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GW_9_249

CarlosPinho Jun 4th, 2016 33 Never
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  1. Sat Mar 29 23:39:41 2014  Msieve v. 1.52 (SVN unknown)
  2. Sat Mar 29 23:39:41 2014  random seeds: 84fac76d c4ab0474
  3. Sat Mar 29 23:39:41 2014  factoring 182715881417555986287641593277691125131398464770712820184065240364036689381171883400803683418057377671005071625610514537932920230269007799733666528009073596046586429651233715114128021209929092530824549765299132625501 (216 digits)
  4. Sat Mar 29 23:39:42 2014  searching for 15-digit factors
  5. Sat Mar 29 23:39:43 2014  commencing number field sieve (216-digit input)
  6. Sat Mar 29 23:39:43 2014  R0: -3990838394187339929534246675572349035227
  7. Sat Mar 29 23:39:43 2014  R1: 1
  8. Sat Mar 29 23:39:43 2014  A0: -1
  9. Sat Mar 29 23:39:43 2014  A1: 0
  10. Sat Mar 29 23:39:43 2014  A2: 0
  11. Sat Mar 29 23:39:43 2014  A3: 0
  12. Sat Mar 29 23:39:43 2014  A4: 0
  13. Sat Mar 29 23:39:43 2014  A5: 0
  14. Sat Mar 29 23:39:43 2014  A6: 249
  15. Sat Mar 29 23:39:43 2014  skew 1.00, size 7.721e-12, alpha 0.332, combined = 5.157e-13 rroots = 2
  16. Sat Mar 29 23:39:43 2014  
  17. Sat Mar 29 23:39:43 2014  commencing relation filtering
  18. Sat Mar 29 23:39:43 2014  setting target matrix density to 120.0
  19. Sat Mar 29 23:39:43 2014  estimated available RAM is 16030.3 MB
  20. Sat Mar 29 23:39:43 2014  commencing duplicate removal, pass 1
  21. Sat Mar 29 23:40:43 2014  error -15 reading relation 13125435
  22. Sat Mar 29 23:40:45 2014  error -9 reading relation 13594922
  23. Sat Mar 29 23:41:16 2014  error -15 reading relation 20346271
  24. Sat Mar 29 23:41:16 2014  error -9 reading relation 20346666
  25. Sat Mar 29 23:41:17 2014  error -15 reading relation 20530791
  26. Sat Mar 29 23:41:17 2014  error -1 reading relation 20531185
  27. Sat Mar 29 23:41:22 2014  error -9 reading relation 21629415
  28. Sat Mar 29 23:42:43 2014  error -15 reading relation 39293166
  29. Sat Mar 29 23:43:03 2014  error -9 reading relation 43793010
  30. Sat Mar 29 23:43:11 2014  error -5 reading relation 45578041
  31. Sat Mar 29 23:43:12 2014  error -15 reading relation 45745139
  32. Sat Mar 29 23:43:18 2014  error -9 reading relation 47092082
  33. Sat Mar 29 23:43:37 2014  error -9 reading relation 51087318
  34. Sat Mar 29 23:43:37 2014  error -9 reading relation 51135977
  35. Sat Mar 29 23:43:38 2014  error -15 reading relation 51220447
  36. Sat Mar 29 23:43:39 2014  error -9 reading relation 51442810
  37. Sat Mar 29 23:44:03 2014  error -15 reading relation 56762178
  38. Sat Mar 29 23:44:04 2014  error -9 reading relation 56965246
  39. Sat Mar 29 23:44:04 2014  error -1 reading relation 56982256
  40. Sat Mar 29 23:44:28 2014  error -1 reading relation 62145189
  41. Sat Mar 29 23:44:45 2014  error -15 reading relation 65995079
  42. Sat Mar 29 23:44:49 2014  error -15 reading relation 66938341
  43. Sat Mar 29 23:44:52 2014  error -1 reading relation 67597930
  44. Sat Mar 29 23:45:13 2014  error -1 reading relation 72239190
  45. Sat Mar 29 23:45:15 2014  error -1 reading relation 72745904
  46. Sat Mar 29 23:45:40 2014  error -15 reading relation 78189137
  47. Sat Mar 29 23:45:40 2014  error -1 reading relation 78189138
  48. Sat Mar 29 23:45:55 2014  error -15 reading relation 81557083
  49. Sat Mar 29 23:46:05 2014  error -9 reading relation 83727027
  50. Sat Mar 29 23:46:13 2014  error -9 reading relation 85429280
  51. Sat Mar 29 23:46:13 2014  error -15 reading relation 85491800
  52. Sat Mar 29 23:46:17 2014  error -9 reading relation 86226973
  53. Sat Mar 29 23:46:20 2014  error -15 reading relation 86853675
  54. Sat Mar 29 23:46:22 2014  error -15 reading relation 87213825
  55. Sat Mar 29 23:46:29 2014  error -15 reading relation 88701364
  56. Sat Mar 29 23:46:35 2014  error -9 reading relation 89970269
  57. Sat Mar 29 23:47:14 2014  error -15 reading relation 98529356
  58. Sat Mar 29 23:47:15 2014  error -11 reading relation 98556192
  59. Sat Mar 29 23:47:30 2014  error -9 reading relation 101257588
  60. Sat Mar 29 23:47:41 2014  error -1 reading relation 103391983
  61. Sat Mar 29 23:47:54 2014  error -15 reading relation 105176277
  62. Sat Mar 29 23:48:00 2014  error -15 reading relation 106109542
  63. Sat Mar 29 23:48:02 2014  error -15 reading relation 106539986
  64. Sat Mar 29 23:48:02 2014  error -15 reading relation 106574044
  65. Sat Mar 29 23:48:02 2014  error -5 reading relation 106598617
  66. Sat Mar 29 23:48:16 2014  error -9 reading relation 109187109
  67. Sat Mar 29 23:48:16 2014  error -9 reading relation 109275374
  68. Sat Mar 29 23:48:18 2014  error -15 reading relation 109510258
  69. Sat Mar 29 23:48:22 2014  error -15 reading relation 110277308
  70. Sat Mar 29 23:48:23 2014  error -15 reading relation 110407507
  71. Sat Mar 29 23:48:34 2014  error -15 reading relation 112452421
  72. Sat Mar 29 23:48:34 2014  error -9 reading relation 112455962
  73. Sat Mar 29 23:48:44 2014  error -15 reading relation 113692096
  74. Sat Mar 29 23:48:49 2014  error -9 reading relation 114618418
  75. Sat Mar 29 23:48:49 2014  error -9 reading relation 114739293
  76. Sat Mar 29 23:48:49 2014  error -1 reading relation 114785886
  77. Sat Mar 29 23:48:51 2014  error -15 reading relation 115119514
  78. Sat Mar 29 23:48:57 2014  error -15 reading relation 116178217
  79. Sat Mar 29 23:49:04 2014  error -11 reading relation 117561666
  80. Sat Mar 29 23:49:11 2014  error -15 reading relation 119234090
  81. Sat Mar 29 23:49:11 2014  error -9 reading relation 119238706
  82. Sat Mar 29 23:49:14 2014  error -1 reading relation 119878879
  83. Sat Mar 29 23:49:49 2014  skipped 84 relations with b > 2^32
  84. Sat Mar 29 23:49:49 2014  found 25594983 hash collisions in 123743112 relations
  85. Sat Mar 29 23:49:59 2014  commencing duplicate removal, pass 2
  86. Sat Mar 29 23:53:43 2014  found 25549114 duplicates and 98193998 unique relations
  87. Sat Mar 29 23:53:43 2014  memory use: 660.8 MB
  88. Sat Mar 29 23:53:43 2014  reading ideals above 108199936
  89. Sat Mar 29 23:53:43 2014  commencing singleton removal, initial pass
  90. Sun Mar 30 00:02:57 2014  memory use: 1506.0 MB
  91. Sun Mar 30 00:02:57 2014  reading all ideals from disk
  92. Sun Mar 30 00:03:07 2014  memory use: 1656.0 MB
  93. Sun Mar 30 00:03:10 2014  commencing in-memory singleton removal
  94. Sun Mar 30 00:03:12 2014  begin with 98193998 relations and 79682974 unique ideals
  95. Sun Mar 30 00:03:39 2014  reduce to 63990037 relations and 42029685 ideals in 13 passes
  96. Sun Mar 30 00:03:39 2014  max relations containing the same ideal: 35
  97. Sun Mar 30 00:03:41 2014  reading ideals above 720000
  98. Sun Mar 30 00:03:41 2014  commencing singleton removal, initial pass
  99. Sun Mar 30 00:11:23 2014  memory use: 1506.0 MB
  100. Sun Mar 30 00:11:23 2014  reading all ideals from disk
  101. Sun Mar 30 00:11:39 2014  memory use: 2453.7 MB
  102. Sun Mar 30 00:11:45 2014  keeping 54109458 ideals with weight <= 200, target excess is 331370
  103. Sun Mar 30 00:11:51 2014  commencing in-memory singleton removal
  104. Sun Mar 30 00:11:56 2014  begin with 63990039 relations and 54109458 unique ideals
  105. Sun Mar 30 00:12:27 2014  reduce to 63972257 relations and 54091663 ideals in 8 passes
  106. Sun Mar 30 00:12:27 2014  max relations containing the same ideal: 200
  107. Sun Mar 30 00:12:49 2014  removing 5541409 relations and 4541409 ideals in 1000000 cliques
  108. Sun Mar 30 00:12:50 2014  commencing in-memory singleton removal
  109. Sun Mar 30 00:12:54 2014  begin with 58430848 relations and 54091663 unique ideals
  110. Sun Mar 30 00:13:21 2014  reduce to 58063543 relations and 49175619 ideals in 8 passes
  111. Sun Mar 30 00:13:21 2014  max relations containing the same ideal: 196
  112. Sun Mar 30 00:13:39 2014  removing 4276577 relations and 3276577 ideals in 1000000 cliques
  113. Sun Mar 30 00:13:41 2014  commencing in-memory singleton removal
  114. Sun Mar 30 00:13:43 2014  begin with 53786966 relations and 49175619 unique ideals
  115. Sun Mar 30 00:14:09 2014  reduce to 53545747 relations and 45653675 ideals in 8 passes
  116. Sun Mar 30 00:14:09 2014  max relations containing the same ideal: 186
  117. Sun Mar 30 00:14:25 2014  removing 3892107 relations and 2892107 ideals in 1000000 cliques
  118. Sun Mar 30 00:14:27 2014  commencing in-memory singleton removal
  119. Sun Mar 30 00:14:29 2014  begin with 49653640 relations and 45653675 unique ideals
  120. Sun Mar 30 00:14:50 2014  reduce to 49441368 relations and 42545642 ideals in 7 passes
  121. Sun Mar 30 00:14:50 2014  max relations containing the same ideal: 178
  122. Sun Mar 30 00:15:06 2014  removing 3684743 relations and 2684743 ideals in 1000000 cliques
  123. Sun Mar 30 00:15:07 2014  commencing in-memory singleton removal
  124. Sun Mar 30 00:15:09 2014  begin with 45756625 relations and 42545642 unique ideals
  125. Sun Mar 30 00:15:28 2014  reduce to 45555935 relations and 39656621 ideals in 7 passes
  126. Sun Mar 30 00:15:28 2014  max relations containing the same ideal: 172
  127. Sun Mar 30 00:15:42 2014  removing 3552081 relations and 2552081 ideals in 1000000 cliques
  128. Sun Mar 30 00:15:43 2014  commencing in-memory singleton removal
  129. Sun Mar 30 00:15:45 2014  begin with 42003854 relations and 39656621 unique ideals
  130. Sun Mar 30 00:16:05 2014  reduce to 41807007 relations and 36903916 ideals in 8 passes
  131. Sun Mar 30 00:16:05 2014  max relations containing the same ideal: 161
  132. Sun Mar 30 00:16:18 2014  removing 3458274 relations and 2458274 ideals in 1000000 cliques
  133. Sun Mar 30 00:16:19 2014  commencing in-memory singleton removal
  134. Sun Mar 30 00:16:21 2014  begin with 38348733 relations and 36903916 unique ideals
  135. Sun Mar 30 00:16:36 2014  reduce to 38149510 relations and 34242242 ideals in 7 passes
  136. Sun Mar 30 00:16:36 2014  max relations containing the same ideal: 151
  137. Sun Mar 30 00:16:49 2014  removing 3392074 relations and 2392074 ideals in 1000000 cliques
  138. Sun Mar 30 00:16:50 2014  commencing in-memory singleton removal
  139. Sun Mar 30 00:16:52 2014  begin with 34757436 relations and 34242242 unique ideals
  140. Sun Mar 30 00:17:04 2014  reduce to 34551078 relations and 31639127 ideals in 6 passes
  141. Sun Mar 30 00:17:04 2014  max relations containing the same ideal: 141
  142. Sun Mar 30 00:17:15 2014  removing 3346728 relations and 2346728 ideals in 1000000 cliques
  143. Sun Mar 30 00:17:16 2014  commencing in-memory singleton removal
  144. Sun Mar 30 00:17:17 2014  begin with 31204350 relations and 31639127 unique ideals
  145. Sun Mar 30 00:17:31 2014  reduce to 30984362 relations and 29067035 ideals in 8 passes
  146. Sun Mar 30 00:17:31 2014  max relations containing the same ideal: 132
  147. Sun Mar 30 00:17:41 2014  removing 3321094 relations and 2321094 ideals in 1000000 cliques
  148. Sun Mar 30 00:17:42 2014  commencing in-memory singleton removal
  149. Sun Mar 30 00:17:43 2014  begin with 27663268 relations and 29067035 unique ideals
  150. Sun Mar 30 00:17:54 2014  reduce to 27419639 relations and 26495797 ideals in 7 passes
  151. Sun Mar 30 00:17:54 2014  max relations containing the same ideal: 121
  152. Sun Mar 30 00:18:03 2014  removing 2007099 relations and 1467647 ideals in 539452 cliques
  153. Sun Mar 30 00:18:04 2014  commencing in-memory singleton removal
  154. Sun Mar 30 00:18:05 2014  begin with 25412540 relations and 26495797 unique ideals
  155. Sun Mar 30 00:18:15 2014  reduce to 25312040 relations and 24925925 ideals in 7 passes
  156. Sun Mar 30 00:18:15 2014  max relations containing the same ideal: 115
  157. Sun Mar 30 00:18:27 2014  relations with 0 large ideals: 12559
  158. Sun Mar 30 00:18:27 2014  relations with 1 large ideals: 2473
  159. Sun Mar 30 00:18:27 2014  relations with 2 large ideals: 32592
  160. Sun Mar 30 00:18:27 2014  relations with 3 large ideals: 272760
  161. Sun Mar 30 00:18:27 2014  relations with 4 large ideals: 1247392
  162. Sun Mar 30 00:18:27 2014  relations with 5 large ideals: 3438471
  163. Sun Mar 30 00:18:27 2014  relations with 6 large ideals: 5990237
  164. Sun Mar 30 00:18:27 2014  relations with 7+ large ideals: 14315556
  165. Sun Mar 30 00:18:27 2014  commencing 2-way merge
  166. Sun Mar 30 00:18:38 2014  reduce to 17378865 relation sets and 16992750 unique ideals
  167. Sun Mar 30 00:18:38 2014  commencing full merge
  168. Sun Mar 30 00:23:51 2014  memory use: 2273.8 MB
  169. Sun Mar 30 00:23:52 2014  found 7784866 cycles, need 7780950
  170. Sun Mar 30 00:23:54 2014  weight of 7780950 cycles is about 933793039 (120.01/cycle)
  171. Sun Mar 30 00:23:54 2014  distribution of cycle lengths:
  172. Sun Mar 30 00:23:54 2014  1 relations: 265700
  173. Sun Mar 30 00:23:54 2014  2 relations: 441070
  174. Sun Mar 30 00:23:54 2014  3 relations: 545083
  175. Sun Mar 30 00:23:54 2014  4 relations: 573526
  176. Sun Mar 30 00:23:54 2014  5 relations: 589513
  177. Sun Mar 30 00:23:54 2014  6 relations: 584401
  178. Sun Mar 30 00:23:54 2014  7 relations: 572391
  179. Sun Mar 30 00:23:54 2014  8 relations: 546577
  180. Sun Mar 30 00:23:54 2014  9 relations: 511632
  181. Sun Mar 30 00:23:54 2014  10+ relations: 3151057
  182. Sun Mar 30 00:23:54 2014  heaviest cycle: 28 relations
  183. Sun Mar 30 00:23:56 2014  commencing cycle optimization
  184. Sun Mar 30 00:24:08 2014  start with 69946162 relations
  185. Sun Mar 30 00:26:32 2014  pruned 3473947 relations
  186. Sun Mar 30 00:26:32 2014  memory use: 1780.7 MB
  187. Sun Mar 30 00:26:32 2014  distribution of cycle lengths:
  188. Sun Mar 30 00:26:32 2014  1 relations: 265700
  189. Sun Mar 30 00:26:32 2014  2 relations: 453047
  190. Sun Mar 30 00:26:32 2014  3 relations: 570170
  191. Sun Mar 30 00:26:32 2014  4 relations: 599902
  192. Sun Mar 30 00:26:32 2014  5 relations: 622058
  193. Sun Mar 30 00:26:32 2014  6 relations: 615075
  194. Sun Mar 30 00:26:32 2014  7 relations: 604385
  195. Sun Mar 30 00:26:32 2014  8 relations: 574899
  196. Sun Mar 30 00:26:32 2014  9 relations: 536657
  197. Sun Mar 30 00:26:32 2014  10+ relations: 2939057
  198. Sun Mar 30 00:26:32 2014  heaviest cycle: 28 relations
  199. Sun Mar 30 00:26:47 2014  RelProcTime: 2824
  200. Sun Mar 30 00:26:47 2014  
  201. Sun Mar 30 00:26:47 2014  commencing linear algebra
  202. Sun Mar 30 00:26:50 2014  read 7780950 cycles
  203. Sun Mar 30 00:27:07 2014  cycles contain 25114252 unique relations
  204. Sun Mar 30 00:31:04 2014  read 25114252 relations
  205. Sun Mar 30 00:31:42 2014  using 20 quadratic characters above 1073740784
  206. Sun Mar 30 00:33:07 2014  building initial matrix
  207. Sun Mar 30 00:37:45 2014  memory use: 3318.4 MB
  208. Sun Mar 30 00:37:48 2014  read 7780950 cycles
  209. Sun Mar 30 00:37:49 2014  matrix is 7780773 x 7780950 (3629.5 MB) with weight 1051999940 (135.20/col)
  210. Sun Mar 30 00:37:49 2014  sparse part has weight 865860547 (111.28/col)
  211. Sun Mar 30 00:39:09 2014  filtering completed in 2 passes
  212. Sun Mar 30 00:39:10 2014  matrix is 7780752 x 7780929 (3629.5 MB) with weight 1051999266 (135.20/col)
  213. Sun Mar 30 00:39:10 2014  sparse part has weight 865860371 (111.28/col)
  214. Sun Mar 30 00:40:18 2014  matrix starts at (0, 0)
  215. Sun Mar 30 00:40:19 2014  matrix is 7780752 x 7780929 (3629.5 MB) with weight 1051999266 (135.20/col)
  216. Sun Mar 30 00:40:19 2014  sparse part has weight 865860371 (111.28/col)
  217. Sun Mar 30 00:40:19 2014  saving the first 48 matrix rows for later
  218. Sun Mar 30 00:40:20 2014  matrix includes 64 packed rows
  219. Sun Mar 30 00:40:21 2014  matrix is 7780704 x 7780929 (3479.9 MB) with weight 900496980 (115.73/col)
  220. Sun Mar 30 00:40:21 2014  sparse part has weight 834436021 (107.24/col)
  221. Sun Mar 30 00:40:21 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  222. Sun Mar 30 00:40:47 2014  commencing Lanczos iteration (4 threads)
  223. Sun Mar 30 00:40:47 2014  memory use: 2941.2 MB
  224. Sun Mar 30 00:41:16 2014  linear algebra at 0.0%, ETA 39h42m
  225. Sun Mar 30 00:41:26 2014  checkpointing every 200000 dimensions
  226. Mon Mar 31 16:33:13 2014  lanczos halted after 123051 iterations (dim = 7780703)
  227. Mon Mar 31 16:33:19 2014  recovered 34 nontrivial dependencies
  228. Mon Mar 31 16:33:19 2014  BLanczosTime: 144392
  229. Mon Mar 31 16:33:19 2014  
  230. Mon Mar 31 16:33:19 2014  commencing square root phase
  231. Mon Mar 31 16:33:19 2014  handling dependencies 1 to 64
  232. Mon Mar 31 16:33:19 2014  reading relations for dependency 1
  233. Mon Mar 31 16:33:20 2014  read 3890920 cycles
  234. Mon Mar 31 16:33:25 2014  cycles contain 12553484 unique relations
  235. Mon Mar 31 16:36:39 2014  read 12553484 relations
  236. Mon Mar 31 16:37:23 2014  multiplying 12553484 relations
  237. Mon Mar 31 16:46:17 2014  multiply complete, coefficients have about 402.38 million bits
  238. Mon Mar 31 16:46:18 2014  initial square root is modulo 16595941
  239. Mon Mar 31 16:56:04 2014  sqrtTime: 1365
  240. Mon Mar 31 16:56:04 2014  prp55 factor: 3341147571762894746616313727026296885197667290370142783
  241. Mon Mar 31 16:56:04 2014  prp161 factor: 54686564269637850634116594505519128973752898935720676602847847250720120659476629305425247855519101443689109180817067055830007789856782006869704861766517032270947
  242. Mon Mar 31 16:56:04 2014  elapsed time 41:16:23
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