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  1. Sat Sep 17 13:45:52 2016
  2. Sat Sep 17 13:45:52 2016
  3. Sat Sep 17 13:45:52 2016 Msieve v. 1.53 (SVN 988M)
  4. Sat Sep 17 13:45:52 2016 random seeds: f59358b3 6942e068
  5. Sat Sep 17 13:45:52 2016 factoring 107649116751507556859715258418575749090251395410666756192884875650856042172469812679155480496038869747753544001345078987956333866683365502409517815604301871030136092162571476415462107265033 (189 digits)
  6. Sat Sep 17 13:45:53 2016 searching for 15-digit factors
  7. Sat Sep 17 13:45:55 2016 commencing number field sieve (189-digit input)
  8. Sat Sep 17 13:45:55 2016 R0: 43556142965880123323311949751266331066368
  9. Sat Sep 17 13:45:55 2016 R1: -2954312706550833698643
  10. Sat Sep 17 13:45:55 2016 A0: -8
  11. Sat Sep 17 13:45:55 2016 A1: 0
  12. Sat Sep 17 13:45:55 2016 A2: 0
  13. Sat Sep 17 13:45:55 2016 A3: 0
  14. Sat Sep 17 13:45:55 2016 A4: 0
  15. Sat Sep 17 13:45:55 2016 A5: 0
  16. Sat Sep 17 13:45:55 2016 A6: 3
  17. Sat Sep 17 13:45:55 2016 skew 1.18, size 4.775e-12, alpha 1.335, combined = 3.692e-13 rroots = 2
  18. Sat Sep 17 13:45:55 2016
  19. Sat Sep 17 13:45:55 2016 commencing relation filtering
  20. Sat Sep 17 13:45:55 2016 setting target matrix density to 130.0
  21. Sat Sep 17 13:45:55 2016 estimated available RAM is 65536.0 MB
  22. Sat Sep 17 13:45:55 2016 commencing duplicate removal, pass 1
  23. Sat Sep 17 13:47:23 2016 error -15 reading relation 10416708
  24. Sat Sep 17 13:59:42 2016 error -5 reading relation 106950938
  25. Sat Sep 17 14:02:10 2016 error -15 reading relation 126311148
  26. Sat Sep 17 14:04:06 2016 error -5 reading relation 141319570
  27. Sat Sep 17 14:04:34 2016 error -9 reading relation 144959554
  28. Sat Sep 17 14:04:36 2016 error -15 reading relation 145205601
  29. Sat Sep 17 14:04:55 2016 error -9 reading relation 147670960
  30. Sat Sep 17 14:08:47 2016 error -15 reading relation 177869674
  31. Sat Sep 17 14:08:54 2016 error -1 reading relation 178789446
  32. Sat Sep 17 14:08:55 2016 error -1 reading relation 178850345
  33. Sat Sep 17 14:08:56 2016 error -9 reading relation 179028217
  34. Sat Sep 17 14:08:59 2016 error -9 reading relation 179463781
  35. Sat Sep 17 14:09:24 2016 error -15 reading relation 182637484
  36. Sat Sep 17 14:10:10 2016 error -9 reading relation 188748134
  37. Sat Sep 17 14:10:13 2016 error -9 reading relation 189142562
  38. Sat Sep 17 14:11:16 2016 error -15 reading relation 197324863
  39. Sat Sep 17 14:11:59 2016 error -9 reading relation 202918940
  40. Sat Sep 17 14:12:00 2016 error -9 reading relation 203013221
  41. Sat Sep 17 14:12:04 2016 error -5 reading relation 203541061
  42. Sat Sep 17 14:12:04 2016 error -9 reading relation 203645024
  43. Sat Sep 17 14:12:41 2016 error -9 reading relation 208318463
  44. Sat Sep 17 14:14:12 2016 error -9 reading relation 220170362
  45. Sat Sep 17 14:14:53 2016 error -9 reading relation 225545311
  46. Sat Sep 17 14:14:54 2016 error -9 reading relation 225631752
  47. Sat Sep 17 14:14:54 2016 error -9 reading relation 225693385
  48. Sat Sep 17 14:14:55 2016 error -9 reading relation 225764479
  49. Sat Sep 17 14:14:56 2016 error -9 reading relation 225957229
  50. Sat Sep 17 14:15:17 2016 error -1 reading relation 228792810
  51. Sat Sep 17 14:15:32 2016 error -9 reading relation 230796465
  52. Sat Sep 17 14:15:37 2016 error -9 reading relation 231434100
  53. Sat Sep 17 14:16:15 2016 error -5 reading relation 236340039
  54. Sat Sep 17 14:16:15 2016 error -15 reading relation 236356764
  55. Sat Sep 17 14:16:16 2016 error -11 reading relation 236454613
  56. Sat Sep 17 14:16:16 2016 error -1 reading relation 236556995
  57. Sat Sep 17 14:16:19 2016 error -9 reading relation 236974078
  58. Sat Sep 17 14:16:29 2016 error -1 reading relation 238215437
  59. Sat Sep 17 14:16:34 2016 error -1 reading relation 238815448
  60. Sat Sep 17 14:16:44 2016 error -9 reading relation 240178997
  61. Sat Sep 17 14:16:44 2016 error -15 reading relation 240187889
  62. Sat Sep 17 14:16:59 2016 error -9 reading relation 242200189
  63. Sat Sep 17 14:16:59 2016 error -5 reading relation 242255123
  64. Sat Sep 17 14:17:00 2016 error -9 reading relation 242288086
  65. Sat Sep 17 14:17:08 2016 error -5 reading relation 243359599
  66. Sat Sep 17 14:17:20 2016 error -9 reading relation 244944197
  67. Sat Sep 17 14:17:20 2016 error -15 reading relation 244982881
  68. Sat Sep 17 14:17:20 2016 error -15 reading relation 244983739
  69. Sat Sep 17 14:17:26 2016 error -15 reading relation 245719192
  70. Sat Sep 17 14:17:28 2016 error -1 reading relation 246059812
  71. Sat Sep 17 14:17:45 2016 error -5 reading relation 248327051
  72. Sat Sep 17 14:17:59 2016 skipped 42 relations with b > 2^32
  73. Sat Sep 17 14:17:59 2016 skipped 28 relations with composite factors
  74. Sat Sep 17 14:17:59 2016 found 50939950 hash collisions in 250148683 relations
  75. Sat Sep 17 14:18:14 2016 added 1218752 free relations
  76. Sat Sep 17 14:18:14 2016 commencing duplicate removal, pass 2
  77. Sat Sep 17 14:22:10 2016 found 50746682 duplicates and 200620753 unique relations
  78. Sat Sep 17 14:22:10 2016 memory use: 1321.5 MB
  79. Sat Sep 17 14:22:10 2016 reading ideals above 720000
  80. Sat Sep 17 14:22:10 2016 commencing singleton removal, initial pass
  81. Sat Sep 17 14:47:01 2016 memory use: 5512.0 MB
  82. Sat Sep 17 14:47:01 2016 reading all ideals from disk
  83. Sat Sep 17 14:47:05 2016 memory use: 7861.8 MB
  84. Sat Sep 17 14:47:26 2016 keeping 176165580 ideals with weight <= 200, target excess is 1019008
  85. Sat Sep 17 14:47:50 2016 commencing in-memory singleton removal
  86. Sat Sep 17 14:48:05 2016 begin with 200620753 relations and 176165580 unique ideals
  87. Sat Sep 17 14:50:54 2016 reduce to 135128013 relations and 104378350 ideals in 14 passes
  88. Sat Sep 17 14:50:54 2016 max relations containing the same ideal: 162
  89. Sat Sep 17 14:51:49 2016 removing 10317311 relations and 8317311 ideals in 2000000 cliques
  90. Sat Sep 17 14:51:53 2016 commencing in-memory singleton removal
  91. Sat Sep 17 14:52:03 2016 begin with 124810702 relations and 104378350 unique ideals
  92. Sat Sep 17 14:53:26 2016 reduce to 124234181 relations and 95473720 ideals in 8 passes
  93. Sat Sep 17 14:53:26 2016 max relations containing the same ideal: 154
  94. Sat Sep 17 14:54:16 2016 removing 7856961 relations and 5856961 ideals in 2000000 cliques
  95. Sat Sep 17 14:54:19 2016 commencing in-memory singleton removal
  96. Sat Sep 17 14:54:28 2016 begin with 116377220 relations and 95473720 unique ideals
  97. Sat Sep 17 14:55:35 2016 reduce to 115988886 relations and 89222085 ideals in 7 passes
  98. Sat Sep 17 14:55:35 2016 max relations containing the same ideal: 148
  99. Sat Sep 17 14:56:22 2016 removing 7130313 relations and 5130313 ideals in 2000000 cliques
  100. Sat Sep 17 14:56:25 2016 commencing in-memory singleton removal
  101. Sat Sep 17 14:56:33 2016 begin with 108858573 relations and 89222085 unique ideals
  102. Sat Sep 17 14:57:36 2016 reduce to 108520264 relations and 83747949 ideals in 7 passes
  103. Sat Sep 17 14:57:36 2016 max relations containing the same ideal: 144
  104. Sat Sep 17 14:58:20 2016 removing 6758681 relations and 4758681 ideals in 2000000 cliques
  105. Sat Sep 17 14:58:23 2016 commencing in-memory singleton removal
  106. Sat Sep 17 14:58:30 2016 begin with 101761583 relations and 83747949 unique ideals
  107. Sat Sep 17 14:59:28 2016 reduce to 101445966 relations and 78668269 ideals in 7 passes
  108. Sat Sep 17 14:59:28 2016 max relations containing the same ideal: 139
  109. Sat Sep 17 15:00:10 2016 removing 6523040 relations and 4523040 ideals in 2000000 cliques
  110. Sat Sep 17 15:00:13 2016 commencing in-memory singleton removal
  111. Sat Sep 17 15:00:20 2016 begin with 94922926 relations and 78668269 unique ideals
  112. Sat Sep 17 15:01:06 2016 reduce to 94620452 relations and 73837361 ideals in 6 passes
  113. Sat Sep 17 15:01:06 2016 max relations containing the same ideal: 133
  114. Sat Sep 17 15:01:45 2016 removing 6362339 relations and 4362339 ideals in 2000000 cliques
  115. Sat Sep 17 15:01:47 2016 commencing in-memory singleton removal
  116. Sat Sep 17 15:01:54 2016 begin with 88258113 relations and 73837361 unique ideals
  117. Sat Sep 17 15:02:43 2016 reduce to 87958241 relations and 69169539 ideals in 7 passes
  118. Sat Sep 17 15:02:43 2016 max relations containing the same ideal: 127
  119. Sat Sep 17 15:03:19 2016 removing 6244727 relations and 4244727 ideals in 2000000 cliques
  120. Sat Sep 17 15:03:22 2016 commencing in-memory singleton removal
  121. Sat Sep 17 15:03:28 2016 begin with 81713514 relations and 69169539 unique ideals
  122. Sat Sep 17 15:04:13 2016 reduce to 81411715 relations and 64616895 ideals in 7 passes
  123. Sat Sep 17 15:04:13 2016 max relations containing the same ideal: 115
  124. Sat Sep 17 15:04:47 2016 removing 6157344 relations and 4157344 ideals in 2000000 cliques
  125. Sat Sep 17 15:04:49 2016 commencing in-memory singleton removal
  126. Sat Sep 17 15:04:54 2016 begin with 75254371 relations and 64616895 unique ideals
  127. Sat Sep 17 15:05:36 2016 reduce to 74946107 relations and 60144814 ideals in 7 passes
  128. Sat Sep 17 15:05:36 2016 max relations containing the same ideal: 111
  129. Sat Sep 17 15:06:07 2016 removing 6089480 relations and 4089480 ideals in 2000000 cliques
  130. Sat Sep 17 15:06:09 2016 commencing in-memory singleton removal
  131. Sat Sep 17 15:06:14 2016 begin with 68856627 relations and 60144814 unique ideals
  132. Sat Sep 17 15:06:47 2016 reduce to 68536884 relations and 55728231 ideals in 6 passes
  133. Sat Sep 17 15:06:47 2016 max relations containing the same ideal: 103
  134. Sat Sep 17 15:07:15 2016 removing 6039908 relations and 4039908 ideals in 2000000 cliques
  135. Sat Sep 17 15:07:17 2016 commencing in-memory singleton removal
  136. Sat Sep 17 15:07:22 2016 begin with 62496976 relations and 55728231 unique ideals
  137. Sat Sep 17 15:07:51 2016 reduce to 62159340 relations and 51342349 ideals in 6 passes
  138. Sat Sep 17 15:07:51 2016 max relations containing the same ideal: 96
  139. Sat Sep 17 15:08:17 2016 removing 6001342 relations and 4001342 ideals in 2000000 cliques
  140. Sat Sep 17 15:08:19 2016 commencing in-memory singleton removal
  141. Sat Sep 17 15:08:23 2016 begin with 56157998 relations and 51342349 unique ideals
  142. Sat Sep 17 15:08:49 2016 reduce to 55799222 relations and 46972404 ideals in 6 passes
  143. Sat Sep 17 15:08:49 2016 max relations containing the same ideal: 91
  144. Sat Sep 17 15:09:12 2016 removing 5976794 relations and 3976794 ideals in 2000000 cliques
  145. Sat Sep 17 15:09:14 2016 commencing in-memory singleton removal
  146. Sat Sep 17 15:09:17 2016 begin with 49822428 relations and 46972404 unique ideals
  147. Sat Sep 17 15:09:48 2016 reduce to 49433877 relations and 42595165 ideals in 8 passes
  148. Sat Sep 17 15:09:48 2016 max relations containing the same ideal: 87
  149. Sat Sep 17 15:10:08 2016 removing 5960499 relations and 3960499 ideals in 2000000 cliques
  150. Sat Sep 17 15:10:10 2016 commencing in-memory singleton removal
  151. Sat Sep 17 15:10:13 2016 begin with 43473378 relations and 42595165 unique ideals
  152. Sat Sep 17 15:10:36 2016 reduce to 43038242 relations and 38184818 ideals in 7 passes
  153. Sat Sep 17 15:10:36 2016 max relations containing the same ideal: 81
  154. Sat Sep 17 15:10:54 2016 removing 5966145 relations and 3966145 ideals in 2000000 cliques
  155. Sat Sep 17 15:10:55 2016 commencing in-memory singleton removal
  156. Sat Sep 17 15:10:58 2016 begin with 37072097 relations and 38184818 unique ideals
  157. Sat Sep 17 15:11:20 2016 reduce to 36562576 relations and 33689260 ideals in 8 passes
  158. Sat Sep 17 15:11:20 2016 max relations containing the same ideal: 71
  159. Sat Sep 17 15:11:35 2016 removing 5217163 relations and 3525897 ideals in 1691266 cliques
  160. Sat Sep 17 15:11:37 2016 commencing in-memory singleton removal
  161. Sat Sep 17 15:11:39 2016 begin with 31345413 relations and 33689260 unique ideals
  162. Sat Sep 17 15:11:57 2016 reduce to 30851867 relations and 29650603 ideals in 8 passes
  163. Sat Sep 17 15:11:57 2016 max relations containing the same ideal: 64
  164. Sat Sep 17 15:12:09 2016 removing 120557 relations and 101343 ideals in 19214 cliques
  165. Sat Sep 17 15:12:10 2016 commencing in-memory singleton removal
  166. Sat Sep 17 15:12:12 2016 begin with 30731310 relations and 29650603 unique ideals
  167. Sat Sep 17 15:12:21 2016 reduce to 30730944 relations and 29548894 ideals in 4 passes
  168. Sat Sep 17 15:12:21 2016 max relations containing the same ideal: 64
  169. Sat Sep 17 15:12:26 2016 relations with 0 large ideals: 38898
  170. Sat Sep 17 15:12:26 2016 relations with 1 large ideals: 30641
  171. Sat Sep 17 15:12:26 2016 relations with 2 large ideals: 359614
  172. Sat Sep 17 15:12:26 2016 relations with 3 large ideals: 1842501
  173. Sat Sep 17 15:12:26 2016 relations with 4 large ideals: 4994214
  174. Sat Sep 17 15:12:26 2016 relations with 5 large ideals: 7951060
  175. Sat Sep 17 15:12:26 2016 relations with 6 large ideals: 7826611
  176. Sat Sep 17 15:12:26 2016 relations with 7+ large ideals: 7687405
  177. Sat Sep 17 15:12:26 2016 commencing 2-way merge
  178. Sat Sep 17 15:12:43 2016 reduce to 20740951 relation sets and 19558901 unique ideals
  179. Sat Sep 17 15:12:43 2016 commencing full merge
  180. Sat Sep 17 15:20:38 2016 memory use: 2503.6 MB
  181. Sat Sep 17 15:20:41 2016 found 8998325 cycles, need 8971101
  182. Sat Sep 17 15:20:42 2016 weight of 8971101 cycles is about 1166831228 (130.07/cycle)
  183. Sat Sep 17 15:20:42 2016 distribution of cycle lengths:
  184. Sat Sep 17 15:20:42 2016 1 relations: 251104
  185. Sat Sep 17 15:20:42 2016 2 relations: 413834
  186. Sat Sep 17 15:20:42 2016 3 relations: 526033
  187. Sat Sep 17 15:20:42 2016 4 relations: 575896
  188. Sat Sep 17 15:20:42 2016 5 relations: 615100
  189. Sat Sep 17 15:20:42 2016 6 relations: 628181
  190. Sat Sep 17 15:20:42 2016 7 relations: 630650
  191. Sat Sep 17 15:20:42 2016 8 relations: 616343
  192. Sat Sep 17 15:20:42 2016 9 relations: 591419
  193. Sat Sep 17 15:20:42 2016 10+ relations: 4122541
  194. Sat Sep 17 15:20:42 2016 heaviest cycle: 28 relations
  195. Sat Sep 17 15:20:45 2016 commencing cycle optimization
  196. Sat Sep 17 15:21:05 2016 start with 87801362 relations
  197. Sat Sep 17 15:25:18 2016 pruned 4778318 relations
  198. Sat Sep 17 15:25:18 2016 memory use: 2172.2 MB
  199. Sat Sep 17 15:25:18 2016 distribution of cycle lengths:
  200. Sat Sep 17 15:25:18 2016 1 relations: 251104
  201. Sat Sep 17 15:25:18 2016 2 relations: 425540
  202. Sat Sep 17 15:25:18 2016 3 relations: 550265
  203. Sat Sep 17 15:25:18 2016 4 relations: 603958
  204. Sat Sep 17 15:25:18 2016 5 relations: 651600
  205. Sat Sep 17 15:25:18 2016 6 relations: 666210
  206. Sat Sep 17 15:25:18 2016 7 relations: 672758
  207. Sat Sep 17 15:25:18 2016 8 relations: 655206
  208. Sat Sep 17 15:25:18 2016 9 relations: 629031
  209. Sat Sep 17 15:25:18 2016 10+ relations: 3865429
  210. Sat Sep 17 15:25:18 2016 heaviest cycle: 28 relations
  211. Sat Sep 17 15:25:36 2016 RelProcTime: 5981
  212. Sat Sep 17 15:25:36 2016
  213. Sat Sep 17 15:25:36 2016 commencing linear algebra
  214. Sat Sep 17 15:25:37 2016 read 8971101 cycles
  215. Sat Sep 17 15:25:57 2016 cycles contain 30161145 unique relations
  216. Sat Sep 17 15:30:44 2016 read 30161145 relations
  217. Sat Sep 17 15:31:47 2016 using 20 quadratic characters above 4294917295
  218. Sat Sep 17 15:33:35 2016 building initial matrix
  219. Sat Sep 17 15:39:33 2016 memory use: 3843.0 MB
  220. Sat Sep 17 15:39:41 2016 read 8971101 cycles
  221. Sat Sep 17 15:39:42 2016 matrix is 8970924 x 8971101 (4473.6 MB) with weight 1287248401 (143.49/col)
  222. Sat Sep 17 15:39:42 2016 sparse part has weight 1074040632 (119.72/col)
  223. Sat Sep 17 15:41:43 2016 filtering completed in 2 passes
  224. Sat Sep 17 15:41:45 2016 matrix is 8970822 x 8970999 (4473.6 MB) with weight 1287244292 (143.49/col)
  225. Sat Sep 17 15:41:45 2016 sparse part has weight 1074038958 (119.72/col)
  226. Sat Sep 17 15:42:18 2016 matrix starts at (0, 0)
  227. Sat Sep 17 15:42:19 2016 matrix is 8970822 x 8970999 (4473.6 MB) with weight 1287244292 (143.49/col)
  228. Sat Sep 17 15:42:19 2016 sparse part has weight 1074038958 (119.72/col)
  229. Sat Sep 17 15:42:19 2016 saving the first 48 matrix rows for later
  230. Sat Sep 17 15:42:20 2016 matrix includes 64 packed rows
  231. Sat Sep 17 15:42:21 2016 matrix is 8970774 x 8970999 (4306.7 MB) with weight 1114024968 (124.18/col)
  232. Sat Sep 17 15:42:21 2016 sparse part has weight 1039275271 (115.85/col)
  233. Sat Sep 17 15:42:21 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  234. Sat Sep 17 15:43:17 2016 commencing Lanczos iteration (6 threads)
  235. Sat Sep 17 15:43:17 2016 memory use: 3676.6 MB
  236. Sat Sep 17 15:43:43 2016 linear algebra at 0.0%, ETA 39h28m
  237. Sat Sep 17 15:43:51 2016 checkpointing every 230000 dimensions
  238. Mon Sep 19 08:03:27 2016 lanczos halted after 141870 iterations (dim = 8970772)
  239. Mon Sep 19 08:03:40 2016 recovered 36 nontrivial dependencies
  240. Mon Sep 19 08:03:42 2016 BLanczosTime: 146286
  241. Mon Sep 19 08:03:42 2016
  242. Mon Sep 19 08:03:42 2016 commencing square root phase
  243. Mon Sep 19 08:03:42 2016 handling dependencies 1 to 64
  244. Mon Sep 19 08:03:42 2016 reading relations for dependency 1
  245. Mon Sep 19 08:03:44 2016 read 4484945 cycles
  246. Mon Sep 19 08:03:53 2016 cycles contain 15075244 unique relations
  247. Mon Sep 19 08:07:34 2016 read 15075244 relations
  248. Mon Sep 19 08:08:36 2016 multiplying 15075244 relations
  249. Mon Sep 19 08:19:06 2016 multiply complete, coefficients have about 400.71 million bits
  250. Mon Sep 19 08:19:07 2016 initial square root is modulo 15486871
  251. Mon Sep 19 08:29:52 2016 sqrtTime: 1570
  252. Mon Sep 19 08:29:52 2016 p56 factor: 15463836510489436598415666216335367514626514135509301507
  253. Mon Sep 19 08:29:52 2016 p133 factor: 6961346020341521273825525531716406444313495215121125954389850325759028001525140291989638164585183961540066442636415489676126416105219
  254. Mon Sep 19 08:29:52 2016 elapsed time 42:44:00
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