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GC_3_506

CarlosPinho May 28th, 2016 32 Never
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  1. Fri Oct 24 00:39:22 2014  
  2. Fri Oct 24 00:39:22 2014  
  3. Fri Oct 24 00:39:22 2014  Msieve v. 1.52 (SVN 946)
  4. Fri Oct 24 00:39:22 2014  random seeds: 5b4a04ac aecb85eb
  5. Fri Oct 24 00:39:22 2014  factoring 12453844677732040915111071175687067562410129112238964292270981600355884254591911155601284284678108776937882382785681108530493459564533106625950387656134046896020256487637498324279619079746225156159152409501017679919163 (218 digits)
  6. Fri Oct 24 00:39:23 2014  no P-1/P+1/ECM available, skipping
  7. Fri Oct 24 00:39:23 2014  commencing number field sieve (218-digit input)
  8. Fri Oct 24 00:39:23 2014  R0: -11972515182562019788602740026717047105681
  9. Fri Oct 24 00:39:23 2014  R1: 1
  10. Fri Oct 24 00:39:23 2014  A0: 1
  11. Fri Oct 24 00:39:23 2014  A1: 0
  12. Fri Oct 24 00:39:23 2014  A2: 0
  13. Fri Oct 24 00:39:23 2014  A3: 0
  14. Fri Oct 24 00:39:23 2014  A4: 0
  15. Fri Oct 24 00:39:23 2014  A5: 0
  16. Fri Oct 24 00:39:23 2014  A6: 4554
  17. Fri Oct 24 00:39:23 2014  skew 1.00, size 3.481e-012, alpha -0.029, combined = 2.838e-013 rroots = 0
  18. Fri Oct 24 00:39:23 2014  
  19. Fri Oct 24 00:39:23 2014  commencing relation filtering
  20. Fri Oct 24 00:39:23 2014  setting target matrix density to 128.0
  21. Fri Oct 24 00:39:23 2014  estimated available RAM is 16333.7 MB
  22. Fri Oct 24 00:39:23 2014  commencing duplicate removal, pass 1
  23. <errors reading relations>
  24. Fri Oct 24 01:12:52 2014  skipped 722 relations with b > 2^32
  25. Fri Oct 24 01:12:52 2014  found 51819586 hash collisions in 250710127 relations
  26. Fri Oct 24 01:13:15 2014  added 1218183 free relations
  27. Fri Oct 24 01:13:15 2014  commencing duplicate removal, pass 2
  28. Fri Oct 24 01:15:24 2014  found 51638528 duplicates and 200289782 unique relations
  29. Fri Oct 24 01:15:24 2014  memory use: 1321.5 MB
  30. Fri Oct 24 01:15:24 2014  reading ideals above 174915584
  31. Fri Oct 24 01:15:24 2014  commencing singleton removal, initial pass
  32. Fri Oct 24 01:45:09 2014  memory use: 3012.0 MB
  33. Fri Oct 24 01:45:09 2014  reading all ideals from disk
  34. Fri Oct 24 01:45:17 2014  memory use: 3280.1 MB
  35. Fri Oct 24 01:45:29 2014  commencing in-memory singleton removal
  36. Fri Oct 24 01:45:40 2014  begin with 200289782 relations and 157784318 unique ideals
  37. Fri Oct 24 01:47:38 2014  reduce to 134812606 relations and 86007032 ideals in 14 passes
  38. Fri Oct 24 01:47:38 2014  max relations containing the same ideal: 38
  39. Fri Oct 24 01:47:49 2014  reading ideals above 720000
  40. Fri Oct 24 01:47:49 2014  commencing singleton removal, initial pass
  41. Fri Oct 24 02:13:07 2014  memory use: 2756.0 MB
  42. Fri Oct 24 02:13:07 2014  reading all ideals from disk
  43. Fri Oct 24 02:13:23 2014  memory use: 5275.0 MB
  44. Fri Oct 24 02:13:47 2014  keeping 104844262 ideals with weight <= 200, target excess is 685954
  45. Fri Oct 24 02:14:09 2014  commencing in-memory singleton removal
  46. Fri Oct 24 02:14:27 2014  begin with 134812606 relations and 104844262 unique ideals
  47. Fri Oct 24 02:17:05 2014  reduce to 134803304 relations and 104834959 ideals in 9 passes
  48. Fri Oct 24 02:17:05 2014  max relations containing the same ideal: 200
  49. Fri Oct 24 02:18:28 2014  removing 10367156 relations and 8367156 ideals in 2000000 cliques
  50. Fri Oct 24 02:18:31 2014  commencing in-memory singleton removal
  51. Fri Oct 24 02:18:48 2014  begin with 124436148 relations and 104834959 unique ideals
  52. Fri Oct 24 02:20:56 2014  reduce to 123856972 relations and 95877931 ideals in 8 passes
  53. Fri Oct 24 02:20:56 2014  max relations containing the same ideal: 196
  54. Fri Oct 24 02:22:12 2014  removing 7893664 relations and 5893664 ideals in 2000000 cliques
  55. Fri Oct 24 02:22:15 2014  commencing in-memory singleton removal
  56. Fri Oct 24 02:22:30 2014  begin with 115963308 relations and 95877931 unique ideals
  57. Fri Oct 24 02:24:39 2014  reduce to 115576335 relations and 89590929 ideals in 9 passes
  58. Fri Oct 24 02:24:39 2014  max relations containing the same ideal: 189
  59. Fri Oct 24 02:25:50 2014  removing 7163483 relations and 5163483 ideals in 2000000 cliques
  60. Fri Oct 24 02:25:52 2014  commencing in-memory singleton removal
  61. Fri Oct 24 02:26:06 2014  begin with 108412852 relations and 89590929 unique ideals
  62. Fri Oct 24 02:27:37 2014  reduce to 108074695 relations and 84083768 ideals in 7 passes
  63. Fri Oct 24 02:27:37 2014  max relations containing the same ideal: 185
  64. Fri Oct 24 02:28:43 2014  removing 6784427 relations and 4784427 ideals in 2000000 cliques
  65. Fri Oct 24 02:28:45 2014  commencing in-memory singleton removal
  66. Fri Oct 24 02:28:58 2014  begin with 101290268 relations and 84083768 unique ideals
  67. Fri Oct 24 02:30:21 2014  reduce to 100974714 relations and 78978513 ideals in 7 passes
  68. Fri Oct 24 02:30:21 2014  max relations containing the same ideal: 175
  69. Fri Oct 24 02:31:22 2014  removing 6546147 relations and 4546147 ideals in 2000000 cliques
  70. Fri Oct 24 02:31:24 2014  commencing in-memory singleton removal
  71. Fri Oct 24 02:31:35 2014  begin with 94428567 relations and 78978513 unique ideals
  72. Fri Oct 24 02:33:02 2014  reduce to 94123740 relations and 74122236 ideals in 8 passes
  73. Fri Oct 24 02:33:02 2014  max relations containing the same ideal: 168
  74. Fri Oct 24 02:33:58 2014  removing 6382199 relations and 4382199 ideals in 2000000 cliques
  75. Fri Oct 24 02:34:00 2014  commencing in-memory singleton removal
  76. Fri Oct 24 02:34:11 2014  begin with 87741541 relations and 74122236 unique ideals
  77. Fri Oct 24 02:35:29 2014  reduce to 87441063 relations and 69433867 ideals in 8 passes
  78. Fri Oct 24 02:35:29 2014  max relations containing the same ideal: 160
  79. Fri Oct 24 02:36:21 2014  removing 6258096 relations and 4258096 ideals in 2000000 cliques
  80. Fri Oct 24 02:36:22 2014  commencing in-memory singleton removal
  81. Fri Oct 24 02:36:32 2014  begin with 81182967 relations and 69433867 unique ideals
  82. Fri Oct 24 02:37:34 2014  reduce to 80881798 relations and 64868661 ideals in 7 passes
  83. Fri Oct 24 02:37:34 2014  max relations containing the same ideal: 151
  84. Fri Oct 24 02:38:22 2014  removing 6165334 relations and 4165334 ideals in 2000000 cliques
  85. Fri Oct 24 02:38:24 2014  commencing in-memory singleton removal
  86. Fri Oct 24 02:38:32 2014  begin with 74716464 relations and 64868661 unique ideals
  87. Fri Oct 24 02:39:28 2014  reduce to 74408761 relations and 60388790 ideals in 7 passes
  88. Fri Oct 24 02:39:28 2014  max relations containing the same ideal: 145
  89. Fri Oct 24 02:40:12 2014  removing 6092756 relations and 4092756 ideals in 2000000 cliques
  90. Fri Oct 24 02:40:13 2014  commencing in-memory singleton removal
  91. Fri Oct 24 02:40:21 2014  begin with 68316005 relations and 60388790 unique ideals
  92. Fri Oct 24 02:41:11 2014  reduce to 67998277 relations and 55970911 ideals in 7 passes
  93. Fri Oct 24 02:41:11 2014  max relations containing the same ideal: 138
  94. Fri Oct 24 02:41:50 2014  removing 6037817 relations and 4037817 ideals in 2000000 cliques
  95. Fri Oct 24 02:41:51 2014  commencing in-memory singleton removal
  96. Fri Oct 24 02:41:58 2014  begin with 61960460 relations and 55970911 unique ideals
  97. Fri Oct 24 02:42:36 2014  reduce to 61629094 relations and 51593420 ideals in 6 passes
  98. Fri Oct 24 02:42:36 2014  max relations containing the same ideal: 127
  99. Fri Oct 24 02:43:12 2014  removing 5992510 relations and 3992510 ideals in 2000000 cliques
  100. Fri Oct 24 02:43:14 2014  commencing in-memory singleton removal
  101. Fri Oct 24 02:43:20 2014  begin with 55636584 relations and 51593420 unique ideals
  102. Fri Oct 24 02:43:53 2014  reduce to 55282455 relations and 47237007 ideals in 6 passes
  103. Fri Oct 24 02:43:53 2014  max relations containing the same ideal: 118
  104. Fri Oct 24 02:44:26 2014  removing 5963584 relations and 3963584 ideals in 2000000 cliques
  105. Fri Oct 24 02:44:27 2014  commencing in-memory singleton removal
  106. Fri Oct 24 02:44:32 2014  begin with 49318871 relations and 47237007 unique ideals
  107. Fri Oct 24 02:45:11 2014  reduce to 48933021 relations and 42875564 ideals in 8 passes
  108. Fri Oct 24 02:45:11 2014  max relations containing the same ideal: 112
  109. Fri Oct 24 02:45:40 2014  removing 5942504 relations and 3942504 ideals in 2000000 cliques
  110. Fri Oct 24 02:45:41 2014  commencing in-memory singleton removal
  111. Fri Oct 24 02:45:46 2014  begin with 42990517 relations and 42875564 unique ideals
  112. Fri Oct 24 02:46:19 2014  reduce to 42553902 relations and 38481629 ideals in 8 passes
  113. Fri Oct 24 02:46:19 2014  max relations containing the same ideal: 101
  114. Fri Oct 24 02:46:44 2014  removing 5948495 relations and 3948495 ideals in 2000000 cliques
  115. Fri Oct 24 02:46:46 2014  commencing in-memory singleton removal
  116. Fri Oct 24 02:46:49 2014  begin with 36605407 relations and 38481629 unique ideals
  117. Fri Oct 24 02:47:13 2014  reduce to 36084988 relations and 33992420 ideals in 7 passes
  118. Fri Oct 24 02:47:13 2014  max relations containing the same ideal: 91
  119. Fri Oct 24 02:47:35 2014  removing 4188610 relations and 2891749 ideals in 1296861 cliques
  120. Fri Oct 24 02:47:36 2014  commencing in-memory singleton removal
  121. Fri Oct 24 02:47:39 2014  begin with 31896378 relations and 33992420 unique ideals
  122. Fri Oct 24 02:47:59 2014  reduce to 31556949 relations and 30750401 ideals in 7 passes
  123. Fri Oct 24 02:47:59 2014  max relations containing the same ideal: 82
  124. Fri Oct 24 02:48:18 2014  removing 70251 relations and 59410 ideals in 10841 cliques
  125. Fri Oct 24 02:48:19 2014  commencing in-memory singleton removal
  126. Fri Oct 24 02:48:22 2014  begin with 31486698 relations and 30750401 unique ideals
  127. Fri Oct 24 02:48:34 2014  reduce to 31486599 relations and 30690892 ideals in 4 passes
  128. Fri Oct 24 02:48:34 2014  max relations containing the same ideal: 82
  129. Fri Oct 24 02:48:39 2014  relations with 0 large ideals: 26012
  130. Fri Oct 24 02:48:39 2014  relations with 1 large ideals: 11761
  131. Fri Oct 24 02:48:39 2014  relations with 2 large ideals: 157579
  132. Fri Oct 24 02:48:39 2014  relations with 3 large ideals: 991913
  133. Fri Oct 24 02:48:39 2014  relations with 4 large ideals: 3348958
  134. Fri Oct 24 02:48:39 2014  relations with 5 large ideals: 6728169
  135. Fri Oct 24 02:48:39 2014  relations with 6 large ideals: 8428356
  136. Fri Oct 24 02:48:39 2014  relations with 7+ large ideals: 11793851
  137. Fri Oct 24 02:48:39 2014  commencing 2-way merge
  138. Fri Oct 24 02:49:02 2014  reduce to 21407222 relation sets and 20611515 unique ideals
  139. Fri Oct 24 02:49:02 2014  commencing full merge
  140. Fri Oct 24 03:00:00 2014  memory use: 2689.5 MB
  141. Fri Oct 24 03:00:03 2014  found 9474567 cycles, need 9449715
  142. Fri Oct 24 03:00:04 2014  weight of 9449715 cycles is about 1209938629 (128.04/cycle)
  143. Fri Oct 24 03:00:04 2014  distribution of cycle lengths:
  144. Fri Oct 24 03:00:04 2014  1 relations: 288304
  145. Fri Oct 24 03:00:04 2014  2 relations: 475369
  146. Fri Oct 24 03:00:04 2014  3 relations: 599477
  147. Fri Oct 24 03:00:04 2014  4 relations: 646403
  148. Fri Oct 24 03:00:04 2014  5 relations: 689847
  149. Fri Oct 24 03:00:04 2014  6 relations: 703674
  150. Fri Oct 24 03:00:04 2014  7 relations: 698505
  151. Fri Oct 24 03:00:04 2014  8 relations: 679530
  152. Fri Oct 24 03:00:04 2014  9 relations: 642369
  153. Fri Oct 24 03:00:04 2014  10+ relations: 4026237
  154. Fri Oct 24 03:00:04 2014  heaviest cycle: 28 relations
  155. Fri Oct 24 03:00:06 2014  commencing cycle optimization
  156. Fri Oct 24 03:00:28 2014  start with 87719787 relations
  157. Fri Oct 24 03:05:23 2014  pruned 4588068 relations
  158. Fri Oct 24 03:05:23 2014  memory use: 2213.5 MB
  159. Fri Oct 24 03:05:23 2014  distribution of cycle lengths:
  160. Fri Oct 24 03:05:23 2014  1 relations: 288304
  161. Fri Oct 24 03:05:23 2014  2 relations: 488120
  162. Fri Oct 24 03:05:23 2014  3 relations: 626215
  163. Fri Oct 24 03:05:23 2014  4 relations: 677663
  164. Fri Oct 24 03:05:23 2014  5 relations: 730457
  165. Fri Oct 24 03:05:23 2014  6 relations: 744411
  166. Fri Oct 24 03:05:23 2014  7 relations: 743509
  167. Fri Oct 24 03:05:23 2014  8 relations: 720130
  168. Fri Oct 24 03:05:23 2014  9 relations: 678509
  169. Fri Oct 24 03:05:23 2014  10+ relations: 3752397
  170. Fri Oct 24 03:05:23 2014  heaviest cycle: 28 relations
  171. Fri Oct 24 03:05:56 2014  RelProcTime: 8793
  172. Fri Oct 24 03:05:56 2014  
  173. Fri Oct 24 03:05:56 2014  commencing linear algebra
  174. Fri Oct 24 03:05:57 2014  read 9449715 cycles
  175. Fri Oct 24 03:06:23 2014  cycles contain 31106890 unique relations
  176. Fri Oct 24 03:11:04 2014  read 31106890 relations
  177. Fri Oct 24 03:12:22 2014  using 20 quadratic characters above 2147482698
  178. Fri Oct 24 03:14:13 2014  building initial matrix
  179. Fri Oct 24 03:22:18 2014  memory use: 4080.9 MB
  180. Fri Oct 24 03:22:26 2014  read 9449715 cycles
  181. Fri Oct 24 03:22:29 2014  matrix is 9449538 x 9449715 (4652.1 MB) with weight 1336833304 (141.47/col)
  182. Fri Oct 24 03:22:29 2014  sparse part has weight 1115572439 (118.05/col)
  183. Fri Oct 24 03:25:00 2014  filtering completed in 2 passes
  184. Fri Oct 24 03:25:02 2014  matrix is 9449450 x 9449627 (4652.1 MB) with weight 1336830112 (141.47/col)
  185. Fri Oct 24 03:25:02 2014  sparse part has weight 1115571381 (118.05/col)
  186. Fri Oct 24 03:25:42 2014  matrix starts at (0, 0)
  187. Fri Oct 24 03:25:44 2014  matrix is 9449450 x 9449627 (4652.1 MB) with weight 1336830112 (141.47/col)
  188. Fri Oct 24 03:25:44 2014  sparse part has weight 1115571381 (118.05/col)
  189. Fri Oct 24 03:25:44 2014  saving the first 48 matrix rows for later
  190. Fri Oct 24 03:25:47 2014  matrix includes 64 packed rows
  191. Fri Oct 24 03:25:49 2014  matrix is 9449402 x 9449627 (4454.4 MB) with weight 1152954369 (122.01/col)
  192. Fri Oct 24 03:25:49 2014  sparse part has weight 1073206722 (113.57/col)
  193. Fri Oct 24 03:25:49 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  194. Fri Oct 24 03:26:38 2014  commencing Lanczos iteration (4 threads)
  195. Fri Oct 24 03:26:38 2014  memory use: 3755.4 MB
  196. Fri Oct 24 03:27:13 2014  linear algebra at 0.0%, ETA 58h37m
  197. Fri Oct 24 03:27:25 2014  checkpointing every 160000 dimensions
  198. Sun Oct 26 12:46:37 2014  lanczos halted after 149431 iterations (dim = 9449402)
  199. Sun Oct 26 12:46:52 2014  recovered 39 nontrivial dependencies
  200. Sun Oct 26 12:46:58 2014  BLanczosTime: 211262
  201. Sun Oct 26 12:46:58 2014  
  202. Sun Oct 26 12:46:58 2014  commencing square root phase
  203. Sun Oct 26 12:46:58 2014  handling dependencies 1 to 64
  204. Sun Oct 26 12:46:58 2014  reading relations for dependency 1
  205. Sun Oct 26 12:46:59 2014  read 4724555 cycles
  206. Sun Oct 26 12:47:07 2014  cycles contain 15555502 unique relations
  207. Sun Oct 26 12:49:35 2014  read 15555502 relations
  208. Sun Oct 26 12:50:43 2014  multiplying 15555502 relations
  209. Sun Oct 26 13:06:48 2014  multiply complete, coefficients have about 562.23 million bits
  210. Sun Oct 26 13:06:53 2014  initial square root is modulo 110899
  211. Sun Oct 26 13:25:43 2014  GCD is N, no factor found
  212. Sun Oct 26 13:25:43 2014  reading relations for dependency 2
  213. Sun Oct 26 13:25:44 2014  read 4725647 cycles
  214. Sun Oct 26 13:25:51 2014  cycles contain 15554284 unique relations
  215. Sun Oct 26 13:28:19 2014  read 15554284 relations
  216. Sun Oct 26 13:29:27 2014  multiplying 15554284 relations
  217. Sun Oct 26 13:45:32 2014  multiply complete, coefficients have about 562.19 million bits
  218. Sun Oct 26 13:45:37 2014  initial square root is modulo 110629
  219. Sun Oct 26 14:05:55 2014  sqrtTime: 4737
  220. Sun Oct 26 14:05:55 2014  prp79 factor: 6688742297899204875322374265538672579514865892235600753677914269234448014753053
  221. Sun Oct 26 14:05:55 2014  prp139 factor: 1861911271666653241702957318630794579144189108153339143646795162302908129437080678440534302552559816314796163641967314447270652784487170871
  222. Sun Oct 26 14:05:55 2014  elapsed time 62:26:33
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