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Oct 5th, 2018
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  1. Fri Oct 05 08:28:51 2018
  2. Fri Oct 05 08:28:51 2018
  3. Fri Oct 05 08:28:51 2018 Msieve v. 1.54 (SVN 1018)
  4. Fri Oct 05 08:28:51 2018 random seeds: 559006bc 1c7b150f
  5. Fri Oct 05 08:28:51 2018 factoring 3878070942402132802317995125287147075758519592829521323310227727039008787566931960756967149558966413593137914332523056936331897586039470807105902955699697567134919868400479 (172 digits)
  6. Fri Oct 05 08:28:52 2018 searching for 15-digit factors
  7. Fri Oct 05 08:28:53 2018 commencing number field sieve (172-digit input)
  8. Fri Oct 05 08:28:53 2018 R0: 2164864310970542071859854410461
  9. Fri Oct 05 08:28:53 2018 R1: -1
  10. Fri Oct 05 08:28:53 2018 A0: -1
  11. Fri Oct 05 08:28:53 2018 A1: 0
  12. Fri Oct 05 08:28:53 2018 A2: 0
  13. Fri Oct 05 08:28:53 2018 A3: 0
  14. Fri Oct 05 08:28:53 2018 A4: 0
  15. Fri Oct 05 08:28:53 2018 A5: 0
  16. Fri Oct 05 08:28:53 2018 A6: 12936304421
  17. Fri Oct 05 08:28:53 2018 skew 0.02, size 1.527e-010, alpha 0.859, combined = 4.280e-012 rroots = 2
  18. Fri Oct 05 08:28:53 2018
  19. Fri Oct 05 08:28:53 2018 commencing relation filtering
  20. Fri Oct 05 08:28:53 2018 setting target matrix density to 110.0
  21. Fri Oct 05 08:28:53 2018 estimated available RAM is 16335.3 MB
  22. Fri Oct 05 08:28:53 2018 commencing duplicate removal, pass 1
  23. Fri Oct 05 08:30:57 2018 error -1 reading relation 14450075
  24. Fri Oct 05 08:31:46 2018 error -9 reading relation 20232353
  25. Fri Oct 05 08:31:47 2018 error -1 reading relation 20244464
  26. Fri Oct 05 08:32:10 2018 error -5 reading relation 23041761
  27. Fri Oct 05 08:32:11 2018 error -1 reading relation 23073785
  28. Fri Oct 05 08:32:25 2018 error -9 reading relation 24788852
  29. Fri Oct 05 08:32:37 2018 error -15 reading relation 26118628
  30. Fri Oct 05 08:32:44 2018 error -5 reading relation 27023647
  31. Fri Oct 05 08:33:05 2018 error -15 reading relation 29478889
  32. Fri Oct 05 08:33:14 2018 error -9 reading relation 30537900
  33. Fri Oct 05 08:33:14 2018 error -15 reading relation 30565759
  34. Fri Oct 05 08:33:33 2018 error -15 reading relation 32795419
  35. Fri Oct 05 08:33:42 2018 error -1 reading relation 33921649
  36. Fri Oct 05 08:33:57 2018 error -1 reading relation 35663148
  37. Fri Oct 05 08:33:59 2018 error -15 reading relation 35867147
  38. Fri Oct 05 08:34:00 2018 error -15 reading relation 35935315
  39. Fri Oct 05 08:34:08 2018 error -1 reading relation 36887405
  40. Fri Oct 05 08:34:28 2018 error -15 reading relation 39256476
  41. Fri Oct 05 08:34:30 2018 error -15 reading relation 39502348
  42. Fri Oct 05 08:34:52 2018 error -15 reading relation 42074826
  43. Fri Oct 05 08:34:54 2018 error -9 reading relation 42300259
  44. Fri Oct 05 08:35:03 2018 error -9 reading relation 43329453
  45. Fri Oct 05 08:35:03 2018 error -9 reading relation 43349404
  46. Fri Oct 05 08:35:03 2018 error -15 reading relation 43414031
  47. Fri Oct 05 08:35:04 2018 error -5 reading relation 43452420
  48. Fri Oct 05 08:35:06 2018 error -1 reading relation 43745881
  49. Fri Oct 05 08:35:11 2018 error -1 reading relation 44308681
  50. Fri Oct 05 08:35:11 2018 error -9 reading relation 44310066
  51. Fri Oct 05 08:35:18 2018 error -9 reading relation 45120729
  52. Fri Oct 05 08:35:19 2018 error -9 reading relation 45212931
  53. Fri Oct 05 08:35:19 2018 error -9 reading relation 45292323
  54. Fri Oct 05 08:35:20 2018 error -9 reading relation 45329172
  55. Fri Oct 05 08:35:20 2018 error -9 reading relation 45397745
  56. Fri Oct 05 08:35:21 2018 error -15 reading relation 45541394
  57. Fri Oct 05 08:35:22 2018 error -15 reading relation 45613015
  58. Fri Oct 05 08:35:23 2018 error -9 reading relation 45751909
  59. Fri Oct 05 08:35:26 2018 error -15 reading relation 46137258
  60. Fri Oct 05 08:35:28 2018 error -15 reading relation 46271132
  61. Fri Oct 05 08:35:30 2018 error -15 reading relation 46503659
  62. Fri Oct 05 08:35:32 2018 error -15 reading relation 46819466
  63. Fri Oct 05 08:35:42 2018 error -1 reading relation 47953921
  64. Fri Oct 05 08:35:43 2018 error -9 reading relation 48088777
  65. Fri Oct 05 08:35:44 2018 error -15 reading relation 48152054
  66. Fri Oct 05 08:35:45 2018 error -15 reading relation 48342614
  67. Fri Oct 05 08:35:48 2018 error -9 reading relation 48721238
  68. Fri Oct 05 08:35:53 2018 error -9 reading relation 49226991
  69. Fri Oct 05 08:35:53 2018 error -9 reading relation 49263615
  70. Fri Oct 05 08:35:56 2018 error -15 reading relation 49620284
  71. Fri Oct 05 08:35:57 2018 error -15 reading relation 49681488
  72. Fri Oct 05 08:35:59 2018 error -15 reading relation 50013645
  73. Fri Oct 05 08:36:04 2018 error -5 reading relation 50562735
  74. Fri Oct 05 08:36:11 2018 error -9 reading relation 51369276
  75. Fri Oct 05 08:36:11 2018 error -15 reading relation 51397094
  76. Fri Oct 05 08:36:12 2018 error -9 reading relation 51446358
  77. Fri Oct 05 08:36:13 2018 error -9 reading relation 51570274
  78. Fri Oct 05 08:36:15 2018 error -15 reading relation 51848169
  79. Fri Oct 05 08:36:24 2018 error -9 reading relation 52878632
  80. Fri Oct 05 08:36:25 2018 error -15 reading relation 53032592
  81. Fri Oct 05 08:36:27 2018 error -9 reading relation 53245348
  82. Fri Oct 05 08:36:28 2018 error -5 reading relation 53376560
  83. Fri Oct 05 08:36:28 2018 error -9 reading relation 53422125
  84. Fri Oct 05 08:36:29 2018 error -9 reading relation 53472179
  85. Fri Oct 05 08:36:29 2018 error -9 reading relation 53529173
  86. Fri Oct 05 08:36:29 2018 error -1 reading relation 53541816
  87. Fri Oct 05 08:36:32 2018 error -15 reading relation 53837942
  88. Fri Oct 05 08:36:34 2018 error -9 reading relation 54026831
  89. Fri Oct 05 08:36:34 2018 error -9 reading relation 54063389
  90. Fri Oct 05 08:36:34 2018 error -9 reading relation 54104195
  91. Fri Oct 05 08:36:40 2018 error -15 reading relation 54785814
  92. Fri Oct 05 08:36:40 2018 skipped 983 relations with b > 2^32
  93. Fri Oct 05 08:36:40 2018 skipped 30 relations with composite factors
  94. Fri Oct 05 08:36:40 2018 found 7192081 hash collisions in 54817815 relations
  95. Fri Oct 05 08:37:04 2018 added 1219821 free relations
  96. Fri Oct 05 08:37:05 2018 commencing duplicate removal, pass 2
  97. Fri Oct 05 08:37:30 2018 found 5754335 duplicates and 50283301 unique relations
  98. Fri Oct 05 08:37:30 2018 memory use: 213.2 MB
  99. Fri Oct 05 08:37:30 2018 reading ideals above 720000
  100. Fri Oct 05 08:37:30 2018 commencing singleton removal, initial pass
  101. Fri Oct 05 08:44:08 2018 memory use: 1378.0 MB
  102. Fri Oct 05 08:44:08 2018 reading all ideals from disk
  103. Fri Oct 05 08:44:09 2018 memory use: 1797.8 MB
  104. Fri Oct 05 08:44:13 2018 keeping 46124668 ideals with weight <= 200, target excess is 256951
  105. Fri Oct 05 08:44:17 2018 commencing in-memory singleton removal
  106. Fri Oct 05 08:44:20 2018 begin with 50283301 relations and 46124668 unique ideals
  107. Fri Oct 05 08:44:52 2018 reduce to 32582730 relations and 26681940 ideals in 12 passes
  108. Fri Oct 05 08:44:52 2018 max relations containing the same ideal: 159
  109. Fri Oct 05 08:45:05 2018 removing 4494013 relations and 3494013 ideals in 1000000 cliques
  110. Fri Oct 05 08:45:06 2018 commencing in-memory singleton removal
  111. Fri Oct 05 08:45:08 2018 begin with 28088717 relations and 26681940 unique ideals
  112. Fri Oct 05 08:45:24 2018 reduce to 27522742 relations and 22599715 ideals in 8 passes
  113. Fri Oct 05 08:45:24 2018 max relations containing the same ideal: 140
  114. Fri Oct 05 08:45:35 2018 removing 3596667 relations and 2596667 ideals in 1000000 cliques
  115. Fri Oct 05 08:45:36 2018 commencing in-memory singleton removal
  116. Fri Oct 05 08:45:37 2018 begin with 23926075 relations and 22599715 unique ideals
  117. Fri Oct 05 08:45:51 2018 reduce to 23556868 relations and 19620394 ideals in 8 passes
  118. Fri Oct 05 08:45:51 2018 max relations containing the same ideal: 127
  119. Fri Oct 05 08:46:00 2018 removing 3315450 relations and 2315450 ideals in 1000000 cliques
  120. Fri Oct 05 08:46:01 2018 commencing in-memory singleton removal
  121. Fri Oct 05 08:46:02 2018 begin with 20241418 relations and 19620394 unique ideals
  122. Fri Oct 05 08:46:13 2018 reduce to 19893788 relations and 16943567 ideals in 8 passes
  123. Fri Oct 05 08:46:13 2018 max relations containing the same ideal: 115
  124. Fri Oct 05 08:46:21 2018 removing 3192967 relations and 2192967 ideals in 1000000 cliques
  125. Fri Oct 05 08:46:22 2018 commencing in-memory singleton removal
  126. Fri Oct 05 08:46:23 2018 begin with 16700821 relations and 16943567 unique ideals
  127. Fri Oct 05 08:46:32 2018 reduce to 16339036 relations and 14372383 ideals in 8 passes
  128. Fri Oct 05 08:46:32 2018 max relations containing the same ideal: 97
  129. Fri Oct 05 08:46:38 2018 removing 3121744 relations and 2121744 ideals in 1000000 cliques
  130. Fri Oct 05 08:46:39 2018 commencing in-memory singleton removal
  131. Fri Oct 05 08:46:40 2018 begin with 13217292 relations and 14372383 unique ideals
  132. Fri Oct 05 08:46:47 2018 reduce to 12816941 relations and 11828172 ideals in 8 passes
  133. Fri Oct 05 08:46:47 2018 max relations containing the same ideal: 81
  134. Fri Oct 05 08:46:52 2018 removing 2286497 relations and 1595792 ideals in 690705 cliques
  135. Fri Oct 05 08:46:53 2018 commencing in-memory singleton removal
  136. Fri Oct 05 08:46:53 2018 begin with 10530444 relations and 11828172 unique ideals
  137. Fri Oct 05 08:46:59 2018 reduce to 10259362 relations and 9948222 ideals in 8 passes
  138. Fri Oct 05 08:46:59 2018 max relations containing the same ideal: 71
  139. Fri Oct 05 08:47:03 2018 removing 85795 relations and 72719 ideals in 13076 cliques
  140. Fri Oct 05 08:47:03 2018 commencing in-memory singleton removal
  141. Fri Oct 05 08:47:03 2018 begin with 10173567 relations and 9948222 unique ideals
  142. Fri Oct 05 08:47:06 2018 reduce to 10173147 relations and 9875081 ideals in 4 passes
  143. Fri Oct 05 08:47:06 2018 max relations containing the same ideal: 71
  144. Fri Oct 05 08:47:08 2018 relations with 0 large ideals: 9774
  145. Fri Oct 05 08:47:08 2018 relations with 1 large ideals: 3073
  146. Fri Oct 05 08:47:08 2018 relations with 2 large ideals: 39718
  147. Fri Oct 05 08:47:08 2018 relations with 3 large ideals: 268726
  148. Fri Oct 05 08:47:08 2018 relations with 4 large ideals: 974086
  149. Fri Oct 05 08:47:08 2018 relations with 5 large ideals: 2089489
  150. Fri Oct 05 08:47:08 2018 relations with 6 large ideals: 2751172
  151. Fri Oct 05 08:47:08 2018 relations with 7+ large ideals: 4037109
  152. Fri Oct 05 08:47:08 2018 commencing 2-way merge
  153. Fri Oct 05 08:47:13 2018 reduce to 6736735 relation sets and 6438669 unique ideals
  154. Fri Oct 05 08:47:13 2018 commencing full merge
  155. Fri Oct 05 08:49:39 2018 memory use: 909.3 MB
  156. Fri Oct 05 08:49:40 2018 found 3138973 cycles, need 3116869
  157. Fri Oct 05 08:49:40 2018 weight of 3116869 cycles is about 342913327 (110.02/cycle)
  158. Fri Oct 05 08:49:40 2018 distribution of cycle lengths:
  159. Fri Oct 05 08:49:40 2018 1 relations: 125030
  160. Fri Oct 05 08:49:40 2018 2 relations: 194541
  161. Fri Oct 05 08:49:40 2018 3 relations: 233667
  162. Fri Oct 05 08:49:40 2018 4 relations: 243462
  163. Fri Oct 05 08:49:40 2018 5 relations: 248294
  164. Fri Oct 05 08:49:40 2018 6 relations: 243479
  165. Fri Oct 05 08:49:40 2018 7 relations: 236061
  166. Fri Oct 05 08:49:40 2018 8 relations: 222590
  167. Fri Oct 05 08:49:40 2018 9 relations: 204569
  168. Fri Oct 05 08:49:40 2018 10+ relations: 1165176
  169. Fri Oct 05 08:49:40 2018 heaviest cycle: 28 relations
  170. Fri Oct 05 08:49:40 2018 commencing cycle optimization
  171. Fri Oct 05 08:49:45 2018 start with 26603586 relations
  172. Fri Oct 05 08:50:43 2018 pruned 1253602 relations
  173. Fri Oct 05 08:50:43 2018 memory use: 697.4 MB
  174. Fri Oct 05 08:50:43 2018 distribution of cycle lengths:
  175. Fri Oct 05 08:50:43 2018 1 relations: 125030
  176. Fri Oct 05 08:50:43 2018 2 relations: 199590
  177. Fri Oct 05 08:50:43 2018 3 relations: 244009
  178. Fri Oct 05 08:50:43 2018 4 relations: 254447
  179. Fri Oct 05 08:50:43 2018 5 relations: 261562
  180. Fri Oct 05 08:50:43 2018 6 relations: 255935
  181. Fri Oct 05 08:50:43 2018 7 relations: 249357
  182. Fri Oct 05 08:50:43 2018 8 relations: 232983
  183. Fri Oct 05 08:50:43 2018 9 relations: 213665
  184. Fri Oct 05 08:50:43 2018 10+ relations: 1080291
  185. Fri Oct 05 08:50:43 2018 heaviest cycle: 28 relations
  186. Fri Oct 05 08:50:46 2018 RelProcTime: 1313
  187. Fri Oct 05 08:50:46 2018
  188. Fri Oct 05 08:50:46 2018 commencing linear algebra
  189. Fri Oct 05 08:50:47 2018 read 3116869 cycles
  190. Fri Oct 05 08:50:53 2018 cycles contain 10016485 unique relations
  191. Fri Oct 05 08:52:01 2018 read 10016485 relations
  192. Fri Oct 05 08:52:15 2018 using 20 quadratic characters above 4294917295
  193. Fri Oct 05 08:52:58 2018 building initial matrix
  194. Fri Oct 05 08:54:51 2018 memory use: 1261.2 MB
  195. Fri Oct 05 08:54:53 2018 read 3116869 cycles
  196. Fri Oct 05 08:54:53 2018 matrix is 3116692 x 3116869 (1336.9 MB) with weight 387667737 (124.38/col)
  197. Fri Oct 05 08:54:53 2018 sparse part has weight 319297068 (102.44/col)
  198. Fri Oct 05 08:55:25 2018 filtering completed in 2 passes
  199. Fri Oct 05 08:55:26 2018 matrix is 3116593 x 3116770 (1336.9 MB) with weight 387663706 (124.38/col)
  200. Fri Oct 05 08:55:26 2018 sparse part has weight 319295307 (102.44/col)
  201. Fri Oct 05 08:55:33 2018 matrix starts at (0, 0)
  202. Fri Oct 05 08:55:33 2018 matrix is 3116593 x 3116770 (1336.9 MB) with weight 387663706 (124.38/col)
  203. Fri Oct 05 08:55:33 2018 sparse part has weight 319295307 (102.44/col)
  204. Fri Oct 05 08:55:33 2018 saving the first 48 matrix rows for later
  205. Fri Oct 05 08:55:34 2018 matrix includes 64 packed rows
  206. Fri Oct 05 08:55:34 2018 matrix is 3116545 x 3116770 (1283.1 MB) with weight 328512813 (105.40/col)
  207. Fri Oct 05 08:55:34 2018 sparse part has weight 305191773 (97.92/col)
  208. Fri Oct 05 08:55:35 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  209. Fri Oct 05 08:55:50 2018 commencing Lanczos iteration (8 threads)
  210. Fri Oct 05 08:55:50 2018 memory use: 1066.7 MB
  211. Fri Oct 05 08:56:00 2018 linear algebra at 0.0%, ETA 5h43m
  212. Fri Oct 05 08:56:04 2018 checkpointing every 520000 dimensions
  213. Fri Oct 05 14:43:37 2018 lanczos halted after 49286 iterations (dim = 3116545)
  214. Fri Oct 05 14:43:41 2018 recovered 38 nontrivial dependencies
  215. Fri Oct 05 14:43:42 2018 BLanczosTime: 21176
  216. Fri Oct 05 14:43:42 2018
  217. Fri Oct 05 14:43:42 2018 commencing square root phase
  218. Fri Oct 05 14:43:42 2018 handling dependencies 1 to 64
  219. Fri Oct 05 14:43:42 2018 reading relations for dependency 1
  220. Fri Oct 05 14:43:42 2018 read 1559787 cycles
  221. Fri Oct 05 14:43:45 2018 cycles contain 5010304 unique relations
  222. Fri Oct 05 14:44:27 2018 read 5010304 relations
  223. Fri Oct 05 14:44:52 2018 multiplying 5010304 relations
  224. Fri Oct 05 14:53:30 2018 multiply complete, coefficients have about 275.32 million bits
  225. Fri Oct 05 14:53:30 2018 initial square root is modulo 87151
  226. Fri Oct 05 15:01:31 2018 sqrtTime: 1069
  227. Fri Oct 05 15:01:31 2018 p65 factor: 11460469180177421781438405408673087561731201425198044000671757241
  228. Fri Oct 05 15:01:31 2018 p108 factor: 338386752010976187796968694103210150923931064201149149309506322142956787667761672663903976353881294598056919
  229. Fri Oct 05 15:01:31 2018 elapsed time 06:32:40
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