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Oct 14th, 2018
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  1. Thu Oct 11 15:13:41 2018
  2. Thu Oct 11 15:13:41 2018 Msieve v. 1.54 (SVN 1025)
  3. Thu Oct 11 15:13:41 2018 random seeds: 314c98c6 a556d70d
  4. Thu Oct 11 15:13:41 2018 factoring 342979604182615255258693254421748108228322604383289993800565370414344839359283788981547172276819546740023979366342120920148747230565238271359993792909152771442330156630035414193369265772093168266608867254556175688641 (216 digits)
  5. Thu Oct 11 15:13:42 2018 searching for 15-digit factors
  6. Thu Oct 11 15:13:42 2018 commencing number field sieve (216-digit input)
  7. Thu Oct 11 15:13:42 2018 R0: 307922032948643297482606520455058607199
  8. Thu Oct 11 15:13:42 2018 R1: -1
  9. Thu Oct 11 15:13:42 2018 A0: -49852639
  10. Thu Oct 11 15:13:42 2018 A1: 0
  11. Thu Oct 11 15:13:42 2018 A2: 0
  12. Thu Oct 11 15:13:42 2018 A3: 0
  13. Thu Oct 11 15:13:42 2018 A4: 0
  14. Thu Oct 11 15:13:42 2018 A5: 0
  15. Thu Oct 11 15:13:42 2018 A6: 1
  16. Thu Oct 11 15:13:42 2018 skew 19.18, size 4.522e-12, alpha 0.600, combined = 3.722e-13 rroots = 2
  17. Thu Oct 11 15:13:42 2018
  18. Thu Oct 11 15:13:42 2018 commencing relation filtering
  19. Thu Oct 11 15:13:42 2018 setting target matrix density to 128.0
  20. Thu Oct 11 15:13:42 2018 estimated available RAM is 16007.4 MB
  21. Thu Oct 11 15:13:42 2018 commencing duplicate removal, pass 1
  22. Thu Oct 11 15:22:32 2018 error -1 reading relation 79379561
  23. Thu Oct 11 15:26:39 2018 error -11 reading relation 116528649
  24. Thu Oct 11 15:27:12 2018 error -5 reading relation 121476890
  25. Thu Oct 11 15:27:16 2018 error -5 reading relation 121979330
  26. Thu Oct 11 15:28:54 2018 error -15 reading relation 136789639
  27. Thu Oct 11 15:29:01 2018 error -15 reading relation 137754647
  28. Thu Oct 11 15:29:22 2018 error -1 reading relation 140958761
  29. Thu Oct 11 15:29:49 2018 error -6 reading relation 144871864
  30. Thu Oct 11 15:31:00 2018 error -5 reading relation 155534526
  31. Thu Oct 11 15:34:45 2018 error -5 reading relation 189027378
  32. Thu Oct 11 15:35:07 2018 skipped 2 relations with b > 2^32
  33. Thu Oct 11 15:35:07 2018 skipped 3 relations with composite factors
  34. Thu Oct 11 15:35:07 2018 found 8020130 hash collisions in 191140153 relations
  35. Thu Oct 11 15:35:17 2018 commencing duplicate removal, pass 2
  36. Thu Oct 11 15:36:13 2018 found 0 duplicates and 191140153 unique relations
  37. Thu Oct 11 15:36:13 2018 memory use: 522.4 MB
  38. Thu Oct 11 15:36:13 2018 reading ideals above 135069696
  39. Thu Oct 11 15:36:13 2018 commencing singleton removal, initial pass
  40. Thu Oct 11 15:52:13 2018 memory use: 3012.0 MB
  41. Thu Oct 11 15:52:13 2018 reading all ideals from disk
  42. Thu Oct 11 15:52:20 2018 memory use: 3357.0 MB
  43. Thu Oct 11 15:52:26 2018 commencing in-memory singleton removal
  44. Thu Oct 11 15:52:32 2018 begin with 191140153 relations and 158330116 unique ideals
  45. Thu Oct 11 15:53:50 2018 reduce to 122189889 relations and 82120788 ideals in 15 passes
  46. Thu Oct 11 15:53:50 2018 max relations containing the same ideal: 41
  47. Thu Oct 11 15:53:56 2018 reading ideals above 720000
  48. Thu Oct 11 15:53:56 2018 commencing singleton removal, initial pass
  49. Thu Oct 11 16:07:05 2018 memory use: 2756.0 MB
  50. Thu Oct 11 16:07:05 2018 reading all ideals from disk
  51. Thu Oct 11 16:07:17 2018 memory use: 4758.8 MB
  52. Thu Oct 11 16:07:28 2018 keeping 96786952 ideals with weight <= 200, target excess is 626053
  53. Thu Oct 11 16:07:41 2018 commencing in-memory singleton removal
  54. Thu Oct 11 16:07:50 2018 begin with 122189889 relations and 96786952 unique ideals
  55. Thu Oct 11 16:08:29 2018 reduce to 122189672 relations and 96786735 ideals in 4 passes
  56. Thu Oct 11 16:08:29 2018 max relations containing the same ideal: 200
  57. Thu Oct 11 16:09:16 2018 removing 10712635 relations and 8712635 ideals in 2000000 cliques
  58. Thu Oct 11 16:09:19 2018 commencing in-memory singleton removal
  59. Thu Oct 11 16:09:28 2018 begin with 111477037 relations and 96786735 unique ideals
  60. Thu Oct 11 16:10:41 2018 reduce to 110800489 relations and 87383537 ideals in 8 passes
  61. Thu Oct 11 16:10:41 2018 max relations containing the same ideal: 195
  62. Thu Oct 11 16:11:24 2018 removing 8120127 relations and 6120127 ideals in 2000000 cliques
  63. Thu Oct 11 16:11:27 2018 commencing in-memory singleton removal
  64. Thu Oct 11 16:11:33 2018 begin with 102680362 relations and 87383537 unique ideals
  65. Thu Oct 11 16:12:34 2018 reduce to 102229593 relations and 80804527 ideals in 8 passes
  66. Thu Oct 11 16:12:34 2018 max relations containing the same ideal: 186
  67. Thu Oct 11 16:13:10 2018 removing 7352591 relations and 5352591 ideals in 2000000 cliques
  68. Thu Oct 11 16:13:13 2018 commencing in-memory singleton removal
  69. Thu Oct 11 16:13:19 2018 begin with 94877002 relations and 80804527 unique ideals
  70. Thu Oct 11 16:14:07 2018 reduce to 94484187 relations and 75051827 ideals in 7 passes
  71. Thu Oct 11 16:14:07 2018 max relations containing the same ideal: 181
  72. Thu Oct 11 16:14:40 2018 removing 6952246 relations and 4952246 ideals in 2000000 cliques
  73. Thu Oct 11 16:14:42 2018 commencing in-memory singleton removal
  74. Thu Oct 11 16:14:48 2018 begin with 87531941 relations and 75051827 unique ideals
  75. Thu Oct 11 16:15:26 2018 reduce to 87165458 relations and 69726136 ideals in 6 passes
  76. Thu Oct 11 16:15:26 2018 max relations containing the same ideal: 170
  77. Thu Oct 11 16:15:57 2018 removing 6691086 relations and 4691086 ideals in 2000000 cliques
  78. Thu Oct 11 16:15:59 2018 commencing in-memory singleton removal
  79. Thu Oct 11 16:16:04 2018 begin with 80474372 relations and 69726136 unique ideals
  80. Thu Oct 11 16:16:44 2018 reduce to 80117741 relations and 64671212 ideals in 7 passes
  81. Thu Oct 11 16:16:44 2018 max relations containing the same ideal: 160
  82. Thu Oct 11 16:17:13 2018 removing 6510841 relations and 4510841 ideals in 2000000 cliques
  83. Thu Oct 11 16:17:15 2018 commencing in-memory singleton removal
  84. Thu Oct 11 16:17:20 2018 begin with 73606900 relations and 64671212 unique ideals
  85. Thu Oct 11 16:17:56 2018 reduce to 73256431 relations and 59802248 ideals in 7 passes
  86. Thu Oct 11 16:17:56 2018 max relations containing the same ideal: 150
  87. Thu Oct 11 16:18:22 2018 removing 6372986 relations and 4372986 ideals in 2000000 cliques
  88. Thu Oct 11 16:18:25 2018 commencing in-memory singleton removal
  89. Thu Oct 11 16:18:29 2018 begin with 66883445 relations and 59802248 unique ideals
  90. Thu Oct 11 16:19:02 2018 reduce to 66527222 relations and 55064596 ideals in 7 passes
  91. Thu Oct 11 16:19:02 2018 max relations containing the same ideal: 142
  92. Thu Oct 11 16:19:26 2018 removing 6266992 relations and 4266992 ideals in 2000000 cliques
  93. Thu Oct 11 16:19:28 2018 commencing in-memory singleton removal
  94. Thu Oct 11 16:19:31 2018 begin with 60260230 relations and 55064596 unique ideals
  95. Thu Oct 11 16:20:01 2018 reduce to 59894089 relations and 50421871 ideals in 7 passes
  96. Thu Oct 11 16:20:01 2018 max relations containing the same ideal: 135
  97. Thu Oct 11 16:20:22 2018 removing 6178281 relations and 4178281 ideals in 2000000 cliques
  98. Thu Oct 11 16:20:24 2018 commencing in-memory singleton removal
  99. Thu Oct 11 16:20:28 2018 begin with 53715808 relations and 50421871 unique ideals
  100. Thu Oct 11 16:20:53 2018 reduce to 53330096 relations and 45846999 ideals in 7 passes
  101. Thu Oct 11 16:20:53 2018 max relations containing the same ideal: 128
  102. Thu Oct 11 16:21:13 2018 removing 6104422 relations and 4104422 ideals in 2000000 cliques
  103. Thu Oct 11 16:21:14 2018 commencing in-memory singleton removal
  104. Thu Oct 11 16:21:17 2018 begin with 47225674 relations and 45846999 unique ideals
  105. Thu Oct 11 16:21:40 2018 reduce to 46807438 relations and 41311070 ideals in 7 passes
  106. Thu Oct 11 16:21:40 2018 max relations containing the same ideal: 117
  107. Thu Oct 11 16:21:57 2018 removing 6052853 relations and 4052853 ideals in 2000000 cliques
  108. Thu Oct 11 16:21:58 2018 commencing in-memory singleton removal
  109. Thu Oct 11 16:22:01 2018 begin with 40754585 relations and 41311070 unique ideals
  110. Thu Oct 11 16:22:20 2018 reduce to 40285667 relations and 36772252 ideals in 7 passes
  111. Thu Oct 11 16:22:20 2018 max relations containing the same ideal: 106
  112. Thu Oct 11 16:22:34 2018 removing 6026162 relations and 4026162 ideals in 2000000 cliques
  113. Thu Oct 11 16:22:36 2018 commencing in-memory singleton removal
  114. Thu Oct 11 16:22:38 2018 begin with 34259505 relations and 36772252 unique ideals
  115. Thu Oct 11 16:22:54 2018 reduce to 33696756 relations and 32160171 ideals in 7 passes
  116. Thu Oct 11 16:22:54 2018 max relations containing the same ideal: 91
  117. Thu Oct 11 16:23:06 2018 removing 2900151 relations and 2089788 ideals in 810363 cliques
  118. Thu Oct 11 16:23:07 2018 commencing in-memory singleton removal
  119. Thu Oct 11 16:23:09 2018 begin with 30796605 relations and 32160171 unique ideals
  120. Thu Oct 11 16:23:23 2018 reduce to 30622542 relations and 29892705 ideals in 7 passes
  121. Thu Oct 11 16:23:23 2018 max relations containing the same ideal: 86
  122. Thu Oct 11 16:23:38 2018 relations with 0 large ideals: 22872
  123. Thu Oct 11 16:23:38 2018 relations with 1 large ideals: 12142
  124. Thu Oct 11 16:23:38 2018 relations with 2 large ideals: 132127
  125. Thu Oct 11 16:23:38 2018 relations with 3 large ideals: 863132
  126. Thu Oct 11 16:23:38 2018 relations with 4 large ideals: 3031895
  127. Thu Oct 11 16:23:38 2018 relations with 5 large ideals: 6311998
  128. Thu Oct 11 16:23:38 2018 relations with 6 large ideals: 8193069
  129. Thu Oct 11 16:23:38 2018 relations with 7+ large ideals: 12055307
  130. Thu Oct 11 16:23:38 2018 commencing 2-way merge
  131. Thu Oct 11 16:23:53 2018 reduce to 20791232 relation sets and 20061395 unique ideals
  132. Thu Oct 11 16:23:53 2018 commencing full merge
  133. Thu Oct 11 16:30:44 2018 memory use: 2644.1 MB
  134. Thu Oct 11 16:30:46 2018 found 9089001 cycles, need 9085595
  135. Thu Oct 11 16:30:48 2018 weight of 9085595 cycles is about 1163545096 (128.06/cycle)
  136. Thu Oct 11 16:30:48 2018 distribution of cycle lengths:
  137. Thu Oct 11 16:30:48 2018 1 relations: 244792
  138. Thu Oct 11 16:30:48 2018 2 relations: 423268
  139. Thu Oct 11 16:30:48 2018 3 relations: 539069
  140. Thu Oct 11 16:30:48 2018 4 relations: 590688
  141. Thu Oct 11 16:30:48 2018 5 relations: 634535
  142. Thu Oct 11 16:30:48 2018 6 relations: 648988
  143. Thu Oct 11 16:30:48 2018 7 relations: 647519
  144. Thu Oct 11 16:30:48 2018 8 relations: 637501
  145. Thu Oct 11 16:30:48 2018 9 relations: 608230
  146. Thu Oct 11 16:30:48 2018 10+ relations: 4111005
  147. Thu Oct 11 16:30:48 2018 heaviest cycle: 28 relations
  148. Thu Oct 11 16:30:50 2018 commencing cycle optimization
  149. Thu Oct 11 16:31:07 2018 start with 87843550 relations
  150. Thu Oct 11 16:34:12 2018 pruned 4690253 relations
  151. Thu Oct 11 16:34:12 2018 memory use: 2178.9 MB
  152. Thu Oct 11 16:34:12 2018 distribution of cycle lengths:
  153. Thu Oct 11 16:34:12 2018 1 relations: 244792
  154. Thu Oct 11 16:34:12 2018 2 relations: 434898
  155. Thu Oct 11 16:34:12 2018 3 relations: 563492
  156. Thu Oct 11 16:34:12 2018 4 relations: 618557
  157. Thu Oct 11 16:34:12 2018 5 relations: 671889
  158. Thu Oct 11 16:34:12 2018 6 relations: 686321
  159. Thu Oct 11 16:34:12 2018 7 relations: 690163
  160. Thu Oct 11 16:34:12 2018 8 relations: 676948
  161. Thu Oct 11 16:34:12 2018 9 relations: 645895
  162. Thu Oct 11 16:34:12 2018 10+ relations: 3852640
  163. Thu Oct 11 16:34:12 2018 heaviest cycle: 28 relations
  164. Thu Oct 11 16:34:25 2018 RelProcTime: 4843
  165. Thu Oct 11 16:34:25 2018
  166. Thu Oct 11 16:34:25 2018 commencing linear algebra
  167. Thu Oct 11 16:34:29 2018 read 9085595 cycles
  168. Thu Oct 11 16:34:47 2018 cycles contain 30259410 unique relations
  169. Thu Oct 11 16:37:16 2018 read 30259410 relations
  170. Thu Oct 11 16:37:57 2018 using 20 quadratic characters above 4294917295
  171. Thu Oct 11 16:39:50 2018 building initial matrix
  172. Thu Oct 11 16:45:20 2018 memory use: 3842.6 MB
  173. Thu Oct 11 16:45:24 2018 read 9085595 cycles
  174. Thu Oct 11 16:45:25 2018 matrix is 9085418 x 9085595 (4474.2 MB) with weight 1289190318 (141.89/col)
  175. Thu Oct 11 16:45:25 2018 sparse part has weight 1072947725 (118.09/col)
  176. Thu Oct 11 16:47:04 2018 filtering completed in 2 passes
  177. Thu Oct 11 16:47:06 2018 matrix is 9085386 x 9085563 (4474.2 MB) with weight 1289189350 (141.89/col)
  178. Thu Oct 11 16:47:06 2018 sparse part has weight 1072947517 (118.09/col)
  179. Thu Oct 11 16:47:33 2018 matrix starts at (0, 0)
  180. Thu Oct 11 16:47:34 2018 matrix is 9085386 x 9085563 (4474.2 MB) with weight 1289189350 (141.89/col)
  181. Thu Oct 11 16:47:34 2018 sparse part has weight 1072947517 (118.09/col)
  182. Thu Oct 11 16:47:34 2018 saving the first 48 matrix rows for later
  183. Thu Oct 11 16:47:36 2018 matrix includes 64 packed rows
  184. Thu Oct 11 16:47:37 2018 matrix is 9085338 x 9085563 (4294.3 MB) with weight 1108024550 (121.95/col)
  185. Thu Oct 11 16:47:37 2018 sparse part has weight 1034881058 (113.90/col)
  186. Thu Oct 11 16:47:37 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  187. Thu Oct 11 16:48:03 2018 commencing Lanczos iteration (4 threads)
  188. Thu Oct 11 16:48:03 2018 memory use: 4087.5 MB
  189. Thu Oct 11 16:48:46 2018 linear algebra at 0.0%, ETA 68h33m
  190. Thu Oct 11 16:49:00 2018 checkpointing every 140000 dimensions
  191. Fri Oct 12 10:37:37 2018 lanczos halted after 37598 iterations (dim = 2377488)
  192. Fri Oct 12 10:37:37 2018 BLanczosTime: 64992
  193. Fri Oct 12 10:37:37 2018
  194. Fri Oct 12 10:37:37 2018 commencing square root phase
  195. Fri Oct 12 10:37:37 2018 handling dependencies 1 to 64
  196. Fri Oct 12 10:37:37 2018 reading relations for dependency 1
  197. Fri Oct 12 10:37:37 2018 error: read_cycles can't open dependency file
  198. Fri Oct 12 15:40:22 2018
  199. Fri Oct 12 15:40:22 2018
  200. Fri Oct 12 15:40:22 2018 Msieve v. 1.54 (SVN 1025)
  201. Fri Oct 12 15:40:22 2018 random seeds: 0ebbc423 52c09128
  202. Fri Oct 12 15:40:22 2018 factoring 342979604182615255258693254421748108228322604383289993800565370414344839359283788981547172276819546740023979366342120920148747230565238271359993792909152771442330156630035414193369265772093168266608867254556175688641 (216 digits)
  203. Fri Oct 12 15:40:23 2018 searching for 15-digit factors
  204. Fri Oct 12 15:40:23 2018 commencing number field sieve (216-digit input)
  205. Fri Oct 12 15:40:23 2018 R0: 307922032948643297482606520455058607199
  206. Fri Oct 12 15:40:23 2018 R1: -1
  207. Fri Oct 12 15:40:23 2018 A0: -49852639
  208. Fri Oct 12 15:40:23 2018 A1: 0
  209. Fri Oct 12 15:40:23 2018 A2: 0
  210. Fri Oct 12 15:40:23 2018 A3: 0
  211. Fri Oct 12 15:40:23 2018 A4: 0
  212. Fri Oct 12 15:40:23 2018 A5: 0
  213. Fri Oct 12 15:40:23 2018 A6: 1
  214. Fri Oct 12 15:40:23 2018 skew 19.18, size 4.522e-12, alpha 0.600, combined = 3.722e-13 rroots = 2
  215. Fri Oct 12 15:40:23 2018
  216. Fri Oct 12 15:40:23 2018 commencing linear algebra
  217. Fri Oct 12 15:40:23 2018 skipping matrix build
  218. Fri Oct 12 15:40:34 2018 matrix starts at (0, 0)
  219. Fri Oct 12 15:40:35 2018 matrix is 9085386 x 9085563 (4474.2 MB) with weight 1289189350 (141.89/col)
  220. Fri Oct 12 15:40:35 2018 sparse part has weight 1072947517 (118.09/col)
  221. Fri Oct 12 15:40:35 2018 saving the first 48 matrix rows for later
  222. Fri Oct 12 15:40:37 2018 matrix includes 64 packed rows
  223. Fri Oct 12 15:40:38 2018 matrix is 9085338 x 9085563 (4294.3 MB) with weight 1108024550 (121.95/col)
  224. Fri Oct 12 15:40:38 2018 sparse part has weight 1034881058 (113.90/col)
  225. Fri Oct 12 15:40:38 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  226. Fri Oct 12 15:41:05 2018 commencing Lanczos iteration (4 threads)
  227. Fri Oct 12 15:41:05 2018 memory use: 4087.5 MB
  228. Fri Oct 12 15:41:06 2018 restarting at iteration 37598 (dim = 2377488)
  229. Fri Oct 12 15:41:20 2018 checkpointing every 150000 dimensions
  230. Fri Oct 12 15:41:43 2018 linear algebra at 26.2%, ETA 45h28m
  231. Sun Oct 14 09:18:02 2018 lanczos halted after 143677 iterations (dim = 9085334)
  232. Sun Oct 14 09:18:20 2018 recovered 31 nontrivial dependencies
  233. Sun Oct 14 09:18:20 2018 BLanczosTime: 149877
  234. Sun Oct 14 09:18:20 2018 elapsed time 41:37:58
  235. Sun Oct 14 09:20:03 2018
  236. Sun Oct 14 09:20:03 2018
  237. Sun Oct 14 09:20:03 2018 Msieve v. 1.54 (SVN 1025)
  238. Sun Oct 14 09:20:03 2018 random seeds: a6405ea1 c1eddac1
  239. Sun Oct 14 09:20:03 2018 factoring 342979604182615255258693254421748108228322604383289993800565370414344839359283788981547172276819546740023979366342120920148747230565238271359993792909152771442330156630035414193369265772093168266608867254556175688641 (216 digits)
  240. Sun Oct 14 09:20:04 2018 searching for 15-digit factors
  241. Sun Oct 14 09:20:05 2018 commencing number field sieve (216-digit input)
  242. Sun Oct 14 09:20:05 2018 R0: 307922032948643297482606520455058607199
  243. Sun Oct 14 09:20:05 2018 R1: -1
  244. Sun Oct 14 09:20:05 2018 A0: -49852639
  245. Sun Oct 14 09:20:05 2018 A1: 0
  246. Sun Oct 14 09:20:05 2018 A2: 0
  247. Sun Oct 14 09:20:05 2018 A3: 0
  248. Sun Oct 14 09:20:05 2018 A4: 0
  249. Sun Oct 14 09:20:05 2018 A5: 0
  250. Sun Oct 14 09:20:05 2018 A6: 1
  251. Sun Oct 14 09:20:05 2018 skew 19.18, size 4.522e-12, alpha 0.600, combined = 3.722e-13 rroots = 2
  252. Sun Oct 14 09:20:05 2018
  253. Sun Oct 14 09:20:05 2018 commencing square root phase
  254. Sun Oct 14 09:20:05 2018 reading relations for dependency 1
  255. Sun Oct 14 09:20:13 2018 read 4541212 cycles
  256. Sun Oct 14 09:20:22 2018 cycles contain 15128796 unique relations
  257. Sun Oct 14 09:21:52 2018 read 15128796 relations
  258. Sun Oct 14 09:22:44 2018 multiplying 15128796 relations
  259. Sun Oct 14 09:32:02 2018 multiply complete, coefficients have about 407.84 million bits
  260. Sun Oct 14 09:32:04 2018 initial square root is modulo 20798077
  261. Sun Oct 14 09:42:22 2018 sqrtTime: 1337
  262. Sun Oct 14 09:42:22 2018 p89 factor: 79965795402953280578211916153300042784219880585293335439868322743177446202621177282119767
  263. Sun Oct 14 09:42:22 2018 p127 factor: 4289078879967576761001818179955402606724588904525257057680827451497316764034548932715400281304282728292871556683218168882202023
  264. Sun Oct 14 09:42:22 2018 elapsed time 00:22:19
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