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Sep 15th, 2014
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  1. Tue Sep 9 19:00:12 2014
  2. Tue Sep 9 19:00:12 2014
  3. Tue Sep 9 19:00:12 2014 Msieve v. 1.52 (SVN 959)
  4. Tue Sep 9 19:00:12 2014 random seeds: fe494907 22873a33
  5. Tue Sep 9 19:00:12 2014 factoring 473735795066407295219535618863117639683884297091580273160458493563911091433154674916206241876303565755058258519699718147296826785564178663543841804688757589238740397658140518379148759426950602134503038256159990000434246750197187 (228 digits)
  6. Tue Sep 9 19:00:14 2014 no P-1/P+1/ECM available, skipping
  7. Tue Sep 9 19:00:14 2014 commencing number field sieve (228-digit input)
  8. Tue Sep 9 19:00:14 2014 R0: -3990838394187339929534246675572349035227
  9. Tue Sep 9 19:00:14 2014 R1: 1
  10. Tue Sep 9 19:00:14 2014 A0: 1
  11. Tue Sep 9 19:00:14 2014 A1: 0
  12. Tue Sep 9 19:00:14 2014 A2: 0
  13. Tue Sep 9 19:00:14 2014 A3: 0
  14. Tue Sep 9 19:00:14 2014 A4: 0
  15. Tue Sep 9 19:00:14 2014 A5: 0
  16. Tue Sep 9 19:00:14 2014 A6: 4500
  17. Tue Sep 9 19:00:14 2014 skew 1.00, size 5.222e-12, alpha -0.343, combined = 3.811e-13 rroots = 0
  18. Tue Sep 9 19:00:14 2014
  19. Tue Sep 9 19:00:14 2014 commencing relation filtering
  20. Tue Sep 9 19:00:14 2014 setting target matrix density to 120.0
  21. Tue Sep 9 19:00:14 2014 estimated available RAM is 16009.0 MB
  22. Tue Sep 9 19:00:14 2014 commencing duplicate removal, pass 1
  23. Tue Sep 9 19:01:23 2014 error -1 reading relation 3635127
  24. Tue Sep 9 19:02:26 2014 error -1 reading relation 9461809
  25. Tue Sep 9 19:02:27 2014 error -15 reading relation 9495423
  26. Tue Sep 9 19:03:07 2014 error -9 reading relation 13304755
  27. Tue Sep 9 19:03:07 2014 error -15 reading relation 13308609
  28. Tue Sep 9 19:04:12 2014 error -15 reading relation 19483905
  29. Tue Sep 9 19:05:30 2014 error -15 reading relation 26885825
  30. Tue Sep 9 19:05:30 2014 error -9 reading relation 26894000
  31. Tue Sep 9 19:06:24 2014 error -9 reading relation 32008516
  32. Tue Sep 9 19:06:24 2014 error -9 reading relation 32012098
  33. Tue Sep 9 19:06:58 2014 error -15 reading relation 35225661
  34. Tue Sep 9 19:08:06 2014 error -9 reading relation 41545490
  35. Tue Sep 9 19:08:09 2014 error -9 reading relation 41804590
  36. Tue Sep 9 19:08:31 2014 error -9 reading relation 43782805
  37. Tue Sep 9 19:10:15 2014 error -15 reading relation 53585491
  38. Tue Sep 9 19:11:15 2014 error -15 reading relation 59168093
  39. Tue Sep 9 19:11:41 2014 error -5 reading relation 61651513
  40. Tue Sep 9 19:12:17 2014 error -1 reading relation 65075825
  41. Tue Sep 9 19:13:55 2014 error -9 reading relation 74151731
  42. Tue Sep 9 19:15:16 2014 error -15 reading relation 81165680
  43. Tue Sep 9 19:16:37 2014 error -15 reading relation 88690905
  44. Tue Sep 9 19:16:43 2014 error -5 reading relation 89263670
  45. Tue Sep 9 19:17:04 2014 error -15 reading relation 91169528
  46. Tue Sep 9 19:22:15 2014 error -5 reading relation 119979688
  47. Tue Sep 9 19:22:57 2014 error -1 reading relation 123839987
  48. Tue Sep 9 19:22:57 2014 error -9 reading relation 123878148
  49. Tue Sep 9 19:23:10 2014 error -5 reading relation 125046669
  50. Tue Sep 9 19:23:57 2014 error -1 reading relation 129516544
  51. Tue Sep 9 19:24:14 2014 error -15 reading relation 131053447
  52. Tue Sep 9 19:26:21 2014 error -15 reading relation 142924972
  53. Tue Sep 9 19:26:33 2014 error -15 reading relation 144077833
  54. Tue Sep 9 19:26:49 2014 error -9 reading relation 145560028
  55. Tue Sep 9 19:30:06 2014 error -9 reading relation 163954971
  56. Tue Sep 9 19:31:08 2014 error -1 reading relation 169834499
  57. Tue Sep 9 19:33:49 2014 error -9 reading relation 184789726
  58. Tue Sep 9 19:35:11 2014 error -15 reading relation 192368323
  59. Tue Sep 9 19:37:13 2014 error -9 reading relation 203851526
  60. Tue Sep 9 19:38:05 2014 error -9 reading relation 208649844
  61. Tue Sep 9 19:38:10 2014 error -9 reading relation 209099865
  62. Tue Sep 9 19:38:10 2014 error -9 reading relation 209102686
  63. Tue Sep 9 19:38:10 2014 error -9 reading relation 209110122
  64. Tue Sep 9 19:39:55 2014 error -9 reading relation 218947308
  65. Tue Sep 9 19:40:13 2014 error -5 reading relation 220604478
  66. Tue Sep 9 19:40:26 2014 error -5 reading relation 221839912
  67. Tue Sep 9 19:40:52 2014 error -9 reading relation 224372365
  68. Tue Sep 9 19:40:54 2014 error -15 reading relation 224516675
  69. Tue Sep 9 19:41:01 2014 error -1 reading relation 225144075
  70. Tue Sep 9 19:41:08 2014 error -15 reading relation 225781838
  71. Tue Sep 9 19:41:10 2014 error -15 reading relation 225974851
  72. Tue Sep 9 19:41:21 2014 error -15 reading relation 227091454
  73. Tue Sep 9 19:41:21 2014 error -15 reading relation 227102179
  74. Tue Sep 9 19:41:32 2014 error -1 reading relation 228137882
  75. Tue Sep 9 19:41:32 2014 error -9 reading relation 228144083
  76. Tue Sep 9 19:42:16 2014 error -15 reading relation 232242196
  77. Tue Sep 9 19:42:41 2014 error -15 reading relation 234627734
  78. Tue Sep 9 19:43:08 2014 skipped 541 relations with b > 2^32
  79. Tue Sep 9 19:43:08 2014 found 46350189 hash collisions in 237135835 relations
  80. Tue Sep 9 19:43:25 2014 added 1219473 free relations
  81. Tue Sep 9 19:43:25 2014 commencing duplicate removal, pass 2
  82. Tue Sep 9 19:57:02 2014 found 45308426 duplicates and 193046882 unique relations
  83. Tue Sep 9 19:57:02 2014 memory use: 1321.5 MB
  84. Tue Sep 9 19:57:02 2014 reading ideals above 149880832
  85. Tue Sep 9 19:57:02 2014 commencing singleton removal, initial pass
  86. Tue Sep 9 20:37:07 2014 memory use: 3012.0 MB
  87. Tue Sep 9 20:37:07 2014 reading all ideals from disk
  88. Tue Sep 9 20:37:55 2014 memory use: 3242.2 MB
  89. Tue Sep 9 20:38:02 2014 commencing in-memory singleton removal
  90. Tue Sep 9 20:38:09 2014 begin with 193046882 relations and 158147130 unique ideals
  91. Tue Sep 9 20:39:24 2014 reduce to 124860592 relations and 82937862 ideals in 14 passes
  92. Tue Sep 9 20:39:24 2014 max relations containing the same ideal: 41
  93. Tue Sep 9 20:39:31 2014 reading ideals above 720000
  94. Tue Sep 9 20:39:31 2014 commencing singleton removal, initial pass
  95. Tue Sep 9 21:14:24 2014 memory use: 2756.0 MB
  96. Tue Sep 9 21:14:25 2014 reading all ideals from disk
  97. Tue Sep 9 21:15:50 2014 memory use: 4876.2 MB
  98. Tue Sep 9 21:16:05 2014 keeping 99178255 ideals with weight <= 200, target excess is 635335
  99. Tue Sep 9 21:16:20 2014 commencing in-memory singleton removal
  100. Tue Sep 9 21:16:32 2014 begin with 124860592 relations and 99178255 unique ideals
  101. Tue Sep 9 21:18:04 2014 reduce to 124856796 relations and 99174459 ideals in 8 passes
  102. Tue Sep 9 21:18:04 2014 max relations containing the same ideal: 200
  103. Tue Sep 9 21:19:02 2014 removing 10722659 relations and 8722659 ideals in 2000000 cliques
  104. Tue Sep 9 21:19:05 2014 commencing in-memory singleton removal
  105. Tue Sep 9 21:19:16 2014 begin with 114134137 relations and 99174459 unique ideals
  106. Tue Sep 9 21:20:41 2014 reduce to 113465190 relations and 89769321 ideals in 8 passes
  107. Tue Sep 9 21:20:41 2014 max relations containing the same ideal: 195
  108. Tue Sep 9 21:21:33 2014 removing 8140936 relations and 6140936 ideals in 2000000 cliques
  109. Tue Sep 9 21:21:36 2014 commencing in-memory singleton removal
  110. Tue Sep 9 21:21:46 2014 begin with 105324254 relations and 89769321 unique ideals
  111. Tue Sep 9 21:22:52 2014 reduce to 104876886 relations and 83173019 ideals in 7 passes
  112. Tue Sep 9 21:22:52 2014 max relations containing the same ideal: 189
  113. Tue Sep 9 21:23:40 2014 removing 7380025 relations and 5380025 ideals in 2000000 cliques
  114. Tue Sep 9 21:23:43 2014 commencing in-memory singleton removal
  115. Tue Sep 9 21:23:52 2014 begin with 97496861 relations and 83173019 unique ideals
  116. Tue Sep 9 21:24:53 2014 reduce to 97100950 relations and 77390033 ideals in 7 passes
  117. Tue Sep 9 21:24:53 2014 max relations containing the same ideal: 183
  118. Tue Sep 9 21:25:38 2014 removing 6988879 relations and 4988879 ideals in 2000000 cliques
  119. Tue Sep 9 21:25:41 2014 commencing in-memory singleton removal
  120. Tue Sep 9 21:25:49 2014 begin with 90112071 relations and 77390033 unique ideals
  121. Tue Sep 9 21:26:45 2014 reduce to 89739330 relations and 72021587 ideals in 7 passes
  122. Tue Sep 9 21:26:45 2014 max relations containing the same ideal: 171
  123. Tue Sep 9 21:27:26 2014 removing 6742076 relations and 4742076 ideals in 2000000 cliques
  124. Tue Sep 9 21:27:29 2014 commencing in-memory singleton removal
  125. Tue Sep 9 21:27:37 2014 begin with 82997254 relations and 72021587 unique ideals
  126. Tue Sep 9 21:28:34 2014 reduce to 82633527 relations and 66908729 ideals in 8 passes
  127. Tue Sep 9 21:28:34 2014 max relations containing the same ideal: 162
  128. Tue Sep 9 21:29:12 2014 removing 6578478 relations and 4578478 ideals in 2000000 cliques
  129. Tue Sep 9 21:29:15 2014 commencing in-memory singleton removal
  130. Tue Sep 9 21:29:22 2014 begin with 76055049 relations and 66908729 unique ideals
  131. Tue Sep 9 21:30:15 2014 reduce to 75690668 relations and 61958277 ideals in 8 passes
  132. Tue Sep 9 21:30:15 2014 max relations containing the same ideal: 152
  133. Tue Sep 9 21:30:50 2014 removing 6462410 relations and 4462410 ideals in 2000000 cliques
  134. Tue Sep 9 21:30:52 2014 commencing in-memory singleton removal
  135. Tue Sep 9 21:30:58 2014 begin with 69228258 relations and 61958277 unique ideals
  136. Tue Sep 9 21:31:46 2014 reduce to 68855820 relations and 57114915 ideals in 8 passes
  137. Tue Sep 9 21:31:46 2014 max relations containing the same ideal: 142
  138. Tue Sep 9 21:32:17 2014 removing 6374119 relations and 4374119 ideals in 2000000 cliques
  139. Tue Sep 9 21:32:20 2014 commencing in-memory singleton removal
  140. Tue Sep 9 21:32:25 2014 begin with 62481701 relations and 57114915 unique ideals
  141. Tue Sep 9 21:33:02 2014 reduce to 62093771 relations and 52342990 ideals in 7 passes
  142. Tue Sep 9 21:33:02 2014 max relations containing the same ideal: 133
  143. Tue Sep 9 21:33:31 2014 removing 6312693 relations and 4312693 ideals in 2000000 cliques
  144. Tue Sep 9 21:33:33 2014 commencing in-memory singleton removal
  145. Tue Sep 9 21:33:38 2014 begin with 55781078 relations and 52342990 unique ideals
  146. Tue Sep 9 21:34:11 2014 reduce to 55369227 relations and 47607105 ideals in 7 passes
  147. Tue Sep 9 21:34:11 2014 max relations containing the same ideal: 126
  148. Tue Sep 9 21:34:37 2014 removing 6266602 relations and 4266602 ideals in 2000000 cliques
  149. Tue Sep 9 21:34:40 2014 commencing in-memory singleton removal
  150. Tue Sep 9 21:34:44 2014 begin with 49102625 relations and 47607105 unique ideals
  151. Tue Sep 9 21:35:17 2014 reduce to 48655533 relations and 42879880 ideals in 8 passes
  152. Tue Sep 9 21:35:17 2014 max relations containing the same ideal: 112
  153. Tue Sep 9 21:35:40 2014 removing 6236428 relations and 4236428 ideals in 2000000 cliques
  154. Tue Sep 9 21:35:42 2014 commencing in-memory singleton removal
  155. Tue Sep 9 21:35:46 2014 begin with 42419105 relations and 42879880 unique ideals
  156. Tue Sep 9 21:36:13 2014 reduce to 41916794 relations and 38123940 ideals in 8 passes
  157. Tue Sep 9 21:36:13 2014 max relations containing the same ideal: 105
  158. Tue Sep 9 21:36:33 2014 removing 6227731 relations and 4227731 ideals in 2000000 cliques
  159. Tue Sep 9 21:36:35 2014 commencing in-memory singleton removal
  160. Tue Sep 9 21:36:38 2014 begin with 35689063 relations and 38123940 unique ideals
  161. Tue Sep 9 21:37:01 2014 reduce to 35099904 relations and 33283232 ideals in 8 passes
  162. Tue Sep 9 21:37:01 2014 max relations containing the same ideal: 91
  163. Tue Sep 9 21:37:17 2014 removing 3783231 relations and 2703548 ideals in 1079683 cliques
  164. Tue Sep 9 21:37:19 2014 commencing in-memory singleton removal
  165. Tue Sep 9 21:37:21 2014 begin with 31316673 relations and 33283232 unique ideals
  166. Tue Sep 9 21:37:41 2014 reduce to 31034944 relations and 30290308 ideals in 8 passes
  167. Tue Sep 9 21:37:41 2014 max relations containing the same ideal: 86
  168. Tue Sep 9 21:38:01 2014 relations with 0 large ideals: 24192
  169. Tue Sep 9 21:38:01 2014 relations with 1 large ideals: 9790
  170. Tue Sep 9 21:38:01 2014 relations with 2 large ideals: 127614
  171. Tue Sep 9 21:38:01 2014 relations with 3 large ideals: 841906
  172. Tue Sep 9 21:38:01 2014 relations with 4 large ideals: 2994893
  173. Tue Sep 9 21:38:01 2014 relations with 5 large ideals: 6330356
  174. Tue Sep 9 21:38:01 2014 relations with 6 large ideals: 8315304
  175. Tue Sep 9 21:38:01 2014 relations with 7+ large ideals: 12390889
  176. Tue Sep 9 21:38:01 2014 commencing 2-way merge
  177. Tue Sep 9 21:38:19 2014 reduce to 20696674 relation sets and 19952037 unique ideals
  178. Tue Sep 9 21:38:19 2014 commencing full merge
  179. Tue Sep 9 21:46:49 2014 memory use: 2655.5 MB
  180. Tue Sep 9 21:46:51 2014 found 9327402 cycles, need 9290237
  181. Tue Sep 9 21:46:53 2014 weight of 9290237 cycles is about 1115069123 (120.03/cycle)
  182. Tue Sep 9 21:46:53 2014 distribution of cycle lengths:
  183. Tue Sep 9 21:46:53 2014 1 relations: 329314
  184. Tue Sep 9 21:46:53 2014 2 relations: 511810
  185. Tue Sep 9 21:46:53 2014 3 relations: 627037
  186. Tue Sep 9 21:46:53 2014 4 relations: 665429
  187. Tue Sep 9 21:46:53 2014 5 relations: 694816
  188. Tue Sep 9 21:46:53 2014 6 relations: 698158
  189. Tue Sep 9 21:46:53 2014 7 relations: 691028
  190. Tue Sep 9 21:46:53 2014 8 relations: 664998
  191. Tue Sep 9 21:46:53 2014 9 relations: 625316
  192. Tue Sep 9 21:46:53 2014 10+ relations: 3782331
  193. Tue Sep 9 21:46:53 2014 heaviest cycle: 28 relations
  194. Tue Sep 9 21:46:56 2014 commencing cycle optimization
  195. Tue Sep 9 21:47:14 2014 start with 83480497 relations
  196. Tue Sep 9 21:50:38 2014 pruned 4117751 relations
  197. Tue Sep 9 21:50:38 2014 memory use: 2149.8 MB
  198. Tue Sep 9 21:50:38 2014 distribution of cycle lengths:
  199. Tue Sep 9 21:50:38 2014 1 relations: 329314
  200. Tue Sep 9 21:50:38 2014 2 relations: 525441
  201. Tue Sep 9 21:50:38 2014 3 relations: 654982
  202. Tue Sep 9 21:50:38 2014 4 relations: 695863
  203. Tue Sep 9 21:50:38 2014 5 relations: 732598
  204. Tue Sep 9 21:50:38 2014 6 relations: 735885
  205. Tue Sep 9 21:50:38 2014 7 relations: 731725
  206. Tue Sep 9 21:50:38 2014 8 relations: 701103
  207. Tue Sep 9 21:50:38 2014 9 relations: 657524
  208. Tue Sep 9 21:50:38 2014 10+ relations: 3525802
  209. Tue Sep 9 21:50:38 2014 heaviest cycle: 28 relations
  210. Tue Sep 9 21:50:54 2014 RelProcTime: 10240
  211. Tue Sep 9 21:50:54 2014
  212. Tue Sep 9 21:50:54 2014 commencing linear algebra
  213. Tue Sep 9 21:50:58 2014 read 9290237 cycles
  214. Tue Sep 9 21:51:17 2014 cycles contain 30620696 unique relations
  215. Tue Sep 9 22:07:44 2014 read 30620696 relations
  216. Tue Sep 9 22:08:45 2014 using 20 quadratic characters above 2147483030
  217. Tue Sep 9 22:10:46 2014 building initial matrix
  218. Tue Sep 9 22:17:16 2014 memory use: 3945.2 MB
  219. Tue Sep 9 22:17:49 2014 read 9290237 cycles
  220. Tue Sep 9 22:17:51 2014 matrix is 9290060 x 9290237 (4338.1 MB) with weight 1249100487 (134.45/col)
  221. Tue Sep 9 22:17:51 2014 sparse part has weight 1035006408 (111.41/col)
  222. Tue Sep 9 22:19:50 2014 filtering completed in 2 passes
  223. Tue Sep 9 22:19:51 2014 matrix is 9289950 x 9290127 (4338.1 MB) with weight 1249096652 (134.45/col)
  224. Tue Sep 9 22:19:51 2014 sparse part has weight 1035005109 (111.41/col)
  225. Tue Sep 9 22:20:57 2014 matrix starts at (0, 0)
  226. Tue Sep 9 22:20:58 2014 matrix is 9289950 x 9290127 (4338.1 MB) with weight 1249096652 (134.45/col)
  227. Tue Sep 9 22:20:58 2014 sparse part has weight 1035005109 (111.41/col)
  228. Tue Sep 9 22:20:58 2014 saving the first 48 matrix rows for later
  229. Tue Sep 9 22:21:00 2014 matrix includes 64 packed rows
  230. Tue Sep 9 22:21:01 2014 matrix is 9289902 x 9290127 (4156.9 MB) with weight 1068879696 (115.06/col)
  231. Tue Sep 9 22:21:01 2014 sparse part has weight 996801003 (107.30/col)
  232. Tue Sep 9 22:21:02 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  233. Tue Sep 9 22:21:43 2014 commencing Lanczos iteration (3 threads)
  234. Tue Sep 9 22:21:43 2014 memory use: 3533.7 MB
  235. Tue Sep 9 22:22:45 2014 linear algebra at 0.0%, ETA 100h 5m
  236. Tue Sep 9 22:23:08 2014 checkpointing every 90000 dimensions
  237. Sat Sep 13 20:00:20 2014 lanczos halted after 146908 iterations (dim = 9289899)
  238. Sat Sep 13 20:01:00 2014 recovered 40 nontrivial dependencies
  239. Sat Sep 13 20:01:00 2014 BLanczosTime: 339006
  240. Sat Sep 13 20:01:00 2014
  241. Sat Sep 13 20:01:00 2014 commencing square root phase
  242. Sat Sep 13 20:01:00 2014 handling dependencies 1 to 64
  243. Sat Sep 13 20:01:00 2014 reading relations for dependency 1
  244. Sat Sep 13 20:01:03 2014 read 4644987 cycles
  245. Sat Sep 13 20:01:12 2014 cycles contain 15309986 unique relations
  246. Sat Sep 13 20:24:10 2014 read 15309986 relations
  247. Sat Sep 13 20:25:20 2014 multiplying 15309986 relations
  248. Sat Sep 13 20:42:51 2014 multiply complete, coefficients have about 551.64 million bits
  249. Sat Sep 13 20:42:53 2014 initial square root is modulo 88951
  250. Sat Sep 13 21:01:36 2014 GCD is N, no factor found
  251. Sat Sep 13 21:01:36 2014 reading relations for dependency 2
  252. Sat Sep 13 21:01:39 2014 read 4642193 cycles
  253. Sat Sep 13 21:01:48 2014 cycles contain 15301530 unique relations
  254. Sat Sep 13 21:26:55 2014 read 15301530 relations
  255. Sat Sep 13 21:28:03 2014 multiplying 15301530 relations
  256. Sat Sep 13 21:45:33 2014 multiply complete, coefficients have about 551.33 million bits
  257. Sat Sep 13 21:45:35 2014 initial square root is modulo 88411
  258. Sat Sep 13 22:04:24 2014 sqrtTime: 7404
  259. Sat Sep 13 22:04:24 2014 prp63 factor: 244559704051062643105923212826547043644123384267057817678467409
  260. Sat Sep 13 22:04:24 2014 prp166 factor: 1937096697530734735808566499420836932516732745738918202741792125888157323282536681913860846108786567798811249981761874727603629445005716053635702536673892223042015443
  261. Sat Sep 13 22:04:24 2014 elapsed time 99:04:12
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