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10313_67m1

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Oct 14th, 2020
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  1. Wed Oct 7 15:57:16 2020
  2. Wed Oct 7 15:57:16 2020
  3. Wed Oct 7 15:57:16 2020 Msieve v. 1.53 (SVN 988M)
  4. Wed Oct 7 15:57:16 2020 random seeds: 959b3930 fdbb6100
  5. Wed Oct 7 15:57:16 2020 factoring 7646334358138256683592003373281346843217334371639428099755846266349546259144876154121249421832724629824512210176530020031955938882027815204573740302284638085774829235729227444913075339885021168152394454140112775592754719449243182766643697468773334939811456900260443 (265 digits)
  6. Wed Oct 7 15:57:17 2020 searching for 15-digit factors
  7. Wed Oct 7 15:57:19 2020 commencing number field sieve (265-digit input)
  8. Wed Oct 7 15:57:19 2020 R0: 140357361398821474314752901054813874328235737
  9. Wed Oct 7 15:57:19 2020 R1: -1
  10. Wed Oct 7 15:57:19 2020 A0: -1
  11. Wed Oct 7 15:57:19 2020 A1: 0
  12. Wed Oct 7 15:57:19 2020 A2: 0
  13. Wed Oct 7 15:57:19 2020 A3: 0
  14. Wed Oct 7 15:57:19 2020 A4: 0
  15. Wed Oct 7 15:57:19 2020 A5: 0
  16. Wed Oct 7 15:57:19 2020 A6: 10313
  17. Wed Oct 7 15:57:19 2020 skew 0.21, size 1.568e-13, alpha 1.330, combined = 2.978e-14 rroots = 2
  18. Wed Oct 7 15:57:19 2020
  19. Wed Oct 7 15:57:19 2020 commencing relation filtering
  20. Wed Oct 7 15:57:19 2020 setting target matrix density to 120.0
  21. Wed Oct 7 15:57:19 2020 estimated available RAM is 32768.0 MB
  22. Wed Oct 7 15:57:19 2020 commencing duplicate removal, pass 1
  23. Wed Oct 7 15:57:28 2020 error -15 reading relation 1184088
  24. Wed Oct 7 15:57:28 2020 error -1 reading relation 1184124
  25. Wed Oct 7 15:57:28 2020 error -11 reading relation 1184209
  26. Wed Oct 7 15:57:28 2020 error -1 reading relation 1184358
  27. Wed Oct 7 15:57:28 2020 error -11 reading relation 1184395
  28. Wed Oct 7 15:57:28 2020 error -11 reading relation 1184530
  29. Wed Oct 7 15:57:28 2020 error -11 reading relation 1184739
  30. Wed Oct 7 15:57:28 2020 error -15 reading relation 1188948
  31. Wed Oct 7 15:57:28 2020 error -11 reading relation 1189360
  32. Wed Oct 7 15:57:28 2020 error -11 reading relation 1189395
  33. Wed Oct 7 15:57:28 2020 error -1 reading relation 1189433
  34. Wed Oct 7 15:57:28 2020 error -1 reading relation 1189584
  35. Wed Oct 7 15:57:28 2020 error -15 reading relation 1189784
  36. Wed Oct 7 15:57:28 2020 error -11 reading relation 1190368
  37. Wed Oct 7 15:57:28 2020 error -15 reading relation 1191366
  38. Wed Oct 7 15:57:28 2020 error -11 reading relation 1191403
  39. Wed Oct 7 15:57:28 2020 error -11 reading relation 1191570
  40. Wed Oct 7 15:57:28 2020 error -11 reading relation 1191934
  41. Wed Oct 7 15:57:29 2020 error -15 reading relation 1192469
  42. Wed Oct 7 15:57:29 2020 error -1 reading relation 1192543
  43. Wed Oct 7 15:57:29 2020 error -11 reading relation 1192730
  44. Wed Oct 7 15:57:29 2020 error -11 reading relation 1193034
  45. Wed Oct 7 15:57:29 2020 error -11 reading relation 1193316
  46. Wed Oct 7 15:57:29 2020 error -11 reading relation 1207256
  47. Wed Oct 7 15:57:29 2020 error -1 reading relation 1207347
  48. Wed Oct 7 15:57:29 2020 error -15 reading relation 1207644
  49. Wed Oct 7 15:57:29 2020 error -11 reading relation 1207680
  50. Wed Oct 7 15:57:29 2020 error -15 reading relation 1207853
  51. Wed Oct 7 15:57:29 2020 error -11 reading relation 1208157
  52. Wed Oct 7 15:57:29 2020 error -1 reading relation 1209029
  53. Wed Oct 7 15:57:29 2020 error -11 reading relation 1209206
  54. Wed Oct 7 15:57:29 2020 error -15 reading relation 1209438
  55. Wed Oct 7 15:57:29 2020 error -1 reading relation 1209555
  56. Wed Oct 7 15:57:29 2020 error -15 reading relation 1209664
  57. Wed Oct 7 15:57:29 2020 error -11 reading relation 1209710
  58. Wed Oct 7 15:57:29 2020 error -11 reading relation 1209854
  59. Wed Oct 7 15:57:29 2020 error -11 reading relation 1209993
  60. Wed Oct 7 15:57:29 2020 error -15 reading relation 1210426
  61. Wed Oct 7 15:57:29 2020 error -11 reading relation 1210608
  62. Wed Oct 7 15:57:29 2020 error -11 reading relation 1210715
  63. Wed Oct 7 15:57:29 2020 error -15 reading relation 1211012
  64. Wed Oct 7 15:57:29 2020 error -11 reading relation 1211449
  65. Wed Oct 7 15:57:29 2020 error -11 reading relation 1211615
  66. Wed Oct 7 15:57:29 2020 error -11 reading relation 1211650
  67. Wed Oct 7 15:57:29 2020 error -1 reading relation 1211651
  68. Wed Oct 7 15:57:34 2020 error -15 reading relation 1946324
  69. Wed Oct 7 15:57:34 2020 error -11 reading relation 1946830
  70. Wed Oct 7 15:57:34 2020 error -11 reading relation 1947316
  71. Wed Oct 7 15:57:34 2020 error -15 reading relation 1947537
  72. Wed Oct 7 15:57:34 2020 error -11 reading relation 1947687
  73. Wed Oct 7 15:57:34 2020 error -11 reading relation 1947883
  74. Wed Oct 7 15:57:34 2020 error -1 reading relation 1947972
  75. Wed Oct 7 15:57:34 2020 error -15 reading relation 1948406
  76. Wed Oct 7 15:57:34 2020 error -15 reading relation 1948442
  77. Wed Oct 7 15:57:34 2020 error -15 reading relation 1948622
  78. Wed Oct 7 15:57:34 2020 error -15 reading relation 1948769
  79. Wed Oct 7 15:57:34 2020 error -11 reading relation 1948840
  80. Wed Oct 7 15:57:34 2020 error -11 reading relation 1948878
  81. Wed Oct 7 15:57:34 2020 error -11 reading relation 1949052
  82. Wed Oct 7 15:57:34 2020 error -1 reading relation 1949531
  83. Wed Oct 7 15:57:34 2020 error -15 reading relation 1949830
  84. Wed Oct 7 15:57:34 2020 error -1 reading relation 1949929
  85. Wed Oct 7 15:57:34 2020 error -1 reading relation 1950036
  86. Wed Oct 7 15:57:34 2020 error -6 reading relation 1950238
  87. Wed Oct 7 15:57:34 2020 error -15 reading relation 1950413
  88. Wed Oct 7 15:57:34 2020 error -11 reading relation 1950607
  89. Wed Oct 7 15:57:34 2020 error -15 reading relation 1950701
  90. Wed Oct 7 15:57:34 2020 error -11 reading relation 1950773
  91. Wed Oct 7 15:57:34 2020 error -1 reading relation 1950811
  92. Wed Oct 7 15:57:34 2020 error -11 reading relation 1951051
  93. Wed Oct 7 15:57:34 2020 error -15 reading relation 1951423
  94. Wed Oct 7 15:57:34 2020 error -11 reading relation 1951527
  95. Wed Oct 7 15:57:34 2020 error -15 reading relation 1951734
  96. Wed Oct 7 15:57:34 2020 error -11 reading relation 1951907
  97. Wed Oct 7 15:57:34 2020 error -15 reading relation 1952097
  98. Wed Oct 7 15:57:34 2020 error -11 reading relation 1952233
  99. Wed Oct 7 15:57:34 2020 error -11 reading relation 1952413
  100. Wed Oct 7 15:57:34 2020 error -15 reading relation 1952448
  101. Wed Oct 7 15:57:34 2020 error -11 reading relation 1952582
  102. Wed Oct 7 15:57:34 2020 error -15 reading relation 1952684
  103. Wed Oct 7 15:57:34 2020 error -11 reading relation 1953034
  104. Wed Oct 7 15:57:34 2020 error -11 reading relation 1953104
  105. Wed Oct 7 15:57:34 2020 error -11 reading relation 1953151
  106. Wed Oct 7 15:57:34 2020 error -11 reading relation 1953463
  107. Wed Oct 7 15:57:34 2020 error -11 reading relation 1953638
  108. Wed Oct 7 15:57:34 2020 error -1 reading relation 1953906
  109. Wed Oct 7 15:57:34 2020 error -11 reading relation 1954035
  110. Wed Oct 7 16:09:09 2020 error -1 reading relation 110002256
  111. Wed Oct 7 16:14:38 2020 error -1 reading relation 162453268
  112. Wed Oct 7 16:14:38 2020 error -1 reading relation 162453269
  113. Wed Oct 7 16:15:30 2020 error -6 reading relation 170623026
  114. Wed Oct 7 16:15:52 2020 error -5 reading relation 174092837
  115. Wed Oct 7 16:16:35 2020 error -15 reading relation 180734213
  116. Wed Oct 7 16:17:53 2020 error -15 reading relation 192886424
  117. Wed Oct 7 16:17:53 2020 error -9 reading relation 192886656
  118. Wed Oct 7 16:17:53 2020 error -15 reading relation 192886686
  119. Wed Oct 7 16:17:53 2020 error -11 reading relation 192886875
  120. Wed Oct 7 16:17:53 2020 error -15 reading relation 192886948
  121. Wed Oct 7 16:17:53 2020 error -1 reading relation 192887124
  122. Wed Oct 7 16:17:53 2020 error -6 reading relation 192887329
  123. Wed Oct 7 16:17:53 2020 error -1 reading relation 192887531
  124. Wed Oct 7 16:17:53 2020 error -11 reading relation 192887702
  125. Wed Oct 7 16:17:53 2020 error -1 reading relation 192887853
  126. Wed Oct 7 16:17:53 2020 error -15 reading relation 192887918
  127. Wed Oct 7 16:17:53 2020 error -11 reading relation 192888063
  128. Wed Oct 7 16:17:53 2020 error -11 reading relation 192888420
  129. Wed Oct 7 16:17:53 2020 error -15 reading relation 192888592
  130. Wed Oct 7 16:17:53 2020 error -1 reading relation 192888929
  131. Wed Oct 7 16:17:53 2020 error -11 reading relation 192889029
  132. Wed Oct 7 16:18:38 2020 error -11 reading relation 199974642
  133. Wed Oct 7 16:18:38 2020 error -11 reading relation 199974667
  134. Wed Oct 7 16:19:33 2020 error -1 reading relation 208674452
  135. Wed Oct 7 16:23:15 2020 error -1 reading relation 243452650
  136. Wed Oct 7 16:23:15 2020 error -11 reading relation 243452898
  137. Wed Oct 7 16:23:15 2020 error -15 reading relation 243452948
  138. Wed Oct 7 16:23:15 2020 error -11 reading relation 243452974
  139. Wed Oct 7 16:23:15 2020 error -11 reading relation 243453025
  140. Wed Oct 7 16:23:15 2020 error -1 reading relation 243453245
  141. Wed Oct 7 16:23:15 2020 error -1 reading relation 243453513
  142. Wed Oct 7 16:23:15 2020 error -15 reading relation 243453563
  143. Wed Oct 7 16:23:15 2020 error -15 reading relation 243454153
  144. Wed Oct 7 16:23:15 2020 error -11 reading relation 243454486
  145. Wed Oct 7 16:23:15 2020 error -11 reading relation 243454809
  146. Wed Oct 7 16:23:15 2020 error -15 reading relation 243454931
  147. Wed Oct 7 16:23:15 2020 error -1 reading relation 243455959
  148. Wed Oct 7 16:23:15 2020 error -11 reading relation 243456048
  149. Wed Oct 7 16:23:15 2020 error -15 reading relation 243456195
  150. Wed Oct 7 16:23:15 2020 error -15 reading relation 243456359
  151. Wed Oct 7 16:23:15 2020 error -11 reading relation 243456432
  152. Wed Oct 7 16:23:15 2020 error -11 reading relation 243456508
  153. Wed Oct 7 16:25:20 2020 error -11 reading relation 263468442
  154. Wed Oct 7 16:25:20 2020 error -11 reading relation 263469194
  155. Wed Oct 7 16:25:20 2020 error -1 reading relation 263469333
  156. Wed Oct 7 16:25:20 2020 error -9 reading relation 263469480
  157. Wed Oct 7 16:25:20 2020 error -11 reading relation 263469556
  158. Wed Oct 7 16:25:20 2020 error -1 reading relation 263469614
  159. Wed Oct 7 16:25:20 2020 error -15 reading relation 263469771
  160. Wed Oct 7 16:25:20 2020 error -15 reading relation 263470155
  161. Wed Oct 7 16:25:20 2020 error -15 reading relation 263470233
  162. Wed Oct 7 16:25:20 2020 error -1 reading relation 263470527
  163. Wed Oct 7 16:25:20 2020 error -11 reading relation 263470669
  164. Wed Oct 7 16:25:20 2020 error -11 reading relation 263470774
  165. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471029
  166. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471098
  167. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471127
  168. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471128
  169. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471307
  170. Wed Oct 7 16:25:20 2020 error -11 reading relation 263471483
  171. Wed Oct 7 16:25:20 2020 error -15 reading relation 263471589
  172. Wed Oct 7 16:25:20 2020 error -11 reading relation 263472008
  173. Wed Oct 7 16:25:20 2020 error -11 reading relation 263472075
  174. Wed Oct 7 16:25:20 2020 error -6 reading relation 263472349
  175. Wed Oct 7 16:25:48 2020 error -1 reading relation 267806209
  176. Wed Oct 7 16:25:48 2020 error -11 reading relation 267806514
  177. Wed Oct 7 16:25:48 2020 error -15 reading relation 267806827
  178. Wed Oct 7 16:25:48 2020 error -11 reading relation 267807784
  179. Wed Oct 7 16:25:48 2020 error -11 reading relation 267807859
  180. Wed Oct 7 16:25:48 2020 error -1 reading relation 267808047
  181. Wed Oct 7 16:25:48 2020 error -15 reading relation 267808111
  182. Wed Oct 7 16:25:48 2020 error -9 reading relation 267808176
  183. Wed Oct 7 16:25:48 2020 error -6 reading relation 267808426
  184. Wed Oct 7 16:25:48 2020 error -1 reading relation 267808427
  185. Wed Oct 7 16:25:48 2020 error -1 reading relation 267808450
  186. Wed Oct 7 16:28:33 2020 error -15 reading relation 294091307
  187. Wed Oct 7 16:34:36 2020 error -11 reading relation 351470582
  188. Wed Oct 7 16:34:36 2020 error -11 reading relation 351470665
  189. Wed Oct 7 16:34:36 2020 error -11 reading relation 351471120
  190. Wed Oct 7 16:34:36 2020 error -11 reading relation 351471306
  191. Wed Oct 7 16:34:36 2020 error -11 reading relation 351471360
  192. Wed Oct 7 16:34:52 2020 error -1 reading relation 354059052
  193. Wed Oct 7 16:34:52 2020 error -11 reading relation 354059155
  194. Wed Oct 7 16:34:52 2020 error -11 reading relation 354059157
  195. Wed Oct 7 16:34:52 2020 error -11 reading relation 354059503
  196. Wed Oct 7 16:34:52 2020 error -11 reading relation 354059890
  197. Wed Oct 7 16:34:52 2020 error -11 reading relation 354059953
  198. Wed Oct 7 16:34:52 2020 error -15 reading relation 354060207
  199. Wed Oct 7 16:34:52 2020 error -11 reading relation 354060267
  200. Wed Oct 7 16:34:52 2020 error -9 reading relation 354060503
  201. Wed Oct 7 16:34:52 2020 error -1 reading relation 354060657
  202. Wed Oct 7 16:34:52 2020 error -1 reading relation 354060740
  203. Wed Oct 7 16:34:52 2020 error -11 reading relation 354060827
  204. Wed Oct 7 16:34:52 2020 error -11 reading relation 354060855
  205. Wed Oct 7 16:34:52 2020 error -11 reading relation 354060858
  206. Wed Oct 7 16:34:52 2020 error -11 reading relation 354060935
  207. Wed Oct 7 16:34:52 2020 error -1 reading relation 354060964
  208. Wed Oct 7 16:34:52 2020 error -11 reading relation 354061028
  209. Wed Oct 7 16:34:52 2020 error -6 reading relation 354061154
  210. Wed Oct 7 16:34:52 2020 error -11 reading relation 354061369
  211. Wed Oct 7 16:34:52 2020 error -11 reading relation 354061565
  212. Wed Oct 7 16:34:52 2020 error -1 reading relation 354061851
  213. Wed Oct 7 16:34:52 2020 error -11 reading relation 354062009
  214. Wed Oct 7 16:34:52 2020 error -11 reading relation 354062181
  215. Wed Oct 7 16:34:53 2020 error -11 reading relation 354139623
  216. Wed Oct 7 16:34:53 2020 error -1 reading relation 354139727
  217. Wed Oct 7 16:34:53 2020 error -11 reading relation 354139926
  218. Wed Oct 7 16:34:53 2020 error -1 reading relation 354140177
  219. Wed Oct 7 16:34:53 2020 error -11 reading relation 354140226
  220. Wed Oct 7 16:34:53 2020 error -11 reading relation 354140290
  221. Wed Oct 7 16:34:53 2020 error -1 reading relation 354140873
  222. Wed Oct 7 16:34:53 2020 error -11 reading relation 354141544
  223. Wed Oct 7 16:34:53 2020 error -11 reading relation 354141579
  224. Wed Oct 7 16:34:53 2020 error -1 reading relation 354142006
  225. Wed Oct 7 16:34:53 2020 error -1 reading relation 354142196
  226. Wed Oct 7 16:34:53 2020 error -11 reading relation 354185040
  227. Wed Oct 7 16:34:53 2020 error -11 reading relation 354185211
  228. Wed Oct 7 16:34:53 2020 error -15 reading relation 354185294
  229. Wed Oct 7 16:34:53 2020 error -15 reading relation 354185492
  230. Wed Oct 7 16:34:53 2020 error -11 reading relation 354185637
  231. Wed Oct 7 16:34:53 2020 error -15 reading relation 354185717
  232. Wed Oct 7 16:34:53 2020 error -11 reading relation 354186292
  233. Wed Oct 7 16:34:53 2020 error -15 reading relation 354186769
  234. Wed Oct 7 16:34:53 2020 error -11 reading relation 354186860
  235. Wed Oct 7 16:34:53 2020 error -6 reading relation 354187064
  236. Wed Oct 7 16:34:53 2020 error -1 reading relation 354187113
  237. Wed Oct 7 16:34:53 2020 error -15 reading relation 354187179
  238. Wed Oct 7 16:34:53 2020 error -11 reading relation 354187953
  239. Wed Oct 7 16:34:53 2020 error -11 reading relation 354188143
  240. Wed Oct 7 16:34:54 2020 error -1 reading relation 354265437
  241. Wed Oct 7 16:37:05 2020 skipped 35779 relations with b > 2^32
  242. Wed Oct 7 16:37:05 2020 skipped 93 relations with composite factors
  243. Wed Oct 7 16:37:05 2020 found 29250770 hash collisions in 375054214 relations
  244. Wed Oct 7 16:37:18 2020 added 1217130 free relations
  245. Wed Oct 7 16:37:19 2020 commencing duplicate removal, pass 2
  246. Wed Oct 7 16:53:47 2020 found 0 duplicates and 376271344 unique relations
  247. Wed Oct 7 16:53:47 2020 memory use: 1321.5 MB
  248. Wed Oct 7 16:53:47 2020 reading ideals above 299958272
  249. Wed Oct 7 16:53:47 2020 commencing singleton removal, initial pass
  250. Wed Oct 7 17:22:37 2020 memory use: 6024.0 MB
  251. Wed Oct 7 17:22:38 2020 reading all ideals from disk
  252. Wed Oct 7 17:25:18 2020 memory use: 6761.6 MB
  253. Wed Oct 7 17:25:32 2020 commencing in-memory singleton removal
  254. Wed Oct 7 17:25:46 2020 begin with 376271344 relations and 315694113 unique ideals
  255. Wed Oct 7 17:29:05 2020 reduce to 252779030 relations and 180539709 ideals in 16 passes
  256. Wed Oct 7 17:29:05 2020 max relations containing the same ideal: 46
  257. Wed Oct 7 17:29:35 2020 reading ideals above 720000
  258. Wed Oct 7 17:29:36 2020 commencing singleton removal, initial pass
  259. Wed Oct 7 17:57:48 2020 memory use: 5512.0 MB
  260. Wed Oct 7 17:57:48 2020 reading all ideals from disk
  261. Wed Oct 7 18:02:03 2020 memory use: 10771.3 MB
  262. Wed Oct 7 18:02:33 2020 keeping 211729459 ideals with weight <= 200, target excess is 1296477
  263. Wed Oct 7 18:03:01 2020 commencing in-memory singleton removal
  264. Wed Oct 7 18:03:21 2020 begin with 252779030 relations and 211729459 unique ideals
  265. Wed Oct 7 18:06:11 2020 reduce to 252776241 relations and 211726670 ideals in 8 passes
  266. Wed Oct 7 18:06:11 2020 max relations containing the same ideal: 200
  267. Wed Oct 7 18:07:53 2020 removing 13372964 relations and 11372964 ideals in 2000000 cliques
  268. Wed Oct 7 18:07:58 2020 commencing in-memory singleton removal
  269. Wed Oct 7 18:08:16 2020 begin with 239403277 relations and 211726670 unique ideals
  270. Wed Oct 7 18:10:58 2020 reduce to 238842276 relations and 199786396 ideals in 8 passes
  271. Wed Oct 7 18:10:58 2020 max relations containing the same ideal: 199
  272. Wed Oct 7 18:12:34 2020 removing 10134468 relations and 8134468 ideals in 2000000 cliques
  273. Wed Oct 7 18:12:39 2020 commencing in-memory singleton removal
  274. Wed Oct 7 18:12:57 2020 begin with 228707808 relations and 199786396 unique ideals
  275. Wed Oct 7 18:15:12 2020 reduce to 228348422 relations and 191289314 ideals in 7 passes
  276. Wed Oct 7 18:15:12 2020 max relations containing the same ideal: 196
  277. Wed Oct 7 18:16:46 2020 removing 9129373 relations and 7129373 ideals in 2000000 cliques
  278. Wed Oct 7 18:16:51 2020 commencing in-memory singleton removal
  279. Wed Oct 7 18:17:08 2020 begin with 219219049 relations and 191289314 unique ideals
  280. Wed Oct 7 18:19:17 2020 reduce to 218908771 relations and 183846967 ideals in 7 passes
  281. Wed Oct 7 18:19:17 2020 max relations containing the same ideal: 192
  282. Wed Oct 7 18:20:47 2020 removing 8583212 relations and 6583212 ideals in 2000000 cliques
  283. Wed Oct 7 18:20:51 2020 commencing in-memory singleton removal
  284. Wed Oct 7 18:21:07 2020 begin with 210325559 relations and 183846967 unique ideals
  285. Wed Oct 7 18:23:11 2020 reduce to 210038912 relations and 176974602 ideals in 7 passes
  286. Wed Oct 7 18:23:11 2020 max relations containing the same ideal: 187
  287. Wed Oct 7 18:24:40 2020 removing 8231431 relations and 6231431 ideals in 2000000 cliques
  288. Wed Oct 7 18:24:44 2020 commencing in-memory singleton removal
  289. Wed Oct 7 18:24:59 2020 begin with 201807481 relations and 176974602 unique ideals
  290. Wed Oct 7 18:26:57 2020 reduce to 201533030 relations and 170466244 ideals in 7 passes
  291. Wed Oct 7 18:26:57 2020 max relations containing the same ideal: 186
  292. Wed Oct 7 18:28:20 2020 removing 7982544 relations and 5982544 ideals in 2000000 cliques
  293. Wed Oct 7 18:28:24 2020 commencing in-memory singleton removal
  294. Wed Oct 7 18:28:39 2020 begin with 193550486 relations and 170466244 unique ideals
  295. Wed Oct 7 18:30:31 2020 reduce to 193282414 relations and 164213156 ideals in 7 passes
  296. Wed Oct 7 18:30:31 2020 max relations containing the same ideal: 182
  297. Wed Oct 7 18:31:52 2020 removing 7809837 relations and 5809837 ideals in 2000000 cliques
  298. Wed Oct 7 18:31:56 2020 commencing in-memory singleton removal
  299. Wed Oct 7 18:32:10 2020 begin with 185472577 relations and 164213156 unique ideals
  300. Wed Oct 7 18:34:12 2020 reduce to 185207256 relations and 158135493 ideals in 8 passes
  301. Wed Oct 7 18:34:12 2020 max relations containing the same ideal: 176
  302. Wed Oct 7 18:35:30 2020 removing 7686394 relations and 5686394 ideals in 2000000 cliques
  303. Wed Oct 7 18:35:33 2020 commencing in-memory singleton removal
  304. Wed Oct 7 18:35:47 2020 begin with 177520862 relations and 158135493 unique ideals
  305. Wed Oct 7 18:37:29 2020 reduce to 177253973 relations and 152179573 ideals in 7 passes
  306. Wed Oct 7 18:37:29 2020 max relations containing the same ideal: 170
  307. Wed Oct 7 18:38:43 2020 removing 7590510 relations and 5590510 ideals in 2000000 cliques
  308. Wed Oct 7 18:38:46 2020 commencing in-memory singleton removal
  309. Wed Oct 7 18:38:59 2020 begin with 169663463 relations and 152179573 unique ideals
  310. Wed Oct 7 18:40:50 2020 reduce to 169393236 relations and 146316055 ideals in 8 passes
  311. Wed Oct 7 18:40:50 2020 max relations containing the same ideal: 165
  312. Wed Oct 7 18:42:01 2020 removing 7527153 relations and 5527153 ideals in 2000000 cliques
  313. Wed Oct 7 18:42:05 2020 commencing in-memory singleton removal
  314. Wed Oct 7 18:42:17 2020 begin with 161866083 relations and 146316055 unique ideals
  315. Wed Oct 7 18:43:49 2020 reduce to 161591487 relations and 140511422 ideals in 7 passes
  316. Wed Oct 7 18:43:49 2020 max relations containing the same ideal: 162
  317. Wed Oct 7 18:44:57 2020 removing 7479456 relations and 5479456 ideals in 2000000 cliques
  318. Wed Oct 7 18:45:00 2020 commencing in-memory singleton removal
  319. Wed Oct 7 18:45:12 2020 begin with 154112031 relations and 140511422 unique ideals
  320. Wed Oct 7 18:46:39 2020 reduce to 153826580 relations and 134743370 ideals in 7 passes
  321. Wed Oct 7 18:46:39 2020 max relations containing the same ideal: 155
  322. Wed Oct 7 18:47:43 2020 removing 7458002 relations and 5458002 ideals in 2000000 cliques
  323. Wed Oct 7 18:47:46 2020 commencing in-memory singleton removal
  324. Wed Oct 7 18:47:57 2020 begin with 146368578 relations and 134743370 unique ideals
  325. Wed Oct 7 18:49:08 2020 reduce to 146074285 relations and 128987687 ideals in 6 passes
  326. Wed Oct 7 18:49:08 2020 max relations containing the same ideal: 152
  327. Wed Oct 7 18:50:09 2020 removing 7445920 relations and 5445920 ideals in 2000000 cliques
  328. Wed Oct 7 18:50:12 2020 commencing in-memory singleton removal
  329. Wed Oct 7 18:50:22 2020 begin with 138628365 relations and 128987687 unique ideals
  330. Wed Oct 7 18:51:40 2020 reduce to 138320211 relations and 123229890 ideals in 7 passes
  331. Wed Oct 7 18:51:40 2020 max relations containing the same ideal: 148
  332. Wed Oct 7 18:52:38 2020 removing 7454104 relations and 5454104 ideals in 2000000 cliques
  333. Wed Oct 7 18:52:41 2020 commencing in-memory singleton removal
  334. Wed Oct 7 18:52:51 2020 begin with 130866107 relations and 123229890 unique ideals
  335. Wed Oct 7 18:54:14 2020 reduce to 130542505 relations and 117448168 ideals in 8 passes
  336. Wed Oct 7 18:54:14 2020 max relations containing the same ideal: 141
  337. Wed Oct 7 18:55:09 2020 removing 7471692 relations and 5471692 ideals in 2000000 cliques
  338. Wed Oct 7 18:55:12 2020 commencing in-memory singleton removal
  339. Wed Oct 7 18:55:21 2020 begin with 123070813 relations and 117448168 unique ideals
  340. Wed Oct 7 18:56:29 2020 reduce to 122729367 relations and 111630285 ideals in 7 passes
  341. Wed Oct 7 18:56:29 2020 max relations containing the same ideal: 137
  342. Wed Oct 7 18:57:22 2020 removing 7498586 relations and 5498586 ideals in 2000000 cliques
  343. Wed Oct 7 18:57:24 2020 commencing in-memory singleton removal
  344. Wed Oct 7 18:57:33 2020 begin with 115230781 relations and 111630285 unique ideals
  345. Wed Oct 7 18:58:37 2020 reduce to 114868055 relations and 105763943 ideals in 7 passes
  346. Wed Oct 7 18:58:37 2020 max relations containing the same ideal: 133
  347. Wed Oct 7 18:59:26 2020 removing 7546856 relations and 5546856 ideals in 2000000 cliques
  348. Wed Oct 7 18:59:28 2020 commencing in-memory singleton removal
  349. Wed Oct 7 18:59:36 2020 begin with 107321199 relations and 105763943 unique ideals
  350. Wed Oct 7 19:01:09 2020 reduce to 106931460 relations and 99821502 ideals in 11 passes
  351. Wed Oct 7 19:01:09 2020 max relations containing the same ideal: 123
  352. Wed Oct 7 19:01:54 2020 removing 7601573 relations and 5601573 ideals in 2000000 cliques
  353. Wed Oct 7 19:01:57 2020 commencing in-memory singleton removal
  354. Wed Oct 7 19:02:04 2020 begin with 99329887 relations and 99821502 unique ideals
  355. Wed Oct 7 19:03:07 2020 reduce to 98906339 relations and 93789644 ideals in 8 passes
  356. Wed Oct 7 19:03:07 2020 max relations containing the same ideal: 117
  357. Wed Oct 7 19:03:49 2020 removing 7669793 relations and 5669793 ideals in 2000000 cliques
  358. Wed Oct 7 19:03:52 2020 commencing in-memory singleton removal
  359. Wed Oct 7 19:03:58 2020 begin with 91236546 relations and 93789644 unique ideals
  360. Wed Oct 7 19:04:55 2020 reduce to 90769357 relations and 87644667 ideals in 8 passes
  361. Wed Oct 7 19:04:55 2020 max relations containing the same ideal: 108
  362. Wed Oct 7 19:05:34 2020 removing 6543750 relations and 4922974 ideals in 1620776 cliques
  363. Wed Oct 7 19:05:36 2020 commencing in-memory singleton removal
  364. Wed Oct 7 19:05:42 2020 begin with 84225607 relations and 87644667 unique ideals
  365. Wed Oct 7 19:06:27 2020 reduce to 83859354 relations and 82349820 ideals in 7 passes
  366. Wed Oct 7 19:06:27 2020 max relations containing the same ideal: 102
  367. Wed Oct 7 19:07:11 2020 relations with 0 large ideals: 49217
  368. Wed Oct 7 19:07:11 2020 relations with 1 large ideals: 13256
  369. Wed Oct 7 19:07:11 2020 relations with 2 large ideals: 199701
  370. Wed Oct 7 19:07:11 2020 relations with 3 large ideals: 1441081
  371. Wed Oct 7 19:07:11 2020 relations with 4 large ideals: 5733299
  372. Wed Oct 7 19:07:11 2020 relations with 5 large ideals: 13824180
  373. Wed Oct 7 19:07:11 2020 relations with 6 large ideals: 21110142
  374. Wed Oct 7 19:07:11 2020 relations with 7+ large ideals: 41488478
  375. Wed Oct 7 19:07:11 2020 commencing 2-way merge
  376. Wed Oct 7 19:08:04 2020 reduce to 54557590 relation sets and 53048056 unique ideals
  377. Wed Oct 7 19:08:04 2020 commencing full merge
  378. Wed Oct 7 19:29:19 2020 memory use: 7030.3 MB
  379. Wed Oct 7 19:29:33 2020 found 24756165 cycles, need 24684256
  380. Wed Oct 7 19:29:34 2020 weight of 24684256 cycles is about 2962409891 (120.01/cycle)
  381. Wed Oct 7 19:29:34 2020 distribution of cycle lengths:
  382. Wed Oct 7 19:29:34 2020 1 relations: 1473803
  383. Wed Oct 7 19:29:34 2020 2 relations: 1736954
  384. Wed Oct 7 19:29:34 2020 3 relations: 1866715
  385. Wed Oct 7 19:29:34 2020 4 relations: 1854429
  386. Wed Oct 7 19:29:34 2020 5 relations: 1839405
  387. Wed Oct 7 19:29:34 2020 6 relations: 1784631
  388. Wed Oct 7 19:29:34 2020 7 relations: 1721826
  389. Wed Oct 7 19:29:34 2020 8 relations: 1630291
  390. Wed Oct 7 19:29:34 2020 9 relations: 1530362
  391. Wed Oct 7 19:29:34 2020 10+ relations: 9245840
  392. Wed Oct 7 19:29:34 2020 heaviest cycle: 28 relations
  393. Wed Oct 7 19:29:46 2020 commencing cycle optimization
  394. Wed Oct 7 19:30:45 2020 start with 209035436 relations
  395. Wed Oct 7 19:39:59 2020 pruned 9001371 relations
  396. Wed Oct 7 19:39:59 2020 memory use: 5619.6 MB
  397. Wed Oct 7 19:39:59 2020 distribution of cycle lengths:
  398. Wed Oct 7 19:39:59 2020 1 relations: 1473803
  399. Wed Oct 7 19:39:59 2020 2 relations: 1778027
  400. Wed Oct 7 19:39:59 2020 3 relations: 1943045
  401. Wed Oct 7 19:39:59 2020 4 relations: 1927489
  402. Wed Oct 7 19:39:59 2020 5 relations: 1925098
  403. Wed Oct 7 19:39:59 2020 6 relations: 1862667
  404. Wed Oct 7 19:39:59 2020 7 relations: 1802035
  405. Wed Oct 7 19:39:59 2020 8 relations: 1697533
  406. Wed Oct 7 19:39:59 2020 9 relations: 1592555
  407. Wed Oct 7 19:39:59 2020 10+ relations: 8682004
  408. Wed Oct 7 19:39:59 2020 heaviest cycle: 28 relations
  409. Wed Oct 7 19:41:19 2020 RelProcTime: 13440
  410. Wed Oct 7 19:41:20 2020
  411. Wed Oct 7 19:41:20 2020 commencing linear algebra
  412. Wed Oct 7 19:41:24 2020 read 24684256 cycles
  413. Wed Oct 7 19:42:18 2020 cycles contain 82949981 unique relations
  414. Wed Oct 7 19:59:00 2020 read 82949981 relations
  415. Wed Oct 7 20:02:09 2020 using 20 quadratic characters above 4294917295
  416. Wed Oct 7 20:06:53 2020 building initial matrix
  417. Wed Oct 7 20:22:05 2020 memory use: 10633.7 MB
  418. Wed Oct 7 20:26:57 2020 read 24684256 cycles
  419. Wed Oct 7 20:27:01 2020 matrix is 24684079 x 24684256 (11614.4 MB) with weight 3289850163 (133.28/col)
  420. Wed Oct 7 20:27:01 2020 sparse part has weight 2773105692 (112.34/col)
  421. Wed Oct 7 20:31:36 2020 filtering completed in 2 passes
  422. Wed Oct 7 20:31:40 2020 matrix is 24683506 x 24683683 (11614.3 MB) with weight 3289832037 (133.28/col)
  423. Wed Oct 7 20:31:40 2020 sparse part has weight 2773099807 (112.35/col)
  424. Wed Oct 7 20:39:16 2020 matrix starts at (0, 0)
  425. Wed Oct 7 20:39:19 2020 matrix is 24683506 x 24683683 (11614.3 MB) with weight 3289832037 (133.28/col)
  426. Wed Oct 7 20:39:19 2020 sparse part has weight 2773099807 (112.35/col)
  427. Wed Oct 7 20:39:21 2020 saving the first 48 matrix rows for later
  428. Wed Oct 7 20:39:24 2020 matrix includes 64 packed rows
  429. Wed Oct 7 20:39:26 2020 matrix is 24683458 x 24683683 (11136.1 MB) with weight 2848596731 (115.40/col)
  430. Wed Oct 7 20:39:26 2020 sparse part has weight 2672433808 (108.27/col)
  431. Wed Oct 7 20:39:26 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  432. Wed Oct 7 20:42:13 2020 commencing Lanczos iteration (16 threads)
  433. Wed Oct 7 20:42:13 2020 memory use: 9636.7 MB
  434. Wed Oct 7 20:42:48 2020 linear algebra at 0.0%, ETA 148h39m
  435. Wed Oct 7 20:43:00 2020 checkpointing every 170000 dimensions
  436. Wed Oct 14 06:07:09 2020 lanczos halted after 390341 iterations (dim = 24683458)
  437. Wed Oct 14 06:07:26 2020 recovered 35 nontrivial dependencies
  438. Wed Oct 14 06:07:38 2020 BLanczosTime: 555978
  439. Wed Oct 14 06:07:38 2020
  440. Wed Oct 14 06:07:38 2020 commencing square root phase
  441. Wed Oct 14 06:07:38 2020 handling dependencies 1 to 64
  442. Wed Oct 14 06:07:38 2020 reading relations for dependency 1
  443. Wed Oct 14 06:07:59 2020 read 12343550 cycles
  444. Wed Oct 14 06:08:25 2020 cycles contain 41481838 unique relations
  445. Wed Oct 14 06:25:05 2020 read 41481838 relations
  446. Wed Oct 14 06:28:17 2020 multiplying 41481838 relations
  447. Wed Oct 14 07:07:37 2020 multiply complete, coefficients have about 1603.72 million bits
  448. Wed Oct 14 07:07:41 2020 initial square root is modulo 15626011
  449. Wed Oct 14 07:46:14 2020 GCD is 1, no factor found
  450. Wed Oct 14 07:46:14 2020 reading relations for dependency 2
  451. Wed Oct 14 07:46:39 2020 read 12346625 cycles
  452. Wed Oct 14 07:47:06 2020 cycles contain 41481760 unique relations
  453. Wed Oct 14 08:03:46 2020 read 41481760 relations
  454. Wed Oct 14 08:07:05 2020 multiplying 41481760 relations
  455. Wed Oct 14 08:46:56 2020 multiply complete, coefficients have about 1603.72 million bits
  456. Wed Oct 14 08:46:59 2020 initial square root is modulo 15626473
  457. Wed Oct 14 09:26:39 2020 sqrtTime: 11941
  458. Wed Oct 14 09:26:39 2020 p75 factor: 222096708556293460574968229346532537920176297005258141302958257094318490153
  459. Wed Oct 14 09:26:39 2020 p191 factor: 34427949913540426207879323571090625241587713908139027808237625170990892304737400216313880862687049101696382863910462310245419752748142929324241006246479264649188514072265612630116296223176931
  460. Wed Oct 14 09:26:39 2020 elapsed time 161:29:23
  461.  
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