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142^98+98^142

CarlosPinho Aug 4th, 2016 150 Never
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ENDING IN00days00hours00mins00secs
 
  1. Sat Jul 23 16:50:16 2016  
  2. Sat Jul 23 16:50:16 2016  
  3. Sat Jul 23 16:50:16 2016  Msieve v. 1.52 (SVN unknown)
  4. Sat Jul 23 16:50:16 2016  random seeds: da9dbd30 e4a6bcbf
  5. Sat Jul 23 16:50:16 2016  factoring 3056268123957690726732766718804615484576148773562724115725836770837884887741203202335650602454016916737838114562165230581840742364715911425886130166635434256776904389856237688451930604641889137224256658733506109443391697502849596478117422847007483357 (250 digits)
  6. Sat Jul 23 16:50:18 2016  no P-1/P+1/ECM available, skipping
  7. Sat Jul 23 16:50:18 2016  commencing number field sieve (250-digit input)
  8. Sat Jul 23 16:50:18 2016  R0: 87968619501296925436944936601430233751159308288
  9. Sat Jul 23 16:50:18 2016  R1: 27328356228554426163172505624313856
  10. Sat Jul 23 16:50:18 2016  A0: 80656
  11. Sat Jul 23 16:50:18 2016  A1: 0
  12. Sat Jul 23 16:50:18 2016  A2: 0
  13. Sat Jul 23 16:50:18 2016  A3: 0
  14. Sat Jul 23 16:50:18 2016  A4: 0
  15. Sat Jul 23 16:50:18 2016  A5: 0
  16. Sat Jul 23 16:50:18 2016  A6: 49
  17. Sat Jul 23 16:50:18 2016  skew 3.44, size 1.968e-014, alpha 0.211, combined = 6.351e-015 rroots = 0
  18. Sat Jul 23 16:50:18 2016  
  19. Sat Jul 23 16:50:18 2016  commencing relation filtering
  20. Sat Jul 23 16:50:18 2016  setting target matrix density to 128.0
  21. Sat Jul 23 16:50:18 2016  estimated available RAM is 12241.4 MB
  22. Sat Jul 23 16:50:18 2016  commencing duplicate removal, pass 1
  23. Sat Jul 23 17:16:57 2016  error -15 reading relation 148136803
  24. Sat Jul 23 17:16:57 2016  error -15 reading relation 148145619
  25. Sat Jul 23 17:21:34 2016  error -9 reading relation 174115780
  26. Sat Jul 23 17:23:51 2016  error -1 reading relation 186963024
  27. Sat Jul 23 17:23:51 2016  error -9 reading relation 186965785
  28. Sat Jul 23 17:26:45 2016  error -9 reading relation 203336730
  29. Sat Jul 23 17:38:23 2016  error -9 reading relation 268851497
  30. Sat Jul 23 17:38:25 2016  error -9 reading relation 269008331
  31. Sat Jul 23 17:38:33 2016  error -9 reading relation 269740463
  32. Sat Jul 23 17:38:45 2016  error -15 reading relation 270924964
  33. Sat Jul 23 17:38:55 2016  error -15 reading relation 271822604
  34. Sat Jul 23 17:39:01 2016  error -9 reading relation 272441032
  35. Sat Jul 23 17:40:02 2016  error -5 reading relation 278096975
  36. Sat Jul 23 17:42:28 2016  error -9 reading relation 291827028
  37. Sat Jul 23 17:44:09 2016  error -15 reading relation 301442467
  38. Sat Jul 23 17:48:26 2016  error -15 reading relation 325547402
  39. Sat Jul 23 17:49:44 2016  error -15 reading relation 332839098
  40. Sat Jul 23 17:49:58 2016  error -15 reading relation 334180279
  41. Sat Jul 23 17:50:22 2016  error -9 reading relation 336427268
  42. Sat Jul 23 17:50:37 2016  error -9 reading relation 337849987
  43. Sat Jul 23 17:57:17 2016  error -9 reading relation 375478506
  44. Sat Jul 23 17:58:22 2016  error -15 reading relation 381663963
  45. Sat Jul 23 17:58:33 2016  error -9 reading relation 382677703
  46. Sat Jul 23 17:58:38 2016  error -5 reading relation 383116011
  47. Sat Jul 23 17:58:39 2016  error -9 reading relation 383220681
  48. Sat Jul 23 17:58:48 2016  error -9 reading relation 384170442
  49. Sat Jul 23 17:58:51 2016  error -9 reading relation 384486641
  50. Sat Jul 23 17:58:55 2016  error -15 reading relation 384812232
  51. Sat Jul 23 17:59:25 2016  error -15 reading relation 387726635
  52. Sat Jul 23 17:59:34 2016  error -9 reading relation 388594109
  53. Sat Jul 23 17:59:35 2016  error -15 reading relation 388669220
  54. Sat Jul 23 17:59:38 2016  error -15 reading relation 388890810
  55. Sat Jul 23 18:00:29 2016  error -15 reading relation 393760027
  56. Sat Jul 23 18:01:10 2016  error -5 reading relation 397712347
  57. Sat Jul 23 18:03:32 2016  error -9 reading relation 410960458
  58. Sat Jul 23 18:04:43 2016  error -9 reading relation 417875299
  59. Sat Jul 23 18:04:50 2016  error -5 reading relation 418598586
  60. Sat Jul 23 18:05:22 2016  skipped 184 relations with b > 2^32
  61. Sat Jul 23 18:05:22 2016  found 90283637 hash collisions in 421567774 relations
  62. Sat Jul 23 18:05:50 2016  added 1218571 free relations
  63. Sat Jul 23 18:05:50 2016  commencing duplicate removal, pass 2
  64. Sat Jul 23 18:13:03 2016  found 82286375 duplicates and 340499970 unique relations
  65. Sat Jul 23 18:13:03 2016  memory use: 2387.0 MB
  66. Sat Jul 23 18:13:04 2016  reading ideals above 199950336
  67. Sat Jul 23 18:13:04 2016  commencing singleton removal, initial pass
  68. Sat Jul 23 19:20:14 2016  memory use: 6024.0 MB
  69. Sat Jul 23 19:20:15 2016  reading all ideals from disk
  70. Sat Jul 23 19:20:58 2016  memory use: 5925.3 MB
  71. Sat Jul 23 19:21:11 2016  commencing in-memory singleton removal
  72. Sat Jul 23 19:21:23 2016  begin with 340499970 relations and 301144594 unique ideals
  73. Sat Jul 23 19:23:35 2016  reduce to 195481887 relations and 138401414 ideals in 15 passes
  74. Sat Jul 23 19:23:35 2016  max relations containing the same ideal: 45
  75. Sat Jul 23 19:23:50 2016  reading ideals above 720000
  76. Sat Jul 23 19:23:51 2016  commencing singleton removal, initial pass
  77. Sat Jul 23 20:10:06 2016  memory use: 3012.0 MB
  78. Sat Jul 23 20:10:06 2016  reading large ideals from disk
  79. Sat Jul 23 20:13:23 2016  keeping 143882404 ideals with weight <= 20, target excess is 16667913
  80. Sat Jul 23 20:20:51 2016  memory use: 5169.6 MB
  81. Sat Jul 23 20:20:51 2016  commencing in-memory singleton removal
  82. Sat Jul 23 20:20:59 2016  begin with 195481887 relations and 143882404 unique ideals
  83. Sat Jul 23 20:22:15 2016  reduce to 195477913 relations and 143878430 ideals in 9 passes
  84. Sat Jul 23 20:22:15 2016  max relations containing the same ideal: 20
  85. Sat Jul 23 20:23:08 2016  removing 13249936 relations and 11249936 ideals in 2000000 cliques
  86. Sat Jul 23 20:23:12 2016  commencing in-memory singleton removal
  87. Sat Jul 23 20:23:20 2016  begin with 182227977 relations and 143878430 unique ideals
  88. Sat Jul 23 20:24:31 2016  reduce to 181490511 relations and 131881065 ideals in 9 passes
  89. Sat Jul 23 20:24:31 2016  max relations containing the same ideal: 20
  90. Sat Jul 23 20:25:20 2016  removing 9755475 relations and 7755475 ideals in 2000000 cliques
  91. Sat Jul 23 20:25:23 2016  commencing in-memory singleton removal
  92. Sat Jul 23 20:25:29 2016  begin with 171735036 relations and 131881065 unique ideals
  93. Sat Jul 23 20:26:35 2016  reduce to 171254725 relations and 123639719 ideals in 9 passes
  94. Sat Jul 23 20:26:35 2016  max relations containing the same ideal: 20
  95. Sat Jul 23 20:27:20 2016  removing 8751213 relations and 6751213 ideals in 2000000 cliques
  96. Sat Jul 23 20:27:23 2016  commencing in-memory singleton removal
  97. Sat Jul 23 20:27:29 2016  begin with 162503512 relations and 123639719 unique ideals
  98. Sat Jul 23 20:28:24 2016  reduce to 162095901 relations and 116476183 ideals in 8 passes
  99. Sat Jul 23 20:28:24 2016  max relations containing the same ideal: 20
  100. Sat Jul 23 20:29:08 2016  removing 8160086 relations and 6160086 ideals in 2000000 cliques
  101. Sat Jul 23 20:29:10 2016  commencing in-memory singleton removal
  102. Sat Jul 23 20:29:16 2016  begin with 153935815 relations and 116476183 unique ideals
  103. Sat Jul 23 20:30:13 2016  reduce to 153552688 relations and 109928375 ideals in 9 passes
  104. Sat Jul 23 20:30:13 2016  max relations containing the same ideal: 20
  105. Sat Jul 23 20:30:54 2016  removing 7758486 relations and 5758486 ideals in 2000000 cliques
  106. Sat Jul 23 20:30:57 2016  commencing in-memory singleton removal
  107. Sat Jul 23 20:31:02 2016  begin with 145794202 relations and 109928375 unique ideals
  108. Sat Jul 23 20:31:50 2016  reduce to 145419119 relations and 103790112 ideals in 8 passes
  109. Sat Jul 23 20:31:50 2016  max relations containing the same ideal: 20
  110. Sat Jul 23 20:32:29 2016  removing 7612421 relations and 5612421 ideals in 2000000 cliques
  111. Sat Jul 23 20:32:31 2016  commencing in-memory singleton removal
  112. Sat Jul 23 20:32:36 2016  begin with 137806698 relations and 103790112 unique ideals
  113. Sat Jul 23 20:33:21 2016  reduce to 137456741 relations and 97823293 ideals in 8 passes
  114. Sat Jul 23 20:33:21 2016  max relations containing the same ideal: 20
  115. Sat Jul 23 20:33:57 2016  removing 7313384 relations and 5313384 ideals in 2000000 cliques
  116. Sat Jul 23 20:34:00 2016  commencing in-memory singleton removal
  117. Sat Jul 23 20:34:04 2016  begin with 130143357 relations and 97823293 unique ideals
  118. Sat Jul 23 20:34:46 2016  reduce to 129773401 relations and 92134807 ideals in 8 passes
  119. Sat Jul 23 20:34:46 2016  max relations containing the same ideal: 20
  120. Sat Jul 23 20:35:20 2016  removing 7266716 relations and 5266716 ideals in 2000000 cliques
  121. Sat Jul 23 20:35:23 2016  commencing in-memory singleton removal
  122. Sat Jul 23 20:35:27 2016  begin with 122506685 relations and 92134807 unique ideals
  123. Sat Jul 23 20:36:06 2016  reduce to 122143546 relations and 86499685 ideals in 8 passes
  124. Sat Jul 23 20:36:06 2016  max relations containing the same ideal: 20
  125. Sat Jul 23 20:36:38 2016  removing 7100218 relations and 5100218 ideals in 2000000 cliques
  126. Sat Jul 23 20:36:40 2016  commencing in-memory singleton removal
  127. Sat Jul 23 20:36:44 2016  begin with 115043328 relations and 86499685 unique ideals
  128. Sat Jul 23 20:37:20 2016  reduce to 114670267 relations and 81020705 ideals in 8 passes
  129. Sat Jul 23 20:37:20 2016  max relations containing the same ideal: 20
  130. Sat Jul 23 20:37:50 2016  removing 7022036 relations and 5022036 ideals in 2000000 cliques
  131. Sat Jul 23 20:37:52 2016  commencing in-memory singleton removal
  132. Sat Jul 23 20:37:56 2016  begin with 107648231 relations and 81020705 unique ideals
  133. Sat Jul 23 20:38:33 2016  reduce to 107253740 relations and 75597744 ideals in 9 passes
  134. Sat Jul 23 20:38:33 2016  max relations containing the same ideal: 20
  135. Sat Jul 23 20:39:02 2016  removing 6999673 relations and 4999673 ideals in 2000000 cliques
  136. Sat Jul 23 20:39:04 2016  commencing in-memory singleton removal
  137. Sat Jul 23 20:39:07 2016  begin with 100254067 relations and 75597744 unique ideals
  138. Sat Jul 23 20:39:37 2016  reduce to 99845809 relations and 70182723 ideals in 8 passes
  139. Sat Jul 23 20:39:37 2016  max relations containing the same ideal: 20
  140. Sat Jul 23 20:40:03 2016  removing 6952001 relations and 4952001 ideals in 2000000 cliques
  141. Sat Jul 23 20:40:05 2016  commencing in-memory singleton removal
  142. Sat Jul 23 20:40:08 2016  begin with 92893808 relations and 70182723 unique ideals
  143. Sat Jul 23 20:40:36 2016  reduce to 92473281 relations and 64802225 ideals in 8 passes
  144. Sat Jul 23 20:40:36 2016  max relations containing the same ideal: 20
  145. Sat Jul 23 20:41:00 2016  removing 6914884 relations and 4914884 ideals in 2000000 cliques
  146. Sat Jul 23 20:41:02 2016  commencing in-memory singleton removal
  147. Sat Jul 23 20:41:04 2016  begin with 85558397 relations and 64802225 unique ideals
  148. Sat Jul 23 20:41:29 2016  reduce to 85121541 relations and 59441687 ideals in 8 passes
  149. Sat Jul 23 20:41:29 2016  max relations containing the same ideal: 19
  150. Sat Jul 23 20:41:51 2016  removing 6794462 relations and 4794462 ideals in 2000000 cliques
  151. Sat Jul 23 20:41:53 2016  commencing in-memory singleton removal
  152. Sat Jul 23 20:41:55 2016  begin with 78327079 relations and 59441687 unique ideals
  153. Sat Jul 23 20:42:20 2016  reduce to 77770357 relations and 54077610 ideals in 9 passes
  154. Sat Jul 23 20:42:20 2016  max relations containing the same ideal: 18
  155. Sat Jul 23 20:42:40 2016  removing 6957758 relations and 4957758 ideals in 2000000 cliques
  156. Sat Jul 23 20:42:42 2016  commencing in-memory singleton removal
  157. Sat Jul 23 20:42:44 2016  begin with 70812599 relations and 54077610 unique ideals
  158. Sat Jul 23 20:43:04 2016  reduce to 70279964 relations and 48574090 ideals in 8 passes
  159. Sat Jul 23 20:43:04 2016  max relations containing the same ideal: 18
  160. Sat Jul 23 20:43:22 2016  removing 6896690 relations and 4896690 ideals in 2000000 cliques
  161. Sat Jul 23 20:43:23 2016  commencing in-memory singleton removal
  162. Sat Jul 23 20:43:25 2016  begin with 63383274 relations and 48574090 unique ideals
  163. Sat Jul 23 20:43:46 2016  reduce to 62783375 relations and 43061435 ideals in 10 passes
  164. Sat Jul 23 20:43:46 2016  max relations containing the same ideal: 17
  165. Sat Jul 23 20:44:02 2016  removing 1486918 relations and 1099758 ideals in 387160 cliques
  166. Sat Jul 23 20:44:03 2016  commencing in-memory singleton removal
  167. Sat Jul 23 20:44:04 2016  begin with 61296457 relations and 43061435 unique ideals
  168. Sat Jul 23 20:44:19 2016  reduce to 61248791 relations and 41913696 ideals in 7 passes
  169. Sat Jul 23 20:44:19 2016  max relations containing the same ideal: 17
  170. Sat Jul 23 20:44:36 2016  relations with 0 large ideals: 3995759
  171. Sat Jul 23 20:44:36 2016  relations with 1 large ideals: 16299135
  172. Sat Jul 23 20:44:36 2016  relations with 2 large ideals: 24898212
  173. Sat Jul 23 20:44:36 2016  relations with 3 large ideals: 13322821
  174. Sat Jul 23 20:44:36 2016  relations with 4 large ideals: 2439301
  175. Sat Jul 23 20:44:36 2016  relations with 5 large ideals: 151945
  176. Sat Jul 23 20:44:36 2016  relations with 6 large ideals: 95472
  177. Sat Jul 23 20:44:36 2016  relations with 7+ large ideals: 46146
  178. Sat Jul 23 20:44:36 2016  commencing 2-way merge
  179. Sat Jul 23 20:44:57 2016  reduce to 35610659 relation sets and 16275564 unique ideals
  180. Sat Jul 23 20:44:57 2016  commencing full merge
  181. Sat Jul 23 20:47:01 2016  memory use: 1611.4 MB
  182. Sat Jul 23 20:47:04 2016  found 18665216 cycles, need 16668113
  183. Sat Jul 23 20:47:06 2016  weight of 16668113 cycles is about 1559980274 (93.59/cycle)
  184. Sat Jul 23 20:47:06 2016  distribution of cycle lengths:
  185. Sat Jul 23 20:47:06 2016  1 relations: 3995759
  186. Sat Jul 23 20:47:06 2016  2 relations: 1664156
  187. Sat Jul 23 20:47:06 2016  3 relations: 1239962
  188. Sat Jul 23 20:47:06 2016  4 relations: 1035603
  189. Sat Jul 23 20:47:06 2016  5 relations: 942549
  190. Sat Jul 23 20:47:06 2016  6 relations: 869523
  191. Sat Jul 23 20:47:06 2016  7 relations: 824661
  192. Sat Jul 23 20:47:06 2016  8 relations: 775777
  193. Sat Jul 23 20:47:06 2016  9 relations: 735146
  194. Sat Jul 23 20:47:06 2016  10+ relations: 4584977
  195. Sat Jul 23 20:47:06 2016  heaviest cycle: 23 relations
  196. Sat Jul 23 20:47:06 2016  commencing cycle optimization
  197. Sat Jul 23 20:47:27 2016  start with 105769212 relations
  198. Sat Jul 23 20:50:36 2016  pruned 9499943 relations
  199. Sat Jul 23 20:50:36 2016  memory use: 3029.7 MB
  200. Sat Jul 23 20:50:36 2016  distribution of cycle lengths:
  201. Sat Jul 23 20:50:36 2016  1 relations: 3995759
  202. Sat Jul 23 20:50:36 2016  2 relations: 1721703
  203. Sat Jul 23 20:50:36 2016  3 relations: 1315177
  204. Sat Jul 23 20:50:36 2016  4 relations: 1117528
  205. Sat Jul 23 20:50:36 2016  5 relations: 1044919
  206. Sat Jul 23 20:50:36 2016  6 relations: 984462
  207. Sat Jul 23 20:50:36 2016  7 relations: 952596
  208. Sat Jul 23 20:50:36 2016  8 relations: 899943
  209. Sat Jul 23 20:50:36 2016  9 relations: 851061
  210. Sat Jul 23 20:50:36 2016  10+ relations: 3784965
  211. Sat Jul 23 20:50:36 2016  heaviest cycle: 22 relations
  212. Sat Jul 23 20:51:03 2016  RelProcTime: 14445
  213. Sat Jul 23 20:51:03 2016  
  214. Sat Jul 23 20:51:03 2016  commencing linear algebra
  215. Sat Jul 23 20:51:06 2016  read 16668113 cycles
  216. Sat Jul 23 20:51:31 2016  cycles contain 50386598 unique relations
  217. Sat Jul 23 21:02:12 2016  read 50386598 relations
  218. Sat Jul 23 21:03:30 2016  using 20 quadratic characters above 4294917296
  219. Sat Jul 23 21:07:27 2016  building initial matrix
  220. Sat Jul 23 21:15:57 2016  memory use: 6362.5 MB
  221. Sat Jul 23 21:16:43 2016  read 16668113 cycles
  222. Sat Jul 23 21:16:47 2016  matrix is 16666542 x 16668113 (5894.8 MB) with weight 1685537094 (101.12/col)
  223. Sat Jul 23 21:16:47 2016  sparse part has weight 1361943314 (81.71/col)
  224. Sat Jul 23 21:21:26 2016  filtering completed in 3 passes
  225. Sat Jul 23 21:21:30 2016  matrix is 16627751 x 16627951 (5887.2 MB) with weight 1683261041 (101.23/col)
  226. Sat Jul 23 21:21:30 2016  sparse part has weight 1360389498 (81.81/col)
  227. Sat Jul 23 21:23:19 2016  matrix starts at (0, 0)
  228. Sat Jul 23 21:23:23 2016  matrix is 16627751 x 16627951 (5887.2 MB) with weight 1683261041 (101.23/col)
  229. Sat Jul 23 21:23:23 2016  sparse part has weight 1360389498 (81.81/col)
  230. Sat Jul 23 21:23:23 2016  saving the first 48 matrix rows for later
  231. Sat Jul 23 21:23:28 2016  matrix includes 64 packed rows
  232. Sat Jul 23 21:23:30 2016  matrix is 16627703 x 16627951 (5644.0 MB) with weight 1408430350 (84.70/col)
  233. Sat Jul 23 21:23:30 2016  sparse part has weight 1313266055 (78.98/col)
  234. Sat Jul 23 21:23:30 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  235. Sat Jul 23 21:24:58 2016  commencing Lanczos iteration (4 threads)
  236. Sat Jul 23 21:24:58 2016  memory use: 4772.9 MB
  237. Sat Jul 23 21:26:25 2016  linear algebra at 0.0%, ETA 253h 1m
  238. Sat Jul 23 21:26:54 2016  checkpointing every 70000 dimensions
  239. Wed Aug 03 23:16:58 2016  lanczos halted after 262957 iterations (dim = 16627702)
  240. Wed Aug 03 23:17:53 2016  recovered 40 nontrivial dependencies
  241. Wed Aug 03 23:18:08 2016  BLanczosTime: 959225
  242. Wed Aug 03 23:18:08 2016  
  243. Wed Aug 03 23:18:08 2016  commencing square root phase
  244. Wed Aug 03 23:18:08 2016  handling dependencies 1 to 64
  245. Wed Aug 03 23:18:08 2016  reading relations for dependency 1
  246. Wed Aug 03 23:18:13 2016  read 8313766 cycles
  247. Wed Aug 03 23:18:25 2016  cycles contain 25167570 unique relations
  248. Wed Aug 03 23:25:41 2016  read 25167570 relations
  249. Wed Aug 03 23:29:00 2016  multiplying 25167570 relations
  250. Thu Aug 04 00:00:50 2016  multiply complete, coefficients have about 819.60 million bits
  251. Thu Aug 04 00:01:00 2016  initial square root is modulo 22546219
  252. Thu Aug 04 00:38:59 2016  GCD is 1, no factor found
  253. Thu Aug 04 00:38:59 2016  reading relations for dependency 2
  254. Thu Aug 04 00:39:03 2016  read 8310631 cycles
  255. Thu Aug 04 00:39:15 2016  cycles contain 25165728 unique relations
  256. Thu Aug 04 00:46:30 2016  read 25165728 relations
  257. Thu Aug 04 00:49:49 2016  multiplying 25165728 relations
  258. Thu Aug 04 01:21:41 2016  multiply complete, coefficients have about 819.56 million bits
  259. Thu Aug 04 01:21:51 2016  initial square root is modulo 22524511
  260. Thu Aug 04 02:00:19 2016  sqrtTime: 9731
  261. Thu Aug 04 02:00:19 2016  prp71 factor: 75198255978274182604282627956805148075868818423819981744680610362388929
  262. Thu Aug 04 02:00:19 2016  prp179 factor: 40642805929444545985287985819650393191663096209229751013510698959738319445334027303141883822644932365263504773885704436396290113288879510450122713069678807294865208486884132930333
  263. Thu Aug 04 02:00:19 2016  elapsed time 273:10:03
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