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GW_12_215

Dec 6th, 2015
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  1. Tue Apr 01 23:50:20 2014
  2. Tue Apr 01 23:50:20 2014
  3. Tue Apr 01 23:50:20 2014 Msieve v. 1.52 (SVN unknown)
  4. Tue Apr 01 23:50:20 2014 random seeds: 72d95f20 70358460
  5. Tue Apr 01 23:50:20 2014 factoring 158198444282652967087609509177725010421222745368958150639582945277431683750136709805592342239609552404903312434457804238623979817232027921641794471791371580960384916231935417914925331295141488184730968324968005367 (213 digits)
  6. Tue Apr 01 23:50:22 2014 no P-1/P+1/ECM available, skipping
  7. Tue Apr 01 23:50:22 2014 commencing number field sieve (213-digit input)
  8. Tue Apr 01 23:50:22 2014 R0: -25397652694505813866070015990659936347412758528
  9. Tue Apr 01 23:50:22 2014 R1: 1
  10. Tue Apr 01 23:50:22 2014 A0: -1
  11. Tue Apr 01 23:50:22 2014 A1: 0
  12. Tue Apr 01 23:50:22 2014 A2: 0
  13. Tue Apr 01 23:50:22 2014 A3: 0
  14. Tue Apr 01 23:50:22 2014 A4: 0
  15. Tue Apr 01 23:50:22 2014 A5: 215
  16. Tue Apr 01 23:50:22 2014 skew 1.00, size 3.794e-016, alpha 0.818, combined = 5.301e-013 rroots = 1
  17. Tue Apr 01 23:50:22 2014
  18. Tue Apr 01 23:50:22 2014 commencing relation filtering
  19. Tue Apr 01 23:50:22 2014 setting target matrix density to 112.0
  20. Tue Apr 01 23:50:22 2014 estimated available RAM is 16335.3 MB
  21. Tue Apr 01 23:50:22 2014 commencing duplicate removal, pass 1
  22. Tue Apr 01 23:52:11 2014 error -9 reading relation 11535170
  23. Tue Apr 01 23:53:17 2014 error -9 reading relation 18879281
  24. Tue Apr 01 23:53:46 2014 error -9 reading relation 22015792
  25. Tue Apr 01 23:54:18 2014 error -15 reading relation 25379373
  26. Tue Apr 01 23:54:56 2014 error -1 reading relation 29365383
  27. Tue Apr 01 23:54:58 2014 error -15 reading relation 29597817
  28. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458157
  29. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458233
  30. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458309
  31. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458385
  32. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458461
  33. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458537
  34. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458613
  35. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458689
  36. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458765
  37. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458841
  38. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458917
  39. Tue Apr 01 23:55:05 2014 error -15 reading relation 30458993
  40. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459069
  41. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459145
  42. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459221
  43. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459297
  44. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459373
  45. Tue Apr 01 23:55:05 2014 error -15 reading relation 30459449
  46. Tue Apr 01 23:55:05 2014 error -11 reading relation 30459469
  47. Tue Apr 01 23:55:07 2014 error -9 reading relation 30692947
  48. Tue Apr 01 23:55:26 2014 error -9 reading relation 32757289
  49. Tue Apr 01 23:55:28 2014 error -9 reading relation 32949761
  50. Tue Apr 01 23:56:23 2014 error -9 reading relation 39312578
  51. Tue Apr 01 23:57:45 2014 error -9 reading relation 48443836
  52. Tue Apr 01 23:58:25 2014 error -15 reading relation 53032540
  53. Tue Apr 01 23:59:18 2014 error -1 reading relation 58953221
  54. Tue Apr 01 23:59:18 2014 error -1 reading relation 58957262
  55. Tue Apr 01 23:59:20 2014 error -5 reading relation 59180590
  56. Tue Apr 01 23:59:34 2014 error -15 reading relation 60677525
  57. Tue Apr 01 23:59:34 2014 error -9 reading relation 60684331
  58. Tue Apr 01 23:59:57 2014 error -15 reading relation 63274313
  59. Wed Apr 02 00:00:19 2014 error -5 reading relation 65917202
  60. Wed Apr 02 00:00:31 2014 error -15 reading relation 67164827
  61. Wed Apr 02 00:01:08 2014 error -9 reading relation 70993386
  62. Wed Apr 02 00:02:22 2014 error -9 reading relation 79101981
  63. Wed Apr 02 00:03:36 2014 error -9 reading relation 87220819
  64. Wed Apr 02 00:03:36 2014 error -9 reading relation 87223633
  65. Wed Apr 02 00:04:48 2014 error -15 reading relation 94948831
  66. Wed Apr 02 00:04:48 2014 error -9 reading relation 94959756
  67. Wed Apr 02 00:04:53 2014 error -15 reading relation 95421407
  68. Wed Apr 02 00:05:01 2014 error -9 reading relation 96287224
  69. Wed Apr 02 00:05:28 2014 error -9 reading relation 99117307
  70. Wed Apr 02 00:05:30 2014 error -15 reading relation 99246499
  71. Wed Apr 02 00:05:30 2014 error -9 reading relation 99322683
  72. Wed Apr 02 00:05:32 2014 error -5 reading relation 99499132
  73. Wed Apr 02 00:05:57 2014 error -9 reading relation 102181333
  74. Wed Apr 02 00:05:57 2014 error -9 reading relation 102181519
  75. Wed Apr 02 00:05:58 2014 error -15 reading relation 102314246
  76. Wed Apr 02 00:06:06 2014 error -9 reading relation 103131071
  77. Wed Apr 02 00:06:07 2014 error -15 reading relation 103219747
  78. Wed Apr 02 00:06:15 2014 error -5 reading relation 104019392
  79. Wed Apr 02 00:06:20 2014 error -15 reading relation 104542298
  80. Wed Apr 02 00:06:25 2014 error -9 reading relation 105165255
  81. Wed Apr 02 00:06:26 2014 error -9 reading relation 105257784
  82. Wed Apr 02 00:06:28 2014 error -9 reading relation 105428082
  83. Wed Apr 02 00:06:28 2014 error -9 reading relation 105500134
  84. Wed Apr 02 00:06:31 2014 error -9 reading relation 105792135
  85. Wed Apr 02 00:06:32 2014 error -15 reading relation 105853829
  86. Wed Apr 02 00:06:32 2014 error -9 reading relation 105881562
  87. Wed Apr 02 00:06:45 2014 error -9 reading relation 107257196
  88. Wed Apr 02 00:07:18 2014 error -15 reading relation 110713646
  89. Wed Apr 02 00:07:19 2014 error -9 reading relation 110808535
  90. Wed Apr 02 00:08:00 2014 error -15 reading relation 115212251
  91. Wed Apr 02 00:08:00 2014 error -9 reading relation 115212942
  92. Wed Apr 02 00:08:13 2014 error -5 reading relation 116549312
  93. Wed Apr 02 00:08:14 2014 error -15 reading relation 116757402
  94. Wed Apr 02 00:08:19 2014 error -9 reading relation 117249658
  95. Wed Apr 02 00:08:19 2014 error -9 reading relation 117263710
  96. Wed Apr 02 00:08:20 2014 error -9 reading relation 117363215
  97. Wed Apr 02 00:08:23 2014 error -1 reading relation 117664111
  98. Wed Apr 02 00:08:23 2014 error -15 reading relation 117668619
  99. Wed Apr 02 00:08:37 2014 error -1 reading relation 119286723
  100. Wed Apr 02 00:08:40 2014 error -1 reading relation 119512787
  101. Wed Apr 02 00:08:41 2014 error -9 reading relation 119616437
  102. Wed Apr 02 00:08:41 2014 error -15 reading relation 119651215
  103. Wed Apr 02 00:08:45 2014 error -5 reading relation 120074590
  104. Wed Apr 02 00:08:52 2014 skipped 256 relations with b > 2^32
  105. Wed Apr 02 00:08:52 2014 found 24285734 hash collisions in 121388490 relations
  106. Wed Apr 02 00:09:43 2014 added 732763 free relations
  107. Wed Apr 02 00:09:43 2014 commencing duplicate removal, pass 2
  108. Wed Apr 02 00:10:39 2014 found 24066460 duplicates and 98054793 unique relations
  109. Wed Apr 02 00:10:39 2014 memory use: 660.8 MB
  110. Wed Apr 02 00:10:39 2014 reading ideals above 112132096
  111. Wed Apr 02 00:10:39 2014 commencing singleton removal, initial pass
  112. Wed Apr 02 00:26:35 2014 memory use: 1506.0 MB
  113. Wed Apr 02 00:26:35 2014 reading all ideals from disk
  114. Wed Apr 02 00:26:36 2014 memory use: 1612.4 MB
  115. Wed Apr 02 00:26:39 2014 commencing in-memory singleton removal
  116. Wed Apr 02 00:26:42 2014 begin with 98054793 relations and 79079762 unique ideals
  117. Wed Apr 02 00:27:14 2014 reduce to 63770352 relations and 41347452 ideals in 14 passes
  118. Wed Apr 02 00:27:14 2014 max relations containing the same ideal: 42
  119. Wed Apr 02 00:27:18 2014 reading ideals above 720000
  120. Wed Apr 02 00:27:19 2014 commencing singleton removal, initial pass
  121. Wed Apr 02 00:39:45 2014 memory use: 1506.0 MB
  122. Wed Apr 02 00:39:45 2014 reading all ideals from disk
  123. Wed Apr 02 00:40:10 2014 memory use: 2447.0 MB
  124. Wed Apr 02 00:40:15 2014 keeping 53843437 ideals with weight <= 200, target excess is 335696
  125. Wed Apr 02 00:40:22 2014 commencing in-memory singleton removal
  126. Wed Apr 02 00:40:27 2014 begin with 63770352 relations and 53843437 unique ideals
  127. Wed Apr 02 00:41:20 2014 reduce to 63710272 relations and 53783331 ideals in 10 passes
  128. Wed Apr 02 00:41:20 2014 max relations containing the same ideal: 200
  129. Wed Apr 02 00:41:47 2014 removing 5614069 relations and 4614069 ideals in 1000000 cliques
  130. Wed Apr 02 00:41:48 2014 commencing in-memory singleton removal
  131. Wed Apr 02 00:41:53 2014 begin with 58096203 relations and 53783331 unique ideals
  132. Wed Apr 02 00:42:31 2014 reduce to 57729606 relations and 48795425 ideals in 8 passes
  133. Wed Apr 02 00:42:31 2014 max relations containing the same ideal: 194
  134. Wed Apr 02 00:42:55 2014 removing 4300173 relations and 3300173 ideals in 1000000 cliques
  135. Wed Apr 02 00:42:57 2014 commencing in-memory singleton removal
  136. Wed Apr 02 00:43:01 2014 begin with 53429433 relations and 48795425 unique ideals
  137. Wed Apr 02 00:43:36 2014 reduce to 53184538 relations and 45246148 ideals in 8 passes
  138. Wed Apr 02 00:43:36 2014 max relations containing the same ideal: 187
  139. Wed Apr 02 00:43:58 2014 removing 3904945 relations and 2904945 ideals in 1000000 cliques
  140. Wed Apr 02 00:43:59 2014 commencing in-memory singleton removal
  141. Wed Apr 02 00:44:03 2014 begin with 49279593 relations and 45246148 unique ideals
  142. Wed Apr 02 00:44:32 2014 reduce to 49061457 relations and 42119325 ideals in 7 passes
  143. Wed Apr 02 00:44:32 2014 max relations containing the same ideal: 177
  144. Wed Apr 02 00:44:52 2014 removing 3700318 relations and 2700318 ideals in 1000000 cliques
  145. Wed Apr 02 00:44:54 2014 commencing in-memory singleton removal
  146. Wed Apr 02 00:44:57 2014 begin with 45361139 relations and 42119325 unique ideals
  147. Wed Apr 02 00:45:23 2014 reduce to 45152594 relations and 39206641 ideals in 7 passes
  148. Wed Apr 02 00:45:23 2014 max relations containing the same ideal: 167
  149. Wed Apr 02 00:45:42 2014 removing 3576173 relations and 2576173 ideals in 1000000 cliques
  150. Wed Apr 02 00:45:43 2014 commencing in-memory singleton removal
  151. Wed Apr 02 00:45:46 2014 begin with 41576421 relations and 39206641 unique ideals
  152. Wed Apr 02 00:46:10 2014 reduce to 41371971 relations and 36421926 ideals in 7 passes
  153. Wed Apr 02 00:46:10 2014 max relations containing the same ideal: 159
  154. Wed Apr 02 00:46:27 2014 removing 3494887 relations and 2494887 ideals in 1000000 cliques
  155. Wed Apr 02 00:46:28 2014 commencing in-memory singleton removal
  156. Wed Apr 02 00:46:31 2014 begin with 37877084 relations and 36421926 unique ideals
  157. Wed Apr 02 00:46:53 2014 reduce to 37668532 relations and 33714086 ideals in 7 passes
  158. Wed Apr 02 00:46:53 2014 max relations containing the same ideal: 149
  159. Wed Apr 02 00:47:09 2014 removing 3437961 relations and 2437961 ideals in 1000000 cliques
  160. Wed Apr 02 00:47:10 2014 commencing in-memory singleton removal
  161. Wed Apr 02 00:47:12 2014 begin with 34230571 relations and 33714086 unique ideals
  162. Wed Apr 02 00:47:31 2014 reduce to 34012565 relations and 31053284 ideals in 7 passes
  163. Wed Apr 02 00:47:31 2014 max relations containing the same ideal: 142
  164. Wed Apr 02 00:47:46 2014 removing 3398820 relations and 2398820 ideals in 1000000 cliques
  165. Wed Apr 02 00:47:47 2014 commencing in-memory singleton removal
  166. Wed Apr 02 00:47:49 2014 begin with 30613745 relations and 31053284 unique ideals
  167. Wed Apr 02 00:48:03 2014 reduce to 30380773 relations and 28415805 ideals in 6 passes
  168. Wed Apr 02 00:48:03 2014 max relations containing the same ideal: 131
  169. Wed Apr 02 00:48:17 2014 removing 3380830 relations and 2380830 ideals in 1000000 cliques
  170. Wed Apr 02 00:48:17 2014 commencing in-memory singleton removal
  171. Wed Apr 02 00:48:19 2014 begin with 26999943 relations and 28415805 unique ideals
  172. Wed Apr 02 00:48:36 2014 reduce to 26740004 relations and 25767911 ideals in 8 passes
  173. Wed Apr 02 00:48:36 2014 max relations containing the same ideal: 120
  174. Wed Apr 02 00:48:48 2014 removing 2182530 relations and 1599845 ideals in 582685 cliques
  175. Wed Apr 02 00:48:48 2014 commencing in-memory singleton removal
  176. Wed Apr 02 00:48:50 2014 begin with 24557474 relations and 25767911 unique ideals
  177. Wed Apr 02 00:49:03 2014 reduce to 24436285 relations and 24044594 ideals in 7 passes
  178. Wed Apr 02 00:49:03 2014 max relations containing the same ideal: 109
  179. Wed Apr 02 00:49:17 2014 relations with 0 large ideals: 6752
  180. Wed Apr 02 00:49:17 2014 relations with 1 large ideals: 1844
  181. Wed Apr 02 00:49:17 2014 relations with 2 large ideals: 31757
  182. Wed Apr 02 00:49:17 2014 relations with 3 large ideals: 267706
  183. Wed Apr 02 00:49:17 2014 relations with 4 large ideals: 1233592
  184. Wed Apr 02 00:49:17 2014 relations with 5 large ideals: 3400915
  185. Wed Apr 02 00:49:17 2014 relations with 6 large ideals: 6118420
  186. Wed Apr 02 00:49:17 2014 relations with 7+ large ideals: 13375299
  187. Wed Apr 02 00:49:17 2014 commencing 2-way merge
  188. Wed Apr 02 00:49:32 2014 reduce to 16494205 relation sets and 16102514 unique ideals
  189. Wed Apr 02 00:49:32 2014 commencing full merge
  190. Wed Apr 02 00:55:35 2014 memory use: 2096.2 MB
  191. Wed Apr 02 00:55:36 2014 found 7601035 cycles, need 7570714
  192. Wed Apr 02 00:55:37 2014 weight of 7570714 cycles is about 848242621 (112.04/cycle)
  193. Wed Apr 02 00:55:37 2014 distribution of cycle lengths:
  194. Wed Apr 02 00:55:37 2014 1 relations: 308493
  195. Wed Apr 02 00:55:37 2014 2 relations: 493365
  196. Wed Apr 02 00:55:37 2014 3 relations: 589334
  197. Wed Apr 02 00:55:37 2014 4 relations: 609743
  198. Wed Apr 02 00:55:37 2014 5 relations: 623036
  199. Wed Apr 02 00:55:37 2014 6 relations: 608887
  200. Wed Apr 02 00:55:37 2014 7 relations: 587493
  201. Wed Apr 02 00:55:37 2014 8 relations: 551273
  202. Wed Apr 02 00:55:37 2014 9 relations: 510824
  203. Wed Apr 02 00:55:37 2014 10+ relations: 2688266
  204. Wed Apr 02 00:55:37 2014 heaviest cycle: 28 relations
  205. Wed Apr 02 00:55:38 2014 commencing cycle optimization
  206. Wed Apr 02 00:55:50 2014 start with 62560219 relations
  207. Wed Apr 02 00:58:23 2014 pruned 2897984 relations
  208. Wed Apr 02 00:58:23 2014 memory use: 1666.4 MB
  209. Wed Apr 02 00:58:23 2014 distribution of cycle lengths:
  210. Wed Apr 02 00:58:23 2014 1 relations: 308493
  211. Wed Apr 02 00:58:23 2014 2 relations: 507318
  212. Wed Apr 02 00:58:23 2014 3 relations: 617073
  213. Wed Apr 02 00:58:23 2014 4 relations: 637523
  214. Wed Apr 02 00:58:23 2014 5 relations: 655675
  215. Wed Apr 02 00:58:23 2014 6 relations: 639022
  216. Wed Apr 02 00:58:23 2014 7 relations: 617334
  217. Wed Apr 02 00:58:23 2014 8 relations: 576064
  218. Wed Apr 02 00:58:23 2014 9 relations: 531423
  219. Wed Apr 02 00:58:23 2014 10+ relations: 2480789
  220. Wed Apr 02 00:58:23 2014 heaviest cycle: 28 relations
  221. Wed Apr 02 00:58:33 2014 RelProcTime: 4091
  222. Wed Apr 02 00:58:34 2014
  223. Wed Apr 02 00:58:34 2014 commencing linear algebra
  224. Wed Apr 02 00:58:35 2014 read 7570714 cycles
  225. Wed Apr 02 00:58:50 2014 cycles contain 24221838 unique relations
  226. Wed Apr 02 01:03:03 2014 read 24221838 relations
  227. Wed Apr 02 01:03:41 2014 using 20 quadratic characters above 1073740404
  228. Wed Apr 02 01:05:26 2014 building initial matrix
  229. Wed Apr 02 01:10:07 2014 memory use: 3196.1 MB
  230. Wed Apr 02 01:10:32 2014 read 7570714 cycles
  231. Wed Apr 02 01:10:34 2014 matrix is 7570537 x 7570714 (3338.6 MB) with weight 970279319 (128.16/col)
  232. Wed Apr 02 01:10:34 2014 sparse part has weight 791913227 (104.60/col)
  233. Wed Apr 02 01:12:19 2014 filtering completed in 2 passes
  234. Wed Apr 02 01:12:22 2014 matrix is 7570414 x 7570590 (3338.6 MB) with weight 970274789 (128.16/col)
  235. Wed Apr 02 01:12:22 2014 sparse part has weight 791911510 (104.60/col)
  236. Wed Apr 02 01:12:54 2014 matrix starts at (0, 0)
  237. Wed Apr 02 01:12:56 2014 matrix is 7570414 x 7570590 (3338.6 MB) with weight 970274789 (128.16/col)
  238. Wed Apr 02 01:12:56 2014 sparse part has weight 791911510 (104.60/col)
  239. Wed Apr 02 01:12:56 2014 saving the first 48 matrix rows for later
  240. Wed Apr 02 01:12:59 2014 matrix includes 64 packed rows
  241. Wed Apr 02 01:13:00 2014 matrix is 7570366 x 7570590 (3195.8 MB) with weight 820384906 (108.36/col)
  242. Wed Apr 02 01:13:00 2014 sparse part has weight 762061860 (100.66/col)
  243. Wed Apr 02 01:13:00 2014 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  244. Wed Apr 02 01:13:40 2014 commencing Lanczos iteration (4 threads)
  245. Wed Apr 02 01:13:40 2014 memory use: 2693.1 MB
  246. Wed Apr 02 01:14:11 2014 linear algebra at 0.0%, ETA 41h29m
  247. Wed Apr 02 01:14:21 2014 checkpointing every 190000 dimensions
  248. Thu Apr 03 17:32:58 2014 lanczos halted after 119712 iterations (dim = 7570362)
  249. Thu Apr 03 17:33:06 2014 recovered 34 nontrivial dependencies
  250. Thu Apr 03 17:33:10 2014 BLanczosTime: 146076
  251. Thu Apr 03 17:33:10 2014
  252. Thu Apr 03 17:33:10 2014 commencing square root phase
  253. Thu Apr 03 17:33:10 2014 handling dependencies 1 to 64
  254. Thu Apr 03 17:33:10 2014 reading relations for dependency 1
  255. Thu Apr 03 17:33:12 2014 read 3785823 cycles
  256. Thu Apr 03 17:33:19 2014 cycles contain 12117114 unique relations
  257. Thu Apr 03 17:35:52 2014 read 12117114 relations
  258. Thu Apr 03 17:36:58 2014 multiplying 12117114 relations
  259. Thu Apr 03 17:45:33 2014 multiply complete, coefficients have about 388.21 million bits
  260. Thu Apr 03 17:45:36 2014 initial square root is modulo 9240151
  261. Thu Apr 03 17:57:19 2014 sqrtTime: 1449
  262. Thu Apr 03 17:57:19 2014 prp103 factor: 9328645549039943202108479675628629193819801944650153558279792437750144631551235429628139535667313431353
  263. Thu Apr 03 17:57:19 2014 prp110 factor: 16958350861442468152642681381856378382806445491179079295462237566442925639564808015016826333885975134152504239
  264. Thu Apr 03 17:57:19 2014 elapsed time 42:06:59
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