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L1821

CarlosPinho Jun 9th, 2016 27 Never
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ENDING IN00days00hours00mins00secs
 
  1. Thu Jun 27 20:08:35 2013  
  2. Thu Jun 27 20:08:35 2013  
  3. Thu Jun 27 20:08:35 2013  Msieve v. 1.52 (SVN 900)
  4. Thu Jun 27 20:08:35 2013  random seeds: e7ced792 635cee67
  5. Thu Jun 27 20:08:35 2013  factoring 1492191619325108507723471588437925140042914135922743641871478655529094278739663793640035757175821348474470666052486943970351473153957129226578291137621605445241366686467265926434337338503110817074436498273691849970314009 (220 digits)
  6. Thu Jun 27 20:08:37 2013  no P-1/P+1/ECM available, skipping
  7. Thu Jun 27 20:08:37 2013  commencing number field sieve (220-digit input)
  8. Thu Jun 27 20:08:37 2013  R0: -1188518561323126046432205871807859915657177
  9. Thu Jun 27 20:08:37 2013  R1: 734544867157818093234908902110449296423351
  10. Thu Jun 27 20:08:37 2013  A0: 6
  11. Thu Jun 27 20:08:37 2013  A1: -27
  12. Thu Jun 27 20:08:37 2013  A2: 45
  13. Thu Jun 27 20:08:37 2013  A3: -15
  14. Thu Jun 27 20:08:37 2013  A4: 30
  15. Thu Jun 27 20:08:37 2013  A5: 3
  16. Thu Jun 27 20:08:37 2013  A6: 4
  17. Thu Jun 27 20:08:37 2013  skew 1.00, size 1.716e-12, alpha 0.306, combined = 1.730e-13 rroots = 0
  18. Thu Jun 27 20:08:37 2013  
  19. Thu Jun 27 20:08:37 2013  commencing relation filtering
  20. Thu Jun 27 20:08:37 2013  estimated available RAM is 15929.3 MB
  21. Thu Jun 27 20:08:37 2013  commencing duplicate removal, pass 1
  22.   { 14216 'error reading relation' messages elided }
  23. Thu Jun 27 21:07:39 2013  skipped 716 relations with b > 2^32
  24. Thu Jun 27 21:07:39 2013  found 81685876 hash collisions in 344814749 relations
  25. Thu Jun 27 21:08:00 2013  added 812294 free relations
  26. Thu Jun 27 21:08:00 2013  commencing duplicate removal, pass 2
  27. Thu Jun 27 21:11:29 2013  found 86239534 duplicates and 259387509 unique relations
  28. Thu Jun 27 21:11:29 2013  memory use: 2387.0 MB
  29. Thu Jun 27 21:11:29 2013  reading ideals above 150011904
  30. Thu Jun 27 21:11:29 2013  commencing singleton removal, initial pass
  31. Thu Jun 27 22:01:29 2013  memory use: 5512.0 MB
  32. Thu Jun 27 22:01:30 2013  reading all ideals from disk
  33. Thu Jun 27 22:01:38 2013  memory use: 4602.5 MB
  34. Thu Jun 27 22:01:54 2013  commencing in-memory singleton removal
  35. Thu Jun 27 22:02:10 2013  begin with 259387509 relations and 174896320 unique ideals
  36. Thu Jun 27 22:05:27 2013  reduce to 214919620 relations and 127987515 ideals in 10 passes
  37. Thu Jun 27 22:05:27 2013  max relations containing the same ideal: 34
  38. Thu Jun 27 22:05:43 2013  reading ideals above 720000
  39. Thu Jun 27 22:05:44 2013  commencing singleton removal, initial pass
  40. Thu Jun 27 22:58:04 2013  memory use: 3012.0 MB
  41. Thu Jun 27 22:58:05 2013  reading large ideals from disk
  42. Thu Jun 27 23:01:18 2013  keeping 130569333 ideals with weight <= 20, target excess is 14306991
  43. Thu Jun 27 23:04:38 2013  memory use: 5109.8 MB
  44. Thu Jun 27 23:04:38 2013  commencing in-memory singleton removal
  45. Thu Jun 27 23:04:51 2013  begin with 214919620 relations and 130569333 unique ideals
  46. Thu Jun 27 23:05:47 2013  reduce to 214919535 relations and 130569248 ideals in 3 passes
  47. Thu Jun 27 23:05:47 2013  max relations containing the same ideal: 20
  48. Thu Jun 27 23:06:56 2013  removing 7512810 relations and 5512810 ideals in 2000000 cliques
  49. Thu Jun 27 23:07:00 2013  commencing in-memory singleton removal
  50. Thu Jun 27 23:07:13 2013  begin with 207406725 relations and 130569248 unique ideals
  51. Thu Jun 27 23:09:18 2013  reduce to 207127555 relations and 124773583 ideals in 7 passes
  52. Thu Jun 27 23:09:18 2013  max relations containing the same ideal: 20
  53. Thu Jun 27 23:10:23 2013  removing 6017954 relations and 4017954 ideals in 2000000 cliques
  54. Thu Jun 27 23:10:28 2013  commencing in-memory singleton removal
  55. Thu Jun 27 23:10:39 2013  begin with 201109601 relations and 124773583 unique ideals
  56. Thu Jun 27 23:12:20 2013  reduce to 200927329 relations and 120571310 ideals in 6 passes
  57. Thu Jun 27 23:12:20 2013  max relations containing the same ideal: 20
  58. Thu Jun 27 23:13:23 2013  removing 5632272 relations and 3632272 ideals in 2000000 cliques
  59. Thu Jun 27 23:13:27 2013  commencing in-memory singleton removal
  60. Thu Jun 27 23:13:38 2013  begin with 195295057 relations and 120571310 unique ideals
  61. Thu Jun 27 23:15:17 2013  reduce to 195141915 relations and 116784197 ideals in 6 passes
  62. Thu Jun 27 23:15:17 2013  max relations containing the same ideal: 20
  63. Thu Jun 27 23:16:18 2013  removing 5439899 relations and 3439899 ideals in 2000000 cliques
  64. Thu Jun 27 23:16:23 2013  commencing in-memory singleton removal
  65. Thu Jun 27 23:16:33 2013  begin with 189702016 relations and 116784197 unique ideals
  66. Thu Jun 27 23:18:06 2013  reduce to 189567882 relations and 113208737 ideals in 6 passes
  67. Thu Jun 27 23:18:06 2013  max relations containing the same ideal: 20
  68. Thu Jun 27 23:19:06 2013  removing 5284276 relations and 3284276 ideals in 2000000 cliques
  69. Thu Jun 27 23:19:10 2013  commencing in-memory singleton removal
  70. Thu Jun 27 23:19:20 2013  begin with 184283606 relations and 113208737 unique ideals
  71. Thu Jun 27 23:20:50 2013  reduce to 184156145 relations and 109795616 ideals in 6 passes
  72. Thu Jun 27 23:20:50 2013  max relations containing the same ideal: 20
  73. Thu Jun 27 23:21:48 2013  removing 5208002 relations and 3208002 ideals in 2000000 cliques
  74. Thu Jun 27 23:21:52 2013  commencing in-memory singleton removal
  75. Thu Jun 27 23:22:02 2013  begin with 178948143 relations and 109795616 unique ideals
  76. Thu Jun 27 23:23:29 2013  reduce to 178829414 relations and 106467569 ideals in 6 passes
  77. Thu Jun 27 23:23:29 2013  max relations containing the same ideal: 20
  78. Thu Jun 27 23:24:25 2013  removing 5123807 relations and 3123807 ideals in 2000000 cliques
  79. Thu Jun 27 23:24:29 2013  commencing in-memory singleton removal
  80. Thu Jun 27 23:24:38 2013  begin with 173705607 relations and 106467569 unique ideals
  81. Thu Jun 27 23:26:01 2013  reduce to 173593404 relations and 103230259 ideals in 6 passes
  82. Thu Jun 27 23:26:01 2013  max relations containing the same ideal: 20
  83. Thu Jun 27 23:26:55 2013  removing 5054051 relations and 3054051 ideals in 2000000 cliques
  84. Thu Jun 27 23:26:59 2013  commencing in-memory singleton removal
  85. Thu Jun 27 23:27:08 2013  begin with 168539353 relations and 103230259 unique ideals
  86. Thu Jun 27 23:28:27 2013  reduce to 168424434 relations and 100059877 ideals in 6 passes
  87. Thu Jun 27 23:28:27 2013  max relations containing the same ideal: 20
  88. Thu Jun 27 23:29:19 2013  removing 5024955 relations and 3024955 ideals in 2000000 cliques
  89. Thu Jun 27 23:29:23 2013  commencing in-memory singleton removal
  90. Thu Jun 27 23:29:32 2013  begin with 163399479 relations and 100059877 unique ideals
  91. Thu Jun 27 23:31:01 2013  reduce to 163291833 relations and 96925951 ideals in 7 passes
  92. Thu Jun 27 23:31:01 2013  max relations containing the same ideal: 20
  93. Thu Jun 27 23:31:52 2013  removing 4974371 relations and 2974371 ideals in 2000000 cliques
  94. Thu Jun 27 23:31:56 2013  commencing in-memory singleton removal
  95. Thu Jun 27 23:32:04 2013  begin with 158317462 relations and 96925951 unique ideals
  96. Thu Jun 27 23:33:16 2013  reduce to 158213456 relations and 93846284 ideals in 6 passes
  97. Thu Jun 27 23:33:16 2013  max relations containing the same ideal: 20
  98. Thu Jun 27 23:34:04 2013  removing 4903101 relations and 2903101 ideals in 2000000 cliques
  99. Thu Jun 27 23:34:08 2013  commencing in-memory singleton removal
  100. Thu Jun 27 23:34:15 2013  begin with 153310355 relations and 93846284 unique ideals
  101. Thu Jun 27 23:35:25 2013  reduce to 153191875 relations and 90823092 ideals in 6 passes
  102. Thu Jun 27 23:35:25 2013  max relations containing the same ideal: 20
  103. Thu Jun 27 23:36:11 2013  removing 4917060 relations and 2917060 ideals in 2000000 cliques
  104. Thu Jun 27 23:36:15 2013  commencing in-memory singleton removal
  105. Thu Jun 27 23:36:22 2013  begin with 148274815 relations and 90823092 unique ideals
  106. Thu Jun 27 23:37:17 2013  reduce to 148168112 relations and 87797883 ideals in 5 passes
  107. Thu Jun 27 23:37:17 2013  max relations containing the same ideal: 20
  108. Thu Jun 27 23:38:02 2013  removing 4892275 relations and 2892275 ideals in 2000000 cliques
  109. Thu Jun 27 23:38:06 2013  commencing in-memory singleton removal
  110. Thu Jun 27 23:38:13 2013  begin with 143275837 relations and 87797883 unique ideals
  111. Thu Jun 27 23:39:05 2013  reduce to 143168920 relations and 84797273 ideals in 5 passes
  112. Thu Jun 27 23:39:05 2013  max relations containing the same ideal: 20
  113. Thu Jun 27 23:39:49 2013  removing 4852841 relations and 2852841 ideals in 2000000 cliques
  114. Thu Jun 27 23:39:52 2013  commencing in-memory singleton removal
  115. Thu Jun 27 23:39:59 2013  begin with 138316079 relations and 84797273 unique ideals
  116. Thu Jun 27 23:40:49 2013  reduce to 138205546 relations and 81832341 ideals in 5 passes
  117. Thu Jun 27 23:40:49 2013  max relations containing the same ideal: 20
  118. Thu Jun 27 23:41:31 2013  removing 4840053 relations and 2840053 ideals in 2000000 cliques
  119. Thu Jun 27 23:41:34 2013  commencing in-memory singleton removal
  120. Thu Jun 27 23:41:40 2013  begin with 133365493 relations and 81832341 unique ideals
  121. Thu Jun 27 23:42:28 2013  reduce to 133255637 relations and 78880822 ideals in 5 passes
  122. Thu Jun 27 23:42:28 2013  max relations containing the same ideal: 20
  123. Thu Jun 27 23:43:09 2013  removing 4808479 relations and 2808479 ideals in 2000000 cliques
  124. Thu Jun 27 23:43:12 2013  commencing in-memory singleton removal
  125. Thu Jun 27 23:43:18 2013  begin with 128447158 relations and 78880822 unique ideals
  126. Thu Jun 27 23:44:12 2013  reduce to 128328117 relations and 75951435 ideals in 6 passes
  127. Thu Jun 27 23:44:12 2013  max relations containing the same ideal: 20
  128. Thu Jun 27 23:44:50 2013  removing 4810808 relations and 2810808 ideals in 2000000 cliques
  129. Thu Jun 27 23:44:53 2013  commencing in-memory singleton removal
  130. Thu Jun 27 23:44:59 2013  begin with 123517309 relations and 75951435 unique ideals
  131. Thu Jun 27 23:45:50 2013  reduce to 123396475 relations and 73017856 ideals in 6 passes
  132. Thu Jun 27 23:45:50 2013  max relations containing the same ideal: 20
  133. Thu Jun 27 23:46:27 2013  removing 4815957 relations and 2815957 ideals in 2000000 cliques
  134. Thu Jun 27 23:46:30 2013  commencing in-memory singleton removal
  135. Thu Jun 27 23:46:36 2013  begin with 118580518 relations and 73017856 unique ideals
  136. Thu Jun 27 23:47:24 2013  reduce to 118459663 relations and 70078997 ideals in 6 passes
  137. Thu Jun 27 23:47:24 2013  max relations containing the same ideal: 20
  138. Thu Jun 27 23:48:00 2013  removing 4757173 relations and 2757173 ideals in 2000000 cliques
  139. Thu Jun 27 23:48:02 2013  commencing in-memory singleton removal
  140. Thu Jun 27 23:48:08 2013  begin with 113702490 relations and 70078997 unique ideals
  141. Thu Jun 27 23:48:54 2013  reduce to 113573102 relations and 67190231 ideals in 6 passes
  142. Thu Jun 27 23:48:54 2013  max relations containing the same ideal: 20
  143. Thu Jun 27 23:49:28 2013  removing 4801876 relations and 2801876 ideals in 2000000 cliques
  144. Thu Jun 27 23:49:31 2013  commencing in-memory singleton removal
  145. Thu Jun 27 23:49:36 2013  begin with 108771226 relations and 67190231 unique ideals
  146. Thu Jun 27 23:50:19 2013  reduce to 108632430 relations and 64247107 ideals in 6 passes
  147. Thu Jun 27 23:50:19 2013  max relations containing the same ideal: 20
  148. Thu Jun 27 23:50:52 2013  removing 4798348 relations and 2798348 ideals in 2000000 cliques
  149. Thu Jun 27 23:50:55 2013  commencing in-memory singleton removal
  150. Thu Jun 27 23:50:59 2013  begin with 103834082 relations and 64247107 unique ideals
  151. Thu Jun 27 23:51:40 2013  reduce to 103695323 relations and 61307470 ideals in 6 passes
  152. Thu Jun 27 23:51:40 2013  max relations containing the same ideal: 20
  153. Thu Jun 27 23:52:11 2013  removing 4769352 relations and 2769352 ideals in 2000000 cliques
  154. Thu Jun 27 23:52:14 2013  commencing in-memory singleton removal
  155. Thu Jun 27 23:52:18 2013  begin with 98925971 relations and 61307470 unique ideals
  156. Thu Jun 27 23:52:57 2013  reduce to 98777867 relations and 58387110 ideals in 6 passes
  157. Thu Jun 27 23:52:57 2013  max relations containing the same ideal: 20
  158. Thu Jun 27 23:53:26 2013  removing 4800076 relations and 2800076 ideals in 2000000 cliques
  159. Thu Jun 27 23:53:29 2013  commencing in-memory singleton removal
  160. Thu Jun 27 23:53:33 2013  begin with 93977791 relations and 58387110 unique ideals
  161. Thu Jun 27 23:54:09 2013  reduce to 93829670 relations and 55436044 ideals in 6 passes
  162. Thu Jun 27 23:54:09 2013  max relations containing the same ideal: 19
  163. Thu Jun 27 23:54:37 2013  removing 4813045 relations and 2813045 ideals in 2000000 cliques
  164. Thu Jun 27 23:54:40 2013  commencing in-memory singleton removal
  165. Thu Jun 27 23:54:44 2013  begin with 89016625 relations and 55436044 unique ideals
  166. Thu Jun 27 23:55:23 2013  reduce to 88861295 relations and 52464539 ideals in 7 passes
  167. Thu Jun 27 23:55:23 2013  max relations containing the same ideal: 19
  168. Thu Jun 27 23:55:49 2013  removing 4807570 relations and 2807570 ideals in 2000000 cliques
  169. Thu Jun 27 23:55:52 2013  commencing in-memory singleton removal
  170. Thu Jun 27 23:55:55 2013  begin with 84053725 relations and 52464539 unique ideals
  171. Thu Jun 27 23:56:32 2013  reduce to 83890693 relations and 49490714 ideals in 7 passes
  172. Thu Jun 27 23:56:32 2013  max relations containing the same ideal: 19
  173. Thu Jun 27 23:56:56 2013  removing 4831510 relations and 2831510 ideals in 2000000 cliques
  174. Thu Jun 27 23:56:59 2013  commencing in-memory singleton removal
  175. Thu Jun 27 23:57:02 2013  begin with 79059183 relations and 49490714 unique ideals
  176. Thu Jun 27 23:57:31 2013  reduce to 78889742 relations and 46486235 ideals in 6 passes
  177. Thu Jun 27 23:57:31 2013  max relations containing the same ideal: 19
  178. Thu Jun 27 23:57:54 2013  removing 4856148 relations and 2856148 ideals in 2000000 cliques
  179. Thu Jun 27 23:57:56 2013  commencing in-memory singleton removal
  180. Thu Jun 27 23:57:59 2013  begin with 74033594 relations and 46486235 unique ideals
  181. Thu Jun 27 23:58:26 2013  reduce to 73826986 relations and 43418969 ideals in 6 passes
  182. Thu Jun 27 23:58:26 2013  max relations containing the same ideal: 18
  183. Thu Jun 27 23:58:48 2013  removing 4830439 relations and 2830439 ideals in 2000000 cliques
  184. Thu Jun 27 23:58:50 2013  commencing in-memory singleton removal
  185. Thu Jun 27 23:58:53 2013  begin with 68996547 relations and 43418969 unique ideals
  186. Thu Jun 27 23:59:21 2013  reduce to 68719617 relations and 40304116 ideals in 7 passes
  187. Thu Jun 27 23:59:21 2013  max relations containing the same ideal: 18
  188. Thu Jun 27 23:59:42 2013  removing 4842565 relations and 2842565 ideals in 2000000 cliques
  189. Thu Jun 27 23:59:44 2013  commencing in-memory singleton removal
  190. Thu Jun 27 23:59:47 2013  begin with 63877052 relations and 40304116 unique ideals
  191. Fri Jun 28 00:00:12 2013  reduce to 63572463 relations and 37147664 ideals in 7 passes
  192. Fri Jun 28 00:00:12 2013  max relations containing the same ideal: 18
  193. Fri Jun 28 00:00:31 2013  removing 4924928 relations and 2924928 ideals in 2000000 cliques
  194. Fri Jun 28 00:00:33 2013  commencing in-memory singleton removal
  195. Fri Jun 28 00:00:36 2013  begin with 58647535 relations and 37147664 unique ideals
  196. Fri Jun 28 00:00:59 2013  reduce to 58359856 relations and 33925622 ideals in 7 passes
  197. Fri Jun 28 00:00:59 2013  max relations containing the same ideal: 17
  198. Fri Jun 28 00:01:16 2013  removing 5009688 relations and 3009688 ideals in 2000000 cliques
  199. Fri Jun 28 00:01:18 2013  commencing in-memory singleton removal
  200. Fri Jun 28 00:01:20 2013  begin with 53350168 relations and 33925622 unique ideals
  201. Fri Jun 28 00:01:38 2013  reduce to 53061651 relations and 30617828 ideals in 6 passes
  202. Fri Jun 28 00:01:38 2013  max relations containing the same ideal: 16
  203. Fri Jun 28 00:01:53 2013  removing 4977971 relations and 2977971 ideals in 2000000 cliques
  204. Fri Jun 28 00:01:55 2013  commencing in-memory singleton removal
  205. Fri Jun 28 00:01:57 2013  begin with 48083680 relations and 30617828 unique ideals
  206. Fri Jun 28 00:02:17 2013  reduce to 47694710 relations and 27235830 ideals in 8 passes
  207. Fri Jun 28 00:02:17 2013  max relations containing the same ideal: 16
  208. Fri Jun 28 00:02:32 2013  removing 5059772 relations and 3059772 ideals in 2000000 cliques
  209. Fri Jun 28 00:02:34 2013  commencing in-memory singleton removal
  210. Fri Jun 28 00:02:35 2013  begin with 42634938 relations and 27235830 unique ideals
  211. Fri Jun 28 00:02:50 2013  reduce to 42206723 relations and 23729953 ideals in 7 passes
  212. Fri Jun 28 00:02:50 2013  max relations containing the same ideal: 15
  213. Fri Jun 28 00:03:03 2013  removing 4797685 relations and 2917025 ideals in 1880660 cliques
  214. Fri Jun 28 00:03:05 2013  commencing in-memory singleton removal
  215. Fri Jun 28 00:03:06 2013  begin with 37409038 relations and 23729953 unique ideals
  216. Fri Jun 28 00:03:21 2013  reduce to 36963069 relations and 20345579 ideals in 8 passes
  217. Fri Jun 28 00:03:21 2013  max relations containing the same ideal: 14
  218. Fri Jun 28 00:03:32 2013  removing 59952 relations and 38572 ideals in 21380 cliques
  219. Fri Jun 28 00:03:33 2013  commencing in-memory singleton removal
  220. Fri Jun 28 00:03:34 2013  begin with 36903117 relations and 20345579 unique ideals
  221. Fri Jun 28 00:03:45 2013  reduce to 36902576 relations and 20306466 ideals in 6 passes
  222. Fri Jun 28 00:03:45 2013  max relations containing the same ideal: 14
  223. Fri Jun 28 00:03:47 2013  relations with 0 large ideals: 4722953
  224. Fri Jun 28 00:03:47 2013  relations with 1 large ideals: 15091869
  225. Fri Jun 28 00:03:47 2013  relations with 2 large ideals: 13474126
  226. Fri Jun 28 00:03:47 2013  relations with 3 large ideals: 3261548
  227. Fri Jun 28 00:03:47 2013  relations with 4 large ideals: 302367
  228. Fri Jun 28 00:03:47 2013  relations with 5 large ideals: 27712
  229. Fri Jun 28 00:03:47 2013  relations with 6 large ideals: 17631
  230. Fri Jun 28 00:03:47 2013  relations with 7+ large ideals: 4370
  231. Fri Jun 28 00:03:47 2013  commencing 2-way merge
  232. Fri Jun 28 00:04:01 2013  reduce to 23844797 relation sets and 7248687 unique ideals
  233. Fri Jun 28 00:04:01 2013  commencing full merge
  234. Fri Jun 28 00:04:45 2013  memory use: 815.1 MB
  235. Fri Jun 28 00:04:48 2013  found 16595925 cycles, need 14307191
  236. Fri Jun 28 00:04:51 2013  weight of 14307191 cycles is about 584199481 (40.83/cycle)
  237. Fri Jun 28 00:04:51 2013  distribution of cycle lengths:
  238. Fri Jun 28 00:04:51 2013  1 relations: 4722953
  239. Fri Jun 28 00:04:51 2013  2 relations: 2581268
  240. Fri Jun 28 00:04:51 2013  3 relations: 2309836
  241. Fri Jun 28 00:04:51 2013  4 relations: 1935677
  242. Fri Jun 28 00:04:51 2013  5 relations: 1492211
  243. Fri Jun 28 00:04:51 2013  6 relations: 1056747
  244. Fri Jun 28 00:04:51 2013  7 relations: 208370
  245. Fri Jun 28 00:04:51 2013  8 relations: 129
  246. Fri Jun 28 00:04:51 2013  9 relations: 0
  247. Fri Jun 28 00:04:51 2013  10+ relations: 0
  248. Fri Jun 28 00:04:51 2013  heaviest cycle: 8 relations
  249. Fri Jun 28 00:04:52 2013  matrix not dense enough, retrying
  250. Fri Jun 28 00:04:54 2013  reading large ideals from disk
  251. Fri Jun 28 00:08:08 2013  keeping 131177160 ideals with weight <= 25, target excess is 13699164
  252. Fri Jun 28 00:11:25 2013  memory use: 5109.8 MB
  253. Fri Jun 28 00:11:25 2013  commencing in-memory singleton removal
  254. Fri Jun 28 00:11:38 2013  begin with 214919620 relations and 131177160 unique ideals
  255. Fri Jun 28 00:12:37 2013  reduce to 214919535 relations and 131177075 ideals in 3 passes
  256. Fri Jun 28 00:12:37 2013  max relations containing the same ideal: 25
  257. Fri Jun 28 00:13:48 2013  removing 7526137 relations and 5526137 ideals in 2000000 cliques
  258. Fri Jun 28 00:13:53 2013  commencing in-memory singleton removal
  259. Fri Jun 28 00:14:05 2013  begin with 207393398 relations and 131177075 unique ideals
  260. Fri Jun 28 00:16:17 2013  reduce to 207114585 relations and 125368418 ideals in 7 passes
  261. Fri Jun 28 00:16:17 2013  max relations containing the same ideal: 25
  262. Fri Jun 28 00:17:24 2013  removing 6028863 relations and 4028863 ideals in 2000000 cliques
  263. Fri Jun 28 00:17:29 2013  commencing in-memory singleton removal
  264. Fri Jun 28 00:17:40 2013  begin with 201085722 relations and 125368418 unique ideals
  265. Fri Jun 28 00:19:24 2013  reduce to 200903532 relations and 121155339 ideals in 6 passes
  266. Fri Jun 28 00:19:24 2013  max relations containing the same ideal: 25
  267. Fri Jun 28 00:20:28 2013  removing 5652770 relations and 3652770 ideals in 2000000 cliques
  268. Fri Jun 28 00:20:33 2013  commencing in-memory singleton removal
  269. Fri Jun 28 00:20:44 2013  begin with 195250762 relations and 121155339 unique ideals
  270. Fri Jun 28 00:22:23 2013  reduce to 195099603 relations and 117349753 ideals in 6 passes
  271. Fri Jun 28 00:22:23 2013  max relations containing the same ideal: 25
  272. Fri Jun 28 00:23:25 2013  removing 5428349 relations and 3428349 ideals in 2000000 cliques
  273. Fri Jun 28 00:23:29 2013  commencing in-memory singleton removal
  274. Fri Jun 28 00:23:40 2013  begin with 189671254 relations and 117349753 unique ideals
  275. Fri Jun 28 00:24:59 2013  reduce to 189535250 relations and 113783911 ideals in 5 passes
  276. Fri Jun 28 00:24:59 2013  max relations containing the same ideal: 25
  277. Fri Jun 28 00:26:00 2013  removing 5310833 relations and 3310833 ideals in 2000000 cliques
  278. Fri Jun 28 00:26:04 2013  commencing in-memory singleton removal
  279. Fri Jun 28 00:26:14 2013  begin with 184224417 relations and 113783911 unique ideals
  280. Fri Jun 28 00:27:45 2013  reduce to 184100183 relations and 110347521 ideals in 6 passes
  281. Fri Jun 28 00:27:45 2013  max relations containing the same ideal: 25
  282. Fri Jun 28 00:28:43 2013  removing 5197739 relations and 3197739 ideals in 2000000 cliques
  283. Fri Jun 28 00:28:47 2013  commencing in-memory singleton removal
  284. Fri Jun 28 00:28:57 2013  begin with 178902444 relations and 110347521 unique ideals
  285. Fri Jun 28 00:30:24 2013  reduce to 178782810 relations and 107028838 ideals in 6 passes
  286. Fri Jun 28 00:30:24 2013  max relations containing the same ideal: 25
  287. Fri Jun 28 00:31:21 2013  removing 5131549 relations and 3131549 ideals in 2000000 cliques
  288. Fri Jun 28 00:31:25 2013  commencing in-memory singleton removal
  289. Fri Jun 28 00:31:34 2013  begin with 173651261 relations and 107028838 unique ideals
  290. Fri Jun 28 00:32:56 2013  reduce to 173539038 relations and 103783706 ideals in 6 passes
  291. Fri Jun 28 00:32:56 2013  max relations containing the same ideal: 25
  292. Fri Jun 28 00:33:50 2013  removing 5058506 relations and 3058506 ideals in 2000000 cliques
  293. Fri Jun 28 00:33:54 2013  commencing in-memory singleton removal
  294. Fri Jun 28 00:34:03 2013  begin with 168480532 relations and 103783706 unique ideals
  295. Fri Jun 28 00:35:10 2013  reduce to 168365928 relations and 100609163 ideals in 5 passes
  296. Fri Jun 28 00:35:10 2013  max relations containing the same ideal: 25
  297. Fri Jun 28 00:36:03 2013  removing 5023311 relations and 3023311 ideals in 2000000 cliques
  298. Fri Jun 28 00:36:07 2013  commencing in-memory singleton removal
  299. Fri Jun 28 00:36:15 2013  begin with 163342617 relations and 100609163 unique ideals
  300. Fri Jun 28 00:37:46 2013  reduce to 163234389 relations and 97476351 ideals in 7 passes
  301. Fri Jun 28 00:37:46 2013  max relations containing the same ideal: 25
  302. Fri Jun 28 00:38:36 2013  removing 4979871 relations and 2979871 ideals in 2000000 cliques
  303. Fri Jun 28 00:38:40 2013  commencing in-memory singleton removal
  304. Fri Jun 28 00:38:48 2013  begin with 158254518 relations and 97476351 unique ideals
  305. Fri Jun 28 00:40:01 2013  reduce to 158149845 relations and 94390488 ideals in 6 passes
  306. Fri Jun 28 00:40:01 2013  max relations containing the same ideal: 25
  307. Fri Jun 28 00:40:50 2013  removing 4903380 relations and 2903380 ideals in 2000000 cliques
  308. Fri Jun 28 00:40:54 2013  commencing in-memory singleton removal
  309. Fri Jun 28 00:41:01 2013  begin with 153246465 relations and 94390488 unique ideals
  310. Fri Jun 28 00:42:12 2013  reduce to 153130712 relations and 91369807 ideals in 6 passes
  311. Fri Jun 28 00:42:12 2013  max relations containing the same ideal: 25
  312. Fri Jun 28 00:42:59 2013  removing 4919271 relations and 2919271 ideals in 2000000 cliques
  313. Fri Jun 28 00:43:03 2013  commencing in-memory singleton removal
  314. Fri Jun 28 00:43:10 2013  begin with 148211441 relations and 91369807 unique ideals
  315. Fri Jun 28 00:44:17 2013  reduce to 148104079 relations and 88341696 ideals in 6 passes
  316. Fri Jun 28 00:44:17 2013  max relations containing the same ideal: 25
  317. Fri Jun 28 00:45:03 2013  removing 4897910 relations and 2897910 ideals in 2000000 cliques
  318. Fri Jun 28 00:45:07 2013  commencing in-memory singleton removal
  319. Fri Jun 28 00:45:14 2013  begin with 143206169 relations and 88341696 unique ideals
  320. Fri Jun 28 00:46:07 2013  reduce to 143100505 relations and 85336640 ideals in 5 passes
  321. Fri Jun 28 00:46:07 2013  max relations containing the same ideal: 25
  322. Fri Jun 28 00:46:51 2013  removing 4840596 relations and 2840596 ideals in 2000000 cliques
  323. Fri Jun 28 00:46:54 2013  commencing in-memory singleton removal
  324. Fri Jun 28 00:47:01 2013  begin with 138259909 relations and 85336640 unique ideals
  325. Fri Jun 28 00:47:51 2013  reduce to 138145141 relations and 82379634 ideals in 5 passes
  326. Fri Jun 28 00:47:51 2013  max relations containing the same ideal: 25
  327. Fri Jun 28 00:48:33 2013  removing 4858926 relations and 2858926 ideals in 2000000 cliques
  328. Fri Jun 28 00:48:37 2013  commencing in-memory singleton removal
  329. Fri Jun 28 00:48:43 2013  begin with 133286215 relations and 82379634 unique ideals
  330. Fri Jun 28 00:49:41 2013  reduce to 133178695 relations and 79411642 ideals in 6 passes
  331. Fri Jun 28 00:49:41 2013  max relations containing the same ideal: 25
  332. Fri Jun 28 00:50:21 2013  removing 4787355 relations and 2787355 ideals in 2000000 cliques
  333. Fri Jun 28 00:50:25 2013  commencing in-memory singleton removal
  334. Fri Jun 28 00:50:31 2013  begin with 128391340 relations and 79411642 unique ideals
  335. Fri Jun 28 00:51:26 2013  reduce to 128267490 relations and 76498472 ideals in 6 passes
  336. Fri Jun 28 00:51:26 2013  max relations containing the same ideal: 24
  337. Fri Jun 28 00:52:05 2013  removing 4832699 relations and 2832699 ideals in 2000000 cliques
  338. Fri Jun 28 00:52:08 2013  commencing in-memory singleton removal
  339. Fri Jun 28 00:52:14 2013  begin with 123434791 relations and 76498472 unique ideals
  340. Fri Jun 28 00:53:07 2013  reduce to 123321083 relations and 73550251 ideals in 6 passes
  341. Fri Jun 28 00:53:07 2013  max relations containing the same ideal: 24
  342. Fri Jun 28 00:53:45 2013  removing 4812346 relations and 2812346 ideals in 2000000 cliques
  343. Fri Jun 28 00:53:48 2013  commencing in-memory singleton removal
  344. Fri Jun 28 00:53:53 2013  begin with 118508737 relations and 73550251 unique ideals
  345. Fri Jun 28 00:54:35 2013  reduce to 118386175 relations and 70613330 ideals in 5 passes
  346. Fri Jun 28 00:54:35 2013  max relations containing the same ideal: 24
  347. Fri Jun 28 00:55:11 2013  removing 4806370 relations and 2806370 ideals in 2000000 cliques
  348. Fri Jun 28 00:55:14 2013  commencing in-memory singleton removal
  349. Fri Jun 28 00:55:19 2013  begin with 113579805 relations and 70613330 unique ideals
  350. Fri Jun 28 00:56:06 2013  reduce to 113454657 relations and 67679714 ideals in 6 passes
  351. Fri Jun 28 00:56:06 2013  max relations containing the same ideal: 24
  352. Fri Jun 28 00:56:40 2013  removing 4756858 relations and 2756858 ideals in 2000000 cliques
  353. Fri Jun 28 00:56:43 2013  commencing in-memory singleton removal
  354. Fri Jun 28 00:56:48 2013  begin with 108697799 relations and 67679714 unique ideals
  355. Fri Jun 28 00:57:33 2013  reduce to 108561612 relations and 64784202 ideals in 6 passes
  356. Fri Jun 28 00:57:33 2013  max relations containing the same ideal: 23
  357. Fri Jun 28 00:58:06 2013  removing 4793470 relations and 2793470 ideals in 2000000 cliques
  358. Fri Jun 28 00:58:09 2013  commencing in-memory singleton removal
  359. Fri Jun 28 00:58:13 2013  begin with 103768142 relations and 64784202 unique ideals
  360. Fri Jun 28 00:58:56 2013  reduce to 103622833 relations and 61842638 ideals in 6 passes
  361. Fri Jun 28 00:58:56 2013  max relations containing the same ideal: 23
  362. Fri Jun 28 00:59:27 2013  removing 4799611 relations and 2799611 ideals in 2000000 cliques
  363. Fri Jun 28 00:59:30 2013  commencing in-memory singleton removal
  364. Fri Jun 28 00:59:34 2013  begin with 98823222 relations and 61842638 unique ideals
  365. Fri Jun 28 01:00:13 2013  reduce to 98678557 relations and 58895614 ideals in 6 passes
  366. Fri Jun 28 01:00:13 2013  max relations containing the same ideal: 23
  367. Fri Jun 28 01:00:43 2013  removing 4775447 relations and 2775447 ideals in 2000000 cliques
  368. Fri Jun 28 01:00:46 2013  commencing in-memory singleton removal
  369. Fri Jun 28 01:00:50 2013  begin with 93903110 relations and 58895614 unique ideals
  370. Fri Jun 28 01:01:27 2013  reduce to 93744978 relations and 55958784 ideals in 6 passes
  371. Fri Jun 28 01:01:27 2013  max relations containing the same ideal: 22
  372. Fri Jun 28 01:01:55 2013  removing 4809784 relations and 2809784 ideals in 2000000 cliques
  373. Fri Jun 28 01:01:58 2013  commencing in-memory singleton removal
  374. Fri Jun 28 01:02:02 2013  begin with 88935194 relations and 55958784 unique ideals
  375. Fri Jun 28 01:02:37 2013  reduce to 88776486 relations and 52987003 ideals in 6 passes
  376. Fri Jun 28 01:02:37 2013  max relations containing the same ideal: 22
  377. Fri Jun 28 01:03:03 2013  removing 4819778 relations and 2819778 ideals in 2000000 cliques
  378. Fri Jun 28 01:03:06 2013  commencing in-memory singleton removal
  379. Fri Jun 28 01:03:09 2013  begin with 83956708 relations and 52987003 unique ideals
  380. Fri Jun 28 01:03:41 2013  reduce to 83788666 relations and 49995676 ideals in 6 passes
  381. Fri Jun 28 01:03:41 2013  max relations containing the same ideal: 22
  382. Fri Jun 28 01:04:07 2013  removing 4831718 relations and 2831718 ideals in 2000000 cliques
  383. Fri Jun 28 01:04:09 2013  commencing in-memory singleton removal
  384. Fri Jun 28 01:04:12 2013  begin with 78956948 relations and 49995676 unique ideals
  385. Fri Jun 28 01:04:42 2013  reduce to 78778065 relations and 46981096 ideals in 6 passes
  386. Fri Jun 28 01:04:42 2013  max relations containing the same ideal: 21
  387. Fri Jun 28 01:05:06 2013  removing 4844818 relations and 2844818 ideals in 2000000 cliques
  388. Fri Jun 28 01:05:08 2013  commencing in-memory singleton removal
  389. Fri Jun 28 01:05:11 2013  begin with 73933247 relations and 46981096 unique ideals
  390. Fri Jun 28 01:05:43 2013  reduce to 73748555 relations and 43947512 ideals in 7 passes
  391. Fri Jun 28 01:05:43 2013  max relations containing the same ideal: 21
  392. Fri Jun 28 01:06:05 2013  removing 4892715 relations and 2892715 ideals in 2000000 cliques
  393. Fri Jun 28 01:06:07 2013  commencing in-memory singleton removal
  394. Fri Jun 28 01:06:10 2013  begin with 68855840 relations and 43947512 unique ideals
  395. Fri Jun 28 01:06:35 2013  reduce to 68645361 relations and 40839422 ideals in 6 passes
  396. Fri Jun 28 01:06:35 2013  max relations containing the same ideal: 20
  397. Fri Jun 28 01:06:56 2013  removing 4878115 relations and 2878115 ideals in 2000000 cliques
  398. Fri Jun 28 01:06:58 2013  commencing in-memory singleton removal
  399. Fri Jun 28 01:07:00 2013  begin with 63767246 relations and 40839422 unique ideals
  400. Fri Jun 28 01:07:26 2013  reduce to 63471882 relations and 37657848 ideals in 7 passes
  401. Fri Jun 28 01:07:26 2013  max relations containing the same ideal: 20
  402. Fri Jun 28 01:07:46 2013  removing 4877798 relations and 2877798 ideals in 2000000 cliques
  403. Fri Jun 28 01:07:48 2013  commencing in-memory singleton removal
  404. Fri Jun 28 01:07:50 2013  begin with 58594084 relations and 37657848 unique ideals
  405. Fri Jun 28 01:08:11 2013  reduce to 58256801 relations and 34431689 ideals in 6 passes
  406. Fri Jun 28 01:08:11 2013  max relations containing the same ideal: 20
  407. Fri Jun 28 01:08:29 2013  removing 4973411 relations and 2973411 ideals in 2000000 cliques
  408. Fri Jun 28 01:08:31 2013  commencing in-memory singleton removal
  409. Fri Jun 28 01:08:33 2013  begin with 53283390 relations and 34431689 unique ideals
  410. Fri Jun 28 01:08:54 2013  reduce to 52959634 relations and 31122959 ideals in 7 passes
  411. Fri Jun 28 01:08:54 2013  max relations containing the same ideal: 20
  412. Fri Jun 28 01:09:10 2013  removing 5065822 relations and 3065822 ideals in 2000000 cliques
  413. Fri Jun 28 01:09:12 2013  commencing in-memory singleton removal
  414. Fri Jun 28 01:09:14 2013  begin with 47893812 relations and 31122959 unique ideals
  415. Fri Jun 28 01:09:32 2013  reduce to 47562578 relations and 27713710 ideals in 7 passes
  416. Fri Jun 28 01:09:32 2013  max relations containing the same ideal: 19
  417. Fri Jun 28 01:09:46 2013  removing 5045986 relations and 3045986 ideals in 2000000 cliques
  418. Fri Jun 28 01:09:48 2013  commencing in-memory singleton removal
  419. Fri Jun 28 01:09:50 2013  begin with 42516592 relations and 27713710 unique ideals
  420. Fri Jun 28 01:10:07 2013  reduce to 42069919 relations and 24201849 ideals in 8 passes
  421. Fri Jun 28 01:10:07 2013  max relations containing the same ideal: 18
  422. Fri Jun 28 01:10:20 2013  removing 5080559 relations and 3103520 ideals in 1977039 cliques
  423. Fri Jun 28 01:10:22 2013  commencing in-memory singleton removal
  424. Fri Jun 28 01:10:23 2013  begin with 36989360 relations and 24201849 unique ideals
  425. Fri Jun 28 01:10:38 2013  reduce to 36510535 relations and 20596638 ideals in 8 passes
  426. Fri Jun 28 01:10:38 2013  max relations containing the same ideal: 18
  427. Fri Jun 28 01:10:50 2013  removing 65956 relations and 43090 ideals in 22866 cliques
  428. Fri Jun 28 01:10:50 2013  commencing in-memory singleton removal
  429. Fri Jun 28 01:10:52 2013  begin with 36444579 relations and 20596638 unique ideals
  430. Fri Jun 28 01:10:59 2013  reduce to 36444017 relations and 20552986 ideals in 4 passes
  431. Fri Jun 28 01:10:59 2013  max relations containing the same ideal: 18
  432. Fri Jun 28 01:11:01 2013  relations with 0 large ideals: 4229602
  433. Fri Jun 28 01:11:01 2013  relations with 1 large ideals: 14195422
  434. Fri Jun 28 01:11:01 2013  relations with 2 large ideals: 13753161
  435. Fri Jun 28 01:11:01 2013  relations with 3 large ideals: 3791140
  436. Fri Jun 28 01:11:01 2013  relations with 4 large ideals: 406304
  437. Fri Jun 28 01:11:01 2013  relations with 5 large ideals: 30468
  438. Fri Jun 28 01:11:01 2013  relations with 6 large ideals: 31947
  439. Fri Jun 28 01:11:01 2013  relations with 7+ large ideals: 5973
  440. Fri Jun 28 01:11:01 2013  commencing 2-way merge
  441. Fri Jun 28 01:11:15 2013  reduce to 23626611 relation sets and 7735580 unique ideals
  442. Fri Jun 28 01:11:15 2013  commencing full merge
  443. Fri Jun 28 01:12:06 2013  memory use: 840.3 MB
  444. Fri Jun 28 01:12:09 2013  found 15890082 cycles, need 13699364
  445. Fri Jun 28 01:12:12 2013  weight of 13699364 cycles is about 611966954 (44.67/cycle)
  446. Fri Jun 28 01:12:12 2013  distribution of cycle lengths:
  447. Fri Jun 28 01:12:12 2013  1 relations: 4229602
  448. Fri Jun 28 01:12:12 2013  2 relations: 2285081
  449. Fri Jun 28 01:12:12 2013  3 relations: 2028631
  450. Fri Jun 28 01:12:12 2013  4 relations: 1761013
  451. Fri Jun 28 01:12:12 2013  5 relations: 1464938
  452. Fri Jun 28 01:12:12 2013  6 relations: 1076369
  453. Fri Jun 28 01:12:12 2013  7 relations: 791473
  454. Fri Jun 28 01:12:12 2013  8 relations: 62136
  455. Fri Jun 28 01:12:12 2013  9 relations: 121
  456. Fri Jun 28 01:12:12 2013  10+ relations: 0
  457. Fri Jun 28 01:12:12 2013  heaviest cycle: 9 relations
  458. Fri Jun 28 01:12:13 2013  matrix not dense enough, retrying
  459. Fri Jun 28 01:12:14 2013  reading large ideals from disk
  460. Fri Jun 28 01:15:32 2013  keeping 132159960 ideals with weight <= 30, target excess is 12716364
  461. Fri Jun 28 01:18:56 2013  memory use: 5109.8 MB
  462. Fri Jun 28 01:18:56 2013  commencing in-memory singleton removal
  463. Fri Jun 28 01:19:09 2013  begin with 214919620 relations and 132159960 unique ideals
  464. Fri Jun 28 01:20:07 2013  reduce to 214919535 relations and 132159875 ideals in 3 passes
  465. Fri Jun 28 01:20:07 2013  max relations containing the same ideal: 30
  466. Fri Jun 28 01:21:18 2013  removing 7562267 relations and 5562267 ideals in 2000000 cliques
  467. Fri Jun 28 01:21:23 2013  commencing in-memory singleton removal
  468. Fri Jun 28 01:21:36 2013  begin with 207357268 relations and 132159875 unique ideals
  469. Fri Jun 28 01:23:47 2013  reduce to 207080898 relations and 126317555 ideals in 7 passes
  470. Fri Jun 28 01:23:47 2013  max relations containing the same ideal: 30
  471. Fri Jun 28 01:24:56 2013  removing 6040761 relations and 4040761 ideals in 2000000 cliques
  472. Fri Jun 28 01:25:01 2013  commencing in-memory singleton removal
  473. Fri Jun 28 01:25:13 2013  begin with 201040137 relations and 126317555 unique ideals
  474. Fri Jun 28 01:27:03 2013  reduce to 200858510 relations and 122093138 ideals in 6 passes
  475. Fri Jun 28 01:27:03 2013  max relations containing the same ideal: 30
  476. Fri Jun 28 01:28:10 2013  removing 5661105 relations and 3661105 ideals in 2000000 cliques
  477. Fri Jun 28 01:28:15 2013  commencing in-memory singleton removal
  478. Fri Jun 28 01:28:26 2013  begin with 195197405 relations and 122093138 unique ideals
  479. Fri Jun 28 01:29:54 2013  reduce to 195047301 relations and 118280290 ideals in 5 passes
  480. Fri Jun 28 01:29:54 2013  max relations containing the same ideal: 30
  481. Fri Jun 28 01:30:58 2013  removing 5439254 relations and 3439254 ideals in 2000000 cliques
  482. Fri Jun 28 01:31:02 2013  commencing in-memory singleton removal
  483. Fri Jun 28 01:31:13 2013  begin with 189608047 relations and 118280290 unique ideals
  484. Fri Jun 28 01:32:36 2013  reduce to 189471504 relations and 114703021 ideals in 5 passes
  485. Fri Jun 28 01:32:36 2013  max relations containing the same ideal: 30
  486. Fri Jun 28 01:33:38 2013  removing 5315272 relations and 3315272 ideals in 2000000 cliques
  487. Fri Jun 28 01:33:42 2013  commencing in-memory singleton removal
  488. Fri Jun 28 01:33:53 2013  begin with 184156232 relations and 114703021 unique ideals
  489. Fri Jun 28 01:35:12 2013  reduce to 184032283 relations and 111262479 ideals in 5 passes
  490. Fri Jun 28 01:35:12 2013  max relations containing the same ideal: 30
  491. Fri Jun 28 01:36:13 2013  removing 5208534 relations and 3208534 ideals in 2000000 cliques
  492. Fri Jun 28 01:36:17 2013  commencing in-memory singleton removal
  493. Fri Jun 28 01:36:27 2013  begin with 178823749 relations and 111262479 unique ideals
  494. Fri Jun 28 01:37:59 2013  reduce to 178705486 relations and 107934353 ideals in 6 passes
  495. Fri Jun 28 01:37:59 2013  max relations containing the same ideal: 30
  496. Fri Jun 28 01:38:57 2013  removing 5124998 relations and 3124998 ideals in 2000000 cliques
  497. Fri Jun 28 01:39:01 2013  commencing in-memory singleton removal
  498. Fri Jun 28 01:39:11 2013  begin with 173580488 relations and 107934353 unique ideals
  499. Fri Jun 28 01:40:38 2013  reduce to 173464711 relations and 104692238 ideals in 6 passes
  500. Fri Jun 28 01:40:38 2013  max relations containing the same ideal: 30
  501. Fri Jun 28 01:41:35 2013  removing 5062766 relations and 3062766 ideals in 2000000 cliques
  502. Fri Jun 28 01:41:38 2013  commencing in-memory singleton removal
  503. Fri Jun 28 01:41:48 2013  begin with 168401945 relations and 104692238 unique ideals
  504. Fri Jun 28 01:43:11 2013  reduce to 168288157 relations and 101514253 ideals in 6 passes
  505. Fri Jun 28 01:43:11 2013  max relations containing the same ideal: 30
  506. Fri Jun 28 01:44:05 2013  removing 5025355 relations and 3025355 ideals in 2000000 cliques
  507. Fri Jun 28 01:44:09 2013  commencing in-memory singleton removal
  508. Fri Jun 28 01:44:18 2013  begin with 163262802 relations and 101514253 unique ideals
  509. Fri Jun 28 01:45:24 2013  reduce to 163154233 relations and 98378990 ideals in 5 passes
  510. Fri Jun 28 01:45:24 2013  max relations containing the same ideal: 30
  511. Fri Jun 28 01:46:17 2013  removing 4980327 relations and 2980327 ideals in 2000000 cliques
  512. Fri Jun 28 01:46:20 2013  commencing in-memory singleton removal
  513. Fri Jun 28 01:46:29 2013  begin with 158173906 relations and 98378990 unique ideals
  514. Fri Jun 28 01:47:33 2013  reduce to 158066839 relations and 95290275 ideals in 5 passes
  515. Fri Jun 28 01:47:33 2013  max relations containing the same ideal: 30
  516. Fri Jun 28 01:48:24 2013  removing 4960781 relations and 2960781 ideals in 2000000 cliques
  517. Fri Jun 28 01:48:27 2013  commencing in-memory singleton removal
  518. Fri Jun 28 01:48:35 2013  begin with 153106058 relations and 95290275 unique ideals
  519. Fri Jun 28 01:49:33 2013  reduce to 153001911 relations and 92223941 ideals in 5 passes
  520. Fri Jun 28 01:49:33 2013  max relations containing the same ideal: 30
  521. Fri Jun 28 01:50:21 2013  removing 4887065 relations and 2887065 ideals in 2000000 cliques
  522. Fri Jun 28 01:50:25 2013  commencing in-memory singleton removal
  523. Fri Jun 28 01:50:33 2013  begin with 148114846 relations and 92223941 unique ideals
  524. Fri Jun 28 01:51:20 2013  reduce to 147999615 relations and 89219974 ideals in 5 passes
  525. Fri Jun 28 01:51:20 2013  max relations containing the same ideal: 30
  526. Fri Jun 28 01:52:07 2013  removing 4884509 relations and 2884509 ideals in 2000000 cliques
  527. Fri Jun 28 01:52:11 2013  commencing in-memory singleton removal
  528. Fri Jun 28 01:52:18 2013  begin with 143115106 relations and 89219974 unique ideals
  529. Fri Jun 28 01:53:14 2013  reduce to 143008906 relations and 86227829 ideals in 5 passes
  530. Fri Jun 28 01:53:14 2013  max relations containing the same ideal: 29
  531. Fri Jun 28 01:53:59 2013  removing 4878903 relations and 2878903 ideals in 2000000 cliques
  532. Fri Jun 28 01:54:03 2013  commencing in-memory singleton removal
  533. Fri Jun 28 01:54:10 2013  begin with 138130003 relations and 86227829 unique ideals
  534. Fri Jun 28 01:55:14 2013  reduce to 138022416 relations and 83239816 ideals in 6 passes
  535. Fri Jun 28 01:55:14 2013  max relations containing the same ideal: 29
  536. Fri Jun 28 01:55:58 2013  removing 4833814 relations and 2833814 ideals in 2000000 cliques
  537. Fri Jun 28 01:56:02 2013  commencing in-memory singleton removal
  538. Fri Jun 28 01:56:08 2013  begin with 133188602 relations and 83239816 unique ideals
  539. Fri Jun 28 01:57:09 2013  reduce to 133073485 relations and 80289118 ideals in 6 passes
  540. Fri Jun 28 01:57:09 2013  max relations containing the same ideal: 29
  541. Fri Jun 28 01:57:51 2013  removing 4849299 relations and 2849299 ideals in 2000000 cliques
  542. Fri Jun 28 01:57:55 2013  commencing in-memory singleton removal
  543. Fri Jun 28 01:58:01 2013  begin with 128224186 relations and 80289118 unique ideals
  544. Fri Jun 28 01:58:59 2013  reduce to 128112650 relations and 77326581 ideals in 6 passes
  545. Fri Jun 28 01:58:59 2013  max relations containing the same ideal: 28
  546. Fri Jun 28 01:59:39 2013  removing 4793929 relations and 2793929 ideals in 2000000 cliques
  547. Fri Jun 28 01:59:42 2013  commencing in-memory singleton removal
  548. Fri Jun 28 01:59:48 2013  begin with 123318721 relations and 77326581 unique ideals
  549. Fri Jun 28 02:00:42 2013  reduce to 123198729 relations and 74410728 ideals in 6 passes
  550. Fri Jun 28 02:00:42 2013  max relations containing the same ideal: 28
  551. Fri Jun 28 02:01:21 2013  removing 4808071 relations and 2808071 ideals in 2000000 cliques
  552. Fri Jun 28 02:01:24 2013  commencing in-memory singleton removal
  553. Fri Jun 28 02:01:30 2013  begin with 118390658 relations and 74410728 unique ideals
  554. Fri Jun 28 02:02:22 2013  reduce to 118267652 relations and 71477644 ideals in 6 passes
  555. Fri Jun 28 02:02:22 2013  max relations containing the same ideal: 28
  556. Fri Jun 28 02:02:59 2013  removing 4792042 relations and 2792042 ideals in 2000000 cliques
  557. Fri Jun 28 02:03:02 2013  commencing in-memory singleton removal
  558. Fri Jun 28 02:03:07 2013  begin with 113475610 relations and 71477644 unique ideals
  559. Fri Jun 28 02:03:48 2013  reduce to 113348666 relations and 68556531 ideals in 5 passes
  560. Fri Jun 28 02:03:48 2013  max relations containing the same ideal: 27
  561. Fri Jun 28 02:04:23 2013  removing 4823718 relations and 2823718 ideals in 2000000 cliques
  562. Fri Jun 28 02:04:26 2013  commencing in-memory singleton removal
  563. Fri Jun 28 02:04:31 2013  begin with 108524948 relations and 68556531 unique ideals
  564. Fri Jun 28 02:05:17 2013  reduce to 108400336 relations and 65606095 ideals in 6 passes
  565. Fri Jun 28 02:05:17 2013  max relations containing the same ideal: 27
  566. Fri Jun 28 02:05:51 2013  removing 4781885 relations and 2781885 ideals in 2000000 cliques
  567. Fri Jun 28 02:05:54 2013  commencing in-memory singleton removal
  568. Fri Jun 28 02:05:59 2013  begin with 103618451 relations and 65606095 unique ideals
  569. Fri Jun 28 02:06:42 2013  reduce to 103479363 relations and 62682594 ideals in 6 passes
  570. Fri Jun 28 02:06:42 2013  max relations containing the same ideal: 26
  571. Fri Jun 28 02:07:14 2013  removing 4772345 relations and 2772345 ideals in 2000000 cliques
  572. Fri Jun 28 02:07:17 2013  commencing in-memory singleton removal
  573. Fri Jun 28 02:07:22 2013  begin with 98707018 relations and 62682594 unique ideals
  574. Fri Jun 28 02:08:03 2013  reduce to 98555367 relations and 59755766 ideals in 6 passes
  575. Fri Jun 28 02:08:03 2013  max relations containing the same ideal: 26
  576. Fri Jun 28 02:08:33 2013  removing 4808837 relations and 2808837 ideals in 2000000 cliques
  577. Fri Jun 28 02:08:36 2013  commencing in-memory singleton removal
  578. Fri Jun 28 02:08:40 2013  begin with 93746530 relations and 59755766 unique ideals
  579. Fri Jun 28 02:09:19 2013  reduce to 93593542 relations and 56790895 ideals in 6 passes
  580. Fri Jun 28 02:09:19 2013  max relations containing the same ideal: 26
  581. Fri Jun 28 02:09:48 2013  removing 4810375 relations and 2810375 ideals in 2000000 cliques
  582. Fri Jun 28 02:09:50 2013  commencing in-memory singleton removal
  583. Fri Jun 28 02:09:54 2013  begin with 88783167 relations and 56790895 unique ideals
  584. Fri Jun 28 02:10:30 2013  reduce to 88621662 relations and 53815624 ideals in 6 passes
  585. Fri Jun 28 02:10:30 2013  max relations containing the same ideal: 26
  586. Fri Jun 28 02:10:57 2013  removing 4794120 relations and 2794120 ideals in 2000000 cliques
  587. Fri Jun 28 02:11:00 2013  commencing in-memory singleton removal
  588. Fri Jun 28 02:11:04 2013  begin with 83827542 relations and 53815624 unique ideals
  589. Fri Jun 28 02:11:37 2013  reduce to 83647200 relations and 50837365 ideals in 6 passes
  590. Fri Jun 28 02:11:37 2013  max relations containing the same ideal: 25
  591. Fri Jun 28 02:12:03 2013  removing 4833677 relations and 2833677 ideals in 2000000 cliques
  592. Fri Jun 28 02:12:05 2013  commencing in-memory singleton removal
  593. Fri Jun 28 02:12:09 2013  begin with 78813523 relations and 50837365 unique ideals
  594. Fri Jun 28 02:12:39 2013  reduce to 78627114 relations and 47813086 ideals in 6 passes
  595. Fri Jun 28 02:12:39 2013  max relations containing the same ideal: 24
  596. Fri Jun 28 02:13:04 2013  removing 4846173 relations and 2846173 ideals in 2000000 cliques
  597. Fri Jun 28 02:13:06 2013  commencing in-memory singleton removal
  598. Fri Jun 28 02:13:09 2013  begin with 73780941 relations and 47813086 unique ideals
  599. Fri Jun 28 02:13:42 2013  reduce to 73577978 relations and 44759200 ideals in 7 passes
  600. Fri Jun 28 02:13:42 2013  max relations containing the same ideal: 23
  601. Fri Jun 28 02:14:05 2013  removing 4900063 relations and 2900063 ideals in 2000000 cliques
  602. Fri Jun 28 02:14:08 2013  commencing in-memory singleton removal
  603. Fri Jun 28 02:14:10 2013  begin with 68677915 relations and 44759200 unique ideals
  604. Fri Jun 28 02:14:41 2013  reduce to 68467615 relations and 41643583 ideals in 7 passes
  605. Fri Jun 28 02:14:41 2013  max relations containing the same ideal: 23
  606. Fri Jun 28 02:15:02 2013  removing 4901014 relations and 2901014 ideals in 2000000 cliques
  607. Fri Jun 28 02:15:04 2013  commencing in-memory singleton removal
  608. Fri Jun 28 02:15:07 2013  begin with 63566601 relations and 41643583 unique ideals
  609. Fri Jun 28 02:15:30 2013  reduce to 63341111 relations and 38511450 ideals in 6 passes
  610. Fri Jun 28 02:15:30 2013  max relations containing the same ideal: 22
  611. Fri Jun 28 02:15:50 2013  removing 4972039 relations and 2972039 ideals in 2000000 cliques
  612. Fri Jun 28 02:15:52 2013  commencing in-memory singleton removal
  613. Fri Jun 28 02:15:54 2013  begin with 58369072 relations and 38511450 unique ideals
  614. Fri Jun 28 02:16:22 2013  reduce to 58117545 relations and 35281333 ideals in 8 passes
  615. Fri Jun 28 02:16:22 2013  max relations containing the same ideal: 22
  616. Fri Jun 28 02:16:40 2013  removing 4978411 relations and 2978411 ideals in 2000000 cliques
  617. Fri Jun 28 02:16:43 2013  commencing in-memory singleton removal
  618. Fri Jun 28 02:16:45 2013  begin with 53139134 relations and 35281333 unique ideals
  619. Fri Jun 28 02:17:06 2013  reduce to 52788490 relations and 31941117 ideals in 7 passes
  620. Fri Jun 28 02:17:06 2013  max relations containing the same ideal: 21
  621. Fri Jun 28 02:17:23 2013  removing 4995931 relations and 2995931 ideals in 2000000 cliques
  622. Fri Jun 28 02:17:25 2013  commencing in-memory singleton removal
  623. Fri Jun 28 02:17:27 2013  begin with 47792559 relations and 31941117 unique ideals
  624. Fri Jun 28 02:17:46 2013  reduce to 47374322 relations and 28510743 ideals in 7 passes
  625. Fri Jun 28 02:17:46 2013  max relations containing the same ideal: 21
  626. Fri Jun 28 02:18:01 2013  removing 5118318 relations and 3118318 ideals in 2000000 cliques
  627. Fri Jun 28 02:18:03 2013  commencing in-memory singleton removal
  628. Fri Jun 28 02:18:05 2013  begin with 42256004 relations and 28510743 unique ideals
  629. Fri Jun 28 02:18:23 2013  reduce to 41849971 relations and 24969203 ideals in 8 passes
  630. Fri Jun 28 02:18:23 2013  max relations containing the same ideal: 21
  631. Fri Jun 28 02:18:37 2013  removing 5169773 relations and 3169773 ideals in 2000000 cliques
  632. Fri Jun 28 02:18:39 2013  commencing in-memory singleton removal
  633. Fri Jun 28 02:18:40 2013  begin with 36680198 relations and 24969203 unique ideals
  634. Fri Jun 28 02:18:57 2013  reduce to 36199932 relations and 21296507 ideals in 9 passes
  635. Fri Jun 28 02:18:57 2013  max relations containing the same ideal: 19
  636. Fri Jun 28 02:19:09 2013  removing 408226 relations and 255784 ideals in 152442 cliques
  637. Fri Jun 28 02:19:09 2013  commencing in-memory singleton removal
  638. Fri Jun 28 02:19:11 2013  begin with 35791706 relations and 21296507 unique ideals
  639. Fri Jun 28 02:19:22 2013  reduce to 35776101 relations and 21025020 ideals in 6 passes
  640. Fri Jun 28 02:19:22 2013  max relations containing the same ideal: 19
  641. Fri Jun 28 02:19:24 2013  relations with 0 large ideals: 3529564
  642. Fri Jun 28 02:19:24 2013  relations with 1 large ideals: 12766987
  643. Fri Jun 28 02:19:24 2013  relations with 2 large ideals: 14016513
  644. Fri Jun 28 02:19:24 2013  relations with 3 large ideals: 4729467
  645. Fri Jun 28 02:19:24 2013  relations with 4 large ideals: 635229
  646. Fri Jun 28 02:19:24 2013  relations with 5 large ideals: 60835
  647. Fri Jun 28 02:19:24 2013  relations with 6 large ideals: 29395
  648. Fri Jun 28 02:19:24 2013  relations with 7+ large ideals: 8111
  649. Fri Jun 28 02:19:24 2013  commencing 2-way merge
  650. Fri Jun 28 02:19:38 2013  reduce to 23187245 relation sets and 8436164 unique ideals
  651. Fri Jun 28 02:19:38 2013  commencing full merge
  652. Fri Jun 28 02:20:42 2013  memory use: 883.9 MB
  653. Fri Jun 28 02:20:44 2013  found 14744474 cycles, need 12716564
  654. Fri Jun 28 02:20:47 2013  weight of 12716564 cycles is about 677546529 (53.28/cycle)
  655. Fri Jun 28 02:20:47 2013  distribution of cycle lengths:
  656. Fri Jun 28 02:20:47 2013  1 relations: 3529564
  657. Fri Jun 28 02:20:47 2013  2 relations: 1827153
  658. Fri Jun 28 02:20:47 2013  3 relations: 1571461
  659. Fri Jun 28 02:20:47 2013  4 relations: 1424697
  660. Fri Jun 28 02:20:47 2013  5 relations: 1273985
  661. Fri Jun 28 02:20:47 2013  6 relations: 1065706
  662. Fri Jun 28 02:20:47 2013  7 relations: 880630
  663. Fri Jun 28 02:20:47 2013  8 relations: 649358
  664. Fri Jun 28 02:20:47 2013  9 relations: 469206
  665. Fri Jun 28 02:20:47 2013  10+ relations: 24804
  666. Fri Jun 28 02:20:47 2013  heaviest cycle: 12 relations
  667. Fri Jun 28 02:20:48 2013  matrix not dense enough, retrying
  668. Fri Jun 28 02:20:49 2013  reading large ideals from disk
  669. Fri Jun 28 02:24:04 2013  keeping 133627306 ideals with weight <= 35, target excess is 11249018
  670. Fri Jun 28 02:27:24 2013  memory use: 5109.8 MB
  671. Fri Jun 28 02:27:24 2013  commencing in-memory singleton removal
  672. Fri Jun 28 02:27:38 2013  begin with 214919620 relations and 133627306 unique ideals
  673. Fri Jun 28 02:28:42 2013  reduce to 214919535 relations and 133627221 ideals in 3 passes
  674. Fri Jun 28 02:28:42 2013  max relations containing the same ideal: 35
  675. Fri Jun 28 02:29:57 2013  removing 7599928 relations and 5599928 ideals in 2000000 cliques
  676. Fri Jun 28 02:30:02 2013  commencing in-memory singleton removal
  677. Fri Jun 28 02:30:16 2013  begin with 207319607 relations and 133627221 unique ideals
  678. Fri Jun 28 02:32:39 2013  reduce to 207044996 relations and 127749025 ideals in 7 passes
  679. Fri Jun 28 02:32:39 2013  max relations containing the same ideal: 35
  680. Fri Jun 28 02:33:52 2013  removing 6071514 relations and 4071514 ideals in 2000000 cliques
  681. Fri Jun 28 02:33:57 2013  commencing in-memory singleton removal
  682. Fri Jun 28 02:34:10 2013  begin with 200973482 relations and 127749025 unique ideals
  683. Fri Jun 28 02:36:07 2013  reduce to 200793063 relations and 123495067 ideals in 6 passes
  684. Fri Jun 28 02:36:07 2013  max relations containing the same ideal: 35
  685. Fri Jun 28 02:37:17 2013  removing 5669253 relations and 3669253 ideals in 2000000 cliques
  686. Fri Jun 28 02:37:21 2013  commencing in-memory singleton removal
  687. Fri Jun 28 02:37:33 2013  begin with 195123810 relations and 123495067 unique ideals
  688. Fri Jun 28 02:39:25 2013  reduce to 194973022 relations and 119673345 ideals in 6 passes
  689. Fri Jun 28 02:39:25 2013  max relations containing the same ideal: 35
  690. Fri Jun 28 02:40:33 2013  removing 5473050 relations and 3473050 ideals in 2000000 cliques
  691. Fri Jun 28 02:40:37 2013  commencing in-memory singleton removal
  692. Fri Jun 28 02:40:49 2013  begin with 189499972 relations and 119673345 unique ideals
  693. Fri Jun 28 02:42:36 2013  reduce to 189367587 relations and 116066522 ideals in 6 passes
  694. Fri Jun 28 02:42:36 2013  max relations containing the same ideal: 35
  695. Fri Jun 28 02:43:42 2013  removing 5319820 relations and 3319820 ideals in 2000000 cliques
  696. Fri Jun 28 02:43:46 2013  commencing in-memory singleton removal
  697. Fri Jun 28 02:43:57 2013  begin with 184047767 relations and 116066522 unique ideals
  698. Fri Jun 28 02:45:23 2013  reduce to 183923306 relations and 112620872 ideals in 5 passes
  699. Fri Jun 28 02:45:23 2013  max relations containing the same ideal: 35
  700. Fri Jun 28 02:46:26 2013  removing 5215194 relations and 3215194 ideals in 2000000 cliques
  701. Fri Jun 28 02:46:31 2013  commencing in-memory singleton removal
  702. Fri Jun 28 02:46:41 2013  begin with 178708112 relations and 112620872 unique ideals
  703. Fri Jun 28 02:48:21 2013  reduce to 178589562 relations and 109285839 ideals in 6 passes
  704. Fri Jun 28 02:48:21 2013  max relations containing the same ideal: 35
  705. Fri Jun 28 02:49:22 2013  removing 5150250 relations and 3150250 ideals in 2000000 cliques
  706. Fri Jun 28 02:49:26 2013  commencing in-memory singleton removal
  707. Fri Jun 28 02:49:37 2013  begin with 173439312 relations and 109285839 unique ideals
  708. Fri Jun 28 02:50:56 2013  reduce to 173325616 relations and 106020593 ideals in 5 passes
  709. Fri Jun 28 02:50:56 2013  max relations containing the same ideal: 35
  710. Fri Jun 28 02:51:55 2013  removing 5075228 relations and 3075228 ideals in 2000000 cliques
  711. Fri Jun 28 02:51:59 2013  commencing in-memory singleton removal
  712. Fri Jun 28 02:52:09 2013  begin with 168250388 relations and 106020593 unique ideals
  713. Fri Jun 28 02:53:40 2013  reduce to 168140599 relations and 102834268 ideals in 6 passes
  714. Fri Jun 28 02:53:40 2013  max relations containing the same ideal: 35
  715. Fri Jun 28 02:54:37 2013  removing 5022754 relations and 3022754 ideals in 2000000 cliques
  716. Fri Jun 28 02:54:41 2013  commencing in-memory singleton removal
  717. Fri Jun 28 02:54:51 2013  begin with 163117845 relations and 102834268 unique ideals
  718. Fri Jun 28 02:56:18 2013  reduce to 163007277 relations and 99699592 ideals in 6 passes
  719. Fri Jun 28 02:56:18 2013  max relations containing the same ideal: 35
  720. Fri Jun 28 02:57:13 2013  removing 4987426 relations and 2987426 ideals in 2000000 cliques
  721. Fri Jun 28 02:57:17 2013  commencing in-memory singleton removal
  722. Fri Jun 28 02:57:26 2013  begin with 158019851 relations and 99699592 unique ideals
  723. Fri Jun 28 02:58:36 2013  reduce to 157912776 relations and 96603727 ideals in 5 passes
  724. Fri Jun 28 02:58:36 2013  max relations containing the same ideal: 35
  725. Fri Jun 28 02:59:30 2013  removing 4941518 relations and 2941518 ideals in 2000000 cliques
  726. Fri Jun 28 02:59:34 2013  commencing in-memory singleton removal
  727. Fri Jun 28 02:59:42 2013  begin with 152971258 relations and 96603727 unique ideals
  728. Fri Jun 28 03:00:49 2013  reduce to 152862431 relations and 93551928 ideals in 5 passes
  729. Fri Jun 28 03:00:49 2013  max relations containing the same ideal: 35
  730. Fri Jun 28 03:01:39 2013  removing 4932144 relations and 2932144 ideals in 2000000 cliques
  731. Fri Jun 28 03:01:43 2013  commencing in-memory singleton removal
  732. Fri Jun 28 03:01:51 2013  begin with 147930287 relations and 93551928 unique ideals
  733. Fri Jun 28 03:02:54 2013  reduce to 147825482 relations and 90513585 ideals in 5 passes
  734. Fri Jun 28 03:02:54 2013  max relations containing the same ideal: 35
  735. Fri Jun 28 03:03:44 2013  removing 4875797 relations and 2875797 ideals in 2000000 cliques
  736. Fri Jun 28 03:03:47 2013  commencing in-memory singleton removal
  737. Fri Jun 28 03:03:55 2013  begin with 142949685 relations and 90513585 unique ideals
  738. Fri Jun 28 03:05:06 2013  reduce to 142838384 relations and 87524968 ideals in 6 passes
  739. Fri Jun 28 03:05:06 2013  max relations containing the same ideal: 34
  740. Fri Jun 28 03:05:54 2013  removing 4871508 relations and 2871508 ideals in 2000000 cliques
  741. Fri Jun 28 03:05:58 2013  commencing in-memory singleton removal
  742. Fri Jun 28 03:06:05 2013  begin with 137966876 relations and 87524968 unique ideals
  743. Fri Jun 28 03:07:03 2013  reduce to 137857073 relations and 84542051 ideals in 5 passes
  744. Fri Jun 28 03:07:03 2013  max relations containing the same ideal: 34
  745. Fri Jun 28 03:07:49 2013  removing 4857613 relations and 2857613 ideals in 2000000 cliques
  746. Fri Jun 28 03:07:52 2013  commencing in-memory singleton removal
  747. Fri Jun 28 03:07:59 2013  begin with 132999460 relations and 84542051 unique ideals
  748. Fri Jun 28 03:08:54 2013  reduce to 132890539 relations and 81573925 ideals in 5 passes
  749. Fri Jun 28 03:08:54 2013  max relations containing the same ideal: 34
  750. Fri Jun 28 03:09:39 2013  removing 4842632 relations and 2842632 ideals in 2000000 cliques
  751. Fri Jun 28 03:09:42 2013  commencing in-memory singleton removal
  752. Fri Jun 28 03:09:49 2013  begin with 128047907 relations and 81573925 unique ideals
  753. Fri Jun 28 03:10:51 2013  reduce to 127936449 relations and 78618149 ideals in 6 passes
  754. Fri Jun 28 03:10:51 2013  max relations containing the same ideal: 33
  755. Fri Jun 28 03:11:34 2013  removing 4812611 relations and 2812611 ideals in 2000000 cliques
  756. Fri Jun 28 03:11:37 2013  commencing in-memory singleton removal
  757. Fri Jun 28 03:11:44 2013  begin with 123123838 relations and 78618149 unique ideals
  758. Fri Jun 28 03:12:43 2013  reduce to 123003622 relations and 75683440 ideals in 6 passes
  759. Fri Jun 28 03:12:43 2013  max relations containing the same ideal: 33
  760. Fri Jun 28 03:13:24 2013  removing 4824830 relations and 2824830 ideals in 2000000 cliques
  761. Fri Jun 28 03:13:27 2013  commencing in-memory singleton removal
  762. Fri Jun 28 03:13:34 2013  begin with 118178792 relations and 75683440 unique ideals
  763. Fri Jun 28 03:14:29 2013  reduce to 118059820 relations and 72737678 ideals in 6 passes
  764. Fri Jun 28 03:14:29 2013  max relations containing the same ideal: 33
  765. Fri Jun 28 03:15:09 2013  removing 4801934 relations and 2801934 ideals in 2000000 cliques
  766. Fri Jun 28 03:15:12 2013  commencing in-memory singleton removal
  767. Fri Jun 28 03:15:18 2013  begin with 113257886 relations and 72737678 unique ideals
  768. Fri Jun 28 03:16:02 2013  reduce to 113134060 relations and 69809781 ideals in 5 passes
  769. Fri Jun 28 03:16:02 2013  max relations containing the same ideal: 32
  770. Fri Jun 28 03:16:39 2013  removing 4783235 relations and 2783235 ideals in 2000000 cliques
  771. Fri Jun 28 03:16:42 2013  commencing in-memory singleton removal
  772. Fri Jun 28 03:16:48 2013  begin with 108350825 relations and 69809781 unique ideals
  773. Fri Jun 28 03:17:38 2013  reduce to 108216360 relations and 66889771 ideals in 6 passes
  774. Fri Jun 28 03:17:38 2013  max relations containing the same ideal: 32
  775. Fri Jun 28 03:18:14 2013  removing 4809786 relations and 2809786 ideals in 2000000 cliques
  776. Fri Jun 28 03:18:17 2013  commencing in-memory singleton removal
  777. Fri Jun 28 03:18:22 2013  begin with 103406574 relations and 66889771 unique ideals
  778. Fri Jun 28 03:19:09 2013  reduce to 103273520 relations and 63944581 ideals in 6 passes
  779. Fri Jun 28 03:19:09 2013  max relations containing the same ideal: 31
  780. Fri Jun 28 03:19:44 2013  removing 4794732 relations and 2794732 ideals in 2000000 cliques
  781. Fri Jun 28 03:19:46 2013  commencing in-memory singleton removal
  782. Fri Jun 28 03:19:51 2013  begin with 98478788 relations and 63944581 unique ideals
  783. Fri Jun 28 03:20:28 2013  reduce to 98333795 relations and 61002139 ideals in 5 passes
  784. Fri Jun 28 03:20:28 2013  max relations containing the same ideal: 31
  785. Fri Jun 28 03:21:00 2013  removing 4818846 relations and 2818846 ideals in 2000000 cliques
  786. Fri Jun 28 03:21:03 2013  commencing in-memory singleton removal
  787. Fri Jun 28 03:21:08 2013  begin with 93514949 relations and 61002139 unique ideals
  788. Fri Jun 28 03:21:49 2013  reduce to 93366708 relations and 58032218 ideals in 6 passes
  789. Fri Jun 28 03:21:49 2013  max relations containing the same ideal: 29
  790. Fri Jun 28 03:22:19 2013  removing 4812909 relations and 2812909 ideals in 2000000 cliques
  791. Fri Jun 28 03:22:22 2013  commencing in-memory singleton removal
  792. Fri Jun 28 03:22:26 2013  begin with 88553799 relations and 58032218 unique ideals
  793. Fri Jun 28 03:23:05 2013  reduce to 88392746 relations and 55054958 ideals in 6 passes
  794. Fri Jun 28 03:23:05 2013  max relations containing the same ideal: 29
  795. Fri Jun 28 03:23:34 2013  removing 4797889 relations and 2797889 ideals in 2000000 cliques
  796. Fri Jun 28 03:23:37 2013  commencing in-memory singleton removal
  797. Fri Jun 28 03:23:41 2013  begin with 83594857 relations and 55054958 unique ideals
  798. Fri Jun 28 03:24:16 2013  reduce to 83421944 relations and 52080463 ideals in 6 passes
  799. Fri Jun 28 03:24:16 2013  max relations containing the same ideal: 28
  800. Fri Jun 28 03:24:44 2013  removing 4841368 relations and 2841368 ideals in 2000000 cliques
  801. Fri Jun 28 03:24:46 2013  commencing in-memory singleton removal
  802. Fri Jun 28 03:24:50 2013  begin with 78580576 relations and 52080463 unique ideals
  803. Fri Jun 28 03:25:23 2013  reduce to 78394389 relations and 49048727 ideals in 6 passes
  804. Fri Jun 28 03:25:23 2013  max relations containing the same ideal: 27
  805. Fri Jun 28 03:25:49 2013  removing 4868648 relations and 2868648 ideals in 2000000 cliques
  806. Fri Jun 28 03:25:51 2013  commencing in-memory singleton removal
  807. Fri Jun 28 03:25:55 2013  begin with 73525741 relations and 49048727 unique ideals
  808. Fri Jun 28 03:26:25 2013  reduce to 73324692 relations and 45974371 ideals in 6 passes
  809. Fri Jun 28 03:26:25 2013  max relations containing the same ideal: 27
  810. Fri Jun 28 03:26:50 2013  removing 4894834 relations and 2894834 ideals in 2000000 cliques
  811. Fri Jun 28 03:26:52 2013  commencing in-memory singleton removal
  812. Fri Jun 28 03:26:55 2013  begin with 68429858 relations and 45974371 unique ideals
  813. Fri Jun 28 03:27:23 2013  reduce to 68210850 relations and 42855172 ideals in 6 passes
  814. Fri Jun 28 03:27:23 2013  max relations containing the same ideal: 27
  815. Fri Jun 28 03:27:45 2013  removing 4892537 relations and 2892537 ideals in 2000000 cliques
  816. Fri Jun 28 03:27:48 2013  commencing in-memory singleton removal
  817. Fri Jun 28 03:27:51 2013  begin with 63318313 relations and 42855172 unique ideals
  818. Fri Jun 28 03:28:16 2013  reduce to 63069015 relations and 39706947 ideals in 6 passes
  819. Fri Jun 28 03:28:16 2013  max relations containing the same ideal: 27
  820. Fri Jun 28 03:28:37 2013  removing 4969034 relations and 2969034 ideals in 2000000 cliques
  821. Fri Jun 28 03:28:39 2013  commencing in-memory singleton removal
  822. Fri Jun 28 03:28:42 2013  begin with 58099981 relations and 39706947 unique ideals
  823. Fri Jun 28 03:29:08 2013  reduce to 57827450 relations and 36457555 ideals in 7 passes
  824. Fri Jun 28 03:29:08 2013  max relations containing the same ideal: 25
  825. Fri Jun 28 03:29:27 2013  removing 5003444 relations and 3003444 ideals in 2000000 cliques
  826. Fri Jun 28 03:29:29 2013  commencing in-memory singleton removal
  827. Fri Jun 28 03:29:32 2013  begin with 52824006 relations and 36457555 unique ideals
  828. Fri Jun 28 03:29:55 2013  reduce to 52522358 relations and 33143189 ideals in 7 passes
  829. Fri Jun 28 03:29:55 2013  max relations containing the same ideal: 22
  830. Fri Jun 28 03:30:12 2013  removing 5077714 relations and 3077714 ideals in 2000000 cliques
  831. Fri Jun 28 03:30:15 2013  commencing in-memory singleton removal
  832. Fri Jun 28 03:30:17 2013  begin with 47444644 relations and 33143189 unique ideals
  833. Fri Jun 28 03:30:37 2013  reduce to 47108795 relations and 29718603 ideals in 7 passes
  834. Fri Jun 28 03:30:37 2013  max relations containing the same ideal: 21
  835. Fri Jun 28 03:30:53 2013  removing 5153414 relations and 3153414 ideals in 2000000 cliques
  836. Fri Jun 28 03:30:55 2013  commencing in-memory singleton removal
  837. Fri Jun 28 03:30:56 2013  begin with 41955381 relations and 29718603 unique ideals
  838. Fri Jun 28 03:31:14 2013  reduce to 41585181 relations and 26181842 ideals in 7 passes
  839. Fri Jun 28 03:31:14 2013  max relations containing the same ideal: 20
  840. Fri Jun 28 03:31:27 2013  removing 5217134 relations and 3217134 ideals in 2000000 cliques
  841. Fri Jun 28 03:31:29 2013  commencing in-memory singleton removal
  842. Fri Jun 28 03:31:31 2013  begin with 36368047 relations and 26181842 unique ideals
  843. Fri Jun 28 03:31:47 2013  reduce to 35861295 relations and 22435761 ideals in 8 passes
  844. Fri Jun 28 03:31:47 2013  max relations containing the same ideal: 19
  845. Fri Jun 28 03:31:59 2013  removing 1022582 relations and 645909 ideals in 376673 cliques
  846. Fri Jun 28 03:32:00 2013  commencing in-memory singleton removal
  847. Fri Jun 28 03:32:02 2013  begin with 34838713 relations and 22435761 unique ideals
  848. Fri Jun 28 03:32:15 2013  reduce to 34774535 relations and 21724872 ideals in 7 passes
  849. Fri Jun 28 03:32:15 2013  max relations containing the same ideal: 18
  850. Fri Jun 28 03:32:29 2013  relations with 0 large ideals: 2604016
  851. Fri Jun 28 03:32:29 2013  relations with 1 large ideals: 10443849
  852. Fri Jun 28 03:32:29 2013  relations with 2 large ideals: 13751735
  853. Fri Jun 28 03:32:29 2013  relations with 3 large ideals: 6416621
  854. Fri Jun 28 03:32:29 2013  relations with 4 large ideals: 1313439
  855. Fri Jun 28 03:32:29 2013  relations with 5 large ideals: 180356
  856. Fri Jun 28 03:32:29 2013  relations with 6 large ideals: 47541
  857. Fri Jun 28 03:32:29 2013  relations with 7+ large ideals: 16978
  858. Fri Jun 28 03:32:29 2013  commencing 2-way merge
  859. Fri Jun 28 03:32:43 2013  reduce to 22649318 relation sets and 9599655 unique ideals
  860. Fri Jun 28 03:32:43 2013  commencing full merge
  861. Fri Jun 28 03:34:17 2013  memory use: 979.6 MB
  862. Fri Jun 28 03:34:20 2013  found 12912170 cycles, need 11249218
  863. Fri Jun 28 03:34:23 2013  weight of 11249218 cycles is about 872159875 (77.53/cycle)
  864. Fri Jun 28 03:34:23 2013  distribution of cycle lengths:
  865. Fri Jun 28 03:34:23 2013  1 relations: 2604016
  866. Fri Jun 28 03:34:23 2013  2 relations: 1225909
  867. Fri Jun 28 03:34:23 2013  3 relations: 988412
  868. Fri Jun 28 03:34:23 2013  4 relations: 897402
  869. Fri Jun 28 03:34:23 2013  5 relations: 845702
  870. Fri Jun 28 03:34:23 2013  6 relations: 781279
  871. Fri Jun 28 03:34:23 2013  7 relations: 725369
  872. Fri Jun 28 03:34:23 2013  8 relations: 656066
  873. Fri Jun 28 03:34:23 2013  9 relations: 588064
  874. Fri Jun 28 03:34:23 2013  10+ relations: 1936999
  875. Fri Jun 28 03:34:23 2013  heaviest cycle: 17 relations
  876. Fri Jun 28 03:34:24 2013  commencing cycle optimization
  877. Fri Jun 28 03:34:43 2013  start with 58873719 relations
  878. Fri Jun 28 03:36:05 2013  pruned 5475510 relations
  879. Fri Jun 28 03:36:05 2013  memory use: 1750.9 MB
  880. Fri Jun 28 03:36:05 2013  distribution of cycle lengths:
  881. Fri Jun 28 03:36:05 2013  1 relations: 2604016
  882. Fri Jun 28 03:36:05 2013  2 relations: 1284468
  883. Fri Jun 28 03:36:05 2013  3 relations: 1076789
  884. Fri Jun 28 03:36:05 2013  4 relations: 1008281
  885. Fri Jun 28 03:36:05 2013  5 relations: 982072
  886. Fri Jun 28 03:36:05 2013  6 relations: 917980
  887. Fri Jun 28 03:36:05 2013  7 relations: 849382
  888. Fri Jun 28 03:36:05 2013  8 relations: 729193
  889. Fri Jun 28 03:36:05 2013  9 relations: 604732
  890. Fri Jun 28 03:36:05 2013  10+ relations: 1192305
  891. Fri Jun 28 03:36:05 2013  heaviest cycle: 17 relations
  892. Fri Jun 28 03:36:12 2013  RelProcTime: 26855
  893. Fri Jun 28 03:36:12 2013  
  894. Fri Jun 28 03:36:12 2013  commencing linear algebra
  895. Fri Jun 28 03:36:25 2013  read 11249218 cycles
  896. Fri Jun 28 03:36:43 2013  cycles contain 29450982 unique relations
  897. Fri Jun 28 03:40:17 2013  read 29450982 relations
  898. Fri Jun 28 03:40:48 2013  using 20 quadratic characters above 2147483630
  899. Fri Jun 28 03:42:36 2013  building initial matrix
  900. Fri Jun 28 03:46:16 2013  memory use: 4038.3 MB
  901. Fri Jun 28 03:46:20 2013  read 11249218 cycles
  902. Fri Jun 28 03:46:21 2013  matrix is 11245796 x 11249218 (3379.3 MB) with weight 984503052 (87.52/col)
  903. Fri Jun 28 03:46:21 2013  sparse part has weight 762115079 (67.75/col)
  904. Fri Jun 28 03:48:20 2013  filtering completed in 3 passes
  905. Fri Jun 28 03:48:22 2013  matrix is 11178659 x 11178859 (3367.1 MB) with weight 980779275 (87.74/col)
  906. Fri Jun 28 03:48:22 2013  sparse part has weight 759688071 (67.96/col)
  907. Fri Jun 28 03:48:59 2013  matrix starts at (0, 0)
  908. Fri Jun 28 03:48:59 2013  matrix is 11178659 x 11178859 (3367.1 MB) with weight 980779275 (87.74/col)
  909. Fri Jun 28 03:48:59 2013  sparse part has weight 759688071 (67.96/col)
  910. Fri Jun 28 03:48:59 2013  saving the first 48 matrix rows for later
  911. Fri Jun 28 03:49:01 2013  matrix includes 64 packed rows
  912. Fri Jun 28 03:49:01 2013  matrix is 11178611 x 11178859 (3212.4 MB) with weight 780857083 (69.85/col)
  913. Fri Jun 28 03:49:01 2013  sparse part has weight 730327403 (65.33/col)
  914. Fri Jun 28 03:49:01 2013  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  915. Fri Jun 28 03:49:29 2013  commencing Lanczos iteration (4 threads)
  916. Fri Jun 28 03:49:29 2013  memory use: 2671.5 MB
  917. Fri Jun 28 03:50:04 2013  linear algebra at 0.0%, ETA 67h24m
  918. Fri Jun 28 03:50:15 2013  checkpointing every 170000 dimensions
  919.  
  920.   { ran for about 20 hours, then the computer crashed }
  921.  
  922. Sun Jul  7 21:26:44 2013  Msieve v. 1.52 (SVN 900)
  923. Sun Jul  7 21:26:44 2013  random seeds: bf4beaf3 941d9708
  924. Sun Jul  7 21:26:44 2013  factoring 1492191619325108507723471588437925140042914135922743641871478655529094278739663793640035757175821348474470666052486943970351473153957129226578291137621605445241366686467265926434337338503110817074436498273691849970314009 (220 digits)
  925. Sun Jul  7 21:26:44 2013  no P-1/P+1/ECM available, skipping
  926. Sun Jul  7 21:26:44 2013  commencing number field sieve (220-digit input)
  927. Sun Jul  7 21:26:44 2013  R0: -1188518561323126046432205871807859915657177
  928. Sun Jul  7 21:26:44 2013  R1: 734544867157818093234908902110449296423351
  929. Sun Jul  7 21:26:44 2013  A0: 6
  930. Sun Jul  7 21:26:44 2013  A1: -27
  931. Sun Jul  7 21:26:44 2013  A2: 45
  932. Sun Jul  7 21:26:44 2013  A3: -15
  933. Sun Jul  7 21:26:44 2013  A4: 30
  934. Sun Jul  7 21:26:44 2013  A5: 3
  935. Sun Jul  7 21:26:44 2013  A6: 4
  936. Sun Jul  7 21:26:44 2013  skew 1.00, size 1.716e-12, alpha 0.306, combined = 1.730e-13 rroots = 0
  937. Sun Jul  7 21:26:44 2013  
  938. Sun Jul  7 21:26:44 2013  commencing linear algebra
  939. Sun Jul  7 21:26:46 2013  matrix starts at (0, 0)
  940. Sun Jul  7 21:26:47 2013  matrix is 11178659 x 11178859 (3367.1 MB) with weight 980779275 (87.74/col)
  941. Sun Jul  7 21:26:47 2013  sparse part has weight 759688071 (67.96/col)
  942. Sun Jul  7 21:26:47 2013  saving the first 48 matrix rows for later
  943. Sun Jul  7 21:26:48 2013  matrix includes 64 packed rows
  944. Sun Jul  7 21:26:49 2013  matrix is 11178611 x 11178859 (3212.4 MB) with weight 780857083 (69.85/col)
  945. Sun Jul  7 21:26:49 2013  sparse part has weight 730327403 (65.33/col)
  946. Sun Jul  7 21:26:49 2013  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  947. Sun Jul  7 21:27:16 2013  commencing Lanczos iteration (4 threads)
  948. Sun Jul  7 21:27:16 2013  memory use: 2671.5 MB
  949. Sun Jul  7 21:27:17 2013  restarting at iteration 51159 (dim = 3234953)
  950. Sun Jul  7 21:27:39 2013  checkpointing every 180000 dimensions
  951. Sun Jul  7 21:27:49 2013  linear algebra at 29.0%, ETA 46h30m
  952. Tue Jul  9 19:43:31 2013  lanczos halted after 176777 iterations (dim = 11178603)
  953. Tue Jul  9 19:43:41 2013  recovered 32 nontrivial dependencies
  954. Tue Jul  9 19:43:41 2013  BLanczosTime: 166617
  955. Tue Jul  9 19:43:41 2013  elapsed time 46:16:57
  956. Tue Jul  9 19:43:41 2013  
  957. Tue Jul  9 19:43:41 2013  
  958. Tue Jul  9 19:43:41 2013  Msieve v. 1.52 (SVN 900)
  959. Tue Jul  9 19:43:41 2013  random seeds: 7483c964 ddc17185
  960. Tue Jul  9 19:43:41 2013  factoring 1492191619325108507723471588437925140042914135922743641871478655529094278739663793640035757175821348474470666052486943970351473153957129226578291137621605445241366686467265926434337338503110817074436498273691849970314009 (220 digits)
  961. Tue Jul  9 19:43:42 2013  no P-1/P+1/ECM available, skipping
  962. Tue Jul  9 19:43:42 2013  commencing number field sieve (220-digit input)
  963. Tue Jul  9 19:43:42 2013  R0: -1188518561323126046432205871807859915657177
  964. Tue Jul  9 19:43:42 2013  R1: 734544867157818093234908902110449296423351
  965. Tue Jul  9 19:43:42 2013  A0: 6
  966. Tue Jul  9 19:43:42 2013  A1: -27
  967. Tue Jul  9 19:43:42 2013  A2: 45
  968. Tue Jul  9 19:43:42 2013  A3: -15
  969. Tue Jul  9 19:43:42 2013  A4: 30
  970. Tue Jul  9 19:43:42 2013  A5: 3
  971. Tue Jul  9 19:43:42 2013  A6: 4
  972. Tue Jul  9 19:43:42 2013  skew 1.00, size 1.716e-12, alpha 0.306, combined = 1.730e-13 rroots = 0
  973. Tue Jul  9 19:43:42 2013  
  974. Tue Jul  9 19:43:42 2013  commencing square root phase
  975. Tue Jul  9 19:43:42 2013  reading relations for dependency 1
  976. Tue Jul  9 19:43:43 2013  read 5587178 cycles
  977. Tue Jul  9 19:43:48 2013  cycles contain 14686646 unique relations
  978. Tue Jul  9 19:45:46 2013  read 14686646 relations
  979. Tue Jul  9 19:46:45 2013  multiplying 14686646 relations
  980. Tue Jul  9 19:56:54 2013  multiply complete, coefficients have about 421.21 million bits
  981. Tue Jul  9 19:56:56 2013  initial square root is modulo 36128977
  982. Tue Jul  9 20:07:57 2013  found factor: 992769881535422887462241334521286223636121923288731288193339
  983. Tue Jul  9 20:07:57 2013  reading relations for dependency 2
  984. Tue Jul  9 20:07:58 2013  read 5590946 cycles
  985. Tue Jul  9 20:08:03 2013  cycles contain 14694074 unique relations
  986. Tue Jul  9 20:10:01 2013  read 14694074 relations
  987. Tue Jul  9 20:10:59 2013  multiplying 14694074 relations
  988. Tue Jul  9 20:21:07 2013  multiply complete, coefficients have about 421.42 million bits
  989. Tue Jul  9 20:21:09 2013  initial square root is modulo 36448567
  990. Tue Jul  9 20:32:31 2013  GCD is N, no factor found
  991. Tue Jul  9 20:32:31 2013  reading relations for dependency 3
  992. Tue Jul  9 20:32:34 2013  read 5586603 cycles
  993. Tue Jul  9 20:32:39 2013  cycles contain 14681522 unique relations
  994. Tue Jul  9 20:35:05 2013  read 14681522 relations
  995. Tue Jul  9 20:36:03 2013  multiplying 14681522 relations
  996. Tue Jul  9 20:46:17 2013  multiply complete, coefficients have about 421.06 million bits
  997. Tue Jul  9 20:46:18 2013  initial square root is modulo 35910569
  998. Tue Jul  9 20:57:25 2013  sqrtTime: 4423
  999. Tue Jul  9 20:57:25 2013  prp57 factor: 573628245371687332544218242204105745075897662368744821801
  1000. Tue Jul  9 20:57:25 2013  prp60 factor: 992769881535422887462241334521286223636121923288731288193339
  1001. Tue Jul  9 20:57:25 2013  prp103 factor: 2620266567162825945666592480637866269873785057530355247418444127869126520357247374912312375218160273731
  1002. Tue Jul  9 20:57:25 2013  elapsed time 01:13:44
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