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Lucas(2040)

a guest Sep 2nd, 2018 55 Never
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  1.  
  2. Fri Aug 31 01:39:24 2018  
  3. Fri Aug 31 01:39:24 2018  Msieve v. 1.54 (SVN 1025)
  4. Fri Aug 31 01:39:24 2018  random seeds: 2fc4a17c cbfc0f63
  5. Fri Aug 31 01:39:24 2018  factoring 411450624832313934088702031877185947269852784521554249151791775181814915808108552148371779318774586949498297771097809314745885854225343173030306663385165796420551666843400995976032526238443710417436260614264481 (210 digits)
  6. Fri Aug 31 01:39:25 2018  searching for 15-digit factors
  7. Fri Aug 31 01:39:26 2018  commencing number field sieve (210-digit input)
  8. Fri Aug 31 01:39:26 2018  R0: 699259133978938420550028971714417160188479526095241271647
  9. Fri Aug 31 01:39:26 2018  R1: -1
  10. Fri Aug 31 01:39:26 2018  A0: 1
  11. Fri Aug 31 01:39:26 2018  A1: -4
  12. Fri Aug 31 01:39:26 2018  A2: -4
  13. Fri Aug 31 01:39:26 2018  A3: 1
  14. Fri Aug 31 01:39:26 2018  A4: 1
  15. Fri Aug 31 01:39:26 2018  skew 1.00, size 3.878e-23, alpha 2.444, combined = 8.203e-14 rroots = 4
  16. Fri Aug 31 01:39:26 2018  
  17. Fri Aug 31 01:39:26 2018  commencing relation filtering
  18. Fri Aug 31 01:39:26 2018  setting target matrix density to 124.0
  19. Fri Aug 31 01:39:26 2018  estimated available RAM is 16007.4 MB
  20. Fri Aug 31 01:39:26 2018  commencing duplicate removal, pass 1
  21. Fri Aug 31 01:41:42 2018  error -15 reading relation 19952197
  22. Fri Aug 31 01:52:45 2018  error -6 reading relation 117614156
  23. Fri Aug 31 01:55:01 2018  error -15 reading relation 137579018
  24. Fri Aug 31 01:59:57 2018  error -15 reading relation 181016629
  25. Fri Aug 31 02:00:36 2018  error -15 reading relation 186587877
  26. Fri Aug 31 02:00:37 2018  error -15 reading relation 186759487
  27. Fri Aug 31 02:02:01 2018  error -1 reading relation 198963752
  28. Fri Aug 31 02:02:24 2018  error -1 reading relation 202315922
  29. Fri Aug 31 02:02:53 2018  error -1 reading relation 206529374
  30. Fri Aug 31 02:02:56 2018  skipped 4035 relations with b > 2^32
  31. Fri Aug 31 02:02:56 2018  skipped 2 relations with composite factors
  32. Fri Aug 31 02:02:56 2018  found 9355855 hash collisions in 206930000 relations
  33. Fri Aug 31 02:03:02 2018  added 3657495 free relations
  34. Fri Aug 31 02:03:02 2018  commencing duplicate removal, pass 2
  35. Fri Aug 31 02:04:03 2018  found 0 duplicates and 210587495 unique relations
  36. Fri Aug 31 02:04:03 2018  memory use: 522.4 MB
  37. Fri Aug 31 02:04:03 2018  reading ideals above 179896320
  38. Fri Aug 31 02:04:03 2018  commencing singleton removal, initial pass
  39. Fri Aug 31 02:21:18 2018  memory use: 3012.0 MB
  40. Fri Aug 31 02:21:18 2018  reading all ideals from disk
  41. Fri Aug 31 02:21:25 2018  memory use: 3389.1 MB
  42. Fri Aug 31 02:21:31 2018  commencing in-memory singleton removal
  43. Fri Aug 31 02:21:38 2018  begin with 210587495 relations and 155797768 unique ideals
  44. Fri Aug 31 02:22:42 2018  reduce to 148756954 relations and 88445249 ideals in 11 passes
  45. Fri Aug 31 02:22:42 2018  max relations containing the same ideal: 47
  46. Fri Aug 31 02:22:48 2018  reading ideals above 720000
  47. Fri Aug 31 02:22:48 2018  commencing singleton removal, initial pass
  48. Fri Aug 31 02:38:39 2018  memory use: 3012.0 MB
  49. Fri Aug 31 02:38:39 2018  reading all ideals from disk
  50. Fri Aug 31 02:38:56 2018  memory use: 5981.6 MB
  51. Fri Aug 31 02:39:10 2018  keeping 107673715 ideals with weight <= 200, target excess is 820099
  52. Fri Aug 31 02:39:27 2018  commencing in-memory singleton removal
  53. Fri Aug 31 02:39:38 2018  begin with 148756954 relations and 107673715 unique ideals
  54. Fri Aug 31 02:40:54 2018  reduce to 148750869 relations and 107667606 ideals in 6 passes
  55. Fri Aug 31 02:40:54 2018  max relations containing the same ideal: 200
  56. Fri Aug 31 02:41:49 2018  removing 9329951 relations and 7329951 ideals in 2000000 cliques
  57. Fri Aug 31 02:41:52 2018  commencing in-memory singleton removal
  58. Fri Aug 31 02:42:03 2018  begin with 139420918 relations and 107667606 unique ideals
  59. Fri Aug 31 02:43:26 2018  reduce to 138987266 relations and 99896543 ideals in 7 passes
  60. Fri Aug 31 02:43:26 2018  max relations containing the same ideal: 199
  61. Fri Aug 31 02:44:17 2018  removing 7129764 relations and 5129764 ideals in 2000000 cliques
  62. Fri Aug 31 02:44:20 2018  commencing in-memory singleton removal
  63. Fri Aug 31 02:44:29 2018  begin with 131857502 relations and 99896543 unique ideals
  64. Fri Aug 31 02:45:50 2018  reduce to 131567504 relations and 94472358 ideals in 8 passes
  65. Fri Aug 31 02:45:50 2018  max relations containing the same ideal: 193
  66. Fri Aug 31 02:46:35 2018  removing 6507569 relations and 4507569 ideals in 2000000 cliques
  67. Fri Aug 31 02:46:38 2018  commencing in-memory singleton removal
  68. Fri Aug 31 02:46:46 2018  begin with 125059935 relations and 94472358 unique ideals
  69. Fri Aug 31 02:47:45 2018  reduce to 124813260 relations and 89714386 ideals in 6 passes
  70. Fri Aug 31 02:47:45 2018  max relations containing the same ideal: 189
  71. Fri Aug 31 02:48:27 2018  removing 6174093 relations and 4174093 ideals in 2000000 cliques
  72. Fri Aug 31 02:48:30 2018  commencing in-memory singleton removal
  73. Fri Aug 31 02:48:38 2018  begin with 118639167 relations and 89714386 unique ideals
  74. Fri Aug 31 02:49:33 2018  reduce to 118414937 relations and 85312656 ideals in 6 passes
  75. Fri Aug 31 02:49:33 2018  max relations containing the same ideal: 183
  76. Fri Aug 31 02:50:14 2018  removing 5962438 relations and 3962438 ideals in 2000000 cliques
  77. Fri Aug 31 02:50:17 2018  commencing in-memory singleton removal
  78. Fri Aug 31 02:50:24 2018  begin with 112452499 relations and 85312656 unique ideals
  79. Fri Aug 31 02:51:16 2018  reduce to 112241379 relations and 81135621 ideals in 6 passes
  80. Fri Aug 31 02:51:16 2018  max relations containing the same ideal: 177
  81. Fri Aug 31 02:51:55 2018  removing 5809225 relations and 3809225 ideals in 2000000 cliques
  82. Fri Aug 31 02:51:57 2018  commencing in-memory singleton removal
  83. Fri Aug 31 02:52:05 2018  begin with 106432154 relations and 81135621 unique ideals
  84. Fri Aug 31 02:52:53 2018  reduce to 106228061 relations and 77118911 ideals in 6 passes
  85. Fri Aug 31 02:52:53 2018  max relations containing the same ideal: 172
  86. Fri Aug 31 02:53:30 2018  removing 5694266 relations and 3694266 ideals in 2000000 cliques
  87. Fri Aug 31 02:53:33 2018  commencing in-memory singleton removal
  88. Fri Aug 31 02:53:39 2018  begin with 100533795 relations and 77118911 unique ideals
  89. Fri Aug 31 02:54:25 2018  reduce to 100332954 relations and 73220267 ideals in 6 passes
  90. Fri Aug 31 02:54:25 2018  max relations containing the same ideal: 166
  91. Fri Aug 31 02:55:00 2018  removing 5605783 relations and 3605783 ideals in 2000000 cliques
  92. Fri Aug 31 02:55:02 2018  commencing in-memory singleton removal
  93. Fri Aug 31 02:55:08 2018  begin with 94727171 relations and 73220267 unique ideals
  94. Fri Aug 31 02:55:50 2018  reduce to 94527406 relations and 69410907 ideals in 6 passes
  95. Fri Aug 31 02:55:50 2018  max relations containing the same ideal: 160
  96. Fri Aug 31 02:56:22 2018  removing 5532688 relations and 3532688 ideals in 2000000 cliques
  97. Fri Aug 31 02:56:25 2018  commencing in-memory singleton removal
  98. Fri Aug 31 02:56:30 2018  begin with 88994718 relations and 69410907 unique ideals
  99. Fri Aug 31 02:57:09 2018  reduce to 88792916 relations and 65672548 ideals in 6 passes
  100. Fri Aug 31 02:57:09 2018  max relations containing the same ideal: 155
  101. Fri Aug 31 02:57:40 2018  removing 5475816 relations and 3475816 ideals in 2000000 cliques
  102. Fri Aug 31 02:57:42 2018  commencing in-memory singleton removal
  103. Fri Aug 31 02:57:47 2018  begin with 83317100 relations and 65672548 unique ideals
  104. Fri Aug 31 02:58:24 2018  reduce to 83112211 relations and 61987655 ideals in 6 passes
  105. Fri Aug 31 02:58:24 2018  max relations containing the same ideal: 153
  106. Fri Aug 31 02:58:52 2018  removing 5428271 relations and 3428271 ideals in 2000000 cliques
  107. Fri Aug 31 02:58:54 2018  commencing in-memory singleton removal
  108. Fri Aug 31 02:58:59 2018  begin with 77683940 relations and 61987655 unique ideals
  109. Fri Aug 31 02:59:33 2018  reduce to 77473710 relations and 58344340 ideals in 6 passes
  110. Fri Aug 31 02:59:33 2018  max relations containing the same ideal: 146
  111. Fri Aug 31 03:00:00 2018  removing 5388845 relations and 3388845 ideals in 2000000 cliques
  112. Fri Aug 31 03:00:02 2018  commencing in-memory singleton removal
  113. Fri Aug 31 03:00:07 2018  begin with 72084865 relations and 58344340 unique ideals
  114. Fri Aug 31 03:00:33 2018  reduce to 71866278 relations and 54731904 ideals in 5 passes
  115. Fri Aug 31 03:00:33 2018  max relations containing the same ideal: 135
  116. Fri Aug 31 03:00:57 2018  removing 5359681 relations and 3359681 ideals in 2000000 cliques
  117. Fri Aug 31 03:00:59 2018  commencing in-memory singleton removal
  118. Fri Aug 31 03:01:04 2018  begin with 66506597 relations and 54731904 unique ideals
  119. Fri Aug 31 03:01:32 2018  reduce to 66280411 relations and 51140415 ideals in 6 passes
  120. Fri Aug 31 03:01:32 2018  max relations containing the same ideal: 129
  121. Fri Aug 31 03:01:55 2018  removing 5334413 relations and 3334413 ideals in 2000000 cliques
  122. Fri Aug 31 03:01:57 2018  commencing in-memory singleton removal
  123. Fri Aug 31 03:02:01 2018  begin with 60945998 relations and 51140415 unique ideals
  124. Fri Aug 31 03:02:27 2018  reduce to 60706726 relations and 47560439 ideals in 6 passes
  125. Fri Aug 31 03:02:27 2018  max relations containing the same ideal: 121
  126. Fri Aug 31 03:02:48 2018  removing 5319562 relations and 3319562 ideals in 2000000 cliques
  127. Fri Aug 31 03:02:50 2018  commencing in-memory singleton removal
  128. Fri Aug 31 03:02:53 2018  begin with 55387164 relations and 47560439 unique ideals
  129. Fri Aug 31 03:03:17 2018  reduce to 55131747 relations and 43978118 ideals in 6 passes
  130. Fri Aug 31 03:03:17 2018  max relations containing the same ideal: 112
  131. Fri Aug 31 03:03:36 2018  removing 5307440 relations and 3307440 ideals in 2000000 cliques
  132. Fri Aug 31 03:03:38 2018  commencing in-memory singleton removal
  133. Fri Aug 31 03:03:41 2018  begin with 49824307 relations and 43978118 unique ideals
  134. Fri Aug 31 03:04:04 2018  reduce to 49549069 relations and 40386961 ideals in 6 passes
  135. Fri Aug 31 03:04:04 2018  max relations containing the same ideal: 106
  136. Fri Aug 31 03:04:22 2018  removing 5301420 relations and 3301420 ideals in 2000000 cliques
  137. Fri Aug 31 03:04:24 2018  commencing in-memory singleton removal
  138. Fri Aug 31 03:04:26 2018  begin with 44247649 relations and 40386961 unique ideals
  139. Fri Aug 31 03:04:46 2018  reduce to 43944601 relations and 36772307 ideals in 6 passes
  140. Fri Aug 31 03:04:46 2018  max relations containing the same ideal: 98
  141. Fri Aug 31 03:05:02 2018  removing 5300432 relations and 3300432 ideals in 2000000 cliques
  142. Fri Aug 31 03:05:04 2018  commencing in-memory singleton removal
  143. Fri Aug 31 03:05:06 2018  begin with 38644169 relations and 36772307 unique ideals
  144. Fri Aug 31 03:05:23 2018  reduce to 38301786 relations and 33116443 ideals in 6 passes
  145. Fri Aug 31 03:05:23 2018  max relations containing the same ideal: 89
  146. Fri Aug 31 03:05:37 2018  removing 5318512 relations and 3318512 ideals in 2000000 cliques
  147. Fri Aug 31 03:05:39 2018  commencing in-memory singleton removal
  148. Fri Aug 31 03:05:40 2018  begin with 32983274 relations and 33116443 unique ideals
  149. Fri Aug 31 03:05:54 2018  reduce to 32577900 relations and 29374983 ideals in 7 passes
  150. Fri Aug 31 03:05:54 2018  max relations containing the same ideal: 79
  151. Fri Aug 31 03:06:04 2018  removing 5354957 relations and 3354957 ideals in 2000000 cliques
  152. Fri Aug 31 03:06:06 2018  commencing in-memory singleton removal
  153. Fri Aug 31 03:06:07 2018  begin with 27222943 relations and 29374983 unique ideals
  154. Fri Aug 31 03:06:20 2018  reduce to 26709367 relations and 25480516 ideals in 8 passes
  155. Fri Aug 31 03:06:20 2018  max relations containing the same ideal: 69
  156. Fri Aug 31 03:06:28 2018  removing 1043583 relations and 766047 ideals in 277536 cliques
  157. Fri Aug 31 03:06:29 2018  commencing in-memory singleton removal
  158. Fri Aug 31 03:06:30 2018  begin with 25665784 relations and 25480516 unique ideals
  159. Fri Aug 31 03:06:39 2018  reduce to 25629057 relations and 24677344 ideals in 6 passes
  160. Fri Aug 31 03:06:39 2018  max relations containing the same ideal: 68
  161. Fri Aug 31 03:06:51 2018  relations with 0 large ideals: 60583
  162. Fri Aug 31 03:06:51 2018  relations with 1 large ideals: 13908
  163. Fri Aug 31 03:06:51 2018  relations with 2 large ideals: 164639
  164. Fri Aug 31 03:06:51 2018  relations with 3 large ideals: 972657
  165. Fri Aug 31 03:06:51 2018  relations with 4 large ideals: 3124841
  166. Fri Aug 31 03:06:51 2018  relations with 5 large ideals: 6633497
  167. Fri Aug 31 03:06:51 2018  relations with 6 large ideals: 6599925
  168. Fri Aug 31 03:06:51 2018  relations with 7+ large ideals: 8059007
  169. Fri Aug 31 03:06:51 2018  commencing 2-way merge
  170. Fri Aug 31 03:07:01 2018  reduce to 18095155 relation sets and 17143442 unique ideals
  171. Fri Aug 31 03:07:01 2018  commencing full merge
  172. Fri Aug 31 03:12:28 2018  memory use: 2171.1 MB
  173. Fri Aug 31 03:12:30 2018  found 8051803 cycles, need 8007642
  174. Fri Aug 31 03:12:32 2018  weight of 8007642 cycles is about 993406821 (124.06/cycle)
  175. Fri Aug 31 03:12:32 2018  distribution of cycle lengths:
  176. Fri Aug 31 03:12:32 2018  1 relations: 200080
  177. Fri Aug 31 03:12:32 2018  2 relations: 320647
  178. Fri Aug 31 03:12:32 2018  3 relations: 441070
  179. Fri Aug 31 03:12:32 2018  4 relations: 512287
  180. Fri Aug 31 03:12:32 2018  5 relations: 561018
  181. Fri Aug 31 03:12:32 2018  6 relations: 585498
  182. Fri Aug 31 03:12:32 2018  7 relations: 591208
  183. Fri Aug 31 03:12:32 2018  8 relations: 579037
  184. Fri Aug 31 03:12:32 2018  9 relations: 554443
  185. Fri Aug 31 03:12:32 2018  10+ relations: 3662354
  186. Fri Aug 31 03:12:32 2018  heaviest cycle: 28 relations
  187. Fri Aug 31 03:12:33 2018  commencing cycle optimization
  188. Fri Aug 31 03:12:48 2018  start with 77794729 relations
  189. Fri Aug 31 03:15:27 2018  pruned 4692796 relations
  190. Fri Aug 31 03:15:27 2018  memory use: 1867.3 MB
  191. Fri Aug 31 03:15:27 2018  distribution of cycle lengths:
  192. Fri Aug 31 03:15:27 2018  1 relations: 200080
  193. Fri Aug 31 03:15:27 2018  2 relations: 329478
  194. Fri Aug 31 03:15:27 2018  3 relations: 462733
  195. Fri Aug 31 03:15:27 2018  4 relations: 540225
  196. Fri Aug 31 03:15:27 2018  5 relations: 600562
  197. Fri Aug 31 03:15:27 2018  6 relations: 626841
  198. Fri Aug 31 03:15:27 2018  7 relations: 637631
  199. Fri Aug 31 03:15:27 2018  8 relations: 622512
  200. Fri Aug 31 03:15:27 2018  9 relations: 595285
  201. Fri Aug 31 03:15:27 2018  10+ relations: 3392295
  202. Fri Aug 31 03:15:27 2018  heaviest cycle: 28 relations
  203. Fri Aug 31 03:15:40 2018  RelProcTime: 5774
  204. Fri Aug 31 03:15:40 2018  
  205. Fri Aug 31 03:15:40 2018  commencing linear algebra
  206. Fri Aug 31 03:15:41 2018  read 8007642 cycles
  207. Fri Aug 31 03:15:54 2018  cycles contain 25244431 unique relations
  208. Fri Aug 31 03:18:05 2018  read 25244431 relations
  209. Fri Aug 31 03:18:40 2018  using 20 quadratic characters above 4294917295
  210. Fri Aug 31 03:20:14 2018  building initial matrix
  211. Fri Aug 31 03:24:20 2018  memory use: 3214.0 MB
  212. Fri Aug 31 03:24:24 2018  read 8007642 cycles
  213. Fri Aug 31 03:24:25 2018  matrix is 8007465 x 8007642 (3841.1 MB) with weight 1092994141 (136.49/col)
  214. Fri Aug 31 03:24:25 2018  sparse part has weight 918841127 (114.75/col)
  215. Fri Aug 31 03:25:45 2018  filtering completed in 2 passes
  216. Fri Aug 31 03:25:46 2018  matrix is 8007376 x 8007553 (3841.1 MB) with weight 1092991165 (136.50/col)
  217. Fri Aug 31 03:25:46 2018  sparse part has weight 918840094 (114.75/col)
  218. Fri Aug 31 03:26:09 2018  matrix starts at (0, 0)
  219. Fri Aug 31 03:26:10 2018  matrix is 8007376 x 8007553 (3841.1 MB) with weight 1092991165 (136.50/col)
  220. Fri Aug 31 03:26:10 2018  sparse part has weight 918840094 (114.75/col)
  221. Fri Aug 31 03:26:10 2018  saving the first 48 matrix rows for later
  222. Fri Aug 31 03:26:11 2018  matrix includes 64 packed rows
  223. Fri Aug 31 03:26:12 2018  matrix is 8007328 x 8007553 (3688.6 MB) with weight 946677294 (118.22/col)
  224. Fri Aug 31 03:26:12 2018  sparse part has weight 886866785 (110.75/col)
  225. Fri Aug 31 03:26:12 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  226. Fri Aug 31 03:26:35 2018  commencing Lanczos iteration (4 threads)
  227. Fri Aug 31 03:26:35 2018  memory use: 3521.6 MB
  228. Fri Aug 31 03:27:11 2018  linear algebra at 0.0%, ETA 51h 6m
  229. Fri Aug 31 03:27:23 2018  checkpointing every 160000 dimensions
  230. Sat Sep  1 23:04:22 2018  lanczos halted after 126634 iterations (dim = 8007328)
  231. Sat Sep  1 23:04:34 2018  recovered 36 nontrivial dependencies
  232. Sat Sep  1 23:04:34 2018  BLanczosTime: 157734
  233. Sat Sep  1 23:04:34 2018  
  234. Sat Sep  1 23:04:34 2018  commencing square root phase
  235. Sat Sep  1 23:04:34 2018  handling dependencies 1 to 64
  236. Sat Sep  1 23:04:34 2018  reading relations for dependency 1
  237. Sat Sep  1 23:04:35 2018  read 4001988 cycles
  238. Sat Sep  1 23:04:41 2018  cycles contain 12620734 unique relations
  239. Sat Sep  1 23:05:59 2018  read 12620734 relations
  240. Sat Sep  1 23:06:40 2018  multiplying 12620734 relations
  241. Sat Sep  1 23:10:13 2018  multiply complete, coefficients have about 335.48 million bits
  242. Sat Sep  1 23:10:14 2018  initial square root is modulo 1046203
  243. Sat Sep  1 23:14:44 2018  sqrtTime: 610
  244. Sat Sep  1 23:14:44 2018  p80 factor: 82885753524430576798716004329371858035576140929984969068564210224542252433741601
  245. Sat Sep  1 23:14:44 2018  p130 factor: 4964069304274815547360227904991595184914800703291694901664412088251250189881781301537437808398887163246559306931396793735305514881
  246. Sat Sep  1 23:14:44 2018  elapsed time 45:35:20
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