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Apr 14th, 2014
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  1. Wed Apr 9 11:48:03 2014
  2. Wed Apr 9 11:48:03 2014
  3. Wed Apr 9 11:48:03 2014 Msieve v. 1.52 (SVN 959)
  4. Wed Apr 9 11:48:03 2014 random seeds: 11f6cb27 8d124255
  5. Wed Apr 9 11:48:03 2014 factoring 76455833265952690023392348546522643176486843979168090596009331835272429201127451166338968409175837286182680425207188294663440868088239752158123832701556150370627696003644620366265651890305161687907377785537460183644681444411 (224 digits)
  6. Wed Apr 9 11:48:04 2014 no P-1/P+1/ECM available, skipping
  7. Wed Apr 9 11:48:04 2014 commencing number field sieve (224-digit input)
  8. Wed Apr 9 11:48:04 2014 R0: -340282366920938463463374607431768211456
  9. Wed Apr 9 11:48:04 2014 R1: 1
  10. Wed Apr 9 11:48:04 2014 A0: 1
  11. Wed Apr 9 11:48:04 2014 A1: 0
  12. Wed Apr 9 11:48:04 2014 A2: 0
  13. Wed Apr 9 11:48:04 2014 A3: 0
  14. Wed Apr 9 11:48:04 2014 A4: 0
  15. Wed Apr 9 11:48:04 2014 A5: 0
  16. Wed Apr 9 11:48:04 2014 A6: 6176
  17. Wed Apr 9 11:48:04 2014 skew 1.00, size 1.370e-11, alpha -1.440, combined = 7.593e-13 rroots = 0
  18. Wed Apr 9 11:48:04 2014
  19. Wed Apr 9 11:48:04 2014 commencing relation filtering
  20. Wed Apr 9 11:48:04 2014 setting target matrix density to 112.0
  21. Wed Apr 9 11:48:04 2014 estimated available RAM is 16009.0 MB
  22. Wed Apr 9 11:48:04 2014 commencing duplicate removal, pass 1
  23. Wed Apr 9 11:54:21 2014 error -15 reading relation 30226070
  24. Wed Apr 9 11:54:21 2014 error -15 reading relation 30226108
  25. Wed Apr 9 11:54:26 2014 error -15 reading relation 30631211
  26. Wed Apr 9 11:58:52 2014 error -9 reading relation 51875261
  27. Wed Apr 9 11:59:19 2014 error -9 reading relation 54020259
  28. Wed Apr 9 11:59:40 2014 error -15 reading relation 55742523
  29. Wed Apr 9 11:59:40 2014 error -15 reading relation 55785255
  30. Wed Apr 9 11:59:40 2014 error -9 reading relation 55791142
  31. Wed Apr 9 12:00:05 2014 error -9 reading relation 57838637
  32. Wed Apr 9 12:00:05 2014 error -9 reading relation 57915912
  33. Wed Apr 9 12:00:06 2014 error -9 reading relation 57958352
  34. Wed Apr 9 12:00:29 2014 error -15 reading relation 59813935
  35. Wed Apr 9 12:00:37 2014 error -9 reading relation 60499700
  36. Wed Apr 9 12:00:42 2014 error -15 reading relation 60884332
  37. Wed Apr 9 12:00:44 2014 error -9 reading relation 61106195
  38. Wed Apr 9 12:00:59 2014 error -9 reading relation 62366324
  39. Wed Apr 9 12:02:38 2014 error -15 reading relation 70081751
  40. Wed Apr 9 12:03:14 2014 error -9 reading relation 71470732
  41. Wed Apr 9 12:03:57 2014 error -15 reading relation 74789375
  42. Wed Apr 9 12:04:24 2014 error -1 reading relation 76350136
  43. Wed Apr 9 12:07:15 2014 error -1 reading relation 85915367
  44. Wed Apr 9 12:07:21 2014 error -15 reading relation 86240213
  45. Wed Apr 9 12:08:09 2014 error -1 reading relation 88930244
  46. Wed Apr 9 12:09:40 2014 error -9 reading relation 94249720
  47. Wed Apr 9 12:10:00 2014 error -15 reading relation 95918802
  48. Wed Apr 9 12:10:01 2014 error -15 reading relation 96059051
  49. Wed Apr 9 12:10:10 2014 error -9 reading relation 96514557
  50. Wed Apr 9 12:11:03 2014 error -15 reading relation 100796736
  51. Wed Apr 9 12:11:09 2014 error -15 reading relation 101347346
  52. Wed Apr 9 12:11:10 2014 error -9 reading relation 101459857
  53. Wed Apr 9 12:11:39 2014 error -9 reading relation 103878856
  54. Wed Apr 9 12:11:46 2014 error -15 reading relation 104408426
  55. Wed Apr 9 12:11:46 2014 error -5 reading relation 104413846
  56. Wed Apr 9 12:11:53 2014 error -9 reading relation 104989196
  57. Wed Apr 9 12:12:09 2014 error -9 reading relation 106319666
  58. Wed Apr 9 12:12:42 2014 error -9 reading relation 108916403
  59. Wed Apr 9 12:13:10 2014 error -5 reading relation 111137512
  60. Wed Apr 9 12:13:11 2014 error -9 reading relation 111180096
  61. Wed Apr 9 12:13:12 2014 error -9 reading relation 111252392
  62. Wed Apr 9 12:13:12 2014 error -15 reading relation 111272485
  63. Wed Apr 9 12:13:12 2014 error -9 reading relation 111313274
  64. Wed Apr 9 12:13:13 2014 error -5 reading relation 111336753
  65. Wed Apr 9 12:13:34 2014 error -15 reading relation 113035678
  66. Wed Apr 9 12:13:49 2014 error -9 reading relation 114210942
  67. Wed Apr 9 12:13:49 2014 error -9 reading relation 114218459
  68. Wed Apr 9 12:13:49 2014 error -15 reading relation 114218845
  69. Wed Apr 9 12:14:56 2014 error -15 reading relation 119341869
  70. Wed Apr 9 12:15:07 2014 error -9 reading relation 120184015
  71. Wed Apr 9 12:15:07 2014 error -15 reading relation 120187641
  72. Wed Apr 9 12:15:10 2014 error -15 reading relation 120453835
  73. Wed Apr 9 12:15:28 2014 error -5 reading relation 121947630
  74. Wed Apr 9 12:15:31 2014 error -15 reading relation 122200412
  75. Wed Apr 9 12:15:32 2014 error -9 reading relation 122261117
  76. Wed Apr 9 12:15:36 2014 error -15 reading relation 122593568
  77. Wed Apr 9 12:15:43 2014 error -9 reading relation 123187087
  78. Wed Apr 9 12:15:44 2014 error -15 reading relation 123230408
  79. Wed Apr 9 12:15:44 2014 error -15 reading relation 123252359
  80. Wed Apr 9 12:15:58 2014 error -1 reading relation 124364734
  81. Wed Apr 9 12:16:22 2014 skipped 172 relations with b > 2^32
  82. Wed Apr 9 12:16:22 2014 found 23902763 hash collisions in 126305889 relations
  83. Wed Apr 9 12:16:41 2014 added 1218172 free relations
  84. Wed Apr 9 12:16:41 2014 commencing duplicate removal, pass 2
  85. Wed Apr 9 12:24:55 2014 found 22685497 duplicates and 104838564 unique relations
  86. Wed Apr 9 12:24:55 2014 memory use: 660.8 MB
  87. Wed Apr 9 12:24:55 2014 reading ideals above 99942400
  88. Wed Apr 9 12:24:55 2014 commencing singleton removal, initial pass
  89. Wed Apr 9 12:49:38 2014 memory use: 1506.0 MB
  90. Wed Apr 9 12:49:39 2014 reading all ideals from disk
  91. Wed Apr 9 12:50:00 2014 memory use: 1720.4 MB
  92. Wed Apr 9 12:50:08 2014 commencing in-memory singleton removal
  93. Wed Apr 9 12:50:16 2014 begin with 104838564 relations and 81550092 unique ideals
  94. Wed Apr 9 12:51:27 2014 reduce to 72462557 relations and 46218013 ideals in 12 passes
  95. Wed Apr 9 12:51:27 2014 max relations containing the same ideal: 36
  96. Wed Apr 9 12:51:33 2014 reading ideals above 720000
  97. Wed Apr 9 12:51:34 2014 commencing singleton removal, initial pass
  98. Wed Apr 9 13:14:35 2014 memory use: 1506.0 MB
  99. Wed Apr 9 13:14:35 2014 reading all ideals from disk
  100. Wed Apr 9 13:15:11 2014 memory use: 2745.9 MB
  101. Wed Apr 9 13:15:26 2014 keeping 57360658 ideals with weight <= 200, target excess is 371247
  102. Wed Apr 9 13:15:39 2014 commencing in-memory singleton removal
  103. Wed Apr 9 13:15:51 2014 begin with 72462560 relations and 57360658 unique ideals
  104. Wed Apr 9 13:17:16 2014 reduce to 72458201 relations and 57356293 ideals in 7 passes
  105. Wed Apr 9 13:17:16 2014 max relations containing the same ideal: 200
  106. Wed Apr 9 13:18:11 2014 removing 8460687 relations and 6460687 ideals in 2000000 cliques
  107. Wed Apr 9 13:18:14 2014 commencing in-memory singleton removal
  108. Wed Apr 9 13:18:25 2014 begin with 63997514 relations and 57356293 unique ideals
  109. Wed Apr 9 13:19:52 2014 reduce to 63215182 relations and 50086944 ideals in 8 passes
  110. Wed Apr 9 13:19:52 2014 max relations containing the same ideal: 194
  111. Wed Apr 9 13:20:41 2014 removing 6768592 relations and 4768592 ideals in 2000000 cliques
  112. Wed Apr 9 13:20:44 2014 commencing in-memory singleton removal
  113. Wed Apr 9 13:20:53 2014 begin with 56446590 relations and 50086944 unique ideals
  114. Wed Apr 9 13:21:56 2014 reduce to 55892741 relations and 44747008 ideals in 7 passes
  115. Wed Apr 9 13:21:56 2014 max relations containing the same ideal: 179
  116. Wed Apr 9 13:22:39 2014 removing 6290504 relations and 4290504 ideals in 2000000 cliques
  117. Wed Apr 9 13:22:42 2014 commencing in-memory singleton removal
  118. Wed Apr 9 13:22:50 2014 begin with 49602237 relations and 44747008 unique ideals
  119. Wed Apr 9 13:23:43 2014 reduce to 49093444 relations and 39931064 ideals in 7 passes
  120. Wed Apr 9 13:23:43 2014 max relations containing the same ideal: 168
  121. Wed Apr 9 13:24:19 2014 removing 6053083 relations and 4053083 ideals in 2000000 cliques
  122. Wed Apr 9 13:24:22 2014 commencing in-memory singleton removal
  123. Wed Apr 9 13:24:28 2014 begin with 43040361 relations and 39931064 unique ideals
  124. Wed Apr 9 13:25:25 2014 reduce to 42533952 relations and 35353472 ideals in 9 passes
  125. Wed Apr 9 13:25:25 2014 max relations containing the same ideal: 150
  126. Wed Apr 9 13:25:56 2014 removing 5907352 relations and 3907352 ideals in 2000000 cliques
  127. Wed Apr 9 13:25:59 2014 commencing in-memory singleton removal
  128. Wed Apr 9 13:26:04 2014 begin with 36626600 relations and 35353472 unique ideals
  129. Wed Apr 9 13:26:41 2014 reduce to 36098016 relations and 30896121 ideals in 7 passes
  130. Wed Apr 9 13:26:41 2014 max relations containing the same ideal: 133
  131. Wed Apr 9 13:27:07 2014 removing 5809781 relations and 3809781 ideals in 2000000 cliques
  132. Wed Apr 9 13:27:10 2014 commencing in-memory singleton removal
  133. Wed Apr 9 13:27:14 2014 begin with 30288235 relations and 30896121 unique ideals
  134. Wed Apr 9 13:27:43 2014 reduce to 29712064 relations and 26483085 ideals in 7 passes
  135. Wed Apr 9 13:27:43 2014 max relations containing the same ideal: 118
  136. Wed Apr 9 13:28:06 2014 removing 5731146 relations and 3731146 ideals in 2000000 cliques
  137. Wed Apr 9 13:28:08 2014 commencing in-memory singleton removal
  138. Wed Apr 9 13:28:11 2014 begin with 23980918 relations and 26483085 unique ideals
  139. Wed Apr 9 13:28:36 2014 reduce to 23308380 relations and 22040760 ideals in 8 passes
  140. Wed Apr 9 13:28:36 2014 max relations containing the same ideal: 101
  141. Wed Apr 9 13:28:54 2014 removing 2802142 relations and 1965169 ideals in 836973 cliques
  142. Wed Apr 9 13:28:55 2014 commencing in-memory singleton removal
  143. Wed Apr 9 13:28:58 2014 begin with 20506238 relations and 22040760 unique ideals
  144. Wed Apr 9 13:29:16 2014 reduce to 20263474 relations and 19824960 ideals in 7 passes
  145. Wed Apr 9 13:29:16 2014 max relations containing the same ideal: 90
  146. Wed Apr 9 13:29:36 2014 relations with 0 large ideals: 14052
  147. Wed Apr 9 13:29:36 2014 relations with 1 large ideals: 4040
  148. Wed Apr 9 13:29:36 2014 relations with 2 large ideals: 52657
  149. Wed Apr 9 13:29:36 2014 relations with 3 large ideals: 384618
  150. Wed Apr 9 13:29:36 2014 relations with 4 large ideals: 1522972
  151. Wed Apr 9 13:29:36 2014 relations with 5 large ideals: 3578544
  152. Wed Apr 9 13:29:36 2014 relations with 6 large ideals: 5275520
  153. Wed Apr 9 13:29:36 2014 relations with 7+ large ideals: 9431071
  154. Wed Apr 9 13:29:36 2014 commencing 2-way merge
  155. Wed Apr 9 13:29:55 2014 reduce to 13889755 relation sets and 13451241 unique ideals
  156. Wed Apr 9 13:29:55 2014 commencing full merge
  157. Wed Apr 9 13:38:55 2014 memory use: 1799.1 MB
  158. Wed Apr 9 13:38:57 2014 found 6408382 cycles, need 6373441
  159. Wed Apr 9 13:38:59 2014 weight of 6373441 cycles is about 714448779 (112.10/cycle)
  160. Wed Apr 9 13:38:59 2014 distribution of cycle lengths:
  161. Wed Apr 9 13:38:59 2014 1 relations: 222286
  162. Wed Apr 9 13:38:59 2014 2 relations: 383742
  163. Wed Apr 9 13:38:59 2014 3 relations: 476244
  164. Wed Apr 9 13:38:59 2014 4 relations: 504946
  165. Wed Apr 9 13:38:59 2014 5 relations: 527686
  166. Wed Apr 9 13:38:59 2014 6 relations: 522593
  167. Wed Apr 9 13:38:59 2014 7 relations: 509444
  168. Wed Apr 9 13:38:59 2014 8 relations: 477311
  169. Wed Apr 9 13:38:59 2014 9 relations: 441745
  170. Wed Apr 9 13:38:59 2014 10+ relations: 2307444
  171. Wed Apr 9 13:38:59 2014 heaviest cycle: 28 relations
  172. Wed Apr 9 13:39:02 2014 commencing cycle optimization
  173. Wed Apr 9 13:39:21 2014 start with 53568530 relations
  174. Wed Apr 9 13:42:24 2014 pruned 2591022 relations
  175. Wed Apr 9 13:42:24 2014 memory use: 1399.4 MB
  176. Wed Apr 9 13:42:24 2014 distribution of cycle lengths:
  177. Wed Apr 9 13:42:24 2014 1 relations: 222286
  178. Wed Apr 9 13:42:24 2014 2 relations: 393840
  179. Wed Apr 9 13:42:24 2014 3 relations: 498129
  180. Wed Apr 9 13:42:24 2014 4 relations: 528846
  181. Wed Apr 9 13:42:24 2014 5 relations: 556810
  182. Wed Apr 9 13:42:24 2014 6 relations: 550890
  183. Wed Apr 9 13:42:24 2014 7 relations: 538099
  184. Wed Apr 9 13:42:24 2014 8 relations: 502255
  185. Wed Apr 9 13:42:24 2014 9 relations: 460466
  186. Wed Apr 9 13:42:24 2014 10+ relations: 2121820
  187. Wed Apr 9 13:42:24 2014 heaviest cycle: 28 relations
  188. Wed Apr 9 13:42:38 2014 RelProcTime: 6874
  189. Wed Apr 9 13:42:38 2014 elapsed time 01:54:35
  190. Sat Apr 12 06:54:19 2014
  191. Sat Apr 12 06:54:19 2014
  192. Sat Apr 12 06:54:19 2014 Msieve v. 1.52 (SVN 959)
  193. Sat Apr 12 06:54:19 2014 random seeds: 07733fcb e39738a8
  194. Sat Apr 12 06:54:19 2014 factoring 76455833265952690023392348546522643176486843979168090596009331835272429201127451166338968409175837286182680425207188294663440868088239752158123832701556150370627696003644620366265651890305161687907377785537460183644681444411 (224 digits)
  195. Sat Apr 12 06:54:21 2014 no P-1/P+1/ECM available, skipping
  196. Sat Apr 12 06:54:21 2014 commencing number field sieve (224-digit input)
  197. Sat Apr 12 06:54:21 2014 R0: -340282366920938463463374607431768211456
  198. Sat Apr 12 06:54:21 2014 R1: 1
  199. Sat Apr 12 06:54:21 2014 A0: 1
  200. Sat Apr 12 06:54:21 2014 A1: 0
  201. Sat Apr 12 06:54:21 2014 A2: 0
  202. Sat Apr 12 06:54:21 2014 A3: 0
  203. Sat Apr 12 06:54:21 2014 A4: 0
  204. Sat Apr 12 06:54:21 2014 A5: 0
  205. Sat Apr 12 06:54:21 2014 A6: 6176
  206. Sat Apr 12 06:54:21 2014 skew 1.00, size 1.370e-11, alpha -1.440, combined = 7.593e-13 rroots = 0
  207. Sat Apr 12 06:54:21 2014
  208. Sat Apr 12 06:54:21 2014 commencing linear algebra
  209. Sat Apr 12 06:54:24 2014 read 6373441 cycles
  210. Sat Apr 12 06:54:35 2014 cycles contain 20010900 unique relations
  211. Sat Apr 12 07:03:06 2014 read 20010900 relations
  212. Sat Apr 12 07:03:40 2014 using 20 quadratic characters above 1073740068
  213. Sat Apr 12 07:04:55 2014 building initial matrix
  214. Sat Apr 12 07:08:56 2014 memory use: 2718.6 MB
  215. Sat Apr 12 07:09:03 2014 read 6373441 cycles
  216. Sat Apr 12 07:09:04 2014 matrix is 6373264 x 6373441 (2802.7 MB) with weight 831494233 (130.46/col)
  217. Sat Apr 12 07:09:04 2014 sparse part has weight 664591932 (104.28/col)
  218. Sat Apr 12 07:10:13 2014 filtering completed in 2 passes
  219. Sat Apr 12 07:10:14 2014 matrix is 6373118 x 6373295 (2802.6 MB) with weight 831487908 (130.46/col)
  220. Sat Apr 12 07:10:14 2014 sparse part has weight 664589344 (104.28/col)
  221. Sat Apr 12 07:10:55 2014 matrix starts at (0, 0)
  222. Sat Apr 12 07:10:56 2014 matrix is 6373118 x 6373295 (2802.6 MB) with weight 831487908 (130.46/col)
  223. Sat Apr 12 07:10:56 2014 sparse part has weight 664589344 (104.28/col)
  224. Sat Apr 12 07:10:56 2014 saving the first 48 matrix rows for later
  225. Sat Apr 12 07:10:57 2014 matrix includes 64 packed rows
  226. Sat Apr 12 07:10:57 2014 matrix is 6373070 x 6373295 (2701.3 MB) with weight 703237166 (110.34/col)
  227. Sat Apr 12 07:10:57 2014 sparse part has weight 644407965 (101.11/col)
  228. Sat Apr 12 07:10:58 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  229. Sat Apr 12 07:11:22 2014 commencing Lanczos iteration (3 threads)
  230. Sat Apr 12 07:11:22 2014 memory use: 2259.4 MB
  231. Sat Apr 12 07:11:53 2014 linear algebra at 0.0%, ETA 35h 0m
  232. Sat Apr 12 07:12:02 2014 checkpointing every 190000 dimensions
  233. Sun Apr 13 17:46:05 2014 lanczos halted after 100788 iterations (dim = 6373067)
  234. Sun Apr 13 17:46:12 2014 recovered 36 nontrivial dependencies
  235. Sun Apr 13 17:46:12 2014 BLanczosTime: 125511
  236. Sun Apr 13 17:46:12 2014
  237. Sun Apr 13 17:46:12 2014 commencing square root phase
  238. Sun Apr 13 17:46:12 2014 reading relations for dependency 1
  239. Sun Apr 13 17:46:14 2014 read 3188005 cycles
  240. Sun Apr 13 17:46:19 2014 cycles contain 10008752 unique relations
  241. Sun Apr 13 17:57:48 2014 read 10008752 relations
  242. Sun Apr 13 17:58:30 2014 multiplying 10008752 relations
  243. Sun Apr 13 18:08:33 2014 multiply complete, coefficients have about 362.13 million bits
  244. Sun Apr 13 18:08:34 2014 initial square root is modulo 3147169
  245. Sun Apr 13 18:19:43 2014 GCD is N, no factor found
  246. Sun Apr 13 18:19:43 2014 reading relations for dependency 2
  247. Sun Apr 13 18:19:46 2014 read 3186214 cycles
  248. Sun Apr 13 18:19:51 2014 cycles contain 10004200 unique relations
  249. Sun Apr 13 18:31:12 2014 read 10004200 relations
  250. Sun Apr 13 18:31:54 2014 multiplying 10004200 relations
  251. Sun Apr 13 18:42:01 2014 multiply complete, coefficients have about 361.97 million bits
  252. Sun Apr 13 18:42:02 2014 initial square root is modulo 3125113
  253. Sun Apr 13 18:53:13 2014 GCD is 1, no factor found
  254. Sun Apr 13 18:53:13 2014 reading relations for dependency 3
  255. Sun Apr 13 18:53:15 2014 read 3186189 cycles
  256. Sun Apr 13 18:53:21 2014 cycles contain 10002218 unique relations
  257. Sun Apr 13 19:04:41 2014 read 10002218 relations
  258. Sun Apr 13 19:05:23 2014 multiplying 10002218 relations
  259. Sun Apr 13 19:15:30 2014 multiply complete, coefficients have about 361.89 million bits
  260. Sun Apr 13 19:15:32 2014 initial square root is modulo 3115561
  261. Sun Apr 13 19:26:43 2014 found factor: 2056934799323357451205600740615258468278869434154870484795100719265857856308689181
  262. Sun Apr 13 19:26:43 2014 reading relations for dependency 4
  263. Sun Apr 13 19:26:45 2014 read 3186857 cycles
  264. Sun Apr 13 19:26:51 2014 cycles contain 10005100 unique relations
  265. Sun Apr 13 19:38:13 2014 read 10005100 relations
  266. Sun Apr 13 19:38:55 2014 multiplying 10005100 relations
  267. Sun Apr 13 19:49:01 2014 multiply complete, coefficients have about 361.99 million bits
  268. Sun Apr 13 19:49:02 2014 initial square root is modulo 3128623
  269. Sun Apr 13 20:00:14 2014 sqrtTime: 8042
  270. Sun Apr 13 20:00:14 2014 prp72 factor: 114998887728122158581666759874604958148146522923058437077981792745831101
  271. Sun Apr 13 20:00:14 2014 prp72 factor: 323218686002760173086386927486032634482517523055674002726246649893801731
  272. Sun Apr 13 20:00:14 2014 prp82 factor: 2056934799323357451205600740615258468278869434154870484795100719265857856308689181
  273. Sun Apr 13 20:00:14 2014 elapsed time 37:05:55
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