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C185_131_51

CarlosPinho Jun 5th, 2016 27 Never
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  1. Thu May 19 20:26:10 2016  Msieve v. 1.53 (SVN Unversioned directory)
  2. Thu May 19 20:26:10 2016  random seeds: 204e11f9 1894d222
  3. Thu May 19 20:26:10 2016  factoring 19805080341680190535123073687155529270967663819953817336131868397817134652700372611055556232575378918848787374674058671291534171071744263615652449813612473413965967674996859421538414137 (185 digits)
  4. Thu May 19 20:26:12 2016  searching for 15-digit factors
  5. Thu May 19 20:26:14 2016  commencing number field sieve (185-digit input)
  6. Thu May 19 20:26:14 2016  R0: 249358730666939096153411411739203931263313801
  7. Thu May 19 20:26:14 2016  R1: -1488377021731616101801
  8. Thu May 19 20:26:14 2016  A0: 131
  9. Thu May 19 20:26:14 2016  A1: 0
  10. Thu May 19 20:26:14 2016  A2: 0
  11. Thu May 19 20:26:14 2016  A3: 0
  12. Thu May 19 20:26:14 2016  A4: 0
  13. Thu May 19 20:26:14 2016  A5: 51
  14. Thu May 19 20:26:14 2016  skew 1.21, size 1.804e-15, alpha -0.323, combined = 1.533e-12 rroots = 1
  15. Thu May 19 20:26:14 2016  
  16. Thu May 19 20:26:14 2016  commencing relation filtering
  17. Thu May 19 20:26:14 2016  setting target matrix density to 120.0
  18. Thu May 19 20:26:14 2016  estimated available RAM is 16039.4 MB
  19. Thu May 19 20:26:14 2016  commencing duplicate removal, pass 1
  20. Thu May 19 20:30:10 2016  error -9 reading relation 19163913
  21. Thu May 19 20:37:51 2016  error -9 reading relation 45101647
  22. Thu May 19 20:44:30 2016  error -15 reading relation 71415264
  23. Thu May 19 20:46:49 2016  error -15 reading relation 88158921
  24. Thu May 19 20:46:49 2016  error -9 reading relation 88166177
  25. Thu May 19 20:46:49 2016  error -5 reading relation 88167179
  26. Thu May 19 20:47:33 2016  error -9 reading relation 93344992
  27. Thu May 19 20:47:40 2016  error -9 reading relation 94128464
  28. Thu May 19 20:48:56 2016  error -9 reading relation 103222756
  29. Thu May 19 20:49:19 2016  error -1 reading relation 106076090
  30. Thu May 19 20:49:45 2016  skipped 23 relations with b > 2^32
  31. Thu May 19 20:49:45 2016  skipped 9 relations with composite factors
  32. Thu May 19 20:49:45 2016  found 16203936 hash collisions in 109052052 relations
  33. Thu May 19 20:50:19 2016  added 731379 free relations
  34. Thu May 19 20:50:19 2016  commencing duplicate removal, pass 2
  35. Thu May 19 20:50:57 2016  found 14010340 duplicates and 95773091 unique relations
  36. Thu May 19 20:50:57 2016  memory use: 426.4 MB
  37. Thu May 19 20:50:57 2016  reading ideals above 64028672
  38. Thu May 19 20:50:57 2016  commencing singleton removal, initial pass
  39. Thu May 19 21:01:44 2016  memory use: 1506.0 MB
  40. Thu May 19 21:01:44 2016  reading all ideals from disk
  41. Thu May 19 21:01:51 2016  memory use: 1655.8 MB
  42. Thu May 19 21:01:55 2016  commencing in-memory singleton removal
  43. Thu May 19 21:01:59 2016  begin with 95773091 relations and 81840856 unique ideals
  44. Thu May 19 21:02:43 2016  reduce to 59305906 relations and 41370518 ideals in 14 passes
  45. Thu May 19 21:02:43 2016  max relations containing the same ideal: 31
  46. Thu May 19 21:02:47 2016  reading ideals above 720000
  47. Thu May 19 21:02:47 2016  commencing singleton removal, initial pass
  48. Thu May 19 21:12:06 2016  memory use: 1378.0 MB
  49. Thu May 19 21:12:06 2016  reading all ideals from disk
  50. Thu May 19 21:12:15 2016  memory use: 2200.8 MB
  51. Thu May 19 21:12:20 2016  keeping 48637935 ideals with weight <= 200, target excess is 306843
  52. Thu May 19 21:12:26 2016  commencing in-memory singleton removal
  53. Thu May 19 21:12:30 2016  begin with 59305906 relations and 48637935 unique ideals
  54. Thu May 19 21:13:02 2016  reduce to 59304858 relations and 48636887 ideals in 7 passes
  55. Thu May 19 21:13:02 2016  max relations containing the same ideal: 200
  56. Thu May 19 21:13:27 2016  removing 9065374 relations and 7065374 ideals in 2000000 cliques
  57. Thu May 19 21:13:30 2016  commencing in-memory singleton removal
  58. Thu May 19 21:13:33 2016  begin with 50239484 relations and 48636887 unique ideals
  59. Thu May 19 21:14:05 2016  reduce to 49141312 relations and 40427409 ideals in 9 passes
  60. Thu May 19 21:14:05 2016  max relations containing the same ideal: 186
  61. Thu May 19 21:14:24 2016  removing 7171178 relations and 5171178 ideals in 2000000 cliques
  62. Thu May 19 21:14:26 2016  commencing in-memory singleton removal
  63. Thu May 19 21:14:29 2016  begin with 41970134 relations and 40427409 unique ideals
  64. Thu May 19 21:14:54 2016  reduce to 41164904 relations and 34418626 ideals in 9 passes
  65. Thu May 19 21:14:54 2016  max relations containing the same ideal: 167
  66. Thu May 19 21:15:11 2016  removing 6652554 relations and 4652554 ideals in 2000000 cliques
  67. Thu May 19 21:15:13 2016  commencing in-memory singleton removal
  68. Thu May 19 21:15:15 2016  begin with 34512350 relations and 34418626 unique ideals
  69. Thu May 19 21:15:36 2016  reduce to 33730870 relations and 28949599 ideals in 9 passes
  70. Thu May 19 21:15:36 2016  max relations containing the same ideal: 146
  71. Thu May 19 21:15:49 2016  removing 6414776 relations and 4414776 ideals in 2000000 cliques
  72. Thu May 19 21:15:51 2016  commencing in-memory singleton removal
  73. Thu May 19 21:15:52 2016  begin with 27316094 relations and 28949599 unique ideals
  74. Thu May 19 21:16:05 2016  reduce to 26467476 relations and 23641055 ideals in 8 passes
  75. Thu May 19 21:16:05 2016  max relations containing the same ideal: 123
  76. Thu May 19 21:16:15 2016  removing 6277134 relations and 4277134 ideals in 2000000 cliques
  77. Thu May 19 21:16:17 2016  commencing in-memory singleton removal
  78. Thu May 19 21:16:18 2016  begin with 20190342 relations and 23641055 unique ideals
  79. Thu May 19 21:16:28 2016  reduce to 19185722 relations and 18290537 ideals in 9 passes
  80. Thu May 19 21:16:28 2016  max relations containing the same ideal: 100
  81. Thu May 19 21:16:35 2016  removing 2254058 relations and 1714811 ideals in 539247 cliques
  82. Thu May 19 21:16:37 2016  commencing in-memory singleton removal
  83. Thu May 19 21:16:37 2016  begin with 16931664 relations and 18290537 unique ideals
  84. Thu May 19 21:16:45 2016  reduce to 16748457 relations and 16387742 ideals in 8 passes
  85. Thu May 19 21:16:45 2016  max relations containing the same ideal: 91
  86. Thu May 19 21:16:55 2016  relations with 0 large ideals: 6156
  87. Thu May 19 21:16:55 2016  relations with 1 large ideals: 2295
  88. Thu May 19 21:16:55 2016  relations with 2 large ideals: 37570
  89. Thu May 19 21:16:55 2016  relations with 3 large ideals: 290978
  90. Thu May 19 21:16:55 2016  relations with 4 large ideals: 1204900
  91. Thu May 19 21:16:55 2016  relations with 5 large ideals: 2941660
  92. Thu May 19 21:16:55 2016  relations with 6 large ideals: 4591018
  93. Thu May 19 21:16:55 2016  relations with 7+ large ideals: 7673880
  94. Thu May 19 21:16:55 2016  commencing 2-way merge
  95. Thu May 19 21:17:02 2016  reduce to 10699315 relation sets and 10338600 unique ideals
  96. Thu May 19 21:17:02 2016  commencing full merge
  97. Thu May 19 21:20:40 2016  memory use: 1422.2 MB
  98. Thu May 19 21:20:41 2016  found 4888703 cycles, need 4874800
  99. Thu May 19 21:20:42 2016  weight of 4874800 cycles is about 585330578 (120.07/cycle)
  100. Thu May 19 21:20:42 2016  distribution of cycle lengths:
  101. Thu May 19 21:20:42 2016  1 relations: 184238
  102. Thu May 19 21:20:42 2016  2 relations: 299469
  103. Thu May 19 21:20:42 2016  3 relations: 351860
  104. Thu May 19 21:20:42 2016  4 relations: 361143
  105. Thu May 19 21:20:42 2016  5 relations: 365608
  106. Thu May 19 21:20:42 2016  6 relations: 360413
  107. Thu May 19 21:20:42 2016  7 relations: 353779
  108. Thu May 19 21:20:42 2016  8 relations: 335430
  109. Thu May 19 21:20:42 2016  9 relations: 316866
  110. Thu May 19 21:20:42 2016  10+ relations: 1945994
  111. Thu May 19 21:20:42 2016  heaviest cycle: 28 relations
  112. Thu May 19 21:20:44 2016  commencing cycle optimization
  113. Thu May 19 21:20:52 2016  start with 43354870 relations
  114. Thu May 19 21:22:12 2016  pruned 2019983 relations
  115. Thu May 19 21:22:12 2016  memory use: 1141.1 MB
  116. Thu May 19 21:22:12 2016  distribution of cycle lengths:
  117. Thu May 19 21:22:12 2016  1 relations: 184238
  118. Thu May 19 21:22:12 2016  2 relations: 307188
  119. Thu May 19 21:22:12 2016  3 relations: 367309
  120. Thu May 19 21:22:12 2016  4 relations: 376045
  121. Thu May 19 21:22:12 2016  5 relations: 384067
  122. Thu May 19 21:22:12 2016  6 relations: 378688
  123. Thu May 19 21:22:12 2016  7 relations: 372129
  124. Thu May 19 21:22:12 2016  8 relations: 351568
  125. Thu May 19 21:22:12 2016  9 relations: 331449
  126. Thu May 19 21:22:12 2016  10+ relations: 1822119
  127. Thu May 19 21:22:12 2016  heaviest cycle: 28 relations
  128. Thu May 19 21:22:20 2016  RelProcTime: 3366
  129. Thu May 19 21:22:20 2016  
  130. Thu May 19 21:22:20 2016  commencing linear algebra
  131. Thu May 19 21:22:20 2016  read 4874800 cycles
  132. Thu May 19 21:22:30 2016  cycles contain 16511514 unique relations
  133. Thu May 19 21:24:22 2016  read 16511514 relations
  134. Thu May 19 21:24:40 2016  using 20 quadratic characters above 4294917295
  135. Thu May 19 21:25:48 2016  building initial matrix
  136. Thu May 19 21:28:29 2016  memory use: 2096.0 MB
  137. Thu May 19 21:28:31 2016  read 4874800 cycles
  138. Thu May 19 21:28:31 2016  matrix is 4874623 x 4874800 (2280.7 MB) with weight 665388348 (136.50/col)
  139. Thu May 19 21:28:31 2016  sparse part has weight 544236487 (111.64/col)
  140. Thu May 19 21:29:19 2016  filtering completed in 2 passes
  141. Thu May 19 21:29:20 2016  matrix is 4874553 x 4874730 (2280.6 MB) with weight 665385698 (136.50/col)
  142. Thu May 19 21:29:20 2016  sparse part has weight 544235587 (111.64/col)
  143. Thu May 19 21:29:31 2016  matrix starts at (0, 0)
  144. Thu May 19 21:29:32 2016  matrix is 4874553 x 4874730 (2280.6 MB) with weight 665385698 (136.50/col)
  145. Thu May 19 21:29:32 2016  sparse part has weight 544235587 (111.64/col)
  146. Thu May 19 21:29:32 2016  saving the first 48 matrix rows for later
  147. Thu May 19 21:29:32 2016  matrix includes 64 packed rows
  148. Thu May 19 21:29:33 2016  matrix is 4874505 x 4874730 (2189.5 MB) with weight 570247404 (116.98/col)
  149. Thu May 19 21:29:33 2016  sparse part has weight 525218088 (107.74/col)
  150. Thu May 19 21:29:33 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  151. Thu May 19 21:29:51 2016  commencing Lanczos iteration (4 threads)
  152. Thu May 19 21:29:51 2016  memory use: 1824.3 MB
  153. Thu May 19 21:30:42 2016  linear algebra at 0.0%, ETA 42h58m
  154. Thu May 19 21:30:56 2016  checkpointing every 120000 dimensions
  155. Fri May 20 12:01:15 2016  lanczos halted after 77085 iterations (dim = 4874501)
  156. Fri May 20 12:01:19 2016  recovered 35 nontrivial dependencies
  157. Fri May 20 12:01:19 2016  BLanczosTime: 52739
  158. Fri May 20 12:01:19 2016  
  159. Fri May 20 12:01:19 2016  commencing square root phase
  160. Fri May 20 12:01:19 2016  handling dependencies 1 to 64
  161. Fri May 20 12:01:19 2016  reading relations for dependency 1
  162. Fri May 20 12:01:20 2016  read 2437117 cycles
  163. Fri May 20 12:01:24 2016  cycles contain 8252456 unique relations
  164. Fri May 20 12:03:21 2016  read 8252456 relations
  165. Fri May 20 12:03:50 2016  multiplying 8252456 relations
  166. Fri May 20 12:07:43 2016  multiply complete, coefficients have about 251.32 million bits
  167. Fri May 20 12:07:44 2016  initial square root is modulo 1044656281
  168. Fri May 20 12:12:42 2016  Newton iteration failed to converge
  169. Fri May 20 12:12:42 2016  algebraic square root failed
  170. Fri May 20 12:12:42 2016  reading relations for dependency 2
  171. Fri May 20 12:12:43 2016  read 2439056 cycles
  172. Fri May 20 12:12:48 2016  cycles contain 8261950 unique relations
  173. Fri May 20 12:14:53 2016  read 8261950 relations
  174. Fri May 20 12:15:29 2016  multiplying 8261950 relations
  175. Fri May 20 12:19:42 2016  multiply complete, coefficients have about 251.62 million bits
  176. Fri May 20 12:19:43 2016  initial square root is modulo 1070876731
  177. Fri May 20 12:24:41 2016  sqrtTime: 1402
  178. Fri May 20 12:24:42 2016  p92 factor: 71484527237293063097507376962834151488403521314830336495108515488241185643611179924537384943
  179. Fri May 20 12:24:42 2016  p93 factor: 277054085787504446590610570138822521152869183775015036015464013829860346441939573187533417559
  180. Fri May 20 12:24:42 2016  elapsed time 15:58:32
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