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4p3_1383M

Nov 16th, 2024
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  1. Fri Nov 15 15:29:31 2024
  2. Fri Nov 15 15:29:31 2024
  3. Fri Nov 15 15:29:31 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Nov 15 15:29:31 2024 random seeds: 5be97303 d16b44b5
  5. Fri Nov 15 15:29:31 2024 MPI process 0 of 1
  6. Fri Nov 15 15:29:31 2024 Using 46 OpenMP threads
  7. Fri Nov 15 15:29:31 2024 factoring 1094444736754254703544086720420023358145207652108178230042768067484643341017797702122259209620932091789911916900320924153657790414969192255655467872902465367065711156591456399701333827832364318569764843211233319607452206551548814428533627997241569091591581 (256 digits)
  8. Fri Nov 15 15:29:32 2024 no P-1/P+1/ECM available, skipping
  9. Fri Nov 15 15:29:32 2024 commencing number field sieve (256-digit input)
  10. Fri Nov 15 15:29:32 2024 R0: 22835963083295358096932575511191922182123945984
  11. Fri Nov 15 15:29:32 2024 R1: -5474401089420219382077155933569751763
  12. Fri Nov 15 15:29:32 2024 A0: 4
  13. Fri Nov 15 15:29:32 2024 A1: 0
  14. Fri Nov 15 15:29:32 2024 A2: 0
  15. Fri Nov 15 15:29:32 2024 A3: 6
  16. Fri Nov 15 15:29:32 2024 A4: 0
  17. Fri Nov 15 15:29:32 2024 A5: 0
  18. Fri Nov 15 15:29:32 2024 A6: 3
  19. Fri Nov 15 15:29:32 2024 skew 1.05, size 1.240e-13, alpha 1.048, combined = 2.337e-14 rroots = 0
  20. Fri Nov 15 15:29:32 2024
  21. Fri Nov 15 15:29:32 2024 commencing relation filtering
  22. Fri Nov 15 15:29:32 2024 setting target matrix density to 110.0
  23. Fri Nov 15 15:29:32 2024 estimated available RAM is 192069.2 MB
  24. Fri Nov 15 15:29:32 2024 commencing duplicate removal, pass 1
  25. Fri Nov 15 15:31:12 2024 error -1 reading relation 152356071
  26. Fri Nov 15 15:35:44 2024 error -5 reading relation 551551660
  27. Fri Nov 15 15:37:16 2024 skipped 6773 relations with b > 2^32
  28. Fri Nov 15 15:37:16 2024 skipped 2 relations with composite factors
  29. Fri Nov 15 15:37:16 2024 skipped 1003 malformed relations
  30. Fri Nov 15 15:37:16 2024 found 25855833 hash collisions in 684095107 relations
  31. Fri Nov 15 15:37:29 2024 added 812988 free relations
  32. Fri Nov 15 15:37:29 2024 commencing duplicate removal, pass 2
  33. Fri Nov 15 15:40:33 2024 found 0 duplicates and 684908095 unique relations
  34. Fri Nov 15 15:40:33 2024 memory use: 2089.5 MB
  35. Fri Nov 15 15:40:33 2024 reading ideals above 720000
  36. Fri Nov 15 15:40:33 2024 commencing singleton removal, initial pass
  37. Fri Nov 15 16:13:39 2024 memory use: 11024.0 MB
  38. Fri Nov 15 16:13:40 2024 reading all ideals from disk
  39. Fri Nov 15 16:14:00 2024 memory use: 34551.8 MB
  40. Fri Nov 15 16:14:50 2024 keeping 618185606 ideals with weight <= 200, target excess is 3504887
  41. Fri Nov 15 16:16:03 2024 commencing in-memory singleton removal
  42. Fri Nov 15 16:16:10 2024 begin with 684908095 relations and 618185606 unique ideals
  43. Fri Nov 15 16:16:41 2024 reduce to 431004538 relations and 338727304 ideals in 14 passes
  44. Fri Nov 15 16:16:41 2024 max relations containing the same ideal: 157
  45. Fri Nov 15 16:18:21 2024 removing 14160778 relations and 12160778 ideals in 2000000 cliques
  46. Fri Nov 15 16:18:37 2024 commencing in-memory singleton removal
  47. Fri Nov 15 16:18:41 2024 begin with 416843760 relations and 338727304 unique ideals
  48. Fri Nov 15 16:18:57 2024 reduce to 416512460 relations and 326233076 ideals in 8 passes
  49. Fri Nov 15 16:18:57 2024 max relations containing the same ideal: 156
  50. Fri Nov 15 16:20:35 2024 removing 10709215 relations and 8709215 ideals in 2000000 cliques
  51. Fri Nov 15 16:20:49 2024 commencing in-memory singleton removal
  52. Fri Nov 15 16:20:53 2024 begin with 405803245 relations and 326233076 unique ideals
  53. Fri Nov 15 16:21:08 2024 reduce to 405593462 relations and 317312918 ideals in 7 passes
  54. Fri Nov 15 16:21:08 2024 max relations containing the same ideal: 152
  55. Fri Nov 15 16:22:42 2024 removing 9598910 relations and 7598910 ideals in 2000000 cliques
  56. Fri Nov 15 16:22:55 2024 commencing in-memory singleton removal
  57. Fri Nov 15 16:22:59 2024 begin with 395994552 relations and 317312918 unique ideals
  58. Fri Nov 15 16:23:13 2024 reduce to 395815514 relations and 309534016 ideals in 7 passes
  59. Fri Nov 15 16:23:13 2024 max relations containing the same ideal: 149
  60. Fri Nov 15 16:24:48 2024 removing 8965894 relations and 6965894 ideals in 2000000 cliques
  61. Fri Nov 15 16:25:01 2024 commencing in-memory singleton removal
  62. Fri Nov 15 16:25:05 2024 begin with 386849620 relations and 309534016 unique ideals
  63. Fri Nov 15 16:25:18 2024 reduce to 386686997 relations and 302404636 ideals in 6 passes
  64. Fri Nov 15 16:25:18 2024 max relations containing the same ideal: 148
  65. Fri Nov 15 16:26:46 2024 removing 8531940 relations and 6531940 ideals in 2000000 cliques
  66. Fri Nov 15 16:27:00 2024 commencing in-memory singleton removal
  67. Fri Nov 15 16:27:04 2024 begin with 378155057 relations and 302404636 unique ideals
  68. Fri Nov 15 16:27:18 2024 reduce to 378002249 relations and 295719146 ideals in 7 passes
  69. Fri Nov 15 16:27:18 2024 max relations containing the same ideal: 146
  70. Fri Nov 15 16:28:48 2024 removing 8217328 relations and 6217328 ideals in 2000000 cliques
  71. Fri Nov 15 16:29:00 2024 commencing in-memory singleton removal
  72. Fri Nov 15 16:29:04 2024 begin with 369784921 relations and 295719146 unique ideals
  73. Fri Nov 15 16:29:17 2024 reduce to 369639107 relations and 289355263 ideals in 7 passes
  74. Fri Nov 15 16:29:17 2024 max relations containing the same ideal: 144
  75. Fri Nov 15 16:30:51 2024 removing 7971955 relations and 5971955 ideals in 2000000 cliques
  76. Fri Nov 15 16:31:03 2024 commencing in-memory singleton removal
  77. Fri Nov 15 16:31:06 2024 begin with 361667152 relations and 289355263 unique ideals
  78. Fri Nov 15 16:31:19 2024 reduce to 361526124 relations and 283241498 ideals in 7 passes
  79. Fri Nov 15 16:31:19 2024 max relations containing the same ideal: 143
  80. Fri Nov 15 16:32:45 2024 removing 7776391 relations and 5776391 ideals in 2000000 cliques
  81. Fri Nov 15 16:32:57 2024 commencing in-memory singleton removal
  82. Fri Nov 15 16:33:00 2024 begin with 353749733 relations and 283241498 unique ideals
  83. Fri Nov 15 16:33:13 2024 reduce to 353611957 relations and 277326595 ideals in 7 passes
  84. Fri Nov 15 16:33:13 2024 max relations containing the same ideal: 142
  85. Fri Nov 15 16:34:38 2024 removing 7619717 relations and 5619717 ideals in 2000000 cliques
  86. Fri Nov 15 16:34:49 2024 commencing in-memory singleton removal
  87. Fri Nov 15 16:34:53 2024 begin with 345992240 relations and 277326595 unique ideals
  88. Fri Nov 15 16:35:05 2024 reduce to 345857847 relations and 271571746 ideals in 7 passes
  89. Fri Nov 15 16:35:05 2024 max relations containing the same ideal: 139
  90. Fri Nov 15 16:36:24 2024 removing 7494076 relations and 5494076 ideals in 2000000 cliques
  91. Fri Nov 15 16:36:35 2024 commencing in-memory singleton removal
  92. Fri Nov 15 16:36:39 2024 begin with 338363771 relations and 271571746 unique ideals
  93. Fri Nov 15 16:36:49 2024 reduce to 338230433 relations and 265943583 ideals in 6 passes
  94. Fri Nov 15 16:36:49 2024 max relations containing the same ideal: 137
  95. Fri Nov 15 16:38:11 2024 removing 7385769 relations and 5385769 ideals in 2000000 cliques
  96. Fri Nov 15 16:38:22 2024 commencing in-memory singleton removal
  97. Fri Nov 15 16:38:26 2024 begin with 330844664 relations and 265943583 unique ideals
  98. Fri Nov 15 16:38:36 2024 reduce to 330711669 relations and 260424063 ideals in 6 passes
  99. Fri Nov 15 16:38:36 2024 max relations containing the same ideal: 136
  100. Fri Nov 15 16:39:57 2024 removing 7293691 relations and 5293691 ideals in 2000000 cliques
  101. Fri Nov 15 16:40:08 2024 commencing in-memory singleton removal
  102. Fri Nov 15 16:40:11 2024 begin with 323417978 relations and 260424063 unique ideals
  103. Fri Nov 15 16:40:21 2024 reduce to 323285277 relations and 254996835 ideals in 6 passes
  104. Fri Nov 15 16:40:21 2024 max relations containing the same ideal: 132
  105. Fri Nov 15 16:41:39 2024 removing 7211848 relations and 5211848 ideals in 2000000 cliques
  106. Fri Nov 15 16:41:51 2024 commencing in-memory singleton removal
  107. Fri Nov 15 16:41:54 2024 begin with 316073429 relations and 254996835 unique ideals
  108. Fri Nov 15 16:42:04 2024 reduce to 315940454 relations and 249651186 ideals in 6 passes
  109. Fri Nov 15 16:42:04 2024 max relations containing the same ideal: 130
  110. Fri Nov 15 16:43:22 2024 removing 7148155 relations and 5148155 ideals in 2000000 cliques
  111. Fri Nov 15 16:43:33 2024 commencing in-memory singleton removal
  112. Fri Nov 15 16:43:36 2024 begin with 308792299 relations and 249651186 unique ideals
  113. Fri Nov 15 16:43:46 2024 reduce to 308659694 relations and 244369531 ideals in 6 passes
  114. Fri Nov 15 16:43:46 2024 max relations containing the same ideal: 128
  115. Fri Nov 15 16:45:02 2024 removing 7091354 relations and 5091354 ideals in 2000000 cliques
  116. Fri Nov 15 16:45:13 2024 commencing in-memory singleton removal
  117. Fri Nov 15 16:45:15 2024 begin with 301568340 relations and 244369531 unique ideals
  118. Fri Nov 15 16:45:25 2024 reduce to 301434447 relations and 239143379 ideals in 6 passes
  119. Fri Nov 15 16:45:25 2024 max relations containing the same ideal: 126
  120. Fri Nov 15 16:46:36 2024 removing 7041104 relations and 5041104 ideals in 2000000 cliques
  121. Fri Nov 15 16:46:46 2024 commencing in-memory singleton removal
  122. Fri Nov 15 16:46:49 2024 begin with 294393343 relations and 239143379 unique ideals
  123. Fri Nov 15 16:46:59 2024 reduce to 294257763 relations and 233965711 ideals in 6 passes
  124. Fri Nov 15 16:46:59 2024 max relations containing the same ideal: 125
  125. Fri Nov 15 16:48:10 2024 removing 7001017 relations and 5001017 ideals in 2000000 cliques
  126. Fri Nov 15 16:48:20 2024 commencing in-memory singleton removal
  127. Fri Nov 15 16:48:23 2024 begin with 287256746 relations and 233965711 unique ideals
  128. Fri Nov 15 16:48:33 2024 reduce to 287120246 relations and 228827222 ideals in 6 passes
  129. Fri Nov 15 16:48:33 2024 max relations containing the same ideal: 124
  130. Fri Nov 15 16:49:43 2024 removing 6964876 relations and 4964876 ideals in 2000000 cliques
  131. Fri Nov 15 16:49:53 2024 commencing in-memory singleton removal
  132. Fri Nov 15 16:49:55 2024 begin with 280155370 relations and 228827222 unique ideals
  133. Fri Nov 15 16:50:05 2024 reduce to 280016556 relations and 223722487 ideals in 6 passes
  134. Fri Nov 15 16:50:05 2024 max relations containing the same ideal: 121
  135. Fri Nov 15 16:51:14 2024 removing 6937848 relations and 4937848 ideals in 2000000 cliques
  136. Fri Nov 15 16:51:24 2024 commencing in-memory singleton removal
  137. Fri Nov 15 16:51:27 2024 begin with 273078708 relations and 223722487 unique ideals
  138. Fri Nov 15 16:51:36 2024 reduce to 272937750 relations and 218642549 ideals in 6 passes
  139. Fri Nov 15 16:51:36 2024 max relations containing the same ideal: 118
  140. Fri Nov 15 16:52:39 2024 removing 6913792 relations and 4913792 ideals in 2000000 cliques
  141. Fri Nov 15 16:52:49 2024 commencing in-memory singleton removal
  142. Fri Nov 15 16:52:51 2024 begin with 266023958 relations and 218642549 unique ideals
  143. Fri Nov 15 16:53:01 2024 reduce to 265881445 relations and 213585132 ideals in 7 passes
  144. Fri Nov 15 16:53:01 2024 max relations containing the same ideal: 115
  145. Fri Nov 15 16:54:04 2024 removing 6887397 relations and 4887397 ideals in 2000000 cliques
  146. Fri Nov 15 16:54:13 2024 commencing in-memory singleton removal
  147. Fri Nov 15 16:54:16 2024 begin with 258994048 relations and 213585132 unique ideals
  148. Fri Nov 15 16:54:24 2024 reduce to 258848098 relations and 208550598 ideals in 6 passes
  149. Fri Nov 15 16:54:24 2024 max relations containing the same ideal: 113
  150. Fri Nov 15 16:55:28 2024 removing 6872636 relations and 4872636 ideals in 2000000 cliques
  151. Fri Nov 15 16:55:37 2024 commencing in-memory singleton removal
  152. Fri Nov 15 16:55:39 2024 begin with 251975462 relations and 208550598 unique ideals
  153. Fri Nov 15 16:55:48 2024 reduce to 251827092 relations and 203528365 ideals in 6 passes
  154. Fri Nov 15 16:55:48 2024 max relations containing the same ideal: 110
  155. Fri Nov 15 16:56:46 2024 removing 6864667 relations and 4864667 ideals in 2000000 cliques
  156. Fri Nov 15 16:56:55 2024 commencing in-memory singleton removal
  157. Fri Nov 15 16:56:58 2024 begin with 244962425 relations and 203528365 unique ideals
  158. Fri Nov 15 16:57:06 2024 reduce to 244811309 relations and 198511240 ideals in 6 passes
  159. Fri Nov 15 16:57:06 2024 max relations containing the same ideal: 108
  160. Fri Nov 15 16:58:02 2024 removing 6854688 relations and 4854688 ideals in 2000000 cliques
  161. Fri Nov 15 16:58:11 2024 commencing in-memory singleton removal
  162. Fri Nov 15 16:58:13 2024 begin with 237956621 relations and 198511240 unique ideals
  163. Fri Nov 15 16:58:22 2024 reduce to 237801931 relations and 193500500 ideals in 7 passes
  164. Fri Nov 15 16:58:22 2024 max relations containing the same ideal: 108
  165. Fri Nov 15 16:59:21 2024 removing 6852944 relations and 4852944 ideals in 2000000 cliques
  166. Fri Nov 15 16:59:29 2024 commencing in-memory singleton removal
  167. Fri Nov 15 16:59:31 2024 begin with 230948987 relations and 193500500 unique ideals
  168. Fri Nov 15 16:59:40 2024 reduce to 230789501 relations and 188486598 ideals in 7 passes
  169. Fri Nov 15 16:59:40 2024 max relations containing the same ideal: 108
  170. Fri Nov 15 17:00:40 2024 removing 6852703 relations and 4852703 ideals in 2000000 cliques
  171. Fri Nov 15 17:00:48 2024 commencing in-memory singleton removal
  172. Fri Nov 15 17:00:50 2024 begin with 223936798 relations and 188486598 unique ideals
  173. Fri Nov 15 17:00:58 2024 reduce to 223773374 relations and 183468919 ideals in 7 passes
  174. Fri Nov 15 17:00:58 2024 max relations containing the same ideal: 105
  175. Fri Nov 15 17:01:54 2024 removing 6856191 relations and 4856191 ideals in 2000000 cliques
  176. Fri Nov 15 17:02:02 2024 commencing in-memory singleton removal
  177. Fri Nov 15 17:02:04 2024 begin with 216917183 relations and 183468919 unique ideals
  178. Fri Nov 15 17:02:11 2024 reduce to 216748870 relations and 178442803 ideals in 7 passes
  179. Fri Nov 15 17:02:11 2024 max relations containing the same ideal: 102
  180. Fri Nov 15 17:03:06 2024 removing 6863736 relations and 4863736 ideals in 2000000 cliques
  181. Fri Nov 15 17:03:14 2024 commencing in-memory singleton removal
  182. Fri Nov 15 17:03:16 2024 begin with 209885134 relations and 178442803 unique ideals
  183. Fri Nov 15 17:03:22 2024 reduce to 209712137 relations and 173404355 ideals in 6 passes
  184. Fri Nov 15 17:03:22 2024 max relations containing the same ideal: 99
  185. Fri Nov 15 17:04:16 2024 removing 6873978 relations and 4873978 ideals in 2000000 cliques
  186. Fri Nov 15 17:04:24 2024 commencing in-memory singleton removal
  187. Fri Nov 15 17:04:26 2024 begin with 202838159 relations and 173404355 unique ideals
  188. Fri Nov 15 17:04:32 2024 reduce to 202660043 relations and 168350381 ideals in 6 passes
  189. Fri Nov 15 17:04:32 2024 max relations containing the same ideal: 97
  190. Fri Nov 15 17:05:24 2024 removing 6887888 relations and 4887888 ideals in 2000000 cliques
  191. Fri Nov 15 17:05:31 2024 commencing in-memory singleton removal
  192. Fri Nov 15 17:05:33 2024 begin with 195772155 relations and 168350381 unique ideals
  193. Fri Nov 15 17:05:39 2024 reduce to 195588323 relations and 163276620 ideals in 6 passes
  194. Fri Nov 15 17:05:39 2024 max relations containing the same ideal: 94
  195. Fri Nov 15 17:06:30 2024 removing 6904699 relations and 4904699 ideals in 2000000 cliques
  196. Fri Nov 15 17:06:37 2024 commencing in-memory singleton removal
  197. Fri Nov 15 17:06:39 2024 begin with 188683624 relations and 163276620 unique ideals
  198. Fri Nov 15 17:06:45 2024 reduce to 188492160 relations and 158178382 ideals in 6 passes
  199. Fri Nov 15 17:06:45 2024 max relations containing the same ideal: 91
  200. Fri Nov 15 17:07:33 2024 removing 6927657 relations and 4927657 ideals in 2000000 cliques
  201. Fri Nov 15 17:07:40 2024 commencing in-memory singleton removal
  202. Fri Nov 15 17:07:42 2024 begin with 181564503 relations and 158178382 unique ideals
  203. Fri Nov 15 17:07:48 2024 reduce to 181364789 relations and 153048904 ideals in 6 passes
  204. Fri Nov 15 17:07:48 2024 max relations containing the same ideal: 91
  205. Fri Nov 15 17:08:34 2024 removing 6958073 relations and 4958073 ideals in 2000000 cliques
  206. Fri Nov 15 17:08:41 2024 commencing in-memory singleton removal
  207. Fri Nov 15 17:08:43 2024 begin with 174406716 relations and 153048904 unique ideals
  208. Fri Nov 15 17:08:49 2024 reduce to 174200576 relations and 147882362 ideals in 7 passes
  209. Fri Nov 15 17:08:49 2024 max relations containing the same ideal: 87
  210. Fri Nov 15 17:09:33 2024 removing 6980836 relations and 4980836 ideals in 2000000 cliques
  211. Fri Nov 15 17:09:39 2024 commencing in-memory singleton removal
  212. Fri Nov 15 17:09:41 2024 begin with 167219740 relations and 147882362 unique ideals
  213. Fri Nov 15 17:09:47 2024 reduce to 167004511 relations and 142683733 ideals in 7 passes
  214. Fri Nov 15 17:09:47 2024 max relations containing the same ideal: 86
  215. Fri Nov 15 17:10:31 2024 removing 7018877 relations and 5018877 ideals in 2000000 cliques
  216. Fri Nov 15 17:10:37 2024 commencing in-memory singleton removal
  217. Fri Nov 15 17:10:39 2024 begin with 159985634 relations and 142683733 unique ideals
  218. Fri Nov 15 17:10:45 2024 reduce to 159760875 relations and 137437394 ideals in 8 passes
  219. Fri Nov 15 17:10:45 2024 max relations containing the same ideal: 81
  220. Fri Nov 15 17:11:28 2024 removing 7059044 relations and 5059044 ideals in 2000000 cliques
  221. Fri Nov 15 17:11:34 2024 commencing in-memory singleton removal
  222. Fri Nov 15 17:11:36 2024 begin with 152701831 relations and 137437394 unique ideals
  223. Fri Nov 15 17:11:41 2024 reduce to 152464107 relations and 132137758 ideals in 7 passes
  224. Fri Nov 15 17:11:41 2024 max relations containing the same ideal: 80
  225. Fri Nov 15 17:12:22 2024 removing 7101015 relations and 5101015 ideals in 2000000 cliques
  226. Fri Nov 15 17:12:28 2024 commencing in-memory singleton removal
  227. Fri Nov 15 17:12:30 2024 begin with 145363092 relations and 132137758 unique ideals
  228. Fri Nov 15 17:12:34 2024 reduce to 145113555 relations and 126784126 ideals in 6 passes
  229. Fri Nov 15 17:12:34 2024 max relations containing the same ideal: 76
  230. Fri Nov 15 17:13:12 2024 removing 7150372 relations and 5150372 ideals in 2000000 cliques
  231. Fri Nov 15 17:13:18 2024 commencing in-memory singleton removal
  232. Fri Nov 15 17:13:19 2024 begin with 137963183 relations and 126784126 unique ideals
  233. Fri Nov 15 17:13:24 2024 reduce to 137697660 relations and 121364834 ideals in 7 passes
  234. Fri Nov 15 17:13:24 2024 max relations containing the same ideal: 74
  235. Fri Nov 15 17:14:01 2024 removing 7205475 relations and 5205475 ideals in 2000000 cliques
  236. Fri Nov 15 17:14:07 2024 commencing in-memory singleton removal
  237. Fri Nov 15 17:14:08 2024 begin with 130492185 relations and 121364834 unique ideals
  238. Fri Nov 15 17:14:13 2024 reduce to 130211762 relations and 115875183 ideals in 9 passes
  239. Fri Nov 15 17:14:13 2024 max relations containing the same ideal: 73
  240. Fri Nov 15 17:14:49 2024 removing 7269963 relations and 5269963 ideals in 2000000 cliques
  241. Fri Nov 15 17:14:54 2024 commencing in-memory singleton removal
  242. Fri Nov 15 17:14:56 2024 begin with 122941799 relations and 115875183 unique ideals
  243. Fri Nov 15 17:15:00 2024 reduce to 122641863 relations and 110301027 ideals in 8 passes
  244. Fri Nov 15 17:15:00 2024 max relations containing the same ideal: 68
  245. Fri Nov 15 17:15:34 2024 removing 7335165 relations and 5335165 ideals in 2000000 cliques
  246. Fri Nov 15 17:15:39 2024 commencing in-memory singleton removal
  247. Fri Nov 15 17:15:41 2024 begin with 115306698 relations and 110301027 unique ideals
  248. Fri Nov 15 17:15:45 2024 reduce to 114985015 relations and 104639381 ideals in 7 passes
  249. Fri Nov 15 17:15:45 2024 max relations containing the same ideal: 65
  250. Fri Nov 15 17:16:16 2024 removing 7412479 relations and 5412479 ideals in 2000000 cliques
  251. Fri Nov 15 17:16:21 2024 commencing in-memory singleton removal
  252. Fri Nov 15 17:16:22 2024 begin with 107572536 relations and 104639381 unique ideals
  253. Fri Nov 15 17:16:26 2024 reduce to 107223729 relations and 98872702 ideals in 8 passes
  254. Fri Nov 15 17:16:26 2024 max relations containing the same ideal: 62
  255. Fri Nov 15 17:16:56 2024 removing 7498614 relations and 5498614 ideals in 2000000 cliques
  256. Fri Nov 15 17:17:00 2024 commencing in-memory singleton removal
  257. Fri Nov 15 17:17:01 2024 begin with 99725115 relations and 98872702 unique ideals
  258. Fri Nov 15 17:17:05 2024 reduce to 99343814 relations and 92986574 ideals in 7 passes
  259. Fri Nov 15 17:17:05 2024 max relations containing the same ideal: 60
  260. Fri Nov 15 17:17:31 2024 removing 7600047 relations and 5600047 ideals in 2000000 cliques
  261. Fri Nov 15 17:17:36 2024 commencing in-memory singleton removal
  262. Fri Nov 15 17:17:37 2024 begin with 91743767 relations and 92986574 unique ideals
  263. Fri Nov 15 17:17:40 2024 reduce to 91318726 relations and 86954300 ideals in 8 passes
  264. Fri Nov 15 17:17:40 2024 max relations containing the same ideal: 57
  265. Fri Nov 15 17:18:06 2024 removing 1587418 relations and 1288661 ideals in 298757 cliques
  266. Fri Nov 15 17:18:09 2024 commencing in-memory singleton removal
  267. Fri Nov 15 17:18:10 2024 begin with 89731308 relations and 86954300 unique ideals
  268. Fri Nov 15 17:18:13 2024 reduce to 89713439 relations and 85647732 ideals in 6 passes
  269. Fri Nov 15 17:18:13 2024 max relations containing the same ideal: 56
  270. Fri Nov 15 17:18:25 2024 relations with 0 large ideals: 89148
  271. Fri Nov 15 17:18:25 2024 relations with 1 large ideals: 141546
  272. Fri Nov 15 17:18:25 2024 relations with 2 large ideals: 1563080
  273. Fri Nov 15 17:18:25 2024 relations with 3 large ideals: 7146014
  274. Fri Nov 15 17:18:25 2024 relations with 4 large ideals: 17245270
  275. Fri Nov 15 17:18:25 2024 relations with 5 large ideals: 24470953
  276. Fri Nov 15 17:18:25 2024 relations with 6 large ideals: 21485577
  277. Fri Nov 15 17:18:25 2024 relations with 7+ large ideals: 17571851
  278. Fri Nov 15 17:18:25 2024 commencing 2-way merge
  279. Fri Nov 15 17:19:07 2024 reduce to 56616153 relation sets and 52550446 unique ideals
  280. Fri Nov 15 17:19:07 2024 commencing full merge
  281. Fri Nov 15 17:32:57 2024 memory use: 6481.1 MB
  282. Fri Nov 15 17:33:01 2024 found 26770343 cycles, need 26248646
  283. Fri Nov 15 17:33:10 2024 weight of 26248646 cycles is about 2887460472 (110.00/cycle)
  284. Fri Nov 15 17:33:10 2024 distribution of cycle lengths:
  285. Fri Nov 15 17:33:10 2024 1 relations: 1580558
  286. Fri Nov 15 17:33:10 2024 2 relations: 1896141
  287. Fri Nov 15 17:33:10 2024 3 relations: 2088809
  288. Fri Nov 15 17:33:10 2024 4 relations: 2112009
  289. Fri Nov 15 17:33:10 2024 5 relations: 2131650
  290. Fri Nov 15 17:33:10 2024 6 relations: 2104337
  291. Fri Nov 15 17:33:10 2024 7 relations: 2028968
  292. Fri Nov 15 17:33:10 2024 8 relations: 1927378
  293. Fri Nov 15 17:33:10 2024 9 relations: 1786783
  294. Fri Nov 15 17:33:10 2024 10+ relations: 8592013
  295. Fri Nov 15 17:33:10 2024 heaviest cycle: 24 relations
  296. Fri Nov 15 17:33:24 2024 commencing cycle optimization
  297. Fri Nov 15 17:34:07 2024 start with 202165468 relations
  298. Fri Nov 15 17:39:56 2024 pruned 7695954 relations
  299. Fri Nov 15 17:39:56 2024 memory use: 5758.3 MB
  300. Fri Nov 15 17:39:56 2024 distribution of cycle lengths:
  301. Fri Nov 15 17:39:56 2024 1 relations: 1580558
  302. Fri Nov 15 17:39:56 2024 2 relations: 1941356
  303. Fri Nov 15 17:39:56 2024 3 relations: 2173533
  304. Fri Nov 15 17:39:56 2024 4 relations: 2192448
  305. Fri Nov 15 17:39:56 2024 5 relations: 2229801
  306. Fri Nov 15 17:39:56 2024 6 relations: 2194377
  307. Fri Nov 15 17:39:56 2024 7 relations: 2123074
  308. Fri Nov 15 17:39:56 2024 8 relations: 2006260
  309. Fri Nov 15 17:39:56 2024 9 relations: 1851272
  310. Fri Nov 15 17:39:56 2024 10+ relations: 7955967
  311. Fri Nov 15 17:39:56 2024 heaviest cycle: 24 relations
  312. Fri Nov 15 17:40:44 2024 RelProcTime: 7872
  313. Fri Nov 15 17:40:44 2024 elapsed time 02:11:13
  314. Fri Nov 15 17:40:54 2024
  315. Fri Nov 15 17:40:54 2024
  316. Fri Nov 15 17:40:54 2024 Msieve v. 1.54 (SVN Unversioned directory)
  317. Fri Nov 15 17:40:54 2024 random seeds: d3d96363 f2d626cf
  318. Fri Nov 15 17:40:54 2024 MPI process 0 of 1
  319. Fri Nov 15 17:40:54 2024 Using 46 OpenMP threads
  320. Fri Nov 15 17:40:54 2024 factoring 1094444736754254703544086720420023358145207652108178230042768067484643341017797702122259209620932091789911916900320924153657790414969192255655467872902465367065711156591456399701333827832364318569764843211233319607452206551548814428533627997241569091591581 (256 digits)
  321. Fri Nov 15 17:40:55 2024 no P-1/P+1/ECM available, skipping
  322. Fri Nov 15 17:40:55 2024 commencing number field sieve (256-digit input)
  323. Fri Nov 15 17:40:55 2024 R0: 22835963083295358096932575511191922182123945984
  324. Fri Nov 15 17:40:55 2024 R1: -5474401089420219382077155933569751763
  325. Fri Nov 15 17:40:55 2024 A0: 4
  326. Fri Nov 15 17:40:55 2024 A1: 0
  327. Fri Nov 15 17:40:55 2024 A2: 0
  328. Fri Nov 15 17:40:55 2024 A3: 6
  329. Fri Nov 15 17:40:55 2024 A4: 0
  330. Fri Nov 15 17:40:55 2024 A5: 0
  331. Fri Nov 15 17:40:55 2024 A6: 3
  332. Fri Nov 15 17:40:55 2024 skew 1.05, size 1.240e-13, alpha 1.048, combined = 2.337e-14 rroots = 0
  333. Fri Nov 15 17:40:55 2024
  334. Fri Nov 15 17:40:55 2024 commencing linear algebra
  335. Fri Nov 15 17:40:55 2024 using VBITS=128
  336. Fri Nov 15 17:40:55 2024 stopping after matrix build
  337. Fri Nov 15 17:40:55 2024 initialized process (0,0) of 1 x 1 grid
  338. Fri Nov 15 17:40:59 2024 read 26248646 cycles
  339. Fri Nov 15 17:41:44 2024 cycles contain 87715396 unique relations
  340. Fri Nov 15 17:43:22 2024 read 87715396 relations
  341. Fri Nov 15 17:43:29 2024 using 20 quadratic characters above 4294917295
  342. Fri Nov 15 17:43:40 2024 building initial matrix
  343. Fri Nov 15 18:02:31 2024 memory use: 11271.0 MB
  344. Fri Nov 15 18:02:56 2024 read 26248646 cycles
  345. Fri Nov 15 18:03:00 2024 matrix is 26248467 x 26248646 (11530.1 MB) with weight 3309648322 (126.09/col)
  346. Fri Nov 15 18:03:00 2024 sparse part has weight 2733817519 (104.15/col)
  347. Fri Nov 15 18:08:56 2024 filtering completed in 2 passes
  348. Fri Nov 15 18:09:00 2024 matrix is 26245441 x 26245619 (11529.8 MB) with weight 3309537983 (126.10/col)
  349. Fri Nov 15 18:09:00 2024 sparse part has weight 2733771213 (104.16/col)
  350. Fri Nov 15 18:10:12 2024 BLanczosTime: 1757
  351. Fri Nov 15 18:10:12 2024 elapsed time 00:29:18
  352. Fri Nov 15 19:45:05 2024
  353. Fri Nov 15 19:45:05 2024
  354. Fri Nov 15 19:45:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  355. Fri Nov 15 19:45:05 2024 random seeds: c541aab3 398fba9f
  356. Fri Nov 15 19:45:05 2024 MPI process 0 of 2
  357. Fri Nov 15 19:45:05 2024 Using 10 OpenMP threads
  358. Fri Nov 15 19:45:05 2024 factoring 1094444736754254703544086720420023358145207652108178230042768067484643341017797702122259209620932091789911916900320924153657790414969192255655467872902465367065711156591456399701333827832364318569764843211233319607452206551548814428533627997241569091591581 (256 digits)
  359. Fri Nov 15 19:45:06 2024 no P-1/P+1/ECM available, skipping
  360. Fri Nov 15 19:45:06 2024 commencing number field sieve (256-digit input)
  361. Fri Nov 15 19:45:06 2024 R0: 22835963083295358096932575511191922182123945984
  362. Fri Nov 15 19:45:06 2024 R1: -5474401089420219382077155933569751763
  363. Fri Nov 15 19:45:06 2024 A0: 4
  364. Fri Nov 15 19:45:06 2024 A1: 0
  365. Fri Nov 15 19:45:06 2024 A2: 0
  366. Fri Nov 15 19:45:06 2024 A3: 6
  367. Fri Nov 15 19:45:06 2024 A4: 0
  368. Fri Nov 15 19:45:06 2024 A5: 0
  369. Fri Nov 15 19:45:06 2024 A6: 3
  370. Fri Nov 15 19:45:06 2024 skew 1.05, size 1.240e-13, alpha 1.048, combined = 2.337e-14 rroots = 0
  371. Fri Nov 15 19:45:06 2024
  372. Fri Nov 15 19:45:06 2024 commencing linear algebra
  373. Fri Nov 15 19:45:06 2024 using VBITS=256
  374. Fri Nov 15 19:45:06 2024 skipping matrix build
  375. Fri Nov 15 19:45:06 2024 initialized process (0,0) of 1 x 2 grid
  376. Fri Nov 15 19:45:15 2024 matrix starts at (0, 0)
  377. Fri Nov 15 19:45:17 2024 matrix is 26245441 x 13122775 (5764.9 MB) with weight 1654764703 (126.10/col)
  378. Fri Nov 15 19:45:17 2024 sparse part has weight 1366885773 (104.16/col)
  379. Fri Nov 15 19:45:17 2024 saving the first 240 matrix rows for later
  380. Fri Nov 15 19:45:21 2024 matrix includes 256 packed rows
  381. Fri Nov 15 19:45:25 2024 matrix is 26245201 x 13122775 (5334.7 MB) with weight 1249117044 (95.19/col)
  382. Fri Nov 15 19:45:25 2024 sparse part has weight 1188506287 (90.57/col)
  383. Fri Nov 15 19:45:25 2024 using GPU 0 (NVIDIA A100-SXM4-40GB)
  384. Fri Nov 15 19:45:25 2024 selected card has CUDA arch 8.0
  385. Fri Nov 15 19:47:08 2024 commencing Lanczos iteration
  386. Fri Nov 15 19:47:10 2024 memory use: 13623.0 MB
  387. Fri Nov 15 19:47:37 2024 linear algebra at 0.1%, ETA 6h10m
  388. Fri Nov 15 19:48:16 2024 checking every 70000 dimensions, checkpointing every 4270000 dimensions
  389. Sat Nov 16 01:54:47 2024 lanczos halted after 102829 iterations (dim = 26245195)
  390. Sat Nov 16 01:56:14 2024 recovered 35 nontrivial dependencies
  391. Sat Nov 16 01:56:15 2024 BLanczosTime: 22269
  392. Sat Nov 16 01:56:15 2024 elapsed time 06:11:10
  393. Sat Nov 16 01:56:16 2024
  394. Sat Nov 16 01:56:16 2024
  395. Sat Nov 16 01:56:16 2024 Msieve v. 1.54 (SVN Unversioned directory)
  396. Sat Nov 16 01:56:16 2024 random seeds: 78ac5d5b bb3f6704
  397. Sat Nov 16 01:56:16 2024 MPI process 0 of 1
  398. Sat Nov 16 01:56:16 2024 Using 32 OpenMP threads
  399. Sat Nov 16 01:56:16 2024 factoring 1094444736754254703544086720420023358145207652108178230042768067484643341017797702122259209620932091789911916900320924153657790414969192255655467872902465367065711156591456399701333827832364318569764843211233319607452206551548814428533627997241569091591581 (256 digits)
  400. Sat Nov 16 01:56:17 2024 no P-1/P+1/ECM available, skipping
  401. Sat Nov 16 01:56:17 2024 commencing number field sieve (256-digit input)
  402. Sat Nov 16 01:56:17 2024 R0: 22835963083295358096932575511191922182123945984
  403. Sat Nov 16 01:56:17 2024 R1: -5474401089420219382077155933569751763
  404. Sat Nov 16 01:56:17 2024 A0: 4
  405. Sat Nov 16 01:56:17 2024 A1: 0
  406. Sat Nov 16 01:56:17 2024 A2: 0
  407. Sat Nov 16 01:56:17 2024 A3: 6
  408. Sat Nov 16 01:56:17 2024 A4: 0
  409. Sat Nov 16 01:56:17 2024 A5: 0
  410. Sat Nov 16 01:56:17 2024 A6: 3
  411. Sat Nov 16 01:56:17 2024 skew 1.05, size 1.240e-13, alpha 1.048, combined = 2.337e-14 rroots = 0
  412. Sat Nov 16 01:56:17 2024
  413. Sat Nov 16 01:56:17 2024 commencing square root phase
  414. Sat Nov 16 01:56:17 2024 reading relations for dependency 1
  415. Sat Nov 16 01:56:20 2024 read 13116435 cycles
  416. Sat Nov 16 01:56:45 2024 cycles contain 43840848 unique relations
  417. Sat Nov 16 01:58:15 2024 read 43840848 relations
  418. Sat Nov 16 02:01:11 2024 multiplying 43840848 relations
  419. Sat Nov 16 02:04:07 2024 multiply complete, coefficients have about 1235.13 million bits
  420. Sat Nov 16 02:04:11 2024 initial square root is modulo 347099
  421. Sat Nov 16 02:12:49 2024 sqrtTime: 992
  422. Sat Nov 16 02:12:49 2024 p69 factor: 608542602286609589320217663420658348318846670001842283129461270639003
  423. Sat Nov 16 02:12:49 2024 p187 factor: 1798468558555899375753246881561365423834382330674398662951809169219028726523426334019858996500648731696325049532038339083124596531647986597514868083328185529106141352643114838664061279527
  424. Sat Nov 16 02:12:49 2024 elapsed time 00:16:33
  425.  
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