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  1. Fri Jul  1 21:21:49 2016  
  2. Fri Jul  1 21:21:49 2016  
  3. Fri Jul  1 21:21:49 2016  Msieve v. 1.53 (SVN 988M)
  4. Fri Jul  1 21:21:49 2016  random seeds: 8b77b30f 8263488c
  5. Fri Jul  1 21:21:49 2016  factoring 36837907385817197365577198181535213907056563703273820809659175994233862094958153827771976268577132047105131533076700072955923181062123958646546409385385307938563213878891381361971681492568652553137485530151238700454735758093849137705609 (236 digits)
  6. Fri Jul  1 21:21:50 2016  searching for 15-digit factors
  7. Fri Jul  1 21:21:52 2016  commencing number field sieve (236-digit input)
  8. Fri Jul  1 21:21:52 2016  R0: 1447790847186638663342333940162880208896
  9. Fri Jul  1 21:21:52 2016  R1: 66741943359375
  10. Fri Jul  1 21:21:52 2016  A0: 2025
  11. Fri Jul  1 21:21:52 2016  A1: 0
  12. Fri Jul  1 21:21:52 2016  A2: 0
  13. Fri Jul  1 21:21:52 2016  A3: 0
  14. Fri Jul  1 21:21:52 2016  A4: 0
  15. Fri Jul  1 21:21:52 2016  A5: 0
  16. Fri Jul  1 21:21:52 2016  A6: 4
  17. Fri Jul  1 21:21:52 2016  skew 2.82, size 8.152e-12, alpha 0.038, combined = 5.613e-13 rroots = 0
  18. Fri Jul  1 21:21:52 2016  
  19. Fri Jul  1 21:21:52 2016  commencing relation filtering
  20. Fri Jul  1 21:21:52 2016  setting target matrix density to 130.0
  21. Fri Jul  1 21:21:52 2016  estimated available RAM is 16384.0 MB
  22. Fri Jul  1 21:21:52 2016  commencing duplicate removal, pass 1
  23. Fri Jul  1 21:44:29 2016  error -9 reading relation 191780460
  24. Fri Jul  1 21:44:41 2016  error -5 reading relation 193497091
  25. Fri Jul  1 21:49:12 2016  error -9 reading relation 231849153
  26. Fri Jul  1 21:49:24 2016  error -1 reading relation 233590672
  27. Fri Jul  1 21:49:24 2016  error -5 reading relation 233590673
  28. Fri Jul  1 21:49:24 2016  error -5 reading relation 233590674
  29. Fri Jul  1 21:49:24 2016  error -1 reading relation 233590675
  30. Fri Jul  1 21:49:24 2016  error -1 reading relation 233590676
  31. Fri Jul  1 21:49:24 2016  error -1 reading relation 233590677
  32. Fri Jul  1 21:49:26 2016  error -15 reading relation 233872977
  33. Fri Jul  1 21:49:36 2016  error -9 reading relation 235384250
  34. Fri Jul  1 21:50:06 2016  error -9 reading relation 239601713
  35. Fri Jul  1 21:50:06 2016  error -15 reading relation 239642179
  36. Fri Jul  1 21:50:16 2016  error -9 reading relation 241005129
  37. Fri Jul  1 21:50:24 2016  error -9 reading relation 242149569
  38. Fri Jul  1 21:50:51 2016  error -5 reading relation 245983219
  39. Fri Jul  1 21:50:52 2016  error -9 reading relation 246081681
  40. Fri Jul  1 21:50:52 2016  error -9 reading relation 246114438
  41. Fri Jul  1 21:50:56 2016  error -15 reading relation 246685762
  42. Fri Jul  1 21:51:28 2016  error -15 reading relation 251398456
  43. Fri Jul  1 21:51:44 2016  skipped 19 relations with b > 2^32
  44. Fri Jul  1 21:51:44 2016  skipped 9 relations with composite factors
  45. Fri Jul  1 21:51:44 2016  found 47178992 hash collisions in 253717133 relations
  46. Fri Jul  1 21:51:57 2016  added 1219924 free relations
  47. Fri Jul  1 21:51:57 2016  commencing duplicate removal, pass 2
  48. Fri Jul  1 21:55:35 2016  found 44286751 duplicates and 210650306 unique relations
  49. Fri Jul  1 21:55:35 2016  memory use: 1321.5 MB
  50. Fri Jul  1 21:55:35 2016  reading ideals above 129957888
  51. Fri Jul  1 21:55:35 2016  commencing singleton removal, initial pass
  52. Fri Jul  1 22:14:42 2016  memory use: 3012.0 MB
  53. Fri Jul  1 22:14:42 2016  reading all ideals from disk
  54. Fri Jul  1 22:14:52 2016  memory use: 3592.3 MB
  55. Fri Jul  1 22:15:00 2016  commencing in-memory singleton removal
  56. Fri Jul  1 22:15:07 2016  begin with 210650306 relations and 163453476 unique ideals
  57. Fri Jul  1 22:16:26 2016  reduce to 147556613 relations and 94701943 ideals in 12 passes
  58. Fri Jul  1 22:16:26 2016  max relations containing the same ideal: 47
  59. Fri Jul  1 22:16:37 2016  reading ideals above 720000
  60. Fri Jul  1 22:16:37 2016  commencing singleton removal, initial pass
  61. Fri Jul  1 22:34:12 2016  memory use: 3012.0 MB
  62. Fri Jul  1 22:34:12 2016  reading all ideals from disk
  63. Fri Jul  1 22:34:42 2016  memory use: 5705.8 MB
  64. Fri Jul  1 22:34:55 2016  keeping 108707889 ideals with weight <= 200, target excess is 746030
  65. Fri Jul  1 22:35:07 2016  commencing in-memory singleton removal
  66. Fri Jul  1 22:35:18 2016  begin with 147556613 relations and 108707889 unique ideals
  67. Fri Jul  1 22:35:48 2016  reduce to 147556514 relations and 108707790 ideals in 3 passes
  68. Fri Jul  1 22:35:48 2016  max relations containing the same ideal: 200
  69. Fri Jul  1 22:36:37 2016  removing 9696486 relations and 7696486 ideals in 2000000 cliques
  70. Fri Jul  1 22:36:41 2016  commencing in-memory singleton removal
  71. Fri Jul  1 22:36:52 2016  begin with 137860028 relations and 108707790 unique ideals
  72. Fri Jul  1 22:37:55 2016  reduce to 137383836 relations and 100526997 ideals in 7 passes
  73. Fri Jul  1 22:37:55 2016  max relations containing the same ideal: 198
  74. Fri Jul  1 22:38:41 2016  removing 7403272 relations and 5403272 ideals in 2000000 cliques
  75. Fri Jul  1 22:38:44 2016  commencing in-memory singleton removal
  76. Fri Jul  1 22:38:54 2016  begin with 129980564 relations and 100526997 unique ideals
  77. Fri Jul  1 22:40:02 2016  reduce to 129660908 relations and 94799058 ideals in 8 passes
  78. Fri Jul  1 22:40:02 2016  max relations containing the same ideal: 194
  79. Fri Jul  1 22:40:44 2016  removing 6745709 relations and 4745709 ideals in 2000000 cliques
  80. Fri Jul  1 22:40:47 2016  commencing in-memory singleton removal
  81. Fri Jul  1 22:40:56 2016  begin with 122915199 relations and 94799058 unique ideals
  82. Fri Jul  1 22:41:51 2016  reduce to 122638727 relations and 89772760 ideals in 7 passes
  83. Fri Jul  1 22:41:51 2016  max relations containing the same ideal: 188
  84. Fri Jul  1 22:42:32 2016  removing 6402541 relations and 4402541 ideals in 2000000 cliques
  85. Fri Jul  1 22:42:34 2016  commencing in-memory singleton removal
  86. Fri Jul  1 22:42:43 2016  begin with 116236186 relations and 89772760 unique ideals
  87. Fri Jul  1 22:43:28 2016  reduce to 115983834 relations and 85113971 ideals in 6 passes
  88. Fri Jul  1 22:43:28 2016  max relations containing the same ideal: 181
  89. Fri Jul  1 22:44:05 2016  removing 6185933 relations and 4185933 ideals in 2000000 cliques
  90. Fri Jul  1 22:44:08 2016  commencing in-memory singleton removal
  91. Fri Jul  1 22:44:16 2016  begin with 109797901 relations and 85113971 unique ideals
  92. Fri Jul  1 22:45:05 2016  reduce to 109557854 relations and 80684075 ideals in 7 passes
  93. Fri Jul  1 22:45:05 2016  max relations containing the same ideal: 175
  94. Fri Jul  1 22:45:40 2016  removing 6031902 relations and 4031902 ideals in 2000000 cliques
  95. Fri Jul  1 22:45:43 2016  commencing in-memory singleton removal
  96. Fri Jul  1 22:45:50 2016  begin with 103525952 relations and 80684075 unique ideals
  97. Fri Jul  1 22:46:29 2016  reduce to 103291845 relations and 76414193 ideals in 6 passes
  98. Fri Jul  1 22:46:29 2016  max relations containing the same ideal: 169
  99. Fri Jul  1 22:47:04 2016  removing 5912852 relations and 3912852 ideals in 2000000 cliques
  100. Fri Jul  1 22:47:06 2016  commencing in-memory singleton removal
  101. Fri Jul  1 22:47:13 2016  begin with 97378993 relations and 76414193 unique ideals
  102. Fri Jul  1 22:47:49 2016  reduce to 97146916 relations and 72265139 ideals in 6 passes
  103. Fri Jul  1 22:47:49 2016  max relations containing the same ideal: 162
  104. Fri Jul  1 22:48:21 2016  removing 5826095 relations and 3826095 ideals in 2000000 cliques
  105. Fri Jul  1 22:48:23 2016  commencing in-memory singleton removal
  106. Fri Jul  1 22:48:30 2016  begin with 91320821 relations and 72265139 unique ideals
  107. Fri Jul  1 22:48:58 2016  reduce to 91088067 relations and 68201991 ideals in 5 passes
  108. Fri Jul  1 22:48:58 2016  max relations containing the same ideal: 155
  109. Fri Jul  1 22:49:28 2016  removing 5755023 relations and 3755023 ideals in 2000000 cliques
  110. Fri Jul  1 22:49:30 2016  commencing in-memory singleton removal
  111. Fri Jul  1 22:49:36 2016  begin with 85333044 relations and 68201991 unique ideals
  112. Fri Jul  1 22:50:07 2016  reduce to 85097942 relations and 64207095 ideals in 6 passes
  113. Fri Jul  1 22:50:07 2016  max relations containing the same ideal: 151
  114. Fri Jul  1 22:50:35 2016  removing 5701062 relations and 3701062 ideals in 2000000 cliques
  115. Fri Jul  1 22:50:37 2016  commencing in-memory singleton removal
  116. Fri Jul  1 22:50:42 2016  begin with 79396880 relations and 64207095 unique ideals
  117. Fri Jul  1 22:51:15 2016  reduce to 79154339 relations and 60258364 ideals in 7 passes
  118. Fri Jul  1 22:51:15 2016  max relations containing the same ideal: 143
  119. Fri Jul  1 22:51:41 2016  removing 5658830 relations and 3658830 ideals in 2000000 cliques
  120. Fri Jul  1 22:51:43 2016  commencing in-memory singleton removal
  121. Fri Jul  1 22:51:48 2016  begin with 73495509 relations and 60258364 unique ideals
  122. Fri Jul  1 22:52:18 2016  reduce to 73244191 relations and 56342615 ideals in 7 passes
  123. Fri Jul  1 22:52:18 2016  max relations containing the same ideal: 137
  124. Fri Jul  1 22:52:42 2016  removing 5625759 relations and 3625759 ideals in 2000000 cliques
  125. Fri Jul  1 22:52:44 2016  commencing in-memory singleton removal
  126. Fri Jul  1 22:52:48 2016  begin with 67618432 relations and 56342615 unique ideals
  127. Fri Jul  1 22:53:11 2016  reduce to 67356283 relations and 52448364 ideals in 6 passes
  128. Fri Jul  1 22:53:11 2016  max relations containing the same ideal: 129
  129. Fri Jul  1 22:53:33 2016  removing 5603468 relations and 3603468 ideals in 2000000 cliques
  130. Fri Jul  1 22:53:35 2016  commencing in-memory singleton removal
  131. Fri Jul  1 22:53:39 2016  begin with 61752815 relations and 52448364 unique ideals
  132. Fri Jul  1 22:54:03 2016  reduce to 61474697 relations and 48559648 ideals in 7 passes
  133. Fri Jul  1 22:54:03 2016  max relations containing the same ideal: 119
  134. Fri Jul  1 22:54:23 2016  removing 5589931 relations and 3589931 ideals in 2000000 cliques
  135. Fri Jul  1 22:54:25 2016  commencing in-memory singleton removal
  136. Fri Jul  1 22:54:28 2016  begin with 55884766 relations and 48559648 unique ideals
  137. Fri Jul  1 22:54:47 2016  reduce to 55589436 relations and 44666069 ideals in 6 passes
  138. Fri Jul  1 22:54:47 2016  max relations containing the same ideal: 110
  139. Fri Jul  1 22:55:05 2016  removing 5582855 relations and 3582855 ideals in 2000000 cliques
  140. Fri Jul  1 22:55:07 2016  commencing in-memory singleton removal
  141. Fri Jul  1 22:55:10 2016  begin with 50006581 relations and 44666069 unique ideals
  142. Fri Jul  1 22:55:25 2016  reduce to 49686236 relations and 40752957 ideals in 6 passes
  143. Fri Jul  1 22:55:25 2016  max relations containing the same ideal: 105
  144. Fri Jul  1 22:55:41 2016  removing 5579968 relations and 3579968 ideals in 2000000 cliques
  145. Fri Jul  1 22:55:43 2016  commencing in-memory singleton removal
  146. Fri Jul  1 22:55:46 2016  begin with 44106268 relations and 40752957 unique ideals
  147. Fri Jul  1 22:56:02 2016  reduce to 43752940 relations and 36807467 ideals in 7 passes
  148. Fri Jul  1 22:56:02 2016  max relations containing the same ideal: 96
  149. Fri Jul  1 22:56:15 2016  removing 5586867 relations and 3586867 ideals in 2000000 cliques
  150. Fri Jul  1 22:56:17 2016  commencing in-memory singleton removal
  151. Fri Jul  1 22:56:19 2016  begin with 38166073 relations and 36807467 unique ideals
  152. Fri Jul  1 22:56:30 2016  reduce to 37764650 relations and 32803786 ideals in 6 passes
  153. Fri Jul  1 22:56:30 2016  max relations containing the same ideal: 86
  154. Fri Jul  1 22:56:42 2016  removing 5598687 relations and 3598687 ideals in 2000000 cliques
  155. Fri Jul  1 22:56:43 2016  commencing in-memory singleton removal
  156. Fri Jul  1 22:56:45 2016  begin with 32165963 relations and 32803786 unique ideals
  157. Fri Jul  1 22:56:57 2016  reduce to 31688237 relations and 28706578 ideals in 8 passes
  158. Fri Jul  1 22:56:57 2016  max relations containing the same ideal: 75
  159. Fri Jul  1 22:57:07 2016  removing 5640469 relations and 3640469 ideals in 2000000 cliques
  160. Fri Jul  1 22:57:08 2016  commencing in-memory singleton removal
  161. Fri Jul  1 22:57:09 2016  begin with 26047768 relations and 28706578 unique ideals
  162. Fri Jul  1 22:57:17 2016  reduce to 25434497 relations and 24420637 ideals in 7 passes
  163. Fri Jul  1 22:57:17 2016  max relations containing the same ideal: 66
  164. Fri Jul  1 22:57:25 2016  removing 665879 relations and 517414 ideals in 148465 cliques
  165. Fri Jul  1 22:57:26 2016  commencing in-memory singleton removal
  166. Fri Jul  1 22:57:27 2016  begin with 24768618 relations and 24420637 unique ideals
  167. Fri Jul  1 22:57:32 2016  reduce to 24752730 relations and 23887229 ideals in 5 passes
  168. Fri Jul  1 22:57:32 2016  max relations containing the same ideal: 65
  169. Fri Jul  1 22:57:42 2016  relations with 0 large ideals: 28108
  170. Fri Jul  1 22:57:42 2016  relations with 1 large ideals: 17931
  171. Fri Jul  1 22:57:42 2016  relations with 2 large ideals: 217623
  172. Fri Jul  1 22:57:42 2016  relations with 3 large ideals: 1209273
  173. Fri Jul  1 22:57:42 2016  relations with 4 large ideals: 3548966
  174. Fri Jul  1 22:57:42 2016  relations with 5 large ideals: 6113288
  175. Fri Jul  1 22:57:42 2016  relations with 6 large ideals: 6504101
  176. Fri Jul  1 22:57:42 2016  relations with 7+ large ideals: 7113440
  177. Fri Jul  1 22:57:42 2016  commencing 2-way merge
  178. Fri Jul  1 22:57:53 2016  reduce to 16867080 relation sets and 16001579 unique ideals
  179. Fri Jul  1 22:57:53 2016  commencing full merge
  180. Fri Jul  1 23:03:43 2016  memory use: 2091.6 MB
  181. Fri Jul  1 23:03:46 2016  found 7423468 cycles, need 7389779
  182. Fri Jul  1 23:03:46 2016  weight of 7389779 cycles is about 960733932 (130.01/cycle)
  183. Fri Jul  1 23:03:46 2016  distribution of cycle lengths:
  184. Fri Jul  1 23:03:46 2016  1 relations: 189641
  185. Fri Jul  1 23:03:46 2016  2 relations: 338166
  186. Fri Jul  1 23:03:46 2016  3 relations: 440407
  187. Fri Jul  1 23:03:46 2016  4 relations: 487090
  188. Fri Jul  1 23:03:46 2016  5 relations: 525743
  189. Fri Jul  1 23:03:46 2016  6 relations: 540622
  190. Fri Jul  1 23:03:46 2016  7 relations: 540961
  191. Fri Jul  1 23:03:46 2016  8 relations: 528968
  192. Fri Jul  1 23:03:46 2016  9 relations: 500756
  193. Fri Jul  1 23:03:46 2016  10+ relations: 3297425
  194. Fri Jul  1 23:03:46 2016  heaviest cycle: 28 relations
  195. Fri Jul  1 23:03:48 2016  commencing cycle optimization
  196. Fri Jul  1 23:04:03 2016  start with 70859020 relations
  197. Fri Jul  1 23:06:56 2016  pruned 3898135 relations
  198. Fri Jul  1 23:06:56 2016  memory use: 1756.6 MB
  199. Fri Jul  1 23:06:56 2016  distribution of cycle lengths:
  200. Fri Jul  1 23:06:56 2016  1 relations: 189641
  201. Fri Jul  1 23:06:56 2016  2 relations: 347740
  202. Fri Jul  1 23:06:56 2016  3 relations: 460656
  203. Fri Jul  1 23:06:56 2016  4 relations: 510996
  204. Fri Jul  1 23:06:56 2016  5 relations: 558006
  205. Fri Jul  1 23:06:56 2016  6 relations: 574114
  206. Fri Jul  1 23:06:56 2016  7 relations: 578427
  207. Fri Jul  1 23:06:56 2016  8 relations: 562601
  208. Fri Jul  1 23:06:56 2016  9 relations: 533168
  209. Fri Jul  1 23:06:56 2016  10+ relations: 3074430
  210. Fri Jul  1 23:06:56 2016  heaviest cycle: 28 relations
  211. Fri Jul  1 23:07:08 2016  RelProcTime: 6316
  212. Fri Jul  1 23:07:08 2016  
  213. Fri Jul  1 23:07:08 2016  commencing linear algebra
  214. Fri Jul  1 23:07:09 2016  read 7389779 cycles
  215. Fri Jul  1 23:07:25 2016  cycles contain 24371480 unique relations
  216. Fri Jul  1 23:11:28 2016  read 24371480 relations
  217. Fri Jul  1 23:12:04 2016  using 20 quadratic characters above 4294917295
  218. Fri Jul  1 23:13:33 2016  building initial matrix
  219. Fri Jul  1 23:17:58 2016  memory use: 3042.7 MB
  220. Fri Jul  1 23:18:05 2016  read 7389779 cycles
  221. Fri Jul  1 23:18:06 2016  matrix is 7389602 x 7389779 (3675.3 MB) with weight 1036414086 (140.25/col)
  222. Fri Jul  1 23:18:06 2016  sparse part has weight 882161276 (119.38/col)
  223. Fri Jul  1 23:19:18 2016  filtering completed in 2 passes
  224. Fri Jul  1 23:19:19 2016  matrix is 7389505 x 7389682 (3675.3 MB) with weight 1036410843 (140.25/col)
  225. Fri Jul  1 23:19:19 2016  sparse part has weight 882159949 (119.38/col)
  226. Fri Jul  1 23:19:43 2016  matrix starts at (0, 0)
  227. Fri Jul  1 23:19:44 2016  matrix is 7389505 x 7389682 (3675.3 MB) with weight 1036410843 (140.25/col)
  228. Fri Jul  1 23:19:44 2016  sparse part has weight 882159949 (119.38/col)
  229. Fri Jul  1 23:19:44 2016  saving the first 48 matrix rows for later
  230. Fri Jul  1 23:19:45 2016  matrix includes 64 packed rows
  231. Fri Jul  1 23:19:46 2016  matrix is 7389457 x 7389682 (3510.7 MB) with weight 906175720 (122.63/col)
  232. Fri Jul  1 23:19:46 2016  sparse part has weight 846403985 (114.54/col)
  233. Fri Jul  1 23:19:46 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  234. Fri Jul  1 23:20:26 2016  commencing Lanczos iteration (4 threads)
  235. Fri Jul  1 23:20:26 2016  memory use: 2962.7 MB
  236. Fri Jul  1 23:20:55 2016  linear algebra at 0.0%, ETA 37h54m
  237. Fri Jul  1 23:21:05 2016  checkpointing every 200000 dimensions
  238. Sun Jul  3 12:27:25 2016  lanczos halted after 116849 iterations (dim = 7389457)
  239. Sun Jul  3 12:27:35 2016  recovered 43 nontrivial dependencies
  240. Sun Jul  3 12:27:36 2016  BLanczosTime: 134428
  241. Sun Jul  3 12:27:36 2016  
  242. Sun Jul  3 12:27:36 2016  commencing square root phase
  243. Sun Jul  3 12:27:36 2016  handling dependencies 1 to 64
  244. Sun Jul  3 12:27:36 2016  reading relations for dependency 1
  245. Sun Jul  3 12:27:39 2016  read 3696433 cycles
  246. Sun Jul  3 12:27:45 2016  cycles contain 12187788 unique relations
  247. Sun Jul  3 12:31:03 2016  read 12187788 relations
  248. Sun Jul  3 12:31:49 2016  multiplying 12187788 relations
  249. Sun Jul  3 12:39:03 2016  multiply complete, coefficients have about 335.17 million bits
  250. Sun Jul  3 12:39:04 2016  initial square root is modulo 1032799
  251. Sun Jul  3 12:46:04 2016  GCD is N, no factor found
  252. Sun Jul  3 12:46:04 2016  reading relations for dependency 2
  253. Sun Jul  3 12:46:07 2016  read 3691915 cycles
  254. Sun Jul  3 12:46:14 2016  cycles contain 12184706 unique relations
  255. Sun Jul  3 12:49:32 2016  read 12184706 relations
  256. Sun Jul  3 12:50:19 2016  multiplying 12184706 relations
  257. Sun Jul  3 12:57:31 2016  multiply complete, coefficients have about 335.07 million bits
  258. Sun Jul  3 12:57:32 2016  initial square root is modulo 1029103
  259. Sun Jul  3 13:04:33 2016  sqrtTime: 2217
  260. Sun Jul  3 13:04:33 2016  p66 factor: 113608506372607151904218446998485756556655142128840184655755829041
  261. Sun Jul  3 13:04:33 2016  p171 factor: 324253073665084400379680733391484269707812991212812501766804492771513303344286530677576921485882645655638485671564243215547275544666850630419652739679076012687545517138649
  262. Sun Jul  3 13:04:33 2016  elapsed time 39:42:44
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