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C211_122_75

CarlosPinho Jun 5th, 2016 41 Never
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  1. Tue May 24 00:31:50 2016  Msieve v. 1.53 (SVN unknown)
  2. Tue May 24 00:31:50 2016  random seeds: 47cf9fc8 f9129a0e
  3. Tue May 24 00:31:50 2016  factoring 1232647813093771814744632539756355826298317313089391599956023119387467610394089929989936958789691812523012207132844122405424199214834627932490438230907566556113143234377696814073197554854079589659983350773297249 (211 digits)
  4. Tue May 24 00:31:51 2016  searching for 15-digit factors
  5. Tue May 24 00:31:53 2016  commencing number field sieve (211-digit input)
  6. Tue May 24 00:31:53 2016  R0: 19742286955644203951779312467968
  7. Tue May 24 00:31:53 2016  R1: -5016956387766668967742589302361011505126953125
  8. Tue May 24 00:31:53 2016  A0: 9
  9. Tue May 24 00:31:53 2016  A1: 0
  10. Tue May 24 00:31:53 2016  A2: 0
  11. Tue May 24 00:31:53 2016  A3: 0
  12. Tue May 24 00:31:53 2016  A4: 0
  13. Tue May 24 00:31:53 2016  A5: 5
  14. Tue May 24 00:31:53 2016  skew 1.12, size 1.030e-15, alpha 0.705, combined = 1.012e-12 rroots = 1
  15. Tue May 24 00:31:53 2016  
  16. Tue May 24 00:31:53 2016  commencing relation filtering
  17. Tue May 24 00:31:53 2016  setting target matrix density to 124.0
  18. Tue May 24 00:31:53 2016  estimated available RAM is 16031.0 MB
  19. Tue May 24 00:31:53 2016  commencing duplicate removal, pass 1
  20. Tue May 24 00:37:21 2016  error -15 reading relation 44573428
  21. Tue May 24 00:37:37 2016  error -9 reading relation 46458399
  22. Tue May 24 00:37:42 2016  error -9 reading relation 46986289
  23. Tue May 24 00:37:43 2016  error -15 reading relation 47117512
  24. Tue May 24 00:37:44 2016  error -15 reading relation 47166306
  25. Tue May 24 00:37:48 2016  error -9 reading relation 47580289
  26. Tue May 24 00:37:48 2016  error -9 reading relation 47671405
  27. Tue May 24 00:38:45 2016  error -5 reading relation 54538063
  28. Tue May 24 00:38:50 2016  error -9 reading relation 55125132
  29. Tue May 24 00:42:15 2016  error -9 reading relation 83513388
  30. Tue May 24 00:42:35 2016  error -5 reading relation 85672068
  31. Tue May 24 00:45:04 2016  error -5 reading relation 106629218
  32. Tue May 24 00:45:19 2016  error -9 reading relation 108456552
  33. Tue May 24 00:45:19 2016  error -9 reading relation 108470503
  34. Tue May 24 00:45:19 2016  error -9 reading relation 108496262
  35. Tue May 24 00:45:19 2016  error -9 reading relation 108518513
  36. Tue May 24 00:45:20 2016  error -1 reading relation 108553882
  37. Tue May 24 00:45:20 2016  error -9 reading relation 108644191
  38. Tue May 24 00:45:46 2016  error -9 reading relation 111760480
  39. Tue May 24 00:45:53 2016  error -9 reading relation 112535859
  40. Tue May 24 00:45:53 2016  error -9 reading relation 112605069
  41. Tue May 24 00:46:03 2016  error -15 reading relation 113974358
  42. Tue May 24 00:46:11 2016  error -1 reading relation 114913419
  43. Tue May 24 00:46:16 2016  error -9 reading relation 115497355
  44. Tue May 24 00:46:28 2016  error -5 reading relation 116940330
  45. Tue May 24 00:46:28 2016  error -1 reading relation 116945755
  46. Tue May 24 00:46:28 2016  error -9 reading relation 116971151
  47. Tue May 24 00:46:30 2016  skipped 44 relations with b > 2^32
  48. Tue May 24 00:46:30 2016  skipped 5 relations with composite factors
  49. Tue May 24 00:46:30 2016  found 20153065 hash collisions in 117154712 relations
  50. Tue May 24 00:46:57 2016  added 731993 free relations
  51. Tue May 24 00:46:57 2016  commencing duplicate removal, pass 2
  52. Tue May 24 00:48:00 2016  found 18535597 duplicates and 99351108 unique relations
  53. Tue May 24 00:48:00 2016  memory use: 660.8 MB
  54. Tue May 24 00:48:00 2016  reading ideals above 83951616
  55. Tue May 24 00:48:00 2016  commencing singleton removal, initial pass
  56. Tue May 24 00:56:36 2016  memory use: 1506.0 MB
  57. Tue May 24 00:56:36 2016  reading all ideals from disk
  58. Tue May 24 00:56:45 2016  memory use: 1654.6 MB
  59. Tue May 24 00:56:48 2016  commencing in-memory singleton removal
  60. Tue May 24 00:56:50 2016  begin with 99351108 relations and 81173180 unique ideals
  61. Tue May 24 00:57:23 2016  reduce to 64577082 relations and 42864634 ideals in 15 passes
  62. Tue May 24 00:57:23 2016  max relations containing the same ideal: 39
  63. Tue May 24 00:57:25 2016  reading ideals above 720000
  64. Tue May 24 00:57:25 2016  commencing singleton removal, initial pass
  65. Tue May 24 01:04:27 2016  memory use: 1378.0 MB
  66. Tue May 24 01:04:27 2016  reading all ideals from disk
  67. Tue May 24 01:05:00 2016  memory use: 2426.8 MB
  68. Tue May 24 01:05:06 2016  keeping 52298074 ideals with weight <= 200, target excess is 338570
  69. Tue May 24 01:05:11 2016  commencing in-memory singleton removal
  70. Tue May 24 01:05:16 2016  begin with 64577083 relations and 52298074 unique ideals
  71. Tue May 24 01:05:51 2016  reduce to 64563115 relations and 52284104 ideals in 8 passes
  72. Tue May 24 01:05:51 2016  max relations containing the same ideal: 200
  73. Tue May 24 01:06:16 2016  removing 8858007 relations and 6858007 ideals in 2000000 cliques
  74. Tue May 24 01:06:18 2016  commencing in-memory singleton removal
  75. Tue May 24 01:06:23 2016  begin with 55705108 relations and 52284104 unique ideals
  76. Tue May 24 01:06:58 2016  reduce to 54753185 relations and 44438232 ideals in 9 passes
  77. Tue May 24 01:06:58 2016  max relations containing the same ideal: 188
  78. Tue May 24 01:07:19 2016  removing 7020879 relations and 5020879 ideals in 2000000 cliques
  79. Tue May 24 01:07:21 2016  commencing in-memory singleton removal
  80. Tue May 24 01:07:25 2016  begin with 47732306 relations and 44438232 unique ideals
  81. Tue May 24 01:07:51 2016  reduce to 47045109 relations and 38705760 ideals in 8 passes
  82. Tue May 24 01:07:51 2016  max relations containing the same ideal: 170
  83. Tue May 24 01:08:09 2016  removing 6516953 relations and 4516953 ideals in 2000000 cliques
  84. Tue May 24 01:08:11 2016  commencing in-memory singleton removal
  85. Tue May 24 01:08:14 2016  begin with 40528156 relations and 38705760 unique ideals
  86. Tue May 24 01:08:36 2016  reduce to 39877916 relations and 33513226 ideals in 8 passes
  87. Tue May 24 01:08:36 2016  max relations containing the same ideal: 154
  88. Tue May 24 01:08:52 2016  removing 6277785 relations and 4277785 ideals in 2000000 cliques
  89. Tue May 24 01:08:54 2016  commencing in-memory singleton removal
  90. Tue May 24 01:08:56 2016  begin with 33600131 relations and 33513226 unique ideals
  91. Tue May 24 01:09:11 2016  reduce to 32927671 relations and 28533141 ideals in 7 passes
  92. Tue May 24 01:09:11 2016  max relations containing the same ideal: 136
  93. Tue May 24 01:09:24 2016  removing 6138211 relations and 4138211 ideals in 2000000 cliques
  94. Tue May 24 01:09:26 2016  commencing in-memory singleton removal
  95. Tue May 24 01:09:27 2016  begin with 26789460 relations and 28533141 unique ideals
  96. Tue May 24 01:09:42 2016  reduce to 26043946 relations and 23609932 ideals in 9 passes
  97. Tue May 24 01:09:42 2016  max relations containing the same ideal: 118
  98. Tue May 24 01:09:52 2016  removing 6043168 relations and 4043168 ideals in 2000000 cliques
  99. Tue May 24 01:09:54 2016  commencing in-memory singleton removal
  100. Tue May 24 01:09:55 2016  begin with 20000778 relations and 23609932 unique ideals
  101. Tue May 24 01:10:06 2016  reduce to 19107074 relations and 18613333 ideals in 9 passes
  102. Tue May 24 01:10:06 2016  max relations containing the same ideal: 92
  103. Tue May 24 01:10:13 2016  removing 561062 relations and 460063 ideals in 100999 cliques
  104. Tue May 24 01:10:14 2016  commencing in-memory singleton removal
  105. Tue May 24 01:10:15 2016  begin with 18546012 relations and 18613333 unique ideals
  106. Tue May 24 01:10:21 2016  reduce to 18535064 relations and 18142268 ideals in 6 passes
  107. Tue May 24 01:10:21 2016  max relations containing the same ideal: 90
  108. Tue May 24 01:10:24 2016  relations with 0 large ideals: 6688
  109. Tue May 24 01:10:24 2016  relations with 1 large ideals: 2560
  110. Tue May 24 01:10:24 2016  relations with 2 large ideals: 42574
  111. Tue May 24 01:10:24 2016  relations with 3 large ideals: 326537
  112. Tue May 24 01:10:24 2016  relations with 4 large ideals: 1338880
  113. Tue May 24 01:10:24 2016  relations with 5 large ideals: 3243844
  114. Tue May 24 01:10:24 2016  relations with 6 large ideals: 5048666
  115. Tue May 24 01:10:24 2016  relations with 7+ large ideals: 8525315
  116. Tue May 24 01:10:24 2016  commencing 2-way merge
  117. Tue May 24 01:10:32 2016  reduce to 12190214 relation sets and 11797418 unique ideals
  118. Tue May 24 01:10:32 2016  commencing full merge
  119. Tue May 24 01:14:17 2016  memory use: 1594.0 MB
  120. Tue May 24 01:14:18 2016  found 5476691 cycles, need 5473618
  121. Tue May 24 01:14:20 2016  weight of 5473618 cycles is about 679415197 (124.13/cycle)
  122. Tue May 24 01:14:20 2016  distribution of cycle lengths:
  123. Tue May 24 01:14:20 2016  1 relations: 161391
  124. Tue May 24 01:14:20 2016  2 relations: 301410
  125. Tue May 24 01:14:20 2016  3 relations: 371735
  126. Tue May 24 01:14:20 2016  4 relations: 395780
  127. Tue May 24 01:14:20 2016  5 relations: 411164
  128. Tue May 24 01:14:20 2016  6 relations: 408600
  129. Tue May 24 01:14:20 2016  7 relations: 400088
  130. Tue May 24 01:14:20 2016  8 relations: 383240
  131. Tue May 24 01:14:20 2016  9 relations: 359311
  132. Tue May 24 01:14:20 2016  10+ relations: 2280899
  133. Tue May 24 01:14:20 2016  heaviest cycle: 28 relations
  134. Tue May 24 01:14:21 2016  commencing cycle optimization
  135. Tue May 24 01:14:30 2016  start with 50494284 relations
  136. Tue May 24 01:16:01 2016  pruned 2508280 relations
  137. Tue May 24 01:16:01 2016  memory use: 1292.9 MB
  138. Tue May 24 01:16:01 2016  distribution of cycle lengths:
  139. Tue May 24 01:16:01 2016  1 relations: 161391
  140. Tue May 24 01:16:01 2016  2 relations: 309644
  141. Tue May 24 01:16:01 2016  3 relations: 388994
  142. Tue May 24 01:16:01 2016  4 relations: 413889
  143. Tue May 24 01:16:01 2016  5 relations: 433830
  144. Tue May 24 01:16:01 2016  6 relations: 430872
  145. Tue May 24 01:16:01 2016  7 relations: 423155
  146. Tue May 24 01:16:01 2016  8 relations: 402961
  147. Tue May 24 01:16:01 2016  9 relations: 376483
  148. Tue May 24 01:16:01 2016  10+ relations: 2132399
  149. Tue May 24 01:16:01 2016  heaviest cycle: 28 relations
  150. Tue May 24 01:16:09 2016  RelProcTime: 2656
  151. Tue May 24 01:16:09 2016  
  152. Tue May 24 01:16:09 2016  commencing linear algebra
  153. Tue May 24 01:16:11 2016  read 5473618 cycles
  154. Tue May 24 01:16:21 2016  cycles contain 18329140 unique relations
  155. Tue May 24 01:18:35 2016  read 18329140 relations
  156. Tue May 24 01:18:54 2016  using 20 quadratic characters above 4294917295
  157. Tue May 24 01:20:00 2016  building initial matrix
  158. Tue May 24 01:22:57 2016  memory use: 2398.8 MB
  159. Tue May 24 01:22:59 2016  read 5473618 cycles
  160. Tue May 24 01:23:00 2016  matrix is 5473441 x 5473618 (2631.2 MB) with weight 760444771 (138.93/col)
  161. Tue May 24 01:23:00 2016  sparse part has weight 629543962 (115.01/col)
  162. Tue May 24 01:23:53 2016  filtering completed in 2 passes
  163. Tue May 24 01:23:54 2016  matrix is 5473416 x 5473593 (2631.2 MB) with weight 760443751 (138.93/col)
  164. Tue May 24 01:23:54 2016  sparse part has weight 629543576 (115.01/col)
  165. Tue May 24 01:24:14 2016  matrix starts at (0, 0)
  166. Tue May 24 01:24:15 2016  matrix is 5473416 x 5473593 (2631.2 MB) with weight 760443751 (138.93/col)
  167. Tue May 24 01:24:15 2016  sparse part has weight 629543576 (115.01/col)
  168. Tue May 24 01:24:15 2016  saving the first 48 matrix rows for later
  169. Tue May 24 01:24:16 2016  matrix includes 64 packed rows
  170. Tue May 24 01:24:17 2016  matrix is 5473368 x 5473593 (2521.1 MB) with weight 651991899 (119.12/col)
  171. Tue May 24 01:24:17 2016  sparse part has weight 606152591 (110.74/col)
  172. Tue May 24 01:24:17 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  173. Tue May 24 01:24:35 2016  commencing Lanczos iteration (4 threads)
  174. Tue May 24 01:24:35 2016  memory use: 2120.8 MB
  175. Tue May 24 01:24:55 2016  linear algebra at 0.0%, ETA 18h59m
  176. Tue May 24 01:25:02 2016  checkpointing every 290000 dimensions
  177. Tue May 24 18:24:52 2016  lanczos halted after 86557 iterations (dim = 5473368)
  178. Tue May 24 18:24:59 2016  recovered 37 nontrivial dependencies
  179. Tue May 24 18:24:59 2016  BLanczosTime: 61730
  180. Tue May 24 18:24:59 2016  
  181. Tue May 24 18:24:59 2016  commencing square root phase
  182. Tue May 24 18:24:59 2016  handling dependencies 1 to 64
  183. Tue May 24 18:24:59 2016  reading relations for dependency 1
  184. Tue May 24 18:24:59 2016  read 2734249 cycles
  185. Tue May 24 18:25:03 2016  cycles contain 9159672 unique relations
  186. Tue May 24 18:27:33 2016  read 9159672 relations
  187. Tue May 24 18:28:07 2016  multiplying 9159672 relations
  188. Tue May 24 18:31:55 2016  multiply complete, coefficients have about 249.28 million bits
  189. Tue May 24 18:31:55 2016  initial square root is modulo 883258841
  190. Tue May 24 18:36:32 2016  GCD is 1, no factor found
  191. Tue May 24 18:36:32 2016  reading relations for dependency 2
  192. Tue May 24 18:36:33 2016  read 2736168 cycles
  193. Tue May 24 18:36:39 2016  cycles contain 9163408 unique relations
  194. Tue May 24 18:39:19 2016  read 9163408 relations
  195. Tue May 24 18:39:54 2016  multiplying 9163408 relations
  196. Tue May 24 18:43:38 2016  multiply complete, coefficients have about 249.38 million bits
  197. Tue May 24 18:43:39 2016  initial square root is modulo 890571631
  198. Tue May 24 18:48:20 2016  sqrtTime: 1401
  199. Tue May 24 18:48:20 2016  p96 factor: 757862905188596193133000318025808066619581064809891981867791047876517292420315829860762584726641
  200. Tue May 24 18:48:20 2016  p115 factor: 1626478621205274770076134644324051136814117233527695142219961375807324992843382785982043115306332627529595437378289
  201. Tue May 24 18:48:20 2016  elapsed time 18:16:30
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