 107969671 unique ideals
  288. Thu Jun 12 21:43:27 2025 reduce to 116403928 relations and 102800679 ideals in 7 passes
  289. Thu Jun 12 21:43:27 2025 max relations containing the same ideal: 68
  290. Thu Jun 12 21:43:58 2025 removing 6948024 relations and 4948024 ideals in 2000000 cliques
  291. Thu Jun 12 21:44:03 2025 commencing in-memory singleton removal
  292. Thu Jun 12 21:44:04 2025 begin with 109455904 relations and 102800679 unique ideals
  293. Thu Jun 12 21:44:07 2025 reduce to 109163423 relations and 97555581 ideals in 7 passes
  294. Thu Jun 12 21:44:07 2025 max relations containing the same ideal: 67
  295. Thu Jun 12 21:44:37 2025 removing 7016612 relations and 5016612 ideals in 2000000 cliques
  296. Thu Jun 12 21:44:42 2025 commencing in-memory singleton removal
  297. Thu Jun 12 21:44:43 2025 begin with 102146811 relations and 97555581 unique ideals
  298. Thu Jun 12 21:44:46 2025 reduce to 101829415 relations and 92216365 ideals in 7 passes
  299. Thu Jun 12 21:44:46 2025 max relations containing the same ideal: 66
  300. Thu Jun 12 21:45:20 2025 removing 7088889 relations and 5088889 ideals in 2000000 cliques
  301. Thu Jun 12 21:45:24 2025 commencing in-memory singleton removal
  302. Thu Jun 12 21:45:25 2025 begin with 94740526 relations and 92216365 unique ideals
  303. Thu Jun 12 21:45:29 2025 reduce to 94392002 relations and 86773134 ideals in 7 passes
  304. Thu Jun 12 21:45:29 2025 max relations containing the same ideal: 59
  305. Thu Jun 12 21:45:55 2025 removing 7178601 relations and 5178601 ideals in 2000000 cliques
  306. Thu Jun 12 21:45:59 2025 commencing in-memory singleton removal
  307. Thu Jun 12 21:46:00 2025 begin with 87213401 relations and 86773134 unique ideals
  308. Thu Jun 12 21:46:03 2025 reduce to 86829770 relations and 81203816 ideals in 7 passes
  309. Thu Jun 12 21:46:03 2025 max relations containing the same ideal: 57
  310. Thu Jun 12 21:46:27 2025 removing 5485951 relations and 4062724 ideals in 1423227 cliques
  311. Thu Jun 12 21:46:31 2025 commencing in-memory singleton removal
  312. Thu Jun 12 21:46:32 2025 begin with 81343819 relations and 81203816 unique ideals
  313. Thu Jun 12 21:46:35 2025 reduce to 81098283 relations and 76892016 ideals in 7 passes
  314. Thu Jun 12 21:46:35 2025 max relations containing the same ideal: 56
  315. Thu Jun 12 21:47:08 2025 relations with 0 large ideals: 137599
  316. Thu Jun 12 21:47:08 2025 relations with 1 large ideals: 173487
  317. Thu Jun 12 21:47:08 2025 relations with 2 large ideals: 1769219
  318. Thu Jun 12 21:47:08 2025 relations with 3 large ideals: 7577081
  319. Thu Jun 12 21:47:08 2025 relations with 4 large ideals: 17015318
  320. Thu Jun 12 21:47:08 2025 relations with 5 large ideals: 22380285
  321. Thu Jun 12 21:47:08 2025 relations with 6 large ideals: 18191872
  322. Thu Jun 12 21:47:08 2025 relations with 7+ large ideals: 13853422
  323. Thu Jun 12 21:47:08 2025 commencing 2-way merge
  324. Thu Jun 12 21:47:43 2025 reduce to 51726878 relation sets and 47520611 unique ideals
  325. Thu Jun 12 21:47:43 2025 commencing full merge
  326. Thu Jun 12 22:07:30 2025 memory use: 5888.8 MB
  327. Thu Jun 12 22:07:37 2025 found 24517702 cycles, need 23984811
  328. Thu Jun 12 22:07:49 2025 weight of 23984811 cycles is about 2638507686 (110.01/cycle)
  329. Thu Jun 12 22:07:49 2025 distribution of cycle lengths:
  330. Thu Jun 12 22:07:49 2025 1 relations: 1341446
  331. Thu Jun 12 22:07:49 2025 2 relations: 1630882
  332. Thu Jun 12 22:07:49 2025 3 relations: 1853913
  333. Thu Jun 12 22:07:49 2025 4 relations: 1911054
  334. Thu Jun 12 22:07:49 2025 5 relations: 1949488
  335. Thu Jun 12 22:07:49 2025 6 relations: 1947636
  336. Thu Jun 12 22:07:49 2025 7 relations: 1894881
  337. Thu Jun 12 22:07:49 2025 8 relations: 1800549
  338. Thu Jun 12 22:07:49 2025 9 relations: 1672978
  339. Thu Jun 12 22:07:49 2025 10+ relations: 7981984
  340. Thu Jun 12 22:07:49 2025 heaviest cycle: 25 relations
  341. Thu Jun 12 22:08:09 2025 commencing cycle optimization
  342. Thu Jun 12 22:09:21 2025 start with 186794288 relations
  343. Thu Jun 12 22:20:08 2025 pruned 7416577 relations
  344. Thu Jun 12 22:20:09 2025 memory use: 5243.8 MB
  345. Thu Jun 12 22:20:09 2025 distribution of cycle lengths:
  346. Thu Jun 12 22:20:09 2025 1 relations: 1341446
  347. Thu Jun 12 22:20:09 2025 2 relations: 1670005
  348. Thu Jun 12 22:20:09 2025 3 relations: 1929387
  349. Thu Jun 12 22:20:09 2025 4 relations: 1987265
  350. Thu Jun 12 22:20:09 2025 5 relations: 2044814
  351. Thu Jun 12 22:20:09 2025 6 relations: 2038359
  352. Thu Jun 12 22:20:09 2025 7 relations: 1991585
  353. Thu Jun 12 22:20:09 2025 8 relations: 1881653
  354. Thu Jun 12 22:20:09 2025 9 relations: 1741541
  355. Thu Jun 12 22:20:09 2025 10+ relations: 7358756
  356. Thu Jun 12 22:20:09 2025 heaviest cycle: 24 relations
  357. Thu Jun 12 22:21:13 2025 RelProcTime: 10787
  358. Thu Jun 12 22:21:13 2025 elapsed time 02:59:48
  359. Thu Jun 12 22:21:25 2025
  360. Thu Jun 12 22:21:25 2025
  361. Thu Jun 12 22:21:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  362. Thu Jun 12 22:21:25 2025 random seeds: 49358e2e 8fa8a756
  363. Thu Jun 12 22:21:25 2025 MPI process 0 of 1
  364. Thu Jun 12 22:21:25 2025 Using 46 OpenMP threads
  365. Thu Jun 12 22:21:25 2025 factoring 2480941402589284737750489164604872685901479020895310041911431140951549210797422461267850521361394431270349972375622615521194420204210400359569515879540467823791197390884801243620407511105443752087501311863366290839381411 (220 digits)
  366. Thu Jun 12 22:21:26 2025 no P-1/P+1/ECM available, skipping
  367. Thu Jun 12 22:21:26 2025 commencing number field sieve (220-digit input)
  368. Thu Jun 12 22:21:26 2025 R0: 19735865111266045462801336986538565776854869527
  369. Thu Jun 12 22:21:26 2025 R1: -2109840582450070658310040166140836617
  370. Thu Jun 12 22:21:26 2025 A0: 14111
  371. Thu Jun 12 22:21:26 2025 A1: 0
  372. Thu Jun 12 22:21:26 2025 A2: 0
  373. Thu Jun 12 22:21:26 2025 A3: 0
  374. Thu Jun 12 22:21:26 2025 A4: 0
  375. Thu Jun 12 22:21:26 2025 A5: 0
  376. Thu Jun 12 22:21:26 2025 A6: 1
  377. Thu Jun 12 22:21:26 2025 skew 4.92, size 1.243e-13, alpha -1.749, combined = 2.397e-14 rroots = 0
  378. Thu Jun 12 22:21:26 2025
  379. Thu Jun 12 22:21:26 2025 commencing linear algebra
  380. Thu Jun 12 22:21:26 2025 using VBITS=128
  381. Thu Jun 12 22:21:26 2025 stopping after matrix build
  382. Thu Jun 12 22:21:26 2025 initialized process (0,0) of 1 x 1 grid
  383. Thu Jun 12 22:21:30 2025 read 23984811 cycles
  384. Thu Jun 12 22:22:41 2025 cycles contain 79002994 unique relations
  385. Thu Jun 12 22:24:25 2025 read 79002994 relations
  386. Thu Jun 12 22:24:32 2025 using 20 quadratic characters above 4294917295
  387. Thu Jun 12 22:24:41 2025 building initial matrix
  388. Thu Jun 12 22:48:14 2025 memory use: 10457.7 MB
  389. Thu Jun 12 22:48:46 2025 read 23984811 cycles
  390. Thu Jun 12 22:48:53 2025 matrix is 23984629 x 23984811 (10494.7 MB) with weight 3064914061 (127.79/col)
  391. Thu Jun 12 22:48:53 2025 sparse part has weight 2487302153 (103.70/col)
  392. Thu Jun 12 22:57:47 2025 filtering completed in 2 passes
  393. Thu Jun 12 22:57:56 2025 matrix is 23981841 x 23982023 (10494.4 MB) with weight 3064797063 (127.80/col)
  394. Thu Jun 12 22:57:56 2025 sparse part has weight 2487251767 (103.71/col)
  395. Thu Jun 12 22:59:19 2025 BLanczosTime: 2273
  396. Thu Jun 12 22:59:19 2025 elapsed time 00:37:54
  397. Thu Jun 12 23:19:48 2025
  398. Thu Jun 12 23:19:48 2025
  399. Thu Jun 12 23:19:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  400. Thu Jun 12 23:19:48 2025 random seeds: efc6eca1 0cae11ec
  401. Thu Jun 12 23:19:48 2025 MPI process 0 of 2
  402. Thu Jun 12 23:19:48 2025 Using 10 OpenMP threads
  403. Thu Jun 12 23:19:48 2025 factoring 2480941402589284737750489164604872685901479020895310041911431140951549210797422461267850521361394431270349972375622615521194420204210400359569515879540467823791197390884801243620407511105443752087501311863366290839381411 (220 digits)
  404. Thu Jun 12 23:19:49 2025 no P-1/P+1/ECM available, skipping
  405. Thu Jun 12 23:19:49 2025 commencing number field sieve (220-digit input)
  406. Thu Jun 12 23:19:49 2025 R0: 19735865111266045462801336986538565776854869527
  407. Thu Jun 12 23:19:49 2025 R1: -2109840582450070658310040166140836617
  408. Thu Jun 12 23:19:49 2025 A0: 14111
  409. Thu Jun 12 23:19:49 2025 A1: 0
  410. Thu Jun 12 23:19:49 2025 A2: 0
  411. Thu Jun 12 23:19:49 2025 A3: 0
  412. Thu Jun 12 23:19:49 2025 A4: 0
  413. Thu Jun 12 23:19:49 2025 A5: 0
  414. Thu Jun 12 23:19:49 2025 A6: 1
  415. Thu Jun 12 23:19:49 2025 skew 4.92, size 1.243e-13, alpha -1.749, combined = 2.397e-14 rroots = 0
  416. Thu Jun 12 23:19:49 2025
  417. Thu Jun 12 23:19:49 2025 commencing linear algebra
  418. Thu Jun 12 23:19:49 2025 using VBITS=256
  419. Thu Jun 12 23:19:49 2025 skipping matrix build
  420. Thu Jun 12 23:19:49 2025 initialized process (0,0) of 1 x 2 grid
  421. Thu Jun 12 23:19:58 2025 matrix starts at (0, 0)
  422. Thu Jun 12 23:20:00 2025 matrix is 23981841 x 11991010 (5247.2 MB) with weight 1532418335 (127.80/col)
  423. Thu Jun 12 23:20:00 2025 sparse part has weight 1243625983 (103.71/col)
  424. Thu Jun 12 23:20:00 2025 saving the first 240 matrix rows for later
  425. Thu Jun 12 23:20:04 2025 matrix includes 256 packed rows
  426. Thu Jun 12 23:20:08 2025 matrix is 23981601 x 11991010 (4881.0 MB) with weight 1143429306 (95.36/col)
  427. Thu Jun 12 23:20:08 2025 sparse part has weight 1087681509 (90.71/col)
  428. Thu Jun 12 23:20:08 2025 using GPU 0 (NVIDIA A100-SXM4-40GB)
  429. Thu Jun 12 23:20:08 2025 selected card has CUDA arch 8.0
  430. Thu Jun 12 23:21:46 2025 commencing Lanczos iteration
  431. Thu Jun 12 23:21:48 2025 memory use: 12460.9 MB
  432. Thu Jun 12 23:22:12 2025 linear algebra at 0.1%, ETA 5h12m
  433. Thu Jun 12 23:22:47 2025 checking every 70000 dimensions, checkpointing every 4690000 dimensions
  434. Fri Jun 13 04:28:58 2025 lanczos halted after 93960 iterations (dim = 23981598)
  435. Fri Jun 13 04:30:45 2025 recovered 33 nontrivial dependencies
  436. Fri Jun 13 04:30:46 2025 BLanczosTime: 18657
  437. Fri Jun 13 04:30:46 2025 elapsed time 05:10:58
  438. Fri Jun 13 04:30:47 2025
  439. Fri Jun 13 04:30:47 2025
  440. Fri Jun 13 04:30:47 2025 Msieve v. 1.54 (SVN Unversioned directory)
  441. Fri Jun 13 04:30:47 2025 random seeds: fac3049a 3be25623
  442. Fri Jun 13 04:30:47 2025 MPI process 0 of 1
  443. Fri Jun 13 04:30:47 2025 Using 32 OpenMP threads
  444. Fri Jun 13 04:30:47 2025 factoring 2480941402589284737750489164604872685901479020895310041911431140951549210797422461267850521361394431270349972375622615521194420204210400359569515879540467823791197390884801243620407511105443752087501311863366290839381411 (220 digits)
  445. Fri Jun 13 04:30:48 2025 no P-1/P+1/ECM available, skipping
  446. Fri Jun 13 04:30:48 2025 commencing number field sieve (220-digit input)
  447. Fri Jun 13 04:30:48 2025 R0: 19735865111266045462801336986538565776854869527
  448. Fri Jun 13 04:30:48 2025 R1: -2109840582450070658310040166140836617
  449. Fri Jun 13 04:30:48 2025 A0: 14111
  450. Fri Jun 13 04:30:48 2025 A1: 0
  451. Fri Jun 13 04:30:48 2025 A2: 0
  452. Fri Jun 13 04:30:48 2025 A3: 0
  453. Fri Jun 13 04:30:48 2025 A4: 0
  454. Fri Jun 13 04:30:48 2025 A5: 0
  455. Fri Jun 13 04:30:48 2025 A6: 1
  456. Fri Jun 13 04:30:48 2025 skew 4.92, size 1.243e-13, alpha -1.749, combined = 2.397e-14 rroots = 0
  457. Fri Jun 13 04:30:48 2025
  458. Fri Jun 13 04:30:48 2025 commencing square root phase
  459. Fri Jun 13 04:30:48 2025 reading relations for dependency 1
  460. Fri Jun 13 04:30:51 2025 read 11994273 cycles
  461. Fri Jun 13 04:31:12 2025 cycles contain 39505434 unique relations
  462. Fri Jun 13 04:32:47 2025 read 39505434 relations
  463. Fri Jun 13 04:35:15 2025 multiplying 39505434 relations
  464. Fri Jun 13 04:37:47 2025 multiply complete, coefficients have about 1093.34 million bits
  465. Fri Jun 13 04:37:51 2025 initial square root is modulo 80251
  466. Fri Jun 13 04:45:28 2025 GCD is N, no factor found
  467. Fri Jun 13 04:45:28 2025 reading relations for dependency 2
  468. Fri Jun 13 04:45:31 2025 read 11990571 cycles
  469. Fri Jun 13 04:45:52 2025 cycles contain 39493812 unique relations
  470. Fri Jun 13 04:47:15 2025 read 39493812 relations
  471. Fri Jun 13 04:49:38 2025 multiplying 39493812 relations
  472. Fri Jun 13 04:52:08 2025 multiply complete, coefficients have about 1093.02 million bits
  473. Fri Jun 13 04:52:11 2025 initial square root is modulo 79999
  474. Fri Jun 13 04:59:54 2025 sqrtTime: 1746
  475. Fri Jun 13 04:59:54 2025 p89 factor: 14023480845932810212595901050714161494682026058270232457571220881755496147450470473074079
  476. Fri Jun 13 04:59:54 2025 p132 factor: 176913380482765449214780967903228412430043286140327474656212409281121699217620514083373305252212163024648307107369890019848712829309
  477. Fri Jun 13 04:59:54 2025 elapsed time 00:29:07
  478.  
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