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6301_61_minus1

debrouxl Jun 7th, 2016 65 Never
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  1. Fri Aug 28 19:29:49 2015  
  2. Fri Aug 28 19:29:49 2015  
  3. Fri Aug 28 19:29:49 2015  Msieve v. 1.53 (SVN Répertoire non versionné)
  4. Fri Aug 28 19:29:49 2015  random seeds: 3a5aa8f9 f47e5043
  5. Fri Aug 28 19:29:49 2015  factoring 6743581511718910279118709357791324230428167853641540822128684479086982191499430126493660334574323695377401135123477858764682892181302457994854487180508455620921149401535633957261507 (181 digits)
  6. Fri Aug 28 19:29:50 2015  no P-1/P+1/ECM available, skipping
  7. Fri Aug 28 19:29:50 2015  commencing number field sieve (181-digit input)
  8. Fri Aug 28 19:29:50 2015  R0: -98649479047129643621188820548426113001
  9. Fri Aug 28 19:29:50 2015  R1: 1
  10. Fri Aug 28 19:29:50 2015  A0: -1
  11. Fri Aug 28 19:29:50 2015  A1: 0
  12. Fri Aug 28 19:29:50 2015  A2: 0
  13. Fri Aug 28 19:29:50 2015  A3: 0
  14. Fri Aug 28 19:29:50 2015  A4: 0
  15. Fri Aug 28 19:29:50 2015  A5: 0
  16. Fri Aug 28 19:29:50 2015  A6: 6301
  17. Fri Aug 28 19:29:50 2015  skew 0.23, size 2.355e-11, alpha -1.755, combined = 1.182e-12 rroots = 2
  18. Fri Aug 28 19:29:50 2015  
  19. Fri Aug 28 19:29:50 2015  commencing relation filtering
  20. Fri Aug 28 19:29:50 2015  setting target matrix density to 90.0
  21. Fri Aug 28 19:29:50 2015  estimated available RAM is 7880.8 MB
  22. Fri Aug 28 19:29:50 2015  commencing duplicate removal, pass 1
  23. Fri Aug 28 19:32:45 2015  error -9 reading relation 16835864
  24. Fri Aug 28 19:33:08 2015  error -9 reading relation 19194480
  25. Fri Aug 28 19:33:08 2015  error -15 reading relation 19194709
  26. Fri Aug 28 19:34:31 2015  error -15 reading relation 27650425
  27. Fri Aug 28 19:34:32 2015  error -15 reading relation 27703618
  28. Fri Aug 28 19:37:07 2015  error -9 reading relation 43613595
  29. Fri Aug 28 19:37:07 2015  error -1 reading relation 43662928
  30. Fri Aug 28 19:37:30 2015  error -5 reading relation 45972941
  31. Fri Aug 28 19:37:33 2015  error -15 reading relation 46248648
  32. Fri Aug 28 19:42:05 2015  error -9 reading relation 72325409
  33. Fri Aug 28 19:42:06 2015  error -9 reading relation 72352675
  34. Fri Aug 28 19:43:39 2015  error -9 reading relation 81592988
  35. Fri Aug 28 19:45:03 2015  error -9 reading relation 89990471
  36. Fri Aug 28 19:45:06 2015  error -15 reading relation 90213254
  37. Fri Aug 28 19:48:03 2015  error -9 reading relation 106949373
  38. Fri Aug 28 19:48:03 2015  error -9 reading relation 106952951
  39. Fri Aug 28 19:48:26 2015  error -15 reading relation 108816990
  40. Fri Aug 28 19:49:06 2015  skipped 92 relations with b > 2^32
  41. Fri Aug 28 19:49:06 2015  skipped 3 relations with composite factors
  42. Fri Aug 28 19:49:06 2015  found 18671096 hash collisions in 112414842 relations
  43. Fri Aug 28 19:49:26 2015  added 1218054 free relations
  44. Fri Aug 28 19:49:26 2015  commencing duplicate removal, pass 2
  45. Fri Aug 28 19:51:59 2015  found 16997202 duplicates and 96635694 unique relations
  46. Fri Aug 28 19:51:59 2015  memory use: 660.8 MB
  47. Fri Aug 28 19:51:59 2015  reading ideals above 75956224
  48. Fri Aug 28 19:51:59 2015  commencing singleton removal, initial pass
  49. Fri Aug 28 20:05:44 2015  memory use: 1506.0 MB
  50. Fri Aug 28 20:05:44 2015  reading all ideals from disk
  51. Fri Aug 28 20:06:01 2015  memory use: 1638.8 MB
  52. Fri Aug 28 20:06:05 2015  commencing in-memory singleton removal
  53. Fri Aug 28 20:06:08 2015  begin with 96635694 relations and 81106886 unique ideals
  54. Fri Aug 28 20:06:46 2015  reduce to 60792318 relations and 41406166 ideals in 13 passes
  55. Fri Aug 28 20:06:46 2015  max relations containing the same ideal: 38
  56. Fri Aug 28 20:06:53 2015  reading ideals above 720000
  57. Fri Aug 28 20:06:53 2015  commencing singleton removal, initial pass
  58. Fri Aug 28 20:19:05 2015  memory use: 1378.0 MB
  59. Fri Aug 28 20:19:05 2015  reading all ideals from disk
  60. Fri Aug 28 20:19:29 2015  memory use: 2273.1 MB
  61. Fri Aug 28 20:19:36 2015  keeping 49987384 ideals with weight <= 200, target excess is 311565
  62. Fri Aug 28 20:19:43 2015  commencing in-memory singleton removal
  63. Fri Aug 28 20:19:49 2015  begin with 60792319 relations and 49987384 unique ideals
  64. Fri Aug 28 20:20:24 2015  reduce to 60789260 relations and 49984322 ideals in 6 passes
  65. Fri Aug 28 20:20:24 2015  max relations containing the same ideal: 200
  66. Fri Aug 28 20:20:57 2015  removing 8990075 relations and 6990075 ideals in 2000000 cliques
  67. Fri Aug 28 20:21:00 2015  commencing in-memory singleton removal
  68. Fri Aug 28 20:21:06 2015  begin with 51799185 relations and 49984322 unique ideals
  69. Fri Aug 28 20:21:56 2015  reduce to 50712865 relations and 41863490 ideals in 10 passes
  70. Fri Aug 28 20:21:56 2015  max relations containing the same ideal: 188
  71. Fri Aug 28 20:22:24 2015  removing 7176904 relations and 5176904 ideals in 2000000 cliques
  72. Fri Aug 28 20:22:27 2015  commencing in-memory singleton removal
  73. Fri Aug 28 20:22:31 2015  begin with 43535961 relations and 41863490 unique ideals
  74. Fri Aug 28 20:23:04 2015  reduce to 42748697 relations and 35868913 ideals in 8 passes
  75. Fri Aug 28 20:23:04 2015  max relations containing the same ideal: 168
  76. Fri Aug 28 20:23:28 2015  removing 6649654 relations and 4649654 ideals in 2000000 cliques
  77. Fri Aug 28 20:23:30 2015  commencing in-memory singleton removal
  78. Fri Aug 28 20:23:34 2015  begin with 36099043 relations and 35868913 unique ideals
  79. Fri Aug 28 20:24:00 2015  reduce to 35348940 relations and 30436441 ideals in 8 passes
  80. Fri Aug 28 20:24:00 2015  max relations containing the same ideal: 150
  81. Fri Aug 28 20:24:20 2015  removing 6390077 relations and 4390077 ideals in 2000000 cliques
  82. Fri Aug 28 20:24:23 2015  commencing in-memory singleton removal
  83. Fri Aug 28 20:24:26 2015  begin with 28958863 relations and 30436441 unique ideals
  84. Fri Aug 28 20:24:49 2015  reduce to 28173145 relations and 25220868 ideals in 9 passes
  85. Fri Aug 28 20:24:49 2015  max relations containing the same ideal: 126
  86. Fri Aug 28 20:25:05 2015  removing 6208394 relations and 4208394 ideals in 2000000 cliques
  87. Fri Aug 28 20:25:07 2015  commencing in-memory singleton removal
  88. Fri Aug 28 20:25:09 2015  begin with 21964751 relations and 25220868 unique ideals
  89. Fri Aug 28 20:25:26 2015  reduce to 21081820 relations and 20073238 ideals in 9 passes
  90. Fri Aug 28 20:25:26 2015  max relations containing the same ideal: 103
  91. Fri Aug 28 20:25:38 2015  removing 2498303 relations and 1851137 ideals in 647166 cliques
  92. Fri Aug 28 20:25:40 2015  commencing in-memory singleton removal
  93. Fri Aug 28 20:25:42 2015  begin with 18583517 relations and 20073238 unique ideals
  94. Fri Aug 28 20:25:53 2015  reduce to 18384096 relations and 18017036 ideals in 7 passes
  95. Fri Aug 28 20:25:53 2015  max relations containing the same ideal: 94
  96. Fri Aug 28 20:26:07 2015  relations with 0 large ideals: 11775
  97. Fri Aug 28 20:26:07 2015  relations with 1 large ideals: 2988
  98. Fri Aug 28 20:26:07 2015  relations with 2 large ideals: 37372
  99. Fri Aug 28 20:26:07 2015  relations with 3 large ideals: 289619
  100. Fri Aug 28 20:26:07 2015  relations with 4 large ideals: 1216932
  101. Fri Aug 28 20:26:07 2015  relations with 5 large ideals: 3045057
  102. Fri Aug 28 20:26:07 2015  relations with 6 large ideals: 4725059
  103. Fri Aug 28 20:26:07 2015  relations with 7+ large ideals: 9055294
  104. Fri Aug 28 20:26:07 2015  commencing 2-way merge
  105. Fri Aug 28 20:26:20 2015  reduce to 12110815 relation sets and 11743755 unique ideals
  106. Fri Aug 28 20:26:20 2015  commencing full merge
  107. Fri Aug 28 20:31:11 2015  memory use: 1573.3 MB
  108. Fri Aug 28 20:31:12 2015  found 6022874 cycles, need 5973955
  109. Fri Aug 28 20:31:14 2015  weight of 5973955 cycles is about 537726459 (90.01/cycle)
  110. Fri Aug 28 20:31:14 2015  distribution of cycle lengths:
  111. Fri Aug 28 20:31:14 2015  1 relations: 359816
  112. Fri Aug 28 20:31:14 2015  2 relations: 503810
  113. Fri Aug 28 20:31:14 2015  3 relations: 571475
  114. Fri Aug 28 20:31:14 2015  4 relations: 574547
  115. Fri Aug 28 20:31:14 2015  5 relations: 569118
  116. Fri Aug 28 20:31:14 2015  6 relations: 539104
  117. Fri Aug 28 20:31:14 2015  7 relations: 503046
  118. Fri Aug 28 20:31:14 2015  8 relations: 452238
  119. Fri Aug 28 20:31:14 2015  9 relations: 393733
  120. Fri Aug 28 20:31:14 2015  10+ relations: 1507068
  121. Fri Aug 28 20:31:14 2015  heaviest cycle: 25 relations
  122. Fri Aug 28 20:31:17 2015  commencing cycle optimization
  123. Fri Aug 28 20:31:29 2015  start with 41516529 relations
  124. Fri Aug 28 20:33:06 2015  pruned 1530729 relations
  125. Fri Aug 28 20:33:06 2015  memory use: 1196.3 MB
  126. Fri Aug 28 20:33:06 2015  distribution of cycle lengths:
  127. Fri Aug 28 20:33:06 2015  1 relations: 359816
  128. Fri Aug 28 20:33:06 2015  2 relations: 515283
  129. Fri Aug 28 20:33:06 2015  3 relations: 594715
  130. Fri Aug 28 20:33:06 2015  4 relations: 595887
  131. Fri Aug 28 20:33:06 2015  5 relations: 594461
  132. Fri Aug 28 20:33:06 2015  6 relations: 559587
  133. Fri Aug 28 20:33:06 2015  7 relations: 522485
  134. Fri Aug 28 20:33:06 2015  8 relations: 464307
  135. Fri Aug 28 20:33:06 2015  9 relations: 400736
  136. Fri Aug 28 20:33:06 2015  10+ relations: 1366678
  137. Fri Aug 28 20:33:06 2015  heaviest cycle: 25 relations
  138. Fri Aug 28 20:33:20 2015  RelProcTime: 3810
  139. Fri Aug 28 20:33:20 2015  
  140. Fri Aug 28 20:33:20 2015  commencing linear algebra
  141. Fri Aug 28 20:33:23 2015  read 5973955 cycles
  142. Fri Aug 28 20:33:36 2015  cycles contain 18151621 unique relations
  143. Fri Aug 28 20:37:11 2015  read 18151621 relations
  144. Fri Aug 28 20:37:43 2015  using 20 quadratic characters above 4294917295
  145. Fri Aug 28 20:39:10 2015  building initial matrix
  146. Fri Aug 28 20:44:41 2015  memory use: 2416.0 MB
  147. Fri Aug 28 20:45:06 2015  read 5973955 cycles
  148. Fri Aug 28 20:45:07 2015  matrix is 5973778 x 5973955 (2198.0 MB) with weight 657270333 (110.02/col)
  149. Fri Aug 28 20:45:07 2015  sparse part has weight 510470128 (85.45/col)
  150. Fri Aug 28 20:46:25 2015  filtering completed in 2 passes
  151. Fri Aug 28 20:46:27 2015  matrix is 5973385 x 5973562 (2197.9 MB) with weight 657256661 (110.03/col)
  152. Fri Aug 28 20:46:27 2015  sparse part has weight 510466188 (85.45/col)
  153. Fri Aug 28 20:47:42 2015  matrix starts at (0, 0)
  154. Fri Aug 28 20:47:43 2015  matrix is 5973385 x 5973562 (2197.9 MB) with weight 657256661 (110.03/col)
  155. Fri Aug 28 20:47:43 2015  sparse part has weight 510466188 (85.45/col)
  156. Fri Aug 28 20:47:43 2015  saving the first 48 matrix rows for later
  157. Fri Aug 28 20:47:44 2015  matrix includes 64 packed rows
  158. Fri Aug 28 20:47:45 2015  matrix is 5973337 x 5973562 (2114.2 MB) with weight 541048495 (90.57/col)
  159. Fri Aug 28 20:47:45 2015  sparse part has weight 494499807 (82.78/col)
  160. Fri Aug 28 20:47:46 2015  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  161. Fri Aug 28 20:48:11 2015  commencing Lanczos iteration (4 threads)
  162. Fri Aug 28 20:48:11 2015  memory use: 1763.2 MB
  163. Fri Aug 28 20:48:54 2015  linear algebra at 0.0%, ETA 44h59m
  164. Fri Aug 28 20:49:08 2015  checkpointing every 140000 dimensions
  165. Sun Aug 30 04:22:13 2015  lanczos halted after 94464 iterations (dim = 5973335)
  166. Sun Aug 30 04:22:21 2015  recovered 33 nontrivial dependencies
  167. Sun Aug 30 04:22:22 2015  BLanczosTime: 114542
  168. Sun Aug 30 04:22:22 2015  
  169. Sun Aug 30 04:22:22 2015  commencing square root phase
  170. Sun Aug 30 04:22:22 2015  handling dependencies 1 to 64
  171. Sun Aug 30 04:22:22 2015  reading relations for dependency 1
  172. Sun Aug 30 04:22:24 2015  read 2986237 cycles
  173. Sun Aug 30 04:22:30 2015  cycles contain 9077790 unique relations
  174. Sun Aug 30 04:25:08 2015  read 9077790 relations
  175. Sun Aug 30 04:26:00 2015  multiplying 9077790 relations
  176. Sun Aug 30 04:36:20 2015  multiply complete, coefficients have about 326.74 million bits
  177. Sun Aug 30 04:36:21 2015  initial square root is modulo 729139
  178. Sun Aug 30 04:46:44 2015  sqrtTime: 1462
  179. Sun Aug 30 04:46:44 2015  p88 factor: 9022509746863434511739672369920239102959899077629324070109608114802525578138780371489131
  180. Sun Aug 30 04:46:44 2015  p93 factor: 747417481489918496001895698025728406575095606678858616626321587801804588801750191948274981897
  181. Sun Aug 30 04:46:44 2015  elapsed time 33:16:55
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