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CarlosPinho May 31st, 2016 26 Never
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  1. Sat Mar 21 17:35:49 2015  
  2. Sat Mar 21 17:35:49 2015  Msieve v. 1.53 (SVN Unversioned directory)
  3. Sat Mar 21 17:35:49 2015  random seeds: 1a3925af 67ae6bef
  4. Sat Mar 21 17:35:49 2015  factoring 920648307404766226386022416843690249879912018389942562433804385231719445400655248360249796352868253220015837469028265219536902918516491323735714994574616150577661010231780314077291576883653554518311713801204439211210720454369016692830135773386069 (246 digits)
  5. Sat Mar 21 17:35:50 2015  searching for 15-digit factors
  6. Sat Mar 21 17:35:52 2015  commencing number field sieve (246-digit input)
  7. Sat Mar 21 17:35:52 2015  R0: -21778071482940061661655974875633165533184
  8. Sat Mar 21 17:35:52 2015  R1: 1
  9. Sat Mar 21 17:35:52 2015  A0: -1
  10. Sat Mar 21 17:35:52 2015  A1: 0
  11. Sat Mar 21 17:35:52 2015  A2: 0
  12. Sat Mar 21 17:35:52 2015  A3: 0
  13. Sat Mar 21 17:35:52 2015  A4: 0
  14. Sat Mar 21 17:35:52 2015  A5: 0
  15. Sat Mar 21 17:35:52 2015  A6: 25888
  16. Sat Mar 21 17:35:52 2015  skew 1.00, size 2.217e-12, alpha 0.293, combined = 1.947e-13 rroots = 2
  17. Sat Mar 21 17:35:52 2015  
  18. Sat Mar 21 17:35:52 2015  commencing relation filtering
  19. Sat Mar 21 17:35:52 2015  setting target matrix density to 120.0
  20. Sat Mar 21 17:35:52 2015  estimated available RAM is 16040.3 MB
  21. Sat Mar 21 17:35:52 2015  commencing duplicate removal, pass 1
  22. Sat Mar 21 17:36:28 2015  error -15 reading relation 7994609
  23. Sat Mar 21 17:37:06 2015  error -15 reading relation 16839632
  24. Sat Mar 21 17:37:06 2015  error -9 reading relation 16839808
  25. Sat Mar 21 17:37:19 2015  error -15 reading relation 19802998
  26. Sat Mar 21 17:37:21 2015  error -15 reading relation 20305858
  27. Sat Mar 21 17:37:23 2015  error -9 reading relation 20744404
  28. Sat Mar 21 17:37:31 2015  error -9 reading relation 22664404
  29. Sat Mar 21 17:37:31 2015  error -9 reading relation 22668986
  30. Sat Mar 21 17:37:31 2015  error -9 reading relation 22672481
  31. Sat Mar 21 17:37:31 2015  error -15 reading relation 22672618
  32. Sat Mar 21 17:37:31 2015  error -1 reading relation 22719203
  33. Sat Mar 21 17:37:31 2015  error -1 reading relation 22719204
  34.  . . .  (deleted hundreds of mostly error -1 records)
  35. Sat Mar 21 17:52:00 2015  error -9 reading relation 220653739
  36. Sat Mar 21 17:52:21 2015  error -15 reading relation 225382266
  37. Sat Mar 21 17:52:21 2015  error -15 reading relation 225393273
  38. Sat Mar 21 17:52:21 2015  error -15 reading relation 225407461
  39. Sat Mar 21 17:52:22 2015  error -15 reading relation 225440380
  40. Sat Mar 21 17:52:23 2015  error -15 reading relation 225678310
  41. Sat Mar 21 17:52:25 2015  skipped 1265 relations with b > 2^32
  42. Sat Mar 21 17:52:25 2015  found 49399907 hash collisions in 226163805 relations
  43. Sat Mar 21 17:52:40 2015  added 1218178 free relations
  44. Sat Mar 21 17:52:40 2015  commencing duplicate removal, pass 2
  45. Sat Mar 21 17:56:37 2015  found 51250350 duplicates and 176131633 unique relations
  46. Sat Mar 21 17:56:37 2015  memory use: 1321.5 MB
  47. Sat Mar 21 17:56:37 2015  reading ideals above 177930240
  48. Sat Mar 21 17:56:37 2015  commencing singleton removal, initial pass
  49. Sat Mar 21 18:12:22 2015  memory use: 3012.0 MB
  50. Sat Mar 21 18:12:22 2015  reading all ideals from disk
  51. Sat Mar 21 18:12:47 2015  memory use: 3002.5 MB
  52. Sat Mar 21 18:12:52 2015  commencing in-memory singleton removal
  53. Sat Mar 21 18:12:57 2015  begin with 176131633 relations and 152150360 unique ideals
  54. Sat Mar 21 18:14:05 2015  reduce to 102643457 relations and 69983730 ideals in 16 passes
  55. Sat Mar 21 18:14:05 2015  max relations containing the same ideal: 32
  56. Sat Mar 21 18:14:09 2015  reading ideals above 720000
  57. Sat Mar 21 18:14:10 2015  commencing singleton removal, initial pass
  58. Sat Mar 21 18:26:26 2015  memory use: 2756.0 MB
  59. Sat Mar 21 18:26:26 2015  reading all ideals from disk
  60. Sat Mar 21 18:27:07 2015  memory use: 4072.0 MB
  61. Sat Mar 21 18:27:16 2015  keeping 89291900 ideals with weight <= 200, target excess is 529828
  62. Sat Mar 21 18:27:27 2015  commencing in-memory singleton removal
  63. Sat Mar 21 18:27:35 2015  begin with 102643457 relations and 89291900 unique ideals
  64. Sat Mar 21 18:29:03 2015  reduce to 102600034 relations and 89248443 ideals in 10 passes
  65. Sat Mar 21 18:29:03 2015  max relations containing the same ideal: 200
  66. Sat Mar 21 18:29:48 2015  removing 11935790 relations and 9935790 ideals in 2000000 cliques
  67. Sat Mar 21 18:29:51 2015  commencing in-memory singleton removal
  68. Sat Mar 21 18:29:59 2015  begin with 90664244 relations and 89248443 unique ideals
  69. Sat Mar 21 18:31:07 2015  reduce to 89663339 relations and 78287369 ideals in 9 passes
  70. Sat Mar 21 18:31:07 2015  max relations containing the same ideal: 193
  71. Sat Mar 21 18:31:46 2015  removing 9019461 relations and 7019461 ideals in 2000000 cliques
  72. Sat Mar 21 18:31:49 2015  commencing in-memory singleton removal
  73. Sat Mar 21 18:31:55 2015  begin with 80643878 relations and 78287369 unique ideals
  74. Sat Mar 21 18:32:56 2015  reduce to 79977774 relations and 70587244 ideals in 9 passes
  75. Sat Mar 21 18:32:56 2015  max relations containing the same ideal: 178
  76. Sat Mar 21 18:33:31 2015  removing 8117963 relations and 6117963 ideals in 2000000 cliques
  77. Sat Mar 21 18:33:34 2015  commencing in-memory singleton removal
  78. Sat Mar 21 18:33:39 2015  begin with 71859811 relations and 70587244 unique ideals
  79. Sat Mar 21 18:34:26 2015  reduce to 71263651 relations and 63859186 ideals in 8 passes
  80. Sat Mar 21 18:34:26 2015  max relations containing the same ideal: 167
  81. Sat Mar 21 18:34:56 2015  removing 7652423 relations and 5652423 ideals in 2000000 cliques
  82. Sat Mar 21 18:34:59 2015  commencing in-memory singleton removal
  83. Sat Mar 21 18:35:03 2015  begin with 63611228 relations and 63859186 unique ideals
  84. Sat Mar 21 18:35:39 2015  reduce to 63030866 relations and 57611820 ideals in 7 passes
  85. Sat Mar 21 18:35:39 2015  max relations containing the same ideal: 157
  86. Sat Mar 21 18:36:06 2015  removing 7361915 relations and 5361915 ideals in 2000000 cliques
  87. Sat Mar 21 18:36:08 2015  commencing in-memory singleton removal
  88. Sat Mar 21 18:36:12 2015  begin with 55668951 relations and 57611820 unique ideals
  89. Sat Mar 21 18:36:47 2015  reduce to 55070800 relations and 51635298 ideals in 8 passes
  90. Sat Mar 21 18:36:47 2015  max relations containing the same ideal: 139
  91. Sat Mar 21 18:37:11 2015  removing 7173331 relations and 5173331 ideals in 2000000 cliques
  92. Sat Mar 21 18:37:13 2015  commencing in-memory singleton removal
  93. Sat Mar 21 18:37:17 2015  begin with 47897469 relations and 51635298 unique ideals
  94. Sat Mar 21 18:37:54 2015  reduce to 47243189 relations and 45787514 ideals in 10 passes
  95. Sat Mar 21 18:37:54 2015  max relations containing the same ideal: 128
  96. Sat Mar 21 18:38:14 2015  removing 3549297 relations and 2708223 ideals in 841074 cliques
  97. Sat Mar 21 18:38:15 2015  commencing in-memory singleton removal
  98. Sat Mar 21 18:38:18 2015  begin with 43693892 relations and 45787514 unique ideals
  99. Sat Mar 21 18:38:42 2015  reduce to 43514478 relations and 42897100 ideals in 7 passes
  100. Sat Mar 21 18:38:42 2015  max relations containing the same ideal: 119
  101. Sat Mar 21 18:39:08 2015  relations with 0 large ideals: 20136
  102. Sat Mar 21 18:39:08 2015  relations with 1 large ideals: 4904
  103. Sat Mar 21 18:39:08 2015  relations with 2 large ideals: 66036
  104. Sat Mar 21 18:39:08 2015  relations with 3 large ideals: 528890
  105. Sat Mar 21 18:39:08 2015  relations with 4 large ideals: 2347524
  106. Sat Mar 21 18:39:08 2015  relations with 5 large ideals: 6269038
  107. Sat Mar 21 18:39:08 2015  relations with 6 large ideals: 10541305
  108. Sat Mar 21 18:39:08 2015  relations with 7+ large ideals: 23736645
  109. Sat Mar 21 18:39:08 2015  commencing 2-way merge
  110. Sat Mar 21 18:39:32 2015  reduce to 28869836 relation sets and 28252458 unique ideals
  111. Sat Mar 21 18:39:32 2015  commencing full merge
  112. Sat Mar 21 18:49:30 2015  memory use: 3704.3 MB
  113. Sat Mar 21 18:49:33 2015  found 12962032 cycles, need 12960658
  114. Sat Mar 21 18:49:36 2015  weight of 12960658 cycles is about 1555936689 (120.05/cycle)
  115. Sat Mar 21 18:49:36 2015  distribution of cycle lengths:
  116. Sat Mar 21 18:49:36 2015  1 relations: 550268
  117. Sat Mar 21 18:49:36 2015  2 relations: 795558
  118. Sat Mar 21 18:49:36 2015  3 relations: 937871
  119. Sat Mar 21 18:49:36 2015  4 relations: 968028
  120. Sat Mar 21 18:49:36 2015  5 relations: 987766
  121. Sat Mar 21 18:49:36 2015  6 relations: 960696
  122. Sat Mar 21 18:49:36 2015  7 relations: 934112
  123. Sat Mar 21 18:49:36 2015  8 relations: 881622
  124. Sat Mar 21 18:49:36 2015  9 relations: 828911
  125. Sat Mar 21 18:49:36 2015  10+ relations: 5115826
  126. Sat Mar 21 18:49:36 2015  heaviest cycle: 28 relations
  127. Sat Mar 21 18:49:39 2015  commencing cycle optimization
  128. Sat Mar 21 18:50:01 2015  start with 114631339 relations
  129. Sat Mar 21 18:53:58 2015  pruned 5180437 relations
  130. Sat Mar 21 18:53:59 2015  memory use: 2996.3 MB
  131. Sat Mar 21 18:53:59 2015  distribution of cycle lengths:
  132. Sat Mar 21 18:53:59 2015  1 relations: 550268
  133. Sat Mar 21 18:53:59 2015  2 relations: 816287
  134. Sat Mar 21 18:53:59 2015  3 relations: 979053
  135. Sat Mar 21 18:53:59 2015  4 relations: 1009311
  136. Sat Mar 21 18:53:59 2015  5 relations: 1036013
  137. Sat Mar 21 18:53:59 2015  6 relations: 1006800
  138. Sat Mar 21 18:53:59 2015  7 relations: 979633
  139. Sat Mar 21 18:53:59 2015  8 relations: 919546
  140. Sat Mar 21 18:53:59 2015  9 relations: 862400
  141. Sat Mar 21 18:53:59 2015  10+ relations: 4801347
  142. Sat Mar 21 18:53:59 2015  heaviest cycle: 28 relations
  143. Sat Mar 21 18:54:18 2015  RelProcTime: 4706
  144. Sat Mar 21 18:54:18 2015  
  145. Sat Mar 21 18:54:18 2015  commencing linear algebra
  146. Sat Mar 21 18:54:23 2015  read 12960658 cycles
  147. Sat Mar 21 18:54:49 2015  cycles contain 43153871 unique relations
  148. Sat Mar 21 18:59:26 2015  read 43153871 relations
  149. Sat Mar 21 19:00:35 2015  using 20 quadratic characters above 2147483478
  150. Sat Mar 21 19:03:18 2015  building initial matrix
  151. Sat Mar 21 19:12:24 2015  memory use: 5721.6 MB
  152. Sat Mar 21 19:12:29 2015  read 12960658 cycles
  153. Sat Mar 21 19:12:31 2015  matrix is 12960481 x 12960658 (6077.1 MB) with weight 1749051419 (134.95/col)
  154. Sat Mar 21 19:12:31 2015  sparse part has weight 1450507780 (111.92/col)
  155. Sat Mar 21 19:15:04 2015  filtering completed in 2 passes
  156. Sat Mar 21 19:15:07 2015  matrix is 12960429 x 12960606 (6077.1 MB) with weight 1749049843 (134.95/col)
  157. Sat Mar 21 19:15:07 2015  sparse part has weight 1450507392 (111.92/col)
  158. Sat Mar 21 19:16:30 2015  matrix starts at (0, 0)
  159. Sat Mar 21 19:16:32 2015  matrix is 12960429 x 12960606 (6077.1 MB) with weight 1749049843 (134.95/col)
  160. Sat Mar 21 19:16:32 2015  sparse part has weight 1450507392 (111.92/col)
  161. Sat Mar 21 19:16:32 2015  saving the first 48 matrix rows for later
  162. Sat Mar 21 19:16:34 2015  matrix includes 64 packed rows
  163. Sat Mar 21 19:16:35 2015  matrix is 12960381 x 12960606 (5825.6 MB) with weight 1496661695 (115.48/col)
  164. Sat Mar 21 19:16:35 2015  sparse part has weight 1397534226 (107.83/col)
  165. Sat Mar 21 19:16:36 2015  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  166. Sat Mar 21 19:17:31 2015  commencing Lanczos iteration (4 threads)
  167. Sat Mar 21 19:17:31 2015  memory use: 4957.0 MB
  168. Sat Mar 21 19:18:40 2015  linear algebra at 0.0%, ETA 156h43m
  169. Sat Mar 21 19:19:02 2015  checkpointing every 90000 dimensions
  170. Sat Mar 28 07:26:01 2015  lanczos halted after 204956 iterations (dim = 12960380)
  171. Sat Mar 28 07:26:13 2015  recovered 35 nontrivial dependencies
  172. Sat Mar 28 07:26:14 2015  BLanczosTime: 563516
  173. Sat Mar 28 07:26:14 2015  
  174. Sat Mar 28 07:26:14 2015  commencing square root phase
  175. Sat Mar 28 07:26:14 2015  handling dependencies 1 to 64
  176. Sat Mar 28 07:26:14 2015  reading relations for dependency 1
  177. Sat Mar 28 07:26:18 2015  read 6481283 cycles
  178. Sat Mar 28 07:26:30 2015  cycles contain 21576670 unique relations
  179. Sat Mar 28 07:30:32 2015  read 21576670 relations
  180. Sat Mar 28 07:31:59 2015  multiplying 21576670 relations
  181. Sat Mar 28 07:53:01 2015  multiply complete, coefficients have about 832.26 million bits
  182. Sat Mar 28 07:53:02 2015  initial square root is modulo 29283019
  183. Sat Mar 28 08:15:22 2015  GCD is N, no factor found
  184. Sat Mar 28 08:15:22 2015  reading relations for dependency 2
  185. Sat Mar 28 08:15:26 2015  read 6480177 cycles
  186. Sat Mar 28 08:15:38 2015  cycles contain 21578550 unique relations
  187. Sat Mar 28 08:19:33 2015  read 21578550 relations
  188. Sat Mar 28 08:21:01 2015  multiplying 21578550 relations
  189. Sat Mar 28 08:42:02 2015  multiply complete, coefficients have about 832.33 million bits
  190. Sat Mar 28 08:42:04 2015  initial square root is modulo 29325427
  191. Sat Mar 28 09:04:23 2015  GCD is N, no factor found
  192. Sat Mar 28 09:04:23 2015  reading relations for dependency 3
  193. Sat Mar 28 09:04:28 2015  read 6480243 cycles
  194. Sat Mar 28 09:04:40 2015  cycles contain 21576296 unique relations
  195. Sat Mar 28 09:08:35 2015  read 21576296 relations
  196. Sat Mar 28 09:10:02 2015  multiplying 21576296 relations
  197. Sat Mar 28 09:31:04 2015  multiply complete, coefficients have about 832.24 million bits
  198. Sat Mar 28 09:31:05 2015  initial square root is modulo 29271769
  199. Sat Mar 28 09:53:24 2015  GCD is N, no factor found
  200. Sat Mar 28 09:53:24 2015  reading relations for dependency 4
  201. Sat Mar 28 09:53:28 2015  read 6483503 cycles
  202. Sat Mar 28 09:53:40 2015  cycles contain 21585006 unique relations
  203. Sat Mar 28 09:57:35 2015  read 21585006 relations
  204. Sat Mar 28 09:59:03 2015  multiplying 21585006 relations
  205. Sat Mar 28 10:20:06 2015  multiply complete, coefficients have about 832.58 million bits
  206. Sat Mar 28 10:20:07 2015  initial square root is modulo 29479447
  207. Sat Mar 28 10:42:24 2015  GCD is 1, no factor found
  208. Sat Mar 28 10:42:24 2015  reading relations for dependency 5
  209. Sat Mar 28 10:42:28 2015  read 6484329 cycles
  210. Sat Mar 28 10:42:40 2015  cycles contain 21585980 unique relations
  211. Sat Mar 28 10:46:36 2015  read 21585980 relations
  212. Sat Mar 28 10:48:04 2015  multiplying 21585980 relations
  213. Sat Mar 28 11:09:07 2015  multiply complete, coefficients have about 832.61 million bits
  214. Sat Mar 28 11:09:09 2015  initial square root is modulo 29494723
  215. Sat Mar 28 11:31:25 2015  GCD is N, no factor found
  216. Sat Mar 28 11:31:25 2015  reading relations for dependency 6
  217. Sat Mar 28 11:31:30 2015  read 6478595 cycles
  218. Sat Mar 28 11:31:42 2015  cycles contain 21578468 unique relations
  219. Sat Mar 28 11:35:35 2015  read 21578468 relations
  220. Sat Mar 28 11:37:02 2015  multiplying 21578468 relations
  221. Sat Mar 28 11:58:03 2015  multiply complete, coefficients have about 832.33 million bits
  222. Sat Mar 28 11:58:05 2015  initial square root is modulo 29326303
  223. Sat Mar 28 12:20:23 2015  sqrtTime: 17649
  224. Sat Mar 28 12:20:23 2015  prp69 factor: 122554321726661088962736412249505203678391672694905773511539654349249
  225. Sat Mar 28 12:20:23 2015  prp178 factor: 7512165172421526465201120527582734732021281352863014563837692712374631591484081999716027198130882801896189305828766014571721923332510869125303582637446435427839812015286342828181
  226. Sat Mar 28 12:20:23 2015  elapsed time 162:44:34
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