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C188_148_62

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  1. Thu Nov 10 15:52:33 2016  Msieve v. 1.53 (SVN unknown)
  2. Thu Nov 10 15:52:33 2016  random seeds: dbb72972 5ba51cee
  3. Thu Nov 10 15:52:33 2016  factoring 11333598659373182215836395607941474549392620113358736359583123191918455581461712797437170519659837506465581862333823990542145235009991150009400618534649298733005040598155495562707333784133 (188 digits)
  4. Thu Nov 10 15:52:34 2016  searching for 15-digit factors
  5. Thu Nov 10 15:52:34 2016  commencing number field sieve (188-digit input)
  6. Thu Nov 10 15:52:34 2016  R0: 307724679838901733341397023980285932016
  7. Thu Nov 10 15:52:34 2016  R1: -4808584372417849
  8. Thu Nov 10 15:52:34 2016  A0: 1315609
  9. Thu Nov 10 15:52:34 2016  A1: 0
  10. Thu Nov 10 15:52:34 2016  A2: 0
  11. Thu Nov 10 15:52:34 2016  A3: 0
  12. Thu Nov 10 15:52:34 2016  A4: 0
  13. Thu Nov 10 15:52:34 2016  A5: 0
  14. Thu Nov 10 15:52:34 2016  A6: 1
  15. Thu Nov 10 15:52:34 2016  skew 10.47, size 4.539e-12, alpha 1.746, combined = 3.755e-13 rroots = 0
  16. Thu Nov 10 15:52:34 2016  
  17. Thu Nov 10 15:52:34 2016  commencing relation filtering
  18. Thu Nov 10 15:52:34 2016  setting target matrix density to 128.0
  19. Thu Nov 10 15:52:34 2016  estimated available RAM is 15998.5 MB
  20. Thu Nov 10 15:52:34 2016  commencing duplicate removal, pass 1
  21. Thu Nov 10 16:19:28 2016  skipped 3 relations with b > 2^32
  22. Thu Nov 10 16:19:28 2016  found 9540939 hash collisions in 208959605 relations
  23. Thu Nov 10 16:19:39 2016  commencing duplicate removal, pass 2
  24. Thu Nov 10 16:20:35 2016  found 0 duplicates and 208959605 unique relations
  25. Thu Nov 10 16:20:35 2016  memory use: 522.4 MB
  26. Thu Nov 10 16:20:35 2016  reading ideals above 159842304
  27. Thu Nov 10 16:20:35 2016  commencing singleton removal, initial pass
  28. Thu Nov 10 16:41:18 2016  memory use: 3012.0 MB
  29. Thu Nov 10 16:41:18 2016  reading all ideals from disk
  30. Thu Nov 10 16:41:26 2016  memory use: 3473.6 MB
  31. Thu Nov 10 16:41:33 2016  commencing in-memory singleton removal
  32. Thu Nov 10 16:41:39 2016  begin with 208959605 relations and 161184591 unique ideals
  33. Thu Nov 10 16:42:50 2016  reduce to 146079317 relations and 92669472 ideals in 13 passes
  34. Thu Nov 10 16:42:50 2016  max relations containing the same ideal: 46
  35. Thu Nov 10 16:42:56 2016  reading ideals above 720000
  36. Thu Nov 10 16:42:56 2016  commencing singleton removal, initial pass
  37. Thu Nov 10 17:00:47 2016  memory use: 3012.0 MB
  38. Thu Nov 10 17:00:47 2016  reading all ideals from disk
  39. Thu Nov 10 17:01:02 2016  memory use: 5701.5 MB
  40. Thu Nov 10 17:01:17 2016  keeping 109856335 ideals with weight <= 200, target excess is 744896
  41. Thu Nov 10 17:01:32 2016  commencing in-memory singleton removal
  42. Thu Nov 10 17:01:42 2016  begin with 146079317 relations and 109856335 unique ideals
  43. Thu Nov 10 17:02:52 2016  reduce to 146074569 relations and 109851587 ideals in 7 passes
  44. Thu Nov 10 17:02:52 2016  max relations containing the same ideal: 200
  45. Thu Nov 10 17:03:43 2016  removing 9894964 relations and 7894964 ideals in 2000000 cliques
  46. Thu Nov 10 17:03:46 2016  commencing in-memory singleton removal
  47. Thu Nov 10 17:03:57 2016  begin with 136179605 relations and 109851587 unique ideals
  48. Thu Nov 10 17:05:08 2016  reduce to 135686404 relations and 101454812 ideals in 7 passes
  49. Thu Nov 10 17:05:08 2016  max relations containing the same ideal: 198
  50. Thu Nov 10 17:05:58 2016  removing 7557057 relations and 5557057 ideals in 2000000 cliques
  51. Thu Nov 10 17:06:01 2016  commencing in-memory singleton removal
  52. Thu Nov 10 17:06:10 2016  begin with 128129347 relations and 101454812 unique ideals
  53. Thu Nov 10 17:07:07 2016  reduce to 127796350 relations and 95559627 ideals in 7 passes
  54. Thu Nov 10 17:07:07 2016  max relations containing the same ideal: 192
  55. Thu Nov 10 17:07:51 2016  removing 6876433 relations and 4876433 ideals in 2000000 cliques
  56. Thu Nov 10 17:07:53 2016  commencing in-memory singleton removal
  57. Thu Nov 10 17:08:01 2016  begin with 120919917 relations and 95559627 unique ideals
  58. Thu Nov 10 17:08:54 2016  reduce to 120630904 relations and 90389786 ideals in 7 passes
  59. Thu Nov 10 17:08:54 2016  max relations containing the same ideal: 186
  60. Thu Nov 10 17:09:35 2016  removing 6526222 relations and 4526222 ideals in 2000000 cliques
  61. Thu Nov 10 17:09:38 2016  commencing in-memory singleton removal
  62. Thu Nov 10 17:09:45 2016  begin with 114104682 relations and 90389786 unique ideals
  63. Thu Nov 10 17:10:35 2016  reduce to 113837504 relations and 85592158 ideals in 7 passes
  64. Thu Nov 10 17:10:35 2016  max relations containing the same ideal: 180
  65. Thu Nov 10 17:11:10 2016  removing 6303008 relations and 4303008 ideals in 2000000 cliques
  66. Thu Nov 10 17:11:12 2016  commencing in-memory singleton removal
  67. Thu Nov 10 17:11:18 2016  begin with 107534496 relations and 85592158 unique ideals
  68. Thu Nov 10 17:11:52 2016  reduce to 107279579 relations and 81030122 ideals in 6 passes
  69. Thu Nov 10 17:11:52 2016  max relations containing the same ideal: 174
  70. Thu Nov 10 17:12:23 2016  removing 6143526 relations and 4143526 ideals in 2000000 cliques
  71. Thu Nov 10 17:12:25 2016  commencing in-memory singleton removal
  72. Thu Nov 10 17:12:31 2016  begin with 101136053 relations and 81030122 unique ideals
  73. Thu Nov 10 17:13:03 2016  reduce to 100885500 relations and 76631917 ideals in 6 passes
  74. Thu Nov 10 17:13:03 2016  max relations containing the same ideal: 169
  75. Thu Nov 10 17:13:33 2016  removing 6031614 relations and 4031614 ideals in 2000000 cliques
  76. Thu Nov 10 17:13:35 2016  commencing in-memory singleton removal
  77. Thu Nov 10 17:13:40 2016  begin with 94853886 relations and 76631917 unique ideals
  78. Thu Nov 10 17:14:10 2016  reduce to 94605994 relations and 72348007 ideals in 6 passes
  79. Thu Nov 10 17:14:10 2016  max relations containing the same ideal: 161
  80. Thu Nov 10 17:14:38 2016  removing 5947879 relations and 3947879 ideals in 2000000 cliques
  81. Thu Nov 10 17:14:41 2016  commencing in-memory singleton removal
  82. Thu Nov 10 17:14:45 2016  begin with 88658115 relations and 72348007 unique ideals
  83. Thu Nov 10 17:15:18 2016  reduce to 88406630 relations and 68143718 ideals in 7 passes
  84. Thu Nov 10 17:15:18 2016  max relations containing the same ideal: 153
  85. Thu Nov 10 17:15:44 2016  removing 5882078 relations and 3882078 ideals in 2000000 cliques
  86. Thu Nov 10 17:15:46 2016  commencing in-memory singleton removal
  87. Thu Nov 10 17:15:50 2016  begin with 82524552 relations and 68143718 unique ideals
  88. Thu Nov 10 17:16:16 2016  reduce to 82266602 relations and 63998584 ideals in 6 passes
  89. Thu Nov 10 17:16:16 2016  max relations containing the same ideal: 147
  90. Thu Nov 10 17:16:41 2016  removing 5829463 relations and 3829463 ideals in 2000000 cliques
  91. Thu Nov 10 17:16:43 2016  commencing in-memory singleton removal
  92. Thu Nov 10 17:16:47 2016  begin with 76437139 relations and 63998584 unique ideals
  93. Thu Nov 10 17:17:14 2016  reduce to 76170763 relations and 59897009 ideals in 7 passes
  94. Thu Nov 10 17:17:14 2016  max relations containing the same ideal: 140
  95. Thu Nov 10 17:17:38 2016  removing 5795578 relations and 3795578 ideals in 2000000 cliques
  96. Thu Nov 10 17:17:40 2016  commencing in-memory singleton removal
  97. Thu Nov 10 17:17:43 2016  begin with 70375185 relations and 59897009 unique ideals
  98. Thu Nov 10 17:18:05 2016  reduce to 70097125 relations and 55816882 ideals in 6 passes
  99. Thu Nov 10 17:18:05 2016  max relations containing the same ideal: 133
  100. Thu Nov 10 17:18:26 2016  removing 5770707 relations and 3770707 ideals in 2000000 cliques
  101. Thu Nov 10 17:18:28 2016  commencing in-memory singleton removal
  102. Thu Nov 10 17:18:31 2016  begin with 64326418 relations and 55816882 unique ideals
  103. Thu Nov 10 17:18:54 2016  reduce to 64033660 relations and 51746308 ideals in 7 passes
  104. Thu Nov 10 17:18:54 2016  max relations containing the same ideal: 128
  105. Thu Nov 10 17:19:13 2016  removing 5751812 relations and 3751812 ideals in 2000000 cliques
  106. Thu Nov 10 17:19:15 2016  commencing in-memory singleton removal
  107. Thu Nov 10 17:19:18 2016  begin with 58281848 relations and 51746308 unique ideals
  108. Thu Nov 10 17:19:36 2016  reduce to 57968524 relations and 47672713 ideals in 6 passes
  109. Thu Nov 10 17:19:36 2016  max relations containing the same ideal: 117
  110. Thu Nov 10 17:19:53 2016  removing 5744423 relations and 3744423 ideals in 2000000 cliques
  111. Thu Nov 10 17:19:55 2016  commencing in-memory singleton removal
  112. Thu Nov 10 17:19:57 2016  begin with 52224101 relations and 47672713 unique ideals
  113. Thu Nov 10 17:20:16 2016  reduce to 51884803 relations and 43578955 ideals in 7 passes
  114. Thu Nov 10 17:20:16 2016  max relations containing the same ideal: 107
  115. Thu Nov 10 17:20:32 2016  removing 5739479 relations and 3739479 ideals in 2000000 cliques
  116. Thu Nov 10 17:20:33 2016  commencing in-memory singleton removal
  117. Thu Nov 10 17:20:36 2016  begin with 46145324 relations and 43578955 unique ideals
  118. Thu Nov 10 17:20:52 2016  reduce to 45769359 relations and 39451117 ideals in 7 passes
  119. Thu Nov 10 17:20:52 2016  max relations containing the same ideal: 101
  120. Thu Nov 10 17:21:06 2016  removing 5747505 relations and 3747505 ideals in 2000000 cliques
  121. Thu Nov 10 17:21:08 2016  commencing in-memory singleton removal
  122. Thu Nov 10 17:21:09 2016  begin with 40021854 relations and 39451117 unique ideals
  123. Thu Nov 10 17:21:23 2016  reduce to 39595224 relations and 35261383 ideals in 7 passes
  124. Thu Nov 10 17:21:23 2016  max relations containing the same ideal: 91
  125. Thu Nov 10 17:21:36 2016  removing 5768133 relations and 3768133 ideals in 2000000 cliques
  126. Thu Nov 10 17:21:37 2016  commencing in-memory singleton removal
  127. Thu Nov 10 17:21:39 2016  begin with 33827091 relations and 35261383 unique ideals
  128. Thu Nov 10 17:21:51 2016  reduce to 33321628 relations and 30966752 ideals in 7 passes
  129. Thu Nov 10 17:21:51 2016  max relations containing the same ideal: 82
  130. Thu Nov 10 17:22:01 2016  removing 4548293 relations and 3057497 ideals in 1490796 cliques
  131. Thu Nov 10 17:22:03 2016  commencing in-memory singleton removal
  132. Thu Nov 10 17:22:04 2016  begin with 28773335 relations and 30966752 unique ideals
  133. Thu Nov 10 17:22:14 2016  reduce to 28359665 relations and 27479725 ideals in 7 passes
  134. Thu Nov 10 17:22:14 2016  max relations containing the same ideal: 72
  135. Thu Nov 10 17:22:23 2016  removing 97292 relations and 81432 ideals in 15860 cliques
  136. Thu Nov 10 17:22:24 2016  commencing in-memory singleton removal
  137. Thu Nov 10 17:22:25 2016  begin with 28262373 relations and 27479725 unique ideals
  138. Thu Nov 10 17:22:30 2016  reduce to 28262103 relations and 27398023 ideals in 4 passes
  139. Thu Nov 10 17:22:30 2016  max relations containing the same ideal: 72
  140. Thu Nov 10 17:22:35 2016  relations with 0 large ideals: 27448
  141. Thu Nov 10 17:22:35 2016  relations with 1 large ideals: 14352
  142. Thu Nov 10 17:22:35 2016  relations with 2 large ideals: 197085
  143. Thu Nov 10 17:22:35 2016  relations with 3 large ideals: 1153315
  144. Thu Nov 10 17:22:35 2016  relations with 4 large ideals: 3582643
  145. Thu Nov 10 17:22:35 2016  relations with 5 large ideals: 6565831
  146. Thu Nov 10 17:22:35 2016  relations with 6 large ideals: 7472619
  147. Thu Nov 10 17:22:35 2016  relations with 7+ large ideals: 9248810
  148. Thu Nov 10 17:22:35 2016  commencing 2-way merge
  149. Thu Nov 10 17:22:45 2016  reduce to 19283553 relation sets and 18419473 unique ideals
  150. Thu Nov 10 17:22:45 2016  commencing full merge
  151. Thu Nov 10 17:28:25 2016  memory use: 2419.8 MB
  152. Thu Nov 10 17:28:27 2016  found 8440547 cycles, need 8427673
  153. Thu Nov 10 17:28:29 2016  weight of 8427673 cycles is about 1079334345 (128.07/cycle)
  154. Thu Nov 10 17:28:29 2016  distribution of cycle lengths:
  155. Thu Nov 10 17:28:29 2016  1 relations: 239041
  156. Thu Nov 10 17:28:29 2016  2 relations: 388335
  157. Thu Nov 10 17:28:29 2016  3 relations: 493096
  158. Thu Nov 10 17:28:29 2016  4 relations: 544843
  159. Thu Nov 10 17:28:29 2016  5 relations: 586620
  160. Thu Nov 10 17:28:29 2016  6 relations: 603881
  161. Thu Nov 10 17:28:29 2016  7 relations: 606774
  162. Thu Nov 10 17:28:29 2016  8 relations: 592985
  163. Thu Nov 10 17:28:29 2016  9 relations: 566089
  164. Thu Nov 10 17:28:29 2016  10+ relations: 3806009
  165. Thu Nov 10 17:28:29 2016  heaviest cycle: 28 relations
  166. Thu Nov 10 17:28:30 2016  commencing cycle optimization
  167. Thu Nov 10 17:28:45 2016  start with 81492648 relations
  168. Thu Nov 10 17:31:21 2016  pruned 4540491 relations
  169. Thu Nov 10 17:31:21 2016  memory use: 2011.1 MB
  170. Thu Nov 10 17:31:21 2016  distribution of cycle lengths:
  171. Thu Nov 10 17:31:21 2016  1 relations: 239041
  172. Thu Nov 10 17:31:21 2016  2 relations: 398623
  173. Thu Nov 10 17:31:21 2016  3 relations: 515191
  174. Thu Nov 10 17:31:21 2016  4 relations: 571370
  175. Thu Nov 10 17:31:21 2016  5 relations: 622378
  176. Thu Nov 10 17:31:21 2016  6 relations: 642045
  177. Thu Nov 10 17:31:21 2016  7 relations: 648835
  178. Thu Nov 10 17:31:21 2016  8 relations: 632660
  179. Thu Nov 10 17:31:21 2016  9 relations: 603637
  180. Thu Nov 10 17:31:21 2016  10+ relations: 3553893
  181. Thu Nov 10 17:31:21 2016  heaviest cycle: 28 relations
  182. Thu Nov 10 17:31:32 2016  RelProcTime: 5938
  183. Thu Nov 10 17:31:32 2016  
  184. Thu Nov 10 17:31:32 2016  commencing linear algebra
  185. Thu Nov 10 17:31:35 2016  read 8427673 cycles
  186. Thu Nov 10 17:31:52 2016  cycles contain 27861068 unique relations
  187. Thu Nov 10 17:34:39 2016  read 27861068 relations
  188. Thu Nov 10 17:35:16 2016  using 20 quadratic characters above 4294917295
  189. Thu Nov 10 17:36:53 2016  building initial matrix
  190. Thu Nov 10 17:41:29 2016  memory use: 3515.0 MB
  191. Thu Nov 10 17:41:32 2016  read 8427673 cycles
  192. Thu Nov 10 17:41:33 2016  matrix is 8427496 x 8427673 (4142.5 MB) with weight 1182819024 (140.35/col)
  193. Thu Nov 10 17:41:33 2016  sparse part has weight 993230631 (117.85/col)
  194. Thu Nov 10 17:43:06 2016  filtering completed in 2 passes
  195. Thu Nov 10 17:43:08 2016  matrix is 8427450 x 8427627 (4142.5 MB) with weight 1182817632 (140.35/col)
  196. Thu Nov 10 17:43:08 2016  sparse part has weight 993230227 (117.85/col)
  197. Thu Nov 10 17:43:29 2016  matrix starts at (0, 0)
  198. Thu Nov 10 17:43:30 2016  matrix is 8427450 x 8427627 (4142.5 MB) with weight 1182817632 (140.35/col)
  199. Thu Nov 10 17:43:30 2016  sparse part has weight 993230227 (117.85/col)
  200. Thu Nov 10 17:43:30 2016  saving the first 48 matrix rows for later
  201. Thu Nov 10 17:43:31 2016  matrix includes 64 packed rows
  202. Thu Nov 10 17:43:32 2016  matrix is 8427402 x 8427627 (3972.3 MB) with weight 1023287019 (121.42/col)
  203. Thu Nov 10 17:43:32 2016  sparse part has weight 957037491 (113.56/col)
  204. Thu Nov 10 17:43:32 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  205. Thu Nov 10 17:44:03 2016  commencing Lanczos iteration (4 threads)
  206. Thu Nov 10 17:44:03 2016  memory use: 3383.6 MB
  207. Thu Nov 10 17:44:49 2016  linear algebra at 0.0%, ETA 69h31m
  208. Thu Nov 10 17:45:01 2016  checkpointing every 130000 dimensions
  209. Sat Nov 12 16:04:05 2016  lanczos halted after 133274 iterations (dim = 8427399)
  210. Sat Nov 12 16:04:18 2016  recovered 40 nontrivial dependencies
  211. Sat Nov 12 16:04:18 2016  BLanczosTime: 167566
  212. Sat Nov 12 16:04:18 2016  
  213. Sat Nov 12 16:04:18 2016  commencing square root phase
  214. Sat Nov 12 16:04:18 2016  handling dependencies 1 to 64
  215. Sat Nov 12 16:04:18 2016  reading relations for dependency 1
  216. Sat Nov 12 16:04:19 2016  read 4212013 cycles
  217. Sat Nov 12 16:04:25 2016  cycles contain 13930390 unique relations
  218. Sat Nov 12 16:05:58 2016  read 13930390 relations
  219. Sat Nov 12 16:06:42 2016  multiplying 13930390 relations
  220. Sat Nov 12 16:15:41 2016  multiply complete, coefficients have about 370.93 million bits
  221. Sat Nov 12 16:15:43 2016  initial square root is modulo 4525567
  222. Sat Nov 12 16:25:54 2016  sqrtTime: 1296
  223. Sat Nov 12 16:25:54 2016  p63 factor: 480700523411983610490129035397636413259106403065073508264928577
  224. Sat Nov 12 16:25:54 2016  p125 factor: 23577254667683687359746897266773626488647231421319670086378320401928214909587583151192972187159140008391098162999808016820229
  225. Sat Nov 12 16:25:54 2016  elapsed time 48:33:21
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