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  1. Mon May 20 19:07:17 2019  
  2. Mon May 20 19:07:17 2019  
  3. Mon May 20 19:07:17 2019  Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon May 20 19:07:17 2019  random seeds: d6d16240 9c5add48
  5. Mon May 20 19:07:17 2019  factoring 86154455216215141873433568062147623673372116599525581978128571865733604380492910073626189010254591226671905069157434053145746827991662032011366300837422842219280421316104567793714130508236599091737468838494187421697 (215 digits)
  6. Mon May 20 19:07:17 2019  searching for 15-digit factors
  7. Mon May 20 19:07:18 2019  commencing number field sieve (215-digit input)
  8. Mon May 20 19:07:18 2019  R0: -664578504488039366711823783206715391
  9. Mon May 20 19:07:18 2019  R1: 1
  10. Mon May 20 19:07:18 2019  A0: 1
  11. Mon May 20 19:07:18 2019  A1: 1
  12. Mon May 20 19:07:18 2019  A2: 1
  13. Mon May 20 19:07:18 2019  A3: 1
  14. Mon May 20 19:07:18 2019  A4: 1
  15. Mon May 20 19:07:18 2019  A5: 1
  16. Mon May 20 19:07:18 2019  A6: 1
  17. Mon May 20 19:07:18 2019  skew 1.34, size 1.132e-010, alpha 2.428, combined = 3.674e-012 rroots = 0
  18. Mon May 20 19:07:18 2019  
  19. Mon May 20 19:07:18 2019  commencing relation filtering
  20. Mon May 20 19:07:18 2019  setting target matrix density to 70.0
  21. Mon May 20 19:07:18 2019  estimated available RAM is 16335.3 MB
  22. Mon May 20 19:07:18 2019  commencing duplicate removal, pass 1
  23. Mon May 20 19:07:56 2019  error -15 reading relation 4641558
  24. Mon May 20 19:08:07 2019  error -9 reading relation 6007042
  25. Mon May 20 19:08:09 2019  error -9 reading relation 6239983
  26. Mon May 20 19:08:33 2019  error -9 reading relation 9207374
  27. Mon May 20 19:08:37 2019  error -9 reading relation 9714167
  28. Mon May 20 19:08:49 2019  error -9 reading relation 11179655
  29. Mon May 20 19:09:15 2019  error -9 reading relation 14419229
  30. Mon May 20 19:09:31 2019  error -9 reading relation 16309252
  31. Mon May 20 19:09:32 2019  error -9 reading relation 16467578
  32. Mon May 20 19:09:39 2019  error -9 reading relation 17356958
  33. Mon May 20 19:09:52 2019  error -9 reading relation 18896203
  34. Mon May 20 19:10:17 2019  error -9 reading relation 21975645
  35. Mon May 20 19:10:33 2019  error -1 reading relation 24033834
  36. Mon May 20 19:10:48 2019  error -9 reading relation 25824523
  37. Mon May 20 19:10:53 2019  error -15 reading relation 26406030
  38. Mon May 20 19:10:55 2019  error -5 reading relation 26687262
  39. Mon May 20 19:10:55 2019  error -9 reading relation 26752324
  40. Mon May 20 19:10:57 2019  error -9 reading relation 26935569
  41. Mon May 20 19:10:58 2019  error -15 reading relation 27061540
  42. Mon May 20 19:10:58 2019  error -9 reading relation 27084260
  43. Mon May 20 19:12:02 2019  error -15 reading relation 34866169
  44. Mon May 20 19:12:11 2019  error -5 reading relation 35992240
  45. Mon May 20 19:12:20 2019  error -1 reading relation 37100907
  46. Mon May 20 19:12:20 2019  error -9 reading relation 37128731
  47. Mon May 20 19:12:21 2019  error -1 reading relation 37285473
  48. Mon May 20 19:12:26 2019  error -9 reading relation 37859737
  49. Mon May 20 19:12:27 2019  error -9 reading relation 37990639
  50. Mon May 20 19:12:39 2019  error -9 reading relation 39496746
  51. Mon May 20 19:12:39 2019  error -5 reading relation 39507230
  52. Mon May 20 19:12:40 2019  error -5 reading relation 39580870
  53. Mon May 20 19:12:43 2019  error -15 reading relation 39974560
  54. Mon May 20 19:12:44 2019  error -9 reading relation 40066871
  55. Mon May 20 19:12:45 2019  error -5 reading relation 40216866
  56. Mon May 20 19:12:46 2019  error -5 reading relation 40338158
  57. Mon May 20 19:12:46 2019  error -9 reading relation 40357083
  58. Mon May 20 19:12:47 2019  error -15 reading relation 40398717
  59. Mon May 20 19:12:47 2019  error -9 reading relation 40408934
  60. Mon May 20 19:12:47 2019  error -5 reading relation 40437012
  61. Mon May 20 19:12:48 2019  error -9 reading relation 40521929
  62. Mon May 20 19:12:52 2019  error -5 reading relation 40990714
  63. Mon May 20 19:12:52 2019  error -9 reading relation 41070593
  64. Mon May 20 19:12:54 2019  error -15 reading relation 41282757
  65. Mon May 20 19:12:56 2019  error -5 reading relation 41461310
  66. Mon May 20 19:12:56 2019  error -9 reading relation 41530487
  67. Mon May 20 19:12:57 2019  error -15 reading relation 41619221
  68. Mon May 20 19:13:05 2019  error -5 reading relation 42579850
  69. Mon May 20 19:13:08 2019  error -5 reading relation 43026175
  70. Mon May 20 19:13:09 2019  error -9 reading relation 43095416
  71. Mon May 20 19:13:11 2019  error -15 reading relation 43377311
  72. Mon May 20 19:13:13 2019  error -15 reading relation 43547582
  73. Mon May 20 19:13:13 2019  error -9 reading relation 43562413
  74. Mon May 20 19:13:14 2019  error -9 reading relation 43658872
  75. Mon May 20 19:13:17 2019  error -5 reading relation 44000589
  76. Mon May 20 19:13:19 2019  error -15 reading relation 44296969
  77. Mon May 20 19:13:22 2019  error -9 reading relation 44664608
  78. Mon May 20 19:13:23 2019  error -15 reading relation 44758948
  79. Mon May 20 19:13:25 2019  error -5 reading relation 45056139
  80. Mon May 20 19:13:26 2019  error -15 reading relation 45101274
  81. Mon May 20 19:13:26 2019  error -9 reading relation 45200334
  82. Mon May 20 19:13:30 2019  error -5 reading relation 45655112
  83. Mon May 20 19:13:31 2019  error -9 reading relation 45801747
  84. Mon May 20 19:13:36 2019  error -5 reading relation 46372065
  85. Mon May 20 19:13:41 2019  error -15 reading relation 46969862
  86. Mon May 20 19:13:42 2019  error -1 reading relation 47113540
  87. Mon May 20 19:13:45 2019  error -15 reading relation 47444230
  88. Mon May 20 19:13:47 2019  error -15 reading relation 47664628
  89. Mon May 20 19:13:48 2019  error -1 reading relation 47728100
  90. Mon May 20 19:13:49 2019  error -9 reading relation 47928214
  91. Mon May 20 19:13:49 2019  error -9 reading relation 47935006
  92. Mon May 20 19:13:54 2019  error -15 reading relation 48517029
  93. Mon May 20 19:13:56 2019  error -9 reading relation 48748734
  94. Mon May 20 19:13:56 2019  error -5 reading relation 48766820
  95. Mon May 20 19:13:57 2019  error -1 reading relation 48872843
  96. Mon May 20 19:13:59 2019  error -9 reading relation 49051466
  97. Mon May 20 19:14:05 2019  error -1 reading relation 49832449
  98. Mon May 20 19:14:05 2019  error -15 reading relation 49883804
  99. Mon May 20 19:14:06 2019  error -1 reading relation 49920469
  100. Mon May 20 19:14:06 2019  error -9 reading relation 49978751
  101. Mon May 20 19:14:08 2019  error -9 reading relation 50236247
  102. Mon May 20 19:14:10 2019  error -9 reading relation 50422025
  103. Mon May 20 19:14:12 2019  skipped 1 relations with b > 2^32
  104. Mon May 20 19:14:12 2019  skipped 32 relations with composite factors
  105. Mon May 20 19:14:12 2019  found 6643618 hash collisions in 50668926 relations
  106. Mon May 20 19:14:20 2019  added 2438513 free relations
  107. Mon May 20 19:14:20 2019  commencing duplicate removal, pass 2
  108. Mon May 20 19:14:43 2019  found 5481716 duplicates and 47625723 unique relations
  109. Mon May 20 19:14:43 2019  memory use: 197.2 MB
  110. Mon May 20 19:14:43 2019  reading ideals above 720000
  111. Mon May 20 19:14:43 2019  commencing singleton removal, initial pass
  112. Mon May 20 19:21:01 2019  memory use: 1378.0 MB
  113. Mon May 20 19:21:01 2019  reading all ideals from disk
  114. Mon May 20 19:21:02 2019  memory use: 1722.1 MB
  115. Mon May 20 19:21:06 2019  keeping 46784472 ideals with weight <= 200, target excess is 240069
  116. Mon May 20 19:21:10 2019  commencing in-memory singleton removal
  117. Mon May 20 19:21:13 2019  begin with 47625723 relations and 46784472 unique ideals
  118. Mon May 20 19:22:00 2019  reduce to 28117103 relations and 24854324 ideals in 20 passes
  119. Mon May 20 19:22:00 2019  max relations containing the same ideal: 150
  120. Mon May 20 19:22:11 2019  removing 2833004 relations and 2433004 ideals in 400000 cliques
  121. Mon May 20 19:22:12 2019  commencing in-memory singleton removal
  122. Mon May 20 19:22:13 2019  begin with 25284099 relations and 24854324 unique ideals
  123. Mon May 20 19:22:30 2019  reduce to 24981730 relations and 22112684 ideals in 9 passes
  124. Mon May 20 19:22:30 2019  max relations containing the same ideal: 139
  125. Mon May 20 19:22:40 2019  removing 2110054 relations and 1710054 ideals in 400000 cliques
  126. Mon May 20 19:22:40 2019  commencing in-memory singleton removal
  127. Mon May 20 19:22:42 2019  begin with 22871676 relations and 22112684 unique ideals
  128. Mon May 20 19:22:59 2019  reduce to 22702476 relations and 20230408 ideals in 10 passes
  129. Mon May 20 19:22:59 2019  max relations containing the same ideal: 131
  130. Mon May 20 19:23:07 2019  removing 1900961 relations and 1500961 ideals in 400000 cliques
  131. Mon May 20 19:23:08 2019  commencing in-memory singleton removal
  132. Mon May 20 19:23:09 2019  begin with 20801515 relations and 20230408 unique ideals
  133. Mon May 20 19:23:21 2019  reduce to 20661372 relations and 18586860 ideals in 8 passes
  134. Mon May 20 19:23:21 2019  max relations containing the same ideal: 123
  135. Mon May 20 19:23:29 2019  removing 1788695 relations and 1388695 ideals in 400000 cliques
  136. Mon May 20 19:23:30 2019  commencing in-memory singleton removal
  137. Mon May 20 19:23:31 2019  begin with 18872677 relations and 18586860 unique ideals
  138. Mon May 20 19:23:43 2019  reduce to 18743208 relations and 17066272 ideals in 9 passes
  139. Mon May 20 19:23:43 2019  max relations containing the same ideal: 112
  140. Mon May 20 19:23:51 2019  removing 1714344 relations and 1314344 ideals in 400000 cliques
  141. Mon May 20 19:23:51 2019  commencing in-memory singleton removal
  142. Mon May 20 19:23:52 2019  begin with 17028864 relations and 17066272 unique ideals
  143. Mon May 20 19:24:01 2019  reduce to 16902879 relations and 15623440 ideals in 7 passes
  144. Mon May 20 19:24:01 2019  max relations containing the same ideal: 103
  145. Mon May 20 19:24:07 2019  removing 1664963 relations and 1264963 ideals in 400000 cliques
  146. Mon May 20 19:24:08 2019  commencing in-memory singleton removal
  147. Mon May 20 19:24:09 2019  begin with 15237916 relations and 15623440 unique ideals
  148. Mon May 20 19:24:16 2019  reduce to 15109871 relations and 14227717 ideals in 7 passes
  149. Mon May 20 19:24:16 2019  max relations containing the same ideal: 97
  150. Mon May 20 19:24:22 2019  removing 1627024 relations and 1227024 ideals in 400000 cliques
  151. Mon May 20 19:24:23 2019  commencing in-memory singleton removal
  152. Mon May 20 19:24:23 2019  begin with 13482847 relations and 14227717 unique ideals
  153. Mon May 20 19:24:31 2019  reduce to 13350808 relations and 12865561 ideals in 8 passes
  154. Mon May 20 19:24:31 2019  max relations containing the same ideal: 90
  155. Mon May 20 19:24:36 2019  removing 939187 relations and 732421 ideals in 206766 cliques
  156. Mon May 20 19:24:36 2019  commencing in-memory singleton removal
  157. Mon May 20 19:24:37 2019  begin with 12411621 relations and 12865561 unique ideals
  158. Mon May 20 19:24:43 2019  reduce to 12366283 relations and 12087170 ideals in 7 passes
  159. Mon May 20 19:24:43 2019  max relations containing the same ideal: 84
  160. Mon May 20 19:24:50 2019  relations with 0 large ideals: 16845
  161. Mon May 20 19:24:50 2019  relations with 1 large ideals: 1923
  162. Mon May 20 19:24:50 2019  relations with 2 large ideals: 25473
  163. Mon May 20 19:24:50 2019  relations with 3 large ideals: 193654
  164. Mon May 20 19:24:50 2019  relations with 4 large ideals: 812422
  165. Mon May 20 19:24:50 2019  relations with 5 large ideals: 2032776
  166. Mon May 20 19:24:50 2019  relations with 6 large ideals: 3146525
  167. Mon May 20 19:24:50 2019  relations with 7+ large ideals: 6136665
  168. Mon May 20 19:24:50 2019  commencing 2-way merge
  169. Mon May 20 19:24:56 2019  reduce to 8079401 relation sets and 7800288 unique ideals
  170. Mon May 20 19:24:56 2019  commencing full merge
  171. Mon May 20 19:26:48 2019  memory use: 1065.6 MB
  172. Mon May 20 19:26:49 2019  found 4304432 cycles, need 4266488
  173. Mon May 20 19:26:49 2019  weight of 4266488 cycles is about 298974309 (70.08/cycle)
  174. Mon May 20 19:26:49 2019  distribution of cycle lengths:
  175. Mon May 20 19:26:49 2019  1 relations: 498863
  176. Mon May 20 19:26:49 2019  2 relations: 510220
  177. Mon May 20 19:26:49 2019  3 relations: 492969
  178. Mon May 20 19:26:49 2019  4 relations: 450952
  179. Mon May 20 19:26:49 2019  5 relations: 411409
  180. Mon May 20 19:26:49 2019  6 relations: 365524
  181. Mon May 20 19:26:49 2019  7 relations: 320590
  182. Mon May 20 19:26:49 2019  8 relations: 276162
  183. Mon May 20 19:26:49 2019  9 relations: 230630
  184. Mon May 20 19:26:49 2019  10+ relations: 709169
  185. Mon May 20 19:26:49 2019  heaviest cycle: 22 relations
  186. Mon May 20 19:26:50 2019  commencing cycle optimization
  187. Mon May 20 19:26:54 2019  start with 24225630 relations
  188. Mon May 20 19:27:27 2019  pruned 646903 relations
  189. Mon May 20 19:27:28 2019  memory use: 759.8 MB
  190. Mon May 20 19:27:28 2019  distribution of cycle lengths:
  191. Mon May 20 19:27:28 2019  1 relations: 498863
  192. Mon May 20 19:27:28 2019  2 relations: 519125
  193. Mon May 20 19:27:28 2019  3 relations: 508601
  194. Mon May 20 19:27:28 2019  4 relations: 463203
  195. Mon May 20 19:27:28 2019  5 relations: 423574
  196. Mon May 20 19:27:28 2019  6 relations: 373230
  197. Mon May 20 19:27:28 2019  7 relations: 327135
  198. Mon May 20 19:27:28 2019  8 relations: 277926
  199. Mon May 20 19:27:28 2019  9 relations: 230721
  200. Mon May 20 19:27:28 2019  10+ relations: 644110
  201. Mon May 20 19:27:28 2019  heaviest cycle: 21 relations
  202. Mon May 20 19:27:31 2019  RelProcTime: 1213
  203. Mon May 20 19:27:31 2019  
  204. Mon May 20 19:27:31 2019  commencing linear algebra
  205. Mon May 20 19:27:32 2019  read 4266488 cycles
  206. Mon May 20 19:27:38 2019  cycles contain 12195999 unique relations
  207. Mon May 20 19:28:57 2019  read 12195999 relations
  208. Mon May 20 19:29:10 2019  using 20 quadratic characters above 4294917295
  209. Mon May 20 19:30:05 2019  building initial matrix
  210. Mon May 20 19:31:42 2019  memory use: 1520.5 MB
  211. Mon May 20 19:31:44 2019  read 4266488 cycles
  212. Mon May 20 19:31:45 2019  matrix is 4266310 x 4266488 (1278.6 MB) with weight 369923163 (86.70/col)
  213. Mon May 20 19:31:45 2019  sparse part has weight 288247213 (67.56/col)
  214. Mon May 20 19:32:16 2019  filtering completed in 2 passes
  215. Mon May 20 19:32:17 2019  matrix is 4265527 x 4265702 (1278.5 MB) with weight 369900823 (86.72/col)
  216. Mon May 20 19:32:17 2019  sparse part has weight 288239588 (67.57/col)
  217. Mon May 20 19:32:24 2019  matrix starts at (0, 0)
  218. Mon May 20 19:32:24 2019  matrix is 4265527 x 4265702 (1278.5 MB) with weight 369900823 (86.72/col)
  219. Mon May 20 19:32:24 2019  sparse part has weight 288239588 (67.57/col)
  220. Mon May 20 19:32:24 2019  saving the first 112 matrix rows for later
  221. Mon May 20 19:32:26 2019  matrix includes 128 packed rows
  222. Mon May 20 19:32:26 2019  matrix is 4265415 x 4265702 (1191.0 MB) with weight 276461953 (64.81/col)
  223. Mon May 20 19:32:26 2019  sparse part has weight 261020036 (61.19/col)
  224. Mon May 20 19:32:27 2019  using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  225. Mon May 20 19:32:37 2019  commencing Lanczos iteration (8 threads)
  226. Mon May 20 19:32:37 2019  memory use: 1431.5 MB
  227. Mon May 20 19:32:49 2019  linear algebra at 0.0%, ETA 8h30m
  228. Mon May 20 19:32:53 2019  checkpointing every 490000 dimensions
  229. Tue May 21 04:10:07 2019  lanczos halted after 33526 iterations (dim = 4265413)
  230. Tue May 21 04:10:16 2019  recovered 36 nontrivial dependencies
  231. Tue May 21 04:10:17 2019  BLanczosTime: 31366
  232. Tue May 21 04:10:17 2019  
  233. Tue May 21 04:10:17 2019  commencing square root phase
  234. Tue May 21 04:10:17 2019  handling dependencies 1 to 64
  235. Tue May 21 04:10:17 2019  reading relations for dependency 1
  236. Tue May 21 04:10:17 2019  read 2134404 cycles
  237. Tue May 21 04:10:20 2019  cycles contain 6100060 unique relations
  238. Tue May 21 04:11:03 2019  read 6100060 relations
  239. Tue May 21 04:11:26 2019  multiplying 6100060 relations
  240. Tue May 21 04:15:26 2019  multiply complete, coefficients have about 148.02 million bits
  241. Tue May 21 04:15:27 2019  initial square root is modulo 205327
  242. Tue May 21 04:19:59 2019  GCD is 1, no factor found
  243. Tue May 21 04:19:59 2019  reading relations for dependency 2
  244. Tue May 21 04:20:00 2019  read 2132006 cycles
  245. Tue May 21 04:20:03 2019  cycles contain 6098624 unique relations
  246. Tue May 21 04:20:46 2019  read 6098624 relations
  247. Tue May 21 04:21:09 2019  multiplying 6098624 relations
  248. Tue May 21 04:25:11 2019  multiply complete, coefficients have about 147.98 million bits
  249. Tue May 21 04:25:12 2019  initial square root is modulo 204557
  250. Tue May 21 04:29:43 2019  GCD is 1, no factor found
  251. Tue May 21 04:29:43 2019  reading relations for dependency 3
  252. Tue May 21 04:29:44 2019  read 2132614 cycles
  253. Tue May 21 04:29:46 2019  cycles contain 6096850 unique relations
  254. Tue May 21 04:30:29 2019  read 6096850 relations
  255. Tue May 21 04:30:53 2019  multiplying 6096850 relations
  256. Tue May 21 04:34:54 2019  multiply complete, coefficients have about 147.94 million bits
  257. Tue May 21 04:34:55 2019  initial square root is modulo 203789
  258. Tue May 21 04:39:27 2019  sqrtTime: 1750
  259. Tue May 21 04:39:27 2019  p101 factor: 26539982851470829552755580519948212531633274584160254491205906425994721691512497960904253081956840097
  260. Tue May 21 04:39:27 2019  p115 factor: 3246213673097400470568980351118581466911007404777938266600864789690901834832891962635010517044250529573541648232801
  261. Tue May 21 04:39:27 2019  elapsed time 09:32:10
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