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47_161_minus1

CarlosPinho Jun 5th, 2016 74 Never
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ENDING IN00days00hours00mins00secs
 
  1. Wed May 18 00:50:43 2016  Msieve v. 1.53 (SVN Unversioned directory)
  2. Wed May 18 00:50:43 2016  random seeds: b6d3d482 6284ef61
  3. Wed May 18 00:50:43 2016  factoring 13323401777078525644596971826202214924026303207748603300596446807489585206448312728464536545727623236838343884579749837511802965873269392908299876002961446293347290078296235810308875129 (185 digits)
  4. Wed May 18 00:50:44 2016  searching for 15-digit factors
  5. Wed May 18 00:50:45 2016  commencing number field sieve (185-digit input)
  6. Wed May 18 00:50:45 2016  R0: -287243845682065590744605010781602099023
  7. Wed May 18 00:50:45 2016  R1: 1
  8. Wed May 18 00:50:45 2016  A0: 1
  9. Wed May 18 00:50:45 2016  A1: 1
  10. Wed May 18 00:50:45 2016  A2: 1
  11. Wed May 18 00:50:45 2016  A3: 1
  12. Wed May 18 00:50:45 2016  A4: 1
  13. Wed May 18 00:50:45 2016  A5: 1
  14. Wed May 18 00:50:45 2016  A6: 1
  15. Wed May 18 00:50:45 2016  skew 1.00, size 1.999e-11, alpha 2.428, combined = 1.056e-12 rroots = 0
  16. Wed May 18 00:50:45 2016  
  17. Wed May 18 00:50:45 2016  commencing relation filtering
  18. Wed May 18 00:50:45 2016  setting target matrix density to 112.0
  19. Wed May 18 00:50:45 2016  estimated available RAM is 16039.4 MB
  20. Wed May 18 00:50:45 2016  commencing duplicate removal, pass 1
  21. Wed May 18 00:55:36 2016  error -9 reading relation 39725056
  22. Wed May 18 00:59:41 2016  error -1 reading relation 74595663
  23. Wed May 18 01:00:03 2016  error -1 reading relation 77943415
  24. Wed May 18 01:00:13 2016  error -9 reading relation 79310632
  25. Wed May 18 01:00:30 2016  error -9 reading relation 81865133
  26. Wed May 18 01:00:40 2016  error -1 reading relation 83431619
  27. Wed May 18 01:00:48 2016  error -9 reading relation 84618687
  28. Wed May 18 01:01:35 2016  error -9 reading relation 91393631
  29. Wed May 18 01:02:29 2016  error -9 reading relation 99132156
  30. Wed May 18 01:02:29 2016  error -15 reading relation 99155507
  31. Wed May 18 01:02:29 2016  error -9 reading relation 99179475
  32. Wed May 18 01:02:29 2016  error -15 reading relation 99225670
  33. Wed May 18 01:02:29 2016  error -9 reading relation 99249394
  34. Wed May 18 01:02:30 2016  error -1 reading relation 99263234
  35. Wed May 18 01:02:54 2016  error -15 reading relation 102804275
  36. Wed May 18 01:03:32 2016  error -15 reading relation 108177998
  37. Wed May 18 01:03:39 2016  error -9 reading relation 109236027
  38. Wed May 18 01:04:31 2016  skipped 10 relations with b > 2^32
  39. Wed May 18 01:04:31 2016  skipped 11 relations with composite factors
  40. Wed May 18 01:04:31 2016  found 19642332 hash collisions in 113974155 relations
  41. Wed May 18 01:04:31 2016  commencing duplicate removal, pass 2
  42. Wed May 18 01:05:03 2016  found 18172628 duplicates and 95801527 unique relations
  43. Wed May 18 01:05:03 2016  memory use: 660.8 MB
  44. Wed May 18 01:05:03 2016  reading ideals above 85917696
  45. Wed May 18 01:05:03 2016  commencing singleton removal, initial pass
  46. Wed May 18 01:13:24 2016  memory use: 1506.0 MB
  47. Wed May 18 01:13:24 2016  reading all ideals from disk
  48. Wed May 18 01:13:28 2016  memory use: 1607.4 MB
  49. Wed May 18 01:13:31 2016  commencing in-memory singleton removal
  50. Wed May 18 01:13:34 2016  begin with 95801527 relations and 79845120 unique ideals
  51. Wed May 18 01:14:06 2016  reduce to 60143960 relations and 40294221 ideals in 14 passes
  52. Wed May 18 01:14:06 2016  max relations containing the same ideal: 37
  53. Wed May 18 01:14:09 2016  reading ideals above 720000
  54. Wed May 18 01:14:09 2016  commencing singleton removal, initial pass
  55. Wed May 18 01:20:49 2016  memory use: 1378.0 MB
  56. Wed May 18 01:20:49 2016  reading all ideals from disk
  57. Wed May 18 01:20:59 2016  memory use: 2262.0 MB
  58. Wed May 18 01:21:04 2016  keeping 49974940 ideals with weight <= 200, target excess is 306342
  59. Wed May 18 01:21:10 2016  commencing in-memory singleton removal
  60. Wed May 18 01:21:14 2016  begin with 60143965 relations and 49974940 unique ideals
  61. Wed May 18 01:21:42 2016  reduce to 60142215 relations and 49973180 ideals in 6 passes
  62. Wed May 18 01:21:42 2016  max relations containing the same ideal: 200
  63. Wed May 18 01:22:05 2016  removing 5465358 relations and 4465358 ideals in 1000000 cliques
  64. Wed May 18 01:22:07 2016  commencing in-memory singleton removal
  65. Wed May 18 01:22:10 2016  begin with 54676857 relations and 49973180 unique ideals
  66. Wed May 18 01:22:42 2016  reduce to 54233956 relations and 45055556 ideals in 9 passes
  67. Wed May 18 01:22:42 2016  max relations containing the same ideal: 194
  68. Wed May 18 01:23:01 2016  removing 4304610 relations and 3304610 ideals in 1000000 cliques
  69. Wed May 18 01:23:02 2016  commencing in-memory singleton removal
  70. Wed May 18 01:23:05 2016  begin with 49929346 relations and 45055556 unique ideals
  71. Wed May 18 01:23:31 2016  reduce to 49645700 relations and 41461967 ideals in 8 passes
  72. Wed May 18 01:23:31 2016  max relations containing the same ideal: 185
  73. Wed May 18 01:23:48 2016  removing 3937495 relations and 2937495 ideals in 1000000 cliques
  74. Wed May 18 01:23:50 2016  commencing in-memory singleton removal
  75. Wed May 18 01:23:53 2016  begin with 45708205 relations and 41461967 unique ideals
  76. Wed May 18 01:24:13 2016  reduce to 45458585 relations and 38270135 ideals in 7 passes
  77. Wed May 18 01:24:13 2016  max relations containing the same ideal: 176
  78. Wed May 18 01:24:29 2016  removing 3737501 relations and 2737501 ideals in 1000000 cliques
  79. Wed May 18 01:24:30 2016  commencing in-memory singleton removal
  80. Wed May 18 01:24:33 2016  begin with 41721084 relations and 38270135 unique ideals
  81. Wed May 18 01:24:51 2016  reduce to 41482865 relations and 35289644 ideals in 7 passes
  82. Wed May 18 01:24:51 2016  max relations containing the same ideal: 167
  83. Wed May 18 01:25:05 2016  removing 3606904 relations and 2606904 ideals in 1000000 cliques
  84. Wed May 18 01:25:06 2016  commencing in-memory singleton removal
  85. Wed May 18 01:25:08 2016  begin with 37875961 relations and 35289644 unique ideals
  86. Wed May 18 01:25:24 2016  reduce to 37640099 relations and 32441844 ideals in 7 passes
  87. Wed May 18 01:25:24 2016  max relations containing the same ideal: 156
  88. Wed May 18 01:25:37 2016  removing 3519539 relations and 2519539 ideals in 1000000 cliques
  89. Wed May 18 01:25:38 2016  commencing in-memory singleton removal
  90. Wed May 18 01:25:40 2016  begin with 34120560 relations and 32441844 unique ideals
  91. Wed May 18 01:25:54 2016  reduce to 33881419 relations and 29677467 ideals in 7 passes
  92. Wed May 18 01:25:54 2016  max relations containing the same ideal: 146
  93. Wed May 18 01:26:06 2016  removing 3456003 relations and 2456003 ideals in 1000000 cliques
  94. Wed May 18 01:26:07 2016  commencing in-memory singleton removal
  95. Wed May 18 01:26:08 2016  begin with 30425416 relations and 29677467 unique ideals
  96. Wed May 18 01:26:21 2016  reduce to 30176386 relations and 26966188 ideals in 7 passes
  97. Wed May 18 01:26:21 2016  max relations containing the same ideal: 135
  98. Wed May 18 01:26:31 2016  removing 3408087 relations and 2408087 ideals in 1000000 cliques
  99. Wed May 18 01:26:32 2016  commencing in-memory singleton removal
  100. Wed May 18 01:26:34 2016  begin with 26768299 relations and 26966188 unique ideals
  101. Wed May 18 01:26:45 2016  reduce to 26505475 relations and 24287771 ideals in 7 passes
  102. Wed May 18 01:26:45 2016  max relations containing the same ideal: 122
  103. Wed May 18 01:26:54 2016  removing 3366769 relations and 2366769 ideals in 1000000 cliques
  104. Wed May 18 01:26:55 2016  commencing in-memory singleton removal
  105. Wed May 18 01:26:56 2016  begin with 23138706 relations and 24287771 unique ideals
  106. Wed May 18 01:27:07 2016  reduce to 22852858 relations and 21625923 ideals in 8 passes
  107. Wed May 18 01:27:07 2016  max relations containing the same ideal: 109
  108. Wed May 18 01:27:15 2016  removing 2983271 relations and 2111693 ideals in 871578 cliques
  109. Wed May 18 01:27:16 2016  commencing in-memory singleton removal
  110. Wed May 18 01:27:17 2016  begin with 19869587 relations and 21625923 unique ideals
  111. Wed May 18 01:27:25 2016  reduce to 19610298 relations and 19246511 ideals in 7 passes
  112. Wed May 18 01:27:25 2016  max relations containing the same ideal: 100
  113. Wed May 18 01:27:32 2016  removing 59297 relations and 50867 ideals in 8430 cliques
  114. Wed May 18 01:27:32 2016  commencing in-memory singleton removal
  115. Wed May 18 01:27:33 2016  begin with 19551001 relations and 19246511 unique ideals
  116. Wed May 18 01:27:38 2016  reduce to 19550877 relations and 19195520 ideals in 4 passes
  117. Wed May 18 01:27:38 2016  max relations containing the same ideal: 100
  118. Wed May 18 01:27:41 2016  relations with 0 large ideals: 23057
  119. Wed May 18 01:27:41 2016  relations with 1 large ideals: 3970
  120. Wed May 18 01:27:41 2016  relations with 2 large ideals: 32057
  121. Wed May 18 01:27:41 2016  relations with 3 large ideals: 253483
  122. Wed May 18 01:27:41 2016  relations with 4 large ideals: 1112751
  123. Wed May 18 01:27:41 2016  relations with 5 large ideals: 2919498
  124. Wed May 18 01:27:41 2016  relations with 6 large ideals: 4786654
  125. Wed May 18 01:27:41 2016  relations with 7+ large ideals: 10419407
  126. Wed May 18 01:27:41 2016  commencing 2-way merge
  127. Wed May 18 01:27:50 2016  reduce to 13091416 relation sets and 12736059 unique ideals
  128. Wed May 18 01:27:50 2016  commencing full merge
  129. Wed May 18 01:32:27 2016  memory use: 1823.5 MB
  130. Wed May 18 01:32:28 2016  found 6041068 cycles, need 6038259
  131. Wed May 18 01:32:29 2016  weight of 6038259 cycles is about 676770311 (112.08/cycle)
  132. Wed May 18 01:32:29 2016  distribution of cycle lengths:
  133. Wed May 18 01:32:29 2016  1 relations: 251967
  134. Wed May 18 01:32:29 2016  2 relations: 367777
  135. Wed May 18 01:32:29 2016  3 relations: 440863
  136. Wed May 18 01:32:29 2016  4 relations: 456253
  137. Wed May 18 01:32:29 2016  5 relations: 465031
  138. Wed May 18 01:32:29 2016  6 relations: 455127
  139. Wed May 18 01:32:29 2016  7 relations: 442584
  140. Wed May 18 01:32:29 2016  8 relations: 418741
  141. Wed May 18 01:32:29 2016  9 relations: 391858
  142. Wed May 18 01:32:29 2016  10+ relations: 2348058
  143. Wed May 18 01:32:29 2016  heaviest cycle: 28 relations
  144. Wed May 18 01:32:31 2016  commencing cycle optimization
  145. Wed May 18 01:32:40 2016  start with 53100456 relations
  146. Wed May 18 01:34:23 2016  pruned 2453185 relations
  147. Wed May 18 01:34:23 2016  memory use: 1366.0 MB
  148. Wed May 18 01:34:23 2016  distribution of cycle lengths:
  149. Wed May 18 01:34:23 2016  1 relations: 251967
  150. Wed May 18 01:34:23 2016  2 relations: 375708
  151. Wed May 18 01:34:23 2016  3 relations: 458470
  152. Wed May 18 01:34:23 2016  4 relations: 474661
  153. Wed May 18 01:34:23 2016  5 relations: 487860
  154. Wed May 18 01:34:23 2016  6 relations: 476282
  155. Wed May 18 01:34:23 2016  7 relations: 465998
  156. Wed May 18 01:34:23 2016  8 relations: 438691
  157. Wed May 18 01:34:23 2016  9 relations: 409063
  158. Wed May 18 01:34:23 2016  10+ relations: 2199559
  159. Wed May 18 01:34:23 2016  heaviest cycle: 28 relations
  160. Wed May 18 01:34:32 2016  RelProcTime: 2627
  161. Wed May 18 01:34:32 2016  
  162. Wed May 18 01:34:32 2016  commencing linear algebra
  163. Wed May 18 01:34:32 2016  read 6038259 cycles
  164. Wed May 18 01:34:44 2016  cycles contain 19364096 unique relations
  165. Wed May 18 01:36:37 2016  read 19364096 relations
  166. Wed May 18 01:36:57 2016  using 20 quadratic characters above 4294917295
  167. Wed May 18 01:38:11 2016  building initial matrix
  168. Wed May 18 01:41:24 2016  memory use: 2489.8 MB
  169. Wed May 18 01:41:27 2016  read 6038259 cycles
  170. Wed May 18 01:41:27 2016  matrix is 6038082 x 6038259 (2669.8 MB) with weight 764222540 (126.56/col)
  171. Wed May 18 01:41:27 2016  sparse part has weight 633451270 (104.91/col)
  172. Wed May 18 01:42:34 2016  filtering completed in 2 passes
  173. Wed May 18 01:42:35 2016  matrix is 6038060 x 6038237 (2669.8 MB) with weight 764221582 (126.56/col)
  174. Wed May 18 01:42:35 2016  sparse part has weight 633450793 (104.91/col)
  175. Wed May 18 01:42:52 2016  matrix starts at (0, 0)
  176. Wed May 18 01:42:52 2016  matrix is 6038060 x 6038237 (2669.8 MB) with weight 764221582 (126.56/col)
  177. Wed May 18 01:42:52 2016  sparse part has weight 633450793 (104.91/col)
  178. Wed May 18 01:43:04 2016  saving the first 48 matrix rows for later
  179. Wed May 18 01:43:05 2016  matrix includes 64 packed rows
  180. Wed May 18 01:43:06 2016  matrix is 6038012 x 6038237 (2552.9 MB) with weight 652733131 (108.10/col)
  181. Wed May 18 01:43:06 2016  sparse part has weight 608851978 (100.83/col)
  182. Wed May 18 01:43:06 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  183. Wed May 18 01:43:26 2016  commencing Lanczos iteration (4 threads)
  184. Wed May 18 01:43:26 2016  memory use: 2157.2 MB
  185. Wed May 18 01:43:50 2016  linear algebra at 0.0%, ETA 25h25m
  186. Wed May 18 01:43:58 2016  checkpointing every 240000 dimensions
  187. Thu May 19 00:26:17 2016  lanczos halted after 95483 iterations (dim = 6038006)
  188. Thu May 19 00:26:22 2016  recovered 35 nontrivial dependencies
  189. Thu May 19 00:26:22 2016  BLanczosTime: 82310
  190. Thu May 19 00:26:22 2016  
  191. Thu May 19 00:26:22 2016  commencing square root phase
  192. Thu May 19 00:26:22 2016  handling dependencies 1 to 64
  193. Thu May 19 00:26:22 2016  reading relations for dependency 1
  194. Thu May 19 00:26:23 2016  read 3019268 cycles
  195. Thu May 19 00:26:28 2016  cycles contain 9681736 unique relations
  196. Thu May 19 00:27:59 2016  read 9681736 relations
  197. Thu May 19 00:28:29 2016  multiplying 9681736 relations
  198. Thu May 19 00:33:11 2016  multiply complete, coefficients have about 237.25 million bits
  199. Thu May 19 00:33:12 2016  initial square root is modulo 326646547
  200. Thu May 19 00:38:29 2016  sqrtTime: 727
  201. Thu May 19 00:38:29 2016  p61 factor: 1370147355811014398230066065266567503872403310355435724291207
  202. Thu May 19 00:38:29 2016  p124 factor: 9724064875629504113547106276158428793325436549067130500903049503592786148911962044512226882365113820400361285775825504821247
  203. Thu May 19 00:38:29 2016  elapsed time 23:47:46
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