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6_1002M.msieve.log

Serge_Batalov
Nov 13th, 2023
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  1. 1,065,767,331 Rels 8,840,784 Est. Pending Rels
  2.  
  3. Found 870057252 unique, 195705397 duplicate, and 381 bad relations.
  4. Largest dimension used: 2901 of 3800
  5. Average dimension used: 2655.3 of 3800
  6.  
  7. Thu Nov 9 18:50:52 2023 Msieve v. 1.54 (SVN 1040M)
  8. Thu Nov 9 18:50:52 2023 random seeds: 782b0abc bc5602b9
  9. Thu Nov 9 18:50:52 2023 factoring 410563876264679181145475833339667510134382946042343778540292780693042045187227743709335860666134040186237051541511686188327835791330206459003013709747633289730309965169526913824881524169985412226161928355419105069 (213 digits)
  10. Thu Nov 9 18:50:53 2023 searching for 15-digit factors
  11. Thu Nov 9 18:50:53 2023 commencing number field sieve (213-digit input)
  12. Thu Nov 9 18:50:53 2023 R0: -38597020613139683778789415094518564417309726968345976518387695617
  13. Thu Nov 9 18:50:53 2023 R1: 38597020613139683778789415094518564417309726968345976518387695616
  14. Thu Nov 9 18:50:53 2023 A0: 13
  15. Thu Nov 9 18:50:53 2023 A1: 14
  16. Thu Nov 9 18:50:53 2023 A2: 6
  17. Thu Nov 9 18:50:53 2023 A3: 2
  18. Thu Nov 9 18:50:53 2023 A4: 1
  19. Thu Nov 9 18:50:53 2023 skew 1.44, size 1.575e-26, alpha 1.559, combined = 8.755e-16 rroots = 0
  20. Thu Nov 9 18:50:53 2023
  21. Thu Nov 9 18:50:53 2023 commencing relation filtering
  22. Thu Nov 9 18:50:53 2023 setting target matrix density to 130.0
  23. Thu Nov 9 18:50:53 2023 estimated available RAM is 257376.4 MB
  24. Thu Nov 9 18:50:57 2023 commencing duplicate removal, pass 1
  25. Thu Nov 9 20:53:27 2023 skipped 354228 relations with b > 2^32
  26. Thu Nov 9 20:53:27 2023 skipped 1 relations with composite factors
  27. Thu Nov 9 20:53:27 2023 found 137585395 hash collisions in 871622067 relations
  28. Thu Nov 9 20:53:36 2023 added 3657369 free relations
  29. Thu Nov 9 20:53:36 2023 commencing duplicate removal, pass 2
  30. Thu Nov 9 21:11:15 2023 found 545244 duplicates and 874734192 unique relations
  31. Thu Nov 9 21:11:15 2023 memory use: 4518.0 MB
  32. Thu Nov 9 21:11:15 2023 reading ideals above 720000
  33. Thu Nov 9 21:11:16 2023 commencing singleton removal, initial pass
  34. Thu Nov 9 23:26:26 2023 memory use: 21024.0 MB
  35. Thu Nov 9 23:26:26 2023 reading all ideals from disk
  36. Thu Nov 9 23:26:47 2023 memory use: 39347.1 MB
  37. Thu Nov 9 23:29:34 2023 keeping 789330951 ideals with weight <= 200, target excess is 4727202
  38. Thu Nov 9 23:32:43 2023 commencing in-memory singleton removal
  39. Thu Nov 9 23:34:22 2023 begin with 874734192 relations and 789330951 unique ideals
  40. Thu Nov 9 23:55:09 2023 reduce to 575630876 relations and 462545751 ideals in 14 passes
  41. Thu Nov 9 23:55:09 2023 max relations containing the same ideal: 161
  42. Thu Nov 9 23:58:45 2023 removing 15542709 relations and 13542709 ideals in 2000000 cliques
  43. Thu Nov 9 23:59:05 2023 commencing in-memory singleton removal
  44. Thu Nov 9 23:59:39 2023 begin with 560088167 relations and 462545751 unique ideals
  45. Fri Nov 10 00:05:31 2023 reduce to 559767219 relations and 448680432 ideals in 8 passes
  46. Fri Nov 10 00:05:31 2023 max relations containing the same ideal: 160
  47. Fri Nov 10 00:08:35 2023 removing 11747886 relations and 9747886 ideals in 2000000 cliques
  48. Fri Nov 10 00:08:54 2023 commencing in-memory singleton removal
  49. Fri Nov 10 00:09:27 2023 begin with 548019333 relations and 448680432 unique ideals
  50. Fri Nov 10 00:14:27 2023 reduce to 547819254 relations and 438731579 ideals in 7 passes
  51. Fri Nov 10 00:14:27 2023 max relations containing the same ideal: 159
  52. Fri Nov 10 00:17:25 2023 removing 10522600 relations and 8522600 ideals in 2000000 cliques
  53. Fri Nov 10 00:17:43 2023 commencing in-memory singleton removal
  54. Fri Nov 10 00:18:22 2023 begin with 537296654 relations and 438731579 unique ideals
  55. Fri Nov 10 00:23:20 2023 reduce to 537128254 relations and 430039917 ideals in 7 passes
  56. Fri Nov 10 00:23:20 2023 max relations containing the same ideal: 155
  57. Fri Nov 10 00:26:14 2023 removing 9822185 relations and 7822185 ideals in 2000000 cliques
  58. Fri Nov 10 00:26:31 2023 commencing in-memory singleton removal
  59. Fri Nov 10 00:27:03 2023 begin with 527306069 relations and 430039917 unique ideals
  60. Fri Nov 10 00:31:52 2023 reduce to 527156368 relations and 422067427 ideals in 7 passes
  61. Fri Nov 10 00:31:52 2023 max relations containing the same ideal: 154
  62. Fri Nov 10 00:34:45 2023 removing 9339860 relations and 7339860 ideals in 2000000 cliques
  63. Fri Nov 10 00:35:01 2023 commencing in-memory singleton removal
  64. Fri Nov 10 00:35:33 2023 begin with 517816508 relations and 422067427 unique ideals
  65. Fri Nov 10 00:39:35 2023 reduce to 517676777 relations and 414587253 ideals in 6 passes
  66. Fri Nov 10 00:39:35 2023 max relations containing the same ideal: 152
  67. Fri Nov 10 00:42:24 2023 removing 8981822 relations and 6981822 ideals in 2000000 cliques
  68. Fri Nov 10 00:42:41 2023 commencing in-memory singleton removal
  69. Fri Nov 10 00:43:11 2023 begin with 508694955 relations and 414587253 unique ideals
  70. Fri Nov 10 00:47:50 2023 reduce to 508563925 relations and 407473868 ideals in 7 passes
  71. Fri Nov 10 00:47:50 2023 max relations containing the same ideal: 149
  72. Fri Nov 10 00:50:38 2023 removing 8706782 relations and 6706782 ideals in 2000000 cliques
  73. Fri Nov 10 00:50:54 2023 commencing in-memory singleton removal
  74. Fri Nov 10 00:51:24 2023 begin with 499857143 relations and 407473868 unique ideals
  75. Fri Nov 10 00:56:00 2023 reduce to 499730891 relations and 400640332 ideals in 7 passes
  76. Fri Nov 10 00:56:00 2023 max relations containing the same ideal: 147
  77. Fri Nov 10 00:58:44 2023 removing 8477161 relations and 6477161 ideals in 2000000 cliques
  78. Fri Nov 10 00:59:00 2023 commencing in-memory singleton removal
  79. Fri Nov 10 00:59:29 2023 begin with 491253730 relations and 400640332 unique ideals
  80. Fri Nov 10 01:04:36 2023 reduce to 491131024 relations and 394039953 ideals in 8 passes
  81. Fri Nov 10 01:04:36 2023 max relations containing the same ideal: 145
  82. Fri Nov 10 01:07:18 2023 removing 8291341 relations and 6291341 ideals in 2000000 cliques
  83. Fri Nov 10 01:07:34 2023 commencing in-memory singleton removal
  84. Fri Nov 10 01:08:08 2023 begin with 482839683 relations and 394039953 unique ideals
  85. Fri Nov 10 01:12:11 2023 reduce to 482719963 relations and 387628415 ideals in 6 passes
  86. Fri Nov 10 01:12:11 2023 max relations containing the same ideal: 143
  87. Fri Nov 10 01:14:52 2023 removing 8136470 relations and 6136470 ideals in 2000000 cliques
  88. Fri Nov 10 01:15:07 2023 commencing in-memory singleton removal
  89. Fri Nov 10 01:15:35 2023 begin with 474583493 relations and 387628415 unique ideals
  90. Fri Nov 10 01:19:57 2023 reduce to 474465176 relations and 381373119 ideals in 7 passes
  91. Fri Nov 10 01:19:57 2023 max relations containing the same ideal: 142
  92. Fri Nov 10 01:22:33 2023 removing 8005656 relations and 6005656 ideals in 2000000 cliques
  93. Fri Nov 10 01:22:49 2023 commencing in-memory singleton removal
  94. Fri Nov 10 01:23:17 2023 begin with 466459520 relations and 381373119 unique ideals
  95. Fri Nov 10 01:26:55 2023 reduce to 466343158 relations and 375250581 ideals in 6 passes
  96. Fri Nov 10 01:26:55 2023 max relations containing the same ideal: 140
  97. Fri Nov 10 01:29:28 2023 removing 7892574 relations and 5892574 ideals in 2000000 cliques
  98. Fri Nov 10 01:29:43 2023 commencing in-memory singleton removal
  99. Fri Nov 10 01:30:10 2023 begin with 458450584 relations and 375250581 unique ideals
  100. Fri Nov 10 01:33:47 2023 reduce to 458335852 relations and 369242810 ideals in 6 passes
  101. Fri Nov 10 01:33:47 2023 max relations containing the same ideal: 138
  102. Fri Nov 10 01:36:19 2023 removing 7795168 relations and 5795168 ideals in 2000000 cliques
  103. Fri Nov 10 01:36:33 2023 commencing in-memory singleton removal
  104. Fri Nov 10 01:37:00 2023 begin with 450540684 relations and 369242810 unique ideals
  105. Fri Nov 10 01:40:32 2023 reduce to 450425908 relations and 363332370 ideals in 6 passes
  106. Fri Nov 10 01:40:32 2023 max relations containing the same ideal: 136
  107. Fri Nov 10 01:43:01 2023 removing 7710950 relations and 5710950 ideals in 2000000 cliques
  108. Fri Nov 10 01:43:15 2023 commencing in-memory singleton removal
  109. Fri Nov 10 01:43:41 2023 begin with 442714958 relations and 363332370 unique ideals
  110. Fri Nov 10 01:47:09 2023 reduce to 442601044 relations and 357507007 ideals in 6 passes
  111. Fri Nov 10 01:47:09 2023 max relations containing the same ideal: 136
  112. Fri Nov 10 01:49:37 2023 removing 7636775 relations and 5636775 ideals in 2000000 cliques
  113. Fri Nov 10 01:49:51 2023 commencing in-memory singleton removal
  114. Fri Nov 10 01:50:17 2023 begin with 434964269 relations and 357507007 unique ideals
  115. Fri Nov 10 01:53:42 2023 reduce to 434851372 relations and 351756770 ideals in 6 passes
  116. Fri Nov 10 01:53:42 2023 max relations containing the same ideal: 134
  117. Fri Nov 10 01:56:07 2023 removing 7576575 relations and 5576575 ideals in 2000000 cliques
  118. Fri Nov 10 01:56:21 2023 commencing in-memory singleton removal
  119. Fri Nov 10 01:56:47 2023 begin with 427274797 relations and 351756770 unique ideals
  120. Fri Nov 10 02:00:09 2023 reduce to 427161302 relations and 346066129 ideals in 6 passes
  121. Fri Nov 10 02:00:09 2023 max relations containing the same ideal: 131
  122. Fri Nov 10 02:02:31 2023 removing 7513841 relations and 5513841 ideals in 2000000 cliques
  123. Fri Nov 10 02:02:45 2023 commencing in-memory singleton removal
  124. Fri Nov 10 02:03:09 2023 begin with 419647461 relations and 346066129 unique ideals
  125. Fri Nov 10 02:06:25 2023 reduce to 419533243 relations and 340437491 ideals in 6 passes
  126. Fri Nov 10 02:06:25 2023 max relations containing the same ideal: 130
  127. Fri Nov 10 02:08:47 2023 removing 7468666 relations and 5468666 ideals in 2000000 cliques
  128. Fri Nov 10 02:09:00 2023 commencing in-memory singleton removal
  129. Fri Nov 10 02:09:25 2023 begin with 412064577 relations and 340437491 unique ideals
  130. Fri Nov 10 02:12:35 2023 reduce to 411951129 relations and 334854830 ideals in 6 passes
  131. Fri Nov 10 02:12:35 2023 max relations containing the same ideal: 129
  132. Fri Nov 10 02:14:52 2023 removing 7421217 relations and 5421217 ideals in 2000000 cliques
  133. Fri Nov 10 02:15:05 2023 commencing in-memory singleton removal
  134. Fri Nov 10 02:15:30 2023 begin with 404529912 relations and 334854830 unique ideals
  135. Fri Nov 10 02:19:11 2023 reduce to 404414337 relations and 329317444 ideals in 7 passes
  136. Fri Nov 10 02:19:11 2023 max relations containing the same ideal: 126
  137. Fri Nov 10 02:21:27 2023 removing 7383588 relations and 5383588 ideals in 2000000 cliques
  138. Fri Nov 10 02:21:40 2023 commencing in-memory singleton removal
  139. Fri Nov 10 02:22:04 2023 begin with 397030749 relations and 329317444 unique ideals
  140. Fri Nov 10 02:25:41 2023 reduce to 396914525 relations and 323816979 ideals in 7 passes
  141. Fri Nov 10 02:25:41 2023 max relations containing the same ideal: 126
  142. Fri Nov 10 02:27:55 2023 removing 7353083 relations and 5353083 ideals in 2000000 cliques
  143. Fri Nov 10 02:28:07 2023 commencing in-memory singleton removal
  144. Fri Nov 10 02:28:36 2023 begin with 389561442 relations and 323816979 unique ideals
  145. Fri Nov 10 02:31:48 2023 reduce to 389443000 relations and 318344823 ideals in 6 passes
  146. Fri Nov 10 02:31:48 2023 max relations containing the same ideal: 124
  147. Fri Nov 10 02:33:59 2023 removing 7323989 relations and 5323989 ideals in 2000000 cliques
  148. Fri Nov 10 02:34:11 2023 commencing in-memory singleton removal
  149. Fri Nov 10 02:34:34 2023 begin with 382119011 relations and 318344823 unique ideals
  150. Fri Nov 10 02:37:32 2023 reduce to 382000006 relations and 312901109 ideals in 6 passes
  151. Fri Nov 10 02:37:32 2023 max relations containing the same ideal: 123
  152. Fri Nov 10 02:39:42 2023 removing 7301266 relations and 5301266 ideals in 2000000 cliques
  153. Fri Nov 10 02:39:54 2023 commencing in-memory singleton removal
  154. Fri Nov 10 02:40:17 2023 begin with 374698740 relations and 312901109 unique ideals
  155. Fri Nov 10 02:43:14 2023 reduce to 374578555 relations and 307478930 ideals in 6 passes
  156. Fri Nov 10 02:43:14 2023 max relations containing the same ideal: 122
  157. Fri Nov 10 02:45:22 2023 removing 7279593 relations and 5279593 ideals in 2000000 cliques
  158. Fri Nov 10 02:45:35 2023 commencing in-memory singleton removal
  159. Fri Nov 10 02:46:00 2023 begin with 367298962 relations and 307478930 unique ideals
  160. Fri Nov 10 02:48:30 2023 reduce to 367176392 relations and 302076041 ideals in 5 passes
  161. Fri Nov 10 02:48:30 2023 max relations containing the same ideal: 122
  162. Fri Nov 10 02:50:36 2023 removing 7263470 relations and 5263470 ideals in 2000000 cliques
  163. Fri Nov 10 02:50:48 2023 commencing in-memory singleton removal
  164. Fri Nov 10 02:51:10 2023 begin with 359912922 relations and 302076041 unique ideals
  165. Fri Nov 10 02:53:56 2023 reduce to 359787930 relations and 296686786 ideals in 6 passes
  166. Fri Nov 10 02:53:56 2023 max relations containing the same ideal: 120
  167. Fri Nov 10 02:55:58 2023 removing 7252098 relations and 5252098 ideals in 2000000 cliques
  168. Fri Nov 10 02:56:10 2023 commencing in-memory singleton removal
  169. Fri Nov 10 02:56:30 2023 begin with 352535832 relations and 296686786 unique ideals
  170. Fri Nov 10 02:59:12 2023 reduce to 352409912 relations and 291307964 ideals in 6 passes
  171. Fri Nov 10 02:59:12 2023 max relations containing the same ideal: 119
  172. Fri Nov 10 03:01:15 2023 removing 7237049 relations and 5237049 ideals in 2000000 cliques
  173. Fri Nov 10 03:01:26 2023 commencing in-memory singleton removal
  174. Fri Nov 10 03:01:47 2023 begin with 345172863 relations and 291307964 unique ideals
  175. Fri Nov 10 03:04:28 2023 reduce to 345045196 relations and 285942393 ideals in 6 passes
  176. Fri Nov 10 03:04:28 2023 max relations containing the same ideal: 117
  177. Fri Nov 10 03:06:25 2023 removing 7233047 relations and 5233047 ideals in 2000000 cliques
  178. Fri Nov 10 03:06:36 2023 commencing in-memory singleton removal
  179. Fri Nov 10 03:06:56 2023 begin with 337812149 relations and 285942393 unique ideals
  180. Fri Nov 10 03:09:56 2023 reduce to 337681698 relations and 280578039 ideals in 7 passes
  181. Fri Nov 10 03:09:56 2023 max relations containing the same ideal: 117
  182. Fri Nov 10 03:11:52 2023 removing 7225790 relations and 5225790 ideals in 2000000 cliques
  183. Fri Nov 10 03:12:03 2023 commencing in-memory singleton removal
  184. Fri Nov 10 03:12:23 2023 begin with 330455908 relations and 280578039 unique ideals
  185. Fri Nov 10 03:14:55 2023 reduce to 330323671 relations and 275219151 ideals in 6 passes
  186. Fri Nov 10 03:14:55 2023 max relations containing the same ideal: 115
  187. Fri Nov 10 03:16:50 2023 removing 7227294 relations and 5227294 ideals in 2000000 cliques
  188. Fri Nov 10 03:17:02 2023 commencing in-memory singleton removal
  189. Fri Nov 10 03:17:21 2023 begin with 323096377 relations and 275219151 unique ideals
  190. Fri Nov 10 03:19:52 2023 reduce to 322961087 relations and 269855597 ideals in 6 passes
  191. Fri Nov 10 03:19:52 2023 max relations containing the same ideal: 113
  192. Fri Nov 10 03:21:44 2023 removing 7225407 relations and 5225407 ideals in 2000000 cliques
  193. Fri Nov 10 03:21:54 2023 commencing in-memory singleton removal
  194. Fri Nov 10 03:22:13 2023 begin with 315735680 relations and 269855597 unique ideals
  195. Fri Nov 10 03:24:38 2023 reduce to 315597881 relations and 264491365 ideals in 6 passes
  196. Fri Nov 10 03:24:38 2023 max relations containing the same ideal: 111
  197. Fri Nov 10 03:26:28 2023 removing 7233439 relations and 5233439 ideals in 2000000 cliques
  198. Fri Nov 10 03:26:39 2023 commencing in-memory singleton removal
  199. Fri Nov 10 03:26:57 2023 begin with 308364442 relations and 264491365 unique ideals
  200. Fri Nov 10 03:29:19 2023 reduce to 308222100 relations and 259114480 ideals in 6 passes
  201. Fri Nov 10 03:29:19 2023 max relations containing the same ideal: 107
  202. Fri Nov 10 03:31:07 2023 removing 7240284 relations and 5240284 ideals in 2000000 cliques
  203. Fri Nov 10 03:31:18 2023 commencing in-memory singleton removal
  204. Fri Nov 10 03:31:37 2023 begin with 300981816 relations and 259114480 unique ideals
  205. Fri Nov 10 03:33:56 2023 reduce to 300837630 relations and 253728928 ideals in 6 passes
  206. Fri Nov 10 03:33:56 2023 max relations containing the same ideal: 106
  207. Fri Nov 10 03:35:41 2023 removing 7248110 relations and 5248110 ideals in 2000000 cliques
  208. Fri Nov 10 03:35:51 2023 commencing in-memory singleton removal
  209. Fri Nov 10 03:36:08 2023 begin with 293589520 relations and 253728928 unique ideals
  210. Fri Nov 10 03:38:44 2023 reduce to 293441549 relations and 248331766 ideals in 7 passes
  211. Fri Nov 10 03:38:44 2023 max relations containing the same ideal: 105
  212. Fri Nov 10 03:40:27 2023 removing 7265209 relations and 5265209 ideals in 2000000 cliques
  213. Fri Nov 10 03:40:37 2023 commencing in-memory singleton removal
  214. Fri Nov 10 03:40:54 2023 begin with 286176340 relations and 248331766 unique ideals
  215. Fri Nov 10 03:43:05 2023 reduce to 286024490 relations and 242913514 ideals in 6 passes
  216. Fri Nov 10 03:43:05 2023 max relations containing the same ideal: 104
  217. Fri Nov 10 03:44:48 2023 removing 7277088 relations and 5277088 ideals in 2000000 cliques
  218. Fri Nov 10 03:44:57 2023 commencing in-memory singleton removal
  219. Fri Nov 10 03:45:13 2023 begin with 278747402 relations and 242913514 unique ideals
  220. Fri Nov 10 03:47:20 2023 reduce to 278590521 relations and 237478301 ideals in 6 passes
  221. Fri Nov 10 03:47:20 2023 max relations containing the same ideal: 100
  222. Fri Nov 10 03:48:59 2023 removing 7295953 relations and 5295953 ideals in 2000000 cliques
  223. Fri Nov 10 03:49:08 2023 commencing in-memory singleton removal
  224. Fri Nov 10 03:49:24 2023 begin with 271294568 relations and 237478301 unique ideals
  225. Fri Nov 10 03:51:26 2023 reduce to 271132863 relations and 232019286 ideals in 6 passes
  226. Fri Nov 10 03:51:26 2023 max relations containing the same ideal: 98
  227. Fri Nov 10 03:53:05 2023 removing 7316250 relations and 5316250 ideals in 2000000 cliques
  228. Fri Nov 10 03:53:14 2023 commencing in-memory singleton removal
  229. Fri Nov 10 03:53:29 2023 begin with 263816613 relations and 232019286 unique ideals
  230. Fri Nov 10 03:55:29 2023 reduce to 263650435 relations and 226535531 ideals in 6 passes
  231. Fri Nov 10 03:55:29 2023 max relations containing the same ideal: 96
  232. Fri Nov 10 03:57:03 2023 removing 7340025 relations and 5340025 ideals in 2000000 cliques
  233. Fri Nov 10 03:57:12 2023 commencing in-memory singleton removal
  234. Fri Nov 10 03:57:27 2023 begin with 256310410 relations and 226535531 unique ideals
  235. Fri Nov 10 03:59:43 2023 reduce to 256139494 relations and 221023091 ideals in 7 passes
  236. Fri Nov 10 03:59:43 2023 max relations containing the same ideal: 93
  237. Fri Nov 10 04:01:15 2023 removing 7373428 relations and 5373428 ideals in 2000000 cliques
  238. Fri Nov 10 04:01:24 2023 commencing in-memory singleton removal
  239. Fri Nov 10 04:01:39 2023 begin with 248766066 relations and 221023091 unique ideals
  240. Fri Nov 10 04:03:32 2023 reduce to 248588738 relations and 215470891 ideals in 6 passes
  241. Fri Nov 10 04:03:32 2023 max relations containing the same ideal: 91
  242. Fri Nov 10 04:04:59 2023 removing 7402963 relations and 5402963 ideals in 2000000 cliques
  243. Fri Nov 10 04:05:07 2023 commencing in-memory singleton removal
  244. Fri Nov 10 04:05:21 2023 begin with 241185775 relations and 215470891 unique ideals
  245. Fri Nov 10 04:07:10 2023 reduce to 241002580 relations and 209883099 ideals in 6 passes
  246. Fri Nov 10 04:07:10 2023 max relations containing the same ideal: 89
  247. Fri Nov 10 04:08:35 2023 removing 7435761 relations and 5435761 ideals in 2000000 cliques
  248. Fri Nov 10 04:08:43 2023 commencing in-memory singleton removal
  249. Fri Nov 10 04:08:57 2023 begin with 233566819 relations and 209883099 unique ideals
  250. Fri Nov 10 04:11:00 2023 reduce to 233376552 relations and 204255454 ideals in 7 passes
  251. Fri Nov 10 04:11:00 2023 max relations containing the same ideal: 88
  252. Fri Nov 10 04:12:21 2023 removing 7476050 relations and 5476050 ideals in 2000000 cliques
  253. Fri Nov 10 04:12:29 2023 commencing in-memory singleton removal
  254. Fri Nov 10 04:12:43 2023 begin with 225900502 relations and 204255454 unique ideals
  255. Fri Nov 10 04:14:26 2023 reduce to 225704054 relations and 198581228 ideals in 6 passes
  256. Fri Nov 10 04:14:26 2023 max relations containing the same ideal: 86
  257. Fri Nov 10 04:15:46 2023 removing 7514862 relations and 5514862 ideals in 2000000 cliques
  258. Fri Nov 10 04:15:54 2023 commencing in-memory singleton removal
  259. Fri Nov 10 04:16:07 2023 begin with 218189192 relations and 198581228 unique ideals
  260. Fri Nov 10 04:18:05 2023 reduce to 217983869 relations and 192859236 ideals in 7 passes
  261. Fri Nov 10 04:18:05 2023 max relations containing the same ideal: 85
  262. Fri Nov 10 04:19:22 2023 removing 7567867 relations and 5567867 ideals in 2000000 cliques
  263. Fri Nov 10 04:19:29 2023 commencing in-memory singleton removal
  264. Fri Nov 10 04:19:41 2023 begin with 210416002 relations and 192859236 unique ideals
  265. Fri Nov 10 04:21:32 2023 reduce to 210202350 relations and 187075755 ideals in 7 passes
  266. Fri Nov 10 04:21:32 2023 max relations containing the same ideal: 82
  267. Fri Nov 10 04:22:45 2023 removing 7620258 relations and 5620258 ideals in 2000000 cliques
  268. Fri Nov 10 04:22:53 2023 commencing in-memory singleton removal
  269. Fri Nov 10 04:23:05 2023 begin with 202582092 relations and 187075755 unique ideals
  270. Fri Nov 10 04:24:53 2023 reduce to 202359667 relations and 181230996 ideals in 7 passes
  271. Fri Nov 10 04:24:53 2023 max relations containing the same ideal: 81
  272. Fri Nov 10 04:26:05 2023 removing 7674243 relations and 5674243 ideals in 2000000 cliques
  273. Fri Nov 10 04:26:13 2023 commencing in-memory singleton removal
  274. Fri Nov 10 04:26:24 2023 begin with 194685424 relations and 181230996 unique ideals
  275. Fri Nov 10 04:28:20 2023 reduce to 194452032 relations and 175321146 ideals in 8 passes
  276. Fri Nov 10 04:28:20 2023 max relations containing the same ideal: 77
  277. Fri Nov 10 04:29:31 2023 removing 7735171 relations and 5735171 ideals in 2000000 cliques
  278. Fri Nov 10 04:29:38 2023 commencing in-memory singleton removal
  279. Fri Nov 10 04:29:48 2023 begin with 186716861 relations and 175321146 unique ideals
  280. Fri Nov 10 04:31:27 2023 reduce to 186470880 relations and 169337587 ideals in 7 passes
  281. Fri Nov 10 04:31:27 2023 max relations containing the same ideal: 75
  282. Fri Nov 10 04:32:34 2023 removing 7799585 relations and 5799585 ideals in 2000000 cliques
  283. Fri Nov 10 04:32:41 2023 commencing in-memory singleton removal
  284. Fri Nov 10 04:32:51 2023 begin with 178671295 relations and 169337587 unique ideals
  285. Fri Nov 10 04:34:26 2023 reduce to 178411401 relations and 163275626 ideals in 7 passes
  286. Fri Nov 10 04:34:26 2023 max relations containing the same ideal: 73
  287. Fri Nov 10 04:35:30 2023 removing 7870291 relations and 5870291 ideals in 2000000 cliques
  288. Fri Nov 10 04:35:36 2023 commencing in-memory singleton removal
  289. Fri Nov 10 04:35:46 2023 begin with 170541110 relations and 163275626 unique ideals
  290. Fri Nov 10 04:37:15 2023 reduce to 170267313 relations and 157128816 ideals in 7 passes
  291. Fri Nov 10 04:37:15 2023 max relations containing the same ideal: 69
  292. Fri Nov 10 04:38:19 2023 removing 7951728 relations and 5951728 ideals in 2000000 cliques
  293. Fri Nov 10 04:38:25 2023 commencing in-memory singleton removal
  294. Fri Nov 10 04:38:34 2023 begin with 162315585 relations and 157128816 unique ideals
  295. Fri Nov 10 04:39:59 2023 reduce to 162024056 relations and 150882399 ideals in 7 passes
  296. Fri Nov 10 04:39:59 2023 max relations containing the same ideal: 68
  297. Fri Nov 10 04:40:59 2023 removing 8037250 relations and 6037250 ideals in 2000000 cliques
  298. Fri Nov 10 04:41:05 2023 commencing in-memory singleton removal
  299. Fri Nov 10 04:41:14 2023 begin with 153986806 relations and 150882399 unique ideals
  300. Fri Nov 10 04:42:36 2023 reduce to 153677005 relations and 144531975 ideals in 7 passes
  301. Fri Nov 10 04:42:36 2023 max relations containing the same ideal: 67
  302. Fri Nov 10 04:43:33 2023 removing 8133545 relations and 6133545 ideals in 2000000 cliques
  303. Fri Nov 10 04:43:39 2023 commencing in-memory singleton removal
  304. Fri Nov 10 04:43:47 2023 begin with 145543460 relations and 144531975 unique ideals
  305. Fri Nov 10 04:45:07 2023 reduce to 145209419 relations and 138060593 ideals in 7 passes
  306. Fri Nov 10 04:45:07 2023 max relations containing the same ideal: 67
  307. Fri Nov 10 04:46:01 2023 removing 7068452 relations and 5403181 ideals in 1665271 cliques
  308. Fri Nov 10 04:46:07 2023 commencing in-memory singleton removal
  309. Fri Nov 10 04:46:15 2023 begin with 138140967 relations and 138060593 unique ideals
  310. Fri Nov 10 04:47:25 2023 reduce to 137875844 relations and 132389656 ideals in 7 passes
  311. Fri Nov 10 04:47:25 2023 max relations containing the same ideal: 67
  312. Fri Nov 10 04:48:34 2023 relations with 0 large ideals: 380747
  313. Fri Nov 10 04:48:34 2023 relations with 1 large ideals: 131135
  314. Fri Nov 10 04:48:34 2023 relations with 2 large ideals: 1454521
  315. Fri Nov 10 04:48:34 2023 relations with 3 large ideals: 7548713
  316. Fri Nov 10 04:48:34 2023 relations with 4 large ideals: 21441853
  317. Fri Nov 10 04:48:34 2023 relations with 5 large ideals: 37690629
  318. Fri Nov 10 04:48:34 2023 relations with 6 large ideals: 35503640
  319. Fri Nov 10 04:48:34 2023 relations with 7+ large ideals: 33724606
  320. Fri Nov 10 04:48:34 2023 commencing 2-way merge
  321. Fri Nov 10 04:49:52 2023 reduce to 87132522 relation sets and 81646333 unique ideals
  322. Fri Nov 10 04:49:52 2023 commencing full merge
  323. Fri Nov 10 05:20:44 2023 memory use: 10111.4 MB
  324. Fri Nov 10 05:20:54 2023 found 38315128 cycles, need 38066533
  325. Fri Nov 10 05:21:09 2023 weight of 38066533 cycles is about 4949147240 (130.01/cycle)
  326. Fri Nov 10 05:21:09 2023 distribution of cycle lengths:
  327. Fri Nov 10 05:21:09 2023 1 relations: 2027551
  328. Fri Nov 10 05:21:09 2023 2 relations: 2219370
  329. Fri Nov 10 05:21:09 2023 3 relations: 2389526
  330. Fri Nov 10 05:21:09 2023 4 relations: 2420093
  331. Fri Nov 10 05:21:09 2023 5 relations: 2434737
  332. Fri Nov 10 05:21:09 2023 6 relations: 2419455
  333. Fri Nov 10 05:21:09 2023 7 relations: 2390311
  334. Fri Nov 10 05:21:09 2023 8 relations: 2331647
  335. Fri Nov 10 05:21:09 2023 9 relations: 2250660
  336. Fri Nov 10 05:21:09 2023 10+ relations: 17183183
  337. Fri Nov 10 05:21:09 2023 heaviest cycle: 28 relations
  338. Fri Nov 10 05:21:21 2023 commencing cycle optimization
  339. Fri Nov 10 05:22:52 2023 start with 363199917 relations
  340. Fri Nov 10 05:37:58 2023 pruned 16627386 relations
  341. Fri Nov 10 05:37:58 2023 memory use: 9367.7 MB
  342. Fri Nov 10 05:37:58 2023 distribution of cycle lengths:
  343. Fri Nov 10 05:37:58 2023 1 relations: 2027551
  344. Fri Nov 10 05:37:58 2023 2 relations: 2264893
  345. Fri Nov 10 05:37:58 2023 3 relations: 2483259
  346. Fri Nov 10 05:37:58 2023 4 relations: 2518288
  347. Fri Nov 10 05:37:58 2023 5 relations: 2554853
  348. Fri Nov 10 05:37:58 2023 6 relations: 2535352
  349. Fri Nov 10 05:37:58 2023 7 relations: 2516264
  350. Fri Nov 10 05:37:58 2023 8 relations: 2449759
  351. Fri Nov 10 05:37:58 2023 9 relations: 2368854
  352. Fri Nov 10 05:37:58 2023 10+ relations: 16347460
  353. Fri Nov 10 05:37:58 2023 heaviest cycle: 28 relations
  354. Fri Nov 10 05:39:41 2023 RelProcTime: 38928
  355. Fri Nov 10 05:39:41 2023
  356. Fri Nov 10 05:39:41 2023 commencing linear algebra
  357. Fri Nov 10 05:39:50 2023 read 38066533 cycles
  358. Fri Nov 10 05:41:11 2023 cycles contain 134903808 unique relations
  359. Fri Nov 10 06:03:50 2023 read 134903808 relations
  360. Fri Nov 10 06:08:06 2023 using 20 quadratic characters above 4294917295
  361. Fri Nov 10 06:19:24 2023 building initial matrix
  362. Fri Nov 10 06:47:19 2023 memory use: 17295.3 MB
  363. Fri Nov 10 06:49:04 2023 read 38066533 cycles
  364. Fri Nov 10 06:49:12 2023 matrix is 38066356 x 38066533 (19388.9 MB) with weight 5469818468 (143.69/col)
  365. Fri Nov 10 06:49:12 2023 sparse part has weight 4663939523 (122.52/col)
  366. Fri Nov 10 06:59:50 2023 filtering completed in 2 passes
  367. Fri Nov 10 06:59:58 2023 matrix is 38064965 x 38065142 (19388.7 MB) with weight 5469768176 (143.69/col)
  368. Fri Nov 10 06:59:58 2023 sparse part has weight 4663919359 (122.52/col)
  369. Fri Nov 10 07:03:50 2023 matrix starts at (0, 0)
  370. Fri Nov 10 07:03:55 2023 matrix is 38064965 x 38065142 (19388.7 MB) with weight 5469768176 (143.69/col)
  371. Fri Nov 10 07:03:55 2023 sparse part has weight 4663919359 (122.52/col)
  372. Fri Nov 10 07:03:55 2023 saving the first 48 matrix rows for later
  373. Fri Nov 10 07:04:03 2023 matrix includes 64 packed rows
  374. Fri Nov 10 07:04:08 2023 matrix is 38064917 x 38065142 (18594.5 MB) with weight 4775870744 (125.47/col)
  375. Fri Nov 10 07:04:08 2023 sparse part has weight 4493787777 (118.06/col)
  376. Fri Nov 10 07:04:10 2023 using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
  377. Fri Nov 10 07:06:22 2023 commencing Lanczos iteration (32 threads)
  378. Fri Nov 10 07:06:22 2023 memory use: 18196.1 MB
  379. Fri Nov 10 07:08:00 2023 linear algebra at 0.0%, ETA 648h37m
  380. Fri Nov 10 07:08:31 2023 checkpointing every 60000 dimensions
  381. Fri Nov 10 10:01:47 2023 lanczos halted after 2748 iterations (dim = 173783)
  382. Fri Nov 10 10:01:53 2023 BLanczosTime: 15732
  383. Fri Nov 10 10:01:53 2023 elapsed time 15:11:01
  384. Sat Nov 11 01:08:17 2023
  385. Sat Nov 11 01:08:17 2023
  386. Sat Nov 11 01:08:17 2023 Msieve v. 1.54 (SVN unknown)
  387. Sat Nov 11 01:08:17 2023 random seeds: 5492a012 bc5a0659
  388. Sat Nov 11 01:08:17 2023 factoring 410563876264679181145475833339667510134382946042343778540292780693042045187227743709335860666134040186237051541511686188327835791330206459003013709747633289730309965169526913824881524169985412226161928355419105069 (213 digits)
  389. Sat Nov 11 01:08:18 2023 no P-1/P+1/ECM available, skipping
  390. Sat Nov 11 01:08:18 2023 commencing number field sieve (213-digit input)
  391. Sat Nov 11 01:08:18 2023 R0: -38597020613139683778789415094518564417309726968345976518387695617
  392. Sat Nov 11 01:08:18 2023 R1: 38597020613139683778789415094518564417309726968345976518387695616
  393. Sat Nov 11 01:08:18 2023 A0: 13
  394. Sat Nov 11 01:08:18 2023 A1: 14
  395. Sat Nov 11 01:08:18 2023 A2: 6
  396. Sat Nov 11 01:08:18 2023 A3: 2
  397. Sat Nov 11 01:08:18 2023 A4: 1
  398. Sat Nov 11 01:08:18 2023 skew 1.44, size 1.575e-26, alpha 1.559, combined = 8.755e-16 rroots = 0
  399. Sat Nov 11 01:08:18 2023
  400. Sat Nov 11 01:08:18 2023 commencing linear algebra
  401. Sat Nov 11 01:08:18 2023 using VBITS=256
  402. Sat Nov 11 01:08:18 2023 skipping matrix build
  403. Sat Nov 11 01:08:27 2023 matrix starts at (0, 0)
  404. Sat Nov 11 01:08:32 2023 matrix is 38064965 x 38065142 (19388.7 MB) with weight 5469768176 (143.69/col)
  405. Sat Nov 11 01:08:32 2023 sparse part has weight 4663919359 (122.52/col)
  406. Sat Nov 11 01:08:32 2023 saving the first 240 matrix rows for later
  407. Sat Nov 11 01:08:42 2023 matrix includes 256 packed rows
  408. Sat Nov 11 01:08:55 2023 matrix is 38064725 x 38065142 (17953.4 MB) with weight 4285869680 (112.59/col)
  409. Sat Nov 11 01:08:55 2023 sparse part has weight 4097329750 (107.64/col)
  410. Sat Nov 11 01:08:55 2023 using GPU 0 (NVIDIA RTX A6000)
  411. Sat Nov 11 01:08:55 2023 selected card has CUDA arch 8.6
  412. Sat Nov 11 01:15:49 2023 commencing Lanczos iteration
  413. Sat Nov 11 01:15:51 2023 memory use: 41424.6 MB
  414. Sat Nov 11 01:18:29 2023 linear algebra at 0.1%, ETA 54h 7m
  415. Sat Nov 11 01:22:23 2023 checking every 10000 dimensions, checkpointing every 710000 dimensions
  416. Mon Nov 13 07:03:30 2023 lanczos halted after 149137 iterations (dim = 38064725)
  417. Mon Nov 13 07:06:18 2023 recovered 38 nontrivial dependencies
  418. Mon Nov 13 07:06:19 2023 BLanczosTime: 194281
  419. Mon Nov 13 07:06:19 2023 elapsed time 53:58:02
  420. Mon Nov 13 08:53:43 2023
  421. Mon Nov 13 08:53:43 2023
  422. Mon Nov 13 08:53:43 2023 Msieve v. 1.54 (SVN 1040M)
  423. Mon Nov 13 08:53:43 2023 random seeds: e307e7e3 2254e7f2
  424. Mon Nov 13 08:53:43 2023 factoring 410563876264679181145475833339667510134382946042343778540292780693042045187227743709335860666134040186237051541511686188327835791330206459003013709747633289730309965169526913824881524169985412226161928355419105069 (213 digits)
  425. Mon Nov 13 08:53:44 2023 searching for 15-digit factors
  426. Mon Nov 13 08:53:44 2023 commencing number field sieve (213-digit input)
  427. Mon Nov 13 08:53:44 2023 R0: -38597020613139683778789415094518564417309726968345976518387695617
  428. Mon Nov 13 08:53:44 2023 R1: 38597020613139683778789415094518564417309726968345976518387695616
  429. Mon Nov 13 08:53:44 2023 A0: 13
  430. Mon Nov 13 08:53:44 2023 A1: 14
  431. Mon Nov 13 08:53:44 2023 A2: 6
  432. Mon Nov 13 08:53:44 2023 A3: 2
  433. Mon Nov 13 08:53:44 2023 A4: 1
  434. Mon Nov 13 08:53:44 2023 skew 1.44, size 1.575e-26, alpha 1.559, combined = 8.755e-16 rroots = 0
  435. Mon Nov 13 08:53:44 2023
  436. Mon Nov 13 08:53:44 2023 commencing square root phase
  437. Mon Nov 13 08:53:44 2023 handling dependencies 10 to 14
  438. Mon Nov 13 08:53:44 2023 reading relations for dependency 10
  439. Mon Nov 13 08:53:56 2023 read 19029533 cycles
  440. Mon Nov 13 08:54:50 2023 cycles contain 67445088 unique relations
  441. Mon Nov 13 09:11:27 2023 read 67445088 relations
  442. Mon Nov 13 09:17:59 2023 multiplying 67445088 relations
  443. Mon Nov 13 09:43:14 2023 multiply complete, coefficients have about 1962.96 million bits
  444. Mon Nov 13 09:43:20 2023 warning: no irreducible prime found, switching to small primes
  445. Mon Nov 13 09:43:21 2023 initial square root is modulo 53
  446. Mon Nov 13 10:35:51 2023 GCD is N, no factor found
  447. Mon Nov 13 10:35:51 2023 reading relations for dependency 11
  448. Mon Nov 13 10:35:54 2023 read 19032785 cycles
  449. Mon Nov 13 10:36:47 2023 cycles contain 67452268 unique relations
  450. Mon Nov 13 10:52:54 2023 read 67452268 relations
  451. Mon Nov 13 10:59:27 2023 multiplying 67452268 relations
  452. Mon Nov 13 11:25:23 2023 multiply complete, coefficients have about 1963.17 million bits
  453. Mon Nov 13 11:25:30 2023 warning: no irreducible prime found, switching to small primes
  454. Mon Nov 13 11:25:30 2023 initial square root is modulo 53
  455. Mon Nov 13 12:19:59 2023 sqrtTime: 12375
  456. Mon Nov 13 12:19:59 2023 p83 factor: 12174621036232060872959412475421974917042299205433553575110355560259688127792584929
  457. Mon Nov 13 12:19:59 2023 p131 factor: 33722928626922183312348344242263124145418738587305442585926228727071163232944736671915261438869704228178959405241338040471639923661
  458. Mon Nov 13 12:19:59 2023 elapsed time 03:26:16
  459.  
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