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  1. Thu Mar 16 19:15:19 2017  
  2. Thu Mar 16 19:15:19 2017  
  3. Thu Mar 16 19:15:19 2017  Msieve v. 1.52 (SVN unknown)
  4. Thu Mar 16 19:15:19 2017  random seeds: 8dc5bcc4 4fe48768
  5. Thu Mar 16 19:15:19 2017  factoring 5388792835728955147464475071441990735548637250874361350066071879413146964544778832432006808552504514052955962054124335878565007804542802788136376070261154961282201213602489 (172 digits)
  6. Thu Mar 16 19:15:19 2017  no P-1/P+1/ECM available, skipping
  7. Thu Mar 16 19:15:19 2017  commencing number field sieve (172-digit input)
  8. Thu Mar 16 19:15:19 2017  R0: 35180715207538134081393278607450577
  9. Thu Mar 16 19:15:20 2017  R1: -1
  10. Thu Mar 16 19:15:20 2017  A0: -1
  11. Thu Mar 16 19:15:20 2017  A1: 0
  12. Thu Mar 16 19:15:20 2017  A2: 0
  13. Thu Mar 16 19:15:20 2017  A3: 0
  14. Thu Mar 16 19:15:20 2017  A4: 0
  15. Thu Mar 16 19:15:20 2017  A5: 0
  16. Thu Mar 16 19:15:20 2017  A6: 327668647153
  17. Thu Mar 16 19:15:20 2017  skew 0.01, size 8.556e-012, alpha -0.637, combined = 5.852e-013 rroots = 2
  18. Thu Mar 16 19:15:20 2017  
  19. Thu Mar 16 19:15:20 2017  commencing relation filtering
  20. Thu Mar 16 19:15:20 2017  setting target matrix density to 120.0
  21. Thu Mar 16 19:15:20 2017  estimated available RAM is 8065.3 MB
  22. Thu Mar 16 19:15:20 2017  commencing duplicate removal, pass 1
  23. Thu Mar 16 19:18:53 2017  error -15 reading relation 22855914
  24. Thu Mar 16 19:22:52 2017  error -9 reading relation 50354925
  25. Thu Mar 16 19:22:54 2017  error -9 reading relation 50514940
  26. Thu Mar 16 19:22:54 2017  error -9 reading relation 50551352
  27. Thu Mar 16 19:26:07 2017  error -1 reading relation 72814388
  28. Thu Mar 16 19:27:24 2017  error -1 reading relation 81652649
  29. Thu Mar 16 19:29:13 2017  error -15 reading relation 94073475
  30. Thu Mar 16 19:29:22 2017  error -15 reading relation 95239434
  31. Thu Mar 16 19:29:31 2017  error -15 reading relation 96243433
  32. Thu Mar 16 19:30:21 2017  error -15 reading relation 101909760
  33. Thu Mar 16 19:30:21 2017  error -1 reading relation 101945544
  34. Thu Mar 16 19:31:09 2017  error -15 reading relation 107694340
  35. Thu Mar 16 19:31:10 2017  error -9 reading relation 107736729
  36. Thu Mar 16 19:33:17 2017  error -15 reading relation 122318559
  37. Thu Mar 16 19:33:20 2017  error -1 reading relation 122665610
  38. Thu Mar 16 19:34:12 2017  error -9 reading relation 128664540
  39. Thu Mar 16 19:34:13 2017  error -15 reading relation 128759965
  40. Thu Mar 16 19:34:22 2017  error -15 reading relation 129732521
  41. Thu Mar 16 19:35:04 2017  error -9 reading relation 134708898
  42. Thu Mar 16 19:35:04 2017  error -15 reading relation 134712359
  43. Thu Mar 16 19:35:09 2017  error -5 reading relation 135203572
  44. Thu Mar 16 19:35:10 2017  error -9 reading relation 135388884
  45. Thu Mar 16 19:35:38 2017  error -5 reading relation 138242598
  46. Thu Mar 16 19:35:55 2017  error -15 reading relation 140239597
  47. Thu Mar 16 19:37:05 2017  error -9 reading relation 148414113
  48. Thu Mar 16 19:39:15 2017  error -9 reading relation 163469011
  49. Thu Mar 16 19:39:17 2017  error -9 reading relation 163660081
  50. Thu Mar 16 19:39:19 2017  error -11 reading relation 163907658
  51. Thu Mar 16 19:39:19 2017  error -15 reading relation 163908850
  52. Thu Mar 16 19:39:19 2017  error -15 reading relation 163910887
  53. Thu Mar 16 19:39:19 2017  error -15 reading relation 163911239
  54. Thu Mar 16 19:39:19 2017  error -15 reading relation 163914912
  55. Thu Mar 16 19:39:19 2017  error -15 reading relation 163922886
  56. Thu Mar 16 19:39:19 2017  error -15 reading relation 163923081
  57. Thu Mar 16 19:39:19 2017  error -11 reading relation 163923909
  58. Thu Mar 16 19:39:19 2017  error -5 reading relation 163924765
  59. Thu Mar 16 19:39:19 2017  error -15 reading relation 163926890
  60. Thu Mar 16 19:39:23 2017  error -15 reading relation 164414998
  61. Thu Mar 16 19:39:49 2017  error -9 reading relation 167279455
  62. Thu Mar 16 19:39:56 2017  error -9 reading relation 168049994
  63. Thu Mar 16 19:39:56 2017  error -15 reading relation 168122407
  64. Thu Mar 16 19:40:31 2017  error -15 reading relation 172316585
  65. Thu Mar 16 19:40:48 2017  error -5 reading relation 174246858
  66. Thu Mar 16 19:40:59 2017  error -15 reading relation 175492801
  67. Thu Mar 16 19:41:00 2017  error -15 reading relation 175703197
  68. Thu Mar 16 19:41:15 2017  error -15 reading relation 177313764
  69. Thu Mar 16 19:41:45 2017  error -15 reading relation 180825150
  70. Thu Mar 16 19:42:15 2017  error -1 reading relation 184307962
  71. Thu Mar 16 19:42:59 2017  error -5 reading relation 189364951
  72. Thu Mar 16 19:42:59 2017  error -5 reading relation 189376787
  73. Thu Mar 16 19:43:21 2017  error -9 reading relation 191816827
  74. Thu Mar 16 19:43:21 2017  error -9 reading relation 191826536
  75. Thu Mar 16 19:43:21 2017  error -9 reading relation 191829431
  76. Thu Mar 16 19:43:34 2017  error -1 reading relation 193275671
  77. Thu Mar 16 19:43:56 2017  error -9 reading relation 195808930
  78. Thu Mar 16 19:43:56 2017  error -15 reading relation 195843352
  79. Thu Mar 16 19:44:12 2017  error -1 reading relation 197669493
  80. Thu Mar 16 19:44:16 2017  error -9 reading relation 198135414
  81. Thu Mar 16 19:44:29 2017  error -15 reading relation 199684340
  82. Thu Mar 16 19:44:30 2017  error -5 reading relation 199799607
  83. Thu Mar 16 19:44:47 2017  error -15 reading relation 201719857
  84. Thu Mar 16 19:45:08 2017  error -9 reading relation 204273338
  85. Thu Mar 16 19:45:08 2017  error -9 reading relation 204302072
  86. Thu Mar 16 19:45:11 2017  error -9 reading relation 204560955
  87. Thu Mar 16 19:45:24 2017  error -1 reading relation 206115953
  88. Thu Mar 16 19:45:55 2017  error -15 reading relation 209698849
  89. Thu Mar 16 19:46:01 2017  error -9 reading relation 210464085
  90. Thu Mar 16 19:46:01 2017  error -1 reading relation 210468717
  91. Thu Mar 16 19:46:01 2017  error -9 reading relation 210471717
  92. Thu Mar 16 19:46:01 2017  error -9 reading relation 210471991
  93. Thu Mar 16 19:46:02 2017  error -15 reading relation 210483177
  94. Thu Mar 16 19:46:15 2017  error -1 reading relation 211981620
  95. Thu Mar 16 19:46:30 2017  error -9 reading relation 213786568
  96. Thu Mar 16 19:46:37 2017  error -15 reading relation 214608516
  97. Thu Mar 16 19:46:45 2017  skipped 28644 relations with b > 2^32
  98. Thu Mar 16 19:46:45 2017  found 36732683 hash collisions in 215427533 relations
  99. Thu Mar 16 19:47:11 2017  added 1220551 free relations
  100. Thu Mar 16 19:47:11 2017  commencing duplicate removal, pass 2
  101. Thu Mar 16 19:50:27 2017  found 34348727 duplicates and 182299357 unique relations
  102. Thu Mar 16 19:50:27 2017  memory use: 1321.5 MB
  103. Thu Mar 16 19:50:27 2017  reading ideals above 99942400
  104. Thu Mar 16 19:50:27 2017  commencing singleton removal, initial pass
  105. Thu Mar 16 20:20:07 2017  memory use: 3012.0 MB
  106. Thu Mar 16 20:20:07 2017  reading all ideals from disk
  107. Thu Mar 16 20:20:43 2017  memory use: 3258.8 MB
  108. Thu Mar 16 20:20:51 2017  commencing in-memory singleton removal
  109. Thu Mar 16 20:20:59 2017  begin with 182299357 relations and 158926255 unique ideals
  110. Thu Mar 16 20:22:18 2017  reduce to 109645968 relations and 77881143 ideals in 15 passes
  111. Thu Mar 16 20:22:18 2017  max relations containing the same ideal: 52
  112. Thu Mar 16 20:22:26 2017  reading ideals above 720000
  113. Thu Mar 16 20:22:27 2017  commencing singleton removal, initial pass
  114. Thu Mar 16 20:44:16 2017  memory use: 2756.0 MB
  115. Thu Mar 16 20:44:16 2017  reading large ideals from disk
  116. Thu Mar 16 20:45:52 2017  keeping 80682764 ideals with weight <= 20, target excess is 8719356
  117. Thu Mar 16 20:48:01 2017  memory use: 2665.9 MB
  118. Thu Mar 16 20:48:01 2017  commencing in-memory singleton removal
  119. Thu Mar 16 20:48:05 2017  begin with 109645969 relations and 80682764 unique ideals
  120. Thu Mar 16 20:48:30 2017  reduce to 109645774 relations and 80682568 ideals in 5 passes
  121. Thu Mar 16 20:48:30 2017  max relations containing the same ideal: 20
  122. Thu Mar 16 20:49:00 2017  removing 10632836 relations and 8632836 ideals in 2000000 cliques
  123. Thu Mar 16 20:49:03 2017  commencing in-memory singleton removal
  124. Thu Mar 16 20:49:07 2017  begin with 99012938 relations and 80682568 unique ideals
  125. Thu Mar 16 20:49:42 2017  reduce to 98132157 relations and 71148561 ideals in 8 passes
  126. Thu Mar 16 20:49:42 2017  max relations containing the same ideal: 20
  127. Thu Mar 16 20:50:09 2017  removing 8067728 relations and 6067728 ideals in 2000000 cliques
  128. Thu Mar 16 20:50:11 2017  commencing in-memory singleton removal
  129. Thu Mar 16 20:50:14 2017  begin with 90064429 relations and 71148561 unique ideals
  130. Thu Mar 16 20:50:46 2017  reduce to 89463111 relations and 64466953 ideals in 8 passes
  131. Thu Mar 16 20:50:46 2017  max relations containing the same ideal: 20
  132. Thu Mar 16 20:51:10 2017  removing 7361998 relations and 5361998 ideals in 2000000 cliques
  133. Thu Mar 16 20:51:12 2017  commencing in-memory singleton removal
  134. Thu Mar 16 20:51:15 2017  begin with 82101113 relations and 64466953 unique ideals
  135. Thu Mar 16 20:51:43 2017  reduce to 81559405 relations and 58551503 ideals in 8 passes
  136. Thu Mar 16 20:51:43 2017  max relations containing the same ideal: 20
  137. Thu Mar 16 20:52:05 2017  removing 6998164 relations and 4998164 ideals in 2000000 cliques
  138. Thu Mar 16 20:52:07 2017  commencing in-memory singleton removal
  139. Thu Mar 16 20:52:10 2017  begin with 74561241 relations and 58551503 unique ideals
  140. Thu Mar 16 20:52:32 2017  reduce to 74034109 relations and 53013959 ideals in 7 passes
  141. Thu Mar 16 20:52:32 2017  max relations containing the same ideal: 20
  142. Thu Mar 16 20:52:52 2017  removing 6785023 relations and 4785023 ideals in 2000000 cliques
  143. Thu Mar 16 20:52:54 2017  commencing in-memory singleton removal
  144. Thu Mar 16 20:52:56 2017  begin with 67249086 relations and 53013959 unique ideals
  145. Thu Mar 16 20:53:18 2017  reduce to 66704669 relations and 47670984 ideals in 8 passes
  146. Thu Mar 16 20:53:18 2017  max relations containing the same ideal: 20
  147. Thu Mar 16 20:53:36 2017  removing 6685391 relations and 4685391 ideals in 2000000 cliques
  148. Thu Mar 16 20:53:38 2017  commencing in-memory singleton removal
  149. Thu Mar 16 20:53:40 2017  begin with 60019278 relations and 47670984 unique ideals
  150. Thu Mar 16 20:54:02 2017  reduce to 59453844 relations and 42404540 ideals in 9 passes
  151. Thu Mar 16 20:54:02 2017  max relations containing the same ideal: 20
  152. Thu Mar 16 20:54:18 2017  removing 6613211 relations and 4613211 ideals in 2000000 cliques
  153. Thu Mar 16 20:54:19 2017  commencing in-memory singleton removal
  154. Thu Mar 16 20:54:21 2017  begin with 52840633 relations and 42404540 unique ideals
  155. Thu Mar 16 20:54:37 2017  reduce to 52213540 relations and 37145156 ideals in 8 passes
  156. Thu Mar 16 20:54:37 2017  max relations containing the same ideal: 19
  157. Thu Mar 16 20:54:52 2017  removing 6600743 relations and 4600743 ideals in 2000000 cliques
  158. Thu Mar 16 20:54:53 2017  commencing in-memory singleton removal
  159. Thu Mar 16 20:54:55 2017  begin with 45612797 relations and 37145156 unique ideals
  160. Thu Mar 16 20:55:08 2017  reduce to 44912268 relations and 31819686 ideals in 8 passes
  161. Thu Mar 16 20:55:08 2017  max relations containing the same ideal: 18
  162. Thu Mar 16 20:55:20 2017  removing 6598807 relations and 4598807 ideals in 2000000 cliques
  163. Thu Mar 16 20:55:22 2017  commencing in-memory singleton removal
  164. Thu Mar 16 20:55:24 2017  begin with 38313461 relations and 31819686 unique ideals
  165. Thu Mar 16 20:55:36 2017  reduce to 37450229 relations and 26321545 ideals in 9 passes
  166. Thu Mar 16 20:55:36 2017  max relations containing the same ideal: 17
  167. Thu Mar 16 20:55:46 2017  removing 3665169 relations and 2650938 ideals in 1014231 cliques
  168. Thu Mar 16 20:55:47 2017  commencing in-memory singleton removal
  169. Thu Mar 16 20:55:48 2017  begin with 33785060 relations and 26321545 unique ideals
  170. Thu Mar 16 20:55:58 2017  reduce to 33413047 relations and 23288569 ideals in 9 passes
  171. Thu Mar 16 20:55:58 2017  max relations containing the same ideal: 16
  172. Thu Mar 16 20:56:07 2017  removing 44468 relations and 34443 ideals in 10025 cliques
  173. Thu Mar 16 20:56:07 2017  commencing in-memory singleton removal
  174. Thu Mar 16 20:56:08 2017  begin with 33368579 relations and 23288569 unique ideals
  175. Thu Mar 16 20:56:14 2017  reduce to 33368431 relations and 23253978 ideals in 5 passes
  176. Thu Mar 16 20:56:14 2017  max relations containing the same ideal: 16
  177. Thu Mar 16 20:56:15 2017  relations with 0 large ideals: 2117747
  178. Thu Mar 16 20:56:15 2017  relations with 1 large ideals: 8497008
  179. Thu Mar 16 20:56:15 2017  relations with 2 large ideals: 12773449
  180. Thu Mar 16 20:56:15 2017  relations with 3 large ideals: 7790587
  181. Thu Mar 16 20:56:15 2017  relations with 4 large ideals: 1947084
  182. Thu Mar 16 20:56:15 2017  relations with 5 large ideals: 202670
  183. Thu Mar 16 20:56:15 2017  relations with 6 large ideals: 9738
  184. Thu Mar 16 20:56:15 2017  relations with 7+ large ideals: 30148
  185. Thu Mar 16 20:56:15 2017  commencing 2-way merge
  186. Thu Mar 16 20:56:27 2017  reduce to 19810815 relation sets and 9696362 unique ideals
  187. Thu Mar 16 20:56:27 2017  commencing full merge
  188. Thu Mar 16 20:57:46 2017  memory use: 904.1 MB
  189. Thu Mar 16 20:57:50 2017  found 10078744 cycles, need 8915056
  190. Thu Mar 16 20:57:51 2017  weight of 8915056 cycles is about 756173724 (84.82/cycle)
  191. Thu Mar 16 20:57:51 2017  distribution of cycle lengths:
  192. Thu Mar 16 20:57:51 2017  1 relations: 2118021
  193. Thu Mar 16 20:57:51 2017  2 relations: 883480
  194. Thu Mar 16 20:57:51 2017  3 relations: 635511
  195. Thu Mar 16 20:57:51 2017  4 relations: 545942
  196. Thu Mar 16 20:57:51 2017  5 relations: 508850
  197. Thu Mar 16 20:57:51 2017  6 relations: 480997
  198. Thu Mar 16 20:57:51 2017  7 relations: 464224
  199. Thu Mar 16 20:57:51 2017  8 relations: 444998
  200. Thu Mar 16 20:57:51 2017  9 relations: 424153
  201. Thu Mar 16 20:57:51 2017  10+ relations: 2408880
  202. Thu Mar 16 20:57:51 2017  heaviest cycle: 21 relations
  203. Thu Mar 16 20:57:51 2017  commencing cycle optimization
  204. Thu Mar 16 20:58:02 2017  start with 55548560 relations
  205. Thu Mar 16 20:59:31 2017  pruned 3688335 relations
  206. Thu Mar 16 20:59:31 2017  memory use: 1640.1 MB
  207. Thu Mar 16 20:59:31 2017  distribution of cycle lengths:
  208. Thu Mar 16 20:59:31 2017  1 relations: 2118021
  209. Thu Mar 16 20:59:31 2017  2 relations: 912217
  210. Thu Mar 16 20:59:31 2017  3 relations: 671762
  211. Thu Mar 16 20:59:31 2017  4 relations: 583743
  212. Thu Mar 16 20:59:31 2017  5 relations: 553707
  213. Thu Mar 16 20:59:31 2017  6 relations: 529989
  214. Thu Mar 16 20:59:31 2017  7 relations: 516053
  215. Thu Mar 16 20:59:31 2017  8 relations: 494770
  216. Thu Mar 16 20:59:31 2017  9 relations: 468060
  217. Thu Mar 16 20:59:31 2017  10+ relations: 2066734
  218. Thu Mar 16 20:59:31 2017  heaviest cycle: 21 relations
  219. Thu Mar 16 20:59:41 2017  RelProcTime: 6261
  220. Thu Mar 16 20:59:41 2017  
  221. Thu Mar 16 20:59:41 2017  commencing linear algebra
  222. Thu Mar 16 20:59:43 2017  read 8915056 cycles
  223. Thu Mar 16 20:59:56 2017  cycles contain 27378959 unique relations
  224. Thu Mar 16 21:04:43 2017  read 27378959 relations
  225. Thu Mar 16 21:05:19 2017  using 20 quadratic characters above 2147480592
  226. Thu Mar 16 21:07:10 2017  building initial matrix
  227. Thu Mar 16 21:11:14 2017  memory use: 3484.0 MB
  228. Thu Mar 16 21:11:52 2017  read 8915056 cycles
  229. Thu Mar 16 21:11:55 2017  matrix is 8914381 x 8915056 (2957.7 MB) with weight 875889733 (98.25/col)
  230. Thu Mar 16 21:11:55 2017  sparse part has weight 677276898 (75.97/col)
  231. Thu Mar 16 21:13:56 2017  filtering completed in 3 passes
  232. Thu Mar 16 21:13:58 2017  matrix is 8900295 x 8900495 (2955.0 MB) with weight 875038132 (98.31/col)
  233. Thu Mar 16 21:13:58 2017  sparse part has weight 676734369 (76.03/col)
  234. Thu Mar 16 21:14:42 2017  matrix starts at (0, 0)
  235. Thu Mar 16 21:14:45 2017  matrix is 8900295 x 8900495 (2955.0 MB) with weight 875038132 (98.31/col)
  236. Thu Mar 16 21:14:45 2017  sparse part has weight 676734369 (76.03/col)
  237. Thu Mar 16 21:14:45 2017  saving the first 48 matrix rows for later
  238. Thu Mar 16 21:14:47 2017  matrix includes 64 packed rows
  239. Thu Mar 16 21:14:48 2017  matrix is 8900247 x 8900495 (2840.5 MB) with weight 709500472 (79.71/col)
  240. Thu Mar 16 21:14:48 2017  sparse part has weight 655613344 (73.66/col)
  241. Thu Mar 16 21:14:49 2017  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  242. Thu Mar 16 21:15:23 2017  commencing Lanczos iteration (6 threads)
  243. Thu Mar 16 21:15:23 2017  memory use: 2365.8 MB
  244. Thu Mar 16 21:16:12 2017  linear algebra at 0.0%, ETA 76h44m
  245. Thu Mar 16 21:16:28 2017  checkpointing every 120000 dimensions
  246. Mon Mar 20 00:55:13 2017  lanczos halted after 140753 iterations (dim = 8900243)
  247. Mon Mar 20 00:55:27 2017  recovered 33 nontrivial dependencies
  248. Mon Mar 20 00:55:30 2017  BLanczosTime: 273349
  249. Mon Mar 20 00:55:30 2017  
  250. Mon Mar 20 00:55:30 2017  commencing square root phase
  251. Mon Mar 20 00:55:30 2017  handling dependencies 1 to 64
  252. Mon Mar 20 00:55:30 2017  reading relations for dependency 1
  253. Mon Mar 20 00:55:32 2017  read 4451701 cycles
  254. Mon Mar 20 00:55:38 2017  cycles contain 13679630 unique relations
  255. Mon Mar 20 00:59:41 2017  read 13679630 relations
  256. Mon Mar 20 01:00:48 2017  multiplying 13679630 relations
  257. Mon Mar 20 01:27:42 2017  multiply complete, coefficients have about 817.61 million bits
  258. Mon Mar 20 01:27:49 2017  initial square root is modulo 21638989
  259. Mon Mar 20 02:02:17 2017  GCD is 1, no factor found
  260. Mon Mar 20 02:02:17 2017  reading relations for dependency 2
  261. Mon Mar 20 02:02:23 2017  read 4451335 cycles
  262. Mon Mar 20 02:02:29 2017  cycles contain 13681546 unique relations
  263. Mon Mar 20 02:06:15 2017  read 13681546 relations
  264. Mon Mar 20 02:07:20 2017  multiplying 13681546 relations
  265. Mon Mar 20 02:33:44 2017  multiply complete, coefficients have about 817.72 million bits
  266. Mon Mar 20 02:33:51 2017  initial square root is modulo 21685309
  267. Mon Mar 20 03:08:22 2017  GCD is 1, no factor found
  268. Mon Mar 20 03:08:22 2017  reading relations for dependency 3
  269. Mon Mar 20 03:08:28 2017  read 4451841 cycles
  270. Mon Mar 20 03:08:34 2017  cycles contain 13681290 unique relations
  271. Mon Mar 20 03:12:33 2017  read 13681290 relations
  272. Mon Mar 20 03:13:38 2017  multiplying 13681290 relations
  273. Mon Mar 20 03:40:01 2017  multiply complete, coefficients have about 817.70 million bits
  274. Mon Mar 20 03:40:09 2017  initial square root is modulo 21678541
  275. Mon Mar 20 04:14:44 2017  sqrtTime: 11954
  276. Mon Mar 20 04:14:44 2017  prp73 factor: 6054725637139677465720575881783390450522419160557268492512016879544214461
  277. Mon Mar 20 04:14:44 2017  prp99 factor: 890014372026059848287884564136243757498233449579710863544205700586905490716551126205371524104139949
  278. Mon Mar 20 04:14:44 2017  elapsed time 80:59:25
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