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C202_139_60

CarlosPinho
Jun 7th, 2016
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  1. Fri Apr 29 16:28:28 2016
  2. Fri Apr 29 16:28:28 2016 Msieve v. 1.53 (SVN Unversioned directory)
  3. Fri Apr 29 16:28:28 2016 random seeds: 82cceb70 e33a714b
  4. Fri Apr 29 16:28:28 2016 factoring 1376237253805174759775157356314511267557312692654034039220638854497401179477493763962149047558956499165970225166119940871437772549034885599193670657764414367854971163816279728041153531233885438429877159 (202 digits)
  5. Fri Apr 29 16:28:29 2016 searching for 15-digit factors
  6. Fri Apr 29 16:28:31 2016 commencing number field sieve (202-digit input)
  7. Fri Apr 29 16:28:31 2016 R0: -2692452204196940400601
  8. Fri Apr 29 16:28:31 2016 R1: 78973022305360281600000000000000000000000
  9. Fri Apr 29 16:28:31 2016 A0: 60
  10. Fri Apr 29 16:28:31 2016 A1: 0
  11. Fri Apr 29 16:28:31 2016 A2: 0
  12. Fri Apr 29 16:28:31 2016 A3: 0
  13. Fri Apr 29 16:28:31 2016 A4: 0
  14. Fri Apr 29 16:28:31 2016 A5: 0
  15. Fri Apr 29 16:28:31 2016 A6: 1
  16. Fri Apr 29 16:28:31 2016 skew 1.00, size 3.314e-12, alpha 0.783, combined = 2.840e-13 rroots = 0
  17. Fri Apr 29 16:28:31 2016
  18. Fri Apr 29 16:28:31 2016 commencing relation filtering
  19. Fri Apr 29 16:28:31 2016 setting target matrix density to 120.0
  20. Fri Apr 29 16:28:31 2016 estimated available RAM is 16039.4 MB
  21. Fri Apr 29 16:28:31 2016 commencing duplicate removal, pass 1
  22. Fri Apr 29 16:48:45 2016 error -5 reading relation 103088563
  23. Fri Apr 29 16:52:56 2016 error -5 reading relation 124371090
  24. Fri Apr 29 16:53:25 2016 error -9 reading relation 126967532
  25. Fri Apr 29 16:56:09 2016 error -15 reading relation 140078945
  26. Fri Apr 29 17:00:17 2016 error -15 reading relation 160803903
  27. Fri Apr 29 17:02:30 2016 error -9 reading relation 171808105
  28. Fri Apr 29 17:03:10 2016 error -1 reading relation 175072335
  29. Fri Apr 29 17:03:39 2016 error -11 reading relation 177464970
  30. Fri Apr 29 17:03:42 2016 error -15 reading relation 177645683
  31. Fri Apr 29 17:03:54 2016 error -5 reading relation 178518576
  32. Fri Apr 29 17:04:06 2016 error -1 reading relation 179392357
  33. Fri Apr 29 17:04:06 2016 error -1 reading relation 179392395
  34. Fri Apr 29 17:04:34 2016 error -9 reading relation 181389347
  35. Fri Apr 29 17:04:34 2016 error -9 reading relation 181389385
  36. Fri Apr 29 17:04:35 2016 error -9 reading relation 181473052
  37. Fri Apr 29 17:04:35 2016 error -9 reading relation 181473091
  38. Fri Apr 29 17:05:18 2016 error -9 reading relation 184860664
  39. Fri Apr 29 17:05:19 2016 error -5 reading relation 184907141
  40. Fri Apr 29 17:05:19 2016 error -5 reading relation 184907179
  41. Fri Apr 29 17:05:20 2016 error -15 reading relation 184926436
  42. Fri Apr 29 17:05:44 2016 error -1 reading relation 186981776
  43. Fri Apr 29 17:07:25 2016 error -15 reading relation 194957477
  44. Fri Apr 29 17:08:02 2016 error -9 reading relation 197608507
  45. Fri Apr 29 17:08:46 2016 error -1 reading relation 201310501
  46. Fri Apr 29 17:09:08 2016 error -9 reading relation 202711648
  47. Fri Apr 29 17:09:14 2016 error -9 reading relation 203001910
  48. Fri Apr 29 17:10:58 2016 error -1 reading relation 211225887
  49. Fri Apr 29 17:11:05 2016 error -9 reading relation 211720080
  50. Fri Apr 29 17:11:08 2016 error -9 reading relation 211897312
  51. Fri Apr 29 17:11:19 2016 error -1 reading relation 212738943
  52. Fri Apr 29 17:12:12 2016 error -15 reading relation 217376288
  53. Fri Apr 29 17:12:23 2016 error -15 reading relation 217875945
  54. Fri Apr 29 17:12:24 2016 error -9 reading relation 217916516
  55. Fri Apr 29 17:13:35 2016 error -9 reading relation 223824931
  56. Fri Apr 29 17:13:39 2016 skipped 24 relations with b > 2^32
  57. Fri Apr 29 17:13:39 2016 skipped 26 relations with composite factors
  58. Fri Apr 29 17:13:39 2016 found 46059171 hash collisions in 224040383 relations
  59. Fri Apr 29 17:13:59 2016 added 1218454 free relations
  60. Fri Apr 29 17:13:59 2016 commencing duplicate removal, pass 2
  61. Fri Apr 29 17:17:08 2016 found 46474381 duplicates and 178784456 unique relations
  62. Fri Apr 29 17:17:08 2016 memory use: 1321.5 MB
  63. Fri Apr 29 17:17:08 2016 reading ideals above 175833088
  64. Fri Apr 29 17:17:08 2016 commencing singleton removal, initial pass
  65. Fri Apr 29 17:35:36 2016 memory use: 3012.0 MB
  66. Fri Apr 29 17:35:37 2016 reading all ideals from disk
  67. Fri Apr 29 17:35:51 2016 memory use: 2936.6 MB
  68. Fri Apr 29 17:35:57 2016 commencing in-memory singleton removal
  69. Fri Apr 29 17:36:02 2016 begin with 178784456 relations and 152405153 unique ideals
  70. Fri Apr 29 17:37:05 2016 reduce to 105890718 relations and 71050191 ideals in 15 passes
  71. Fri Apr 29 17:37:05 2016 max relations containing the same ideal: 30
  72. Fri Apr 29 17:37:10 2016 reading ideals above 720000
  73. Fri Apr 29 17:37:10 2016 commencing singleton removal, initial pass
  74. Fri Apr 29 17:51:15 2016 memory use: 2756.0 MB
  75. Fri Apr 29 17:51:15 2016 reading all ideals from disk
  76. Fri Apr 29 17:51:37 2016 memory use: 4169.1 MB
  77. Fri Apr 29 17:51:48 2016 keeping 90120033 ideals with weight <= 200, target excess is 542759
  78. Fri Apr 29 17:52:00 2016 commencing in-memory singleton removal
  79. Fri Apr 29 17:52:09 2016 begin with 105890718 relations and 90120033 unique ideals
  80. Fri Apr 29 17:53:58 2016 reduce to 105853860 relations and 90083151 ideals in 12 passes
  81. Fri Apr 29 17:53:58 2016 max relations containing the same ideal: 200
  82. Fri Apr 29 17:54:46 2016 removing 11719601 relations and 9719601 ideals in 2000000 cliques
  83. Fri Apr 29 17:54:49 2016 commencing in-memory singleton removal
  84. Fri Apr 29 17:54:58 2016 begin with 94134259 relations and 90083151 unique ideals
  85. Fri Apr 29 17:56:01 2016 reduce to 93188077 relations and 79395132 ideals in 8 passes
  86. Fri Apr 29 17:56:01 2016 max relations containing the same ideal: 192
  87. Fri Apr 29 17:56:43 2016 removing 8872631 relations and 6872631 ideals in 2000000 cliques
  88. Fri Apr 29 17:56:46 2016 commencing in-memory singleton removal
  89. Fri Apr 29 17:56:52 2016 begin with 84315446 relations and 79395132 unique ideals
  90. Fri Apr 29 17:57:50 2016 reduce to 83679950 relations and 71873505 ideals in 9 passes
  91. Fri Apr 29 17:57:50 2016 max relations containing the same ideal: 183
  92. Fri Apr 29 17:58:25 2016 removing 8021082 relations and 6021082 ideals in 2000000 cliques
  93. Fri Apr 29 17:58:28 2016 commencing in-memory singleton removal
  94. Fri Apr 29 17:58:33 2016 begin with 75658868 relations and 71873505 unique ideals
  95. Fri Apr 29 17:59:20 2016 reduce to 75089179 relations and 65270303 ideals in 8 passes
  96. Fri Apr 29 17:59:20 2016 max relations containing the same ideal: 171
  97. Fri Apr 29 17:59:52 2016 removing 7584248 relations and 5584248 ideals in 2000000 cliques
  98. Fri Apr 29 17:59:54 2016 commencing in-memory singleton removal
  99. Fri Apr 29 17:59:59 2016 begin with 67504931 relations and 65270303 unique ideals
  100. Fri Apr 29 18:00:40 2016 reduce to 66950924 relations and 59118791 ideals in 8 passes
  101. Fri Apr 29 18:00:40 2016 max relations containing the same ideal: 160
  102. Fri Apr 29 18:01:09 2016 removing 7313717 relations and 5313717 ideals in 2000000 cliques
  103. Fri Apr 29 18:01:11 2016 commencing in-memory singleton removal
  104. Fri Apr 29 18:01:16 2016 begin with 59637207 relations and 59118791 unique ideals
  105. Fri Apr 29 18:01:55 2016 reduce to 59073524 relations and 53226680 ideals in 8 passes
  106. Fri Apr 29 18:01:55 2016 max relations containing the same ideal: 145
  107. Fri Apr 29 18:02:22 2016 removing 7134258 relations and 5134258 ideals in 2000000 cliques
  108. Fri Apr 29 18:02:24 2016 commencing in-memory singleton removal
  109. Fri Apr 29 18:02:28 2016 begin with 51939266 relations and 53226680 unique ideals
  110. Fri Apr 29 18:02:59 2016 reduce to 51343757 relations and 47479433 ideals in 8 passes
  111. Fri Apr 29 18:02:59 2016 max relations containing the same ideal: 131
  112. Fri Apr 29 18:03:21 2016 removing 7008906 relations and 5008906 ideals in 2000000 cliques
  113. Fri Apr 29 18:03:23 2016 commencing in-memory singleton removal
  114. Fri Apr 29 18:03:26 2016 begin with 44334851 relations and 47479433 unique ideals
  115. Fri Apr 29 18:03:51 2016 reduce to 43676534 relations and 41790414 ideals in 8 passes
  116. Fri Apr 29 18:03:51 2016 max relations containing the same ideal: 119
  117. Fri Apr 29 18:04:09 2016 removing 4783839 relations and 3527320 ideals in 1256519 cliques
  118. Fri Apr 29 18:04:11 2016 commencing in-memory singleton removal
  119. Fri Apr 29 18:04:13 2016 begin with 38892695 relations and 41790414 unique ideals
  120. Fri Apr 29 18:04:34 2016 reduce to 38534052 relations and 37895613 ideals in 8 passes
  121. Fri Apr 29 18:04:34 2016 max relations containing the same ideal: 108
  122. Fri Apr 29 18:04:50 2016 removing 68648 relations and 59810 ideals in 8838 cliques
  123. Fri Apr 29 18:04:51 2016 commencing in-memory singleton removal
  124. Fri Apr 29 18:04:54 2016 begin with 38465404 relations and 37895613 unique ideals
  125. Fri Apr 29 18:05:04 2016 reduce to 38465336 relations and 37835735 ideals in 4 passes
  126. Fri Apr 29 18:05:04 2016 max relations containing the same ideal: 107
  127. Fri Apr 29 18:05:12 2016 relations with 0 large ideals: 20891
  128. Fri Apr 29 18:05:12 2016 relations with 1 large ideals: 5269
  129. Fri Apr 29 18:05:12 2016 relations with 2 large ideals: 76044
  130. Fri Apr 29 18:05:12 2016 relations with 3 large ideals: 585177
  131. Fri Apr 29 18:05:12 2016 relations with 4 large ideals: 2447470
  132. Fri Apr 29 18:05:12 2016 relations with 5 large ideals: 6156861
  133. Fri Apr 29 18:05:12 2016 relations with 6 large ideals: 9713436
  134. Fri Apr 29 18:05:12 2016 relations with 7+ large ideals: 19460188
  135. Fri Apr 29 18:05:12 2016 commencing 2-way merge
  136. Fri Apr 29 18:05:31 2016 reduce to 25265913 relation sets and 24636312 unique ideals
  137. Fri Apr 29 18:05:31 2016 commencing full merge
  138. Fri Apr 29 18:14:24 2016 memory use: 3273.0 MB
  139. Fri Apr 29 18:14:26 2016 found 11376729 cycles, need 11376512
  140. Fri Apr 29 18:14:30 2016 weight of 11376512 cycles is about 1365307829 (120.01/cycle)
  141. Fri Apr 29 18:14:30 2016 distribution of cycle lengths:
  142. Fri Apr 29 18:14:30 2016 1 relations: 485505
  143. Fri Apr 29 18:14:30 2016 2 relations: 692597
  144. Fri Apr 29 18:14:30 2016 3 relations: 813052
  145. Fri Apr 29 18:14:30 2016 4 relations: 837373
  146. Fri Apr 29 18:14:30 2016 5 relations: 853952
  147. Fri Apr 29 18:14:30 2016 6 relations: 837801
  148. Fri Apr 29 18:14:30 2016 7 relations: 818402
  149. Fri Apr 29 18:14:30 2016 8 relations: 775608
  150. Fri Apr 29 18:14:30 2016 9 relations: 728114
  151. Fri Apr 29 18:14:30 2016 10+ relations: 4534108
  152. Fri Apr 29 18:14:30 2016 heaviest cycle: 28 relations
  153. Fri Apr 29 18:14:32 2016 commencing cycle optimization
  154. Fri Apr 29 18:14:52 2016 start with 101311317 relations
  155. Fri Apr 29 18:18:25 2016 pruned 4598152 relations
  156. Fri Apr 29 18:18:25 2016 memory use: 2646.2 MB
  157. Fri Apr 29 18:18:25 2016 distribution of cycle lengths:
  158. Fri Apr 29 18:18:25 2016 1 relations: 485505
  159. Fri Apr 29 18:18:25 2016 2 relations: 710030
  160. Fri Apr 29 18:18:25 2016 3 relations: 847450
  161. Fri Apr 29 18:18:25 2016 4 relations: 872154
  162. Fri Apr 29 18:18:25 2016 5 relations: 895771
  163. Fri Apr 29 18:18:25 2016 6 relations: 877753
  164. Fri Apr 29 18:18:25 2016 7 relations: 859236
  165. Fri Apr 29 18:18:25 2016 8 relations: 810355
  166. Fri Apr 29 18:18:25 2016 9 relations: 760102
  167. Fri Apr 29 18:18:25 2016 10+ relations: 4258156
  168. Fri Apr 29 18:18:25 2016 heaviest cycle: 28 relations
  169. Fri Apr 29 18:18:49 2016 RelProcTime: 6618
  170. Fri Apr 29 18:18:49 2016
  171. Fri Apr 29 18:18:49 2016 commencing linear algebra
  172. Fri Apr 29 18:18:50 2016 read 11376512 cycles
  173. Fri Apr 29 18:19:10 2016 cycles contain 38109866 unique relations
  174. Fri Apr 29 18:22:43 2016 read 38109866 relations
  175. Fri Apr 29 18:23:37 2016 using 20 quadratic characters above 4294917295
  176. Fri Apr 29 18:26:08 2016 building initial matrix
  177. Fri Apr 29 18:32:59 2016 memory use: 4945.4 MB
  178. Fri Apr 29 18:33:03 2016 read 11376512 cycles
  179. Fri Apr 29 18:33:05 2016 matrix is 11376335 x 11376512 (5332.2 MB) with weight 1539161246 (135.29/col)
  180. Fri Apr 29 18:33:05 2016 sparse part has weight 1272663145 (111.87/col)
  181. Fri Apr 29 18:35:08 2016 filtering completed in 2 passes
  182. Fri Apr 29 18:35:10 2016 matrix is 11376294 x 11376471 (5332.2 MB) with weight 1539159964 (135.29/col)
  183. Fri Apr 29 18:35:10 2016 sparse part has weight 1272662831 (111.87/col)
  184. Fri Apr 29 18:36:05 2016 matrix starts at (0, 0)
  185. Fri Apr 29 18:36:06 2016 matrix is 11376294 x 11376471 (5332.2 MB) with weight 1539159964 (135.29/col)
  186. Fri Apr 29 18:36:06 2016 sparse part has weight 1272662831 (111.87/col)
  187. Fri Apr 29 18:36:06 2016 saving the first 48 matrix rows for later
  188. Fri Apr 29 18:36:08 2016 matrix includes 64 packed rows
  189. Fri Apr 29 18:36:09 2016 matrix is 11376246 x 11376471 (5119.5 MB) with weight 1323236308 (116.31/col)
  190. Fri Apr 29 18:36:09 2016 sparse part has weight 1228279843 (107.97/col)
  191. Fri Apr 29 18:36:10 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  192. Fri Apr 29 18:36:56 2016 commencing Lanczos iteration (4 threads)
  193. Fri Apr 29 18:36:56 2016 memory use: 4350.9 MB
  194. Fri Apr 29 18:37:55 2016 linear algebra at 0.0%, ETA 116h43m
  195. Fri Apr 29 18:38:14 2016 checkpointing every 100000 dimensions
  196. Wed May 4 09:58:10 2016 lanczos halted after 179908 iterations (dim = 11376246)
  197. Wed May 4 09:58:20 2016 recovered 41 nontrivial dependencies
  198. Wed May 4 09:58:20 2016 BLanczosTime: 401971
  199. Wed May 4 09:58:20 2016
  200. Wed May 4 09:58:20 2016 commencing square root phase
  201. Wed May 4 09:58:20 2016 handling dependencies 1 to 64
  202. Wed May 4 09:58:20 2016 reading relations for dependency 1
  203. Wed May 4 09:58:24 2016 read 5686528 cycles
  204. Wed May 4 09:58:34 2016 cycles contain 19052036 unique relations
  205. Wed May 4 10:05:27 2016
  206. Wed May 4 10:05:27 2016
  207. Wed May 4 10:05:27 2016 Msieve v. 1.53 (SVN Unversioned directory)
  208. Wed May 4 10:05:27 2016 random seeds: 7069941d 29fdd666
  209. Wed May 4 10:05:27 2016 factoring 1376237253805174759775157356314511267557312692654034039220638854497401179477493763962149047558956499165970225166119940871437772549034885599193670657764414367854971163816279728041153531233885438429877159 (202 digits)
  210. Wed May 4 10:05:28 2016 searching for 15-digit factors
  211. Wed May 4 10:05:29 2016 commencing number field sieve (202-digit input)
  212. Wed May 4 10:05:29 2016 R0: -2692452204196940400601
  213. Wed May 4 10:05:29 2016 R1: 78973022305360281600000000000000000000000
  214. Wed May 4 10:05:29 2016 A0: 60
  215. Wed May 4 10:05:29 2016 A1: 0
  216. Wed May 4 10:05:29 2016 A2: 0
  217. Wed May 4 10:05:29 2016 A3: 0
  218. Wed May 4 10:05:29 2016 A4: 0
  219. Wed May 4 10:05:29 2016 A5: 0
  220. Wed May 4 10:05:29 2016 A6: 1
  221. Wed May 4 10:05:29 2016 skew 1.00, size 3.314e-12, alpha 0.783, combined = 2.840e-13 rroots = 0
  222. Wed May 4 10:05:29 2016
  223. Wed May 4 10:05:29 2016 commencing square root phase
  224. Wed May 4 10:05:29 2016 reading relations for dependency 1
  225. Wed May 4 10:05:34 2016 read 5686528 cycles
  226. Wed May 4 10:05:43 2016 cycles contain 19052036 unique relations
  227. Wed May 4 10:10:06 2016 read 19052036 relations
  228. Wed May 4 10:11:27 2016 multiplying 19052036 relations
  229. Wed May 4 10:22:30 2016 multiply complete, coefficients have about 486.09 million bits
  230. Wed May 4 10:22:31 2016 initial square root is modulo 527226067
  231. Wed May 4 10:34:56 2016 found factor: 157140489233497279213963368166743505061697028233151
  232. Wed May 4 10:34:56 2016 reading relations for dependency 2
  233. Wed May 4 10:35:04 2016 read 5688694 cycles
  234. Wed May 4 10:35:14 2016 cycles contain 19057796 unique relations
  235. Wed May 4 10:37:36 2016 read 19057796 relations
  236. Wed May 4 10:38:58 2016 multiplying 19057796 relations
  237. Wed May 4 10:50:23 2016 multiply complete, coefficients have about 486.23 million bits
  238. Wed May 4 10:50:24 2016 initial square root is modulo 530367133
  239. Wed May 4 11:02:50 2016 GCD is 1, no factor found
  240. Wed May 4 11:02:50 2016 reading relations for dependency 3
  241. Wed May 4 11:02:56 2016 read 5688945 cycles
  242. Wed May 4 11:03:07 2016 cycles contain 19055210 unique relations
  243. Wed May 4 11:05:26 2016 read 19055210 relations
  244. Wed May 4 11:06:46 2016 multiplying 19055210 relations
  245. Wed May 4 11:18:08 2016 multiply complete, coefficients have about 486.17 million bits
  246. Wed May 4 11:18:10 2016 initial square root is modulo 528981217
  247. Wed May 4 11:30:38 2016 sqrtTime: 5109
  248. Wed May 4 11:30:38 2016 p51 factor: 147388068319661438413366831801620287613433287707329
  249. Wed May 4 11:30:38 2016 p51 factor: 157140489233497279213963368166743505061697028233151
  250. Wed May 4 11:30:38 2016 p101 factor: 59421400275352743020674949688576273011762410422169224914767705474318976542052266473925946488731468121
  251. Wed May 4 11:30:38 2016 elapsed time 01:25:11
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