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C218_137_42

CarlosPinho Jun 1st, 2016 30 Never
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  1. Tue May 10 23:30:39 2016  Msieve v. 1.52 (SVN exported)
  2. Tue May 10 23:30:39 2016  random seeds: cfb2b122 bc8f27d5
  3. Tue May 10 23:30:39 2016  factoring 20226674819339494580840075584164398856904711764676768055412839327078813167544777752682477692615575006546685160479513376020436964749798002691382988911626020609329153043391371301640174165894148983686492117886065733186517 (218 digits)
  4. Tue May 10 23:30:42 2016  searching for 15-digit factors
  5. Tue May 10 23:30:44 2016  commencing number field sieve (218-digit input)
  6. Tue May 10 23:30:44 2016  R0: 21613926941579800829422581272845221888
  7. Tue May 10 23:30:44 2016  R1: -905824306333433
  8. Tue May 10 23:30:44 2016  A0: 42
  9. Tue May 10 23:30:44 2016  A1: 0
  10. Tue May 10 23:30:44 2016  A2: 0
  11. Tue May 10 23:30:44 2016  A3: 0
  12. Tue May 10 23:30:44 2016  A4: 0
  13. Tue May 10 23:30:44 2016  A5: 0
  14. Tue May 10 23:30:44 2016  A6: 1
  15. Tue May 10 23:30:44 2016  skew 1.86, size 4.728e-11, alpha 0.514, combined = 1.969e-12 rroots = 0
  16. Tue May 10 23:30:44 2016  
  17. Tue May 10 23:30:44 2016  commencing relation filtering
  18. Tue May 10 23:30:44 2016  setting target matrix density to 120.0
  19. Tue May 10 23:30:44 2016  estimated available RAM is 64392.0 MB
  20. Tue May 10 23:30:44 2016  commencing duplicate removal, pass 1
  21. Tue May 10 23:35:46 2016  error -9 reading relation 15171914
  22. Tue May 10 23:35:47 2016  error -1 reading relation 15174759
  23. Tue May 10 23:45:33 2016  error -15 reading relation 45467963
  24. Tue May 10 23:48:40 2016  error -1 reading relation 54981056
  25. Tue May 10 23:48:40 2016  error -9 reading relation 54981592
  26. Tue May 10 23:53:43 2016  error -15 reading relation 70794306
  27. Wed May 11 00:01:19 2016  error -1 reading relation 94305625
  28. Wed May 11 00:01:20 2016  error -15 reading relation 94352534
  29. Wed May 11 00:02:09 2016  error -15 reading relation 96947861
  30. Wed May 11 00:03:47 2016  error -15 reading relation 101985702
  31. Wed May 11 00:04:12 2016  error -9 reading relation 103174751
  32. Wed May 11 00:04:12 2016  error -15 reading relation 103187253
  33. Wed May 11 00:06:07 2016  error -15 reading relation 108903393
  34. Wed May 11 00:06:09 2016  error -15 reading relation 108989233
  35. Wed May 11 00:06:12 2016  error -15 reading relation 109154747
  36. Wed May 11 00:06:36 2016  error -11 reading relation 110282806
  37. Wed May 11 00:09:09 2016  skipped 3 relations with b > 2^32
  38. Wed May 11 00:09:09 2016  found 17683133 hash collisions in 118365092 relations
  39. Wed May 11 00:09:39 2016  added 1218918 free relations
  40. Wed May 11 00:09:39 2016  commencing duplicate removal, pass 2
  41. Wed May 11 00:28:34 2016  found 15012512 duplicates and 104571498 unique relations
  42. Wed May 11 00:28:34 2016  memory use: 660.8 MB
  43. Wed May 11 00:28:34 2016  reading ideals above 720000
  44. Wed May 11 00:28:34 2016  commencing singleton removal, initial pass
  45. Wed May 11 01:11:02 2016  memory use: 2756.0 MB
  46. Wed May 11 01:11:03 2016  reading all ideals from disk
  47. Wed May 11 01:11:06 2016  memory use: 3876.4 MB
  48. Wed May 11 01:11:22 2016  keeping 90827544 ideals with weight <= 200, target excess is 526877
  49. Wed May 11 01:11:41 2016  commencing in-memory singleton removal
  50. Wed May 11 01:11:54 2016  begin with 104571498 relations and 90827544 unique ideals
  51. Wed May 11 01:14:00 2016  reduce to 71036744 relations and 54086185 ideals in 12 passes
  52. Wed May 11 01:14:00 2016  max relations containing the same ideal: 161
  53. Wed May 11 01:14:48 2016  removing 8277200 relations and 6277200 ideals in 2000000 cliques
  54. Wed May 11 01:14:51 2016  commencing in-memory singleton removal
  55. Wed May 11 01:14:59 2016  begin with 62759544 relations and 54086185 unique ideals
  56. Wed May 11 01:16:03 2016  reduce to 61974449 relations and 46996579 ideals in 8 passes
  57. Wed May 11 01:16:03 2016  max relations containing the same ideal: 150
  58. Wed May 11 01:16:42 2016  removing 6625340 relations and 4625340 ideals in 2000000 cliques
  59. Wed May 11 01:16:45 2016  commencing in-memory singleton removal
  60. Wed May 11 01:16:52 2016  begin with 55349109 relations and 46996579 unique ideals
  61. Wed May 11 01:17:43 2016  reduce to 54801827 relations and 41806272 ideals in 8 passes
  62. Wed May 11 01:17:43 2016  max relations containing the same ideal: 137
  63. Wed May 11 01:18:15 2016  removing 6151269 relations and 4151269 ideals in 2000000 cliques
  64. Wed May 11 01:18:18 2016  commencing in-memory singleton removal
  65. Wed May 11 01:18:23 2016  begin with 48650558 relations and 41806272 unique ideals
  66. Wed May 11 01:19:02 2016  reduce to 48155250 relations and 37142861 ideals in 7 passes
  67. Wed May 11 01:19:02 2016  max relations containing the same ideal: 127
  68. Wed May 11 01:19:32 2016  removing 5917789 relations and 3917789 ideals in 2000000 cliques
  69. Wed May 11 01:19:35 2016  commencing in-memory singleton removal
  70. Wed May 11 01:19:40 2016  begin with 42237461 relations and 37142861 unique ideals
  71. Wed May 11 01:20:11 2016  reduce to 41747191 relations and 32716641 ideals in 7 passes
  72. Wed May 11 01:20:11 2016  max relations containing the same ideal: 114
  73. Wed May 11 01:20:36 2016  removing 5773828 relations and 3773828 ideals in 2000000 cliques
  74. Wed May 11 01:20:38 2016  commencing in-memory singleton removal
  75. Wed May 11 01:20:42 2016  begin with 35973363 relations and 32716641 unique ideals
  76. Wed May 11 01:21:08 2016  reduce to 35463082 relations and 28411196 ideals in 7 passes
  77. Wed May 11 01:21:08 2016  max relations containing the same ideal: 103
  78. Wed May 11 01:21:31 2016  removing 5685386 relations and 3685386 ideals in 2000000 cliques
  79. Wed May 11 01:21:34 2016  commencing in-memory singleton removal
  80. Wed May 11 01:21:37 2016  begin with 29777696 relations and 28411196 unique ideals
  81. Wed May 11 01:22:00 2016  reduce to 29223908 relations and 24144966 ideals in 7 passes
  82. Wed May 11 01:22:00 2016  max relations containing the same ideal: 96
  83. Wed May 11 01:22:19 2016  removing 5625833 relations and 3625833 ideals in 2000000 cliques
  84. Wed May 11 01:22:21 2016  commencing in-memory singleton removal
  85. Wed May 11 01:22:24 2016  begin with 23598075 relations and 24144966 unique ideals
  86. Wed May 11 01:22:43 2016  reduce to 22968541 relations and 19852347 ideals in 7 passes
  87. Wed May 11 01:22:43 2016  max relations containing the same ideal: 77
  88. Wed May 11 01:22:56 2016  removing 5565784 relations and 3565784 ideals in 2000000 cliques
  89. Wed May 11 01:22:59 2016  commencing in-memory singleton removal
  90. Wed May 11 01:23:00 2016  begin with 17402757 relations and 19852347 unique ideals
  91. Wed May 11 01:23:15 2016  reduce to 16643202 relations and 15470030 ideals in 9 passes
  92. Wed May 11 01:23:15 2016  max relations containing the same ideal: 63
  93. Wed May 11 01:23:26 2016  removing 1952166 relations and 1390172 ideals in 561994 cliques
  94. Wed May 11 01:23:27 2016  commencing in-memory singleton removal
  95. Wed May 11 01:23:28 2016  begin with 14691036 relations and 15470030 unique ideals
  96. Wed May 11 01:23:40 2016  reduce to 14511921 relations and 13894838 ideals in 9 passes
  97. Wed May 11 01:23:40 2016  max relations containing the same ideal: 61
  98. Wed May 11 01:23:52 2016  relations with 0 large ideals: 19405
  99. Wed May 11 01:23:52 2016  relations with 1 large ideals: 13629
  100. Wed May 11 01:23:52 2016  relations with 2 large ideals: 148853
  101. Wed May 11 01:23:52 2016  relations with 3 large ideals: 805617
  102. Wed May 11 01:23:52 2016  relations with 4 large ideals: 2279082
  103. Wed May 11 01:23:52 2016  relations with 5 large ideals: 3746703
  104. Wed May 11 01:23:52 2016  relations with 6 large ideals: 3764254
  105. Wed May 11 01:23:52 2016  relations with 7+ large ideals: 3734378
  106. Wed May 11 01:23:52 2016  commencing 2-way merge
  107. Wed May 11 01:24:03 2016  reduce to 9715916 relation sets and 9098833 unique ideals
  108. Wed May 11 01:24:03 2016  commencing full merge
  109. Wed May 11 01:29:04 2016  memory use: 1227.0 MB
  110. Wed May 11 01:29:05 2016  found 4421628 cycles, need 4377033
  111. Wed May 11 01:29:08 2016  weight of 4377033 cycles is about 525349767 (120.02/cycle)
  112. Wed May 11 01:29:08 2016  distribution of cycle lengths:
  113. Wed May 11 01:29:08 2016  1 relations: 117997
  114. Wed May 11 01:29:08 2016  2 relations: 221936
  115. Wed May 11 01:29:08 2016  3 relations: 285803
  116. Wed May 11 01:29:08 2016  4 relations: 310030
  117. Wed May 11 01:29:08 2016  5 relations: 328889
  118. Wed May 11 01:29:08 2016  6 relations: 332133
  119. Wed May 11 01:29:08 2016  7 relations: 328393
  120. Wed May 11 01:29:08 2016  8 relations: 317502
  121. Wed May 11 01:29:08 2016  9 relations: 300609
  122. Wed May 11 01:29:08 2016  10+ relations: 1833741
  123. Wed May 11 01:29:08 2016  heaviest cycle: 28 relations
  124. Wed May 11 01:29:10 2016  commencing cycle optimization
  125. Wed May 11 01:29:22 2016  start with 40036820 relations
  126. Wed May 11 01:31:36 2016  pruned 2068223 relations
  127. Wed May 11 01:31:36 2016  memory use: 1013.1 MB
  128. Wed May 11 01:31:36 2016  distribution of cycle lengths:
  129. Wed May 11 01:31:36 2016  1 relations: 117997
  130. Wed May 11 01:31:36 2016  2 relations: 228015
  131. Wed May 11 01:31:36 2016  3 relations: 298973
  132. Wed May 11 01:31:36 2016  4 relations: 324955
  133. Wed May 11 01:31:36 2016  5 relations: 347981
  134. Wed May 11 01:31:36 2016  6 relations: 352009
  135. Wed May 11 01:31:36 2016  7 relations: 349669
  136. Wed May 11 01:31:36 2016  8 relations: 336697
  137. Wed May 11 01:31:36 2016  9 relations: 318006
  138. Wed May 11 01:31:36 2016  10+ relations: 1702731
  139. Wed May 11 01:31:36 2016  heaviest cycle: 28 relations
  140. Wed May 11 01:31:46 2016  RelProcTime: 7262
  141. Wed May 11 01:31:46 2016  elapsed time 02:01:07
  142. Wed May 11 01:34:43 2016  
  143. Wed May 11 01:34:43 2016  
  144. Wed May 11 01:34:43 2016  Msieve v. 1.52 (SVN exported)
  145. Wed May 11 01:34:43 2016  random seeds: d3e4a0af 20672559
  146. Wed May 11 01:34:43 2016  factoring 20226674819339494580840075584164398856904711764676768055412839327078813167544777752682477692615575006546685160479513376020436964749798002691382988911626020609329153043391371301640174165894148983686492117886065733186517 (218 digits)
  147. Wed May 11 01:34:45 2016  searching for 15-digit factors
  148. Wed May 11 01:34:47 2016  commencing number field sieve (218-digit input)
  149. Wed May 11 01:34:47 2016  R0: 21613926941579800829422581272845221888
  150. Wed May 11 01:34:47 2016  R1: -905824306333433
  151. Wed May 11 01:34:47 2016  A0: 42
  152. Wed May 11 01:34:47 2016  A1: 0
  153. Wed May 11 01:34:47 2016  A2: 0
  154. Wed May 11 01:34:47 2016  A3: 0
  155. Wed May 11 01:34:47 2016  A4: 0
  156. Wed May 11 01:34:47 2016  A5: 0
  157. Wed May 11 01:34:47 2016  A6: 1
  158. Wed May 11 01:34:47 2016  skew 1.86, size 4.728e-11, alpha 0.514, combined = 1.969e-12 rroots = 0
  159. Wed May 11 01:34:47 2016  
  160. Wed May 11 01:34:47 2016  commencing linear algebra
  161. Wed May 11 01:34:48 2016  read 4377033 cycles
  162. Wed May 11 01:35:01 2016  cycles contain 14187805 unique relations
  163. Wed May 11 01:54:51 2016  read 14187805 relations
  164. Wed May 11 01:55:29 2016  using 20 quadratic characters above 1073738354
  165. Wed May 11 01:57:05 2016  building initial matrix
  166. Wed May 11 02:01:32 2016  memory use: 1817.4 MB
  167. Wed May 11 02:01:36 2016  read 4377033 cycles
  168. Wed May 11 02:01:38 2016  matrix is 4376856 x 4377033 (2035.7 MB) with weight 595960778 (136.16/col)
  169. Wed May 11 02:01:38 2016  sparse part has weight 485489525 (110.92/col)
  170. Wed May 11 02:03:03 2016  filtering completed in 2 passes
  171. Wed May 11 02:03:05 2016  matrix is 4376724 x 4376901 (2035.6 MB) with weight 595953848 (136.16/col)
  172. Wed May 11 02:03:05 2016  sparse part has weight 485486002 (110.92/col)
  173. Wed May 11 02:03:36 2016  matrix starts at (0, 0)
  174. Wed May 11 02:03:37 2016  matrix is 4376724 x 4376901 (2035.6 MB) with weight 595953848 (136.16/col)
  175. Wed May 11 02:03:37 2016  sparse part has weight 485486002 (110.92/col)
  176. Wed May 11 02:03:37 2016  saving the first 48 matrix rows for later
  177. Wed May 11 02:03:39 2016  matrix includes 64 packed rows
  178. Wed May 11 02:03:40 2016  matrix is 4376676 x 4376901 (1962.8 MB) with weight 511396204 (116.84/col)
  179. Wed May 11 02:03:40 2016  sparse part has weight 470754478 (107.55/col)
  180. Wed May 11 02:03:40 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  181. Wed May 11 02:04:08 2016  commencing Lanczos iteration (12 threads)
  182. Wed May 11 02:04:08 2016  memory use: 1637.7 MB
  183. Wed May 11 02:04:22 2016  linear algebra at 0.0%, ETA 10h26m
  184. Wed May 11 02:04:27 2016  checkpointing every 410000 dimensions
  185. Wed May 11 12:33:36 2016  lanczos halted after 69220 iterations (dim = 4376676)
  186. Wed May 11 12:33:41 2016  recovered 37 nontrivial dependencies
  187. Wed May 11 12:33:41 2016  BLanczosTime: 39534
  188. Wed May 11 12:33:41 2016  elapsed time 10:58:58
  189.  
  190. Wed May 11 14:05:06 2016  commencing square root phase
  191. Wed May 11 14:05:06 2016  handling dependencies 5 to 5
  192. Wed May 11 14:05:06 2016  reading relations for dependency 5
  193. Wed May 11 14:05:06 2016  read 2188216 cycles
  194. Wed May 11 14:05:13 2016  cycles contain 7092804 unique relations
  195. Wed May 11 14:26:34 2016  read 7092804 relations
  196. Wed May 11 14:27:31 2016  multiplying 7092804 relations
  197. Wed May 11 14:35:00 2016  multiply complete, coefficients have about 175.60 million bits
  198. Wed May 11 14:35:01 2016  initial square root is modulo 2003083
  199. Wed May 11 14:42:50 2016  sqrtTime: 2264
  200. Wed May 11 14:42:50 2016  prp67 factor: 3024875358243384213943565808469203320933190416936940995610162338353
  201. Wed May 11 14:42:50 2016  prp151 factor: 6686779593816254688000678333015527797946890098689365409453490822014817436481077613770046731291555281174292611476217714504610735743546713431378835842789
  202. Wed May 11 14:42:50 2016  elapsed time 00:37:51
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