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C167_P242_plus_1

CarlosPinho Jun 5th, 2016 41 Never
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  1. Sat May 14 18:46:10 2016  Msieve v. 1.53 (SVN unknown)
  2. Sat May 14 18:46:10 2016  random seeds: 08038237 6df7ccd1
  3. Sat May 14 18:46:10 2016  factoring 86087216622909320475937817960965069077099649475501883144928791304279628943044259840075854204712662678658205730270678505803343546784997012306732058710137580564986672879 (167 digits)
  4. Sat May 14 18:46:11 2016  searching for 15-digit factors
  5. Sat May 14 18:46:12 2016  commencing number field sieve (167-digit input)
  6. Sat May 14 18:46:12 2016  R0: -263429836420403554624443984456492
  7. Sat May 14 18:46:12 2016  R1: 1687334346513259
  8. Sat May 14 18:46:12 2016  A0: 170804030673630746042437452306105171743809
  9. Sat May 14 18:46:12 2016  A1: 35928016643172148445694465426234155
  10. Sat May 14 18:46:12 2016  A2: -1028346122195489792311028113
  11. Sat May 14 18:46:12 2016  A3: -272050212057472217915
  12. Sat May 14 18:46:12 2016  A4: 3256965323604
  13. Sat May 14 18:46:12 2016  A5: 67860
  14. Sat May 14 18:46:12 2016  skew 1.00, size 2.714e-16, alpha -7.224, combined = 1.865e-15 rroots = 5
  15. Sat May 14 18:46:12 2016  
  16. Sat May 14 18:46:12 2016  commencing relation filtering
  17. Sat May 14 18:46:12 2016  setting target matrix density to 124.0
  18. Sat May 14 18:46:12 2016  estimated available RAM is 16031.0 MB
  19. Sat May 14 18:46:12 2016  commencing duplicate removal, pass 1
  20. Sat May 14 18:54:43 2016  error -15 reading relation 68506641
  21. Sat May 14 18:54:52 2016  error -15 reading relation 69610152
  22. Sat May 14 18:55:10 2016  error -1 reading relation 71584122
  23. Sat May 14 18:55:18 2016  error -5 reading relation 72442897
  24. Sat May 14 18:55:19 2016  error -1 reading relation 72531258
  25. Sat May 14 18:55:52 2016  error -5 reading relation 76458260
  26. Sat May 14 18:58:26 2016  error -15 reading relation 96213037
  27. Sat May 14 19:01:17 2016  error -5 reading relation 119162792
  28. Sat May 14 19:01:38 2016  error -9 reading relation 121680448
  29. Sat May 14 19:08:58 2016  error -1 reading relation 176380085
  30. Sat May 14 19:09:17 2016  error -9 reading relation 178738837
  31. Sat May 14 19:10:32 2016  error -15 reading relation 188710392
  32. Sat May 14 19:11:21 2016  error -9 reading relation 194625897
  33. Sat May 14 19:11:27 2016  error -9 reading relation 195367041
  34. Sat May 14 19:11:27 2016  error -15 reading relation 195368594
  35. Sat May 14 19:12:08 2016  error -15 reading relation 200511148
  36. Sat May 14 19:12:08 2016  error -15 reading relation 200517272
  37. Sat May 14 19:12:10 2016  error -15 reading relation 200827002
  38. Sat May 14 19:13:38 2016  error -9 reading relation 212058850
  39. Sat May 14 19:13:57 2016  error -15 reading relation 214493263
  40. Sat May 14 19:14:06 2016  error -15 reading relation 215800332
  41. Sat May 14 19:14:33 2016  error -11 reading relation 219306090
  42. Sat May 14 19:14:41 2016  error -9 reading relation 220299394
  43. Sat May 14 19:14:52 2016  error -15 reading relation 221837930
  44. Sat May 14 19:15:00 2016  error -15 reading relation 222942825
  45. Sat May 14 19:15:02 2016  skipped 16 relations with composite factors
  46. Sat May 14 19:15:02 2016  found 44085226 hash collisions in 223134350 relations
  47. Sat May 14 19:15:28 2016  added 122231 free relations
  48. Sat May 14 19:15:28 2016  commencing duplicate removal, pass 2
  49. Sat May 14 19:19:53 2016  found 43995582 duplicates and 179260999 unique relations
  50. Sat May 14 19:19:53 2016  memory use: 1321.5 MB
  51. Sat May 14 19:19:53 2016  reading ideals above 172687360
  52. Sat May 14 19:19:53 2016  commencing singleton removal, initial pass
  53. Sat May 14 19:37:06 2016  memory use: 3012.0 MB
  54. Sat May 14 19:37:06 2016  reading all ideals from disk
  55. Sat May 14 19:37:31 2016  memory use: 2870.6 MB
  56. Sat May 14 19:37:36 2016  commencing in-memory singleton removal
  57. Sat May 14 19:37:41 2016  begin with 179260999 relations and 145510286 unique ideals
  58. Sat May 14 19:38:35 2016  reduce to 108330955 relations and 66288096 ideals in 15 passes
  59. Sat May 14 19:38:35 2016  max relations containing the same ideal: 31
  60. Sat May 14 19:38:39 2016  reading ideals above 720000
  61. Sat May 14 19:38:39 2016  commencing singleton removal, initial pass
  62. Sat May 14 19:53:15 2016  memory use: 2756.0 MB
  63. Sat May 14 19:53:15 2016  reading all ideals from disk
  64. Sat May 14 19:53:59 2016  memory use: 4166.9 MB
  65. Sat May 14 19:54:09 2016  keeping 85020725 ideals with weight <= 200, target excess is 556641
  66. Sat May 14 19:54:19 2016  commencing in-memory singleton removal
  67. Sat May 14 19:54:27 2016  begin with 108330955 relations and 85020725 unique ideals
  68. Sat May 14 19:55:38 2016  reduce to 108300320 relations and 84990089 ideals in 9 passes
  69. Sat May 14 19:55:38 2016  max relations containing the same ideal: 200
  70. Sat May 14 19:56:20 2016  removing 10373361 relations and 8373361 ideals in 2000000 cliques
  71. Sat May 14 19:56:23 2016  commencing in-memory singleton removal
  72. Sat May 14 19:56:29 2016  begin with 97926959 relations and 84990089 unique ideals
  73. Sat May 14 19:57:15 2016  reduce to 97261312 relations and 75935780 ideals in 8 passes
  74. Sat May 14 19:57:15 2016  max relations containing the same ideal: 195
  75. Sat May 14 19:57:47 2016  removing 7809217 relations and 5809217 ideals in 2000000 cliques
  76. Sat May 14 19:57:50 2016  commencing in-memory singleton removal
  77. Sat May 14 19:57:55 2016  begin with 89452095 relations and 75935780 unique ideals
  78. Sat May 14 19:58:30 2016  reduce to 89022018 relations and 69687481 ideals in 7 passes
  79. Sat May 14 19:58:30 2016  max relations containing the same ideal: 187
  80. Sat May 14 19:58:59 2016  removing 7030281 relations and 5030281 ideals in 2000000 cliques
  81. Sat May 14 19:59:01 2016  commencing in-memory singleton removal
  82. Sat May 14 19:59:06 2016  begin with 81991737 relations and 69687481 unique ideals
  83. Sat May 14 19:59:33 2016  reduce to 81628261 relations and 64286161 ideals in 6 passes
  84. Sat May 14 19:59:33 2016  max relations containing the same ideal: 180
  85. Sat May 14 20:00:00 2016  removing 6603526 relations and 4603526 ideals in 2000000 cliques
  86. Sat May 14 20:00:02 2016  commencing in-memory singleton removal
  87. Sat May 14 20:00:06 2016  begin with 75024735 relations and 64286161 unique ideals
  88. Sat May 14 20:00:31 2016  reduce to 74697151 relations and 59347898 ideals in 6 passes
  89. Sat May 14 20:00:31 2016  max relations containing the same ideal: 169
  90. Sat May 14 20:00:55 2016  removing 6303340 relations and 4303340 ideals in 2000000 cliques
  91. Sat May 14 20:00:57 2016  commencing in-memory singleton removal
  92. Sat May 14 20:01:01 2016  begin with 68393811 relations and 59347898 unique ideals
  93. Sat May 14 20:01:23 2016  reduce to 68087091 relations and 54730601 ideals in 6 passes
  94. Sat May 14 20:01:23 2016  max relations containing the same ideal: 160
  95. Sat May 14 20:01:45 2016  removing 6076046 relations and 4076046 ideals in 2000000 cliques
  96. Sat May 14 20:01:47 2016  commencing in-memory singleton removal
  97. Sat May 14 20:01:51 2016  begin with 62011045 relations and 54730601 unique ideals
  98. Sat May 14 20:02:11 2016  reduce to 61713010 relations and 50349032 ideals in 6 passes
  99. Sat May 14 20:02:11 2016  max relations containing the same ideal: 154
  100. Sat May 14 20:02:31 2016  removing 5894094 relations and 3894094 ideals in 2000000 cliques
  101. Sat May 14 20:02:33 2016  commencing in-memory singleton removal
  102. Sat May 14 20:02:36 2016  begin with 55818916 relations and 50349032 unique ideals
  103. Sat May 14 20:02:57 2016  reduce to 55522868 relations and 46150645 ideals in 7 passes
  104. Sat May 14 20:02:57 2016  max relations containing the same ideal: 142
  105. Sat May 14 20:03:16 2016  removing 5745717 relations and 3745717 ideals in 2000000 cliques
  106. Sat May 14 20:03:18 2016  commencing in-memory singleton removal
  107. Sat May 14 20:03:20 2016  begin with 49777151 relations and 46150645 unique ideals
  108. Sat May 14 20:03:36 2016  reduce to 49471124 relations and 42089595 ideals in 6 passes
  109. Sat May 14 20:03:36 2016  max relations containing the same ideal: 130
  110. Sat May 14 20:03:52 2016  removing 5626342 relations and 3626342 ideals in 2000000 cliques
  111. Sat May 14 20:03:53 2016  commencing in-memory singleton removal
  112. Sat May 14 20:03:56 2016  begin with 43844782 relations and 42089595 unique ideals
  113. Sat May 14 20:04:10 2016  reduce to 43515104 relations and 38122400 ideals in 6 passes
  114. Sat May 14 20:04:10 2016  max relations containing the same ideal: 118
  115. Sat May 14 20:04:24 2016  removing 5549038 relations and 3549038 ideals in 2000000 cliques
  116. Sat May 14 20:04:25 2016  commencing in-memory singleton removal
  117. Sat May 14 20:04:27 2016  begin with 37966066 relations and 38122400 unique ideals
  118. Sat May 14 20:04:41 2016  reduce to 37587287 relations and 34180339 ideals in 7 passes
  119. Sat May 14 20:04:41 2016  max relations containing the same ideal: 108
  120. Sat May 14 20:04:54 2016  removing 5524361 relations and 3524361 ideals in 2000000 cliques
  121. Sat May 14 20:04:56 2016  commencing in-memory singleton removal
  122. Sat May 14 20:04:57 2016  begin with 32062926 relations and 34180339 unique ideals
  123. Sat May 14 20:05:09 2016  reduce to 31594095 relations and 30166739 ideals in 7 passes
  124. Sat May 14 20:05:09 2016  max relations containing the same ideal: 98
  125. Sat May 14 20:05:18 2016  removing 2564796 relations and 1783144 ideals in 781652 cliques
  126. Sat May 14 20:05:20 2016  commencing in-memory singleton removal
  127. Sat May 14 20:05:21 2016  begin with 29029299 relations and 30166739 unique ideals
  128. Sat May 14 20:05:31 2016  reduce to 28883961 relations and 28235147 ideals in 7 passes
  129. Sat May 14 20:05:31 2016  max relations containing the same ideal: 90
  130. Sat May 14 20:05:44 2016  relations with 0 large ideals: 1545
  131. Sat May 14 20:05:44 2016  relations with 1 large ideals: 8570
  132. Sat May 14 20:05:44 2016  relations with 2 large ideals: 122621
  133. Sat May 14 20:05:44 2016  relations with 3 large ideals: 833965
  134. Sat May 14 20:05:44 2016  relations with 4 large ideals: 2962592
  135. Sat May 14 20:05:44 2016  relations with 5 large ideals: 6175507
  136. Sat May 14 20:05:44 2016  relations with 6 large ideals: 7986180
  137. Sat May 14 20:05:44 2016  relations with 7+ large ideals: 10792981
  138. Sat May 14 20:05:44 2016  commencing 2-way merge
  139. Sat May 14 20:05:55 2016  reduce to 20332985 relation sets and 19684171 unique ideals
  140. Sat May 14 20:05:55 2016  commencing full merge
  141. Sat May 14 20:10:54 2016  memory use: 2369.2 MB
  142. Sat May 14 20:10:56 2016  found 8914845 cycles, need 8862371
  143. Sat May 14 20:10:58 2016  weight of 8862371 cycles is about 1099332817 (124.05/cycle)
  144. Sat May 14 20:10:58 2016  distribution of cycle lengths:
  145. Sat May 14 20:10:58 2016  1 relations: 134335
  146. Sat May 14 20:10:58 2016  2 relations: 405314
  147. Sat May 14 20:10:58 2016  3 relations: 557976
  148. Sat May 14 20:10:58 2016  4 relations: 635966
  149. Sat May 14 20:10:58 2016  5 relations: 708744
  150. Sat May 14 20:10:58 2016  6 relations: 730060
  151. Sat May 14 20:10:58 2016  7 relations: 729948
  152. Sat May 14 20:10:58 2016  8 relations: 704309
  153. Sat May 14 20:10:58 2016  9 relations: 659028
  154. Sat May 14 20:10:58 2016  10+ relations: 3596691
  155. Sat May 14 20:10:58 2016  heaviest cycle: 28 relations
  156. Sat May 14 20:11:00 2016  commencing cycle optimization
  157. Sat May 14 20:11:14 2016  start with 79715409 relations
  158. Sat May 14 20:13:28 2016  pruned 4441113 relations
  159. Sat May 14 20:13:28 2016  memory use: 2028.5 MB
  160. Sat May 14 20:13:28 2016  distribution of cycle lengths:
  161. Sat May 14 20:13:28 2016  1 relations: 134335
  162. Sat May 14 20:13:28 2016  2 relations: 418820
  163. Sat May 14 20:13:28 2016  3 relations: 586347
  164. Sat May 14 20:13:28 2016  4 relations: 671969
  165. Sat May 14 20:13:28 2016  5 relations: 756810
  166. Sat May 14 20:13:28 2016  6 relations: 779917
  167. Sat May 14 20:13:28 2016  7 relations: 783551
  168. Sat May 14 20:13:28 2016  8 relations: 750286
  169. Sat May 14 20:13:28 2016  9 relations: 698777
  170. Sat May 14 20:13:28 2016  10+ relations: 3281559
  171. Sat May 14 20:13:28 2016  heaviest cycle: 28 relations
  172. Sat May 14 20:13:41 2016  RelProcTime: 5249
  173. Sat May 14 20:13:41 2016  
  174. Sat May 14 20:13:41 2016  commencing linear algebra
  175. Sat May 14 20:13:44 2016  read 8862371 cycles
  176. Sat May 14 20:14:01 2016  cycles contain 28593557 unique relations
  177. Sat May 14 20:18:38 2016  read 28593557 relations
  178. Sat May 14 20:19:09 2016  using 20 quadratic characters above 4294917295
  179. Sat May 14 20:20:52 2016  building initial matrix
  180. Sat May 14 20:25:53 2016  memory use: 3896.4 MB
  181. Sat May 14 20:25:56 2016  read 8862371 cycles
  182. Sat May 14 20:25:58 2016  matrix is 8862193 x 8862371 (4219.6 MB) with weight 1283248769 (144.80/col)
  183. Sat May 14 20:25:58 2016  sparse part has weight 1008663640 (113.81/col)
  184. Sat May 14 20:27:19 2016  filtering completed in 2 passes
  185. Sat May 14 20:27:21 2016  matrix is 8862109 x 8862287 (4219.6 MB) with weight 1283245361 (144.80/col)
  186. Sat May 14 20:27:21 2016  sparse part has weight 1008662878 (113.82/col)
  187. Sat May 14 20:28:36 2016  matrix starts at (0, 0)
  188. Sat May 14 20:28:37 2016  matrix is 8862109 x 8862287 (4219.6 MB) with weight 1283245361 (144.80/col)
  189. Sat May 14 20:28:37 2016  sparse part has weight 1008662878 (113.82/col)
  190. Sat May 14 20:28:37 2016  saving the first 48 matrix rows for later
  191. Sat May 14 20:28:38 2016  matrix includes 64 packed rows
  192. Sat May 14 20:28:39 2016  matrix is 8862061 x 8862287 (4119.0 MB) with weight 1100256624 (124.15/col)
  193. Sat May 14 20:28:39 2016  sparse part has weight 991157104 (111.84/col)
  194. Sat May 14 20:28:39 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  195. Sat May 14 20:29:13 2016  commencing Lanczos iteration (4 threads)
  196. Sat May 14 20:29:13 2016  memory use: 3439.3 MB
  197. Sat May 14 20:29:48 2016  linear algebra at 0.0%, ETA 53h26m
  198. Sat May 14 20:30:00 2016  checkpointing every 170000 dimensions
  199. Mon May 16 21:23:24 2016  lanczos halted after 140140 iterations (dim = 8862061)
  200. Mon May 16 21:23:36 2016  recovered 28 nontrivial dependencies
  201. Mon May 16 21:23:37 2016  BLanczosTime: 176996
  202. Mon May 16 21:23:37 2016  
  203. Mon May 16 21:23:37 2016  commencing square root phase
  204. Mon May 16 21:23:37 2016  handling dependencies 1 to 64
  205. Mon May 16 21:23:37 2016  reading relations for dependency 1
  206. Mon May 16 21:23:37 2016  read 4430712 cycles
  207. Mon May 16 21:23:44 2016  cycles contain 14293714 unique relations
  208. Mon May 16 21:28:23 2016  read 14293714 relations
  209. Mon May 16 21:29:11 2016  multiplying 14293714 relations
  210. Mon May 16 21:41:17 2016  multiply complete, coefficients have about 774.06 million bits
  211. Mon May 16 21:41:20 2016  initial square root is modulo 8799389
  212. Mon May 16 21:55:38 2016  sqrtTime: 1921
  213. Mon May 16 21:55:38 2016  p65 factor: 45301509333821905495539718460097986820186764616992156007270755489
  214. Mon May 16 21:55:38 2016  p103 factor: 1900316741955372052425884337380919154908759055968672910703543281500427095423521578012320374044732762511
  215. Mon May 16 21:55:38 2016  elapsed time 51:09:28
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