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C190_125_68

CarlosPinho Jun 5th, 2016 70 Never
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  1. Fri May 20 18:56:20 2016  Msieve v. 1.53 (SVN Unversioned directory)
  2. Fri May 20 18:56:20 2016  random seeds: 264774e3 c5317bbf
  3. Fri May 20 18:56:20 2016  factoring 2045334897204996663165494748012110909972744068199100259394889493008253185525493860797045991190268958805524632894735350480732326124497408115343232270267700492689246338359206678216334083289849 (190 digits)
  4. Fri May 20 18:56:21 2016  searching for 15-digit factors
  5. Fri May 20 18:56:22 2016  commencing number field sieve (190-digit input)
  6. Fri May 20 18:56:22 2016  R0: 303869538891536196286006028740295917568
  7. Fri May 20 18:56:22 2016  R1: -582076609134674072265625
  8. Fri May 20 18:56:22 2016  A0: 68
  9. Fri May 20 18:56:22 2016  A1: 0
  10. Fri May 20 18:56:22 2016  A2: 0
  11. Fri May 20 18:56:22 2016  A3: 0
  12. Fri May 20 18:56:22 2016  A4: 0
  13. Fri May 20 18:56:22 2016  A5: 0
  14. Fri May 20 18:56:22 2016  A6: 1
  15. Fri May 20 18:56:22 2016  skew 2.02, size 1.486e-11, alpha 1.722, combined = 8.632e-13 rroots = 0
  16. Fri May 20 18:56:22 2016  
  17. Fri May 20 18:56:22 2016  commencing relation filtering
  18. Fri May 20 18:56:22 2016  setting target matrix density to 116.0
  19. Fri May 20 18:56:22 2016  estimated available RAM is 16039.4 MB
  20. Fri May 20 18:56:22 2016  commencing duplicate removal, pass 1
  21. Fri May 20 18:57:28 2016  error -9 reading relation 7274231
  22. Fri May 20 18:57:29 2016  error -9 reading relation 7331192
  23. Fri May 20 19:00:17 2016  error -15 reading relation 25795519
  24. Fri May 20 19:00:27 2016  error -9 reading relation 27021954
  25. Fri May 20 19:00:31 2016  error -9 reading relation 27556601
  26. Fri May 20 19:00:59 2016  error -15 reading relation 31056805
  27. Fri May 20 19:07:11 2016  error -1 reading relation 69490375
  28. Fri May 20 19:08:05 2016  error -15 reading relation 77145459
  29. Fri May 20 19:08:17 2016  error -15 reading relation 78766749
  30. Fri May 20 19:08:18 2016  error -9 reading relation 78962745
  31. Fri May 20 19:08:18 2016  error -15 reading relation 79010804
  32. Fri May 20 19:08:19 2016  error -15 reading relation 79083812
  33. Fri May 20 19:08:19 2016  error -5 reading relation 79103267
  34. Fri May 20 19:10:24 2016  error -1 reading relation 95885062
  35. Fri May 20 19:11:31 2016  error -9 reading relation 103472367
  36. Fri May 20 19:11:32 2016  error -9 reading relation 103653396
  37. Fri May 20 19:11:50 2016  error -9 reading relation 105438667
  38. Fri May 20 19:11:51 2016  error -5 reading relation 105611823
  39. Fri May 20 19:11:53 2016  error -1 reading relation 105833863
  40. Fri May 20 19:11:55 2016  error -15 reading relation 106174698
  41. Fri May 20 19:12:42 2016  skipped 5 relations with b > 2^32
  42. Fri May 20 19:12:42 2016  skipped 11 relations with composite factors
  43. Fri May 20 19:12:42 2016  found 20499215 hash collisions in 111539247 relations
  44. Fri May 20 19:12:53 2016  commencing duplicate removal, pass 2
  45. Fri May 20 19:13:25 2016  found 19601033 duplicates and 91938214 unique relations
  46. Fri May 20 19:13:25 2016  memory use: 660.8 MB
  47. Fri May 20 19:13:25 2016  reading ideals above 97845248
  48. Fri May 20 19:13:25 2016  commencing singleton removal, initial pass
  49. Fri May 20 19:21:16 2016  memory use: 1506.0 MB
  50. Fri May 20 19:21:16 2016  reading all ideals from disk
  51. Fri May 20 19:21:18 2016  memory use: 1500.3 MB
  52. Fri May 20 19:21:21 2016  commencing in-memory singleton removal
  53. Fri May 20 19:21:23 2016  begin with 91938214 relations and 77934314 unique ideals
  54. Fri May 20 19:21:55 2016  reduce to 54711056 relations and 36409166 ideals in 16 passes
  55. Fri May 20 19:21:55 2016  max relations containing the same ideal: 35
  56. Fri May 20 19:21:58 2016  reading ideals above 720000
  57. Fri May 20 19:21:58 2016  commencing singleton removal, initial pass
  58. Fri May 20 19:28:24 2016  memory use: 1378.0 MB
  59. Fri May 20 19:28:24 2016  reading all ideals from disk
  60. Fri May 20 19:28:37 2016  memory use: 2069.8 MB
  61. Fri May 20 19:28:42 2016  keeping 47409078 ideals with weight <= 200, target excess is 284605
  62. Fri May 20 19:28:47 2016  commencing in-memory singleton removal
  63. Fri May 20 19:28:51 2016  begin with 54711057 relations and 47409078 unique ideals
  64. Fri May 20 19:29:25 2016  reduce to 54676637 relations and 47374622 ideals in 8 passes
  65. Fri May 20 19:29:25 2016  max relations containing the same ideal: 200
  66. Fri May 20 19:29:47 2016  removing 5888912 relations and 4888912 ideals in 1000000 cliques
  67. Fri May 20 19:29:49 2016  commencing in-memory singleton removal
  68. Fri May 20 19:29:52 2016  begin with 48787725 relations and 47374622 unique ideals
  69. Fri May 20 19:30:26 2016  reduce to 48270722 relations and 41956321 ideals in 11 passes
  70. Fri May 20 19:30:26 2016  max relations containing the same ideal: 194
  71. Fri May 20 19:30:42 2016  removing 4552087 relations and 3552087 ideals in 1000000 cliques
  72. Fri May 20 19:30:44 2016  commencing in-memory singleton removal
  73. Fri May 20 19:30:46 2016  begin with 43718635 relations and 41956321 unique ideals
  74. Fri May 20 19:31:08 2016  reduce to 43382852 relations and 38061424 ideals in 8 passes
  75. Fri May 20 19:31:08 2016  max relations containing the same ideal: 180
  76. Fri May 20 19:31:23 2016  removing 4130354 relations and 3130354 ideals in 1000000 cliques
  77. Fri May 20 19:31:24 2016  commencing in-memory singleton removal
  78. Fri May 20 19:31:27 2016  begin with 39252498 relations and 38061424 unique ideals
  79. Fri May 20 19:31:44 2016  reduce to 38954843 relations and 34626893 ideals in 7 passes
  80. Fri May 20 19:31:44 2016  max relations containing the same ideal: 170
  81. Fri May 20 19:31:57 2016  removing 3907408 relations and 2907408 ideals in 1000000 cliques
  82. Fri May 20 19:31:58 2016  commencing in-memory singleton removal
  83. Fri May 20 19:32:00 2016  begin with 35047435 relations and 34626893 unique ideals
  84. Fri May 20 19:32:15 2016  reduce to 34760234 relations and 31425742 ideals in 7 passes
  85. Fri May 20 19:32:15 2016  max relations containing the same ideal: 157
  86. Fri May 20 19:32:27 2016  removing 3762627 relations and 2762627 ideals in 1000000 cliques
  87. Fri May 20 19:32:28 2016  commencing in-memory singleton removal
  88. Fri May 20 19:32:30 2016  begin with 30997607 relations and 31425742 unique ideals
  89. Fri May 20 19:32:47 2016  reduce to 30707435 relations and 28365730 ideals in 9 passes
  90. Fri May 20 19:32:47 2016  max relations containing the same ideal: 145
  91. Fri May 20 19:32:58 2016  removing 3658221 relations and 2658221 ideals in 1000000 cliques
  92. Fri May 20 19:32:59 2016  commencing in-memory singleton removal
  93. Fri May 20 19:33:00 2016  begin with 27049214 relations and 28365730 unique ideals
  94. Fri May 20 19:33:13 2016  reduce to 26747623 relations and 25397463 ideals in 8 passes
  95. Fri May 20 19:33:13 2016  max relations containing the same ideal: 129
  96. Fri May 20 19:33:22 2016  removing 3582654 relations and 2582654 ideals in 1000000 cliques
  97. Fri May 20 19:33:23 2016  commencing in-memory singleton removal
  98. Fri May 20 19:33:25 2016  begin with 23164969 relations and 25397463 unique ideals
  99. Fri May 20 19:33:36 2016  reduce to 22834929 relations and 22474308 ideals in 8 passes
  100. Fri May 20 19:33:36 2016  max relations containing the same ideal: 121
  101. Fri May 20 19:33:44 2016  removing 199231 relations and 168752 ideals in 30479 cliques
  102. Fri May 20 19:33:44 2016  commencing in-memory singleton removal
  103. Fri May 20 19:33:45 2016  begin with 22635698 relations and 22474308 unique ideals
  104. Fri May 20 19:33:52 2016  reduce to 22634705 relations and 22304562 ideals in 5 passes
  105. Fri May 20 19:33:52 2016  max relations containing the same ideal: 119
  106. Fri May 20 19:33:57 2016  relations with 0 large ideals: 10640
  107. Fri May 20 19:33:57 2016  relations with 1 large ideals: 2457
  108. Fri May 20 19:33:57 2016  relations with 2 large ideals: 24427
  109. Fri May 20 19:33:57 2016  relations with 3 large ideals: 215382
  110. Fri May 20 19:33:57 2016  relations with 4 large ideals: 1027570
  111. Fri May 20 19:33:57 2016  relations with 5 large ideals: 2948440
  112. Fri May 20 19:33:57 2016  relations with 6 large ideals: 5287604
  113. Fri May 20 19:33:57 2016  relations with 7+ large ideals: 13118185
  114. Fri May 20 19:33:57 2016  commencing 2-way merge
  115. Fri May 20 19:34:07 2016  reduce to 14957546 relation sets and 14627403 unique ideals
  116. Fri May 20 19:34:07 2016  commencing full merge
  117. Fri May 20 19:39:11 2016  memory use: 2005.1 MB
  118. Fri May 20 19:39:12 2016  found 6831030 cycles, need 6829603
  119. Fri May 20 19:39:14 2016  weight of 6829603 cycles is about 792300856 (116.01/cycle)
  120. Fri May 20 19:39:14 2016  distribution of cycle lengths:
  121. Fri May 20 19:39:14 2016  1 relations: 269530
  122. Fri May 20 19:39:14 2016  2 relations: 432313
  123. Fri May 20 19:39:14 2016  3 relations: 513540
  124. Fri May 20 19:39:14 2016  4 relations: 527295
  125. Fri May 20 19:39:14 2016  5 relations: 532124
  126. Fri May 20 19:39:14 2016  6 relations: 516612
  127. Fri May 20 19:39:14 2016  7 relations: 499257
  128. Fri May 20 19:39:14 2016  8 relations: 469536
  129. Fri May 20 19:39:14 2016  9 relations: 434950
  130. Fri May 20 19:39:14 2016  10+ relations: 2634446
  131. Fri May 20 19:39:14 2016  heaviest cycle: 28 relations
  132. Fri May 20 19:39:15 2016  commencing cycle optimization
  133. Fri May 20 19:39:27 2016  start with 59816614 relations
  134. Fri May 20 19:41:21 2016  pruned 2696050 relations
  135. Fri May 20 19:41:21 2016  memory use: 1563.9 MB
  136. Fri May 20 19:41:21 2016  distribution of cycle lengths:
  137. Fri May 20 19:41:21 2016  1 relations: 269530
  138. Fri May 20 19:41:21 2016  2 relations: 442951
  139. Fri May 20 19:41:21 2016  3 relations: 536179
  140. Fri May 20 19:41:21 2016  4 relations: 549537
  141. Fri May 20 19:41:21 2016  5 relations: 558383
  142. Fri May 20 19:41:21 2016  6 relations: 540145
  143. Fri May 20 19:41:21 2016  7 relations: 523580
  144. Fri May 20 19:41:21 2016  8 relations: 488326
  145. Fri May 20 19:41:21 2016  9 relations: 452003
  146. Fri May 20 19:41:21 2016  10+ relations: 2468969
  147. Fri May 20 19:41:21 2016  heaviest cycle: 28 relations
  148. Fri May 20 19:41:32 2016  RelProcTime: 2710
  149. Fri May 20 19:41:32 2016  
  150. Fri May 20 19:41:32 2016  commencing linear algebra
  151. Fri May 20 19:41:32 2016  read 6829603 cycles
  152. Fri May 20 19:41:43 2016  cycles contain 22456184 unique relations
  153. Fri May 20 19:43:57 2016  read 22456184 relations
  154. Fri May 20 19:44:21 2016  using 20 quadratic characters above 4294917295
  155. Fri May 20 19:45:48 2016  building initial matrix
  156. Fri May 20 19:49:19 2016  memory use: 2838.0 MB
  157. Fri May 20 19:49:21 2016  read 6829603 cycles
  158. Fri May 20 19:49:22 2016  matrix is 6829426 x 6829603 (3082.8 MB) with weight 881885067 (129.13/col)
  159. Fri May 20 19:49:22 2016  sparse part has weight 739843696 (108.33/col)
  160. Fri May 20 19:50:27 2016  filtering completed in 2 passes
  161. Fri May 20 19:50:28 2016  matrix is 6829405 x 6829582 (3082.8 MB) with weight 881884427 (129.13/col)
  162. Fri May 20 19:50:28 2016  sparse part has weight 739843512 (108.33/col)
  163. Fri May 20 19:51:02 2016  matrix starts at (0, 0)
  164. Fri May 20 19:51:03 2016  matrix is 6829405 x 6829582 (3082.8 MB) with weight 881884427 (129.13/col)
  165. Fri May 20 19:51:03 2016  sparse part has weight 739843512 (108.33/col)
  166. Fri May 20 19:51:03 2016  saving the first 48 matrix rows for later
  167. Fri May 20 19:51:04 2016  matrix includes 64 packed rows
  168. Fri May 20 19:51:05 2016  matrix is 6829357 x 6829582 (2965.8 MB) with weight 754581648 (110.49/col)
  169. Fri May 20 19:51:05 2016  sparse part has weight 709181606 (103.84/col)
  170. Fri May 20 19:51:05 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  171. Fri May 20 19:51:29 2016  commencing Lanczos iteration (4 threads)
  172. Fri May 20 19:51:29 2016  memory use: 2504.9 MB
  173. Fri May 20 19:51:55 2016  linear algebra at 0.0%, ETA 31h11m
  174. Fri May 20 19:52:04 2016  checkpointing every 220000 dimensions
  175. Sun May 22 05:23:36 2016  lanczos halted after 108003 iterations (dim = 6829355)
  176. Sun May 22 05:23:46 2016  recovered 40 nontrivial dependencies
  177. Sun May 22 05:23:46 2016  BLanczosTime: 121334
  178. Sun May 22 05:23:46 2016  
  179. Sun May 22 05:23:46 2016  commencing square root phase
  180. Sun May 22 05:23:46 2016  handling dependencies 1 to 64
  181. Sun May 22 05:23:46 2016  reading relations for dependency 1
  182. Sun May 22 05:23:47 2016  read 3415559 cycles
  183. Sun May 22 05:23:52 2016  cycles contain 11227126 unique relations
  184. Sun May 22 05:25:46 2016  read 11227126 relations
  185. Sun May 22 05:26:21 2016  multiplying 11227126 relations
  186. Sun May 22 05:32:16 2016  multiply complete, coefficients have about 281.86 million bits
  187. Sun May 22 05:32:17 2016  initial square root is modulo 114217
  188. Sun May 22 05:38:50 2016  GCD is N, no factor found
  189. Sun May 22 05:38:50 2016  reading relations for dependency 2
  190. Sun May 22 05:38:50 2016  read 3413431 cycles
  191. Sun May 22 05:38:56 2016  cycles contain 11225480 unique relations
  192. Sun May 22 05:40:36 2016  read 11225480 relations
  193. Sun May 22 05:41:11 2016  multiplying 11225480 relations
  194. Sun May 22 05:47:06 2016  multiply complete, coefficients have about 281.81 million bits
  195. Sun May 22 05:47:07 2016  initial square root is modulo 113947
  196. Sun May 22 05:53:39 2016  sqrtTime: 1793
  197. Sun May 22 05:53:39 2016  p77 factor: 18679178836466448763557547493236927177178335412631736461374200583749417628789
  198. Sun May 22 05:53:39 2016  p114 factor: 109498116331109224901848268345589258050582247313726857740563854480158487615050439828233816006118444336336096535541
  199. Sun May 22 05:53:39 2016  elapsed time 34:57:19
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