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C160_P209_plus_1

vang0001 Nov 25th, 2015 148 Never
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  1. Wed Oct 28 14:59:21 2015  
  2. Wed Oct 28 14:59:21 2015  
  3. Wed Oct 28 14:59:21 2015  Msieve v. 1.52 (SVN 946)
  4. Wed Oct 28 14:59:21 2015  random seeds: fa598f08 b924049d
  5. Wed Oct 28 14:59:21 2015  factoring 2021390848835379314520403057964735050683035816809274117990853120530192798856578377234517462883318080693534210071816730798545661105890584423725692113685060273453 (160 digits)
  6. Wed Oct 28 14:59:22 2015  no P-1/P+1/ECM available, skipping
  7. Wed Oct 28 14:59:22 2015  commencing number field sieve (160-digit input)
  8. Wed Oct 28 14:59:22 2015  R0: -3651880514702326596076575114596
  9. Wed Oct 28 14:59:22 2015  R1: 682572253861399
  10. Wed Oct 28 14:59:22 2015  A0: -12798419777512061378394749357838262445
  11. Wed Oct 28 14:59:22 2015  A1: -5454351100290736545872317606238
  12. Wed Oct 28 14:59:22 2015  A2: 31702960650674378858875363
  13. Wed Oct 28 14:59:22 2015  A3: -3269618839361176398
  14. Wed Oct 28 14:59:22 2015  A4: -20814083769282
  15. Wed Oct 28 14:59:22 2015  A5: 3112200
  16. Wed Oct 28 14:59:22 2015  skew 1.00, size 1.610e-015, alpha -6.709, combined = 1.508e-014 rroots = 3
  17. Wed Oct 28 14:59:22 2015  
  18. Wed Oct 28 14:59:22 2015  commencing relation filtering
  19. Wed Oct 28 14:59:22 2015  setting target matrix density to 120.0
  20. Wed Oct 28 14:59:22 2015  estimated available RAM is 16331.2 MB
  21. Wed Oct 28 14:59:22 2015  commencing duplicate removal, pass 1
  22. <errors reading relations>
  23. Wed Oct 28 15:17:25 2015  found 18651148 hash collisions in 109139506 relations
  24. Wed Oct 28 15:18:12 2015  added 121939 free relations
  25. Wed Oct 28 15:18:12 2015  commencing duplicate removal, pass 2
  26. Wed Oct 28 15:19:07 2015  found 17358278 duplicates and 91903167 unique relations
  27. Wed Oct 28 15:19:07 2015  memory use: 660.8 MB
  28. Wed Oct 28 15:19:07 2015  reading ideals above 72941568
  29. Wed Oct 28 15:19:07 2015  commencing singleton removal, initial pass
  30. Wed Oct 28 15:35:38 2015  memory use: 1506.0 MB
  31. Wed Oct 28 15:35:38 2015  reading all ideals from disk
  32. Wed Oct 28 15:35:41 2015  memory use: 1629.9 MB
  33. Wed Oct 28 15:35:45 2015  commencing in-memory singleton removal
  34. Wed Oct 28 15:35:48 2015  begin with 91903167 relations and 76926756 unique ideals
  35. Wed Oct 28 15:36:22 2015  reduce to 55571299 relations and 36342614 ideals in 14 passes
  36. Wed Oct 28 15:36:22 2015  max relations containing the same ideal: 30
  37. Wed Oct 28 15:36:26 2015  reading ideals above 720000
  38. Wed Oct 28 15:36:26 2015  commencing singleton removal, initial pass
  39. Wed Oct 28 15:48:21 2015  memory use: 1378.0 MB
  40. Wed Oct 28 15:48:22 2015  reading all ideals from disk
  41. Wed Oct 28 15:48:26 2015  memory use: 2067.1 MB
  42. Wed Oct 28 15:48:31 2015  keeping 44607928 ideals with weight <= 200, target excess is 296967
  43. Wed Oct 28 15:48:37 2015  commencing in-memory singleton removal
  44. Wed Oct 28 15:48:42 2015  begin with 55571299 relations and 44607928 unique ideals
  45. Wed Oct 28 15:49:28 2015  reduce to 55568575 relations and 44605204 ideals in 10 passes
  46. Wed Oct 28 15:49:28 2015  max relations containing the same ideal: 200
  47. Wed Oct 28 15:49:56 2015  removing 8490384 relations and 6490384 ideals in 2000000 cliques
  48. Wed Oct 28 15:49:58 2015  commencing in-memory singleton removal
  49. Wed Oct 28 15:50:02 2015  begin with 47078191 relations and 44605204 unique ideals
  50. Wed Oct 28 15:50:34 2015  reduce to 46234610 relations and 37233665 ideals in 8 passes
  51. Wed Oct 28 15:50:34 2015  max relations containing the same ideal: 187
  52. Wed Oct 28 15:50:58 2015  removing 6544061 relations and 4544061 ideals in 2000000 cliques
  53. Wed Oct 28 15:51:00 2015  commencing in-memory singleton removal
  54. Wed Oct 28 15:51:03 2015  begin with 39690549 relations and 37233665 unique ideals
  55. Wed Oct 28 15:51:27 2015  reduce to 39146402 relations and 32122444 ideals in 7 passes
  56. Wed Oct 28 15:51:27 2015  max relations containing the same ideal: 173
  57. Wed Oct 28 15:51:48 2015  removing 5920527 relations and 3920527 ideals in 2000000 cliques
  58. Wed Oct 28 15:51:49 2015  commencing in-memory singleton removal
  59. Wed Oct 28 15:51:52 2015  begin with 33225875 relations and 32122444 unique ideals
  60. Wed Oct 28 15:52:11 2015  reduce to 32756757 relations and 27711372 ideals in 7 passes
  61. Wed Oct 28 15:52:11 2015  max relations containing the same ideal: 152
  62. Wed Oct 28 15:52:29 2015  removing 5551037 relations and 3551037 ideals in 2000000 cliques
  63. Wed Oct 28 15:52:30 2015  commencing in-memory singleton removal
  64. Wed Oct 28 15:52:32 2015  begin with 27205720 relations and 27711372 unique ideals
  65. Wed Oct 28 15:52:48 2015  reduce to 26744706 relations and 23675478 ideals in 7 passes
  66. Wed Oct 28 15:52:48 2015  max relations containing the same ideal: 131
  67. Wed Oct 28 15:53:02 2015  removing 5312012 relations and 3312012 ideals in 2000000 cliques
  68. Wed Oct 28 15:53:03 2015  commencing in-memory singleton removal
  69. Wed Oct 28 15:53:05 2015  begin with 21432694 relations and 23675478 unique ideals
  70. Wed Oct 28 15:53:17 2015  reduce to 20904742 relations and 19803081 ideals in 7 passes
  71. Wed Oct 28 15:53:17 2015  max relations containing the same ideal: 111
  72. Wed Oct 28 15:53:28 2015  removing 2326186 relations and 1569007 ideals in 757179 cliques
  73. Wed Oct 28 15:53:28 2015  commencing in-memory singleton removal
  74. Wed Oct 28 15:53:30 2015  begin with 18578556 relations and 19803081 unique ideals
  75. Wed Oct 28 15:53:40 2015  reduce to 18406065 relations and 18056073 ideals in 7 passes
  76. Wed Oct 28 15:53:40 2015  max relations containing the same ideal: 100
  77. Wed Oct 28 15:53:52 2015  relations with 0 large ideals: 787
  78. Wed Oct 28 15:53:52 2015  relations with 1 large ideals: 2799
  79. Wed Oct 28 15:53:52 2015  relations with 2 large ideals: 39972
  80. Wed Oct 28 15:53:52 2015  relations with 3 large ideals: 316656
  81. Wed Oct 28 15:53:52 2015  relations with 4 large ideals: 1324720
  82. Wed Oct 28 15:53:52 2015  relations with 5 large ideals: 3233169
  83. Wed Oct 28 15:53:52 2015  relations with 6 large ideals: 4915739
  84. Wed Oct 28 15:53:52 2015  relations with 7+ large ideals: 8572223
  85. Wed Oct 28 15:53:52 2015  commencing 2-way merge
  86. Wed Oct 28 15:54:04 2015  reduce to 13172639 relation sets and 12822647 unique ideals
  87. Wed Oct 28 15:54:04 2015  commencing full merge
  88. Wed Oct 28 15:59:53 2015  memory use: 1561.6 MB
  89. Wed Oct 28 15:59:55 2015  found 5827425 cycles, need 5796847
  90. Wed Oct 28 15:59:55 2015  weight of 5796847 cycles is about 696006365 (120.07/cycle)
  91. Wed Oct 28 15:59:55 2015  distribution of cycle lengths:
  92. Wed Oct 28 15:59:55 2015  1 relations: 68160
  93. Wed Oct 28 15:59:55 2015  2 relations: 271320
  94. Wed Oct 28 15:59:55 2015  3 relations: 380498
  95. Wed Oct 28 15:59:55 2015  4 relations: 439820
  96. Wed Oct 28 15:59:55 2015  5 relations: 489996
  97. Wed Oct 28 15:59:55 2015  6 relations: 501958
  98. Wed Oct 28 15:59:55 2015  7 relations: 498158
  99. Wed Oct 28 15:59:55 2015  8 relations: 475664
  100. Wed Oct 28 15:59:55 2015  9 relations: 439106
  101. Wed Oct 28 15:59:55 2015  10+ relations: 2232167
  102. Wed Oct 28 15:59:55 2015  heaviest cycle: 28 relations
  103. Wed Oct 28 15:59:57 2015  commencing cycle optimization
  104. Wed Oct 28 16:00:09 2015  start with 50879722 relations
  105. Wed Oct 28 16:02:44 2015  pruned 2857707 relations
  106. Wed Oct 28 16:02:44 2015  memory use: 1296.8 MB
  107. Wed Oct 28 16:02:44 2015  distribution of cycle lengths:
  108. Wed Oct 28 16:02:44 2015  1 relations: 68160
  109. Wed Oct 28 16:02:44 2015  2 relations: 280584
  110. Wed Oct 28 16:02:44 2015  3 relations: 400046
  111. Wed Oct 28 16:02:44 2015  4 relations: 466344
  112. Wed Oct 28 16:02:44 2015  5 relations: 524668
  113. Wed Oct 28 16:02:44 2015  6 relations: 536483
  114. Wed Oct 28 16:02:44 2015  7 relations: 535264
  115. Wed Oct 28 16:02:44 2015  8 relations: 505594
  116. Wed Oct 28 16:02:44 2015  9 relations: 463265
  117. Wed Oct 28 16:02:44 2015  10+ relations: 2016439
  118. Wed Oct 28 16:02:44 2015  heaviest cycle: 27 relations
  119. Wed Oct 28 16:02:55 2015  RelProcTime: 3813
  120. Wed Oct 28 16:02:55 2015  
  121. Wed Oct 28 16:02:55 2015  commencing linear algebra
  122. Wed Oct 28 16:02:56 2015  read 5796847 cycles
  123. Wed Oct 28 16:03:09 2015  cycles contain 18231428 unique relations
  124. Wed Oct 28 16:06:23 2015  read 18231428 relations
  125. Wed Oct 28 16:07:00 2015  using 20 quadratic characters above 1073739912
  126. Wed Oct 28 16:08:17 2015  building initial matrix
  127. Wed Oct 28 16:13:27 2015  memory use: 2545.7 MB
  128. Wed Oct 28 16:13:31 2015  read 5796847 cycles
  129. Wed Oct 28 16:13:33 2015  matrix is 5796670 x 5796847 (2695.3 MB) with weight 820628018 (141.56/col)
  130. Wed Oct 28 16:13:33 2015  sparse part has weight 636992836 (109.89/col)
  131. Wed Oct 28 16:14:56 2015  filtering completed in 2 passes
  132. Wed Oct 28 16:14:58 2015  matrix is 5796640 x 5796817 (2695.3 MB) with weight 820626383 (141.56/col)
  133. Wed Oct 28 16:14:58 2015  sparse part has weight 636992156 (109.89/col)
  134. Wed Oct 28 16:15:15 2015  matrix starts at (0, 0)
  135. Wed Oct 28 16:15:17 2015  matrix is 5796640 x 5796817 (2695.3 MB) with weight 820626383 (141.56/col)
  136. Wed Oct 28 16:15:17 2015  sparse part has weight 636992156 (109.89/col)
  137. Wed Oct 28 16:15:17 2015  saving the first 48 matrix rows for later
  138. Wed Oct 28 16:15:19 2015  matrix includes 64 packed rows
  139. Wed Oct 28 16:15:20 2015  matrix is 5796592 x 5796817 (2608.9 MB) with weight 698630622 (120.52/col)
  140. Wed Oct 28 16:15:20 2015  sparse part has weight 625952164 (107.98/col)
  141. Wed Oct 28 16:15:20 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  142. Wed Oct 28 16:15:53 2015  commencing Lanczos iteration (4 threads)
  143. Wed Oct 28 16:15:53 2015  memory use: 2160.9 MB
  144. Wed Oct 28 16:16:15 2015  linear algebra at 0.0%, ETA 22h17m
  145. Wed Oct 28 16:16:22 2015  checkpointing every 260000 dimensions
  146. Thu Oct 29 12:45:08 2015  lanczos halted after 91668 iterations (dim = 5796592)
  147. Thu Oct 29 12:45:15 2015  recovered 31 nontrivial dependencies
  148. Thu Oct 29 12:45:18 2015  BLanczosTime: 74543
  149. Thu Oct 29 12:45:18 2015  
  150. Thu Oct 29 12:45:18 2015  commencing square root phase
  151. Thu Oct 29 12:45:18 2015  handling dependencies 1 to 64
  152. Thu Oct 29 12:45:18 2015  reading relations for dependency 1
  153. Thu Oct 29 12:45:19 2015  read 2899972 cycles
  154. Thu Oct 29 12:45:25 2015  cycles contain 9116298 unique relations
  155. Thu Oct 29 12:47:09 2015  read 9116298 relations
  156. Thu Oct 29 12:48:07 2015  multiplying 9116298 relations
  157. Thu Oct 29 13:00:17 2015  multiply complete, coefficients have about 525.82 million bits
  158. Thu Oct 29 13:00:24 2015  initial square root is modulo 2721834943
  159. Thu Oct 29 13:16:29 2015  GCD is N, no factor found
  160. Thu Oct 29 13:16:29 2015  reading relations for dependency 2
  161. Thu Oct 29 13:16:30 2015  read 2899061 cycles
  162. Thu Oct 29 13:16:36 2015  cycles contain 9115540 unique relations
  163. Thu Oct 29 13:18:21 2015  read 9115540 relations
  164. Thu Oct 29 13:19:19 2015  multiplying 9115540 relations
  165. Thu Oct 29 13:31:32 2015  multiply complete, coefficients have about 525.78 million bits
  166. Thu Oct 29 13:31:38 2015  initial square root is modulo 2716810631
  167. Thu Oct 29 13:47:44 2015  GCD is 1, no factor found
  168. Thu Oct 29 13:47:44 2015  reading relations for dependency 3
  169. Thu Oct 29 13:47:45 2015  read 2898868 cycles
  170. Thu Oct 29 13:47:51 2015  cycles contain 9116186 unique relations
  171. Thu Oct 29 13:49:37 2015  read 9116186 relations
  172. Thu Oct 29 13:50:34 2015  multiplying 9116186 relations
  173. Thu Oct 29 14:02:49 2015  multiply complete, coefficients have about 525.82 million bits
  174. Thu Oct 29 14:02:56 2015  initial square root is modulo 2722348039
  175. Thu Oct 29 14:19:08 2015  sqrtTime: 5630
  176. Thu Oct 29 14:19:08 2015  prp63 factor: 778981190696888316701956128200783276982990091152493265435235503
  177. Thu Oct 29 14:19:08 2015  prp97 factor: 2594916119896313013338730444777500015213561088292589645232697235375841523941640125753638344487651
  178. Thu Oct 29 14:19:08 2015  elapsed time 23:19:47
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