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360541_43m1

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Feb 1st, 2019
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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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