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Apr 5th, 2020
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  1. Sun Apr 05 09:39:06 2020
  2. Sun Apr 05 09:39:06 2020
  3. Sun Apr 05 09:39:06 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Apr 05 09:39:06 2020 random seeds: d39db0a8 fe753423
  5. Sun Apr 05 09:39:06 2020 factoring 713023637770841119780389980304763367037810023301429702924395784153199363104775832473252458523025813786657178661885582737913620415164748174249750820936712522561304634081 (168 digits)
  6. Sun Apr 05 09:39:07 2020 searching for 15-digit factors
  7. Sun Apr 05 09:39:07 2020 commencing number field sieve (168-digit input)
  8. Sun Apr 05 09:39:07 2020 R0: 20926286414344552946171251111450056721999751184779
  9. Sun Apr 05 09:39:07 2020 R1: -1
  10. Sun Apr 05 09:39:07 2020 A0: 1
  11. Sun Apr 05 09:39:07 2020 A1: 1
  12. Sun Apr 05 09:39:07 2020 A2: 1
  13. Sun Apr 05 09:39:07 2020 A3: 1
  14. Sun Apr 05 09:39:07 2020 A4: 1
  15. Sun Apr 05 09:39:07 2020 skew 1.00, size 3.826e-020, alpha 1.694, combined = 4.523e-012 rroots = 0
  16. Sun Apr 05 09:39:07 2020
  17. Sun Apr 05 09:39:07 2020 commencing relation filtering
  18. Sun Apr 05 09:39:07 2020 setting target matrix density to 80.0
  19. Sun Apr 05 09:39:07 2020 estimated available RAM is 16335.3 MB
  20. Sun Apr 05 09:39:07 2020 commencing duplicate removal, pass 1
  21. Sun Apr 05 09:39:27 2020 error -9 reading relation 2238130
  22. Sun Apr 05 09:39:32 2020 error -1 reading relation 2862506
  23. Sun Apr 05 09:39:48 2020 error -15 reading relation 4664788
  24. Sun Apr 05 09:39:49 2020 error -9 reading relation 4734408
  25. Sun Apr 05 09:40:42 2020 error -5 reading relation 10773182
  26. Sun Apr 05 09:40:44 2020 error -1 reading relation 11008701
  27. Sun Apr 05 09:41:00 2020 error -1 reading relation 12838191
  28. Sun Apr 05 09:41:00 2020 error -5 reading relation 12882107
  29. Sun Apr 05 09:41:08 2020 error -15 reading relation 13773445
  30. Sun Apr 05 09:41:26 2020 error -15 reading relation 15840604
  31. Sun Apr 05 09:41:27 2020 error -9 reading relation 16006488
  32. Sun Apr 05 09:41:32 2020 error -5 reading relation 16467016
  33. Sun Apr 05 09:41:52 2020 error -9 reading relation 18776429
  34. Sun Apr 05 09:42:04 2020 error -1 reading relation 20170687
  35. Sun Apr 05 09:42:13 2020 error -15 reading relation 21202907
  36. Sun Apr 05 09:42:41 2020 error -9 reading relation 24396571
  37. Sun Apr 05 09:42:42 2020 error -9 reading relation 24505604
  38. Sun Apr 05 09:42:42 2020 error -9 reading relation 24512488
  39. Sun Apr 05 09:42:42 2020 error -9 reading relation 24559944
  40. Sun Apr 05 09:43:24 2020 error -15 reading relation 29366874
  41. Sun Apr 05 09:43:39 2020 error -9 reading relation 31069537
  42. Sun Apr 05 09:43:51 2020 error -9 reading relation 32418370
  43. Sun Apr 05 09:44:27 2020 error -15 reading relation 36611601
  44. Sun Apr 05 09:44:36 2020 error -15 reading relation 37653033
  45. Sun Apr 05 09:45:01 2020 error -9 reading relation 40473586
  46. Sun Apr 05 09:45:09 2020 error -9 reading relation 41451386
  47. Sun Apr 05 09:45:15 2020 error -5 reading relation 42093082
  48. Sun Apr 05 09:45:16 2020 error -5 reading relation 42155484
  49. Sun Apr 05 09:45:18 2020 error -9 reading relation 42466873
  50. Sun Apr 05 09:45:26 2020 error -1 reading relation 43314006
  51. Sun Apr 05 09:45:28 2020 error -9 reading relation 43572600
  52. Sun Apr 05 09:45:41 2020 error -5 reading relation 45026121
  53. Sun Apr 05 09:45:44 2020 error -15 reading relation 45363115
  54. Sun Apr 05 09:45:46 2020 error -15 reading relation 45553450
  55. Sun Apr 05 09:45:46 2020 error -9 reading relation 45618415
  56. Sun Apr 05 09:45:51 2020 error -5 reading relation 46177182
  57. Sun Apr 05 09:45:55 2020 error -9 reading relation 46661442
  58. Sun Apr 05 09:45:56 2020 error -9 reading relation 46689285
  59. Sun Apr 05 09:45:58 2020 error -15 reading relation 46960550
  60. Sun Apr 05 09:45:58 2020 error -1 reading relation 47002542
  61. Sun Apr 05 09:45:59 2020 error -9 reading relation 47038621
  62. Sun Apr 05 09:45:59 2020 error -9 reading relation 47117095
  63. Sun Apr 05 09:46:01 2020 error -9 reading relation 47306370
  64. Sun Apr 05 09:46:01 2020 error -9 reading relation 47326451
  65. Sun Apr 05 09:46:05 2020 error -9 reading relation 47708247
  66. Sun Apr 05 09:46:07 2020 error -9 reading relation 48023001
  67. Sun Apr 05 09:46:08 2020 error -9 reading relation 48058765
  68. Sun Apr 05 09:46:08 2020 error -9 reading relation 48083649
  69. Sun Apr 05 09:46:08 2020 error -5 reading relation 48084906
  70. Sun Apr 05 09:46:08 2020 error -9 reading relation 48091233
  71. Sun Apr 05 09:46:12 2020 error -9 reading relation 48495883
  72. Sun Apr 05 09:46:15 2020 error -9 reading relation 48888088
  73. Sun Apr 05 09:46:22 2020 error -9 reading relation 49677375
  74. Sun Apr 05 09:46:28 2020 error -15 reading relation 50358665
  75. Sun Apr 05 09:46:30 2020 error -15 reading relation 50555682
  76. Sun Apr 05 09:46:35 2020 error -1 reading relation 51133312
  77. Sun Apr 05 09:46:37 2020 error -9 reading relation 51405692
  78. Sun Apr 05 09:46:41 2020 error -9 reading relation 51857958
  79. Sun Apr 05 09:46:43 2020 error -15 reading relation 52041597
  80. Sun Apr 05 09:46:43 2020 error -9 reading relation 52086923
  81. Sun Apr 05 09:46:48 2020 error -15 reading relation 52565826
  82. Sun Apr 05 09:46:49 2020 error -9 reading relation 52695518
  83. Sun Apr 05 09:46:51 2020 error -9 reading relation 52984012
  84. Sun Apr 05 09:46:55 2020 error -9 reading relation 53438411
  85. Sun Apr 05 09:47:01 2020 error -15 reading relation 54070783
  86. Sun Apr 05 09:47:07 2020 error -9 reading relation 54805587
  87. Sun Apr 05 09:47:08 2020 error -1 reading relation 54823073
  88. Sun Apr 05 09:47:10 2020 error -1 reading relation 55075683
  89. Sun Apr 05 09:47:10 2020 error -9 reading relation 55081178
  90. Sun Apr 05 09:47:19 2020 error -5 reading relation 56079799
  91. Sun Apr 05 09:47:22 2020 error -9 reading relation 56499681
  92. Sun Apr 05 09:47:24 2020 error -9 reading relation 56630837
  93. Sun Apr 05 09:47:24 2020 error -9 reading relation 56639240
  94. Sun Apr 05 09:47:25 2020 error -1 reading relation 56775342
  95. Sun Apr 05 09:47:28 2020 error -1 reading relation 57148643
  96. Sun Apr 05 09:47:28 2020 error -1 reading relation 57148644
  97. Sun Apr 05 09:47:28 2020 error -9 reading relation 57160197
  98. Sun Apr 05 09:47:31 2020 error -5 reading relation 57494746
  99. Sun Apr 05 09:47:32 2020 error -9 reading relation 57598649
  100. Sun Apr 05 09:47:34 2020 error -5 reading relation 57797874
  101. Sun Apr 05 09:47:34 2020 error -9 reading relation 57804553
  102. Sun Apr 05 09:47:35 2020 error -9 reading relation 57983706
  103. Sun Apr 05 09:47:36 2020 error -15 reading relation 57989828
  104. Sun Apr 05 09:47:36 2020 error -9 reading relation 58029768
  105. Sun Apr 05 09:47:41 2020 error -9 reading relation 58624718
  106. Sun Apr 05 09:47:45 2020 error -6 reading relation 59083679
  107. Sun Apr 05 09:47:52 2020 error -9 reading relation 59801104
  108. Sun Apr 05 09:47:52 2020 error -5 reading relation 59890622
  109. Sun Apr 05 09:47:53 2020 skipped 16 relations with b > 2^32
  110. Sun Apr 05 09:47:53 2020 skipped 50 relations with composite factors
  111. Sun Apr 05 09:47:53 2020 found 10667842 hash collisions in 59981962 relations
  112. Sun Apr 05 09:48:03 2020 added 3655523 free relations
  113. Sun Apr 05 09:48:03 2020 commencing duplicate removal, pass 2
  114. Sun Apr 05 09:49:12 2020 found 9966606 duplicates and 53670879 unique relations
  115. Sun Apr 05 09:49:12 2020 memory use: 330.4 MB
  116. Sun Apr 05 09:49:12 2020 reading ideals above 720000
  117. Sun Apr 05 09:49:12 2020 commencing singleton removal, initial pass
  118. Sun Apr 05 09:56:28 2020 memory use: 1378.0 MB
  119. Sun Apr 05 09:56:28 2020 reading all ideals from disk
  120. Sun Apr 05 09:56:29 2020 memory use: 1866.2 MB
  121. Sun Apr 05 09:56:32 2020 keeping 47153087 ideals with weight <= 200, target excess is 290624
  122. Sun Apr 05 09:56:37 2020 commencing in-memory singleton removal
  123. Sun Apr 05 09:56:40 2020 begin with 53670879 relations and 47153087 unique ideals
  124. Sun Apr 05 09:57:14 2020 reduce to 36577429 relations and 28266807 ideals in 12 passes
  125. Sun Apr 05 09:57:14 2020 max relations containing the same ideal: 166
  126. Sun Apr 05 09:57:27 2020 removing 4464376 relations and 3464376 ideals in 1000000 cliques
  127. Sun Apr 05 09:57:28 2020 commencing in-memory singleton removal
  128. Sun Apr 05 09:57:30 2020 begin with 32113053 relations and 28266807 unique ideals
  129. Sun Apr 05 09:57:48 2020 reduce to 31587276 relations and 24257246 ideals in 8 passes
  130. Sun Apr 05 09:57:48 2020 max relations containing the same ideal: 152
  131. Sun Apr 05 09:57:59 2020 removing 3465689 relations and 2465689 ideals in 1000000 cliques
  132. Sun Apr 05 09:58:00 2020 commencing in-memory singleton removal
  133. Sun Apr 05 09:58:02 2020 begin with 28121587 relations and 24257246 unique ideals
  134. Sun Apr 05 09:58:15 2020 reduce to 27789849 relations and 21448307 ideals in 7 passes
  135. Sun Apr 05 09:58:15 2020 max relations containing the same ideal: 141
  136. Sun Apr 05 09:58:25 2020 removing 3181921 relations and 2181921 ideals in 1000000 cliques
  137. Sun Apr 05 09:58:26 2020 commencing in-memory singleton removal
  138. Sun Apr 05 09:58:28 2020 begin with 24607928 relations and 21448307 unique ideals
  139. Sun Apr 05 09:58:39 2020 reduce to 24320742 relations and 18968649 ideals in 7 passes
  140. Sun Apr 05 09:58:39 2020 max relations containing the same ideal: 129
  141. Sun Apr 05 09:58:48 2020 removing 3038369 relations and 2038370 ideals in 1000000 cliques
  142. Sun Apr 05 09:58:49 2020 commencing in-memory singleton removal
  143. Sun Apr 05 09:58:50 2020 begin with 21282373 relations and 18968649 unique ideals
  144. Sun Apr 05 09:59:00 2020 reduce to 21006970 relations and 16643961 ideals in 7 passes
  145. Sun Apr 05 09:59:00 2020 max relations containing the same ideal: 116
  146. Sun Apr 05 09:59:07 2020 removing 2949427 relations and 1949427 ideals in 1000000 cliques
  147. Sun Apr 05 09:59:08 2020 commencing in-memory singleton removal
  148. Sun Apr 05 09:59:09 2020 begin with 18057543 relations and 16643961 unique ideals
  149. Sun Apr 05 09:59:17 2020 reduce to 17778623 relations and 14403285 ideals in 7 passes
  150. Sun Apr 05 09:59:17 2020 max relations containing the same ideal: 106
  151. Sun Apr 05 09:59:24 2020 removing 2884694 relations and 1884694 ideals in 1000000 cliques
  152. Sun Apr 05 09:59:25 2020 commencing in-memory singleton removal
  153. Sun Apr 05 09:59:25 2020 begin with 14893929 relations and 14403285 unique ideals
  154. Sun Apr 05 09:59:33 2020 reduce to 14599632 relations and 12209590 ideals in 8 passes
  155. Sun Apr 05 09:59:33 2020 max relations containing the same ideal: 92
  156. Sun Apr 05 09:59:38 2020 removing 2830023 relations and 1830023 ideals in 1000000 cliques
  157. Sun Apr 05 09:59:39 2020 commencing in-memory singleton removal
  158. Sun Apr 05 09:59:39 2020 begin with 11769609 relations and 12209590 unique ideals
  159. Sun Apr 05 09:59:45 2020 reduce to 11444619 relations and 10034633 ideals in 7 passes
  160. Sun Apr 05 09:59:45 2020 max relations containing the same ideal: 81
  161. Sun Apr 05 09:59:49 2020 removing 2779830 relations and 1779830 ideals in 1000000 cliques
  162. Sun Apr 05 09:59:49 2020 commencing in-memory singleton removal
  163. Sun Apr 05 09:59:50 2020 begin with 8664789 relations and 10034633 unique ideals
  164. Sun Apr 05 09:59:54 2020 reduce to 8270794 relations and 7830337 ideals in 8 passes
  165. Sun Apr 05 09:59:54 2020 max relations containing the same ideal: 65
  166. Sun Apr 05 09:59:57 2020 removing 449918 relations and 346585 ideals in 103333 cliques
  167. Sun Apr 05 09:59:57 2020 commencing in-memory singleton removal
  168. Sun Apr 05 09:59:58 2020 begin with 7820876 relations and 7830337 unique ideals
  169. Sun Apr 05 10:00:01 2020 reduce to 7800879 relations and 7463482 ideals in 6 passes
  170. Sun Apr 05 10:00:01 2020 max relations containing the same ideal: 61
  171. Sun Apr 05 10:00:04 2020 relations with 0 large ideals: 20697
  172. Sun Apr 05 10:00:04 2020 relations with 1 large ideals: 5523
  173. Sun Apr 05 10:00:04 2020 relations with 2 large ideals: 65475
  174. Sun Apr 05 10:00:04 2020 relations with 3 large ideals: 380265
  175. Sun Apr 05 10:00:04 2020 relations with 4 large ideals: 1164817
  176. Sun Apr 05 10:00:04 2020 relations with 5 large ideals: 2266500
  177. Sun Apr 05 10:00:04 2020 relations with 6 large ideals: 2004648
  178. Sun Apr 05 10:00:04 2020 relations with 7+ large ideals: 1892954
  179. Sun Apr 05 10:00:04 2020 commencing 2-way merge
  180. Sun Apr 05 10:00:08 2020 reduce to 5319311 relation sets and 4981914 unique ideals
  181. Sun Apr 05 10:00:08 2020 commencing full merge
  182. Sun Apr 05 10:01:13 2020 memory use: 598.4 MB
  183. Sun Apr 05 10:01:14 2020 found 2669314 cycles, need 2624114
  184. Sun Apr 05 10:01:14 2020 weight of 2624114 cycles is about 210115202 (80.07/cycle)
  185. Sun Apr 05 10:01:14 2020 distribution of cycle lengths:
  186. Sun Apr 05 10:01:14 2020 1 relations: 149919
  187. Sun Apr 05 10:01:14 2020 2 relations: 216603
  188. Sun Apr 05 10:01:14 2020 3 relations: 258880
  189. Sun Apr 05 10:01:14 2020 4 relations: 273640
  190. Sun Apr 05 10:01:14 2020 5 relations: 271887
  191. Sun Apr 05 10:01:14 2020 6 relations: 257080
  192. Sun Apr 05 10:01:14 2020 7 relations: 234088
  193. Sun Apr 05 10:01:14 2020 8 relations: 205156
  194. Sun Apr 05 10:01:14 2020 9 relations: 173743
  195. Sun Apr 05 10:01:14 2020 10+ relations: 583118
  196. Sun Apr 05 10:01:14 2020 heaviest cycle: 23 relations
  197. Sun Apr 05 10:01:15 2020 commencing cycle optimization
  198. Sun Apr 05 10:01:18 2020 start with 17423449 relations
  199. Sun Apr 05 10:01:45 2020 pruned 653236 relations
  200. Sun Apr 05 10:01:45 2020 memory use: 504.4 MB
  201. Sun Apr 05 10:01:45 2020 distribution of cycle lengths:
  202. Sun Apr 05 10:01:45 2020 1 relations: 149919
  203. Sun Apr 05 10:01:45 2020 2 relations: 221347
  204. Sun Apr 05 10:01:45 2020 3 relations: 270099
  205. Sun Apr 05 10:01:45 2020 4 relations: 285348
  206. Sun Apr 05 10:01:45 2020 5 relations: 285496
  207. Sun Apr 05 10:01:45 2020 6 relations: 267955
  208. Sun Apr 05 10:01:45 2020 7 relations: 243405
  209. Sun Apr 05 10:01:45 2020 8 relations: 209831
  210. Sun Apr 05 10:01:45 2020 9 relations: 175001
  211. Sun Apr 05 10:01:45 2020 10+ relations: 515713
  212. Sun Apr 05 10:01:45 2020 heaviest cycle: 22 relations
  213. Sun Apr 05 10:01:47 2020 RelProcTime: 1360
  214. Sun Apr 05 10:01:47 2020
  215. Sun Apr 05 10:01:47 2020 commencing linear algebra
  216. Sun Apr 05 10:01:48 2020 read 2624114 cycles
  217. Sun Apr 05 10:01:52 2020 cycles contain 7634022 unique relations
  218. Sun Apr 05 10:03:23 2020 read 7634022 relations
  219. Sun Apr 05 10:03:32 2020 using 20 quadratic characters above 4294917295
  220. Sun Apr 05 10:04:06 2020 building initial matrix
  221. Sun Apr 05 10:05:10 2020 memory use: 968.6 MB
  222. Sun Apr 05 10:05:11 2020 read 2624114 cycles
  223. Sun Apr 05 10:05:12 2020 matrix is 2623937 x 2624114 (876.8 MB) with weight 254699250 (97.06/col)
  224. Sun Apr 05 10:05:12 2020 sparse part has weight 200992453 (76.59/col)
  225. Sun Apr 05 10:05:32 2020 filtering completed in 2 passes
  226. Sun Apr 05 10:05:33 2020 matrix is 2623480 x 2623653 (876.8 MB) with weight 254684604 (97.07/col)
  227. Sun Apr 05 10:05:33 2020 sparse part has weight 200986879 (76.61/col)
  228. Sun Apr 05 10:05:38 2020 matrix starts at (0, 0)
  229. Sun Apr 05 10:05:38 2020 matrix is 2623480 x 2623653 (876.8 MB) with weight 254684604 (97.07/col)
  230. Sun Apr 05 10:05:38 2020 sparse part has weight 200986879 (76.61/col)
  231. Sun Apr 05 10:05:38 2020 saving the first 112 matrix rows for later
  232. Sun Apr 05 10:05:39 2020 matrix includes 128 packed rows
  233. Sun Apr 05 10:05:39 2020 matrix is 2623368 x 2623653 (810.1 MB) with weight 192630423 (73.42/col)
  234. Sun Apr 05 10:05:39 2020 sparse part has weight 180870388 (68.94/col)
  235. Sun Apr 05 10:05:39 2020 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  236. Sun Apr 05 10:05:46 2020 commencing Lanczos iteration (8 threads)
  237. Sun Apr 05 10:05:46 2020 memory use: 944.3 MB
  238. Sun Apr 05 10:05:53 2020 linear algebra at 0.1%, ETA 2h51m
  239. Sun Apr 05 10:05:55 2020 checkpointing every 920000 dimensions
  240. Sun Apr 05 12:59:38 2020 lanczos halted after 20619 iterations (dim = 2623365)
  241. Sun Apr 05 12:59:45 2020 recovered 36 nontrivial dependencies
  242. Sun Apr 05 12:59:46 2020 BLanczosTime: 10679
  243. Sun Apr 05 12:59:46 2020
  244. Sun Apr 05 12:59:46 2020 commencing square root phase
  245. Sun Apr 05 12:59:46 2020 handling dependencies 1 to 64
  246. Sun Apr 05 12:59:46 2020 reading relations for dependency 1
  247. Sun Apr 05 12:59:46 2020 read 1311866 cycles
  248. Sun Apr 05 12:59:48 2020 cycles contain 3818368 unique relations
  249. Sun Apr 05 13:00:58 2020 read 3818368 relations
  250. Sun Apr 05 13:01:12 2020 multiplying 3818368 relations
  251. Sun Apr 05 13:02:15 2020 multiply complete, coefficients have about 93.47 million bits
  252. Sun Apr 05 13:02:15 2020 initial square root is modulo 5116667
  253. Sun Apr 05 13:03:38 2020 sqrtTime: 232
  254. Sun Apr 05 13:03:38 2020 p83 factor: 27216310954374471492550397745545443907339059098696122411596089312820163750295454981
  255. Sun Apr 05 13:03:38 2020 p86 factor: 26198394005938449643220622324497559796132647310561448128424899870193849714212762701101
  256. Sun Apr 05 13:03:38 2020 elapsed time 03:24:32
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