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9m7_299

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Apr 3rd, 2021
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  1. Tue Mar 30 23:27:41 2021
  2. Tue Mar 30 23:27:41 2021
  3. Tue Mar 30 23:27:41 2021 Msieve v. 1.54 (SVN 1040M)
  4. Tue Mar 30 23:27:41 2021 random seeds: 542882ce fe58d6e5
  5. Tue Mar 30 23:27:41 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  6. Tue Mar 30 23:27:42 2021 searching for 15-digit factors
  7. Tue Mar 30 23:27:42 2021 commencing number field sieve (198-digit input)
  8. Tue Mar 30 23:27:42 2021 R0: 78552421161120377019256071809393240624866690
  9. Tue Mar 30 23:27:42 2021 R1: -242567514087541147634431480398346066867647
  10. Tue Mar 30 23:27:42 2021 A0: -1
  11. Tue Mar 30 23:27:42 2021 A1: 3
  12. Tue Mar 30 23:27:42 2021 A2: 6
  13. Tue Mar 30 23:27:42 2021 A3: -4
  14. Tue Mar 30 23:27:42 2021 A4: -5
  15. Tue Mar 30 23:27:42 2021 A5: 1
  16. Tue Mar 30 23:27:42 2021 A6: 1
  17. Tue Mar 30 23:27:42 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  18. Tue Mar 30 23:27:42 2021
  19. Tue Mar 30 23:27:42 2021 commencing relation filtering
  20. Tue Mar 30 23:27:42 2021 setting target matrix density to 130.0
  21. Tue Mar 30 23:27:42 2021 estimated available RAM is 16384.0 MB
  22. Tue Mar 30 23:27:42 2021 commencing duplicate removal, pass 1
  23. Tue Mar 30 23:34:25 2021 error -1 reading relation 102694621
  24. Tue Mar 30 23:38:09 2021 error -15 reading relation 159399588
  25. Tue Mar 30 23:39:29 2021 error -5 reading relation 179619524
  26. Tue Mar 30 23:39:30 2021 error -15 reading relation 179716794
  27. Tue Mar 30 23:41:05 2021 skipped 1094 relations with b > 2^32
  28. Tue Mar 30 23:41:05 2021 skipped 5 relations with composite factors
  29. Tue Mar 30 23:41:05 2021 found 9081144 hash collisions in 203747240 relations
  30. Tue Mar 30 23:41:09 2021 added 2438358 free relations
  31. Tue Mar 30 23:41:09 2021 commencing duplicate removal, pass 2
  32. Tue Mar 30 23:41:51 2021 found 0 duplicates and 206185598 unique relations
  33. Tue Mar 30 23:41:51 2021 memory use: 522.4 MB
  34. Tue Mar 30 23:41:51 2021 reading ideals above 188284928
  35. Tue Mar 30 23:41:51 2021 commencing singleton removal, initial pass
  36. Tue Mar 30 23:51:50 2021 memory use: 3012.0 MB
  37. Tue Mar 30 23:51:50 2021 reading all ideals from disk
  38. Tue Mar 30 23:51:51 2021 memory use: 3728.1 MB
  39. Tue Mar 30 23:51:54 2021 commencing in-memory singleton removal
  40. Tue Mar 30 23:51:57 2021 begin with 206185598 relations and 163535393 unique ideals
  41. Tue Mar 30 23:52:34 2021 reduce to 148752637 relations and 101356266 ideals in 13 passes
  42. Tue Mar 30 23:52:34 2021 max relations containing the same ideal: 46
  43. Tue Mar 30 23:52:39 2021 reading ideals above 720000
  44. Tue Mar 30 23:52:39 2021 commencing singleton removal, initial pass
  45. Wed Mar 31 00:02:05 2021 memory use: 3012.0 MB
  46. Wed Mar 31 00:02:05 2021 reading all ideals from disk
  47. Wed Mar 31 00:02:06 2021 memory use: 6185.0 MB
  48. Wed Mar 31 00:02:13 2021 keeping 121511989 ideals with weight <= 200, target excess is 773630
  49. Wed Mar 31 00:02:21 2021 commencing in-memory singleton removal
  50. Wed Mar 31 00:02:26 2021 begin with 148752637 relations and 121511989 unique ideals
  51. Wed Mar 31 00:03:01 2021 reduce to 148750724 relations and 121510076 ideals in 7 passes
  52. Wed Mar 31 00:03:01 2021 max relations containing the same ideal: 200
  53. Wed Mar 31 00:03:30 2021 removing 10508542 relations and 8508542 ideals in 2000000 cliques
  54. Wed Mar 31 00:03:34 2021 commencing in-memory singleton removal
  55. Wed Mar 31 00:03:39 2021 begin with 138242182 relations and 121510076 unique ideals
  56. Wed Mar 31 00:04:11 2021 reduce to 137633944 relations and 112382263 ideals in 7 passes
  57. Wed Mar 31 00:04:11 2021 max relations containing the same ideal: 197
  58. Wed Mar 31 00:04:38 2021 removing 8125570 relations and 6125570 ideals in 2000000 cliques
  59. Wed Mar 31 00:04:41 2021 commencing in-memory singleton removal
  60. Wed Mar 31 00:04:46 2021 begin with 129508374 relations and 112382263 unique ideals
  61. Wed Mar 31 00:05:20 2021 reduce to 129099115 relations and 105841110 ideals in 8 passes
  62. Wed Mar 31 00:05:20 2021 max relations containing the same ideal: 191
  63. Wed Mar 31 00:05:46 2021 removing 7412809 relations and 5412809 ideals in 2000000 cliques
  64. Wed Mar 31 00:05:49 2021 commencing in-memory singleton removal
  65. Wed Mar 31 00:05:53 2021 begin with 121686306 relations and 105841110 unique ideals
  66. Wed Mar 31 00:06:22 2021 reduce to 121324328 relations and 100060639 ideals in 7 passes
  67. Wed Mar 31 00:06:22 2021 max relations containing the same ideal: 186
  68. Wed Mar 31 00:06:46 2021 removing 7057843 relations and 5057843 ideals in 2000000 cliques
  69. Wed Mar 31 00:06:49 2021 commencing in-memory singleton removal
  70. Wed Mar 31 00:06:53 2021 begin with 114266485 relations and 100060639 unique ideals
  71. Wed Mar 31 00:07:19 2021 reduce to 113924032 relations and 94655048 ideals in 7 passes
  72. Wed Mar 31 00:07:19 2021 max relations containing the same ideal: 180
  73. Wed Mar 31 00:07:42 2021 removing 6849483 relations and 4849483 ideals in 2000000 cliques
  74. Wed Mar 31 00:07:44 2021 commencing in-memory singleton removal
  75. Wed Mar 31 00:07:48 2021 begin with 107074549 relations and 94655048 unique ideals
  76. Wed Mar 31 00:08:13 2021 reduce to 106734571 relations and 89460118 ideals in 7 passes
  77. Wed Mar 31 00:08:13 2021 max relations containing the same ideal: 170
  78. Wed Mar 31 00:08:35 2021 removing 6715086 relations and 4715086 ideals in 2000000 cliques
  79. Wed Mar 31 00:08:37 2021 commencing in-memory singleton removal
  80. Wed Mar 31 00:08:40 2021 begin with 100019485 relations and 89460118 unique ideals
  81. Wed Mar 31 00:09:04 2021 reduce to 99677446 relations and 84397068 ideals in 7 passes
  82. Wed Mar 31 00:09:04 2021 max relations containing the same ideal: 163
  83. Wed Mar 31 00:09:24 2021 removing 6633009 relations and 4633009 ideals in 2000000 cliques
  84. Wed Mar 31 00:09:27 2021 commencing in-memory singleton removal
  85. Wed Mar 31 00:09:30 2021 begin with 93044437 relations and 84397068 unique ideals
  86. Wed Mar 31 00:09:51 2021 reduce to 92692788 relations and 79406061 ideals in 7 passes
  87. Wed Mar 31 00:09:51 2021 max relations containing the same ideal: 155
  88. Wed Mar 31 00:10:11 2021 removing 6584933 relations and 4584933 ideals in 2000000 cliques
  89. Wed Mar 31 00:10:13 2021 commencing in-memory singleton removal
  90. Wed Mar 31 00:10:16 2021 begin with 86107855 relations and 79406061 unique ideals
  91. Wed Mar 31 00:10:36 2021 reduce to 85740302 relations and 74446455 ideals in 7 passes
  92. Wed Mar 31 00:10:36 2021 max relations containing the same ideal: 148
  93. Wed Mar 31 00:10:54 2021 removing 6566382 relations and 4566382 ideals in 2000000 cliques
  94. Wed Mar 31 00:10:56 2021 commencing in-memory singleton removal
  95. Wed Mar 31 00:10:59 2021 begin with 79173920 relations and 74446455 unique ideals
  96. Wed Mar 31 00:11:17 2021 reduce to 78782595 relations and 69480680 ideals in 7 passes
  97. Wed Mar 31 00:11:17 2021 max relations containing the same ideal: 140
  98. Wed Mar 31 00:11:34 2021 removing 6574701 relations and 4574701 ideals in 2000000 cliques
  99. Wed Mar 31 00:11:36 2021 commencing in-memory singleton removal
  100. Wed Mar 31 00:11:38 2021 begin with 72207894 relations and 69480680 unique ideals
  101. Wed Mar 31 00:11:55 2021 reduce to 71786521 relations and 64475251 ideals in 7 passes
  102. Wed Mar 31 00:11:55 2021 max relations containing the same ideal: 131
  103. Wed Mar 31 00:12:11 2021 removing 6599122 relations and 4599122 ideals in 2000000 cliques
  104. Wed Mar 31 00:12:13 2021 commencing in-memory singleton removal
  105. Wed Mar 31 00:12:15 2021 begin with 65187399 relations and 64475251 unique ideals
  106. Wed Mar 31 00:12:29 2021 reduce to 64726040 relations and 59403652 ideals in 7 passes
  107. Wed Mar 31 00:12:29 2021 max relations containing the same ideal: 120
  108. Wed Mar 31 00:12:44 2021 removing 6645026 relations and 4645026 ideals in 2000000 cliques
  109. Wed Mar 31 00:12:46 2021 commencing in-memory singleton removal
  110. Wed Mar 31 00:12:48 2021 begin with 58081014 relations and 59403652 unique ideals
  111. Wed Mar 31 00:13:03 2021 reduce to 57565441 relations and 54229524 ideals in 8 passes
  112. Wed Mar 31 00:13:03 2021 max relations containing the same ideal: 111
  113. Wed Mar 31 00:13:16 2021 removing 6699538 relations and 4699538 ideals in 2000000 cliques
  114. Wed Mar 31 00:13:18 2021 commencing in-memory singleton removal
  115. Wed Mar 31 00:13:19 2021 begin with 50865903 relations and 54229524 unique ideals
  116. Wed Mar 31 00:13:34 2021 reduce to 50280240 relations and 48926945 ideals in 9 passes
  117. Wed Mar 31 00:13:34 2021 max relations containing the same ideal: 102
  118. Wed Mar 31 00:13:45 2021 removing 2055513 relations and 1599629 ideals in 455884 cliques
  119. Wed Mar 31 00:13:47 2021 commencing in-memory singleton removal
  120. Wed Mar 31 00:13:48 2021 begin with 48224727 relations and 48926945 unique ideals
  121. Wed Mar 31 00:13:57 2021 reduce to 48166586 relations and 47268704 ideals in 6 passes
  122. Wed Mar 31 00:13:57 2021 max relations containing the same ideal: 100
  123. Wed Mar 31 00:14:12 2021 relations with 0 large ideals: 53718
  124. Wed Mar 31 00:14:12 2021 relations with 1 large ideals: 6432
  125. Wed Mar 31 00:14:12 2021 relations with 2 large ideals: 78192
  126. Wed Mar 31 00:14:12 2021 relations with 3 large ideals: 604606
  127. Wed Mar 31 00:14:12 2021 relations with 4 large ideals: 2605860
  128. Wed Mar 31 00:14:12 2021 relations with 5 large ideals: 6810956
  129. Wed Mar 31 00:14:12 2021 relations with 6 large ideals: 11304161
  130. Wed Mar 31 00:14:12 2021 relations with 7+ large ideals: 26702661
  131. Wed Mar 31 00:14:12 2021 commencing 2-way merge
  132. Wed Mar 31 00:14:30 2021 reduce to 32919297 relation sets and 32021415 unique ideals
  133. Wed Mar 31 00:14:30 2021 commencing full merge
  134. Wed Mar 31 00:33:43 2021 memory use: 1480.2 MB
  135. Wed Mar 31 00:33:43 2021 found 97706 cycles, need 6868330
  136. Wed Mar 31 00:33:43 2021 too few cycles, matrix probably cannot build
  137. Wed Mar 31 00:33:43 2021 filtering wants 1000000 more relations
  138. Wed Mar 31 00:33:43 2021 elapsed time 01:06:02
  139. Wed Mar 31 06:49:03 2021
  140. Wed Mar 31 06:49:03 2021
  141. Wed Mar 31 06:49:03 2021 Msieve v. 1.54 (SVN 1040M)
  142. Wed Mar 31 06:49:03 2021 random seeds: cc93cd56 83219fa6
  143. Wed Mar 31 06:49:03 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  144. Wed Mar 31 06:49:04 2021 searching for 15-digit factors
  145. Wed Mar 31 06:49:04 2021 commencing number field sieve (198-digit input)
  146. Wed Mar 31 06:49:04 2021 R0: 78552421161120377019256071809393240624866690
  147. Wed Mar 31 06:49:04 2021 R1: -242567514087541147634431480398346066867647
  148. Wed Mar 31 06:49:04 2021 A0: -1
  149. Wed Mar 31 06:49:04 2021 A1: 3
  150. Wed Mar 31 06:49:04 2021 A2: 6
  151. Wed Mar 31 06:49:04 2021 A3: -4
  152. Wed Mar 31 06:49:04 2021 A4: -5
  153. Wed Mar 31 06:49:04 2021 A5: 1
  154. Wed Mar 31 06:49:04 2021 A6: 1
  155. Wed Mar 31 06:49:04 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  156. Wed Mar 31 06:49:04 2021
  157. Wed Mar 31 06:49:04 2021 commencing relation filtering
  158. Wed Mar 31 06:49:04 2021 setting target matrix density to 130.0
  159. Wed Mar 31 06:49:04 2021 estimated available RAM is 16384.0 MB
  160. Wed Mar 31 06:49:04 2021 commencing duplicate removal, pass 1
  161. Wed Mar 31 06:55:47 2021 error -1 reading relation 102694621
  162. Wed Mar 31 06:59:31 2021 error -15 reading relation 159399588
  163. Wed Mar 31 07:00:52 2021 error -5 reading relation 179619524
  164. Wed Mar 31 07:00:52 2021 error -15 reading relation 179716794
  165. Wed Mar 31 07:02:41 2021 skipped 1135 relations with b > 2^32
  166. Wed Mar 31 07:02:41 2021 skipped 5 relations with composite factors
  167. Wed Mar 31 07:02:41 2021 found 9372900 hash collisions in 207086756 relations
  168. Wed Mar 31 07:02:46 2021 added 2438358 free relations
  169. Wed Mar 31 07:02:46 2021 commencing duplicate removal, pass 2
  170. Wed Mar 31 07:03:28 2021 found 0 duplicates and 209525114 unique relations
  171. Wed Mar 31 07:03:28 2021 memory use: 522.4 MB
  172. Wed Mar 31 07:03:28 2021 reading ideals above 188284928
  173. Wed Mar 31 07:03:28 2021 commencing singleton removal, initial pass
  174. Wed Mar 31 07:13:36 2021 memory use: 5512.0 MB
  175. Wed Mar 31 07:13:36 2021 reading all ideals from disk
  176. Wed Mar 31 07:13:37 2021 memory use: 3797.5 MB
  177. Wed Mar 31 07:13:40 2021 commencing in-memory singleton removal
  178. Wed Mar 31 07:13:43 2021 begin with 209525114 relations and 164253130 unique ideals
  179. Wed Mar 31 07:14:21 2021 reduce to 153365593 relations and 103600653 ideals in 13 passes
  180. Wed Mar 31 07:14:21 2021 max relations containing the same ideal: 46
  181. Wed Mar 31 07:14:26 2021 reading ideals above 720000
  182. Wed Mar 31 07:14:27 2021 commencing singleton removal, initial pass
  183. Wed Mar 31 07:24:08 2021 memory use: 3012.0 MB
  184. Wed Mar 31 07:24:08 2021 reading all ideals from disk
  185. Wed Mar 31 07:24:10 2021 memory use: 6378.6 MB
  186. Wed Mar 31 07:24:17 2021 keeping 123731332 ideals with weight <= 200, target excess is 798690
  187. Wed Mar 31 07:24:25 2021 commencing in-memory singleton removal
  188. Wed Mar 31 07:24:30 2021 begin with 153365593 relations and 123731332 unique ideals
  189. Wed Mar 31 07:25:06 2021 reduce to 153364216 relations and 123729955 ideals in 7 passes
  190. Wed Mar 31 07:25:06 2021 max relations containing the same ideal: 200
  191. Wed Mar 31 07:25:36 2021 removing 10280830 relations and 8280830 ideals in 2000000 cliques
  192. Wed Mar 31 07:25:40 2021 commencing in-memory singleton removal
  193. Wed Mar 31 07:25:44 2021 begin with 143083386 relations and 123729955 unique ideals
  194. Wed Mar 31 07:26:18 2021 reduce to 142520180 relations and 114876059 ideals in 7 passes
  195. Wed Mar 31 07:26:18 2021 max relations containing the same ideal: 198
  196. Wed Mar 31 07:26:45 2021 removing 7956975 relations and 5956975 ideals in 2000000 cliques
  197. Wed Mar 31 07:26:49 2021 commencing in-memory singleton removal
  198. Wed Mar 31 07:26:53 2021 begin with 134563205 relations and 114876059 unique ideals
  199. Wed Mar 31 07:27:29 2021 reduce to 134184020 relations and 108534231 ideals in 8 passes
  200. Wed Mar 31 07:27:29 2021 max relations containing the same ideal: 193
  201. Wed Mar 31 07:27:55 2021 removing 7262084 relations and 5262084 ideals in 2000000 cliques
  202. Wed Mar 31 07:27:58 2021 commencing in-memory singleton removal
  203. Wed Mar 31 07:28:02 2021 begin with 126921936 relations and 108534231 unique ideals
  204. Wed Mar 31 07:28:32 2021 reduce to 126585384 relations and 102930528 ideals in 7 passes
  205. Wed Mar 31 07:28:32 2021 max relations containing the same ideal: 188
  206. Wed Mar 31 07:28:57 2021 removing 6913986 relations and 4913986 ideals in 2000000 cliques
  207. Wed Mar 31 07:29:00 2021 commencing in-memory singleton removal
  208. Wed Mar 31 07:29:04 2021 begin with 119671398 relations and 102930528 unique ideals
  209. Wed Mar 31 07:29:31 2021 reduce to 119356066 relations and 97696428 ideals in 7 passes
  210. Wed Mar 31 07:29:31 2021 max relations containing the same ideal: 183
  211. Wed Mar 31 07:29:55 2021 removing 6708085 relations and 4708085 ideals in 2000000 cliques
  212. Wed Mar 31 07:29:58 2021 commencing in-memory singleton removal
  213. Wed Mar 31 07:30:02 2021 begin with 112647981 relations and 97696428 unique ideals
  214. Wed Mar 31 07:30:24 2021 reduce to 112337130 relations and 92672753 ideals in 6 passes
  215. Wed Mar 31 07:30:24 2021 max relations containing the same ideal: 176
  216. Wed Mar 31 07:30:47 2021 removing 6572469 relations and 4572469 ideals in 2000000 cliques
  217. Wed Mar 31 07:30:50 2021 commencing in-memory singleton removal
  218. Wed Mar 31 07:30:53 2021 begin with 105764661 relations and 92672753 unique ideals
  219. Wed Mar 31 07:31:18 2021 reduce to 105453551 relations and 87784044 ideals in 7 passes
  220. Wed Mar 31 07:31:18 2021 max relations containing the same ideal: 168
  221. Wed Mar 31 07:31:39 2021 removing 6488946 relations and 4488946 ideals in 2000000 cliques
  222. Wed Mar 31 07:31:42 2021 commencing in-memory singleton removal
  223. Wed Mar 31 07:31:45 2021 begin with 98964605 relations and 87784044 unique ideals
  224. Wed Mar 31 07:32:08 2021 reduce to 98648436 relations and 82973333 ideals in 7 passes
  225. Wed Mar 31 07:32:08 2021 max relations containing the same ideal: 158
  226. Wed Mar 31 07:32:28 2021 removing 6433168 relations and 4433168 ideals in 2000000 cliques
  227. Wed Mar 31 07:32:31 2021 commencing in-memory singleton removal
  228. Wed Mar 31 07:32:33 2021 begin with 92215268 relations and 82973333 unique ideals
  229. Wed Mar 31 07:32:55 2021 reduce to 91887689 relations and 78206550 ideals in 7 passes
  230. Wed Mar 31 07:32:55 2021 max relations containing the same ideal: 150
  231. Wed Mar 31 07:33:14 2021 removing 6408194 relations and 4408194 ideals in 2000000 cliques
  232. Wed Mar 31 07:33:16 2021 commencing in-memory singleton removal
  233. Wed Mar 31 07:33:19 2021 begin with 85479495 relations and 78206550 unique ideals
  234. Wed Mar 31 07:33:38 2021 reduce to 85135752 relations and 73447840 ideals in 7 passes
  235. Wed Mar 31 07:33:38 2021 max relations containing the same ideal: 145
  236. Wed Mar 31 07:33:56 2021 removing 6402683 relations and 4402683 ideals in 2000000 cliques
  237. Wed Mar 31 07:33:58 2021 commencing in-memory singleton removal
  238. Wed Mar 31 07:34:01 2021 begin with 78733069 relations and 73447840 unique ideals
  239. Wed Mar 31 07:34:19 2021 reduce to 78366118 relations and 68670701 ideals in 7 passes
  240. Wed Mar 31 07:34:19 2021 max relations containing the same ideal: 137
  241. Wed Mar 31 07:34:36 2021 removing 6414752 relations and 4414752 ideals in 2000000 cliques
  242. Wed Mar 31 07:34:38 2021 commencing in-memory singleton removal
  243. Wed Mar 31 07:34:40 2021 begin with 71951366 relations and 68670701 unique ideals
  244. Wed Mar 31 07:34:56 2021 reduce to 71555618 relations and 63851391 ideals in 7 passes
  245. Wed Mar 31 07:34:56 2021 max relations containing the same ideal: 128
  246. Wed Mar 31 07:35:12 2021 removing 6447116 relations and 4447116 ideals in 2000000 cliques
  247. Wed Mar 31 07:35:14 2021 commencing in-memory singleton removal
  248. Wed Mar 31 07:35:16 2021 begin with 65108502 relations and 63851391 unique ideals
  249. Wed Mar 31 07:35:31 2021 reduce to 64675105 relations and 58960510 ideals in 7 passes
  250. Wed Mar 31 07:35:31 2021 max relations containing the same ideal: 120
  251. Wed Mar 31 07:35:45 2021 removing 6487178 relations and 4487178 ideals in 2000000 cliques
  252. Wed Mar 31 07:35:47 2021 commencing in-memory singleton removal
  253. Wed Mar 31 07:35:48 2021 begin with 58187927 relations and 58960510 unique ideals
  254. Wed Mar 31 07:36:02 2021 reduce to 57704556 relations and 53977288 ideals in 7 passes
  255. Wed Mar 31 07:36:02 2021 max relations containing the same ideal: 111
  256. Wed Mar 31 07:36:15 2021 removing 6542094 relations and 4542094 ideals in 2000000 cliques
  257. Wed Mar 31 07:36:16 2021 commencing in-memory singleton removal
  258. Wed Mar 31 07:36:19 2021 begin with 51162462 relations and 53977288 unique ideals
  259. Wed Mar 31 07:36:30 2021 reduce to 50618985 relations and 48875611 ideals in 7 passes
  260. Wed Mar 31 07:36:30 2021 max relations containing the same ideal: 102
  261. Wed Mar 31 07:36:42 2021 removing 3219437 relations and 2402544 ideals in 816893 cliques
  262. Wed Mar 31 07:36:43 2021 commencing in-memory singleton removal
  263. Wed Mar 31 07:36:44 2021 begin with 47399548 relations and 48875611 unique ideals
  264. Wed Mar 31 07:36:55 2021 reduce to 47255428 relations and 46326988 ideals in 7 passes
  265. Wed Mar 31 07:36:55 2021 max relations containing the same ideal: 98
  266. Wed Mar 31 07:37:10 2021 relations with 0 large ideals: 55450
  267. Wed Mar 31 07:37:10 2021 relations with 1 large ideals: 6949
  268. Wed Mar 31 07:37:10 2021 relations with 2 large ideals: 85471
  269. Wed Mar 31 07:37:10 2021 relations with 3 large ideals: 647553
  270. Wed Mar 31 07:37:10 2021 relations with 4 large ideals: 2725104
  271. Wed Mar 31 07:37:10 2021 relations with 5 large ideals: 6950638
  272. Wed Mar 31 07:37:10 2021 relations with 6 large ideals: 11248061
  273. Wed Mar 31 07:37:10 2021 relations with 7+ large ideals: 25536202
  274. Wed Mar 31 07:37:10 2021 commencing 2-way merge
  275. Wed Mar 31 07:37:27 2021 reduce to 32489612 relation sets and 31561172 unique ideals
  276. Wed Mar 31 07:37:27 2021 commencing full merge
  277. Wed Mar 31 07:56:05 2021 memory use: 1459.6 MB
  278. Wed Mar 31 07:56:05 2021 found 96797 cycles, need 6794656
  279. Wed Mar 31 07:56:05 2021 too few cycles, matrix probably cannot build
  280. Wed Mar 31 07:56:05 2021 filtering wants 1000000 more relations
  281. Wed Mar 31 07:56:05 2021 elapsed time 01:07:02
  282. Wed Mar 31 09:00:05 2021
  283. Wed Mar 31 09:00:05 2021
  284. Wed Mar 31 09:00:05 2021 Msieve v. 1.54 (SVN 1040M)
  285. Wed Mar 31 09:00:05 2021 random seeds: a7708a14 3bdf571b
  286. Wed Mar 31 09:00:05 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  287. Wed Mar 31 09:00:06 2021 searching for 15-digit factors
  288. Wed Mar 31 09:00:06 2021 commencing number field sieve (198-digit input)
  289. Wed Mar 31 09:00:06 2021 R0: 78552421161120377019256071809393240624866690
  290. Wed Mar 31 09:00:06 2021 R1: -242567514087541147634431480398346066867647
  291. Wed Mar 31 09:00:06 2021 A0: -1
  292. Wed Mar 31 09:00:06 2021 A1: 3
  293. Wed Mar 31 09:00:06 2021 A2: 6
  294. Wed Mar 31 09:00:06 2021 A3: -4
  295. Wed Mar 31 09:00:06 2021 A4: -5
  296. Wed Mar 31 09:00:06 2021 A5: 1
  297. Wed Mar 31 09:00:06 2021 A6: 1
  298. Wed Mar 31 09:00:06 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  299. Wed Mar 31 09:00:06 2021
  300. Wed Mar 31 09:00:06 2021 commencing relation filtering
  301. Wed Mar 31 09:00:06 2021 setting target matrix density to 124.0
  302. Wed Mar 31 09:00:06 2021 estimated available RAM is 16384.0 MB
  303. Wed Mar 31 09:00:06 2021 commencing duplicate removal, pass 1
  304. Wed Mar 31 09:06:48 2021 error -1 reading relation 102694621
  305. Wed Mar 31 09:10:33 2021 error -15 reading relation 159399588
  306. Wed Mar 31 09:11:53 2021 error -5 reading relation 179619524
  307. Wed Mar 31 09:11:53 2021 error -15 reading relation 179716794
  308. Wed Mar 31 09:14:08 2021 skipped 1135 relations with b > 2^32
  309. Wed Mar 31 09:14:08 2021 skipped 5 relations with composite factors
  310. Wed Mar 31 09:14:08 2021 found 9586893 hash collisions in 209525114 relations
  311. Wed Mar 31 09:14:08 2021 commencing duplicate removal, pass 2
  312. Wed Mar 31 09:14:51 2021 found 0 duplicates and 209525114 unique relations
  313. Wed Mar 31 09:14:51 2021 memory use: 522.4 MB
  314. Wed Mar 31 09:14:51 2021 reading ideals above 188284928
  315. Wed Mar 31 09:14:51 2021 commencing singleton removal, initial pass
  316. Wed Mar 31 09:24:59 2021 memory use: 5512.0 MB
  317. Wed Mar 31 09:24:59 2021 reading all ideals from disk
  318. Wed Mar 31 09:25:00 2021 memory use: 3797.5 MB
  319. Wed Mar 31 09:25:03 2021 commencing in-memory singleton removal
  320. Wed Mar 31 09:25:06 2021 begin with 209525114 relations and 164253130 unique ideals
  321. Wed Mar 31 09:25:43 2021 reduce to 153365593 relations and 103600653 ideals in 13 passes
  322. Wed Mar 31 09:25:43 2021 max relations containing the same ideal: 46
  323. Wed Mar 31 09:25:49 2021 reading ideals above 720000
  324. Wed Mar 31 09:25:49 2021 commencing singleton removal, initial pass
  325. Wed Mar 31 09:35:30 2021 memory use: 3012.0 MB
  326. Wed Mar 31 09:35:30 2021 reading all ideals from disk
  327. Wed Mar 31 09:35:31 2021 memory use: 6378.6 MB
  328. Wed Mar 31 09:35:38 2021 keeping 123731332 ideals with weight <= 200, target excess is 798690
  329. Wed Mar 31 09:35:46 2021 commencing in-memory singleton removal
  330. Wed Mar 31 09:35:51 2021 begin with 153365593 relations and 123731332 unique ideals
  331. Wed Mar 31 09:36:27 2021 reduce to 153364216 relations and 123729955 ideals in 7 passes
  332. Wed Mar 31 09:36:27 2021 max relations containing the same ideal: 200
  333. Wed Mar 31 09:36:57 2021 removing 10280830 relations and 8280830 ideals in 2000000 cliques
  334. Wed Mar 31 09:37:01 2021 commencing in-memory singleton removal
  335. Wed Mar 31 09:37:06 2021 begin with 143083386 relations and 123729955 unique ideals
  336. Wed Mar 31 09:37:39 2021 reduce to 142520180 relations and 114876059 ideals in 7 passes
  337. Wed Mar 31 09:37:39 2021 max relations containing the same ideal: 198
  338. Wed Mar 31 09:38:07 2021 removing 7956975 relations and 5956975 ideals in 2000000 cliques
  339. Wed Mar 31 09:38:10 2021 commencing in-memory singleton removal
  340. Wed Mar 31 09:38:15 2021 begin with 134563205 relations and 114876059 unique ideals
  341. Wed Mar 31 09:38:51 2021 reduce to 134184020 relations and 108534231 ideals in 8 passes
  342. Wed Mar 31 09:38:51 2021 max relations containing the same ideal: 193
  343. Wed Mar 31 09:39:17 2021 removing 7262084 relations and 5262084 ideals in 2000000 cliques
  344. Wed Mar 31 09:39:20 2021 commencing in-memory singleton removal
  345. Wed Mar 31 09:39:24 2021 begin with 126921936 relations and 108534231 unique ideals
  346. Wed Mar 31 09:39:54 2021 reduce to 126585384 relations and 102930528 ideals in 7 passes
  347. Wed Mar 31 09:39:54 2021 max relations containing the same ideal: 188
  348. Wed Mar 31 09:40:19 2021 removing 6913986 relations and 4913986 ideals in 2000000 cliques
  349. Wed Mar 31 09:40:22 2021 commencing in-memory singleton removal
  350. Wed Mar 31 09:40:26 2021 begin with 119671398 relations and 102930528 unique ideals
  351. Wed Mar 31 09:40:53 2021 reduce to 119356066 relations and 97696428 ideals in 7 passes
  352. Wed Mar 31 09:40:53 2021 max relations containing the same ideal: 183
  353. Wed Mar 31 09:41:17 2021 removing 6708085 relations and 4708085 ideals in 2000000 cliques
  354. Wed Mar 31 09:41:20 2021 commencing in-memory singleton removal
  355. Wed Mar 31 09:41:24 2021 begin with 112647981 relations and 97696428 unique ideals
  356. Wed Mar 31 09:41:46 2021 reduce to 112337130 relations and 92672753 ideals in 6 passes
  357. Wed Mar 31 09:41:46 2021 max relations containing the same ideal: 176
  358. Wed Mar 31 09:42:09 2021 removing 6572469 relations and 4572469 ideals in 2000000 cliques
  359. Wed Mar 31 09:42:11 2021 commencing in-memory singleton removal
  360. Wed Mar 31 09:42:14 2021 begin with 105764661 relations and 92672753 unique ideals
  361. Wed Mar 31 09:42:39 2021 reduce to 105453551 relations and 87784044 ideals in 7 passes
  362. Wed Mar 31 09:42:39 2021 max relations containing the same ideal: 168
  363. Wed Mar 31 09:43:00 2021 removing 6488946 relations and 4488946 ideals in 2000000 cliques
  364. Wed Mar 31 09:43:03 2021 commencing in-memory singleton removal
  365. Wed Mar 31 09:43:06 2021 begin with 98964605 relations and 87784044 unique ideals
  366. Wed Mar 31 09:43:29 2021 reduce to 98648436 relations and 82973333 ideals in 7 passes
  367. Wed Mar 31 09:43:29 2021 max relations containing the same ideal: 158
  368. Wed Mar 31 09:43:49 2021 removing 6433168 relations and 4433168 ideals in 2000000 cliques
  369. Wed Mar 31 09:43:52 2021 commencing in-memory singleton removal
  370. Wed Mar 31 09:43:55 2021 begin with 92215268 relations and 82973333 unique ideals
  371. Wed Mar 31 09:44:16 2021 reduce to 91887689 relations and 78206550 ideals in 7 passes
  372. Wed Mar 31 09:44:16 2021 max relations containing the same ideal: 150
  373. Wed Mar 31 09:44:35 2021 removing 6408194 relations and 4408194 ideals in 2000000 cliques
  374. Wed Mar 31 09:44:37 2021 commencing in-memory singleton removal
  375. Wed Mar 31 09:44:40 2021 begin with 85479495 relations and 78206550 unique ideals
  376. Wed Mar 31 09:45:00 2021 reduce to 85135752 relations and 73447840 ideals in 7 passes
  377. Wed Mar 31 09:45:00 2021 max relations containing the same ideal: 145
  378. Wed Mar 31 09:45:18 2021 removing 6402683 relations and 4402683 ideals in 2000000 cliques
  379. Wed Mar 31 09:45:20 2021 commencing in-memory singleton removal
  380. Wed Mar 31 09:45:22 2021 begin with 78733069 relations and 73447840 unique ideals
  381. Wed Mar 31 09:45:40 2021 reduce to 78366118 relations and 68670701 ideals in 7 passes
  382. Wed Mar 31 09:45:40 2021 max relations containing the same ideal: 137
  383. Wed Mar 31 09:45:57 2021 removing 6414752 relations and 4414752 ideals in 2000000 cliques
  384. Wed Mar 31 09:45:59 2021 commencing in-memory singleton removal
  385. Wed Mar 31 09:46:02 2021 begin with 71951366 relations and 68670701 unique ideals
  386. Wed Mar 31 09:46:18 2021 reduce to 71555618 relations and 63851391 ideals in 7 passes
  387. Wed Mar 31 09:46:18 2021 max relations containing the same ideal: 128
  388. Wed Mar 31 09:46:33 2021 removing 6447116 relations and 4447116 ideals in 2000000 cliques
  389. Wed Mar 31 09:46:35 2021 commencing in-memory singleton removal
  390. Wed Mar 31 09:46:37 2021 begin with 65108502 relations and 63851391 unique ideals
  391. Wed Mar 31 09:46:52 2021 reduce to 64675105 relations and 58960510 ideals in 7 passes
  392. Wed Mar 31 09:46:52 2021 max relations containing the same ideal: 120
  393. Wed Mar 31 09:47:06 2021 removing 6487178 relations and 4487178 ideals in 2000000 cliques
  394. Wed Mar 31 09:47:08 2021 commencing in-memory singleton removal
  395. Wed Mar 31 09:47:10 2021 begin with 58187927 relations and 58960510 unique ideals
  396. Wed Mar 31 09:47:23 2021 reduce to 57704556 relations and 53977288 ideals in 7 passes
  397. Wed Mar 31 09:47:23 2021 max relations containing the same ideal: 111
  398. Wed Mar 31 09:47:36 2021 removing 6542094 relations and 4542094 ideals in 2000000 cliques
  399. Wed Mar 31 09:47:38 2021 commencing in-memory singleton removal
  400. Wed Mar 31 09:47:39 2021 begin with 51162462 relations and 53977288 unique ideals
  401. Wed Mar 31 09:47:51 2021 reduce to 50618985 relations and 48875611 ideals in 7 passes
  402. Wed Mar 31 09:47:51 2021 max relations containing the same ideal: 102
  403. Wed Mar 31 09:48:02 2021 removing 3219437 relations and 2402544 ideals in 816893 cliques
  404. Wed Mar 31 09:48:04 2021 commencing in-memory singleton removal
  405. Wed Mar 31 09:48:05 2021 begin with 47399548 relations and 48875611 unique ideals
  406. Wed Mar 31 09:48:16 2021 reduce to 47255428 relations and 46326988 ideals in 7 passes
  407. Wed Mar 31 09:48:16 2021 max relations containing the same ideal: 98
  408. Wed Mar 31 09:48:31 2021 relations with 0 large ideals: 55450
  409. Wed Mar 31 09:48:31 2021 relations with 1 large ideals: 6949
  410. Wed Mar 31 09:48:31 2021 relations with 2 large ideals: 85471
  411. Wed Mar 31 09:48:31 2021 relations with 3 large ideals: 647553
  412. Wed Mar 31 09:48:31 2021 relations with 4 large ideals: 2725104
  413. Wed Mar 31 09:48:31 2021 relations with 5 large ideals: 6950638
  414. Wed Mar 31 09:48:31 2021 relations with 6 large ideals: 11248061
  415. Wed Mar 31 09:48:31 2021 relations with 7+ large ideals: 25536202
  416. Wed Mar 31 09:48:31 2021 commencing 2-way merge
  417. Wed Mar 31 09:48:47 2021 reduce to 32489612 relation sets and 31561172 unique ideals
  418. Wed Mar 31 09:48:47 2021 commencing full merge
  419. Wed Mar 31 10:07:40 2021 memory use: 1459.6 MB
  420. Wed Mar 31 10:07:40 2021 found 96797 cycles, need 6794656
  421. Wed Mar 31 10:07:40 2021 too few cycles, matrix probably cannot build
  422. Wed Mar 31 10:07:40 2021 filtering wants 1000000 more relations
  423. Wed Mar 31 10:07:40 2021 elapsed time 01:07:35
  424. Wed Mar 31 10:28:15 2021
  425. Wed Mar 31 10:28:15 2021
  426. Wed Mar 31 10:28:15 2021 Msieve v. 1.54 (SVN 1040M)
  427. Wed Mar 31 10:28:15 2021 random seeds: df55b2a3 5f51c9bc
  428. Wed Mar 31 10:28:15 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  429. Wed Mar 31 10:28:16 2021 searching for 15-digit factors
  430. Wed Mar 31 10:28:16 2021 commencing number field sieve (198-digit input)
  431. Wed Mar 31 10:28:16 2021 R0: 78552421161120377019256071809393240624866690
  432. Wed Mar 31 10:28:16 2021 R1: -242567514087541147634431480398346066867647
  433. Wed Mar 31 10:28:16 2021 A0: -1
  434. Wed Mar 31 10:28:16 2021 A1: 3
  435. Wed Mar 31 10:28:16 2021 A2: 6
  436. Wed Mar 31 10:28:16 2021 A3: -4
  437. Wed Mar 31 10:28:16 2021 A4: -5
  438. Wed Mar 31 10:28:16 2021 A5: 1
  439. Wed Mar 31 10:28:16 2021 A6: 1
  440. Wed Mar 31 10:28:16 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  441. Wed Mar 31 10:28:16 2021
  442. Wed Mar 31 10:28:16 2021 commencing relation filtering
  443. Wed Mar 31 10:28:16 2021 setting target matrix density to 120.0
  444. Wed Mar 31 10:28:16 2021 estimated available RAM is 16384.0 MB
  445. Wed Mar 31 10:28:16 2021 commencing duplicate removal, pass 1
  446. Wed Mar 31 10:34:58 2021 error -1 reading relation 102694621
  447. Wed Mar 31 10:38:42 2021 error -15 reading relation 159399588
  448. Wed Mar 31 10:40:03 2021 error -5 reading relation 179619524
  449. Wed Mar 31 10:40:03 2021 error -15 reading relation 179716794
  450. Wed Mar 31 10:42:18 2021 skipped 1135 relations with b > 2^32
  451. Wed Mar 31 10:42:18 2021 skipped 5 relations with composite factors
  452. Wed Mar 31 10:42:18 2021 found 9586893 hash collisions in 209525114 relations
  453. Wed Mar 31 10:42:18 2021 commencing duplicate removal, pass 2
  454. Wed Mar 31 10:43:01 2021 found 0 duplicates and 209525114 unique relations
  455. Wed Mar 31 10:43:01 2021 memory use: 522.4 MB
  456. Wed Mar 31 10:43:01 2021 reading ideals above 188284928
  457. Wed Mar 31 10:43:01 2021 commencing singleton removal, initial pass
  458. Wed Mar 31 10:53:09 2021 memory use: 5512.0 MB
  459. Wed Mar 31 10:53:09 2021 reading all ideals from disk
  460. Wed Mar 31 10:53:10 2021 memory use: 3797.5 MB
  461. Wed Mar 31 10:53:13 2021 commencing in-memory singleton removal
  462. Wed Mar 31 10:53:16 2021 begin with 209525114 relations and 164253130 unique ideals
  463. Wed Mar 31 10:53:54 2021 reduce to 153365593 relations and 103600653 ideals in 13 passes
  464. Wed Mar 31 10:53:54 2021 max relations containing the same ideal: 46
  465. Wed Mar 31 10:53:59 2021 reading ideals above 720000
  466. Wed Mar 31 10:53:59 2021 commencing singleton removal, initial pass
  467. Wed Mar 31 11:03:40 2021 memory use: 3012.0 MB
  468. Wed Mar 31 11:03:40 2021 reading all ideals from disk
  469. Wed Mar 31 11:03:41 2021 memory use: 6378.6 MB
  470. Wed Mar 31 11:03:48 2021 keeping 123731332 ideals with weight <= 200, target excess is 798690
  471. Wed Mar 31 11:03:57 2021 commencing in-memory singleton removal
  472. Wed Mar 31 11:04:02 2021 begin with 153365593 relations and 123731332 unique ideals
  473. Wed Mar 31 11:04:38 2021 reduce to 153364216 relations and 123729955 ideals in 7 passes
  474. Wed Mar 31 11:04:38 2021 max relations containing the same ideal: 200
  475. Wed Mar 31 11:05:08 2021 removing 10280830 relations and 8280830 ideals in 2000000 cliques
  476. Wed Mar 31 11:05:12 2021 commencing in-memory singleton removal
  477. Wed Mar 31 11:05:16 2021 begin with 143083386 relations and 123729955 unique ideals
  478. Wed Mar 31 11:05:50 2021 reduce to 142520180 relations and 114876059 ideals in 7 passes
  479. Wed Mar 31 11:05:50 2021 max relations containing the same ideal: 198
  480. Wed Mar 31 11:06:17 2021 removing 7956975 relations and 5956975 ideals in 2000000 cliques
  481. Wed Mar 31 11:06:21 2021 commencing in-memory singleton removal
  482. Wed Mar 31 11:06:25 2021 begin with 134563205 relations and 114876059 unique ideals
  483. Wed Mar 31 11:07:01 2021 reduce to 134184020 relations and 108534231 ideals in 8 passes
  484. Wed Mar 31 11:07:01 2021 max relations containing the same ideal: 193
  485. Wed Mar 31 11:07:27 2021 removing 7262084 relations and 5262084 ideals in 2000000 cliques
  486. Wed Mar 31 11:07:30 2021 commencing in-memory singleton removal
  487. Wed Mar 31 11:07:34 2021 begin with 126921936 relations and 108534231 unique ideals
  488. Wed Mar 31 11:08:04 2021 reduce to 126585384 relations and 102930528 ideals in 7 passes
  489. Wed Mar 31 11:08:04 2021 max relations containing the same ideal: 188
  490. Wed Mar 31 11:08:29 2021 removing 6913986 relations and 4913986 ideals in 2000000 cliques
  491. Wed Mar 31 11:08:32 2021 commencing in-memory singleton removal
  492. Wed Mar 31 11:08:36 2021 begin with 119671398 relations and 102930528 unique ideals
  493. Wed Mar 31 11:09:04 2021 reduce to 119356066 relations and 97696428 ideals in 7 passes
  494. Wed Mar 31 11:09:04 2021 max relations containing the same ideal: 183
  495. Wed Mar 31 11:09:27 2021 removing 6708085 relations and 4708085 ideals in 2000000 cliques
  496. Wed Mar 31 11:09:30 2021 commencing in-memory singleton removal
  497. Wed Mar 31 11:09:34 2021 begin with 112647981 relations and 97696428 unique ideals
  498. Wed Mar 31 11:09:56 2021 reduce to 112337130 relations and 92672753 ideals in 6 passes
  499. Wed Mar 31 11:09:56 2021 max relations containing the same ideal: 176
  500. Wed Mar 31 11:10:19 2021 removing 6572469 relations and 4572469 ideals in 2000000 cliques
  501. Wed Mar 31 11:10:22 2021 commencing in-memory singleton removal
  502. Wed Mar 31 11:10:25 2021 begin with 105764661 relations and 92672753 unique ideals
  503. Wed Mar 31 11:10:50 2021 reduce to 105453551 relations and 87784044 ideals in 7 passes
  504. Wed Mar 31 11:10:50 2021 max relations containing the same ideal: 168
  505. Wed Mar 31 11:11:11 2021 removing 6488946 relations and 4488946 ideals in 2000000 cliques
  506. Wed Mar 31 11:11:14 2021 commencing in-memory singleton removal
  507. Wed Mar 31 11:11:17 2021 begin with 98964605 relations and 87784044 unique ideals
  508. Wed Mar 31 11:11:40 2021 reduce to 98648436 relations and 82973333 ideals in 7 passes
  509. Wed Mar 31 11:11:40 2021 max relations containing the same ideal: 158
  510. Wed Mar 31 11:12:00 2021 removing 6433168 relations and 4433168 ideals in 2000000 cliques
  511. Wed Mar 31 11:12:03 2021 commencing in-memory singleton removal
  512. Wed Mar 31 11:12:06 2021 begin with 92215268 relations and 82973333 unique ideals
  513. Wed Mar 31 11:12:27 2021 reduce to 91887689 relations and 78206550 ideals in 7 passes
  514. Wed Mar 31 11:12:27 2021 max relations containing the same ideal: 150
  515. Wed Mar 31 11:12:46 2021 removing 6408194 relations and 4408194 ideals in 2000000 cliques
  516. Wed Mar 31 11:12:49 2021 commencing in-memory singleton removal
  517. Wed Mar 31 11:12:51 2021 begin with 85479495 relations and 78206550 unique ideals
  518. Wed Mar 31 11:13:11 2021 reduce to 85135752 relations and 73447840 ideals in 7 passes
  519. Wed Mar 31 11:13:11 2021 max relations containing the same ideal: 145
  520. Wed Mar 31 11:13:29 2021 removing 6402683 relations and 4402683 ideals in 2000000 cliques
  521. Wed Mar 31 11:13:31 2021 commencing in-memory singleton removal
  522. Wed Mar 31 11:13:33 2021 begin with 78733069 relations and 73447840 unique ideals
  523. Wed Mar 31 11:13:51 2021 reduce to 78366118 relations and 68670701 ideals in 7 passes
  524. Wed Mar 31 11:13:51 2021 max relations containing the same ideal: 137
  525. Wed Mar 31 11:14:08 2021 removing 6414752 relations and 4414752 ideals in 2000000 cliques
  526. Wed Mar 31 11:14:10 2021 commencing in-memory singleton removal
  527. Wed Mar 31 11:14:12 2021 begin with 71951366 relations and 68670701 unique ideals
  528. Wed Mar 31 11:14:29 2021 reduce to 71555618 relations and 63851391 ideals in 7 passes
  529. Wed Mar 31 11:14:29 2021 max relations containing the same ideal: 128
  530. Wed Mar 31 11:14:44 2021 removing 6447116 relations and 4447116 ideals in 2000000 cliques
  531. Wed Mar 31 11:14:46 2021 commencing in-memory singleton removal
  532. Wed Mar 31 11:14:48 2021 begin with 65108502 relations and 63851391 unique ideals
  533. Wed Mar 31 11:15:03 2021 reduce to 64675105 relations and 58960510 ideals in 7 passes
  534. Wed Mar 31 11:15:03 2021 max relations containing the same ideal: 120
  535. Wed Mar 31 11:15:17 2021 removing 6487178 relations and 4487178 ideals in 2000000 cliques
  536. Wed Mar 31 11:15:19 2021 commencing in-memory singleton removal
  537. Wed Mar 31 11:15:21 2021 begin with 58187927 relations and 58960510 unique ideals
  538. Wed Mar 31 11:15:34 2021 reduce to 57704556 relations and 53977288 ideals in 7 passes
  539. Wed Mar 31 11:15:34 2021 max relations containing the same ideal: 111
  540. Wed Mar 31 11:15:47 2021 removing 6542094 relations and 4542094 ideals in 2000000 cliques
  541. Wed Mar 31 11:15:49 2021 commencing in-memory singleton removal
  542. Wed Mar 31 11:15:51 2021 begin with 51162462 relations and 53977288 unique ideals
  543. Wed Mar 31 11:16:02 2021 reduce to 50618985 relations and 48875611 ideals in 7 passes
  544. Wed Mar 31 11:16:02 2021 max relations containing the same ideal: 102
  545. Wed Mar 31 11:16:14 2021 removing 3219437 relations and 2402544 ideals in 816893 cliques
  546. Wed Mar 31 11:16:15 2021 commencing in-memory singleton removal
  547. Wed Mar 31 11:16:16 2021 begin with 47399548 relations and 48875611 unique ideals
  548. Wed Mar 31 11:16:27 2021 reduce to 47255428 relations and 46326988 ideals in 7 passes
  549. Wed Mar 31 11:16:27 2021 max relations containing the same ideal: 98
  550. Wed Mar 31 11:16:42 2021 relations with 0 large ideals: 55450
  551. Wed Mar 31 11:16:42 2021 relations with 1 large ideals: 6949
  552. Wed Mar 31 11:16:42 2021 relations with 2 large ideals: 85471
  553. Wed Mar 31 11:16:42 2021 relations with 3 large ideals: 647553
  554. Wed Mar 31 11:16:42 2021 relations with 4 large ideals: 2725104
  555. Wed Mar 31 11:16:42 2021 relations with 5 large ideals: 6950638
  556. Wed Mar 31 11:16:42 2021 relations with 6 large ideals: 11248061
  557. Wed Mar 31 11:16:42 2021 relations with 7+ large ideals: 25536202
  558. Wed Mar 31 11:16:42 2021 commencing 2-way merge
  559. Wed Mar 31 11:16:58 2021 reduce to 32489612 relation sets and 31561172 unique ideals
  560. Wed Mar 31 11:16:58 2021 commencing full merge
  561. Wed Mar 31 11:26:19 2021 memory use: 4552.0 MB
  562. Wed Mar 31 11:26:25 2021 found 14766471 cycles, need 14753372
  563. Wed Mar 31 11:26:25 2021 weight of 14753372 cycles is about 1770411082 (120.00/cycle)
  564. Wed Mar 31 11:26:25 2021 distribution of cycle lengths:
  565. Wed Mar 31 11:26:25 2021 1 relations: 702246
  566. Wed Mar 31 11:26:25 2021 2 relations: 897687
  567. Wed Mar 31 11:26:25 2021 3 relations: 1019977
  568. Wed Mar 31 11:26:25 2021 4 relations: 1049023
  569. Wed Mar 31 11:26:25 2021 5 relations: 1060798
  570. Wed Mar 31 11:26:25 2021 6 relations: 1050359
  571. Wed Mar 31 11:26:25 2021 7 relations: 1027224
  572. Wed Mar 31 11:26:25 2021 8 relations: 984705
  573. Wed Mar 31 11:26:25 2021 9 relations: 928100
  574. Wed Mar 31 11:26:25 2021 10+ relations: 6033253
  575. Wed Mar 31 11:26:25 2021 heaviest cycle: 28 relations
  576. Wed Mar 31 11:26:29 2021 commencing cycle optimization
  577. Wed Mar 31 11:26:50 2021 start with 132838080 relations
  578. Wed Mar 31 11:30:37 2021 pruned 6903066 relations
  579. Wed Mar 31 11:30:37 2021 memory use: 3337.2 MB
  580. Wed Mar 31 11:30:37 2021 distribution of cycle lengths:
  581. Wed Mar 31 11:30:37 2021 1 relations: 702246
  582. Wed Mar 31 11:30:37 2021 2 relations: 917861
  583. Wed Mar 31 11:30:37 2021 3 relations: 1062368
  584. Wed Mar 31 11:30:37 2021 4 relations: 1095358
  585. Wed Mar 31 11:30:37 2021 5 relations: 1120190
  586. Wed Mar 31 11:30:37 2021 6 relations: 1108209
  587. Wed Mar 31 11:30:37 2021 7 relations: 1090122
  588. Wed Mar 31 11:30:37 2021 8 relations: 1040194
  589. Wed Mar 31 11:30:37 2021 9 relations: 979968
  590. Wed Mar 31 11:30:37 2021 10+ relations: 5636856
  591. Wed Mar 31 11:30:37 2021 heaviest cycle: 28 relations
  592. Wed Mar 31 11:30:58 2021 RelProcTime: 3762
  593. Wed Mar 31 11:30:58 2021
  594. Wed Mar 31 11:30:58 2021 commencing linear algebra
  595. Wed Mar 31 11:30:59 2021 read 14753372 cycles
  596. Wed Mar 31 11:31:13 2021 cycles contain 46801905 unique relations
  597. Wed Mar 31 11:33:17 2021 read 46801905 relations
  598. Wed Mar 31 11:34:41 2021 using 20 quadratic characters above 4294917295
  599. Wed Mar 31 11:36:28 2021 building initial matrix
  600. Wed Mar 31 11:42:03 2021 memory use: 5907.0 MB
  601. Wed Mar 31 11:42:11 2021 read 14753372 cycles
  602. Wed Mar 31 11:42:13 2021 matrix is 14753195 x 14753372 (6847.3 MB) with weight 1934230819 (131.10/col)
  603. Wed Mar 31 11:42:13 2021 sparse part has weight 1647453365 (111.67/col)
  604. Wed Mar 31 11:43:51 2021 filtering completed in 2 passes
  605. Wed Mar 31 11:43:53 2021 matrix is 14753127 x 14753304 (6847.3 MB) with weight 1934228953 (131.10/col)
  606. Wed Mar 31 11:43:53 2021 sparse part has weight 1647452865 (111.67/col)
  607. Wed Mar 31 11:44:23 2021 matrix starts at (0, 0)
  608. Wed Mar 31 11:44:24 2021 matrix is 14753127 x 14753304 (6847.3 MB) with weight 1934228953 (131.10/col)
  609. Wed Mar 31 11:44:24 2021 sparse part has weight 1647452865 (111.67/col)
  610. Wed Mar 31 11:44:24 2021 saving the first 48 matrix rows for later
  611. Wed Mar 31 11:44:26 2021 matrix includes 64 packed rows
  612. Wed Mar 31 11:44:28 2021 matrix is 14753079 x 14753304 (6594.3 MB) with weight 1676162814 (113.61/col)
  613. Wed Mar 31 11:44:28 2021 sparse part has weight 1581118486 (107.17/col)
  614. Wed Mar 31 11:44:28 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  615. Wed Mar 31 11:45:04 2021 commencing Lanczos iteration (8 threads)
  616. Wed Mar 31 11:45:04 2021 memory use: 6379.4 MB
  617. Wed Mar 31 11:45:36 2021 linear algebra at 0.0%, ETA 83h44m
  618. Wed Mar 31 11:45:46 2021 checkpointing every 180000 dimensions
  619. Wed Mar 31 14:09:47 2021
  620. Wed Mar 31 14:09:47 2021
  621. Wed Mar 31 14:09:47 2021 Msieve v. 1.54 (SVN 1040M)
  622. Wed Mar 31 14:09:47 2021 random seeds: 07a7080b 75d3f722
  623. Wed Mar 31 14:09:47 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  624. Wed Mar 31 14:09:47 2021 searching for 15-digit factors
  625. Wed Mar 31 14:09:48 2021 commencing number field sieve (198-digit input)
  626. Wed Mar 31 14:09:48 2021 R0: 78552421161120377019256071809393240624866690
  627. Wed Mar 31 14:09:48 2021 R1: -242567514087541147634431480398346066867647
  628. Wed Mar 31 14:09:48 2021 A0: -1
  629. Wed Mar 31 14:09:48 2021 A1: 3
  630. Wed Mar 31 14:09:48 2021 A2: 6
  631. Wed Mar 31 14:09:48 2021 A3: -4
  632. Wed Mar 31 14:09:48 2021 A4: -5
  633. Wed Mar 31 14:09:48 2021 A5: 1
  634. Wed Mar 31 14:09:48 2021 A6: 1
  635. Wed Mar 31 14:09:48 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  636. Wed Mar 31 14:09:48 2021
  637. Wed Mar 31 14:09:48 2021 commencing linear algebra
  638. Wed Mar 31 14:09:50 2021 matrix starts at (0, 0)
  639. Wed Mar 31 14:09:52 2021 matrix is 14753127 x 14753304 (6847.3 MB) with weight 1934228953 (131.10/col)
  640. Wed Mar 31 14:09:52 2021 sparse part has weight 1647452865 (111.67/col)
  641. Wed Mar 31 14:09:52 2021 saving the first 48 matrix rows for later
  642. Wed Mar 31 14:09:54 2021 matrix includes 64 packed rows
  643. Wed Mar 31 14:09:55 2021 matrix is 14753079 x 14753304 (6594.3 MB) with weight 1676162814 (113.61/col)
  644. Wed Mar 31 14:09:55 2021 sparse part has weight 1581118486 (107.17/col)
  645. Wed Mar 31 14:09:55 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  646. Wed Mar 31 14:10:31 2021 commencing Lanczos iteration (8 threads)
  647. Wed Mar 31 14:10:31 2021 memory use: 6379.4 MB
  648. Wed Mar 31 14:10:31 2021 restarting at iteration 2848 (dim = 180051)
  649. Wed Mar 31 14:11:02 2021 linear algebra at 1.2%, ETA 82h42m
  650. Wed Mar 31 14:11:11 2021 checkpointing every 180000 dimensions
  651. Thu Apr 1 22:04:11 2021
  652. Thu Apr 1 22:04:11 2021
  653. Thu Apr 1 22:04:11 2021 Msieve v. 1.54 (SVN 1040M)
  654. Thu Apr 1 22:04:11 2021 random seeds: e0cec407 0c193b4a
  655. Thu Apr 1 22:04:11 2021 factoring 381289532033541349539185616555580164635411322133717805364296262828086679005783958617718740760072628651027433992167907690793231135478369566123200578983141038404336782533188807485087673190001780723011 (198 digits)
  656. Thu Apr 1 22:04:11 2021 searching for 15-digit factors
  657. Thu Apr 1 22:04:11 2021 commencing number field sieve (198-digit input)
  658. Thu Apr 1 22:04:11 2021 R0: 78552421161120377019256071809393240624866690
  659. Thu Apr 1 22:04:11 2021 R1: -242567514087541147634431480398346066867647
  660. Thu Apr 1 22:04:11 2021 A0: -1
  661. Thu Apr 1 22:04:11 2021 A1: 3
  662. Thu Apr 1 22:04:11 2021 A2: 6
  663. Thu Apr 1 22:04:11 2021 A3: -4
  664. Thu Apr 1 22:04:11 2021 A4: -5
  665. Thu Apr 1 22:04:11 2021 A5: 1
  666. Thu Apr 1 22:04:11 2021 A6: 1
  667. Thu Apr 1 22:04:11 2021 skew 1.00, size 6.474e-13, alpha 3.126, combined = 8.108e-14 rroots = 6
  668. Thu Apr 1 22:04:11 2021
  669. Thu Apr 1 22:04:11 2021 commencing linear algebra
  670. Thu Apr 1 22:06:45 2021 matrix starts at (0, 0)
  671. Thu Apr 1 22:06:46 2021 matrix is 14753127 x 14753304 (6847.3 MB) with weight 1934228953 (131.10/col)
  672. Thu Apr 1 22:06:46 2021 sparse part has weight 1647452865 (111.67/col)
  673. Thu Apr 1 22:06:46 2021 saving the first 48 matrix rows for later
  674. Thu Apr 1 22:06:48 2021 matrix includes 64 packed rows
  675. Thu Apr 1 22:06:49 2021 matrix is 14753079 x 14753304 (6594.3 MB) with weight 1676162814 (113.61/col)
  676. Thu Apr 1 22:06:49 2021 sparse part has weight 1581118486 (107.17/col)
  677. Thu Apr 1 22:06:49 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  678. Thu Apr 1 22:07:39 2021 commencing Lanczos iteration (16 threads)
  679. Thu Apr 1 22:07:39 2021 memory use: 6379.6 MB
  680. Thu Apr 1 22:07:53 2021 restarting at iteration 59775 (dim = 3780060)
  681. Thu Apr 1 22:08:10 2021 linear algebra at 25.6%, ETA 34h15m
  682. Thu Apr 1 22:08:16 2021 checkpointing every 310000 dimensions
  683. Sat Apr 3 09:39:28 2021 lanczos halted after 233307 iterations (dim = 14753077)
  684. Sat Apr 3 09:39:38 2021 recovered 34 nontrivial dependencies
  685. Sat Apr 3 09:39:44 2021 BLanczosTime: 128133
  686. Sat Apr 3 09:39:44 2021
  687. Sat Apr 3 09:39:44 2021 commencing square root phase
  688. Sat Apr 3 09:39:44 2021 reading relations for dependency 1
  689. Sat Apr 3 09:39:57 2021 read 7379008 cycles
  690. Sat Apr 3 09:40:11 2021 cycles contain 23406482 unique relations
  691. Sat Apr 3 09:49:18 2021 read 23406482 relations
  692. Sat Apr 3 09:50:50 2021 multiplying 23406482 relations
  693. Sat Apr 3 10:03:10 2021 multiply complete, coefficients have about 613.51 million bits
  694. Sat Apr 3 10:03:12 2021 initial square root is modulo 319313
  695. Sat Apr 3 10:15:38 2021 GCD is 1, no factor found
  696. Sat Apr 3 10:15:38 2021 reading relations for dependency 2
  697. Sat Apr 3 10:15:53 2021 read 7375000 cycles
  698. Sat Apr 3 10:16:08 2021 cycles contain 23398278 unique relations
  699. Sat Apr 3 10:25:15 2021 read 23398278 relations
  700. Sat Apr 3 10:26:48 2021 multiplying 23398278 relations
  701. Sat Apr 3 10:39:13 2021 multiply complete, coefficients have about 613.29 million bits
  702. Sat Apr 3 10:39:15 2021 initial square root is modulo 317839
  703. Sat Apr 3 10:51:40 2021 sqrtTime: 4316
  704. Sat Apr 3 10:51:40 2021 p69 factor: 135223516103616176320374158278958681368396873920312069963293467041443
  705. Sat Apr 3 10:51:40 2021 p130 factor: 2819698400249960834686540240049557406534003960089199969960355391502110342098828222958135191112668988577713278220984761288633393377
  706. Sat Apr 3 10:51:40 2021 elapsed time 36:47:29
  707.  
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