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9p8_271: p110 x p144

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Sep 9th, 2021
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  1. Mon Sep 6 23:31:46 2021
  2. Mon Sep 6 23:31:46 2021 Msieve v. 1.54 (SVN 1043)
  3. Mon Sep 6 23:31:46 2021 random seeds: a89a7f5f c29a302b
  4. Mon Sep 6 23:31:46 2021 factoring 53961214350268757812589147564252062041783605039703766399864139174237966935586206260713069932627703538946827604986854101963056583607464486314899678833633919978864782430243686745560712457509617737010971972902549108144050553003591335254682288579878887030969 (254 digits)
  5. Mon Sep 6 23:31:47 2021 searching for 15-digit factors
  6. Mon Sep 6 23:31:47 2021 commencing number field sieve (254-digit input)
  7. Mon Sep 6 23:31:47 2021 R0: 8727963568087712425891397479476727340041449
  8. Mon Sep 6 23:31:47 2021 R1: -43556142965880123323311949751266331066368
  9. Mon Sep 6 23:31:47 2021 A0: 8
  10. Mon Sep 6 23:31:47 2021 A1: 0
  11. Mon Sep 6 23:31:47 2021 A2: 0
  12. Mon Sep 6 23:31:47 2021 A3: 0
  13. Mon Sep 6 23:31:47 2021 A4: 0
  14. Mon Sep 6 23:31:47 2021 A5: 0
  15. Mon Sep 6 23:31:47 2021 A6: 9
  16. Mon Sep 6 23:31:47 2021 skew 0.98, size 7.897e-13, alpha 1.337, combined = 9.855e-14 rroots = 0
  17. Mon Sep 6 23:31:47 2021
  18. Mon Sep 6 23:31:47 2021 commencing relation filtering
  19. Mon Sep 6 23:31:47 2021 estimated available RAM is 32086.8 MB
  20. Mon Sep 6 23:31:47 2021 commencing duplicate removal, pass 1
  21. Mon Sep 6 23:32:04 2021 error -15 reading relation 4609116
  22. Mon Sep 6 23:32:04 2021 error -15 reading relation 4609146
  23. Mon Sep 6 23:32:07 2021 error -9 reading relation 5307044
  24. Mon Sep 6 23:32:10 2021 error -15 reading relation 6287998
  25. Mon Sep 6 23:32:10 2021 error -9 reading relation 6297290
  26. Mon Sep 6 23:32:11 2021 error -9 reading relation 6590922
  27. Mon Sep 6 23:32:13 2021 error -15 reading relation 6892841
  28. Mon Sep 6 23:32:18 2021 error -9 reading relation 8402057
  29. Mon Sep 6 23:32:18 2021 error -9 reading relation 8410915
  30. Mon Sep 6 23:32:23 2021 error -15 reading relation 9586945
  31. Mon Sep 6 23:32:28 2021 error -9 reading relation 11129797
  32. Mon Sep 6 23:32:34 2021 error -1 reading relation 12738391
  33. Mon Sep 6 23:32:50 2021 error -9 reading relation 17004552
  34. Mon Sep 6 23:32:50 2021 error -15 reading relation 17015822
  35. Mon Sep 6 23:32:51 2021 error -15 reading relation 17198466
  36. Mon Sep 6 23:32:51 2021 error -1 reading relation 17202386
  37. Mon Sep 6 23:32:53 2021 error -9 reading relation 17834780
  38. Mon Sep 6 23:32:53 2021 error -1 reading relation 17839727
  39. Mon Sep 6 23:32:59 2021 error -9 reading relation 19221971
  40. Mon Sep 6 23:32:59 2021 error -9 reading relation 19303179
  41. Mon Sep 6 23:33:00 2021 error -1 reading relation 19600938
  42. Mon Sep 6 23:33:02 2021 error -9 reading relation 20238490
  43. Mon Sep 6 23:33:03 2021 error -9 reading relation 20272582
  44. Mon Sep 6 23:33:06 2021 error -9 reading relation 21084812
  45. Mon Sep 6 23:33:06 2021 error -1 reading relation 21111361
  46. Mon Sep 6 23:33:06 2021 error -9 reading relation 21112136
  47. Mon Sep 6 23:33:06 2021 error -9 reading relation 21193147
  48. Mon Sep 6 23:33:06 2021 error -15 reading relation 21294253
  49. Mon Sep 6 23:33:08 2021 error -15 reading relation 21866471
  50. Mon Sep 6 23:33:12 2021 error -9 reading relation 22927574
  51. Mon Sep 6 23:33:12 2021 error -15 reading relation 22937704
  52. Mon Sep 6 23:33:15 2021 error -9 reading relation 23673022
  53. Mon Sep 6 23:33:17 2021 error -5 reading relation 24277872
  54. Mon Sep 6 23:33:20 2021 error -9 reading relation 24872186
  55. Mon Sep 6 23:33:45 2021 error -1 reading relation 31629281
  56. Mon Sep 6 23:33:52 2021 error -1 reading relation 33423922
  57. Mon Sep 6 23:33:53 2021 error -15 reading relation 33678876
  58. Mon Sep 6 23:33:55 2021 error -9 reading relation 34180641
  59. Mon Sep 6 23:33:56 2021 error -9 reading relation 34408526
  60. Mon Sep 6 23:33:56 2021 error -5 reading relation 34433802
  61. Mon Sep 6 23:34:01 2021 error -9 reading relation 35893660
  62. Mon Sep 6 23:34:02 2021 error -5 reading relation 36139890
  63. Mon Sep 6 23:34:03 2021 error -5 reading relation 36306727
  64. Mon Sep 6 23:34:09 2021 error -15 reading relation 37867573
  65. Mon Sep 6 23:34:20 2021 error -9 reading relation 40873868
  66. Mon Sep 6 23:34:22 2021 error -5 reading relation 41291028
  67. Mon Sep 6 23:34:26 2021 error -9 reading relation 42334079
  68. Mon Sep 6 23:34:47 2021 error -9 reading relation 47795269
  69. Mon Sep 6 23:35:50 2021 error -9 reading relation 64318855
  70. Mon Sep 6 23:35:56 2021 error -9 reading relation 65813895
  71. Mon Sep 6 23:36:04 2021 error -9 reading relation 67853161
  72. Mon Sep 6 23:36:22 2021 error -1 reading relation 72354194
  73. Mon Sep 6 23:36:32 2021 error -9 reading relation 75081912
  74. Mon Sep 6 23:36:51 2021 error -15 reading relation 80199466
  75. Mon Sep 6 23:37:07 2021 error -15 reading relation 84584455
  76. Mon Sep 6 23:37:13 2021 error -9 reading relation 86062149
  77. Mon Sep 6 23:37:37 2021 error -9 reading relation 92428875
  78. Mon Sep 6 23:37:51 2021 error -15 reading relation 96065118
  79. Mon Sep 6 23:37:51 2021 error -9 reading relation 96066983
  80. Mon Sep 6 23:38:04 2021 error -9 reading relation 99356248
  81. Mon Sep 6 23:38:04 2021 error -9 reading relation 99361557
  82. Mon Sep 6 23:38:04 2021 error -15 reading relation 99378616
  83. Mon Sep 6 23:38:08 2021 error -9 reading relation 100414144
  84. Mon Sep 6 23:38:08 2021 error -9 reading relation 100530992
  85. Mon Sep 6 23:38:22 2021 error -15 reading relation 104254748
  86. Mon Sep 6 23:38:23 2021 error -9 reading relation 104388014
  87. Mon Sep 6 23:38:45 2021 error -9 reading relation 110040639
  88. Mon Sep 6 23:38:45 2021 error -9 reading relation 110149629
  89. Mon Sep 6 23:38:46 2021 error -5 reading relation 110480603
  90. Mon Sep 6 23:38:46 2021 error -1 reading relation 110498152
  91. Mon Sep 6 23:38:48 2021 error -5 reading relation 110838398
  92. Mon Sep 6 23:38:56 2021 error -9 reading relation 113071547
  93. Mon Sep 6 23:39:01 2021 error -1 reading relation 114283319
  94. Mon Sep 6 23:39:08 2021 error -15 reading relation 115919210
  95. Mon Sep 6 23:39:23 2021 error -1 reading relation 119819470
  96. Mon Sep 6 23:39:29 2021 error -5 reading relation 121460815
  97. Mon Sep 6 23:39:35 2021 error -9 reading relation 122897030
  98. Mon Sep 6 23:39:35 2021 error -5 reading relation 122897805
  99. Mon Sep 6 23:39:36 2021 error -9 reading relation 123099526
  100. Mon Sep 6 23:39:38 2021 error -15 reading relation 123650650
  101. Mon Sep 6 23:39:39 2021 error -5 reading relation 123950480
  102. Mon Sep 6 23:39:40 2021 error -9 reading relation 124177366
  103. Mon Sep 6 23:39:45 2021 error -1 reading relation 125368630
  104. Mon Sep 6 23:39:49 2021 error -1 reading relation 126648316
  105. Mon Sep 6 23:39:50 2021 error -1 reading relation 126651997
  106. Mon Sep 6 23:39:50 2021 error -15 reading relation 126675685
  107. Mon Sep 6 23:39:53 2021 error -1 reading relation 127531139
  108. Mon Sep 6 23:39:57 2021 error -9 reading relation 128658494
  109. Mon Sep 6 23:40:00 2021 error -9 reading relation 129297252
  110. Mon Sep 6 23:40:01 2021 error -15 reading relation 129622260
  111. Mon Sep 6 23:40:07 2021 error -9 reading relation 131114491
  112. Mon Sep 6 23:40:25 2021 error -5 reading relation 135927788
  113. Mon Sep 6 23:40:32 2021 error -15 reading relation 137711727
  114. Mon Sep 6 23:40:33 2021 error -9 reading relation 138075221
  115. Mon Sep 6 23:40:52 2021 error -1 reading relation 143024697
  116. Mon Sep 6 23:41:07 2021 error -9 reading relation 146839901
  117. Mon Sep 6 23:41:09 2021 error -15 reading relation 147516469
  118. Mon Sep 6 23:41:12 2021 error -1 reading relation 148252613
  119. Mon Sep 6 23:41:15 2021 error -9 reading relation 148943281
  120. Mon Sep 6 23:41:29 2021 error -15 reading relation 152740081
  121. Mon Sep 6 23:41:31 2021 error -15 reading relation 153151804
  122. Mon Sep 6 23:41:33 2021 error -15 reading relation 153741812
  123. Mon Sep 6 23:41:50 2021 error -1 reading relation 158223296
  124. Mon Sep 6 23:41:52 2021 error -15 reading relation 158596538
  125. Mon Sep 6 23:42:03 2021 error -1 reading relation 161515537
  126. Mon Sep 6 23:42:13 2021 error -15 reading relation 164306164
  127. Mon Sep 6 23:42:19 2021 error -9 reading relation 165887058
  128. Mon Sep 6 23:42:22 2021 error -9 reading relation 166572467
  129. Mon Sep 6 23:42:23 2021 error -1 reading relation 166889148
  130. Mon Sep 6 23:42:35 2021 error -5 reading relation 170041591
  131. Mon Sep 6 23:42:38 2021 error -15 reading relation 170934065
  132. Mon Sep 6 23:42:40 2021 error -9 reading relation 171241688
  133. Mon Sep 6 23:42:41 2021 error -15 reading relation 171605012
  134. Mon Sep 6 23:42:45 2021 error -5 reading relation 172621944
  135. Mon Sep 6 23:42:45 2021 error -1 reading relation 172697342
  136. Mon Sep 6 23:42:46 2021 error -5 reading relation 173002766
  137. Mon Sep 6 23:42:51 2021 error -9 reading relation 174344743
  138. Mon Sep 6 23:42:55 2021 error -15 reading relation 175323159
  139. Mon Sep 6 23:43:11 2021 error -9 reading relation 179424138
  140. Mon Sep 6 23:43:15 2021 error -9 reading relation 180441945
  141. Mon Sep 6 23:43:22 2021 error -15 reading relation 182299917
  142. Mon Sep 6 23:43:22 2021 error -5 reading relation 182305145
  143. Mon Sep 6 23:43:34 2021 error -9 reading relation 185586908
  144. Mon Sep 6 23:43:43 2021 error -9 reading relation 188041382
  145. Mon Sep 6 23:43:49 2021 error -5 reading relation 189519355
  146. Mon Sep 6 23:43:49 2021 error -11 reading relation 189611124
  147. Mon Sep 6 23:43:49 2021 error -9 reading relation 189611160
  148. Mon Sep 6 23:43:50 2021 error -9 reading relation 189675150
  149. Mon Sep 6 23:44:06 2021 error -15 reading relation 194080987
  150. Mon Sep 6 23:44:08 2021 error -15 reading relation 194631792
  151. Mon Sep 6 23:44:16 2021 error -9 reading relation 196587590
  152. Mon Sep 6 23:44:19 2021 error -15 reading relation 197384385
  153. Mon Sep 6 23:44:20 2021 error -9 reading relation 197694167
  154. Mon Sep 6 23:44:23 2021 error -15 reading relation 198540706
  155. Mon Sep 6 23:44:27 2021 error -9 reading relation 199474281
  156. Mon Sep 6 23:44:28 2021 error -15 reading relation 199769242
  157. Mon Sep 6 23:44:28 2021 error -9 reading relation 199775931
  158. Mon Sep 6 23:44:29 2021 error -5 reading relation 200170503
  159. Mon Sep 6 23:44:30 2021 error -9 reading relation 200335183
  160. Mon Sep 6 23:44:32 2021 error -9 reading relation 200809648
  161. Mon Sep 6 23:44:40 2021 error -15 reading relation 202906122
  162. Mon Sep 6 23:44:40 2021 error -9 reading relation 203050992
  163. Mon Sep 6 23:44:41 2021 error -9 reading relation 203316799
  164. Mon Sep 6 23:44:44 2021 error -15 reading relation 204144909
  165. Mon Sep 6 23:44:45 2021 error -15 reading relation 204262248
  166. Mon Sep 6 23:44:45 2021 error -15 reading relation 204262284
  167. Mon Sep 6 23:44:50 2021 error -9 reading relation 205691873
  168. Mon Sep 6 23:44:54 2021 error -9 reading relation 206660650
  169. Mon Sep 6 23:44:56 2021 error -5 reading relation 207217898
  170. Mon Sep 6 23:45:05 2021 error -15 reading relation 209527616
  171. Mon Sep 6 23:45:05 2021 error -9 reading relation 209531046
  172. Mon Sep 6 23:45:06 2021 error -9 reading relation 209963467
  173. Mon Sep 6 23:45:07 2021 error -15 reading relation 210119449
  174. Mon Sep 6 23:45:35 2021 error -9 reading relation 217616401
  175. Mon Sep 6 23:45:57 2021 error -9 reading relation 223296640
  176. Mon Sep 6 23:46:04 2021 error -9 reading relation 225248407
  177. Mon Sep 6 23:46:12 2021 error -15 reading relation 227385536
  178. Mon Sep 6 23:46:16 2021 error -15 reading relation 228272282
  179. Mon Sep 6 23:46:17 2021 error -9 reading relation 228593459
  180. Mon Sep 6 23:46:17 2021 error -9 reading relation 228679721
  181. Mon Sep 6 23:46:21 2021 error -9 reading relation 229596798
  182. Mon Sep 6 23:46:26 2021 error -1 reading relation 230969526
  183. Mon Sep 6 23:46:36 2021 error -9 reading relation 233583560
  184. Mon Sep 6 23:46:37 2021 error -5 reading relation 233934918
  185. Mon Sep 6 23:46:37 2021 error -9 reading relation 233934996
  186. Mon Sep 6 23:46:38 2021 error -15 reading relation 234257428
  187. Mon Sep 6 23:46:52 2021 error -9 reading relation 238003444
  188. Mon Sep 6 23:46:54 2021 error -15 reading relation 238501731
  189. Mon Sep 6 23:47:01 2021 error -15 reading relation 240279583
  190. Mon Sep 6 23:47:05 2021 error -9 reading relation 241437272
  191. Mon Sep 6 23:47:10 2021 error -1 reading relation 242517332
  192. Mon Sep 6 23:47:10 2021 error -9 reading relation 242618145
  193. Mon Sep 6 23:47:17 2021 error -1 reading relation 244375998
  194. Mon Sep 6 23:47:22 2021 error -9 reading relation 245714751
  195. Mon Sep 6 23:47:34 2021 error -9 reading relation 249080877
  196. Mon Sep 6 23:47:35 2021 error -9 reading relation 249227862
  197. Mon Sep 6 23:47:37 2021 error -15 reading relation 249669437
  198. Mon Sep 6 23:47:38 2021 error -9 reading relation 249908063
  199. Mon Sep 6 23:47:38 2021 error -15 reading relation 249910195
  200. Mon Sep 6 23:47:38 2021 error -15 reading relation 249911443
  201. Mon Sep 6 23:47:42 2021 error -9 reading relation 251142915
  202. Mon Sep 6 23:47:42 2021 error -9 reading relation 251192133
  203. Mon Sep 6 23:47:44 2021 error -9 reading relation 251596607
  204. Mon Sep 6 23:47:44 2021 error -9 reading relation 251616331
  205. Mon Sep 6 23:47:45 2021 error -15 reading relation 251862665
  206. Mon Sep 6 23:47:45 2021 error -15 reading relation 251984044
  207. Mon Sep 6 23:47:47 2021 error -5 reading relation 252372126
  208. Mon Sep 6 23:47:47 2021 error -9 reading relation 252453582
  209. Mon Sep 6 23:47:47 2021 error -15 reading relation 252464562
  210. Mon Sep 6 23:47:47 2021 error -1 reading relation 252540599
  211. Mon Sep 6 23:47:48 2021 error -1 reading relation 252590048
  212. Mon Sep 6 23:47:50 2021 error -1 reading relation 253179422
  213. Mon Sep 6 23:47:52 2021 error -9 reading relation 253699668
  214. Mon Sep 6 23:47:54 2021 error -15 reading relation 254136207
  215. Mon Sep 6 23:47:54 2021 error -15 reading relation 254238103
  216. Mon Sep 6 23:47:55 2021 error -5 reading relation 254647946
  217. Mon Sep 6 23:47:57 2021 error -9 reading relation 254970614
  218. Mon Sep 6 23:47:57 2021 error -15 reading relation 254983616
  219. Mon Sep 6 23:47:57 2021 error -5 reading relation 255000743
  220. Mon Sep 6 23:47:57 2021 error -5 reading relation 255031495
  221. Mon Sep 6 23:47:57 2021 error -15 reading relation 255043510
  222. Mon Sep 6 23:47:57 2021 error -5 reading relation 255043511
  223. Mon Sep 6 23:47:58 2021 error -15 reading relation 255409994
  224. Mon Sep 6 23:48:00 2021 error -9 reading relation 255953690
  225. Mon Sep 6 23:48:04 2021 error -9 reading relation 256953304
  226. Mon Sep 6 23:48:04 2021 error -9 reading relation 257056564
  227. Mon Sep 6 23:48:05 2021 error -15 reading relation 257291690
  228. Mon Sep 6 23:48:05 2021 error -15 reading relation 257310473
  229. Mon Sep 6 23:48:06 2021 error -9 reading relation 257418916
  230. Mon Sep 6 23:48:06 2021 error -5 reading relation 257419541
  231. Mon Sep 6 23:48:06 2021 error -1 reading relation 257471610
  232. Mon Sep 6 23:48:06 2021 error -15 reading relation 257543775
  233. Mon Sep 6 23:48:07 2021 error -9 reading relation 257713274
  234. Mon Sep 6 23:48:07 2021 error -9 reading relation 257713383
  235. Mon Sep 6 23:48:15 2021 skipped 755 relations with b > 2^32
  236. Mon Sep 6 23:48:15 2021 skipped 150 relations with composite factors
  237. Mon Sep 6 23:48:15 2021 found 55772714 hash collisions in 259065972 relations
  238. Mon Sep 6 23:48:20 2021 commencing duplicate removal, pass 2
  239. Mon Sep 6 23:49:22 2021 found 58114266 duplicates and 200951706 unique relations
  240. Mon Sep 6 23:49:22 2021 memory use: 1449.5 MB
  241. Mon Sep 6 23:49:22 2021 reading ideals above 189988864
  242. Mon Sep 6 23:49:22 2021 commencing singleton removal, initial pass
  243. Mon Sep 6 23:59:03 2021 memory use: 3012.0 MB
  244. Mon Sep 6 23:59:03 2021 reading all ideals from disk
  245. Mon Sep 6 23:59:05 2021 memory use: 3433.3 MB
  246. Mon Sep 6 23:59:08 2021 commencing in-memory singleton removal
  247. Mon Sep 6 23:59:10 2021 begin with 200951706 relations and 160780833 unique ideals
  248. Mon Sep 6 23:59:46 2021 reduce to 139267463 relations and 93549352 ideals in 13 passes
  249. Mon Sep 6 23:59:46 2021 max relations containing the same ideal: 36
  250. Mon Sep 6 23:59:49 2021 reading ideals above 720000
  251. Mon Sep 6 23:59:49 2021 commencing singleton removal, initial pass
  252. Tue Sep 7 00:08:33 2021 memory use: 3012.0 MB
  253. Tue Sep 7 00:08:33 2021 reading all ideals from disk
  254. Tue Sep 7 00:08:36 2021 memory use: 5750.6 MB
  255. Tue Sep 7 00:08:40 2021 keeping 113916880 ideals with weight <= 200, target excess is 741798
  256. Tue Sep 7 00:08:47 2021 commencing in-memory singleton removal
  257. Tue Sep 7 00:08:51 2021 begin with 139267463 relations and 113916880 unique ideals
  258. Tue Sep 7 00:09:29 2021 reduce to 139255437 relations and 113904852 ideals in 9 passes
  259. Tue Sep 7 00:09:29 2021 max relations containing the same ideal: 200
  260. Tue Sep 7 00:09:55 2021 removing 10730704 relations and 8730704 ideals in 2000000 cliques
  261. Tue Sep 7 00:09:58 2021 commencing in-memory singleton removal
  262. Tue Sep 7 00:10:02 2021 begin with 128524733 relations and 113904852 unique ideals
  263. Tue Sep 7 00:10:33 2021 reduce to 127864710 relations and 104501842 ideals in 8 passes
  264. Tue Sep 7 00:10:33 2021 max relations containing the same ideal: 197
  265. Tue Sep 7 00:10:57 2021 removing 8255686 relations and 6255686 ideals in 2000000 cliquesTue Sep 7 00:10:59 2021 commencing in-memory singleton removal
  266. Tue Sep 7 00:11:03 2021 begin with 119609024 relations and 104501842 unique ideals
  267. Tue Sep 7 00:11:35 2021 reduce to 119167517 relations and 97797516 ideals in 9 passes
  268. Tue Sep 7 00:11:35 2021 max relations containing the same ideal: 190
  269. Tue Sep 7 00:11:57 2021 removing 7520843 relations and 5520843 ideals in 2000000 cliquesTue Sep 7 00:12:00 2021 commencing in-memory singleton removal
  270. Tue Sep 7 00:12:03 2021 begin with 111646674 relations and 97797516 unique ideals
  271. Tue Sep 7 00:12:26 2021 reduce to 111254217 relations and 91877909 ideals in 7 passes
  272. Tue Sep 7 00:12:26 2021 max relations containing the same ideal: 183
  273. Tue Sep 7 00:12:47 2021 removing 7152097 relations and 5152097 ideals in 2000000 cliquesTue Sep 7 00:12:49 2021 commencing in-memory singleton removal
  274. Tue Sep 7 00:12:52 2021 begin with 104102120 relations and 91877909 unique ideals
  275. Tue Sep 7 00:13:14 2021 reduce to 103731606 relations and 86349140 ideals in 7 passes
  276. Tue Sep 7 00:13:14 2021 max relations containing the same ideal: 177
  277. Tue Sep 7 00:13:34 2021 removing 6932388 relations and 4932388 ideals in 2000000 cliquesTue Sep 7 00:13:36 2021 commencing in-memory singleton removal
  278. Tue Sep 7 00:13:39 2021 begin with 96799218 relations and 86349140 unique ideals
  279. Tue Sep 7 00:13:59 2021 reduce to 96434525 relations and 81045792 ideals in 7 passes
  280. Tue Sep 7 00:13:59 2021 max relations containing the same ideal: 169
  281. Tue Sep 7 00:14:18 2021 removing 6788873 relations and 4788873 ideals in 2000000 cliquesTue Sep 7 00:14:19 2021 commencing in-memory singleton removal
  282. Tue Sep 7 00:14:22 2021 begin with 89645652 relations and 81045792 unique ideals
  283. Tue Sep 7 00:14:40 2021 reduce to 89275919 relations and 75880444 ideals in 7 passes
  284. Tue Sep 7 00:14:40 2021 max relations containing the same ideal: 158
  285. Tue Sep 7 00:14:58 2021 removing 6699718 relations and 4699718 ideals in 2000000 cliquesTue Sep 7 00:15:00 2021 commencing in-memory singleton removal
  286. Tue Sep 7 00:15:02 2021 begin with 82576201 relations and 75880444 unique ideals
  287. Tue Sep 7 00:15:19 2021 reduce to 82196765 relations and 70793871 ideals in 7 passes
  288. Tue Sep 7 00:15:19 2021 max relations containing the same ideal: 151
  289. Tue Sep 7 00:15:35 2021 removing 6644976 relations and 4644976 ideals in 2000000 cliquesTue Sep 7 00:15:37 2021 commencing in-memory singleton removal
  290. Tue Sep 7 00:15:39 2021 begin with 75551789 relations and 70793871 unique ideals
  291. Tue Sep 7 00:15:54 2021 reduce to 75155269 relations and 65743863 ideals in 7 passes
  292. Tue Sep 7 00:15:54 2021 max relations containing the same ideal: 142
  293. Tue Sep 7 00:16:09 2021 removing 6619741 relations and 4619741 ideals in 2000000 cliquesTue Sep 7 00:16:11 2021 commencing in-memory singleton removal
  294. Tue Sep 7 00:16:13 2021 begin with 68535528 relations and 65743863 unique ideals
  295. Tue Sep 7 00:16:29 2021 reduce to 68111543 relations and 60690440 ideals in 8 passes
  296. Tue Sep 7 00:16:29 2021 max relations containing the same ideal: 132
  297. Tue Sep 7 00:16:42 2021 removing 6610734 relations and 4610734 ideals in 2000000 cliquesTue Sep 7 00:16:44 2021 commencing in-memory singleton removal
  298. Tue Sep 7 00:16:46 2021 begin with 61500809 relations and 60690440 unique ideals
  299. Tue Sep 7 00:17:00 2021 reduce to 61040289 relations and 55607652 ideals in 8 passes
  300. Tue Sep 7 00:17:00 2021 max relations containing the same ideal: 124
  301. Tue Sep 7 00:17:12 2021 removing 6627198 relations and 4627198 ideals in 2000000 cliquesTue Sep 7 00:17:14 2021 commencing in-memory singleton removal
  302. Tue Sep 7 00:17:15 2021 begin with 54413091 relations and 55607652 unique ideals
  303. Tue Sep 7 00:17:27 2021 reduce to 53902000 relations and 50455268 ideals in 8 passes
  304. Tue Sep 7 00:17:27 2021 max relations containing the same ideal: 112
  305. Tue Sep 7 00:17:38 2021 removing 6657196 relations and 4657196 ideals in 2000000 cliquesTue Sep 7 00:17:40 2021 commencing in-memory singleton removal
  306. Tue Sep 7 00:17:41 2021 begin with 47244804 relations and 50455268 unique ideals
  307. Tue Sep 7 00:17:52 2021 reduce to 46660476 relations and 45195634 ideals in 8 passes
  308. Tue Sep 7 00:17:52 2021 max relations containing the same ideal: 104
  309. Tue Sep 7 00:18:01 2021 removing 2560149 relations and 1955793 ideals in 604356 cliques
  310. Tue Sep 7 00:18:02 2021 commencing in-memory singleton removal
  311. Tue Sep 7 00:18:03 2021 begin with 44100327 relations and 45195634 unique ideals
  312. Tue Sep 7 00:18:11 2021 reduce to 44005509 relations and 43143971 ideals in 6 passes
  313. Tue Sep 7 00:18:11 2021 max relations containing the same ideal: 102
  314. Tue Sep 7 00:18:24 2021 relations with 0 large ideals: 27766
  315. Tue Sep 7 00:18:24 2021 relations with 1 large ideals: 7750
  316. Tue Sep 7 00:18:24 2021 relations with 2 large ideals: 85385
  317. Tue Sep 7 00:18:24 2021 relations with 3 large ideals: 646312
  318. Tue Sep 7 00:18:24 2021 relations with 4 large ideals: 2694294
  319. Tue Sep 7 00:18:24 2021 relations with 5 large ideals: 6782184
  320. Tue Sep 7 00:18:24 2021 relations with 6 large ideals: 10806648
  321. Tue Sep 7 00:18:24 2021 relations with 7+ large ideals: 22955170
  322. Tue Sep 7 00:18:24 2021 commencing 2-way merge
  323. Tue Sep 7 00:18:37 2021 reduce to 29489443 relation sets and 28627905 unique ideals
  324. Tue Sep 7 00:18:37 2021 commencing full merge
  325. Tue Sep 7 00:23:19 2021 memory use: 3756.0 MB
  326. Tue Sep 7 00:23:21 2021 found 14801065 cycles, need 14686105
  327. Tue Sep 7 00:23:24 2021 weight of 14686105 cycles is about 1322189561 (90.03/cycle)
  328. Tue Sep 7 00:23:24 2021 distribution of cycle lengths:
  329. Tue Sep 7 00:23:24 2021 1 relations: 1102314
  330. Tue Sep 7 00:23:24 2021 2 relations: 1350534
  331. Tue Sep 7 00:23:24 2021 3 relations: 1480973
  332. Tue Sep 7 00:23:24 2021 4 relations: 1453228
  333. Tue Sep 7 00:23:24 2021 5 relations: 1430497
  334. Tue Sep 7 00:23:24 2021 6 relations: 1344508
  335. Tue Sep 7 00:23:24 2021 7 relations: 1238436
  336. Tue Sep 7 00:23:24 2021 8 relations: 1097791
  337. Tue Sep 7 00:23:24 2021 9 relations: 949287
  338. Tue Sep 7 00:23:24 2021 10+ relations: 3238537
  339. Tue Sep 7 00:23:24 2021 heaviest cycle: 23 relations
  340. Tue Sep 7 00:23:25 2021 commencing cycle optimization
  341. Tue Sep 7 00:23:38 2021 start with 95685391 relations
  342. Tue Sep 7 00:24:58 2021 pruned 3452770 relations
  343. Tue Sep 7 00:24:58 2021 memory use: 2822.4 MB
  344. Tue Sep 7 00:24:58 2021 distribution of cycle lengths:
  345. Tue Sep 7 00:24:58 2021 1 relations: 1102314
  346. Tue Sep 7 00:24:58 2021 2 relations: 1382112
  347. Tue Sep 7 00:24:58 2021 3 relations: 1542019
  348. Tue Sep 7 00:24:58 2021 4 relations: 1507857
  349. Tue Sep 7 00:24:58 2021 5 relations: 1491962
  350. Tue Sep 7 00:24:58 2021 6 relations: 1395172
  351. Tue Sep 7 00:24:58 2021 7 relations: 1282209
  352. Tue Sep 7 00:24:58 2021 8 relations: 1124560
  353. Tue Sep 7 00:24:58 2021 9 relations: 960292
  354. Tue Sep 7 00:24:58 2021 10+ relations: 2897608
  355. Tue Sep 7 00:24:58 2021 heaviest cycle: 23 relations
  356. Tue Sep 7 00:25:08 2021 RelProcTime: 3201
  357. Tue Sep 7 00:25:08 2021
  358. Tue Sep 7 00:25:08 2021 commencing linear algebra
  359. Tue Sep 7 00:25:08 2021 read 14686105 cycles
  360. Tue Sep 7 00:25:20 2021 cycles contain 43573931 unique relations
  361. Tue Sep 7 00:27:16 2021 read 43573931 relations
  362. Tue Sep 7 00:28:00 2021 using 20 quadratic characters above 4294917295
  363. Tue Sep 7 00:29:32 2021 building initial matrix
  364. Tue Sep 7 00:33:29 2021 memory use: 5593.6 MB
  365. Tue Sep 7 00:33:32 2021 read 14686105 cycles
  366. Tue Sep 7 00:33:33 2021 matrix is 14685928 x 14686105 (5415.6 MB) with weight 1560578449 (106.26/col)
  367. Tue Sep 7 00:33:33 2021 sparse part has weight 1258123043 (85.67/col)
  368. Tue Sep 7 00:34:32 2021 filtering completed in 2 passes
  369. Tue Sep 7 00:34:33 2021 matrix is 14685093 x 14685270 (5415.5 MB) with weight 1560553136 (106.27/col)
  370. Tue Sep 7 00:34:33 2021 sparse part has weight 1258114422 (85.67/col)
  371. Tue Sep 7 00:34:47 2021 matrix starts at (0, 0)
  372. Tue Sep 7 00:34:48 2021 matrix is 14685093 x 14685270 (5415.5 MB) with weight 1560553136 (106.27/col)
  373. Tue Sep 7 00:34:48 2021 sparse part has weight 1258114422 (85.67/col)
  374. Tue Sep 7 00:34:48 2021 saving the first 48 matrix rows for later
  375. Tue Sep 7 00:34:49 2021 matrix includes 64 packed rows
  376. Tue Sep 7 00:34:50 2021 matrix is 14685045 x 14685270 (5202.9 MB) with weight 1304587065 (88.84/col)
  377. Tue Sep 7 00:34:50 2021 sparse part has weight 1217044585 (82.88/col)
  378. Tue Sep 7 00:34:50 2021 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  379. Tue Sep 7 00:35:21 2021 commencing Lanczos iteration (12 threads)
  380. Tue Sep 7 00:35:21 2021 memory use: 5116.1 MB
  381. Tue Sep 7 00:35:37 2021 linear algebra at 0.0%, ETA 40h18m
  382. Tue Sep 7 00:35:42 2021 checkpointing every 370000 dimensions
  383. Tue Sep 7 19:16:11 2021 lanczos halted after 103215 iterations (dim = 6526731)
  384. Tue Sep 7 19:16:12 2021 BLanczosTime: 67864
  385. Tue Sep 7 19:16:12 2021
  386. Tue Sep 7 19:16:12 2021 commencing square root phase
  387. Tue Sep 7 19:16:12 2021 reading relations for dependency 1
  388. Tue Sep 7 19:16:12 2021 error: read_cycles can't open dependency file
  389. Tue Sep 7 22:47:04 2021
  390. Tue Sep 7 22:47:04 2021
  391. Tue Sep 7 22:47:04 2021 Msieve v. 1.54 (SVN 1043)
  392. Tue Sep 7 22:47:04 2021 random seeds: 603c02d9 5307da9e
  393. Tue Sep 7 22:47:04 2021 factoring 53961214350268757812589147564252062041783605039703766399864139174237966935586206260713069932627703538946827604986854101963056583607464486314899678833633919978864782430243686745560712457509617737010971972902549108144050553003591335254682288579878887030969 (254 digits)
  394. Tue Sep 7 22:47:05 2021 searching for 15-digit factors
  395. Tue Sep 7 22:47:05 2021 commencing number field sieve (254-digit input)
  396. Tue Sep 7 22:47:05 2021 R0: 8727963568087712425891397479476727340041449
  397. Tue Sep 7 22:47:05 2021 R1: -43556142965880123323311949751266331066368
  398. Tue Sep 7 22:47:05 2021 A0: 8
  399. Tue Sep 7 22:47:05 2021 A1: 0
  400. Tue Sep 7 22:47:05 2021 A2: 0
  401. Tue Sep 7 22:47:05 2021 A3: 0
  402. Tue Sep 7 22:47:05 2021 A4: 0
  403. Tue Sep 7 22:47:05 2021 A5: 0
  404. Tue Sep 7 22:47:05 2021 A6: 9
  405. Tue Sep 7 22:47:05 2021 skew 0.98, size 7.897e-13, alpha 1.337, combined = 9.855e-14 rroots = 0
  406. Tue Sep 7 22:47:05 2021
  407. Tue Sep 7 22:47:05 2021 commencing linear algebra
  408. Tue Sep 7 22:47:07 2021 matrix starts at (0, 0)
  409. Tue Sep 7 22:47:08 2021 matrix is 14685093 x 14685270 (5415.5 MB) with weight 1560553136 (106.27/col)
  410. Tue Sep 7 22:47:08 2021 sparse part has weight 1258114422 (85.67/col)
  411. Tue Sep 7 22:47:08 2021 saving the first 48 matrix rows for later
  412. Tue Sep 7 22:47:09 2021 matrix includes 64 packed rows
  413. Tue Sep 7 22:47:11 2021 matrix is 14685045 x 14685270 (5202.9 MB) with weight 1304587065 (88.84/col)
  414. Tue Sep 7 22:47:11 2021 sparse part has weight 1217044585 (82.88/col)
  415. Tue Sep 7 22:47:11 2021 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  416. Tue Sep 7 22:47:41 2021 commencing Lanczos iteration
  417. Tue Sep 7 22:47:41 2021 memory use: 5115.9 MB
  418. Tue Sep 7 22:47:41 2021 restarting at iteration 103215 (dim = 6526731)
  419. Tue Sep 7 22:48:04 2021 lanczos halted after 103221 iterations (dim = 6527110)
  420. Tue Sep 7 22:48:04 2021 BLanczosTime: 59
  421. Tue Sep 7 22:48:04 2021 elapsed time 00:01:00
  422. Tue Sep 7 22:48:08 2021
  423. Tue Sep 7 22:48:08 2021
  424. Tue Sep 7 22:48:08 2021 Msieve v. 1.54 (SVN 1043)
  425. Tue Sep 7 22:48:08 2021 random seeds: 494cc46f 5a987913
  426. Tue Sep 7 22:48:08 2021 factoring 53961214350268757812589147564252062041783605039703766399864139174237966935586206260713069932627703538946827604986854101963056583607464486314899678833633919978864782430243686745560712457509617737010971972902549108144050553003591335254682288579878887030969 (254 digits)
  427. Tue Sep 7 22:48:09 2021 searching for 15-digit factors
  428. Tue Sep 7 22:48:09 2021 commencing number field sieve (254-digit input)
  429. Tue Sep 7 22:48:09 2021 R0: 8727963568087712425891397479476727340041449
  430. Tue Sep 7 22:48:09 2021 R1: -43556142965880123323311949751266331066368
  431. Tue Sep 7 22:48:09 2021 A0: 8
  432. Tue Sep 7 22:48:09 2021 A1: 0
  433. Tue Sep 7 22:48:09 2021 A2: 0
  434. Tue Sep 7 22:48:09 2021 A3: 0
  435. Tue Sep 7 22:48:09 2021 A4: 0
  436. Tue Sep 7 22:48:09 2021 A5: 0
  437. Tue Sep 7 22:48:09 2021 A6: 9
  438. Tue Sep 7 22:48:09 2021 skew 0.98, size 7.897e-13, alpha 1.337, combined = 9.855e-14 rroots = 0
  439. Tue Sep 7 22:48:09 2021
  440. Tue Sep 7 22:48:09 2021 commencing linear algebra
  441. Tue Sep 7 22:48:10 2021 matrix starts at (0, 0)
  442. Tue Sep 7 22:48:12 2021 matrix is 14685093 x 14685270 (5415.5 MB) with weight 1560553136 (106.27/col)
  443. Tue Sep 7 22:48:12 2021 sparse part has weight 1258114422 (85.67/col)
  444. Tue Sep 7 22:48:12 2021 saving the first 48 matrix rows for later
  445. Tue Sep 7 22:48:13 2021 matrix includes 64 packed rows
  446. Tue Sep 7 22:48:14 2021 matrix is 14685045 x 14685270 (5202.9 MB) with weight 1304587065 (88.84/col)
  447. Tue Sep 7 22:48:14 2021 sparse part has weight 1217044585 (82.88/col)
  448. Tue Sep 7 22:48:14 2021 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  449. Tue Sep 7 22:48:44 2021 commencing Lanczos iteration (12 threads)
  450. Tue Sep 7 22:48:44 2021 memory use: 5116.1 MB
  451. Tue Sep 7 22:48:44 2021 restarting at iteration 103221 (dim = 6527110)
  452. Tue Sep 7 22:48:53 2021 checkpointing every 380000 dimensions
  453. Tue Sep 7 22:48:58 2021 linear algebra at 44.5%, ETA 20h55m
  454. Thu Sep 9 00:12:14 2021
  455. Thu Sep 9 00:12:14 2021
  456. Thu Sep 9 00:12:14 2021 Msieve v. 1.54 (SVN 1043)
  457. Thu Sep 9 00:12:14 2021 random seeds: 0f065063 9d059f15
  458. Thu Sep 9 00:12:14 2021 factoring 53961214350268757812589147564252062041783605039703766399864139174237966935586206260713069932627703538946827604986854101963056583607464486314899678833633919978864782430243686745560712457509617737010971972902549108144050553003591335254682288579878887030969 (254 digits)
  459. Thu Sep 9 00:12:15 2021 searching for 15-digit factors
  460. Thu Sep 9 00:12:15 2021 commencing number field sieve (254-digit input)
  461. Thu Sep 9 00:12:15 2021 R0: 8727963568087712425891397479476727340041449
  462. Thu Sep 9 00:12:15 2021 R1: -43556142965880123323311949751266331066368
  463. Thu Sep 9 00:12:15 2021 A0: 8
  464. Thu Sep 9 00:12:15 2021 A1: 0
  465. Thu Sep 9 00:12:15 2021 A2: 0
  466. Thu Sep 9 00:12:15 2021 A3: 0
  467. Thu Sep 9 00:12:15 2021 A4: 0
  468. Thu Sep 9 00:12:15 2021 A5: 0
  469. Thu Sep 9 00:12:15 2021 A6: 9
  470. Thu Sep 9 00:12:15 2021 skew 0.98, size 7.897e-13, alpha 1.337, combined = 9.855e-14 rroots = 0
  471. Thu Sep 9 00:12:15 2021
  472. Thu Sep 9 00:12:15 2021 commencing linear algebra
  473. Thu Sep 9 00:12:17 2021 matrix starts at (0, 0)
  474. Thu Sep 9 00:12:18 2021 matrix is 14685093 x 14685270 (5415.5 MB) with weight 1560553136 (106.27/col)
  475. Thu Sep 9 00:12:18 2021 sparse part has weight 1258114422 (85.67/col)
  476. Thu Sep 9 00:12:18 2021 saving the first 48 matrix rows for later
  477. Thu Sep 9 00:12:19 2021 matrix includes 64 packed rows
  478. Thu Sep 9 00:12:20 2021 matrix is 14685045 x 14685270 (5202.9 MB) with weight 1304587065 (88.84/col)
  479. Thu Sep 9 00:12:20 2021 sparse part has weight 1217044585 (82.88/col)
  480. Thu Sep 9 00:12:20 2021 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  481. Thu Sep 9 00:12:52 2021 commencing Lanczos iteration (12 threads)
  482. Thu Sep 9 00:12:52 2021 memory use: 5116.1 MB
  483. Thu Sep 9 00:12:52 2021 restarting at iteration 198304 (dim = 12540029)
  484. Thu Sep 9 00:13:07 2021 linear algebra at 85.4%, ETA 5h51m
  485. Thu Sep 9 00:13:12 2021 checkpointing every 370000 dimensions
  486. Thu Sep 9 06:09:16 2021 lanczos halted after 232224 iterations (dim = 14685042)
  487. Thu Sep 9 06:09:24 2021 recovered 34 nontrivial dependencies
  488. Thu Sep 9 06:09:24 2021 BLanczosTime: 21429
  489. Thu Sep 9 06:09:24 2021
  490. Thu Sep 9 06:09:24 2021 commencing square root phase
  491. Thu Sep 9 06:09:24 2021 reading relations for dependency 1
  492. Thu Sep 9 06:09:25 2021 read 7342201 cycles
  493. Thu Sep 9 06:09:31 2021 cycles contain 21785478 unique relations
  494. Thu Sep 9 06:10:36 2021 read 21785478 relations
  495. Thu Sep 9 06:11:25 2021 multiplying 21785478 relations
  496. Thu Sep 9 06:19:37 2021 multiply complete, coefficients have about 637.44 million bits
  497. Thu Sep 9 06:19:38 2021 initial square root is modulo 523519
  498. Thu Sep 9 06:28:01 2021 sqrtTime: 1117
  499. Thu Sep 9 06:28:01 2021 p110 factor: 57016320591952120412424461448678234035975146527927731496100496326020182547347261535675163229732744056224996337
  500. Thu Sep 9 06:28:01 2021 p144 factor: 946416987101854618174377690331042289894940585200884339460152438846359409158126012477873212563601727126124119840399210582575631599577799471454537
  501. Thu Sep 9 06:28:01 2021 elapsed time 06:15:47
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