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C224_150_77.msieve.log

Serge_Batalov
Nov 17th, 2024
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  1. 100 % 907,781,518 Pending: 33,319,620
  2.  
  3. Found 739418497 unique, 168054000 duplicate, and 7 bad relations.
  4. Largest dimension used: 2472 of 3800
  5. Average dimension used: 2256.6 of 3800
  6.  
  7. 100 % 926,038,404 Pending: 11,084,989 <-- merged to cleanedup set
  8.  
  9. Fri Nov 15 11:36:04 2024
  10. Fri Nov 15 11:36:04 2024
  11. Fri Nov 15 11:36:04 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  12. Fri Nov 15 11:36:04 2024 random seeds: 577353be faccaf10
  13. Fri Nov 15 11:36:04 2024 factoring 84083950743405165570863437832832238084935126174691526033829545012248348544957409122967196597261065460266633766622393176065676356273330147122783310278311585993353090446959355270889907132200440914266049083343850538175836533911 (224 digits)
  14. Fri Nov 15 11:36:06 2024 no P-1/P+1/ECM available, skipping
  15. Fri Nov 15 11:36:06 2024 commencing number field sieve (224-digit input)
  16. Fri Nov 15 11:36:06 2024 R0: 9730975341796875000000000000
  17. Fri Nov 15 11:36:06 2024 R1: -145300841439648009494965894021269151109946912557
  18. Fri Nov 15 11:36:06 2024 A0: 75
  19. Fri Nov 15 11:36:06 2024 A1: 0
  20. Fri Nov 15 11:36:06 2024 A2: 0
  21. Fri Nov 15 11:36:06 2024 A3: 0
  22. Fri Nov 15 11:36:06 2024 A4: 0
  23. Fri Nov 15 11:36:06 2024 A5: 0
  24. Fri Nov 15 11:36:06 2024 A6: 32
  25. Fri Nov 15 11:36:06 2024 skew 1.15, size 3.765e-14, alpha 0.455, combined = 9.797e-15 rroots = 0
  26. Fri Nov 15 11:36:06 2024
  27. Fri Nov 15 11:36:06 2024 commencing relation filtering
  28. Fri Nov 15 11:36:06 2024 setting target matrix density to 124.0
  29. Fri Nov 15 11:36:06 2024 estimated available RAM is 1031034.1 MB
  30. Fri Nov 15 11:36:06 2024 commencing duplicate removal, pass 1
  31. Fri Nov 15 13:49:40 2024 skipped 45120 relations with b > 2^32
  32. Fri Nov 15 13:49:40 2024 skipped 9 relations with composite factors
  33. Fri Nov 15 13:49:40 2024 found 35985770 hash collisions in 757660671 relations
  34. Fri Nov 15 13:49:55 2024 added 1218833 free relations
  35. Fri Nov 15 13:49:55 2024 commencing duplicate removal, pass 2
  36. Fri Nov 15 14:04:08 2024 found 5314935 duplicates and 753564569 unique relations
  37. Fri Nov 15 14:04:08 2024 memory use: 2217.5 MB
  38. Fri Nov 15 14:04:08 2024 reading ideals above 720000
  39. Fri Nov 15 14:04:09 2024 commencing singleton removal, initial pass
  40. Fri Nov 15 16:31:42 2024 memory use: 21024.0 MB
  41. Fri Nov 15 16:31:42 2024 reading all ideals from disk
  42. Fri Nov 15 16:31:55 2024 memory use: 39017.3 MB
  43. Fri Nov 15 16:33:06 2024 keeping 662629877 ideals with weight <= 200, target excess is 4000456
  44. Fri Nov 15 16:34:34 2024 commencing in-memory singleton removal
  45. Fri Nov 15 16:36:08 2024 begin with 753564569 relations and 662629877 unique ideals
  46. Fri Nov 15 16:44:10 2024 reduce to 511761672 relations and 398021831 ideals in 15 passes
  47. Fri Nov 15 16:44:10 2024 max relations containing the same ideal: 168
  48. Fri Nov 15 16:47:01 2024 removing 14542764 relations and 12542764 ideals in 2000000 cliques
  49. Fri Nov 15 16:47:15 2024 commencing in-memory singleton removal
  50. Fri Nov 15 16:47:59 2024 begin with 497218908 relations and 398021831 unique ideals
  51. Fri Nov 15 16:51:31 2024 reduce to 496909577 relations and 385167903 ideals in 8 passes
  52. Fri Nov 15 16:51:31 2024 max relations containing the same ideal: 164
  53. Fri Nov 15 16:54:16 2024 removing 10963857 relations and 8963857 ideals in 2000000 cliques
  54. Fri Nov 15 16:54:29 2024 commencing in-memory singleton removal
  55. Fri Nov 15 16:55:12 2024 begin with 485945720 relations and 385167903 unique ideals
  56. Fri Nov 15 16:57:48 2024 reduce to 485751730 relations and 376009138 ideals in 6 passes
  57. Fri Nov 15 16:57:48 2024 max relations containing the same ideal: 162
  58. Fri Nov 15 17:00:29 2024 removing 9814598 relations and 7814598 ideals in 2000000 cliques
  59. Fri Nov 15 17:00:41 2024 commencing in-memory singleton removal
  60. Fri Nov 15 17:01:23 2024 begin with 475937132 relations and 376009138 unique ideals
  61. Fri Nov 15 17:04:21 2024 reduce to 475773819 relations and 368030433 ideals in 7 passes
  62. Fri Nov 15 17:04:21 2024 max relations containing the same ideal: 160
  63. Fri Nov 15 17:06:58 2024 removing 9143191 relations and 7143191 ideals in 2000000 cliques
  64. Fri Nov 15 17:07:10 2024 commencing in-memory singleton removal
  65. Fri Nov 15 17:07:51 2024 begin with 466630628 relations and 368030433 unique ideals
  66. Fri Nov 15 17:10:45 2024 reduce to 466484830 relations and 360740790 ideals in 7 passes
  67. Fri Nov 15 17:10:45 2024 max relations containing the same ideal: 159
  68. Fri Nov 15 17:13:19 2024 removing 8690387 relations and 6690387 ideals in 2000000 cliques
  69. Fri Nov 15 17:13:31 2024 commencing in-memory singleton removal
  70. Fri Nov 15 17:14:12 2024 begin with 457794443 relations and 360740790 unique ideals
  71. Fri Nov 15 17:16:38 2024 reduce to 457657216 relations and 353912557 ideals in 6 passes
  72. Fri Nov 15 17:16:38 2024 max relations containing the same ideal: 158
  73. Fri Nov 15 17:19:10 2024 removing 8352768 relations and 6352768 ideals in 2000000 cliques
  74. Fri Nov 15 17:19:21 2024 commencing in-memory singleton removal
  75. Fri Nov 15 17:20:01 2024 begin with 449304448 relations and 353912557 unique ideals
  76. Fri Nov 15 17:22:24 2024 reduce to 449174877 relations and 347429605 ideals in 6 passes
  77. Fri Nov 15 17:22:24 2024 max relations containing the same ideal: 156
  78. Fri Nov 15 17:24:53 2024 removing 8092905 relations and 6092905 ideals in 2000000 cliques
  79. Fri Nov 15 17:25:05 2024 commencing in-memory singleton removal
  80. Fri Nov 15 17:25:44 2024 begin with 441081972 relations and 347429605 unique ideals
  81. Fri Nov 15 17:28:28 2024 reduce to 440958290 relations and 341212446 ideals in 7 passes
  82. Fri Nov 15 17:28:28 2024 max relations containing the same ideal: 152
  83. Fri Nov 15 17:30:54 2024 removing 7885844 relations and 5885844 ideals in 2000000 cliques
  84. Fri Nov 15 17:31:05 2024 commencing in-memory singleton removal
  85. Fri Nov 15 17:31:44 2024 begin with 433072446 relations and 341212446 unique ideals
  86. Fri Nov 15 17:34:24 2024 reduce to 432952308 relations and 335205904 ideals in 7 passes
  87. Fri Nov 15 17:34:24 2024 max relations containing the same ideal: 150
  88. Fri Nov 15 17:36:48 2024 removing 7712557 relations and 5712557 ideals in 2000000 cliques
  89. Fri Nov 15 17:36:59 2024 commencing in-memory singleton removal
  90. Fri Nov 15 17:37:36 2024 begin with 425239751 relations and 335205904 unique ideals
  91. Fri Nov 15 17:39:51 2024 reduce to 425122424 relations and 329375462 ideals in 6 passes
  92. Fri Nov 15 17:39:51 2024 max relations containing the same ideal: 149
  93. Fri Nov 15 17:42:12 2024 removing 7569560 relations and 5569560 ideals in 2000000 cliques
  94. Fri Nov 15 17:42:23 2024 commencing in-memory singleton removal
  95. Fri Nov 15 17:43:00 2024 begin with 417552864 relations and 329375462 unique ideals
  96. Fri Nov 15 17:45:12 2024 reduce to 417437157 relations and 323689667 ideals in 6 passes
  97. Fri Nov 15 17:45:12 2024 max relations containing the same ideal: 147
  98. Fri Nov 15 17:47:31 2024 removing 7445624 relations and 5445624 ideals in 2000000 cliques
  99. Fri Nov 15 17:47:42 2024 commencing in-memory singleton removal
  100. Fri Nov 15 17:48:18 2024 begin with 409991533 relations and 323689667 unique ideals
  101. Fri Nov 15 17:50:27 2024 reduce to 409877609 relations and 318129573 ideals in 6 passes
  102. Fri Nov 15 17:50:27 2024 max relations containing the same ideal: 146
  103. Fri Nov 15 17:52:44 2024 removing 7347547 relations and 5347547 ideals in 2000000 cliques
  104. Fri Nov 15 17:52:54 2024 commencing in-memory singleton removal
  105. Fri Nov 15 17:53:30 2024 begin with 402530062 relations and 318129573 unique ideals
  106. Fri Nov 15 17:55:38 2024 reduce to 402417698 relations and 312669092 ideals in 6 passes
  107. Fri Nov 15 17:55:38 2024 max relations containing the same ideal: 141
  108. Fri Nov 15 17:57:52 2024 removing 7251570 relations and 5251570 ideals in 2000000 cliques
  109. Fri Nov 15 17:58:02 2024 commencing in-memory singleton removal
  110. Fri Nov 15 17:58:36 2024 begin with 395166128 relations and 312669092 unique ideals
  111. Fri Nov 15 18:01:02 2024 reduce to 395053306 relations and 307304130 ideals in 7 passes
  112. Fri Nov 15 18:01:02 2024 max relations containing the same ideal: 140
  113. Fri Nov 15 18:03:14 2024 removing 7175672 relations and 5175672 ideals in 2000000 cliques
  114. Fri Nov 15 18:03:24 2024 commencing in-memory singleton removal
  115. Fri Nov 15 18:03:58 2024 begin with 387877634 relations and 307304130 unique ideals
  116. Fri Nov 15 18:06:01 2024 reduce to 387766481 relations and 302016688 ideals in 6 passes
  117. Fri Nov 15 18:06:01 2024 max relations containing the same ideal: 138
  118. Fri Nov 15 18:08:10 2024 removing 7108090 relations and 5108090 ideals in 2000000 cliques
  119. Fri Nov 15 18:08:20 2024 commencing in-memory singleton removal
  120. Fri Nov 15 18:08:53 2024 begin with 380658391 relations and 302016688 unique ideals
  121. Fri Nov 15 18:10:54 2024 reduce to 380546283 relations and 296795846 ideals in 6 passes
  122. Fri Nov 15 18:10:54 2024 max relations containing the same ideal: 137
  123. Fri Nov 15 18:13:02 2024 removing 7043365 relations and 5043365 ideals in 2000000 cliques
  124. Fri Nov 15 18:13:12 2024 commencing in-memory singleton removal
  125. Fri Nov 15 18:13:44 2024 begin with 373502918 relations and 296795846 unique ideals
  126. Fri Nov 15 18:15:42 2024 reduce to 373390943 relations and 291639866 ideals in 6 passes
  127. Fri Nov 15 18:15:42 2024 max relations containing the same ideal: 137
  128. Fri Nov 15 18:17:47 2024 removing 6995172 relations and 4995172 ideals in 2000000 cliques
  129. Fri Nov 15 18:17:57 2024 commencing in-memory singleton removal
  130. Fri Nov 15 18:18:28 2024 begin with 366395771 relations and 291639866 unique ideals
  131. Fri Nov 15 18:20:24 2024 reduce to 366284384 relations and 286532614 ideals in 6 passes
  132. Fri Nov 15 18:20:24 2024 max relations containing the same ideal: 135
  133. Fri Nov 15 18:22:27 2024 removing 6950301 relations and 4950301 ideals in 2000000 cliques
  134. Fri Nov 15 18:22:36 2024 commencing in-memory singleton removal
  135. Fri Nov 15 18:23:07 2024 begin with 359334083 relations and 286532614 unique ideals
  136. Fri Nov 15 18:25:00 2024 reduce to 359221476 relations and 281468988 ideals in 6 passes
  137. Fri Nov 15 18:25:00 2024 max relations containing the same ideal: 133
  138. Fri Nov 15 18:27:01 2024 removing 6907249 relations and 4907249 ideals in 2000000 cliques
  139. Fri Nov 15 18:27:10 2024 commencing in-memory singleton removal
  140. Fri Nov 15 18:27:40 2024 begin with 352314227 relations and 281468988 unique ideals
  141. Fri Nov 15 18:29:30 2024 reduce to 352200612 relations and 276447445 ideals in 6 passes
  142. Fri Nov 15 18:29:30 2024 max relations containing the same ideal: 132
  143. Fri Nov 15 18:31:29 2024 removing 6871878 relations and 4871878 ideals in 2000000 cliques
  144. Fri Nov 15 18:31:38 2024 commencing in-memory singleton removal
  145. Fri Nov 15 18:32:07 2024 begin with 345328734 relations and 276447445 unique ideals
  146. Fri Nov 15 18:33:55 2024 reduce to 345214642 relations and 271460723 ideals in 6 passes
  147. Fri Nov 15 18:33:55 2024 max relations containing the same ideal: 130
  148. Fri Nov 15 18:35:52 2024 removing 6835807 relations and 4835807 ideals in 2000000 cliques
  149. Fri Nov 15 18:36:01 2024 commencing in-memory singleton removal
  150. Fri Nov 15 18:36:31 2024 begin with 338378835 relations and 271460723 unique ideals
  151. Fri Nov 15 18:38:17 2024 reduce to 338263906 relations and 266509188 ideals in 6 passes
  152. Fri Nov 15 18:38:17 2024 max relations containing the same ideal: 128
  153. Fri Nov 15 18:40:11 2024 removing 6808684 relations and 4808684 ideals in 2000000 cliques
  154. Fri Nov 15 18:40:20 2024 commencing in-memory singleton removal
  155. Fri Nov 15 18:40:48 2024 begin with 331455222 relations and 266509188 unique ideals
  156. Fri Nov 15 18:42:32 2024 reduce to 331338432 relations and 261582994 ideals in 6 passes
  157. Fri Nov 15 18:42:32 2024 max relations containing the same ideal: 128
  158. Fri Nov 15 18:44:24 2024 removing 6784519 relations and 4784519 ideals in 2000000 cliques
  159. Fri Nov 15 18:44:32 2024 commencing in-memory singleton removal
  160. Fri Nov 15 18:45:00 2024 begin with 324553913 relations and 261582994 unique ideals
  161. Fri Nov 15 18:46:41 2024 reduce to 324435390 relations and 256679157 ideals in 6 passes
  162. Fri Nov 15 18:46:41 2024 max relations containing the same ideal: 127
  163. Fri Nov 15 18:48:31 2024 removing 6767781 relations and 4767781 ideals in 2000000 cliques
  164. Fri Nov 15 18:48:40 2024 commencing in-memory singleton removal
  165. Fri Nov 15 18:49:07 2024 begin with 317667609 relations and 256679157 unique ideals
  166. Fri Nov 15 18:51:01 2024 reduce to 317547724 relations and 251790567 ideals in 7 passes
  167. Fri Nov 15 18:51:01 2024 max relations containing the same ideal: 123
  168. Fri Nov 15 18:52:49 2024 removing 6745223 relations and 4745223 ideals in 2000000 cliques
  169. Fri Nov 15 18:52:58 2024 commencing in-memory singleton removal
  170. Fri Nov 15 18:53:24 2024 begin with 310802501 relations and 251790567 unique ideals
  171. Fri Nov 15 18:55:00 2024 reduce to 310681190 relations and 246923117 ideals in 6 passes
  172. Fri Nov 15 18:55:00 2024 max relations containing the same ideal: 122
  173. Fri Nov 15 18:56:47 2024 removing 6732635 relations and 4732635 ideals in 2000000 cliques
  174. Fri Nov 15 18:56:55 2024 commencing in-memory singleton removal
  175. Fri Nov 15 18:57:20 2024 begin with 303948555 relations and 246923117 unique ideals
  176. Fri Nov 15 18:59:10 2024 reduce to 303825474 relations and 242066498 ideals in 7 passes
  177. Fri Nov 15 18:59:10 2024 max relations containing the same ideal: 121
  178. Fri Nov 15 19:00:54 2024 removing 6719923 relations and 4719923 ideals in 2000000 cliques
  179. Fri Nov 15 19:01:02 2024 commencing in-memory singleton removal
  180. Fri Nov 15 19:01:27 2024 begin with 297105551 relations and 242066498 unique ideals
  181. Fri Nov 15 19:02:59 2024 reduce to 296980318 relations and 237220333 ideals in 6 passes
  182. Fri Nov 15 19:02:59 2024 max relations containing the same ideal: 119
  183. Fri Nov 15 19:04:41 2024 removing 6711832 relations and 4711832 ideals in 2000000 cliques
  184. Fri Nov 15 19:04:48 2024 commencing in-memory singleton removal
  185. Fri Nov 15 19:05:13 2024 begin with 290268486 relations and 237220333 unique ideals
  186. Fri Nov 15 19:06:42 2024 reduce to 290140254 relations and 232379325 ideals in 6 passes
  187. Fri Nov 15 19:06:42 2024 max relations containing the same ideal: 117
  188. Fri Nov 15 19:08:22 2024 removing 6705137 relations and 4705137 ideals in 2000000 cliques
  189. Fri Nov 15 19:08:30 2024 commencing in-memory singleton removal
  190. Fri Nov 15 19:08:54 2024 begin with 283435117 relations and 232379325 unique ideals
  191. Fri Nov 15 19:10:21 2024 reduce to 283304545 relations and 227542589 ideals in 6 passes
  192. Fri Nov 15 19:10:21 2024 max relations containing the same ideal: 115
  193. Fri Nov 15 19:11:59 2024 removing 6702476 relations and 4702476 ideals in 2000000 cliques
  194. Fri Nov 15 19:12:06 2024 commencing in-memory singleton removal
  195. Fri Nov 15 19:12:29 2024 begin with 276602069 relations and 227542589 unique ideals
  196. Fri Nov 15 19:13:54 2024 reduce to 276468710 relations and 222705583 ideals in 6 passes
  197. Fri Nov 15 19:13:54 2024 max relations containing the same ideal: 114
  198. Fri Nov 15 19:15:27 2024 removing 6700968 relations and 4700968 ideals in 2000000 cliques
  199. Fri Nov 15 19:15:34 2024 commencing in-memory singleton removal
  200. Fri Nov 15 19:15:57 2024 begin with 269767742 relations and 222705583 unique ideals
  201. Fri Nov 15 19:17:20 2024 reduce to 269631832 relations and 217867580 ideals in 6 passes
  202. Fri Nov 15 19:17:20 2024 max relations containing the same ideal: 113
  203. Fri Nov 15 19:18:51 2024 removing 6706524 relations and 4706524 ideals in 2000000 cliques
  204. Fri Nov 15 19:18:58 2024 commencing in-memory singleton removal
  205. Fri Nov 15 19:19:20 2024 begin with 262925308 relations and 217867580 unique ideals
  206. Fri Nov 15 19:20:40 2024 reduce to 262785634 relations and 213020153 ideals in 6 passes
  207. Fri Nov 15 19:20:40 2024 max relations containing the same ideal: 111
  208. Fri Nov 15 19:22:09 2024 removing 6708459 relations and 4708459 ideals in 2000000 cliques
  209. Fri Nov 15 19:22:16 2024 commencing in-memory singleton removal
  210. Fri Nov 15 19:22:37 2024 begin with 256077175 relations and 213020153 unique ideals
  211. Fri Nov 15 19:23:55 2024 reduce to 255934133 relations and 208167295 ideals in 6 passes
  212. Fri Nov 15 19:23:55 2024 max relations containing the same ideal: 108
  213. Fri Nov 15 19:25:22 2024 removing 6718743 relations and 4718743 ideals in 2000000 cliques
  214. Fri Nov 15 19:25:29 2024 commencing in-memory singleton removal
  215. Fri Nov 15 19:25:50 2024 begin with 249215390 relations and 208167295 unique ideals
  216. Fri Nov 15 19:27:05 2024 reduce to 249069339 relations and 203301122 ideals in 6 passes
  217. Fri Nov 15 19:27:05 2024 max relations containing the same ideal: 107
  218. Fri Nov 15 19:28:30 2024 removing 6726852 relations and 4726852 ideals in 2000000 cliques
  219. Fri Nov 15 19:28:37 2024 commencing in-memory singleton removal
  220. Fri Nov 15 19:28:57 2024 begin with 242342487 relations and 203301122 unique ideals
  221. Fri Nov 15 19:30:10 2024 reduce to 242191586 relations and 198421955 ideals in 6 passes
  222. Fri Nov 15 19:30:10 2024 max relations containing the same ideal: 106
  223. Fri Nov 15 19:31:33 2024 removing 6739462 relations and 4739462 ideals in 2000000 cliques
  224. Fri Nov 15 19:31:39 2024 commencing in-memory singleton removal
  225. Fri Nov 15 19:31:59 2024 begin with 235452124 relations and 198421955 unique ideals
  226. Fri Nov 15 19:33:10 2024 reduce to 235297931 relations and 193526792 ideals in 6 passes
  227. Fri Nov 15 19:33:10 2024 max relations containing the same ideal: 103
  228. Fri Nov 15 19:34:30 2024 removing 6752082 relations and 4752082 ideals in 2000000 cliques
  229. Fri Nov 15 19:34:38 2024 commencing in-memory singleton removal
  230. Fri Nov 15 19:34:56 2024 begin with 228545849 relations and 193526792 unique ideals
  231. Fri Nov 15 19:36:16 2024 reduce to 228385585 relations and 188612812 ideals in 7 passes
  232. Fri Nov 15 19:36:16 2024 max relations containing the same ideal: 101
  233. Fri Nov 15 19:37:35 2024 removing 6771306 relations and 4771306 ideals in 2000000 cliques
  234. Fri Nov 15 19:37:41 2024 commencing in-memory singleton removal
  235. Fri Nov 15 19:37:59 2024 begin with 221614279 relations and 188612812 unique ideals
  236. Fri Nov 15 19:39:06 2024 reduce to 221449741 relations and 183675340 ideals in 6 passes
  237. Fri Nov 15 19:39:06 2024 max relations containing the same ideal: 98
  238. Fri Nov 15 19:40:22 2024 removing 6793540 relations and 4793540 ideals in 2000000 cliques
  239. Fri Nov 15 19:40:29 2024 commencing in-memory singleton removal
  240. Fri Nov 15 19:40:47 2024 begin with 214656201 relations and 183675340 unique ideals
  241. Fri Nov 15 19:41:52 2024 reduce to 214486103 relations and 178709930 ideals in 6 passes
  242. Fri Nov 15 19:41:52 2024 max relations containing the same ideal: 96
  243. Fri Nov 15 19:43:06 2024 removing 6818034 relations and 4818034 ideals in 2000000 cliques
  244. Fri Nov 15 19:43:12 2024 commencing in-memory singleton removal
  245. Fri Nov 15 19:43:29 2024 begin with 207668069 relations and 178709930 unique ideals
  246. Fri Nov 15 19:44:41 2024 reduce to 207491682 relations and 173713621 ideals in 7 passes
  247. Fri Nov 15 19:44:41 2024 max relations containing the same ideal: 93
  248. Fri Nov 15 19:45:53 2024 removing 6847264 relations and 4847264 ideals in 2000000 cliques
  249. Fri Nov 15 19:45:59 2024 commencing in-memory singleton removal
  250. Fri Nov 15 19:46:15 2024 begin with 200644418 relations and 173713621 unique ideals
  251. Fri Nov 15 19:47:15 2024 reduce to 200460173 relations and 168680142 ideals in 6 passes
  252. Fri Nov 15 19:47:15 2024 max relations containing the same ideal: 92
  253. Fri Nov 15 19:48:25 2024 removing 6882397 relations and 4882397 ideals in 2000000 cliques
  254. Fri Nov 15 19:48:32 2024 commencing in-memory singleton removal
  255. Fri Nov 15 19:48:47 2024 begin with 193577776 relations and 168680142 unique ideals
  256. Fri Nov 15 19:49:54 2024 reduce to 193386214 relations and 163604124 ideals in 7 passes
  257. Fri Nov 15 19:49:54 2024 max relations containing the same ideal: 89
  258. Fri Nov 15 19:51:02 2024 removing 6917447 relations and 4917447 ideals in 2000000 cliques
  259. Fri Nov 15 19:51:08 2024 commencing in-memory singleton removal
  260. Fri Nov 15 19:51:23 2024 begin with 186468767 relations and 163604124 unique ideals
  261. Fri Nov 15 19:52:18 2024 reduce to 186269269 relations and 158484948 ideals in 6 passes
  262. Fri Nov 15 19:52:18 2024 max relations containing the same ideal: 88
  263. Fri Nov 15 19:53:24 2024 removing 6960496 relations and 4960496 ideals in 2000000 cliques
  264. Fri Nov 15 19:53:29 2024 commencing in-memory singleton removal
  265. Fri Nov 15 19:53:43 2024 begin with 179308773 relations and 158484948 unique ideals
  266. Fri Nov 15 19:54:45 2024 reduce to 179099253 relations and 153312580 ideals in 7 passes
  267. Fri Nov 15 19:54:45 2024 max relations containing the same ideal: 84
  268. Fri Nov 15 19:55:48 2024 removing 7010329 relations and 5010329 ideals in 2000000 cliques
  269. Fri Nov 15 19:55:54 2024 commencing in-memory singleton removal
  270. Fri Nov 15 19:56:08 2024 begin with 172088924 relations and 153312580 unique ideals
  271. Fri Nov 15 19:57:07 2024 reduce to 171869812 relations and 148080603 ideals in 7 passes
  272. Fri Nov 15 19:57:07 2024 max relations containing the same ideal: 82
  273. Fri Nov 15 19:58:08 2024 removing 7061072 relations and 5061072 ideals in 2000000 cliques
  274. Fri Nov 15 19:58:13 2024 commencing in-memory singleton removal
  275. Fri Nov 15 19:58:27 2024 begin with 164808740 relations and 148080603 unique ideals
  276. Fri Nov 15 19:59:15 2024 reduce to 164578789 relations and 142786813 ideals in 6 passes
  277. Fri Nov 15 19:59:15 2024 max relations containing the same ideal: 80
  278. Fri Nov 15 20:00:14 2024 removing 7121325 relations and 5121325 ideals in 2000000 cliques
  279. Fri Nov 15 20:00:19 2024 commencing in-memory singleton removal
  280. Fri Nov 15 20:00:31 2024 begin with 157457464 relations and 142786813 unique ideals
  281. Fri Nov 15 20:01:24 2024 reduce to 157212809 relations and 137417880 ideals in 7 passes
  282. Fri Nov 15 20:01:24 2024 max relations containing the same ideal: 80
  283. Fri Nov 15 20:02:21 2024 removing 7186685 relations and 5186685 ideals in 2000000 cliques
  284. Fri Nov 15 20:02:25 2024 commencing in-memory singleton removal
  285. Fri Nov 15 20:02:38 2024 begin with 150026124 relations and 137417880 unique ideals
  286. Fri Nov 15 20:03:29 2024 reduce to 149767858 relations and 131969736 ideals in 7 passes
  287. Fri Nov 15 20:03:29 2024 max relations containing the same ideal: 76
  288. Fri Nov 15 20:04:23 2024 removing 7258911 relations and 5258911 ideals in 2000000 cliques
  289. Fri Nov 15 20:04:28 2024 commencing in-memory singleton removal
  290. Fri Nov 15 20:04:39 2024 begin with 142508947 relations and 131969736 unique ideals
  291. Fri Nov 15 20:05:27 2024 reduce to 142233920 relations and 126432218 ideals in 7 passes
  292. Fri Nov 15 20:05:27 2024 max relations containing the same ideal: 70
  293. Fri Nov 15 20:06:19 2024 removing 7341750 relations and 5341750 ideals in 2000000 cliques
  294. Fri Nov 15 20:06:23 2024 commencing in-memory singleton removal
  295. Fri Nov 15 20:06:33 2024 begin with 134892170 relations and 126432218 unique ideals
  296. Fri Nov 15 20:07:18 2024 reduce to 134595390 relations and 120789784 ideals in 7 passes
  297. Fri Nov 15 20:07:18 2024 max relations containing the same ideal: 69
  298. Fri Nov 15 20:08:08 2024 removing 7433798 relations and 5433798 ideals in 2000000 cliques
  299. Fri Nov 15 20:08:12 2024 commencing in-memory singleton removal
  300. Fri Nov 15 20:08:22 2024 begin with 127161592 relations and 120789784 unique ideals
  301. Fri Nov 15 20:09:04 2024 reduce to 126842298 relations and 115032441 ideals in 7 passes
  302. Fri Nov 15 20:09:04 2024 max relations containing the same ideal: 66
  303. Fri Nov 15 20:09:51 2024 removing 7540303 relations and 5540303 ideals in 2000000 cliques
  304. Fri Nov 15 20:09:56 2024 commencing in-memory singleton removal
  305. Fri Nov 15 20:10:05 2024 begin with 119301995 relations and 115032441 unique ideals
  306. Fri Nov 15 20:10:44 2024 reduce to 118954371 relations and 109139600 ideals in 7 passes
  307. Fri Nov 15 20:10:44 2024 max relations containing the same ideal: 63
  308. Fri Nov 15 20:11:28 2024 removing 7652366 relations and 5652366 ideals in 2000000 cliques
  309. Fri Nov 15 20:11:32 2024 commencing in-memory singleton removal
  310. Fri Nov 15 20:11:41 2024 begin with 111302005 relations and 109139600 unique ideals
  311. Fri Nov 15 20:12:22 2024 reduce to 110921827 relations and 103101465 ideals in 8 passes
  312. Fri Nov 15 20:12:22 2024 max relations containing the same ideal: 61
  313. Fri Nov 15 20:13:02 2024 removing 7791701 relations and 5791701 ideals in 2000000 cliques
  314. Fri Nov 15 20:13:07 2024 commencing in-memory singleton removal
  315. Fri Nov 15 20:13:14 2024 begin with 103130126 relations and 103101465 unique ideals
  316. Fri Nov 15 20:13:48 2024 reduce to 102707081 relations and 96880170 ideals in 7 passes
  317. Fri Nov 15 20:13:48 2024 max relations containing the same ideal: 58
  318. Fri Nov 15 20:14:26 2024 removing 5186196 relations and 3999814 ideals in 1186382 cliques
  319. Fri Nov 15 20:14:29 2024 commencing in-memory singleton removal
  320. Fri Nov 15 20:14:36 2024 begin with 97520885 relations and 96880170 unique ideals
  321. Fri Nov 15 20:15:07 2024 reduce to 97329112 relations and 92686760 ideals in 7 passes
  322. Fri Nov 15 20:15:07 2024 max relations containing the same ideal: 57
  323. Fri Nov 15 20:15:56 2024 relations with 0 large ideals: 150237
  324. Fri Nov 15 20:15:56 2024 relations with 1 large ideals: 135710
  325. Fri Nov 15 20:15:56 2024 relations with 2 large ideals: 1433187
  326. Fri Nov 15 20:15:56 2024 relations with 3 large ideals: 6869322
  327. Fri Nov 15 20:15:56 2024 relations with 4 large ideals: 17406078
  328. Fri Nov 15 20:15:56 2024 relations with 5 large ideals: 25918483
  329. Fri Nov 15 20:15:56 2024 relations with 6 large ideals: 23919651
  330. Fri Nov 15 20:15:56 2024 relations with 7+ large ideals: 21496444
  331. Fri Nov 15 20:15:56 2024 commencing 2-way merge
  332. Fri Nov 15 20:16:51 2024 reduce to 60640549 relation sets and 55998197 unique ideals
  333. Fri Nov 15 20:16:51 2024 commencing full merge
  334. Fri Nov 15 20:33:07 2024 memory use: 7225.6 MB
  335. Fri Nov 15 20:33:11 2024 found 27715855 cycles, need 27210397
  336. Fri Nov 15 20:33:21 2024 weight of 27210397 cycles is about 3374473519 (124.01/cycle)
  337. Fri Nov 15 20:33:21 2024 distribution of cycle lengths:
  338. Fri Nov 15 20:33:21 2024 1 relations: 1823256
  339. Fri Nov 15 20:33:21 2024 2 relations: 1844174
  340. Fri Nov 15 20:33:21 2024 3 relations: 1897412
  341. Fri Nov 15 20:33:21 2024 4 relations: 1898195
  342. Fri Nov 15 20:33:21 2024 5 relations: 1933948
  343. Fri Nov 15 20:33:21 2024 6 relations: 1911364
  344. Fri Nov 15 20:33:21 2024 7 relations: 1898091
  345. Fri Nov 15 20:33:21 2024 8 relations: 1828841
  346. Fri Nov 15 20:33:21 2024 9 relations: 1748215
  347. Fri Nov 15 20:33:21 2024 10+ relations: 10426901
  348. Fri Nov 15 20:33:21 2024 heaviest cycle: 27 relations
  349. Fri Nov 15 20:33:27 2024 commencing cycle optimization
  350. Fri Nov 15 20:34:15 2024 start with 228395909 relations
  351. Fri Nov 15 20:40:47 2024 pruned 9654361 relations
  352. Fri Nov 15 20:40:48 2024 memory use: 6296.1 MB
  353. Fri Nov 15 20:40:48 2024 distribution of cycle lengths:
  354. Fri Nov 15 20:40:48 2024 1 relations: 1823256
  355. Fri Nov 15 20:40:48 2024 2 relations: 1885715
  356. Fri Nov 15 20:40:48 2024 3 relations: 1971285
  357. Fri Nov 15 20:40:48 2024 4 relations: 1972761
  358. Fri Nov 15 20:40:48 2024 5 relations: 2025837
  359. Fri Nov 15 20:40:48 2024 6 relations: 2002426
  360. Fri Nov 15 20:40:48 2024 7 relations: 1995434
  361. Fri Nov 15 20:40:48 2024 8 relations: 1919767
  362. Fri Nov 15 20:40:48 2024 9 relations: 1833372
  363. Fri Nov 15 20:40:48 2024 10+ relations: 9780544
  364. Fri Nov 15 20:40:48 2024 heaviest cycle: 27 relations
  365. Fri Nov 15 20:42:14 2024 RelProcTime: 32768
  366. Fri Nov 15 20:42:14 2024
  367. Fri Nov 15 20:42:14 2024 commencing linear algebra
  368. Fri Nov 15 20:42:14 2024 using VBITS=256
  369. Fri Nov 15 20:42:16 2024 read 27210397 cycles
  370. Fri Nov 15 20:43:05 2024 cycles contain 94883071 unique relations
  371. Fri Nov 15 21:03:12 2024 read 94883071 relations
  372. Fri Nov 15 21:06:18 2024 using 20 quadratic characters above 4294917295
  373. Fri Nov 15 21:14:17 2024 building initial matrix
  374. Fri Nov 15 21:48:06 2024 memory use: 12603.1 MB
  375. Fri Nov 15 21:48:24 2024 read 27210397 cycles
  376. Fri Nov 15 21:48:28 2024 matrix is 27210215 x 27210397 (13179.1 MB) with weight 3737641784 (137.36/col)
  377. Fri Nov 15 21:48:28 2024 sparse part has weight 3155505870 (115.97/col)
  378. Fri Nov 15 21:55:29 2024 filtering completed in 2 passes
  379. Fri Nov 15 21:55:35 2024 matrix is 27207661 x 27207835 (13178.8 MB) with weight 3737538814 (137.37/col)
  380. Fri Nov 15 21:55:35 2024 sparse part has weight 3155457096 (115.98/col)
  381. Fri Nov 15 22:06:07 2024 matrix starts at (0, 0)
  382. Fri Nov 15 22:06:09 2024 matrix is 27207661 x 27207835 (13178.8 MB) with weight 3737538814 (137.37/col)
  383. Fri Nov 15 22:06:09 2024 sparse part has weight 3155457096 (115.98/col)
  384. Fri Nov 15 22:06:09 2024 saving the first 240 matrix rows for later
  385. Fri Nov 15 22:06:14 2024 matrix includes 256 packed rows
  386. Fri Nov 15 22:06:21 2024 matrix is 27207421 x 27207835 (12123.1 MB) with weight 2883650746 (105.99/col)
  387. Fri Nov 15 22:06:21 2024 sparse part has weight 2742680914 (100.80/col)
  388. Fri Nov 15 22:06:25 2024 using GPU 1 (NVIDIA L40S)
  389. Fri Nov 15 22:06:25 2024 selected card has CUDA arch 8.9
  390. Fri Nov 15 22:37:10 2024
  391. Fri Nov 15 22:37:10 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  392. Fri Nov 15 22:37:10 2024 random seeds: 92a4ed92 332f7613
  393. Fri Nov 15 22:37:10 2024 factoring 84083950743405165570863437832832238084935126174691526033829545012248348544957409122967196597261065460266633766622393176065676356273330147122783310278311585993353090446959355270889907132200440914266049083343850538175836533911 (224 digits)
  394. Fri Nov 15 22:37:11 2024 no P-1/P+1/ECM available, skipping
  395. Fri Nov 15 22:37:11 2024 commencing number field sieve (224-digit input)
  396. Fri Nov 15 22:37:11 2024 R0: 9730975341796875000000000000
  397. Fri Nov 15 22:37:11 2024 R1: -145300841439648009494965894021269151109946912557
  398. Fri Nov 15 22:37:11 2024 A0: 75
  399. Fri Nov 15 22:37:11 2024 A1: 0
  400. Fri Nov 15 22:37:11 2024 A2: 0
  401. Fri Nov 15 22:37:11 2024 A3: 0
  402. Fri Nov 15 22:37:11 2024 A4: 0
  403. Fri Nov 15 22:37:11 2024 A5: 0
  404. Fri Nov 15 22:37:11 2024 A6: 32
  405. Fri Nov 15 22:37:11 2024 skew 1.15, size 3.765e-14, alpha 0.455, combined = 9.797e-15 rroots = 0
  406. Fri Nov 15 22:37:11 2024
  407. Fri Nov 15 22:37:11 2024 commencing linear algebra
  408. Fri Nov 15 22:37:11 2024 using VBITS=256
  409. Fri Nov 15 22:37:11 2024 skipping matrix build
  410. Fri Nov 15 22:37:25 2024 matrix starts at (0, 0)
  411. Fri Nov 15 22:37:29 2024 matrix is 27207661 x 27207835 (13178.8 MB) with weight 3737538814 (137.37/col)
  412. Fri Nov 15 22:37:29 2024 sparse part has weight 3155457096 (115.98/col)
  413. Fri Nov 15 22:37:29 2024 saving the first 240 matrix rows for later
  414. Fri Nov 15 22:37:39 2024 matrix includes 256 packed rows
  415. Fri Nov 15 22:37:52 2024 matrix is 27207421 x 27207835 (12123.1 MB) with weight 2883650746 (105.99/col)
  416. Fri Nov 15 22:37:52 2024 sparse part has weight 2742680914 (100.80/col)
  417. Fri Nov 15 22:37:57 2024 using GPU 1 (NVIDIA L40S)
  418. Fri Nov 15 22:37:57 2024 selected card has CUDA arch 8.9
  419. Fri Nov 15 22:43:01 2024 commencing Lanczos iteration
  420. Fri Nov 15 22:43:03 2024 memory use: 27982.7 MB
  421. Fri Nov 15 22:44:25 2024 linear algebra at 0.1%, ETA 19h57m
  422. Fri Nov 15 22:46:26 2024 checking every 10000 dimensions, checkpointing every 690000 dimensions
  423. Sat Nov 16 18:41:49 2024 lanczos halted after 106600 iterations (dim = 27207417)
  424.  
  425. Sat Nov 16 21:21:14 2024 multiply complete, coefficients have about 1543.44 million bits
  426. Sat Nov 16 21:21:18 2024 initial square root is modulo 8384221
  427. Sat Nov 16 21:56:33 2024 sqrtTime: 11582
  428. Sat Nov 16 21:56:33 2024 p109 factor: 1088254871251805579282496886744620488909829431847766108005422325097957353603702448738482317630625241311317411
  429. Sat Nov 16 21:56:33 2024 p116 factor: 77264943134768125293862313548417427313698816725879564855536120496968820891868959726727619828701734300412975328101501
  430. Sat Nov 16 21:56:33 2024 elapsed time 23:19:23
  431.  
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