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C161_P235_plus_1

vang0001 Dec 14th, 2015 83 Never
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  1. Sat Dec 12 08:51:16 2015  
  2. Sat Dec 12 08:51:16 2015  
  3. Sat Dec 12 08:51:16 2015  Msieve v. 1.53 (SVN 984)
  4. Sat Dec 12 08:51:16 2015  random seeds: d02dbf81 32fe7936
  5. Sat Dec 12 08:51:16 2015  factoring 10096904174539723226517429339174103549954612595572907449004228518536106246130163441328194386387550073223591748996407909377643286693359512946607050787891837163313 (161 digits)
  6. Sat Dec 12 08:51:16 2015  commencing number field sieve (161-digit input)
  7. Sat Dec 12 08:51:16 2015  R0: -7566987794097168051794849970657
  8. Sat Dec 12 08:51:16 2015  R1: 834652135119829
  9. Sat Dec 12 08:51:16 2015  A0: -243647494325130487692455928079190950096
  10. Sat Dec 12 08:51:16 2015  A1: 338668250601808266955426067331706
  11. Sat Dec 12 08:51:16 2015  A2: -7883385754476929038500968
  12. Sat Dec 12 08:51:16 2015  A3: -103306482877709575951
  13. Sat Dec 12 08:51:16 2015  A4: -254834804646
  14. Sat Dec 12 08:51:16 2015  A5: 406980
  15. Sat Dec 12 08:51:16 2015  skew 1.00, size 1.335e-15, alpha -7.375, combined = 9.579e-15 rroots = 3
  16. Sat Dec 12 08:51:16 2015  
  17. Sat Dec 12 08:51:16 2015  commencing relation filtering
  18. Sat Dec 12 08:51:16 2015  estimated available RAM is 32091.8 MB
  19. Sat Dec 12 08:51:16 2015  commencing duplicate removal, pass 1
  20. Sat Dec 12 08:54:21 2015  error -9 reading relation 22941357
  21. Sat Dec 12 08:55:09 2015  error -9 reading relation 28838338
  22. Sat Dec 12 08:56:12 2015  error -1 reading relation 36676094
  23. Sat Dec 12 08:56:33 2015  error -15 reading relation 39240098
  24. Sat Dec 12 08:56:40 2015  error -15 reading relation 40083766
  25. Sat Dec 12 08:56:46 2015  error -9 reading relation 40826105
  26. Sat Dec 12 08:57:10 2015  error -15 reading relation 43800940
  27. Sat Dec 12 08:57:10 2015  error -15 reading relation 43856685
  28. Sat Dec 12 08:57:22 2015  error -1 reading relation 45363940
  29. Sat Dec 12 08:58:11 2015  error -15 reading relation 51363583
  30. Sat Dec 12 08:59:12 2015  error -9 reading relation 58877622
  31. Sat Dec 12 08:59:15 2015  error -15 reading relation 59194615
  32. Sat Dec 12 08:59:16 2015  error -9 reading relation 59372062
  33. Sat Dec 12 09:00:26 2015  error -9 reading relation 67972807
  34. Sat Dec 12 09:01:16 2015  error -1 reading relation 72827099
  35. Sat Dec 12 09:01:16 2015  error -9 reading relation 72842452
  36. Sat Dec 12 09:01:17 2015  error -9 reading relation 72949667
  37. Sat Dec 12 09:02:34 2015  error -15 reading relation 80557506
  38. Sat Dec 12 09:02:36 2015  error -15 reading relation 80732228
  39. Sat Dec 12 09:02:41 2015  error -11 reading relation 81226137
  40. Sat Dec 12 09:02:42 2015  error -9 reading relation 81353829
  41. Sat Dec 12 09:02:45 2015  error -9 reading relation 81655767
  42. Sat Dec 12 09:02:49 2015  error -15 reading relation 82012018
  43. Sat Dec 12 09:03:16 2015  error -15 reading relation 84811741
  44. Sat Dec 12 09:03:51 2015  error -15 reading relation 88366712
  45. Sat Dec 12 09:03:51 2015  error -15 reading relation 88367434
  46. Sat Dec 12 09:03:52 2015  error -15 reading relation 88482365
  47. Sat Dec 12 09:03:56 2015  error -1 reading relation 88806486
  48. Sat Dec 12 09:03:58 2015  error -9 reading relation 88982158
  49. Sat Dec 12 09:03:59 2015  error -15 reading relation 89162608
  50. Sat Dec 12 09:04:03 2015  error -1 reading relation 89554567
  51. Sat Dec 12 09:04:07 2015  error -15 reading relation 89934246
  52. Sat Dec 12 09:05:14 2015  skipped 32 relations with composite factors
  53. Sat Dec 12 09:05:14 2015  found 16539764 hash collisions in 96532332 relations
  54. Sat Dec 12 09:05:51 2015  added 121836 free relations
  55. Sat Dec 12 09:05:51 2015  commencing duplicate removal, pass 2
  56. Sat Dec 12 09:06:23 2015  found 15822975 duplicates and 80831193 unique relations
  57. Sat Dec 12 09:06:23 2015  memory use: 426.4 MB
  58. Sat Dec 12 09:06:23 2015  reading ideals above 720000
  59. Sat Dec 12 09:06:23 2015  commencing singleton removal, initial pass
  60. Sat Dec 12 09:18:47 2015  memory use: 2756.0 MB
  61. Sat Dec 12 09:18:47 2015  reading all ideals from disk
  62. Sat Dec 12 09:18:49 2015  memory use: 3034.0 MB
  63. Sat Dec 12 09:18:59 2015  keeping 81631764 ideals with weight <= 200, target excess is 428475
  64. Sat Dec 12 09:19:10 2015  commencing in-memory singleton removal
  65. Sat Dec 12 09:19:15 2015  begin with 80831193 relations and 81631764 unique ideals
  66. Sat Dec 12 09:20:08 2015  reduce to 41743129 relations and 36998763 ideals in 15 passes
  67. Sat Dec 12 09:20:08 2015  max relations containing the same ideal: 141
  68. Sat Dec 12 09:20:25 2015  removing 5647584 relations and 4647584 ideals in 1000000 cliques
  69. Sat Dec 12 09:20:27 2015  commencing in-memory singleton removal
  70. Sat Dec 12 09:20:29 2015  begin with 36095545 relations and 36998763 unique ideals
  71. Sat Dec 12 09:20:49 2015  reduce to 35632642 relations and 31874584 ideals in 9 passes
  72. Sat Dec 12 09:20:49 2015  max relations containing the same ideal: 127
  73. Sat Dec 12 09:21:02 2015  removing 4180529 relations and 3180529 ideals in 1000000 cliques
  74. Sat Dec 12 09:21:04 2015  commencing in-memory singleton removal
  75. Sat Dec 12 09:21:06 2015  begin with 31452113 relations and 31874584 unique ideals
  76. Sat Dec 12 09:21:21 2015  reduce to 31154961 relations and 28388799 ideals in 8 passes
  77. Sat Dec 12 09:21:21 2015  max relations containing the same ideal: 115
  78. Sat Dec 12 09:21:33 2015  removing 3713220 relations and 2713220 ideals in 1000000 cliques
  79. Sat Dec 12 09:21:34 2015  commencing in-memory singleton removal
  80. Sat Dec 12 09:21:36 2015  begin with 27441741 relations and 28388799 unique ideals
  81. Sat Dec 12 09:21:47 2015  reduce to 27172363 relations and 25398545 ideals in 7 passes
  82. Sat Dec 12 09:21:47 2015  max relations containing the same ideal: 107
  83. Sat Dec 12 09:21:58 2015  removing 3473042 relations and 2473042 ideals in 1000000 cliques
  84. Sat Dec 12 09:21:59 2015  commencing in-memory singleton removal
  85. Sat Dec 12 09:22:00 2015  begin with 23699321 relations and 25398545 unique ideals
  86. Sat Dec 12 09:22:10 2015  reduce to 23424296 relations and 22641754 ideals in 7 passes
  87. Sat Dec 12 09:22:10 2015  max relations containing the same ideal: 96
  88. Sat Dec 12 09:22:19 2015  removing 1219194 relations and 933683 ideals in 285511 cliques
  89. Sat Dec 12 09:22:20 2015  commencing in-memory singleton removal
  90. Sat Dec 12 09:22:21 2015  begin with 22205102 relations and 22641754 unique ideals
  91. Sat Dec 12 09:22:29 2015  reduce to 22168801 relations and 21671409 ideals in 6 passes
  92. Sat Dec 12 09:22:29 2015  max relations containing the same ideal: 93
  93. Sat Dec 12 09:22:41 2015  relations with 0 large ideals: 1042
  94. Sat Dec 12 09:22:41 2015  relations with 1 large ideals: 6120
  95. Sat Dec 12 09:22:41 2015  relations with 2 large ideals: 81397
  96. Sat Dec 12 09:22:41 2015  relations with 3 large ideals: 572343
  97. Sat Dec 12 09:22:41 2015  relations with 4 large ideals: 2125219
  98. Sat Dec 12 09:22:41 2015  relations with 5 large ideals: 4607974
  99. Sat Dec 12 09:22:41 2015  relations with 6 large ideals: 6163524
  100. Sat Dec 12 09:22:41 2015  relations with 7+ large ideals: 8611182
  101. Sat Dec 12 09:22:41 2015  commencing 2-way merge
  102. Sat Dec 12 09:22:52 2015  reduce to 15171247 relation sets and 14673855 unique ideals
  103. Sat Dec 12 09:22:52 2015  commencing full merge
  104. Sat Dec 12 09:25:55 2015  memory use: 1664.2 MB
  105. Sat Dec 12 09:25:56 2015  found 8048715 cycles, need 7980055
  106. Sat Dec 12 09:25:59 2015  weight of 7980055 cycles is about 558750814 (70.02/cycle)
  107. Sat Dec 12 09:25:59 2015  distribution of cycle lengths:
  108. Sat Dec 12 09:25:59 2015  1 relations: 572122
  109. Sat Dec 12 09:25:59 2015  2 relations: 962945
  110. Sat Dec 12 09:25:59 2015  3 relations: 1106181
  111. Sat Dec 12 09:25:59 2015  4 relations: 1060627
  112. Sat Dec 12 09:25:59 2015  5 relations: 979414
  113. Sat Dec 12 09:25:59 2015  6 relations: 842493
  114. Sat Dec 12 09:25:59 2015  7 relations: 697910
  115. Sat Dec 12 09:25:59 2015  8 relations: 550601
  116. Sat Dec 12 09:25:59 2015  9 relations: 414546
  117. Sat Dec 12 09:25:59 2015  10+ relations: 793216
  118. Sat Dec 12 09:25:59 2015  heaviest cycle: 17 relations
  119. Sat Dec 12 09:26:01 2015  commencing cycle optimization
  120. Sat Dec 12 09:26:12 2015  start with 41998621 relations
  121. Sat Dec 12 09:27:01 2015  pruned 1165579 relations
  122. Sat Dec 12 09:27:01 2015  memory use: 1366.6 MB
  123. Sat Dec 12 09:27:01 2015  distribution of cycle lengths:
  124. Sat Dec 12 09:27:01 2015  1 relations: 572122
  125. Sat Dec 12 09:27:01 2015  2 relations: 987450
  126. Sat Dec 12 09:27:01 2015  3 relations: 1155747
  127. Sat Dec 12 09:27:01 2015  4 relations: 1094736
  128. Sat Dec 12 09:27:01 2015  5 relations: 1008708
  129. Sat Dec 12 09:27:01 2015  6 relations: 854308
  130. Sat Dec 12 09:27:01 2015  7 relations: 700124
  131. Sat Dec 12 09:27:01 2015  8 relations: 539053
  132. Sat Dec 12 09:27:01 2015  9 relations: 396109
  133. Sat Dec 12 09:27:01 2015  10+ relations: 671698
  134. Sat Dec 12 09:27:01 2015  heaviest cycle: 17 relations
  135. Sat Dec 12 09:27:11 2015  RelProcTime: 2155
  136. Sat Dec 12 09:27:11 2015  
  137. Sat Dec 12 09:27:11 2015  commencing linear algebra
  138. Sat Dec 12 09:27:15 2015  read 7980055 cycles
  139. Sat Dec 12 09:27:27 2015  cycles contain 21918981 unique relations
  140. Sat Dec 12 09:29:55 2015  read 21918981 relations
  141. Sat Dec 12 09:30:18 2015  using 20 quadratic characters above 4294917295
  142. Sat Dec 12 09:32:22 2015  building initial matrix
  143. Sat Dec 12 09:36:18 2015  memory use: 3036.7 MB
  144. Sat Dec 12 09:36:21 2015  read 7980055 cycles
  145. Sat Dec 12 09:36:23 2015  matrix is 7979878 x 7980055 (2422.1 MB) with weight 769309304 (96.40/col)
  146. Sat Dec 12 09:36:23 2015  sparse part has weight 539190047 (67.57/col)
  147. Sat Dec 12 09:37:20 2015  filtering completed in 2 passes
  148. Sat Dec 12 09:37:22 2015  matrix is 7978961 x 7979138 (2422.1 MB) with weight 769279203 (96.41/col)
  149. Sat Dec 12 09:37:22 2015  sparse part has weight 539184714 (67.57/col)
  150. Sat Dec 12 09:37:48 2015  matrix starts at (0, 0)
  151. Sat Dec 12 09:37:49 2015  matrix is 7978961 x 7979138 (2422.1 MB) with weight 769279203 (96.41/col)
  152. Sat Dec 12 09:37:49 2015  sparse part has weight 539184714 (67.57/col)
  153. Sat Dec 12 09:37:49 2015  saving the first 48 matrix rows for later
  154. Sat Dec 12 09:37:50 2015  matrix includes 64 packed rows
  155. Sat Dec 12 09:37:51 2015  matrix is 7978913 x 7979138 (2345.1 MB) with weight 616054380 (77.21/col)
  156. Sat Dec 12 09:37:51 2015  sparse part has weight 534964778 (67.05/col)
  157. Sat Dec 12 09:37:51 2015  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  158. Sat Dec 12 09:38:23 2015  commencing Lanczos iteration (7 threads)
  159. Sat Dec 12 09:38:23 2015  memory use: 1911.1 MB
  160. Sat Dec 12 09:38:38 2015  linear algebra at 0.0%, ETA 20h21m
  161. Sat Dec 12 09:38:43 2015  checkpointing every 390000 dimensions
  162. Sun Dec 13 05:49:08 2015  lanczos halted after 126179 iterations (dim = 7978913)
  163. Sun Dec 13 05:49:21 2015  recovered 31 nontrivial dependencies
  164. Sun Dec 13 05:49:21 2015  BLanczosTime: 73330
  165. Sun Dec 13 05:49:21 2015  
  166. Sun Dec 13 05:49:21 2015  commencing square root phase
  167. Sun Dec 13 05:49:21 2015  reading relations for dependency 1
  168. Sun Dec 13 05:49:22 2015  read 3986170 cycles
  169. Sun Dec 13 05:49:28 2015  cycles contain 10954222 unique relations
  170. Sun Dec 13 05:50:47 2015  read 10954222 relations
  171. Sun Dec 13 05:51:45 2015  multiplying 10954222 relations
  172. Sun Dec 13 06:10:03 2015  multiply complete, coefficients have about 604.70 million bits
  173. Sun Dec 13 06:10:07 2015  initial square root is modulo 266129
  174. Sun Dec 13 06:30:03 2015  GCD is N, no factor found
  175. Sun Dec 13 06:30:03 2015  reading relations for dependency 2
  176. Sun Dec 13 06:30:04 2015  read 3991563 cycles
  177. Sun Dec 13 06:30:09 2015  cycles contain 10962470 unique relations
  178. Sun Dec 13 06:31:29 2015  read 10962470 relations
  179. Sun Dec 13 06:32:27 2015  multiplying 10962470 relations
  180. Sun Dec 13 06:50:58 2015  multiply complete, coefficients have about 605.15 million bits
  181. Sun Dec 13 06:51:02 2015  initial square root is modulo 268721
  182. Sun Dec 13 07:11:14 2015  GCD is 1, no factor found
  183. Sun Dec 13 07:11:14 2015  reading relations for dependency 3
  184. Sun Dec 13 07:11:15 2015  read 3987915 cycles
  185. Sun Dec 13 07:11:21 2015  cycles contain 10959150 unique relations
  186. Sun Dec 13 07:12:41 2015  read 10959150 relations
  187. Sun Dec 13 07:13:39 2015  multiplying 10959150 relations
  188. Sun Dec 13 07:32:02 2015  multiply complete, coefficients have about 604.97 million bits
  189. Sun Dec 13 07:32:05 2015  initial square root is modulo 267629
  190. Sun Dec 13 07:51:50 2015  sqrtTime: 7349
  191. Sun Dec 13 07:51:50 2015  p61 factor: 2057615808601105867477509319540912079794595341210921188591047
  192. Sun Dec 13 07:51:50 2015  p100 factor: 4907089133128414979770030148182501984276112496043076934790578417094946450078090036204367425268439879
  193. Sun Dec 13 07:51:50 2015  elapsed time 23:00:34
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