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Sep 25th, 2016
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  1. Thu Sep 22 22:04:16 2016
  2. Thu Sep 22 22:04:16 2016
  3. Thu Sep 22 22:04:16 2016 Msieve v. 1.52 (SVN unknown)
  4. Thu Sep 22 22:04:16 2016 random seeds: ee1dbb00 5d07235a
  5. Thu Sep 22 22:04:16 2016 factoring 4692064586580783917840944328434580403209220808746133494110274553492429721369403589282877980798829470898456915967980744606187576115356804962079321023568847548862661302177023271269466470715329576023317200232272300075056196259513 (226 digits)
  6. Thu Sep 22 22:04:18 2016 no P-1/P+1/ECM available, skipping
  7. Thu Sep 22 22:04:18 2016 commencing number field sieve (226-digit input)
  8. Thu Sep 22 22:04:18 2016 R0: 10674360314074008133966100215911865234375
  9. Thu Sep 22 22:04:18 2016 R1: -17001416405572203977
  10. Thu Sep 22 22:04:18 2016 A0: 7535
  11. Thu Sep 22 22:04:18 2016 A1: 0
  12. Thu Sep 22 22:04:18 2016 A2: 0
  13. Thu Sep 22 22:04:18 2016 A3: 0
  14. Thu Sep 22 22:04:18 2016 A4: 0
  15. Thu Sep 22 22:04:18 2016 A5: 0
  16. Thu Sep 22 22:04:18 2016 A6: 1
  17. Thu Sep 22 22:04:18 2016 skew 4.43, size 4.447e-012, alpha 0.423, combined = 3.616e-013 rroots = 0
  18. Thu Sep 22 22:04:18 2016
  19. Thu Sep 22 22:04:18 2016 commencing relation filtering
  20. Thu Sep 22 22:04:18 2016 setting target matrix density to 130.0
  21. Thu Sep 22 22:04:18 2016 estimated available RAM is 16335.3 MB
  22. Thu Sep 22 22:04:18 2016 commencing duplicate removal, pass 1
  23. Thu Sep 22 22:19:07 2016 error -15 reading relation 76601871
  24. Thu Sep 22 22:29:05 2016 error -15 reading relation 139278275
  25. Thu Sep 22 22:37:04 2016 error -15 reading relation 189118312
  26. Thu Sep 22 22:45:05 2016 error -15 reading relation 238744132
  27. Thu Sep 22 22:45:46 2016 error -9 reading relation 243007676
  28. Thu Sep 22 22:45:52 2016 error -15 reading relation 243679187
  29. Thu Sep 22 22:46:35 2016 error -9 reading relation 248242127
  30. Thu Sep 22 22:46:51 2016 error -9 reading relation 250046511
  31. Thu Sep 22 22:46:52 2016 error -15 reading relation 250071429
  32. Thu Sep 22 22:46:53 2016 error -9 reading relation 250202732
  33. Thu Sep 22 22:46:53 2016 error -15 reading relation 250227029
  34. Thu Sep 22 22:46:54 2016 error -9 reading relation 250325331
  35. Thu Sep 22 22:46:58 2016 error -9 reading relation 250738086
  36. Thu Sep 22 22:46:58 2016 error -1 reading relation 250770437
  37. Thu Sep 22 22:46:58 2016 error -1 reading relation 250807606
  38. Thu Sep 22 22:46:59 2016 error -9 reading relation 250840005
  39. Thu Sep 22 22:46:59 2016 error -9 reading relation 250885177
  40. Thu Sep 22 22:46:59 2016 error -15 reading relation 250900765
  41. Thu Sep 22 22:47:00 2016 error -15 reading relation 250968112
  42. Thu Sep 22 22:47:00 2016 error -15 reading relation 250983274
  43. Thu Sep 22 22:47:38 2016 error -15 reading relation 255151877
  44. Thu Sep 22 22:47:44 2016 error -9 reading relation 255779659
  45. Thu Sep 22 22:47:45 2016 error -9 reading relation 255808223
  46. Thu Sep 22 22:47:45 2016 error -15 reading relation 255819005
  47. Thu Sep 22 22:47:45 2016 error -9 reading relation 255819296
  48. Thu Sep 22 22:47:45 2016 error -15 reading relation 255823803
  49. Thu Sep 22 22:47:48 2016 error -9 reading relation 256168123
  50. Thu Sep 22 22:47:48 2016 error -15 reading relation 256175247
  51. Thu Sep 22 22:47:54 2016 error -15 reading relation 256772883
  52. Thu Sep 22 22:48:09 2016 error -1 reading relation 258155762
  53. Thu Sep 22 22:48:09 2016 error -9 reading relation 258166805
  54. Thu Sep 22 22:48:09 2016 error -1 reading relation 258171425
  55. Thu Sep 22 22:48:13 2016 error -15 reading relation 258559735
  56. Thu Sep 22 22:48:13 2016 error -9 reading relation 258582736
  57. Thu Sep 22 22:48:20 2016 error -11 reading relation 259383147
  58. Thu Sep 22 22:48:24 2016 error -9 reading relation 259796697
  59. Thu Sep 22 22:48:31 2016 skipped 9 relations with b > 2^32
  60. Thu Sep 22 22:48:31 2016 found 53677977 hash collisions in 260502292 relations
  61. Thu Sep 22 22:48:59 2016 added 1218632 free relations
  62. Thu Sep 22 22:48:59 2016 commencing duplicate removal, pass 2
  63. Thu Sep 22 22:53:57 2016 found 53079720 duplicates and 208641204 unique relations
  64. Thu Sep 22 22:53:57 2016 memory use: 1321.5 MB
  65. Thu Sep 22 22:53:57 2016 reading ideals above 169934848
  66. Thu Sep 22 22:53:58 2016 commencing singleton removal, initial pass
  67. Thu Sep 22 23:32:21 2016 memory use: 3012.0 MB
  68. Thu Sep 22 23:32:21 2016 reading all ideals from disk
  69. Thu Sep 22 23:33:14 2016 memory use: 3427.7 MB
  70. Thu Sep 22 23:33:21 2016 commencing in-memory singleton removal
  71. Thu Sep 22 23:33:27 2016 begin with 208641204 relations and 159975679 unique ideals
  72. Thu Sep 22 23:34:47 2016 reduce to 145748909 relations and 91441372 ideals in 14 passes
  73. Thu Sep 22 23:34:47 2016 max relations containing the same ideal: 37
  74. Thu Sep 22 23:34:58 2016 reading ideals above 720000
  75. Thu Sep 22 23:34:58 2016 commencing singleton removal, initial pass
  76. Fri Sep 23 00:08:09 2016 memory use: 3012.0 MB
  77. Fri Sep 23 00:08:09 2016 reading all ideals from disk
  78. Fri Sep 23 00:09:39 2016 memory use: 5695.9 MB
  79. Fri Sep 23 00:09:54 2016 keeping 109693635 ideals with weight <= 200, target excess is 743251
  80. Fri Sep 23 00:10:11 2016 commencing in-memory singleton removal
  81. Fri Sep 23 00:10:23 2016 begin with 145748909 relations and 109693635 unique ideals
  82. Fri Sep 23 00:12:03 2016 reduce to 145744705 relations and 109689431 ideals in 8 passes
  83. Fri Sep 23 00:12:03 2016 max relations containing the same ideal: 200
  84. Fri Sep 23 00:13:02 2016 removing 9898262 relations and 7898262 ideals in 2000000 cliques
  85. Fri Sep 23 00:13:05 2016 commencing in-memory singleton removal
  86. Fri Sep 23 00:13:16 2016 begin with 135846443 relations and 109689431 unique ideals
  87. Fri Sep 23 00:14:38 2016 reduce to 135349954 relations and 101286177 ideals in 7 passes
  88. Fri Sep 23 00:14:38 2016 max relations containing the same ideal: 198
  89. Fri Sep 23 00:15:34 2016 removing 7556988 relations and 5556988 ideals in 2000000 cliques
  90. Fri Sep 23 00:15:37 2016 commencing in-memory singleton removal
  91. Fri Sep 23 00:15:48 2016 begin with 127792966 relations and 101286177 unique ideals
  92. Fri Sep 23 00:17:04 2016 reduce to 127459833 relations and 95391043 ideals in 7 passes
  93. Fri Sep 23 00:17:04 2016 max relations containing the same ideal: 192
  94. Fri Sep 23 00:17:56 2016 removing 6877609 relations and 4877609 ideals in 2000000 cliques
  95. Fri Sep 23 00:17:59 2016 commencing in-memory singleton removal
  96. Fri Sep 23 00:18:08 2016 begin with 120582224 relations and 95391043 unique ideals
  97. Fri Sep 23 00:19:30 2016 reduce to 120292608 relations and 90219427 ideals in 8 passes
  98. Fri Sep 23 00:19:30 2016 max relations containing the same ideal: 187
  99. Fri Sep 23 00:20:20 2016 removing 6523141 relations and 4523141 ideals in 2000000 cliques
  100. Fri Sep 23 00:20:23 2016 commencing in-memory singleton removal
  101. Fri Sep 23 00:20:32 2016 begin with 113769467 relations and 90219427 unique ideals
  102. Fri Sep 23 00:21:29 2016 reduce to 113503286 relations and 85426027 ideals in 6 passes
  103. Fri Sep 23 00:21:29 2016 max relations containing the same ideal: 182
  104. Fri Sep 23 00:22:17 2016 removing 6300342 relations and 4300342 ideals in 2000000 cliques
  105. Fri Sep 23 00:22:19 2016 commencing in-memory singleton removal
  106. Fri Sep 23 00:22:27 2016 begin with 107202944 relations and 85426027 unique ideals
  107. Fri Sep 23 00:23:21 2016 reduce to 106949969 relations and 80868656 ideals in 6 passes
  108. Fri Sep 23 00:23:21 2016 max relations containing the same ideal: 174
  109. Fri Sep 23 00:24:06 2016 removing 6140087 relations and 4140087 ideals in 2000000 cliques
  110. Fri Sep 23 00:24:08 2016 commencing in-memory singleton removal
  111. Fri Sep 23 00:24:16 2016 begin with 100809882 relations and 80868656 unique ideals
  112. Fri Sep 23 00:25:07 2016 reduce to 100563274 relations and 76477777 ideals in 6 passes
  113. Fri Sep 23 00:25:07 2016 max relations containing the same ideal: 168
  114. Fri Sep 23 00:25:49 2016 removing 6025626 relations and 4025626 ideals in 2000000 cliques
  115. Fri Sep 23 00:25:51 2016 commencing in-memory singleton removal
  116. Fri Sep 23 00:25:59 2016 begin with 94537648 relations and 76477777 unique ideals
  117. Fri Sep 23 00:26:46 2016 reduce to 94291632 relations and 72201725 ideals in 6 passes
  118. Fri Sep 23 00:26:46 2016 max relations containing the same ideal: 161
  119. Fri Sep 23 00:27:25 2016 removing 5933659 relations and 3933659 ideals in 2000000 cliques
  120. Fri Sep 23 00:27:27 2016 commencing in-memory singleton removal
  121. Fri Sep 23 00:27:34 2016 begin with 88357973 relations and 72201725 unique ideals
  122. Fri Sep 23 00:28:18 2016 reduce to 88112512 relations and 68017957 ideals in 6 passes
  123. Fri Sep 23 00:28:18 2016 max relations containing the same ideal: 156
  124. Fri Sep 23 00:28:55 2016 removing 5860030 relations and 3860030 ideals in 2000000 cliques
  125. Fri Sep 23 00:28:57 2016 commencing in-memory singleton removal
  126. Fri Sep 23 00:29:03 2016 begin with 82252482 relations and 68017957 unique ideals
  127. Fri Sep 23 00:29:44 2016 reduce to 82001654 relations and 63901974 ideals in 6 passes
  128. Fri Sep 23 00:29:44 2016 max relations containing the same ideal: 149
  129. Fri Sep 23 00:30:19 2016 removing 5803834 relations and 3803834 ideals in 2000000 cliques
  130. Fri Sep 23 00:30:21 2016 commencing in-memory singleton removal
  131. Fri Sep 23 00:30:27 2016 begin with 76197820 relations and 63901974 unique ideals
  132. Fri Sep 23 00:31:05 2016 reduce to 75940591 relations and 59835353 ideals in 6 passes
  133. Fri Sep 23 00:31:05 2016 max relations containing the same ideal: 140
  134. Fri Sep 23 00:31:39 2016 removing 5756479 relations and 3756479 ideals in 2000000 cliques
  135. Fri Sep 23 00:31:40 2016 commencing in-memory singleton removal
  136. Fri Sep 23 00:31:46 2016 begin with 70184112 relations and 59835353 unique ideals
  137. Fri Sep 23 00:32:21 2016 reduce to 69917465 relations and 55806082 ideals in 6 passes
  138. Fri Sep 23 00:32:21 2016 max relations containing the same ideal: 132
  139. Fri Sep 23 00:32:52 2016 removing 5719664 relations and 3719664 ideals in 2000000 cliques
  140. Fri Sep 23 00:32:53 2016 commencing in-memory singleton removal
  141. Fri Sep 23 00:32:58 2016 begin with 64197801 relations and 55806082 unique ideals
  142. Fri Sep 23 00:33:29 2016 reduce to 63919152 relations and 51800830 ideals in 6 passes
  143. Fri Sep 23 00:33:29 2016 max relations containing the same ideal: 124
  144. Fri Sep 23 00:33:58 2016 removing 5687656 relations and 3687656 ideals in 2000000 cliques
  145. Fri Sep 23 00:33:59 2016 commencing in-memory singleton removal
  146. Fri Sep 23 00:34:04 2016 begin with 58231496 relations and 51800830 unique ideals
  147. Fri Sep 23 00:34:32 2016 reduce to 57936526 relations and 47810288 ideals in 6 passes
  148. Fri Sep 23 00:34:32 2016 max relations containing the same ideal: 115
  149. Fri Sep 23 00:34:57 2016 removing 5669673 relations and 3669673 ideals in 2000000 cliques
  150. Fri Sep 23 00:34:59 2016 commencing in-memory singleton removal
  151. Fri Sep 23 00:35:03 2016 begin with 52266853 relations and 47810288 unique ideals
  152. Fri Sep 23 00:35:27 2016 reduce to 51948537 relations and 43813010 ideals in 6 passes
  153. Fri Sep 23 00:35:27 2016 max relations containing the same ideal: 106
  154. Fri Sep 23 00:35:50 2016 removing 5653617 relations and 3653617 ideals in 2000000 cliques
  155. Fri Sep 23 00:35:51 2016 commencing in-memory singleton removal
  156. Fri Sep 23 00:35:55 2016 begin with 46294920 relations and 43813010 unique ideals
  157. Fri Sep 23 00:36:17 2016 reduce to 45942973 relations and 39796177 ideals in 6 passes
  158. Fri Sep 23 00:36:17 2016 max relations containing the same ideal: 99
  159. Fri Sep 23 00:36:37 2016 removing 5654017 relations and 3654017 ideals in 2000000 cliques
  160. Fri Sep 23 00:36:38 2016 commencing in-memory singleton removal
  161. Fri Sep 23 00:36:41 2016 begin with 40288956 relations and 39796177 unique ideals
  162. Fri Sep 23 00:37:03 2016 reduce to 39886670 relations and 35725308 ideals in 7 passes
  163. Fri Sep 23 00:37:03 2016 max relations containing the same ideal: 90
  164. Fri Sep 23 00:37:21 2016 removing 5675615 relations and 3675615 ideals in 2000000 cliques
  165. Fri Sep 23 00:37:22 2016 commencing in-memory singleton removal
  166. Fri Sep 23 00:37:25 2016 begin with 34211055 relations and 35725308 unique ideals
  167. Fri Sep 23 00:37:43 2016 reduce to 33722947 relations and 31541120 ideals in 7 passes
  168. Fri Sep 23 00:37:43 2016 max relations containing the same ideal: 82
  169. Fri Sep 23 00:37:58 2016 removing 4050266 relations and 2730611 ideals in 1319655 cliques
  170. Fri Sep 23 00:37:59 2016 commencing in-memory singleton removal
  171. Fri Sep 23 00:38:01 2016 begin with 29672681 relations and 31541120 unique ideals
  172. Fri Sep 23 00:38:18 2016 reduce to 29330998 relations and 28456778 ideals in 8 passes
  173. Fri Sep 23 00:38:18 2016 max relations containing the same ideal: 75
  174. Fri Sep 23 00:38:31 2016 removing 73389 relations and 61341 ideals in 12048 cliques
  175. Fri Sep 23 00:38:32 2016 commencing in-memory singleton removal
  176. Fri Sep 23 00:38:34 2016 begin with 29257609 relations and 28456778 unique ideals
  177. Fri Sep 23 00:38:42 2016 reduce to 29257483 relations and 28395310 ideals in 4 passes
  178. Fri Sep 23 00:38:42 2016 max relations containing the same ideal: 75
  179. Fri Sep 23 00:38:47 2016 relations with 0 large ideals: 28044
  180. Fri Sep 23 00:38:47 2016 relations with 1 large ideals: 15885
  181. Fri Sep 23 00:38:47 2016 relations with 2 large ideals: 194518
  182. Fri Sep 23 00:38:47 2016 relations with 3 large ideals: 1150362
  183. Fri Sep 23 00:38:47 2016 relations with 4 large ideals: 3622157
  184. Fri Sep 23 00:38:47 2016 relations with 5 large ideals: 6736368
  185. Fri Sep 23 00:38:47 2016 relations with 6 large ideals: 7796606
  186. Fri Sep 23 00:38:47 2016 relations with 7+ large ideals: 9713543
  187. Fri Sep 23 00:38:47 2016 commencing 2-way merge
  188. Fri Sep 23 00:39:04 2016 reduce to 20131412 relation sets and 19269239 unique ideals
  189. Fri Sep 23 00:39:04 2016 commencing full merge
  190. Fri Sep 23 00:47:03 2016 memory use: 2497.1 MB
  191. Fri Sep 23 00:47:05 2016 found 8780503 cycles, need 8763439
  192. Fri Sep 23 00:47:06 2016 weight of 8763439 cycles is about 1140070340 (130.09/cycle)
  193. Fri Sep 23 00:47:06 2016 distribution of cycle lengths:
  194. Fri Sep 23 00:47:06 2016 1 relations: 229123
  195. Fri Sep 23 00:47:06 2016 2 relations: 399284
  196. Fri Sep 23 00:47:06 2016 3 relations: 515956
  197. Fri Sep 23 00:47:06 2016 4 relations: 572048
  198. Fri Sep 23 00:47:06 2016 5 relations: 619562
  199. Fri Sep 23 00:47:06 2016 6 relations: 638476
  200. Fri Sep 23 00:47:06 2016 7 relations: 639785
  201. Fri Sep 23 00:47:06 2016 8 relations: 626470
  202. Fri Sep 23 00:47:06 2016 9 relations: 597538
  203. Fri Sep 23 00:47:06 2016 10+ relations: 3925197
  204. Fri Sep 23 00:47:06 2016 heaviest cycle: 28 relations
  205. Fri Sep 23 00:47:08 2016 commencing cycle optimization
  206. Fri Sep 23 00:47:24 2016 start with 84244685 relations
  207. Fri Sep 23 00:51:31 2016 pruned 4683725 relations
  208. Fri Sep 23 00:51:31 2016 memory use: 2082.5 MB
  209. Fri Sep 23 00:51:31 2016 distribution of cycle lengths:
  210. Fri Sep 23 00:51:31 2016 1 relations: 229123
  211. Fri Sep 23 00:51:31 2016 2 relations: 410295
  212. Fri Sep 23 00:51:31 2016 3 relations: 539791
  213. Fri Sep 23 00:51:31 2016 4 relations: 600462
  214. Fri Sep 23 00:51:31 2016 5 relations: 657507
  215. Fri Sep 23 00:51:31 2016 6 relations: 678506
  216. Fri Sep 23 00:51:31 2016 7 relations: 684173
  217. Fri Sep 23 00:51:31 2016 8 relations: 667713
  218. Fri Sep 23 00:51:31 2016 9 relations: 636306
  219. Fri Sep 23 00:51:31 2016 10+ relations: 3659563
  220. Fri Sep 23 00:51:31 2016 heaviest cycle: 28 relations
  221. Fri Sep 23 00:51:46 2016 RelProcTime: 10048
  222. Fri Sep 23 00:51:46 2016
  223. Fri Sep 23 00:51:46 2016 commencing linear algebra
  224. Fri Sep 23 00:51:48 2016 read 8763439 cycles
  225. Fri Sep 23 00:52:08 2016 cycles contain 28865526 unique relations
  226. Fri Sep 23 00:58:48 2016 read 28865526 relations
  227. Fri Sep 23 00:59:39 2016 using 20 quadratic characters above 2147482578
  228. Fri Sep 23 01:01:48 2016 building initial matrix
  229. Fri Sep 23 01:08:27 2016 memory use: 3738.1 MB
  230. Fri Sep 23 01:09:46 2016 read 8763439 cycles
  231. Fri Sep 23 01:09:49 2016 matrix is 8763262 x 8763439 (4358.4 MB) with weight 1250994297 (142.75/col)
  232. Fri Sep 23 01:09:49 2016 sparse part has weight 1046120078 (119.37/col)
  233. Fri Sep 23 01:11:49 2016 filtering completed in 2 passes
  234. Fri Sep 23 01:11:51 2016 matrix is 8763201 x 8763378 (4358.4 MB) with weight 1250991919 (142.75/col)
  235. Fri Sep 23 01:11:51 2016 sparse part has weight 1046119125 (119.37/col)
  236. Fri Sep 23 01:16:20 2016 matrix starts at (0, 0)
  237. Fri Sep 23 01:16:23 2016 matrix is 8763201 x 8763378 (4358.4 MB) with weight 1250991919 (142.75/col)
  238. Fri Sep 23 01:16:23 2016 sparse part has weight 1046119125 (119.37/col)
  239. Fri Sep 23 01:16:23 2016 saving the first 48 matrix rows for later
  240. Fri Sep 23 01:16:26 2016 matrix includes 64 packed rows
  241. Fri Sep 23 01:16:28 2016 matrix is 8763153 x 8763378 (4168.3 MB) with weight 1077163221 (122.92/col)
  242. Fri Sep 23 01:16:28 2016 sparse part has weight 1005062927 (114.69/col)
  243. Fri Sep 23 01:16:28 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  244. Fri Sep 23 01:17:21 2016 commencing Lanczos iteration (4 threads)
  245. Fri Sep 23 01:17:21 2016 memory use: 3538.6 MB
  246. Fri Sep 23 01:18:04 2016 linear algebra at 0.0%, ETA 65h49m
  247. Fri Sep 23 01:18:17 2016 checkpointing every 140000 dimensions
  248. Sun Sep 25 16:56:10 2016 lanczos halted after 138582 iterations (dim = 8763152)
  249. Sun Sep 25 16:56:29 2016 recovered 35 nontrivial dependencies
  250. Sun Sep 25 16:56:36 2016 BLanczosTime: 230690
  251. Sun Sep 25 16:56:36 2016
  252. Sun Sep 25 16:56:36 2016 commencing square root phase
  253. Sun Sep 25 16:56:36 2016 handling dependencies 1 to 64
  254. Sun Sep 25 16:56:36 2016 reading relations for dependency 1
  255. Sun Sep 25 16:56:38 2016 read 4381304 cycles
  256. Sun Sep 25 16:56:47 2016 cycles contain 14429856 unique relations
  257. Sun Sep 25 17:03:57 2016 read 14429856 relations
  258. Sun Sep 25 17:05:16 2016 multiplying 14429856 relations
  259. Sun Sep 25 17:17:10 2016 multiply complete, coefficients have about 375.13 million bits
  260. Sun Sep 25 17:17:15 2016 initial square root is modulo 5382673
  261. Sun Sep 25 17:32:23 2016 sqrtTime: 2147
  262. Sun Sep 25 17:32:23 2016 prp63 factor: 165354796458345914605165139424482992513332726208359487846383977
  263. Sun Sep 25 17:32:23 2016 prp164 factor: 28375739241182213806145712923564050394266902673515697209488423961051903418812580320357686672456691080107405632391671848967580919735009082963332078928674035206236369
  264. Sun Sep 25 17:32:23 2016 elapsed time 67:28:07
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