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  1. Sat Jan 3 10:48:34 2015
  2. Sat Jan 3 10:48:34 2015
  3. Sat Jan 3 10:48:34 2015 Msieve v. 1.52 (SVN 956M)
  4. Sat Jan 3 10:48:34 2015 random seeds: 8851d7d1 c86fd1f7
  5. Sat Jan 3 10:48:34 2015 factoring 17118954166604146368486249339449617697419879438777947768504658438564930150802761550356298284272056491163345065239751278131585818816936932074908298321352230510110088596200006940608003146304083762601445829211144438321562139 (221 digits)
  6. Sat Jan 3 10:48:35 2015 no P-1/P+1/ECM available, skipping
  7. Sat Jan 3 10:48:35 2015 commencing number field sieve (221-digit input)
  8. Sat Jan 3 10:48:35 2015 R0: -19118715823042429491729074582041753821507871751
  9. Sat Jan 3 10:48:35 2015 R1: 181414317867238075368413196009
  10. Sat Jan 3 10:48:35 2015 A0: 620043
  11. Sat Jan 3 10:48:35 2015 A1: 0
  12. Sat Jan 3 10:48:35 2015 A2: 0
  13. Sat Jan 3 10:48:35 2015 A3: 0
  14. Sat Jan 3 10:48:35 2015 A4: 0
  15. Sat Jan 3 10:48:35 2015 A5: 1
  16. Sat Jan 3 10:48:35 2015 skew 14.40, size 1.938e-16, alpha 1.004, combined = 3.980e-13 rroots = 1
  17. Sat Jan 3 10:48:35 2015
  18. Sat Jan 3 10:48:35 2015 commencing relation filtering
  19. Sat Jan 3 10:48:35 2015 setting target matrix density to 120.0
  20. Sat Jan 3 10:48:35 2015 estimated available RAM is 15928.2 MB
  21. Sat Jan 3 10:48:35 2015 commencing duplicate removal, pass 1
  22. 418 lines of errors
  23. Sat Jan 3 11:03:40 2015 skipped 3 relations with b > 2^32
  24. Sat Jan 3 11:03:40 2015 found 40296606 hash collisions in 228758658 relations
  25. Sat Jan 3 11:04:06 2015 added 732320 free relations
  26. Sat Jan 3 11:04:06 2015 commencing duplicate removal, pass 2
  27. Sat Jan 3 11:05:12 2015 found 37777787 duplicates and 191713191 unique relations
  28. Sat Jan 3 11:05:12 2015 memory use: 1321.5 MB
  29. Sat Jan 3 11:05:12 2015 reading ideals above 149880832
  30. Sat Jan 3 11:05:12 2015 commencing singleton removal, initial pass
  31. Sat Jan 3 11:20:02 2015 memory use: 3012.0 MB
  32. Sat Jan 3 11:20:02 2015 reading all ideals from disk
  33. Sat Jan 3 11:20:07 2015 memory use: 3182.5 MB
  34. Sat Jan 3 11:20:13 2015 commencing in-memory singleton removal
  35. Sat Jan 3 11:20:19 2015 begin with 191713191 relations and 156859524 unique ideals
  36. Sat Jan 3 11:21:15 2015 reduce to 122718394 relations and 80628304 ideals in 13 passes
  37. Sat Jan 3 11:21:15 2015 max relations containing the same ideal: 46
  38. Sat Jan 3 11:21:20 2015 reading ideals above 720000
  39. Sat Jan 3 11:21:20 2015 commencing singleton removal, initial pass
  40. Sat Jan 3 11:33:31 2015 memory use: 2756.0 MB
  41. Sat Jan 3 11:33:31 2015 reading all ideals from disk
  42. Sat Jan 3 11:33:41 2015 memory use: 4775.9 MB
  43. Sat Jan 3 11:33:53 2015 keeping 96872177 ideals with weight <= 200, target excess is 633295
  44. Sat Jan 3 11:34:06 2015 commencing in-memory singleton removal
  45. Sat Jan 3 11:34:14 2015 begin with 122718395 relations and 96872177 unique ideals
  46. Sat Jan 3 11:35:32 2015 reduce to 122700084 relations and 96853864 ideals in 10 passes
  47. Sat Jan 3 11:35:32 2015 max relations containing the same ideal: 200
  48. Sat Jan 3 11:36:09 2015 removing 10706003 relations and 8706003 ideals in 2000000 cliques
  49. Sat Jan 3 11:36:12 2015 commencing in-memory singleton removal
  50. Sat Jan 3 11:36:18 2015 begin with 111994081 relations and 96853864 unique ideals
  51. Sat Jan 3 11:37:14 2015 reduce to 111315891 relations and 87455742 ideals in 9 passes
  52. Sat Jan 3 11:37:14 2015 max relations containing the same ideal: 195
  53. Sat Jan 3 11:37:47 2015 removing 8123308 relations and 6123308 ideals in 2000000 cliques
  54. Sat Jan 3 11:37:50 2015 commencing in-memory singleton removal
  55. Sat Jan 3 11:37:55 2015 begin with 103192583 relations and 87455742 unique ideals
  56. Sat Jan 3 11:38:35 2015 reduce to 102738959 relations and 80870573 ideals in 7 passes
  57. Sat Jan 3 11:38:35 2015 max relations containing the same ideal: 188
  58. Sat Jan 3 11:39:06 2015 removing 7355236 relations and 5355236 ideals in 2000000 cliques
  59. Sat Jan 3 11:39:08 2015 commencing in-memory singleton removal
  60. Sat Jan 3 11:39:13 2015 begin with 95383723 relations and 80870573 unique ideals
  61. Sat Jan 3 11:39:50 2015 reduce to 94982220 relations and 75106675 ideals in 7 passes
  62. Sat Jan 3 11:39:50 2015 max relations containing the same ideal: 182
  63. Sat Jan 3 11:40:19 2015 removing 6967168 relations and 4967168 ideals in 2000000 cliques
  64. Sat Jan 3 11:40:21 2015 commencing in-memory singleton removal
  65. Sat Jan 3 11:40:26 2015 begin with 88015052 relations and 75106675 unique ideals
  66. Sat Jan 3 11:41:00 2015 reduce to 87637337 relations and 69754609 ideals in 7 passes
  67. Sat Jan 3 11:41:00 2015 max relations containing the same ideal: 170
  68. Sat Jan 3 11:41:27 2015 removing 6727603 relations and 4727603 ideals in 2000000 cliques
  69. Sat Jan 3 11:41:29 2015 commencing in-memory singleton removal
  70. Sat Jan 3 11:41:33 2015 begin with 80909734 relations and 69754609 unique ideals
  71. Sat Jan 3 11:42:04 2015 reduce to 80542078 relations and 64651739 ideals in 7 passes
  72. Sat Jan 3 11:42:04 2015 max relations containing the same ideal: 165
  73. Sat Jan 3 11:42:29 2015 removing 6560161 relations and 4560161 ideals in 2000000 cliques
  74. Sat Jan 3 11:42:31 2015 commencing in-memory singleton removal
  75. Sat Jan 3 11:42:35 2015 begin with 73981917 relations and 64651739 unique ideals
  76. Sat Jan 3 11:43:03 2015 reduce to 73612682 relations and 59714242 ideals in 7 passes
  77. Sat Jan 3 11:43:03 2015 max relations containing the same ideal: 157
  78. Sat Jan 3 11:43:26 2015 removing 6443006 relations and 4443006 ideals in 2000000 cliques
  79. Sat Jan 3 11:43:28 2015 commencing in-memory singleton removal
  80. Sat Jan 3 11:43:32 2015 begin with 67169676 relations and 59714242 unique ideals
  81. Sat Jan 3 11:43:57 2015 reduce to 66791544 relations and 54884205 ideals in 7 passes
  82. Sat Jan 3 11:43:57 2015 max relations containing the same ideal: 148
  83. Sat Jan 3 11:44:18 2015 removing 6353139 relations and 4353139 ideals in 2000000 cliques
  84. Sat Jan 3 11:44:20 2015 commencing in-memory singleton removal
  85. Sat Jan 3 11:44:23 2015 begin with 60438405 relations and 54884205 unique ideals
  86. Sat Jan 3 11:44:46 2015 reduce to 60044211 relations and 50126821 ideals in 7 passes
  87. Sat Jan 3 11:44:46 2015 max relations containing the same ideal: 134
  88. Sat Jan 3 11:45:05 2015 removing 6286825 relations and 4286825 ideals in 2000000 cliques
  89. Sat Jan 3 11:45:07 2015 commencing in-memory singleton removal
  90. Sat Jan 3 11:45:09 2015 begin with 53757386 relations and 50126821 unique ideals
  91. Sat Jan 3 11:45:27 2015 reduce to 53340792 relations and 45411416 ideals in 6 passes
  92. Sat Jan 3 11:45:27 2015 max relations containing the same ideal: 123
  93. Sat Jan 3 11:45:43 2015 removing 6241217 relations and 4241217 ideals in 2000000 cliques
  94. Sat Jan 3 11:45:45 2015 commencing in-memory singleton removal
  95. Sat Jan 3 11:45:48 2015 begin with 47099575 relations and 45411416 unique ideals
  96. Sat Jan 3 11:46:05 2015 reduce to 46648055 relations and 40704704 ideals in 7 passes
  97. Sat Jan 3 11:46:05 2015 max relations containing the same ideal: 118
  98. Sat Jan 3 11:46:20 2015 removing 6205059 relations and 4205059 ideals in 2000000 cliques
  99. Sat Jan 3 11:46:22 2015 commencing in-memory singleton removal
  100. Sat Jan 3 11:46:24 2015 begin with 40442996 relations and 40704704 unique ideals
  101. Sat Jan 3 11:46:39 2015 reduce to 39941685 relations and 35980287 ideals in 7 passes
  102. Sat Jan 3 11:46:39 2015 max relations containing the same ideal: 102
  103. Sat Jan 3 11:46:52 2015 removing 6179999 relations and 4179999 ideals in 2000000 cliques
  104. Sat Jan 3 11:46:53 2015 commencing in-memory singleton removal
  105. Sat Jan 3 11:46:55 2015 begin with 33761686 relations and 35980287 unique ideals
  106. Sat Jan 3 11:47:07 2015 reduce to 33179685 relations and 31193899 ideals in 7 passes
  107. Sat Jan 3 11:47:07 2015 max relations containing the same ideal: 90
  108. Sat Jan 3 11:47:18 2015 removing 4209534 relations and 2958371 ideals in 1251163 cliques
  109. Sat Jan 3 11:47:19 2015 commencing in-memory singleton removal
  110. Sat Jan 3 11:47:20 2015 begin with 28970151 relations and 31193899 unique ideals
  111. Sat Jan 3 11:47:31 2015 reduce to 28626543 relations and 27880616 ideals in 7 passes
  112. Sat Jan 3 11:47:31 2015 max relations containing the same ideal: 85
  113. Sat Jan 3 11:47:40 2015 removing 76581 relations and 65277 ideals in 11304 cliques
  114. Sat Jan 3 11:47:41 2015 commencing in-memory singleton removal
  115. Sat Jan 3 11:47:42 2015 begin with 28549962 relations and 27880616 unique ideals
  116. Sat Jan 3 11:47:48 2015 reduce to 28549839 relations and 27815216 ideals in 4 passes
  117. Sat Jan 3 11:47:48 2015 max relations containing the same ideal: 85
  118. Sat Jan 3 11:47:53 2015 relations with 0 large ideals: 13098
  119. Sat Jan 3 11:47:53 2015 relations with 1 large ideals: 8558
  120. Sat Jan 3 11:47:53 2015 relations with 2 large ideals: 126727
  121. Sat Jan 3 11:47:53 2015 relations with 3 large ideals: 838904
  122. Sat Jan 3 11:47:53 2015 relations with 4 large ideals: 2936509
  123. Sat Jan 3 11:47:53 2015 relations with 5 large ideals: 6066379
  124. Sat Jan 3 11:47:53 2015 relations with 6 large ideals: 8017901
  125. Sat Jan 3 11:47:53 2015 relations with 7+ large ideals: 10541763
  126. Sat Jan 3 11:47:53 2015 commencing 2-way merge
  127. Sat Jan 3 11:48:04 2015 reduce to 18969701 relation sets and 18235078 unique ideals
  128. Sat Jan 3 11:48:04 2015 commencing full merge
  129. Sat Jan 3 11:52:49 2015 memory use: 2383.7 MB
  130. Sat Jan 3 11:52:50 2015 found 8644184 cycles, need 8591278
  131. Sat Jan 3 11:52:52 2015 weight of 8591278 cycles is about 1031313200 (120.04/cycle)
  132. Sat Jan 3 11:52:52 2015 distribution of cycle lengths:
  133. Sat Jan 3 11:52:52 2015 1 relations: 242442
  134. Sat Jan 3 11:52:52 2015 2 relations: 471311
  135. Sat Jan 3 11:52:52 2015 3 relations: 590602
  136. Sat Jan 3 11:52:52 2015 4 relations: 636443
  137. Sat Jan 3 11:52:52 2015 5 relations: 667283
  138. Sat Jan 3 11:52:52 2015 6 relations: 670779
  139. Sat Jan 3 11:52:52 2015 7 relations: 664916
  140. Sat Jan 3 11:52:52 2015 8 relations: 637884
  141. Sat Jan 3 11:52:52 2015 9 relations: 597464
  142. Sat Jan 3 11:52:52 2015 10+ relations: 3412154
  143. Sat Jan 3 11:52:52 2015 heaviest cycle: 28 relations
  144. Sat Jan 3 11:52:53 2015 commencing cycle optimization
  145. Sat Jan 3 11:53:06 2015 start with 76028163 relations
  146. Sat Jan 3 11:55:04 2015 pruned 3691274 relations
  147. Sat Jan 3 11:55:04 2015 memory use: 1974.7 MB
  148. Sat Jan 3 11:55:04 2015 distribution of cycle lengths:
  149. Sat Jan 3 11:55:04 2015 1 relations: 242442
  150. Sat Jan 3 11:55:04 2015 2 relations: 484205
  151. Sat Jan 3 11:55:04 2015 3 relations: 618080
  152. Sat Jan 3 11:55:04 2015 4 relations: 665886
  153. Sat Jan 3 11:55:04 2015 5 relations: 704217
  154. Sat Jan 3 11:55:04 2015 6 relations: 707637
  155. Sat Jan 3 11:55:04 2015 7 relations: 703580
  156. Sat Jan 3 11:55:04 2015 8 relations: 672692
  157. Sat Jan 3 11:55:04 2015 9 relations: 626283
  158. Sat Jan 3 11:55:04 2015 10+ relations: 3166256
  159. Sat Jan 3 11:55:04 2015 heaviest cycle: 28 relations
  160. Sat Jan 3 11:55:13 2015 RelProcTime: 3998
  161. Sat Jan 3 11:55:13 2015
  162. Sat Jan 3 11:55:13 2015 commencing linear algebra
  163. Sat Jan 3 11:55:16 2015 read 8591278 cycles
  164. Sat Jan 3 11:55:31 2015 cycles contain 28184525 unique relations
  165. Sat Jan 3 11:57:37 2015 read 28184525 relations
  166. Sat Jan 3 11:58:11 2015 using 20 quadratic characters above 2147483138
  167. Sat Jan 3 11:59:48 2015 building initial matrix
  168. Sat Jan 3 12:04:24 2015 memory use: 3675.8 MB
  169. Sat Jan 3 12:04:27 2015 read 8591278 cycles
  170. Sat Jan 3 12:04:29 2015 matrix is 8591101 x 8591278 (4020.6 MB) with weight 1158549708 (134.85/col)
  171. Sat Jan 3 12:04:29 2015 sparse part has weight 959469431 (111.68/col)
  172. Sat Jan 3 12:05:47 2015 filtering completed in 2 passes
  173. Sat Jan 3 12:05:48 2015 matrix is 8590934 x 8591111 (4020.6 MB) with weight 1158543891 (134.85/col)
  174. Sat Jan 3 12:05:48 2015 sparse part has weight 959467511 (111.68/col)
  175. Sat Jan 3 12:06:33 2015 matrix starts at (0, 0)
  176. Sat Jan 3 12:06:34 2015 matrix is 8590934 x 8591111 (4020.6 MB) with weight 1158543891 (134.85/col)
  177. Sat Jan 3 12:06:34 2015 sparse part has weight 959467511 (111.68/col)
  178. Sat Jan 3 12:06:34 2015 saving the first 48 matrix rows for later
  179. Sat Jan 3 12:06:35 2015 matrix includes 64 packed rows
  180. Sat Jan 3 12:06:36 2015 matrix is 8590886 x 8591111 (3849.6 MB) with weight 989634106 (115.19/col)
  181. Sat Jan 3 12:06:36 2015 sparse part has weight 923240585 (107.46/col)
  182. Sat Jan 3 12:06:36 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  183. Sat Jan 3 12:07:04 2015 commencing Lanczos iteration (4 threads)
  184. Sat Jan 3 12:07:04 2015 memory use: 3263.0 MB
  185. Sat Jan 3 12:07:37 2015 linear algebra at 0.0%, ETA 48h43m
  186. Sat Jan 3 12:07:47 2015 checkpointing every 180000 dimensions
  187. Sun Jan 4 16:34:32 2015
  188. Sun Jan 4 16:34:32 2015
  189. Sun Jan 4 16:34:32 2015 Msieve v. 1.52 (SVN 956M)
  190. Sun Jan 4 16:34:32 2015 random seeds: 12f7ad47 246f0f61
  191. Sun Jan 4 16:34:32 2015 factoring 17118954166604146368486249339449617697419879438777947768504658438564930150802761550356298284272056491163345065239751278131585818816936932074908298321352230510110088596200006940608003146304083762601445829211144438321562139 (221 digits)
  192. Sun Jan 4 16:34:33 2015 no P-1/P+1/ECM available, skipping
  193. Sun Jan 4 16:34:33 2015 commencing number field sieve (221-digit input)
  194. Sun Jan 4 16:34:33 2015 R0: -19118715823042429491729074582041753821507871751
  195. Sun Jan 4 16:34:33 2015 R1: 181414317867238075368413196009
  196. Sun Jan 4 16:34:33 2015 A0: 620043
  197. Sun Jan 4 16:34:33 2015 A1: 0
  198. Sun Jan 4 16:34:33 2015 A2: 0
  199. Sun Jan 4 16:34:33 2015 A3: 0
  200. Sun Jan 4 16:34:33 2015 A4: 0
  201. Sun Jan 4 16:34:33 2015 A5: 1
  202. Sun Jan 4 16:34:33 2015 skew 14.40, size 1.938e-16, alpha 1.004, combined = 3.980e-13 rroots = 1
  203. Sun Jan 4 16:34:33 2015
  204. Sun Jan 4 16:34:33 2015 commencing linear algebra
  205. Sun Jan 4 16:34:41 2015 matrix starts at (0, 0)
  206. Sun Jan 4 16:34:42 2015 matrix is 8590934 x 8591111 (4020.6 MB) with weight 1158543891 (134.85/col)
  207. Sun Jan 4 16:34:42 2015 sparse part has weight 959467511 (111.68/col)
  208. Sun Jan 4 16:34:42 2015 saving the first 48 matrix rows for later
  209. Sun Jan 4 16:34:43 2015 matrix includes 64 packed rows
  210. Sun Jan 4 16:34:44 2015 matrix is 8590886 x 8591111 (3849.6 MB) with weight 989634106 (115.19/col)
  211. Sun Jan 4 16:34:44 2015 sparse part has weight 923240585 (107.46/col)
  212. Sun Jan 4 16:34:44 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  213. Sun Jan 4 16:35:12 2015 commencing Lanczos iteration (4 threads)
  214. Sun Jan 4 16:35:12 2015 memory use: 3263.0 MB
  215. Sun Jan 4 16:35:13 2015 restarting at iteration 71162 (dim = 4500050)
  216. Sun Jan 4 16:35:41 2015 linear algebra at 52.4%, ETA 20h58m
  217. Sun Jan 4 16:35:49 2015 checkpointing every 200000 dimensions
  218. Mon Jan 5 12:11:23 2015 lanczos halted after 135851 iterations (dim = 8590883)
  219. Mon Jan 5 12:11:29 2015 recovered 34 nontrivial dependencies
  220. Mon Jan 5 12:11:29 2015 BLanczosTime: 70616
  221. Mon Jan 5 12:11:29 2015 elapsed time 19:36:57
  222. Mon Jan 5 12:11:29 2015
  223. Mon Jan 5 12:11:29 2015
  224. Mon Jan 5 12:11:29 2015 Msieve v. 1.52 (SVN 956M)
  225. Mon Jan 5 12:11:29 2015 random seeds: e0b4bede 8643cfc0
  226. Mon Jan 5 12:11:29 2015 factoring 17118954166604146368486249339449617697419879438777947768504658438564930150802761550356298284272056491163345065239751278131585818816936932074908298321352230510110088596200006940608003146304083762601445829211144438321562139 (221 digits)
  227. Mon Jan 5 12:11:30 2015 no P-1/P+1/ECM available, skipping
  228. Mon Jan 5 12:11:30 2015 commencing number field sieve (221-digit input)
  229. Mon Jan 5 12:11:30 2015 R0: -19118715823042429491729074582041753821507871751
  230. Mon Jan 5 12:11:30 2015 R1: 181414317867238075368413196009
  231. Mon Jan 5 12:11:30 2015 A0: 620043
  232. Mon Jan 5 12:11:30 2015 A1: 0
  233. Mon Jan 5 12:11:30 2015 A2: 0
  234. Mon Jan 5 12:11:30 2015 A3: 0
  235. Mon Jan 5 12:11:30 2015 A4: 0
  236. Mon Jan 5 12:11:30 2015 A5: 1
  237. Mon Jan 5 12:11:30 2015 skew 14.40, size 1.938e-16, alpha 1.004, combined = 3.980e-13 rroots = 1
  238. Mon Jan 5 12:11:30 2015
  239. Mon Jan 5 12:11:30 2015 commencing square root phase
  240. Mon Jan 5 12:11:30 2015 reading relations for dependency 1
  241. Mon Jan 5 12:11:31 2015 read 4294202 cycles
  242. Mon Jan 5 12:11:36 2015 cycles contain 14091528 unique relations
  243. Mon Jan 5 12:13:02 2015 read 14091528 relations
  244. Mon Jan 5 12:14:10 2015 multiplying 14091528 relations
  245. Mon Jan 5 12:22:08 2015 multiply complete, coefficients have about 382.07 million bits
  246. Mon Jan 5 12:22:09 2015 initial square root is modulo 7170271
  247. Mon Jan 5 12:31:00 2015 sqrtTime: 1170
  248. Mon Jan 5 12:31:00 2015 prp95 factor: 39498752734489753640606804099420441711111818064254367734291658571564113545613506752975967738933
  249. Mon Jan 5 12:31:00 2015 prp126 factor: 433404930066465544464380820740481161819446165283251704628991926549573405714251507232025681505727209612829234418336257551027983
  250. Mon Jan 5 12:31:00 2015 elapsed time 00:19:31
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