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  1. Mon Mar 16 11:47:34 2015  Msieve v. 1.52 (SVN 959)
  2. Mon Mar 16 11:47:34 2015  random seeds: 223bccb1 b2074419
  3. Mon Mar 16 11:47:34 2015  factoring 29621471102867705507386462309446841750865522724118922651889070299046158412510024763015687448933801627670263125498214505111758618861234036066925735326951612366634780687083870987533479775972316708370133 (200 digits)
  4. Mon Mar 16 11:47:35 2015  no P-1/P+1/ECM available, skipping
  5. Mon Mar 16 11:47:35 2015  commencing number field sieve (200-digit input)
  6. Mon Mar 16 11:47:35 2015  R0: -10889035741470030830827987437816582766592
  7. Mon Mar 16 11:47:35 2015  R1: 1
  8. Mon Mar 16 11:47:35 2015  A0: -1
  9. Mon Mar 16 11:47:35 2015  A1: 0
  10. Mon Mar 16 11:47:35 2015  A2: 0
  11. Mon Mar 16 11:47:35 2015  A3: 0
  12. Mon Mar 16 11:47:35 2015  A4: 0
  13. Mon Mar 16 11:47:35 2015  A5: 0
  14. Mon Mar 16 11:47:35 2015  A6: 6408
  15. Mon Mar 16 11:47:35 2015  skew 1.00, size 3.514e-12, alpha 0.189, combined = 2.790e-13 rroots = 2
  16. Mon Mar 16 11:47:35 2015  
  17. Mon Mar 16 11:47:35 2015  commencing relation filtering
  18. Mon Mar 16 11:47:35 2015  setting target matrix density to 120.0
  19. Mon Mar 16 11:47:35 2015  estimated available RAM is 16009.0 MB
  20. Mon Mar 16 11:47:35 2015  commencing duplicate removal, pass 1
  21. Mon Mar 16 11:48:32 2015  error -9 reading relation 5506560
  22. Mon Mar 16 11:48:33 2015  error -15 reading relation 5634306
  23. Mon Mar 16 11:48:34 2015  error -15 reading relation 5666026
  24. Mon Mar 16 11:48:34 2015  error -9 reading relation 5700431
  25. Mon Mar 16 11:49:34 2015  error -15 reading relation 11688466
  26. Mon Mar 16 11:53:12 2015  error -9 reading relation 33392211
  27. Mon Mar 16 11:58:22 2015  error -9 reading relation 63984106
  28. Mon Mar 16 12:00:19 2015  error -9 reading relation 75486187
  29. Mon Mar 16 12:00:24 2015  error -9 reading relation 75973971
  30. Mon Mar 16 12:00:45 2015  error -9 reading relation 78106593
  31. Mon Mar 16 12:00:46 2015  error -15 reading relation 78215301
  32. Mon Mar 16 12:00:47 2015  error -9 reading relation 78265087
  33. Mon Mar 16 12:00:47 2015  error -9 reading relation 78266239
  34. Mon Mar 16 12:06:32 2015  error -15 reading relation 111802128
  35. Mon Mar 16 12:06:32 2015  error -1 reading relation 111817944
  36. Mon Mar 16 12:06:33 2015  error -9 reading relation 111903951
  37. Mon Mar 16 12:06:33 2015  error -9 reading relation 111920208
  38. Mon Mar 16 12:06:36 2015  error -9 reading relation 112221993
  39. Mon Mar 16 12:06:36 2015  error -15 reading relation 112238699
  40. Mon Mar 16 12:06:39 2015  error -15 reading relation 112467957
  41. Mon Mar 16 12:06:39 2015  error -15 reading relation 112484415
  42. Mon Mar 16 12:10:18 2015  error -15 reading relation 134189092
  43. Mon Mar 16 12:10:53 2015  error -15 reading relation 137695957
  44. Mon Mar 16 12:11:35 2015  error -5 reading relation 141881717
  45. Mon Mar 16 12:12:12 2015  error -1 reading relation 145581389
  46. Mon Mar 16 12:12:12 2015  error -9 reading relation 145582534
  47. Mon Mar 16 12:12:22 2015  error -15 reading relation 146654793
  48. Mon Mar 16 12:12:50 2015  error -9 reading relation 149550830
  49. Mon Mar 16 12:12:50 2015  error -9 reading relation 149582748
  50. Mon Mar 16 12:13:07 2015  error -5 reading relation 151296168
  51. Mon Mar 16 12:13:07 2015  error -15 reading relation 151301064
  52. Mon Mar 16 12:13:41 2015  error -9 reading relation 154955068
  53. Mon Mar 16 12:13:48 2015  error -15 reading relation 155729427
  54. Mon Mar 16 12:13:53 2015  error -9 reading relation 156172950
  55. Mon Mar 16 12:14:05 2015  error -1 reading relation 157492334
  56. Mon Mar 16 12:14:06 2015  error -1 reading relation 157514372
  57. Mon Mar 16 12:14:07 2015  error -15 reading relation 157611493
  58. Mon Mar 16 12:14:08 2015  error -15 reading relation 157702896
  59. Mon Mar 16 12:14:31 2015  error -15 reading relation 160089828
  60. Mon Mar 16 12:14:31 2015  error -15 reading relation 160099321
  61. Mon Mar 16 12:15:09 2015  error -15 reading relation 163890711
  62. Mon Mar 16 12:15:10 2015  error -1 reading relation 163961326
  63. Mon Mar 16 12:16:06 2015  error -15 reading relation 169049024
  64. Mon Mar 16 12:16:57 2015  error -9 reading relation 174137721
  65. Mon Mar 16 12:17:08 2015  error -15 reading relation 175412787
  66. Mon Mar 16 12:17:08 2015  error -9 reading relation 175422862
  67. Mon Mar 16 12:17:08 2015  error -15 reading relation 175462950
  68. Mon Mar 16 12:17:09 2015  error -9 reading relation 175480457
  69. Mon Mar 16 12:17:09 2015  error -15 reading relation 175501174
  70. Mon Mar 16 12:17:09 2015  error -15 reading relation 175523334
  71. Mon Mar 16 12:17:09 2015  error -5 reading relation 175568831
  72. Mon Mar 16 12:17:10 2015  error -5 reading relation 175610181
  73. Mon Mar 16 12:17:53 2015  error -11 reading relation 179987994
  74. Mon Mar 16 12:18:19 2015  error -15 reading relation 182659991
  75. Mon Mar 16 12:18:20 2015  error -9 reading relation 182737666
  76. Mon Mar 16 12:18:21 2015  error -15 reading relation 182930130
  77. Mon Mar 16 12:18:30 2015  error -9 reading relation 183805168
  78. Mon Mar 16 12:21:36 2015  error -5 reading relation 202424008
  79. Mon Mar 16 12:21:39 2015  error -15 reading relation 202833365
  80. Mon Mar 16 12:21:46 2015  error -9 reading relation 203503974
  81. Mon Mar 16 12:21:46 2015  error -1 reading relation 203513721
  82. Mon Mar 16 12:21:46 2015  error -15 reading relation 203514251
  83. Mon Mar 16 12:21:54 2015  error -15 reading relation 204238200
  84. Mon Mar 16 12:21:54 2015  error -1 reading relation 204287191
  85. Mon Mar 16 12:21:55 2015  error -5 reading relation 204390137
  86. Mon Mar 16 12:21:55 2015  error -15 reading relation 204396853
  87. Mon Mar 16 12:22:04 2015  error -15 reading relation 205426279
  88. Mon Mar 16 12:22:29 2015  error -15 reading relation 207891440
  89. Mon Mar 16 12:24:36 2015  error -15 reading relation 222851001
  90. Mon Mar 16 12:24:37 2015  skipped 639 relations with b > 2^32
  91. Mon Mar 16 12:24:37 2015  found 44524611 hash collisions in 222949583 relations
  92. Mon Mar 16 12:24:53 2015  added 1218368 free relations
  93. Mon Mar 16 12:24:53 2015  commencing duplicate removal, pass 2
  94. Mon Mar 16 12:37:22 2015  found 44359495 duplicates and 179808456 unique relations
  95. Mon Mar 16 12:37:22 2015  memory use: 1321.5 MB
  96. Mon Mar 16 12:37:22 2015  reading ideals above 161939456
  97. Mon Mar 16 12:37:22 2015  commencing singleton removal, initial pass
  98. Mon Mar 16 13:13:23 2015  memory use: 3012.0 MB
  99. Mon Mar 16 13:13:23 2015  reading all ideals from disk
  100. Mon Mar 16 13:14:03 2015  memory use: 2987.6 MB
  101. Mon Mar 16 13:14:09 2015  commencing in-memory singleton removal
  102. Mon Mar 16 13:14:16 2015  begin with 179808456 relations and 153660907 unique ideals
  103. Mon Mar 16 13:15:23 2015  reduce to 107118157 relations and 72577633 ideals in 15 passes
  104. Mon Mar 16 13:15:23 2015  max relations containing the same ideal: 32
  105. Mon Mar 16 13:15:29 2015  reading ideals above 720000
  106. Mon Mar 16 13:15:29 2015  commencing singleton removal, initial pass
  107. Mon Mar 16 13:44:58 2015  memory use: 2756.0 MB
  108. Mon Mar 16 13:44:58 2015  reading all ideals from disk
  109. Mon Mar 16 13:45:59 2015  memory use: 4198.7 MB
  110. Mon Mar 16 13:46:11 2015  keeping 90181749 ideals with weight <= 200, target excess is 545507
  111. Mon Mar 16 13:46:23 2015  commencing in-memory singleton removal
  112. Mon Mar 16 13:46:33 2015  begin with 107118157 relations and 90181749 unique ideals
  113. Mon Mar 16 13:48:11 2015  reduce to 107100013 relations and 90163600 ideals in 9 passes
  114. Mon Mar 16 13:48:11 2015  max relations containing the same ideal: 200
  115. Mon Mar 16 13:49:09 2015  removing 11592305 relations and 9592305 ideals in 2000000 cliques
  116. Mon Mar 16 13:49:13 2015  commencing in-memory singleton removal
  117. Mon Mar 16 13:49:28 2015  begin with 95507708 relations and 90163600 unique ideals
  118. Mon Mar 16 13:52:36 2015  reduce to 94591950 relations and 79633878 ideals in 9 passes
  119. Mon Mar 16 13:52:36 2015  max relations containing the same ideal: 195
  120. Mon Mar 16 13:53:42 2015  removing 8773336 relations and 6773336 ideals in 2000000 cliques
  121. Mon Mar 16 13:53:45 2015  commencing in-memory singleton removal
  122. Mon Mar 16 13:53:53 2015  begin with 85818614 relations and 79633878 unique ideals
  123. Mon Mar 16 13:54:54 2015  reduce to 85201942 relations and 72230875 ideals in 8 passes
  124. Mon Mar 16 13:54:54 2015  max relations containing the same ideal: 185
  125. Mon Mar 16 13:55:34 2015  removing 7933444 relations and 5933444 ideals in 2000000 cliques
  126. Mon Mar 16 13:55:37 2015  commencing in-memory singleton removal
  127. Mon Mar 16 13:55:44 2015  begin with 77268498 relations and 72230875 unique ideals
  128. Mon Mar 16 13:56:38 2015  reduce to 76714859 relations and 65731673 ideals in 8 passes
  129. Mon Mar 16 13:56:38 2015  max relations containing the same ideal: 171
  130. Mon Mar 16 13:57:15 2015  removing 7505523 relations and 5505523 ideals in 2000000 cliques
  131. Mon Mar 16 13:57:18 2015  commencing in-memory singleton removal
  132. Mon Mar 16 13:57:25 2015  begin with 69209336 relations and 65731673 unique ideals
  133. Mon Mar 16 13:58:06 2015  reduce to 68674837 relations and 59679374 ideals in 7 passes
  134. Mon Mar 16 13:58:06 2015  max relations containing the same ideal: 160
  135. Mon Mar 16 13:58:39 2015  removing 7243636 relations and 5243636 ideals in 2000000 cliques
  136. Mon Mar 16 13:58:41 2015  commencing in-memory singleton removal
  137. Mon Mar 16 13:58:47 2015  begin with 61431201 relations and 59679374 unique ideals
  138. Mon Mar 16 13:59:34 2015  reduce to 60889907 relations and 53880645 ideals in 9 passes
  139. Mon Mar 16 13:59:34 2015  max relations containing the same ideal: 147
  140. Mon Mar 16 14:00:03 2015  removing 7063382 relations and 5063382 ideals in 2000000 cliques
  141. Mon Mar 16 14:00:06 2015  commencing in-memory singleton removal
  142. Mon Mar 16 14:00:10 2015  begin with 53826525 relations and 53880645 unique ideals
  143. Mon Mar 16 14:00:51 2015  reduce to 53261024 relations and 48235912 ideals in 9 passes
  144. Mon Mar 16 14:00:51 2015  max relations containing the same ideal: 135
  145. Mon Mar 16 14:01:16 2015  removing 6941705 relations and 4941705 ideals in 2000000 cliques
  146. Mon Mar 16 14:01:19 2015  commencing in-memory singleton removal
  147. Mon Mar 16 14:01:23 2015  begin with 46319319 relations and 48235912 unique ideals
  148. Mon Mar 16 14:01:50 2015  reduce to 45704940 relations and 42660054 ideals in 7 passes
  149. Mon Mar 16 14:01:50 2015  max relations containing the same ideal: 122
  150. Mon Mar 16 14:02:11 2015  removing 6856000 relations and 4856000 ideals in 2000000 cliques
  151. Mon Mar 16 14:02:13 2015  commencing in-memory singleton removal
  152. Mon Mar 16 14:02:17 2015  begin with 38848940 relations and 42660054 unique ideals
  153. Mon Mar 16 14:02:49 2015  reduce to 38144615 relations and 37073222 ideals in 10 passes
  154. Mon Mar 16 14:02:49 2015  max relations containing the same ideal: 110
  155. Mon Mar 16 14:03:09 2015  removing 2033507 relations and 1594903 ideals in 438604 cliques
  156. Mon Mar 16 14:03:10 2015  commencing in-memory singleton removal
  157. Mon Mar 16 14:03:14 2015  begin with 36111108 relations and 37073222 unique ideals
  158. Mon Mar 16 14:03:35 2015  reduce to 36039535 relations and 35406044 ideals in 7 passes
  159. Mon Mar 16 14:03:35 2015  max relations containing the same ideal: 104
  160. Mon Mar 16 14:03:58 2015  relations with 0 large ideals: 20819
  161. Mon Mar 16 14:03:58 2015  relations with 1 large ideals: 5956
  162. Mon Mar 16 14:03:58 2015  relations with 2 large ideals: 82658
  163. Mon Mar 16 14:03:58 2015  relations with 3 large ideals: 614921
  164. Mon Mar 16 14:03:58 2015  relations with 4 large ideals: 2497693
  165. Mon Mar 16 14:03:58 2015  relations with 5 large ideals: 6077714
  166. Mon Mar 16 14:03:58 2015  relations with 6 large ideals: 9258985
  167. Mon Mar 16 14:03:58 2015  relations with 7+ large ideals: 17480789
  168. Mon Mar 16 14:03:58 2015  commencing 2-way merge
  169. Mon Mar 16 14:04:21 2015  reduce to 23660717 relation sets and 23027226 unique ideals
  170. Mon Mar 16 14:04:21 2015  commencing full merge
  171. Mon Mar 16 14:14:43 2015  memory use: 3086.5 MB
  172. Mon Mar 16 14:14:45 2015  found 10617616 cycles, need 10611426
  173. Mon Mar 16 14:14:48 2015  weight of 10611426 cycles is about 1274074248 (120.07/cycle)
  174. Mon Mar 16 14:14:48 2015  distribution of cycle lengths:
  175. Mon Mar 16 14:14:48 2015  1 relations: 427580
  176. Mon Mar 16 14:14:48 2015  2 relations: 619184
  177. Mon Mar 16 14:14:48 2015  3 relations: 730752
  178. Mon Mar 16 14:14:48 2015  4 relations: 759312
  179. Mon Mar 16 14:14:48 2015  5 relations: 774199
  180. Mon Mar 16 14:14:48 2015  6 relations: 767230
  181. Mon Mar 16 14:14:48 2015  7 relations: 750758
  182. Mon Mar 16 14:14:48 2015  8 relations: 720030
  183. Mon Mar 16 14:14:48 2015  9 relations: 677359
  184. Mon Mar 16 14:14:48 2015  10+ relations: 4385022
  185. Mon Mar 16 14:14:48 2015  heaviest cycle: 28 relations
  186. Mon Mar 16 14:14:51 2015  commencing cycle optimization
  187. Mon Mar 16 14:15:11 2015  start with 96461491 relations
  188. Mon Mar 16 14:19:16 2015  pruned 4440537 relations
  189. Mon Mar 16 14:19:16 2015  memory use: 2495.6 MB
  190. Mon Mar 16 14:19:16 2015  distribution of cycle lengths:
  191. Mon Mar 16 14:19:16 2015  1 relations: 427580
  192. Mon Mar 16 14:19:16 2015  2 relations: 634233
  193. Mon Mar 16 14:19:16 2015  3 relations: 761596
  194. Mon Mar 16 14:19:16 2015  4 relations: 791109
  195. Mon Mar 16 14:19:16 2015  5 relations: 811789
  196. Mon Mar 16 14:19:16 2015  6 relations: 803371
  197. Mon Mar 16 14:19:16 2015  7 relations: 789535
  198. Mon Mar 16 14:19:16 2015  8 relations: 753733
  199. Mon Mar 16 14:19:16 2015  9 relations: 709721
  200. Mon Mar 16 14:19:16 2015  10+ relations: 4128759
  201. Mon Mar 16 14:19:16 2015  heaviest cycle: 28 relations
  202. Mon Mar 16 14:19:38 2015  RelProcTime: 9123
  203. Mon Mar 16 14:19:38 2015  
  204. Mon Mar 16 14:19:38 2015  commencing linear algebra
  205. Mon Mar 16 14:19:39 2015  read 10611426 cycles
  206. Mon Mar 16 14:20:02 2015  cycles contain 35703537 unique relations
  207. Mon Mar 16 14:36:22 2015  read 35703537 relations
  208. Mon Mar 16 14:37:38 2015  using 20 quadratic characters above 2147483424
  209. Mon Mar 16 14:40:00 2015  building initial matrix
  210. Mon Mar 16 14:47:53 2015  memory use: 4754.4 MB
  211. Mon Mar 16 14:48:32 2015  read 10611426 cycles
  212. Mon Mar 16 14:48:33 2015  matrix is 10611249 x 10611426 (4978.4 MB) with weight 1459742156 (137.56/col)
  213. Mon Mar 16 14:48:33 2015  sparse part has weight 1188331052 (111.99/col)
  214. Mon Mar 16 14:50:57 2015  filtering completed in 2 passes
  215. Mon Mar 16 14:50:59 2015  matrix is 10611200 x 10611377 (4978.4 MB) with weight 1459740556 (137.56/col)
  216. Mon Mar 16 14:50:59 2015  sparse part has weight 1188330698 (111.99/col)
  217. Mon Mar 16 14:52:29 2015  matrix starts at (0, 0)
  218. Mon Mar 16 14:52:31 2015  matrix is 10611200 x 10611377 (4978.4 MB) with weight 1459740556 (137.56/col)
  219. Mon Mar 16 14:52:31 2015  sparse part has weight 1188330698 (111.99/col)
  220. Mon Mar 16 14:52:31 2015  saving the first 48 matrix rows for later
  221. Mon Mar 16 14:52:33 2015  matrix includes 64 packed rows
  222. Mon Mar 16 14:52:34 2015  matrix is 10611152 x 10611377 (4814.3 MB) with weight 1251876723 (117.97/col)
  223. Mon Mar 16 14:52:34 2015  sparse part has weight 1155923555 (108.93/col)
  224. Mon Mar 16 14:52:34 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  225. Mon Mar 16 14:53:23 2015  commencing Lanczos iteration (3 threads)
  226. Mon Mar 16 14:53:23 2015  memory use: 4103.4 MB
  227. Mon Mar 16 14:54:35 2015  linear algebra at 0.0%, ETA 133h52m
  228. Mon Mar 16 14:54:59 2015  checkpointing every 80000 dimensions
  229. Sat Mar 21 22:46:02 2015  lanczos halted after 167801 iterations (dim = 10611147)
  230. Sat Mar 21 22:46:47 2015  recovered 34 nontrivial dependencies
  231. Sat Mar 21 22:46:47 2015  BLanczosTime: 462429
  232. Sat Mar 21 22:46:47 2015  
  233. Sat Mar 21 22:46:47 2015  commencing square root phase
  234. Sat Mar 21 22:46:47 2015  handling dependencies 1 to 64
  235. Sat Mar 21 22:46:47 2015  reading relations for dependency 1
  236. Sat Mar 21 22:46:52 2015  read 5303675 cycles
  237. Sat Mar 21 22:47:02 2015  cycles contain 17853028 unique relations
  238. Sat Mar 21 23:08:37 2015  read 17853028 relations
  239. Sat Mar 21 23:09:54 2015  multiplying 17853028 relations
  240. Sat Mar 21 23:30:32 2015  multiply complete, coefficients have about 652.13 million bits
  241. Sat Mar 21 23:30:34 2015  initial square root is modulo 708913
  242. Sat Mar 21 23:51:15 2015  GCD is N, no factor found
  243. Sat Mar 21 23:51:15 2015  reading relations for dependency 2
  244. Sat Mar 21 23:51:21 2015  read 5303778 cycles
  245. Sat Mar 21 23:51:31 2015  cycles contain 17849502 unique relations
  246. Sun Mar 22 00:13:23 2015  read 17849502 relations
  247. Sun Mar 22 00:14:41 2015  multiplying 17849502 relations
  248. Sun Mar 22 00:35:18 2015  multiply complete, coefficients have about 651.99 million bits
  249. Sun Mar 22 00:35:20 2015  initial square root is modulo 706897
  250. Sun Mar 22 00:56:00 2015  GCD is N, no factor found
  251. Sun Mar 22 00:56:00 2015  reading relations for dependency 3
  252. Sun Mar 22 00:56:06 2015  read 5303911 cycles
  253. Sun Mar 22 00:56:16 2015  cycles contain 17849188 unique relations
  254. Sun Mar 22 01:18:09 2015  read 17849188 relations
  255. Sun Mar 22 01:19:27 2015  multiplying 17849188 relations
  256. Sun Mar 22 01:40:03 2015  multiply complete, coefficients have about 651.98 million bits
  257. Sun Mar 22 01:40:05 2015  initial square root is modulo 706837
  258. Sun Mar 22 02:00:49 2015  sqrtTime: 11642
  259. Sun Mar 22 02:00:49 2015  prp93 factor: 322315123181915982678455246363591001924366103012079762983522055269979764703945250066560591633
  260. Sun Mar 22 02:00:49 2015  prp107 factor: 91902206792044397024749911243343725046657934807466686023659584354269770146758317992364417334529875522714501
  261. Sun Mar 22 02:00:49 2015  elapsed time 134:13:15
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