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GC_9_244

CarlosPinho Jun 3rd, 2016 28 Never
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  1. Sat Jan  4 03:31:01 2014  Msieve v. 1.52 (SVN unknown)
  2. Sat Jan  4 03:31:01 2014  random seeds: cbad8d4e cd7ad7b3
  3. Sat Jan  4 03:31:01 2014  factoring 19299443069695190889647250249312930807089139735386800373342288967070864006088625157985247779712550854284997488812515563172971615236821797104315729350290312350261698738590798909 (176 digits)
  4. Sat Jan  4 03:31:01 2014  searching for 15-digit factors
  5. Sat Jan  4 03:31:02 2014  commencing number field sieve (176-digit input)
  6. Sat Jan  4 03:31:02 2014  R0: -443426488243037769948249630619149892803
  7. Sat Jan  4 03:31:02 2014  R1: 1
  8. Sat Jan  4 03:31:02 2014  A0: 1
  9. Sat Jan  4 03:31:02 2014  A1: 0
  10. Sat Jan  4 03:31:02 2014  A2: 0
  11. Sat Jan  4 03:31:02 2014  A3: 0
  12. Sat Jan  4 03:31:02 2014  A4: 0
  13. Sat Jan  4 03:31:02 2014  A5: 0
  14. Sat Jan  4 03:31:02 2014  A6: 2196
  15. Sat Jan  4 03:31:02 2014  skew 1.00, size 1.038e-11, alpha -0.130, combined = 6.356e-13 rroots = 0
  16. Sat Jan  4 03:31:02 2014  
  17. Sat Jan  4 03:31:02 2014  commencing relation filtering
  18. Sat Jan  4 03:31:02 2014  setting target matrix density to 116.0
  19. Sat Jan  4 03:31:02 2014  estimated available RAM is 16030.3 MB
  20. Sat Jan  4 03:31:02 2014  commencing duplicate removal, pass 1
  21. Sat Jan  4 03:33:34 2014  error -9 reading relation 29072152
  22. Sat Jan  4 03:33:55 2014  error -15 reading relation 33438566
  23. Sat Jan  4 03:34:20 2014  error -9 reading relation 38333207
  24. Sat Jan  4 03:34:35 2014  error -15 reading relation 41674289
  25. Sat Jan  4 03:34:35 2014  error -15 reading relation 41674531
  26. Sat Jan  4 03:35:37 2014  error -15 reading relation 54267750
  27. Sat Jan  4 03:35:42 2014  error -9 reading relation 55255885
  28. Sat Jan  4 03:35:44 2014  error -9 reading relation 55660700
  29. Sat Jan  4 03:35:44 2014  error -15 reading relation 55663337
  30. Sat Jan  4 03:36:17 2014  error -15 reading relation 62374428
  31. Sat Jan  4 03:36:17 2014  error -1 reading relation 62374429
  32. [ . . . 15,000 error (mostly -1) error deleted . . . ]
  33. Sat Jan  4 03:40:16 2014  error -1 reading relation 109664254
  34. Sat Jan  4 03:40:18 2014  error -9 reading relation 109916971
  35. Sat Jan  4 03:40:20 2014  error -9 reading relation 110205653
  36. Sat Jan  4 03:40:26 2014  error -9 reading relation 111530167
  37. Sat Jan  4 03:40:27 2014  error -15 reading relation 111786348
  38. Sat Jan  4 03:40:27 2014  error -15 reading relation 111830595
  39. Sat Jan  4 03:40:28 2014  error -11 reading relation 111872732
  40. Sat Jan  4 03:40:28 2014  error -11 reading relation 111873773
  41. Sat Jan  4 03:40:28 2014  error -9 reading relation 112000020
  42. Sat Jan  4 03:40:35 2014  error -15 reading relation 113468246
  43. Sat Jan  4 03:40:36 2014  error -9 reading relation 113532335
  44. Sat Jan  4 03:40:36 2014  error -9 reading relation 113713650
  45. Sat Jan  4 03:40:40 2014  error -9 reading relation 114377162
  46. Sat Jan  4 03:40:40 2014  error -15 reading relation 114447185
  47. Sat Jan  4 03:40:46 2014  error -15 reading relation 115567912
  48. Sat Jan  4 03:40:46 2014  error -15 reading relation 115611488
  49. Sat Jan  4 03:40:52 2014  error -15 reading relation 116860100
  50. Sat Jan  4 03:40:52 2014  error -15 reading relation 116872809
  51. Sat Jan  4 03:40:53 2014  error -11 reading relation 116999688
  52. Sat Jan  4 03:41:19 2014  skipped 209 relations with b > 2^32
  53. Sat Jan  4 03:41:19 2014  found 23120646 hash collisions in 120276440 relations
  54. Sat Jan  4 03:41:30 2014  commencing duplicate removal, pass 2
  55. Sat Jan  4 03:43:48 2014  found 22485490 duplicates and 97790950 unique relations
  56. Sat Jan  4 03:43:48 2014  memory use: 660.8 MB
  57. Sat Jan  4 03:43:48 2014  reading ideals above 105840640
  58. Sat Jan  4 03:43:48 2014  commencing singleton removal, initial pass
  59. Sat Jan  4 03:54:05 2014  memory use: 1506.0 MB
  60. Sat Jan  4 03:54:05 2014  reading all ideals from disk
  61. Sat Jan  4 03:54:18 2014  memory use: 1591.9 MB
  62. Sat Jan  4 03:54:21 2014  commencing in-memory singleton removal
  63. Sat Jan  4 03:54:24 2014  begin with 97790950 relations and 79348251 unique ideals
  64. Sat Jan  4 03:54:51 2014  reduce to 63080083 relations and 41076517 ideals in 14 passes
  65. Sat Jan  4 03:54:51 2014  max relations containing the same ideal: 32
  66. Sat Jan  4 03:54:53 2014  reading ideals above 720000
  67. Sat Jan  4 03:54:53 2014  commencing singleton removal, initial pass
  68. Sat Jan  4 04:04:29 2014  memory use: 1378.0 MB
  69. Sat Jan  4 04:04:29 2014  reading all ideals from disk
  70. Sat Jan  4 04:04:48 2014  memory use: 2398.8 MB
  71. Sat Jan  4 04:04:54 2014  keeping 52902618 ideals with weight <= 200, target excess is 323252
  72. Sat Jan  4 04:04:59 2014  commencing in-memory singleton removal
  73. Sat Jan  4 04:05:03 2014  begin with 63080084 relations and 52902618 unique ideals
  74. Sat Jan  4 04:05:37 2014  reduce to 63064184 relations and 52886708 ideals in 9 passes
  75. Sat Jan  4 04:05:37 2014  max relations containing the same ideal: 200
  76. Sat Jan  4 04:05:57 2014  removing 5544899 relations and 4544899 ideals in 1000000 cliques
  77. Sat Jan  4 04:05:59 2014  commencing in-memory singleton removal
  78. Sat Jan  4 04:06:02 2014  begin with 57519285 relations and 52886708 unique ideals
  79. Sat Jan  4 04:06:33 2014  reduce to 57137501 relations and 47952326 ideals in 9 passes
  80. Sat Jan  4 04:06:33 2014  max relations containing the same ideal: 196
  81. Sat Jan  4 04:06:51 2014  removing 4288149 relations and 3288149 ideals in 1000000 cliques
  82. Sat Jan  4 04:06:52 2014  commencing in-memory singleton removal
  83. Sat Jan  4 04:06:55 2014  begin with 52849352 relations and 47952326 unique ideals
  84. Sat Jan  4 04:07:20 2014  reduce to 52597109 relations and 44407481 ideals in 8 passes
  85. Sat Jan  4 04:07:20 2014  max relations containing the same ideal: 189
  86. Sat Jan  4 04:07:36 2014  removing 3905075 relations and 2905075 ideals in 1000000 cliques
  87. Sat Jan  4 04:07:37 2014  commencing in-memory singleton removal
  88. Sat Jan  4 04:07:40 2014  begin with 48692034 relations and 44407481 unique ideals
  89. Sat Jan  4 04:08:00 2014  reduce to 48469376 relations and 41275809 ideals in 7 passes
  90. Sat Jan  4 04:08:00 2014  max relations containing the same ideal: 177
  91. Sat Jan  4 04:08:15 2014  removing 3700469 relations and 2700469 ideals in 1000000 cliques
  92. Sat Jan  4 04:08:16 2014  commencing in-memory singleton removal
  93. Sat Jan  4 04:08:19 2014  begin with 44768907 relations and 41275809 unique ideals
  94. Sat Jan  4 04:08:39 2014  reduce to 44558073 relations and 38360588 ideals in 8 passes
  95. Sat Jan  4 04:08:39 2014  max relations containing the same ideal: 170
  96. Sat Jan  4 04:08:54 2014  removing 3571680 relations and 2571680 ideals in 1000000 cliques
  97. Sat Jan  4 04:08:55 2014  commencing in-memory singleton removal
  98. Sat Jan  4 04:08:57 2014  begin with 40986393 relations and 38360588 unique ideals
  99. Sat Jan  4 04:09:14 2014  reduce to 40778737 relations and 35577113 ideals in 7 passes
  100. Sat Jan  4 04:09:14 2014  max relations containing the same ideal: 160
  101. Sat Jan  4 04:09:27 2014  removing 3482713 relations and 2482713 ideals in 1000000 cliques
  102. Sat Jan  4 04:09:28 2014  commencing in-memory singleton removal
  103. Sat Jan  4 04:09:30 2014  begin with 37296024 relations and 35577113 unique ideals
  104. Sat Jan  4 04:09:47 2014  reduce to 37086387 relations and 32880363 ideals in 8 passes
  105. Sat Jan  4 04:09:47 2014  max relations containing the same ideal: 149
  106. Sat Jan  4 04:09:59 2014  removing 3419688 relations and 2419688 ideals in 1000000 cliques
  107. Sat Jan  4 04:10:00 2014  commencing in-memory singleton removal
  108. Sat Jan  4 04:10:02 2014  begin with 33666699 relations and 32880363 unique ideals
  109. Sat Jan  4 04:10:15 2014  reduce to 33448802 relations and 30237723 ideals in 7 passes
  110. Sat Jan  4 04:10:15 2014  max relations containing the same ideal: 144
  111. Sat Jan  4 04:10:26 2014  removing 3375626 relations and 2375626 ideals in 1000000 cliques
  112. Sat Jan  4 04:10:27 2014  commencing in-memory singleton removal
  113. Sat Jan  4 04:10:28 2014  begin with 30073176 relations and 30237723 unique ideals
  114. Sat Jan  4 04:10:40 2014  reduce to 29842225 relations and 27625359 ideals in 7 passes
  115. Sat Jan  4 04:10:40 2014  max relations containing the same ideal: 129
  116. Sat Jan  4 04:10:50 2014  removing 3344917 relations and 2344917 ideals in 1000000 cliques
  117. Sat Jan  4 04:10:51 2014  commencing in-memory singleton removal
  118. Sat Jan  4 04:10:52 2014  begin with 26497308 relations and 27625359 unique ideals
  119. Sat Jan  4 04:11:03 2014  reduce to 26244700 relations and 25020741 ideals in 7 passes
  120. Sat Jan  4 04:11:03 2014  max relations containing the same ideal: 116
  121. Sat Jan  4 04:11:11 2014  removing 2911966 relations and 2062980 ideals in 848986 cliques
  122. Sat Jan  4 04:11:12 2014  commencing in-memory singleton removal
  123. Sat Jan  4 04:11:13 2014  begin with 23332734 relations and 25020741 unique ideals
  124. Sat Jan  4 04:11:22 2014  reduce to 23112551 relations and 22731387 ideals in 7 passes
  125. Sat Jan  4 04:11:22 2014  max relations containing the same ideal: 109
  126. Sat Jan  4 04:11:33 2014  relations with 0 large ideals: 12190
  127. Sat Jan  4 04:11:33 2014  relations with 1 large ideals: 2673
  128. Sat Jan  4 04:11:33 2014  relations with 2 large ideals: 34040
  129. Sat Jan  4 04:11:33 2014  relations with 3 large ideals: 277251
  130. Sat Jan  4 04:11:33 2014  relations with 4 large ideals: 1240183
  131. Sat Jan  4 04:11:33 2014  relations with 5 large ideals: 3332605
  132. Sat Jan  4 04:11:33 2014  relations with 6 large ideals: 5613120
  133. Sat Jan  4 04:11:33 2014  relations with 7+ large ideals: 12600489
  134. Sat Jan  4 04:11:33 2014  commencing 2-way merge
  135. Sat Jan  4 04:11:43 2014  reduce to 15635852 relation sets and 15254688 unique ideals
  136. Sat Jan  4 04:11:43 2014  commencing full merge
  137. Sat Jan  4 04:16:25 2014  memory use: 2061.2 MB
  138. Sat Jan  4 04:16:26 2014  found 7094077 cycles, need 7084888
  139. Sat Jan  4 04:16:27 2014  weight of 7084888 cycles is about 822057086 (116.03/cycle)
  140. Sat Jan  4 04:16:27 2014  distribution of cycle lengths:
  141. Sat Jan  4 04:16:27 2014  1 relations: 261606
  142. Sat Jan  4 04:16:27 2014  2 relations: 427748
  143. Sat Jan  4 04:16:27 2014  3 relations: 516828
  144. Sat Jan  4 04:16:27 2014  4 relations: 538641
  145. Sat Jan  4 04:16:27 2014  5 relations: 551213
  146. Sat Jan  4 04:16:27 2014  6 relations: 539888
  147. Sat Jan  4 04:16:27 2014  7 relations: 527939
  148. Sat Jan  4 04:16:27 2014  8 relations: 499810
  149. Sat Jan  4 04:16:27 2014  9 relations: 465524
  150. Sat Jan  4 04:16:27 2014  10+ relations: 2755691
  151. Sat Jan  4 04:16:27 2014  heaviest cycle: 28 relations
  152. Sat Jan  4 04:16:29 2014  commencing cycle optimization
  153. Sat Jan  4 04:16:40 2014  start with 62199005 relations
  154. Sat Jan  4 04:18:30 2014  pruned 2975364 relations
  155. Sat Jan  4 04:18:30 2014  memory use: 1606.9 MB
  156. Sat Jan  4 04:18:30 2014  distribution of cycle lengths:
  157. Sat Jan  4 04:18:30 2014  1 relations: 261606
  158. Sat Jan  4 04:18:30 2014  2 relations: 438616
  159. Sat Jan  4 04:18:30 2014  3 relations: 540242
  160. Sat Jan  4 04:18:30 2014  4 relations: 562648
  161. Sat Jan  4 04:18:30 2014  5 relations: 579664
  162. Sat Jan  4 04:18:30 2014  6 relations: 567578
  163. Sat Jan  4 04:18:30 2014  7 relations: 556225
  164. Sat Jan  4 04:18:30 2014  8 relations: 523126
  165. Sat Jan  4 04:18:30 2014  9 relations: 486834
  166. Sat Jan  4 04:18:30 2014  10+ relations: 2568349
  167. Sat Jan  4 04:18:30 2014  heaviest cycle: 28 relations
  168. Sat Jan  4 04:18:40 2014  RelProcTime: 2858
  169. Sat Jan  4 04:18:40 2014  
  170. Sat Jan  4 04:18:40 2014  commencing linear algebra
  171. Sat Jan  4 04:18:42 2014  read 7084888 cycles
  172. Sat Jan  4 04:18:55 2014  cycles contain 22879044 unique relations
  173. Sat Jan  4 04:21:40 2014  read 22879044 relations
  174. Sat Jan  4 04:22:10 2014  using 20 quadratic characters above 1073741690
  175. Sat Jan  4 04:23:27 2014  building initial matrix
  176. Sat Jan  4 04:28:47 2014  memory use: 3014.8 MB
  177. Sat Jan  4 04:28:50 2014  read 7084888 cycles
  178. Sat Jan  4 04:28:54 2014  matrix is 7084711 x 7084888 (3215.9 MB) with weight 938172246 (132.42/col)
  179. Sat Jan  4 04:28:54 2014  sparse part has weight 765097809 (107.99/col)
  180. Sat Jan  4 04:29:56 2014  filtering completed in 2 passes
  181. Sat Jan  4 04:29:57 2014  matrix is 7084658 x 7084835 (3215.9 MB) with weight 938170178 (132.42/col)
  182. Sat Jan  4 04:29:57 2014  sparse part has weight 765097131 (107.99/col)
  183. Sat Jan  4 04:31:15 2014  matrix starts at (0, 0)
  184. Sat Jan  4 04:31:16 2014  matrix is 7084658 x 7084835 (3215.9 MB) with weight 938170178 (132.42/col)
  185. Sat Jan  4 04:31:16 2014  sparse part has weight 765097131 (107.99/col)
  186. Sat Jan  4 04:31:16 2014  saving the first 48 matrix rows for later
  187. Sat Jan  4 04:31:17 2014  matrix includes 64 packed rows
  188. Sat Jan  4 04:31:17 2014  matrix is 7084610 x 7084835 (3089.4 MB) with weight 799386291 (112.83/col)
  189. Sat Jan  4 04:31:17 2014  sparse part has weight 739025750 (104.31/col)
  190. Sat Jan  4 04:31:17 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  191. Sat Jan  4 04:31:41 2014  commencing Lanczos iteration (3 threads)
  192. Sat Jan  4 04:31:41 2014  memory use: 2609.0 MB
  193. Sat Jan  4 04:33:04 2014  linear algebra at 0.0%, ETA 102h27m
  194. Sat Jan  4 04:33:29 2014  checkpointing every 80000 dimensions
  195. Mon Jan  6 04:55:18 2014  lanczos halted after 112038 iterations (dim = 7084607)
  196. Mon Jan  6 04:55:29 2014  recovered 43 nontrivial dependencies
  197. Mon Jan  6 04:55:29 2014  BLanczosTime: 175009
  198. Mon Jan  6 04:55:29 2014  
  199. Mon Jan  6 04:55:29 2014  commencing square root phase
  200. Mon Jan  6 04:55:29 2014  handling dependencies 1 to 64
  201. Mon Jan  6 04:55:29 2014  reading relations for dependency 1
  202. Mon Jan  6 04:55:32 2014  read 3541434 cycles
  203. Mon Jan  6 04:55:37 2014  cycles contain 11438534 unique relations
  204. Mon Jan  6 04:58:07 2014  read 11438534 relations
  205. Mon Jan  6 04:58:43 2014  multiplying 11438534 relations
  206. Mon Jan  6 05:07:17 2014  multiply complete, coefficients have about 398.75 million bits
  207. Mon Jan  6 05:07:18 2014  initial square root is modulo 14285731
  208. Mon Jan  6 05:16:38 2014  GCD is 1, no factor found
  209. Mon Jan  6 05:16:38 2014  reading relations for dependency 2
  210. Mon Jan  6 05:16:41 2014  read 3541842 cycles
  211. Mon Jan  6 05:16:46 2014  cycles contain 11440362 unique relations
  212. Mon Jan  6 05:18:52 2014  read 11440362 relations
  213. Mon Jan  6 05:19:28 2014  multiplying 11440362 relations
  214. Mon Jan  6 05:28:02 2014  multiply complete, coefficients have about 398.82 million bits
  215. Mon Jan  6 05:28:03 2014  initial square root is modulo 14323627
  216. Mon Jan  6 05:37:23 2014  GCD is 1, no factor found
  217. Mon Jan  6 05:37:23 2014  reading relations for dependency 3
  218. Mon Jan  6 05:37:26 2014  read 3542900 cycles
  219. Mon Jan  6 05:37:31 2014  cycles contain 11440452 unique relations
  220. Mon Jan  6 05:39:38 2014  read 11440452 relations
  221. Mon Jan  6 05:40:13 2014  multiplying 11440452 relations
  222. Mon Jan  6 05:48:47 2014  multiply complete, coefficients have about 398.82 million bits
  223. Mon Jan  6 05:48:48 2014  initial square root is modulo 14324383
  224. Mon Jan  6 05:58:08 2014  GCD is N, no factor found
  225. Mon Jan  6 05:58:08 2014  reading relations for dependency 4
  226. Mon Jan  6 05:58:11 2014  read 3543372 cycles
  227. Mon Jan  6 05:58:16 2014  cycles contain 11443574 unique relations
  228. Mon Jan  6 06:00:24 2014  read 11443574 relations
  229. Mon Jan  6 06:01:00 2014  multiplying 11443574 relations
  230. Mon Jan  6 06:09:35 2014  multiply complete, coefficients have about 398.91 million bits
  231. Mon Jan  6 06:09:36 2014  initial square root is modulo 14381707
  232. Mon Jan  6 06:18:56 2014  GCD is N, no factor found
  233. Mon Jan  6 06:18:56 2014  reading relations for dependency 5
  234. Mon Jan  6 06:18:59 2014  read 3541004 cycles
  235. Mon Jan  6 06:19:04 2014  cycles contain 11438808 unique relations
  236. Mon Jan  6 06:21:12 2014  read 11438808 relations
  237. Mon Jan  6 06:21:47 2014  multiplying 11438808 relations
  238. Mon Jan  6 06:30:21 2014  multiply complete, coefficients have about 398.75 million bits
  239. Mon Jan  6 06:30:22 2014  initial square root is modulo 14286301
  240. Mon Jan  6 06:39:42 2014  sqrtTime: 6253
  241. Mon Jan  6 06:39:42 2014  prp63 factor: 324819903042572690877938389549033182515857945680794580212896547
  242. Mon Jan  6 06:39:42 2014  prp113 factor: 59415826705562741535743181250674227809897485523306694691882355145307205722384865631737407933360702672443076239647
  243. Mon Jan  6 06:39:42 2014  elapsed time 51:08:41
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