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Aug 21st, 2016
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  1. Fri Aug 19 09:43:10 2016
  2. Fri Aug 19 09:43:10 2016
  3. Fri Aug 19 09:43:10 2016 Msieve v. 1.53 (SVN 988M)
  4. Fri Aug 19 09:43:10 2016 random seeds: faaf28de f41596de
  5. Fri Aug 19 09:43:10 2016 factoring 3207495269665192154249066581492053284697245034998003038802586902439561581478076259483793671590035446141057252054384713358651280058940193146076833547936233307837714184008959454837203600238553010586117221143073689 (211 digits)
  6. Fri Aug 19 09:43:11 2016 searching for 15-digit factors
  7. Fri Aug 19 09:43:13 2016 commencing number field sieve (211-digit input)
  8. Fri Aug 19 09:43:13 2016 R0: 624931990990842127748277129373
  9. Fri Aug 19 09:43:13 2016 R1: -256378676868573301455838684793773426688
  10. Fri Aug 19 09:43:13 2016 A0: 707281
  11. Fri Aug 19 09:43:13 2016 A1: 0
  12. Fri Aug 19 09:43:13 2016 A2: 0
  13. Fri Aug 19 09:43:13 2016 A3: 0
  14. Fri Aug 19 09:43:13 2016 A4: 0
  15. Fri Aug 19 09:43:13 2016 A5: 0
  16. Fri Aug 19 09:43:13 2016 A6: 5476
  17. Fri Aug 19 09:43:13 2016 skew 2.25, size 1.689e-12, alpha -0.184, combined = 1.847e-13 rroots = 0
  18. Fri Aug 19 09:43:13 2016
  19. Fri Aug 19 09:43:13 2016 commencing relation filtering
  20. Fri Aug 19 09:43:13 2016 setting target matrix density to 130.0
  21. Fri Aug 19 09:43:13 2016 estimated available RAM is 65536.0 MB
  22. Fri Aug 19 09:43:13 2016 commencing duplicate removal, pass 1
  23. Fri Aug 19 09:49:32 2016 error -9 reading relation 45980463
  24. Fri Aug 19 09:53:41 2016 error -5 reading relation 76212768
  25. Fri Aug 19 09:53:49 2016 error -15 reading relation 77196866
  26. Fri Aug 19 09:53:49 2016 error -15 reading relation 77196903
  27. Fri Aug 19 09:53:52 2016 error -11 reading relation 77525422
  28. Fri Aug 19 09:53:52 2016 error -9 reading relation 77525460
  29. Fri Aug 19 09:56:27 2016 error -15 reading relation 96288423
  30. Fri Aug 19 09:56:30 2016 error -15 reading relation 96619269
  31. Fri Aug 19 09:56:32 2016 error -15 reading relation 96823829
  32. Fri Aug 19 09:56:33 2016 error -9 reading relation 96982460
  33. Fri Aug 19 09:56:33 2016 error -9 reading relation 96982497
  34. Fri Aug 19 10:00:32 2016 error -9 reading relation 125860128
  35. Fri Aug 19 10:04:39 2016 error -15 reading relation 155592413
  36. Fri Aug 19 10:04:53 2016 error -15 reading relation 157307570
  37. Fri Aug 19 10:07:58 2016 error -15 reading relation 179523594
  38. Fri Aug 19 10:08:04 2016 error -15 reading relation 180230761
  39. Fri Aug 19 10:11:18 2016 error -5 reading relation 203347012
  40. Fri Aug 19 10:11:18 2016 error -9 reading relation 203440764
  41. Fri Aug 19 10:12:34 2016 error -15 reading relation 212524204
  42. Fri Aug 19 10:13:23 2016 error -9 reading relation 218356985
  43. Fri Aug 19 10:13:24 2016 error -15 reading relation 218509977
  44. Fri Aug 19 10:13:24 2016 error -9 reading relation 218518355
  45. Fri Aug 19 10:13:27 2016 error -15 reading relation 218835593
  46. Fri Aug 19 10:13:28 2016 error -9 reading relation 218963288
  47. Fri Aug 19 10:13:32 2016 error -15 reading relation 219482225
  48. Fri Aug 19 10:13:32 2016 error -1 reading relation 219485736
  49. Fri Aug 19 10:13:33 2016 error -9 reading relation 219608067
  50. Fri Aug 19 10:15:23 2016 error -5 reading relation 232863696
  51. Fri Aug 19 10:15:25 2016 error -15 reading relation 233047387
  52. Fri Aug 19 10:16:29 2016 error -15 reading relation 240708335
  53. Fri Aug 19 10:16:36 2016 skipped 41 relations with b > 2^32
  54. Fri Aug 19 10:16:36 2016 skipped 25 relations with composite factors
  55. Fri Aug 19 10:16:36 2016 found 54344552 hash collisions in 241523430 relations
  56. Fri Aug 19 10:16:52 2016 added 1218531 free relations
  57. Fri Aug 19 10:16:52 2016 commencing duplicate removal, pass 2
  58. Fri Aug 19 10:21:03 2016 found 56819847 duplicates and 185922114 unique relations
  59. Fri Aug 19 10:21:03 2016 memory use: 1321.5 MB
  60. Fri Aug 19 10:21:03 2016 reading ideals above 720000
  61. Fri Aug 19 10:21:03 2016 commencing singleton removal, initial pass
  62. Fri Aug 19 10:46:26 2016 memory use: 5512.0 MB
  63. Fri Aug 19 10:46:27 2016 reading all ideals from disk
  64. Fri Aug 19 10:46:31 2016 memory use: 7347.6 MB
  65. Fri Aug 19 10:46:53 2016 keeping 173136560 ideals with weight <= 200, target excess is 949907
  66. Fri Aug 19 10:47:17 2016 commencing in-memory singleton removal
  67. Fri Aug 19 10:47:34 2016 begin with 185922114 relations and 173136560 unique ideals
  68. Fri Aug 19 10:50:34 2016 reduce to 116077890 relations and 95715130 ideals in 15 passes
  69. Fri Aug 19 10:50:36 2016 max relations containing the same ideal: 155
  70. Fri Aug 19 10:51:31 2016 removing 11147102 relations and 9147102 ideals in 2000000 cliques
  71. Fri Aug 19 10:51:37 2016 commencing in-memory singleton removal
  72. Fri Aug 19 10:51:46 2016 begin with 104930788 relations and 95715130 unique ideals
  73. Fri Aug 19 10:53:07 2016 reduce to 104181075 relations and 85802109 ideals in 8 passes
  74. Fri Aug 19 10:53:08 2016 max relations containing the same ideal: 143
  75. Fri Aug 19 10:53:57 2016 removing 8418808 relations and 6418808 ideals in 2000000 cliques
  76. Fri Aug 19 10:54:02 2016 commencing in-memory singleton removal
  77. Fri Aug 19 10:54:10 2016 begin with 95762267 relations and 85802109 unique ideals
  78. Fri Aug 19 10:55:14 2016 reduce to 95267920 relations and 78879808 ideals in 7 passes
  79. Fri Aug 19 10:55:14 2016 max relations containing the same ideal: 137
  80. Fri Aug 19 10:55:59 2016 removing 7586078 relations and 5586078 ideals in 2000000 cliques
  81. Fri Aug 19 10:56:02 2016 commencing in-memory singleton removal
  82. Fri Aug 19 10:56:09 2016 begin with 87681842 relations and 78879808 unique ideals
  83. Fri Aug 19 10:57:15 2016 reduce to 87250905 relations and 72854431 ideals in 8 passes
  84. Fri Aug 19 10:57:15 2016 max relations containing the same ideal: 127
  85. Fri Aug 19 10:57:55 2016 removing 7141391 relations and 5141391 ideals in 2000000 cliques
  86. Fri Aug 19 10:57:58 2016 commencing in-memory singleton removal
  87. Fri Aug 19 10:58:05 2016 begin with 80109514 relations and 72854431 unique ideals
  88. Fri Aug 19 10:58:57 2016 reduce to 79704244 relations and 67299520 ideals in 7 passes
  89. Fri Aug 19 10:58:59 2016 max relations containing the same ideal: 120
  90. Fri Aug 19 10:59:36 2016 removing 6852943 relations and 4852943 ideals in 2000000 cliques
  91. Fri Aug 19 10:59:39 2016 commencing in-memory singleton removal
  92. Fri Aug 19 10:59:45 2016 begin with 72851301 relations and 67299520 unique ideals
  93. Fri Aug 19 11:00:33 2016 reduce to 72457302 relations and 62043970 ideals in 7 passes
  94. Fri Aug 19 11:00:33 2016 max relations containing the same ideal: 113
  95. Fri Aug 19 11:01:07 2016 removing 6648000 relations and 4648000 ideals in 2000000 cliques
  96. Fri Aug 19 11:01:09 2016 commencing in-memory singleton removal
  97. Fri Aug 19 11:01:15 2016 begin with 65809302 relations and 62043970 unique ideals
  98. Fri Aug 19 11:01:57 2016 reduce to 65411870 relations and 56989333 ideals in 7 passes
  99. Fri Aug 19 11:01:57 2016 max relations containing the same ideal: 107
  100. Fri Aug 19 11:02:28 2016 removing 6502093 relations and 4502093 ideals in 2000000 cliques
  101. Fri Aug 19 11:02:30 2016 commencing in-memory singleton removal
  102. Fri Aug 19 11:02:35 2016 begin with 58909777 relations and 56989333 unique ideals
  103. Fri Aug 19 11:03:07 2016 reduce to 58492916 relations and 52059368 ideals in 6 passes
  104. Fri Aug 19 11:03:07 2016 max relations containing the same ideal: 101
  105. Fri Aug 19 11:03:34 2016 removing 6399596 relations and 4399596 ideals in 2000000 cliques
  106. Fri Aug 19 11:03:36 2016 commencing in-memory singleton removal
  107. Fri Aug 19 11:03:41 2016 begin with 52093320 relations and 52059368 unique ideals
  108. Fri Aug 19 11:04:13 2016 reduce to 51639552 relations and 47192757 ideals in 7 passes
  109. Fri Aug 19 11:04:13 2016 max relations containing the same ideal: 90
  110. Fri Aug 19 11:04:37 2016 removing 6344727 relations and 4344727 ideals in 2000000 cliques
  111. Fri Aug 19 11:04:39 2016 commencing in-memory singleton removal
  112. Fri Aug 19 11:04:43 2016 begin with 45294825 relations and 47192757 unique ideals
  113. Fri Aug 19 11:05:15 2016 reduce to 44776186 relations and 42312285 ideals in 8 passes
  114. Fri Aug 19 11:05:15 2016 max relations containing the same ideal: 80
  115. Fri Aug 19 11:05:35 2016 removing 4638127 relations and 3276119 ideals in 1362008 cliques
  116. Fri Aug 19 11:05:37 2016 commencing in-memory singleton removal
  117. Fri Aug 19 11:05:40 2016 begin with 40138059 relations and 42312285 unique ideals
  118. Fri Aug 19 11:06:08 2016 reduce to 39798160 relations and 38687269 ideals in 8 passes
  119. Fri Aug 19 11:06:08 2016 max relations containing the same ideal: 77
  120. Fri Aug 19 11:06:26 2016 removing 62936 relations and 53938 ideals in 8998 cliques
  121. Fri Aug 19 11:06:27 2016 commencing in-memory singleton removal
  122. Fri Aug 19 11:06:30 2016 begin with 39735224 relations and 38687269 unique ideals
  123. Fri Aug 19 11:06:41 2016 reduce to 39735160 relations and 38633267 ideals in 3 passes
  124. Fri Aug 19 11:06:41 2016 max relations containing the same ideal: 77
  125. Fri Aug 19 11:06:49 2016 relations with 0 large ideals: 33725
  126. Fri Aug 19 11:06:49 2016 relations with 1 large ideals: 28481
  127. Fri Aug 19 11:06:49 2016 relations with 2 large ideals: 296826
  128. Fri Aug 19 11:06:49 2016 relations with 3 large ideals: 1666677
  129. Fri Aug 19 11:06:49 2016 relations with 4 large ideals: 5091552
  130. Fri Aug 19 11:06:49 2016 relations with 5 large ideals: 9253654
  131. Fri Aug 19 11:06:49 2016 relations with 6 large ideals: 10524983
  132. Fri Aug 19 11:06:49 2016 relations with 7+ large ideals: 12839262
  133. Fri Aug 19 11:06:49 2016 commencing 2-way merge
  134. Fri Aug 19 11:07:15 2016 reduce to 27109842 relation sets and 26007949 unique ideals
  135. Fri Aug 19 11:07:15 2016 commencing full merge
  136. Fri Aug 19 11:18:04 2016 memory use: 3276.5 MB
  137. Fri Aug 19 11:18:11 2016 found 11661981 cycles, need 11652149
  138. Fri Aug 19 11:18:11 2016 weight of 11652149 cycles is about 1515127544 (130.03/cycle)
  139. Fri Aug 19 11:18:11 2016 distribution of cycle lengths:
  140. Fri Aug 19 11:18:11 2016 1 relations: 339655
  141. Fri Aug 19 11:18:11 2016 2 relations: 561203
  142. Fri Aug 19 11:18:11 2016 3 relations: 702602
  143. Fri Aug 19 11:18:11 2016 4 relations: 765430
  144. Fri Aug 19 11:18:11 2016 5 relations: 814871
  145. Fri Aug 19 11:18:11 2016 6 relations: 822554
  146. Fri Aug 19 11:18:11 2016 7 relations: 818526
  147. Fri Aug 19 11:18:11 2016 8 relations: 799764
  148. Fri Aug 19 11:18:11 2016 9 relations: 760776
  149. Fri Aug 19 11:18:11 2016 10+ relations: 5266768
  150. Fri Aug 19 11:18:11 2016 heaviest cycle: 28 relations
  151. Fri Aug 19 11:18:15 2016 commencing cycle optimization
  152. Fri Aug 19 11:18:44 2016 start with 112781714 relations
  153. Fri Aug 19 11:24:20 2016 pruned 5871831 relations
  154. Fri Aug 19 11:24:20 2016 memory use: 2809.3 MB
  155. Fri Aug 19 11:24:20 2016 distribution of cycle lengths:
  156. Fri Aug 19 11:24:20 2016 1 relations: 339655
  157. Fri Aug 19 11:24:20 2016 2 relations: 576510
  158. Fri Aug 19 11:24:20 2016 3 relations: 734940
  159. Fri Aug 19 11:24:20 2016 4 relations: 802657
  160. Fri Aug 19 11:24:20 2016 5 relations: 861454
  161. Fri Aug 19 11:24:20 2016 6 relations: 869375
  162. Fri Aug 19 11:24:20 2016 7 relations: 869724
  163. Fri Aug 19 11:24:20 2016 8 relations: 845908
  164. Fri Aug 19 11:24:20 2016 9 relations: 804556
  165. Fri Aug 19 11:24:20 2016 10+ relations: 4947370
  166. Fri Aug 19 11:24:20 2016 heaviest cycle: 28 relations
  167. Fri Aug 19 11:24:52 2016 RelProcTime: 6099
  168. Fri Aug 19 11:24:52 2016
  169. Fri Aug 19 11:24:52 2016 commencing linear algebra
  170. Fri Aug 19 11:24:54 2016 read 11652149 cycles
  171. Fri Aug 19 11:25:22 2016 cycles contain 39185827 unique relations
  172. Fri Aug 19 11:31:21 2016 read 39185827 relations
  173. Fri Aug 19 11:32:49 2016 using 20 quadratic characters above 4294917295
  174. Fri Aug 19 11:35:25 2016 building initial matrix
  175. Fri Aug 19 11:44:21 2016 memory use: 5105.1 MB
  176. Fri Aug 19 11:44:34 2016 read 11652149 cycles
  177. Fri Aug 19 11:44:35 2016 matrix is 11651972 x 11652149 (5855.0 MB) with weight 1682391402 (144.38/col)
  178. Fri Aug 19 11:44:35 2016 sparse part has weight 1406669983 (120.72/col)
  179. Fri Aug 19 11:47:43 2016 filtering completed in 2 passes
  180. Fri Aug 19 11:47:46 2016 matrix is 11651902 x 11652079 (5855.0 MB) with weight 1682389192 (144.39/col)
  181. Fri Aug 19 11:47:46 2016 sparse part has weight 1406669409 (120.72/col)
  182. Fri Aug 19 11:50:42 2016 matrix starts at (0, 0)
  183. Fri Aug 19 11:50:43 2016 matrix is 11651902 x 11652079 (5855.0 MB) with weight 1682389192 (144.39/col)
  184. Fri Aug 19 11:50:43 2016 sparse part has weight 1406669409 (120.72/col)
  185. Fri Aug 19 11:50:43 2016 saving the first 48 matrix rows for later
  186. Fri Aug 19 11:50:45 2016 matrix includes 64 packed rows
  187. Fri Aug 19 11:50:46 2016 matrix is 11651854 x 11652079 (5608.6 MB) with weight 1459643970 (125.27/col)
  188. Fri Aug 19 11:50:46 2016 sparse part has weight 1353732048 (116.18/col)
  189. Fri Aug 19 11:50:46 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  190. Fri Aug 19 11:52:15 2016 commencing Lanczos iteration (12 threads)
  191. Fri Aug 19 11:52:16 2016 memory use: 4781.3 MB
  192. Fri Aug 19 11:52:40 2016 linear algebra at 0.0%, ETA 46h56m
  193. Fri Aug 19 11:52:47 2016 checkpointing every 260000 dimensions
  194. Fri Aug 19 12:00:18 2016 lanczos halted after 501 iterations (dim = 31671)
  195. Fri Aug 19 12:00:21 2016 BLanczosTime: 2129
  196. Fri Aug 19 12:00:21 2016
  197. Fri Aug 19 12:00:21 2016 commencing square root phase
  198. Fri Aug 19 12:00:21 2016 handling dependencies 1 to 64
  199. Fri Aug 19 12:00:21 2016 reading relations for dependency 1
  200. Fri Aug 19 12:00:21 2016 error: read_cycles can't open dependency file
  201. Fri Aug 19 13:08:50 2016
  202. Fri Aug 19 13:08:50 2016
  203. Fri Aug 19 13:08:50 2016 Msieve v. 1.53 (SVN 988M)
  204. Fri Aug 19 13:08:50 2016 random seeds: b55ea53b 50d3c081
  205. Fri Aug 19 13:08:50 2016 factoring 3207495269665192154249066581492053284697245034998003038802586902439561581478076259483793671590035446141057252054384713358651280058940193146076833547936233307837714184008959454837203600238553010586117221143073689 (211 digits)
  206. Fri Aug 19 13:08:51 2016 searching for 15-digit factors
  207. Fri Aug 19 13:08:53 2016 commencing number field sieve (211-digit input)
  208. Fri Aug 19 13:08:53 2016 R0: 624931990990842127748277129373
  209. Fri Aug 19 13:08:53 2016 R1: -256378676868573301455838684793773426688
  210. Fri Aug 19 13:08:53 2016 A0: 707281
  211. Fri Aug 19 13:08:53 2016 A1: 0
  212. Fri Aug 19 13:08:53 2016 A2: 0
  213. Fri Aug 19 13:08:53 2016 A3: 0
  214. Fri Aug 19 13:08:53 2016 A4: 0
  215. Fri Aug 19 13:08:53 2016 A5: 0
  216. Fri Aug 19 13:08:53 2016 A6: 5476
  217. Fri Aug 19 13:08:53 2016 skew 2.25, size 1.689e-12, alpha -0.184, combined = 1.847e-13 rroots = 0
  218. Fri Aug 19 13:08:53 2016
  219. Fri Aug 19 13:08:53 2016 commencing linear algebra
  220. Fri Aug 19 13:11:05 2016 matrix starts at (0, 0)
  221. Fri Aug 19 13:11:07 2016 matrix is 11651902 x 11652079 (5855.0 MB) with weight 1682389192 (144.39/col)
  222. Fri Aug 19 13:11:07 2016 sparse part has weight 1406669409 (120.72/col)
  223. Fri Aug 19 13:11:07 2016 saving the first 48 matrix rows for later
  224. Fri Aug 19 13:11:09 2016 matrix includes 64 packed rows
  225. Fri Aug 19 13:11:10 2016 matrix is 11651854 x 11652079 (5608.6 MB) with weight 1459643970 (125.27/col)
  226. Fri Aug 19 13:11:10 2016 sparse part has weight 1353732048 (116.18/col)
  227. Fri Aug 19 13:11:10 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  228. Fri Aug 19 13:12:44 2016 commencing Lanczos iteration (12 threads)
  229. Fri Aug 19 13:12:44 2016 memory use: 4781.3 MB
  230. Fri Aug 19 13:12:55 2016 restarting at iteration 501 (dim = 31671)
  231. Fri Aug 19 13:13:18 2016 linear algebra at 0.3%, ETA 48h57m
  232. Fri Aug 19 13:13:29 2016 checkpointing every 250000 dimensions
  233. Sun Aug 21 18:30:33 2016 lanczos halted after 184266 iterations (dim = 11651854)
  234. Sun Aug 21 18:30:49 2016 recovered 43 nontrivial dependencies
  235. Sun Aug 21 18:30:54 2016 BLanczosTime: 192121
  236. Sun Aug 21 18:30:54 2016
  237. Sun Aug 21 18:30:54 2016 commencing square root phase
  238. Sun Aug 21 18:30:54 2016 reading relations for dependency 1
  239. Sun Aug 21 18:31:05 2016 read 5829437 cycles
  240. Sun Aug 21 18:31:18 2016 cycles contain 19594284 unique relations
  241. Sun Aug 21 18:36:44 2016 read 19594284 relations
  242. Sun Aug 21 18:38:10 2016 multiplying 19594284 relations
  243. Sun Aug 21 19:00:29 2016 multiply complete, coefficients have about 748.09 million bits
  244. Sun Aug 21 19:00:33 2016 initial square root is modulo 5146567
  245. Sun Aug 21 19:24:20 2016 sqrtTime: 3206
  246. Sun Aug 21 19:24:21 2016 p57 factor: 998801821292840585616915387787693116327998483836340305057
  247. Sun Aug 21 19:24:22 2016 p154 factor: 3211343032508128136454994897870289827807231970723588805007196092032851372751127384876273395539646536548496634396124526690880966768287914199268279107369977
  248. Sun Aug 21 19:24:22 2016 elapsed time 54:15:32
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