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GW_3_480

CarlosPinho Jun 4th, 2016 95 Never
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  1. Sat May 31 07:24:48 2014  Msieve v. 1.52 (SVN unknown)
  2. Sat May 31 07:24:48 2014  random seeds: d9aa7055 1836e7df
  3. Sat May 31 07:24:48 2014  factoring 46440109530116700673254813896507832040046665767364511476533171224117633709753022723035827751879544346522579730159671798058557500130422624073832625161208423826411408067162620338819248016554842871010191502869057898403380503298007 (227 digits)
  4. Sat May 31 07:24:49 2014  searching for 15-digit factors
  5. Sat May 31 07:24:50 2014  commencing number field sieve (227-digit input)
  6. Sat May 31 07:24:50 2014  R0: -147808829414345923316083210206383297601
  7. Sat May 31 07:24:50 2014  R1: 1
  8. Sat May 31 07:24:50 2014  A0: 1
  9. Sat May 31 07:24:50 2014  A1: 0
  10. Sat May 31 07:24:50 2014  A2: 0
  11. Sat May 31 07:24:50 2014  A3: 0
  12. Sat May 31 07:24:50 2014  A4: 0
  13. Sat May 31 07:24:50 2014  A5: 0
  14. Sat May 31 07:24:50 2014  A6: 480
  15. Sat May 31 07:24:50 2014  skew 1.00, size 2.720e-11, alpha -1.518, combined = 1.284e-12 rroots = 0
  16. Sat May 31 07:24:50 2014  
  17. Sat May 31 07:24:50 2014  commencing relation filtering
  18. Sat May 31 07:24:50 2014  setting target matrix density to 124.0
  19. Sat May 31 07:24:50 2014  estimated available RAM is 16030.3 MB
  20. Sat May 31 07:24:50 2014  commencing duplicate removal, pass 1
  21. Sat May 31 07:26:07 2014  error -15 reading relation 16476488
  22. Sat May 31 07:26:50 2014  error -15 reading relation 25740272
  23. Sat May 31 07:26:50 2014  error -1 reading relation 25740273
  24. Sat May 31 07:26:50 2014  error -1 reading relation 25740274
  25. Sat May 31 07:26:50 2014  error -5 reading relation 25740275
  26. [ . . . 63,000 error (mostly -1) records removed . . . ]
  27. Sat May 31 08:45:05 2014  error -15 reading relation 158731617
  28. Sat May 31 08:45:10 2014  error -1 reading relation 159698798
  29. Sat May 31 08:45:20 2014  error -9 reading relation 161806887
  30. Sat May 31 08:45:28 2014  error -9 reading relation 163655178
  31. Sat May 31 08:45:31 2014  error -15 reading relation 164256496
  32. Sat May 31 08:45:31 2014  error -15 reading relation 164266702
  33. Sat May 31 08:45:32 2014  error -9 reading relation 164540121
  34. Sat May 31 08:45:39 2014  error -9 reading relation 165927895
  35. Sat May 31 08:45:39 2014  error -9 reading relation 165931492
  36. Sat May 31 08:45:39 2014  error -1 reading relation 165932234
  37. Sat May 31 08:45:44 2014  error -15 reading relation 167085005
  38. Sat May 31 08:46:04 2014  skipped 211 relations with b > 2^32
  39. Sat May 31 08:46:04 2014  found 30352177 hash collisions in 169092303 relations
  40. Sat May 31 08:46:14 2014  commencing duplicate removal, pass 2
  41. Sat May 31 08:49:30 2014  found 30013861 duplicates and 139078442 unique relations
  42. Sat May 31 08:49:30 2014  memory use: 852.8 MB
  43. Sat May 31 08:49:30 2014  reading ideals above 99942400
  44. Sat May 31 08:49:30 2014  commencing singleton removal, initial pass
  45. Sat May 31 09:02:33 2014  memory use: 2756.0 MB
  46. Sat May 31 09:02:33 2014  reading all ideals from disk
  47. Sat May 31 09:02:54 2014  memory use: 2270.7 MB
  48. Sat May 31 09:02:58 2014  commencing in-memory singleton removal
  49. Sat May 31 09:03:03 2014  begin with 139078442 relations and 87473777 unique ideals
  50. Sat May 31 09:03:36 2014  reduce to 116081181 relations and 63261838 ideals in 9 passes
  51. Sat May 31 09:03:36 2014  max relations containing the same ideal: 49
  52. Sat May 31 09:03:40 2014  reading ideals above 720000
  53. Sat May 31 09:03:40 2014  commencing singleton removal, initial pass
  54. Sat May 31 09:17:09 2014  memory use: 1506.0 MB
  55. Sat May 31 09:17:09 2014  reading all ideals from disk
  56. Sat May 31 09:18:02 2014  memory use: 4376.5 MB
  57. Sat May 31 09:18:13 2014  keeping 74175937 ideals with weight <= 200, target excess is 599415
  58. Sat May 31 09:18:23 2014  commencing in-memory singleton removal
  59. Sat May 31 09:18:30 2014  begin with 116081181 relations and 74175937 unique ideals
  60. Sat May 31 09:18:49 2014  reduce to 116081078 relations and 74175834 ideals in 3 passes
  61. Sat May 31 09:18:49 2014  max relations containing the same ideal: 200
  62. Sat May 31 09:19:20 2014  removing 6510843 relations and 4510843 ideals in 2000000 cliques
  63. Sat May 31 09:19:23 2014  commencing in-memory singleton removal
  64. Sat May 31 09:19:28 2014  begin with 109570235 relations and 74175834 unique ideals
  65. Sat May 31 09:20:04 2014  reduce to 109253272 relations and 69340890 ideals in 6 passes
  66. Sat May 31 09:20:04 2014  max relations containing the same ideal: 198
  67. Sat May 31 09:20:31 2014  removing 5393548 relations and 3393548 ideals in 2000000 cliques
  68. Sat May 31 09:20:34 2014  commencing in-memory singleton removal
  69. Sat May 31 09:20:39 2014  begin with 103859724 relations and 69340890 unique ideals
  70. Sat May 31 09:21:18 2014  reduce to 103655637 relations and 65739459 ideals in 7 passes
  71. Sat May 31 09:21:18 2014  max relations containing the same ideal: 196
  72. Sat May 31 09:21:44 2014  removing 5100566 relations and 3100566 ideals in 2000000 cliques
  73. Sat May 31 09:21:46 2014  commencing in-memory singleton removal
  74. Sat May 31 09:21:51 2014  begin with 98555071 relations and 65739459 unique ideals
  75. Sat May 31 09:22:23 2014  reduce to 98387648 relations and 62468376 ideals in 6 passes
  76. Sat May 31 09:22:23 2014  max relations containing the same ideal: 192
  77. Sat May 31 09:22:47 2014  removing 4938991 relations and 2938991 ideals in 2000000 cliques
  78. Sat May 31 09:22:49 2014  commencing in-memory singleton removal
  79. Sat May 31 09:22:54 2014  begin with 93448657 relations and 62468376 unique ideals
  80. Sat May 31 09:23:19 2014  reduce to 93299218 relations and 59377120 ideals in 5 passes
  81. Sat May 31 09:23:19 2014  max relations containing the same ideal: 185
  82. Sat May 31 09:23:43 2014  removing 4832659 relations and 2832659 ideals in 2000000 cliques
  83. Sat May 31 09:23:45 2014  commencing in-memory singleton removal
  84. Sat May 31 09:23:49 2014  begin with 88466559 relations and 59377120 unique ideals
  85. Sat May 31 09:24:17 2014  reduce to 88329278 relations and 56404513 ideals in 6 passes
  86. Sat May 31 09:24:17 2014  max relations containing the same ideal: 179
  87. Sat May 31 09:24:40 2014  removing 4747714 relations and 2747714 ideals in 2000000 cliques
  88. Sat May 31 09:24:42 2014  commencing in-memory singleton removal
  89. Sat May 31 09:24:46 2014  begin with 83581564 relations and 56404513 unique ideals
  90. Sat May 31 09:25:08 2014  reduce to 83450565 relations and 53523182 ideals in 5 passes
  91. Sat May 31 09:25:08 2014  max relations containing the same ideal: 172
  92. Sat May 31 09:25:29 2014  removing 4687422 relations and 2687422 ideals in 2000000 cliques
  93. Sat May 31 09:25:31 2014  commencing in-memory singleton removal
  94. Sat May 31 09:25:35 2014  begin with 78763143 relations and 53523182 unique ideals
  95. Sat May 31 09:25:56 2014  reduce to 78636251 relations and 50706319 ideals in 5 passes
  96. Sat May 31 09:25:56 2014  max relations containing the same ideal: 165
  97. Sat May 31 09:26:15 2014  removing 4632574 relations and 2632574 ideals in 2000000 cliques
  98. Sat May 31 09:26:17 2014  commencing in-memory singleton removal
  99. Sat May 31 09:26:21 2014  begin with 74003677 relations and 50706319 unique ideals
  100. Sat May 31 09:26:44 2014  reduce to 73877594 relations and 47945054 ideals in 6 passes
  101. Sat May 31 09:26:44 2014  max relations containing the same ideal: 161
  102. Sat May 31 09:27:02 2014  removing 4588592 relations and 2588592 ideals in 2000000 cliques
  103. Sat May 31 09:27:04 2014  commencing in-memory singleton removal
  104. Sat May 31 09:27:07 2014  begin with 69289002 relations and 47945054 unique ideals
  105. Sat May 31 09:27:26 2014  reduce to 69163373 relations and 45228071 ideals in 5 passes
  106. Sat May 31 09:27:26 2014  max relations containing the same ideal: 155
  107. Sat May 31 09:27:43 2014  removing 4550863 relations and 2550863 ideals in 2000000 cliques
  108. Sat May 31 09:27:44 2014  commencing in-memory singleton removal
  109. Sat May 31 09:27:48 2014  begin with 64612510 relations and 45228071 unique ideals
  110. Sat May 31 09:28:05 2014  reduce to 64484485 relations and 42546270 ideals in 5 passes
  111. Sat May 31 09:28:05 2014  max relations containing the same ideal: 146
  112. Sat May 31 09:28:21 2014  removing 4517902 relations and 2517902 ideals in 2000000 cliques
  113. Sat May 31 09:28:22 2014  commencing in-memory singleton removal
  114. Sat May 31 09:28:25 2014  begin with 59966583 relations and 42546270 unique ideals
  115. Sat May 31 09:28:41 2014  reduce to 59835893 relations and 39894621 ideals in 5 passes
  116. Sat May 31 09:28:41 2014  max relations containing the same ideal: 139
  117. Sat May 31 09:28:55 2014  removing 4489831 relations and 2489831 ideals in 2000000 cliques
  118. Sat May 31 09:28:57 2014  commencing in-memory singleton removal
  119. Sat May 31 09:29:00 2014  begin with 55346062 relations and 39894621 unique ideals
  120. Sat May 31 09:29:14 2014  reduce to 55210805 relations and 37266193 ideals in 5 passes
  121. Sat May 31 09:29:14 2014  max relations containing the same ideal: 133
  122. Sat May 31 09:29:28 2014  removing 4463499 relations and 2463499 ideals in 2000000 cliques
  123. Sat May 31 09:29:29 2014  commencing in-memory singleton removal
  124. Sat May 31 09:29:32 2014  begin with 50747306 relations and 37266193 unique ideals
  125. Sat May 31 09:29:45 2014  reduce to 50605030 relations and 34656794 ideals in 5 passes
  126. Sat May 31 09:29:45 2014  max relations containing the same ideal: 123
  127. Sat May 31 09:29:57 2014  removing 4443701 relations and 2443701 ideals in 2000000 cliques
  128. Sat May 31 09:29:59 2014  commencing in-memory singleton removal
  129. Sat May 31 09:30:01 2014  begin with 46161329 relations and 34656794 unique ideals
  130. Sat May 31 09:30:13 2014  reduce to 46009892 relations and 32057631 ideals in 5 passes
  131. Sat May 31 09:30:13 2014  max relations containing the same ideal: 117
  132. Sat May 31 09:30:24 2014  removing 4423475 relations and 2423475 ideals in 2000000 cliques
  133. Sat May 31 09:30:25 2014  commencing in-memory singleton removal
  134. Sat May 31 09:30:27 2014  begin with 41586417 relations and 32057631 unique ideals
  135. Sat May 31 09:30:38 2014  reduce to 41423327 relations and 29466369 ideals in 5 passes
  136. Sat May 31 09:30:38 2014  max relations containing the same ideal: 106
  137. Sat May 31 09:30:48 2014  removing 4408286 relations and 2408286 ideals in 2000000 cliques
  138. Sat May 31 09:30:49 2014  commencing in-memory singleton removal
  139. Sat May 31 09:30:51 2014  begin with 37015041 relations and 29466369 unique ideals
  140. Sat May 31 09:31:00 2014  reduce to 36836242 relations and 26873590 ideals in 5 passes
  141. Sat May 31 09:31:00 2014  max relations containing the same ideal: 101
  142. Sat May 31 09:31:09 2014  removing 4398323 relations and 2398323 ideals in 2000000 cliques
  143. Sat May 31 09:31:10 2014  commencing in-memory singleton removal
  144. Sat May 31 09:31:12 2014  begin with 32437919 relations and 26873590 unique ideals
  145. Sat May 31 09:31:22 2014  reduce to 32239435 relations and 24269794 ideals in 6 passes
  146. Sat May 31 09:31:22 2014  max relations containing the same ideal: 96
  147. Sat May 31 09:31:29 2014  removing 4390314 relations and 2390314 ideals in 2000000 cliques
  148. Sat May 31 09:31:31 2014  commencing in-memory singleton removal
  149. Sat May 31 09:31:32 2014  begin with 27849121 relations and 24269794 unique ideals
  150. Sat May 31 09:31:39 2014  reduce to 27620666 relations and 21641967 ideals in 5 passes
  151. Sat May 31 09:31:39 2014  max relations containing the same ideal: 82
  152. Sat May 31 09:31:45 2014  removing 4387349 relations and 2387349 ideals in 2000000 cliques
  153. Sat May 31 09:31:46 2014  commencing in-memory singleton removal
  154. Sat May 31 09:31:48 2014  begin with 23233317 relations and 21641967 unique ideals
  155. Sat May 31 09:31:54 2014  reduce to 22960292 relations and 18968985 ideals in 6 passes
  156. Sat May 31 09:31:54 2014  max relations containing the same ideal: 73
  157. Sat May 31 09:32:00 2014  removing 4400736 relations and 2400736 ideals in 2000000 cliques
  158. Sat May 31 09:32:01 2014  commencing in-memory singleton removal
  159. Sat May 31 09:32:02 2014  begin with 18559556 relations and 18968985 unique ideals
  160. Sat May 31 09:32:09 2014  reduce to 18201324 relations and 16190178 ideals in 8 passes
  161. Sat May 31 09:32:09 2014  max relations containing the same ideal: 62
  162. Sat May 31 09:32:13 2014  removing 3034238 relations and 1718414 ideals in 1315824 cliques
  163. Sat May 31 09:32:14 2014  commencing in-memory singleton removal
  164. Sat May 31 09:32:15 2014  begin with 15167086 relations and 16190178 unique ideals
  165. Sat May 31 09:32:20 2014  reduce to 14771873 relations and 14053006 ideals in 7 passes
  166. Sat May 31 09:32:20 2014  max relations containing the same ideal: 54
  167. Sat May 31 09:32:23 2014  removing 115696 relations and 92151 ideals in 23545 cliques
  168. Sat May 31 09:32:24 2014  commencing in-memory singleton removal
  169. Sat May 31 09:32:25 2014  begin with 14656177 relations and 14053006 unique ideals
  170. Sat May 31 09:32:27 2014  reduce to 14654858 relations and 13959530 ideals in 4 passes
  171. Sat May 31 09:32:27 2014  max relations containing the same ideal: 54
  172. Sat May 31 09:32:29 2014  relations with 0 large ideals: 22663
  173. Sat May 31 09:32:29 2014  relations with 1 large ideals: 17857
  174. Sat May 31 09:32:29 2014  relations with 2 large ideals: 199420
  175. Sat May 31 09:32:29 2014  relations with 3 large ideals: 958504
  176. Sat May 31 09:32:29 2014  relations with 4 large ideals: 2436684
  177. Sat May 31 09:32:29 2014  relations with 5 large ideals: 3693970
  178. Sat May 31 09:32:29 2014  relations with 6 large ideals: 3577239
  179. Sat May 31 09:32:29 2014  relations with 7+ large ideals: 3748521
  180. Sat May 31 09:32:29 2014  commencing 2-way merge
  181. Sat May 31 09:32:34 2014  reduce to 11645967 relation sets and 10950639 unique ideals
  182. Sat May 31 09:32:34 2014  commencing full merge
  183. Sat May 31 09:35:25 2014  memory use: 1283.2 MB
  184. Sat May 31 09:35:25 2014  found 4930402 cycles, need 4912839
  185. Sat May 31 09:35:27 2014  weight of 4912839 cycles is about 580534202 (118.17/cycle)
  186. Sat May 31 09:35:27 2014  distribution of cycle lengths:
  187. Sat May 31 09:35:27 2014  1 relations: 110194
  188. Sat May 31 09:35:27 2014  2 relations: 256618
  189. Sat May 31 09:35:27 2014  3 relations: 359637
  190. Sat May 31 09:35:27 2014  4 relations: 406334
  191. Sat May 31 09:35:27 2014  5 relations: 430343
  192. Sat May 31 09:35:27 2014  6 relations: 422115
  193. Sat May 31 09:35:27 2014  7 relations: 397993
  194. Sat May 31 09:35:27 2014  8 relations: 362431
  195. Sat May 31 09:35:27 2014  9 relations: 322149
  196. Sat May 31 09:35:27 2014  10+ relations: 1845025
  197. Sat May 31 09:35:27 2014  heaviest cycle: 28 relations
  198. Sat May 31 09:35:28 2014  commencing cycle optimization
  199. Sat May 31 09:35:35 2014  start with 43694291 relations
  200. Sat May 31 09:36:52 2014  pruned 3035341 relations
  201. Sat May 31 09:36:52 2014  memory use: 1054.9 MB
  202. Sat May 31 09:36:52 2014  distribution of cycle lengths:
  203. Sat May 31 09:36:52 2014  1 relations: 110194
  204. Sat May 31 09:36:52 2014  2 relations: 265843
  205. Sat May 31 09:36:52 2014  3 relations: 381404
  206. Sat May 31 09:36:52 2014  4 relations: 434290
  207. Sat May 31 09:36:52 2014  5 relations: 465927
  208. Sat May 31 09:36:52 2014  6 relations: 455348
  209. Sat May 31 09:36:52 2014  7 relations: 430091
  210. Sat May 31 09:36:52 2014  8 relations: 385629
  211. Sat May 31 09:36:52 2014  9 relations: 340334
  212. Sat May 31 09:36:52 2014  10+ relations: 1643779
  213. Sat May 31 09:36:52 2014  heaviest cycle: 28 relations
  214. Sat May 31 09:36:57 2014  RelProcTime: 3861
  215. Sat May 31 09:36:57 2014  
  216. Sat May 31 09:36:57 2014  commencing linear algebra
  217. Sat May 31 09:36:59 2014  read 4912839 cycles
  218. Sat May 31 09:37:07 2014  cycles contain 14368345 unique relations
  219. Sat May 31 09:40:33 2014  read 14368345 relations
  220. Sat May 31 09:40:50 2014  using 20 quadratic characters above 1073740124
  221. Sat May 31 09:41:38 2014  building initial matrix
  222. Sat May 31 09:44:36 2014  memory use: 1942.5 MB
  223. Sat May 31 09:44:37 2014  read 4912839 cycles
  224. Sat May 31 09:44:38 2014  matrix is 4912662 x 4912839 (2207.3 MB) with weight 658027390 (133.94/col)
  225. Sat May 31 09:44:38 2014  sparse part has weight 524585489 (106.78/col)
  226. Sat May 31 09:45:18 2014  filtering completed in 2 passes
  227. Sat May 31 09:45:19 2014  matrix is 4912468 x 4912645 (2207.3 MB) with weight 658018821 (133.94/col)
  228. Sat May 31 09:45:19 2014  sparse part has weight 524582578 (106.78/col)
  229. Sat May 31 09:45:39 2014  matrix starts at (0, 0)
  230. Sat May 31 09:45:39 2014  matrix is 4912468 x 4912645 (2207.3 MB) with weight 658018821 (133.94/col)
  231. Sat May 31 09:45:39 2014  sparse part has weight 524582578 (106.78/col)
  232. Sat May 31 09:45:39 2014  saving the first 48 matrix rows for later
  233. Sat May 31 09:45:40 2014  matrix includes 64 packed rows
  234. Sat May 31 09:45:41 2014  matrix is 4912420 x 4912645 (2127.3 MB) with weight 557511905 (113.49/col)
  235. Sat May 31 09:45:41 2014  sparse part has weight 508526190 (103.51/col)
  236. Sat May 31 09:45:41 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  237. Sat May 31 09:45:56 2014  commencing Lanczos iteration (4 threads)
  238. Sat May 31 09:45:56 2014  memory use: 1783.3 MB
  239. Sat May 31 09:46:12 2014  linear algebra at 0.0%, ETA 13h27m
  240. Sat May 31 09:46:17 2014  checkpointing every 370000 dimensions
  241. Sat May 31 23:30:16 2014  lanczos halted after 77685 iterations (dim = 4912419)
  242. Sat May 31 23:30:20 2014  recovered 36 nontrivial dependencies
  243. Sat May 31 23:30:20 2014  BLanczosTime: 50003
  244. Sat May 31 23:30:20 2014  
  245. Sat May 31 23:30:20 2014  commencing square root phase
  246. Sat May 31 23:30:20 2014  handling dependencies 1 to 64
  247. Sat May 31 23:30:20 2014  reading relations for dependency 1
  248. Sat May 31 23:30:21 2014  read 2455482 cycles
  249. Sat May 31 23:30:24 2014  cycles contain 7180758 unique relations
  250. Sat May 31 23:33:28 2014  read 7180758 relations
  251. Sat May 31 23:33:53 2014  multiplying 7180758 relations
  252. Sat May 31 23:38:15 2014  multiply complete, coefficients have about 235.15 million bits
  253. Sat May 31 23:38:16 2014  initial square root is modulo 274664833
  254. Sat May 31 23:43:18 2014  sqrtTime: 778
  255. Sat May 31 23:43:18 2014  prp107 factor: 75459052010792357332187545900034145096359342679522332939386097305826953891124342765279028026368835757430469
  256. Sat May 31 23:43:18 2014  prp120 factor: 615434574018697065474164844871817072246192777361841174938759752035748764103418335564021148275354263935723639974282151403
  257. Sat May 31 23:43:18 2014  elapsed time 15:10:44
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