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  1. Thu Feb  1 18:13:47 2018  
  2. Thu Feb  1 18:13:47 2018  
  3. Thu Feb  1 18:13:47 2018  Msieve v. 1.53 (SVN unknown)
  4. Thu Feb  1 18:13:47 2018  random seeds: 2a7f8838 84f8ab87
  5. Thu Feb  1 18:13:47 2018  factoring 4190382376399611198715525567611859869810180462203298252561466177375076173748688503712803648130236381306513716772457208342512614074171595527545756233864158730710303975110723942621566588008232863889123484057819402260837788019276486537 (232 digits)
  6. Thu Feb  1 18:13:49 2018  searching for 15-digit factors
  7. Thu Feb  1 18:13:50 2018  commencing number field sieve (232-digit input)
  8. Thu Feb  1 18:13:50 2018  R0: -969773729787523602876821942164080815560161
  9. Thu Feb  1 18:13:50 2018  R1: 1
  10. Thu Feb  1 18:13:50 2018  A0: 1
  11. Thu Feb  1 18:13:50 2018  A1: 0
  12. Thu Feb  1 18:13:50 2018  A2: 0
  13. Thu Feb  1 18:13:50 2018  A3: 0
  14. Thu Feb  1 18:13:50 2018  A4: 0
  15. Thu Feb  1 18:13:50 2018  A5: 0
  16. Thu Feb  1 18:13:50 2018  A6: 2385
  17. Thu Feb  1 18:13:50 2018  skew 1.00, size 8.549e-13, alpha 0.868, combined = 1.019e-13 rroots = 0
  18. Thu Feb  1 18:13:50 2018  
  19. Thu Feb  1 18:13:50 2018  commencing relation filtering
  20. Thu Feb  1 18:13:50 2018  setting target matrix density to 140.0
  21. Thu Feb  1 18:13:50 2018  estimated available RAM is 16335.3 MB
  22. Thu Feb  1 18:13:50 2018  commencing duplicate removal, pass 1
  23.   5124 errors
  24. Thu Feb  1 19:55:26 2018  skipped 1443 relations with composite factors
  25. Thu Feb  1 19:55:26 2018  found 90706435 hash collisions in 439769033 relations
  26. Thu Feb  1 19:55:54 2018  added 1217716 free relations
  27. Thu Feb  1 19:55:54 2018  commencing duplicate removal, pass 2
  28. Thu Feb  1 20:06:36 2018  found 79150077 duplicates and 361836672 unique relations
  29. Thu Feb  1 20:06:36 2018  memory use: 2387.0 MB
  30. Thu Feb  1 20:06:36 2018  reading ideals above 153026560
  31. Thu Feb  1 20:06:36 2018  commencing singleton removal, initial pass
  32. Thu Feb  1 21:12:54 2018  memory use: 6024.0 MB
  33. Thu Feb  1 21:12:55 2018  reading all ideals from disk
  34. Thu Feb  1 21:14:27 2018  memory use: 6533.4 MB
  35. Thu Feb  1 21:14:42 2018  commencing in-memory singleton removal
  36. Thu Feb  1 21:14:57 2018  begin with 361836672 relations and 311710329 unique ideals
  37. Thu Feb  1 21:17:36 2018  reduce to 223059097 relations and 157413473 ideals in 15 passes
  38. Thu Feb  1 21:17:36 2018  max relations containing the same ideal: 31
  39. Thu Feb  1 21:17:56 2018  reading ideals above 720000
  40. Thu Feb  1 21:17:56 2018  commencing singleton removal, initial pass
  41. Thu Feb  1 22:08:30 2018  memory use: 5512.0 MB
  42. Thu Feb  1 22:08:31 2018  reading large ideals from disk
  43. Thu Feb  1 22:13:00 2018  keeping 159284238 ideals with weight <= 20, target excess is 15334396
  44. Thu Feb  1 22:17:41 2018  memory use: 5223.3 MB
  45. Thu Feb  1 22:17:41 2018  commencing in-memory singleton removal
  46. Thu Feb  1 22:17:50 2018  begin with 223059097 relations and 159284238 unique ideals
  47. Thu Feb  1 22:18:38 2018  reduce to 223058905 relations and 159284046 ideals in 5 passes
  48. Thu Feb  1 22:18:38 2018  max relations containing the same ideal: 20
  49. Thu Feb  1 22:19:36 2018  removing 12369398 relations and 10369398 ideals in 2000000 cliques
  50. Thu Feb  1 22:19:41 2018  commencing in-memory singleton removal
  51. Thu Feb  1 22:19:49 2018  begin with 210689507 relations and 159284046 unique ideals
  52. Thu Feb  1 22:21:03 2018  reduce to 210135792 relations and 148354199 ideals in 8 passes
  53. Thu Feb  1 22:21:03 2018  max relations containing the same ideal: 20
  54. Thu Feb  1 22:21:57 2018  removing 9194277 relations and 7194277 ideals in 2000000 cliques
  55. Thu Feb  1 22:22:01 2018  commencing in-memory singleton removal
  56. Thu Feb  1 22:22:09 2018  begin with 200941515 relations and 148354199 unique ideals
  57. Thu Feb  1 22:23:10 2018  reduce to 200582360 relations and 140797018 ideals in 7 passes
  58. Thu Feb  1 22:23:10 2018  max relations containing the same ideal: 20
  59. Thu Feb  1 22:24:02 2018  removing 8202159 relations and 6202159 ideals in 2000000 cliques
  60. Thu Feb  1 22:24:06 2018  commencing in-memory singleton removal
  61. Thu Feb  1 22:24:13 2018  begin with 192380201 relations and 140797018 unique ideals
  62. Thu Feb  1 22:25:11 2018  reduce to 192069387 relations and 134280859 ideals in 7 passes
  63. Thu Feb  1 22:25:11 2018  max relations containing the same ideal: 20
  64. Thu Feb  1 22:26:00 2018  removing 7700643 relations and 5700643 ideals in 2000000 cliques
  65. Thu Feb  1 22:26:04 2018  commencing in-memory singleton removal
  66. Thu Feb  1 22:26:11 2018  begin with 184368744 relations and 134280859 unique ideals
  67. Thu Feb  1 22:27:13 2018  reduce to 184087187 relations and 128295669 ideals in 8 passes
  68. Thu Feb  1 22:27:13 2018  max relations containing the same ideal: 20
  69. Thu Feb  1 22:28:01 2018  removing 7348244 relations and 5348244 ideals in 2000000 cliques
  70. Thu Feb  1 22:28:04 2018  commencing in-memory singleton removal
  71. Thu Feb  1 22:28:10 2018  begin with 176738943 relations and 128295669 unique ideals
  72. Thu Feb  1 22:29:10 2018  reduce to 176466274 relations and 122671852 ideals in 8 passes
  73. Thu Feb  1 22:29:10 2018  max relations containing the same ideal: 20
  74. Thu Feb  1 22:29:55 2018  removing 7065346 relations and 5065346 ideals in 2000000 cliques
  75. Thu Feb  1 22:29:58 2018  commencing in-memory singleton removal
  76. Thu Feb  1 22:30:04 2018  begin with 169400928 relations and 122671852 unique ideals
  77. Thu Feb  1 22:30:54 2018  reduce to 169131681 relations and 117334170 ideals in 7 passes
  78. Thu Feb  1 22:30:54 2018  max relations containing the same ideal: 20
  79. Thu Feb  1 22:31:37 2018  removing 6982562 relations and 4982562 ideals in 2000000 cliques
  80. Thu Feb  1 22:31:40 2018  commencing in-memory singleton removal
  81. Thu Feb  1 22:31:46 2018  begin with 162149119 relations and 117334170 unique ideals
  82. Thu Feb  1 22:32:33 2018  reduce to 161900500 relations and 112100136 ideals in 7 passes
  83. Thu Feb  1 22:32:33 2018  max relations containing the same ideal: 20
  84. Thu Feb  1 22:33:15 2018  removing 6782105 relations and 4782105 ideals in 2000000 cliques
  85. Thu Feb  1 22:33:18 2018  commencing in-memory singleton removal
  86. Thu Feb  1 22:33:23 2018  begin with 155118395 relations and 112100136 unique ideals
  87. Thu Feb  1 22:34:08 2018  reduce to 154866479 relations and 107062967 ideals in 7 passes
  88. Thu Feb  1 22:34:08 2018  max relations containing the same ideal: 20
  89. Thu Feb  1 22:34:47 2018  removing 6691212 relations and 4691212 ideals in 2000000 cliques
  90. Thu Feb  1 22:34:50 2018  commencing in-memory singleton removal
  91. Thu Feb  1 22:34:55 2018  begin with 148175267 relations and 107062967 unique ideals
  92. Thu Feb  1 22:35:38 2018  reduce to 147916817 relations and 102110015 ideals in 7 passes
  93. Thu Feb  1 22:35:38 2018  max relations containing the same ideal: 20
  94. Thu Feb  1 22:36:15 2018  removing 6554226 relations and 4554226 ideals in 2000000 cliques
  95. Thu Feb  1 22:36:18 2018  commencing in-memory singleton removal
  96. Thu Feb  1 22:36:23 2018  begin with 141362591 relations and 102110015 unique ideals
  97. Thu Feb  1 22:37:03 2018  reduce to 141094117 relations and 97283650 ideals in 7 passes
  98. Thu Feb  1 22:37:03 2018  max relations containing the same ideal: 20
  99. Thu Feb  1 22:37:39 2018  removing 6574927 relations and 4574927 ideals in 2000000 cliques
  100. Thu Feb  1 22:37:42 2018  commencing in-memory singleton removal
  101. Thu Feb  1 22:37:46 2018  begin with 134519190 relations and 97283650 unique ideals
  102. Thu Feb  1 22:38:24 2018  reduce to 134258761 relations and 92444582 ideals in 7 passes
  103. Thu Feb  1 22:38:24 2018  max relations containing the same ideal: 20
  104. Thu Feb  1 22:38:58 2018  removing 6472903 relations and 4472903 ideals in 2000000 cliques
  105. Thu Feb  1 22:39:00 2018  commencing in-memory singleton removal
  106. Thu Feb  1 22:39:05 2018  begin with 127785858 relations and 92444582 unique ideals
  107. Thu Feb  1 22:39:40 2018  reduce to 127519096 relations and 87700939 ideals in 7 passes
  108. Thu Feb  1 22:39:40 2018  max relations containing the same ideal: 20
  109. Thu Feb  1 22:40:12 2018  removing 6471998 relations and 4471998 ideals in 2000000 cliques
  110. Thu Feb  1 22:40:15 2018  commencing in-memory singleton removal
  111. Thu Feb  1 22:40:19 2018  begin with 121047098 relations and 87700939 unique ideals
  112. Thu Feb  1 22:40:52 2018  reduce to 120776282 relations and 82953951 ideals in 7 passes
  113. Thu Feb  1 22:40:52 2018  max relations containing the same ideal: 20
  114. Thu Feb  1 22:41:22 2018  removing 6386839 relations and 4386839 ideals in 2000000 cliques
  115. Thu Feb  1 22:41:25 2018  commencing in-memory singleton removal
  116. Thu Feb  1 22:41:29 2018  begin with 114389443 relations and 82953951 unique ideals
  117. Thu Feb  1 22:42:03 2018  reduce to 114111457 relations and 78284498 ideals in 8 passes
  118. Thu Feb  1 22:42:04 2018  max relations containing the same ideal: 20
  119. Thu Feb  1 22:42:32 2018  removing 6287940 relations and 4287940 ideals in 2000000 cliques
  120. Thu Feb  1 22:42:35 2018  commencing in-memory singleton removal
  121. Thu Feb  1 22:42:38 2018  begin with 107823517 relations and 78284498 unique ideals
  122. Thu Feb  1 22:43:07 2018  reduce to 107483757 relations and 73650655 ideals in 7 passes
  123. Thu Feb  1 22:43:07 2018  max relations containing the same ideal: 20
  124. Thu Feb  1 22:43:34 2018  removing 6358186 relations and 4358186 ideals in 2000000 cliques
  125. Thu Feb  1 22:43:36 2018  commencing in-memory singleton removal
  126. Thu Feb  1 22:43:39 2018  begin with 101125571 relations and 73650655 unique ideals
  127. Thu Feb  1 22:44:06 2018  reduce to 100798883 relations and 68959526 ideals in 7 passes
  128. Thu Feb  1 22:44:06 2018  max relations containing the same ideal: 20
  129. Thu Feb  1 22:44:31 2018  removing 6389899 relations and 4389899 ideals in 2000000 cliques
  130. Thu Feb  1 22:44:33 2018  commencing in-memory singleton removal
  131. Thu Feb  1 22:44:36 2018  begin with 94408984 relations and 68959526 unique ideals
  132. Thu Feb  1 22:45:00 2018  reduce to 94072467 relations and 64226268 ideals in 7 passes
  133. Thu Feb  1 22:45:00 2018  max relations containing the same ideal: 19
  134. Thu Feb  1 22:45:24 2018  removing 6385927 relations and 4385927 ideals in 2000000 cliques
  135. Thu Feb  1 22:45:26 2018  commencing in-memory singleton removal
  136. Thu Feb  1 22:45:29 2018  begin with 87686540 relations and 64226268 unique ideals
  137. Thu Feb  1 22:45:51 2018  reduce to 87346400 relations and 59492979 ideals in 7 passes
  138. Thu Feb  1 22:45:51 2018  max relations containing the same ideal: 19
  139. Thu Feb  1 22:46:12 2018  removing 6241794 relations and 4241794 ideals in 2000000 cliques
  140. Thu Feb  1 22:46:14 2018  commencing in-memory singleton removal
  141. Thu Feb  1 22:46:17 2018  begin with 81104606 relations and 59492979 unique ideals
  142. Thu Feb  1 22:46:40 2018  reduce to 80657910 relations and 54793966 ideals in 8 passes
  143. Thu Feb  1 22:46:40 2018  max relations containing the same ideal: 18
  144. Thu Feb  1 22:47:00 2018  removing 6415382 relations and 4415382 ideals in 2000000 cliques
  145. Thu Feb  1 22:47:02 2018  commencing in-memory singleton removal
  146. Thu Feb  1 22:47:04 2018  begin with 74242528 relations and 54793966 unique ideals
  147. Thu Feb  1 22:47:24 2018  reduce to 73807301 relations and 49932942 ideals in 8 passes
  148. Thu Feb  1 22:47:24 2018  max relations containing the same ideal: 18
  149. Thu Feb  1 22:47:42 2018  removing 6353584 relations and 4353584 ideals in 2000000 cliques
  150. Thu Feb  1 22:47:44 2018  commencing in-memory singleton removal
  151. Thu Feb  1 22:47:46 2018  begin with 67453717 relations and 49932942 unique ideals
  152. Thu Feb  1 22:48:06 2018  reduce to 66926336 relations and 45037746 ideals in 9 passes
  153. Thu Feb  1 22:48:06 2018  max relations containing the same ideal: 17
  154. Thu Feb  1 22:48:23 2018  removing 6422507 relations and 4422507 ideals in 2000000 cliques
  155. Thu Feb  1 22:48:25 2018  commencing in-memory singleton removal
  156. Thu Feb  1 22:48:27 2018  begin with 60503829 relations and 45037746 unique ideals
  157. Thu Feb  1 22:48:44 2018  reduce to 59933059 relations and 40026993 ideals in 9 passes
  158. Thu Feb  1 22:48:44 2018  max relations containing the same ideal: 16
  159. Thu Feb  1 22:48:59 2018  removing 6501981 relations and 4501981 ideals in 2000000 cliques
  160. Thu Feb  1 22:49:01 2018  commencing in-memory singleton removal
  161. Thu Feb  1 22:49:02 2018  begin with 53431078 relations and 40026993 unique ideals
  162. Thu Feb  1 22:49:18 2018  reduce to 52779770 relations and 34852150 ideals in 10 passes
  163. Thu Feb  1 22:49:18 2018  max relations containing the same ideal: 16
  164. Thu Feb  1 22:49:31 2018  removing 464203 relations and 324483 ideals in 139720 cliques
  165. Thu Feb  1 22:49:32 2018  commencing in-memory singleton removal
  166. Thu Feb  1 22:49:33 2018  begin with 52315567 relations and 34852150 unique ideals
  167. Thu Feb  1 22:49:46 2018  reduce to 52304473 relations and 34516528 ideals in 8 passes
  168. Thu Feb  1 22:49:46 2018  max relations containing the same ideal: 16
  169. Thu Feb  1 22:49:48 2018  relations with 0 large ideals: 4252755
  170. Thu Feb  1 22:49:48 2018  relations with 1 large ideals: 16412974
  171. Thu Feb  1 22:49:48 2018  relations with 2 large ideals: 21463332
  172. Thu Feb  1 22:49:48 2018  relations with 3 large ideals: 8986413
  173. Thu Feb  1 22:49:48 2018  relations with 4 large ideals: 1116970
  174. Thu Feb  1 22:49:48 2018  relations with 5 large ideals: 30114
  175. Thu Feb  1 22:49:48 2018  relations with 6 large ideals: 2915
  176. Thu Feb  1 22:49:48 2018  relations with 7+ large ideals: 39000
  177. Thu Feb  1 22:49:48 2018  commencing 2-way merge
  178. Thu Feb  1 22:50:05 2018  reduce to 29649235 relation sets and 11861290 unique ideals
  179. Thu Feb  1 22:50:05 2018  commencing full merge
  180. Thu Feb  1 22:51:07 2018  memory use: 1227.9 MB
  181. Thu Feb  1 22:51:10 2018  found 17724799 cycles, need 15334596
  182. Thu Feb  1 22:51:12 2018  weight of 15334596 cycles is about 1015679927 (66.23/cycle)
  183. Thu Feb  1 22:51:12 2018  distribution of cycle lengths:
  184. Thu Feb  1 22:51:12 2018  1 relations: 4252755
  185. Thu Feb  1 22:51:12 2018  2 relations: 1845427
  186. Thu Feb  1 22:51:12 2018  3 relations: 1427792
  187. Thu Feb  1 22:51:12 2018  4 relations: 1247994
  188. Thu Feb  1 22:51:12 2018  5 relations: 1153688
  189. Thu Feb  1 22:51:12 2018  6 relations: 1056181
  190. Thu Feb  1 22:51:12 2018  7 relations: 969116
  191. Thu Feb  1 22:51:12 2018  8 relations: 867930
  192. Thu Feb  1 22:51:12 2018  9 relations: 762539
  193. Thu Feb  1 22:51:12 2018  10+ relations: 1751174
  194. Thu Feb  1 22:51:12 2018  heaviest cycle: 15 relations
  195. Thu Feb  1 22:51:12 2018  commencing cycle optimization
  196. Thu Feb  1 22:51:26 2018  start with 69240912 relations
  197. Thu Feb  1 22:52:38 2018  pruned 3784330 relations
  198. Thu Feb  1 22:52:38 2018  memory use: 2341.2 MB
  199. Thu Feb  1 22:52:38 2018  distribution of cycle lengths:
  200. Thu Feb  1 22:52:38 2018  1 relations: 4252755
  201. Thu Feb  1 22:52:38 2018  2 relations: 1906232
  202. Thu Feb  1 22:52:38 2018  3 relations: 1511651
  203. Thu Feb  1 22:52:38 2018  4 relations: 1343377
  204. Thu Feb  1 22:52:38 2018  5 relations: 1264600
  205. Thu Feb  1 22:52:38 2018  6 relations: 1162807
  206. Thu Feb  1 22:52:38 2018  7 relations: 1057562
  207. Thu Feb  1 22:52:38 2018  8 relations: 904158
  208. Thu Feb  1 22:52:38 2018  9 relations: 737786
  209. Thu Feb  1 22:52:38 2018  10+ relations: 1193668
  210. Thu Feb  1 22:52:38 2018  heaviest cycle: 15 relations
  211. Thu Feb  1 22:52:56 2018  RelProcTime: 16746
  212. Thu Feb  1 22:52:56 2018  
  213. Thu Feb  1 22:52:56 2018  commencing linear algebra
  214. Thu Feb  1 22:52:58 2018  read 15334596 cycles
  215. Thu Feb  1 22:53:18 2018  cycles contain 41884090 unique relations
  216. Thu Feb  1 23:03:56 2018  read 41884090 relations
  217. Thu Feb  1 23:05:01 2018  using 20 quadratic characters above 4294917295
  218. Thu Feb  1 23:07:51 2018  building initial matrix
  219. Thu Feb  1 23:13:35 2018  memory use: 5550.1 MB
  220. Thu Feb  1 23:14:15 2018  read 15334596 cycles
  221. Thu Feb  1 23:14:19 2018  matrix is 15330111 x 15334596 (4203.7 MB) with weight 1227962769 (80.08/col)
  222. Thu Feb  1 23:14:19 2018  sparse part has weight 933301254 (60.86/col)
  223. Thu Feb  1 23:17:49 2018  filtering completed in 3 passes
  224. Thu Feb  1 23:17:53 2018  matrix is 15232545 x 15232745 (4187.7 MB) with weight 1223101586 (80.29/col)
  225. Thu Feb  1 23:17:53 2018  sparse part has weight 930216776 (61.07/col)
  226. Thu Feb  1 23:19:17 2018  matrix starts at (0, 0)
  227. Thu Feb  1 23:19:21 2018  matrix is 15232545 x 15232745 (4187.7 MB) with weight 1223101586 (80.29/col)
  228. Thu Feb  1 23:19:21 2018  sparse part has weight 930216776 (61.07/col)
  229. Thu Feb  1 23:19:21 2018  saving the first 48 matrix rows for later
  230. Thu Feb  1 23:19:25 2018  matrix includes 64 packed rows
  231. Thu Feb  1 23:19:27 2018  matrix is 15232497 x 15232745 (4022.8 MB) with weight 970137040 (63.69/col)
  232. Thu Feb  1 23:19:27 2018  sparse part has weight 902213102 (59.23/col)
  233. Thu Feb  1 23:19:27 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  234. Thu Feb  1 23:20:37 2018  commencing Lanczos iteration (8 threads)
  235. Thu Feb  1 23:20:37 2018  memory use: 3334.8 MB
  236. Thu Feb  1 23:21:32 2018  linear algebra at 0.0%, ETA 147h54m
  237. Thu Feb  1 23:21:50 2018  checkpointing every 110000 dimensions
  238. Thu Feb  8 02:43:19 2018  lanczos halted after 240890 iterations (dim = 15232490)
  239. Thu Feb  8 02:44:02 2018  recovered 36 nontrivial dependencies
  240. Thu Feb  8 02:44:11 2018  BLanczosTime: 532275
  241. Thu Feb  8 02:44:11 2018  
  242. Thu Feb  8 02:44:11 2018  commencing square root phase
  243. Thu Feb  8 02:44:11 2018  handling dependencies 1 to 64
  244. Thu Feb  8 02:44:11 2018  reading relations for dependency 1
  245. Thu Feb  8 02:44:14 2018  read 7616946 cycles
  246. Thu Feb  8 02:44:23 2018  cycles contain 20886748 unique relations
  247. Thu Feb  8 02:56:24 2018  read 20886748 relations
  248. Thu Feb  8 02:58:15 2018  multiplying 20886748 relations
  249. Thu Feb  8 03:19:54 2018  multiply complete, coefficients have about 755.35 million bits
  250. Thu Feb  8 03:19:59 2018  initial square root is modulo 5978821
  251. Thu Feb  8 03:44:59 2018  sqrtTime: 3648
  252. Thu Feb  8 03:44:59 2018  p85 factor: 1855241207284127368898046737497608792708474713117420717677909129155858901047202318841
  253. Thu Feb  8 03:44:59 2018  p148 factor: 2258672543466128666976204848591086426139873889516235395443766796644806949760435435031790483402216395079284918421988642687891834881336978897495088657
  254. Thu Feb  8 03:44:59 2018  elapsed time 153:31:12
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