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GC_4_369

CarlosPinho Jun 3rd, 2016 32 Never
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  1. Tue Nov  5 17:47:19 2013  Msieve v. 1.52 (SVN Unversioned directory)
  2. Tue Nov  5 17:47:19 2013  random seeds: 278d03f8 9cfa591f
  3. Tue Nov  5 17:47:19 2013  factoring 1283755600771151305106738185839568289650622546007061144349666464727021605429810875345903868028732489542858203560444688846939068504494438304932616857588480467014024027737 (169 digits)
  4. Tue Nov  5 17:47:19 2013  searching for 15-digit factors
  5. Tue Nov  5 17:47:21 2013  commencing number field sieve (169-digit input)
  6. Tue Nov  5 17:47:21 2013  R0: -10633823966279326983230456482242756608
  7. Tue Nov  5 17:47:21 2013  R1: 1
  8. Tue Nov  5 17:47:21 2013  A0: 1
  9. Tue Nov  5 17:47:21 2013  A1: 0
  10. Tue Nov  5 17:47:21 2013  A2: 0
  11. Tue Nov  5 17:47:21 2013  A3: 0
  12. Tue Nov  5 17:47:21 2013  A4: 0
  13. Tue Nov  5 17:47:21 2013  A5: 0
  14. Tue Nov  5 17:47:21 2013  A6: 369
  15. Tue Nov  5 17:47:21 2013  skew 1.00, size 3.651e-11, alpha 0.238, combined = 1.609e-12 rroots = 0
  16. Tue Nov  5 17:47:21 2013  
  17. Tue Nov  5 17:47:21 2013  commencing relation filtering
  18. Tue Nov  5 17:47:21 2013  estimated available RAM is 16040.7 MB
  19. Tue Nov  5 17:47:21 2013  commencing duplicate removal, pass 1
  20. Tue Nov  5 17:48:20 2013  error -9 reading relation 11407800
  21. Tue Nov  5 17:48:27 2013  error -9 reading relation 12758820
  22. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758821
  23. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758822
  24. Tue Nov  5 17:48:27 2013  error -6 reading relation 12758823
  25. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758824
  26. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758825
  27. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758826
  28. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758827
  29. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758828
  30. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758829
  31. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758830
  32. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758831
  33. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758832
  34. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758833
  35. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758834
  36. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758835
  37. Tue Nov  5 17:48:27 2013  error -5 reading relation 12758836
  38. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758837
  39. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758838
  40. Tue Nov  5 17:48:27 2013  error -6 reading relation 12758839
  41. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758840
  42. Tue Nov  5 17:48:27 2013  error -1 reading relation 12758841
  43. [ . . . about 2.7M error (mostly -1 & -11) records removed . . . ]
  44. Tue Nov  5 17:57:51 2013  error -11 reading relation 106405690
  45. Tue Nov  5 17:57:52 2013  error -1 reading relation 106692897
  46. Tue Nov  5 17:57:54 2013  error -9 reading relation 106970660
  47. Tue Nov  5 17:57:55 2013  error -9 reading relation 107314040
  48. Tue Nov  5 17:57:55 2013  error -1 reading relation 107315938
  49. Tue Nov  5 17:57:59 2013  error -15 reading relation 107949283
  50. Tue Nov  5 17:57:59 2013  error -15 reading relation 107979606
  51. Tue Nov  5 17:58:06 2013  error -9 reading relation 109504127
  52. Tue Nov  5 17:58:07 2013  error -9 reading relation 109579413
  53. Tue Nov  5 17:58:07 2013  error -15 reading relation 109688812
  54. Tue Nov  5 17:58:07 2013  error -15 reading relation 109728456
  55. Tue Nov  5 17:58:08 2013  error -5 reading relation 109882197
  56. Tue Nov  5 17:58:11 2013  error -9 reading relation 110584689
  57. Tue Nov  5 17:58:11 2013  error -9 reading relation 110651304
  58. Tue Nov  5 17:58:13 2013  error -9 reading relation 110938326
  59. Tue Nov  5 17:58:14 2013  error -15 reading relation 111185095
  60. Tue Nov  5 17:59:01 2013  skipped 5669 relations with b > 2^32
  61. Tue Nov  5 17:59:01 2013  found 19119860 hash collisions in 118802161 relations
  62. Tue Nov  5 17:59:16 2013  added 1218786 free relations
  63. Tue Nov  5 17:59:16 2013  commencing duplicate removal, pass 2
  64. Tue Nov  5 18:00:56 2013  found 16895614 duplicates and 103125333 unique relations
  65. Tue Nov  5 18:00:56 2013  memory use: 660.8 MB
  66. Tue Nov  5 18:00:56 2013  reading ideals above 71892992
  67. Tue Nov  5 18:00:56 2013  commencing singleton removal, initial pass
  68. Tue Nov  5 18:11:26 2013  memory use: 2756.0 MB
  69. Tue Nov  5 18:11:26 2013  reading all ideals from disk
  70. Tue Nov  5 18:11:38 2013  memory use: 1758.6 MB
  71. Tue Nov  5 18:11:43 2013  commencing in-memory singleton removal
  72. Tue Nov  5 18:11:46 2013  begin with 103125333 relations and 82945124 unique ideals
  73. Tue Nov  5 18:12:17 2013  reduce to 69377072 relations and 45926920 ideals in 12 passes
  74. Tue Nov  5 18:12:17 2013  max relations containing the same ideal: 48
  75. Tue Nov  5 18:12:20 2013  reading ideals above 720000
  76. Tue Nov  5 18:12:20 2013  commencing singleton removal, initial pass
  77. Tue Nov  5 18:21:23 2013  memory use: 1506.0 MB
  78. Tue Nov  5 18:21:23 2013  reading all ideals from disk
  79. Tue Nov  5 18:21:41 2013  memory use: 2585.8 MB
  80. Tue Nov  5 18:21:47 2013  keeping 54013111 ideals with weight <= 200, target excess is 355438
  81. Tue Nov  5 18:21:53 2013  commencing in-memory singleton removal
  82. Tue Nov  5 18:21:58 2013  begin with 69377073 relations and 54013111 unique ideals
  83. Tue Nov  5 18:22:38 2013  reduce to 69376430 relations and 54012468 ideals in 9 passes
  84. Tue Nov  5 18:22:38 2013  max relations containing the same ideal: 200
  85. Tue Nov  5 18:23:03 2013  removing 8438113 relations and 6438113 ideals in 2000000 cliques
  86. Tue Nov  5 18:23:06 2013  commencing in-memory singleton removal
  87. Tue Nov  5 18:23:09 2013  begin with 60938317 relations and 54012468 unique ideals
  88. Tue Nov  5 18:23:41 2013  reduce to 60110661 relations and 46717267 ideals in 8 passes
  89. Tue Nov  5 18:23:41 2013  max relations containing the same ideal: 190
  90. Tue Nov  5 18:24:02 2013  removing 6748633 relations and 4748633 ideals in 2000000 cliques
  91. Tue Nov  5 18:24:04 2013  commencing in-memory singleton removal
  92. Tue Nov  5 18:24:08 2013  begin with 53362028 relations and 46717267 unique ideals
  93. Tue Nov  5 18:24:32 2013  reduce to 52779723 relations and 41367076 ideals in 7 passes
  94. Tue Nov  5 18:24:32 2013  max relations containing the same ideal: 176
  95. Tue Nov  5 18:24:51 2013  removing 6265911 relations and 4265911 ideals in 2000000 cliques
  96. Tue Nov  5 18:24:53 2013  commencing in-memory singleton removal
  97. Tue Nov  5 18:24:55 2013  begin with 46513812 relations and 41367076 unique ideals
  98. Tue Nov  5 18:25:19 2013  reduce to 45980179 relations and 36548863 ideals in 8 passes
  99. Tue Nov  5 18:25:19 2013  max relations containing the same ideal: 163
  100. Tue Nov  5 18:25:36 2013  removing 6030313 relations and 4030313 ideals in 2000000 cliques
  101. Tue Nov  5 18:25:38 2013  commencing in-memory singleton removal
  102. Tue Nov  5 18:25:40 2013  begin with 39949866 relations and 36548863 unique ideals
  103. Tue Nov  5 18:26:01 2013  reduce to 39417830 relations and 31965977 ideals in 8 passes
  104. Tue Nov  5 18:26:01 2013  max relations containing the same ideal: 151
  105. Tue Nov  5 18:26:15 2013  removing 5883195 relations and 3883195 ideals in 2000000 cliques
  106. Tue Nov  5 18:26:17 2013  commencing in-memory singleton removal
  107. Tue Nov  5 18:26:19 2013  begin with 33534635 relations and 31965977 unique ideals
  108. Tue Nov  5 18:26:37 2013  reduce to 32974435 relations and 27497665 ideals in 9 passes
  109. Tue Nov  5 18:26:37 2013  max relations containing the same ideal: 133
  110. Tue Nov  5 18:26:49 2013  removing 5785367 relations and 3785367 ideals in 2000000 cliques
  111. Tue Nov  5 18:26:51 2013  commencing in-memory singleton removal
  112. Tue Nov  5 18:26:52 2013  begin with 27189068 relations and 27497665 unique ideals
  113. Tue Nov  5 18:27:04 2013  reduce to 26575467 relations and 23066558 ideals in 7 passes
  114. Tue Nov  5 18:27:04 2013  max relations containing the same ideal: 114
  115. Tue Nov  5 18:27:14 2013  removing 5702504 relations and 3702504 ideals in 2000000 cliques
  116. Tue Nov  5 18:27:15 2013  commencing in-memory singleton removal
  117. Tue Nov  5 18:27:16 2013  begin with 20872963 relations and 23066558 unique ideals
  118. Tue Nov  5 18:27:25 2013  reduce to 20167237 relations and 18612354 ideals in 7 passes
  119. Tue Nov  5 18:27:25 2013  max relations containing the same ideal: 92
  120. Tue Nov  5 18:27:33 2013  removing 3550202 relations and 2407628 ideals in 1142574 cliques
  121. Tue Nov  5 18:27:34 2013  commencing in-memory singleton removal
  122. Tue Nov  5 18:27:35 2013  begin with 16617035 relations and 18612354 unique ideals
  123. Tue Nov  5 18:27:43 2013  reduce to 16217430 relations and 15784833 ideals in 8 passes
  124. Tue Nov  5 18:27:43 2013  max relations containing the same ideal: 81
  125. Tue Nov  5 18:27:49 2013  removing 122114 relations and 101826 ideals in 20288 cliques
  126. Tue Nov  5 18:27:50 2013  commencing in-memory singleton removal
  127. Tue Nov  5 18:27:51 2013  begin with 16095316 relations and 15784833 unique ideals
  128. Tue Nov  5 18:27:55 2013  reduce to 16094616 relations and 15682307 ideals in 4 passes
  129. Tue Nov  5 18:27:55 2013  max relations containing the same ideal: 81
  130. Tue Nov  5 18:27:57 2013  relations with 0 large ideals: 13097
  131. Tue Nov  5 18:27:57 2013  relations with 1 large ideals: 4950
  132. Tue Nov  5 18:27:57 2013  relations with 2 large ideals: 55536
  133. Tue Nov  5 18:27:57 2013  relations with 3 large ideals: 385760
  134. Tue Nov  5 18:27:57 2013  relations with 4 large ideals: 1443172
  135. Tue Nov  5 18:27:57 2013  relations with 5 large ideals: 3174308
  136. Tue Nov  5 18:27:57 2013  relations with 6 large ideals: 4313735
  137. Tue Nov  5 18:27:57 2013  relations with 7+ large ideals: 6704058
  138. Tue Nov  5 18:27:57 2013  commencing 2-way merge
  139. Tue Nov  5 18:28:05 2013  reduce to 10854150 relation sets and 10441841 unique ideals
  140. Tue Nov  5 18:28:05 2013  commencing full merge
  141. Tue Nov  5 18:30:13 2013  memory use: 1322.7 MB
  142. Tue Nov  5 18:30:14 2013  found 5868534 cycles, need 5812041
  143. Tue Nov  5 18:30:15 2013  weight of 5812041 cycles is about 407214298 (70.06/cycle)
  144. Tue Nov  5 18:30:15 2013  distribution of cycle lengths:
  145. Tue Nov  5 18:30:15 2013  1 relations: 527463
  146. Tue Nov  5 18:30:15 2013  2 relations: 672052
  147. Tue Nov  5 18:30:15 2013  3 relations: 732993
  148. Tue Nov  5 18:30:15 2013  4 relations: 719252
  149. Tue Nov  5 18:30:15 2013  5 relations: 680914
  150. Tue Nov  5 18:30:15 2013  6 relations: 598520
  151. Tue Nov  5 18:30:15 2013  7 relations: 501564
  152. Tue Nov  5 18:30:15 2013  8 relations: 398546
  153. Tue Nov  5 18:30:15 2013  9 relations: 302889
  154. Tue Nov  5 18:30:15 2013  10+ relations: 677848
  155. Tue Nov  5 18:30:15 2013  heaviest cycle: 19 relations
  156. Tue Nov  5 18:30:17 2013  commencing cycle optimization
  157. Tue Nov  5 18:30:24 2013  start with 31272390 relations
  158. Tue Nov  5 18:30:58 2013  pruned 928528 relations
  159. Tue Nov  5 18:30:58 2013  memory use: 995.0 MB
  160. Tue Nov  5 18:30:58 2013  distribution of cycle lengths:
  161. Tue Nov  5 18:30:58 2013  1 relations: 527463
  162. Tue Nov  5 18:30:58 2013  2 relations: 686421
  163. Tue Nov  5 18:30:58 2013  3 relations: 761995
  164. Tue Nov  5 18:30:58 2013  4 relations: 743682
  165. Tue Nov  5 18:30:58 2013  5 relations: 705746
  166. Tue Nov  5 18:30:58 2013  6 relations: 613472
  167. Tue Nov  5 18:30:58 2013  7 relations: 509040
  168. Tue Nov  5 18:30:58 2013  8 relations: 394181
  169. Tue Nov  5 18:30:58 2013  9 relations: 292548
  170. Tue Nov  5 18:30:58 2013  10+ relations: 577493
  171. Tue Nov  5 18:30:58 2013  heaviest cycle: 19 relations
  172. Tue Nov  5 18:31:06 2013  RelProcTime: 2625
  173. Tue Nov  5 18:31:06 2013  
  174. Tue Nov  5 18:31:06 2013  commencing linear algebra
  175. Tue Nov  5 18:31:08 2013  read 5812041 cycles
  176. Tue Nov  5 18:31:15 2013  cycles contain 15886548 unique relations
  177. Tue Nov  5 18:33:10 2013  read 15886548 relations
  178. Tue Nov  5 18:33:25 2013  using 20 quadratic characters above 1073741468
  179. Tue Nov  5 18:34:25 2013  building initial matrix
  180. Tue Nov  5 18:36:45 2013  memory use: 2111.0 MB
  181. Tue Nov  5 18:36:46 2013  read 5812041 cycles
  182. Tue Nov  5 18:36:47 2013  matrix is 5811863 x 5812041 (1738.4 MB) with weight 517706501 (89.07/col)
  183. Tue Nov  5 18:36:47 2013  sparse part has weight 391790056 (67.41/col)
  184. Tue Nov  5 18:37:23 2013  filtering completed in 2 passes
  185. Tue Nov  5 18:37:24 2013  matrix is 5811087 x 5811264 (1738.4 MB) with weight 517683723 (89.08/col)
  186. Tue Nov  5 18:37:24 2013  sparse part has weight 391783569 (67.42/col)
  187. Tue Nov  5 18:37:44 2013  matrix starts at (0, 0)
  188. Tue Nov  5 18:37:44 2013  matrix is 5811087 x 5811264 (1738.4 MB) with weight 517683723 (89.08/col)
  189. Tue Nov  5 18:37:44 2013  sparse part has weight 391783569 (67.42/col)
  190. Tue Nov  5 18:37:44 2013  saving the first 48 matrix rows for later
  191. Tue Nov  5 18:37:45 2013  matrix includes 64 packed rows
  192. Tue Nov  5 18:37:45 2013  matrix is 5811039 x 5811264 (1666.5 MB) with weight 413298278 (71.12/col)
  193. Tue Nov  5 18:37:45 2013  sparse part has weight 378747197 (65.17/col)
  194. Tue Nov  5 18:37:45 2013  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  195. Tue Nov  5 18:38:00 2013  commencing Lanczos iteration (4 threads)
  196. Tue Nov  5 18:38:00 2013  memory use: 1370.6 MB
  197. Tue Nov  5 18:38:37 2013  linear algebra at 0.0%, ETA 37h18m
  198. Tue Nov  5 18:38:48 2013  checkpointing every 160000 dimensions
  199. Wed Nov  6 11:28:49 2013  lanczos halted after 91898 iterations (dim = 5811037)
  200. Wed Nov  6 11:28:55 2013  recovered 38 nontrivial dependencies
  201. Wed Nov  6 11:28:55 2013  BLanczosTime: 61069
  202. Wed Nov  6 11:28:55 2013  
  203. Wed Nov  6 11:28:55 2013  commencing square root phase
  204. Wed Nov  6 11:28:55 2013  handling dependencies 1 to 64
  205. Wed Nov  6 11:28:55 2013  reading relations for dependency 1
  206. Wed Nov  6 11:28:56 2013  read 2906453 cycles
  207. Wed Nov  6 11:28:59 2013  cycles contain 7946232 unique relations
  208. Wed Nov  6 11:30:37 2013  read 7946232 relations
  209. Wed Nov  6 11:31:02 2013  multiplying 7946232 relations
  210. Wed Nov  6 11:36:06 2013  multiply complete, coefficients have about 256.06 million bits
  211. Wed Nov  6 11:36:07 2013  initial square root is modulo 1546067827
  212. Wed Nov  6 11:41:57 2013  GCD is N, no factor found
  213. Wed Nov  6 11:41:57 2013  reading relations for dependency 2
  214. Wed Nov  6 11:41:58 2013  read 2906272 cycles
  215. Wed Nov  6 11:42:01 2013  cycles contain 7945750 unique relations
  216. Wed Nov  6 11:43:38 2013  read 7945750 relations
  217. Wed Nov  6 11:44:03 2013  multiplying 7945750 relations
  218. Wed Nov  6 11:49:07 2013  multiply complete, coefficients have about 256.05 million bits
  219. Wed Nov  6 11:49:08 2013  initial square root is modulo 1544207659
  220. Wed Nov  6 11:54:58 2013  sqrtTime: 1563
  221. Wed Nov  6 11:54:58 2013  prp51 factor: 833216020977010133611098079725963902150797467457397
  222. Wed Nov  6 11:54:58 2013  prp118 factor: 1540723616026788250128258003100454105963168284173198740572019759032558763687534559921149354430092646605553304218219221
  223. Wed Nov  6 11:54:58 2013  elapsed time 18:07:39
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