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  1. Fri Jul 29 23:17:40 2016  
  2. Fri Jul 29 23:17:40 2016  
  3. Fri Jul 29 23:17:40 2016  Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 29 23:17:40 2016  random seeds: ec00a546 b46ae5d3
  5. Fri Jul 29 23:17:40 2016  factoring 26804759601686428151498433807697014678100322058561394113584238069431947597526877951297744597400804916678159078860086557634093117257286621418087001735622790258181692815690297696602211116448222395762603941348461276362287 (218 digits)
  6. Fri Jul 29 23:17:41 2016  searching for 15-digit factors
  7. Fri Jul 29 23:17:43 2016  commencing number field sieve (218-digit input)
  8. Fri Jul 29 23:17:43 2016  R0: 3740434344477351388916475705363381856681
  9. Fri Jul 29 23:17:43 2016  R1: -1824800363140073127359051977856583921
  10. Fri Jul 29 23:17:43 2016  A0: 9
  11. Fri Jul 29 23:17:43 2016  A1: 0
  12. Fri Jul 29 23:17:43 2016  A2: 0
  13. Fri Jul 29 23:17:43 2016  A3: 0
  14. Fri Jul 29 23:17:43 2016  A4: 0
  15. Fri Jul 29 23:17:43 2016  A5: 0
  16. Fri Jul 29 23:17:43 2016  A6: 11
  17. Fri Jul 29 23:17:43 2016  skew 0.97, size 8.105e-12, alpha 0.776, combined = 5.518e-13 rroots = 0
  18. Fri Jul 29 23:17:43 2016  
  19. Fri Jul 29 23:17:43 2016  commencing relation filtering
  20. Fri Jul 29 23:17:43 2016  setting target matrix density to 130.0
  21. Fri Jul 29 23:17:43 2016  estimated available RAM is 65536.0 MB
  22. Fri Jul 29 23:17:43 2016  commencing duplicate removal, pass 1
  23. Fri Jul 29 23:41:26 2016  error -9 reading relation 193344021
  24. Fri Jul 29 23:41:28 2016  error -5 reading relation 193681063
  25. Fri Jul 29 23:42:18 2016  error -9 reading relation 200370368
  26. Fri Jul 29 23:42:19 2016  error -9 reading relation 200610214
  27. Fri Jul 29 23:42:21 2016  error -5 reading relation 200883830
  28. Fri Jul 29 23:42:22 2016  error -15 reading relation 201016786
  29. Fri Jul 29 23:45:48 2016  error -9 reading relation 229049427
  30. Fri Jul 29 23:46:22 2016  error -15 reading relation 233744331
  31. Fri Jul 29 23:47:40 2016  error -15 reading relation 244619225
  32. Fri Jul 29 23:47:40 2016  error -1 reading relation 244636524
  33. Fri Jul 29 23:47:53 2016  error -1 reading relation 246340007
  34. Fri Jul 29 23:48:06 2016  error -9 reading relation 248238013
  35. Fri Jul 29 23:48:30 2016  error -15 reading relation 251475969
  36. Fri Jul 29 23:48:30 2016  error -9 reading relation 251505116
  37. Fri Jul 29 23:48:30 2016  error -9 reading relation 251521495
  38. Fri Jul 29 23:48:32 2016  error -9 reading relation 251755833
  39. Fri Jul 29 23:48:36 2016  error -9 reading relation 252297503
  40. Fri Jul 29 23:48:37 2016  error -5 reading relation 252580637
  41. Fri Jul 29 23:49:33 2016  skipped 56 relations with b > 2^32
  42. Fri Jul 29 23:49:33 2016  skipped 9 relations with composite factors
  43. Fri Jul 29 23:49:33 2016  found 48825386 hash collisions in 260357083 relations
  44. Fri Jul 29 23:49:47 2016  added 1219069 free relations
  45. Fri Jul 29 23:49:47 2016  commencing duplicate removal, pass 2
  46. Fri Jul 29 23:53:41 2016  found 46117811 duplicates and 215458341 unique relations
  47. Fri Jul 29 23:53:41 2016  memory use: 1321.5 MB
  48. Fri Jul 29 23:53:41 2016  reading ideals above 720000
  49. Fri Jul 29 23:53:41 2016  commencing singleton removal, initial pass
  50. Sat Jul 30 00:19:57 2016  memory use: 5512.0 MB
  51. Sat Jul 30 00:19:57 2016  reading all ideals from disk
  52. Sat Jul 30 00:20:02 2016  memory use: 8372.9 MB
  53. Sat Jul 30 00:20:24 2016  keeping 178557609 ideals with weight <= 200, target excess is 1085799
  54. Sat Jul 30 00:20:49 2016  commencing in-memory singleton removal
  55. Sat Jul 30 00:21:06 2016  begin with 215458341 relations and 178557609 unique ideals
  56. Sat Jul 30 00:23:47 2016  reduce to 154026982 relations and 111860507 ideals in 12 passes
  57. Sat Jul 30 00:23:47 2016  max relations containing the same ideal: 171
  58. Sat Jul 30 00:24:47 2016  removing 9489125 relations and 7489125 ideals in 2000000 cliques
  59. Sat Jul 30 00:24:50 2016  commencing in-memory singleton removal
  60. Sat Jul 30 00:25:01 2016  begin with 144537857 relations and 111860507 unique ideals
  61. Sat Jul 30 00:26:24 2016  reduce to 144096202 relations and 103922279 ideals in 7 passes
  62. Sat Jul 30 00:26:24 2016  max relations containing the same ideal: 166
  63. Sat Jul 30 00:27:20 2016  removing 7265039 relations and 5265039 ideals in 2000000 cliques
  64. Sat Jul 30 00:27:23 2016  commencing in-memory singleton removal
  65. Sat Jul 30 00:27:33 2016  begin with 136831163 relations and 103922279 unique ideals
  66. Sat Jul 30 00:28:52 2016  reduce to 136532609 relations and 98354487 ideals in 7 passes
  67. Sat Jul 30 00:28:52 2016  max relations containing the same ideal: 159
  68. Sat Jul 30 00:29:44 2016  removing 6630695 relations and 4630695 ideals in 2000000 cliques
  69. Sat Jul 30 00:29:47 2016  commencing in-memory singleton removal
  70. Sat Jul 30 00:29:57 2016  begin with 129901914 relations and 98354487 unique ideals
  71. Sat Jul 30 00:31:00 2016  reduce to 129644827 relations and 93462949 ideals in 6 passes
  72. Sat Jul 30 00:31:00 2016  max relations containing the same ideal: 158
  73. Sat Jul 30 00:31:50 2016  removing 6297956 relations and 4297956 ideals in 2000000 cliques
  74. Sat Jul 30 00:31:53 2016  commencing in-memory singleton removal
  75. Sat Jul 30 00:32:02 2016  begin with 123346871 relations and 93462949 unique ideals
  76. Sat Jul 30 00:33:02 2016  reduce to 123112699 relations and 88927234 ideals in 6 passes
  77. Sat Jul 30 00:33:02 2016  max relations containing the same ideal: 151
  78. Sat Jul 30 00:33:50 2016  removing 6087099 relations and 4087099 ideals in 2000000 cliques
  79. Sat Jul 30 00:33:53 2016  commencing in-memory singleton removal
  80. Sat Jul 30 00:34:01 2016  begin with 117025600 relations and 88927234 unique ideals
  81. Sat Jul 30 00:35:07 2016  reduce to 116804099 relations and 84615321 ideals in 7 passes
  82. Sat Jul 30 00:35:07 2016  max relations containing the same ideal: 144
  83. Sat Jul 30 00:35:52 2016  removing 5940083 relations and 3940083 ideals in 2000000 cliques
  84. Sat Jul 30 00:35:55 2016  commencing in-memory singleton removal
  85. Sat Jul 30 00:36:03 2016  begin with 110864016 relations and 84615321 unique ideals
  86. Sat Jul 30 00:36:56 2016  reduce to 110649629 relations and 80457594 ideals in 6 passes
  87. Sat Jul 30 00:36:56 2016  max relations containing the same ideal: 137
  88. Sat Jul 30 00:37:39 2016  removing 5825594 relations and 3825594 ideals in 2000000 cliques
  89. Sat Jul 30 00:37:41 2016  commencing in-memory singleton removal
  90. Sat Jul 30 00:37:49 2016  begin with 104824035 relations and 80457594 unique ideals
  91. Sat Jul 30 00:38:39 2016  reduce to 104612877 relations and 76417305 ideals in 6 passes
  92. Sat Jul 30 00:38:39 2016  max relations containing the same ideal: 130
  93. Sat Jul 30 00:39:20 2016  removing 5737037 relations and 3737037 ideals in 2000000 cliques
  94. Sat Jul 30 00:39:23 2016  commencing in-memory singleton removal
  95. Sat Jul 30 00:39:30 2016  begin with 98875840 relations and 76417305 unique ideals
  96. Sat Jul 30 00:40:17 2016  reduce to 98665501 relations and 72466105 ideals in 6 passes
  97. Sat Jul 30 00:40:17 2016  max relations containing the same ideal: 128
  98. Sat Jul 30 00:40:55 2016  removing 5668673 relations and 3668673 ideals in 2000000 cliques
  99. Sat Jul 30 00:40:57 2016  commencing in-memory singleton removal
  100. Sat Jul 30 00:41:04 2016  begin with 92996828 relations and 72466105 unique ideals
  101. Sat Jul 30 00:41:48 2016  reduce to 92785802 relations and 68582471 ideals in 6 passes
  102. Sat Jul 30 00:41:48 2016  max relations containing the same ideal: 123
  103. Sat Jul 30 00:42:24 2016  removing 5614180 relations and 3614180 ideals in 2000000 cliques
  104. Sat Jul 30 00:42:26 2016  commencing in-memory singleton removal
  105. Sat Jul 30 00:42:33 2016  begin with 87171622 relations and 68582471 unique ideals
  106. Sat Jul 30 00:43:13 2016  reduce to 86955537 relations and 64748051 ideals in 6 passes
  107. Sat Jul 30 00:43:13 2016  max relations containing the same ideal: 118
  108. Sat Jul 30 00:43:47 2016  removing 5567531 relations and 3567531 ideals in 2000000 cliques
  109. Sat Jul 30 00:43:49 2016  commencing in-memory singleton removal
  110. Sat Jul 30 00:43:55 2016  begin with 81388006 relations and 64748051 unique ideals
  111. Sat Jul 30 00:44:33 2016  reduce to 81165739 relations and 60953585 ideals in 6 passes
  112. Sat Jul 30 00:44:33 2016  max relations containing the same ideal: 112
  113. Sat Jul 30 00:45:04 2016  removing 5534645 relations and 3534645 ideals in 2000000 cliques
  114. Sat Jul 30 00:45:07 2016  commencing in-memory singleton removal
  115. Sat Jul 30 00:45:12 2016  begin with 75631094 relations and 60953585 unique ideals
  116. Sat Jul 30 00:45:47 2016  reduce to 75400933 relations and 57183663 ideals in 6 passes
  117. Sat Jul 30 00:45:47 2016  max relations containing the same ideal: 105
  118. Sat Jul 30 00:46:16 2016  removing 5508037 relations and 3508037 ideals in 2000000 cliques
  119. Sat Jul 30 00:46:18 2016  commencing in-memory singleton removal
  120. Sat Jul 30 00:46:23 2016  begin with 69892896 relations and 57183663 unique ideals
  121. Sat Jul 30 00:46:55 2016  reduce to 69653055 relations and 53430119 ideals in 6 passes
  122. Sat Jul 30 00:46:55 2016  max relations containing the same ideal: 99
  123. Sat Jul 30 00:47:22 2016  removing 5488252 relations and 3488252 ideals in 2000000 cliques
  124. Sat Jul 30 00:47:24 2016  commencing in-memory singleton removal
  125. Sat Jul 30 00:47:28 2016  begin with 64164803 relations and 53430119 unique ideals
  126. Sat Jul 30 00:47:58 2016  reduce to 63912115 relations and 49682813 ideals in 6 passes
  127. Sat Jul 30 00:47:58 2016  max relations containing the same ideal: 95
  128. Sat Jul 30 00:48:22 2016  removing 5474837 relations and 3474837 ideals in 2000000 cliques
  129. Sat Jul 30 00:48:24 2016  commencing in-memory singleton removal
  130. Sat Jul 30 00:48:28 2016  begin with 58437278 relations and 49682813 unique ideals
  131. Sat Jul 30 00:48:54 2016  reduce to 58167254 relations and 45930593 ideals in 6 passes
  132. Sat Jul 30 00:48:54 2016  max relations containing the same ideal: 90
  133. Sat Jul 30 00:49:17 2016  removing 5468629 relations and 3468629 ideals in 2000000 cliques
  134. Sat Jul 30 00:49:18 2016  commencing in-memory singleton removal
  135. Sat Jul 30 00:49:22 2016  begin with 52698625 relations and 45930593 unique ideals
  136. Sat Jul 30 00:49:45 2016  reduce to 52409209 relations and 42163951 ideals in 6 passes
  137. Sat Jul 30 00:49:45 2016  max relations containing the same ideal: 82
  138. Sat Jul 30 00:50:06 2016  removing 5467904 relations and 3467904 ideals in 2000000 cliques
  139. Sat Jul 30 00:50:08 2016  commencing in-memory singleton removal
  140. Sat Jul 30 00:50:11 2016  begin with 46941305 relations and 42163951 unique ideals
  141. Sat Jul 30 00:50:31 2016  reduce to 46622405 relations and 38366870 ideals in 6 passes
  142. Sat Jul 30 00:50:31 2016  max relations containing the same ideal: 77
  143. Sat Jul 30 00:50:50 2016  removing 5471993 relations and 3471993 ideals in 2000000 cliques
  144. Sat Jul 30 00:50:51 2016  commencing in-memory singleton removal
  145. Sat Jul 30 00:50:54 2016  begin with 41150412 relations and 38366870 unique ideals
  146. Sat Jul 30 00:51:15 2016  reduce to 40794202 relations and 34525908 ideals in 7 passes
  147. Sat Jul 30 00:51:15 2016  max relations containing the same ideal: 69
  148. Sat Jul 30 00:51:31 2016  removing 5487144 relations and 3487144 ideals in 2000000 cliques
  149. Sat Jul 30 00:51:32 2016  commencing in-memory singleton removal
  150. Sat Jul 30 00:51:34 2016  begin with 35307058 relations and 34525908 unique ideals
  151. Sat Jul 30 00:51:50 2016  reduce to 34889886 relations and 30604697 ideals in 6 passes
  152. Sat Jul 30 00:51:50 2016  max relations containing the same ideal: 61
  153. Sat Jul 30 00:52:03 2016  removing 5523043 relations and 3523043 ideals in 2000000 cliques
  154. Sat Jul 30 00:52:04 2016  commencing in-memory singleton removal
  155. Sat Jul 30 00:52:06 2016  begin with 29366843 relations and 30604697 unique ideals
  156. Sat Jul 30 00:52:20 2016  reduce to 28851257 relations and 26541661 ideals in 7 passes
  157. Sat Jul 30 00:52:20 2016  max relations containing the same ideal: 56
  158. Sat Jul 30 00:52:31 2016  removing 3247073 relations and 2197004 ideals in 1050069 cliques
  159. Sat Jul 30 00:52:33 2016  commencing in-memory singleton removal
  160. Sat Jul 30 00:52:34 2016  begin with 25604184 relations and 26541661 unique ideals
  161. Sat Jul 30 00:52:48 2016  reduce to 25328311 relations and 24059978 ideals in 8 passes
  162. Sat Jul 30 00:52:48 2016  max relations containing the same ideal: 54
  163. Sat Jul 30 00:52:58 2016  removing 52588 relations and 43782 ideals in 8806 cliques
  164. Sat Jul 30 00:52:58 2016  commencing in-memory singleton removal
  165. Sat Jul 30 00:53:00 2016  begin with 25275723 relations and 24059978 unique ideals
  166. Sat Jul 30 00:53:06 2016  reduce to 25275628 relations and 24016101 ideals in 4 passes
  167. Sat Jul 30 00:53:06 2016  max relations containing the same ideal: 54
  168. Sat Jul 30 00:53:10 2016  relations with 0 large ideals: 41205
  169. Sat Jul 30 00:53:10 2016  relations with 1 large ideals: 42233
  170. Sat Jul 30 00:53:10 2016  relations with 2 large ideals: 456015
  171. Sat Jul 30 00:53:10 2016  relations with 3 large ideals: 2094805
  172. Sat Jul 30 00:53:10 2016  relations with 4 large ideals: 5006557
  173. Sat Jul 30 00:53:10 2016  relations with 5 large ideals: 6945148
  174. Sat Jul 30 00:53:10 2016  relations with 6 large ideals: 5900959
  175. Sat Jul 30 00:53:10 2016  relations with 7+ large ideals: 4788706
  176. Sat Jul 30 00:53:10 2016  commencing 2-way merge
  177. Sat Jul 30 00:53:23 2016  reduce to 17323268 relation sets and 16063741 unique ideals
  178. Sat Jul 30 00:53:23 2016  commencing full merge
  179. Sat Jul 30 00:59:21 2016  memory use: 2026.8 MB
  180. Sat Jul 30 00:59:24 2016  found 7533466 cycles, need 7469941
  181. Sat Jul 30 00:59:25 2016  weight of 7469941 cycles is about 971966465 (130.12/cycle)
  182. Sat Jul 30 00:59:25 2016  distribution of cycle lengths:
  183. Sat Jul 30 00:59:25 2016  1 relations: 183433
  184. Sat Jul 30 00:59:25 2016  2 relations: 320218
  185. Sat Jul 30 00:59:25 2016  3 relations: 419256
  186. Sat Jul 30 00:59:25 2016  4 relations: 469332
  187. Sat Jul 30 00:59:25 2016  5 relations: 509470
  188. Sat Jul 30 00:59:25 2016  6 relations: 526960
  189. Sat Jul 30 00:59:25 2016  7 relations: 538893
  190. Sat Jul 30 00:59:25 2016  8 relations: 527426
  191. Sat Jul 30 00:59:25 2016  9 relations: 509171
  192. Sat Jul 30 00:59:25 2016  10+ relations: 3465782
  193. Sat Jul 30 00:59:25 2016  heaviest cycle: 28 relations
  194. Sat Jul 30 00:59:27 2016  commencing cycle optimization
  195. Sat Jul 30 00:59:44 2016  start with 73118583 relations
  196. Sat Jul 30 01:03:00 2016  pruned 4191469 relations
  197. Sat Jul 30 01:03:00 2016  memory use: 1793.2 MB
  198. Sat Jul 30 01:03:00 2016  distribution of cycle lengths:
  199. Sat Jul 30 01:03:00 2016  1 relations: 183433
  200. Sat Jul 30 01:03:00 2016  2 relations: 329503
  201. Sat Jul 30 01:03:00 2016  3 relations: 439206
  202. Sat Jul 30 01:03:00 2016  4 relations: 493384
  203. Sat Jul 30 01:03:00 2016  5 relations: 541740
  204. Sat Jul 30 01:03:00 2016  6 relations: 562260
  205. Sat Jul 30 01:03:00 2016  7 relations: 578284
  206. Sat Jul 30 01:03:00 2016  8 relations: 565759
  207. Sat Jul 30 01:03:00 2016  9 relations: 545422
  208. Sat Jul 30 01:03:00 2016  10+ relations: 3230950
  209. Sat Jul 30 01:03:00 2016  heaviest cycle: 28 relations
  210. Sat Jul 30 01:03:15 2016  RelProcTime: 6332
  211. Sat Jul 30 01:03:15 2016  
  212. Sat Jul 30 01:03:15 2016  commencing linear algebra
  213. Sat Jul 30 01:03:16 2016  read 7469941 cycles
  214. Sat Jul 30 01:03:32 2016  cycles contain 24723836 unique relations
  215. Sat Jul 30 01:08:00 2016  read 24723836 relations
  216. Sat Jul 30 01:08:50 2016  using 20 quadratic characters above 4294917295
  217. Sat Jul 30 01:10:19 2016  building initial matrix
  218. Sat Jul 30 01:15:02 2016  memory use: 3127.8 MB
  219. Sat Jul 30 01:15:09 2016  read 7469941 cycles
  220. Sat Jul 30 01:15:09 2016  matrix is 7469764 x 7469941 (3736.7 MB) with weight 1068354344 (143.02/col)
  221. Sat Jul 30 01:15:09 2016  sparse part has weight 897384168 (120.13/col)
  222. Sat Jul 30 01:16:48 2016  filtering completed in 2 passes
  223. Sat Jul 30 01:16:49 2016  matrix is 7469594 x 7469771 (3736.7 MB) with weight 1068347455 (143.02/col)
  224. Sat Jul 30 01:16:49 2016  sparse part has weight 897381357 (120.14/col)
  225. Sat Jul 30 01:17:17 2016  matrix starts at (0, 0)
  226. Sat Jul 30 01:17:17 2016  matrix is 7469594 x 7469771 (3736.7 MB) with weight 1068347455 (143.02/col)
  227. Sat Jul 30 01:17:17 2016  sparse part has weight 897381357 (120.14/col)
  228. Sat Jul 30 01:17:17 2016  saving the first 48 matrix rows for later
  229. Sat Jul 30 01:17:19 2016  matrix includes 64 packed rows
  230. Sat Jul 30 01:17:19 2016  matrix is 7469546 x 7469771 (3582.4 MB) with weight 929150869 (124.39/col)
  231. Sat Jul 30 01:17:19 2016  sparse part has weight 864414531 (115.72/col)
  232. Sat Jul 30 01:17:19 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  233. Sat Jul 30 01:18:06 2016  commencing Lanczos iteration (6 threads)
  234. Sat Jul 30 01:18:06 2016  memory use: 3041.9 MB
  235. Sat Jul 30 01:18:26 2016  linear algebra at 0.0%, ETA 25h55m
  236. Sat Jul 30 01:18:33 2016  checkpointing every 290000 dimensions
  237. Sun Jul 31 03:49:57 2016  lanczos halted after 118121 iterations (dim = 7469546)
  238. Sun Jul 31 03:50:04 2016  recovered 38 nontrivial dependencies
  239. Sun Jul 31 03:50:05 2016  BLanczosTime: 96410
  240. Sun Jul 31 03:50:05 2016  
  241. Sun Jul 31 03:50:05 2016  commencing square root phase
  242. Sun Jul 31 03:50:05 2016  handling dependencies 1 to 64
  243. Sun Jul 31 03:50:05 2016  reading relations for dependency 1
  244. Sun Jul 31 03:50:07 2016  read 3734806 cycles
  245. Sun Jul 31 03:50:14 2016  cycles contain 12357790 unique relations
  246. Sun Jul 31 03:53:49 2016  read 12357790 relations
  247. Sun Jul 31 03:54:39 2016  multiplying 12357790 relations
  248. Sun Jul 31 04:03:30 2016  multiply complete, coefficients have about 349.06 million bits
  249. Sun Jul 31 04:03:31 2016  initial square root is modulo 1833343
  250. Sun Jul 31 04:12:19 2016  sqrtTime: 1334
  251. Sun Jul 31 04:12:19 2016  p69 factor: 288274171570584200993582970066096099209978806297988519752535638962851
  252. Sun Jul 31 04:12:19 2016  p149 factor: 92983563028376469203048316484756159786510143489518337992905921024130950616717611580084850587878046438362208216847133416379642761708680718676864856837
  253. Sun Jul 31 04:12:19 2016  elapsed time 28:54:39
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