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10321_61_minus1

CarlosPinho May 31st, 2016 55 Never
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  1. Sat Aug 15 23:12:56 2015  
  2. Sat Aug 15 23:12:56 2015  
  3. Sat Aug 15 23:12:56 2015  Msieve v. 1.53 (SVN unknown)
  4. Sat Aug 15 23:12:56 2015  random seeds: 75a25b22 6a036da3
  5. Sat Aug 15 23:12:56 2015  factoring 6658076239613758950915524939198288955783683171397942327807629099527545087271650487466150430581130469089790390110096398024807238090003598094244693462311087169048556523301024126311029463945051279034530321244831402923146177197786460454022021661 (241 digits)
  6. Sat Aug 15 23:12:58 2015  searching for 15-digit factors
  7. Sat Aug 15 23:12:59 2015  commencing number field sieve (241-digit input)
  8. Sat Aug 15 23:12:59 2015  R0: -13715693783991931993298348419194900871201
  9. Sat Aug 15 23:12:59 2015  R1: 1
  10. Sat Aug 15 23:12:59 2015  A0: -1
  11. Sat Aug 15 23:12:59 2015  A1: 0
  12. Sat Aug 15 23:12:59 2015  A2: 0
  13. Sat Aug 15 23:12:59 2015  A3: 0
  14. Sat Aug 15 23:12:59 2015  A4: 0
  15. Sat Aug 15 23:12:59 2015  A5: 0
  16. Sat Aug 15 23:12:59 2015  A6: 10321
  17. Sat Aug 15 23:12:59 2015  skew 1.00, size 4.164e-12, alpha -0.914, combined = 3.103e-13 rroots = 2
  18. Sat Aug 15 23:12:59 2015  
  19. Sat Aug 15 23:12:59 2015  commencing relation filtering
  20. Sat Aug 15 23:12:59 2015  setting target matrix density to 124.0
  21. Sat Aug 15 23:12:59 2015  estimated available RAM is 16029.9 MB
  22. Sat Aug 15 23:12:59 2015  commencing duplicate removal, pass 1
  23. Sat Aug 15 23:15:49 2015  error -9 reading relation 24224303
  24. Sat Aug 15 23:19:00 2015  error -9 reading relation 51826206
  25. Sat Aug 15 23:23:15 2015  error -1 reading relation 88780930
  26. Sat Aug 15 23:23:48 2015  error -9 reading relation 93500281
  27. Sat Aug 15 23:23:49 2015  error -9 reading relation 93669454
  28. Sat Aug 15 23:23:51 2015  error -15 reading relation 93953095
  29. Sat Aug 15 23:25:03 2015  error -9 reading relation 104386281
  30. Sat Aug 15 23:25:05 2015  error -5 reading relation 104686236
  31. Sat Aug 15 23:25:16 2015  error -9 reading relation 106238341
  32. Sat Aug 15 23:25:31 2015  error -15 reading relation 108481800
  33. Sat Aug 15 23:25:42 2015  error -9 reading relation 110068550
  34. Sat Aug 15 23:25:45 2015  error -1 reading relation 110529554
  35. Sat Aug 15 23:25:45 2015  error -9 reading relation 110578877
  36. Sat Aug 15 23:25:47 2015  error -9 reading relation 110758848
  37. Sat Aug 15 23:26:03 2015  error -9 reading relation 113126849
  38. Sat Aug 15 23:29:30 2015  error -15 reading relation 142855047
  39. Sat Aug 15 23:31:18 2015  error -15 reading relation 158231241
  40. Sat Aug 15 23:31:18 2015  error -9 reading relation 158237661
  41. Sat Aug 15 23:31:18 2015  error -9 reading relation 158238929
  42. Sat Aug 15 23:31:20 2015  error -9 reading relation 158492169
  43. Sat Aug 15 23:31:20 2015  error -5 reading relation 158498804
  44. Sat Aug 15 23:31:20 2015  error -9 reading relation 158499971
  45. Sat Aug 15 23:36:32 2015  error -9 reading relation 202980570
  46. Sat Aug 15 23:36:36 2015  error -11 reading relation 203523002
  47. Sat Aug 15 23:36:41 2015  error -9 reading relation 204164343
  48. Sat Aug 15 23:37:15 2015  error -15 reading relation 209110599
  49. Sat Aug 15 23:37:48 2015  error -9 reading relation 213760562
  50. Sat Aug 15 23:37:52 2015  error -9 reading relation 214194644
  51. Sat Aug 15 23:37:57 2015  error -9 reading relation 214989572
  52. Sat Aug 15 23:38:27 2015  error -1 reading relation 219349834
  53. Sat Aug 15 23:38:27 2015  error -5 reading relation 219349836
  54. Sat Aug 15 23:38:43 2015  error -9 reading relation 221560946
  55. Sat Aug 15 23:38:49 2015  error -9 reading relation 222430766
  56. Sat Aug 15 23:38:56 2015  error -9 reading relation 223501382
  57. Sat Aug 15 23:39:22 2015  skipped 608 relations with b > 2^32
  58. Sat Aug 15 23:39:22 2015  skipped 24 relations with composite factors
  59. Sat Aug 15 23:39:22 2015  found 43900167 hash collisions in 227118738 relations
  60. Sat Aug 15 23:39:36 2015  added 1216712 free relations
  61. Sat Aug 15 23:39:36 2015  commencing duplicate removal, pass 2
  62. Sat Aug 15 23:43:16 2015  found 42980216 duplicates and 185355234 unique relations
  63. Sat Aug 15 23:43:16 2015  memory use: 1321.5 MB
  64. Sat Aug 15 23:43:16 2015  reading ideals above 144900096
  65. Sat Aug 15 23:43:16 2015  commencing singleton removal, initial pass
  66. Sun Aug 16 00:00:18 2015  memory use: 3012.0 MB
  67. Sun Aug 16 00:00:18 2015  reading all ideals from disk
  68. Sun Aug 16 00:00:41 2015  memory use: 3127.9 MB
  69. Sun Aug 16 00:00:47 2015  commencing in-memory singleton removal
  70. Sun Aug 16 00:00:51 2015  begin with 185355234 relations and 156499585 unique ideals
  71. Sun Aug 16 00:01:38 2015  reduce to 114385779 relations and 77686925 ideals in 14 passes
  72. Sun Aug 16 00:01:38 2015  max relations containing the same ideal: 41
  73. Sun Aug 16 00:01:42 2015  reading ideals above 720000
  74. Sun Aug 16 00:01:42 2015  commencing singleton removal, initial pass
  75. Sun Aug 16 00:16:08 2015  memory use: 2756.0 MB
  76. Sun Aug 16 00:16:09 2015  reading all ideals from disk
  77. Sun Aug 16 00:16:50 2015  memory use: 4453.6 MB
  78. Sun Aug 16 00:17:01 2015  keeping 93445813 ideals with weight <= 200, target excess is 579043
  79. Sun Aug 16 00:17:12 2015  commencing in-memory singleton removal
  80. Sun Aug 16 00:17:19 2015  begin with 114385779 relations and 93445813 unique ideals
  81. Sun Aug 16 00:18:14 2015  reduce to 114381692 relations and 93441726 ideals in 8 passes
  82. Sun Aug 16 00:18:14 2015  max relations containing the same ideal: 200
  83. Sun Aug 16 00:18:50 2015  removing 11171967 relations and 9171967 ideals in 2000000 cliques
  84. Sun Aug 16 00:18:53 2015  commencing in-memory singleton removal
  85. Sun Aug 16 00:18:59 2015  begin with 103209725 relations and 93441726 unique ideals
  86. Sun Aug 16 00:19:49 2015  reduce to 102412870 relations and 83455446 ideals in 9 passes
  87. Sun Aug 16 00:19:49 2015  max relations containing the same ideal: 194
  88. Sun Aug 16 00:20:21 2015  removing 8466297 relations and 6466297 ideals in 2000000 cliques
  89. Sun Aug 16 00:20:24 2015  commencing in-memory singleton removal
  90. Sun Aug 16 00:20:29 2015  begin with 93946573 relations and 83455446 unique ideals
  91. Sun Aug 16 00:21:09 2015  reduce to 93413638 relations and 76445878 ideals in 8 passes
  92. Sun Aug 16 00:21:09 2015  max relations containing the same ideal: 186
  93. Sun Aug 16 00:21:39 2015  removing 7661566 relations and 5661566 ideals in 2000000 cliques
  94. Sun Aug 16 00:21:41 2015  commencing in-memory singleton removal
  95. Sun Aug 16 00:21:46 2015  begin with 85752072 relations and 76445878 unique ideals
  96. Sun Aug 16 00:22:18 2015  reduce to 85278284 relations and 70301086 ideals in 7 passes
  97. Sun Aug 16 00:22:18 2015  max relations containing the same ideal: 177
  98. Sun Aug 16 00:22:46 2015  removing 7254016 relations and 5254016 ideals in 2000000 cliques
  99. Sun Aug 16 00:22:48 2015  commencing in-memory singleton removal
  100. Sun Aug 16 00:22:52 2015  begin with 78024268 relations and 70301086 unique ideals
  101. Sun Aug 16 00:23:21 2015  reduce to 77570377 relations and 64583509 ideals in 7 passes
  102. Sun Aug 16 00:23:21 2015  max relations containing the same ideal: 166
  103. Sun Aug 16 00:23:47 2015  removing 7001509 relations and 5001509 ideals in 2000000 cliques
  104. Sun Aug 16 00:23:49 2015  commencing in-memory singleton removal
  105. Sun Aug 16 00:23:52 2015  begin with 70568868 relations and 64583509 unique ideals
  106. Sun Aug 16 00:24:22 2015  reduce to 70117394 relations and 59120278 ideals in 8 passes
  107. Sun Aug 16 00:24:22 2015  max relations containing the same ideal: 154
  108. Sun Aug 16 00:24:46 2015  removing 6838885 relations and 4838885 ideals in 2000000 cliques
  109. Sun Aug 16 00:24:48 2015  commencing in-memory singleton removal
  110. Sun Aug 16 00:24:51 2015  begin with 63278509 relations and 59120278 unique ideals
  111. Sun Aug 16 00:25:18 2015  reduce to 62814923 relations and 53806374 ideals in 8 passes
  112. Sun Aug 16 00:25:18 2015  max relations containing the same ideal: 142
  113. Sun Aug 16 00:25:38 2015  removing 6721466 relations and 4721466 ideals in 2000000 cliques
  114. Sun Aug 16 00:25:40 2015  commencing in-memory singleton removal
  115. Sun Aug 16 00:25:43 2015  begin with 56093457 relations and 53806374 unique ideals
  116. Sun Aug 16 00:26:04 2015  reduce to 55606454 relations and 48584635 ideals in 7 passes
  117. Sun Aug 16 00:26:04 2015  max relations containing the same ideal: 133
  118. Sun Aug 16 00:26:22 2015  removing 6636847 relations and 4636847 ideals in 2000000 cliques
  119. Sun Aug 16 00:26:24 2015  commencing in-memory singleton removal
  120. Sun Aug 16 00:26:27 2015  begin with 48969607 relations and 48584635 unique ideals
  121. Sun Aug 16 00:26:47 2015  reduce to 48445304 relations and 43407435 ideals in 8 passes
  122. Sun Aug 16 00:26:47 2015  max relations containing the same ideal: 121
  123. Sun Aug 16 00:27:03 2015  removing 6578912 relations and 4578912 ideals in 2000000 cliques
  124. Sun Aug 16 00:27:05 2015  commencing in-memory singleton removal
  125. Sun Aug 16 00:27:07 2015  begin with 41866392 relations and 43407435 unique ideals
  126. Sun Aug 16 00:27:25 2015  reduce to 41279570 relations and 38221279 ideals in 8 passes
  127. Sun Aug 16 00:27:25 2015  max relations containing the same ideal: 109
  128. Sun Aug 16 00:27:38 2015  removing 6546474 relations and 4546474 ideals in 2000000 cliques
  129. Sun Aug 16 00:27:40 2015  commencing in-memory singleton removal
  130. Sun Aug 16 00:27:42 2015  begin with 34733096 relations and 38221279 unique ideals
  131. Sun Aug 16 00:27:56 2015  reduce to 34040614 relations and 32953715 ideals in 8 passes
  132. Sun Aug 16 00:27:56 2015  max relations containing the same ideal: 96
  133. Sun Aug 16 00:28:08 2015  removing 1860182 relations and 1444973 ideals in 415209 cliques
  134. Sun Aug 16 00:28:09 2015  commencing in-memory singleton removal
  135. Sun Aug 16 00:28:10 2015  begin with 32180432 relations and 32953715 unique ideals
  136. Sun Aug 16 00:28:20 2015  reduce to 32111398 relations and 31438930 ideals in 6 passes
  137. Sun Aug 16 00:28:20 2015  max relations containing the same ideal: 93
  138. Sun Aug 16 00:28:35 2015  relations with 0 large ideals: 22210
  139. Sun Aug 16 00:28:35 2015  relations with 1 large ideals: 7405
  140. Sun Aug 16 00:28:35 2015  relations with 2 large ideals: 106335
  141. Sun Aug 16 00:28:35 2015  relations with 3 large ideals: 736287
  142. Sun Aug 16 00:28:35 2015  relations with 4 large ideals: 2751303
  143. Sun Aug 16 00:28:35 2015  relations with 5 large ideals: 6122829
  144. Sun Aug 16 00:28:35 2015  relations with 6 large ideals: 8517097
  145. Sun Aug 16 00:28:35 2015  relations with 7+ large ideals: 13847932
  146. Sun Aug 16 00:28:35 2015  commencing 2-way merge
  147. Sun Aug 16 00:28:48 2015  reduce to 21122902 relation sets and 20450434 unique ideals
  148. Sun Aug 16 00:28:48 2015  commencing full merge
  149. Sun Aug 16 00:35:12 2015  memory use: 2747.2 MB
  150. Sun Aug 16 00:35:13 2015  found 9442804 cycles, need 9430634
  151. Sun Aug 16 00:35:15 2015  weight of 9430634 cycles is about 1170138833 (124.08/cycle)
  152. Sun Aug 16 00:35:15 2015  distribution of cycle lengths:
  153. Sun Aug 16 00:35:15 2015  1 relations: 345787
  154. Sun Aug 16 00:35:15 2015  2 relations: 517158
  155. Sun Aug 16 00:35:15 2015  3 relations: 624435
  156. Sun Aug 16 00:35:15 2015  4 relations: 654747
  157. Sun Aug 16 00:35:15 2015  5 relations: 675477
  158. Sun Aug 16 00:35:15 2015  6 relations: 676548
  159. Sun Aug 16 00:35:15 2015  7 relations: 667150
  160. Sun Aug 16 00:35:15 2015  8 relations: 644494
  161. Sun Aug 16 00:35:15 2015  9 relations: 610197
  162. Sun Aug 16 00:35:15 2015  10+ relations: 4014641
  163. Sun Aug 16 00:35:15 2015  heaviest cycle: 28 relations
  164. Sun Aug 16 00:35:17 2015  commencing cycle optimization
  165. Sun Aug 16 00:35:32 2015  start with 87333393 relations
  166. Sun Aug 16 00:38:11 2015  pruned 4188647 relations
  167. Sun Aug 16 00:38:11 2015  memory use: 2236.2 MB
  168. Sun Aug 16 00:38:11 2015  distribution of cycle lengths:
  169. Sun Aug 16 00:38:11 2015  1 relations: 345787
  170. Sun Aug 16 00:38:11 2015  2 relations: 530163
  171. Sun Aug 16 00:38:11 2015  3 relations: 651091
  172. Sun Aug 16 00:38:11 2015  4 relations: 682441
  173. Sun Aug 16 00:38:11 2015  5 relations: 710361
  174. Sun Aug 16 00:38:11 2015  6 relations: 711025
  175. Sun Aug 16 00:38:11 2015  7 relations: 704012
  176. Sun Aug 16 00:38:11 2015  8 relations: 676793
  177. Sun Aug 16 00:38:11 2015  9 relations: 640892
  178. Sun Aug 16 00:38:11 2015  10+ relations: 3778069
  179. Sun Aug 16 00:38:11 2015  heaviest cycle: 28 relations
  180. Sun Aug 16 00:38:28 2015  RelProcTime: 5129
  181. Sun Aug 16 00:38:28 2015  
  182. Sun Aug 16 00:38:28 2015  commencing linear algebra
  183. Sun Aug 16 00:38:28 2015  read 9430634 cycles
  184. Sun Aug 16 00:38:43 2015  cycles contain 31767672 unique relations
  185. Sun Aug 16 00:42:49 2015  read 31767672 relations
  186. Sun Aug 16 00:43:32 2015  using 20 quadratic characters above 2147482740
  187. Sun Aug 16 00:45:24 2015  building initial matrix
  188. Sun Aug 16 00:51:52 2015  memory use: 4224.2 MB
  189. Sun Aug 16 00:51:56 2015  read 9430634 cycles
  190. Sun Aug 16 00:51:57 2015  matrix is 9430457 x 9430634 (4542.5 MB) with weight 1329344920 (140.96/col)
  191. Sun Aug 16 00:51:57 2015  sparse part has weight 1087043328 (115.27/col)
  192. Sun Aug 16 00:53:39 2015  filtering completed in 2 passes
  193. Sun Aug 16 00:53:41 2015  matrix is 9430404 x 9430581 (4542.5 MB) with weight 1329342959 (140.96/col)
  194. Sun Aug 16 00:53:41 2015  sparse part has weight 1087042736 (115.27/col)
  195. Sun Aug 16 00:54:49 2015  matrix starts at (0, 0)
  196. Sun Aug 16 00:54:50 2015  matrix is 9430404 x 9430581 (4542.5 MB) with weight 1329342959 (140.96/col)
  197. Sun Aug 16 00:54:50 2015  sparse part has weight 1087042736 (115.27/col)
  198. Sun Aug 16 00:54:50 2015  saving the first 48 matrix rows for later
  199. Sun Aug 16 00:54:52 2015  matrix includes 64 packed rows
  200. Sun Aug 16 00:54:53 2015  matrix is 9430356 x 9430581 (4363.2 MB) with weight 1133069461 (120.15/col)
  201. Sun Aug 16 00:54:53 2015  sparse part has weight 1049487723 (111.29/col)
  202. Sun Aug 16 00:54:53 2015  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  203. Sun Aug 16 00:55:28 2015  commencing Lanczos iteration (4 threads)
  204. Sun Aug 16 00:55:28 2015  memory use: 3700.3 MB
  205. Sun Aug 16 00:56:07 2015  linear algebra at 0.0%, ETA 63h52m
  206. Sun Aug 16 00:56:20 2015  checkpointing every 150000 dimensions
  207. Tue Aug 18 17:30:51 2015  lanczos halted after 149130 iterations (dim = 9430354)
  208. Tue Aug 18 17:31:00 2015  recovered 32 nontrivial dependencies
  209. Tue Aug 18 17:31:00 2015  BLanczosTime: 233552
  210. Tue Aug 18 17:31:00 2015  
  211. Tue Aug 18 17:31:00 2015  commencing square root phase
  212. Tue Aug 18 17:31:00 2015  handling dependencies 1 to 64
  213. Tue Aug 18 17:31:00 2015  reading relations for dependency 1
  214. Tue Aug 18 17:31:01 2015  read 4717606 cycles
  215. Tue Aug 18 17:31:09 2015  cycles contain 15886522 unique relations
  216. Tue Aug 18 17:34:58 2015  read 15886522 relations
  217. Tue Aug 18 17:35:55 2015  multiplying 15886522 relations
  218. Tue Aug 18 17:48:50 2015  multiply complete, coefficients have about 589.15 million bits
  219. Tue Aug 18 17:48:52 2015  initial square root is modulo 193093
  220. Tue Aug 18 18:03:05 2015  sqrtTime: 1925
  221. Tue Aug 18 18:03:05 2015  prp91 factor: 3406552954362058998619473959349995434944237314387870447485943034305170181282238740243047313
  222. Tue Aug 18 18:03:05 2015  prp151 factor: 1954490750272399255080206134457118078869418472163383477871849501374955102132695125696650749919583264370574279872363121393694400304881494845103572277197
  223. Tue Aug 18 18:03:05 2015  elapsed time 66:50:09
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