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Jul 31st, 2016
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  1. Fri Jul 29 23:18:37 2016
  2. Fri Jul 29 23:18:37 2016
  3. Fri Jul 29 23:18:37 2016 Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 29 23:18:37 2016 random seeds: 9b4096c7 095d8c08
  5. Fri Jul 29 23:18:37 2016 factoring 391496212547633466121507439923420242801084092342752578235551561458901633930730285252752230133699323696560708807583747883054225603250766619616019779038767358684645862295032577428307117730780242998496738634446774922067129373605393495033 (234 digits)
  6. Fri Jul 29 23:18:38 2016 searching for 15-digit factors
  7. Fri Jul 29 23:18:40 2016 commencing number field sieve (234-digit input)
  8. Fri Jul 29 23:18:40 2016 R0: 3740434344477351388916475705363381856681
  9. Fri Jul 29 23:18:40 2016 R1: -129934811447123020117172145698449
  10. Fri Jul 29 23:18:40 2016 A0: -7
  11. Fri Jul 29 23:18:40 2016 A1: 0
  12. Fri Jul 29 23:18:40 2016 A2: 0
  13. Fri Jul 29 23:18:40 2016 A3: 0
  14. Fri Jul 29 23:18:40 2016 A4: 0
  15. Fri Jul 29 23:18:40 2016 A5: 0
  16. Fri Jul 29 23:18:40 2016 A6: 11
  17. Fri Jul 29 23:18:40 2016 skew 0.93, size 7.874e-12, alpha 1.337, combined = 5.367e-13 rroots = 2
  18. Fri Jul 29 23:18:40 2016
  19. Fri Jul 29 23:18:40 2016 commencing relation filtering
  20. Fri Jul 29 23:18:40 2016 setting target matrix density to 130.0
  21. Fri Jul 29 23:18:40 2016 estimated available RAM is 16384.0 MB
  22. Fri Jul 29 23:18:40 2016 commencing duplicate removal, pass 1
  23. Fri Jul 29 23:45:51 2016 error -9 reading relation 235821241
  24. Fri Jul 29 23:46:25 2016 error -9 reading relation 240786892
  25. Fri Jul 29 23:47:23 2016 error -15 reading relation 249093647
  26. Fri Jul 29 23:47:23 2016 error -1 reading relation 249093648
  27. Fri Jul 29 23:47:23 2016 error -9 reading relation 249114042
  28. Fri Jul 29 23:47:23 2016 error -9 reading relation 249137201
  29. Fri Jul 29 23:47:24 2016 error -15 reading relation 249252304
  30. Fri Jul 29 23:47:33 2016 error -9 reading relation 250657106
  31. Fri Jul 29 23:47:57 2016 error -15 reading relation 254207349
  32. Fri Jul 29 23:48:01 2016 error -1 reading relation 254760830
  33. Fri Jul 29 23:48:03 2016 error -15 reading relation 254988727
  34. Fri Jul 29 23:48:04 2016 error -5 reading relation 255151407
  35. Fri Jul 29 23:48:16 2016 error -15 reading relation 256951273
  36. Fri Jul 29 23:48:18 2016 error -9 reading relation 257183478
  37. Fri Jul 29 23:48:18 2016 error -15 reading relation 257205951
  38. Fri Jul 29 23:48:41 2016 error -15 reading relation 260528100
  39. Fri Jul 29 23:48:48 2016 skipped 70 relations with b > 2^32
  40. Fri Jul 29 23:48:48 2016 skipped 8 relations with composite factors
  41. Fri Jul 29 23:48:48 2016 found 50115026 hash collisions in 261607561 relations
  42. Fri Jul 29 23:49:01 2016 added 1218700 free relations
  43. Fri Jul 29 23:49:01 2016 commencing duplicate removal, pass 2
  44. Fri Jul 29 23:52:45 2016 found 47645713 duplicates and 215180548 unique relations
  45. Fri Jul 29 23:52:45 2016 memory use: 1321.5 MB
  46. Fri Jul 29 23:52:45 2016 reading ideals above 139919360
  47. Fri Jul 29 23:52:45 2016 commencing singleton removal, initial pass
  48. Sat Jul 30 00:11:42 2016 memory use: 5512.0 MB
  49. Sat Jul 30 00:11:42 2016 reading all ideals from disk
  50. Sat Jul 30 00:11:51 2016 memory use: 3640.8 MB
  51. Sat Jul 30 00:11:59 2016 commencing in-memory singleton removal
  52. Sat Jul 30 00:12:06 2016 begin with 215180548 relations and 163932060 unique ideals
  53. Sat Jul 30 00:13:30 2016 reduce to 153781504 relations and 97278813 ideals in 13 passes
  54. Sat Jul 30 00:13:30 2016 max relations containing the same ideal: 49
  55. Sat Jul 30 00:13:41 2016 reading ideals above 720000
  56. Sat Jul 30 00:13:42 2016 commencing singleton removal, initial pass
  57. Sat Jul 30 00:31:22 2016 memory use: 3012.0 MB
  58. Sat Jul 30 00:31:23 2016 reading all ideals from disk
  59. Sat Jul 30 00:31:38 2016 memory use: 5975.8 MB
  60. Sat Jul 30 00:31:53 2016 keeping 112313407 ideals with weight <= 200, target excess is 781738
  61. Sat Jul 30 00:32:05 2016 commencing in-memory singleton removal
  62. Sat Jul 30 00:32:17 2016 begin with 153781504 relations and 112313407 unique ideals
  63. Sat Jul 30 00:32:58 2016 reduce to 153781269 relations and 112313172 ideals in 4 passes
  64. Sat Jul 30 00:32:58 2016 max relations containing the same ideal: 200
  65. Sat Jul 30 00:33:49 2016 removing 9526946 relations and 7526946 ideals in 2000000 cliques
  66. Sat Jul 30 00:33:52 2016 commencing in-memory singleton removal
  67. Sat Jul 30 00:34:03 2016 begin with 144254323 relations and 112313172 unique ideals
  68. Sat Jul 30 00:35:10 2016 reduce to 143811083 relations and 104335413 ideals in 7 passes
  69. Sat Jul 30 00:35:10 2016 max relations containing the same ideal: 199
  70. Sat Jul 30 00:35:57 2016 removing 7289185 relations and 5289185 ideals in 2000000 cliques
  71. Sat Jul 30 00:36:00 2016 commencing in-memory singleton removal
  72. Sat Jul 30 00:36:10 2016 begin with 136521898 relations and 104335413 unique ideals
  73. Sat Jul 30 00:37:13 2016 reduce to 136223633 relations and 98743692 ideals in 7 passes
  74. Sat Jul 30 00:37:13 2016 max relations containing the same ideal: 194
  75. Sat Jul 30 00:37:57 2016 removing 6646604 relations and 4646604 ideals in 2000000 cliques
  76. Sat Jul 30 00:38:00 2016 commencing in-memory singleton removal
  77. Sat Jul 30 00:38:10 2016 begin with 129577029 relations and 98743692 unique ideals
  78. Sat Jul 30 00:39:01 2016 reduce to 129319453 relations and 93835889 ideals in 6 passes
  79. Sat Jul 30 00:39:01 2016 max relations containing the same ideal: 189
  80. Sat Jul 30 00:39:43 2016 removing 6319551 relations and 4319551 ideals in 2000000 cliques
  81. Sat Jul 30 00:39:46 2016 commencing in-memory singleton removal
  82. Sat Jul 30 00:39:55 2016 begin with 122999902 relations and 93835889 unique ideals
  83. Sat Jul 30 00:40:50 2016 reduce to 122764065 relations and 89277001 ideals in 7 passes
  84. Sat Jul 30 00:40:50 2016 max relations containing the same ideal: 183
  85. Sat Jul 30 00:41:30 2016 removing 6106953 relations and 4106953 ideals in 2000000 cliques
  86. Sat Jul 30 00:41:33 2016 commencing in-memory singleton removal
  87. Sat Jul 30 00:41:41 2016 begin with 116657112 relations and 89277001 unique ideals
  88. Sat Jul 30 00:42:26 2016 reduce to 116434122 relations and 84943613 ideals in 6 passes
  89. Sat Jul 30 00:42:26 2016 max relations containing the same ideal: 179
  90. Sat Jul 30 00:43:05 2016 removing 5955639 relations and 3955639 ideals in 2000000 cliques
  91. Sat Jul 30 00:43:07 2016 commencing in-memory singleton removal
  92. Sat Jul 30 00:43:15 2016 begin with 110478483 relations and 84943613 unique ideals
  93. Sat Jul 30 00:43:57 2016 reduce to 110262680 relations and 80768715 ideals in 6 passes
  94. Sat Jul 30 00:43:57 2016 max relations containing the same ideal: 173
  95. Sat Jul 30 00:44:33 2016 removing 5843070 relations and 3843070 ideals in 2000000 cliques
  96. Sat Jul 30 00:44:36 2016 commencing in-memory singleton removal
  97. Sat Jul 30 00:44:43 2016 begin with 104419610 relations and 80768715 unique ideals
  98. Sat Jul 30 00:45:29 2016 reduce to 104206376 relations and 76708838 ideals in 7 passes
  99. Sat Jul 30 00:45:29 2016 max relations containing the same ideal: 170
  100. Sat Jul 30 00:46:03 2016 removing 5756338 relations and 3756338 ideals in 2000000 cliques
  101. Sat Jul 30 00:46:05 2016 commencing in-memory singleton removal
  102. Sat Jul 30 00:46:12 2016 begin with 98450038 relations and 76708838 unique ideals
  103. Sat Jul 30 00:46:49 2016 reduce to 98237621 relations and 72736215 ideals in 6 passes
  104. Sat Jul 30 00:46:49 2016 max relations containing the same ideal: 163
  105. Sat Jul 30 00:47:21 2016 removing 5686095 relations and 3686095 ideals in 2000000 cliques
  106. Sat Jul 30 00:47:23 2016 commencing in-memory singleton removal
  107. Sat Jul 30 00:47:30 2016 begin with 92551526 relations and 72736215 unique ideals
  108. Sat Jul 30 00:48:10 2016 reduce to 92337103 relations and 68831689 ideals in 7 passes
  109. Sat Jul 30 00:48:10 2016 max relations containing the same ideal: 153
  110. Sat Jul 30 00:48:40 2016 removing 5630258 relations and 3630258 ideals in 2000000 cliques
  111. Sat Jul 30 00:48:42 2016 commencing in-memory singleton removal
  112. Sat Jul 30 00:48:48 2016 begin with 86706845 relations and 68831689 unique ideals
  113. Sat Jul 30 00:49:20 2016 reduce to 86487827 relations and 64978150 ideals in 6 passes
  114. Sat Jul 30 00:49:20 2016 max relations containing the same ideal: 146
  115. Sat Jul 30 00:49:48 2016 removing 5585769 relations and 3585769 ideals in 2000000 cliques
  116. Sat Jul 30 00:49:50 2016 commencing in-memory singleton removal
  117. Sat Jul 30 00:49:55 2016 begin with 80902058 relations and 64978150 unique ideals
  118. Sat Jul 30 00:50:24 2016 reduce to 80677257 relations and 61162957 ideals in 6 passes
  119. Sat Jul 30 00:50:24 2016 max relations containing the same ideal: 139
  120. Sat Jul 30 00:50:51 2016 removing 5551221 relations and 3551221 ideals in 2000000 cliques
  121. Sat Jul 30 00:50:53 2016 commencing in-memory singleton removal
  122. Sat Jul 30 00:50:58 2016 begin with 75126036 relations and 61162957 unique ideals
  123. Sat Jul 30 00:51:24 2016 reduce to 74893796 relations and 57374236 ideals in 6 passes
  124. Sat Jul 30 00:51:24 2016 max relations containing the same ideal: 133
  125. Sat Jul 30 00:51:48 2016 removing 5527256 relations and 3527256 ideals in 2000000 cliques
  126. Sat Jul 30 00:51:50 2016 commencing in-memory singleton removal
  127. Sat Jul 30 00:51:55 2016 begin with 69366540 relations and 57374236 unique ideals
  128. Sat Jul 30 00:52:19 2016 reduce to 69123421 relations and 53598102 ideals in 6 passes
  129. Sat Jul 30 00:52:19 2016 max relations containing the same ideal: 128
  130. Sat Jul 30 00:52:41 2016 removing 5509231 relations and 3509231 ideals in 2000000 cliques
  131. Sat Jul 30 00:52:43 2016 commencing in-memory singleton removal
  132. Sat Jul 30 00:52:47 2016 begin with 63614190 relations and 53598102 unique ideals
  133. Sat Jul 30 00:53:09 2016 reduce to 63356863 relations and 49824948 ideals in 6 passes
  134. Sat Jul 30 00:53:09 2016 max relations containing the same ideal: 118
  135. Sat Jul 30 00:53:29 2016 removing 5497407 relations and 3497407 ideals in 2000000 cliques
  136. Sat Jul 30 00:53:31 2016 commencing in-memory singleton removal
  137. Sat Jul 30 00:53:34 2016 begin with 57859456 relations and 49824948 unique ideals
  138. Sat Jul 30 00:53:54 2016 reduce to 57585179 relations and 46045782 ideals in 6 passes
  139. Sat Jul 30 00:53:54 2016 max relations containing the same ideal: 110
  140. Sat Jul 30 00:54:12 2016 removing 5492274 relations and 3492274 ideals in 2000000 cliques
  141. Sat Jul 30 00:54:14 2016 commencing in-memory singleton removal
  142. Sat Jul 30 00:54:17 2016 begin with 52092905 relations and 46045782 unique ideals
  143. Sat Jul 30 00:54:37 2016 reduce to 51796930 relations and 42248819 ideals in 7 passes
  144. Sat Jul 30 00:54:37 2016 max relations containing the same ideal: 103
  145. Sat Jul 30 00:54:53 2016 removing 5494279 relations and 3494279 ideals in 2000000 cliques
  146. Sat Jul 30 00:54:55 2016 commencing in-memory singleton removal
  147. Sat Jul 30 00:54:58 2016 begin with 46302651 relations and 42248819 unique ideals
  148. Sat Jul 30 00:55:15 2016 reduce to 45977546 relations and 38418796 ideals in 7 passes
  149. Sat Jul 30 00:55:15 2016 max relations containing the same ideal: 94
  150. Sat Jul 30 00:55:29 2016 removing 5497042 relations and 3497042 ideals in 2000000 cliques
  151. Sat Jul 30 00:55:31 2016 commencing in-memory singleton removal
  152. Sat Jul 30 00:55:33 2016 begin with 40480504 relations and 38418796 unique ideals
  153. Sat Jul 30 00:55:47 2016 reduce to 40112073 relations and 34539764 ideals in 7 passes
  154. Sat Jul 30 00:55:47 2016 max relations containing the same ideal: 86
  155. Sat Jul 30 00:55:59 2016 removing 5516638 relations and 3516638 ideals in 2000000 cliques
  156. Sat Jul 30 00:56:01 2016 commencing in-memory singleton removal
  157. Sat Jul 30 00:56:03 2016 begin with 34595435 relations and 34539764 unique ideals
  158. Sat Jul 30 00:56:14 2016 reduce to 34164435 relations and 30574385 ideals in 7 passes
  159. Sat Jul 30 00:56:14 2016 max relations containing the same ideal: 78
  160. Sat Jul 30 00:56:25 2016 removing 5557853 relations and 3557853 ideals in 2000000 cliques
  161. Sat Jul 30 00:56:26 2016 commencing in-memory singleton removal
  162. Sat Jul 30 00:56:28 2016 begin with 28606582 relations and 30574385 unique ideals
  163. Sat Jul 30 00:56:36 2016 reduce to 28065559 relations and 26448993 ideals in 7 passes
  164. Sat Jul 30 00:56:36 2016 max relations containing the same ideal: 69
  165. Sat Jul 30 00:56:45 2016 removing 2382154 relations and 1672405 ideals in 709749 cliques
  166. Sat Jul 30 00:56:46 2016 commencing in-memory singleton removal
  167. Sat Jul 30 00:56:47 2016 begin with 25683405 relations and 26448993 unique ideals
  168. Sat Jul 30 00:56:53 2016 reduce to 25521955 relations and 24611442 ideals in 6 passes
  169. Sat Jul 30 00:56:53 2016 max relations containing the same ideal: 65
  170. Sat Jul 30 00:57:04 2016 relations with 0 large ideals: 29678
  171. Sat Jul 30 00:57:04 2016 relations with 1 large ideals: 18731
  172. Sat Jul 30 00:57:04 2016 relations with 2 large ideals: 227950
  173. Sat Jul 30 00:57:04 2016 relations with 3 large ideals: 1265934
  174. Sat Jul 30 00:57:04 2016 relations with 4 large ideals: 3700041
  175. Sat Jul 30 00:57:04 2016 relations with 5 large ideals: 6328602
  176. Sat Jul 30 00:57:04 2016 relations with 6 large ideals: 6696211
  177. Sat Jul 30 00:57:04 2016 relations with 7+ large ideals: 7254808
  178. Sat Jul 30 00:57:04 2016 commencing 2-way merge
  179. Sat Jul 30 00:57:14 2016 reduce to 17486559 relation sets and 16576046 unique ideals
  180. Sat Jul 30 00:57:14 2016 commencing full merge
  181. Sat Jul 30 01:03:24 2016 memory use: 2164.9 MB
  182. Sat Jul 30 01:03:27 2016 found 7619413 cycles, need 7592246
  183. Sat Jul 30 01:03:28 2016 weight of 7592246 cycles is about 987642523 (130.09/cycle)
  184. Sat Jul 30 01:03:28 2016 distribution of cycle lengths:
  185. Sat Jul 30 01:03:28 2016 1 relations: 182283
  186. Sat Jul 30 01:03:28 2016 2 relations: 327672
  187. Sat Jul 30 01:03:28 2016 3 relations: 428618
  188. Sat Jul 30 01:03:28 2016 4 relations: 477757
  189. Sat Jul 30 01:03:28 2016 5 relations: 519172
  190. Sat Jul 30 01:03:28 2016 6 relations: 537865
  191. Sat Jul 30 01:03:28 2016 7 relations: 546012
  192. Sat Jul 30 01:03:28 2016 8 relations: 535789
  193. Sat Jul 30 01:03:28 2016 9 relations: 515500
  194. Sat Jul 30 01:03:28 2016 10+ relations: 3521578
  195. Sat Jul 30 01:03:28 2016 heaviest cycle: 28 relations
  196. Sat Jul 30 01:03:29 2016 commencing cycle optimization
  197. Sat Jul 30 01:03:45 2016 start with 74517298 relations
  198. Sat Jul 30 01:06:53 2016 pruned 4236807 relations
  199. Sat Jul 30 01:06:53 2016 memory use: 1824.2 MB
  200. Sat Jul 30 01:06:53 2016 distribution of cycle lengths:
  201. Sat Jul 30 01:06:53 2016 1 relations: 182283
  202. Sat Jul 30 01:06:53 2016 2 relations: 336732
  203. Sat Jul 30 01:06:53 2016 3 relations: 448025
  204. Sat Jul 30 01:06:53 2016 4 relations: 501355
  205. Sat Jul 30 01:06:53 2016 5 relations: 551717
  206. Sat Jul 30 01:06:53 2016 6 relations: 572306
  207. Sat Jul 30 01:06:53 2016 7 relations: 584524
  208. Sat Jul 30 01:06:53 2016 8 relations: 572929
  209. Sat Jul 30 01:06:53 2016 9 relations: 551490
  210. Sat Jul 30 01:06:53 2016 10+ relations: 3290885
  211. Sat Jul 30 01:06:53 2016 heaviest cycle: 28 relations
  212. Sat Jul 30 01:07:04 2016 RelProcTime: 6504
  213. Sat Jul 30 01:07:04 2016
  214. Sat Jul 30 01:07:04 2016 commencing linear algebra
  215. Sat Jul 30 01:07:05 2016 read 7592246 cycles
  216. Sat Jul 30 01:07:22 2016 cycles contain 25105628 unique relations
  217. Sat Jul 30 01:11:28 2016 read 25105628 relations
  218. Sat Jul 30 01:12:05 2016 using 20 quadratic characters above 4294917295
  219. Sat Jul 30 01:13:37 2016 building initial matrix
  220. Sat Jul 30 01:18:16 2016 memory use: 3175.0 MB
  221. Sat Jul 30 01:18:29 2016 read 7592246 cycles
  222. Sat Jul 30 01:18:30 2016 matrix is 7592069 x 7592246 (3774.3 MB) with weight 1088832042 (143.41/col)
  223. Sat Jul 30 01:18:30 2016 sparse part has weight 905890149 (119.32/col)
  224. Sat Jul 30 01:19:44 2016 filtering completed in 2 passes
  225. Sat Jul 30 01:19:45 2016 matrix is 7591996 x 7592173 (3774.3 MB) with weight 1088829484 (143.41/col)
  226. Sat Jul 30 01:19:45 2016 sparse part has weight 905889440 (119.32/col)
  227. Sat Jul 30 01:20:10 2016 matrix starts at (0, 0)
  228. Sat Jul 30 01:20:10 2016 matrix is 7591996 x 7592173 (3774.3 MB) with weight 1088829484 (143.41/col)
  229. Sat Jul 30 01:20:10 2016 sparse part has weight 905889440 (119.32/col)
  230. Sat Jul 30 01:20:10 2016 saving the first 48 matrix rows for later
  231. Sat Jul 30 01:20:11 2016 matrix includes 64 packed rows
  232. Sat Jul 30 01:20:12 2016 matrix is 7591948 x 7592173 (3630.0 MB) with weight 943565070 (124.28/col)
  233. Sat Jul 30 01:20:12 2016 sparse part has weight 875655549 (115.34/col)
  234. Sat Jul 30 01:20:12 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  235. Sat Jul 30 01:20:52 2016 commencing Lanczos iteration (4 threads)
  236. Sat Jul 30 01:20:52 2016 memory use: 3093.0 MB
  237. Sat Jul 30 01:21:23 2016 linear algebra at 0.0%, ETA 40h18m
  238. Sat Jul 30 01:21:32 2016 checkpointing every 200000 dimensions
  239. Sun Jul 31 17:21:10 2016 lanczos halted after 120060 iterations (dim = 7591948)
  240. Sun Jul 31 17:21:16 2016 recovered 36 nontrivial dependencies
  241. Sun Jul 31 17:21:18 2016 BLanczosTime: 144854
  242. Sun Jul 31 17:21:18 2016
  243. Sun Jul 31 17:21:18 2016 commencing square root phase
  244. Sun Jul 31 17:21:18 2016 handling dependencies 1 to 64
  245. Sun Jul 31 17:21:18 2016 reading relations for dependency 1
  246. Sun Jul 31 17:21:19 2016 read 3795951 cycles
  247. Sun Jul 31 17:21:26 2016 cycles contain 12551572 unique relations
  248. Sun Jul 31 17:24:42 2016 read 12551572 relations
  249. Sun Jul 31 17:25:29 2016 multiplying 12551572 relations
  250. Sun Jul 31 17:32:58 2016 multiply complete, coefficients have about 353.54 million bits
  251. Sun Jul 31 17:32:59 2016 initial square root is modulo 2206021
  252. Sun Jul 31 17:40:27 2016 sqrtTime: 1149
  253. Sun Jul 31 17:40:27 2016 p67 factor: 1762496649665213387655977418849834460619722318634483916376875858647
  254. Sun Jul 31 17:40:27 2016 p168 factor: 222125932904325381107704341559010560733106933072623969451832198989084163380889004175812735940874721809910847494914273146934368080787753891265132147574696823768042667439
  255. Sun Jul 31 17:40:27 2016 elapsed time 42:21:50
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