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GW_3_505

CarlosPinho May 31st, 2016 32 Never
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  1. Sat Sep  5 10:45:55 2015  
  2. Sat Sep  5 10:45:55 2015  Msieve v. 1.53 (SVN Unversioned directory)
  3. Sat Sep  5 10:45:55 2015  random seeds: c7c57c32 21a98f18
  4. Sat Sep  5 10:45:55 2015  factoring 63901391892098334826014344658552080996685199077427541498861924156266579208077382230010670136479868333544575269547596700910658940259939776350580578573022173660600064163399166018652971377574922523230051409952257418076155197042512001749 (233 digits)
  5. Sat Sep  5 10:45:56 2015  searching for 15-digit factors
  6. Sat Sep  5 10:45:58 2015  commencing number field sieve (233-digit input)
  7. Sat Sep  5 10:45:58 2015  R0: -11972515182562019788602740026717047105681
  8. Sat Sep  5 10:45:58 2015  R1: 1
  9. Sat Sep  5 10:45:58 2015  A0: -1
  10. Sat Sep  5 10:45:58 2015  A1: 0
  11. Sat Sep  5 10:45:58 2015  A2: 0
  12. Sat Sep  5 10:45:58 2015  A3: 0
  13. Sat Sep  5 10:45:58 2015  A4: 0
  14. Sat Sep  5 10:45:58 2015  A5: 0
  15. Sat Sep  5 10:45:58 2015  A6: 1515
  16. Sat Sep  5 10:45:58 2015  skew 1.00, size 2.293e-12, alpha 2.430, combined = 2.122e-13 rroots = 2
  17. Sat Sep  5 10:45:58 2015  
  18. Sat Sep  5 10:45:58 2015  commencing relation filtering
  19. Sat Sep  5 10:45:58 2015  setting target matrix density to 112.0
  20. Sat Sep  5 10:45:58 2015  estimated available RAM is 16040.3 MB
  21. Sat Sep  5 10:45:58 2015  commencing duplicate removal, pass 1
  22. Sat Sep  5 10:56:10 2015  error -11 reading relation 141601332
  23. Sat Sep  5 10:58:12 2015  skipped 543 relations with b > 2^32
  24. Sat Sep  5 10:58:12 2015  found 6210780 hash collisions in 167533235 relations
  25. Sat Sep  5 10:58:23 2015  commencing duplicate removal, pass 2
  26. Sat Sep  5 11:00:57 2015  found 1 duplicates and 167533234 unique relations
  27. Sat Sep  5 11:00:57 2015  memory use: 506.4 MB
  28. Sat Sep  5 11:00:57 2015  reading ideals above 132710400
  29. Sat Sep  5 11:00:57 2015  commencing singleton removal, initial pass
  30. Sat Sep  5 11:15:18 2015  memory use: 3012.0 MB
  31. Sat Sep  5 11:15:18 2015  reading all ideals from disk
  32. Sat Sep  5 11:15:35 2015  memory use: 3104.2 MB
  33. Sat Sep  5 11:15:40 2015  commencing in-memory singleton removal
  34. Sat Sep  5 11:15:45 2015  begin with 167533234 relations and 154153966 unique ideals
  35. Sat Sep  5 11:16:50 2015  reduce to 90559044 relations and 67313055 ideals in 18 passes
  36. Sat Sep  5 11:16:50 2015  max relations containing the same ideal: 32
  37. Sat Sep  5 11:16:53 2015  reading ideals above 720000
  38. Sat Sep  5 11:16:53 2015  commencing singleton removal, initial pass
  39. Sat Sep  5 11:26:56 2015  memory use: 2756.0 MB
  40. Sat Sep  5 11:26:56 2015  reading all ideals from disk
  41. Sat Sep  5 11:27:19 2015  memory use: 3591.4 MB
  42. Sat Sep  5 11:27:27 2015  keeping 81887488 ideals with weight <= 200, target excess is 467426
  43. Sat Sep  5 11:27:36 2015  commencing in-memory singleton removal
  44. Sat Sep  5 11:27:42 2015  begin with 90559044 relations and 81887488 unique ideals
  45. Sat Sep  5 11:28:51 2015  reduce to 90556890 relations and 81885334 ideals in 11 passes
  46. Sat Sep  5 11:28:51 2015  max relations containing the same ideal: 200
  47. Sat Sep  5 11:29:23 2015  removing 7776056 relations and 6776056 ideals in 1000000 cliques
  48. Sat Sep  5 11:29:26 2015  commencing in-memory singleton removal
  49. Sat Sep  5 11:29:31 2015  begin with 82780834 relations and 81885334 unique ideals
  50. Sat Sep  5 11:30:21 2015  reduce to 82303352 relations and 74624709 ideals in 9 passes
  51. Sat Sep  5 11:30:21 2015  max relations containing the same ideal: 196
  52. Sat Sep  5 11:30:51 2015  removing 5748584 relations and 4748584 ideals in 1000000 cliques
  53. Sat Sep  5 11:30:53 2015  commencing in-memory singleton removal
  54. Sat Sep  5 11:30:57 2015  begin with 76554768 relations and 74624709 unique ideals
  55. Sat Sep  5 11:31:39 2015  reduce to 76256888 relations and 69574485 ideals in 8 passes
  56. Sat Sep  5 11:31:39 2015  max relations containing the same ideal: 188
  57. Sat Sep  5 11:32:06 2015  removing 5111034 relations and 4111034 ideals in 1000000 cliques
  58. Sat Sep  5 11:32:08 2015  commencing in-memory singleton removal
  59. Sat Sep  5 11:32:12 2015  begin with 71145854 relations and 69574485 unique ideals
  60. Sat Sep  5 11:32:50 2015  reduce to 70892205 relations and 65206615 ideals in 8 passes
  61. Sat Sep  5 11:32:50 2015  max relations containing the same ideal: 181
  62. Sat Sep  5 11:33:15 2015  removing 4761995 relations and 3761995 ideals in 1000000 cliques
  63. Sat Sep  5 11:33:17 2015  commencing in-memory singleton removal
  64. Sat Sep  5 11:33:21 2015  begin with 66130210 relations and 65206615 unique ideals
  65. Sat Sep  5 11:34:01 2015  reduce to 65895996 relations and 61207489 ideals in 9 passes
  66. Sat Sep  5 11:34:01 2015  max relations containing the same ideal: 173
  67. Sat Sep  5 11:34:25 2015  removing 4538339 relations and 3538339 ideals in 1000000 cliques
  68. Sat Sep  5 11:34:27 2015  commencing in-memory singleton removal
  69. Sat Sep  5 11:34:31 2015  begin with 61357657 relations and 61207489 unique ideals
  70. Sat Sep  5 11:34:59 2015  reduce to 61129959 relations and 57438405 ideals in 7 passes
  71. Sat Sep  5 11:34:59 2015  max relations containing the same ideal: 164
  72. Sat Sep  5 11:35:22 2015  removing 4381974 relations and 3381974 ideals in 1000000 cliques
  73. Sat Sep  5 11:35:23 2015  commencing in-memory singleton removal
  74. Sat Sep  5 11:35:27 2015  begin with 56747985 relations and 57438405 unique ideals
  75. Sat Sep  5 11:35:53 2015  reduce to 56520446 relations and 53825663 ideals in 7 passes
  76. Sat Sep  5 11:35:53 2015  max relations containing the same ideal: 155
  77. Sat Sep  5 11:36:13 2015  removing 4263611 relations and 3263611 ideals in 1000000 cliques
  78. Sat Sep  5 11:36:15 2015  commencing in-memory singleton removal
  79. Sat Sep  5 11:36:18 2015  begin with 52256835 relations and 53825663 unique ideals
  80. Sat Sep  5 11:36:46 2015  reduce to 52023004 relations and 50324707 ideals in 8 passes
  81. Sat Sep  5 11:36:46 2015  max relations containing the same ideal: 147
  82. Sat Sep  5 11:37:04 2015  removing 4185482 relations and 3185482 ideals in 1000000 cliques
  83. Sat Sep  5 11:37:06 2015  commencing in-memory singleton removal
  84. Sat Sep  5 11:37:09 2015  begin with 47837522 relations and 50324707 unique ideals
  85. Sat Sep  5 11:37:31 2015  reduce to 47590604 relations and 46888198 ideals in 7 passes
  86. Sat Sep  5 11:37:31 2015  max relations containing the same ideal: 136
  87. Sat Sep  5 11:37:48 2015  removing 918359 relations and 758168 ideals in 160191 cliques
  88. Sat Sep  5 11:37:49 2015  commencing in-memory singleton removal
  89. Sat Sep  5 11:37:52 2015  begin with 46672245 relations and 46888198 unique ideals
  90. Sat Sep  5 11:38:07 2015  reduce to 46660906 relations and 46118659 ideals in 5 passes
  91. Sat Sep  5 11:38:07 2015  max relations containing the same ideal: 134
  92. Sat Sep  5 11:38:16 2015  relations with 0 large ideals: 17824
  93. Sat Sep  5 11:38:16 2015  relations with 1 large ideals: 3948
  94. Sat Sep  5 11:38:16 2015  relations with 2 large ideals: 45665
  95. Sat Sep  5 11:38:16 2015  relations with 3 large ideals: 402725
  96. Sat Sep  5 11:38:16 2015  relations with 4 large ideals: 1953527
  97. Sat Sep  5 11:38:16 2015  relations with 5 large ideals: 5721094
  98. Sat Sep  5 11:38:16 2015  relations with 6 large ideals: 10558365
  99. Sat Sep  5 11:38:16 2015  relations with 7+ large ideals: 27957758
  100. Sat Sep  5 11:38:16 2015  commencing 2-way merge
  101. Sat Sep  5 11:38:38 2015  reduce to 30427064 relation sets and 29884817 unique ideals
  102. Sat Sep  5 11:38:38 2015  commencing full merge
  103. Sat Sep  5 11:48:49 2015  memory use: 3920.2 MB
  104. Sat Sep  5 11:48:51 2015  found 13948143 cycles, need 13931017
  105. Sat Sep  5 11:48:55 2015  weight of 13931017 cycles is about 1560957930 (112.05/cycle)
  106. Sat Sep  5 11:48:55 2015  distribution of cycle lengths:
  107. Sat Sep  5 11:48:55 2015  1 relations: 756118
  108. Sat Sep  5 11:48:55 2015  2 relations: 996718
  109. Sat Sep  5 11:48:55 2015  3 relations: 1121131
  110. Sat Sep  5 11:48:55 2015  4 relations: 1120707
  111. Sat Sep  5 11:48:55 2015  5 relations: 1098756
  112. Sat Sep  5 11:48:55 2015  6 relations: 1046642
  113. Sat Sep  5 11:48:55 2015  7 relations: 984540
  114. Sat Sep  5 11:48:55 2015  8 relations: 920073
  115. Sat Sep  5 11:48:55 2015  9 relations: 846256
  116. Sat Sep  5 11:48:55 2015  10+ relations: 5040076
  117. Sat Sep  5 11:48:55 2015  heaviest cycle: 28 relations
  118. Sat Sep  5 11:48:59 2015  commencing cycle optimization
  119. Sat Sep  5 11:49:21 2015  start with 116384274 relations
  120. Sat Sep  5 11:53:09 2015  pruned 4690372 relations
  121. Sat Sep  5 11:53:09 2015  memory use: 3146.4 MB
  122. Sat Sep  5 11:53:09 2015  distribution of cycle lengths:
  123. Sat Sep  5 11:53:09 2015  1 relations: 756118
  124. Sat Sep  5 11:53:09 2015  2 relations: 1021218
  125. Sat Sep  5 11:53:09 2015  3 relations: 1168611
  126. Sat Sep  5 11:53:09 2015  4 relations: 1163554
  127. Sat Sep  5 11:53:09 2015  5 relations: 1147128
  128. Sat Sep  5 11:53:09 2015  6 relations: 1086766
  129. Sat Sep  5 11:53:09 2015  7 relations: 1023126
  130. Sat Sep  5 11:53:09 2015  8 relations: 949389
  131. Sat Sep  5 11:53:09 2015  9 relations: 872206
  132. Sat Sep  5 11:53:09 2015  10+ relations: 4742901
  133. Sat Sep  5 11:53:09 2015  heaviest cycle: 28 relations
  134. Sat Sep  5 11:53:29 2015  RelProcTime: 4051
  135. Sat Sep  5 11:53:29 2015  
  136. Sat Sep  5 11:53:29 2015  commencing linear algebra
  137. Sat Sep  5 11:53:35 2015  read 13931017 cycles
  138. Sat Sep  5 11:54:00 2015  cycles contain 46365863 unique relations
  139. Sat Sep  5 11:57:33 2015  read 46365863 relations
  140. Sat Sep  5 11:58:43 2015  using 20 quadratic characters above 2147483138
  141. Sat Sep  5 12:01:40 2015  building initial matrix
  142. Sat Sep  5 12:09:54 2015  memory use: 6031.6 MB
  143. Sat Sep  5 12:10:00 2015  read 13931017 cycles
  144. Sat Sep  5 12:10:01 2015  matrix is 13930845 x 13931017 (6132.6 MB) with weight 1762829960 (126.54/col)
  145. Sat Sep  5 12:10:01 2015  sparse part has weight 1468326759 (105.40/col)
  146. Sat Sep  5 12:12:39 2015  filtering completed in 2 passes
  147. Sat Sep  5 12:12:41 2015  matrix is 13930677 x 13930853 (6132.6 MB) with weight 1762823951 (126.54/col)
  148. Sat Sep  5 12:12:41 2015  sparse part has weight 1468324360 (105.40/col)
  149. Sat Sep  5 12:13:54 2015  matrix starts at (0, 0)
  150. Sat Sep  5 12:13:55 2015  matrix is 13930677 x 13930853 (6132.6 MB) with weight 1762823951 (126.54/col)
  151. Sat Sep  5 12:13:55 2015  sparse part has weight 1468324360 (105.40/col)
  152. Sat Sep  5 12:13:55 2015  saving the first 48 matrix rows for later
  153. Sat Sep  5 12:13:57 2015  matrix includes 64 packed rows
  154. Sat Sep  5 12:13:59 2015  matrix is 13930629 x 13930853 (5906.1 MB) with weight 1498314767 (107.55/col)
  155. Sat Sep  5 12:13:59 2015  sparse part has weight 1408933845 (101.14/col)
  156. Sat Sep  5 12:13:59 2015  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  157. Sat Sep  5 12:14:57 2015  commencing Lanczos iteration (4 threads)
  158. Sat Sep  5 12:14:57 2015  memory use: 5054.3 MB
  159. Sat Sep  5 12:16:08 2015  linear algebra at 0.0%, ETA 175h45m
  160. Sat Sep  5 12:16:31 2015  checkpointing every 80000 dimensions
  161. Fri Sep 11 21:08:54 2015  lanczos halted after 220301 iterations (dim = 13930625)
  162. Fri Sep 11 21:09:15 2015  recovered 33 nontrivial dependencies
  163. Fri Sep 11 21:09:15 2015  BLanczosTime: 551746
  164. Fri Sep 11 21:09:15 2015  
  165. Fri Sep 11 21:09:15 2015  commencing square root phase
  166. Fri Sep 11 21:09:15 2015  handling dependencies 1 to 64
  167. Fri Sep 11 21:09:15 2015  reading relations for dependency 1
  168. Fri Sep 11 21:09:20 2015  read 6966321 cycles
  169. Fri Sep 11 21:09:32 2015  cycles contain 23183556 unique relations
  170. Fri Sep 11 21:12:13 2015  read 23183556 relations
  171. Fri Sep 11 21:13:35 2015  multiplying 23183556 relations
  172. Fri Sep 11 21:33:44 2015  multiply complete, coefficients have about 806.52 million bits
  173. Fri Sep 11 21:33:46 2015  initial square root is modulo 17206531
  174. Fri Sep 11 21:55:57 2015  sqrtTime: 2802
  175. Fri Sep 11 21:55:57 2015  prp113 factor: 98007404288667257665201756703850660860145653700509723165168324559248220938400368751852645610299258746775894305591
  176. Fri Sep 11 21:55:57 2015  prp120 factor: 652005757686282770766921398111561193993100242401264494276015065987889962575467031407110860643363199373850245484316870739
  177. Fri Sep 11 21:55:57 2015  elapsed time 155:10:02
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