mersenneforum

C192_130_49

May 9th, 2016
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  1. Sat May 7 21:17:01 2016
  2. Sat May 7 21:17:01 2016 Msieve v. 1.53 (SVN unknown)
  3. Sat May 7 21:17:01 2016 random seeds: 495af8d1 f8521002
  4. Sat May 7 21:17:01 2016 factoring 292719134127743055675330325859181076120588464897002922468297135925624648390273086312489431751189693989430076728932003925514252831998307203021610140408876622879967187531424224654603326429893883 (192 digits)
  5. Sat May 7 21:17:03 2016 searching for 15-digit factors
  6. Sat May 7 21:17:04 2016 commencing number field sieve (192-digit input)
  7. Sat May 7 21:17:04 2016 R0: 2183814375991796599109312252753832343
  8. Sat May 7 21:17:04 2016 R1: -81573072100000000
  9. Sat May 7 21:17:04 2016 A0: 130
  10. Sat May 7 21:17:04 2016 A1: 0
  11. Sat May 7 21:17:04 2016 A2: 0
  12. Sat May 7 21:17:04 2016 A3: 0
  13. Sat May 7 21:17:04 2016 A4: 0
  14. Sat May 7 21:17:04 2016 A5: 0
  15. Sat May 7 21:17:04 2016 A6: 49
  16. Sat May 7 21:17:04 2016 skew 1.18, size 2.625e-11, alpha 2.124, combined = 1.313e-12 rroots = 0
  17. Sat May 7 21:17:04 2016
  18. Sat May 7 21:17:04 2016 commencing relation filtering
  19. Sat May 7 21:17:04 2016 estimated available RAM is 16031.0 MB
  20. Sat May 7 21:17:04 2016 commencing duplicate removal, pass 1
  21. Sat May 7 21:26:13 2016 error -15 reading relation 55914711
  22. Sat May 7 21:26:18 2016 error -15 reading relation 56387382
  23. Sat May 7 21:32:58 2016 error -9 reading relation 95752319
  24. Sat May 7 21:32:58 2016 error -1 reading relation 95761927
  25. Sat May 7 21:33:43 2016 error -5 reading relation 102054415
  26. Sat May 7 21:33:51 2016 error -5 reading relation 103103262
  27. Sat May 7 21:34:15 2016 error -15 reading relation 105989330
  28. Sat May 7 21:35:24 2016 error -9 reading relation 114005205
  29. Sat May 7 21:35:24 2016 error -9 reading relation 114010552
  30. Sat May 7 21:35:30 2016 error -15 reading relation 114683841
  31. Sat May 7 21:35:51 2016 error -9 reading relation 117268178
  32. Sat May 7 21:35:56 2016 error -9 reading relation 117811766
  33. Sat May 7 21:35:57 2016 skipped 8 relations with b > 2^32
  34. Sat May 7 21:35:57 2016 skipped 7 relations with composite factors
  35. Sat May 7 21:35:57 2016 found 20140422 hash collisions in 117956541 relations
  36. Sat May 7 21:36:15 2016 added 1219041 free relations
  37. Sat May 7 21:36:15 2016 commencing duplicate removal, pass 2
  38. Sat May 7 21:37:01 2016 found 18350802 duplicates and 100824780 unique relations
  39. Sat May 7 21:37:01 2016 memory use: 660.8 MB
  40. Sat May 7 21:37:01 2016 reading ideals above 81854464
  41. Sat May 7 21:37:01 2016 commencing singleton removal, initial pass
  42. Sat May 7 21:47:13 2016 memory use: 1506.0 MB
  43. Sat May 7 21:47:14 2016 reading all ideals from disk
  44. Sat May 7 21:47:27 2016 memory use: 1681.8 MB
  45. Sat May 7 21:47:31 2016 commencing in-memory singleton removal
  46. Sat May 7 21:47:34 2016 begin with 100824780 relations and 81313600 unique ideals
  47. Sat May 7 21:48:07 2016 reduce to 66435996 relations and 43471961 ideals in 13 passes
  48. Sat May 7 21:48:07 2016 max relations containing the same ideal: 39
  49. Sat May 7 21:48:09 2016 reading ideals above 720000
  50. Sat May 7 21:48:09 2016 commencing singleton removal, initial pass
  51. Sat May 7 21:55:57 2016 memory use: 1378.0 MB
  52. Sat May 7 21:55:57 2016 reading all ideals from disk
  53. Sat May 7 21:56:03 2016 memory use: 2484.9 MB
  54. Sat May 7 21:56:11 2016 keeping 52667534 ideals with weight <= 200, target excess is 343440
  55. Sat May 7 21:56:17 2016 commencing in-memory singleton removal
  56. Sat May 7 21:56:23 2016 begin with 66435997 relations and 52667534 unique ideals
  57. Sat May 7 21:56:58 2016 reduce to 66432977 relations and 52664512 ideals in 7 passes
  58. Sat May 7 21:56:58 2016 max relations containing the same ideal: 200
  59. Sat May 7 21:57:25 2016 removing 8596859 relations and 6596859 ideals in 2000000 cliques
  60. Sat May 7 21:57:27 2016 commencing in-memory singleton removal
  61. Sat May 7 21:57:31 2016 begin with 57836118 relations and 52664512 unique ideals
  62. Sat May 7 21:57:59 2016 reduce to 56941792 relations and 45140573 ideals in 8 passes
  63. Sat May 7 21:57:59 2016 max relations containing the same ideal: 191
  64. Sat May 7 21:58:20 2016 removing 6875172 relations and 4875172 ideals in 2000000 cliques
  65. Sat May 7 21:58:22 2016 commencing in-memory singleton removal
  66. Sat May 7 21:58:26 2016 begin with 50066620 relations and 45140573 unique ideals
  67. Sat May 7 21:58:53 2016 reduce to 49432650 relations and 39609520 ideals in 9 passes
  68. Sat May 7 21:58:53 2016 max relations containing the same ideal: 175
  69. Sat May 7 21:59:11 2016 removing 6370553 relations and 4370553 ideals in 2000000 cliques
  70. Sat May 7 21:59:13 2016 commencing in-memory singleton removal
  71. Sat May 7 21:59:16 2016 begin with 43062097 relations and 39609520 unique ideals
  72. Sat May 7 21:59:36 2016 reduce to 42479164 relations and 34634099 ideals in 8 passes
  73. Sat May 7 21:59:36 2016 max relations containing the same ideal: 157
  74. Sat May 7 21:59:52 2016 removing 6113464 relations and 4113464 ideals in 2000000 cliques
  75. Sat May 7 21:59:54 2016 commencing in-memory singleton removal
  76. Sat May 7 21:59:56 2016 begin with 36365700 relations and 34634099 unique ideals
  77. Sat May 7 22:00:13 2016 reduce to 35783247 relations and 29913926 ideals in 8 passes
  78. Sat May 7 22:00:13 2016 max relations containing the same ideal: 140
  79. Sat May 7 22:00:27 2016 removing 5949278 relations and 3949278 ideals in 2000000 cliques
  80. Sat May 7 22:00:29 2016 commencing in-memory singleton removal
  81. Sat May 7 22:00:30 2016 begin with 29833969 relations and 29913926 unique ideals
  82. Sat May 7 22:00:43 2016 reduce to 29222825 relations and 25323888 ideals in 7 passes
  83. Sat May 7 22:00:43 2016 max relations containing the same ideal: 126
  84. Sat May 7 22:00:55 2016 removing 5817785 relations and 3817785 ideals in 2000000 cliques
  85. Sat May 7 22:00:56 2016 commencing in-memory singleton removal
  86. Sat May 7 22:00:58 2016 begin with 23405040 relations and 25323888 unique ideals
  87. Sat May 7 22:01:10 2016 reduce to 22727168 relations and 20788252 ideals in 9 passes
  88. Sat May 7 22:01:10 2016 max relations containing the same ideal: 106
  89. Sat May 7 22:01:18 2016 removing 4583798 relations and 3043273 ideals in 1540525 cliques
  90. Sat May 7 22:01:19 2016 commencing in-memory singleton removal
  91. Sat May 7 22:01:20 2016 begin with 18143370 relations and 20788252 unique ideals
  92. Sat May 7 22:01:28 2016 reduce to 17590521 relations and 17159043 ideals in 8 passes
  93. Sat May 7 22:01:28 2016 max relations containing the same ideal: 89
  94. Sat May 7 22:01:35 2016 removing 192637 relations and 159550 ideals in 33087 cliques
  95. Sat May 7 22:01:36 2016 commencing in-memory singleton removal
  96. Sat May 7 22:01:37 2016 begin with 17397884 relations and 17159043 unique ideals
  97. Sat May 7 22:01:41 2016 reduce to 17396374 relations and 16997980 ideals in 5 passes
  98. Sat May 7 22:01:41 2016 max relations containing the same ideal: 89
  99. Sat May 7 22:01:44 2016 relations with 0 large ideals: 12342
  100. Sat May 7 22:01:44 2016 relations with 1 large ideals: 5408
  101. Sat May 7 22:01:44 2016 relations with 2 large ideals: 49934
  102. Sat May 7 22:01:44 2016 relations with 3 large ideals: 361761
  103. Sat May 7 22:01:44 2016 relations with 4 large ideals: 1402377
  104. Sat May 7 22:01:44 2016 relations with 5 large ideals: 3215937
  105. Sat May 7 22:01:44 2016 relations with 6 large ideals: 4588066
  106. Sat May 7 22:01:44 2016 relations with 7+ large ideals: 7760549
  107. Sat May 7 22:01:44 2016 commencing 2-way merge
  108. Sat May 7 22:01:52 2016 reduce to 11816199 relation sets and 11417805 unique ideals
  109. Sat May 7 22:01:52 2016 commencing full merge
  110. Sat May 7 22:04:05 2016 memory use: 1427.7 MB
  111. Sat May 7 22:04:06 2016 found 6418625 cycles, need 6364005
  112. Sat May 7 22:04:07 2016 weight of 6364005 cycles is about 445517333 (70.01/cycle)
  113. Sat May 7 22:04:07 2016 distribution of cycle lengths:
  114. Sat May 7 22:04:07 2016 1 relations: 591144
  115. Sat May 7 22:04:07 2016 2 relations: 763971
  116. Sat May 7 22:04:07 2016 3 relations: 832015
  117. Sat May 7 22:04:07 2016 4 relations: 809698
  118. Sat May 7 22:04:07 2016 5 relations: 756256
  119. Sat May 7 22:04:07 2016 6 relations: 654363
  120. Sat May 7 22:04:07 2016 7 relations: 537276
  121. Sat May 7 22:04:07 2016 8 relations: 417994
  122. Sat May 7 22:04:07 2016 9 relations: 314263
  123. Sat May 7 22:04:07 2016 10+ relations: 687025
  124. Sat May 7 22:04:07 2016 heaviest cycle: 19 relations
  125. Sat May 7 22:04:09 2016 commencing cycle optimization
  126. Sat May 7 22:04:16 2016 start with 33487492 relations
  127. Sat May 7 22:04:49 2016 pruned 967000 relations
  128. Sat May 7 22:04:49 2016 memory use: 1073.5 MB
  129. Sat May 7 22:04:49 2016 distribution of cycle lengths:
  130. Sat May 7 22:04:49 2016 1 relations: 591144
  131. Sat May 7 22:04:49 2016 2 relations: 780529
  132. Sat May 7 22:04:49 2016 3 relations: 864704
  133. Sat May 7 22:04:49 2016 4 relations: 836066
  134. Sat May 7 22:04:49 2016 5 relations: 783349
  135. Sat May 7 22:04:49 2016 6 relations: 668029
  136. Sat May 7 22:04:49 2016 7 relations: 541695
  137. Sat May 7 22:04:49 2016 8 relations: 411250
  138. Sat May 7 22:04:49 2016 9 relations: 301485
  139. Sat May 7 22:04:49 2016 10+ relations: 585754
  140. Sat May 7 22:04:49 2016 heaviest cycle: 19 relations
  141. Sat May 7 22:04:57 2016 RelProcTime: 2873
  142. Sat May 7 22:04:57 2016
  143. Sat May 7 22:04:57 2016 commencing linear algebra
  144. Sat May 7 22:05:00 2016 read 6364005 cycles
  145. Sat May 7 22:05:07 2016 cycles contain 17193991 unique relations
  146. Sat May 7 22:07:35 2016 read 17193991 relations
  147. Sat May 7 22:07:49 2016 using 20 quadratic characters above 4294917295
  148. Sat May 7 22:08:50 2016 building initial matrix
  149. Sat May 7 22:10:52 2016 memory use: 2173.2 MB
  150. Sat May 7 22:10:54 2016 read 6364005 cycles
  151. Sat May 7 22:10:55 2016 matrix is 6363828 x 6364005 (1878.8 MB) with weight 542668129 (85.27/col)
  152. Sat May 7 22:10:55 2016 sparse part has weight 428866078 (67.39/col)
  153. Sat May 7 22:11:31 2016 filtering completed in 2 passes
  154. Sat May 7 22:11:31 2016 matrix is 6363051 x 6363228 (1878.7 MB) with weight 542648333 (85.28/col)
  155. Sat May 7 22:11:31 2016 sparse part has weight 428859936 (67.40/col)
  156. Sat May 7 22:11:40 2016 matrix starts at (0, 0)
  157. Sat May 7 22:11:41 2016 matrix is 6363051 x 6363228 (1878.7 MB) with weight 542648333 (85.28/col)
  158. Sat May 7 22:11:41 2016 sparse part has weight 428859936 (67.40/col)
  159. Sat May 7 22:11:41 2016 saving the first 48 matrix rows for later
  160. Sat May 7 22:11:41 2016 matrix includes 64 packed rows
  161. Sat May 7 22:11:42 2016 matrix is 6363003 x 6363228 (1797.1 MB) with weight 436664232 (68.62/col)
  162. Sat May 7 22:11:42 2016 sparse part has weight 407464784 (64.03/col)
  163. Sat May 7 22:11:42 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  164. Sat May 7 22:11:56 2016 commencing Lanczos iteration (4 threads)
  165. Sat May 7 22:12:02 2016 memory use: 1480.0 MB
  166. Sat May 7 22:12:35 2016 linear algebra at 0.0%, ETA 37h18m
  167. Sat May 7 22:12:45 2016 checkpointing every 180000 dimensions
  168. Sun May 8 16:20:44 2016 lanczos halted after 100625 iterations (dim = 6363000)
  169. Sun May 8 16:20:48 2016 recovered 37 nontrivial dependencies
  170. Sun May 8 16:20:48 2016 BLanczosTime: 65751
  171. Sun May 8 16:20:48 2016
  172. Sun May 8 16:20:48 2016 commencing square root phase
  173. Sun May 8 16:20:48 2016 handling dependencies 1 to 64
  174. Sun May 8 16:20:48 2016 reading relations for dependency 1
  175. Sun May 8 16:20:49 2016 read 3182065 cycles
  176. Sun May 8 16:20:52 2016 cycles contain 8597878 unique relations
  177. Sun May 8 16:23:04 2016 read 8597878 relations
  178. Sun May 8 16:23:32 2016 multiplying 8597878 relations
  179. Sun May 8 16:28:16 2016 multiply complete, coefficients have about 259.53 million bits
  180. Sun May 8 16:28:16 2016 initial square root is modulo 2059020577
  181. Sun May 8 16:33:30 2016 sqrtTime: 762
  182. Sun May 8 16:33:30 2016 p60 factor: 859828191289732903798024854361800672974659287280074099226243
  183. Sun May 8 16:33:30 2016 p132 factor: 340439098290866165797925636315217715128285732890501776513482049426897396214135032352467575953045169784990881937243429704229945597481
  184. Sun May 8 16:33:30 2016 elapsed time 19:16:29
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