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Feb 18th, 2018
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  1. Wed Feb 14 09:00:09 2018 Msieve v. 1.53 (SVN unknown)
  2. Wed Feb 14 09:00:09 2018 random seeds: 1b3676d7 e61f8139
  3. Wed Feb 14 09:00:09 2018 factoring 1691258362240878280454178428210930093387995565018686454967377347094043699721437276517346006084343984994009127771016074764883067093211082213169148955695073468059507949955137578606583196114785524503032331459432916909161408179816042086760615819245979012488032667543 (262 digits)
  4. Wed Feb 14 09:00:11 2018 searching for 15-digit factors
  5. Wed Feb 14 09:00:12 2018 commencing number field sieve (262-digit input)
  6. Wed Feb 14 09:00:12 2018 R0: 605292152577983359632734706451399897723780801
  7. Wed Feb 14 09:00:12 2018 R1: -1
  8. Wed Feb 14 09:00:12 2018 A0: -5393
  9. Wed Feb 14 09:00:12 2018 A1: 0
  10. Wed Feb 14 09:00:12 2018 A2: 0
  11. Wed Feb 14 09:00:12 2018 A3: 0
  12. Wed Feb 14 09:00:12 2018 A4: 0
  13. Wed Feb 14 09:00:12 2018 A5: 0
  14. Wed Feb 14 09:00:12 2018 A6: 1
  15. Wed Feb 14 09:00:12 2018 skew 4.19, size 2.116e-13, alpha 0.631, combined = 3.677e-14 rroots = 2
  16. Wed Feb 14 09:00:12 2018
  17. Wed Feb 14 09:00:12 2018 commencing relation filtering
  18. Wed Feb 14 09:00:12 2018 setting max relations to 190000000
  19. Wed Feb 14 09:00:12 2018 setting target matrix density to 120.0
  20. Wed Feb 14 09:00:12 2018 estimated available RAM is 15997.5 MB
  21. Wed Feb 14 09:00:12 2018 commencing duplicate removal, pass 1
  22. Wed Feb 14 09:01:39 2018
  23. Wed Feb 14 09:01:39 2018
  24. Wed Feb 14 09:01:39 2018 Msieve v. 1.53 (SVN unknown)
  25. Wed Feb 14 09:01:39 2018 random seeds: 7e67d074 8f65b6cd
  26. Wed Feb 14 09:01:39 2018 factoring 15420106394864175646956697460687018537255496896008096522537550268413863999071964128123246880858150236150236618717851768444792711346084264069707278037651651645100472752767291966576474365987720132361 (197 digits)
  27. Wed Feb 14 09:01:40 2018 searching for 15-digit factors
  28. Wed Feb 14 09:01:40 2018 commencing number field sieve (197-digit input)
  29. Wed Feb 14 09:01:40 2018 R0: 7645463225990568242011672429536839102186796836095591099
  30. Wed Feb 14 09:01:40 2018 R1: -1
  31. Wed Feb 14 09:01:40 2018 A0: 1
  32. Wed Feb 14 09:01:40 2018 A1: 1
  33. Wed Feb 14 09:01:40 2018 A2: 1
  34. Wed Feb 14 09:01:40 2018 A3: 1
  35. Wed Feb 14 09:01:40 2018 A4: 1
  36. Wed Feb 14 09:01:40 2018 skew 1.00, size 2.279e-22, alpha 1.694, combined = 2.420e-13 rroots = 0
  37. Wed Feb 14 09:01:40 2018
  38. Wed Feb 14 09:01:40 2018 commencing relation filtering
  39. Wed Feb 14 09:01:40 2018 setting max relations to 190000000
  40. Wed Feb 14 09:01:40 2018 setting target matrix density to 120.0
  41. Wed Feb 14 09:01:40 2018 estimated available RAM is 15997.5 MB
  42. Wed Feb 14 09:01:40 2018 commencing duplicate removal, pass 1
  43. Wed Feb 14 09:03:39 2018 error -15 reading relation 17225436
  44. Wed Feb 14 09:03:42 2018 error -1 reading relation 17674668
  45. Wed Feb 14 09:03:49 2018 error -15 reading relation 18616115
  46. Wed Feb 14 09:20:06 2018 error -15 reading relation 161704355
  47. Wed Feb 14 09:21:40 2018 error -1 reading relation 175644569
  48. Wed Feb 14 09:21:40 2018 error -11 reading relation 175644571
  49. [ . . . removed 6000 lines of mostly error -1 & -11 . . . ]
  50. Wed Feb 14 09:21:41 2018 error -11 reading relation 175657260
  51. Wed Feb 14 09:21:41 2018 error -11 reading relation 175657261
  52. Wed Feb 14 09:22:04 2018 error -15 reading relation 179166149
  53. Wed Feb 14 09:23:18 2018 skipped 600 relations with b > 2^32
  54. Wed Feb 14 09:23:18 2018 skipped 6959 relations with composite factors
  55. Wed Feb 14 09:23:18 2018 found 7929528 hash collisions in 189986682 relations
  56. Wed Feb 14 09:23:18 2018 commencing duplicate removal, pass 2
  57. Wed Feb 14 09:24:13 2018 found 0 duplicates and 189986682 unique relations
  58. Wed Feb 14 09:24:13 2018 memory use: 522.4 MB
  59. Wed Feb 14 09:24:13 2018 reading ideals above 159973376
  60. Wed Feb 14 09:24:13 2018 commencing singleton removal, initial pass
  61. Wed Feb 14 09:39:48 2018 memory use: 3012.0 MB
  62. Wed Feb 14 09:39:48 2018 reading all ideals from disk
  63. Wed Feb 14 09:39:56 2018 memory use: 3360.0 MB
  64. Wed Feb 14 09:40:05 2018 commencing in-memory singleton removal
  65. Wed Feb 14 09:40:12 2018 begin with 189986682 relations and 156309334 unique ideals
  66. Wed Feb 14 09:41:28 2018 reduce to 126802710 relations and 86995239 ideals in 14 passes
  67. Wed Feb 14 09:41:28 2018 max relations containing the same ideal: 52
  68. Wed Feb 14 09:41:36 2018 reading ideals above 720000
  69. Wed Feb 14 09:41:36 2018 commencing singleton removal, initial pass
  70. Wed Feb 14 09:54:45 2018 memory use: 2756.0 MB
  71. Wed Feb 14 09:54:46 2018 reading all ideals from disk
  72. Wed Feb 14 09:54:59 2018 memory use: 4987.0 MB
  73. Wed Feb 14 09:55:12 2018 keeping 104304957 ideals with weight <= 200, target excess is 629209
  74. Wed Feb 14 09:55:26 2018 commencing in-memory singleton removal
  75. Wed Feb 14 09:55:36 2018 begin with 126802710 relations and 104304957 unique ideals
  76. Wed Feb 14 09:57:02 2018 reduce to 126728338 relations and 104230575 ideals in 9 passes
  77. Wed Feb 14 09:57:02 2018 max relations containing the same ideal: 200
  78. Wed Feb 14 09:57:52 2018 removing 10794193 relations and 8794193 ideals in 2000000 cliques
  79. Wed Feb 14 09:57:55 2018 commencing in-memory singleton removal
  80. Wed Feb 14 09:58:05 2018 begin with 115934145 relations and 104230575 unique ideals
  81. Wed Feb 14 09:59:15 2018 reduce to 115171733 relations and 94658175 ideals in 8 passes
  82. Wed Feb 14 09:59:15 2018 max relations containing the same ideal: 196
  83. Wed Feb 14 10:00:04 2018 removing 8305980 relations and 6305980 ideals in 2000000 cliques
  84. Wed Feb 14 10:00:07 2018 commencing in-memory singleton removal
  85. Wed Feb 14 10:00:14 2018 begin with 106865753 relations and 94658175 unique ideals
  86. Wed Feb 14 10:01:11 2018 reduce to 106352697 relations and 87829875 ideals in 8 passes
  87. Wed Feb 14 10:01:11 2018 max relations containing the same ideal: 187
  88. Wed Feb 14 10:01:50 2018 removing 7575584 relations and 5575584 ideals in 2000000 cliques
  89. Wed Feb 14 10:01:53 2018 commencing in-memory singleton removal
  90. Wed Feb 14 10:01:59 2018 begin with 98777113 relations and 87829875 unique ideals
  91. Wed Feb 14 10:02:44 2018 reduce to 98318633 relations and 81787355 ideals in 7 passes
  92. Wed Feb 14 10:02:44 2018 max relations containing the same ideal: 182
  93. Wed Feb 14 10:03:22 2018 removing 7223064 relations and 5223064 ideals in 2000000 cliques
  94. Wed Feb 14 10:03:24 2018 commencing in-memory singleton removal
  95. Wed Feb 14 10:03:30 2018 begin with 91095569 relations and 81787355 unique ideals
  96. Wed Feb 14 10:04:19 2018 reduce to 90652961 relations and 76113284 ideals in 8 passes
  97. Wed Feb 14 10:04:19 2018 max relations containing the same ideal: 172
  98. Wed Feb 14 10:04:52 2018 removing 7020205 relations and 5020205 ideals in 2000000 cliques
  99. Wed Feb 14 10:04:54 2018 commencing in-memory singleton removal
  100. Wed Feb 14 10:04:59 2018 begin with 83632756 relations and 76113284 unique ideals
  101. Wed Feb 14 10:05:42 2018 reduce to 83187925 relations and 70639399 ideals in 8 passes
  102. Wed Feb 14 10:05:42 2018 max relations containing the same ideal: 163
  103. Wed Feb 14 10:06:13 2018 removing 6906425 relations and 4906425 ideals in 2000000 cliques
  104. Wed Feb 14 10:06:15 2018 commencing in-memory singleton removal
  105. Wed Feb 14 10:06:20 2018 begin with 76281500 relations and 70639399 unique ideals
  106. Wed Feb 14 10:07:00 2018 reduce to 75818053 relations and 65259516 ideals in 8 passes
  107. Wed Feb 14 10:07:00 2018 max relations containing the same ideal: 152
  108. Wed Feb 14 10:07:28 2018 removing 6854596 relations and 4854596 ideals in 2000000 cliques
  109. Wed Feb 14 10:07:30 2018 commencing in-memory singleton removal
  110. Wed Feb 14 10:07:34 2018 begin with 68963457 relations and 65259516 unique ideals
  111. Wed Feb 14 10:08:06 2018 reduce to 68469126 relations and 59899124 ideals in 7 passes
  112. Wed Feb 14 10:08:06 2018 max relations containing the same ideal: 141
  113. Wed Feb 14 10:08:32 2018 removing 6845653 relations and 4845653 ideals in 2000000 cliques
  114. Wed Feb 14 10:08:35 2018 commencing in-memory singleton removal
  115. Wed Feb 14 10:08:38 2018 begin with 61623473 relations and 59899124 unique ideals
  116. Wed Feb 14 10:09:04 2018 reduce to 61081318 relations and 54497562 ideals in 7 passes
  117. Wed Feb 14 10:09:04 2018 max relations containing the same ideal: 136
  118. Wed Feb 14 10:09:28 2018 removing 6878586 relations and 4878586 ideals in 2000000 cliques
  119. Wed Feb 14 10:09:30 2018 commencing in-memory singleton removal
  120. Wed Feb 14 10:09:33 2018 begin with 54202732 relations and 54497562 unique ideals
  121. Wed Feb 14 10:10:00 2018 reduce to 53591673 relations and 48990686 ideals in 8 passes
  122. Wed Feb 14 10:10:00 2018 max relations containing the same ideal: 125
  123. Wed Feb 14 10:10:19 2018 removing 6953176 relations and 4953176 ideals in 2000000 cliques
  124. Wed Feb 14 10:10:21 2018 commencing in-memory singleton removal
  125. Wed Feb 14 10:10:24 2018 begin with 46638497 relations and 48990686 unique ideals
  126. Wed Feb 14 10:10:46 2018 reduce to 45929067 relations and 43305163 ideals in 8 passes
  127. Wed Feb 14 10:10:46 2018 max relations containing the same ideal: 107
  128. Wed Feb 14 10:11:03 2018 removing 6769867 relations and 4875846 ideals in 1894021 cliques
  129. Wed Feb 14 10:11:05 2018 commencing in-memory singleton removal
  130. Wed Feb 14 10:11:07 2018 begin with 39159200 relations and 43305163 unique ideals
  131. Wed Feb 14 10:11:25 2018 reduce to 38370533 relations and 37612357 ideals in 9 passes
  132. Wed Feb 14 10:11:25 2018 max relations containing the same ideal: 96
  133. Wed Feb 14 10:11:38 2018 removing 220874 relations and 192581 ideals in 28293 cliques
  134. Wed Feb 14 10:11:39 2018 commencing in-memory singleton removal
  135. Wed Feb 14 10:11:41 2018 begin with 38149659 relations and 37612357 unique ideals
  136. Wed Feb 14 10:11:52 2018 reduce to 38148832 relations and 37418949 ideals in 6 passes
  137. Wed Feb 14 10:11:52 2018 max relations containing the same ideal: 96
  138. Wed Feb 14 10:11:59 2018 relations with 0 large ideals: 0
  139. Wed Feb 14 10:11:59 2018 relations with 1 large ideals: 5900
  140. Wed Feb 14 10:11:59 2018 relations with 2 large ideals: 105826
  141. Wed Feb 14 10:11:59 2018 relations with 3 large ideals: 779699
  142. Wed Feb 14 10:11:59 2018 relations with 4 large ideals: 3072325
  143. Wed Feb 14 10:11:59 2018 relations with 5 large ideals: 7190942
  144. Wed Feb 14 10:11:59 2018 relations with 6 large ideals: 10401243
  145. Wed Feb 14 10:11:59 2018 relations with 7+ large ideals: 16592897
  146. Wed Feb 14 10:11:59 2018 commencing 2-way merge
  147. Wed Feb 14 10:12:15 2018 reduce to 24420436 relation sets and 23690553 unique ideals
  148. Wed Feb 14 10:12:15 2018 commencing full merge
  149. Wed Feb 14 10:19:15 2018 memory use: 2959.6 MB
  150. Wed Feb 14 10:19:18 2018 found 10840256 cycles, need 10828753
  151. Wed Feb 14 10:19:20 2018 weight of 10828753 cycles is about 1299671436 (120.02/cycle)
  152. Wed Feb 14 10:19:20 2018 distribution of cycle lengths:
  153. Wed Feb 14 10:19:20 2018 1 relations: 557577
  154. Wed Feb 14 10:19:20 2018 2 relations: 735629
  155. Wed Feb 14 10:19:20 2018 3 relations: 809083
  156. Wed Feb 14 10:19:20 2018 4 relations: 803638
  157. Wed Feb 14 10:19:20 2018 5 relations: 805054
  158. Wed Feb 14 10:19:20 2018 6 relations: 779860
  159. Wed Feb 14 10:19:20 2018 7 relations: 763139
  160. Wed Feb 14 10:19:20 2018 8 relations: 717887
  161. Wed Feb 14 10:19:20 2018 9 relations: 674521
  162. Wed Feb 14 10:19:20 2018 10+ relations: 4182365
  163. Wed Feb 14 10:19:20 2018 heaviest cycle: 28 relations
  164. Wed Feb 14 10:19:22 2018 commencing cycle optimization
  165. Wed Feb 14 10:19:38 2018 start with 94421107 relations
  166. Wed Feb 14 10:22:28 2018 pruned 4299572 relations
  167. Wed Feb 14 10:22:28 2018 memory use: 2543.4 MB
  168. Wed Feb 14 10:22:28 2018 distribution of cycle lengths:
  169. Wed Feb 14 10:22:28 2018 1 relations: 557577
  170. Wed Feb 14 10:22:28 2018 2 relations: 756596
  171. Wed Feb 14 10:22:28 2018 3 relations: 845827
  172. Wed Feb 14 10:22:28 2018 4 relations: 836937
  173. Wed Feb 14 10:22:28 2018 5 relations: 844320
  174. Wed Feb 14 10:22:28 2018 6 relations: 816576
  175. Wed Feb 14 10:22:28 2018 7 relations: 799378
  176. Wed Feb 14 10:22:28 2018 8 relations: 750224
  177. Wed Feb 14 10:22:28 2018 9 relations: 702630
  178. Wed Feb 14 10:22:28 2018 10+ relations: 3918688
  179. Wed Feb 14 10:22:28 2018 heaviest cycle: 28 relations
  180. Wed Feb 14 10:22:49 2018 RelProcTime: 4869
  181. Wed Feb 14 10:22:49 2018
  182. Wed Feb 14 10:22:49 2018 commencing linear algebra
  183. Wed Feb 14 10:22:50 2018 read 10828753 cycles
  184. Wed Feb 14 10:23:10 2018 cycles contain 37692184 unique relations
  185. Wed Feb 14 10:26:00 2018 read 37692184 relations
  186. Wed Feb 14 10:26:58 2018 using 20 quadratic characters above 4294917295
  187. Wed Feb 14 10:29:16 2018 building initial matrix
  188. Wed Feb 14 10:34:47 2018 memory use: 4745.4 MB
  189. Wed Feb 14 10:34:51 2018 read 10828753 cycles
  190. Wed Feb 14 10:34:52 2018 matrix is 10828576 x 10828753 (5054.6 MB) with weight 1443753016 (133.33/col)
  191. Wed Feb 14 10:34:53 2018 sparse part has weight 1205920143 (111.36/col)
  192. Wed Feb 14 10:36:51 2018 filtering completed in 2 passes
  193. Wed Feb 14 10:36:53 2018 matrix is 10828462 x 10828639 (5054.6 MB) with weight 1443749442 (133.33/col)
  194. Wed Feb 14 10:36:53 2018 sparse part has weight 1205919241 (111.36/col)
  195. Wed Feb 14 10:37:21 2018 matrix starts at (0, 0)
  196. Wed Feb 14 10:37:22 2018 matrix is 10828462 x 10828639 (5054.6 MB) with weight 1443749442 (133.33/col)
  197. Wed Feb 14 10:37:22 2018 sparse part has weight 1205919241 (111.36/col)
  198. Wed Feb 14 10:37:22 2018 saving the first 48 matrix rows for later
  199. Wed Feb 14 10:37:24 2018 matrix includes 64 packed rows
  200. Wed Feb 14 10:37:25 2018 matrix is 10828414 x 10828639 (4839.9 MB) with weight 1241591728 (114.66/col)
  201. Wed Feb 14 10:37:25 2018 sparse part has weight 1160460650 (107.17/col)
  202. Wed Feb 14 10:37:25 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  203. Wed Feb 14 10:38:04 2018 commencing Lanczos iteration (4 threads)
  204. Wed Feb 14 10:38:04 2018 memory use: 4114.1 MB
  205. Wed Feb 14 10:39:07 2018 linear algebra at 0.0%, ETA 118h33m
  206. Wed Feb 14 10:39:27 2018 checkpointing every 100000 dimensions
  207. Wed Feb 14 14:04:01 2018 lanczos halted after 5943 iterations (dim = 375809)
  208. Wed Feb 14 14:04:01 2018 BLanczosTime: 13272
  209. Wed Feb 14 14:04:01 2018
  210. Wed Feb 14 14:04:01 2018 commencing square root phase
  211. Wed Feb 14 14:04:01 2018 handling dependencies 1 to 64
  212. Wed Feb 14 14:04:01 2018 reading relations for dependency 1
  213. Wed Feb 14 14:04:04 2018 read 5410290 cycles
  214. Wed Feb 14 14:04:12 2018 cycles contain 18832409 unique relations
  215. Wed Feb 14 14:49:48 2018
  216. Wed Feb 14 14:49:48 2018
  217. Wed Feb 14 14:49:48 2018 Msieve v. 1.53 (SVN unknown)
  218. Wed Feb 14 14:49:48 2018 random seeds: 1ccf7b39 abde8dc3
  219. Wed Feb 14 14:49:48 2018 factoring 15420106394864175646956697460687018537255496896008096522537550268413863999071964128123246880858150236150236618717851768444792711346084264069707278037651651645100472752767291966576474365987720132361 (197 digits)
  220. Wed Feb 14 14:49:49 2018 searching for 15-digit factors
  221. Wed Feb 14 14:49:50 2018 commencing number field sieve (197-digit input)
  222. Wed Feb 14 14:49:50 2018 R0: 7645463225990568242011672429536839102186796836095591099
  223. Wed Feb 14 14:49:50 2018 R1: -1
  224. Wed Feb 14 14:49:50 2018 A0: 1
  225. Wed Feb 14 14:49:50 2018 A1: 1
  226. Wed Feb 14 14:49:50 2018 A2: 1
  227. Wed Feb 14 14:49:50 2018 A3: 1
  228. Wed Feb 14 14:49:50 2018 A4: 1
  229. Wed Feb 14 14:49:50 2018 skew 1.00, size 2.279e-22, alpha 1.694, combined = 2.420e-13 rroots = 0
  230. Wed Feb 14 14:49:50 2018
  231. Wed Feb 14 14:49:50 2018 commencing linear algebra
  232. Wed Feb 14 14:49:50 2018 skipping matrix build
  233. Wed Feb 14 14:50:03 2018 matrix starts at (0, 0)
  234. Wed Feb 14 14:50:04 2018 matrix is 10828462 x 10828639 (5054.6 MB) with weight 1443749442 (133.33/col)
  235. Wed Feb 14 14:50:04 2018 sparse part has weight 1205919241 (111.36/col)
  236. Wed Feb 14 14:50:04 2018 saving the first 48 matrix rows for later
  237. Wed Feb 14 14:50:06 2018 matrix includes 64 packed rows
  238. Wed Feb 14 14:50:07 2018 matrix is 10828414 x 10828639 (4839.9 MB) with weight 1241591728 (114.66/col)
  239. Wed Feb 14 14:50:07 2018 sparse part has weight 1160460650 (107.17/col)
  240. Wed Feb 14 14:50:07 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  241. Wed Feb 14 14:50:46 2018 commencing Lanczos iteration (4 threads)
  242. Wed Feb 14 14:50:46 2018 memory use: 4114.1 MB
  243. Wed Feb 14 14:50:47 2018 restarting at iteration 5943 (dim = 375809)
  244. Wed Feb 14 14:51:28 2018 linear algebra at 3.5%, ETA 78h 6m
  245. Wed Feb 14 14:51:47 2018 checkpointing every 140000 dimensions
  246. Sat Feb 17 14:29:25 2018 lanczos halted after 171248 iterations (dim = 10828411)
  247. Sat Feb 17 14:29:42 2018 recovered 36 nontrivial dependencies
  248. Sat Feb 17 14:29:42 2018 BLanczosTime: 257992
  249. Sat Feb 17 14:29:42 2018
  250. Sat Feb 17 14:29:42 2018 commencing square root phase
  251. Sat Feb 17 14:29:42 2018 handling dependencies 1 to 64
  252. Sat Feb 17 14:29:42 2018 reading relations for dependency 1
  253. Sat Feb 17 14:29:44 2018 read 5414621 cycles
  254. Sat Feb 17 14:29:51 2018 cycles contain 18850414 unique relations
  255. Sat Feb 17 14:31:18 2018 read 18850414 relations
  256. Sat Feb 17 14:32:15 2018 multiplying 18850414 relations
  257. Sat Feb 17 14:37:44 2018 multiply complete, coefficients have about 480.72 million bits
  258. Sat Feb 17 14:37:46 2018 initial square root is modulo 422247587
  259. Sat Feb 17 14:44:29 2018 sqrtTime: 887
  260. Sat Feb 17 14:44:29 2018 p68 factor: 22726767643012661157151921978727041530619824532657908863618310432031
  261. Sat Feb 17 14:44:29 2018 p129 factor: 678499760154193479244955373203903959731616834937418545527716064636547032946529341437803340883755653114621774722043721820057417431
  262. Sat Feb 17 14:44:29 2018 elapsed time 71:54:41
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