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GC_3_480

CarlosPinho May 27th, 2016 95 Never
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  1. Wed Jun 04 15:48:55 2014  
  2. Wed Jun 04 15:48:55 2014  
  3. Wed Jun 04 15:48:55 2014  Msieve v. 1.52 (SVN unknown)
  4. Wed Jun 04 15:48:55 2014  random seeds: 44eca6c8 008cd706
  5. Wed Jun 04 15:48:55 2014  factoring 1461697887749037235502813069519781258958796060520728715237503557268409345180327375468940679895267515581874725626041939886931067280346121330222891422130850398880888069715635391890446272064985957925637860278376534669352353086989 (226 digits)
  6. Wed Jun 04 15:48:56 2014  no P-1/P+1/ECM available, skipping
  7. Wed Jun 04 15:48:56 2014  commencing number field sieve (226-digit input)
  8. Wed Jun 04 15:48:56 2014  R0: -147808829414345923316083210206383297601
  9. Wed Jun 04 15:48:56 2014  R1: 1
  10. Wed Jun 04 15:48:56 2014  A0: -1
  11. Wed Jun 04 15:48:56 2014  A1: 0
  12. Wed Jun 04 15:48:56 2014  A2: 0
  13. Wed Jun 04 15:48:56 2014  A3: 0
  14. Wed Jun 04 15:48:56 2014  A4: 0
  15. Wed Jun 04 15:48:56 2014  A5: 0
  16. Wed Jun 04 15:48:56 2014  A6: 480
  17. Wed Jun 04 15:48:56 2014  skew 1.00, size 2.140e-011, alpha -0.323, combined = 1.071e-012 rroots = 2
  18. Wed Jun 04 15:48:56 2014  
  19. Wed Jun 04 15:48:56 2014  commencing relation filtering
  20. Wed Jun 04 15:48:56 2014  setting target matrix density to 125.0
  21. Wed Jun 04 15:48:56 2014  estimated available RAM is 16313.4 MB
  22. Wed Jun 04 15:48:56 2014  commencing duplicate removal, pass 1
  23. Wed Jun 04 16:04:54 2014  skipped 98 relations with b > 2^32
  24. Wed Jun 04 16:04:54 2014  found 3186903 hash collisions in 119105901 relations
  25. Wed Jun 04 16:05:17 2014  added 1219447 free relations
  26. Wed Jun 04 16:05:17 2014  commencing duplicate removal, pass 2
  27. Wed Jun 04 16:05:53 2014  found 0 duplicates and 120325348 unique relations
  28. Wed Jun 04 16:05:53 2014  memory use: 381.2 MB
  29. Wed Jun 04 16:05:53 2014  reading ideals above 99942400
  30. Wed Jun 04 16:05:53 2014  commencing singleton removal, initial pass
  31. Wed Jun 04 16:23:44 2014  memory use: 2756.0 MB
  32. Wed Jun 04 16:23:44 2014  reading all ideals from disk
  33. Wed Jun 04 16:23:47 2014  memory use: 1970.5 MB
  34. Wed Jun 04 16:23:50 2014  commencing in-memory singleton removal
  35. Wed Jun 04 16:23:54 2014  begin with 120325348 relations and 84627934 unique ideals
  36. Wed Jun 04 16:24:30 2014  reduce to 92654751 relations and 55001045 ideals in 11 passes
  37. Wed Jun 04 16:24:30 2014  max relations containing the same ideal: 45
  38. Wed Jun 04 16:24:36 2014  reading ideals above 720000
  39. Wed Jun 04 16:24:36 2014  commencing singleton removal, initial pass
  40. Wed Jun 04 16:40:29 2014  memory use: 1506.0 MB
  41. Wed Jun 04 16:40:29 2014  reading all ideals from disk
  42. Wed Jun 04 16:40:34 2014  memory use: 3507.5 MB
  43. Wed Jun 04 16:40:44 2014  keeping 66036809 ideals with weight <= 200, target excess is 478105
  44. Wed Jun 04 16:40:53 2014  commencing in-memory singleton removal
  45. Wed Jun 04 16:41:01 2014  begin with 92654751 relations and 66036809 unique ideals
  46. Wed Jun 04 16:41:30 2014  reduce to 92653966 relations and 66036024 ideals in 4 passes
  47. Wed Jun 04 16:41:30 2014  max relations containing the same ideal: 200
  48. Wed Jun 04 16:42:07 2014  removing 7428414 relations and 5428414 ideals in 2000000 cliques
  49. Wed Jun 04 16:42:09 2014  commencing in-memory singleton removal
  50. Wed Jun 04 16:42:16 2014  begin with 85225552 relations and 66036024 unique ideals
  51. Wed Jun 04 16:42:56 2014  reduce to 84744468 relations and 60113730 ideals in 6 passes
  52. Wed Jun 04 16:42:56 2014  max relations containing the same ideal: 199
  53. Wed Jun 04 16:43:28 2014  removing 6004225 relations and 4004225 ideals in 2000000 cliques
  54. Wed Jun 04 16:43:30 2014  commencing in-memory singleton removal
  55. Wed Jun 04 16:43:36 2014  begin with 78740243 relations and 60113730 unique ideals
  56. Wed Jun 04 16:44:10 2014  reduce to 78413850 relations and 55775430 ideals in 6 passes
  57. Wed Jun 04 16:44:10 2014  max relations containing the same ideal: 189
  58. Wed Jun 04 16:44:40 2014  removing 5622419 relations and 3622419 ideals in 2000000 cliques
  59. Wed Jun 04 16:44:42 2014  commencing in-memory singleton removal
  60. Wed Jun 04 16:44:48 2014  begin with 72791431 relations and 55775430 unique ideals
  61. Wed Jun 04 16:45:20 2014  reduce to 72506749 relations and 51861519 ideals in 6 passes
  62. Wed Jun 04 16:45:20 2014  max relations containing the same ideal: 180
  63. Wed Jun 04 16:45:48 2014  removing 5419593 relations and 3419593 ideals in 2000000 cliques
  64. Wed Jun 04 16:45:49 2014  commencing in-memory singleton removal
  65. Wed Jun 04 16:45:55 2014  begin with 67087156 relations and 51861519 unique ideals
  66. Wed Jun 04 16:46:28 2014  reduce to 66821927 relations and 48170095 ideals in 6 passes
  67. Wed Jun 04 16:46:28 2014  max relations containing the same ideal: 172
  68. Wed Jun 04 16:46:57 2014  removing 5289575 relations and 3289575 ideals in 2000000 cliques
  69. Wed Jun 04 16:46:58 2014  commencing in-memory singleton removal
  70. Wed Jun 04 16:47:04 2014  begin with 61532352 relations and 48170095 unique ideals
  71. Wed Jun 04 16:47:32 2014  reduce to 61273258 relations and 44614709 ideals in 6 passes
  72. Wed Jun 04 16:47:32 2014  max relations containing the same ideal: 167
  73. Wed Jun 04 16:47:58 2014  removing 5201704 relations and 3201704 ideals in 2000000 cliques
  74. Wed Jun 04 16:47:59 2014  commencing in-memory singleton removal
  75. Wed Jun 04 16:48:04 2014  begin with 56071554 relations and 44614709 unique ideals
  76. Wed Jun 04 16:48:29 2014  reduce to 55812059 relations and 41146156 ideals in 6 passes
  77. Wed Jun 04 16:48:29 2014  max relations containing the same ideal: 159
  78. Wed Jun 04 16:48:53 2014  removing 5133817 relations and 3133817 ideals in 2000000 cliques
  79. Wed Jun 04 16:48:55 2014  commencing in-memory singleton removal
  80. Wed Jun 04 16:48:59 2014  begin with 50678242 relations and 41146156 unique ideals
  81. Wed Jun 04 16:49:21 2014  reduce to 50411628 relations and 37737782 ideals in 6 passes
  82. Wed Jun 04 16:49:21 2014  max relations containing the same ideal: 145
  83. Wed Jun 04 16:49:43 2014  removing 5089378 relations and 3089378 ideals in 2000000 cliques
  84. Wed Jun 04 16:49:44 2014  commencing in-memory singleton removal
  85. Wed Jun 04 16:49:47 2014  begin with 45322250 relations and 37737782 unique ideals
  86. Wed Jun 04 16:50:07 2014  reduce to 45042405 relations and 34359421 ideals in 6 passes
  87. Wed Jun 04 16:50:07 2014  max relations containing the same ideal: 137
  88. Wed Jun 04 16:50:26 2014  removing 5050993 relations and 3050993 ideals in 2000000 cliques
  89. Wed Jun 04 16:50:27 2014  commencing in-memory singleton removal
  90. Wed Jun 04 16:50:31 2014  begin with 39991412 relations and 34359421 unique ideals
  91. Wed Jun 04 16:50:47 2014  reduce to 39692520 relations and 30998762 ideals in 6 passes
  92. Wed Jun 04 16:50:47 2014  max relations containing the same ideal: 123
  93. Wed Jun 04 16:51:04 2014  removing 5024235 relations and 3024235 ideals in 2000000 cliques
  94. Wed Jun 04 16:51:06 2014  commencing in-memory singleton removal
  95. Wed Jun 04 16:51:08 2014  begin with 34668285 relations and 30998762 unique ideals
  96. Wed Jun 04 16:51:22 2014  reduce to 34341843 relations and 27635051 ideals in 6 passes
  97. Wed Jun 04 16:51:22 2014  max relations containing the same ideal: 111
  98. Wed Jun 04 16:51:37 2014  removing 5005138 relations and 3005138 ideals in 2000000 cliques
  99. Wed Jun 04 16:51:38 2014  commencing in-memory singleton removal
  100. Wed Jun 04 16:51:40 2014  begin with 29336705 relations and 27635051 unique ideals
  101. Wed Jun 04 16:51:52 2014  reduce to 28971179 relations and 24247571 ideals in 6 passes
  102. Wed Jun 04 16:51:52 2014  max relations containing the same ideal: 101
  103. Wed Jun 04 16:52:05 2014  removing 4991041 relations and 2991041 ideals in 2000000 cliques
  104. Wed Jun 04 16:52:06 2014  commencing in-memory singleton removal
  105. Wed Jun 04 16:52:07 2014  begin with 23980138 relations and 24247571 unique ideals
  106. Wed Jun 04 16:52:20 2014  reduce to 23543629 relations and 20796631 ideals in 8 passes
  107. Wed Jun 04 16:52:20 2014  max relations containing the same ideal: 85
  108. Wed Jun 04 16:52:30 2014  removing 4997508 relations and 2997508 ideals in 2000000 cliques
  109. Wed Jun 04 16:52:31 2014  commencing in-memory singleton removal
  110. Wed Jun 04 16:52:32 2014  begin with 18546121 relations and 20796631 unique ideals
  111. Wed Jun 04 16:52:41 2014  reduce to 17973485 relations and 17188411 ideals in 8 passes
  112. Wed Jun 04 16:52:41 2014  max relations containing the same ideal: 73
  113. Wed Jun 04 16:52:49 2014  removing 835250 relations and 604778 ideals in 230472 cliques
  114. Wed Jun 04 16:52:50 2014  commencing in-memory singleton removal
  115. Wed Jun 04 16:52:51 2014  begin with 17138235 relations and 17188411 unique ideals
  116. Wed Jun 04 16:52:57 2014  reduce to 17093027 relations and 16537769 ideals in 6 passes
  117. Wed Jun 04 16:52:57 2014  max relations containing the same ideal: 72
  118. Wed Jun 04 16:53:06 2014  relations with 0 large ideals: 18047
  119. Wed Jun 04 16:53:06 2014  relations with 1 large ideals: 8619
  120. Wed Jun 04 16:53:06 2014  relations with 2 large ideals: 105257
  121. Wed Jun 04 16:53:06 2014  relations with 3 large ideals: 636803
  122. Wed Jun 04 16:53:06 2014  relations with 4 large ideals: 2040565
  123. Wed Jun 04 16:53:06 2014  relations with 5 large ideals: 3859523
  124. Wed Jun 04 16:53:06 2014  relations with 6 large ideals: 4551068
  125. Wed Jun 04 16:53:06 2014  relations with 7+ large ideals: 5873145
  126. Wed Jun 04 16:53:06 2014  commencing 2-way merge
  127. Wed Jun 04 16:53:15 2014  reduce to 12341711 relation sets and 11786453 unique ideals
  128. Wed Jun 04 16:53:15 2014  commencing full merge
  129. Wed Jun 04 16:58:42 2014  memory use: 1529.7 MB
  130. Wed Jun 04 16:58:43 2014  found 5409648 cycles, need 5390653
  131. Wed Jun 04 16:58:43 2014  weight of 5390653 cycles is about 674359516 (125.10/cycle)
  132. Wed Jun 04 16:58:43 2014  distribution of cycle lengths:
  133. Wed Jun 04 16:58:43 2014  1 relations: 116627
  134. Wed Jun 04 16:58:43 2014  2 relations: 248538
  135. Wed Jun 04 16:58:43 2014  3 relations: 338394
  136. Wed Jun 04 16:58:43 2014  4 relations: 379387
  137. Wed Jun 04 16:58:43 2014  5 relations: 413742
  138. Wed Jun 04 16:58:43 2014  6 relations: 421664
  139. Wed Jun 04 16:58:43 2014  7 relations: 416600
  140. Wed Jun 04 16:58:43 2014  8 relations: 400163
  141. Wed Jun 04 16:58:43 2014  9 relations: 374536
  142. Wed Jun 04 16:58:43 2014  10+ relations: 2281002
  143. Wed Jun 04 16:58:43 2014  heaviest cycle: 28 relations
  144. Wed Jun 04 16:58:44 2014  commencing cycle optimization
  145. Wed Jun 04 16:58:52 2014  start with 50383264 relations
  146. Wed Jun 04 17:01:09 2014  pruned 3026817 relations
  147. Wed Jun 04 17:01:09 2014  memory use: 1230.9 MB
  148. Wed Jun 04 17:01:09 2014  distribution of cycle lengths:
  149. Wed Jun 04 17:01:09 2014  1 relations: 116627
  150. Wed Jun 04 17:01:09 2014  2 relations: 256251
  151. Wed Jun 04 17:01:09 2014  3 relations: 355398
  152. Wed Jun 04 17:01:09 2014  4 relations: 400428
  153. Wed Jun 04 17:01:09 2014  5 relations: 441893
  154. Wed Jun 04 17:01:09 2014  6 relations: 451499
  155. Wed Jun 04 17:01:09 2014  7 relations: 448447
  156. Wed Jun 04 17:01:09 2014  8 relations: 427173
  157. Wed Jun 04 17:01:09 2014  9 relations: 398318
  158. Wed Jun 04 17:01:09 2014  10+ relations: 2094619
  159. Wed Jun 04 17:01:09 2014  heaviest cycle: 28 relations
  160. Wed Jun 04 17:01:17 2014  RelProcTime: 4341
  161. Wed Jun 04 17:01:17 2014  
  162. Wed Jun 04 17:01:17 2014  commencing linear algebra
  163. Wed Jun 04 17:01:18 2014  read 5390653 cycles
  164. Wed Jun 04 17:01:28 2014  cycles contain 16859357 unique relations
  165. Wed Jun 04 17:03:57 2014  read 16859357 relations
  166. Wed Jun 04 17:04:28 2014  using 20 quadratic characters above 1073741420
  167. Wed Jun 04 17:05:32 2014  building initial matrix
  168. Wed Jun 04 17:09:03 2014  memory use: 2295.6 MB
  169. Wed Jun 04 17:09:06 2014  read 5390653 cycles
  170. Wed Jun 04 17:09:08 2014  matrix is 5390476 x 5390653 (2575.8 MB) with weight 748295056 (138.81/col)
  171. Wed Jun 04 17:09:08 2014  sparse part has weight 615942406 (114.26/col)
  172. Wed Jun 04 17:10:22 2014  filtering completed in 2 passes
  173. Wed Jun 04 17:10:24 2014  matrix is 5390419 x 5390596 (2575.8 MB) with weight 748292678 (138.81/col)
  174. Wed Jun 04 17:10:24 2014  sparse part has weight 615941529 (114.26/col)
  175. Wed Jun 04 17:10:38 2014  matrix starts at (0, 0)
  176. Wed Jun 04 17:10:39 2014  matrix is 5390419 x 5390596 (2575.8 MB) with weight 748292678 (138.81/col)
  177. Wed Jun 04 17:10:39 2014  sparse part has weight 615941529 (114.26/col)
  178. Wed Jun 04 17:10:39 2014  saving the first 48 matrix rows for later
  179. Wed Jun 04 17:10:41 2014  matrix includes 64 packed rows
  180. Wed Jun 04 17:10:41 2014  matrix is 5390371 x 5390596 (2466.8 MB) with weight 639311196 (118.60/col)
  181. Wed Jun 04 17:10:41 2014  sparse part has weight 592761126 (109.96/col)
  182. Wed Jun 04 17:10:41 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  183. Wed Jun 04 17:11:06 2014  commencing Lanczos iteration (4 threads)
  184. Wed Jun 04 17:11:06 2014  memory use: 2075.0 MB
  185. Wed Jun 04 17:11:23 2014  linear algebra at 0.0%, ETA 15h46m
  186. Wed Jun 04 17:11:29 2014  checkpointing every 340000 dimensions
  187. Thu Jun 05 16:22:25 2014  lanczos halted after 85240 iterations (dim = 5390369)
  188. Thu Jun 05 16:22:29 2014  recovered 35 nontrivial dependencies
  189. Thu Jun 05 16:22:31 2014  BLanczosTime: 84074
  190. Thu Jun 05 16:22:31 2014  
  191. Thu Jun 05 16:22:31 2014  commencing square root phase
  192. Thu Jun 05 16:22:31 2014  handling dependencies 1 to 64
  193. Thu Jun 05 16:22:31 2014  reading relations for dependency 1
  194. Thu Jun 05 16:22:32 2014  read 2697107 cycles
  195. Thu Jun 05 16:22:36 2014  cycles contain 8431208 unique relations
  196. Thu Jun 05 16:23:53 2014  read 8431208 relations
  197. Thu Jun 05 16:24:32 2014  multiplying 8431208 relations
  198. Thu Jun 05 16:31:32 2014  multiply complete, coefficients have about 275.74 million bits
  199. Thu Jun 05 16:31:34 2014  initial square root is modulo 88747
  200. Thu Jun 05 16:40:03 2014  sqrtTime: 1052
  201. Thu Jun 05 16:40:03 2014  prp89 factor: 93150910794207715135072056775925314040051496399607115411419729709030627164933361890670471
  202. Thu Jun 05 16:40:03 2014  prp137 factor: 15691718688379460699446219225251357251673316083754968631534469432442569839061928768719405209801730570962901446118378259745122835621485259
  203. Thu Jun 05 16:40:03 2014  elapsed time 24:51:08
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