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W_2_786

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Dec 6th, 2015
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  1. Fri Apr 11 00:11:22 2014
  2. Fri Apr 11 00:11:22 2014
  3. Fri Apr 11 00:11:22 2014 Msieve v. 1.52 (SVN unknown)
  4. Fri Apr 11 00:11:22 2014 random seeds: 809ce728 19b53152
  5. Fri Apr 11 00:11:22 2014 factoring 169057743827303671565092820111614076529175983942198248153119796048011988195201593165620309564311821507470708004854076627846594687855326014112795550586203149908731014740044703611266834525882361682738001493136606726669 (216 digits)
  6. Fri Apr 11 00:11:24 2014 no P-1/P+1/ECM available, skipping
  7. Fri Apr 11 00:11:24 2014 commencing number field sieve (216-digit input)
  8. Fri Apr 11 00:11:24 2014 R0: -2722258935367507707706996859454145691648
  9. Fri Apr 11 00:11:24 2014 R1: 1
  10. Fri Apr 11 00:11:24 2014 A0: -1
  11. Fri Apr 11 00:11:24 2014 A1: 0
  12. Fri Apr 11 00:11:24 2014 A2: 0
  13. Fri Apr 11 00:11:24 2014 A3: 0
  14. Fri Apr 11 00:11:24 2014 A4: 0
  15. Fri Apr 11 00:11:24 2014 A5: 0
  16. Fri Apr 11 00:11:24 2014 A6: 786
  17. Fri Apr 11 00:11:24 2014 skew 1.00, size 7.546e-012, alpha 0.124, combined = 5.012e-013 rroots = 2
  18. Fri Apr 11 00:11:24 2014
  19. Fri Apr 11 00:11:24 2014 commencing relation filtering
  20. Fri Apr 11 00:11:24 2014 setting target matrix density to 112.0
  21. Fri Apr 11 00:11:24 2014 estimated available RAM is 16335.3 MB
  22. Fri Apr 11 00:11:24 2014 commencing duplicate removal, pass 1
  23. Fri Apr 11 00:11:42 2014 error -9 reading relation 1347637
  24. Fri Apr 11 00:11:43 2014 error -9 reading relation 1370165
  25. Fri Apr 11 00:13:15 2014 error -9 reading relation 9038335
  26. Fri Apr 11 00:13:15 2014 error -15 reading relation 9040717
  27. Fri Apr 11 00:13:15 2014 error -9 reading relation 9044031
  28. Fri Apr 11 00:13:15 2014 error -15 reading relation 9044613
  29. Fri Apr 11 00:13:15 2014 error -9 reading relation 9045128
  30. Fri Apr 11 00:13:23 2014 error -9 reading relation 9903986
  31. Fri Apr 11 00:13:35 2014 error -15 reading relation 11188302
  32. Fri Apr 11 00:13:36 2014 error -5 reading relation 11222062
  33. Fri Apr 11 00:13:41 2014 error -9 reading relation 11592195
  34. Fri Apr 11 00:14:10 2014 error -9 reading relation 14100616
  35. Fri Apr 11 00:14:54 2014 error -9 reading relation 17760426
  36. Fri Apr 11 00:14:59 2014 error -1 reading relation 18077327
  37. Fri Apr 11 00:15:02 2014 error -9 reading relation 18314454
  38. Fri Apr 11 00:15:08 2014 error -15 reading relation 18755443
  39. Fri Apr 11 00:15:13 2014 error -9 reading relation 19263967
  40. Fri Apr 11 00:15:56 2014 error -15 reading relation 23348019
  41. Fri Apr 11 00:16:01 2014 error -9 reading relation 23704664
  42. Fri Apr 11 00:16:19 2014 error -15 reading relation 25045922
  43. Fri Apr 11 00:16:36 2014 error -9 reading relation 26222166
  44. Fri Apr 11 00:17:02 2014 error -15 reading relation 28100731
  45. Fri Apr 11 00:17:07 2014 error -15 reading relation 28492638
  46. Fri Apr 11 00:17:10 2014 error -15 reading relation 28700351
  47. Fri Apr 11 00:17:26 2014 error -15 reading relation 29790662
  48. Fri Apr 11 00:17:28 2014 error -9 reading relation 29972330
  49. Fri Apr 11 00:18:48 2014 error -15 reading relation 36584202
  50. Fri Apr 11 00:20:47 2014 error -9 reading relation 45939966
  51. Fri Apr 11 00:21:02 2014 error -15 reading relation 47488530
  52. Fri Apr 11 00:21:14 2014 error -15 reading relation 48730564
  53. Fri Apr 11 00:21:29 2014 error -15 reading relation 50173906
  54. Fri Apr 11 00:21:38 2014 error -15 reading relation 51050864
  55. Fri Apr 11 00:22:11 2014 error -11 reading relation 54408563
  56. Fri Apr 11 00:22:54 2014 error -15 reading relation 58712030
  57. Fri Apr 11 00:23:09 2014 error -15 reading relation 60243769
  58. Fri Apr 11 00:23:09 2014 error -9 reading relation 60245466
  59. Fri Apr 11 00:23:09 2014 error -5 reading relation 60256854
  60. Fri Apr 11 00:23:16 2014 error -15 reading relation 61016582
  61. Fri Apr 11 00:23:17 2014 error -15 reading relation 61129316
  62. Fri Apr 11 00:23:24 2014 error -9 reading relation 61780688
  63. Fri Apr 11 00:23:25 2014 error -15 reading relation 61883501
  64. Fri Apr 11 00:23:27 2014 error -9 reading relation 62145134
  65. Fri Apr 11 00:23:33 2014 error -15 reading relation 62698625
  66. Fri Apr 11 00:24:08 2014 error -9 reading relation 66412508
  67. Fri Apr 11 00:24:08 2014 error -15 reading relation 66427528
  68. Fri Apr 11 00:24:09 2014 error -15 reading relation 66461409
  69. Fri Apr 11 00:24:17 2014 error -9 reading relation 67356433
  70. Fri Apr 11 00:24:17 2014 error -1 reading relation 67365582
  71. Fri Apr 11 00:24:17 2014 error -1 reading relation 67379268
  72. Fri Apr 11 00:24:18 2014 error -9 reading relation 67472935
  73. Fri Apr 11 00:24:19 2014 error -1 reading relation 67524851
  74. Fri Apr 11 00:24:20 2014 error -9 reading relation 67616587
  75. Fri Apr 11 00:24:20 2014 error -9 reading relation 67641031
  76. Fri Apr 11 00:24:20 2014 error -15 reading relation 67698271
  77. Fri Apr 11 00:24:23 2014 error -5 reading relation 67990865
  78. Fri Apr 11 00:24:26 2014 error -15 reading relation 68258368
  79. Fri Apr 11 00:24:34 2014 error -15 reading relation 69092843
  80. Fri Apr 11 00:24:34 2014 error -9 reading relation 69105496
  81. Fri Apr 11 00:24:40 2014 error -15 reading relation 69787076
  82. Fri Apr 11 00:24:58 2014 error -9 reading relation 71644407
  83. Fri Apr 11 00:25:13 2014 error -9 reading relation 73108629
  84. Fri Apr 11 00:25:13 2014 error -9 reading relation 73179512
  85. Fri Apr 11 00:25:21 2014 error -15 reading relation 73994405
  86. Fri Apr 11 00:25:32 2014 error -15 reading relation 75011732
  87. Fri Apr 11 00:25:33 2014 error -9 reading relation 75110175
  88. Fri Apr 11 00:25:51 2014 error -9 reading relation 76950285
  89. Fri Apr 11 00:26:27 2014 error -15 reading relation 80573473
  90. Fri Apr 11 00:26:33 2014 error -9 reading relation 81151624
  91. Fri Apr 11 00:26:35 2014 error -15 reading relation 81412138
  92. Fri Apr 11 00:27:09 2014 error -9 reading relation 84816438
  93. Fri Apr 11 00:27:23 2014 error -1 reading relation 86234634
  94. Fri Apr 11 00:27:23 2014 error -15 reading relation 86234908
  95. Fri Apr 11 00:27:46 2014 error -9 reading relation 88484114
  96. Fri Apr 11 00:27:55 2014 error -15 reading relation 89405967
  97. Fri Apr 11 00:27:55 2014 error -9 reading relation 89410180
  98. Fri Apr 11 00:27:58 2014 error -15 reading relation 89764214
  99. Fri Apr 11 00:27:58 2014 error -9 reading relation 89768594
  100. Fri Apr 11 00:28:09 2014 error -9 reading relation 90766007
  101. Fri Apr 11 00:29:42 2014 error -9 reading relation 100033121
  102. Fri Apr 11 00:29:59 2014 error -9 reading relation 101707353
  103. Fri Apr 11 00:30:23 2014 error -15 reading relation 104076246
  104. Fri Apr 11 00:31:47 2014 error -15 reading relation 112373403
  105. Fri Apr 11 00:31:55 2014 error -9 reading relation 113231416
  106. Fri Apr 11 00:31:56 2014 error -1 reading relation 113294238
  107. Fri Apr 11 00:31:57 2014 error -9 reading relation 113354569
  108. Fri Apr 11 00:31:58 2014 error -15 reading relation 113453894
  109. Fri Apr 11 00:32:00 2014 error -9 reading relation 113627460
  110. Fri Apr 11 00:32:00 2014 error -5 reading relation 113638657
  111. Fri Apr 11 00:32:01 2014 error -15 reading relation 113724924
  112. Fri Apr 11 00:32:06 2014 error -9 reading relation 114224370
  113. Fri Apr 11 00:32:09 2014 error -1 reading relation 114554923
  114. Fri Apr 11 00:32:10 2014 error -9 reading relation 114652862
  115. Fri Apr 11 00:32:14 2014 error -1 reading relation 115081454
  116. Fri Apr 11 00:32:20 2014 error -5 reading relation 115647558
  117. Fri Apr 11 00:32:22 2014 error -15 reading relation 115804758
  118. Fri Apr 11 00:33:01 2014 error -5 reading relation 119899314
  119. Fri Apr 11 00:33:03 2014 error -9 reading relation 120070971
  120. Fri Apr 11 00:33:06 2014 skipped 106 relations with b > 2^32
  121. Fri Apr 11 00:33:06 2014 found 25027531 hash collisions in 120457848 relations
  122. Fri Apr 11 00:33:35 2014 added 1216835 free relations
  123. Fri Apr 11 00:33:35 2014 commencing duplicate removal, pass 2
  124. Fri Apr 11 00:35:28 2014 found 25107075 duplicates and 96567608 unique relations
  125. Fri Apr 11 00:35:28 2014 memory use: 660.8 MB
  126. Fri Apr 11 00:35:29 2014 reading ideals above 110297088
  127. Fri Apr 11 00:35:29 2014 commencing singleton removal, initial pass
  128. Fri Apr 11 00:53:14 2014 memory use: 1506.0 MB
  129. Fri Apr 11 00:53:14 2014 reading all ideals from disk
  130. Fri Apr 11 00:53:15 2014 memory use: 1617.3 MB
  131. Fri Apr 11 00:53:18 2014 commencing in-memory singleton removal
  132. Fri Apr 11 00:53:21 2014 begin with 96567608 relations and 79044148 unique ideals
  133. Fri Apr 11 00:53:57 2014 reduce to 61754772 relations and 40617666 ideals in 15 passes
  134. Fri Apr 11 00:53:57 2014 max relations containing the same ideal: 32
  135. Fri Apr 11 00:54:01 2014 reading ideals above 720000
  136. Fri Apr 11 00:54:02 2014 commencing singleton removal, initial pass
  137. Fri Apr 11 01:10:20 2014 memory use: 1378.0 MB
  138. Fri Apr 11 01:10:20 2014 reading all ideals from disk
  139. Fri Apr 11 01:10:37 2014 memory use: 2368.3 MB
  140. Fri Apr 11 01:10:43 2014 keeping 52925954 ideals with weight <= 200, target excess is 320325
  141. Fri Apr 11 01:10:49 2014 commencing in-memory singleton removal
  142. Fri Apr 11 01:10:54 2014 begin with 61754772 relations and 52925954 unique ideals
  143. Fri Apr 11 01:11:48 2014 reduce to 61729888 relations and 52901052 ideals in 10 passes
  144. Fri Apr 11 01:11:48 2014 max relations containing the same ideal: 200
  145. Fri Apr 11 01:12:16 2014 removing 5657254 relations and 4657254 ideals in 1000000 cliques
  146. Fri Apr 11 01:12:17 2014 commencing in-memory singleton removal
  147. Fri Apr 11 01:12:22 2014 begin with 56072634 relations and 52901052 unique ideals
  148. Fri Apr 11 01:13:01 2014 reduce to 55673353 relations and 47836372 ideals in 8 passes
  149. Fri Apr 11 01:13:01 2014 max relations containing the same ideal: 195
  150. Fri Apr 11 01:13:25 2014 removing 4357136 relations and 3357136 ideals in 1000000 cliques
  151. Fri Apr 11 01:13:27 2014 commencing in-memory singleton removal
  152. Fri Apr 11 01:13:31 2014 begin with 51316217 relations and 47836372 unique ideals
  153. Fri Apr 11 01:14:02 2014 reduce to 51052946 relations and 44211230 ideals in 7 passes
  154. Fri Apr 11 01:14:02 2014 max relations containing the same ideal: 187
  155. Fri Apr 11 01:14:25 2014 removing 3960105 relations and 2960105 ideals in 1000000 cliques
  156. Fri Apr 11 01:14:26 2014 commencing in-memory singleton removal
  157. Fri Apr 11 01:14:30 2014 begin with 47092841 relations and 44211230 unique ideals
  158. Fri Apr 11 01:14:58 2014 reduce to 46860797 relations and 41014861 ideals in 7 passes
  159. Fri Apr 11 01:14:58 2014 max relations containing the same ideal: 175
  160. Fri Apr 11 01:15:19 2014 removing 3745198 relations and 2745198 ideals in 1000000 cliques
  161. Fri Apr 11 01:15:20 2014 commencing in-memory singleton removal
  162. Fri Apr 11 01:15:23 2014 begin with 43115599 relations and 41014861 unique ideals
  163. Fri Apr 11 01:15:49 2014 reduce to 42896918 relations and 38046814 ideals in 7 passes
  164. Fri Apr 11 01:15:49 2014 max relations containing the same ideal: 168
  165. Fri Apr 11 01:16:09 2014 removing 3611139 relations and 2611139 ideals in 1000000 cliques
  166. Fri Apr 11 01:16:10 2014 commencing in-memory singleton removal
  167. Fri Apr 11 01:16:13 2014 begin with 39285779 relations and 38046814 unique ideals
  168. Fri Apr 11 01:16:33 2014 reduce to 39070371 relations and 35215814 ideals in 6 passes
  169. Fri Apr 11 01:16:33 2014 max relations containing the same ideal: 161
  170. Fri Apr 11 01:16:50 2014 removing 3517669 relations and 2517669 ideals in 1000000 cliques
  171. Fri Apr 11 01:16:51 2014 commencing in-memory singleton removal
  172. Fri Apr 11 01:16:54 2014 begin with 35552702 relations and 35215814 unique ideals
  173. Fri Apr 11 01:17:12 2014 reduce to 35332711 relations and 32473332 ideals in 6 passes
  174. Fri Apr 11 01:17:12 2014 max relations containing the same ideal: 152
  175. Fri Apr 11 01:17:28 2014 removing 3449142 relations and 2449142 ideals in 1000000 cliques
  176. Fri Apr 11 01:17:29 2014 commencing in-memory singleton removal
  177. Fri Apr 11 01:17:32 2014 begin with 31883569 relations and 32473332 unique ideals
  178. Fri Apr 11 01:17:51 2014 reduce to 31650400 relations and 29785483 ideals in 7 passes
  179. Fri Apr 11 01:17:51 2014 max relations containing the same ideal: 140
  180. Fri Apr 11 01:18:05 2014 removing 3408174 relations and 2408174 ideals in 1000000 cliques
  181. Fri Apr 11 01:18:06 2014 commencing in-memory singleton removal
  182. Fri Apr 11 01:18:08 2014 begin with 28242226 relations and 29785483 unique ideals
  183. Fri Apr 11 01:18:25 2014 reduce to 27986555 relations and 27114711 ideals in 7 passes
  184. Fri Apr 11 01:18:25 2014 max relations containing the same ideal: 125
  185. Fri Apr 11 01:18:37 2014 removing 1934165 relations and 1433899 ideals in 500266 cliques
  186. Fri Apr 11 01:18:38 2014 commencing in-memory singleton removal
  187. Fri Apr 11 01:18:40 2014 begin with 26052390 relations and 27114711 unique ideals
  188. Fri Apr 11 01:18:55 2014 reduce to 25961206 relations and 25588215 ideals in 7 passes
  189. Fri Apr 11 01:18:55 2014 max relations containing the same ideal: 120
  190. Fri Apr 11 01:19:11 2014 relations with 0 large ideals: 12196
  191. Fri Apr 11 01:19:11 2014 relations with 1 large ideals: 2337
  192. Fri Apr 11 01:19:11 2014 relations with 2 large ideals: 29778
  193. Fri Apr 11 01:19:11 2014 relations with 3 large ideals: 252908
  194. Fri Apr 11 01:19:11 2014 relations with 4 large ideals: 1187527
  195. Fri Apr 11 01:19:11 2014 relations with 5 large ideals: 3362819
  196. Fri Apr 11 01:19:11 2014 relations with 6 large ideals: 6013395
  197. Fri Apr 11 01:19:11 2014 relations with 7+ large ideals: 15100246
  198. Fri Apr 11 01:19:11 2014 commencing 2-way merge
  199. Fri Apr 11 01:19:27 2014 reduce to 17733463 relation sets and 17360472 unique ideals
  200. Fri Apr 11 01:19:27 2014 commencing full merge
  201. Fri Apr 11 01:26:48 2014 memory use: 2304.1 MB
  202. Fri Apr 11 01:26:50 2014 found 8147258 cycles, need 8124672
  203. Fri Apr 11 01:26:51 2014 weight of 8124672 cycles is about 910082537 (112.01/cycle)
  204. Fri Apr 11 01:26:51 2014 distribution of cycle lengths:
  205. Fri Apr 11 01:26:51 2014 1 relations: 335547
  206. Fri Apr 11 01:26:51 2014 2 relations: 527457
  207. Fri Apr 11 01:26:51 2014 3 relations: 629313
  208. Fri Apr 11 01:26:51 2014 4 relations: 650709
  209. Fri Apr 11 01:26:51 2014 5 relations: 660752
  210. Fri Apr 11 01:26:51 2014 6 relations: 643765
  211. Fri Apr 11 01:26:51 2014 7 relations: 622232
  212. Fri Apr 11 01:26:51 2014 8 relations: 582882
  213. Fri Apr 11 01:26:51 2014 9 relations: 539485
  214. Fri Apr 11 01:26:51 2014 10+ relations: 2932530
  215. Fri Apr 11 01:26:51 2014 heaviest cycle: 28 relations
  216. Fri Apr 11 01:26:52 2014 commencing cycle optimization
  217. Fri Apr 11 01:27:06 2014 start with 67864008 relations
  218. Fri Apr 11 01:30:14 2014 pruned 3117208 relations
  219. Fri Apr 11 01:30:14 2014 memory use: 1787.7 MB
  220. Fri Apr 11 01:30:14 2014 distribution of cycle lengths:
  221. Fri Apr 11 01:30:14 2014 1 relations: 335547
  222. Fri Apr 11 01:30:14 2014 2 relations: 541177
  223. Fri Apr 11 01:30:14 2014 3 relations: 658329
  224. Fri Apr 11 01:30:14 2014 4 relations: 678936
  225. Fri Apr 11 01:30:14 2014 5 relations: 694952
  226. Fri Apr 11 01:30:14 2014 6 relations: 675297
  227. Fri Apr 11 01:30:14 2014 7 relations: 653123
  228. Fri Apr 11 01:30:14 2014 8 relations: 608601
  229. Fri Apr 11 01:30:14 2014 9 relations: 561102
  230. Fri Apr 11 01:30:14 2014 10+ relations: 2717608
  231. Fri Apr 11 01:30:14 2014 heaviest cycle: 28 relations
  232. Fri Apr 11 01:30:28 2014 RelProcTime: 4744
  233. Fri Apr 11 01:30:29 2014
  234. Fri Apr 11 01:30:29 2014 commencing linear algebra
  235. Fri Apr 11 01:30:30 2014 read 8124672 cycles
  236. Fri Apr 11 01:30:47 2014 cycles contain 25765192 unique relations
  237. Fri Apr 11 01:35:51 2014 read 25765192 relations
  238. Fri Apr 11 01:36:39 2014 using 20 quadratic characters above 1073741528
  239. Fri Apr 11 01:38:35 2014 building initial matrix
  240. Fri Apr 11 01:44:17 2014 memory use: 3427.0 MB
  241. Fri Apr 11 01:44:27 2014 read 8124672 cycles
  242. Fri Apr 11 01:44:30 2014 matrix is 8124495 x 8124672 (3582.7 MB) with weight 1048833766 (129.09/col)
  243. Fri Apr 11 01:44:30 2014 sparse part has weight 849812772 (104.60/col)
  244. Fri Apr 11 01:46:09 2014 filtering completed in 2 passes
  245. Fri Apr 11 01:46:12 2014 matrix is 8124397 x 8124574 (3582.7 MB) with weight 1048830067 (129.09/col)
  246. Fri Apr 11 01:46:12 2014 sparse part has weight 849811561 (104.60/col)
  247. Fri Apr 11 01:46:53 2014 matrix starts at (0, 0)
  248. Fri Apr 11 01:46:55 2014 matrix is 8124397 x 8124574 (3582.7 MB) with weight 1048830067 (129.09/col)
  249. Fri Apr 11 01:46:55 2014 sparse part has weight 849811561 (104.60/col)
  250. Fri Apr 11 01:46:55 2014 saving the first 48 matrix rows for later
  251. Fri Apr 11 01:46:58 2014 matrix includes 64 packed rows
  252. Fri Apr 11 01:46:59 2014 matrix is 8124349 x 8124574 (3433.6 MB) with weight 884025253 (108.81/col)
  253. Fri Apr 11 01:46:59 2014 sparse part has weight 818841318 (100.79/col)
  254. Fri Apr 11 01:47:00 2014 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  255. Fri Apr 11 01:47:46 2014 commencing Lanczos iteration (4 threads)
  256. Fri Apr 11 01:47:46 2014 memory use: 2894.2 MB
  257. Fri Apr 11 01:48:36 2014 linear algebra at 0.0%, ETA 71h29m
  258. Fri Apr 11 01:48:51 2014 checkpointing every 120000 dimensions
  259. Sun Apr 13 05:07:25 2014 lanczos halted after 128477 iterations (dim = 8124346)
  260. Sun Apr 13 05:07:40 2014 recovered 35 nontrivial dependencies
  261. Sun Apr 13 05:07:45 2014 BLanczosTime: 185836
  262. Sun Apr 13 05:07:45 2014
  263. Sun Apr 13 05:07:45 2014 commencing square root phase
  264. Sun Apr 13 05:07:45 2014 handling dependencies 1 to 64
  265. Sun Apr 13 05:07:45 2014 reading relations for dependency 1
  266. Sun Apr 13 05:07:48 2014 read 4064163 cycles
  267. Sun Apr 13 05:07:55 2014 cycles contain 12889304 unique relations
  268. Sun Apr 13 05:10:44 2014 read 12889304 relations
  269. Sun Apr 13 05:11:53 2014 multiplying 12889304 relations
  270. Sun Apr 13 05:25:21 2014 multiply complete, coefficients have about 432.81 million bits
  271. Sun Apr 13 05:25:25 2014 initial square root is modulo 58344673
  272. Sun Apr 13 05:42:58 2014 sqrtTime: 2113
  273. Sun Apr 13 05:42:58 2014 prp106 factor: 2166936826334501904543378459098638449698085348702150683129431042423531519500833149427815612641620482832477
  274. Sun Apr 13 05:42:58 2014 prp110 factor: 78016923139044415403953308853644402491282336546220678503042030141890040036096730827922197878151163903974653297
  275. Sun Apr 13 05:42:58 2014 elapsed time 53:31:36
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