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29017_53m1

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Dec 10th, 2018
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  1. Tue Dec 4 17:20:32 2018
  2. Tue Dec 4 17:20:32 2018
  3. Tue Dec 4 17:20:32 2018 Msieve v. 1.54 (SVN 1025)
  4. Tue Dec 4 17:20:32 2018 random seeds: 155c3216 90143645
  5. Tue Dec 4 17:20:32 2018 factoring 11427348520108544809910356841064380080815832231892126657657510868795199711239420149410108785794450893955945601609939618041506115611052043542404253112058439935301401649223288067503020263371015286311001226709408798344074405123553042021 (233 digits)
  6. Tue Dec 4 17:20:33 2018 searching for 15-digit factors
  7. Tue Dec 4 17:20:33 2018 commencing number field sieve (233-digit input)
  8. Tue Dec 4 17:20:33 2018 R0: 14583863390459956480696468485099027977497
  9. Tue Dec 4 17:20:33 2018 R1: -1
  10. Tue Dec 4 17:20:33 2018 A0: -29017
  11. Tue Dec 4 17:20:33 2018 A1: 0
  12. Tue Dec 4 17:20:33 2018 A2: 0
  13. Tue Dec 4 17:20:33 2018 A3: 0
  14. Tue Dec 4 17:20:33 2018 A4: 0
  15. Tue Dec 4 17:20:33 2018 A5: 0
  16. Tue Dec 4 17:20:33 2018 A6: 1
  17. Tue Dec 4 17:20:33 2018 skew 5.54, size 5.581e-12, alpha -0.891, combined = 4.201e-13 rroots = 2
  18. Tue Dec 4 17:20:33 2018
  19. Tue Dec 4 17:20:33 2018 commencing relation filtering
  20. Tue Dec 4 17:20:33 2018 setting target matrix density to 132.0
  21. Tue Dec 4 17:20:33 2018 estimated available RAM is 15984.7 MB
  22. Tue Dec 4 17:20:33 2018 commencing duplicate removal, pass 1
  23. Tue Dec 4 17:30:43 2018 error -15 reading relation 92883578
  24. Tue Dec 4 17:36:21 2018 error -1 reading relation 144161836
  25. Tue Dec 4 17:37:21 2018 error -15 reading relation 153301450
  26. Tue Dec 4 17:42:21 2018 skipped 4 relations with b > 2^32
  27. Tue Dec 4 17:42:21 2018 skipped 3 relations with composite factors
  28. Tue Dec 4 17:42:21 2018 found 8657178 hash collisions in 198783333 relations
  29. Tue Dec 4 17:42:35 2018 added 1216507 free relations
  30. Tue Dec 4 17:42:35 2018 commencing duplicate removal, pass 2
  31. Tue Dec 4 17:43:23 2018 found 0 duplicates and 199999840 unique relations
  32. Tue Dec 4 17:43:23 2018 memory use: 522.4 MB
  33. Tue Dec 4 17:43:24 2018 reading ideals above 139919360
  34. Tue Dec 4 17:43:24 2018 commencing singleton removal, initial pass
  35. Tue Dec 4 17:59:21 2018 memory use: 3012.0 MB
  36. Tue Dec 4 17:59:21 2018 reading all ideals from disk
  37. Tue Dec 4 17:59:26 2018 memory use: 3369.0 MB
  38. Tue Dec 4 17:59:33 2018 commencing in-memory singleton removal
  39. Tue Dec 4 17:59:39 2018 begin with 199999840 relations and 160062900 unique ideals
  40. Tue Dec 4 18:00:48 2018 reduce to 133598399 relations and 87155549 ideals in 13 passes
  41. Tue Dec 4 18:00:48 2018 max relations containing the same ideal: 40
  42. Tue Dec 4 18:00:54 2018 reading ideals above 720000
  43. Tue Dec 4 18:00:54 2018 commencing singleton removal, initial pass
  44. Tue Dec 4 18:14:43 2018 memory use: 2756.0 MB
  45. Tue Dec 4 18:14:43 2018 reading all ideals from disk
  46. Tue Dec 4 18:14:52 2018 memory use: 5170.2 MB
  47. Tue Dec 4 18:15:06 2018 keeping 102279921 ideals with weight <= 200, target excess is 679809
  48. Tue Dec 4 18:15:19 2018 commencing in-memory singleton removal
  49. Tue Dec 4 18:15:29 2018 begin with 133598399 relations and 102279921 unique ideals
  50. Tue Dec 4 18:16:48 2018 reduce to 133597600 relations and 102279122 ideals in 8 passes
  51. Tue Dec 4 18:16:48 2018 max relations containing the same ideal: 200
  52. Tue Dec 4 18:17:36 2018 removing 10252364 relations and 8252364 ideals in 2000000 cliques
  53. Tue Dec 4 18:17:39 2018 commencing in-memory singleton removal
  54. Tue Dec 4 18:17:49 2018 begin with 123345236 relations and 102279122 unique ideals
  55. Tue Dec 4 18:19:02 2018 reduce to 122768866 relations and 93439481 ideals in 8 passes
  56. Tue Dec 4 18:19:02 2018 max relations containing the same ideal: 197
  57. Tue Dec 4 18:19:46 2018 removing 7785674 relations and 5785674 ideals in 2000000 cliques
  58. Tue Dec 4 18:19:49 2018 commencing in-memory singleton removal
  59. Tue Dec 4 18:19:57 2018 begin with 114983192 relations and 93439481 unique ideals
  60. Tue Dec 4 18:20:56 2018 reduce to 114598599 relations and 87262900 ideals in 7 passes
  61. Tue Dec 4 18:20:56 2018 max relations containing the same ideal: 191
  62. Tue Dec 4 18:21:38 2018 removing 7072178 relations and 5072178 ideals in 2000000 cliques
  63. Tue Dec 4 18:21:40 2018 commencing in-memory singleton removal
  64. Tue Dec 4 18:21:48 2018 begin with 107526421 relations and 87262900 unique ideals
  65. Tue Dec 4 18:22:42 2018 reduce to 107192663 relations and 81851408 ideals in 7 passes
  66. Tue Dec 4 18:22:42 2018 max relations containing the same ideal: 183
  67. Tue Dec 4 18:23:21 2018 removing 6703263 relations and 4703263 ideals in 2000000 cliques
  68. Tue Dec 4 18:23:23 2018 commencing in-memory singleton removal
  69. Tue Dec 4 18:23:31 2018 begin with 100489400 relations and 81851408 unique ideals
  70. Tue Dec 4 18:24:21 2018 reduce to 100178133 relations and 76831575 ideals in 7 passes
  71. Tue Dec 4 18:24:21 2018 max relations containing the same ideal: 177
  72. Tue Dec 4 18:24:57 2018 removing 6470129 relations and 4470129 ideals in 2000000 cliques
  73. Tue Dec 4 18:25:00 2018 commencing in-memory singleton removal
  74. Tue Dec 4 18:25:06 2018 begin with 93708004 relations and 76831575 unique ideals
  75. Tue Dec 4 18:25:53 2018 reduce to 93407458 relations and 72055393 ideals in 7 passes
  76. Tue Dec 4 18:25:53 2018 max relations containing the same ideal: 172
  77. Tue Dec 4 18:26:27 2018 removing 6307176 relations and 4307176 ideals in 2000000 cliques
  78. Tue Dec 4 18:26:29 2018 commencing in-memory singleton removal
  79. Tue Dec 4 18:26:35 2018 begin with 87100282 relations and 72055393 unique ideals
  80. Tue Dec 4 18:27:12 2018 reduce to 86804036 relations and 67446225 ideals in 6 passes
  81. Tue Dec 4 18:27:12 2018 max relations containing the same ideal: 162
  82. Tue Dec 4 18:27:44 2018 removing 6188220 relations and 4188220 ideals in 2000000 cliques
  83. Tue Dec 4 18:27:46 2018 commencing in-memory singleton removal
  84. Tue Dec 4 18:27:51 2018 begin with 80615816 relations and 67446225 unique ideals
  85. Tue Dec 4 18:28:24 2018 reduce to 80319052 relations and 62955295 ideals in 6 passes
  86. Tue Dec 4 18:28:24 2018 max relations containing the same ideal: 151
  87. Tue Dec 4 18:28:52 2018 removing 6095591 relations and 4095591 ideals in 2000000 cliques
  88. Tue Dec 4 18:28:54 2018 commencing in-memory singleton removal
  89. Tue Dec 4 18:28:59 2018 begin with 74223461 relations and 62955295 unique ideals
  90. Tue Dec 4 18:29:28 2018 reduce to 73918208 relations and 58548133 ideals in 6 passes
  91. Tue Dec 4 18:29:28 2018 max relations containing the same ideal: 143
  92. Tue Dec 4 18:29:53 2018 removing 6024654 relations and 4024654 ideals in 2000000 cliques
  93. Tue Dec 4 18:29:55 2018 commencing in-memory singleton removal
  94. Tue Dec 4 18:29:59 2018 begin with 67893554 relations and 58548133 unique ideals
  95. Tue Dec 4 18:30:25 2018 reduce to 67578417 relations and 54200845 ideals in 6 passes
  96. Tue Dec 4 18:30:25 2018 max relations containing the same ideal: 136
  97. Tue Dec 4 18:30:48 2018 removing 5973680 relations and 3973680 ideals in 2000000 cliques
  98. Tue Dec 4 18:30:50 2018 commencing in-memory singleton removal
  99. Tue Dec 4 18:30:53 2018 begin with 61604737 relations and 54200845 unique ideals
  100. Tue Dec 4 18:31:20 2018 reduce to 61274853 relations and 49888828 ideals in 7 passes
  101. Tue Dec 4 18:31:20 2018 max relations containing the same ideal: 130
  102. Tue Dec 4 18:31:41 2018 removing 5935638 relations and 3935638 ideals in 2000000 cliques
  103. Tue Dec 4 18:31:43 2018 commencing in-memory singleton removal
  104. Tue Dec 4 18:31:46 2018 begin with 55339215 relations and 49888828 unique ideals
  105. Tue Dec 4 18:32:10 2018 reduce to 54989944 relations and 45594071 ideals in 7 passes
  106. Tue Dec 4 18:32:10 2018 max relations containing the same ideal: 121
  107. Tue Dec 4 18:32:29 2018 removing 5901851 relations and 3901851 ideals in 2000000 cliques
  108. Tue Dec 4 18:32:30 2018 commencing in-memory singleton removal
  109. Tue Dec 4 18:32:33 2018 begin with 49088093 relations and 45594071 unique ideals
  110. Tue Dec 4 18:32:54 2018 reduce to 48709465 relations and 41301773 ideals in 7 passes
  111. Tue Dec 4 18:32:54 2018 max relations containing the same ideal: 111
  112. Tue Dec 4 18:33:11 2018 removing 5881845 relations and 3881845 ideals in 2000000 cliques
  113. Tue Dec 4 18:33:13 2018 commencing in-memory singleton removal
  114. Tue Dec 4 18:33:15 2018 begin with 42827620 relations and 41301773 unique ideals
  115. Tue Dec 4 18:33:36 2018 reduce to 42407399 relations and 36985131 ideals in 8 passes
  116. Tue Dec 4 18:33:36 2018 max relations containing the same ideal: 102
  117. Tue Dec 4 18:33:50 2018 removing 5874052 relations and 3874052 ideals in 2000000 cliques
  118. Tue Dec 4 18:33:52 2018 commencing in-memory singleton removal
  119. Tue Dec 4 18:33:54 2018 begin with 36533347 relations and 36985131 unique ideals
  120. Tue Dec 4 18:34:09 2018 reduce to 36050537 relations and 32609095 ideals in 7 passes
  121. Tue Dec 4 18:34:09 2018 max relations containing the same ideal: 88
  122. Tue Dec 4 18:34:21 2018 removing 5882003 relations and 3882003 ideals in 2000000 cliques
  123. Tue Dec 4 18:34:23 2018 commencing in-memory singleton removal
  124. Tue Dec 4 18:34:24 2018 begin with 30168534 relations and 32609095 unique ideals
  125. Tue Dec 4 18:34:38 2018 reduce to 29577513 relations and 28108470 ideals in 8 passes
  126. Tue Dec 4 18:34:38 2018 max relations containing the same ideal: 79
  127. Tue Dec 4 18:34:48 2018 removing 2461235 relations and 1780771 ideals in 680464 cliques
  128. Tue Dec 4 18:34:49 2018 commencing in-memory singleton removal
  129. Tue Dec 4 18:34:51 2018 begin with 27116278 relations and 28108470 unique ideals
  130. Tue Dec 4 18:35:02 2018 reduce to 26965810 relations and 26174176 ideals in 7 passes
  131. Tue Dec 4 18:35:02 2018 max relations containing the same ideal: 76
  132. Tue Dec 4 18:35:15 2018 relations with 0 large ideals: 25872
  133. Tue Dec 4 18:35:15 2018 relations with 1 large ideals: 13181
  134. Tue Dec 4 18:35:15 2018 relations with 2 large ideals: 172707
  135. Tue Dec 4 18:35:15 2018 relations with 3 large ideals: 1034705
  136. Tue Dec 4 18:35:15 2018 relations with 4 large ideals: 3301466
  137. Tue Dec 4 18:35:15 2018 relations with 5 large ideals: 6205498
  138. Tue Dec 4 18:35:15 2018 relations with 6 large ideals: 7231875
  139. Tue Dec 4 18:35:15 2018 relations with 7+ large ideals: 8980506
  140. Tue Dec 4 18:35:15 2018 commencing 2-way merge
  141. Tue Dec 4 18:35:26 2018 reduce to 18169757 relation sets and 17378123 unique ideals
  142. Tue Dec 4 18:35:26 2018 commencing full merge
  143. Tue Dec 4 18:45:16 2018 memory use: 808.1 MB
  144. Tue Dec 4 18:45:16 2018 found 44435 cycles, need 3966509
  145. Tue Dec 4 18:45:16 2018 too few cycles, matrix probably cannot build
  146. Tue Dec 4 18:45:16 2018 filtering wants 1000000 more relations
  147. Tue Dec 4 18:45:16 2018 elapsed time 01:24:44
  148. Tue Dec 4 18:48:22 2018
  149. Tue Dec 4 18:48:22 2018
  150. Tue Dec 4 18:48:22 2018 Msieve v. 1.54 (SVN 1025)
  151. Tue Dec 4 18:48:22 2018 random seeds: 79e7523b 4f6c4897
  152. Tue Dec 4 18:48:22 2018 factoring 11427348520108544809910356841064380080815832231892126657657510868795199711239420149410108785794450893955945601609939618041506115611052043542404253112058439935301401649223288067503020263371015286311001226709408798344074405123553042021 (233 digits)
  153. Tue Dec 4 18:48:23 2018 searching for 15-digit factors
  154. Tue Dec 4 18:48:24 2018 commencing number field sieve (233-digit input)
  155. Tue Dec 4 18:48:24 2018 R0: 14583863390459956480696468485099027977497
  156. Tue Dec 4 18:48:24 2018 R1: -1
  157. Tue Dec 4 18:48:24 2018 A0: -29017
  158. Tue Dec 4 18:48:24 2018 A1: 0
  159. Tue Dec 4 18:48:24 2018 A2: 0
  160. Tue Dec 4 18:48:24 2018 A3: 0
  161. Tue Dec 4 18:48:24 2018 A4: 0
  162. Tue Dec 4 18:48:24 2018 A5: 0
  163. Tue Dec 4 18:48:24 2018 A6: 1
  164. Tue Dec 4 18:48:24 2018 skew 5.54, size 5.581e-12, alpha -0.891, combined = 4.201e-13 rroots = 2
  165. Tue Dec 4 18:48:24 2018
  166. Tue Dec 4 18:48:24 2018 commencing relation filtering
  167. Tue Dec 4 18:48:24 2018 setting max relations to 198500000
  168. Tue Dec 4 18:48:24 2018 setting target matrix density to 132.0
  169. Tue Dec 4 18:48:24 2018 estimated available RAM is 15984.7 MB
  170. Tue Dec 4 18:48:24 2018 commencing duplicate removal, pass 1
  171. Tue Dec 4 18:58:34 2018 error -15 reading relation 92883578
  172. Tue Dec 4 19:04:12 2018 error -1 reading relation 144161836
  173. Tue Dec 4 19:05:12 2018 error -15 reading relation 153301450
  174. Tue Dec 4 19:10:10 2018 skipped 4 relations with b > 2^32
  175. Tue Dec 4 19:10:10 2018 skipped 3 relations with composite factors
  176. Tue Dec 4 19:10:10 2018 found 8633204 hash collisions in 198499990 relations
  177. Tue Dec 4 19:10:10 2018 commencing duplicate removal, pass 2
  178. Tue Dec 4 19:11:00 2018 found 0 duplicates and 198499990 unique relations
  179. Tue Dec 4 19:11:00 2018 memory use: 522.4 MB
  180. Tue Dec 4 19:11:00 2018 reading ideals above 139919360
  181. Tue Dec 4 19:11:00 2018 commencing singleton removal, initial pass
  182. Tue Dec 4 19:26:28 2018 memory use: 3012.0 MB
  183. Tue Dec 4 19:26:28 2018 reading all ideals from disk
  184. Tue Dec 4 19:26:33 2018 memory use: 3339.8 MB
  185. Tue Dec 4 19:26:39 2018 commencing in-memory singleton removal
  186. Tue Dec 4 19:26:45 2018 begin with 198499990 relations and 159986762 unique ideals
  187. Tue Dec 4 19:27:51 2018 reduce to 131882979 relations and 86825104 ideals in 13 passes
  188. Tue Dec 4 19:27:51 2018 max relations containing the same ideal: 40
  189. Tue Dec 4 19:27:57 2018 reading ideals above 720000
  190. Tue Dec 4 19:27:57 2018 commencing singleton removal, initial pass
  191. Tue Dec 4 19:41:18 2018 memory use: 2756.0 MB
  192. Tue Dec 4 19:41:18 2018 reading all ideals from disk
  193. Tue Dec 4 19:41:28 2018 memory use: 5109.0 MB
  194. Tue Dec 4 19:41:41 2018 keeping 101953214 ideals with weight <= 200, target excess is 676034
  195. Tue Dec 4 19:41:54 2018 commencing in-memory singleton removal
  196. Tue Dec 4 19:42:04 2018 begin with 131882980 relations and 101953214 unique ideals
  197. Tue Dec 4 19:43:22 2018 reduce to 131881481 relations and 101951714 ideals in 8 passes
  198. Tue Dec 4 19:43:22 2018 max relations containing the same ideal: 200
  199. Tue Dec 4 19:44:10 2018 removing 10353273 relations and 8353273 ideals in 2000000 cliques
  200. Tue Dec 4 19:44:13 2018 commencing in-memory singleton removal
  201. Tue Dec 4 19:44:22 2018 begin with 121528208 relations and 101951714 unique ideals
  202. Tue Dec 4 19:45:34 2018 reduce to 120936122 relations and 92995163 ideals in 8 passes
  203. Tue Dec 4 19:45:34 2018 max relations containing the same ideal: 197
  204. Tue Dec 4 19:46:18 2018 removing 7873908 relations and 5873908 ideals in 2000000 cliques
  205. Tue Dec 4 19:46:21 2018 commencing in-memory singleton removal
  206. Tue Dec 4 19:46:29 2018 begin with 113062214 relations and 92995163 unique ideals
  207. Tue Dec 4 19:47:27 2018 reduce to 112663861 relations and 86716293 ideals in 7 passes
  208. Tue Dec 4 19:47:27 2018 max relations containing the same ideal: 188
  209. Tue Dec 4 19:48:08 2018 removing 7148727 relations and 5148727 ideals in 2000000 cliques
  210. Tue Dec 4 19:48:10 2018 commencing in-memory singleton removal
  211. Tue Dec 4 19:48:18 2018 begin with 105515134 relations and 86716293 unique ideals
  212. Tue Dec 4 19:49:12 2018 reduce to 105167185 relations and 81213724 ideals in 7 passes
  213. Tue Dec 4 19:49:12 2018 max relations containing the same ideal: 182
  214. Tue Dec 4 19:49:50 2018 removing 6779896 relations and 4779896 ideals in 2000000 cliques
  215. Tue Dec 4 19:49:52 2018 commencing in-memory singleton removal
  216. Tue Dec 4 19:49:59 2018 begin with 98387289 relations and 81213724 unique ideals
  217. Tue Dec 4 19:50:49 2018 reduce to 98062505 relations and 76103422 ideals in 7 passes
  218. Tue Dec 4 19:50:49 2018 max relations containing the same ideal: 176
  219. Tue Dec 4 19:51:24 2018 removing 6549829 relations and 4549829 ideals in 2000000 cliques
  220. Tue Dec 4 19:51:27 2018 commencing in-memory singleton removal
  221. Tue Dec 4 19:51:33 2018 begin with 91512676 relations and 76103422 unique ideals
  222. Tue Dec 4 19:52:19 2018 reduce to 91198556 relations and 71233668 ideals in 7 passes
  223. Tue Dec 4 19:52:19 2018 max relations containing the same ideal: 172
  224. Tue Dec 4 19:52:52 2018 removing 6390723 relations and 4390723 ideals in 2000000 cliques
  225. Tue Dec 4 19:52:54 2018 commencing in-memory singleton removal
  226. Tue Dec 4 19:53:00 2018 begin with 84807833 relations and 71233668 unique ideals
  227. Tue Dec 4 19:53:42 2018 reduce to 84496589 relations and 66525624 ideals in 7 passes
  228. Tue Dec 4 19:53:42 2018 max relations containing the same ideal: 164
  229. Tue Dec 4 19:54:13 2018 removing 6268657 relations and 4268657 ideals in 2000000 cliques
  230. Tue Dec 4 19:54:15 2018 commencing in-memory singleton removal
  231. Tue Dec 4 19:54:20 2018 begin with 78227932 relations and 66525624 unique ideals
  232. Tue Dec 4 19:54:59 2018 reduce to 77913938 relations and 61936508 ideals in 7 passes
  233. Tue Dec 4 19:54:59 2018 max relations containing the same ideal: 154
  234. Tue Dec 4 19:55:27 2018 removing 6180678 relations and 4180678 ideals in 2000000 cliques
  235. Tue Dec 4 19:55:29 2018 commencing in-memory singleton removal
  236. Tue Dec 4 19:55:34 2018 begin with 71733260 relations and 61936508 unique ideals
  237. Tue Dec 4 19:56:08 2018 reduce to 71411473 relations and 57427051 ideals in 7 passes
  238. Tue Dec 4 19:56:08 2018 max relations containing the same ideal: 142
  239. Tue Dec 4 19:56:34 2018 removing 6114131 relations and 4114131 ideals in 2000000 cliques
  240. Tue Dec 4 19:56:36 2018 commencing in-memory singleton removal
  241. Tue Dec 4 19:56:40 2018 begin with 65297342 relations and 57427051 unique ideals
  242. Tue Dec 4 19:57:07 2018 reduce to 64963627 relations and 52971131 ideals in 6 passes
  243. Tue Dec 4 19:57:07 2018 max relations containing the same ideal: 133
  244. Tue Dec 4 19:57:30 2018 removing 6066938 relations and 4066938 ideals in 2000000 cliques
  245. Tue Dec 4 19:57:32 2018 commencing in-memory singleton removal
  246. Tue Dec 4 19:57:36 2018 begin with 58896689 relations and 52971131 unique ideals
  247. Tue Dec 4 19:58:08 2018 reduce to 58544449 relations and 48542678 ideals in 8 passes
  248. Tue Dec 4 19:58:08 2018 max relations containing the same ideal: 126
  249. Tue Dec 4 19:58:29 2018 removing 6031871 relations and 4031871 ideals in 2000000 cliques
  250. Tue Dec 4 19:58:30 2018 commencing in-memory singleton removal
  251. Tue Dec 4 19:58:34 2018 begin with 52512578 relations and 48542678 unique ideals
  252. Tue Dec 4 19:58:57 2018 reduce to 52135632 relations and 44122856 ideals in 7 passes
  253. Tue Dec 4 19:58:57 2018 max relations containing the same ideal: 116
  254. Tue Dec 4 19:59:15 2018 removing 6003823 relations and 4003823 ideals in 2000000 cliques
  255. Tue Dec 4 19:59:16 2018 commencing in-memory singleton removal
  256. Tue Dec 4 19:59:19 2018 begin with 46131809 relations and 44122856 unique ideals
  257. Tue Dec 4 19:59:39 2018 reduce to 45716956 relations and 39690795 ideals in 7 passes
  258. Tue Dec 4 19:59:39 2018 max relations containing the same ideal: 107
  259. Tue Dec 4 19:59:55 2018 removing 5994554 relations and 3994554 ideals in 2000000 cliques
  260. Tue Dec 4 19:59:57 2018 commencing in-memory singleton removal
  261. Tue Dec 4 19:59:59 2018 begin with 39722402 relations and 39690795 unique ideals
  262. Tue Dec 4 20:00:16 2018 reduce to 39254066 relations and 35210925 ideals in 7 passes
  263. Tue Dec 4 20:00:16 2018 max relations containing the same ideal: 92
  264. Tue Dec 4 20:00:30 2018 removing 6000892 relations and 4000892 ideals in 2000000 cliques
  265. Tue Dec 4 20:00:31 2018 commencing in-memory singleton removal
  266. Tue Dec 4 20:00:33 2018 begin with 33253174 relations and 35210925 unique ideals
  267. Tue Dec 4 20:00:47 2018 reduce to 32694172 relations and 30627416 ideals in 7 passes
  268. Tue Dec 4 20:00:47 2018 max relations containing the same ideal: 84
  269. Tue Dec 4 20:00:59 2018 removing 4191308 relations and 2908752 ideals in 1282556 cliques
  270. Tue Dec 4 20:01:00 2018 commencing in-memory singleton removal
  271. Tue Dec 4 20:01:01 2018 begin with 28502864 relations and 30627416 unique ideals
  272. Tue Dec 4 20:01:13 2018 reduce to 28145722 relations and 27349209 ideals in 7 passes
  273. Tue Dec 4 20:01:13 2018 max relations containing the same ideal: 77
  274. Tue Dec 4 20:01:23 2018 removing 81444 relations and 69131 ideals in 12313 cliques
  275. Tue Dec 4 20:01:23 2018 commencing in-memory singleton removal
  276. Tue Dec 4 20:01:25 2018 begin with 28064278 relations and 27349209 unique ideals
  277. Tue Dec 4 20:01:32 2018 reduce to 28064151 relations and 27279951 ideals in 4 passes
  278. Tue Dec 4 20:01:32 2018 max relations containing the same ideal: 77
  279. Tue Dec 4 20:01:36 2018 relations with 0 large ideals: 0
  280. Tue Dec 4 20:01:36 2018 relations with 1 large ideals: 11238
  281. Tue Dec 4 20:01:36 2018 relations with 2 large ideals: 171753
  282. Tue Dec 4 20:01:36 2018 relations with 3 large ideals: 1049828
  283. Tue Dec 4 20:01:36 2018 relations with 4 large ideals: 3403034
  284. Tue Dec 4 20:01:36 2018 relations with 5 large ideals: 6491159
  285. Tue Dec 4 20:01:36 2018 relations with 6 large ideals: 7670897
  286. Tue Dec 4 20:01:36 2018 relations with 7+ large ideals: 9266242
  287. Tue Dec 4 20:01:36 2018 commencing 2-way merge
  288. Tue Dec 4 20:01:49 2018 reduce to 18693777 relation sets and 17909577 unique ideals
  289. Tue Dec 4 20:01:49 2018 commencing full merge
  290. Tue Dec 4 20:06:49 2018 memory use: 2269.4 MB
  291. Tue Dec 4 20:06:51 2018 found 8162325 cycles, need 8137777
  292. Tue Dec 4 20:06:53 2018 weight of 8137777 cycles is about 1075095301 (132.11/cycle)
  293. Tue Dec 4 20:06:53 2018 distribution of cycle lengths:
  294. Tue Dec 4 20:06:53 2018 1 relations: 179997
  295. Tue Dec 4 20:06:53 2018 2 relations: 376143
  296. Tue Dec 4 20:06:53 2018 3 relations: 491024
  297. Tue Dec 4 20:06:53 2018 4 relations: 535080
  298. Tue Dec 4 20:06:53 2018 5 relations: 579270
  299. Tue Dec 4 20:06:53 2018 6 relations: 589708
  300. Tue Dec 4 20:06:53 2018 7 relations: 594943
  301. Tue Dec 4 20:06:53 2018 8 relations: 582337
  302. Tue Dec 4 20:06:53 2018 9 relations: 554864
  303. Tue Dec 4 20:06:53 2018 10+ relations: 3654411
  304. Tue Dec 4 20:06:53 2018 heaviest cycle: 28 relations
  305. Tue Dec 4 20:06:55 2018 commencing cycle optimization
  306. Tue Dec 4 20:07:08 2018 start with 78197410 relations
  307. Tue Dec 4 20:09:28 2018 pruned 4179061 relations
  308. Tue Dec 4 20:09:28 2018 memory use: 1969.6 MB
  309. Tue Dec 4 20:09:28 2018 distribution of cycle lengths:
  310. Tue Dec 4 20:09:28 2018 1 relations: 179997
  311. Tue Dec 4 20:09:28 2018 2 relations: 387770
  312. Tue Dec 4 20:09:28 2018 3 relations: 514584
  313. Tue Dec 4 20:09:28 2018 4 relations: 561994
  314. Tue Dec 4 20:09:28 2018 5 relations: 613090
  315. Tue Dec 4 20:09:28 2018 6 relations: 625745
  316. Tue Dec 4 20:09:28 2018 7 relations: 634699
  317. Tue Dec 4 20:09:28 2018 8 relations: 617955
  318. Tue Dec 4 20:09:28 2018 9 relations: 588268
  319. Tue Dec 4 20:09:28 2018 10+ relations: 3413675
  320. Tue Dec 4 20:09:28 2018 heaviest cycle: 28 relations
  321. Tue Dec 4 20:09:42 2018 RelProcTime: 4878
  322. Tue Dec 4 20:09:42 2018
  323. Tue Dec 4 20:09:42 2018 commencing linear algebra
  324. Tue Dec 4 20:09:42 2018 read 8137777 cycles
  325. Tue Dec 4 20:09:55 2018 cycles contain 27682768 unique relations
  326. Tue Dec 4 20:11:59 2018 read 27682768 relations
  327. Tue Dec 4 20:12:42 2018 using 20 quadratic characters above 4294917295
  328. Tue Dec 4 20:14:17 2018 building initial matrix
  329. Tue Dec 4 20:18:52 2018 memory use: 3550.0 MB
  330. Tue Dec 4 20:18:55 2018 read 8137777 cycles
  331. Tue Dec 4 20:18:56 2018 matrix is 8137600 x 8137777 (4104.6 MB) with weight 1196279675 (147.00/col)
  332. Tue Dec 4 20:18:56 2018 sparse part has weight 986483056 (121.22/col)
  333. Tue Dec 4 20:20:25 2018 filtering completed in 2 passes
  334. Tue Dec 4 20:20:27 2018 matrix is 8137538 x 8137715 (4104.6 MB) with weight 1196277327 (147.00/col)
  335. Tue Dec 4 20:20:27 2018 sparse part has weight 986482396 (121.22/col)
  336. Tue Dec 4 20:20:46 2018 matrix starts at (0, 0)
  337. Tue Dec 4 20:20:47 2018 matrix is 8137538 x 8137715 (4104.6 MB) with weight 1196277327 (147.00/col)
  338. Tue Dec 4 20:20:47 2018 sparse part has weight 986482396 (121.22/col)
  339. Tue Dec 4 20:20:47 2018 saving the first 48 matrix rows for later
  340. Tue Dec 4 20:20:48 2018 matrix includes 64 packed rows
  341. Tue Dec 4 20:20:49 2018 matrix is 8137490 x 8137715 (3952.6 MB) with weight 1033582242 (127.01/col)
  342. Tue Dec 4 20:20:49 2018 sparse part has weight 954770780 (117.33/col)
  343. Tue Dec 4 20:20:49 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  344. Tue Dec 4 20:21:16 2018 commencing Lanczos iteration (4 threads)
  345. Tue Dec 4 20:21:16 2018 memory use: 3738.2 MB
  346. Tue Dec 4 20:21:50 2018 linear algebra at 0.0%, ETA 47h32m
  347. Tue Dec 4 20:22:00 2018 checkpointing every 180000 dimensions
  348. Thu Dec 6 14:23:53 2018 lanczos halted after 128682 iterations (dim = 8137484)
  349. Thu Dec 6 14:24:07 2018 recovered 28 nontrivial dependencies
  350. Thu Dec 6 14:24:07 2018 BLanczosTime: 152065
  351. Thu Dec 6 14:24:07 2018
  352. Thu Dec 6 14:24:07 2018 commencing square root phase
  353. Thu Dec 6 14:24:07 2018 handling dependencies 1 to 64
  354. Thu Dec 6 14:24:07 2018 reading relations for dependency 1
  355. Thu Dec 6 14:24:08 2018 read 4069863 cycles
  356. Thu Dec 6 14:24:14 2018 cycles contain 13845946 unique relations
  357. Thu Dec 6 14:25:27 2018 read 13845946 relations
  358. Thu Dec 6 14:26:14 2018 multiplying 13845946 relations
  359. Thu Dec 6 14:33:50 2018 multiply complete, coefficients have about 360.23 million bits
  360. Thu Dec 6 14:33:52 2018 initial square root is modulo 2908333
  361. Thu Dec 6 14:42:11 2018 sqrtTime: 1084
  362. Thu Dec 6 14:42:11 2018 p102 factor: 559647924610854403401568717080628805264606580593269953349561941987695602688719119149386327288428648443
  363. Thu Dec 6 14:42:11 2018 p131 factor: 20418816933975834016567709480087208557104340294068167831918033315394614729369824370185380377178571898876526366195412592236234716447
  364. Thu Dec 6 14:42:11 2018 elapsed time 43:53:49
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