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CarlosPinho

C168_127_110

CarlosPinho
May 28th, 2016
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  1. Mon Nov 04 01:06:08 2013 Msieve v. 1.51 (SVN Official Release)
  2. Mon Nov 04 01:06:08 2013 random seeds: 6116de90 78a659e9
  3. Mon Nov 04 01:06:08 2013 factoring 518759670509518390499884894142825232305789370205934770356684820953606669616234831388561087386018771667622991938328056602692240129084683654895676978808741395629768407883 (168 digits)
  4. Mon Nov 04 01:06:09 2013 searching for 15-digit factors
  5. Mon Nov 04 01:06:10 2013 commencing number field sieve (168-digit input)
  6. Mon Nov 04 01:06:10 2013 R0: -551154318026277087308020573543333
  7. Mon Nov 04 01:06:10 2013 R1: 109459496504263717
  8. Mon Nov 04 01:06:10 2013 A0: -27857995650530594214542724173490926656056000
  9. Mon Nov 04 01:06:10 2013 A1: 489092174862742972528340289017184040
  10. Mon Nov 04 01:06:10 2013 A2: 30770925245570759449861491874
  11. Mon Nov 04 01:06:10 2013 A3: -51337377580050003917
  12. Mon Nov 04 01:06:10 2013 A4: -4407409358582
  13. Mon Nov 04 01:06:10 2013 A5: 10200
  14. Mon Nov 04 01:06:10 2013 skew 89100677.43, size 2.382e-016, alpha -8.201, combined = 4.765e-013 rroots = 5
  15. Mon Nov 04 01:06:10 2013
  16. Mon Nov 04 01:06:10 2013 commencing relation filtering
  17. Mon Nov 04 01:06:10 2013 estimated available RAM is 8145.3 MB
  18. Mon Nov 04 01:06:10 2013 commencing duplicate removal, pass 1
  19. <errors reading relations>
  20. Mon Nov 04 01:49:47 2013 skipped 8525 relations with b > 2^32
  21. Mon Nov 04 01:49:47 2013 found 42216353 hash collisions in 221609443 relations
  22. Mon Nov 04 01:50:52 2013 added 121298 free relations
  23. Mon Nov 04 01:50:52 2013 commencing duplicate removal, pass 2
  24. Mon Nov 04 02:01:34 2013 found 41374467 duplicates and 180356274 unique relations
  25. Mon Nov 04 02:01:34 2013 memory use: 1321.5 MB
  26. Mon Nov 04 02:01:34 2013 reading ideals above 187629568
  27. Mon Nov 04 02:01:34 2013 commencing singleton removal, initial pass
  28. Mon Nov 04 02:40:18 2013 memory use: 3012.0 MB
  29. Mon Nov 04 02:40:18 2013 reading all ideals from disk
  30. Mon Nov 04 02:41:50 2013 memory use: 2936.7 MB
  31. Mon Nov 04 02:41:57 2013 commencing in-memory singleton removal
  32. Mon Nov 04 02:42:04 2013 begin with 180356274 relations and 144382251 unique ideals
  33. Mon Nov 04 02:43:20 2013 reduce to 110503819 relations and 66470140 ideals in 13 passes
  34. Mon Nov 04 02:43:20 2013 max relations containing the same ideal: 30
  35. Mon Nov 04 02:43:30 2013 reading ideals above 720000
  36. Mon Nov 04 02:43:30 2013 commencing singleton removal, initial pass
  37. Mon Nov 04 03:16:12 2013 memory use: 2756.0 MB
  38. Mon Nov 04 03:16:13 2013 reading large ideals from disk
  39. Mon Nov 04 03:19:03 2013 keeping 79379567 ideals with weight <= 20, target excess is 7945846
  40. Mon Nov 04 03:22:56 2013 memory use: 2658.0 MB
  41. Mon Nov 04 03:22:56 2013 commencing in-memory singleton removal
  42. Mon Nov 04 03:23:02 2013 begin with 110503819 relations and 79379567 unique ideals
  43. Mon Nov 04 03:24:08 2013 reduce to 110460465 relations and 79336213 ideals in 8 passes
  44. Mon Nov 04 03:24:08 2013 max relations containing the same ideal: 20
  45. Mon Nov 04 03:24:45 2013 removing 9773898 relations and 7773898 ideals in 2000000 cliques
  46. Mon Nov 04 03:24:48 2013 commencing in-memory singleton removal
  47. Mon Nov 04 03:24:53 2013 begin with 100686567 relations and 79336213 unique ideals
  48. Mon Nov 04 03:25:57 2013 reduce to 100047464 relations and 70908240 ideals in 9 passes
  49. Mon Nov 04 03:25:57 2013 max relations containing the same ideal: 20
  50. Mon Nov 04 03:26:29 2013 removing 7379045 relations and 5379045 ideals in 2000000 cliques
  51. Mon Nov 04 03:26:32 2013 commencing in-memory singleton removal
  52. Mon Nov 04 03:26:36 2013 begin with 92668419 relations and 70908240 unique ideals
  53. Mon Nov 04 03:27:24 2013 reduce to 92261079 relations and 65113488 ideals in 7 passes
  54. Mon Nov 04 03:27:24 2013 max relations containing the same ideal: 20
  55. Mon Nov 04 03:27:57 2013 removing 6681254 relations and 4681254 ideals in 2000000 cliques
  56. Mon Nov 04 03:27:59 2013 commencing in-memory singleton removal
  57. Mon Nov 04 03:28:03 2013 begin with 85579825 relations and 65113488 unique ideals
  58. Mon Nov 04 03:28:45 2013 reduce to 85241189 relations and 60086377 ideals in 7 passes
  59. Mon Nov 04 03:28:45 2013 max relations containing the same ideal: 20
  60. Mon Nov 04 03:29:12 2013 removing 6298079 relations and 4298079 ideals in 2000000 cliques
  61. Mon Nov 04 03:29:14 2013 commencing in-memory singleton removal
  62. Mon Nov 04 03:29:18 2013 begin with 78943110 relations and 60086377 unique ideals
  63. Mon Nov 04 03:29:52 2013 reduce to 78640291 relations and 55478713 ideals in 7 passes
  64. Mon Nov 04 03:29:52 2013 max relations containing the same ideal: 20
  65. Mon Nov 04 03:30:18 2013 removing 6030069 relations and 4030069 ideals in 2000000 cliques
  66. Mon Nov 04 03:30:19 2013 commencing in-memory singleton removal
  67. Mon Nov 04 03:30:23 2013 begin with 72610222 relations and 55478713 unique ideals
  68. Mon Nov 04 03:30:58 2013 reduce to 72327987 relations and 51159693 ideals in 7 passes
  69. Mon Nov 04 03:30:58 2013 max relations containing the same ideal: 20
  70. Mon Nov 04 03:31:23 2013 removing 5838536 relations and 3838536 ideals in 2000000 cliques
  71. Mon Nov 04 03:31:25 2013 commencing in-memory singleton removal
  72. Mon Nov 04 03:31:28 2013 begin with 66489451 relations and 51159693 unique ideals
  73. Mon Nov 04 03:31:58 2013 reduce to 66218335 relations and 47043182 ideals in 6 passes
  74. Mon Nov 04 03:31:58 2013 max relations containing the same ideal: 20
  75. Mon Nov 04 03:32:19 2013 removing 5684911 relations and 3684911 ideals in 2000000 cliques
  76. Mon Nov 04 03:32:21 2013 commencing in-memory singleton removal
  77. Mon Nov 04 03:32:23 2013 begin with 60533424 relations and 47043182 unique ideals
  78. Mon Nov 04 03:32:52 2013 reduce to 60260363 relations and 43077641 ideals in 7 passes
  79. Mon Nov 04 03:32:52 2013 max relations containing the same ideal: 20
  80. Mon Nov 04 03:33:12 2013 removing 5562896 relations and 3562896 ideals in 2000000 cliques
  81. Mon Nov 04 03:33:14 2013 commencing in-memory singleton removal
  82. Mon Nov 04 03:33:16 2013 begin with 54697467 relations and 43077641 unique ideals
  83. Mon Nov 04 03:33:41 2013 reduce to 54413016 relations and 39221907 ideals in 7 passes
  84. Mon Nov 04 03:33:41 2013 max relations containing the same ideal: 20
  85. Mon Nov 04 03:33:58 2013 removing 5470081 relations and 3470081 ideals in 2000000 cliques
  86. Mon Nov 04 03:33:59 2013 commencing in-memory singleton removal
  87. Mon Nov 04 03:34:01 2013 begin with 48942935 relations and 39221907 unique ideals
  88. Mon Nov 04 03:34:19 2013 reduce to 48634134 relations and 35432904 ideals in 6 passes
  89. Mon Nov 04 03:34:19 2013 max relations containing the same ideal: 19
  90. Mon Nov 04 03:34:33 2013 removing 5433144 relations and 3433144 ideals in 2000000 cliques
  91. Mon Nov 04 03:34:35 2013 commencing in-memory singleton removal
  92. Mon Nov 04 03:34:37 2013 begin with 43200990 relations and 35432904 unique ideals
  93. Mon Nov 04 03:34:53 2013 reduce to 42852057 relations and 31638316 ideals in 7 passes
  94. Mon Nov 04 03:34:53 2013 max relations containing the same ideal: 19
  95. Mon Nov 04 03:35:06 2013 removing 5404786 relations and 3408227 ideals in 1996559 cliques
  96. Mon Nov 04 03:35:08 2013 commencing in-memory singleton removal
  97. Mon Nov 04 03:35:09 2013 begin with 37447271 relations and 31638316 unique ideals
  98. Mon Nov 04 03:35:26 2013 reduce to 37020622 relations and 27786412 ideals in 7 passes
  99. Mon Nov 04 03:35:26 2013 max relations containing the same ideal: 18
  100. Mon Nov 04 03:35:38 2013 removing 71608 relations and 54580 ideals in 17028 cliques
  101. Mon Nov 04 03:35:39 2013 commencing in-memory singleton removal
  102. Mon Nov 04 03:35:40 2013 begin with 36949014 relations and 27786412 unique ideals
  103. Mon Nov 04 03:35:49 2013 reduce to 36948743 relations and 27731561 ideals in 4 passes
  104. Mon Nov 04 03:35:49 2013 max relations containing the same ideal: 18
  105. Mon Nov 04 03:35:52 2013 relations with 0 large ideals: 455989
  106. Mon Nov 04 03:35:52 2013 relations with 1 large ideals: 3963706
  107. Mon Nov 04 03:35:52 2013 relations with 2 large ideals: 11353720
  108. Mon Nov 04 03:35:52 2013 relations with 3 large ideals: 13117513
  109. Mon Nov 04 03:35:52 2013 relations with 4 large ideals: 6297715
  110. Mon Nov 04 03:35:52 2013 relations with 5 large ideals: 1510709
  111. Mon Nov 04 03:35:52 2013 relations with 6 large ideals: 228915
  112. Mon Nov 04 03:35:52 2013 relations with 7+ large ideals: 20476
  113. Mon Nov 04 03:35:52 2013 commencing 2-way merge
  114. Mon Nov 04 03:36:08 2013 reduce to 25927478 relation sets and 16710296 unique ideals
  115. Mon Nov 04 03:36:08 2013 commencing full merge
  116. Mon Nov 04 03:39:12 2013 memory use: 1560.3 MB
  117. Mon Nov 04 03:39:16 2013 found 13567415 cycles, need 12296496
  118. Mon Nov 04 03:39:17 2013 weight of 12296496 cycles is about 861141906 (70.03/cycle)
  119. Mon Nov 04 03:39:17 2013 distribution of cycle lengths:
  120. Mon Nov 04 03:39:17 2013 1 relations: 876289
  121. Mon Nov 04 03:39:17 2013 2 relations: 1343548
  122. Mon Nov 04 03:39:17 2013 3 relations: 1577313
  123. Mon Nov 04 03:39:17 2013 4 relations: 1636706
  124. Mon Nov 04 03:39:17 2013 5 relations: 1634305
  125. Mon Nov 04 03:39:17 2013 6 relations: 1488735
  126. Mon Nov 04 03:39:17 2013 7 relations: 1286459
  127. Mon Nov 04 03:39:17 2013 8 relations: 1038363
  128. Mon Nov 04 03:39:17 2013 9 relations: 781790
  129. Mon Nov 04 03:39:17 2013 10+ relations: 632988
  130. Mon Nov 04 03:39:17 2013 heaviest cycle: 13 relations
  131. Mon Nov 04 03:39:18 2013 commencing cycle optimization
  132. Mon Nov 04 03:39:36 2013 start with 62702032 relations
  133. Mon Nov 04 03:41:27 2013 pruned 2254765 relations
  134. Mon Nov 04 03:41:28 2013 memory use: 2054.8 MB
  135. Mon Nov 04 03:41:28 2013 distribution of cycle lengths:
  136. Mon Nov 04 03:41:28 2013 1 relations: 876289
  137. Mon Nov 04 03:41:28 2013 2 relations: 1394533
  138. Mon Nov 04 03:41:28 2013 3 relations: 1680940
  139. Mon Nov 04 03:41:28 2013 4 relations: 1736222
  140. Mon Nov 04 03:41:28 2013 5 relations: 1735425
  141. Mon Nov 04 03:41:28 2013 6 relations: 1544774
  142. Mon Nov 04 03:41:28 2013 7 relations: 1292513
  143. Mon Nov 04 03:41:28 2013 8 relations: 971998
  144. Mon Nov 04 03:41:28 2013 9 relations: 656006
  145. Mon Nov 04 03:41:28 2013 10+ relations: 407796
  146. Mon Nov 04 03:41:28 2013 heaviest cycle: 13 relations
  147. Mon Nov 04 03:41:44 2013 RelProcTime: 9334
  148. Mon Nov 04 03:41:44 2013
  149. Mon Nov 04 03:41:44 2013 commencing linear algebra
  150. Mon Nov 04 03:41:46 2013 read 12296496 cycles
  151. Mon Nov 04 03:42:07 2013 cycles contain 33100656 unique relations
  152. Mon Nov 04 03:52:52 2013 read 33100656 relations
  153. Mon Nov 04 03:53:43 2013 using 20 quadratic characters above 2147483070
  154. Mon Nov 04 03:56:29 2013 building initial matrix
  155. Mon Nov 04 04:04:36 2013 memory use: 4725.3 MB
  156. Mon Nov 04 04:06:11 2013 read 12296496 cycles
  157. Mon Nov 04 04:06:16 2013 matrix is 12295964 x 12296496 (3699.1 MB) with weight 1180388161 (95.99/col)
  158. Mon Nov 04 04:06:16 2013 sparse part has weight 822141654 (66.86/col)
  159. Mon Nov 04 04:09:11 2013 filtering completed in 3 passes
  160. Mon Nov 04 04:09:17 2013 matrix is 12277474 x 12277674 (3696.6 MB) with weight 1179476836 (96.07/col)
  161. Mon Nov 04 04:09:17 2013 sparse part has weight 821721565 (66.93/col)
  162. Mon Nov 04 04:12:45 2013 matrix starts at (0, 0)
  163. Mon Nov 04 04:12:50 2013 matrix is 12277474 x 12277674 (3696.6 MB) with weight 1179476836 (96.07/col)
  164. Mon Nov 04 04:12:50 2013 sparse part has weight 821721565 (66.93/col)
  165. Mon Nov 04 04:12:50 2013 saving the first 48 matrix rows for later
  166. Mon Nov 04 04:12:53 2013 matrix includes 64 packed rows
  167. Mon Nov 04 04:12:55 2013 matrix is 12277426 x 12277674 (3579.5 MB) with weight 935623523 (76.21/col)
  168. Mon Nov 04 04:12:55 2013 sparse part has weight 815572776 (66.43/col)
  169. Mon Nov 04 04:12:55 2013 using block size 65536 for processor cache size 8192 kB
  170. Mon Nov 04 04:13:49 2013 commencing Lanczos iteration (3 threads)
  171. Mon Nov 04 04:13:49 2013 memory use: 3069.1 MB
  172. Mon Nov 04 04:15:14 2013 linear algebra at 0.0%, ETA 184h48m
  173. Mon Nov 04 04:15:41 2013 checkpointing every 70000 dimensions
  174. Sat Nov 09 00:05:46 2013
  175. Sat Nov 09 00:05:46 2013
  176. Sat Nov 09 00:05:46 2013 Msieve v. 1.51 (SVN Official Release)
  177. Sat Nov 09 00:05:46 2013 random seeds: 867e7fe0 730e5834
  178. Sat Nov 09 00:05:46 2013 factoring 518759670509518390499884894142825232305789370205934770356684820953606669616234831388561087386018771667622991938328056602692240129084683654895676978808741395629768407883 (168 digits)
  179. Sat Nov 09 00:05:46 2013 searching for 15-digit factors
  180. Sat Nov 09 00:05:47 2013 commencing number field sieve (168-digit input)
  181. Sat Nov 09 00:05:47 2013 R0: -551154318026277087308020573543333
  182. Sat Nov 09 00:05:47 2013 R1: 109459496504263717
  183. Sat Nov 09 00:05:47 2013 A0: -27857995650530594214542724173490926656056000
  184. Sat Nov 09 00:05:47 2013 A1: 489092174862742972528340289017184040
  185. Sat Nov 09 00:05:47 2013 A2: 30770925245570759449861491874
  186. Sat Nov 09 00:05:47 2013 A3: -51337377580050003917
  187. Sat Nov 09 00:05:47 2013 A4: -4407409358582
  188. Sat Nov 09 00:05:47 2013 A5: 10200
  189. Sat Nov 09 00:05:47 2013 skew 89100677.43, size 2.382e-016, alpha -8.201, combined = 4.765e-013 rroots = 5
  190. Sat Nov 09 00:05:47 2013
  191. Sat Nov 09 00:05:47 2013 commencing linear algebra
  192. Sat Nov 09 00:08:22 2013 matrix starts at (0, 0)
  193. Sat Nov 09 00:08:26 2013 matrix is 12277474 x 12277674 (3696.6 MB) with weight 1179476836 (96.07/col)
  194. Sat Nov 09 00:08:26 2013 sparse part has weight 821721565 (66.93/col)
  195. Sat Nov 09 00:08:26 2013 saving the first 48 matrix rows for later
  196. Sat Nov 09 00:08:29 2013 matrix includes 64 packed rows
  197. Sat Nov 09 00:08:30 2013 matrix is 12277426 x 12277674 (3579.5 MB) with weight 935623523 (76.21/col)
  198. Sat Nov 09 00:08:30 2013 sparse part has weight 815572776 (66.43/col)
  199. Sat Nov 09 00:08:31 2013 using block size 65536 for processor cache size 8192 kB
  200. Sat Nov 09 00:09:12 2013 commencing Lanczos iteration (4 threads)
  201. Sat Nov 09 00:09:12 2013 memory use: 3162.8 MB
  202. Sat Nov 09 00:09:28 2013 restarting at iteration 119554 (dim = 7560032)
  203. Sat Nov 09 00:10:58 2013 linear algebra at 61.6%, ETA 77h46m
  204. Sat Nov 09 00:11:24 2013 checkpointing every 70000 dimensions
  205. Mon Nov 11 17:25:02 2013 lanczos halted after 194157 iterations (dim = 12277426)
  206. Mon Nov 11 17:25:27 2013 recovered 30 nontrivial dependencies
  207. Mon Nov 11 17:25:31 2013 BLanczosTime: 235184
  208. Mon Nov 11 17:25:31 2013 elapsed time 65:19:45
  209. Mon Nov 11 21:57:45 2013
  210. Mon Nov 11 21:57:45 2013
  211. Mon Nov 11 21:57:45 2013 Msieve v. 1.51 (SVN Official Release)
  212. Mon Nov 11 21:57:45 2013 random seeds: 92ec5e00 2f2443a5
  213. Mon Nov 11 21:57:45 2013 factoring 518759670509518390499884894142825232305789370205934770356684820953606669616234831388561087386018771667622991938328056602692240129084683654895676978808741395629768407883 (168 digits)
  214. Mon Nov 11 21:57:45 2013 searching for 15-digit factors
  215. Mon Nov 11 21:57:46 2013 commencing number field sieve (168-digit input)
  216. Mon Nov 11 21:57:46 2013 R0: -551154318026277087308020573543333
  217. Mon Nov 11 21:57:46 2013 R1: 109459496504263717
  218. Mon Nov 11 21:57:46 2013 A0: -27857995650530594214542724173490926656056000
  219. Mon Nov 11 21:57:46 2013 A1: 489092174862742972528340289017184040
  220. Mon Nov 11 21:57:46 2013 A2: 30770925245570759449861491874
  221. Mon Nov 11 21:57:46 2013 A3: -51337377580050003917
  222. Mon Nov 11 21:57:46 2013 A4: -4407409358582
  223. Mon Nov 11 21:57:46 2013 A5: 10200
  224. Mon Nov 11 21:57:46 2013 skew 89100677.43, size 2.382e-016, alpha -8.201, combined = 4.765e-013 rroots = 5
  225. Mon Nov 11 21:57:46 2013
  226. Mon Nov 11 21:57:46 2013 commencing square root phase
  227. Mon Nov 11 21:57:46 2013 reading relations for dependency 1
  228. Mon Nov 11 21:57:52 2013 read 6140293 cycles
  229. Mon Nov 11 21:57:59 2013 cycles contain 16551160 unique relations
  230. Mon Nov 11 22:09:25 2013 read 16551160 relations
  231. Mon Nov 11 22:10:58 2013 multiplying 16551160 relations
  232. Mon Nov 11 22:30:12 2013 multiply complete, coefficients have about 876.75 million bits
  233. Mon Nov 11 22:30:19 2013 initial square root is modulo 73410017
  234. Mon Nov 11 22:55:29 2013 sqrtTime: 3463
  235. Mon Nov 11 22:55:29 2013 prp65 factor: 37792525645009215672640814114905288002695134234191638876505642649
  236. Mon Nov 11 22:55:29 2013 prp104 factor: 13726515009404365290893989999446372257366451228738644541888215061872548011642399835314991189895341089667
  237. Mon Nov 11 22:55:29 2013 elapsed time 00:57:44
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