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C208_139_42

debrouxl May 31st, 2016 25 Never
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  1. Mon Apr 11 19:37:06 2016  
  2. Mon Apr 11 19:37:06 2016  
  3. Mon Apr 11 19:37:06 2016  Msieve v. 1.53 (SVN 984M)
  4. Mon Apr 11 19:37:06 2016  random seeds: 306edd5b 33cfd723
  5. Mon Apr 11 19:37:06 2016  MPI process 0 of 1
  6. Mon Apr 11 19:37:06 2016  factoring 2754417841182727328208535672301426717901374288737635310201031662119269013816320100263079368411484715650753706588250290812482367799531648470970236187023556376845136447303822536502181590468460773003908103943841 (208 digits)
  7. Mon Apr 11 19:37:06 2016  commencing number field sieve (208-digit input)
  8. Mon Apr 11 19:37:06 2016  R0: -1002544368429379
  9. Mon Apr 11 19:37:06 2016  R1: 21613926941579800829422581272845221888
  10. Mon Apr 11 19:37:06 2016  A0: 42
  11. Mon Apr 11 19:37:06 2016  A1: 0
  12. Mon Apr 11 19:37:06 2016  A2: 0
  13. Mon Apr 11 19:37:06 2016  A3: 0
  14. Mon Apr 11 19:37:06 2016  A4: 0
  15. Mon Apr 11 19:37:06 2016  A5: 0
  16. Mon Apr 11 19:37:06 2016  A6: 1
  17. Mon Apr 11 19:37:06 2016  skew 1.00, size 3.957e-11, alpha 0.514, combined = 1.730e-12 rroots = 0
  18. Mon Apr 11 19:37:06 2016  
  19. Mon Apr 11 19:37:06 2016  commencing relation filtering
  20. Mon Apr 11 19:37:06 2016  setting target matrix density to 95.0
  21. Mon Apr 11 19:37:06 2016  estimated available RAM is 16009.0 MB
  22. Mon Apr 11 19:37:06 2016  commencing duplicate removal, pass 1
  23. Mon Apr 11 19:41:50 2016  error -9 reading relation 34787360
  24. Mon Apr 11 19:41:53 2016  error -5 reading relation 35138842
  25. Mon Apr 11 19:44:23 2016  error -9 reading relation 54109076
  26. Mon Apr 11 19:44:39 2016  error -1 reading relation 56140764
  27. Mon Apr 11 19:45:19 2016  error -1 reading relation 61415474
  28. Mon Apr 11 19:45:19 2016  error -9 reading relation 61417983
  29. Mon Apr 11 19:45:19 2016  error -1 reading relation 61418844
  30. Mon Apr 11 19:45:20 2016  error -1 reading relation 61572344
  31. Mon Apr 11 19:45:20 2016  error -9 reading relation 61574829
  32. Mon Apr 11 19:45:21 2016  error -1 reading relation 61678141
  33. Mon Apr 11 19:45:21 2016  error -15 reading relation 61681433
  34. Mon Apr 11 19:45:22 2016  error -1 reading relation 61768909
  35. Mon Apr 11 19:45:23 2016  error -15 reading relation 61815974
  36. Mon Apr 11 19:45:23 2016  error -9 reading relation 61819485
  37. Mon Apr 11 19:47:27 2016  error -11 reading relation 77502353
  38. Mon Apr 11 19:48:38 2016  error -9 reading relation 86507951
  39. Mon Apr 11 19:51:55 2016  error -1 reading relation 110978728
  40. Mon Apr 11 19:52:06 2016  error -9 reading relation 112367463
  41. Mon Apr 11 19:52:24 2016  error -1 reading relation 114485131
  42. Mon Apr 11 19:52:24 2016  error -15 reading relation 114498804
  43. Mon Apr 11 19:52:27 2016  skipped 2 relations with b > 2^32
  44. Mon Apr 11 19:52:27 2016  skipped 13 relations with composite factors
  45. Mon Apr 11 19:52:27 2016  found 17780740 hash collisions in 114864592 relations
  46. Mon Apr 11 19:52:42 2016  added 1218918 free relations
  47. Mon Apr 11 19:52:42 2016  commencing duplicate removal, pass 2
  48. Mon Apr 11 19:54:52 2016  found 15580140 duplicates and 100503370 unique relations
  49. Mon Apr 11 19:54:52 2016  memory use: 660.8 MB
  50. Mon Apr 11 19:54:52 2016  reading ideals above 65994752
  51. Mon Apr 11 19:54:52 2016  commencing singleton removal, initial pass
  52. Mon Apr 11 20:06:16 2016  memory use: 2756.0 MB
  53. Mon Apr 11 20:06:16 2016  reading all ideals from disk
  54. Mon Apr 11 20:06:28 2016  memory use: 1736.2 MB
  55. Mon Apr 11 20:06:31 2016  commencing in-memory singleton removal
  56. Mon Apr 11 20:06:35 2016  begin with 100503370 relations and 82795076 unique ideals
  57. Mon Apr 11 20:07:09 2016  reduce to 65797029 relations and 44559620 ideals in 12 passes
  58. Mon Apr 11 20:07:09 2016  max relations containing the same ideal: 44
  59. Mon Apr 11 20:07:13 2016  reading ideals above 720000
  60. Mon Apr 11 20:07:13 2016  commencing singleton removal, initial pass
  61. Mon Apr 11 20:17:56 2016  memory use: 1378.0 MB
  62. Mon Apr 11 20:17:57 2016  reading all ideals from disk
  63. Mon Apr 11 20:18:06 2016  memory use: 2443.7 MB
  64. Mon Apr 11 20:18:11 2016  keeping 52018228 ideals with weight <= 200, target excess is 334513
  65. Mon Apr 11 20:18:18 2016  commencing in-memory singleton removal
  66. Mon Apr 11 20:18:22 2016  begin with 65797029 relations and 52018228 unique ideals
  67. Mon Apr 11 20:18:50 2016  reduce to 65796970 relations and 52018169 ideals in 5 passes
  68. Mon Apr 11 20:18:50 2016  max relations containing the same ideal: 200
  69. Mon Apr 11 20:19:18 2016  removing 8611503 relations and 6611503 ideals in 2000000 cliques
  70. Mon Apr 11 20:19:20 2016  commencing in-memory singleton removal
  71. Mon Apr 11 20:19:25 2016  begin with 57185467 relations and 52018169 unique ideals
  72. Mon Apr 11 20:20:08 2016  reduce to 56267375 relations and 44454250 ideals in 8 passes
  73. Mon Apr 11 20:20:08 2016  max relations containing the same ideal: 189
  74. Mon Apr 11 20:20:34 2016  removing 6884044 relations and 4884044 ideals in 2000000 cliques
  75. Mon Apr 11 20:20:37 2016  commencing in-memory singleton removal
  76. Mon Apr 11 20:20:41 2016  begin with 49383331 relations and 44454250 unique ideals
  77. Mon Apr 11 20:21:11 2016  reduce to 48733522 relations and 38897471 ideals in 7 passes
  78. Mon Apr 11 20:21:11 2016  max relations containing the same ideal: 172
  79. Mon Apr 11 20:21:32 2016  removing 6380307 relations and 4380307 ideals in 2000000 cliques
  80. Mon Apr 11 20:21:34 2016  commencing in-memory singleton removal
  81. Mon Apr 11 20:21:38 2016  begin with 42353215 relations and 38897471 unique ideals
  82. Mon Apr 11 20:22:01 2016  reduce to 41750410 relations and 33891387 ideals in 7 passes
  83. Mon Apr 11 20:22:01 2016  max relations containing the same ideal: 157
  84. Mon Apr 11 20:22:19 2016  removing 6142521 relations and 4142521 ideals in 2000000 cliques
  85. Mon Apr 11 20:22:21 2016  commencing in-memory singleton removal
  86. Mon Apr 11 20:22:24 2016  begin with 35607889 relations and 33891387 unique ideals
  87. Mon Apr 11 20:22:43 2016  reduce to 34995915 relations and 29110580 ideals in 7 passes
  88. Mon Apr 11 20:22:43 2016  max relations containing the same ideal: 139
  89. Mon Apr 11 20:22:59 2016  removing 5992167 relations and 3992168 ideals in 2000000 cliques
  90. Mon Apr 11 20:23:01 2016  commencing in-memory singleton removal
  91. Mon Apr 11 20:23:03 2016  begin with 29003748 relations and 29110580 unique ideals
  92. Mon Apr 11 20:23:19 2016  reduce to 28342043 relations and 24423434 ideals in 7 passes
  93. Mon Apr 11 20:23:19 2016  max relations containing the same ideal: 122
  94. Mon Apr 11 20:23:33 2016  removing 5892906 relations and 3892906 ideals in 2000000 cliques
  95. Mon Apr 11 20:23:34 2016  commencing in-memory singleton removal
  96. Mon Apr 11 20:23:36 2016  begin with 22449137 relations and 24423434 unique ideals
  97. Mon Apr 11 20:23:51 2016  reduce to 21698992 relations and 19734344 ideals in 9 passes
  98. Mon Apr 11 20:23:51 2016  max relations containing the same ideal: 100
  99. Mon Apr 11 20:24:01 2016  removing 4770769 relations and 3194157 ideals in 1576612 cliques
  100. Mon Apr 11 20:24:03 2016  commencing in-memory singleton removal
  101. Mon Apr 11 20:24:04 2016  begin with 16928223 relations and 19734344 unique ideals
  102. Mon Apr 11 20:24:15 2016  reduce to 16279026 relations and 15848586 ideals in 9 passes
  103. Mon Apr 11 20:24:15 2016  max relations containing the same ideal: 84
  104. Mon Apr 11 20:24:22 2016  removing 250386 relations and 207982 ideals in 42404 cliques
  105. Mon Apr 11 20:24:23 2016  commencing in-memory singleton removal
  106. Mon Apr 11 20:24:24 2016  begin with 16028640 relations and 15848586 unique ideals
  107. Mon Apr 11 20:24:31 2016  reduce to 16025814 relations and 15637773 ideals in 6 passes
  108. Mon Apr 11 20:24:31 2016  max relations containing the same ideal: 82
  109. Mon Apr 11 20:24:35 2016  relations with 0 large ideals: 12477
  110. Mon Apr 11 20:24:35 2016  relations with 1 large ideals: 4038
  111. Mon Apr 11 20:24:35 2016  relations with 2 large ideals: 49486
  112. Mon Apr 11 20:24:35 2016  relations with 3 large ideals: 352444
  113. Mon Apr 11 20:24:35 2016  relations with 4 large ideals: 1350673
  114. Mon Apr 11 20:24:35 2016  relations with 5 large ideals: 3056383
  115. Mon Apr 11 20:24:35 2016  relations with 6 large ideals: 4277746
  116. Mon Apr 11 20:24:35 2016  relations with 7+ large ideals: 6922567
  117. Mon Apr 11 20:24:35 2016  commencing 2-way merge
  118. Mon Apr 11 20:24:43 2016  reduce to 10636536 relation sets and 10248495 unique ideals
  119. Mon Apr 11 20:24:43 2016  commencing full merge
  120. Mon Apr 11 20:28:09 2016  memory use: 1383.9 MB
  121. Mon Apr 11 20:28:10 2016  found 5226246 cycles, need 5180695
  122. Mon Apr 11 20:28:11 2016  weight of 5180695 cycles is about 492744622 (95.11/cycle)
  123. Mon Apr 11 20:28:11 2016  distribution of cycle lengths:
  124. Mon Apr 11 20:28:11 2016  1 relations: 271467
  125. Mon Apr 11 20:28:11 2016  2 relations: 406878
  126. Mon Apr 11 20:28:11 2016  3 relations: 473578
  127. Mon Apr 11 20:28:11 2016  4 relations: 486551
  128. Mon Apr 11 20:28:11 2016  5 relations: 486656
  129. Mon Apr 11 20:28:11 2016  6 relations: 468723
  130. Mon Apr 11 20:28:11 2016  7 relations: 436712
  131. Mon Apr 11 20:28:11 2016  8 relations: 392093
  132. Mon Apr 11 20:28:11 2016  9 relations: 344245
  133. Mon Apr 11 20:28:11 2016  10+ relations: 1413792
  134. Mon Apr 11 20:28:11 2016  heaviest cycle: 26 relations
  135. Mon Apr 11 20:28:13 2016  commencing cycle optimization
  136. Mon Apr 11 20:28:21 2016  start with 37577537 relations
  137. Mon Apr 11 20:29:25 2016  pruned 1515327 relations
  138. Mon Apr 11 20:29:25 2016  memory use: 1057.9 MB
  139. Mon Apr 11 20:29:25 2016  distribution of cycle lengths:
  140. Mon Apr 11 20:29:25 2016  1 relations: 271467
  141. Mon Apr 11 20:29:25 2016  2 relations: 416924
  142. Mon Apr 11 20:29:25 2016  3 relations: 493958
  143. Mon Apr 11 20:29:25 2016  4 relations: 506402
  144. Mon Apr 11 20:29:25 2016  5 relations: 510750
  145. Mon Apr 11 20:29:25 2016  6 relations: 489171
  146. Mon Apr 11 20:29:25 2016  7 relations: 454906
  147. Mon Apr 11 20:29:25 2016  8 relations: 404539
  148. Mon Apr 11 20:29:25 2016  9 relations: 351275
  149. Mon Apr 11 20:29:25 2016  10+ relations: 1281303
  150. Mon Apr 11 20:29:25 2016  heaviest cycle: 25 relations
  151. Mon Apr 11 20:29:34 2016  RelProcTime: 3148
  152. Mon Apr 11 20:29:34 2016  
  153. Mon Apr 11 20:29:34 2016  commencing linear algebra
  154. Mon Apr 11 20:29:34 2016  initialized process (0,0) of 1 x 1 grid
  155. Mon Apr 11 20:29:35 2016  read 5180695 cycles
  156. Mon Apr 11 20:29:43 2016  cycles contain 15825790 unique relations
  157. Mon Apr 11 20:32:41 2016  read 15825790 relations
  158. Mon Apr 11 20:33:02 2016  using 20 quadratic characters above 4294917295
  159. Mon Apr 11 20:34:03 2016  building initial matrix
  160. Mon Apr 11 20:37:01 2016  memory use: 2091.9 MB
  161. Mon Apr 11 20:37:07 2016  read 5180695 cycles
  162. Mon Apr 11 20:37:07 2016  matrix is 5180517 x 5180695 (1990.0 MB) with weight 588505451 (113.60/col)
  163. Mon Apr 11 20:37:07 2016  sparse part has weight 464681496 (89.69/col)
  164. Mon Apr 11 20:37:56 2016  filtering completed in 2 passes
  165. Mon Apr 11 20:37:57 2016  matrix is 5180173 x 5180351 (1990.0 MB) with weight 588492257 (113.60/col)
  166. Mon Apr 11 20:37:57 2016  sparse part has weight 464676468 (89.70/col)
  167. Mon Apr 11 20:38:30 2016  matrix starts at (0, 0)
  168. Mon Apr 11 20:38:31 2016  matrix is 5180173 x 5180351 (1990.0 MB) with weight 588492257 (113.60/col)
  169. Mon Apr 11 20:38:31 2016  sparse part has weight 464676468 (89.70/col)
  170. Mon Apr 11 20:38:31 2016  saving the first 48 matrix rows for later
  171. Mon Apr 11 20:38:31 2016  matrix includes 64 packed rows
  172. Mon Apr 11 20:38:32 2016  matrix is 5180125 x 5180351 (1915.8 MB) with weight 490961071 (94.77/col)
  173. Mon Apr 11 20:38:32 2016  sparse part has weight 450423422 (86.95/col)
  174. Mon Apr 11 20:38:32 2016  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  175. Mon Apr 11 20:38:49 2016  commencing Lanczos iteration (4 threads)
  176. Mon Apr 11 20:38:49 2016  memory use: 1588.0 MB
  177. Mon Apr 11 20:39:14 2016  linear algebra at 0.0%, ETA 22h37m
  178. Mon Apr 11 20:39:22 2016  checkpointing every 230000 dimensions
  179. Tue Apr 12 14:46:07 2016  lanczos halted after 81923 iterations (dim = 5180125)
  180. Tue Apr 12 14:46:11 2016  recovered 37 nontrivial dependencies
  181. Tue Apr 12 14:46:11 2016  BLanczosTime: 65797
  182. Tue Apr 12 14:46:11 2016  
  183. Tue Apr 12 14:46:11 2016  commencing square root phase
  184. Tue Apr 12 14:46:11 2016  handling dependencies 1 to 64
  185. Tue Apr 12 14:46:11 2016  reading relations for dependency 1
  186. Tue Apr 12 14:46:13 2016  read 2590909 cycles
  187. Tue Apr 12 14:46:16 2016  cycles contain 7913366 unique relations
  188. Tue Apr 12 14:48:24 2016  read 7913366 relations
  189. Tue Apr 12 14:48:57 2016  multiplying 7913366 relations
  190. Tue Apr 12 14:53:22 2016  multiply complete, coefficients have about 196.28 million bits
  191. Tue Apr 12 14:53:22 2016  initial square root is modulo 11064271
  192. Tue Apr 12 14:58:31 2016  GCD is 1, no factor found
  193. Tue Apr 12 14:58:31 2016  reading relations for dependency 2
  194. Tue Apr 12 14:58:33 2016  read 2590300 cycles
  195. Tue Apr 12 14:58:36 2016  cycles contain 7912178 unique relations
  196. Tue Apr 12 15:00:52 2016  read 7912178 relations
  197. Tue Apr 12 15:01:26 2016  multiplying 7912178 relations
  198. Tue Apr 12 15:05:52 2016  multiply complete, coefficients have about 196.24 million bits
  199. Tue Apr 12 15:05:52 2016  initial square root is modulo 11033383
  200. Tue Apr 12 15:11:06 2016  sqrtTime: 1495
  201. Tue Apr 12 15:11:06 2016  p83 factor: 45831619772993771621436902009481460358214897190721836768086022318162905923744888227
  202. Tue Apr 12 15:11:06 2016  elapsed time 19:34:00
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