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F2451

CarlosPinho Jun 7th, 2016 41 Never
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ENDING IN00days00hours00mins00secs
 
  1. Wed Jun 26 08:32:10 2013  
  2. Wed Jun 26 08:32:10 2013  
  3. Wed Jun 26 08:32:10 2013  Msieve v. 1.52 (SVN 900)
  4. Wed Jun 26 08:32:10 2013  random seeds: 103467b6 91a2c2dc
  5. Wed Jun 26 08:32:10 2013  factoring 2248421991570580544354815326000245517949793396034394808130191624434639862597357599962186561100390318145651666783794379316774789042401570051014296549560099832581860249 (166 digits)
  6. Wed Jun 26 08:32:11 2013  no P-1/P+1/ECM available, skipping
  7. Wed Jun 26 08:32:11 2013  commencing number field sieve (166-digit input)
  8. Wed Jun 26 08:32:11 2013  R0: -130502333048562015485882776647706
  9. Wed Jun 26 08:32:11 2013  R1: 1151377184632633
  10. Wed Jun 26 08:32:11 2013  A0: 230134123250219987009391129471306459294165
  11. Wed Jun 26 08:32:11 2013  A1: 28409710110427215836411146940916724
  12. Wed Jun 26 08:32:11 2013  A2: -1942793407354814589668899671
  13. Wed Jun 26 08:32:11 2013  A3: -187806560734785035864
  14. Wed Jun 26 08:32:11 2013  A4: 5360067014966
  15. Wed Jun 26 08:32:11 2013  A5: 59400
  16. Wed Jun 26 08:32:11 2013  skew 23550216.72, size 3.816e-16, alpha -7.379, combined = 6.331e-13 rroots = 5
  17. Wed Jun 26 08:32:11 2013  
  18. Wed Jun 26 08:32:11 2013  commencing relation filtering
  19. Wed Jun 26 08:32:11 2013  estimated available RAM is 15929.3 MB
  20. Wed Jun 26 08:32:11 2013  commencing duplicate removal, pass 1
  21. Wed Jun 26 08:34:40 2013  error -15 reading relation 21977497
  22. ...
  23. Wed Jun 26 08:59:41 2013  error -9 reading relation 253855161
  24. Wed Jun 26 08:59:43 2013  skipped 38 relations with b > 2^32
  25. Wed Jun 26 08:59:43 2013  found 50880860 hash collisions in 254162470 relations
  26. Wed Jun 26 09:00:08 2013  added 122305 free relations
  27. Wed Jun 26 09:00:08 2013  commencing duplicate removal, pass 2
  28. Wed Jun 26 09:01:33 2013  found 50132353 duplicates and 204152422 unique relations
  29. Wed Jun 26 09:01:33 2013  memory use: 1321.5 MB
  30. Wed Jun 26 09:01:33 2013  reading ideals above 119996416
  31. Wed Jun 26 09:01:33 2013  commencing singleton removal, initial pass
  32. Wed Jun 26 09:25:53 2013  memory use: 3012.0 MB
  33. Wed Jun 26 09:25:53 2013  reading all ideals from disk
  34. Wed Jun 26 09:25:59 2013  memory use: 3486.7 MB
  35. Wed Jun 26 09:26:06 2013  commencing in-memory singleton removal
  36. Wed Jun 26 09:26:13 2013  begin with 204152422 relations and 161515609 unique ideals
  37. Wed Jun 26 09:27:24 2013  reduce to 138943757 relations and 90114854 ideals in 13 passes
  38. Wed Jun 26 09:27:24 2013  max relations containing the same ideal: 51
  39. Wed Jun 26 09:27:31 2013  reading ideals above 720000
  40. Wed Jun 26 09:27:31 2013  commencing singleton removal, initial pass
  41. Wed Jun 26 09:47:04 2013  memory use: 2756.0 MB
  42. Wed Jun 26 09:47:05 2013  reading all ideals from disk
  43. Wed Jun 26 09:47:15 2013  memory use: 5300.8 MB
  44. Wed Jun 26 09:47:28 2013  keeping 103080161 ideals with weight <= 200, target excess is 715872
  45. Wed Jun 26 09:47:42 2013  commencing in-memory singleton removal
  46. Wed Jun 26 09:47:53 2013  begin with 138943757 relations and 103080161 unique ideals
  47. Wed Jun 26 09:49:07 2013  reduce to 138942580 relations and 103078984 ideals in 7 passes
  48. Wed Jun 26 09:49:07 2013  max relations containing the same ideal: 200
  49. Wed Jun 26 09:49:58 2013  removing 9822192 relations and 7822192 ideals in 2000000 cliques
  50. Wed Jun 26 09:50:01 2013  commencing in-memory singleton removal
  51. Wed Jun 26 09:50:11 2013  begin with 129120388 relations and 103078984 unique ideals
  52. Wed Jun 26 09:51:21 2013  reduce to 128604520 relations and 94731628 ideals in 7 passes
  53. Wed Jun 26 09:51:21 2013  max relations containing the same ideal: 197
  54. Wed Jun 26 09:52:10 2013  removing 7487194 relations and 5487194 ideals in 2000000 cliques
  55. Wed Jun 26 09:52:12 2013  commencing in-memory singleton removal
  56. Wed Jun 26 09:52:22 2013  begin with 121117326 relations and 94731628 unique ideals
  57. Wed Jun 26 09:53:26 2013  reduce to 120771498 relations and 88893082 ideals in 7 passes
  58. Wed Jun 26 09:53:26 2013  max relations containing the same ideal: 193
  59. Wed Jun 26 09:54:10 2013  removing 6818130 relations and 4818130 ideals in 2000000 cliques
  60. Wed Jun 26 09:54:13 2013  commencing in-memory singleton removal
  61. Wed Jun 26 09:54:21 2013  begin with 113953368 relations and 88893082 unique ideals
  62. Wed Jun 26 09:55:22 2013  reduce to 113652852 relations and 83769668 ideals in 7 passes
  63. Wed Jun 26 09:55:22 2013  max relations containing the same ideal: 187
  64. Wed Jun 26 09:56:04 2013  removing 6466636 relations and 4466636 ideals in 2000000 cliques
  65. Wed Jun 26 09:56:06 2013  commencing in-memory singleton removal
  66. Wed Jun 26 09:56:14 2013  begin with 107186216 relations and 83769668 unique ideals
  67. Wed Jun 26 09:57:03 2013  reduce to 106909048 relations and 79021294 ideals in 6 passes
  68. Wed Jun 26 09:57:03 2013  max relations containing the same ideal: 180
  69. Wed Jun 26 09:57:42 2013  removing 6245573 relations and 4245573 ideals in 2000000 cliques
  70. Wed Jun 26 09:57:45 2013  commencing in-memory singleton removal
  71. Wed Jun 26 09:57:52 2013  begin with 100663475 relations and 79021294 unique ideals
  72. Wed Jun 26 09:58:45 2013  reduce to 100398669 relations and 74506366 ideals in 7 passes
  73. Wed Jun 26 09:58:45 2013  max relations containing the same ideal: 173
  74. Wed Jun 26 09:59:22 2013  removing 6090576 relations and 4090576 ideals in 2000000 cliques
  75. Wed Jun 26 09:59:25 2013  commencing in-memory singleton removal
  76. Wed Jun 26 09:59:32 2013  begin with 94308093 relations and 74506366 unique ideals
  77. Wed Jun 26 10:00:14 2013  reduce to 94049596 relations and 70152554 ideals in 6 passes
  78. Wed Jun 26 10:00:14 2013  max relations containing the same ideal: 167
  79. Wed Jun 26 10:00:49 2013  removing 5974716 relations and 3974716 ideals in 2000000 cliques
  80. Wed Jun 26 10:00:51 2013  commencing in-memory singleton removal
  81. Wed Jun 26 10:00:58 2013  begin with 88074880 relations and 70152554 unique ideals
  82. Wed Jun 26 10:01:37 2013  reduce to 87817195 relations and 65915112 ideals in 6 passes
  83. Wed Jun 26 10:01:37 2013  max relations containing the same ideal: 159
  84. Wed Jun 26 10:02:10 2013  removing 5890958 relations and 3890958 ideals in 2000000 cliques
  85. Wed Jun 26 10:02:12 2013  commencing in-memory singleton removal
  86. Wed Jun 26 10:02:18 2013  begin with 81926237 relations and 65915112 unique ideals
  87. Wed Jun 26 10:03:00 2013  reduce to 81664269 relations and 61756781 ideals in 7 passes
  88. Wed Jun 26 10:03:00 2013  max relations containing the same ideal: 154
  89. Wed Jun 26 10:03:31 2013  removing 5826399 relations and 3826399 ideals in 2000000 cliques
  90. Wed Jun 26 10:03:33 2013  commencing in-memory singleton removal
  91. Wed Jun 26 10:03:38 2013  begin with 75837870 relations and 61756781 unique ideals
  92. Wed Jun 26 10:04:11 2013  reduce to 75567122 relations and 57653507 ideals in 6 passes
  93. Wed Jun 26 10:04:11 2013  max relations containing the same ideal: 144
  94. Wed Jun 26 10:04:40 2013  removing 5776756 relations and 3776756 ideals in 2000000 cliques
  95. Wed Jun 26 10:04:42 2013  commencing in-memory singleton removal
  96. Wed Jun 26 10:04:47 2013  begin with 69790366 relations and 57653507 unique ideals
  97. Wed Jun 26 10:05:23 2013  reduce to 69509525 relations and 53589326 ideals in 7 passes
  98. Wed Jun 26 10:05:23 2013  max relations containing the same ideal: 137
  99. Wed Jun 26 10:05:49 2013  removing 5744018 relations and 3744018 ideals in 2000000 cliques
  100. Wed Jun 26 10:05:51 2013  commencing in-memory singleton removal
  101. Wed Jun 26 10:05:55 2013  begin with 63765507 relations and 53589326 unique ideals
  102. Wed Jun 26 10:06:23 2013  reduce to 63470494 relations and 49542644 ideals in 6 passes
  103. Wed Jun 26 10:06:23 2013  max relations containing the same ideal: 129
  104. Wed Jun 26 10:06:47 2013  removing 5720337 relations and 3720337 ideals in 2000000 cliques
  105. Wed Jun 26 10:06:49 2013  commencing in-memory singleton removal
  106. Wed Jun 26 10:06:53 2013  begin with 57750157 relations and 49542644 unique ideals
  107. Wed Jun 26 10:07:22 2013  reduce to 57433967 relations and 45497460 ideals in 7 passes
  108. Wed Jun 26 10:07:22 2013  max relations containing the same ideal: 124
  109. Wed Jun 26 10:07:45 2013  removing 5714538 relations and 3714538 ideals in 2000000 cliques
  110. Wed Jun 26 10:07:47 2013  commencing in-memory singleton removal
  111. Wed Jun 26 10:07:50 2013  begin with 51719429 relations and 45497460 unique ideals
  112. Wed Jun 26 10:08:12 2013  reduce to 51376693 relations and 41429875 ideals in 6 passes
  113. Wed Jun 26 10:08:12 2013  max relations containing the same ideal: 114
  114. Wed Jun 26 10:08:32 2013  removing 5713282 relations and 3713282 ideals in 2000000 cliques
  115. Wed Jun 26 10:08:33 2013  commencing in-memory singleton removal
  116. Wed Jun 26 10:08:36 2013  begin with 45663411 relations and 41429875 unique ideals
  117. Wed Jun 26 10:08:55 2013  reduce to 45286613 relations and 37327182 ideals in 6 passes
  118. Wed Jun 26 10:08:55 2013  max relations containing the same ideal: 103
  119. Wed Jun 26 10:09:13 2013  removing 5728257 relations and 3728257 ideals in 2000000 cliques
  120. Wed Jun 26 10:09:14 2013  commencing in-memory singleton removal
  121. Wed Jun 26 10:09:17 2013  begin with 39558356 relations and 37327182 unique ideals
  122. Wed Jun 26 10:09:36 2013  reduce to 39132707 relations and 33157558 ideals in 7 passes
  123. Wed Jun 26 10:09:36 2013  max relations containing the same ideal: 93
  124. Wed Jun 26 10:09:51 2013  removing 5752630 relations and 3752630 ideals in 2000000 cliques
  125. Wed Jun 26 10:09:53 2013  commencing in-memory singleton removal
  126. Wed Jun 26 10:09:55 2013  begin with 33380077 relations and 33157558 unique ideals
  127. Wed Jun 26 10:10:10 2013  reduce to 32888262 relations and 28892205 ideals in 7 passes
  128. Wed Jun 26 10:10:10 2013  max relations containing the same ideal: 84
  129. Wed Jun 26 10:10:23 2013  removing 5787331 relations and 3787331 ideals in 2000000 cliques
  130. Wed Jun 26 10:10:25 2013  commencing in-memory singleton removal
  131. Wed Jun 26 10:10:26 2013  begin with 27100931 relations and 28892205 unique ideals
  132. Wed Jun 26 10:10:40 2013  reduce to 26499741 relations and 24473619 ideals in 8 passes
  133. Wed Jun 26 10:10:40 2013  max relations containing the same ideal: 72
  134. Wed Jun 26 10:10:51 2013  removing 3816607 relations and 2620897 ideals in 1195710 cliques
  135. Wed Jun 26 10:10:52 2013  commencing in-memory singleton removal
  136. Wed Jun 26 10:10:53 2013  begin with 22683134 relations and 24473619 unique ideals
  137. Wed Jun 26 10:11:05 2013  reduce to 22314508 relations and 21469409 ideals in 8 passes
  138. Wed Jun 26 10:11:05 2013  max relations containing the same ideal: 66
  139. Wed Jun 26 10:11:13 2013  removing 93190 relations and 78503 ideals in 14687 cliques
  140. Wed Jun 26 10:11:14 2013  commencing in-memory singleton removal
  141. Wed Jun 26 10:11:16 2013  begin with 22221318 relations and 21469409 unique ideals
  142. Wed Jun 26 10:11:21 2013  reduce to 22221097 relations and 21390685 ideals in 4 passes
  143. Wed Jun 26 10:11:21 2013  max relations containing the same ideal: 65
  144. Wed Jun 26 10:11:24 2013  relations with 0 large ideals: 2280
  145. Wed Jun 26 10:11:24 2013  relations with 1 large ideals: 19095
  146. Wed Jun 26 10:11:24 2013  relations with 2 large ideals: 244929
  147. Wed Jun 26 10:11:24 2013  relations with 3 large ideals: 1308546
  148. Wed Jun 26 10:11:24 2013  relations with 4 large ideals: 3626421
  149. Wed Jun 26 10:11:24 2013  relations with 5 large ideals: 5848522
  150. Wed Jun 26 10:11:24 2013  relations with 6 large ideals: 5827474
  151. Wed Jun 26 10:11:24 2013  relations with 7+ large ideals: 5343830
  152. Wed Jun 26 10:11:24 2013  commencing 2-way merge
  153. Wed Jun 26 10:11:35 2013  reduce to 14634275 relation sets and 13803863 unique ideals
  154. Wed Jun 26 10:11:35 2013  commencing full merge
  155. Wed Jun 26 10:13:45 2013  memory use: 1593.4 MB
  156. Wed Jun 26 10:13:46 2013  found 7988361 cycles, need 7874063
  157. Wed Jun 26 10:13:48 2013  weight of 7874063 cycles is about 551397800 (70.03/cycle)
  158. Wed Jun 26 10:13:48 2013  distribution of cycle lengths:
  159. Wed Jun 26 10:13:48 2013  1 relations: 752965
  160. Wed Jun 26 10:13:48 2013  2 relations: 936163
  161. Wed Jun 26 10:13:48 2013  3 relations: 1045100
  162. Wed Jun 26 10:13:48 2013  4 relations: 1039883
  163. Wed Jun 26 10:13:48 2013  5 relations: 986547
  164. Wed Jun 26 10:13:48 2013  6 relations: 853948
  165. Wed Jun 26 10:13:48 2013  7 relations: 694638
  166. Wed Jun 26 10:13:48 2013  8 relations: 527680
  167. Wed Jun 26 10:13:48 2013  9 relations: 379189
  168. Wed Jun 26 10:13:48 2013  10+ relations: 657950
  169. Wed Jun 26 10:13:48 2013  heaviest cycle: 16 relations
  170. Wed Jun 26 10:13:50 2013  commencing cycle optimization
  171. Wed Jun 26 10:13:58 2013  start with 39792747 relations
  172. Wed Jun 26 10:14:31 2013  pruned 1072143 relations
  173. Wed Jun 26 10:14:31 2013  memory use: 1329.9 MB
  174. Wed Jun 26 10:14:31 2013  distribution of cycle lengths:
  175. Wed Jun 26 10:14:31 2013  1 relations: 752965
  176. Wed Jun 26 10:14:31 2013  2 relations: 957535
  177. Wed Jun 26 10:14:31 2013  3 relations: 1086619
  178. Wed Jun 26 10:14:31 2013  4 relations: 1073830
  179. Wed Jun 26 10:14:31 2013  5 relations: 1020691
  180. Wed Jun 26 10:14:31 2013  6 relations: 871304
  181. Wed Jun 26 10:14:31 2013  7 relations: 698321
  182. Wed Jun 26 10:14:31 2013  8 relations: 514177
  183. Wed Jun 26 10:14:31 2013  9 relations: 357658
  184. Wed Jun 26 10:14:31 2013  10+ relations: 540963
  185. Wed Jun 26 10:14:31 2013  heaviest cycle: 16 relations
  186. Wed Jun 26 10:14:38 2013  RelProcTime: 6147
  187. Wed Jun 26 10:14:38 2013  
  188. Wed Jun 26 10:14:38 2013  commencing linear algebra
  189. Wed Jun 26 10:14:41 2013  read 7874063 cycles
  190. Wed Jun 26 10:14:49 2013  cycles contain 21795532 unique relations
  191. Wed Jun 26 10:17:34 2013  read 21795532 relations
  192. Wed Jun 26 10:17:55 2013  using 20 quadratic characters above 2147483124
  193. Wed Jun 26 10:19:15 2013  building initial matrix
  194. Wed Jun 26 10:21:49 2013  memory use: 3038.5 MB
  195. Wed Jun 26 10:21:51 2013  read 7874063 cycles
  196. Wed Jun 26 10:21:52 2013  matrix is 7873884 x 7874063 (2389.3 MB) with weight 747966664 (94.99/col)
  197. Wed Jun 26 10:21:52 2013  sparse part has weight 531841857 (67.54/col)
  198. Wed Jun 26 10:22:53 2013  filtering completed in 2 passes
  199. Wed Jun 26 10:22:54 2013  matrix is 7872058 x 7872237 (2389.1 MB) with weight 747903024 (95.01/col)
  200. Wed Jun 26 10:22:54 2013  sparse part has weight 531824640 (67.56/col)
  201. Wed Jun 26 10:23:20 2013  matrix starts at (0, 0)
  202. Wed Jun 26 10:23:21 2013  matrix is 7872058 x 7872237 (2389.1 MB) with weight 747903024 (95.01/col)
  203. Wed Jun 26 10:23:21 2013  sparse part has weight 531824640 (67.56/col)
  204. Wed Jun 26 10:23:21 2013  saving the first 48 matrix rows for later
  205. Wed Jun 26 10:23:22 2013  matrix includes 64 packed rows
  206. Wed Jun 26 10:23:22 2013  matrix is 7872010 x 7872237 (2311.8 MB) with weight 597211549 (75.86/col)
  207. Wed Jun 26 10:23:22 2013  sparse part has weight 527303123 (66.98/col)
  208. Wed Jun 26 10:23:22 2013  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  209. Wed Jun 26 10:23:42 2013  commencing Lanczos iteration (4 threads)
  210. Wed Jun 26 10:23:42 2013  memory use: 1871.5 MB
  211. Wed Jun 26 10:24:03 2013  linear algebra at 0.0%, ETA 30h20m
  212. Wed Jun 26 10:24:10 2013  checkpointing every 260000 dimensions
  213. Thu Jun 27 16:25:38 2013  lanczos halted after 124485 iterations (dim = 7872010)
  214. Thu Jun 27 16:25:44 2013  recovered 31 nontrivial dependencies
  215. Thu Jun 27 16:25:44 2013  BLanczosTime: 108666
  216. Thu Jun 27 16:25:44 2013  
  217. Thu Jun 27 16:25:44 2013  commencing square root phase
  218. Thu Jun 27 16:25:44 2013  reading relations for dependency 1
  219. Thu Jun 27 16:25:44 2013  read 3933404 cycles
  220. Thu Jun 27 16:25:48 2013  cycles contain 10893856 unique relations
  221. Thu Jun 27 16:27:18 2013  read 10893856 relations
  222. Thu Jun 27 16:27:58 2013  multiplying 10893856 relations
  223. Thu Jun 27 16:38:45 2013  multiply complete, coefficients have about 589.32 million bits
  224. Thu Jun 27 16:38:48 2013  initial square root is modulo 193813
  225. Thu Jun 27 16:50:59 2013  sqrtTime: 1515
  226. Thu Jun 27 16:50:59 2013  prp82 factor: 7468059932332690451585949068908636116578981894888486345090001982704763727214778261
  227. Thu Jun 27 16:50:59 2013  prp84 factor: 301071765886093165140173898562402220017061918658379074374991551061315303128704561909
  228. Thu Jun 27 16:50:59 2013  elapsed time 32:18:49
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