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  1. Tue Apr 16 20:52:01 2019  
  2. Tue Apr 16 20:52:01 2019  
  3. Tue Apr 16 20:52:01 2019  Msieve v. 1.53 (SVN 988M)
  4. Tue Apr 16 20:52:01 2019  random seeds: 8e539ee4 09fa7d7b
  5. Tue Apr 16 20:52:01 2019  factoring 190204264775865203182105738203372252765149006594827065905179242006436678559727127274146982831988437290608648637783086754956951584969831030409845455810827643133486187101992760042777378915015382933626159770659814440913271 (219 digits)
  6. Tue Apr 16 20:52:02 2019  searching for 15-digit factors
  7. Tue Apr 16 20:52:04 2019  commencing number field sieve (219-digit input)
  8. Tue Apr 16 20:52:04 2019  R0: 218908996491459873472366380725514577966081
  9. Tue Apr 16 20:52:04 2019  R1: -1
  10. Tue Apr 16 20:52:04 2019  A0: -147073
  11. Tue Apr 16 20:52:04 2019  A1: 0
  12. Tue Apr 16 20:52:04 2019  A2: 0
  13. Tue Apr 16 20:52:04 2019  A3: 0
  14. Tue Apr 16 20:52:04 2019  A4: 0
  15. Tue Apr 16 20:52:04 2019  A5: 0
  16. Tue Apr 16 20:52:04 2019  A6: 1
  17. Tue Apr 16 20:52:04 2019  skew 7.26, size 8.675e-13, alpha 2.240, combined = 1.106e-13 rroots = 2
  18. Tue Apr 16 20:52:04 2019  
  19. Tue Apr 16 20:52:04 2019  commencing relation filtering
  20. Tue Apr 16 20:52:04 2019  setting target matrix density to 120.0
  21. Tue Apr 16 20:52:04 2019  estimated available RAM is 32768.0 MB
  22. Tue Apr 16 20:52:04 2019  commencing duplicate removal, pass 1
  23. Tue Apr 16 20:58:34 2019  error -15 reading relation 66902169
  24. [9655 more error lines]
  25. Tue Apr 16 21:26:49 2019  error -11 reading relation 351625573
  26. Tue Apr 16 21:27:03 2019  skipped 65 relations with b > 2^32
  27. Tue Apr 16 21:27:03 2019  skipped 12038 relations with composite factors
  28. Tue Apr 16 21:27:03 2019  found 26181351 hash collisions in 353748079 relations
  29. Tue Apr 16 21:27:14 2019  added 1219038 free relations
  30. Tue Apr 16 21:27:14 2019  commencing duplicate removal, pass 2
  31. Tue Apr 16 21:28:59 2019  found 0 duplicates and 354967117 unique relations
  32. Tue Apr 16 21:28:59 2019  memory use: 1257.5 MB
  33. Tue Apr 16 21:28:59 2019  reading ideals above 267976704
  34. Tue Apr 16 21:28:59 2019  commencing singleton removal, initial pass
  35. Tue Apr 16 21:53:59 2019  memory use: 6024.0 MB
  36. Tue Apr 16 21:54:00 2019  reading all ideals from disk
  37. Tue Apr 16 21:54:04 2019  memory use: 6284.0 MB
  38. Tue Apr 16 21:54:16 2019  commencing in-memory singleton removal
  39. Tue Apr 16 21:54:27 2019  begin with 354967117 relations and 302709560 unique ideals
  40. Tue Apr 16 21:56:58 2019  reduce to 216170002 relations and 148259577 ideals in 16 passes
  41. Tue Apr 16 21:56:58 2019  max relations containing the same ideal: 39
  42. Tue Apr 16 21:57:15 2019  reading ideals above 720000
  43. Tue Apr 16 21:57:16 2019  commencing singleton removal, initial pass
  44. Tue Apr 16 22:18:34 2019  memory use: 5512.0 MB
  45. Tue Apr 16 22:18:34 2019  reading all ideals from disk
  46. Tue Apr 16 22:18:40 2019  memory use: 8819.3 MB
  47. Tue Apr 16 22:19:00 2019  keeping 176380561 ideals with weight <= 200, target excess is 1094084
  48. Tue Apr 16 22:19:21 2019  commencing in-memory singleton removal
  49. Tue Apr 16 22:19:36 2019  begin with 216170002 relations and 176380561 unique ideals
  50. Tue Apr 16 22:20:57 2019  reduce to 216169376 relations and 176379935 ideals in 5 passes
  51. Tue Apr 16 22:20:57 2019  max relations containing the same ideal: 200
  52. Tue Apr 16 22:22:20 2019  removing 13513499 relations and 11513499 ideals in 2000000 cliques
  53. Tue Apr 16 22:22:25 2019  commencing in-memory singleton removal
  54. Tue Apr 16 22:22:39 2019  begin with 202655877 relations and 176379935 unique ideals
  55. Tue Apr 16 22:24:40 2019  reduce to 202069652 relations and 164273178 ideals in 8 passes
  56. Tue Apr 16 22:24:40 2019  max relations containing the same ideal: 198
  57. Tue Apr 16 22:25:58 2019  removing 10097540 relations and 8097540 ideals in 2000000 cliques
  58. Tue Apr 16 22:26:02 2019  commencing in-memory singleton removal
  59. Tue Apr 16 22:26:16 2019  begin with 191972112 relations and 164273178 unique ideals
  60. Tue Apr 16 22:28:09 2019  reduce to 191601918 relations and 155801660 ideals in 8 passes
  61. Tue Apr 16 22:28:09 2019  max relations containing the same ideal: 195
  62. Tue Apr 16 22:29:23 2019  removing 9016561 relations and 7016561 ideals in 2000000 cliques
  63. Tue Apr 16 22:29:27 2019  commencing in-memory singleton removal
  64. Tue Apr 16 22:29:39 2019  begin with 182585357 relations and 155801660 unique ideals
  65. Tue Apr 16 22:31:27 2019  reduce to 182272280 relations and 148468786 ideals in 8 passes
  66. Tue Apr 16 22:31:27 2019  max relations containing the same ideal: 189
  67. Tue Apr 16 22:32:38 2019  removing 8411283 relations and 6411283 ideals in 2000000 cliques
  68. Tue Apr 16 22:32:41 2019  commencing in-memory singleton removal
  69. Tue Apr 16 22:32:53 2019  begin with 173860997 relations and 148468786 unique ideals
  70. Tue Apr 16 22:34:23 2019  reduce to 173574544 relations and 141768154 ideals in 7 passes
  71. Tue Apr 16 22:34:23 2019  max relations containing the same ideal: 186
  72. Tue Apr 16 22:35:30 2019  removing 8011453 relations and 6011453 ideals in 2000000 cliques
  73. Tue Apr 16 22:35:34 2019  commencing in-memory singleton removal
  74. Tue Apr 16 22:35:45 2019  begin with 165563091 relations and 141768154 unique ideals
  75. Tue Apr 16 22:37:10 2019  reduce to 165291283 relations and 135482057 ideals in 7 passes
  76. Tue Apr 16 22:37:10 2019  max relations containing the same ideal: 180
  77. Tue Apr 16 22:38:15 2019  removing 7723400 relations and 5723400 ideals in 2000000 cliques
  78. Tue Apr 16 22:38:18 2019  commencing in-memory singleton removal
  79. Tue Apr 16 22:38:29 2019  begin with 157567883 relations and 135482057 unique ideals
  80. Tue Apr 16 22:40:01 2019  reduce to 157308403 relations and 129496367 ideals in 8 passes
  81. Tue Apr 16 22:40:01 2019  max relations containing the same ideal: 173
  82. Tue Apr 16 22:41:02 2019  removing 7502828 relations and 5502828 ideals in 2000000 cliques
  83. Tue Apr 16 22:41:05 2019  commencing in-memory singleton removal
  84. Tue Apr 16 22:41:16 2019  begin with 149805575 relations and 129496367 unique ideals
  85. Tue Apr 16 22:42:32 2019  reduce to 149551304 relations and 123736279 ideals in 7 passes
  86. Tue Apr 16 22:42:32 2019  max relations containing the same ideal: 168
  87. Tue Apr 16 22:43:31 2019  removing 7326421 relations and 5326421 ideals in 2000000 cliques
  88. Tue Apr 16 22:43:34 2019  commencing in-memory singleton removal
  89. Tue Apr 16 22:43:43 2019  begin with 142224883 relations and 123736279 unique ideals
  90. Tue Apr 16 22:45:06 2019  reduce to 141974333 relations and 118156347 ideals in 8 passes
  91. Tue Apr 16 22:45:06 2019  max relations containing the same ideal: 162
  92. Tue Apr 16 22:46:01 2019  removing 7187132 relations and 5187132 ideals in 2000000 cliques
  93. Tue Apr 16 22:46:04 2019  commencing in-memory singleton removal
  94. Tue Apr 16 22:46:14 2019  begin with 134787201 relations and 118156347 unique ideals
  95. Tue Apr 16 22:47:12 2019  reduce to 134538029 relations and 112716863 ideals in 6 passes
  96. Tue Apr 16 22:47:12 2019  max relations containing the same ideal: 157
  97. Tue Apr 16 22:48:05 2019  removing 7066826 relations and 5066826 ideals in 2000000 cliques
  98. Tue Apr 16 22:48:08 2019  commencing in-memory singleton removal
  99. Tue Apr 16 22:48:16 2019  begin with 127471203 relations and 112716863 unique ideals
  100. Tue Apr 16 22:49:11 2019  reduce to 127221821 relations and 107397485 ideals in 6 passes
  101. Tue Apr 16 22:49:11 2019  max relations containing the same ideal: 151
  102. Tue Apr 16 22:50:02 2019  removing 6965120 relations and 4965120 ideals in 2000000 cliques
  103. Tue Apr 16 22:50:04 2019  commencing in-memory singleton removal
  104. Tue Apr 16 22:50:12 2019  begin with 120256701 relations and 107397485 unique ideals
  105. Tue Apr 16 22:51:13 2019  reduce to 120004795 relations and 102176987 ideals in 7 passes
  106. Tue Apr 16 22:51:13 2019  max relations containing the same ideal: 146
  107. Tue Apr 16 22:52:00 2019  removing 6880818 relations and 4880818 ideals in 2000000 cliques
  108. Tue Apr 16 22:52:03 2019  commencing in-memory singleton removal
  109. Tue Apr 16 22:52:10 2019  begin with 113123977 relations and 102176987 unique ideals
  110. Tue Apr 16 22:53:07 2019  reduce to 112867197 relations and 97035514 ideals in 7 passes
  111. Tue Apr 16 22:53:07 2019  max relations containing the same ideal: 143
  112. Tue Apr 16 22:53:51 2019  removing 6803526 relations and 4803526 ideals in 2000000 cliques
  113. Tue Apr 16 22:53:54 2019  commencing in-memory singleton removal
  114. Tue Apr 16 22:54:01 2019  begin with 106063671 relations and 97035514 unique ideals
  115. Tue Apr 16 22:54:46 2019  reduce to 105799481 relations and 91963755 ideals in 6 passes
  116. Tue Apr 16 22:54:46 2019  max relations containing the same ideal: 134
  117. Tue Apr 16 22:55:28 2019  removing 6741014 relations and 4741014 ideals in 2000000 cliques
  118. Tue Apr 16 22:55:30 2019  commencing in-memory singleton removal
  119. Tue Apr 16 22:55:37 2019  begin with 99058467 relations and 91963755 unique ideals
  120. Tue Apr 16 22:56:19 2019  reduce to 98785161 relations and 86944853 ideals in 6 passes
  121. Tue Apr 16 22:56:19 2019  max relations containing the same ideal: 128
  122. Tue Apr 16 22:56:58 2019  removing 6691848 relations and 4691848 ideals in 2000000 cliques
  123. Tue Apr 16 22:57:01 2019  commencing in-memory singleton removal
  124. Tue Apr 16 22:57:07 2019  begin with 92093313 relations and 86944853 unique ideals
  125. Tue Apr 16 22:57:59 2019  reduce to 91804826 relations and 81959416 ideals in 8 passes
  126. Tue Apr 16 22:57:59 2019  max relations containing the same ideal: 121
  127. Tue Apr 16 22:58:35 2019  removing 6651695 relations and 4651695 ideals in 2000000 cliques
  128. Tue Apr 16 22:58:37 2019  commencing in-memory singleton removal
  129. Tue Apr 16 22:58:43 2019  begin with 85153131 relations and 81959416 unique ideals
  130. Tue Apr 16 22:59:24 2019  reduce to 84845726 relations and 76994579 ideals in 7 passes
  131. Tue Apr 16 22:59:24 2019  max relations containing the same ideal: 118
  132. Tue Apr 16 22:59:58 2019  removing 6636743 relations and 4636743 ideals in 2000000 cliques
  133. Tue Apr 16 23:00:00 2019  commencing in-memory singleton removal
  134. Tue Apr 16 23:00:05 2019  begin with 78208983 relations and 76994579 unique ideals
  135. Tue Apr 16 23:00:44 2019  reduce to 77874543 relations and 72016603 ideals in 7 passes
  136. Tue Apr 16 23:00:44 2019  max relations containing the same ideal: 109
  137. Tue Apr 16 23:01:15 2019  removing 6636125 relations and 4636125 ideals in 2000000 cliques
  138. Tue Apr 16 23:01:17 2019  commencing in-memory singleton removal
  139. Tue Apr 16 23:01:22 2019  begin with 71238418 relations and 72016603 unique ideals
  140. Tue Apr 16 23:01:56 2019  reduce to 70864458 relations and 66998214 ideals in 7 passes
  141. Tue Apr 16 23:01:56 2019  max relations containing the same ideal: 102
  142. Tue Apr 16 23:02:24 2019  removing 6671190 relations and 4671190 ideals in 2000000 cliques
  143. Tue Apr 16 23:02:27 2019  commencing in-memory singleton removal
  144. Tue Apr 16 23:02:31 2019  begin with 64193268 relations and 66998214 unique ideals
  145. Tue Apr 16 23:03:02 2019  reduce to 63760575 relations and 61884142 ideals in 7 passes
  146. Tue Apr 16 23:03:02 2019  max relations containing the same ideal: 95
  147. Tue Apr 16 23:03:27 2019  removing 2549809 relations and 1942514 ideals in 607295 cliques
  148. Tue Apr 16 23:03:28 2019  commencing in-memory singleton removal
  149. Tue Apr 16 23:03:32 2019  begin with 61210766 relations and 61884142 unique ideals
  150. Tue Apr 16 23:03:57 2019  reduce to 61144530 relations and 59874836 ideals in 6 passes
  151. Tue Apr 16 23:03:57 2019  max relations containing the same ideal: 92
  152. Tue Apr 16 23:04:28 2019  relations with 0 large ideals: 41054
  153. Tue Apr 16 23:04:28 2019  relations with 1 large ideals: 19738
  154. Tue Apr 16 23:04:28 2019  relations with 2 large ideals: 254349
  155. Tue Apr 16 23:04:28 2019  relations with 3 large ideals: 1657845
  156. Tue Apr 16 23:04:28 2019  relations with 4 large ideals: 5848715
  157. Tue Apr 16 23:04:28 2019  relations with 5 large ideals: 12338701
  158. Tue Apr 16 23:04:28 2019  relations with 6 large ideals: 16312078
  159. Tue Apr 16 23:04:28 2019  relations with 7+ large ideals: 24672050
  160. Tue Apr 16 23:04:28 2019  commencing 2-way merge
  161. Tue Apr 16 23:05:03 2019  reduce to 41243606 relation sets and 39973912 unique ideals
  162. Tue Apr 16 23:05:03 2019  commencing full merge
  163. Tue Apr 16 23:19:38 2019  memory use: 5116.8 MB
  164. Tue Apr 16 23:19:47 2019  found 18445440 cycles, need 18356112
  165. Tue Apr 16 23:19:48 2019  weight of 18356112 cycles is about 2203470664 (120.04/cycle)
  166. Tue Apr 16 23:19:48 2019  distribution of cycle lengths:
  167. Tue Apr 16 23:19:48 2019  1 relations: 661841
  168. Tue Apr 16 23:19:48 2019  2 relations: 1014471
  169. Tue Apr 16 23:19:48 2019  3 relations: 1237283
  170. Tue Apr 16 23:19:48 2019  4 relations: 1317242
  171. Tue Apr 16 23:19:48 2019  5 relations: 1378879
  172. Tue Apr 16 23:19:48 2019  6 relations: 1382005
  173. Tue Apr 16 23:19:48 2019  7 relations: 1373754
  174. Tue Apr 16 23:19:48 2019  8 relations: 1319044
  175. Tue Apr 16 23:19:48 2019  9 relations: 1245507
  176. Tue Apr 16 23:19:48 2019  10+ relations: 7426086
  177. Tue Apr 16 23:19:48 2019  heaviest cycle: 28 relations
  178. Tue Apr 16 23:19:55 2019  commencing cycle optimization
  179. Tue Apr 16 23:20:38 2019  start with 163239897 relations
  180. Tue Apr 16 23:27:54 2019  pruned 7735981 relations
  181. Tue Apr 16 23:27:54 2019  memory use: 4232.4 MB
  182. Tue Apr 16 23:27:54 2019  distribution of cycle lengths:
  183. Tue Apr 16 23:27:54 2019  1 relations: 661841
  184. Tue Apr 16 23:27:54 2019  2 relations: 1041235
  185. Tue Apr 16 23:27:54 2019  3 relations: 1292058
  186. Tue Apr 16 23:27:54 2019  4 relations: 1375083
  187. Tue Apr 16 23:27:54 2019  5 relations: 1454093
  188. Tue Apr 16 23:27:54 2019  6 relations: 1454367
  189. Tue Apr 16 23:27:54 2019  7 relations: 1452371
  190. Tue Apr 16 23:27:54 2019  8 relations: 1387130
  191. Tue Apr 16 23:27:54 2019  9 relations: 1306591
  192. Tue Apr 16 23:27:54 2019  10+ relations: 6931343
  193. Tue Apr 16 23:27:54 2019  heaviest cycle: 28 relations
  194. Tue Apr 16 23:28:38 2019  RelProcTime: 9394
  195. Tue Apr 16 23:28:38 2019  elapsed time 02:36:37
  196. Wed Apr 17 05:38:33 2019  
  197. Wed Apr 17 05:38:33 2019  
  198. Wed Apr 17 05:38:33 2019  Msieve v. 1.53 (SVN 988M)
  199. Wed Apr 17 05:38:33 2019  random seeds: 2c235f47 f30faf93
  200. Wed Apr 17 05:38:33 2019  factoring 190204264775865203182105738203372252765149006594827065905179242006436678559727127274146982831988437290608648637783086754956951584969831030409845455810827643133486187101992760042777378915015382933626159770659814440913271 (219 digits)
  201. Wed Apr 17 05:38:34 2019  searching for 15-digit factors
  202. Wed Apr 17 05:38:35 2019  commencing number field sieve (219-digit input)
  203. Wed Apr 17 05:38:35 2019  R0: 218908996491459873472366380725514577966081
  204. Wed Apr 17 05:38:35 2019  R1: -1
  205. Wed Apr 17 05:38:35 2019  A0: -147073
  206. Wed Apr 17 05:38:35 2019  A1: 0
  207. Wed Apr 17 05:38:35 2019  A2: 0
  208. Wed Apr 17 05:38:35 2019  A3: 0
  209. Wed Apr 17 05:38:35 2019  A4: 0
  210. Wed Apr 17 05:38:35 2019  A5: 0
  211. Wed Apr 17 05:38:35 2019  A6: 1
  212. Wed Apr 17 05:38:35 2019  skew 7.26, size 8.675e-13, alpha 2.240, combined = 1.106e-13 rroots = 2
  213. Wed Apr 17 05:38:35 2019  
  214. Wed Apr 17 05:38:35 2019  commencing linear algebra
  215. Wed Apr 17 05:38:39 2019  read 18356112 cycles
  216. Wed Apr 17 05:39:19 2019  cycles contain 60562743 unique relations
  217. Wed Apr 17 05:43:14 2019  read 60562743 relations
  218. Wed Apr 17 05:45:31 2019  using 20 quadratic characters above 4294917295
  219. Wed Apr 17 05:49:05 2019  building initial matrix
  220. Wed Apr 17 05:59:37 2019  memory use: 7593.2 MB
  221. Wed Apr 17 05:59:55 2019  read 18356112 cycles
  222. Wed Apr 17 05:59:56 2019  matrix is 18355935 x 18356112 (8533.1 MB) with weight 2425350105 (132.13/col)
  223. Wed Apr 17 05:59:56 2019  sparse part has weight 2053329232 (111.86/col)
  224. Wed Apr 17 06:03:18 2019  filtering completed in 2 passes
  225. Wed Apr 17 06:03:21 2019  matrix is 18355677 x 18355854 (8533.0 MB) with weight 2425341742 (132.13/col)
  226. Wed Apr 17 06:03:21 2019  sparse part has weight 2053325967 (111.86/col)
  227. Wed Apr 17 06:04:25 2019  matrix starts at (0, 0)
  228. Wed Apr 17 06:04:27 2019  matrix is 18355677 x 18355854 (8533.0 MB) with weight 2425341742 (132.13/col)
  229. Wed Apr 17 06:04:27 2019  sparse part has weight 2053325967 (111.86/col)
  230. Wed Apr 17 06:04:27 2019  saving the first 48 matrix rows for later
  231. Wed Apr 17 06:04:30 2019  matrix includes 64 packed rows
  232. Wed Apr 17 06:04:31 2019  matrix is 18355629 x 18355854 (8213.7 MB) with weight 2083251519 (113.49/col)
  233. Wed Apr 17 06:04:31 2019  sparse part has weight 1969609371 (107.30/col)
  234. Wed Apr 17 06:04:31 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  235. Wed Apr 17 06:06:08 2019  commencing Lanczos iteration (8 threads)
  236. Wed Apr 17 06:06:08 2019  memory use: 7096.9 MB
  237. Wed Apr 17 06:06:51 2019  linear algebra at 0.0%, ETA 137h53m
  238. Wed Apr 17 06:07:04 2019  checkpointing every 140000 dimensions
  239. Mon Apr 22 22:13:38 2019  lanczos halted after 290279 iterations (dim = 18355626)
  240. Mon Apr 22 22:13:53 2019  recovered 33 nontrivial dependencies
  241. Mon Apr 22 22:13:58 2019  BLanczosTime: 491723
  242. Mon Apr 22 22:13:58 2019  
  243. Mon Apr 22 22:13:58 2019  commencing square root phase
  244. Mon Apr 22 22:13:58 2019  reading relations for dependency 1
  245. Mon Apr 22 22:14:02 2019  read 9181025 cycles
  246. Mon Apr 22 22:14:20 2019  cycles contain 30287792 unique relations
  247. Mon Apr 22 22:16:30 2019  read 30287792 relations
  248. Mon Apr 22 22:18:49 2019  multiplying 30287792 relations
  249. Mon Apr 22 22:37:01 2019  multiply complete, coefficients have about 814.13 million bits
  250. Mon Apr 22 22:37:03 2019  initial square root is modulo 20134669
  251. Mon Apr 22 22:55:39 2019  sqrtTime: 2501
  252. Mon Apr 22 22:55:39 2019  p104 factor: 84912055872578327743399128447708508026124704451697012089188597811532491823935638503010309577531644410977
  253. Mon Apr 22 22:55:39 2019  p115 factor: 2240014834422236098767647019286762708072630081435924655385018200759249539913749465850265748801336691556996658910423
  254. Mon Apr 22 22:55:39 2019  elapsed time 137:17:06
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