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  1. Mon Jul 18 22:41:27 2016  
  2. Mon Jul 18 22:41:27 2016  
  3. Mon Jul 18 22:41:27 2016  Msieve v. 1.53 (SVN 988M)
  4. Mon Jul 18 22:41:27 2016  random seeds: 45bd975c d3c1e545
  5. Mon Jul 18 22:41:27 2016  factoring 229547951227618113189123054929908720612998123697191704065480655103311889510464370926493950230245871839032642597791255174890081352861034033049062102073426911033330940398905244415845782924472351879108307703003123132026996629722026317 (231 digits)
  6. Mon Jul 18 22:41:28 2016  searching for 15-digit factors
  7. Mon Jul 18 22:41:30 2016  commencing number field sieve (231-digit input)
  8. Mon Jul 18 22:41:30 2016  R0: 2461059085914092013369600043
  9. Mon Jul 18 22:41:30 2016  R1: -901584688278452666822204589843750000000
  10. Mon Jul 18 22:41:30 2016  A0: 100
  11. Mon Jul 18 22:41:30 2016  A1: 0
  12. Mon Jul 18 22:41:30 2016  A2: 0
  13. Mon Jul 18 22:41:30 2016  A3: 0
  14. Mon Jul 18 22:41:30 2016  A4: 0
  15. Mon Jul 18 22:41:30 2016  A5: 0
  16. Mon Jul 18 22:41:30 2016  A6: 9
  17. Mon Jul 18 22:41:30 2016  skew 1.49, size 1.021e-11, alpha 0.103, combined = 6.557e-13 rroots = 0
  18. Mon Jul 18 22:41:30 2016  
  19. Mon Jul 18 22:41:30 2016  commencing relation filtering
  20. Mon Jul 18 22:41:30 2016  setting target matrix density to 130.0
  21. Mon Jul 18 22:41:30 2016  estimated available RAM is 65536.0 MB
  22. Mon Jul 18 22:41:30 2016  commencing duplicate removal, pass 1
  23. Mon Jul 18 23:00:52 2016  error -9 reading relation 157405875
  24. Mon Jul 18 23:03:18 2016  error -9 reading relation 177351877
  25. Mon Jul 18 23:05:32 2016  error -15 reading relation 195536365
  26. Mon Jul 18 23:08:41 2016  error -5 reading relation 221296986
  27. Mon Jul 18 23:13:17 2016  error -9 reading relation 258745446
  28. Mon Jul 18 23:13:26 2016  skipped 28 relations with b > 2^32
  29. Mon Jul 18 23:13:26 2016  skipped 4 relations with composite factors
  30. Mon Jul 18 23:13:26 2016  found 47823677 hash collisions in 259984622 relations
  31. Mon Jul 18 23:13:41 2016  added 1218823 free relations
  32. Mon Jul 18 23:13:41 2016  commencing duplicate removal, pass 2
  33. Mon Jul 18 23:17:35 2016  found 44622307 duplicates and 216581138 unique relations
  34. Mon Jul 18 23:17:35 2016  memory use: 1321.5 MB
  35. Mon Jul 18 23:17:35 2016  reading ideals above 720000
  36. Mon Jul 18 23:17:35 2016  commencing singleton removal, initial pass
  37. Mon Jul 18 23:44:00 2016  memory use: 5512.0 MB
  38. Mon Jul 18 23:44:00 2016  reading all ideals from disk
  39. Mon Jul 18 23:44:04 2016  memory use: 8368.4 MB
  40. Mon Jul 18 23:44:26 2016  keeping 178308245 ideals with weight <= 200, target excess is 1086705
  41. Mon Jul 18 23:44:52 2016  commencing in-memory singleton removal
  42. Mon Jul 18 23:45:08 2016  begin with 216581138 relations and 178308245 unique ideals
  43. Mon Jul 18 23:47:39 2016  reduce to 155128710 relations and 111604657 ideals in 11 passes
  44. Mon Jul 18 23:47:39 2016  max relations containing the same ideal: 173
  45. Mon Jul 18 23:48:39 2016  removing 9393617 relations and 7393617 ideals in 2000000 cliques
  46. Mon Jul 18 23:48:43 2016  commencing in-memory singleton removal
  47. Mon Jul 18 23:48:54 2016  begin with 145735093 relations and 111604657 unique ideals
  48. Mon Jul 18 23:50:17 2016  reduce to 145300816 relations and 103769660 ideals in 7 passes
  49. Mon Jul 18 23:50:17 2016  max relations containing the same ideal: 164
  50. Mon Jul 18 23:51:13 2016  removing 7196769 relations and 5196769 ideals in 2000000 cliques
  51. Mon Jul 18 23:51:17 2016  commencing in-memory singleton removal
  52. Mon Jul 18 23:51:27 2016  begin with 138104047 relations and 103769660 unique ideals
  53. Mon Jul 18 23:52:35 2016  reduce to 137812301 relations and 98276821 ideals in 6 passes
  54. Mon Jul 18 23:52:35 2016  max relations containing the same ideal: 157
  55. Mon Jul 18 23:53:28 2016  removing 6575056 relations and 4575056 ideals in 2000000 cliques
  56. Mon Jul 18 23:53:31 2016  commencing in-memory singleton removal
  57. Mon Jul 18 23:53:41 2016  begin with 131237245 relations and 98276821 unique ideals
  58. Mon Jul 18 23:54:45 2016  reduce to 130987662 relations and 93448563 ideals in 6 passes
  59. Mon Jul 18 23:54:45 2016  max relations containing the same ideal: 153
  60. Mon Jul 18 23:55:36 2016  removing 6246097 relations and 4246097 ideals in 2000000 cliques
  61. Mon Jul 18 23:55:38 2016  commencing in-memory singleton removal
  62. Mon Jul 18 23:55:48 2016  begin with 124741565 relations and 93448563 unique ideals
  63. Mon Jul 18 23:56:58 2016  reduce to 124512712 relations and 88970327 ideals in 7 passes
  64. Mon Jul 18 23:56:58 2016  max relations containing the same ideal: 151
  65. Mon Jul 18 23:57:46 2016  removing 6037722 relations and 4037722 ideals in 2000000 cliques
  66. Mon Jul 18 23:57:49 2016  commencing in-memory singleton removal
  67. Mon Jul 18 23:57:58 2016  begin with 118474990 relations and 88970327 unique ideals
  68. Mon Jul 18 23:59:04 2016  reduce to 118259247 relations and 84713612 ideals in 7 passes
  69. Mon Jul 18 23:59:04 2016  max relations containing the same ideal: 144
  70. Mon Jul 18 23:59:50 2016  removing 5891814 relations and 3891814 ideals in 2000000 cliques
  71. Mon Jul 18 23:59:53 2016  commencing in-memory singleton removal
  72. Tue Jul 19 00:00:01 2016  begin with 112367433 relations and 84713612 unique ideals
  73. Tue Jul 19 00:00:55 2016  reduce to 112159689 relations and 80610780 ideals in 6 passes
  74. Tue Jul 19 00:00:55 2016  max relations containing the same ideal: 139
  75. Tue Jul 19 00:01:39 2016  removing 5775734 relations and 3775734 ideals in 2000000 cliques
  76. Tue Jul 19 00:01:42 2016  commencing in-memory singleton removal
  77. Tue Jul 19 00:01:50 2016  begin with 106383955 relations and 80610780 unique ideals
  78. Tue Jul 19 00:02:40 2016  reduce to 106178729 relations and 76626427 ideals in 6 passes
  79. Tue Jul 19 00:02:41 2016  max relations containing the same ideal: 136
  80. Tue Jul 19 00:03:22 2016  removing 5688366 relations and 3688366 ideals in 2000000 cliques
  81. Tue Jul 19 00:03:24 2016  commencing in-memory singleton removal
  82. Tue Jul 19 00:03:32 2016  begin with 100490363 relations and 76626427 unique ideals
  83. Tue Jul 19 00:04:27 2016  reduce to 100286729 relations and 72730761 ideals in 7 passes
  84. Tue Jul 19 00:04:27 2016  max relations containing the same ideal: 131
  85. Tue Jul 19 00:05:06 2016  removing 5620045 relations and 3620045 ideals in 2000000 cliques
  86. Tue Jul 19 00:05:09 2016  commencing in-memory singleton removal
  87. Tue Jul 19 00:05:15 2016  begin with 94666684 relations and 72730761 unique ideals
  88. Tue Jul 19 00:06:00 2016  reduce to 94460220 relations and 68900454 ideals in 6 passes
  89. Tue Jul 19 00:06:00 2016  max relations containing the same ideal: 123
  90. Tue Jul 19 00:06:37 2016  removing 5565970 relations and 3565970 ideals in 2000000 cliques
  91. Tue Jul 19 00:06:39 2016  commencing in-memory singleton removal
  92. Tue Jul 19 00:06:46 2016  begin with 88894250 relations and 68900454 unique ideals
  93. Tue Jul 19 00:07:27 2016  reduce to 88685856 relations and 65122086 ideals in 6 passes
  94. Tue Jul 19 00:07:27 2016  max relations containing the same ideal: 119
  95. Tue Jul 19 00:08:02 2016  removing 5521791 relations and 3521791 ideals in 2000000 cliques
  96. Tue Jul 19 00:08:05 2016  commencing in-memory singleton removal
  97. Tue Jul 19 00:08:10 2016  begin with 83164065 relations and 65122086 unique ideals
  98. Tue Jul 19 00:08:49 2016  reduce to 82949509 relations and 61381464 ideals in 6 passes
  99. Tue Jul 19 00:08:49 2016  max relations containing the same ideal: 114
  100. Tue Jul 19 00:09:22 2016  removing 5487102 relations and 3487102 ideals in 2000000 cliques
  101. Tue Jul 19 00:09:24 2016  commencing in-memory singleton removal
  102. Tue Jul 19 00:09:29 2016  begin with 77462407 relations and 61381464 unique ideals
  103. Tue Jul 19 00:10:05 2016  reduce to 77242125 relations and 57669238 ideals in 6 passes
  104. Tue Jul 19 00:10:05 2016  max relations containing the same ideal: 109
  105. Tue Jul 19 00:10:36 2016  removing 5463783 relations and 3463783 ideals in 2000000 cliques
  106. Tue Jul 19 00:10:38 2016  commencing in-memory singleton removal
  107. Tue Jul 19 00:10:43 2016  begin with 71778342 relations and 57669238 unique ideals
  108. Tue Jul 19 00:11:16 2016  reduce to 71546534 relations and 53968244 ideals in 6 passes
  109. Tue Jul 19 00:11:16 2016  max relations containing the same ideal: 104
  110. Tue Jul 19 00:11:44 2016  removing 5444506 relations and 3444506 ideals in 2000000 cliques
  111. Tue Jul 19 00:11:46 2016  commencing in-memory singleton removal
  112. Tue Jul 19 00:11:50 2016  begin with 66102028 relations and 53968244 unique ideals
  113. Tue Jul 19 00:12:21 2016  reduce to 65858448 relations and 50274049 ideals in 6 passes
  114. Tue Jul 19 00:12:21 2016  max relations containing the same ideal: 96
  115. Tue Jul 19 00:12:46 2016  removing 5431758 relations and 3431758 ideals in 2000000 cliques
  116. Tue Jul 19 00:12:48 2016  commencing in-memory singleton removal
  117. Tue Jul 19 00:12:52 2016  begin with 60426690 relations and 50274049 unique ideals
  118. Tue Jul 19 00:13:20 2016  reduce to 60166419 relations and 46574903 ideals in 6 passes
  119. Tue Jul 19 00:13:20 2016  max relations containing the same ideal: 92
  120. Tue Jul 19 00:13:43 2016  removing 5427751 relations and 3427751 ideals in 2000000 cliques
  121. Tue Jul 19 00:13:45 2016  commencing in-memory singleton removal
  122. Tue Jul 19 00:13:48 2016  begin with 54738668 relations and 46574903 unique ideals
  123. Tue Jul 19 00:14:17 2016  reduce to 54458519 relations and 42858883 ideals in 7 passes
  124. Tue Jul 19 00:14:17 2016  max relations containing the same ideal: 84
  125. Tue Jul 19 00:14:38 2016  removing 5429303 relations and 3429303 ideals in 2000000 cliques
  126. Tue Jul 19 00:14:40 2016  commencing in-memory singleton removal
  127. Tue Jul 19 00:14:43 2016  begin with 49029216 relations and 42858883 unique ideals
  128. Tue Jul 19 00:15:05 2016  reduce to 48723648 relations and 39114368 ideals in 6 passes
  129. Tue Jul 19 00:15:05 2016  max relations containing the same ideal: 78
  130. Tue Jul 19 00:15:24 2016  removing 5439905 relations and 3439905 ideals in 2000000 cliques
  131. Tue Jul 19 00:15:26 2016  commencing in-memory singleton removal
  132. Tue Jul 19 00:15:28 2016  begin with 43283743 relations and 39114368 unique ideals
  133. Tue Jul 19 00:15:47 2016  reduce to 42943552 relations and 35322600 ideals in 6 passes
  134. Tue Jul 19 00:15:47 2016  max relations containing the same ideal: 75
  135. Tue Jul 19 00:16:04 2016  removing 5457422 relations and 3457422 ideals in 2000000 cliques
  136. Tue Jul 19 00:16:06 2016  commencing in-memory singleton removal
  137. Tue Jul 19 00:16:08 2016  begin with 37486130 relations and 35322600 unique ideals
  138. Tue Jul 19 00:16:24 2016  reduce to 37098256 relations and 31462253 ideals in 6 passes
  139. Tue Jul 19 00:16:24 2016  max relations containing the same ideal: 69
  140. Tue Jul 19 00:16:38 2016  removing 5484557 relations and 3484557 ideals in 2000000 cliques
  141. Tue Jul 19 00:16:40 2016  commencing in-memory singleton removal
  142. Tue Jul 19 00:16:42 2016  begin with 31613699 relations and 31462253 unique ideals
  143. Tue Jul 19 00:16:57 2016  reduce to 31153738 relations and 27497218 ideals in 7 passes
  144. Tue Jul 19 00:16:57 2016  max relations containing the same ideal: 59
  145. Tue Jul 19 00:17:09 2016  removing 5533923 relations and 3533923 ideals in 2000000 cliques
  146. Tue Jul 19 00:17:11 2016  commencing in-memory singleton removal
  147. Tue Jul 19 00:17:12 2016  begin with 25619815 relations and 27497218 unique ideals
  148. Tue Jul 19 00:17:24 2016  reduce to 25033149 relations and 23345329 ideals in 7 passes
  149. Tue Jul 19 00:17:24 2016  max relations containing the same ideal: 53
  150. Tue Jul 19 00:17:34 2016  removing 1545024 relations and 1117782 ideals in 427242 cliques
  151. Tue Jul 19 00:17:35 2016  commencing in-memory singleton removal
  152. Tue Jul 19 00:17:36 2016  begin with 23488125 relations and 23345329 unique ideals
  153. Tue Jul 19 00:17:45 2016  reduce to 23401355 relations and 22139282 ideals in 6 passes
  154. Tue Jul 19 00:17:45 2016  max relations containing the same ideal: 50
  155. Tue Jul 19 00:17:57 2016  relations with 0 large ideals: 40998
  156. Tue Jul 19 00:17:57 2016  relations with 1 large ideals: 45531
  157. Tue Jul 19 00:17:57 2016  relations with 2 large ideals: 480559
  158. Tue Jul 19 00:17:57 2016  relations with 3 large ideals: 2133635
  159. Tue Jul 19 00:17:57 2016  relations with 4 large ideals: 4900496
  160. Tue Jul 19 00:17:57 2016  relations with 5 large ideals: 6506356
  161. Tue Jul 19 00:17:57 2016  relations with 6 large ideals: 5274379
  162. Tue Jul 19 00:17:57 2016  relations with 7+ large ideals: 4019401
  163. Tue Jul 19 00:17:57 2016  commencing 2-way merge
  164. Tue Jul 19 00:18:09 2016  reduce to 15919349 relation sets and 14657276 unique ideals
  165. Tue Jul 19 00:18:09 2016  commencing full merge
  166. Tue Jul 19 00:23:37 2016  memory use: 1857.5 MB
  167. Tue Jul 19 00:23:40 2016  found 6976834 cycles, need 6895476
  168. Tue Jul 19 00:23:40 2016  weight of 6895476 cycles is about 897029724 (130.09/cycle)
  169. Tue Jul 19 00:23:40 2016  distribution of cycle lengths:
  170. Tue Jul 19 00:23:40 2016  1 relations: 172922
  171. Tue Jul 19 00:23:40 2016  2 relations: 300896
  172. Tue Jul 19 00:23:40 2016  3 relations: 389362
  173. Tue Jul 19 00:23:40 2016  4 relations: 435412
  174. Tue Jul 19 00:23:40 2016  5 relations: 472637
  175. Tue Jul 19 00:23:40 2016  6 relations: 489478
  176. Tue Jul 19 00:23:40 2016  7 relations: 495863
  177. Tue Jul 19 00:23:40 2016  8 relations: 485258
  178. Tue Jul 19 00:23:40 2016  9 relations: 468878
  179. Tue Jul 19 00:23:40 2016  10+ relations: 3184770
  180. Tue Jul 19 00:23:40 2016  heaviest cycle: 28 relations
  181. Tue Jul 19 00:23:42 2016  commencing cycle optimization
  182. Tue Jul 19 00:23:57 2016  start with 67037677 relations
  183. Tue Jul 19 00:26:59 2016  pruned 3790538 relations
  184. Tue Jul 19 00:26:59 2016  memory use: 1652.2 MB
  185. Tue Jul 19 00:26:59 2016  distribution of cycle lengths:
  186. Tue Jul 19 00:26:59 2016  1 relations: 172922
  187. Tue Jul 19 00:26:59 2016  2 relations: 309592
  188. Tue Jul 19 00:26:59 2016  3 relations: 407776
  189. Tue Jul 19 00:26:59 2016  4 relations: 458041
  190. Tue Jul 19 00:26:59 2016  5 relations: 502342
  191. Tue Jul 19 00:26:59 2016  6 relations: 521717
  192. Tue Jul 19 00:26:59 2016  7 relations: 532537
  193. Tue Jul 19 00:26:59 2016  8 relations: 519797
  194. Tue Jul 19 00:26:59 2016  9 relations: 502535
  195. Tue Jul 19 00:26:59 2016  10+ relations: 2968217
  196. Tue Jul 19 00:26:59 2016  heaviest cycle: 28 relations
  197. Tue Jul 19 00:27:12 2016  RelProcTime: 6342
  198. Tue Jul 19 00:27:12 2016  
  199. Tue Jul 19 00:27:12 2016  commencing linear algebra
  200. Tue Jul 19 00:27:13 2016  read 6895476 cycles
  201. Tue Jul 19 00:27:28 2016  cycles contain 22849734 unique relations
  202. Tue Jul 19 00:31:52 2016  read 22849734 relations
  203. Tue Jul 19 00:32:38 2016  using 20 quadratic characters above 4294917295
  204. Tue Jul 19 00:34:00 2016  building initial matrix
  205. Tue Jul 19 00:38:24 2016  memory use: 2931.7 MB
  206. Tue Jul 19 00:38:30 2016  read 6895476 cycles
  207. Tue Jul 19 00:38:31 2016  matrix is 6895298 x 6895476 (3425.4 MB) with weight 984036714 (142.71/col)
  208. Tue Jul 19 00:38:31 2016  sparse part has weight 822101479 (119.22/col)
  209. Tue Jul 19 00:40:02 2016  filtering completed in 2 passes
  210. Tue Jul 19 00:40:03 2016  matrix is 6895123 x 6895301 (3425.4 MB) with weight 984028040 (142.71/col)
  211. Tue Jul 19 00:40:03 2016  sparse part has weight 822096835 (119.23/col)
  212. Tue Jul 19 00:40:28 2016  matrix starts at (0, 0)
  213. Tue Jul 19 00:40:29 2016  matrix is 6895123 x 6895301 (3425.4 MB) with weight 984028040 (142.71/col)
  214. Tue Jul 19 00:40:29 2016  sparse part has weight 822096835 (119.23/col)
  215. Tue Jul 19 00:40:29 2016  saving the first 48 matrix rows for later
  216. Tue Jul 19 00:40:30 2016  matrix includes 64 packed rows
  217. Tue Jul 19 00:40:31 2016  matrix is 6895075 x 6895301 (3283.2 MB) with weight 853330494 (123.76/col)
  218. Tue Jul 19 00:40:31 2016  sparse part has weight 791715428 (114.82/col)
  219. Tue Jul 19 00:40:31 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  220. Tue Jul 19 00:41:13 2016  commencing Lanczos iteration (6 threads)
  221. Tue Jul 19 00:41:13 2016  memory use: 2783.7 MB
  222. Tue Jul 19 00:41:32 2016  linear algebra at 0.0%, ETA 22h42m
  223. Tue Jul 19 00:41:38 2016  checkpointing every 310000 dimensions
  224. Tue Jul 19 23:36:29 2016  lanczos halted after 109040 iterations (dim = 6895075)
  225. Tue Jul 19 23:36:36 2016  recovered 42 nontrivial dependencies
  226. Tue Jul 19 23:36:37 2016  BLanczosTime: 83365
  227. Tue Jul 19 23:36:37 2016  
  228. Tue Jul 19 23:36:37 2016  commencing square root phase
  229. Tue Jul 19 23:36:37 2016  handling dependencies 1 to 64
  230. Tue Jul 19 23:36:37 2016  reading relations for dependency 1
  231. Tue Jul 19 23:36:39 2016  read 3446169 cycles
  232. Tue Jul 19 23:36:46 2016  cycles contain 11422682 unique relations
  233. Tue Jul 19 23:40:21 2016  read 11422682 relations
  234. Tue Jul 19 23:41:08 2016  multiplying 11422682 relations
  235. Tue Jul 19 23:49:13 2016  multiply complete, coefficients have about 321.76 million bits
  236. Tue Jul 19 23:49:14 2016  initial square root is modulo 593539
  237. Tue Jul 19 23:57:27 2016  GCD is N, no factor found
  238. Tue Jul 19 23:57:27 2016  reading relations for dependency 2
  239. Tue Jul 19 23:57:28 2016  read 3447573 cycles
  240. Tue Jul 19 23:57:35 2016  cycles contain 11429444 unique relations
  241. Wed Jul 20 00:01:09 2016  read 11429444 relations
  242. Wed Jul 20 00:01:56 2016  multiplying 11429444 relations
  243. Wed Jul 20 00:09:59 2016  multiply complete, coefficients have about 321.95 million bits
  244. Wed Jul 20 00:10:00 2016  initial square root is modulo 598303
  245. Wed Jul 20 00:18:11 2016  sqrtTime: 2494
  246. Wed Jul 20 00:18:11 2016  p93 factor: 255230742347513247224958382558085135406614663878788672192568277657037658825217620449120757453
  247. Wed Jul 20 00:18:11 2016  p138 factor: 899374225519720722389832150672843637764469021601057821532124052337141857868825618578207647421278961440077536828394724519584676572567721089
  248. Wed Jul 20 00:18:11 2016  elapsed time 25:36:44
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