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GW_12_220

CarlosPinho Jun 4th, 2016 32 Never
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  1. Sat Mar 22 23:02:30 2014  Msieve v. 1.52 (SVN Unversioned directory)
  2. Sat Mar 22 23:02:30 2014  random seeds: 1e045523 3bc59b64
  3. Sat Mar 22 23:02:30 2014  factoring 2035585920461979822372539381925470576104631616831302068269445116942685146831991034668575347563587853284014309784506304761277218343737339214987889683341606138729965123315376705340811384526822358953145560995621315583701129537291 (226 digits)
  4. Sat Mar 22 23:02:31 2014  searching for 15-digit factors
  5. Sat Mar 22 23:02:32 2014  commencing number field sieve (226-digit input)
  6. Sat Mar 22 23:02:32 2014  R0: -8505622499821102144576131684114829934592
  7. Sat Mar 22 23:02:32 2014  R1: 1
  8. Sat Mar 22 23:02:32 2014  A0: -36
  9. Sat Mar 22 23:02:32 2014  A1: 0
  10. Sat Mar 22 23:02:32 2014  A2: 0
  11. Sat Mar 22 23:02:32 2014  A3: 0
  12. Sat Mar 22 23:02:32 2014  A4: 0
  13. Sat Mar 22 23:02:32 2014  A5: 0
  14. Sat Mar 22 23:02:32 2014  A6: 55
  15. Sat Mar 22 23:02:32 2014  skew 1.00, size 7.428e-12, alpha -0.901, combined = 5.119e-13 rroots = 2
  16. Sat Mar 22 23:02:32 2014  
  17. Sat Mar 22 23:02:32 2014  commencing relation filtering
  18. Sat Mar 22 23:02:32 2014  setting target matrix density to 116.0
  19. Sat Mar 22 23:02:32 2014  estimated available RAM is 16040.7 MB
  20. Sat Mar 22 23:02:32 2014  commencing duplicate removal, pass 1
  21. Sat Mar 22 23:10:15 2014  skipped 10 relations with b > 2^32
  22. Sat Mar 22 23:10:15 2014  found 3974396 hash collisions in 95063826 relations
  23. Sat Mar 22 23:10:30 2014  added 1219225 free relations
  24. Sat Mar 22 23:10:30 2014  commencing duplicate removal, pass 2
  25. Sat Mar 22 23:11:51 2014  found 0 duplicates and 96283051 unique relations
  26. Sat Mar 22 23:11:51 2014  memory use: 261.2 MB
  27. Sat Mar 22 23:11:51 2014  reading ideals above 75956224
  28. Sat Mar 22 23:11:51 2014  commencing singleton removal, initial pass
  29. Sat Mar 22 23:21:09 2014  memory use: 2756.0 MB
  30. Sat Mar 22 23:21:09 2014  reading all ideals from disk
  31. Sat Mar 22 23:21:22 2014  memory use: 1836.0 MB
  32. Sat Mar 22 23:21:26 2014  commencing in-memory singleton removal
  33. Sat Mar 22 23:21:29 2014  begin with 96283051 relations and 82739042 unique ideals
  34. Sat Mar 22 23:22:02 2014  reduce to 61353036 relations and 44170805 ideals in 13 passes
  35. Sat Mar 22 23:22:02 2014  max relations containing the same ideal: 35
  36. Sat Mar 22 23:22:05 2014  reading ideals above 720000
  37. Sat Mar 22 23:22:05 2014  commencing singleton removal, initial pass
  38. Sat Mar 22 23:29:45 2014  memory use: 1378.0 MB
  39. Sat Mar 22 23:29:45 2014  reading all ideals from disk
  40. Sat Mar 22 23:30:08 2014  memory use: 2354.3 MB
  41. Sat Mar 22 23:30:15 2014  keeping 52743405 ideals with weight <= 200, target excess is 317878
  42. Sat Mar 22 23:30:20 2014  commencing in-memory singleton removal
  43. Sat Mar 22 23:30:23 2014  begin with 61353038 relations and 52743405 unique ideals
  44. Sat Mar 22 23:30:52 2014  reduce to 61352570 relations and 52742935 ideals in 7 passes
  45. Sat Mar 22 23:30:52 2014  max relations containing the same ideal: 200
  46. Sat Mar 22 23:31:12 2014  removing 5677339 relations and 4677339 ideals in 1000000 cliques
  47. Sat Mar 22 23:31:14 2014  commencing in-memory singleton removal
  48. Sat Mar 22 23:31:17 2014  begin with 55675231 relations and 52742935 unique ideals
  49. Sat Mar 22 23:31:47 2014  reduce to 55265568 relations and 47647568 ideals in 8 passes
  50. Sat Mar 22 23:31:47 2014  max relations containing the same ideal: 196
  51. Sat Mar 22 23:32:06 2014  removing 4374474 relations and 3374474 ideals in 1000000 cliques
  52. Sat Mar 22 23:32:07 2014  commencing in-memory singleton removal
  53. Sat Mar 22 23:32:11 2014  begin with 50891094 relations and 47647568 unique ideals
  54. Sat Mar 22 23:32:40 2014  reduce to 50624213 relations and 44001491 ideals in 8 passes
  55. Sat Mar 22 23:32:40 2014  max relations containing the same ideal: 188
  56. Sat Mar 22 23:32:58 2014  removing 3977725 relations and 2977725 ideals in 1000000 cliques
  57. Sat Mar 22 23:33:00 2014  commencing in-memory singleton removal
  58. Sat Mar 22 23:33:02 2014  begin with 46646488 relations and 44001491 unique ideals
  59. Sat Mar 22 23:33:24 2014  reduce to 46411952 relations and 40784808 ideals in 7 passes
  60. Sat Mar 22 23:33:24 2014  max relations containing the same ideal: 175
  61. Sat Mar 22 23:33:40 2014  removing 3761561 relations and 2761561 ideals in 1000000 cliques
  62. Sat Mar 22 23:33:41 2014  commencing in-memory singleton removal
  63. Sat Mar 22 23:33:44 2014  begin with 42650391 relations and 40784808 unique ideals
  64. Sat Mar 22 23:34:04 2014  reduce to 42427348 relations and 37795821 ideals in 7 passes
  65. Sat Mar 22 23:34:04 2014  max relations containing the same ideal: 165
  66. Sat Mar 22 23:34:18 2014  removing 3628517 relations and 2628517 ideals in 1000000 cliques
  67. Sat Mar 22 23:34:19 2014  commencing in-memory singleton removal
  68. Sat Mar 22 23:34:21 2014  begin with 38798831 relations and 37795821 unique ideals
  69. Sat Mar 22 23:34:39 2014  reduce to 38576869 relations and 34940626 ideals in 7 passes
  70. Sat Mar 22 23:34:39 2014  max relations containing the same ideal: 156
  71. Sat Mar 22 23:34:53 2014  removing 3533343 relations and 2533343 ideals in 1000000 cliques
  72. Sat Mar 22 23:34:54 2014  commencing in-memory singleton removal
  73. Sat Mar 22 23:34:57 2014  begin with 35043526 relations and 34940626 unique ideals
  74. Sat Mar 22 23:35:14 2014  reduce to 34816892 relations and 32175583 ideals in 7 passes
  75. Sat Mar 22 23:35:14 2014  max relations containing the same ideal: 147
  76. Sat Mar 22 23:35:28 2014  removing 3468854 relations and 2468854 ideals in 1000000 cliques
  77. Sat Mar 22 23:35:29 2014  commencing in-memory singleton removal
  78. Sat Mar 22 23:35:31 2014  begin with 31348038 relations and 32175583 unique ideals
  79. Sat Mar 22 23:35:45 2014  reduce to 31109311 relations and 29462226 ideals in 7 passes
  80. Sat Mar 22 23:35:45 2014  max relations containing the same ideal: 135
  81. Sat Mar 22 23:35:56 2014  removing 3431103 relations and 2431103 ideals in 1000000 cliques
  82. Sat Mar 22 23:35:57 2014  commencing in-memory singleton removal
  83. Sat Mar 22 23:35:59 2014  begin with 27678208 relations and 29462226 unique ideals
  84. Sat Mar 22 23:36:11 2014  reduce to 27413954 relations and 26759804 ideals in 7 passes
  85. Sat Mar 22 23:36:11 2014  max relations containing the same ideal: 122
  86. Sat Mar 22 23:36:21 2014  removing 1238170 relations and 952759 ideals in 285411 cliques
  87. Sat Mar 22 23:36:22 2014  commencing in-memory singleton removal
  88. Sat Mar 22 23:36:23 2014  begin with 26175784 relations and 26759804 unique ideals
  89. Sat Mar 22 23:36:33 2014  reduce to 26139088 relations and 25770017 ideals in 6 passes
  90. Sat Mar 22 23:36:33 2014  max relations containing the same ideal: 118
  91. Sat Mar 22 23:36:46 2014  relations with 0 large ideals: 12066
  92. Sat Mar 22 23:36:46 2014  relations with 1 large ideals: 2105
  93. Sat Mar 22 23:36:46 2014  relations with 2 large ideals: 28756
  94. Sat Mar 22 23:36:46 2014  relations with 3 large ideals: 244497
  95. Sat Mar 22 23:36:46 2014  relations with 4 large ideals: 1166231
  96. Sat Mar 22 23:36:46 2014  relations with 5 large ideals: 3332362
  97. Sat Mar 22 23:36:46 2014  relations with 6 large ideals: 6017626
  98. Sat Mar 22 23:36:46 2014  relations with 7+ large ideals: 15335445
  99. Sat Mar 22 23:36:46 2014  commencing 2-way merge
  100. Sat Mar 22 23:36:58 2014  reduce to 17834919 relation sets and 17465848 unique ideals
  101. Sat Mar 22 23:36:58 2014  commencing full merge
  102. Sat Mar 22 23:43:00 2014  memory use: 2337.1 MB
  103. Sat Mar 22 23:43:02 2014  found 8064029 cycles, need 8054048
  104. Sat Mar 22 23:43:05 2014  weight of 8054048 cycles is about 934486149 (116.03/cycle)
  105. Sat Mar 22 23:43:05 2014  distribution of cycle lengths:
  106. Sat Mar 22 23:43:05 2014  1 relations: 303283
  107. Sat Mar 22 23:43:05 2014  2 relations: 490355
  108. Sat Mar 22 23:43:05 2014  3 relations: 591691
  109. Sat Mar 22 23:43:05 2014  4 relations: 610922
  110. Sat Mar 22 23:43:05 2014  5 relations: 624366
  111. Sat Mar 22 23:43:05 2014  6 relations: 609797
  112. Sat Mar 22 23:43:05 2014  7 relations: 593152
  113. Sat Mar 22 23:43:05 2014  8 relations: 561014
  114. Sat Mar 22 23:43:05 2014  9 relations: 524159
  115. Sat Mar 22 23:43:05 2014  10+ relations: 3145309
  116. Sat Mar 22 23:43:05 2014  heaviest cycle: 28 relations
  117. Sat Mar 22 23:43:07 2014  commencing cycle optimization
  118. Sat Mar 22 23:43:21 2014  start with 70624092 relations
  119. Sat Mar 22 23:45:41 2014  pruned 3359755 relations
  120. Sat Mar 22 23:45:42 2014  memory use: 1823.4 MB
  121. Sat Mar 22 23:45:42 2014  distribution of cycle lengths:
  122. Sat Mar 22 23:45:42 2014  1 relations: 303283
  123. Sat Mar 22 23:45:42 2014  2 relations: 503308
  124. Sat Mar 22 23:45:42 2014  3 relations: 618457
  125. Sat Mar 22 23:45:42 2014  4 relations: 638493
  126. Sat Mar 22 23:45:42 2014  5 relations: 656722
  127. Sat Mar 22 23:45:42 2014  6 relations: 640105
  128. Sat Mar 22 23:45:42 2014  7 relations: 624193
  129. Sat Mar 22 23:45:42 2014  8 relations: 586475
  130. Sat Mar 22 23:45:42 2014  9 relations: 547340
  131. Sat Mar 22 23:45:42 2014  10+ relations: 2935672
  132. Sat Mar 22 23:45:42 2014  heaviest cycle: 28 relations
  133. Sat Mar 22 23:45:57 2014  RelProcTime: 2605
  134. Sat Mar 22 23:45:57 2014  
  135. Sat Mar 22 23:45:57 2014  commencing linear algebra
  136. Sat Mar 22 23:45:58 2014  read 8054048 cycles
  137. Sat Mar 22 23:46:11 2014  cycles contain 25958317 unique relations
  138. Sat Mar 22 23:48:33 2014  read 25958317 relations
  139. Sat Mar 22 23:49:08 2014  using 20 quadratic characters above 1073741174
  140. Sat Mar 22 23:50:44 2014  building initial matrix
  141. Sat Mar 22 23:55:53 2014  memory use: 3419.4 MB
  142. Sat Mar 22 23:56:28 2014  read 8054048 cycles
  143. Sat Mar 22 23:56:29 2014  matrix is 8053877 x 8054048 (3658.4 MB) with weight 1079858019 (134.08/col)
  144. Sat Mar 22 23:56:29 2014  sparse part has weight 870444423 (108.08/col)
  145. Sat Mar 22 23:57:46 2014  filtering completed in 2 passes
  146. Sat Mar 22 23:57:48 2014  matrix is 8053827 x 8054003 (3658.4 MB) with weight 1079856222 (134.08/col)
  147. Sat Mar 22 23:57:48 2014  sparse part has weight 870443918 (108.08/col)
  148. Sat Mar 22 23:58:49 2014  matrix starts at (0, 0)
  149. Sat Mar 22 23:58:50 2014  matrix is 8053827 x 8054003 (3658.4 MB) with weight 1079856222 (134.08/col)
  150. Sat Mar 22 23:58:50 2014  sparse part has weight 870443918 (108.08/col)
  151. Sat Mar 22 23:58:50 2014  saving the first 48 matrix rows for later
  152. Sat Mar 22 23:58:52 2014  matrix includes 64 packed rows
  153. Sat Mar 22 23:58:53 2014  matrix is 8053779 x 8054003 (3539.9 MB) with weight 922978440 (114.60/col)
  154. Sat Mar 22 23:58:53 2014  sparse part has weight 847423393 (105.22/col)
  155. Sat Mar 22 23:58:53 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  156. Sat Mar 22 23:59:24 2014  commencing Lanczos iteration (3 threads)
  157. Sat Mar 22 23:59:24 2014  memory use: 2988.3 MB
  158. Sun Mar 23 00:00:09 2014  linear algebra at 0.0%, ETA 63h31m
  159. Sun Mar 23 00:00:22 2014  checkpointing every 130000 dimensions
  160. Tue Mar 25 05:24:18 2014  lanczos halted after 127358 iterations (dim = 8053777)
  161. Tue Mar 25 05:24:30 2014  recovered 40 nontrivial dependencies
  162. Tue Mar 25 05:24:30 2014  BLanczosTime: 193113
  163. Tue Mar 25 05:24:30 2014  
  164. Tue Mar 25 05:24:30 2014  commencing square root phase
  165. Tue Mar 25 05:24:30 2014  handling dependencies 1 to 64
  166. Tue Mar 25 05:24:30 2014  reading relations for dependency 1
  167. Tue Mar 25 05:24:32 2014  read 4028827 cycles
  168. Tue Mar 25 05:24:38 2014  cycles contain 12982928 unique relations
  169. Tue Mar 25 05:26:12 2014  read 12982928 relations
  170. Tue Mar 25 05:26:58 2014  multiplying 12982928 relations
  171. Tue Mar 25 05:36:15 2014  multiply complete, coefficients have about 395.79 million bits
  172. Tue Mar 25 05:36:16 2014  initial square root is modulo 12640351
  173. Tue Mar 25 05:46:22 2014  GCD is N, no factor found
  174. Tue Mar 25 05:46:22 2014  reading relations for dependency 2
  175. Tue Mar 25 05:46:24 2014  read 4028104 cycles
  176. Tue Mar 25 05:46:30 2014  cycles contain 12979682 unique relations
  177. Tue Mar 25 05:48:00 2014  read 12979682 relations
  178. Tue Mar 25 05:48:46 2014  multiplying 12979682 relations
  179. Tue Mar 25 05:58:04 2014  multiply complete, coefficients have about 395.69 million bits
  180. Tue Mar 25 05:58:05 2014  initial square root is modulo 12590779
  181. Tue Mar 25 06:08:11 2014  sqrtTime: 2621
  182. Tue Mar 25 06:08:11 2014  prp96 factor: 773230913565360050939838843652228176446517279002966255024356847094350274854135462248477398594853
  183. Tue Mar 25 06:08:11 2014  prp130 factor: 2632571829126584439795604606143889674364174058332315570845632880917359249538367600102552019189203185714167364509596530876104846447
  184. Tue Mar 25 06:08:11 2014  elapsed time 55:05:41
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