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Jul 3rd, 2014
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  1. Mon Jun 30 13:05:31 2014
  2. Mon Jun 30 13:05:31 2014
  3. Mon Jun 30 13:05:31 2014 Msieve v. 1.52 (SVN 959)
  4. Mon Jun 30 13:05:31 2014 random seeds: 7744fffe edaf20af
  5. Mon Jun 30 13:05:31 2014 factoring 47713551673276781450914715066157248084649730233527119265996160809142585067577428975730677159616419789619219526744664315538143579093821786698424521757588386226362777700245719177447618352685469 (191 digits)
  6. Mon Jun 30 13:05:32 2014 no P-1/P+1/ECM available, skipping
  7. Mon Jun 30 13:05:32 2014 commencing number field sieve (191-digit input)
  8. Mon Jun 30 13:05:32 2014 R0: -30912680532870672635673352936887453361
  9. Mon Jun 30 13:05:32 2014 R1: 1
  10. Mon Jun 30 13:05:32 2014 A0: -1
  11. Mon Jun 30 13:05:32 2014 A1: 0
  12. Mon Jun 30 13:05:32 2014 A2: 0
  13. Mon Jun 30 13:05:32 2014 A3: 0
  14. Mon Jun 30 13:05:32 2014 A4: 0
  15. Mon Jun 30 13:05:32 2014 A5: 0
  16. Mon Jun 30 13:05:32 2014 A6: 291489
  17. Mon Jun 30 13:05:32 2014 skew 1.00, size 8.712e-12, alpha 0.649, combined = 5.040e-13 rroots = 2
  18. Mon Jun 30 13:05:32 2014
  19. Mon Jun 30 13:05:32 2014 commencing relation filtering
  20. Mon Jun 30 13:05:32 2014 setting target matrix density to 100.0
  21. Mon Jun 30 13:05:32 2014 estimated available RAM is 16009.0 MB
  22. Mon Jun 30 13:05:32 2014 commencing duplicate removal, pass 1
  23. Mon Jun 30 13:08:18 2014 error -9 reading relation 17791100
  24. Mon Jun 30 13:08:22 2014 error -15 reading relation 18164652
  25. Mon Jun 30 13:08:22 2014 error -5 reading relation 18164653
  26. Mon Jun 30 13:08:23 2014 error -9 reading relation 18284410
  27. Mon Jun 30 13:08:23 2014 error -9 reading relation 18301772
  28. Mon Jun 30 13:08:28 2014 error -15 reading relation 18865575
  29. Mon Jun 30 13:09:09 2014 error -15 reading relation 23128462
  30. Mon Jun 30 13:10:15 2014 error -15 reading relation 29955174
  31. Mon Jun 30 13:11:18 2014 error -9 reading relation 36594122
  32. Mon Jun 30 13:11:19 2014 error -1 reading relation 36704302
  33. Mon Jun 30 13:11:42 2014 error -15 reading relation 39259864
  34. Mon Jun 30 13:11:43 2014 error -1 reading relation 39356469
  35. Mon Jun 30 13:11:54 2014 error -9 reading relation 40540311
  36. Mon Jun 30 13:12:52 2014 error -5 reading relation 46726272
  37. Mon Jun 30 13:12:53 2014 error -15 reading relation 46761806
  38. Mon Jun 30 13:13:05 2014 error -9 reading relation 48002454
  39. Mon Jun 30 13:13:05 2014 error -9 reading relation 48040992
  40. Mon Jun 30 13:13:06 2014 error -9 reading relation 48182616
  41. Mon Jun 30 13:13:07 2014 error -15 reading relation 48224723
  42. Mon Jun 30 13:13:07 2014 error -5 reading relation 48243222
  43. Mon Jun 30 13:13:09 2014 error -9 reading relation 48484863
  44. Mon Jun 30 13:13:12 2014 error -9 reading relation 48760402
  45. Mon Jun 30 13:13:12 2014 error -9 reading relation 48778191
  46. Mon Jun 30 13:13:21 2014 error -9 reading relation 49770197
  47. Mon Jun 30 13:13:24 2014 error -5 reading relation 50099324
  48. Mon Jun 30 13:13:44 2014 error -15 reading relation 52067908
  49. Mon Jun 30 13:14:43 2014 error -15 reading relation 58339566
  50. Mon Jun 30 13:14:54 2014 error -5 reading relation 59299175
  51. Mon Jun 30 13:15:15 2014 error -15 reading relation 61126788
  52. Mon Jun 30 13:15:54 2014 error -15 reading relation 65308758
  53. Mon Jun 30 13:16:00 2014 error -15 reading relation 65959673
  54. Mon Jun 30 13:17:13 2014 error -9 reading relation 73645693
  55. Mon Jun 30 13:17:13 2014 error -15 reading relation 73645769
  56. Mon Jun 30 13:18:23 2014 error -9 reading relation 80812531
  57. Mon Jun 30 13:18:58 2014 error -5 reading relation 84643032
  58. Mon Jun 30 13:18:59 2014 error -15 reading relation 84657300
  59. Mon Jun 30 13:18:59 2014 error -15 reading relation 84657338
  60. Mon Jun 30 13:19:07 2014 error -15 reading relation 85542218
  61. Mon Jun 30 13:19:07 2014 error -15 reading relation 85542255
  62. Mon Jun 30 13:19:07 2014 error -9 reading relation 85563876
  63. Mon Jun 30 13:19:11 2014 error -5 reading relation 85937898
  64. Mon Jun 30 13:19:13 2014 error -1 reading relation 86196453
  65. Mon Jun 30 13:20:01 2014 error -15 reading relation 91007373
  66. Mon Jun 30 13:20:01 2014 error -9 reading relation 91007450
  67. Mon Jun 30 13:20:46 2014 error -15 reading relation 95812588
  68. Mon Jun 30 13:22:45 2014 error -15 reading relation 109395512
  69. Mon Jun 30 13:22:46 2014 error -15 reading relation 109487887
  70. Mon Jun 30 13:22:46 2014 error -15 reading relation 109529862
  71. Mon Jun 30 13:22:46 2014 error -5 reading relation 109554346
  72. Mon Jun 30 13:22:49 2014 error -5 reading relation 109807491
  73. Mon Jun 30 13:22:50 2014 error -9 reading relation 109916668
  74. Mon Jun 30 13:22:51 2014 error -15 reading relation 110002020
  75. Mon Jun 30 13:23:05 2014 error -1 reading relation 111516385
  76. Mon Jun 30 13:23:05 2014 error -9 reading relation 111537008
  77. Mon Jun 30 13:23:06 2014 error -15 reading relation 111557814
  78. Mon Jun 30 13:23:06 2014 error -15 reading relation 111577608
  79. Mon Jun 30 13:23:10 2014 error -15 reading relation 112064930
  80. Mon Jun 30 13:23:33 2014 error -9 reading relation 114371953
  81. Mon Jun 30 13:23:38 2014 error -9 reading relation 114870467
  82. Mon Jun 30 13:23:38 2014 error -9 reading relation 114911014
  83. Mon Jun 30 13:23:38 2014 error -9 reading relation 114967360
  84. Mon Jun 30 13:23:51 2014 error -9 reading relation 116325205
  85. Mon Jun 30 13:24:13 2014 error -9 reading relation 118589685
  86. Mon Jun 30 13:24:14 2014 error -9 reading relation 118632683
  87. Mon Jun 30 13:24:14 2014 error -5 reading relation 118677240
  88. Mon Jun 30 13:24:16 2014 error -5 reading relation 118859814
  89. Mon Jun 30 13:24:17 2014 error -15 reading relation 118943425
  90. Mon Jun 30 13:24:19 2014 error -1 reading relation 119187264
  91. Mon Jun 30 13:24:20 2014 error -15 reading relation 119277325
  92. Mon Jun 30 13:24:21 2014 error -15 reading relation 119316972
  93. Mon Jun 30 13:24:32 2014 error -1 reading relation 120515184
  94. Mon Jun 30 13:24:49 2014 error -15 reading relation 122218343
  95. Mon Jun 30 13:24:49 2014 error -9 reading relation 122218967
  96. Mon Jun 30 13:24:49 2014 error -15 reading relation 122223996
  97. Mon Jun 30 13:24:49 2014 error -9 reading relation 122225143
  98. Mon Jun 30 13:24:49 2014 error -9 reading relation 122227051
  99. Mon Jun 30 13:24:49 2014 error -9 reading relation 122227314
  100. Mon Jun 30 13:25:28 2014 skipped 527 relations with b > 2^32
  101. Mon Jun 30 13:25:28 2014 found 25737215 hash collisions in 125616570 relations
  102. Mon Jun 30 13:25:41 2014 commencing duplicate removal, pass 2
  103. Mon Jun 30 13:32:30 2014 found 25565649 duplicates and 100050921 unique relations
  104. Mon Jun 30 13:32:30 2014 memory use: 660.8 MB
  105. Mon Jun 30 13:32:30 2014 reading ideals above 99942400
  106. Mon Jun 30 13:32:30 2014 commencing singleton removal, initial pass
  107. Mon Jun 30 13:51:15 2014 memory use: 1506.0 MB
  108. Mon Jun 30 13:51:15 2014 reading all ideals from disk
  109. Mon Jun 30 13:51:31 2014 memory use: 1726.7 MB
  110. Mon Jun 30 13:51:34 2014 commencing in-memory singleton removal
  111. Mon Jun 30 13:51:37 2014 begin with 100050921 relations and 80746113 unique ideals
  112. Mon Jun 30 13:52:11 2014 reduce to 66403760 relations and 43793052 ideals in 13 passes
  113. Mon Jun 30 13:52:11 2014 max relations containing the same ideal: 35
  114. Mon Jun 30 13:52:14 2014 reading ideals above 720000
  115. Mon Jun 30 13:52:14 2014 commencing singleton removal, initial pass
  116. Mon Jun 30 14:08:57 2014 memory use: 1506.0 MB
  117. Mon Jun 30 14:08:57 2014 reading all ideals from disk
  118. Mon Jun 30 14:09:31 2014 memory use: 2539.8 MB
  119. Mon Jun 30 14:09:38 2014 keeping 54964722 ideals with weight <= 200, target excess is 344080
  120. Mon Jun 30 14:09:45 2014 commencing in-memory singleton removal
  121. Mon Jun 30 14:09:51 2014 begin with 66403762 relations and 54964722 unique ideals
  122. Mon Jun 30 14:10:31 2014 reduce to 66397734 relations and 54958685 ideals in 7 passes
  123. Mon Jun 30 14:10:31 2014 max relations containing the same ideal: 200
  124. Mon Jun 30 14:11:00 2014 removing 8831818 relations and 6831818 ideals in 2000000 cliques
  125. Mon Jun 30 14:11:02 2014 commencing in-memory singleton removal
  126. Mon Jun 30 14:11:08 2014 begin with 57565916 relations and 54958685 unique ideals
  127. Mon Jun 30 14:11:47 2014 reduce to 56653425 relations and 47180879 ideals in 8 passes
  128. Mon Jun 30 14:11:47 2014 max relations containing the same ideal: 188
  129. Mon Jun 30 14:12:12 2014 removing 7029403 relations and 5029403 ideals in 2000000 cliques
  130. Mon Jun 30 14:12:15 2014 commencing in-memory singleton removal
  131. Mon Jun 30 14:12:19 2014 begin with 49624022 relations and 47180879 unique ideals
  132. Mon Jun 30 14:12:48 2014 reduce to 48980231 relations and 41485204 ideals in 7 passes
  133. Mon Jun 30 14:12:48 2014 max relations containing the same ideal: 174
  134. Mon Jun 30 14:13:10 2014 removing 6489894 relations and 4489894 ideals in 2000000 cliques
  135. Mon Jun 30 14:13:12 2014 commencing in-memory singleton removal
  136. Mon Jun 30 14:13:16 2014 begin with 42490337 relations and 41485204 unique ideals
  137. Mon Jun 30 14:13:44 2014 reduce to 41895670 relations and 36378309 ideals in 8 passes
  138. Mon Jun 30 14:13:44 2014 max relations containing the same ideal: 158
  139. Mon Jun 30 14:14:02 2014 removing 6204762 relations and 4204762 ideals in 2000000 cliques
  140. Mon Jun 30 14:14:04 2014 commencing in-memory singleton removal
  141. Mon Jun 30 14:14:07 2014 begin with 35690908 relations and 36378309 unique ideals
  142. Mon Jun 30 14:14:28 2014 reduce to 35091334 relations and 31548698 ideals in 7 passes
  143. Mon Jun 30 14:14:28 2014 max relations containing the same ideal: 142
  144. Mon Jun 30 14:14:43 2014 removing 6020736 relations and 4020736 ideals in 2000000 cliques
  145. Mon Jun 30 14:14:45 2014 commencing in-memory singleton removal
  146. Mon Jun 30 14:14:47 2014 begin with 29070598 relations and 31548698 unique ideals
  147. Mon Jun 30 14:15:08 2014 reduce to 28414033 relations and 26839081 ideals in 9 passes
  148. Mon Jun 30 14:15:08 2014 max relations containing the same ideal: 121
  149. Mon Jun 30 14:15:21 2014 removing 3842370 relations and 2666551 ideals in 1175819 cliques
  150. Mon Jun 30 14:15:23 2014 commencing in-memory singleton removal
  151. Mon Jun 30 14:15:25 2014 begin with 24571663 relations and 26839081 unique ideals
  152. Mon Jun 30 14:15:40 2014 reduce to 24218378 relations and 23806049 ideals in 8 passes
  153. Mon Jun 30 14:15:40 2014 max relations containing the same ideal: 107
  154. Mon Jun 30 14:15:51 2014 removing 85911 relations and 72715 ideals in 13196 cliques
  155. Mon Jun 30 14:15:52 2014 commencing in-memory singleton removal
  156. Mon Jun 30 14:15:54 2014 begin with 24132467 relations and 23806049 unique ideals
  157. Mon Jun 30 14:16:01 2014 reduce to 24132283 relations and 23733150 ideals in 4 passes
  158. Mon Jun 30 14:16:01 2014 max relations containing the same ideal: 106
  159. Mon Jun 30 14:16:06 2014 relations with 0 large ideals: 12626
  160. Mon Jun 30 14:16:06 2014 relations with 1 large ideals: 3806
  161. Mon Jun 30 14:16:06 2014 relations with 2 large ideals: 38199
  162. Mon Jun 30 14:16:06 2014 relations with 3 large ideals: 307721
  163. Mon Jun 30 14:16:06 2014 relations with 4 large ideals: 1349621
  164. Mon Jun 30 14:16:06 2014 relations with 5 large ideals: 3551377
  165. Mon Jun 30 14:16:06 2014 relations with 6 large ideals: 5885386
  166. Mon Jun 30 14:16:06 2014 relations with 7+ large ideals: 12983547
  167. Mon Jun 30 14:16:06 2014 commencing 2-way merge
  168. Mon Jun 30 14:16:20 2014 reduce to 16677362 relation sets and 16278229 unique ideals
  169. Mon Jun 30 14:16:20 2014 commencing full merge
  170. Mon Jun 30 14:22:03 2014 memory use: 2113.2 MB
  171. Mon Jun 30 14:22:04 2014 found 7901702 cycles, need 7860429
  172. Mon Jun 30 14:22:06 2014 weight of 7860429 cycles is about 786621767 (100.07/cycle)
  173. Mon Jun 30 14:22:06 2014 distribution of cycle lengths:
  174. Mon Jun 30 14:22:06 2014 1 relations: 350634
  175. Mon Jun 30 14:22:06 2014 2 relations: 567688
  176. Mon Jun 30 14:22:06 2014 3 relations: 684205
  177. Mon Jun 30 14:22:06 2014 4 relations: 706914
  178. Mon Jun 30 14:22:06 2014 5 relations: 717279
  179. Mon Jun 30 14:22:06 2014 6 relations: 696394
  180. Mon Jun 30 14:22:06 2014 7 relations: 655877
  181. Mon Jun 30 14:22:06 2014 8 relations: 599225
  182. Mon Jun 30 14:22:06 2014 9 relations: 533668
  183. Mon Jun 30 14:22:06 2014 10+ relations: 2348545
  184. Mon Jun 30 14:22:06 2014 heaviest cycle: 28 relations
  185. Mon Jun 30 14:22:08 2014 commencing cycle optimization
  186. Mon Jun 30 14:22:21 2014 start with 59662577 relations
  187. Mon Jun 30 14:24:16 2014 pruned 2600761 relations
  188. Mon Jun 30 14:24:16 2014 memory use: 1629.3 MB
  189. Mon Jun 30 14:24:16 2014 distribution of cycle lengths:
  190. Mon Jun 30 14:24:16 2014 1 relations: 350634
  191. Mon Jun 30 14:24:16 2014 2 relations: 582707
  192. Mon Jun 30 14:24:16 2014 3 relations: 716272
  193. Mon Jun 30 14:24:16 2014 4 relations: 738329
  194. Mon Jun 30 14:24:16 2014 5 relations: 755437
  195. Mon Jun 30 14:24:16 2014 6 relations: 728293
  196. Mon Jun 30 14:24:16 2014 7 relations: 686686
  197. Mon Jun 30 14:24:16 2014 8 relations: 620334
  198. Mon Jun 30 14:24:16 2014 9 relations: 548412
  199. Mon Jun 30 14:24:16 2014 10+ relations: 2133325
  200. Mon Jun 30 14:24:16 2014 heaviest cycle: 27 relations
  201. Mon Jun 30 14:24:30 2014 RelProcTime: 4738
  202. Mon Jun 30 14:24:30 2014
  203. Mon Jun 30 14:24:30 2014 commencing linear algebra
  204. Mon Jun 30 14:24:31 2014 read 7860429 cycles
  205. Mon Jun 30 14:24:45 2014 cycles contain 23931052 unique relations
  206. Mon Jun 30 14:33:55 2014 read 23931052 relations
  207. Mon Jun 30 14:34:35 2014 using 20 quadratic characters above 1073741718
  208. Mon Jun 30 14:36:05 2014 building initial matrix
  209. Mon Jun 30 14:40:19 2014 memory use: 3134.6 MB
  210. Mon Jun 30 14:40:24 2014 read 7860429 cycles
  211. Mon Jun 30 14:40:25 2014 matrix is 7860252 x 7860429 (3150.5 MB) with weight 913014872 (116.15/col)
  212. Mon Jun 30 14:40:25 2014 sparse part has weight 739417796 (94.07/col)
  213. Mon Jun 30 14:41:44 2014 filtering completed in 2 passes
  214. Mon Jun 30 14:41:45 2014 matrix is 7860033 x 7860210 (3150.5 MB) with weight 913008030 (116.16/col)
  215. Mon Jun 30 14:41:45 2014 sparse part has weight 739415751 (94.07/col)
  216. Mon Jun 30 14:42:40 2014 matrix starts at (0, 0)
  217. Mon Jun 30 14:42:41 2014 matrix is 7860033 x 7860210 (3150.5 MB) with weight 913008030 (116.16/col)
  218. Mon Jun 30 14:42:41 2014 sparse part has weight 739415751 (94.07/col)
  219. Mon Jun 30 14:42:41 2014 saving the first 48 matrix rows for later
  220. Mon Jun 30 14:42:42 2014 matrix includes 64 packed rows
  221. Mon Jun 30 14:42:43 2014 matrix is 7859985 x 7860210 (3010.4 MB) with weight 764013522 (97.20/col)
  222. Mon Jun 30 14:42:43 2014 sparse part has weight 710550657 (90.40/col)
  223. Mon Jun 30 14:42:43 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  224. Mon Jun 30 14:43:12 2014 commencing Lanczos iteration (3 threads)
  225. Mon Jun 30 14:43:12 2014 memory use: 2536.6 MB
  226. Mon Jun 30 14:43:49 2014 linear algebra at 0.0%, ETA 51h58m
  227. Mon Jun 30 14:44:01 2014 checkpointing every 160000 dimensions
  228. Wed Jul 2 17:52:24 2014 lanczos halted after 124293 iterations (dim = 7859981)
  229. Wed Jul 2 17:52:32 2014 recovered 34 nontrivial dependencies
  230. Wed Jul 2 17:52:32 2014 BLanczosTime: 185282
  231. Wed Jul 2 17:52:32 2014
  232. Wed Jul 2 17:52:32 2014 commencing square root phase
  233. Wed Jul 2 17:52:32 2014 handling dependencies 1 to 64
  234. Wed Jul 2 17:52:32 2014 reading relations for dependency 1
  235. Wed Jul 2 17:52:35 2014 read 3928772 cycles
  236. Wed Jul 2 17:52:41 2014 cycles contain 11962288 unique relations
  237. Wed Jul 2 18:04:25 2014 read 11962288 relations
  238. Wed Jul 2 18:05:13 2014 multiplying 11962288 relations
  239. Wed Jul 2 18:17:48 2014 multiply complete, coefficients have about 495.01 million bits
  240. Wed Jul 2 18:17:49 2014 initial square root is modulo 762007501
  241. Wed Jul 2 18:32:24 2014 GCD is 1, no factor found
  242. Wed Jul 2 18:32:24 2014 reading relations for dependency 2
  243. Wed Jul 2 18:32:27 2014 read 3929612 cycles
  244. Wed Jul 2 18:32:33 2014 cycles contain 11962798 unique relations
  245. Wed Jul 2 18:44:11 2014 read 11962798 relations
  246. Wed Jul 2 18:44:59 2014 multiplying 11962798 relations
  247. Wed Jul 2 18:57:38 2014 multiply complete, coefficients have about 495.02 million bits
  248. Wed Jul 2 18:57:39 2014 initial square root is modulo 762560089
  249. Wed Jul 2 19:12:14 2014 GCD is N, no factor found
  250. Wed Jul 2 19:12:14 2014 reading relations for dependency 3
  251. Wed Jul 2 19:12:18 2014 read 3928294 cycles
  252. Wed Jul 2 19:12:24 2014 cycles contain 11963996 unique relations
  253. Wed Jul 2 19:24:10 2014 read 11963996 relations
  254. Wed Jul 2 19:24:58 2014 multiplying 11963996 relations
  255. Wed Jul 2 19:37:37 2014 multiply complete, coefficients have about 495.07 million bits
  256. Wed Jul 2 19:37:38 2014 initial square root is modulo 764002243
  257. Wed Jul 2 19:52:13 2014 GCD is 1, no factor found
  258. Wed Jul 2 19:52:13 2014 reading relations for dependency 4
  259. Wed Jul 2 19:52:16 2014 read 3930756 cycles
  260. Wed Jul 2 19:52:22 2014 cycles contain 11969666 unique relations
  261. Wed Jul 2 20:04:02 2014 read 11969666 relations
  262. Wed Jul 2 20:04:50 2014 multiplying 11969666 relations
  263. Wed Jul 2 20:17:26 2014 multiply complete, coefficients have about 495.29 million bits
  264. Wed Jul 2 20:17:28 2014 initial square root is modulo 771081811
  265. Wed Jul 2 20:32:01 2014 sqrtTime: 9569
  266. Wed Jul 2 20:32:01 2014 prp79 factor: 1111311316618589879708928196739584948763935183044655049280766013394787738757327
  267. Wed Jul 2 20:32:01 2014 prp113 factor: 42934460362066500167065925004394957756913613111999126336558671696666934817362174794343354829669816609500980859347
  268. Wed Jul 2 20:32:01 2014 elapsed time 55:26:30
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