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C189_136_130

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  1. Sat Nov 12 21:35:27 2016  Msieve v. 1.53 (SVN unknown)
  2. Sat Nov 12 21:35:27 2016  random seeds: 3522ac1b 7b563799
  3. Sat Nov 12 21:35:27 2016  factoring 352129661023131208925796543082478223515270115055752719680628966116192561533649985446338911820982049620025818150018406379124352151856365743956455711604674912885482640463898973564675529956001 (189 digits)
  4. Sat Nov 12 21:35:28 2016  searching for 15-digit factors
  5. Sat Nov 12 21:35:28 2016  commencing number field sieve (189-digit input)
  6. Sat Nov 12 21:35:28 2016  R0: 110451530721771496716815273458972247201369030656
  7. Sat Nov 12 21:35:28 2016  R1: -8885065410379260901802741051591932773590087890625
  8. Sat Nov 12 21:35:28 2016  A0: 65
  9. Sat Nov 12 21:35:28 2016  A1: 0
  10. Sat Nov 12 21:35:28 2016  A2: 0
  11. Sat Nov 12 21:35:28 2016  A3: 0
  12. Sat Nov 12 21:35:28 2016  A4: 0
  13. Sat Nov 12 21:35:28 2016  A5: 16
  14. Sat Nov 12 21:35:28 2016  skew 1.32, size 5.884e-17, alpha 0.159, combined = 1.565e-13 rroots = 1
  15. Sat Nov 12 21:35:28 2016  
  16. Sat Nov 12 21:35:28 2016  commencing relation filtering
  17. Sat Nov 12 21:35:28 2016  setting target matrix density to 140.0
  18. Sat Nov 12 21:35:28 2016  estimated available RAM is 15998.5 MB
  19. Sat Nov 12 21:35:28 2016  commencing duplicate removal, pass 1
  20. Sat Nov 12 22:29:10 2016  skipped 748 relations with b > 2^32
  21. Sat Nov 12 22:29:10 2016  found 33575034 hash collisions in 403350876 relations
  22. Sat Nov 12 22:29:36 2016  added 731598 free relations
  23. Sat Nov 12 22:29:36 2016  commencing duplicate removal, pass 2
  24. Sat Nov 12 22:31:20 2016  found 0 duplicates and 404082474 unique relations
  25. Sat Nov 12 22:31:20 2016  memory use: 1321.5 MB
  26. Sat Nov 12 22:31:20 2016  reading ideals above 249888768
  27. Sat Nov 12 22:31:20 2016  commencing singleton removal, initial pass
  28. Sat Nov 12 23:12:47 2016  memory use: 6024.0 MB
  29. Sat Nov 12 23:12:47 2016  reading all ideals from disk
  30. Sat Nov 12 23:13:06 2016  memory use: 6848.2 MB
  31. Sat Nov 12 23:13:24 2016  commencing in-memory singleton removal
  32. Sat Nov 12 23:13:41 2016  begin with 404082474 relations and 314169919 unique ideals
  33. Sat Nov 12 23:16:44 2016  reduce to 279934668 relations and 178614503 ideals in 14 passes
  34. Sat Nov 12 23:16:44 2016  max relations containing the same ideal: 57
  35. Sat Nov 12 23:16:59 2016  reading ideals above 720000
  36. Sat Nov 12 23:16:59 2016  commencing singleton removal, initial pass
  37. Sat Nov 12 23:52:49 2016  memory use: 5512.0 MB
  38. Sat Nov 12 23:52:49 2016  reading large ideals from disk
  39. Sat Nov 12 23:54:33 2016  keeping 185754071 ideals with weight <= 20, target excess is 20206828
  40. Sat Nov 12 23:56:25 2016  memory use: 7165.9 MB
  41. Sat Nov 12 23:56:25 2016  commencing in-memory singleton removal
  42. Sat Nov 12 23:56:32 2016  begin with 279934668 relations and 185754071 unique ideals
  43. Sat Nov 12 23:57:21 2016  reduce to 279933896 relations and 185753299 ideals in 6 passes
  44. Sat Nov 12 23:57:21 2016  max relations containing the same ideal: 20
  45. Sat Nov 12 23:58:13 2016  removing 10834135 relations and 8834135 ideals in 2000000 cliques
  46. Sat Nov 12 23:58:16 2016  commencing in-memory singleton removal
  47. Sat Nov 12 23:58:23 2016  begin with 269099761 relations and 185753299 unique ideals
  48. Sat Nov 12 23:59:26 2016  reduce to 268741836 relations and 176557784 ideals in 8 passes
  49. Sat Nov 12 23:59:26 2016  max relations containing the same ideal: 20
  50. Sun Nov 13 00:00:16 2016  removing 8134597 relations and 6134597 ideals in 2000000 cliques
  51. Sun Nov 13 00:00:19 2016  commencing in-memory singleton removal
  52. Sun Nov 13 00:00:26 2016  begin with 260607239 relations and 176557784 unique ideals
  53. Sun Nov 13 00:01:19 2016  reduce to 260370117 relations and 170184070 ideals in 7 passes
  54. Sun Nov 13 00:01:19 2016  max relations containing the same ideal: 20
  55. Sun Nov 13 00:02:06 2016  removing 7378498 relations and 5378498 ideals in 2000000 cliques
  56. Sun Nov 13 00:02:10 2016  commencing in-memory singleton removal
  57. Sun Nov 13 00:02:16 2016  begin with 252991619 relations and 170184070 unique ideals
  58. Sun Nov 13 00:03:00 2016  reduce to 252790923 relations and 164603266 ideals in 6 passes
  59. Sun Nov 13 00:03:00 2016  max relations containing the same ideal: 20
  60. Sun Nov 13 00:03:47 2016  removing 6906752 relations and 4906752 ideals in 2000000 cliques
  61. Sun Nov 13 00:03:50 2016  commencing in-memory singleton removal
  62. Sun Nov 13 00:03:56 2016  begin with 245884171 relations and 164603266 unique ideals
  63. Sun Nov 13 00:04:38 2016  reduce to 245696961 relations and 159507702 ideals in 6 passes
  64. Sun Nov 13 00:04:38 2016  max relations containing the same ideal: 20
  65. Sun Nov 13 00:05:24 2016  removing 6648031 relations and 4648031 ideals in 2000000 cliques
  66. Sun Nov 13 00:05:27 2016  commencing in-memory singleton removal
  67. Sun Nov 13 00:05:32 2016  begin with 239048930 relations and 159507702 unique ideals
  68. Sun Nov 13 00:06:20 2016  reduce to 238874989 relations and 154684241 ideals in 7 passes
  69. Sun Nov 13 00:06:20 2016  max relations containing the same ideal: 20
  70. Sun Nov 13 00:07:05 2016  removing 6486323 relations and 4486323 ideals in 2000000 cliques
  71. Sun Nov 13 00:07:08 2016  commencing in-memory singleton removal
  72. Sun Nov 13 00:07:13 2016  begin with 232388666 relations and 154684241 unique ideals
  73. Sun Nov 13 00:07:59 2016  reduce to 232227143 relations and 150034968 ideals in 7 passes
  74. Sun Nov 13 00:07:59 2016  max relations containing the same ideal: 20
  75. Sun Nov 13 00:08:43 2016  removing 6267784 relations and 4267784 ideals in 2000000 cliques
  76. Sun Nov 13 00:08:46 2016  commencing in-memory singleton removal
  77. Sun Nov 13 00:08:51 2016  begin with 225959359 relations and 150034968 unique ideals
  78. Sun Nov 13 00:09:36 2016  reduce to 225796599 relations and 145602914 ideals in 7 passes
  79. Sun Nov 13 00:09:36 2016  max relations containing the same ideal: 20
  80. Sun Nov 13 00:10:18 2016  removing 6282782 relations and 4282782 ideals in 2000000 cliques
  81. Sun Nov 13 00:10:21 2016  commencing in-memory singleton removal
  82. Sun Nov 13 00:10:26 2016  begin with 219513817 relations and 145602914 unique ideals
  83. Sun Nov 13 00:11:03 2016  reduce to 219364959 relations and 141169841 ideals in 6 passes
  84. Sun Nov 13 00:11:03 2016  max relations containing the same ideal: 20
  85. Sun Nov 13 00:11:44 2016  removing 6078370 relations and 4078370 ideals in 2000000 cliques
  86. Sun Nov 13 00:11:47 2016  commencing in-memory singleton removal
  87. Sun Nov 13 00:11:52 2016  begin with 213286589 relations and 141169841 unique ideals
  88. Sun Nov 13 00:12:34 2016  reduce to 213132333 relations and 136935715 ideals in 7 passes
  89. Sun Nov 13 00:12:34 2016  max relations containing the same ideal: 20
  90. Sun Nov 13 00:13:13 2016  removing 6000665 relations and 4000665 ideals in 2000000 cliques
  91. Sun Nov 13 00:13:16 2016  commencing in-memory singleton removal
  92. Sun Nov 13 00:13:21 2016  begin with 207131668 relations and 136935715 unique ideals
  93. Sun Nov 13 00:13:56 2016  reduce to 206978048 relations and 132779742 ideals in 6 passes
  94. Sun Nov 13 00:13:56 2016  max relations containing the same ideal: 20
  95. Sun Nov 13 00:14:35 2016  removing 5976695 relations and 3976695 ideals in 2000000 cliques
  96. Sun Nov 13 00:14:37 2016  commencing in-memory singleton removal
  97. Sun Nov 13 00:14:42 2016  begin with 201001353 relations and 132779742 unique ideals
  98. Sun Nov 13 00:15:15 2016  reduce to 200851514 relations and 128651605 ideals in 6 passes
  99. Sun Nov 13 00:15:15 2016  max relations containing the same ideal: 20
  100. Sun Nov 13 00:15:53 2016  removing 5878549 relations and 3878549 ideals in 2000000 cliques
  101. Sun Nov 13 00:15:56 2016  commencing in-memory singleton removal
  102. Sun Nov 13 00:16:00 2016  begin with 194972965 relations and 128651605 unique ideals
  103. Sun Nov 13 00:16:33 2016  reduce to 194829443 relations and 124627934 ideals in 6 passes
  104. Sun Nov 13 00:16:33 2016  max relations containing the same ideal: 20
  105. Sun Nov 13 00:17:08 2016  removing 5901435 relations and 3901435 ideals in 2000000 cliques
  106. Sun Nov 13 00:17:11 2016  commencing in-memory singleton removal
  107. Sun Nov 13 00:17:15 2016  begin with 188928008 relations and 124627934 unique ideals
  108. Sun Nov 13 00:17:57 2016  reduce to 188784149 relations and 120581007 ideals in 8 passes
  109. Sun Nov 13 00:17:57 2016  max relations containing the same ideal: 20
  110. Sun Nov 13 00:18:31 2016  removing 5728707 relations and 3728707 ideals in 2000000 cliques
  111. Sun Nov 13 00:18:34 2016  commencing in-memory singleton removal
  112. Sun Nov 13 00:18:38 2016  begin with 183055442 relations and 120581007 unique ideals
  113. Sun Nov 13 00:19:13 2016  reduce to 182879243 relations and 116673973 ideals in 7 passes
  114. Sun Nov 13 00:19:13 2016  max relations containing the same ideal: 20
  115. Sun Nov 13 00:19:47 2016  removing 5773574 relations and 3773574 ideals in 2000000 cliques
  116. Sun Nov 13 00:19:49 2016  commencing in-memory singleton removal
  117. Sun Nov 13 00:19:53 2016  begin with 177105669 relations and 116673973 unique ideals
  118. Sun Nov 13 00:20:27 2016  reduce to 176948976 relations and 112741660 ideals in 7 passes
  119. Sun Nov 13 00:20:27 2016  max relations containing the same ideal: 20
  120. Sun Nov 13 00:21:00 2016  removing 5797846 relations and 3797847 ideals in 2000000 cliques
  121. Sun Nov 13 00:21:02 2016  commencing in-memory singleton removal
  122. Sun Nov 13 00:21:06 2016  begin with 171151130 relations and 112741660 unique ideals
  123. Sun Nov 13 00:21:34 2016  reduce to 170999906 relations and 108790544 ideals in 6 passes
  124. Sun Nov 13 00:21:34 2016  max relations containing the same ideal: 20
  125. Sun Nov 13 00:22:05 2016  removing 5729260 relations and 3729260 ideals in 2000000 cliques
  126. Sun Nov 13 00:22:08 2016  commencing in-memory singleton removal
  127. Sun Nov 13 00:22:11 2016  begin with 165270646 relations and 108790544 unique ideals
  128. Sun Nov 13 00:22:42 2016  reduce to 165120469 relations and 104909071 ideals in 7 passes
  129. Sun Nov 13 00:22:42 2016  max relations containing the same ideal: 20
  130. Sun Nov 13 00:23:12 2016  removing 5718565 relations and 3718565 ideals in 2000000 cliques
  131. Sun Nov 13 00:23:15 2016  commencing in-memory singleton removal
  132. Sun Nov 13 00:23:18 2016  begin with 159401904 relations and 104909071 unique ideals
  133. Sun Nov 13 00:23:44 2016  reduce to 159246550 relations and 101032988 ideals in 6 passes
  134. Sun Nov 13 00:23:44 2016  max relations containing the same ideal: 20
  135. Sun Nov 13 00:24:13 2016  removing 5503506 relations and 3503506 ideals in 2000000 cliques
  136. Sun Nov 13 00:24:15 2016  commencing in-memory singleton removal
  137. Sun Nov 13 00:24:19 2016  begin with 153743044 relations and 101032988 unique ideals
  138. Sun Nov 13 00:24:47 2016  reduce to 153539899 relations and 97323188 ideals in 7 passes
  139. Sun Nov 13 00:24:47 2016  max relations containing the same ideal: 20
  140. Sun Nov 13 00:25:15 2016  removing 5693942 relations and 3693942 ideals in 2000000 cliques
  141. Sun Nov 13 00:25:18 2016  commencing in-memory singleton removal
  142. Sun Nov 13 00:25:21 2016  begin with 147845957 relations and 97323188 unique ideals
  143. Sun Nov 13 00:25:48 2016  reduce to 147679164 relations and 93459773 ideals in 7 passes
  144. Sun Nov 13 00:25:48 2016  max relations containing the same ideal: 20
  145. Sun Nov 13 00:26:15 2016  removing 5695518 relations and 3695518 ideals in 2000000 cliques
  146. Sun Nov 13 00:26:17 2016  commencing in-memory singleton removal
  147. Sun Nov 13 00:26:20 2016  begin with 141983646 relations and 93459773 unique ideals
  148. Sun Nov 13 00:26:50 2016  reduce to 141819007 relations and 89596935 ideals in 8 passes
  149. Sun Nov 13 00:26:50 2016  max relations containing the same ideal: 20
  150. Sun Nov 13 00:27:16 2016  removing 5594838 relations and 3594838 ideals in 2000000 cliques
  151. Sun Nov 13 00:27:18 2016  commencing in-memory singleton removal
  152. Sun Nov 13 00:27:21 2016  begin with 136224169 relations and 89596935 unique ideals
  153. Sun Nov 13 00:27:46 2016  reduce to 136031295 relations and 85806027 ideals in 7 passes
  154. Sun Nov 13 00:27:46 2016  max relations containing the same ideal: 20
  155. Sun Nov 13 00:28:11 2016  removing 5630943 relations and 3630943 ideals in 2000000 cliques
  156. Sun Nov 13 00:28:13 2016  commencing in-memory singleton removal
  157. Sun Nov 13 00:28:15 2016  begin with 130400352 relations and 85806027 unique ideals
  158. Sun Nov 13 00:28:39 2016  reduce to 130212789 relations and 81984191 ideals in 7 passes
  159. Sun Nov 13 00:28:39 2016  max relations containing the same ideal: 20
  160. Sun Nov 13 00:29:01 2016  removing 5595132 relations and 3595132 ideals in 2000000 cliques
  161. Sun Nov 13 00:29:03 2016  commencing in-memory singleton removal
  162. Sun Nov 13 00:29:06 2016  begin with 124617657 relations and 81984191 unique ideals
  163. Sun Nov 13 00:29:28 2016  reduce to 124423422 relations and 78191344 ideals in 7 passes
  164. Sun Nov 13 00:29:28 2016  max relations containing the same ideal: 20
  165. Sun Nov 13 00:29:50 2016  removing 5526545 relations and 3526545 ideals in 2000000 cliques
  166. Sun Nov 13 00:29:52 2016  commencing in-memory singleton removal
  167. Sun Nov 13 00:29:54 2016  begin with 118896877 relations and 78191344 unique ideals
  168. Sun Nov 13 00:30:15 2016  reduce to 118669004 relations and 74432531 ideals in 7 passes
  169. Sun Nov 13 00:30:15 2016  max relations containing the same ideal: 19
  170. Sun Nov 13 00:30:35 2016  removing 5626518 relations and 3626518 ideals in 2000000 cliques
  171. Sun Nov 13 00:30:37 2016  commencing in-memory singleton removal
  172. Sun Nov 13 00:30:39 2016  begin with 113042486 relations and 74432531 unique ideals
  173. Sun Nov 13 00:30:59 2016  reduce to 112818180 relations and 70577347 ideals in 7 passes
  174. Sun Nov 13 00:30:59 2016  max relations containing the same ideal: 19
  175. Sun Nov 13 00:31:19 2016  removing 5659089 relations and 3659089 ideals in 2000000 cliques
  176. Sun Nov 13 00:31:20 2016  commencing in-memory singleton removal
  177. Sun Nov 13 00:31:22 2016  begin with 107159091 relations and 70577347 unique ideals
  178. Sun Nov 13 00:31:44 2016  reduce to 106927879 relations and 66682430 ideals in 8 passes
  179. Sun Nov 13 00:31:44 2016  max relations containing the same ideal: 19
  180. Sun Nov 13 00:32:02 2016  removing 5540696 relations and 3540696 ideals in 2000000 cliques
  181. Sun Nov 13 00:32:04 2016  commencing in-memory singleton removal
  182. Sun Nov 13 00:32:05 2016  begin with 101387183 relations and 66682430 unique ideals
  183. Sun Nov 13 00:32:25 2016  reduce to 101143185 relations and 62892478 ideals in 8 passes
  184. Sun Nov 13 00:32:25 2016  max relations containing the same ideal: 18
  185. Sun Nov 13 00:32:42 2016  removing 5681911 relations and 3681911 ideals in 2000000 cliques
  186. Sun Nov 13 00:32:44 2016  commencing in-memory singleton removal
  187. Sun Nov 13 00:32:46 2016  begin with 95461274 relations and 62892478 unique ideals
  188. Sun Nov 13 00:33:04 2016  reduce to 95198243 relations and 58941657 ideals in 8 passes
  189. Sun Nov 13 00:33:04 2016  max relations containing the same ideal: 18
  190. Sun Nov 13 00:33:21 2016  removing 5644865 relations and 3644865 ideals in 2000000 cliques
  191. Sun Nov 13 00:33:22 2016  commencing in-memory singleton removal
  192. Sun Nov 13 00:33:24 2016  begin with 89553378 relations and 58941657 unique ideals
  193. Sun Nov 13 00:33:41 2016  reduce to 89300584 relations and 55038398 ideals in 8 passes
  194. Sun Nov 13 00:33:41 2016  max relations containing the same ideal: 18
  195. Sun Nov 13 00:33:56 2016  removing 5711865 relations and 3711865 ideals in 2000000 cliques
  196. Sun Nov 13 00:33:58 2016  commencing in-memory singleton removal
  197. Sun Nov 13 00:33:59 2016  begin with 83588719 relations and 55038398 unique ideals
  198. Sun Nov 13 00:34:15 2016  reduce to 83323252 relations and 51055358 ideals in 8 passes
  199. Sun Nov 13 00:34:15 2016  max relations containing the same ideal: 16
  200. Sun Nov 13 00:34:29 2016  removing 5758996 relations and 3758996 ideals in 2000000 cliques
  201. Sun Nov 13 00:34:31 2016  commencing in-memory singleton removal
  202. Sun Nov 13 00:34:32 2016  begin with 77564256 relations and 51055358 unique ideals
  203. Sun Nov 13 00:34:46 2016  reduce to 77308101 relations and 47034755 ideals in 8 passes
  204. Sun Nov 13 00:34:46 2016  max relations containing the same ideal: 16
  205. Sun Nov 13 00:35:00 2016  removing 5693186 relations and 3693186 ideals in 2000000 cliques
  206. Sun Nov 13 00:35:01 2016  commencing in-memory singleton removal
  207. Sun Nov 13 00:35:02 2016  begin with 71614915 relations and 47034755 unique ideals
  208. Sun Nov 13 00:35:17 2016  reduce to 71167041 relations and 42881127 ideals in 9 passes
  209. Sun Nov 13 00:35:17 2016  max relations containing the same ideal: 16
  210. Sun Nov 13 00:35:29 2016  removing 5584778 relations and 3584778 ideals in 2000000 cliques
  211. Sun Nov 13 00:35:31 2016  commencing in-memory singleton removal
  212. Sun Nov 13 00:35:32 2016  begin with 65582263 relations and 42881127 unique ideals
  213. Sun Nov 13 00:35:43 2016  reduce to 65129304 relations and 38828523 ideals in 8 passes
  214. Sun Nov 13 00:35:43 2016  max relations containing the same ideal: 16
  215. Sun Nov 13 00:35:55 2016  removing 5729816 relations and 3729816 ideals in 2000000 cliques
  216. Sun Nov 13 00:35:56 2016  commencing in-memory singleton removal
  217. Sun Nov 13 00:35:57 2016  begin with 59399488 relations and 38828523 unique ideals
  218. Sun Nov 13 00:36:07 2016  reduce to 58969308 relations and 34652977 ideals in 8 passes
  219. Sun Nov 13 00:36:07 2016  max relations containing the same ideal: 15
  220. Sun Nov 13 00:36:17 2016  removing 2487143 relations and 1610733 ideals in 876410 cliques
  221. Sun Nov 13 00:36:18 2016  commencing in-memory singleton removal
  222. Sun Nov 13 00:36:19 2016  begin with 56482165 relations and 34652977 unique ideals
  223. Sun Nov 13 00:36:30 2016  reduce to 56300886 relations and 32856465 ideals in 9 passes
  224. Sun Nov 13 00:36:30 2016  max relations containing the same ideal: 14
  225. Sun Nov 13 00:36:41 2016  relations with 0 large ideals: 6797620
  226. Sun Nov 13 00:36:41 2016  relations with 1 large ideals: 22634640
  227. Sun Nov 13 00:36:41 2016  relations with 2 large ideals: 20909525
  228. Sun Nov 13 00:36:41 2016  relations with 3 large ideals: 5472839
  229. Sun Nov 13 00:36:41 2016  relations with 4 large ideals: 440115
  230. Sun Nov 13 00:36:41 2016  relations with 5 large ideals: 44431
  231. Sun Nov 13 00:36:41 2016  relations with 6 large ideals: 1713
  232. Sun Nov 13 00:36:41 2016  relations with 7+ large ideals: 3
  233. Sun Nov 13 00:36:41 2016  commencing 2-way merge
  234. Sun Nov 13 00:36:53 2016  reduce to 33078579 relation sets and 9634158 unique ideals
  235. Sun Nov 13 00:36:53 2016  commencing full merge
  236. Sun Nov 13 00:37:28 2016  memory use: 1134.3 MB
  237. Sun Nov 13 00:37:30 2016  found 23444252 cycles, need 20207028
  238. Sun Nov 13 00:37:34 2016  weight of 20207028 cycles is about 825304869 (40.84/cycle)
  239. Sun Nov 13 00:37:34 2016  distribution of cycle lengths:
  240. Sun Nov 13 00:37:34 2016  1 relations: 6797620
  241. Sun Nov 13 00:37:34 2016  2 relations: 3527097
  242. Sun Nov 13 00:37:34 2016  3 relations: 2921542
  243. Sun Nov 13 00:37:34 2016  4 relations: 2525965
  244. Sun Nov 13 00:37:34 2016  5 relations: 2092413
  245. Sun Nov 13 00:37:34 2016  6 relations: 1567947
  246. Sun Nov 13 00:37:34 2016  7 relations: 766397
  247. Sun Nov 13 00:37:34 2016  8 relations: 8032
  248. Sun Nov 13 00:37:34 2016  9 relations: 15
  249. Sun Nov 13 00:37:34 2016  10+ relations: 0
  250. Sun Nov 13 00:37:34 2016  heaviest cycle: 9 relations
  251. Sun Nov 13 00:37:34 2016  matrix not dense enough, retrying
  252. Sun Nov 13 00:37:36 2016  reading large ideals from disk
  253. Sun Nov 13 00:39:39 2016  keeping 187648991 ideals with weight <= 25, target excess is 18311908
  254. Sun Nov 13 00:41:47 2016  memory use: 7165.9 MB
  255. Sun Nov 13 00:41:47 2016  commencing in-memory singleton removal
  256. Sun Nov 13 00:41:58 2016  begin with 279934668 relations and 187648991 unique ideals
  257. Sun Nov 13 00:43:06 2016  reduce to 279933896 relations and 187648219 ideals in 6 passes
  258. Sun Nov 13 00:43:06 2016  max relations containing the same ideal: 25
  259. Sun Nov 13 00:44:13 2016  removing 10906405 relations and 8906405 ideals in 2000000 cliques
  260. Sun Nov 13 00:44:17 2016  commencing in-memory singleton removal
  261. Sun Nov 13 00:44:27 2016  begin with 269027491 relations and 187648219 unique ideals
  262. Sun Nov 13 00:45:53 2016  reduce to 268673351 relations and 178384260 ideals in 8 passes
  263. Sun Nov 13 00:45:53 2016  max relations containing the same ideal: 25
  264. Sun Nov 13 00:46:56 2016  removing 8179416 relations and 6179416 ideals in 2000000 cliques
  265. Sun Nov 13 00:47:00 2016  commencing in-memory singleton removal
  266. Sun Nov 13 00:47:09 2016  begin with 260493935 relations and 178384260 unique ideals
  267. Sun Nov 13 00:48:20 2016  reduce to 260257378 relations and 171966309 ideals in 7 passes
  268. Sun Nov 13 00:48:20 2016  max relations containing the same ideal: 25
  269. Sun Nov 13 00:49:21 2016  removing 7395042 relations and 5395042 ideals in 2000000 cliques
  270. Sun Nov 13 00:49:24 2016  commencing in-memory singleton removal
  271. Sun Nov 13 00:49:33 2016  begin with 252862336 relations and 171966309 unique ideals
  272. Sun Nov 13 00:50:42 2016  reduce to 252661837 relations and 166369207 ideals in 7 passes
  273. Sun Nov 13 00:50:42 2016  max relations containing the same ideal: 25
  274. Sun Nov 13 00:51:40 2016  removing 6979992 relations and 4979992 ideals in 2000000 cliques
  275. Sun Nov 13 00:51:44 2016  commencing in-memory singleton removal
  276. Sun Nov 13 00:51:52 2016  begin with 245681845 relations and 166369207 unique ideals
  277. Sun Nov 13 00:52:57 2016  reduce to 245498821 relations and 161204670 ideals in 7 passes
  278. Sun Nov 13 00:52:57 2016  max relations containing the same ideal: 25
  279. Sun Nov 13 00:53:54 2016  removing 6707463 relations and 4707463 ideals in 2000000 cliques
  280. Sun Nov 13 00:53:57 2016  commencing in-memory singleton removal
  281. Sun Nov 13 00:54:05 2016  begin with 238791358 relations and 161204670 unique ideals
  282. Sun Nov 13 00:55:07 2016  reduce to 238622978 relations and 156327415 ideals in 7 passes
  283. Sun Nov 13 00:55:07 2016  max relations containing the same ideal: 25
  284. Sun Nov 13 00:56:02 2016  removing 6467597 relations and 4467597 ideals in 2000000 cliques
  285. Sun Nov 13 00:56:06 2016  commencing in-memory singleton removal
  286. Sun Nov 13 00:56:13 2016  begin with 232155381 relations and 156327415 unique ideals
  287. Sun Nov 13 00:57:04 2016  reduce to 231991215 relations and 151694225 ideals in 6 passes
  288. Sun Nov 13 00:57:04 2016  max relations containing the same ideal: 25
  289. Sun Nov 13 00:57:58 2016  removing 6348585 relations and 4348585 ideals in 2000000 cliques
  290. Sun Nov 13 00:58:01 2016  commencing in-memory singleton removal
  291. Sun Nov 13 00:58:08 2016  begin with 225642630 relations and 151694225 unique ideals
  292. Sun Nov 13 00:59:05 2016  reduce to 225485877 relations and 147187475 ideals in 7 passes
  293. Sun Nov 13 00:59:05 2016  max relations containing the same ideal: 25
  294. Sun Nov 13 00:59:56 2016  removing 6221435 relations and 4221435 ideals in 2000000 cliques
  295. Sun Nov 13 00:59:59 2016  commencing in-memory singleton removal
  296. Sun Nov 13 01:00:06 2016  begin with 219264442 relations and 147187475 unique ideals
  297. Sun Nov 13 01:00:53 2016  reduce to 219109332 relations and 142809453 ideals in 6 passes
  298. Sun Nov 13 01:00:53 2016  max relations containing the same ideal: 25
  299. Sun Nov 13 01:01:43 2016  removing 6147426 relations and 4147426 ideals in 2000000 cliques
  300. Sun Nov 13 01:01:46 2016  commencing in-memory singleton removal
  301. Sun Nov 13 01:01:52 2016  begin with 212961906 relations and 142809453 unique ideals
  302. Sun Nov 13 01:02:44 2016  reduce to 212813463 relations and 138512184 ideals in 7 passes
  303. Sun Nov 13 01:02:44 2016  max relations containing the same ideal: 25
  304. Sun Nov 13 01:03:31 2016  removing 6035973 relations and 4035973 ideals in 2000000 cliques
  305. Sun Nov 13 01:03:34 2016  commencing in-memory singleton removal
  306. Sun Nov 13 01:03:41 2016  begin with 206777490 relations and 138512184 unique ideals
  307. Sun Nov 13 01:04:23 2016  reduce to 206626488 relations and 134323641 ideals in 6 passes
  308. Sun Nov 13 01:04:23 2016  max relations containing the same ideal: 25
  309. Sun Nov 13 01:05:08 2016  removing 5957585 relations and 3957585 ideals in 2000000 cliques
  310. Sun Nov 13 01:05:11 2016  commencing in-memory singleton removal
  311. Sun Nov 13 01:05:17 2016  begin with 200668903 relations and 134323641 unique ideals
  312. Sun Nov 13 01:06:04 2016  reduce to 200520601 relations and 130216146 ideals in 7 passes
  313. Sun Nov 13 01:06:04 2016  max relations containing the same ideal: 25
  314. Sun Nov 13 01:06:48 2016  removing 5917489 relations and 3917489 ideals in 2000000 cliques
  315. Sun Nov 13 01:06:51 2016  commencing in-memory singleton removal
  316. Sun Nov 13 01:06:56 2016  begin with 194603112 relations and 130216146 unique ideals
  317. Sun Nov 13 01:07:42 2016  reduce to 194449876 relations and 126143714 ideals in 7 passes
  318. Sun Nov 13 01:07:42 2016  max relations containing the same ideal: 25
  319. Sun Nov 13 01:08:24 2016  removing 5894936 relations and 3894936 ideals in 2000000 cliques
  320. Sun Nov 13 01:08:27 2016  commencing in-memory singleton removal
  321. Sun Nov 13 01:08:32 2016  begin with 188554940 relations and 126143714 unique ideals
  322. Sun Nov 13 01:09:15 2016  reduce to 188409541 relations and 122101694 ideals in 7 passes
  323. Sun Nov 13 01:09:15 2016  max relations containing the same ideal: 25
  324. Sun Nov 13 01:09:56 2016  removing 5834664 relations and 3834665 ideals in 2000000 cliques
  325. Sun Nov 13 01:09:59 2016  commencing in-memory singleton removal
  326. Sun Nov 13 01:10:04 2016  begin with 182574877 relations and 122101694 unique ideals
  327. Sun Nov 13 01:10:44 2016  reduce to 182429782 relations and 118120134 ideals in 7 passes
  328. Sun Nov 13 01:10:44 2016  max relations containing the same ideal: 25
  329. Sun Nov 13 01:11:23 2016  removing 5740186 relations and 3740186 ideals in 2000000 cliques
  330. Sun Nov 13 01:11:26 2016  commencing in-memory singleton removal
  331. Sun Nov 13 01:11:30 2016  begin with 176689596 relations and 118120134 unique ideals
  332. Sun Nov 13 01:12:09 2016  reduce to 176524930 relations and 114213224 ideals in 7 passes
  333. Sun Nov 13 01:12:09 2016  max relations containing the same ideal: 25
  334. Sun Nov 13 01:12:47 2016  removing 5762158 relations and 3762158 ideals in 2000000 cliques
  335. Sun Nov 13 01:12:49 2016  commencing in-memory singleton removal
  336. Sun Nov 13 01:12:54 2016  begin with 170762772 relations and 114213224 unique ideals
  337. Sun Nov 13 01:13:30 2016  reduce to 170604238 relations and 110290457 ideals in 7 passes
  338. Sun Nov 13 01:13:30 2016  max relations containing the same ideal: 25
  339. Sun Nov 13 01:14:07 2016  removing 5729511 relations and 3729511 ideals in 2000000 cliques
  340. Sun Nov 13 01:14:09 2016  commencing in-memory singleton removal
  341. Sun Nov 13 01:14:14 2016  begin with 164874727 relations and 110290457 unique ideals
  342. Sun Nov 13 01:14:44 2016  reduce to 164714998 relations and 106399054 ideals in 6 passes
  343. Sun Nov 13 01:14:44 2016  max relations containing the same ideal: 25
  344. Sun Nov 13 01:15:19 2016  removing 5744085 relations and 3744085 ideals in 2000000 cliques
  345. Sun Nov 13 01:15:21 2016  commencing in-memory singleton removal
  346. Sun Nov 13 01:15:25 2016  begin with 158970913 relations and 106399054 unique ideals
  347. Sun Nov 13 01:15:54 2016  reduce to 158812887 relations and 102494619 ideals in 6 passes
  348. Sun Nov 13 01:15:54 2016  max relations containing the same ideal: 25
  349. Sun Nov 13 01:16:28 2016  removing 5698346 relations and 3698346 ideals in 2000000 cliques
  350. Sun Nov 13 01:16:30 2016  commencing in-memory singleton removal
  351. Sun Nov 13 01:16:34 2016  begin with 153114541 relations and 102494619 unique ideals
  352. Sun Nov 13 01:17:01 2016  reduce to 152957105 relations and 98636455 ideals in 6 passes
  353. Sun Nov 13 01:17:01 2016  max relations containing the same ideal: 25
  354. Sun Nov 13 01:17:33 2016  removing 5677332 relations and 3677332 ideals in 2000000 cliques
  355. Sun Nov 13 01:17:36 2016  commencing in-memory singleton removal
  356. Sun Nov 13 01:17:39 2016  begin with 147279773 relations and 98636455 unique ideals
  357. Sun Nov 13 01:18:05 2016  reduce to 147116534 relations and 94793380 ideals in 6 passes
  358. Sun Nov 13 01:18:05 2016  max relations containing the same ideal: 25
  359. Sun Nov 13 01:18:36 2016  removing 5525772 relations and 3525772 ideals in 2000000 cliques
  360. Sun Nov 13 01:18:39 2016  commencing in-memory singleton removal
  361. Sun Nov 13 01:18:42 2016  begin with 141590762 relations and 94793380 unique ideals
  362. Sun Nov 13 01:19:11 2016  reduce to 141387171 relations and 91060725 ideals in 7 passes
  363. Sun Nov 13 01:19:11 2016  max relations containing the same ideal: 24
  364. Sun Nov 13 01:19:40 2016  removing 5665740 relations and 3665740 ideals in 2000000 cliques
  365. Sun Nov 13 01:19:43 2016  commencing in-memory singleton removal
  366. Sun Nov 13 01:19:46 2016  begin with 135721431 relations and 91060725 unique ideals
  367. Sun Nov 13 01:20:13 2016  reduce to 135538213 relations and 87208674 ideals in 7 passes
  368. Sun Nov 13 01:20:13 2016  max relations containing the same ideal: 24
  369. Sun Nov 13 01:20:42 2016  removing 5669389 relations and 3669389 ideals in 2000000 cliques
  370. Sun Nov 13 01:20:44 2016  commencing in-memory singleton removal
  371. Sun Nov 13 01:20:47 2016  begin with 129868824 relations and 87208674 unique ideals
  372. Sun Nov 13 01:21:12 2016  reduce to 129692689 relations and 83360215 ideals in 7 passes
  373. Sun Nov 13 01:21:12 2016  max relations containing the same ideal: 23
  374. Sun Nov 13 01:21:40 2016  removing 5671046 relations and 3671046 ideals in 2000000 cliques
  375. Sun Nov 13 01:21:42 2016  commencing in-memory singleton removal
  376. Sun Nov 13 01:21:45 2016  begin with 124021643 relations and 83360215 unique ideals
  377. Sun Nov 13 01:22:09 2016  reduce to 123836160 relations and 79500427 ideals in 7 passes
  378. Sun Nov 13 01:22:09 2016  max relations containing the same ideal: 23
  379. Sun Nov 13 01:22:35 2016  removing 5558931 relations and 3558931 ideals in 2000000 cliques
  380. Sun Nov 13 01:22:37 2016  commencing in-memory singleton removal
  381. Sun Nov 13 01:22:39 2016  begin with 118277229 relations and 79500427 unique ideals
  382. Sun Nov 13 01:23:02 2016  reduce to 118055740 relations and 75715801 ideals in 7 passes
  383. Sun Nov 13 01:23:02 2016  max relations containing the same ideal: 22
  384. Sun Nov 13 01:23:27 2016  removing 5675630 relations and 3675630 ideals in 2000000 cliques
  385. Sun Nov 13 01:23:29 2016  commencing in-memory singleton removal
  386. Sun Nov 13 01:23:31 2016  begin with 112380110 relations and 75715801 unique ideals
  387. Sun Nov 13 01:23:52 2016  reduce to 112177896 relations and 71834084 ideals in 7 passes
  388. Sun Nov 13 01:23:52 2016  max relations containing the same ideal: 22
  389. Sun Nov 13 01:24:16 2016  removing 5592512 relations and 3592512 ideals in 2000000 cliques
  390. Sun Nov 13 01:24:18 2016  commencing in-memory singleton removal
  391. Sun Nov 13 01:24:20 2016  begin with 106585384 relations and 71834084 unique ideals
  392. Sun Nov 13 01:24:40 2016  reduce to 106354850 relations and 68006363 ideals in 7 passes
  393. Sun Nov 13 01:24:40 2016  max relations containing the same ideal: 21
  394. Sun Nov 13 01:25:02 2016  removing 5611960 relations and 3611960 ideals in 2000000 cliques
  395. Sun Nov 13 01:25:04 2016  commencing in-memory singleton removal
  396. Sun Nov 13 01:25:06 2016  begin with 100742890 relations and 68006363 unique ideals
  397. Sun Nov 13 01:25:24 2016  reduce to 100498717 relations and 64145117 ideals in 7 passes
  398. Sun Nov 13 01:25:24 2016  max relations containing the same ideal: 21
  399. Sun Nov 13 01:25:45 2016  removing 5663882 relations and 3663882 ideals in 2000000 cliques
  400. Sun Nov 13 01:25:47 2016  commencing in-memory singleton removal
  401. Sun Nov 13 01:25:49 2016  begin with 94834835 relations and 64145117 unique ideals
  402. Sun Nov 13 01:26:08 2016  reduce to 94576731 relations and 60217559 ideals in 8 passes
  403. Sun Nov 13 01:26:08 2016  max relations containing the same ideal: 21
  404. Sun Nov 13 01:26:28 2016  removing 5686586 relations and 3686586 ideals in 2000000 cliques
  405. Sun Nov 13 01:26:30 2016  commencing in-memory singleton removal
  406. Sun Nov 13 01:26:31 2016  begin with 88890145 relations and 60217559 unique ideals
  407. Sun Nov 13 01:26:52 2016  reduce to 88618580 relations and 56253337 ideals in 9 passes
  408. Sun Nov 13 01:26:52 2016  max relations containing the same ideal: 20
  409. Sun Nov 13 01:27:10 2016  removing 5618312 relations and 3618312 ideals in 2000000 cliques
  410. Sun Nov 13 01:27:12 2016  commencing in-memory singleton removal
  411. Sun Nov 13 01:27:13 2016  begin with 83000268 relations and 56253337 unique ideals
  412. Sun Nov 13 01:27:28 2016  reduce to 82692632 relations and 52319802 ideals in 7 passes
  413. Sun Nov 13 01:27:28 2016  max relations containing the same ideal: 20
  414. Sun Nov 13 01:27:45 2016  removing 5744315 relations and 3744315 ideals in 2000000 cliques
  415. Sun Nov 13 01:27:46 2016  commencing in-memory singleton removal
  416. Sun Nov 13 01:27:48 2016  begin with 76948317 relations and 52319802 unique ideals
  417. Sun Nov 13 01:28:03 2016  reduce to 76632720 relations and 48251743 ideals in 8 passes
  418. Sun Nov 13 01:28:03 2016  max relations containing the same ideal: 19
  419. Sun Nov 13 01:28:18 2016  removing 5749846 relations and 3749846 ideals in 2000000 cliques
  420. Sun Nov 13 01:28:20 2016  commencing in-memory singleton removal
  421. Sun Nov 13 01:28:21 2016  begin with 70882874 relations and 48251743 unique ideals
  422. Sun Nov 13 01:28:37 2016  reduce to 70562648 relations and 44173201 ideals in 9 passes
  423. Sun Nov 13 01:28:37 2016  max relations containing the same ideal: 19
  424. Sun Nov 13 01:28:51 2016  removing 5824874 relations and 3824874 ideals in 2000000 cliques
  425. Sun Nov 13 01:28:53 2016  commencing in-memory singleton removal
  426. Sun Nov 13 01:28:54 2016  begin with 64737774 relations and 44173201 unique ideals
  427. Sun Nov 13 01:29:09 2016  reduce to 64415887 relations and 40017949 ideals in 10 passes
  428. Sun Nov 13 01:29:09 2016  max relations containing the same ideal: 18
  429. Sun Nov 13 01:29:22 2016  removing 5851545 relations and 3851545 ideals in 2000000 cliques
  430. Sun Nov 13 01:29:23 2016  commencing in-memory singleton removal
  431. Sun Nov 13 01:29:24 2016  begin with 58564342 relations and 40017949 unique ideals
  432. Sun Nov 13 01:29:36 2016  reduce to 58106854 relations and 35695015 ideals in 9 passes
  433. Sun Nov 13 01:29:36 2016  max relations containing the same ideal: 18
  434. Sun Nov 13 01:29:48 2016  removing 3365558 relations and 2195533 ideals in 1170025 cliques
  435. Sun Nov 13 01:29:49 2016  commencing in-memory singleton removal
  436. Sun Nov 13 01:29:50 2016  begin with 54741296 relations and 35695015 unique ideals
  437. Sun Nov 13 01:30:00 2016  reduce to 54522534 relations and 33275871 ideals in 8 passes
  438. Sun Nov 13 01:30:00 2016  max relations containing the same ideal: 17
  439. Sun Nov 13 01:30:12 2016  relations with 0 large ideals: 5325298
  440. Sun Nov 13 01:30:12 2016  relations with 1 large ideals: 19648977
  441. Sun Nov 13 01:30:12 2016  relations with 2 large ideals: 21234990
  442. Sun Nov 13 01:30:12 2016  relations with 3 large ideals: 7276200
  443. Sun Nov 13 01:30:12 2016  relations with 4 large ideals: 905927
  444. Sun Nov 13 01:30:12 2016  relations with 5 large ideals: 124762
  445. Sun Nov 13 01:30:12 2016  relations with 6 large ideals: 6312
  446. Sun Nov 13 01:30:12 2016  relations with 7+ large ideals: 68
  447. Sun Nov 13 01:30:12 2016  commencing 2-way merge
  448. Sun Nov 13 01:30:25 2016  reduce to 32660317 relation sets and 11413654 unique ideals
  449. Sun Nov 13 01:30:25 2016  commencing full merge
  450. Sun Nov 13 01:31:16 2016  memory use: 1234.3 MB
  451. Sun Nov 13 01:31:18 2016  found 21240562 cycles, need 18312108
  452. Sun Nov 13 01:31:21 2016  weight of 18312108 cycles is about 935225102 (51.07/cycle)
  453. Sun Nov 13 01:31:21 2016  distribution of cycle lengths:
  454. Sun Nov 13 01:31:21 2016  1 relations: 5325298
  455. Sun Nov 13 01:31:21 2016  2 relations: 2681731
  456. Sun Nov 13 01:31:21 2016  3 relations: 2164384
  457. Sun Nov 13 01:31:21 2016  4 relations: 1941999
  458. Sun Nov 13 01:31:21 2016  5 relations: 1760770
  459. Sun Nov 13 01:31:21 2016  6 relations: 1505423
  460. Sun Nov 13 01:31:21 2016  7 relations: 1267290
  461. Sun Nov 13 01:31:21 2016  8 relations: 961913
  462. Sun Nov 13 01:31:21 2016  9 relations: 674366
  463. Sun Nov 13 01:31:21 2016  10+ relations: 28934
  464. Sun Nov 13 01:31:21 2016  heaviest cycle: 11 relations
  465. Sun Nov 13 01:31:22 2016  matrix not dense enough, retrying
  466. Sun Nov 13 01:31:23 2016  reading large ideals from disk
  467. Sun Nov 13 01:33:24 2016  keeping 189861837 ideals with weight <= 30, target excess is 16099062
  468. Sun Nov 13 01:35:28 2016  memory use: 7165.9 MB
  469. Sun Nov 13 01:35:28 2016  commencing in-memory singleton removal
  470. Sun Nov 13 01:35:39 2016  begin with 279934668 relations and 189861837 unique ideals
  471. Sun Nov 13 01:36:48 2016  reduce to 279933896 relations and 189861065 ideals in 6 passes
  472. Sun Nov 13 01:36:48 2016  max relations containing the same ideal: 30
  473. Sun Nov 13 01:37:46 2016  removing 10978280 relations and 8978280 ideals in 2000000 cliques
  474. Sun Nov 13 01:37:50 2016  commencing in-memory singleton removal
  475. Sun Nov 13 01:37:57 2016  begin with 268955616 relations and 189861065 unique ideals
  476. Sun Nov 13 01:38:58 2016  reduce to 268604701 relations and 180528479 ideals in 7 passes
  477. Sun Nov 13 01:38:58 2016  max relations containing the same ideal: 30
  478. Sun Nov 13 01:39:49 2016  removing 8249352 relations and 6249352 ideals in 2000000 cliques
  479. Sun Nov 13 01:39:52 2016  commencing in-memory singleton removal
  480. Sun Nov 13 01:39:59 2016  begin with 260355349 relations and 180528479 unique ideals
  481. Sun Nov 13 01:40:57 2016  reduce to 260123091 relations and 174044918 ideals in 7 passes
  482. Sun Nov 13 01:40:57 2016  max relations containing the same ideal: 30
  483. Sun Nov 13 01:41:46 2016  removing 7441691 relations and 5441691 ideals in 2000000 cliques
  484. Sun Nov 13 01:41:50 2016  commencing in-memory singleton removal
  485. Sun Nov 13 01:41:56 2016  begin with 252681400 relations and 174044918 unique ideals
  486. Sun Nov 13 01:42:44 2016  reduce to 252483091 relations and 168403357 ideals in 6 passes
  487. Sun Nov 13 01:42:44 2016  max relations containing the same ideal: 30
  488. Sun Nov 13 01:43:32 2016  removing 7023780 relations and 5023780 ideals in 2000000 cliques
  489. Sun Nov 13 01:43:35 2016  commencing in-memory singleton removal
  490. Sun Nov 13 01:43:42 2016  begin with 245459311 relations and 168403357 unique ideals
  491. Sun Nov 13 01:44:36 2016  reduce to 245279821 relations and 163198594 ideals in 7 passes
  492. Sun Nov 13 01:44:36 2016  max relations containing the same ideal: 30
  493. Sun Nov 13 01:45:23 2016  removing 6711661 relations and 4711661 ideals in 2000000 cliques
  494. Sun Nov 13 01:45:26 2016  commencing in-memory singleton removal
  495. Sun Nov 13 01:45:32 2016  begin with 238568160 relations and 163198594 unique ideals
  496. Sun Nov 13 01:46:24 2016  reduce to 238396689 relations and 158314030 ideals in 7 passes
  497. Sun Nov 13 01:46:24 2016  max relations containing the same ideal: 30
  498. Sun Nov 13 01:47:10 2016  removing 6516571 relations and 4516571 ideals in 2000000 cliques
  499. Sun Nov 13 01:47:13 2016  commencing in-memory singleton removal
  500. Sun Nov 13 01:47:20 2016  begin with 231880118 relations and 158314030 unique ideals
  501. Sun Nov 13 01:48:10 2016  reduce to 231719119 relations and 153635019 ideals in 7 passes
  502. Sun Nov 13 01:48:10 2016  max relations containing the same ideal: 30
  503. Sun Nov 13 01:48:55 2016  removing 6384242 relations and 4384242 ideals in 2000000 cliques
  504. Sun Nov 13 01:48:58 2016  commencing in-memory singleton removal
  505. Sun Nov 13 01:49:04 2016  begin with 225334877 relations and 153635019 unique ideals
  506. Sun Nov 13 01:49:46 2016  reduce to 225180798 relations and 149095345 ideals in 6 passes
  507. Sun Nov 13 01:49:46 2016  max relations containing the same ideal: 30
  508. Sun Nov 13 01:50:29 2016  removing 6259116 relations and 4259116 ideals in 2000000 cliques
  509. Sun Nov 13 01:50:33 2016  commencing in-memory singleton removal
  510. Sun Nov 13 01:50:38 2016  begin with 218921682 relations and 149095345 unique ideals
  511. Sun Nov 13 01:51:19 2016  reduce to 218770851 relations and 144683990 ideals in 6 passes
  512. Sun Nov 13 01:51:19 2016  max relations containing the same ideal: 30
  513. Sun Nov 13 01:52:01 2016  removing 6125040 relations and 4125040 ideals in 2000000 cliques
  514. Sun Nov 13 01:52:04 2016  commencing in-memory singleton removal
  515. Sun Nov 13 01:52:10 2016  begin with 212645811 relations and 144683990 unique ideals
  516. Sun Nov 13 01:52:56 2016  reduce to 212494484 relations and 140406104 ideals in 7 passes
  517. Sun Nov 13 01:52:56 2016  max relations containing the same ideal: 30
  518. Sun Nov 13 01:53:37 2016  removing 6086378 relations and 4086378 ideals in 2000000 cliques
  519. Sun Nov 13 01:53:40 2016  commencing in-memory singleton removal
  520. Sun Nov 13 01:53:45 2016  begin with 206408106 relations and 140406104 unique ideals
  521. Sun Nov 13 01:54:23 2016  reduce to 206260872 relations and 136170996 ideals in 6 passes
  522. Sun Nov 13 01:54:23 2016  max relations containing the same ideal: 30
  523. Sun Nov 13 01:55:04 2016  removing 6002325 relations and 4002325 ideals in 2000000 cliques
  524. Sun Nov 13 01:55:07 2016  commencing in-memory singleton removal
  525. Sun Nov 13 01:55:12 2016  begin with 200258547 relations and 136170996 unique ideals
  526. Sun Nov 13 01:55:48 2016  reduce to 200111569 relations and 132020112 ideals in 6 passes
  527. Sun Nov 13 01:55:48 2016  max relations containing the same ideal: 30
  528. Sun Nov 13 01:56:28 2016  removing 5911138 relations and 3911138 ideals in 2000000 cliques
  529. Sun Nov 13 01:56:31 2016  commencing in-memory singleton removal
  530. Sun Nov 13 01:56:36 2016  begin with 194200431 relations and 132020112 unique ideals
  531. Sun Nov 13 01:57:11 2016  reduce to 194052527 relations and 127959430 ideals in 6 passes
  532. Sun Nov 13 01:57:11 2016  max relations containing the same ideal: 30
  533. Sun Nov 13 01:57:49 2016  removing 5922500 relations and 3922501 ideals in 2000000 cliques
  534. Sun Nov 13 01:57:52 2016  commencing in-memory singleton removal
  535. Sun Nov 13 01:57:57 2016  begin with 188130027 relations and 127959430 unique ideals
  536. Sun Nov 13 01:58:37 2016  reduce to 187983320 relations and 123888520 ideals in 7 passes
  537. Sun Nov 13 01:58:37 2016  max relations containing the same ideal: 30
  538. Sun Nov 13 01:59:14 2016  removing 5848208 relations and 3848208 ideals in 2000000 cliques
  539. Sun Nov 13 01:59:17 2016  commencing in-memory singleton removal
  540. Sun Nov 13 01:59:21 2016  begin with 182135112 relations and 123888520 unique ideals
  541. Sun Nov 13 01:59:59 2016  reduce to 181983128 relations and 119886514 ideals in 7 passes
  542. Sun Nov 13 01:59:59 2016  max relations containing the same ideal: 30
  543. Sun Nov 13 02:00:35 2016  removing 5790042 relations and 3790042 ideals in 2000000 cliques
  544. Sun Nov 13 02:00:38 2016  commencing in-memory singleton removal
  545. Sun Nov 13 02:00:42 2016  begin with 176193086 relations and 119886514 unique ideals
  546. Sun Nov 13 02:01:19 2016  reduce to 176042952 relations and 115944414 ideals in 7 passes
  547. Sun Nov 13 02:01:19 2016  max relations containing the same ideal: 29
  548. Sun Nov 13 02:01:54 2016  removing 5808201 relations and 3808201 ideals in 2000000 cliques
  549. Sun Nov 13 02:01:57 2016  commencing in-memory singleton removal
  550. Sun Nov 13 02:02:01 2016  begin with 170234751 relations and 115944414 unique ideals
  551. Sun Nov 13 02:02:32 2016  reduce to 170085267 relations and 111984690 ideals in 6 passes
  552. Sun Nov 13 02:02:32 2016  max relations containing the same ideal: 29
  553. Sun Nov 13 02:03:06 2016  removing 5733886 relations and 3733886 ideals in 2000000 cliques
  554. Sun Nov 13 02:03:08 2016  commencing in-memory singleton removal
  555. Sun Nov 13 02:03:12 2016  begin with 164351381 relations and 111984690 unique ideals
  556. Sun Nov 13 02:03:41 2016  reduce to 164192813 relations and 108090147 ideals in 6 passes
  557. Sun Nov 13 02:03:41 2016  max relations containing the same ideal: 29
  558. Sun Nov 13 02:04:14 2016  removing 5707984 relations and 3707984 ideals in 2000000 cliques
  559. Sun Nov 13 02:04:17 2016  commencing in-memory singleton removal
  560. Sun Nov 13 02:04:21 2016  begin with 158484829 relations and 108090147 unique ideals
  561. Sun Nov 13 02:04:49 2016  reduce to 158320214 relations and 104215200 ideals in 6 passes
  562. Sun Nov 13 02:04:49 2016  max relations containing the same ideal: 29
  563. Sun Nov 13 02:05:21 2016  removing 5675813 relations and 3675813 ideals in 2000000 cliques
  564. Sun Nov 13 02:05:23 2016  commencing in-memory singleton removal
  565. Sun Nov 13 02:05:27 2016  begin with 152644401 relations and 104215200 unique ideals
  566. Sun Nov 13 02:05:58 2016  reduce to 152479839 relations and 100372373 ideals in 7 passes
  567. Sun Nov 13 02:05:58 2016  max relations containing the same ideal: 29
  568. Sun Nov 13 02:06:29 2016  removing 5717315 relations and 3717315 ideals in 2000000 cliques
  569. Sun Nov 13 02:06:31 2016  commencing in-memory singleton removal
  570. Sun Nov 13 02:06:35 2016  begin with 146762524 relations and 100372373 unique ideals
  571. Sun Nov 13 02:07:00 2016  reduce to 146595446 relations and 96485451 ideals in 6 passes
  572. Sun Nov 13 02:07:00 2016  max relations containing the same ideal: 29
  573. Sun Nov 13 02:07:30 2016  removing 5672352 relations and 3672352 ideals in 2000000 cliques
  574. Sun Nov 13 02:07:33 2016  commencing in-memory singleton removal
  575. Sun Nov 13 02:07:36 2016  begin with 140923094 relations and 96485451 unique ideals
  576. Sun Nov 13 02:08:04 2016  reduce to 140755511 relations and 92642809 ideals in 7 passes
  577. Sun Nov 13 02:08:04 2016  max relations containing the same ideal: 28
  578. Sun Nov 13 02:08:33 2016  removing 5685592 relations and 3685592 ideals in 2000000 cliques
  579. Sun Nov 13 02:08:35 2016  commencing in-memory singleton removal
  580. Sun Nov 13 02:08:38 2016  begin with 135069919 relations and 92642809 unique ideals
  581. Sun Nov 13 02:09:09 2016  reduce to 134897922 relations and 88782426 ideals in 8 passes
  582. Sun Nov 13 02:09:09 2016  max relations containing the same ideal: 27
  583. Sun Nov 13 02:09:36 2016  removing 5658322 relations and 3658322 ideals in 2000000 cliques
  584. Sun Nov 13 02:09:38 2016  commencing in-memory singleton removal
  585. Sun Nov 13 02:09:41 2016  begin with 129239600 relations and 88782426 unique ideals
  586. Sun Nov 13 02:10:07 2016  reduce to 129060748 relations and 84942301 ideals in 7 passes
  587. Sun Nov 13 02:10:07 2016  max relations containing the same ideal: 27
  588. Sun Nov 13 02:10:32 2016  removing 5609526 relations and 3609526 ideals in 2000000 cliques
  589. Sun Nov 13 02:10:34 2016  commencing in-memory singleton removal
  590. Sun Nov 13 02:10:37 2016  begin with 123451222 relations and 84942301 unique ideals
  591. Sun Nov 13 02:10:58 2016  reduce to 123251233 relations and 81129185 ideals in 6 passes
  592. Sun Nov 13 02:10:58 2016  max relations containing the same ideal: 27
  593. Sun Nov 13 02:11:22 2016  removing 5607644 relations and 3607644 ideals in 2000000 cliques
  594. Sun Nov 13 02:11:25 2016  commencing in-memory singleton removal
  595. Sun Nov 13 02:11:27 2016  begin with 117643589 relations and 81129185 unique ideals
  596. Sun Nov 13 02:11:54 2016  reduce to 117433381 relations and 77307490 ideals in 8 passes
  597. Sun Nov 13 02:11:54 2016  max relations containing the same ideal: 26
  598. Sun Nov 13 02:12:17 2016  removing 5672491 relations and 3672491 ideals in 2000000 cliques
  599. Sun Nov 13 02:12:19 2016  commencing in-memory singleton removal
  600. Sun Nov 13 02:12:22 2016  begin with 111760890 relations and 77307490 unique ideals
  601. Sun Nov 13 02:12:43 2016  reduce to 111554851 relations and 73425074 ideals in 7 passes
  602. Sun Nov 13 02:12:43 2016  max relations containing the same ideal: 26
  603. Sun Nov 13 02:13:06 2016  removing 5672175 relations and 3672175 ideals in 2000000 cliques
  604. Sun Nov 13 02:13:08 2016  commencing in-memory singleton removal
  605. Sun Nov 13 02:13:10 2016  begin with 105882676 relations and 73425074 unique ideals
  606. Sun Nov 13 02:13:33 2016  reduce to 105670765 relations and 69536859 ideals in 8 passes
  607. Sun Nov 13 02:13:33 2016  max relations containing the same ideal: 25
  608. Sun Nov 13 02:13:54 2016  removing 5691717 relations and 3691717 ideals in 2000000 cliques
  609. Sun Nov 13 02:13:56 2016  commencing in-memory singleton removal
  610. Sun Nov 13 02:13:58 2016  begin with 99979048 relations and 69536859 unique ideals
  611. Sun Nov 13 02:14:17 2016  reduce to 99759492 relations and 65621231 ideals in 7 passes
  612. Sun Nov 13 02:14:17 2016  max relations containing the same ideal: 24
  613. Sun Nov 13 02:14:38 2016  removing 5624634 relations and 3624634 ideals in 2000000 cliques
  614. Sun Nov 13 02:14:39 2016  commencing in-memory singleton removal
  615. Sun Nov 13 02:14:41 2016  begin with 94134858 relations and 65621231 unique ideals
  616. Sun Nov 13 02:14:59 2016  reduce to 93873132 relations and 61729325 ideals in 7 passes
  617. Sun Nov 13 02:14:59 2016  max relations containing the same ideal: 24
  618. Sun Nov 13 02:15:18 2016  removing 5715900 relations and 3715900 ideals in 2000000 cliques
  619. Sun Nov 13 02:15:20 2016  commencing in-memory singleton removal
  620. Sun Nov 13 02:15:22 2016  begin with 88157232 relations and 61729325 unique ideals
  621. Sun Nov 13 02:15:38 2016  reduce to 87900077 relations and 57750438 ideals in 7 passes
  622. Sun Nov 13 02:15:38 2016  max relations containing the same ideal: 24
  623. Sun Nov 13 02:15:56 2016  removing 5725585 relations and 3725585 ideals in 2000000 cliques
  624. Sun Nov 13 02:15:58 2016  commencing in-memory singleton removal
  625. Sun Nov 13 02:16:00 2016  begin with 82174492 relations and 57750438 unique ideals
  626. Sun Nov 13 02:16:17 2016  reduce to 81897919 relations and 53741721 ideals in 8 passes
  627. Sun Nov 13 02:16:17 2016  max relations containing the same ideal: 23
  628. Sun Nov 13 02:16:34 2016  removing 5686762 relations and 3686762 ideals in 2000000 cliques
  629. Sun Nov 13 02:16:35 2016  commencing in-memory singleton removal
  630. Sun Nov 13 02:16:37 2016  begin with 76211157 relations and 53741721 unique ideals
  631. Sun Nov 13 02:16:51 2016  reduce to 75887702 relations and 49723206 ideals in 7 passes
  632. Sun Nov 13 02:16:51 2016  max relations containing the same ideal: 23
  633. Sun Nov 13 02:17:06 2016  removing 5777061 relations and 3777061 ideals in 2000000 cliques
  634. Sun Nov 13 02:17:08 2016  commencing in-memory singleton removal
  635. Sun Nov 13 02:17:10 2016  begin with 70110641 relations and 49723206 unique ideals
  636. Sun Nov 13 02:17:24 2016  reduce to 69767174 relations and 45593486 ideals in 8 passes
  637. Sun Nov 13 02:17:24 2016  max relations containing the same ideal: 22
  638. Sun Nov 13 02:17:38 2016  removing 5847332 relations and 3847332 ideals in 2000000 cliques
  639. Sun Nov 13 02:17:40 2016  commencing in-memory singleton removal
  640. Sun Nov 13 02:17:41 2016  begin with 63919842 relations and 45593486 unique ideals
  641. Sun Nov 13 02:17:52 2016  reduce to 63542271 relations and 41357738 ideals in 7 passes
  642. Sun Nov 13 02:17:52 2016  max relations containing the same ideal: 20
  643. Sun Nov 13 02:18:05 2016  removing 5835399 relations and 3835399 ideals in 2000000 cliques
  644. Sun Nov 13 02:18:07 2016  commencing in-memory singleton removal
  645. Sun Nov 13 02:18:08 2016  begin with 57706872 relations and 41357738 unique ideals
  646. Sun Nov 13 02:18:21 2016  reduce to 57271714 relations and 37073277 ideals in 9 passes
  647. Sun Nov 13 02:18:21 2016  max relations containing the same ideal: 19
  648. Sun Nov 13 02:18:33 2016  removing 4547941 relations and 3024416 ideals in 1523525 cliques
  649. Sun Nov 13 02:18:34 2016  commencing in-memory singleton removal
  650. Sun Nov 13 02:18:35 2016  begin with 52723773 relations and 37073277 unique ideals
  651. Sun Nov 13 02:18:46 2016  reduce to 52384552 relations and 33699369 ideals in 9 passes
  652. Sun Nov 13 02:18:46 2016  max relations containing the same ideal: 19
  653. Sun Nov 13 02:18:57 2016  removing 31229 relations and 20958 ideals in 10271 cliques
  654. Sun Nov 13 02:18:58 2016  commencing in-memory singleton removal
  655. Sun Nov 13 02:18:59 2016  begin with 52353323 relations and 33699369 unique ideals
  656. Sun Nov 13 02:19:04 2016  reduce to 52353225 relations and 33678312 ideals in 4 passes
  657. Sun Nov 13 02:19:04 2016  max relations containing the same ideal: 19
  658. Sun Nov 13 02:19:06 2016  relations with 0 large ideals: 3871878
  659. Sun Nov 13 02:19:06 2016  relations with 1 large ideals: 15857825
  660. Sun Nov 13 02:19:06 2016  relations with 2 large ideals: 20576490
  661. Sun Nov 13 02:19:06 2016  relations with 3 large ideals: 9766363
  662. Sun Nov 13 02:19:06 2016  relations with 4 large ideals: 1950725
  663. Sun Nov 13 02:19:06 2016  relations with 5 large ideals: 303153
  664. Sun Nov 13 02:19:06 2016  relations with 6 large ideals: 25961
  665. Sun Nov 13 02:19:06 2016  relations with 7+ large ideals: 830
  666. Sun Nov 13 02:19:06 2016  commencing 2-way merge
  667. Sun Nov 13 02:19:19 2016  reduce to 31841467 relation sets and 13166554 unique ideals
  668. Sun Nov 13 02:19:19 2016  commencing full merge
  669. Sun Nov 13 02:20:37 2016  memory use: 1373.9 MB
  670. Sun Nov 13 02:20:39 2016  found 18506719 cycles, need 16099262
  671. Sun Nov 13 02:20:41 2016  weight of 16099262 cycles is about 1198718865 (74.46/cycle)
  672. Sun Nov 13 02:20:41 2016  distribution of cycle lengths:
  673. Sun Nov 13 02:20:41 2016  1 relations: 3871878
  674. Sun Nov 13 02:20:41 2016  2 relations: 1814928
  675. Sun Nov 13 02:20:41 2016  3 relations: 1397671
  676. Sun Nov 13 02:20:41 2016  4 relations: 1230778
  677. Sun Nov 13 02:20:41 2016  5 relations: 1155189
  678. Sun Nov 13 02:20:41 2016  6 relations: 1075438
  679. Sun Nov 13 02:20:41 2016  7 relations: 1005960
  680. Sun Nov 13 02:20:41 2016  8 relations: 920614
  681. Sun Nov 13 02:20:41 2016  9 relations: 835132
  682. Sun Nov 13 02:20:41 2016  10+ relations: 2791674
  683. Sun Nov 13 02:20:41 2016  heaviest cycle: 17 relations
  684. Sun Nov 13 02:20:42 2016  commencing cycle optimization
  685. Sun Nov 13 02:20:56 2016  start with 83504683 relations
  686. Sun Nov 13 02:22:04 2016  pruned 6861799 relations
  687. Sun Nov 13 02:22:04 2016  memory use: 2552.8 MB
  688. Sun Nov 13 02:22:04 2016  distribution of cycle lengths:
  689. Sun Nov 13 02:22:04 2016  1 relations: 3871878
  690. Sun Nov 13 02:22:04 2016  2 relations: 1895012
  691. Sun Nov 13 02:22:04 2016  3 relations: 1508567
  692. Sun Nov 13 02:22:04 2016  4 relations: 1360344
  693. Sun Nov 13 02:22:04 2016  5 relations: 1313791
  694. Sun Nov 13 02:22:04 2016  6 relations: 1238577
  695. Sun Nov 13 02:22:04 2016  7 relations: 1156868
  696. Sun Nov 13 02:22:04 2016  8 relations: 1020905
  697. Sun Nov 13 02:22:04 2016  9 relations: 870758
  698. Sun Nov 13 02:22:04 2016  10+ relations: 1862562
  699. Sun Nov 13 02:22:04 2016  heaviest cycle: 17 relations
  700. Sun Nov 13 02:22:12 2016  RelProcTime: 17204
  701. Sun Nov 13 02:22:12 2016  
  702. Sun Nov 13 02:22:12 2016  commencing linear algebra
  703. Sun Nov 13 02:22:24 2016  read 16099262 cycles
  704. Sun Nov 13 02:22:40 2016  cycles contain 43459799 unique relations
  705. Sun Nov 13 02:27:05 2016  read 43459799 relations
  706. Sun Nov 13 02:27:51 2016  using 20 quadratic characters above 4294917295
  707. Sun Nov 13 02:30:25 2016  building initial matrix
  708. Sun Nov 13 02:35:04 2016  memory use: 5634.8 MB
  709. Sun Nov 13 02:35:08 2016  read 16099262 cycles
  710. Sun Nov 13 02:35:10 2016  matrix is 16092723 x 16099262 (4734.8 MB) with weight 1383027922 (85.91/col)
  711. Sun Nov 13 02:35:10 2016  sparse part has weight 1064097584 (66.10/col)
  712. Sun Nov 13 02:38:22 2016  filtering completed in 3 passes
  713. Sun Nov 13 02:38:24 2016  matrix is 15961206 x 15961406 (4710.6 MB) with weight 1375676409 (86.19/col)
  714. Sun Nov 13 02:38:24 2016  sparse part has weight 1059291513 (66.37/col)
  715. Sun Nov 13 02:38:50 2016  matrix starts at (0, 0)
  716. Sun Nov 13 02:38:52 2016  matrix is 15961206 x 15961406 (4710.6 MB) with weight 1375676409 (86.19/col)
  717. Sun Nov 13 02:38:52 2016  sparse part has weight 1059291513 (66.37/col)
  718. Sun Nov 13 02:38:52 2016  saving the first 48 matrix rows for later
  719. Sun Nov 13 02:38:53 2016  matrix includes 64 packed rows
  720. Sun Nov 13 02:38:55 2016  matrix is 15961158 x 15961406 (4497.9 MB) with weight 1100228074 (68.93/col)
  721. Sun Nov 13 02:38:55 2016  sparse part has weight 1019488998 (63.87/col)
  722. Sun Nov 13 02:38:55 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  723. Sun Nov 13 02:39:42 2016  commencing Lanczos iteration (4 threads)
  724. Sun Nov 13 02:39:42 2016  memory use: 3753.4 MB
  725. Sun Nov 13 02:40:38 2016  linear algebra at 0.0%, ETA 157h48m
  726. Sun Nov 13 02:40:57 2016  checkpointing every 100000 dimensions
  727. Sat Nov 19 04:59:16 2016  lanczos halted after 252410 iterations (dim = 15961148)
  728. Sat Nov 19 04:59:37 2016  recovered 34 nontrivial dependencies
  729. Sat Nov 19 04:59:37 2016  BLanczosTime: 527845
  730. Sat Nov 19 04:59:37 2016  
  731. Sat Nov 19 04:59:37 2016  commencing square root phase
  732. Sat Nov 19 04:59:37 2016  handling dependencies 1 to 64
  733. Sat Nov 19 04:59:37 2016  reading relations for dependency 1
  734. Sat Nov 19 04:59:39 2016  read 7983296 cycles
  735. Sat Nov 19 04:59:46 2016  cycles contain 21657188 unique relations
  736. Sat Nov 19 05:02:10 2016  read 21657188 relations
  737. Sat Nov 19 05:03:23 2016  multiplying 21657188 relations
  738. Sat Nov 19 05:15:47 2016  multiply complete, coefficients have about 644.32 million bits
  739. Sat Nov 19 05:15:49 2016  initial square root is modulo 603401
  740. Sat Nov 19 05:30:09 2016  sqrtTime: 1832
  741. Sat Nov 19 05:30:09 2016  p70 factor: 1480269104689163239029592198010997767620457224409402795726546063264453
  742. Sat Nov 19 05:30:09 2016  p120 factor: 237882193114524091432721117798346334140130613730333661987370007057781725807841919063771730620338410613815297309522755117
  743. Sat Nov 19 05:30:09 2016  elapsed time 151:54:42
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