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10^251-9^251 linear algebra log

fivemack Jul 1st, 2019 72 Never
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  1. Sun Jun 23 17:02:56 2019  
  2. Sun Jun 23 17:02:56 2019  
  3. Sun Jun 23 17:02:56 2019  Msieve v. 1.53 (SVN 993)
  4. Sun Jun 23 17:02:56 2019  random seeds: d78acd3e b1ef9f51
  5. Sun Jun 23 17:02:56 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  6. Sun Jun 23 17:02:57 2019  no P-1/P+1/ECM available, skipping
  7. Sun Jun 23 17:02:57 2019  commencing number field sieve (213-digit input)
  8. Sun Jun 23 17:02:57 2019  R0: 1000000000000000000000000000000000000000000
  9. Sun Jun 23 17:02:57 2019  R1: -11972515182562019788602740026717047105681
  10. Sun Jun 23 17:02:57 2019  A0: -10
  11. Sun Jun 23 17:02:57 2019  A1: 0
  12. Sun Jun 23 17:02:57 2019  A2: 0
  13. Sun Jun 23 17:02:57 2019  A3: 0
  14. Sun Jun 23 17:02:57 2019  A4: 0
  15. Sun Jun 23 17:02:57 2019  A5: 0
  16. Sun Jun 23 17:02:57 2019  A6: 9
  17. Sun Jun 23 17:02:57 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  18. Sun Jun 23 17:02:57 2019  
  19. Sun Jun 23 17:02:57 2019  commencing relation filtering
  20. Sun Jun 23 17:02:57 2019  setting target matrix density to 70.0
  21. Sun Jun 23 17:02:57 2019  estimated available RAM is 95375.2 MB
  22. Sun Jun 23 17:02:57 2019  commencing duplicate removal, pass 1
  23.   3 errors
  24. Sun Jun 23 17:39:18 2019  skipped 2 relations with composite factors
  25. Sun Jun 23 17:39:18 2019  found 7236685 hash collisions in 181181340 relations
  26. Sun Jun 23 17:39:46 2019  added 1218074 free relations
  27. Sun Jun 23 17:39:46 2019  commencing duplicate removal, pass 2
  28. Sun Jun 23 17:41:03 2019  found 0 duplicates and 182399414 unique relations
  29. Sun Jun 23 17:41:03 2019  memory use: 522.4 MB
  30. Sun Jun 23 17:41:03 2019  reading ideals above 720000
  31. Sun Jun 23 17:41:03 2019  commencing singleton removal, initial pass
  32. Sun Jun 23 18:24:16 2019  memory use: 5512.0 MB
  33. Sun Jun 23 18:24:17 2019  reading all ideals from disk
  34. Sun Jun 23 18:24:22 2019  memory use: 7330.5 MB
  35. Sun Jun 23 18:24:57 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  36. Sun Jun 23 18:25:37 2019  commencing in-memory singleton removal
  37. Sun Jun 23 18:26:05 2019  begin with 182399414 relations and 176599099 unique ideals
  38. Sun Jun 23 18:31:39 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  39. Sun Jun 23 18:31:39 2019  max relations containing the same ideal: 155
  40. Sun Jun 23 18:33:09 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  41. Sun Jun 23 18:33:13 2019  commencing in-memory singleton removal
  42. Sun Jun 23 18:33:28 2019  begin with 100081580 relations and 98922898 unique ideals
  43. Sun Jun 23 18:36:05 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  44. Sun Jun 23 18:36:05 2019  max relations containing the same ideal: 140
  45. Sun Jun 23 18:37:29 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  46. Sun Jun 23 18:37:35 2019  commencing in-memory singleton removal
  47. Sun Jun 23 18:37:48 2019  begin with 89592921 relations and 87487267 unique ideals
  48. Sun Jun 23 18:39:52 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  49. Sun Jun 23 18:39:52 2019  max relations containing the same ideal: 133
  50. Sun Jun 23 18:41:10 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  51. Sun Jun 23 18:41:15 2019  commencing in-memory singleton removal
  52. Sun Jun 23 18:41:26 2019  begin with 80388613 relations and 79367856 unique ideals
  53. Sun Jun 23 18:43:14 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  54. Sun Jun 23 18:43:14 2019  max relations containing the same ideal: 125
  55. Sun Jun 23 18:44:23 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  56. Sun Jun 23 18:44:28 2019  commencing in-memory singleton removal
  57. Sun Jun 23 18:44:38 2019  begin with 71724566 relations and 72225849 unique ideals
  58. Sun Jun 23 18:46:10 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  59. Sun Jun 23 18:46:10 2019  max relations containing the same ideal: 118
  60. Sun Jun 23 18:47:03 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  61. Sun Jun 23 18:47:07 2019  commencing in-memory singleton removal
  62. Sun Jun 23 18:47:15 2019  begin with 63361081 relations and 65567623 unique ideals
  63. Sun Jun 23 18:48:28 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  64. Sun Jun 23 18:48:28 2019  max relations containing the same ideal: 106
  65. Sun Jun 23 18:49:24 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  66. Sun Jun 23 18:49:28 2019  commencing in-memory singleton removal
  67. Sun Jun 23 18:49:35 2019  begin with 55151491 relations and 59171450 unique ideals
  68. Sun Jun 23 18:50:47 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  69. Sun Jun 23 18:50:47 2019  max relations containing the same ideal: 97
  70. Sun Jun 23 18:51:34 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  71. Sun Jun 23 18:51:37 2019  commencing in-memory singleton removal
  72. Sun Jun 23 18:51:43 2019  begin with 52004380 relations and 52889556 unique ideals
  73. Sun Jun 23 18:52:33 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  74. Sun Jun 23 18:52:33 2019  max relations containing the same ideal: 96
  75. Sun Jun 23 18:53:32 2019  relations with 0 large ideals: 34547
  76. Sun Jun 23 18:53:32 2019  relations with 1 large ideals: 17188
  77. Sun Jun 23 18:53:32 2019  relations with 2 large ideals: 210797
  78. Sun Jun 23 18:53:32 2019  relations with 3 large ideals: 1355980
  79. Sun Jun 23 18:53:32 2019  relations with 4 large ideals: 4794338
  80. Sun Jun 23 18:53:32 2019  relations with 5 large ideals: 10260420
  81. Sun Jun 23 18:53:32 2019  relations with 6 large ideals: 13789622
  82. Sun Jun 23 18:53:32 2019  relations with 7+ large ideals: 21464929
  83. Sun Jun 23 18:53:32 2019  commencing 2-way merge
  84. Sun Jun 23 18:54:31 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  85. Sun Jun 23 18:54:31 2019  commencing full merge
  86. Sun Jun 23 19:08:37 2019  memory use: 3961.8 MB
  87. Sun Jun 23 19:08:43 2019  found 18541892 cycles, need 18394694
  88. Sun Jun 23 19:08:55 2019  weight of 18394694 cycles is about 1287841138 (70.01/cycle)
  89. Sun Jun 23 19:08:55 2019  distribution of cycle lengths:
  90. Sun Jun 23 19:08:55 2019  1 relations: 2157609
  91. Sun Jun 23 19:08:55 2019  2 relations: 2355960
  92. Sun Jun 23 19:08:55 2019  3 relations: 2393335
  93. Sun Jun 23 19:08:55 2019  4 relations: 2179290
  94. Sun Jun 23 19:08:55 2019  5 relations: 1948955
  95. Sun Jun 23 19:08:55 2019  6 relations: 1696071
  96. Sun Jun 23 19:08:55 2019  7 relations: 1442948
  97. Sun Jun 23 19:08:55 2019  8 relations: 1176769
  98. Sun Jun 23 19:08:55 2019  9 relations: 925028
  99. Sun Jun 23 19:08:55 2019  10+ relations: 2118729
  100. Sun Jun 23 19:08:55 2019  heaviest cycle: 19 relations
  101. Sun Jun 23 19:09:05 2019  commencing cycle optimization
  102. Sun Jun 23 19:09:51 2019  start with 95058023 relations
  103. Sun Jun 23 19:13:19 2019  pruned 2356602 relations
  104. Sun Jun 23 19:13:21 2019  memory use: 3126.9 MB
  105. Sun Jun 23 19:13:21 2019  distribution of cycle lengths:
  106. Sun Jun 23 19:13:21 2019  1 relations: 2157609
  107. Sun Jun 23 19:13:21 2019  2 relations: 2407033
  108. Sun Jun 23 19:13:21 2019  3 relations: 2480822
  109. Sun Jun 23 19:13:21 2019  4 relations: 2233895
  110. Sun Jun 23 19:13:21 2019  5 relations: 1998857
  111. Sun Jun 23 19:13:21 2019  6 relations: 1721559
  112. Sun Jun 23 19:13:21 2019  7 relations: 1452692
  113. Sun Jun 23 19:13:21 2019  8 relations: 1167382
  114. Sun Jun 23 19:13:21 2019  9 relations: 902280
  115. Sun Jun 23 19:13:21 2019  10+ relations: 1872565
  116. Sun Jun 23 19:13:21 2019  heaviest cycle: 19 relations
  117. Sun Jun 23 19:14:05 2019  RelProcTime: 7868
  118. Sun Jun 23 19:14:08 2019  elapsed time 02:11:12
  119. Sun Jun 23 19:14:09 2019  
  120. Sun Jun 23 19:14:09 2019  
  121. Sun Jun 23 19:14:09 2019  Msieve v. 1.53 (SVN 993)
  122. Sun Jun 23 19:14:09 2019  random seeds: c6fb57c2 d44f50e8
  123. Sun Jun 23 19:14:09 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  124. Sun Jun 23 19:14:11 2019  no P-1/P+1/ECM available, skipping
  125. Sun Jun 23 19:14:11 2019  commencing number field sieve (213-digit input)
  126. Sun Jun 23 19:14:11 2019  R0: 1000000000000000000000000000000000000000000
  127. Sun Jun 23 19:14:11 2019  R1: -11972515182562019788602740026717047105681
  128. Sun Jun 23 19:14:11 2019  A0: -10
  129. Sun Jun 23 19:14:11 2019  A1: 0
  130. Sun Jun 23 19:14:11 2019  A2: 0
  131. Sun Jun 23 19:14:11 2019  A3: 0
  132. Sun Jun 23 19:14:11 2019  A4: 0
  133. Sun Jun 23 19:14:11 2019  A5: 0
  134. Sun Jun 23 19:14:11 2019  A6: 9
  135. Sun Jun 23 19:14:11 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  136. Sun Jun 23 19:14:11 2019  
  137. Sun Jun 23 19:14:11 2019  commencing relation filtering
  138. Sun Jun 23 19:14:11 2019  setting target matrix density to 134.0
  139. Sun Jun 23 19:14:11 2019  estimated available RAM is 95375.2 MB
  140. Sun Jun 23 19:14:11 2019  commencing duplicate removal, pass 1
  141.   3 errors
  142. Sun Jun 23 19:45:20 2019  skipped 2 relations with composite factors
  143. Sun Jun 23 19:45:20 2019  found 7330951 hash collisions in 182399414 relations
  144. Sun Jun 23 19:45:37 2019  commencing duplicate removal, pass 2
  145. Sun Jun 23 19:46:35 2019  found 0 duplicates and 182399414 unique relations
  146. Sun Jun 23 19:46:35 2019  memory use: 522.4 MB
  147. Sun Jun 23 19:46:35 2019  reading ideals above 720000
  148. Sun Jun 23 19:46:35 2019  commencing singleton removal, initial pass
  149. Sun Jun 23 20:22:39 2019  memory use: 5512.0 MB
  150. Sun Jun 23 20:22:39 2019  reading all ideals from disk
  151. Sun Jun 23 20:22:45 2019  memory use: 7330.5 MB
  152. Sun Jun 23 20:23:31 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  153. Sun Jun 23 20:24:23 2019  commencing in-memory singleton removal
  154. Sun Jun 23 20:24:57 2019  begin with 182399414 relations and 176599099 unique ideals
  155. Sun Jun 23 20:32:11 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  156. Sun Jun 23 20:32:11 2019  max relations containing the same ideal: 155
  157. Sun Jun 23 20:34:24 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  158. Sun Jun 23 20:34:31 2019  commencing in-memory singleton removal
  159. Sun Jun 23 20:34:47 2019  begin with 100081580 relations and 98922898 unique ideals
  160. Sun Jun 23 20:37:36 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  161. Sun Jun 23 20:37:36 2019  max relations containing the same ideal: 140
  162. Sun Jun 23 20:39:28 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  163. Sun Jun 23 20:39:34 2019  commencing in-memory singleton removal
  164. Sun Jun 23 20:39:46 2019  begin with 89592921 relations and 87487267 unique ideals
  165. Sun Jun 23 20:41:29 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  166. Sun Jun 23 20:41:29 2019  max relations containing the same ideal: 133
  167. Sun Jun 23 20:42:57 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  168. Sun Jun 23 20:43:02 2019  commencing in-memory singleton removal
  169. Sun Jun 23 20:43:12 2019  begin with 80388613 relations and 79367856 unique ideals
  170. Sun Jun 23 20:45:25 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  171. Sun Jun 23 20:45:25 2019  max relations containing the same ideal: 125
  172. Sun Jun 23 20:46:29 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  173. Sun Jun 23 20:46:34 2019  commencing in-memory singleton removal
  174. Sun Jun 23 20:46:44 2019  begin with 71724566 relations and 72225849 unique ideals
  175. Sun Jun 23 20:48:20 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  176. Sun Jun 23 20:48:20 2019  max relations containing the same ideal: 118
  177. Sun Jun 23 20:49:26 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  178. Sun Jun 23 20:49:31 2019  commencing in-memory singleton removal
  179. Sun Jun 23 20:49:39 2019  begin with 63361081 relations and 65567623 unique ideals
  180. Sun Jun 23 20:50:53 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  181. Sun Jun 23 20:50:53 2019  max relations containing the same ideal: 106
  182. Sun Jun 23 20:51:51 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  183. Sun Jun 23 20:51:56 2019  commencing in-memory singleton removal
  184. Sun Jun 23 20:52:03 2019  begin with 55151491 relations and 59171450 unique ideals
  185. Sun Jun 23 20:53:15 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  186. Sun Jun 23 20:53:15 2019  max relations containing the same ideal: 97
  187. Sun Jun 23 20:54:06 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  188. Sun Jun 23 20:54:09 2019  commencing in-memory singleton removal
  189. Sun Jun 23 20:54:16 2019  begin with 52004380 relations and 52889556 unique ideals
  190. Sun Jun 23 20:55:07 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  191. Sun Jun 23 20:55:07 2019  max relations containing the same ideal: 96
  192. Sun Jun 23 20:56:09 2019  relations with 0 large ideals: 34547
  193. Sun Jun 23 20:56:09 2019  relations with 1 large ideals: 17188
  194. Sun Jun 23 20:56:09 2019  relations with 2 large ideals: 210797
  195. Sun Jun 23 20:56:09 2019  relations with 3 large ideals: 1355980
  196. Sun Jun 23 20:56:09 2019  relations with 4 large ideals: 4794338
  197. Sun Jun 23 20:56:09 2019  relations with 5 large ideals: 10260420
  198. Sun Jun 23 20:56:09 2019  relations with 6 large ideals: 13789622
  199. Sun Jun 23 20:56:09 2019  relations with 7+ large ideals: 21464929
  200. Sun Jun 23 20:56:09 2019  commencing 2-way merge
  201. Sun Jun 23 20:57:09 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  202. Sun Jun 23 20:57:09 2019  commencing full merge
  203. Sun Jun 23 21:44:01 2019  memory use: 1547.7 MB
  204. Sun Jun 23 21:44:01 2019  found 128150 cycles, need 7386614
  205. Sun Jun 23 21:44:01 2019  too few cycles, matrix probably cannot build
  206. Sun Jun 23 21:44:02 2019  
  207. Sun Jun 23 21:44:02 2019  
  208. Sun Jun 23 21:44:02 2019  Msieve v. 1.53 (SVN 993)
  209. Sun Jun 23 21:44:02 2019  random seeds: 6774a11c 1c540828
  210. Sun Jun 23 21:44:02 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  211. Sun Jun 23 21:44:04 2019  no P-1/P+1/ECM available, skipping
  212. Sun Jun 23 21:44:04 2019  commencing number field sieve (213-digit input)
  213. Sun Jun 23 21:44:04 2019  R0: 1000000000000000000000000000000000000000000
  214. Sun Jun 23 21:44:04 2019  R1: -11972515182562019788602740026717047105681
  215. Sun Jun 23 21:44:04 2019  A0: -10
  216. Sun Jun 23 21:44:04 2019  A1: 0
  217. Sun Jun 23 21:44:04 2019  A2: 0
  218. Sun Jun 23 21:44:04 2019  A3: 0
  219. Sun Jun 23 21:44:04 2019  A4: 0
  220. Sun Jun 23 21:44:04 2019  A5: 0
  221. Sun Jun 23 21:44:04 2019  A6: 9
  222. Sun Jun 23 21:44:04 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  223. Sun Jun 23 21:44:04 2019  
  224. Sun Jun 23 21:44:04 2019  commencing relation filtering
  225. Sun Jun 23 21:44:04 2019  setting target matrix density to 102.0
  226. Sun Jun 23 21:44:04 2019  estimated available RAM is 95375.2 MB
  227. Sun Jun 23 21:44:04 2019  commencing duplicate removal, pass 1
  228.   3 errors
  229. Sun Jun 23 22:25:24 2019  skipped 2 relations with composite factors
  230. Sun Jun 23 22:25:24 2019  found 7330951 hash collisions in 182399414 relations
  231. Sun Jun 23 22:25:46 2019  commencing duplicate removal, pass 2
  232. Sun Jun 23 22:26:52 2019  found 0 duplicates and 182399414 unique relations
  233. Sun Jun 23 22:26:52 2019  memory use: 522.4 MB
  234. Sun Jun 23 22:26:52 2019  reading ideals above 720000
  235. Sun Jun 23 22:26:53 2019  commencing singleton removal, initial pass
  236. Sun Jun 23 23:11:34 2019  memory use: 5512.0 MB
  237. Sun Jun 23 23:11:34 2019  reading all ideals from disk
  238. Sun Jun 23 23:11:40 2019  memory use: 7330.5 MB
  239. Sun Jun 23 23:12:16 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  240. Sun Jun 23 23:12:46 2019  commencing in-memory singleton removal
  241. Sun Jun 23 23:13:14 2019  begin with 182399414 relations and 176599099 unique ideals
  242. Sun Jun 23 23:19:00 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  243. Sun Jun 23 23:19:00 2019  max relations containing the same ideal: 155
  244. Sun Jun 23 23:20:41 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  245. Sun Jun 23 23:20:48 2019  commencing in-memory singleton removal
  246. Sun Jun 23 23:21:03 2019  begin with 100081580 relations and 98922898 unique ideals
  247. Sun Jun 23 23:23:48 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  248. Sun Jun 23 23:23:48 2019  max relations containing the same ideal: 140
  249. Sun Jun 23 23:25:15 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  250. Sun Jun 23 23:25:21 2019  commencing in-memory singleton removal
  251. Sun Jun 23 23:25:34 2019  begin with 89592921 relations and 87487267 unique ideals
  252. Sun Jun 23 23:27:26 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  253. Sun Jun 23 23:27:26 2019  max relations containing the same ideal: 133
  254. Sun Jun 23 23:28:46 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  255. Sun Jun 23 23:28:51 2019  commencing in-memory singleton removal
  256. Sun Jun 23 23:29:03 2019  begin with 80388613 relations and 79367856 unique ideals
  257. Sun Jun 23 23:30:56 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  258. Sun Jun 23 23:30:56 2019  max relations containing the same ideal: 125
  259. Sun Jun 23 23:32:08 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  260. Sun Jun 23 23:32:12 2019  commencing in-memory singleton removal
  261. Sun Jun 23 23:32:22 2019  begin with 71724566 relations and 72225849 unique ideals
  262. Sun Jun 23 23:34:00 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  263. Sun Jun 23 23:34:00 2019  max relations containing the same ideal: 118
  264. Sun Jun 23 23:35:04 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  265. Sun Jun 23 23:35:09 2019  commencing in-memory singleton removal
  266. Sun Jun 23 23:35:18 2019  begin with 63361081 relations and 65567623 unique ideals
  267. Sun Jun 23 23:36:33 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  268. Sun Jun 23 23:36:33 2019  max relations containing the same ideal: 106
  269. Sun Jun 23 23:37:29 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  270. Sun Jun 23 23:37:33 2019  commencing in-memory singleton removal
  271. Sun Jun 23 23:37:41 2019  begin with 55151491 relations and 59171450 unique ideals
  272. Sun Jun 23 23:38:52 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  273. Sun Jun 23 23:38:52 2019  max relations containing the same ideal: 97
  274. Sun Jun 23 23:39:32 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  275. Sun Jun 23 23:39:35 2019  commencing in-memory singleton removal
  276. Sun Jun 23 23:39:42 2019  begin with 52004380 relations and 52889556 unique ideals
  277. Sun Jun 23 23:40:33 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  278. Sun Jun 23 23:40:33 2019  max relations containing the same ideal: 96
  279. Sun Jun 23 23:41:33 2019  relations with 0 large ideals: 34547
  280. Sun Jun 23 23:41:33 2019  relations with 1 large ideals: 17188
  281. Sun Jun 23 23:41:33 2019  relations with 2 large ideals: 210797
  282. Sun Jun 23 23:41:33 2019  relations with 3 large ideals: 1355980
  283. Sun Jun 23 23:41:33 2019  relations with 4 large ideals: 4794338
  284. Sun Jun 23 23:41:33 2019  relations with 5 large ideals: 10260420
  285. Sun Jun 23 23:41:33 2019  relations with 6 large ideals: 13789622
  286. Sun Jun 23 23:41:33 2019  relations with 7+ large ideals: 21464929
  287. Sun Jun 23 23:41:33 2019  commencing 2-way merge
  288. Sun Jun 23 23:42:32 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  289. Sun Jun 23 23:42:32 2019  commencing full merge
  290. Mon Jun 24 00:03:58 2019  memory use: 4181.4 MB
  291. Mon Jun 24 00:04:04 2019  found 16209324 cycles, need 16092694
  292. Mon Jun 24 00:04:15 2019  weight of 16092694 cycles is about 1641978581 (102.03/cycle)
  293. Mon Jun 24 00:04:15 2019  distribution of cycle lengths:
  294. Mon Jun 24 00:04:15 2019  1 relations: 1006044
  295. Mon Jun 24 00:04:15 2019  2 relations: 1299036
  296. Mon Jun 24 00:04:15 2019  3 relations: 1439082
  297. Mon Jun 24 00:04:15 2019  4 relations: 1421687
  298. Mon Jun 24 00:04:15 2019  5 relations: 1378109
  299. Mon Jun 24 00:04:15 2019  6 relations: 1293949
  300. Mon Jun 24 00:04:15 2019  7 relations: 1209941
  301. Mon Jun 24 00:04:15 2019  8 relations: 1111548
  302. Mon Jun 24 00:04:15 2019  9 relations: 1000059
  303. Mon Jun 24 00:04:15 2019  10+ relations: 4933239
  304. Mon Jun 24 00:04:15 2019  heaviest cycle: 27 relations
  305. Mon Jun 24 00:04:24 2019  commencing cycle optimization
  306. Mon Jun 24 00:05:19 2019  start with 121407405 relations
  307. Mon Jun 24 00:12:45 2019  pruned 4663636 relations
  308. Mon Jun 24 00:12:47 2019  memory use: 3408.5 MB
  309. Mon Jun 24 00:12:47 2019  distribution of cycle lengths:
  310. Mon Jun 24 00:12:47 2019  1 relations: 1006044
  311. Mon Jun 24 00:12:47 2019  2 relations: 1332409
  312. Mon Jun 24 00:12:47 2019  3 relations: 1502999
  313. Mon Jun 24 00:12:47 2019  4 relations: 1476558
  314. Mon Jun 24 00:12:47 2019  5 relations: 1438037
  315. Mon Jun 24 00:12:47 2019  6 relations: 1341722
  316. Mon Jun 24 00:12:47 2019  7 relations: 1254624
  317. Mon Jun 24 00:12:47 2019  8 relations: 1142049
  318. Mon Jun 24 00:12:47 2019  9 relations: 1021972
  319. Mon Jun 24 00:12:47 2019  10+ relations: 4576280
  320. Mon Jun 24 00:12:47 2019  heaviest cycle: 27 relations
  321. Mon Jun 24 00:13:37 2019  RelProcTime: 8973
  322. Mon Jun 24 00:13:37 2019  elapsed time 02:29:35
  323. Mon Jun 24 00:13:38 2019  
  324. Mon Jun 24 00:13:38 2019  
  325. Mon Jun 24 00:13:38 2019  Msieve v. 1.53 (SVN 993)
  326. Mon Jun 24 00:13:38 2019  random seeds: ce0b4002 46af2bfb
  327. Mon Jun 24 00:13:38 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  328. Mon Jun 24 00:13:40 2019  no P-1/P+1/ECM available, skipping
  329. Mon Jun 24 00:13:40 2019  commencing number field sieve (213-digit input)
  330. Mon Jun 24 00:13:40 2019  R0: 1000000000000000000000000000000000000000000
  331. Mon Jun 24 00:13:40 2019  R1: -11972515182562019788602740026717047105681
  332. Mon Jun 24 00:13:40 2019  A0: -10
  333. Mon Jun 24 00:13:40 2019  A1: 0
  334. Mon Jun 24 00:13:40 2019  A2: 0
  335. Mon Jun 24 00:13:40 2019  A3: 0
  336. Mon Jun 24 00:13:40 2019  A4: 0
  337. Mon Jun 24 00:13:40 2019  A5: 0
  338. Mon Jun 24 00:13:40 2019  A6: 9
  339. Mon Jun 24 00:13:40 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  340. Mon Jun 24 00:13:40 2019  
  341. Mon Jun 24 00:13:40 2019  commencing relation filtering
  342. Mon Jun 24 00:13:40 2019  setting target matrix density to 118.0
  343. Mon Jun 24 00:13:40 2019  estimated available RAM is 95375.2 MB
  344. Mon Jun 24 00:13:40 2019  commencing duplicate removal, pass 1
  345.   3 errors
  346. Mon Jun 24 00:54:59 2019  skipped 2 relations with composite factors
  347. Mon Jun 24 00:54:59 2019  found 7330951 hash collisions in 182399414 relations
  348. Mon Jun 24 00:55:20 2019  commencing duplicate removal, pass 2
  349. Mon Jun 24 00:56:26 2019  found 0 duplicates and 182399414 unique relations
  350. Mon Jun 24 00:56:26 2019  memory use: 522.4 MB
  351. Mon Jun 24 00:56:26 2019  reading ideals above 720000
  352. Mon Jun 24 00:56:26 2019  commencing singleton removal, initial pass
  353. Mon Jun 24 01:41:06 2019  memory use: 5512.0 MB
  354. Mon Jun 24 01:41:07 2019  reading all ideals from disk
  355. Mon Jun 24 01:41:12 2019  memory use: 7330.5 MB
  356. Mon Jun 24 01:41:49 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  357. Mon Jun 24 01:42:29 2019  commencing in-memory singleton removal
  358. Mon Jun 24 01:42:58 2019  begin with 182399414 relations and 176599099 unique ideals
  359. Mon Jun 24 01:48:28 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  360. Mon Jun 24 01:48:28 2019  max relations containing the same ideal: 155
  361. Mon Jun 24 01:50:09 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  362. Mon Jun 24 01:50:15 2019  commencing in-memory singleton removal
  363. Mon Jun 24 01:50:30 2019  begin with 100081580 relations and 98922898 unique ideals
  364. Mon Jun 24 01:53:12 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  365. Mon Jun 24 01:53:12 2019  max relations containing the same ideal: 140
  366. Mon Jun 24 01:54:40 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  367. Mon Jun 24 01:54:46 2019  commencing in-memory singleton removal
  368. Mon Jun 24 01:54:58 2019  begin with 89592921 relations and 87487267 unique ideals
  369. Mon Jun 24 01:57:06 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  370. Mon Jun 24 01:57:06 2019  max relations containing the same ideal: 133
  371. Mon Jun 24 01:58:25 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  372. Mon Jun 24 01:58:31 2019  commencing in-memory singleton removal
  373. Mon Jun 24 01:58:43 2019  begin with 80388613 relations and 79367856 unique ideals
  374. Mon Jun 24 02:00:19 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  375. Mon Jun 24 02:00:19 2019  max relations containing the same ideal: 125
  376. Mon Jun 24 02:01:30 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  377. Mon Jun 24 02:01:35 2019  commencing in-memory singleton removal
  378. Mon Jun 24 02:01:45 2019  begin with 71724566 relations and 72225849 unique ideals
  379. Mon Jun 24 02:03:24 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  380. Mon Jun 24 02:03:24 2019  max relations containing the same ideal: 118
  381. Mon Jun 24 02:04:28 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  382. Mon Jun 24 02:04:33 2019  commencing in-memory singleton removal
  383. Mon Jun 24 02:04:41 2019  begin with 63361081 relations and 65567623 unique ideals
  384. Mon Jun 24 02:05:56 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  385. Mon Jun 24 02:05:56 2019  max relations containing the same ideal: 106
  386. Mon Jun 24 02:06:53 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  387. Mon Jun 24 02:06:58 2019  commencing in-memory singleton removal
  388. Mon Jun 24 02:07:06 2019  begin with 55151491 relations and 59171450 unique ideals
  389. Mon Jun 24 02:08:19 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  390. Mon Jun 24 02:08:19 2019  max relations containing the same ideal: 97
  391. Mon Jun 24 02:08:59 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  392. Mon Jun 24 02:09:02 2019  commencing in-memory singleton removal
  393. Mon Jun 24 02:09:09 2019  begin with 52004380 relations and 52889556 unique ideals
  394. Mon Jun 24 02:10:01 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  395. Mon Jun 24 02:10:01 2019  max relations containing the same ideal: 96
  396. Mon Jun 24 02:11:01 2019  relations with 0 large ideals: 34547
  397. Mon Jun 24 02:11:01 2019  relations with 1 large ideals: 17188
  398. Mon Jun 24 02:11:01 2019  relations with 2 large ideals: 210797
  399. Mon Jun 24 02:11:01 2019  relations with 3 large ideals: 1355980
  400. Mon Jun 24 02:11:01 2019  relations with 4 large ideals: 4794338
  401. Mon Jun 24 02:11:01 2019  relations with 5 large ideals: 10260420
  402. Mon Jun 24 02:11:01 2019  relations with 6 large ideals: 13789622
  403. Mon Jun 24 02:11:01 2019  relations with 7+ large ideals: 21464929
  404. Mon Jun 24 02:11:01 2019  commencing 2-way merge
  405. Mon Jun 24 02:12:02 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  406. Mon Jun 24 02:12:02 2019  commencing full merge
  407. Mon Jun 24 02:36:26 2019  memory use: 4248.9 MB
  408. Mon Jun 24 02:36:32 2019  found 15403490 cycles, need 15360694
  409. Mon Jun 24 02:36:42 2019  weight of 15360694 cycles is about 1812594758 (118.00/cycle)
  410. Mon Jun 24 02:36:42 2019  distribution of cycle lengths:
  411. Mon Jun 24 02:36:42 2019  1 relations: 740090
  412. Mon Jun 24 02:36:42 2019  2 relations: 1011822
  413. Mon Jun 24 02:36:42 2019  3 relations: 1171223
  414. Mon Jun 24 02:36:42 2019  4 relations: 1177439
  415. Mon Jun 24 02:36:42 2019  5 relations: 1175919
  416. Mon Jun 24 02:36:42 2019  6 relations: 1125571
  417. Mon Jun 24 02:36:42 2019  7 relations: 1075033
  418. Mon Jun 24 02:36:42 2019  8 relations: 1008037
  419. Mon Jun 24 02:36:42 2019  9 relations: 939468
  420. Mon Jun 24 02:36:42 2019  10+ relations: 5936092
  421. Mon Jun 24 02:36:42 2019  heaviest cycle: 28 relations
  422. Mon Jun 24 02:36:51 2019  commencing cycle optimization
  423. Mon Jun 24 02:37:49 2019  start with 133834968 relations
  424. Mon Jun 24 02:47:23 2019  pruned 5909064 relations
  425. Mon Jun 24 02:47:23 2019  memory use: 3533.6 MB
  426. Mon Jun 24 02:47:24 2019  distribution of cycle lengths:
  427. Mon Jun 24 02:47:24 2019  1 relations: 740090
  428. Mon Jun 24 02:47:24 2019  2 relations: 1039444
  429. Mon Jun 24 02:47:24 2019  3 relations: 1224705
  430. Mon Jun 24 02:47:24 2019  4 relations: 1228167
  431. Mon Jun 24 02:47:24 2019  5 relations: 1232925
  432. Mon Jun 24 02:47:24 2019  6 relations: 1175649
  433. Mon Jun 24 02:47:24 2019  7 relations: 1122486
  434. Mon Jun 24 02:47:24 2019  8 relations: 1048489
  435. Mon Jun 24 02:47:24 2019  9 relations: 972735
  436. Mon Jun 24 02:47:24 2019  10+ relations: 5576004
  437. Mon Jun 24 02:47:24 2019  heaviest cycle: 28 relations
  438. Mon Jun 24 02:48:13 2019  RelProcTime: 9273
  439. Mon Jun 24 02:48:13 2019  elapsed time 02:34:35
  440. Mon Jun 24 02:48:14 2019  
  441. Mon Jun 24 02:48:14 2019  
  442. Mon Jun 24 02:48:14 2019  Msieve v. 1.53 (SVN 993)
  443. Mon Jun 24 02:48:14 2019  random seeds: 2379a8a6 e4d8ff5d
  444. Mon Jun 24 02:48:14 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  445. Mon Jun 24 02:48:16 2019  no P-1/P+1/ECM available, skipping
  446. Mon Jun 24 02:48:16 2019  commencing number field sieve (213-digit input)
  447. Mon Jun 24 02:48:16 2019  R0: 1000000000000000000000000000000000000000000
  448. Mon Jun 24 02:48:16 2019  R1: -11972515182562019788602740026717047105681
  449. Mon Jun 24 02:48:16 2019  A0: -10
  450. Mon Jun 24 02:48:16 2019  A1: 0
  451. Mon Jun 24 02:48:16 2019  A2: 0
  452. Mon Jun 24 02:48:16 2019  A3: 0
  453. Mon Jun 24 02:48:16 2019  A4: 0
  454. Mon Jun 24 02:48:16 2019  A5: 0
  455. Mon Jun 24 02:48:16 2019  A6: 9
  456. Mon Jun 24 02:48:16 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  457. Mon Jun 24 02:48:16 2019  
  458. Mon Jun 24 02:48:16 2019  commencing relation filtering
  459. Mon Jun 24 02:48:16 2019  setting target matrix density to 126.0
  460. Mon Jun 24 02:48:16 2019  estimated available RAM is 95375.2 MB
  461. Mon Jun 24 02:48:16 2019  commencing duplicate removal, pass 1
  462.   3 errors
  463. Mon Jun 24 03:29:24 2019  skipped 2 relations with composite factors
  464. Mon Jun 24 03:29:24 2019  found 7330951 hash collisions in 182399414 relations
  465. Mon Jun 24 03:29:45 2019  commencing duplicate removal, pass 2
  466. Mon Jun 24 03:31:03 2019  found 0 duplicates and 182399414 unique relations
  467. Mon Jun 24 03:31:03 2019  memory use: 522.4 MB
  468. Mon Jun 24 03:31:03 2019  reading ideals above 720000
  469. Mon Jun 24 03:31:03 2019  commencing singleton removal, initial pass
  470. Mon Jun 24 04:15:40 2019  memory use: 5512.0 MB
  471. Mon Jun 24 04:15:40 2019  reading all ideals from disk
  472. Mon Jun 24 04:15:46 2019  memory use: 7330.5 MB
  473. Mon Jun 24 04:16:22 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  474. Mon Jun 24 04:17:04 2019  commencing in-memory singleton removal
  475. Mon Jun 24 04:17:33 2019  begin with 182399414 relations and 176599099 unique ideals
  476. Mon Jun 24 04:23:20 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  477. Mon Jun 24 04:23:20 2019  max relations containing the same ideal: 155
  478. Mon Jun 24 04:25:00 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  479. Mon Jun 24 04:25:07 2019  commencing in-memory singleton removal
  480. Mon Jun 24 04:25:22 2019  begin with 100081580 relations and 98922898 unique ideals
  481. Mon Jun 24 04:27:50 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  482. Mon Jun 24 04:27:50 2019  max relations containing the same ideal: 140
  483. Mon Jun 24 04:29:16 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  484. Mon Jun 24 04:29:22 2019  commencing in-memory singleton removal
  485. Mon Jun 24 04:29:35 2019  begin with 89592921 relations and 87487267 unique ideals
  486. Mon Jun 24 04:31:43 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  487. Mon Jun 24 04:31:43 2019  max relations containing the same ideal: 133
  488. Mon Jun 24 04:33:01 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  489. Mon Jun 24 04:33:07 2019  commencing in-memory singleton removal
  490. Mon Jun 24 04:33:18 2019  begin with 80388613 relations and 79367856 unique ideals
  491. Mon Jun 24 04:35:10 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  492. Mon Jun 24 04:35:10 2019  max relations containing the same ideal: 125
  493. Mon Jun 24 04:36:21 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  494. Mon Jun 24 04:36:26 2019  commencing in-memory singleton removal
  495. Mon Jun 24 04:36:35 2019  begin with 71724566 relations and 72225849 unique ideals
  496. Mon Jun 24 04:38:14 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  497. Mon Jun 24 04:38:14 2019  max relations containing the same ideal: 118
  498. Mon Jun 24 04:39:09 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  499. Mon Jun 24 04:39:12 2019  commencing in-memory singleton removal
  500. Mon Jun 24 04:39:21 2019  begin with 63361081 relations and 65567623 unique ideals
  501. Mon Jun 24 04:40:37 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  502. Mon Jun 24 04:40:37 2019  max relations containing the same ideal: 106
  503. Mon Jun 24 04:41:33 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  504. Mon Jun 24 04:41:38 2019  commencing in-memory singleton removal
  505. Mon Jun 24 04:41:45 2019  begin with 55151491 relations and 59171450 unique ideals
  506. Mon Jun 24 04:42:57 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  507. Mon Jun 24 04:42:57 2019  max relations containing the same ideal: 97
  508. Mon Jun 24 04:43:48 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  509. Mon Jun 24 04:43:50 2019  commencing in-memory singleton removal
  510. Mon Jun 24 04:43:57 2019  begin with 52004380 relations and 52889556 unique ideals
  511. Mon Jun 24 04:44:49 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  512. Mon Jun 24 04:44:49 2019  max relations containing the same ideal: 96
  513. Mon Jun 24 04:45:49 2019  relations with 0 large ideals: 34547
  514. Mon Jun 24 04:45:49 2019  relations with 1 large ideals: 17188
  515. Mon Jun 24 04:45:49 2019  relations with 2 large ideals: 210797
  516. Mon Jun 24 04:45:49 2019  relations with 3 large ideals: 1355980
  517. Mon Jun 24 04:45:49 2019  relations with 4 large ideals: 4794338
  518. Mon Jun 24 04:45:49 2019  relations with 5 large ideals: 10260420
  519. Mon Jun 24 04:45:49 2019  relations with 6 large ideals: 13789622
  520. Mon Jun 24 04:45:49 2019  relations with 7+ large ideals: 21464929
  521. Mon Jun 24 04:45:49 2019  commencing 2-way merge
  522. Mon Jun 24 04:46:49 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  523. Mon Jun 24 04:46:49 2019  commencing full merge
  524. Mon Jun 24 05:33:57 2019  memory use: 1547.7 MB
  525. Mon Jun 24 05:33:58 2019  found 128150 cycles, need 7386614
  526. Mon Jun 24 05:33:58 2019  too few cycles, matrix probably cannot build
  527. Mon Jun 24 05:33:58 2019  
  528. Mon Jun 24 05:33:58 2019  
  529. Mon Jun 24 05:33:58 2019  Msieve v. 1.53 (SVN 993)
  530. Mon Jun 24 05:33:58 2019  random seeds: 37a62cf0 b9ab4f05
  531. Mon Jun 24 05:33:58 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  532. Mon Jun 24 05:34:00 2019  no P-1/P+1/ECM available, skipping
  533. Mon Jun 24 05:34:00 2019  commencing number field sieve (213-digit input)
  534. Mon Jun 24 05:34:00 2019  R0: 1000000000000000000000000000000000000000000
  535. Mon Jun 24 05:34:00 2019  R1: -11972515182562019788602740026717047105681
  536. Mon Jun 24 05:34:00 2019  A0: -10
  537. Mon Jun 24 05:34:00 2019  A1: 0
  538. Mon Jun 24 05:34:00 2019  A2: 0
  539. Mon Jun 24 05:34:00 2019  A3: 0
  540. Mon Jun 24 05:34:00 2019  A4: 0
  541. Mon Jun 24 05:34:00 2019  A5: 0
  542. Mon Jun 24 05:34:00 2019  A6: 9
  543. Mon Jun 24 05:34:00 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  544. Mon Jun 24 05:34:00 2019  
  545. Mon Jun 24 05:34:00 2019  commencing relation filtering
  546. Mon Jun 24 05:34:00 2019  setting target matrix density to 122.0
  547. Mon Jun 24 05:34:00 2019  estimated available RAM is 95375.2 MB
  548. Mon Jun 24 05:34:00 2019  commencing duplicate removal, pass 1
  549.   3 errors
  550. Mon Jun 24 06:15:09 2019  skipped 2 relations with composite factors
  551. Mon Jun 24 06:15:09 2019  found 7330951 hash collisions in 182399414 relations
  552. Mon Jun 24 06:15:30 2019  commencing duplicate removal, pass 2
  553. Mon Jun 24 06:16:49 2019  found 0 duplicates and 182399414 unique relations
  554. Mon Jun 24 06:16:49 2019  memory use: 522.4 MB
  555. Mon Jun 24 06:16:49 2019  reading ideals above 720000
  556. Mon Jun 24 06:16:49 2019  commencing singleton removal, initial pass
  557. Mon Jun 24 07:01:33 2019  memory use: 5512.0 MB
  558. Mon Jun 24 07:01:33 2019  reading all ideals from disk
  559. Mon Jun 24 07:01:39 2019  memory use: 7330.5 MB
  560. Mon Jun 24 07:02:16 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  561. Mon Jun 24 07:02:58 2019  commencing in-memory singleton removal
  562. Mon Jun 24 07:03:25 2019  begin with 182399414 relations and 176599099 unique ideals
  563. Mon Jun 24 07:09:11 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  564. Mon Jun 24 07:09:11 2019  max relations containing the same ideal: 155
  565. Mon Jun 24 07:10:51 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  566. Mon Jun 24 07:10:57 2019  commencing in-memory singleton removal
  567. Mon Jun 24 07:11:12 2019  begin with 100081580 relations and 98922898 unique ideals
  568. Mon Jun 24 07:13:27 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  569. Mon Jun 24 07:13:27 2019  max relations containing the same ideal: 140
  570. Mon Jun 24 07:14:55 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  571. Mon Jun 24 07:15:01 2019  commencing in-memory singleton removal
  572. Mon Jun 24 07:15:14 2019  begin with 89592921 relations and 87487267 unique ideals
  573. Mon Jun 24 07:17:20 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  574. Mon Jun 24 07:17:20 2019  max relations containing the same ideal: 133
  575. Mon Jun 24 07:18:40 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  576. Mon Jun 24 07:18:46 2019  commencing in-memory singleton removal
  577. Mon Jun 24 07:18:57 2019  begin with 80388613 relations and 79367856 unique ideals
  578. Mon Jun 24 07:20:49 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  579. Mon Jun 24 07:20:49 2019  max relations containing the same ideal: 125
  580. Mon Jun 24 07:22:00 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  581. Mon Jun 24 07:22:05 2019  commencing in-memory singleton removal
  582. Mon Jun 24 07:22:15 2019  begin with 71724566 relations and 72225849 unique ideals
  583. Mon Jun 24 07:23:54 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  584. Mon Jun 24 07:23:54 2019  max relations containing the same ideal: 118
  585. Mon Jun 24 07:24:57 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  586. Mon Jun 24 07:25:00 2019  commencing in-memory singleton removal
  587. Mon Jun 24 07:25:05 2019  begin with 63361081 relations and 65567623 unique ideals
  588. Mon Jun 24 07:26:14 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  589. Mon Jun 24 07:26:14 2019  max relations containing the same ideal: 106
  590. Mon Jun 24 07:27:10 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  591. Mon Jun 24 07:27:14 2019  commencing in-memory singleton removal
  592. Mon Jun 24 07:27:22 2019  begin with 55151491 relations and 59171450 unique ideals
  593. Mon Jun 24 07:28:34 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  594. Mon Jun 24 07:28:34 2019  max relations containing the same ideal: 97
  595. Mon Jun 24 07:29:24 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  596. Mon Jun 24 07:29:27 2019  commencing in-memory singleton removal
  597. Mon Jun 24 07:29:34 2019  begin with 52004380 relations and 52889556 unique ideals
  598. Mon Jun 24 07:30:25 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  599. Mon Jun 24 07:30:25 2019  max relations containing the same ideal: 96
  600. Mon Jun 24 07:31:25 2019  relations with 0 large ideals: 34547
  601. Mon Jun 24 07:31:25 2019  relations with 1 large ideals: 17188
  602. Mon Jun 24 07:31:25 2019  relations with 2 large ideals: 210797
  603. Mon Jun 24 07:31:25 2019  relations with 3 large ideals: 1355980
  604. Mon Jun 24 07:31:25 2019  relations with 4 large ideals: 4794338
  605. Mon Jun 24 07:31:25 2019  relations with 5 large ideals: 10260420
  606. Mon Jun 24 07:31:25 2019  relations with 6 large ideals: 13789622
  607. Mon Jun 24 07:31:25 2019  relations with 7+ large ideals: 21464929
  608. Mon Jun 24 07:31:25 2019  commencing 2-way merge
  609. Mon Jun 24 07:32:25 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  610. Mon Jun 24 07:32:25 2019  commencing full merge
  611. Mon Jun 24 07:57:32 2019  memory use: 4259.2 MB
  612. Mon Jun 24 07:57:38 2019  found 15213539 cycles, need 15200694
  613. Mon Jun 24 07:57:48 2019  weight of 15200694 cycles is about 1855195153 (122.05/cycle)
  614. Mon Jun 24 07:57:48 2019  distribution of cycle lengths:
  615. Mon Jun 24 07:57:48 2019  1 relations: 692827
  616. Mon Jun 24 07:57:48 2019  2 relations: 959749
  617. Mon Jun 24 07:57:48 2019  3 relations: 1114443
  618. Mon Jun 24 07:57:48 2019  4 relations: 1124712
  619. Mon Jun 24 07:57:48 2019  5 relations: 1129895
  620. Mon Jun 24 07:57:48 2019  6 relations: 1083995
  621. Mon Jun 24 07:57:48 2019  7 relations: 1043218
  622. Mon Jun 24 07:57:48 2019  8 relations: 981144
  623. Mon Jun 24 07:57:48 2019  9 relations: 920281
  624. Mon Jun 24 07:57:48 2019  10+ relations: 6150430
  625. Mon Jun 24 07:57:48 2019  heaviest cycle: 28 relations
  626. Mon Jun 24 07:57:57 2019  commencing cycle optimization
  627. Mon Jun 24 07:58:54 2019  start with 136878160 relations
  628. Mon Jun 24 08:09:03 2019  pruned 6219489 relations
  629. Mon Jun 24 08:09:03 2019  memory use: 3563.7 MB
  630. Mon Jun 24 08:09:04 2019  distribution of cycle lengths:
  631. Mon Jun 24 08:09:04 2019  1 relations: 692827
  632. Mon Jun 24 08:09:04 2019  2 relations: 985976
  633. Mon Jun 24 08:09:04 2019  3 relations: 1165452
  634. Mon Jun 24 08:09:04 2019  4 relations: 1173896
  635. Mon Jun 24 08:09:04 2019  5 relations: 1185849
  636. Mon Jun 24 08:09:04 2019  6 relations: 1133903
  637. Mon Jun 24 08:09:04 2019  7 relations: 1091002
  638. Mon Jun 24 08:09:04 2019  8 relations: 1022626
  639. Mon Jun 24 08:09:04 2019  9 relations: 955736
  640. Mon Jun 24 08:09:04 2019  10+ relations: 5793427
  641. Mon Jun 24 08:09:04 2019  heaviest cycle: 28 relations
  642. Mon Jun 24 08:09:53 2019  RelProcTime: 9353
  643. Mon Jun 24 08:09:53 2019  elapsed time 02:35:55
  644. Mon Jun 24 08:09:54 2019  
  645. Mon Jun 24 08:09:54 2019  
  646. Mon Jun 24 08:09:54 2019  Msieve v. 1.53 (SVN 993)
  647. Mon Jun 24 08:09:54 2019  random seeds: 65836dae 58289499
  648. Mon Jun 24 08:09:54 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  649. Mon Jun 24 08:09:56 2019  no P-1/P+1/ECM available, skipping
  650. Mon Jun 24 08:09:56 2019  commencing number field sieve (213-digit input)
  651. Mon Jun 24 08:09:56 2019  R0: 1000000000000000000000000000000000000000000
  652. Mon Jun 24 08:09:56 2019  R1: -11972515182562019788602740026717047105681
  653. Mon Jun 24 08:09:56 2019  A0: -10
  654. Mon Jun 24 08:09:56 2019  A1: 0
  655. Mon Jun 24 08:09:56 2019  A2: 0
  656. Mon Jun 24 08:09:56 2019  A3: 0
  657. Mon Jun 24 08:09:56 2019  A4: 0
  658. Mon Jun 24 08:09:56 2019  A5: 0
  659. Mon Jun 24 08:09:56 2019  A6: 9
  660. Mon Jun 24 08:09:56 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  661. Mon Jun 24 08:09:56 2019  
  662. Mon Jun 24 08:09:56 2019  commencing relation filtering
  663. Mon Jun 24 08:09:56 2019  setting target matrix density to 124.0
  664. Mon Jun 24 08:09:56 2019  estimated available RAM is 95375.2 MB
  665. Mon Jun 24 08:09:56 2019  commencing duplicate removal, pass 1
  666.   3 errors
  667. Mon Jun 24 08:51:18 2019  skipped 2 relations with composite factors
  668. Mon Jun 24 08:51:18 2019  found 7330951 hash collisions in 182399414 relations
  669. Mon Jun 24 08:51:38 2019  commencing duplicate removal, pass 2
  670. Mon Jun 24 08:52:57 2019  found 0 duplicates and 182399414 unique relations
  671. Mon Jun 24 08:52:57 2019  memory use: 522.4 MB
  672. Mon Jun 24 08:52:57 2019  reading ideals above 720000
  673. Mon Jun 24 08:52:57 2019  commencing singleton removal, initial pass
  674. Mon Jun 24 09:37:25 2019  memory use: 5512.0 MB
  675. Mon Jun 24 09:37:25 2019  reading all ideals from disk
  676. Mon Jun 24 09:37:31 2019  memory use: 7330.5 MB
  677. Mon Jun 24 09:38:18 2019  keeping 176599099 ideals with weight <= 200, target excess is 920432
  678. Mon Jun 24 09:39:13 2019  commencing in-memory singleton removal
  679. Mon Jun 24 09:39:42 2019  begin with 182399414 relations and 176599099 unique ideals
  680. Mon Jun 24 09:45:10 2019  reduce to 112372494 relations and 98922898 ideals in 15 passes
  681. Mon Jun 24 09:45:10 2019  max relations containing the same ideal: 155
  682. Mon Jun 24 09:46:50 2019  removing 12290914 relations and 10290914 ideals in 2000000 cliques
  683. Mon Jun 24 09:46:57 2019  commencing in-memory singleton removal
  684. Mon Jun 24 09:47:12 2019  begin with 100081580 relations and 98922898 unique ideals
  685. Mon Jun 24 09:49:56 2019  reduce to 98963734 relations and 87487267 ideals in 9 passes
  686. Mon Jun 24 09:49:56 2019  max relations containing the same ideal: 140
  687. Mon Jun 24 09:51:24 2019  removing 9370813 relations and 7370813 ideals in 2000000 cliques
  688. Mon Jun 24 09:51:30 2019  commencing in-memory singleton removal
  689. Mon Jun 24 09:51:42 2019  begin with 89592921 relations and 87487267 unique ideals
  690. Mon Jun 24 09:53:49 2019  reduce to 88859963 relations and 79367856 ideals in 8 passes
  691. Mon Jun 24 09:53:49 2019  max relations containing the same ideal: 133
  692. Mon Jun 24 09:55:09 2019  removing 8471350 relations and 6471350 ideals in 2000000 cliques
  693. Mon Jun 24 09:55:15 2019  commencing in-memory singleton removal
  694. Mon Jun 24 09:55:26 2019  begin with 80388613 relations and 79367856 unique ideals
  695. Mon Jun 24 09:57:16 2019  reduce to 79732238 relations and 72225849 ideals in 8 passes
  696. Mon Jun 24 09:57:16 2019  max relations containing the same ideal: 125
  697. Mon Jun 24 09:58:18 2019  removing 8007672 relations and 6007672 ideals in 2000000 cliques
  698. Mon Jun 24 09:58:23 2019  commencing in-memory singleton removal
  699. Mon Jun 24 09:58:33 2019  begin with 71724566 relations and 72225849 unique ideals
  700. Mon Jun 24 10:00:11 2019  reduce to 71088621 relations and 65567623 ideals in 8 passes
  701. Mon Jun 24 10:00:11 2019  max relations containing the same ideal: 118
  702. Mon Jun 24 10:01:15 2019  removing 7727540 relations and 5727540 ideals in 2000000 cliques
  703. Mon Jun 24 10:01:20 2019  commencing in-memory singleton removal
  704. Mon Jun 24 10:01:28 2019  begin with 63361081 relations and 65567623 unique ideals
  705. Mon Jun 24 10:02:43 2019  reduce to 62708903 relations and 59171450 ideals in 7 passes
  706. Mon Jun 24 10:02:43 2019  max relations containing the same ideal: 106
  707. Mon Jun 24 10:03:40 2019  removing 7557412 relations and 5557412 ideals in 2000000 cliques
  708. Mon Jun 24 10:03:44 2019  commencing in-memory singleton removal
  709. Mon Jun 24 10:03:52 2019  begin with 55151491 relations and 59171450 unique ideals
  710. Mon Jun 24 10:05:05 2019  reduce to 54447116 relations and 52889556 ideals in 8 passes
  711. Mon Jun 24 10:05:05 2019  max relations containing the same ideal: 97
  712. Mon Jun 24 10:05:54 2019  removing 2442736 relations and 1952878 ideals in 489858 cliques
  713. Mon Jun 24 10:05:57 2019  commencing in-memory singleton removal
  714. Mon Jun 24 10:06:04 2019  begin with 52004380 relations and 52889556 unique ideals
  715. Mon Jun 24 10:06:56 2019  reduce to 51927821 relations and 50859501 ideals in 6 passes
  716. Mon Jun 24 10:06:56 2019  max relations containing the same ideal: 96
  717. Mon Jun 24 10:07:55 2019  relations with 0 large ideals: 34547
  718. Mon Jun 24 10:07:55 2019  relations with 1 large ideals: 17188
  719. Mon Jun 24 10:07:55 2019  relations with 2 large ideals: 210797
  720. Mon Jun 24 10:07:55 2019  relations with 3 large ideals: 1355980
  721. Mon Jun 24 10:07:55 2019  relations with 4 large ideals: 4794338
  722. Mon Jun 24 10:07:55 2019  relations with 5 large ideals: 10260420
  723. Mon Jun 24 10:07:55 2019  relations with 6 large ideals: 13789622
  724. Mon Jun 24 10:07:55 2019  relations with 7+ large ideals: 21464929
  725. Mon Jun 24 10:07:55 2019  commencing 2-way merge
  726. Mon Jun 24 10:08:45 2019  reduce to 34460814 relation sets and 33392494 unique ideals
  727. Mon Jun 24 10:08:45 2019  commencing full merge
  728. Mon Jun 24 10:56:02 2019  memory use: 1547.7 MB
  729. Mon Jun 24 10:56:02 2019  found 128150 cycles, need 7386614
  730. Mon Jun 24 10:56:02 2019  too few cycles, matrix probably cannot build
  731. Mon Jun 24 14:02:13 2019  
  732. Mon Jun 24 14:02:13 2019  
  733. Mon Jun 24 14:02:13 2019  Msieve v. 1.54 (SVN 1022M)
  734. Mon Jun 24 14:02:13 2019  random seeds: eef66514 a15c8b9d
  735. Mon Jun 24 14:02:13 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  736. Mon Jun 24 14:02:14 2019  no P-1/P+1/ECM available, skipping
  737. Mon Jun 24 14:02:14 2019  commencing number field sieve (213-digit input)
  738. Mon Jun 24 14:02:14 2019  R0: 1000000000000000000000000000000000000000000
  739. Mon Jun 24 14:02:14 2019  R1: -11972515182562019788602740026717047105681
  740. Mon Jun 24 14:02:14 2019  A0: -10
  741. Mon Jun 24 14:02:14 2019  A1: 0
  742. Mon Jun 24 14:02:14 2019  A2: 0
  743. Mon Jun 24 14:02:14 2019  A3: 0
  744. Mon Jun 24 14:02:14 2019  A4: 0
  745. Mon Jun 24 14:02:14 2019  A5: 0
  746. Mon Jun 24 14:02:14 2019  A6: 9
  747. Mon Jun 24 14:02:14 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  748. Mon Jun 24 14:02:14 2019  
  749. Mon Jun 24 14:02:14 2019  commencing linear algebra
  750. Mon Jun 24 14:02:15 2019  read 15200694 cycles
  751. Mon Jun 24 14:02:41 2019  cycles contain 51331218 unique relations
  752. Mon Jun 24 14:05:57 2019  read 51331218 relations
  753. Mon Jun 24 14:07:21 2019  using 20 quadratic characters above 4294917295
  754. Mon Jun 24 14:10:19 2019  building initial matrix
  755. Mon Jun 24 14:18:03 2019  memory use: 6482.8 MB
  756. Mon Jun 24 14:18:08 2019  read 15200694 cycles
  757. Mon Jun 24 14:18:10 2019  matrix is 15200517 x 15200694 (7237.2 MB) with weight 2053586344 (135.10/col)
  758. Mon Jun 24 14:18:10 2019  sparse part has weight 1729970035 (113.81/col)
  759. Mon Jun 24 14:21:00 2019  filtering completed in 2 passes
  760. Mon Jun 24 14:21:02 2019  matrix is 15200359 x 15200535 (7237.1 MB) with weight 2053581555 (135.10/col)
  761. Mon Jun 24 14:21:02 2019  sparse part has weight 1729968542 (113.81/col)
  762. Mon Jun 24 14:23:03 2019  matrix starts at (0, 0)
  763. Mon Jun 24 14:23:05 2019  matrix is 15200359 x 15200535 (7237.1 MB) with weight 2053581555 (135.10/col)
  764. Mon Jun 24 14:23:05 2019  sparse part has weight 1729968542 (113.81/col)
  765. Mon Jun 24 14:23:05 2019  saving the first 112 matrix rows for later
  766. Mon Jun 24 14:23:07 2019  matrix includes 128 packed rows
  767. Mon Jun 24 14:23:10 2019  matrix is 15200247 x 15200535 (6717.9 MB) with weight 1669499097 (109.83/col)
  768. Mon Jun 24 14:23:10 2019  sparse part has weight 1578638917 (103.85/col)
  769. Mon Jun 24 14:23:10 2019  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
  770. Mon Jun 24 14:23:41 2019  commencing Lanczos iteration (4 threads)
  771. Mon Jun 24 14:23:41 2019  memory use: 7404.6 MB
  772. Mon Jun 24 14:24:53 2019  linear algebra at 0.0%, ETA 179h35m
  773. Mon Jun 24 14:25:15 2019  checkpointing every 90000 dimensions
  774. Mon Jul  1 09:27:07 2019  lanczos halted after 119469 iterations (dim = 15200240)
  775. Mon Jul  1 09:27:32 2019  recovered 32 nontrivial dependencies
  776. Mon Jul  1 09:27:32 2019  BLanczosTime: 588318
  777. Mon Jul  1 09:27:32 2019  elapsed time 163:25:19
  778. Mon Jul  1 09:27:32 2019  
  779. Mon Jul  1 09:27:32 2019  
  780. Mon Jul  1 09:27:32 2019  Msieve v. 1.54 (SVN 1022M)
  781. Mon Jul  1 09:27:32 2019  random seeds: e9421336 12fe8482
  782. Mon Jul  1 09:27:32 2019  factoring 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609 (213 digits)
  783. Mon Jul  1 09:27:33 2019  no P-1/P+1/ECM available, skipping
  784. Mon Jul  1 09:27:33 2019  commencing number field sieve (213-digit input)
  785. Mon Jul  1 09:27:33 2019  R0: 1000000000000000000000000000000000000000000
  786. Mon Jul  1 09:27:33 2019  R1: -11972515182562019788602740026717047105681
  787. Mon Jul  1 09:27:33 2019  A0: -10
  788. Mon Jul  1 09:27:33 2019  A1: 0
  789. Mon Jul  1 09:27:33 2019  A2: 0
  790. Mon Jul  1 09:27:33 2019  A3: 0
  791. Mon Jul  1 09:27:33 2019  A4: 0
  792. Mon Jul  1 09:27:33 2019  A5: 0
  793. Mon Jul  1 09:27:33 2019  A6: 9
  794. Mon Jul  1 09:27:33 2019  skew 1.02, size 1.454e-12, alpha 1.630, combined = 1.546e-13 rroots = 2
  795. Mon Jul  1 09:27:33 2019  
  796. Mon Jul  1 09:27:33 2019  commencing square root phase
  797. Mon Jul  1 09:27:33 2019  reading relations for dependency 1
  798. Mon Jul  1 09:27:34 2019  read 7603123 cycles
  799. Mon Jul  1 09:27:44 2019  cycles contain 25675836 unique relations
  800. Mon Jul  1 09:29:18 2019  read 25675836 relations
  801. Mon Jul  1 09:30:35 2019  multiplying 25675836 relations
  802. Mon Jul  1 09:47:12 2019  multiply complete, coefficients have about 729.99 million bits
  803. Mon Jul  1 09:47:14 2019  initial square root is modulo 3541177
  804. Mon Jul  1 10:05:03 2019  GCD is 1, no factor found
  805. Mon Jul  1 10:05:03 2019  reading relations for dependency 2
  806. Mon Jul  1 10:05:04 2019  read 7597990 cycles
  807. Mon Jul  1 10:05:14 2019  cycles contain 25665288 unique relations
  808. Mon Jul  1 10:06:48 2019  read 25665288 relations
  809. Mon Jul  1 10:08:20 2019  multiplying 25665288 relations
  810. Mon Jul  1 10:24:54 2019  multiply complete, coefficients have about 729.69 million bits
  811. Mon Jul  1 10:24:56 2019  initial square root is modulo 3518899
  812. Mon Jul  1 10:42:36 2019  GCD is N, no factor found
  813. Mon Jul  1 10:42:36 2019  reading relations for dependency 3
  814. Mon Jul  1 10:42:37 2019  read 7597741 cycles
  815. Mon Jul  1 10:42:46 2019  cycles contain 25662210 unique relations
  816. Mon Jul  1 10:44:21 2019  read 25662210 relations
  817. Mon Jul  1 10:45:39 2019  multiplying 25662210 relations
  818. Mon Jul  1 11:02:14 2019  multiply complete, coefficients have about 729.60 million bits
  819. Mon Jul  1 11:02:16 2019  initial square root is modulo 3512983
  820. Mon Jul  1 11:19:58 2019  sqrtTime: 6745
  821. Mon Jul  1 11:19:58 2019  p65 factor: 40204376040779535464194542775610688377062685589138938172552351161
  822. Mon Jul  1 11:19:58 2019  p148 factor: 6715880138591323962597600323477879949614164565962174337747587717882895364442276773649617536446644402106812177762163041109711166992776339734133944569
  823. Mon Jul  1 11:19:58 2019  elapsed time 01:52:26
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