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  1. Thu Jan 31 09:43:11 2019  
  2. Thu Jan 31 09:43:11 2019  
  3. Thu Jan 31 09:43:11 2019  Msieve v. 1.53 (SVN 988M)
  4. Thu Jan 31 09:43:11 2019  random seeds: 1a8e624c cc065bc9
  5. Thu Jan 31 09:43:11 2019  factoring 246658951443547412582013944013550485682246908762354745122778792549769428673291866035874947948616533096358418795480299784353945485788958522226162139931617775538472116048839158958843667180408547233801871328153344014939537348703645723263 (234 digits)
  6. Thu Jan 31 09:43:12 2019  searching for 15-digit factors
  7. Thu Jan 31 09:43:14 2019  commencing number field sieve (234-digit input)
  8. Thu Jan 31 09:43:14 2019  R0: 791922373221129177421098508940896687381
  9. Thu Jan 31 09:43:14 2019  R1: -1
  10. Thu Jan 31 09:43:14 2019  A0: -1
  11. Thu Jan 31 09:43:14 2019  A1: 0
  12. Thu Jan 31 09:43:14 2019  A2: 0
  13. Thu Jan 31 09:43:14 2019  A3: 0
  14. Thu Jan 31 09:43:14 2019  A4: 0
  15. Thu Jan 31 09:43:14 2019  A5: 0
  16. Thu Jan 31 09:43:14 2019  A6: 360541
  17. Thu Jan 31 09:43:14 2019  skew 0.12, size 7.133e-12, alpha -2.019, combined = 5.034e-13 rroots = 2
  18. Thu Jan 31 09:43:14 2019  
  19. Thu Jan 31 09:43:14 2019  commencing relation filtering
  20. Thu Jan 31 09:43:14 2019  setting target matrix density to 120.0
  21. Thu Jan 31 09:43:14 2019  estimated available RAM is 65536.0 MB
  22. Thu Jan 31 09:43:14 2019  commencing duplicate removal, pass 1
  23. Thu Jan 31 09:50:40 2019  error -15 reading relation 57182605
  24. Thu Jan 31 09:51:06 2019  error -1 reading relation 60476963
  25. Thu Jan 31 09:55:50 2019  skipped 463 relations with b > 2^32
  26. Thu Jan 31 09:55:50 2019  found 4087314 hash collisions in 96521041 relations
  27. Thu Jan 31 09:56:06 2019  added 1218572 free relations
  28. Thu Jan 31 09:56:06 2019  commencing duplicate removal, pass 2
  29. Thu Jan 31 09:56:31 2019  found 0 duplicates and 97739613 unique relations
  30. Thu Jan 31 09:56:31 2019  memory use: 261.2 MB
  31. Thu Jan 31 09:56:31 2019  reading ideals above 720000
  32. Thu Jan 31 09:56:31 2019  commencing singleton removal, initial pass
  33. Thu Jan 31 10:08:41 2019  memory use: 2756.0 MB
  34. Thu Jan 31 10:08:42 2019  reading all ideals from disk
  35. Thu Jan 31 10:08:44 2019  memory use: 3734.3 MB
  36. Thu Jan 31 10:08:54 2019  keeping 92390290 ideals with weight <= 200, target excess is 496882
  37. Thu Jan 31 10:09:05 2019  commencing in-memory singleton removal
  38. Thu Jan 31 10:09:14 2019  begin with 97739613 relations and 92390290 unique ideals
  39. Thu Jan 31 10:10:51 2019  reduce to 63989186 relations and 55278952 ideals in 15 passes
  40. Thu Jan 31 10:10:52 2019  max relations containing the same ideal: 159
  41. Thu Jan 31 10:11:20 2019  removing 5816338 relations and 4816338 ideals in 1000000 cliques
  42. Thu Jan 31 10:11:22 2019  commencing in-memory singleton removal
  43. Thu Jan 31 10:11:28 2019  begin with 58172848 relations and 55278952 unique ideals
  44. Thu Jan 31 10:12:10 2019  reduce to 57715577 relations and 49995761 ideals in 8 passes
  45. Thu Jan 31 10:12:10 2019  max relations containing the same ideal: 147
  46. Thu Jan 31 10:12:36 2019  removing 4485645 relations and 3485645 ideals in 1000000 cliques
  47. Thu Jan 31 10:12:38 2019  commencing in-memory singleton removal
  48. Thu Jan 31 10:12:42 2019  begin with 53229932 relations and 49995761 unique ideals
  49. Thu Jan 31 10:13:21 2019  reduce to 52923864 relations and 46198268 ideals in 8 passes
  50. Thu Jan 31 10:13:21 2019  max relations containing the same ideal: 140
  51. Thu Jan 31 10:13:45 2019  removing 4100610 relations and 3100610 ideals in 1000000 cliques
  52. Thu Jan 31 10:13:46 2019  commencing in-memory singleton removal
  53. Thu Jan 31 10:13:51 2019  begin with 48823254 relations and 46198268 unique ideals
  54. Thu Jan 31 10:14:26 2019  reduce to 48546473 relations and 42815917 ideals in 8 passes
  55. Thu Jan 31 10:14:26 2019  max relations containing the same ideal: 133
  56. Thu Jan 31 10:14:47 2019  removing 3910171 relations and 2910171 ideals in 1000000 cliques
  57. Thu Jan 31 10:14:49 2019  commencing in-memory singleton removal
  58. Thu Jan 31 10:14:53 2019  begin with 44636302 relations and 42815917 unique ideals
  59. Thu Jan 31 10:15:20 2019  reduce to 44369633 relations and 39633846 ideals in 7 passes
  60. Thu Jan 31 10:15:20 2019  max relations containing the same ideal: 123
  61. Thu Jan 31 10:15:40 2019  removing 3803097 relations and 2803097 ideals in 1000000 cliques
  62. Thu Jan 31 10:15:42 2019  commencing in-memory singleton removal
  63. Thu Jan 31 10:15:45 2019  begin with 40566536 relations and 39633846 unique ideals
  64. Thu Jan 31 10:16:10 2019  reduce to 40296170 relations and 36554733 ideals in 7 passes
  65. Thu Jan 31 10:16:10 2019  max relations containing the same ideal: 117
  66. Thu Jan 31 10:16:28 2019  removing 3735885 relations and 2735885 ideals in 1000000 cliques
  67. Thu Jan 31 10:16:29 2019  commencing in-memory singleton removal
  68. Thu Jan 31 10:16:32 2019  begin with 36560285 relations and 36554733 unique ideals
  69. Thu Jan 31 10:16:57 2019  reduce to 36276121 relations and 33528341 ideals in 8 passes
  70. Thu Jan 31 10:16:57 2019  max relations containing the same ideal: 114
  71. Thu Jan 31 10:17:14 2019  removing 3700975 relations and 2700975 ideals in 1000000 cliques
  72. Thu Jan 31 10:17:15 2019  commencing in-memory singleton removal
  73. Thu Jan 31 10:17:18 2019  begin with 32575146 relations and 33528341 unique ideals
  74. Thu Jan 31 10:17:40 2019  reduce to 32271075 relations and 30515849 ideals in 8 passes
  75. Thu Jan 31 10:17:40 2019  max relations containing the same ideal: 100
  76. Thu Jan 31 10:17:54 2019  removing 3693019 relations and 2693019 ideals in 1000000 cliques
  77. Thu Jan 31 10:17:56 2019  commencing in-memory singleton removal
  78. Thu Jan 31 10:17:58 2019  begin with 28578056 relations and 30515849 unique ideals
  79. Thu Jan 31 10:18:17 2019  reduce to 28236804 relations and 27472523 ideals in 8 passes
  80. Thu Jan 31 10:18:17 2019  max relations containing the same ideal: 91
  81. Thu Jan 31 10:18:29 2019  removing 967687 relations and 779790 ideals in 187897 cliques
  82. Thu Jan 31 10:18:30 2019  commencing in-memory singleton removal
  83. Thu Jan 31 10:18:32 2019  begin with 27269117 relations and 27472523 unique ideals
  84. Thu Jan 31 10:18:46 2019  reduce to 27244782 relations and 26668260 ideals in 6 passes
  85. Thu Jan 31 10:18:46 2019  max relations containing the same ideal: 89
  86. Thu Jan 31 10:19:01 2019  relations with 0 large ideals: 18728
  87. Thu Jan 31 10:19:01 2019  relations with 1 large ideals: 6579
  88. Thu Jan 31 10:19:01 2019  relations with 2 large ideals: 93352
  89. Thu Jan 31 10:19:01 2019  relations with 3 large ideals: 636693
  90. Thu Jan 31 10:19:01 2019  relations with 4 large ideals: 2361483
  91. Thu Jan 31 10:19:01 2019  relations with 5 large ideals: 5255989
  92. Thu Jan 31 10:19:01 2019  relations with 6 large ideals: 7291001
  93. Thu Jan 31 10:19:01 2019  relations with 7+ large ideals: 11580957
  94. Thu Jan 31 10:19:01 2019  commencing 2-way merge
  95. Thu Jan 31 10:19:19 2019  reduce to 18134479 relation sets and 17557957 unique ideals
  96. Thu Jan 31 10:19:19 2019  commencing full merge
  97. Thu Jan 31 10:26:42 2019  memory use: 2263.1 MB
  98. Thu Jan 31 10:26:47 2019  found 7970630 cycles, need 7968157
  99. Thu Jan 31 10:26:48 2019  weight of 7968157 cycles is about 956217426 (120.00/cycle)
  100. Thu Jan 31 10:26:48 2019  distribution of cycle lengths:
  101. Thu Jan 31 10:26:48 2019  1 relations: 378230
  102. Thu Jan 31 10:26:48 2019  2 relations: 506014
  103. Thu Jan 31 10:26:48 2019  3 relations: 577267
  104. Thu Jan 31 10:26:48 2019  4 relations: 578770
  105. Thu Jan 31 10:26:48 2019  5 relations: 578420
  106. Thu Jan 31 10:26:48 2019  6 relations: 557992
  107. Thu Jan 31 10:26:48 2019  7 relations: 540325
  108. Thu Jan 31 10:26:48 2019  8 relations: 508792
  109. Thu Jan 31 10:26:48 2019  9 relations: 478535
  110. Thu Jan 31 10:26:48 2019  10+ relations: 3263812
  111. Thu Jan 31 10:26:48 2019  heaviest cycle: 28 relations
  112. Thu Jan 31 10:26:50 2019  commencing cycle optimization
  113. Thu Jan 31 10:27:10 2019  start with 72269404 relations
  114. Thu Jan 31 10:30:35 2019  pruned 3340660 relations
  115. Thu Jan 31 10:30:37 2019  memory use: 1872.9 MB
  116. Thu Jan 31 10:30:37 2019  distribution of cycle lengths:
  117. Thu Jan 31 10:30:37 2019  1 relations: 378230
  118. Thu Jan 31 10:30:37 2019  2 relations: 519147
  119. Thu Jan 31 10:30:37 2019  3 relations: 602511
  120. Thu Jan 31 10:30:37 2019  4 relations: 603490
  121. Thu Jan 31 10:30:37 2019  5 relations: 607198
  122. Thu Jan 31 10:30:37 2019  6 relations: 583378
  123. Thu Jan 31 10:30:37 2019  7 relations: 566437
  124. Thu Jan 31 10:30:37 2019  8 relations: 531557
  125. Thu Jan 31 10:30:37 2019  9 relations: 499355
  126. Thu Jan 31 10:30:37 2019  10+ relations: 3076854
  127. Thu Jan 31 10:30:37 2019  heaviest cycle: 28 relations
  128. Thu Jan 31 10:31:01 2019  RelProcTime: 2867
  129. Thu Jan 31 10:31:01 2019  
  130. Thu Jan 31 10:31:01 2019  commencing linear algebra
  131. Thu Jan 31 10:31:03 2019  read 7968157 cycles
  132. Thu Jan 31 10:31:20 2019  cycles contain 26935079 unique relations
  133. Thu Jan 31 10:33:46 2019  read 26935079 relations
  134. Thu Jan 31 10:34:41 2019  using 20 quadratic characters above 4294917295
  135. Thu Jan 31 10:36:29 2019  building initial matrix
  136. Thu Jan 31 10:41:47 2019  memory use: 3441.9 MB
  137. Thu Jan 31 10:41:56 2019  read 7968157 cycles
  138. Thu Jan 31 10:41:57 2019  matrix is 7967980 x 7968157 (3755.1 MB) with weight 1102174105 (138.32/col)
  139. Thu Jan 31 10:41:57 2019  sparse part has weight 896731278 (112.54/col)
  140. Thu Jan 31 10:43:47 2019  filtering completed in 2 passes
  141. Thu Jan 31 10:43:48 2019  matrix is 7967926 x 7968103 (3755.1 MB) with weight 1102172099 (138.32/col)
  142. Thu Jan 31 10:43:48 2019  sparse part has weight 896730692 (112.54/col)
  143. Thu Jan 31 10:45:41 2019  matrix starts at (0, 0)
  144. Thu Jan 31 10:45:42 2019  matrix is 7967926 x 7968103 (3755.1 MB) with weight 1102172099 (138.32/col)
  145. Thu Jan 31 10:45:42 2019  sparse part has weight 896730692 (112.54/col)
  146. Thu Jan 31 10:45:42 2019  saving the first 48 matrix rows for later
  147. Thu Jan 31 10:45:44 2019  matrix includes 64 packed rows
  148. Thu Jan 31 10:45:44 2019  matrix is 7967878 x 7968103 (3634.1 MB) with weight 947969903 (118.97/col)
  149. Thu Jan 31 10:45:44 2019  sparse part has weight 872969422 (109.56/col)
  150. Thu Jan 31 10:45:44 2019  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  151. Thu Jan 31 10:46:37 2019  commencing Lanczos iteration (8 threads)
  152. Thu Jan 31 10:46:37 2019  memory use: 3053.9 MB
  153. Thu Jan 31 10:46:55 2019  linear algebra at 0.0%, ETA 24h52m
  154. Thu Jan 31 10:47:01 2019  checkpointing every 320000 dimensions
  155. Thu Jan 31 21:18:28 2019  
  156. Thu Jan 31 21:18:28 2019  
  157. Thu Jan 31 21:18:28 2019  Msieve v. 1.53 (SVN 988M)
  158. Thu Jan 31 21:18:28 2019  random seeds: a77bd235 dfb933cd
  159. Thu Jan 31 21:18:28 2019  factoring 246658951443547412582013944013550485682246908762354745122778792549769428673291866035874947948616533096358418795480299784353945485788958522226162139931617775538472116048839158958843667180408547233801871328153344014939537348703645723263 (234 digits)
  160. Thu Jan 31 21:18:30 2019  searching for 15-digit factors
  161. Thu Jan 31 21:18:31 2019  commencing number field sieve (234-digit input)
  162. Thu Jan 31 21:18:32 2019  R0: 791922373221129177421098508940896687381
  163. Thu Jan 31 21:18:32 2019  R1: -1
  164. Thu Jan 31 21:18:32 2019  A0: -1
  165. Thu Jan 31 21:18:32 2019  A1: 0
  166. Thu Jan 31 21:18:32 2019  A2: 0
  167. Thu Jan 31 21:18:32 2019  A3: 0
  168. Thu Jan 31 21:18:32 2019  A4: 0
  169. Thu Jan 31 21:18:32 2019  A5: 0
  170. Thu Jan 31 21:18:32 2019  A6: 360541
  171. Thu Jan 31 21:18:32 2019  skew 0.12, size 7.133e-12, alpha -2.019, combined = 5.034e-13 rroots = 2
  172. Thu Jan 31 21:18:32 2019  
  173. Thu Jan 31 21:18:32 2019  commencing linear algebra
  174. Thu Jan 31 21:19:57 2019  matrix starts at (0, 0)
  175. Thu Jan 31 21:19:57 2019  matrix is 7967926 x 7968103 (3755.1 MB) with weight 1102172099 (138.32/col)
  176. Thu Jan 31 21:19:57 2019  sparse part has weight 896730692 (112.54/col)
  177. Thu Jan 31 21:19:57 2019  saving the first 48 matrix rows for later
  178. Thu Jan 31 21:19:59 2019  matrix includes 64 packed rows
  179. Thu Jan 31 21:20:00 2019  matrix is 7967878 x 7968103 (3634.1 MB) with weight 947969903 (118.97/col)
  180. Thu Jan 31 21:20:00 2019  sparse part has weight 872969422 (109.56/col)
  181. Thu Jan 31 21:20:00 2019  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  182. Thu Jan 31 21:20:52 2019  commencing Lanczos iteration (8 threads)
  183. Thu Jan 31 21:20:52 2019  memory use: 3053.9 MB
  184. Thu Jan 31 21:21:00 2019  restarting at iteration 10122 (dim = 640019)
  185. Thu Jan 31 21:21:17 2019  linear algebra at 8.1%, ETA 22h44m
  186. Thu Jan 31 21:21:22 2019  checkpointing every 340000 dimensions
  187. Fri Feb  1 12:00:11 2019  
  188. Fri Feb  1 12:00:11 2019  
  189. Fri Feb  1 12:00:11 2019  Msieve v. 1.53 (SVN 988M)
  190. Fri Feb  1 12:00:11 2019  random seeds: d1036dd4 dbad4cc8
  191. Fri Feb  1 12:00:11 2019  factoring 246658951443547412582013944013550485682246908762354745122778792549769428673291866035874947948616533096358418795480299784353945485788958522226162139931617775538472116048839158958843667180408547233801871328153344014939537348703645723263 (234 digits)
  192. Fri Feb  1 12:00:13 2019  searching for 15-digit factors
  193. Fri Feb  1 12:00:14 2019  commencing number field sieve (234-digit input)
  194. Fri Feb  1 12:00:14 2019  R0: 791922373221129177421098508940896687381
  195. Fri Feb  1 12:00:14 2019  R1: -1
  196. Fri Feb  1 12:00:14 2019  A0: -1
  197. Fri Feb  1 12:00:14 2019  A1: 0
  198. Fri Feb  1 12:00:14 2019  A2: 0
  199. Fri Feb  1 12:00:14 2019  A3: 0
  200. Fri Feb  1 12:00:14 2019  A4: 0
  201. Fri Feb  1 12:00:14 2019  A5: 0
  202. Fri Feb  1 12:00:14 2019  A6: 360541
  203. Fri Feb  1 12:00:14 2019  skew 0.12, size 7.133e-12, alpha -2.019, combined = 5.034e-13 rroots = 2
  204. Fri Feb  1 12:00:14 2019  
  205. Fri Feb  1 12:00:14 2019  commencing linear algebra
  206. Fri Feb  1 12:01:38 2019  matrix starts at (0, 0)
  207. Fri Feb  1 12:01:39 2019  matrix is 7967926 x 7968103 (3755.1 MB) with weight 1102172099 (138.32/col)
  208. Fri Feb  1 12:01:39 2019  sparse part has weight 896730692 (112.54/col)
  209. Fri Feb  1 12:01:39 2019  saving the first 48 matrix rows for later
  210. Fri Feb  1 12:01:41 2019  matrix includes 64 packed rows
  211. Fri Feb  1 12:01:42 2019  matrix is 7967878 x 7968103 (3634.1 MB) with weight 947969903 (118.97/col)
  212. Fri Feb  1 12:01:42 2019  sparse part has weight 872969422 (109.56/col)
  213. Fri Feb  1 12:01:42 2019  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  214. Fri Feb  1 12:02:35 2019  commencing Lanczos iteration (8 threads)
  215. Fri Feb  1 12:02:35 2019  memory use: 3053.9 MB
  216. Fri Feb  1 12:02:42 2019  restarting at iteration 80658 (dim = 5100005)
  217. Fri Feb  1 12:02:59 2019  linear algebra at 64.0%, ETA 8h53m
  218. Fri Feb  1 12:03:05 2019  checkpointing every 320000 dimensions
  219. Fri Feb  1 20:55:21 2019  lanczos halted after 126008 iterations (dim = 7967876)
  220. Fri Feb  1 20:55:38 2019  recovered 33 nontrivial dependencies
  221. Fri Feb  1 20:55:41 2019  BLanczosTime: 32127
  222. Fri Feb  1 20:55:41 2019  
  223. Fri Feb  1 20:55:41 2019  commencing square root phase
  224. Fri Feb  1 20:55:41 2019  reading relations for dependency 1
  225. Fri Feb  1 20:55:48 2019  read 3984387 cycles
  226. Fri Feb  1 20:55:56 2019  cycles contain 13463200 unique relations
  227. Fri Feb  1 21:01:50 2019  read 13463200 relations
  228. Fri Feb  1 21:02:55 2019  multiplying 13463200 relations
  229. Fri Feb  1 21:21:09 2019  multiply complete, coefficients have about 559.39 million bits
  230. Fri Feb  1 21:21:11 2019  initial square root is modulo 104383
  231. Fri Feb  1 21:40:44 2019  sqrtTime: 2703
  232. Fri Feb  1 21:40:44 2019  p63 factor: 809040089868871551372395979616059441256980240570387011614770913
  233. Fri Feb  1 21:40:44 2019  p171 factor: 304878527692645813062512885118927785486080744113295886767671975065663472257198054431502567282674450332795206134443312340139958288100988535235662186862541360377156427545951
  234. Fri Feb  1 21:40:44 2019  elapsed time 09:40:33
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