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Jun 11th, 2016
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  1. Fri Jun 10 09:10:48 2016
  2. Fri Jun 10 09:10:48 2016
  3. Fri Jun 10 09:10:48 2016 Msieve v. 1.53 (SVN 988M)
  4. Fri Jun 10 09:10:48 2016 random seeds: e2e74096 60a16185
  5. Fri Jun 10 09:10:48 2016 factoring 28344454669700937982797444186466415325033706181577067762896190374123447455026338392621835475575676811056079977697169861657343481666798534725443344378573209949905770568060681199953 (179 digits)
  6. Fri Jun 10 09:10:48 2016 searching for 15-digit factors
  7. Fri Jun 10 09:10:49 2016 commencing number field sieve (179-digit input)
  8. Fri Jun 10 09:10:49 2016 R0: 1348279907365869037210940254745047725673
  9. Fri Jun 10 09:10:49 2016 R1: -14551915228366851806640625
  10. Fri Jun 10 09:10:49 2016 A0: 9125
  11. Fri Jun 10 09:10:49 2016 A1: 0
  12. Fri Jun 10 09:10:49 2016 A2: 0
  13. Fri Jun 10 09:10:49 2016 A3: 0
  14. Fri Jun 10 09:10:49 2016 A4: 0
  15. Fri Jun 10 09:10:49 2016 A5: 0
  16. Fri Jun 10 09:10:49 2016 A6: 1
  17. Fri Jun 10 09:10:49 2016 skew 4.57, size 1.244e-11, alpha -1.187, combined = 7.561e-13 rroots = 0
  18. Fri Jun 10 09:10:49 2016
  19. Fri Jun 10 09:10:49 2016 commencing relation filtering
  20. Fri Jun 10 09:10:49 2016 setting target matrix density to 120.0
  21. Fri Jun 10 09:10:49 2016 estimated available RAM is 16384.0 MB
  22. Fri Jun 10 09:10:49 2016 commencing duplicate removal, pass 1
  23. Fri Jun 10 09:24:51 2016 error -5 reading relation 122704220
  24. Fri Jun 10 09:28:04 2016 error -15 reading relation 150760422
  25. Fri Jun 10 09:28:06 2016 error -15 reading relation 151048133
  26. Fri Jun 10 09:28:06 2016 error -9 reading relation 151138937
  27. Fri Jun 10 09:29:07 2016 error -9 reading relation 159953805
  28. Fri Jun 10 09:31:58 2016 error -9 reading relation 184932815
  29. Fri Jun 10 09:32:05 2016 error -9 reading relation 186019977
  30. Fri Jun 10 09:34:31 2016 error -9 reading relation 207268060
  31. Fri Jun 10 09:34:55 2016 error -5 reading relation 210813710
  32. Fri Jun 10 09:34:55 2016 error -15 reading relation 210915001
  33. Fri Jun 10 09:35:42 2016 error -9 reading relation 217834089
  34. Fri Jun 10 09:35:47 2016 error -15 reading relation 218473420
  35. Fri Jun 10 09:35:48 2016 error -11 reading relation 218694795
  36. Fri Jun 10 09:35:48 2016 error -5 reading relation 218714771
  37. Fri Jun 10 09:36:09 2016 error -9 reading relation 221892948
  38. Fri Jun 10 09:36:24 2016 error -5 reading relation 223989350
  39. Fri Jun 10 09:36:26 2016 skipped 2 relations with b > 2^32
  40. Fri Jun 10 09:36:26 2016 skipped 10 relations with composite factors
  41. Fri Jun 10 09:36:26 2016 found 36485305 hash collisions in 224378549 relations
  42. Fri Jun 10 09:36:39 2016 added 1219510 free relations
  43. Fri Jun 10 09:36:39 2016 commencing duplicate removal, pass 2
  44. Fri Jun 10 09:39:46 2016 found 32953318 duplicates and 192644741 unique relations
  45. Fri Jun 10 09:39:46 2016 memory use: 1321.5 MB
  46. Fri Jun 10 09:39:46 2016 reading ideals above 102301696
  47. Fri Jun 10 09:39:46 2016 commencing singleton removal, initial pass
  48. Fri Jun 10 09:56:56 2016 memory use: 3012.0 MB
  49. Fri Jun 10 09:56:56 2016 reading all ideals from disk
  50. Fri Jun 10 09:57:04 2016 memory use: 3418.4 MB
  51. Fri Jun 10 09:57:12 2016 commencing in-memory singleton removal
  52. Fri Jun 10 09:57:19 2016 begin with 192644741 relations and 160815963 unique ideals
  53. Fri Jun 10 09:58:32 2016 reduce to 123302410 relations and 84129070 ideals in 13 passes
  54. Fri Jun 10 09:58:32 2016 max relations containing the same ideal: 34
  55. Fri Jun 10 09:58:41 2016 reading ideals above 720000
  56. Fri Jun 10 09:58:42 2016 commencing singleton removal, initial pass
  57. Fri Jun 10 10:13:02 2016 memory use: 2756.0 MB
  58. Fri Jun 10 10:13:02 2016 reading all ideals from disk
  59. Fri Jun 10 10:13:19 2016 memory use: 4706.8 MB
  60. Fri Jun 10 10:13:32 2016 keeping 95288144 ideals with weight <= 200, target excess is 612605
  61. Fri Jun 10 10:13:42 2016 commencing in-memory singleton removal
  62. Fri Jun 10 10:13:51 2016 begin with 123302410 relations and 95288144 unique ideals
  63. Fri Jun 10 10:14:39 2016 reduce to 123301328 relations and 95287062 ideals in 6 passes
  64. Fri Jun 10 10:14:39 2016 max relations containing the same ideal: 200
  65. Fri Jun 10 10:15:21 2016 removing 10475599 relations and 8475599 ideals in 2000000 cliques
  66. Fri Jun 10 10:15:24 2016 commencing in-memory singleton removal
  67. Fri Jun 10 10:15:33 2016 begin with 112825729 relations and 95287062 unique ideals
  68. Fri Jun 10 10:16:30 2016 reduce to 112173960 relations and 86146410 ideals in 8 passes
  69. Fri Jun 10 10:16:30 2016 max relations containing the same ideal: 195
  70. Fri Jun 10 10:17:09 2016 removing 7933351 relations and 5933351 ideals in 2000000 cliques
  71. Fri Jun 10 10:17:11 2016 commencing in-memory singleton removal
  72. Fri Jun 10 10:17:19 2016 begin with 104240609 relations and 86146410 unique ideals
  73. Fri Jun 10 10:18:11 2016 reduce to 103804688 relations and 79769432 ideals in 8 passes
  74. Fri Jun 10 10:18:11 2016 max relations containing the same ideal: 189
  75. Fri Jun 10 10:18:47 2016 removing 7195448 relations and 5195448 ideals in 2000000 cliques
  76. Fri Jun 10 10:18:49 2016 commencing in-memory singleton removal
  77. Fri Jun 10 10:18:56 2016 begin with 96609240 relations and 79769432 unique ideals
  78. Fri Jun 10 10:19:38 2016 reduce to 96227857 relations and 74185726 ideals in 7 passes
  79. Fri Jun 10 10:19:38 2016 max relations containing the same ideal: 180
  80. Fri Jun 10 10:20:11 2016 removing 6809333 relations and 4809333 ideals in 2000000 cliques
  81. Fri Jun 10 10:20:14 2016 commencing in-memory singleton removal
  82. Fri Jun 10 10:20:20 2016 begin with 89418524 relations and 74185726 unique ideals
  83. Fri Jun 10 10:20:58 2016 reduce to 89059672 relations and 69010936 ideals in 7 passes
  84. Fri Jun 10 10:20:58 2016 max relations containing the same ideal: 173
  85. Fri Jun 10 10:21:29 2016 removing 6572048 relations and 4572048 ideals in 2000000 cliques
  86. Fri Jun 10 10:21:31 2016 commencing in-memory singleton removal
  87. Fri Jun 10 10:21:37 2016 begin with 82487624 relations and 69010936 unique ideals
  88. Fri Jun 10 10:22:12 2016 reduce to 82139246 relations and 64083401 ideals in 7 passes
  89. Fri Jun 10 10:22:12 2016 max relations containing the same ideal: 162
  90. Fri Jun 10 10:22:41 2016 removing 6408223 relations and 4408223 ideals in 2000000 cliques
  91. Fri Jun 10 10:22:43 2016 commencing in-memory singleton removal
  92. Fri Jun 10 10:22:48 2016 begin with 75731023 relations and 64083401 unique ideals
  93. Fri Jun 10 10:23:19 2016 reduce to 75381898 relations and 59318516 ideals in 7 passes
  94. Fri Jun 10 10:23:19 2016 max relations containing the same ideal: 155
  95. Fri Jun 10 10:23:45 2016 removing 6293103 relations and 4293103 ideals in 2000000 cliques
  96. Fri Jun 10 10:23:47 2016 commencing in-memory singleton removal
  97. Fri Jun 10 10:23:51 2016 begin with 69088795 relations and 59318516 unique ideals
  98. Fri Jun 10 10:24:19 2016 reduce to 68729951 relations and 54658173 ideals in 7 passes
  99. Fri Jun 10 10:24:19 2016 max relations containing the same ideal: 148
  100. Fri Jun 10 10:24:42 2016 removing 6212752 relations and 4212752 ideals in 2000000 cliques
  101. Fri Jun 10 10:24:44 2016 commencing in-memory singleton removal
  102. Fri Jun 10 10:24:48 2016 begin with 62517199 relations and 54658173 unique ideals
  103. Fri Jun 10 10:25:10 2016 reduce to 62140951 relations and 50059596 ideals in 6 passes
  104. Fri Jun 10 10:25:10 2016 max relations containing the same ideal: 141
  105. Fri Jun 10 10:25:31 2016 removing 6157234 relations and 4157234 ideals in 2000000 cliques
  106. Fri Jun 10 10:25:33 2016 commencing in-memory singleton removal
  107. Fri Jun 10 10:25:36 2016 begin with 55983717 relations and 50059596 unique ideals
  108. Fri Jun 10 10:25:58 2016 reduce to 55583062 relations and 45490547 ideals in 7 passes
  109. Fri Jun 10 10:25:58 2016 max relations containing the same ideal: 130
  110. Fri Jun 10 10:26:16 2016 removing 6126801 relations and 4126801 ideals in 2000000 cliques
  111. Fri Jun 10 10:26:18 2016 commencing in-memory singleton removal
  112. Fri Jun 10 10:26:21 2016 begin with 49456261 relations and 45490547 unique ideals
  113. Fri Jun 10 10:26:39 2016 reduce to 49019807 relations and 40913744 ideals in 7 passes
  114. Fri Jun 10 10:26:39 2016 max relations containing the same ideal: 123
  115. Fri Jun 10 10:26:56 2016 removing 6116229 relations and 4116229 ideals in 2000000 cliques
  116. Fri Jun 10 10:26:58 2016 commencing in-memory singleton removal
  117. Fri Jun 10 10:27:00 2016 begin with 42903578 relations and 40913744 unique ideals
  118. Fri Jun 10 10:27:15 2016 reduce to 42415432 relations and 36292479 ideals in 7 passes
  119. Fri Jun 10 10:27:15 2016 max relations containing the same ideal: 110
  120. Fri Jun 10 10:27:29 2016 removing 6122887 relations and 4122887 ideals in 2000000 cliques
  121. Fri Jun 10 10:27:31 2016 commencing in-memory singleton removal
  122. Fri Jun 10 10:27:33 2016 begin with 36292545 relations and 36292479 unique ideals
  123. Fri Jun 10 10:27:47 2016 reduce to 35728250 relations and 31582587 ideals in 8 passes
  124. Fri Jun 10 10:27:47 2016 max relations containing the same ideal: 97
  125. Fri Jun 10 10:27:59 2016 removing 6150797 relations and 4150797 ideals in 2000000 cliques
  126. Fri Jun 10 10:28:00 2016 commencing in-memory singleton removal
  127. Fri Jun 10 10:28:02 2016 begin with 29577453 relations and 31582587 unique ideals
  128. Fri Jun 10 10:28:11 2016 reduce to 28895502 relations and 26717181 ideals in 7 passes
  129. Fri Jun 10 10:28:11 2016 max relations containing the same ideal: 81
  130. Fri Jun 10 10:28:20 2016 removing 4813421 relations and 3345722 ideals in 1467699 cliques
  131. Fri Jun 10 10:28:21 2016 commencing in-memory singleton removal
  132. Fri Jun 10 10:28:22 2016 begin with 24082081 relations and 26717181 unique ideals
  133. Fri Jun 10 10:28:30 2016 reduce to 23534966 relations and 22799836 ideals in 8 passes
  134. Fri Jun 10 10:28:30 2016 max relations containing the same ideal: 69
  135. Fri Jun 10 10:28:38 2016 removing 161861 relations and 137353 ideals in 24508 cliques
  136. Fri Jun 10 10:28:38 2016 commencing in-memory singleton removal
  137. Fri Jun 10 10:28:39 2016 begin with 23373105 relations and 22799836 unique ideals
  138. Fri Jun 10 10:28:44 2016 reduce to 23372296 relations and 22661673 ideals in 5 passes
  139. Fri Jun 10 10:28:44 2016 max relations containing the same ideal: 69
  140. Fri Jun 10 10:28:47 2016 relations with 0 large ideals: 23349
  141. Fri Jun 10 10:28:47 2016 relations with 1 large ideals: 11489
  142. Fri Jun 10 10:28:47 2016 relations with 2 large ideals: 149475
  143. Fri Jun 10 10:28:47 2016 relations with 3 large ideals: 904989
  144. Fri Jun 10 10:28:47 2016 relations with 4 large ideals: 2899405
  145. Fri Jun 10 10:28:47 2016 relations with 5 large ideals: 5452007
  146. Fri Jun 10 10:28:47 2016 relations with 6 large ideals: 6304130
  147. Fri Jun 10 10:28:47 2016 relations with 7+ large ideals: 7627452
  148. Fri Jun 10 10:28:47 2016 commencing 2-way merge
  149. Fri Jun 10 10:28:57 2016 reduce to 15134327 relation sets and 14423704 unique ideals
  150. Fri Jun 10 10:28:57 2016 commencing full merge
  151. Fri Jun 10 10:34:25 2016 memory use: 1958.1 MB
  152. Fri Jun 10 10:34:28 2016 found 6845398 cycles, need 6817904
  153. Fri Jun 10 10:34:28 2016 weight of 6817904 cycles is about 818690414 (120.08/cycle)
  154. Fri Jun 10 10:34:28 2016 distribution of cycle lengths:
  155. Fri Jun 10 10:34:28 2016 1 relations: 249406
  156. Fri Jun 10 10:34:28 2016 2 relations: 384875
  157. Fri Jun 10 10:34:28 2016 3 relations: 457075
  158. Fri Jun 10 10:34:28 2016 4 relations: 483438
  159. Fri Jun 10 10:34:28 2016 5 relations: 499152
  160. Fri Jun 10 10:34:28 2016 6 relations: 501774
  161. Fri Jun 10 10:34:28 2016 7 relations: 494587
  162. Fri Jun 10 10:34:28 2016 8 relations: 475591
  163. Fri Jun 10 10:34:28 2016 9 relations: 446849
  164. Fri Jun 10 10:34:28 2016 10+ relations: 2825157
  165. Fri Jun 10 10:34:28 2016 heaviest cycle: 28 relations
  166. Fri Jun 10 10:34:30 2016 commencing cycle optimization
  167. Fri Jun 10 10:34:43 2016 start with 62199342 relations
  168. Fri Jun 10 10:37:09 2016 pruned 2964011 relations
  169. Fri Jun 10 10:37:09 2016 memory use: 1608.7 MB
  170. Fri Jun 10 10:37:09 2016 distribution of cycle lengths:
  171. Fri Jun 10 10:37:09 2016 1 relations: 249406
  172. Fri Jun 10 10:37:09 2016 2 relations: 394182
  173. Fri Jun 10 10:37:09 2016 3 relations: 475923
  174. Fri Jun 10 10:37:09 2016 4 relations: 503417
  175. Fri Jun 10 10:37:09 2016 5 relations: 524857
  176. Fri Jun 10 10:37:09 2016 6 relations: 527261
  177. Fri Jun 10 10:37:09 2016 7 relations: 522791
  178. Fri Jun 10 10:37:09 2016 8 relations: 500460
  179. Fri Jun 10 10:37:09 2016 9 relations: 469970
  180. Fri Jun 10 10:37:09 2016 10+ relations: 2649637
  181. Fri Jun 10 10:37:09 2016 heaviest cycle: 28 relations
  182. Fri Jun 10 10:37:19 2016 RelProcTime: 5190
  183. Fri Jun 10 10:37:19 2016
  184. Fri Jun 10 10:37:19 2016 commencing linear algebra
  185. Fri Jun 10 10:37:21 2016 read 6817904 cycles
  186. Fri Jun 10 10:37:34 2016 cycles contain 22994794 unique relations
  187. Fri Jun 10 10:41:10 2016 read 22994794 relations
  188. Fri Jun 10 10:41:42 2016 using 20 quadratic characters above 4294917295
  189. Fri Jun 10 10:43:06 2016 building initial matrix
  190. Fri Jun 10 10:47:09 2016 memory use: 2963.7 MB
  191. Fri Jun 10 10:47:16 2016 read 6817904 cycles
  192. Fri Jun 10 10:47:17 2016 matrix is 6817727 x 6817904 (3188.8 MB) with weight 929781632 (136.37/col)
  193. Fri Jun 10 10:47:17 2016 sparse part has weight 760918454 (111.61/col)
  194. Fri Jun 10 10:48:18 2016 filtering completed in 2 passes
  195. Fri Jun 10 10:48:19 2016 matrix is 6817591 x 6817768 (3188.8 MB) with weight 929776236 (136.38/col)
  196. Fri Jun 10 10:48:19 2016 sparse part has weight 760916708 (111.61/col)
  197. Fri Jun 10 10:48:41 2016 matrix starts at (0, 0)
  198. Fri Jun 10 10:48:41 2016 matrix is 6817591 x 6817768 (3188.8 MB) with weight 929776236 (136.38/col)
  199. Fri Jun 10 10:48:41 2016 sparse part has weight 760916708 (111.61/col)
  200. Fri Jun 10 10:48:41 2016 saving the first 48 matrix rows for later
  201. Fri Jun 10 10:48:42 2016 matrix includes 64 packed rows
  202. Fri Jun 10 10:48:43 2016 matrix is 6817543 x 6817768 (3058.5 MB) with weight 793830610 (116.44/col)
  203. Fri Jun 10 10:48:43 2016 sparse part has weight 733587650 (107.60/col)
  204. Fri Jun 10 10:48:43 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  205. Fri Jun 10 10:49:17 2016 commencing Lanczos iteration (4 threads)
  206. Fri Jun 10 10:49:17 2016 memory use: 2582.4 MB
  207. Fri Jun 10 10:49:42 2016 linear algebra at 0.0%, ETA 28h39m
  208. Fri Jun 10 10:49:50 2016 checkpointing every 240000 dimensions
  209. Sat Jun 11 16:26:23 2016 lanczos halted after 107810 iterations (dim = 6817539)
  210. Sat Jun 11 16:26:35 2016 recovered 34 nontrivial dependencies
  211. Sat Jun 11 16:26:35 2016 BLanczosTime: 107356
  212. Sat Jun 11 16:26:35 2016
  213. Sat Jun 11 16:26:35 2016 commencing square root phase
  214. Sat Jun 11 16:26:36 2016 handling dependencies 1 to 64
  215. Sat Jun 11 16:26:36 2016 reading relations for dependency 1
  216. Sat Jun 11 16:26:38 2016 read 3409746 cycles
  217. Sat Jun 11 16:26:44 2016 cycles contain 11501242 unique relations
  218. Sat Jun 11 16:29:37 2016 read 11501242 relations
  219. Sat Jun 11 16:30:19 2016 multiplying 11501242 relations
  220. Sat Jun 11 16:36:32 2016 multiply complete, coefficients have about 295.13 million bits
  221. Sat Jun 11 16:36:33 2016 initial square root is modulo 197569
  222. Sat Jun 11 16:42:50 2016 GCD is 1, no factor found
  223. Sat Jun 11 16:42:50 2016 reading relations for dependency 2
  224. Sat Jun 11 16:42:53 2016 read 3411267 cycles
  225. Sat Jun 11 16:42:59 2016 cycles contain 11498272 unique relations
  226. Sat Jun 11 16:45:52 2016 read 11498272 relations
  227. Sat Jun 11 16:46:35 2016 multiplying 11498272 relations
  228. Sat Jun 11 16:52:46 2016 multiply complete, coefficients have about 295.07 million bits
  229. Sat Jun 11 16:52:47 2016 initial square root is modulo 197077
  230. Sat Jun 11 16:59:05 2016 GCD is 1, no factor found
  231. Sat Jun 11 16:59:05 2016 reading relations for dependency 3
  232. Sat Jun 11 16:59:08 2016 read 3409895 cycles
  233. Sat Jun 11 16:59:14 2016 cycles contain 11498974 unique relations
  234. Sat Jun 11 17:02:07 2016 read 11498974 relations
  235. Sat Jun 11 17:02:49 2016 multiplying 11498974 relations
  236. Sat Jun 11 17:09:01 2016 multiply complete, coefficients have about 295.09 million bits
  237. Sat Jun 11 17:09:02 2016 initial square root is modulo 197203
  238. Sat Jun 11 17:15:19 2016 sqrtTime: 2924
  239. Sat Jun 11 17:15:19 2016 p87 factor: 111347083662390416172353562598041810094599491420863072528083681298611288468246178101533
  240. Sat Jun 11 17:15:19 2016 p93 factor: 254559470597745109433563345671210992312888422603692958371085549450843105450394870219652908741
  241. Sat Jun 11 17:15:19 2016 elapsed time 32:04:31
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