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C220_145_76

gchilders
Apr 16th, 2024
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  1. Tue Apr 16 06:16:16 2024
  2. Tue Apr 16 06:16:16 2024
  3. Tue Apr 16 06:16:16 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 16 06:16:16 2024 random seeds: f11496b4 05d6a82e
  5. Tue Apr 16 06:16:16 2024 MPI process 0 of 1
  6. Tue Apr 16 06:16:16 2024 Using 23 OpenMP threads
  7. Tue Apr 16 06:16:16 2024 factoring 4827555482689281768903177961646534473009299201857353306446232556982578833628886842426017706213862684362556116569099405556467697703463583401021216498367266919411559899978104798803325886663972802427472510319391030246687751 (220 digits)
  8. Tue Apr 16 06:16:17 2024 no P-1/P+1/ECM available, skipping
  9. Tue Apr 16 06:16:17 2024 commencing number field sieve (220-digit input)
  10. Tue Apr 16 06:16:17 2024 R0: 3496183156153757826996482351208459912924449087659442176
  11. Tue Apr 16 06:16:17 2024 R1: -263341941760198499784820556640625
  12. Tue Apr 16 06:16:17 2024 A0: 145
  13. Tue Apr 16 06:16:17 2024 A1: 0
  14. Tue Apr 16 06:16:17 2024 A2: 0
  15. Tue Apr 16 06:16:17 2024 A3: 0
  16. Tue Apr 16 06:16:17 2024 A4: 0
  17. Tue Apr 16 06:16:17 2024 A5: 1
  18. Tue Apr 16 06:16:17 2024 skew 2.71, size 1.045e-18, alpha 0.992, combined = 9.868e-15 rroots = 1
  19. Tue Apr 16 06:16:17 2024
  20. Tue Apr 16 06:16:17 2024 commencing relation filtering
  21. Tue Apr 16 06:16:17 2024 setting target matrix density to 90.0
  22. Tue Apr 16 06:16:17 2024 estimated available RAM is 192069.1 MB
  23. Tue Apr 16 06:16:17 2024 commencing duplicate removal, pass 1
  24. Tue Apr 16 06:16:55 2024 error -11 reading relation 42730022
  25. Tue Apr 16 06:17:29 2024 error -6 reading relation 80983952
  26. Tue Apr 16 06:17:39 2024 error -5 reading relation 92177045
  27. Tue Apr 16 06:18:01 2024 error -15 reading relation 117055668
  28. Tue Apr 16 06:18:58 2024 error -1 reading relation 181707970
  29. Tue Apr 16 06:19:03 2024 error -1 reading relation 187483355
  30. Tue Apr 16 06:19:42 2024 error -11 reading relation 230633899
  31. Tue Apr 16 06:22:53 2024 error -5 reading relation 444369020
  32. Tue Apr 16 06:22:55 2024 error -1 reading relation 447094533
  33. Tue Apr 16 06:23:29 2024 error -15 reading relation 486695467
  34. Tue Apr 16 06:23:46 2024 error -15 reading relation 505365641
  35. Tue Apr 16 06:23:58 2024 error -6 reading relation 519142882
  36. Tue Apr 16 06:24:28 2024 error -1 reading relation 553604565
  37. Tue Apr 16 06:26:28 2024 skipped 5865 relations with b > 2^32
  38. Tue Apr 16 06:26:28 2024 skipped 4 relations with composite factors
  39. Tue Apr 16 06:26:28 2024 skipped 1438 malformed relations
  40. Tue Apr 16 06:26:28 2024 found 26325263 hash collisions in 690510232 relations
  41. Tue Apr 16 06:26:59 2024 added 731761 free relations
  42. Tue Apr 16 06:26:59 2024 commencing duplicate removal, pass 2
  43. Tue Apr 16 06:29:57 2024 found 0 duplicates and 691241993 unique relations
  44. Tue Apr 16 06:29:57 2024 memory use: 2089.5 MB
  45. Tue Apr 16 06:29:57 2024 reading ideals above 720000
  46. Tue Apr 16 06:29:57 2024 commencing singleton removal, initial pass
  47. Tue Apr 16 07:11:38 2024 memory use: 11024.0 MB
  48. Tue Apr 16 07:11:39 2024 reading all ideals from disk
  49. Tue Apr 16 07:12:03 2024 memory use: 35147.0 MB
  50. Tue Apr 16 07:13:32 2024 keeping 630755233 ideals with weight <= 200, target excess is 3627044
  51. Tue Apr 16 07:15:20 2024 commencing in-memory singleton removal
  52. Tue Apr 16 07:15:31 2024 begin with 691241993 relations and 630755233 unique ideals
  53. Tue Apr 16 07:16:25 2024 reduce to 437113148 relations and 350277363 ideals in 14 passes
  54. Tue Apr 16 07:16:25 2024 max relations containing the same ideal: 157
  55. Tue Apr 16 07:18:38 2024 removing 14714055 relations and 12714055 ideals in 2000000 cliques
  56. Tue Apr 16 07:18:54 2024 commencing in-memory singleton removal
  57. Tue Apr 16 07:19:03 2024 begin with 422399093 relations and 350277363 unique ideals
  58. Tue Apr 16 07:19:27 2024 reduce to 422051192 relations and 337213279 ideals in 8 passes
  59. Tue Apr 16 07:19:27 2024 max relations containing the same ideal: 155
  60. Tue Apr 16 07:21:30 2024 removing 11079917 relations and 9079917 ideals in 2000000 cliques
  61. Tue Apr 16 07:21:46 2024 commencing in-memory singleton removal
  62. Tue Apr 16 07:21:54 2024 begin with 410971275 relations and 337213279 unique ideals
  63. Tue Apr 16 07:22:20 2024 reduce to 410751315 relations and 327912238 ideals in 9 passes
  64. Tue Apr 16 07:22:20 2024 max relations containing the same ideal: 152
  65. Tue Apr 16 07:24:18 2024 removing 9918411 relations and 7918411 ideals in 2000000 cliques
  66. Tue Apr 16 07:24:34 2024 commencing in-memory singleton removal
  67. Tue Apr 16 07:24:41 2024 begin with 400832904 relations and 327912238 unique ideals
  68. Tue Apr 16 07:25:02 2024 reduce to 400646462 relations and 319806467 ideals in 7 passes
  69. Tue Apr 16 07:25:02 2024 max relations containing the same ideal: 150
  70. Tue Apr 16 07:27:01 2024 removing 9247885 relations and 7247885 ideals in 2000000 cliques
  71. Tue Apr 16 07:27:16 2024 commencing in-memory singleton removal
  72. Tue Apr 16 07:27:23 2024 begin with 391398577 relations and 319806467 unique ideals
  73. Tue Apr 16 07:27:44 2024 reduce to 391229775 relations and 312388973 ideals in 7 passes
  74. Tue Apr 16 07:27:44 2024 max relations containing the same ideal: 147
  75. Tue Apr 16 07:29:34 2024 removing 8799037 relations and 6799037 ideals in 2000000 cliques
  76. Tue Apr 16 07:29:48 2024 commencing in-memory singleton removal
  77. Tue Apr 16 07:29:56 2024 begin with 382430738 relations and 312388973 unique ideals
  78. Tue Apr 16 07:30:16 2024 reduce to 382272100 relations and 305430510 ideals in 7 passes
  79. Tue Apr 16 07:30:16 2024 max relations containing the same ideal: 145
  80. Tue Apr 16 07:32:06 2024 removing 8463383 relations and 6463383 ideals in 2000000 cliques
  81. Tue Apr 16 07:32:20 2024 commencing in-memory singleton removal
  82. Tue Apr 16 07:32:27 2024 begin with 373808717 relations and 305430510 unique ideals
  83. Tue Apr 16 07:32:48 2024 reduce to 373657509 relations and 298815181 ideals in 7 passes
  84. Tue Apr 16 07:32:48 2024 max relations containing the same ideal: 144
  85. Tue Apr 16 07:34:39 2024 removing 8205081 relations and 6205081 ideals in 2000000 cliques
  86. Tue Apr 16 07:34:53 2024 commencing in-memory singleton removal
  87. Tue Apr 16 07:35:00 2024 begin with 365452428 relations and 298815181 unique ideals
  88. Tue Apr 16 07:35:17 2024 reduce to 365306321 relations and 292463261 ideals in 6 passes
  89. Tue Apr 16 07:35:17 2024 max relations containing the same ideal: 142
  90. Tue Apr 16 07:37:06 2024 removing 8000991 relations and 6000991 ideals in 2000000 cliques
  91. Tue Apr 16 07:37:18 2024 commencing in-memory singleton removal
  92. Tue Apr 16 07:37:26 2024 begin with 357305330 relations and 292463261 unique ideals
  93. Tue Apr 16 07:37:44 2024 reduce to 357163437 relations and 286319547 ideals in 7 passes
  94. Tue Apr 16 07:37:44 2024 max relations containing the same ideal: 138
  95. Tue Apr 16 07:39:31 2024 removing 7838214 relations and 5838214 ideals in 2000000 cliques
  96. Tue Apr 16 07:39:44 2024 commencing in-memory singleton removal
  97. Tue Apr 16 07:39:51 2024 begin with 349325223 relations and 286319547 unique ideals
  98. Tue Apr 16 07:40:07 2024 reduce to 349186472 relations and 280341810 ideals in 6 passes
  99. Tue Apr 16 07:40:07 2024 max relations containing the same ideal: 137
  100. Tue Apr 16 07:41:50 2024 removing 7702202 relations and 5702202 ideals in 2000000 cliques
  101. Tue Apr 16 07:42:03 2024 commencing in-memory singleton removal
  102. Tue Apr 16 07:42:09 2024 begin with 341484270 relations and 280341810 unique ideals
  103. Tue Apr 16 07:42:26 2024 reduce to 341345432 relations and 274499999 ideals in 6 passes
  104. Tue Apr 16 07:42:26 2024 max relations containing the same ideal: 136
  105. Tue Apr 16 07:44:07 2024 removing 7591472 relations and 5591472 ideals in 2000000 cliques
  106. Tue Apr 16 07:44:20 2024 commencing in-memory singleton removal
  107. Tue Apr 16 07:44:27 2024 begin with 333753960 relations and 274499999 unique ideals
  108. Tue Apr 16 07:44:44 2024 reduce to 333616224 relations and 268769998 ideals in 7 passes
  109. Tue Apr 16 07:44:44 2024 max relations containing the same ideal: 132
  110. Tue Apr 16 07:46:22 2024 removing 7492654 relations and 5492654 ideals in 2000000 cliques
  111. Tue Apr 16 07:46:34 2024 commencing in-memory singleton removal
  112. Tue Apr 16 07:46:40 2024 begin with 326123570 relations and 268769998 unique ideals
  113. Tue Apr 16 07:46:55 2024 reduce to 325986070 relations and 263139044 ideals in 6 passes
  114. Tue Apr 16 07:46:55 2024 max relations containing the same ideal: 131
  115. Tue Apr 16 07:48:29 2024 removing 7412967 relations and 5412967 ideals in 2000000 cliques
  116. Tue Apr 16 07:48:41 2024 commencing in-memory singleton removal
  117. Tue Apr 16 07:48:47 2024 begin with 318573103 relations and 263139044 unique ideals
  118. Tue Apr 16 07:49:01 2024 reduce to 318434658 relations and 257586795 ideals in 6 passes
  119. Tue Apr 16 07:49:01 2024 max relations containing the same ideal: 130
  120. Tue Apr 16 07:50:34 2024 removing 7342345 relations and 5342345 ideals in 2000000 cliques
  121. Tue Apr 16 07:50:45 2024 commencing in-memory singleton removal
  122. Tue Apr 16 07:50:51 2024 begin with 311092313 relations and 257586795 unique ideals
  123. Tue Apr 16 07:51:06 2024 reduce to 310953527 relations and 252104840 ideals in 6 passes
  124. Tue Apr 16 07:51:06 2024 max relations containing the same ideal: 128
  125. Tue Apr 16 07:52:36 2024 removing 7283740 relations and 5283740 ideals in 2000000 cliques
  126. Tue Apr 16 07:52:47 2024 commencing in-memory singleton removal
  127. Tue Apr 16 07:52:52 2024 begin with 303669787 relations and 252104840 unique ideals
  128. Tue Apr 16 07:53:07 2024 reduce to 303530845 relations and 246681243 ideals in 7 passes
  129. Tue Apr 16 07:53:07 2024 max relations containing the same ideal: 127
  130. Tue Apr 16 07:54:36 2024 removing 7233318 relations and 5233318 ideals in 2000000 cliques
  131. Tue Apr 16 07:54:47 2024 commencing in-memory singleton removal
  132. Tue Apr 16 07:54:52 2024 begin with 296297527 relations and 246681243 unique ideals
  133. Tue Apr 16 07:55:07 2024 reduce to 296156849 relations and 241306333 ideals in 7 passes
  134. Tue Apr 16 07:55:07 2024 max relations containing the same ideal: 125
  135. Tue Apr 16 07:56:32 2024 removing 7193531 relations and 5193531 ideals in 2000000 cliques
  136. Tue Apr 16 07:56:42 2024 commencing in-memory singleton removal
  137. Tue Apr 16 07:56:48 2024 begin with 288963318 relations and 241306333 unique ideals
  138. Tue Apr 16 07:57:00 2024 reduce to 288820636 relations and 235969137 ideals in 6 passes
  139. Tue Apr 16 07:57:00 2024 max relations containing the same ideal: 122
  140. Tue Apr 16 07:58:33 2024 removing 7156044 relations and 5156044 ideals in 2000000 cliques
  141. Tue Apr 16 07:58:44 2024 commencing in-memory singleton removal
  142. Tue Apr 16 07:58:49 2024 begin with 281664592 relations and 235969137 unique ideals
  143. Tue Apr 16 07:59:00 2024 reduce to 281519763 relations and 230667177 ideals in 6 passes
  144. Tue Apr 16 07:59:00 2024 max relations containing the same ideal: 121
  145. Tue Apr 16 08:00:23 2024 removing 7129750 relations and 5129750 ideals in 2000000 cliques
  146. Tue Apr 16 08:00:33 2024 commencing in-memory singleton removal
  147. Tue Apr 16 08:00:38 2024 begin with 274390013 relations and 230667177 unique ideals
  148. Tue Apr 16 08:00:50 2024 reduce to 274242565 relations and 225388878 ideals in 6 passes
  149. Tue Apr 16 08:00:50 2024 max relations containing the same ideal: 117
  150. Tue Apr 16 08:02:11 2024 removing 7102497 relations and 5102497 ideals in 2000000 cliques
  151. Tue Apr 16 08:02:20 2024 commencing in-memory singleton removal
  152. Tue Apr 16 08:02:25 2024 begin with 267140068 relations and 225388878 unique ideals
  153. Tue Apr 16 08:02:37 2024 reduce to 266989626 relations and 220134754 ideals in 6 passes
  154. Tue Apr 16 08:02:37 2024 max relations containing the same ideal: 115
  155. Tue Apr 16 08:03:52 2024 removing 7087218 relations and 5087218 ideals in 2000000 cliques
  156. Tue Apr 16 08:04:01 2024 commencing in-memory singleton removal
  157. Tue Apr 16 08:04:06 2024 begin with 259902408 relations and 220134754 unique ideals
  158. Tue Apr 16 08:04:16 2024 reduce to 259749901 relations and 214893802 ideals in 6 passes
  159. Tue Apr 16 08:04:16 2024 max relations containing the same ideal: 114
  160. Tue Apr 16 08:05:36 2024 removing 7076049 relations and 5076049 ideals in 2000000 cliques
  161. Tue Apr 16 08:05:45 2024 commencing in-memory singleton removal
  162. Tue Apr 16 08:05:49 2024 begin with 252673852 relations and 214893802 unique ideals
  163. Tue Apr 16 08:05:59 2024 reduce to 252519231 relations and 209661825 ideals in 6 passes
  164. Tue Apr 16 08:05:59 2024 max relations containing the same ideal: 112
  165. Tue Apr 16 08:07:18 2024 removing 7066039 relations and 5066039 ideals in 2000000 cliques
  166. Tue Apr 16 08:07:27 2024 commencing in-memory singleton removal
  167. Tue Apr 16 08:07:31 2024 begin with 245453192 relations and 209661825 unique ideals
  168. Tue Apr 16 08:07:41 2024 reduce to 245293011 relations and 204434273 ideals in 6 passes
  169. Tue Apr 16 08:07:41 2024 max relations containing the same ideal: 110
  170. Tue Apr 16 08:08:57 2024 removing 7066049 relations and 5066049 ideals in 2000000 cliques
  171. Tue Apr 16 08:09:06 2024 commencing in-memory singleton removal
  172. Tue Apr 16 08:09:10 2024 begin with 238226962 relations and 204434273 unique ideals
  173. Tue Apr 16 08:09:19 2024 reduce to 238062856 relations and 199202716 ideals in 6 passes
  174. Tue Apr 16 08:09:19 2024 max relations containing the same ideal: 110
  175. Tue Apr 16 08:10:27 2024 removing 7063210 relations and 5063210 ideals in 2000000 cliques
  176. Tue Apr 16 08:10:35 2024 commencing in-memory singleton removal
  177. Tue Apr 16 08:10:39 2024 begin with 230999646 relations and 199202716 unique ideals
  178. Tue Apr 16 08:10:49 2024 reduce to 230830902 relations and 193969239 ideals in 7 passes
  179. Tue Apr 16 08:10:49 2024 max relations containing the same ideal: 106
  180. Tue Apr 16 08:11:55 2024 removing 7071174 relations and 5071174 ideals in 2000000 cliques
  181. Tue Apr 16 08:12:04 2024 commencing in-memory singleton removal
  182. Tue Apr 16 08:12:08 2024 begin with 223759728 relations and 193969239 unique ideals
  183. Tue Apr 16 08:12:16 2024 reduce to 223585663 relations and 188722392 ideals in 6 passes
  184. Tue Apr 16 08:12:16 2024 max relations containing the same ideal: 105
  185. Tue Apr 16 08:13:20 2024 removing 7080286 relations and 5080286 ideals in 2000000 cliques
  186. Tue Apr 16 08:13:28 2024 commencing in-memory singleton removal
  187. Tue Apr 16 08:13:32 2024 begin with 216505377 relations and 188722392 unique ideals
  188. Tue Apr 16 08:13:41 2024 reduce to 216325704 relations and 183460784 ideals in 7 passes
  189. Tue Apr 16 08:13:41 2024 max relations containing the same ideal: 103
  190. Tue Apr 16 08:14:42 2024 removing 7089774 relations and 5089774 ideals in 2000000 cliques
  191. Tue Apr 16 08:14:49 2024 commencing in-memory singleton removal
  192. Tue Apr 16 08:14:53 2024 begin with 209235930 relations and 183460784 unique ideals
  193. Tue Apr 16 08:15:01 2024 reduce to 209050836 relations and 178184152 ideals in 6 passes
  194. Tue Apr 16 08:15:01 2024 max relations containing the same ideal: 98
  195. Tue Apr 16 08:16:01 2024 removing 7104983 relations and 5104983 ideals in 2000000 cliques
  196. Tue Apr 16 08:16:09 2024 commencing in-memory singleton removal
  197. Tue Apr 16 08:16:12 2024 begin with 201945853 relations and 178184152 unique ideals
  198. Tue Apr 16 08:16:20 2024 reduce to 201754005 relations and 172885441 ideals in 6 passes
  199. Tue Apr 16 08:16:20 2024 max relations containing the same ideal: 96
  200. Tue Apr 16 08:17:19 2024 removing 7131915 relations and 5131915 ideals in 2000000 cliques
  201. Tue Apr 16 08:17:27 2024 commencing in-memory singleton removal
  202. Tue Apr 16 08:17:30 2024 begin with 194622090 relations and 172885441 unique ideals
  203. Tue Apr 16 08:17:38 2024 reduce to 194422816 relations and 167552233 ideals in 6 passes
  204. Tue Apr 16 08:17:38 2024 max relations containing the same ideal: 91
  205. Tue Apr 16 08:18:34 2024 removing 7160187 relations and 5160187 ideals in 2000000 cliques
  206. Tue Apr 16 08:18:41 2024 commencing in-memory singleton removal
  207. Tue Apr 16 08:18:44 2024 begin with 187262629 relations and 167552233 unique ideals
  208. Tue Apr 16 08:18:52 2024 reduce to 187055529 relations and 162182869 ideals in 7 passes
  209. Tue Apr 16 08:18:52 2024 max relations containing the same ideal: 89
  210. Tue Apr 16 08:19:48 2024 removing 7188026 relations and 5188026 ideals in 2000000 cliques
  211. Tue Apr 16 08:19:54 2024 commencing in-memory singleton removal
  212. Tue Apr 16 08:19:58 2024 begin with 179867503 relations and 162182869 unique ideals
  213. Tue Apr 16 08:20:05 2024 reduce to 179650811 relations and 156775862 ideals in 6 passes
  214. Tue Apr 16 08:20:05 2024 max relations containing the same ideal: 88
  215. Tue Apr 16 08:20:57 2024 removing 7227195 relations and 5227195 ideals in 2000000 cliques
  216. Tue Apr 16 08:21:04 2024 commencing in-memory singleton removal
  217. Tue Apr 16 08:21:07 2024 begin with 172423616 relations and 156775862 unique ideals
  218. Tue Apr 16 08:21:13 2024 reduce to 172197227 relations and 151319910 ideals in 6 passes
  219. Tue Apr 16 08:21:13 2024 max relations containing the same ideal: 85
  220. Tue Apr 16 08:22:05 2024 removing 7267015 relations and 5267015 ideals in 2000000 cliques
  221. Tue Apr 16 08:22:12 2024 commencing in-memory singleton removal
  222. Tue Apr 16 08:22:14 2024 begin with 164930212 relations and 151319910 unique ideals
  223. Tue Apr 16 08:22:21 2024 reduce to 164692121 relations and 145812230 ideals in 7 passes
  224. Tue Apr 16 08:22:21 2024 max relations containing the same ideal: 83
  225. Tue Apr 16 08:23:09 2024 removing 7317140 relations and 5317140 ideals in 2000000 cliques
  226. Tue Apr 16 08:23:15 2024 commencing in-memory singleton removal
  227. Tue Apr 16 08:23:18 2024 begin with 157374981 relations and 145812230 unique ideals
  228. Tue Apr 16 08:23:25 2024 reduce to 157124724 relations and 140241985 ideals in 7 passes
  229. Tue Apr 16 08:23:25 2024 max relations containing the same ideal: 81
  230. Tue Apr 16 08:24:12 2024 removing 7369237 relations and 5369237 ideals in 2000000 cliques
  231. Tue Apr 16 08:24:18 2024 commencing in-memory singleton removal
  232. Tue Apr 16 08:24:20 2024 begin with 149755487 relations and 140241985 unique ideals
  233. Tue Apr 16 08:24:27 2024 reduce to 149489508 relations and 134603621 ideals in 7 passes
  234. Tue Apr 16 08:24:27 2024 max relations containing the same ideal: 78
  235. Tue Apr 16 08:25:11 2024 removing 7431313 relations and 5431313 ideals in 2000000 cliques
  236. Tue Apr 16 08:25:17 2024 commencing in-memory singleton removal
  237. Tue Apr 16 08:25:19 2024 begin with 142058195 relations and 134603621 unique ideals
  238. Tue Apr 16 08:25:25 2024 reduce to 141774853 relations and 128885558 ideals in 7 passes
  239. Tue Apr 16 08:25:25 2024 max relations containing the same ideal: 75
  240. Tue Apr 16 08:26:07 2024 removing 7499318 relations and 5499318 ideals in 2000000 cliques
  241. Tue Apr 16 08:26:13 2024 commencing in-memory singleton removal
  242. Tue Apr 16 08:26:16 2024 begin with 134275535 relations and 128885558 unique ideals
  243. Tue Apr 16 08:26:21 2024 reduce to 133973357 relations and 123080246 ideals in 7 passes
  244. Tue Apr 16 08:26:21 2024 max relations containing the same ideal: 73
  245. Tue Apr 16 08:27:02 2024 removing 7579128 relations and 5579128 ideals in 2000000 cliques
  246. Tue Apr 16 08:27:07 2024 commencing in-memory singleton removal
  247. Tue Apr 16 08:27:10 2024 begin with 126394229 relations and 123080246 unique ideals
  248. Tue Apr 16 08:27:15 2024 reduce to 126066766 relations and 117169284 ideals in 7 passes
  249. Tue Apr 16 08:27:15 2024 max relations containing the same ideal: 69
  250. Tue Apr 16 08:27:58 2024 removing 7666094 relations and 5666094 ideals in 2000000 cliques
  251. Tue Apr 16 08:28:04 2024 commencing in-memory singleton removal
  252. Tue Apr 16 08:28:06 2024 begin with 118400672 relations and 117169284 unique ideals
  253. Tue Apr 16 08:28:11 2024 reduce to 118048180 relations and 111145868 ideals in 7 passes
  254. Tue Apr 16 08:28:11 2024 max relations containing the same ideal: 68
  255. Tue Apr 16 08:28:54 2024 removing 7770715 relations and 5770715 ideals in 2000000 cliques
  256. Tue Apr 16 08:28:59 2024 commencing in-memory singleton removal
  257. Tue Apr 16 08:29:01 2024 begin with 110277465 relations and 111145868 unique ideals
  258. Tue Apr 16 08:29:06 2024 reduce to 109889974 relations and 104982005 ideals in 8 passes
  259. Tue Apr 16 08:29:06 2024 max relations containing the same ideal: 66
  260. Tue Apr 16 08:29:45 2024 removing 3349039 relations and 2648442 ideals in 700597 cliques
  261. Tue Apr 16 08:29:49 2024 commencing in-memory singleton removal
  262. Tue Apr 16 08:29:51 2024 begin with 106540935 relations and 104982005 unique ideals
  263. Tue Apr 16 08:29:55 2024 reduce to 106471076 relations and 102263367 ideals in 6 passes
  264. Tue Apr 16 08:29:55 2024 max relations containing the same ideal: 64
  265. Tue Apr 16 08:30:49 2024 relations with 0 large ideals: 68387
  266. Tue Apr 16 08:30:49 2024 relations with 1 large ideals: 133601
  267. Tue Apr 16 08:30:49 2024 relations with 2 large ideals: 1526198
  268. Tue Apr 16 08:30:49 2024 relations with 3 large ideals: 7305541
  269. Tue Apr 16 08:30:49 2024 relations with 4 large ideals: 18752895
  270. Tue Apr 16 08:30:49 2024 relations with 5 large ideals: 28596811
  271. Tue Apr 16 08:30:49 2024 relations with 6 large ideals: 27428760
  272. Tue Apr 16 08:30:49 2024 relations with 7+ large ideals: 22658883
  273. Tue Apr 16 08:30:49 2024 commencing 2-way merge
  274. Tue Apr 16 08:31:42 2024 reduce to 67570579 relation sets and 63362870 unique ideals
  275. Tue Apr 16 08:31:42 2024 commencing full merge
  276. Tue Apr 16 08:44:39 2024 memory use: 7397.0 MB
  277. Tue Apr 16 08:44:45 2024 found 34096069 cycles, need 33519070
  278. Tue Apr 16 08:44:56 2024 weight of 33519070 cycles is about 3017210807 (90.01/cycle)
  279. Tue Apr 16 08:44:56 2024 distribution of cycle lengths:
  280. Tue Apr 16 08:44:56 2024 1 relations: 2967946
  281. Tue Apr 16 08:44:56 2024 2 relations: 3209228
  282. Tue Apr 16 08:44:56 2024 3 relations: 3375682
  283. Tue Apr 16 08:44:56 2024 4 relations: 3351477
  284. Tue Apr 16 08:44:56 2024 5 relations: 3238284
  285. Tue Apr 16 08:44:56 2024 6 relations: 3093312
  286. Tue Apr 16 08:44:56 2024 7 relations: 2853420
  287. Tue Apr 16 08:44:56 2024 8 relations: 2543070
  288. Tue Apr 16 08:44:56 2024 9 relations: 2184047
  289. Tue Apr 16 08:44:56 2024 10+ relations: 6702604
  290. Tue Apr 16 08:44:56 2024 heaviest cycle: 21 relations
  291. Tue Apr 16 08:45:09 2024 commencing cycle optimization
  292. Tue Apr 16 08:46:01 2024 start with 208090536 relations
  293. Tue Apr 16 08:50:33 2024 pruned 6233607 relations
  294. Tue Apr 16 08:50:34 2024 memory use: 6508.9 MB
  295. Tue Apr 16 08:50:34 2024 distribution of cycle lengths:
  296. Tue Apr 16 08:50:34 2024 1 relations: 2967946
  297. Tue Apr 16 08:50:34 2024 2 relations: 3282477
  298. Tue Apr 16 08:50:34 2024 3 relations: 3506333
  299. Tue Apr 16 08:50:34 2024 4 relations: 3460793
  300. Tue Apr 16 08:50:34 2024 5 relations: 3360638
  301. Tue Apr 16 08:50:34 2024 6 relations: 3189673
  302. Tue Apr 16 08:50:34 2024 7 relations: 2940036
  303. Tue Apr 16 08:50:34 2024 8 relations: 2591115
  304. Tue Apr 16 08:50:34 2024 9 relations: 2201961
  305. Tue Apr 16 08:50:34 2024 10+ relations: 6018098
  306. Tue Apr 16 08:50:34 2024 heaviest cycle: 20 relations
  307. Tue Apr 16 08:51:26 2024 RelProcTime: 9309
  308. Tue Apr 16 08:51:26 2024 elapsed time 02:35:10
  309. Tue Apr 16 08:51:38 2024
  310. Tue Apr 16 08:51:38 2024
  311. Tue Apr 16 08:51:38 2024 Msieve v. 1.54 (SVN Unversioned directory)
  312. Tue Apr 16 08:51:38 2024 random seeds: 6d4e32f4 12879b32
  313. Tue Apr 16 08:51:38 2024 MPI process 0 of 1
  314. Tue Apr 16 08:51:38 2024 Using 23 OpenMP threads
  315. Tue Apr 16 08:51:38 2024 factoring 4827555482689281768903177961646534473009299201857353306446232556982578833628886842426017706213862684362556116569099405556467697703463583401021216498367266919411559899978104798803325886663972802427472510319391030246687751 (220 digits)
  316. Tue Apr 16 08:51:39 2024 no P-1/P+1/ECM available, skipping
  317. Tue Apr 16 08:51:39 2024 commencing number field sieve (220-digit input)
  318. Tue Apr 16 08:51:39 2024 R0: 3496183156153757826996482351208459912924449087659442176
  319. Tue Apr 16 08:51:39 2024 R1: -263341941760198499784820556640625
  320. Tue Apr 16 08:51:39 2024 A0: 145
  321. Tue Apr 16 08:51:39 2024 A1: 0
  322. Tue Apr 16 08:51:39 2024 A2: 0
  323. Tue Apr 16 08:51:39 2024 A3: 0
  324. Tue Apr 16 08:51:39 2024 A4: 0
  325. Tue Apr 16 08:51:39 2024 A5: 1
  326. Tue Apr 16 08:51:39 2024 skew 2.71, size 1.045e-18, alpha 0.992, combined = 9.868e-15 rroots = 1
  327. Tue Apr 16 08:51:39 2024
  328. Tue Apr 16 08:51:39 2024 commencing linear algebra
  329. Tue Apr 16 08:51:39 2024 using VBITS=128
  330. Tue Apr 16 08:51:39 2024 stopping after matrix build
  331. Tue Apr 16 08:51:39 2024 initialized process (0,0) of 1 x 1 grid
  332. Tue Apr 16 08:51:43 2024 read 33519070 cycles
  333. Tue Apr 16 08:52:51 2024 cycles contain 104356225 unique relations
  334. Tue Apr 16 08:54:37 2024 read 104356225 relations
  335. Tue Apr 16 08:54:52 2024 using 20 quadratic characters above 4294917295
  336. Tue Apr 16 08:55:19 2024 building initial matrix
  337. Tue Apr 16 09:14:32 2024 memory use: 13407.1 MB
  338. Tue Apr 16 09:15:03 2024 read 33519070 cycles
  339. Tue Apr 16 09:15:07 2024 matrix is 33518890 x 33519070 (12438.2 MB) with weight 3579164282 (106.78/col)
  340. Tue Apr 16 09:15:07 2024 sparse part has weight 2891878277 (86.28/col)
  341. Tue Apr 16 09:21:47 2024 filtering completed in 2 passes
  342. Tue Apr 16 09:21:52 2024 matrix is 33511451 x 33511629 (12437.6 MB) with weight 3578943079 (106.80/col)
  343. Tue Apr 16 09:21:52 2024 sparse part has weight 2891803889 (86.29/col)
  344. Tue Apr 16 09:23:13 2024 BLanczosTime: 1894
  345. Tue Apr 16 09:23:13 2024 elapsed time 00:31:35
  346. Tue Apr 16 11:55:30 2024
  347. Tue Apr 16 11:55:31 2024
  348. Tue Apr 16 11:55:31 2024 Msieve v. 1.54 (SVN unknown)
  349. Tue Apr 16 11:55:31 2024 random seeds: 1d652d94 01cfc12b
  350. Tue Apr 16 11:55:31 2024 MPI process 0 of 4
  351. Tue Apr 16 11:55:31 2024 Using 16 OpenMP threads
  352. Tue Apr 16 11:55:31 2024 factoring 4827555482689281768903177961646534473009299201857353306446232556982578833628886842426017706213862684362556116569099405556467697703463583401021216498367266919411559899978104798803325886663972802427472510319391030246687751 (220 digits)
  353. Tue Apr 16 11:55:31 2024 no P-1/P+1/ECM available, skipping
  354. Tue Apr 16 11:55:31 2024 commencing number field sieve (220-digit input)
  355. Tue Apr 16 11:55:31 2024 R0: 3496183156153757826996482351208459912924449087659442176
  356. Tue Apr 16 11:55:31 2024 R1: -263341941760198499784820556640625
  357. Tue Apr 16 11:55:31 2024 A0: 145
  358. Tue Apr 16 11:55:31 2024 A1: 0
  359. Tue Apr 16 11:55:31 2024 A2: 0
  360. Tue Apr 16 11:55:31 2024 A3: 0
  361. Tue Apr 16 11:55:31 2024 A4: 0
  362. Tue Apr 16 11:55:31 2024 A5: 1
  363. Tue Apr 16 11:55:31 2024 skew 2.71, size 1.045e-18, alpha 0.992, combined = 9.868e-15 rroots = 1
  364. Tue Apr 16 11:55:31 2024
  365. Tue Apr 16 11:55:31 2024 commencing linear algebra
  366. Tue Apr 16 11:55:31 2024 using VBITS=256
  367. Tue Apr 16 11:55:31 2024 skipping matrix build
  368. Tue Apr 16 11:55:31 2024 initialized process (0,0) of 2 x 2 grid
  369. Tue Apr 16 11:55:44 2024 matrix starts at (0, 0)
  370. Tue Apr 16 11:55:45 2024 matrix is 16755846 x 16755857 (3701.7 MB) with weight 1129635474 (67.42/col)
  371. Tue Apr 16 11:55:45 2024 sparse part has weight 786073586 (46.91/col)
  372. Tue Apr 16 11:55:45 2024 saving the first 240 matrix rows for later
  373. Tue Apr 16 11:55:48 2024 matrix includes 256 packed rows
  374. Tue Apr 16 11:55:52 2024 matrix is 16755606 x 16755857 (3349.0 MB) with weight 660430608 (39.41/col)
  375. Tue Apr 16 11:55:52 2024 sparse part has weight 609813850 (36.39/col)
  376. Tue Apr 16 11:55:52 2024 using GPU 0 (NVIDIA A100-SXM4-40GB)
  377. Tue Apr 16 11:55:52 2024 selected card has CUDA arch 8.0
  378. Tue Apr 16 11:56:24 2024 commencing Lanczos iteration
  379. Tue Apr 16 11:56:24 2024 memory use: 7848.4 MB
  380. Tue Apr 16 11:56:41 2024 linear algebra at 0.1%, ETA 4h51m
  381. Tue Apr 16 11:57:05 2024 checking every 110000 dimensions, checkpointing every 6930000 dimensions
  382. Tue Apr 16 16:48:36 2024 lanczos halted after 131296 iterations (dim = 33511209)
  383. Tue Apr 16 16:51:48 2024 recovered 35 nontrivial dependencies
  384. Tue Apr 16 16:51:49 2024 BLanczosTime: 17778
  385. Tue Apr 16 16:51:49 2024 elapsed time 04:56:18
  386. Tue Apr 16 16:05:51 2024
  387. Tue Apr 16 16:05:52 2024
  388. Tue Apr 16 16:05:52 2024 Msieve v. 1.54 (SVN Unversioned directory)
  389. Tue Apr 16 16:05:52 2024 random seeds: cdc1681d ecf36cc4
  390. Tue Apr 16 16:05:52 2024 MPI process 0 of 1
  391. Tue Apr 16 16:05:52 2024 Using 23 OpenMP threads
  392. Tue Apr 16 16:05:52 2024 factoring 4827555482689281768903177961646534473009299201857353306446232556982578833628886842426017706213862684362556116569099405556467697703463583401021216498367266919411559899978104798803325886663972802427472510319391030246687751 (220 digits)
  393. Tue Apr 16 16:05:53 2024 no P-1/P+1/ECM available, skipping
  394. Tue Apr 16 16:05:53 2024 commencing number field sieve (220-digit input)
  395. Tue Apr 16 16:05:53 2024 R0: 3496183156153757826996482351208459912924449087659442176
  396. Tue Apr 16 16:05:53 2024 R1: -263341941760198499784820556640625
  397. Tue Apr 16 16:05:53 2024 A0: 145
  398. Tue Apr 16 16:05:53 2024 A1: 0
  399. Tue Apr 16 16:05:53 2024 A2: 0
  400. Tue Apr 16 16:05:53 2024 A3: 0
  401. Tue Apr 16 16:05:53 2024 A4: 0
  402. Tue Apr 16 16:05:53 2024 A5: 1
  403. Tue Apr 16 16:05:53 2024 skew 2.71, size 1.045e-18, alpha 0.992, combined = 9.868e-15 rroots = 1
  404. Tue Apr 16 16:05:53 2024
  405. Tue Apr 16 16:05:53 2024 commencing square root phase
  406. Tue Apr 16 16:05:53 2024 reading relations for dependency 1
  407. Tue Apr 16 16:05:57 2024 read 16753539 cycles
  408. Tue Apr 16 16:06:22 2024 cycles contain 52169984 unique relations
  409. Tue Apr 16 16:07:47 2024 read 52169984 relations
  410. Tue Apr 16 16:11:22 2024 multiplying 52169984 relations
  411. Tue Apr 16 16:14:16 2024 multiply complete, coefficients have about 1446.20 million bits
  412. Tue Apr 16 16:14:20 2024 initial square root is modulo 3071021
  413. Tue Apr 16 16:23:44 2024 GCD is N, no factor found
  414. Tue Apr 16 16:23:44 2024 reading relations for dependency 2
  415. Tue Apr 16 16:23:48 2024 read 16758404 cycles
  416. Tue Apr 16 16:24:14 2024 cycles contain 52183004 unique relations
  417. Tue Apr 16 16:25:36 2024 read 52183004 relations
  418. Tue Apr 16 16:29:11 2024 multiplying 52183004 relations
  419. Tue Apr 16 16:32:05 2024 multiply complete, coefficients have about 1446.55 million bits
  420. Tue Apr 16 16:32:10 2024 initial square root is modulo 3082171
  421. Tue Apr 16 16:41:38 2024 sqrtTime: 2145
  422. Tue Apr 16 16:41:38 2024 p64 factor: 1914152006926079717159362953708142338346063683429432085648699127
  423. Tue Apr 16 16:41:38 2024 p157 factor: 2522033498500368157253608617804516548338258520336701697419104992985662960484759955010343279872488474249391462522909982371336208575179690052699822203908243313
  424. Tue Apr 16 16:41:38 2024 elapsed time 00:35:46
  425.  
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