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  1. Fri Jan 05 20:50:37 2018  
  2. Fri Jan 05 20:50:37 2018  
  3. Fri Jan 05 20:50:37 2018  Msieve v. 1.52 (SVN unknown)
  4. Fri Jan 05 20:50:37 2018  random seeds: 7ad59df0 09df6d62
  5. Fri Jan 05 20:50:37 2018  factoring 676870440131162186790205260284115103229905992405944474763786965158347196908998606158829512914913741518518550185426278771154202748468786511992582732124649322376550585259441177832426707359430632204475614844271700714398827407169704953 (231 digits)
  6. Fri Jan 05 20:50:38 2018  no P-1/P+1/ECM available, skipping
  7. Fri Jan 05 20:50:38 2018  commencing number field sieve (231-digit input)
  8. Fri Jan 05 20:50:38 2018  R0: 4491199828872408503792328704
  9. Fri Jan 05 20:50:38 2018  R1: -559494740587480879172162808385362976196641
  10. Fri Jan 05 20:50:38 2018  A0: 6241
  11. Fri Jan 05 20:50:38 2018  A1: 0
  12. Fri Jan 05 20:50:38 2018  A2: 0
  13. Fri Jan 05 20:50:38 2018  A3: 0
  14. Fri Jan 05 20:50:38 2018  A4: 0
  15. Fri Jan 05 20:50:38 2018  A5: 0
  16. Fri Jan 05 20:50:38 2018  A6: 134
  17. Fri Jan 05 20:50:38 2018  skew 1.90, size 6.549e-013, alpha -0.251, combined = 8.926e-014 rroots = 0
  18. Fri Jan 05 20:50:38 2018  
  19. Fri Jan 05 20:50:38 2018  commencing relation filtering
  20. Fri Jan 05 20:50:38 2018  setting target matrix density to 134.0
  21. Fri Jan 05 20:50:38 2018  estimated available RAM is 16316.6 MB
  22. Fri Jan 05 20:50:38 2018  commencing duplicate removal, pass 1
  23. Fri Jan 05 20:53:56 2018  error -1 reading relation 21511591
  24. Fri Jan 05 20:55:16 2018  error -15 reading relation 30205355
  25. Fri Jan 05 20:56:01 2018  error -15 reading relation 35194702
  26. Fri Jan 05 20:56:04 2018  error -5 reading relation 35454061
  27. Fri Jan 05 20:56:04 2018  error -9 reading relation 35486403
  28. Fri Jan 05 20:56:11 2018  error -9 reading relation 36293464
  29. Fri Jan 05 20:56:58 2018  error -9 reading relation 41499405
  30. Fri Jan 05 20:57:07 2018  error -9 reading relation 42383388
  31. Fri Jan 05 20:57:30 2018  error -9 reading relation 44840316
  32. Fri Jan 05 20:57:55 2018  error -5 reading relation 47564982
  33. Fri Jan 05 22:18:24 2018  error -1 reading relation 570723954
  34. Fri Jan 05 22:18:24 2018  error -5 reading relation 570741631
  35. Fri Jan 05 22:18:24 2018  error -9 reading relation 570763918
  36. Fri Jan 05 22:18:24 2018  error -9 reading relation 570789342
  37. Fri Jan 05 22:18:25 2018  error -15 reading relation 570888204
  38. Fri Jan 05 22:18:26 2018  error -15 reading relation 570952786
  39. Fri Jan 05 22:18:26 2018  error -9 reading relation 570971582
  40. Fri Jan 05 22:18:26 2018  error -15 reading relation 570981588
  41. Fri Jan 05 22:18:26 2018  skipped 326 relations with b > 2^32
  42. Fri Jan 05 22:18:26 2018  found 141637903 hash collisions in 570995583 relations
  43. Fri Jan 05 22:18:54 2018  added 1218850 free relations
  44. Fri Jan 05 22:18:54 2018  commencing duplicate removal, pass 2
  45. Fri Jan 05 22:32:22 2018  found 135279836 duplicates and 436934597 unique relations
  46. Fri Jan 05 22:32:22 2018  memory use: 4518.0 MB
  47. Fri Jan 05 22:32:22 2018  reading ideals above 399966208
  48. Fri Jan 05 22:32:23 2018  commencing singleton removal, initial pass
  49. Fri Jan 05 23:47:38 2018  memory use: 6024.0 MB
  50. Fri Jan 05 23:47:38 2018  reading all ideals from disk
  51. Fri Jan 05 23:48:49 2018  memory use: 7056.8 MB
  52. Fri Jan 05 23:49:06 2018  commencing in-memory singleton removal
  53. Fri Jan 05 23:49:21 2018  begin with 436934597 relations and 312328812 unique ideals
  54. Fri Jan 05 23:51:53 2018  reduce to 327344945 relations and 194387176 ideals in 11 passes
  55. Fri Jan 05 23:51:53 2018  max relations containing the same ideal: 51
  56. Fri Jan 05 23:52:17 2018  reading ideals above 720000
  57. Fri Jan 05 23:52:17 2018  commencing singleton removal, initial pass
  58. Sat Jan 06 01:02:49 2018  memory use: 6024.0 MB
  59. Sat Jan 06 01:02:49 2018  reading large ideals from disk
  60. Sat Jan 06 01:08:41 2018  keeping 210326715 ideals with weight <= 20, target excess is 26728394
  61. Sat Jan 06 01:18:15 2018  memory use: 7284.5 MB
  62. Sat Jan 06 01:18:15 2018  commencing in-memory singleton removal
  63. Sat Jan 06 01:18:29 2018  begin with 327344945 relations and 210326715 unique ideals
  64. Sat Jan 06 01:19:58 2018  reduce to 327342568 relations and 210324338 ideals in 6 passes
  65. Sat Jan 06 01:19:58 2018  max relations containing the same ideal: 20
  66. Sat Jan 06 01:21:20 2018  removing 10020144 relations and 8020144 ideals in 2000000 cliques
  67. Sat Jan 06 01:21:25 2018  commencing in-memory singleton removal
  68. Sat Jan 06 01:21:37 2018  begin with 317322424 relations and 210324338 unique ideals
  69. Sat Jan 06 01:23:21 2018  reduce to 317052354 relations and 202031809 ideals in 7 passes
  70. Sat Jan 06 01:23:21 2018  max relations containing the same ideal: 20
  71. Sat Jan 06 01:24:39 2018  removing 7620437 relations and 5620437 ideals in 2000000 cliques
  72. Sat Jan 06 01:24:43 2018  commencing in-memory singleton removal
  73. Sat Jan 06 01:24:56 2018  begin with 309431917 relations and 202031809 unique ideals
  74. Sat Jan 06 01:26:20 2018  reduce to 309249004 relations and 196227159 ideals in 6 passes
  75. Sat Jan 06 01:26:20 2018  max relations containing the same ideal: 20
  76. Sat Jan 06 01:27:37 2018  removing 6950366 relations and 4950366 ideals in 2000000 cliques
  77. Sat Jan 06 01:27:41 2018  commencing in-memory singleton removal
  78. Sat Jan 06 01:27:52 2018  begin with 302298638 relations and 196227159 unique ideals
  79. Sat Jan 06 01:29:15 2018  reduce to 302144723 relations and 191121811 ideals in 6 passes
  80. Sat Jan 06 01:29:15 2018  max relations containing the same ideal: 20
  81. Sat Jan 06 01:30:29 2018  removing 6572961 relations and 4572961 ideals in 2000000 cliques
  82. Sat Jan 06 01:30:33 2018  commencing in-memory singleton removal
  83. Sat Jan 06 01:30:45 2018  begin with 295571762 relations and 191121811 unique ideals
  84. Sat Jan 06 01:32:05 2018  reduce to 295430796 relations and 186406846 ideals in 6 passes
  85. Sat Jan 06 01:32:05 2018  max relations containing the same ideal: 20
  86. Sat Jan 06 01:33:19 2018  removing 6351970 relations and 4351970 ideals in 2000000 cliques
  87. Sat Jan 06 01:33:22 2018  commencing in-memory singleton removal
  88. Sat Jan 06 01:33:33 2018  begin with 289078826 relations and 186406846 unique ideals
  89. Sat Jan 06 01:35:04 2018  reduce to 288949503 relations and 181924606 ideals in 7 passes
  90. Sat Jan 06 01:35:04 2018  max relations containing the same ideal: 20
  91. Sat Jan 06 01:36:15 2018  removing 6148138 relations and 4148138 ideals in 2000000 cliques
  92. Sat Jan 06 01:36:18 2018  commencing in-memory singleton removal
  93. Sat Jan 06 01:36:29 2018  begin with 282801365 relations and 181924606 unique ideals
  94. Sat Jan 06 01:37:44 2018  reduce to 282675147 relations and 177649305 ideals in 6 passes
  95. Sat Jan 06 01:37:44 2018  max relations containing the same ideal: 20
  96. Sat Jan 06 01:38:54 2018  removing 6049168 relations and 4049168 ideals in 2000000 cliques
  97. Sat Jan 06 01:38:57 2018  commencing in-memory singleton removal
  98. Sat Jan 06 01:39:08 2018  begin with 276625979 relations and 177649305 unique ideals
  99. Sat Jan 06 01:40:21 2018  reduce to 276506807 relations and 173480021 ideals in 6 passes
  100. Sat Jan 06 01:40:21 2018  max relations containing the same ideal: 20
  101. Sat Jan 06 01:41:30 2018  removing 5929574 relations and 3929574 ideals in 2000000 cliques
  102. Sat Jan 06 01:41:34 2018  commencing in-memory singleton removal
  103. Sat Jan 06 01:41:44 2018  begin with 270577233 relations and 173480021 unique ideals
  104. Sat Jan 06 01:42:55 2018  reduce to 270460160 relations and 169432423 ideals in 6 passes
  105. Sat Jan 06 01:42:55 2018  max relations containing the same ideal: 20
  106. Sat Jan 06 01:44:02 2018  removing 5862806 relations and 3862806 ideals in 2000000 cliques
  107. Sat Jan 06 01:44:05 2018  commencing in-memory singleton removal
  108. Sat Jan 06 01:44:15 2018  begin with 264597354 relations and 169432423 unique ideals
  109. Sat Jan 06 01:45:36 2018  reduce to 264486024 relations and 165457378 ideals in 7 passes
  110. Sat Jan 06 01:45:36 2018  max relations containing the same ideal: 20
  111. Sat Jan 06 01:46:41 2018  removing 5773533 relations and 3773533 ideals in 2000000 cliques
  112. Sat Jan 06 01:46:44 2018  commencing in-memory singleton removal
  113. Sat Jan 06 01:46:53 2018  begin with 258712491 relations and 165457378 unique ideals
  114. Sat Jan 06 01:48:01 2018  reduce to 258599111 relations and 161569523 ideals in 6 passes
  115. Sat Jan 06 01:48:01 2018  max relations containing the same ideal: 20
  116. Sat Jan 06 01:49:04 2018  removing 5763828 relations and 3763828 ideals in 2000000 cliques
  117. Sat Jan 06 01:49:07 2018  commencing in-memory singleton removal
  118. Sat Jan 06 01:49:16 2018  begin with 252835283 relations and 161569523 unique ideals
  119. Sat Jan 06 01:50:22 2018  reduce to 252729014 relations and 157698475 ideals in 6 passes
  120. Sat Jan 06 01:50:22 2018  max relations containing the same ideal: 20
  121. Sat Jan 06 01:51:23 2018  removing 5614270 relations and 3614270 ideals in 2000000 cliques
  122. Sat Jan 06 01:51:26 2018  commencing in-memory singleton removal
  123. Sat Jan 06 01:51:35 2018  begin with 247114744 relations and 157698475 unique ideals
  124. Sat Jan 06 01:52:39 2018  reduce to 246998423 relations and 153966803 ideals in 6 passes
  125. Sat Jan 06 01:52:39 2018  max relations containing the same ideal: 20
  126. Sat Jan 06 01:53:39 2018  removing 5660972 relations and 3660972 ideals in 2000000 cliques
  127. Sat Jan 06 01:53:42 2018  commencing in-memory singleton removal
  128. Sat Jan 06 01:53:51 2018  begin with 241337451 relations and 153966803 unique ideals
  129. Sat Jan 06 01:54:52 2018  reduce to 241228572 relations and 150195913 ideals in 6 passes
  130. Sat Jan 06 01:54:52 2018  max relations containing the same ideal: 20
  131. Sat Jan 06 01:55:51 2018  removing 5579360 relations and 3579360 ideals in 2000000 cliques
  132. Sat Jan 06 01:55:54 2018  commencing in-memory singleton removal
  133. Sat Jan 06 01:56:03 2018  begin with 235649212 relations and 150195913 unique ideals
  134. Sat Jan 06 01:57:03 2018  reduce to 235543125 relations and 146509469 ideals in 6 passes
  135. Sat Jan 06 01:57:03 2018  max relations containing the same ideal: 20
  136. Sat Jan 06 01:58:00 2018  removing 5580013 relations and 3580013 ideals in 2000000 cliques
  137. Sat Jan 06 01:58:03 2018  commencing in-memory singleton removal
  138. Sat Jan 06 01:58:11 2018  begin with 229963112 relations and 146509469 unique ideals
  139. Sat Jan 06 01:59:19 2018  reduce to 229858563 relations and 142823823 ideals in 7 passes
  140. Sat Jan 06 01:59:19 2018  max relations containing the same ideal: 20
  141. Sat Jan 06 02:00:14 2018  removing 5435060 relations and 3435060 ideals in 2000000 cliques
  142. Sat Jan 06 02:00:17 2018  commencing in-memory singleton removal
  143. Sat Jan 06 02:00:25 2018  begin with 224423503 relations and 142823823 unique ideals
  144. Sat Jan 06 02:01:21 2018  reduce to 224297660 relations and 139261527 ideals in 6 passes
  145. Sat Jan 06 02:01:21 2018  max relations containing the same ideal: 20
  146. Sat Jan 06 02:02:16 2018  removing 5511908 relations and 3511908 ideals in 2000000 cliques
  147. Sat Jan 06 02:02:19 2018  commencing in-memory singleton removal
  148. Sat Jan 06 02:02:27 2018  begin with 218785752 relations and 139261527 unique ideals
  149. Sat Jan 06 02:03:21 2018  reduce to 218673330 relations and 135635967 ideals in 6 passes
  150. Sat Jan 06 02:03:21 2018  max relations containing the same ideal: 20
  151. Sat Jan 06 02:04:14 2018  removing 5470341 relations and 3470341 ideals in 2000000 cliques
  152. Sat Jan 06 02:04:17 2018  commencing in-memory singleton removal
  153. Sat Jan 06 02:04:24 2018  begin with 213202989 relations and 135635967 unique ideals
  154. Sat Jan 06 02:05:26 2018  reduce to 213090044 relations and 132051389 ideals in 7 passes
  155. Sat Jan 06 02:05:26 2018  max relations containing the same ideal: 20
  156. Sat Jan 06 02:06:17 2018  removing 5472140 relations and 3472140 ideals in 2000000 cliques
  157. Sat Jan 06 02:06:20 2018  commencing in-memory singleton removal
  158. Sat Jan 06 02:06:27 2018  begin with 207617904 relations and 132051389 unique ideals
  159. Sat Jan 06 02:07:26 2018  reduce to 207506735 relations and 128466846 ideals in 7 passes
  160. Sat Jan 06 02:07:26 2018  max relations containing the same ideal: 20
  161. Sat Jan 06 02:08:17 2018  removing 5411364 relations and 3411364 ideals in 2000000 cliques
  162. Sat Jan 06 02:08:20 2018  commencing in-memory singleton removal
  163. Sat Jan 06 02:08:27 2018  begin with 202095371 relations and 128466846 unique ideals
  164. Sat Jan 06 02:09:16 2018  reduce to 201983769 relations and 124942541 ideals in 6 passes
  165. Sat Jan 06 02:09:16 2018  max relations containing the same ideal: 20
  166. Sat Jan 06 02:10:05 2018  removing 5451287 relations and 3451287 ideals in 2000000 cliques
  167. Sat Jan 06 02:10:07 2018  commencing in-memory singleton removal
  168. Sat Jan 06 02:10:14 2018  begin with 196532482 relations and 124942541 unique ideals
  169. Sat Jan 06 02:11:02 2018  reduce to 196420516 relations and 121377943 ideals in 6 passes
  170. Sat Jan 06 02:11:02 2018  max relations containing the same ideal: 20
  171. Sat Jan 06 02:11:49 2018  removing 5376301 relations and 3376301 ideals in 2000000 cliques
  172. Sat Jan 06 02:11:51 2018  commencing in-memory singleton removal
  173. Sat Jan 06 02:11:58 2018  begin with 191044215 relations and 121377943 unique ideals
  174. Sat Jan 06 02:12:52 2018  reduce to 190925354 relations and 117881239 ideals in 7 passes
  175. Sat Jan 06 02:12:52 2018  max relations containing the same ideal: 20
  176. Sat Jan 06 02:13:39 2018  removing 5302467 relations and 3302467 ideals in 2000000 cliques
  177. Sat Jan 06 02:13:42 2018  commencing in-memory singleton removal
  178. Sat Jan 06 02:13:48 2018  begin with 185622887 relations and 117881239 unique ideals
  179. Sat Jan 06 02:14:32 2018  reduce to 185484715 relations and 114438812 ideals in 6 passes
  180. Sat Jan 06 02:14:32 2018  max relations containing the same ideal: 20
  181. Sat Jan 06 02:15:17 2018  removing 5382205 relations and 3382205 ideals in 2000000 cliques
  182. Sat Jan 06 02:15:19 2018  commencing in-memory singleton removal
  183. Sat Jan 06 02:15:25 2018  begin with 180102510 relations and 114438812 unique ideals
  184. Sat Jan 06 02:16:15 2018  reduce to 179979669 relations and 110932076 ideals in 7 passes
  185. Sat Jan 06 02:16:15 2018  max relations containing the same ideal: 20
  186. Sat Jan 06 02:16:57 2018  removing 5383988 relations and 3383988 ideals in 2000000 cliques
  187. Sat Jan 06 02:17:00 2018  commencing in-memory singleton removal
  188. Sat Jan 06 02:17:05 2018  begin with 174595681 relations and 110932076 unique ideals
  189. Sat Jan 06 02:17:47 2018  reduce to 174474393 relations and 107425116 ideals in 6 passes
  190. Sat Jan 06 02:17:47 2018  max relations containing the same ideal: 20
  191. Sat Jan 06 02:18:28 2018  removing 5365703 relations and 3365703 ideals in 2000000 cliques
  192. Sat Jan 06 02:18:31 2018  commencing in-memory singleton removal
  193. Sat Jan 06 02:18:36 2018  begin with 169108690 relations and 107425116 unique ideals
  194. Sat Jan 06 02:19:16 2018  reduce to 168984160 relations and 103933200 ideals in 6 passes
  195. Sat Jan 06 02:19:16 2018  max relations containing the same ideal: 20
  196. Sat Jan 06 02:19:55 2018  removing 5309973 relations and 3309973 ideals in 2000000 cliques
  197. Sat Jan 06 02:19:57 2018  commencing in-memory singleton removal
  198. Sat Jan 06 02:20:03 2018  begin with 163674187 relations and 103933200 unique ideals
  199. Sat Jan 06 02:20:40 2018  reduce to 163531301 relations and 100478257 ideals in 6 passes
  200. Sat Jan 06 02:20:40 2018  max relations containing the same ideal: 20
  201. Sat Jan 06 02:21:18 2018  removing 5352724 relations and 3352724 ideals in 2000000 cliques
  202. Sat Jan 06 02:21:21 2018  commencing in-memory singleton removal
  203. Sat Jan 06 02:21:26 2018  begin with 158178577 relations and 100478257 unique ideals
  204. Sat Jan 06 02:22:08 2018  reduce to 158040660 relations and 96985445 ideals in 7 passes
  205. Sat Jan 06 02:22:08 2018  max relations containing the same ideal: 20
  206. Sat Jan 06 02:22:45 2018  removing 5366263 relations and 3366263 ideals in 2000000 cliques
  207. Sat Jan 06 02:22:47 2018  commencing in-memory singleton removal
  208. Sat Jan 06 02:22:52 2018  begin with 152674397 relations and 96985445 unique ideals
  209. Sat Jan 06 02:23:26 2018  reduce to 152543599 relations and 93486248 ideals in 6 passes
  210. Sat Jan 06 02:23:26 2018  max relations containing the same ideal: 19
  211. Sat Jan 06 02:24:02 2018  removing 5300625 relations and 3300625 ideals in 2000000 cliques
  212. Sat Jan 06 02:24:04 2018  commencing in-memory singleton removal
  213. Sat Jan 06 02:24:08 2018  begin with 147242974 relations and 93486248 unique ideals
  214. Sat Jan 06 02:24:46 2018  reduce to 147091929 relations and 90032042 ideals in 7 passes
  215. Sat Jan 06 02:24:46 2018  max relations containing the same ideal: 19
  216. Sat Jan 06 02:25:21 2018  removing 5289382 relations and 3289382 ideals in 2000000 cliques
  217. Sat Jan 06 02:25:23 2018  commencing in-memory singleton removal
  218. Sat Jan 06 02:25:27 2018  begin with 141802547 relations and 90032042 unique ideals
  219. Sat Jan 06 02:26:09 2018  reduce to 141639917 relations and 86577392 ideals in 8 passes
  220. Sat Jan 06 02:26:09 2018  max relations containing the same ideal: 19
  221. Sat Jan 06 02:26:42 2018  removing 5378741 relations and 3378741 ideals in 2000000 cliques
  222. Sat Jan 06 02:26:44 2018  commencing in-memory singleton removal
  223. Sat Jan 06 02:26:48 2018  begin with 136261176 relations and 86577392 unique ideals
  224. Sat Jan 06 02:27:22 2018  reduce to 136117233 relations and 83052330 ideals in 7 passes
  225. Sat Jan 06 02:27:22 2018  max relations containing the same ideal: 19
  226. Sat Jan 06 02:27:53 2018  removing 5337522 relations and 3337522 ideals in 2000000 cliques
  227. Sat Jan 06 02:27:55 2018  commencing in-memory singleton removal
  228. Sat Jan 06 02:27:59 2018  begin with 130779711 relations and 83052330 unique ideals
  229. Sat Jan 06 02:28:32 2018  reduce to 130605019 relations and 79537244 ideals in 7 passes
  230. Sat Jan 06 02:28:32 2018  max relations containing the same ideal: 19
  231. Sat Jan 06 02:29:01 2018  removing 5350422 relations and 3350422 ideals in 2000000 cliques
  232. Sat Jan 06 02:29:03 2018  commencing in-memory singleton removal
  233. Sat Jan 06 02:29:07 2018  begin with 125254597 relations and 79537244 unique ideals
  234. Sat Jan 06 02:29:38 2018  reduce to 125074196 relations and 76003235 ideals in 7 passes
  235. Sat Jan 06 02:29:38 2018  max relations containing the same ideal: 19
  236. Sat Jan 06 02:30:06 2018  removing 5313070 relations and 3313070 ideals in 2000000 cliques
  237. Sat Jan 06 02:30:08 2018  commencing in-memory singleton removal
  238. Sat Jan 06 02:30:12 2018  begin with 119761126 relations and 76003235 unique ideals
  239. Sat Jan 06 02:30:45 2018  reduce to 119577810 relations and 72503361 ideals in 8 passes
  240. Sat Jan 06 02:30:45 2018  max relations containing the same ideal: 19
  241. Sat Jan 06 02:31:12 2018  removing 5344903 relations and 3344903 ideals in 2000000 cliques
  242. Sat Jan 06 02:31:14 2018  commencing in-memory singleton removal
  243. Sat Jan 06 02:31:18 2018  begin with 114232907 relations and 72503361 unique ideals
  244. Sat Jan 06 02:31:45 2018  reduce to 114024907 relations and 68946183 ideals in 7 passes
  245. Sat Jan 06 02:31:45 2018  max relations containing the same ideal: 19
  246. Sat Jan 06 02:32:11 2018  removing 5411413 relations and 3411413 ideals in 2000000 cliques
  247. Sat Jan 06 02:32:13 2018  commencing in-memory singleton removal
  248. Sat Jan 06 02:32:16 2018  begin with 108613494 relations and 68946183 unique ideals
  249. Sat Jan 06 02:32:42 2018  reduce to 108409696 relations and 65326693 ideals in 7 passes
  250. Sat Jan 06 02:32:42 2018  max relations containing the same ideal: 19
  251. Sat Jan 06 02:33:07 2018  removing 5368986 relations and 3368986 ideals in 2000000 cliques
  252. Sat Jan 06 02:33:09 2018  commencing in-memory singleton removal
  253. Sat Jan 06 02:33:11 2018  begin with 103040710 relations and 65326693 unique ideals
  254. Sat Jan 06 02:33:35 2018  reduce to 102828629 relations and 61741140 ideals in 7 passes
  255. Sat Jan 06 02:33:35 2018  max relations containing the same ideal: 18
  256. Sat Jan 06 02:33:58 2018  removing 5435370 relations and 3435370 ideals in 2000000 cliques
  257. Sat Jan 06 02:34:00 2018  commencing in-memory singleton removal
  258. Sat Jan 06 02:34:03 2018  begin with 97393259 relations and 61741140 unique ideals
  259. Sat Jan 06 02:34:25 2018  reduce to 97177115 relations and 58085045 ideals in 7 passes
  260. Sat Jan 06 02:34:25 2018  max relations containing the same ideal: 17
  261. Sat Jan 06 02:34:47 2018  removing 5473505 relations and 3473505 ideals in 2000000 cliques
  262. Sat Jan 06 02:34:48 2018  commencing in-memory singleton removal
  263. Sat Jan 06 02:34:51 2018  begin with 91703610 relations and 58085045 unique ideals
  264. Sat Jan 06 02:35:14 2018  reduce to 91481719 relations and 54384910 ideals in 8 passes
  265. Sat Jan 06 02:35:14 2018  max relations containing the same ideal: 17
  266. Sat Jan 06 02:35:35 2018  removing 5509261 relations and 3509261 ideals in 2000000 cliques
  267. Sat Jan 06 02:35:37 2018  commencing in-memory singleton removal
  268. Sat Jan 06 02:35:39 2018  begin with 85972458 relations and 54384910 unique ideals
  269. Sat Jan 06 02:35:58 2018  reduce to 85755334 relations and 50653990 ideals in 7 passes
  270. Sat Jan 06 02:35:58 2018  max relations containing the same ideal: 16
  271. Sat Jan 06 02:36:17 2018  removing 5513820 relations and 3513820 ideals in 2000000 cliques
  272. Sat Jan 06 02:36:19 2018  commencing in-memory singleton removal
  273. Sat Jan 06 02:36:21 2018  begin with 80241514 relations and 50653990 unique ideals
  274. Sat Jan 06 02:36:38 2018  reduce to 79894961 relations and 46785166 ideals in 7 passes
  275. Sat Jan 06 02:36:38 2018  max relations containing the same ideal: 16
  276. Sat Jan 06 02:36:55 2018  removing 5316838 relations and 3316838 ideals in 2000000 cliques
  277. Sat Jan 06 02:36:57 2018  commencing in-memory singleton removal
  278. Sat Jan 06 02:36:59 2018  begin with 74578123 relations and 46785166 unique ideals
  279. Sat Jan 06 02:37:16 2018  reduce to 74125533 relations and 43001298 ideals in 8 passes
  280. Sat Jan 06 02:37:16 2018  max relations containing the same ideal: 16
  281. Sat Jan 06 02:37:33 2018  removing 307977 relations and 188680 ideals in 119297 cliques
  282. Sat Jan 06 02:37:34 2018  commencing in-memory singleton removal
  283. Sat Jan 06 02:37:35 2018  begin with 73817556 relations and 43001298 unique ideals
  284. Sat Jan 06 02:37:48 2018  reduce to 73811865 relations and 42806906 ideals in 6 passes
  285. Sat Jan 06 02:37:48 2018  max relations containing the same ideal: 16
  286. Sat Jan 06 02:37:51 2018  relations with 0 large ideals: 8430837
  287. Sat Jan 06 02:37:51 2018  relations with 1 large ideals: 26882417
  288. Sat Jan 06 02:37:51 2018  relations with 2 large ideals: 27265720
  289. Sat Jan 06 02:37:51 2018  relations with 3 large ideals: 9624933
  290. Sat Jan 06 02:37:51 2018  relations with 4 large ideals: 1411124
  291. Sat Jan 06 02:37:51 2018  relations with 5 large ideals: 162128
  292. Sat Jan 06 02:37:51 2018  relations with 6 large ideals: 31043
  293. Sat Jan 06 02:37:51 2018  relations with 7+ large ideals: 3663
  294. Sat Jan 06 02:37:51 2018  commencing 2-way merge
  295. Sat Jan 06 02:38:16 2018  reduce to 46933906 relation sets and 15928947 unique ideals
  296. Sat Jan 06 02:38:16 2018  commencing full merge
  297. Sat Jan 06 02:39:48 2018  memory use: 1737.9 MB
  298. Sat Jan 06 02:39:53 2018  found 30998602 cycles, need 26728594
  299. Sat Jan 06 02:39:56 2018  weight of 26728594 cycles is about 1277190931 (47.78/cycle)
  300. Sat Jan 06 02:39:56 2018  distribution of cycle lengths:
  301. Sat Jan 06 02:39:56 2018  1 relations: 8430837
  302. Sat Jan 06 02:39:56 2018  2 relations: 4017006
  303. Sat Jan 06 02:39:56 2018  3 relations: 3219549
  304. Sat Jan 06 02:39:56 2018  4 relations: 2849122
  305. Sat Jan 06 02:39:56 2018  5 relations: 2532343
  306. Sat Jan 06 02:39:56 2018  6 relations: 2135983
  307. Sat Jan 06 02:39:56 2018  7 relations: 1719345
  308. Sat Jan 06 02:39:56 2018  8 relations: 1306094
  309. Sat Jan 06 02:39:56 2018  9 relations: 509619
  310. Sat Jan 06 02:39:56 2018  10+ relations: 8696
  311. Sat Jan 06 02:39:56 2018  heaviest cycle: 11 relations
  312. Sat Jan 06 02:39:56 2018  matrix not dense enough, retrying
  313. Sat Jan 06 02:40:12 2018  reading large ideals from disk
  314. Sat Jan 06 02:45:57 2018  keeping 216676815 ideals with weight <= 25, target excess is 20378294
  315. Sat Jan 06 02:56:00 2018  memory use: 9836.7 MB
  316. Sat Jan 06 02:56:00 2018  commencing in-memory singleton removal
  317. Sat Jan 06 02:56:15 2018  begin with 327344945 relations and 216676815 unique ideals
  318. Sat Jan 06 02:57:55 2018  reduce to 327342568 relations and 216674438 ideals in 6 passes
  319. Sat Jan 06 02:57:55 2018  max relations containing the same ideal: 25
  320. Sat Jan 06 02:59:24 2018  removing 10192469 relations and 8192469 ideals in 2000000 cliques
  321. Sat Jan 06 02:59:28 2018  commencing in-memory singleton removal
  322. Sat Jan 06 02:59:42 2018  begin with 317150099 relations and 216674438 unique ideals
  323. Sat Jan 06 03:01:35 2018  reduce to 316886493 relations and 208216092 ideals in 7 passes
  324. Sat Jan 06 03:01:35 2018  max relations containing the same ideal: 25
  325. Sat Jan 06 03:03:02 2018  removing 7762936 relations and 5762936 ideals in 2000000 cliques
  326. Sat Jan 06 03:03:06 2018  commencing in-memory singleton removal
  327. Sat Jan 06 03:03:20 2018  begin with 309123557 relations and 208216092 unique ideals
  328. Sat Jan 06 03:04:53 2018  reduce to 308945563 relations and 202273863 ideals in 6 passes
  329. Sat Jan 06 03:04:53 2018  max relations containing the same ideal: 25
  330. Sat Jan 06 03:06:17 2018  removing 7048063 relations and 5048063 ideals in 2000000 cliques
  331. Sat Jan 06 03:06:21 2018  commencing in-memory singleton removal
  332. Sat Jan 06 03:06:34 2018  begin with 301897500 relations and 202273863 unique ideals
  333. Sat Jan 06 03:08:05 2018  reduce to 301745697 relations and 197072937 ideals in 6 passes
  334. Sat Jan 06 03:08:05 2018  max relations containing the same ideal: 25
  335. Sat Jan 06 03:09:27 2018  removing 6658088 relations and 4658088 ideals in 2000000 cliques
  336. Sat Jan 06 03:09:31 2018  commencing in-memory singleton removal
  337. Sat Jan 06 03:09:44 2018  begin with 295087609 relations and 197072937 unique ideals
  338. Sat Jan 06 03:11:12 2018  reduce to 294949627 relations and 192275931 ideals in 6 passes
  339. Sat Jan 06 03:11:12 2018  max relations containing the same ideal: 25
  340. Sat Jan 06 03:12:32 2018  removing 6408878 relations and 4408878 ideals in 2000000 cliques
  341. Sat Jan 06 03:12:36 2018  commencing in-memory singleton removal
  342. Sat Jan 06 03:12:49 2018  begin with 288540749 relations and 192275931 unique ideals
  343. Sat Jan 06 03:14:28 2018  reduce to 288412695 relations and 187738074 ideals in 7 passes
  344. Sat Jan 06 03:14:28 2018  max relations containing the same ideal: 25
  345. Sat Jan 06 03:15:46 2018  removing 6234497 relations and 4234497 ideals in 2000000 cliques
  346. Sat Jan 06 03:15:50 2018  commencing in-memory singleton removal
  347. Sat Jan 06 03:16:02 2018  begin with 282178198 relations and 187738074 unique ideals
  348. Sat Jan 06 03:17:25 2018  reduce to 282056544 relations and 183381032 ideals in 6 passes
  349. Sat Jan 06 03:17:25 2018  max relations containing the same ideal: 25
  350. Sat Jan 06 03:18:42 2018  removing 6105692 relations and 4105692 ideals in 2000000 cliques
  351. Sat Jan 06 03:18:45 2018  commencing in-memory singleton removal
  352. Sat Jan 06 03:18:57 2018  begin with 275950852 relations and 183381032 unique ideals
  353. Sat Jan 06 03:20:18 2018  reduce to 275835144 relations and 179158768 ideals in 6 passes
  354. Sat Jan 06 03:20:18 2018  max relations containing the same ideal: 25
  355. Sat Jan 06 03:21:33 2018  removing 5981366 relations and 3981366 ideals in 2000000 cliques
  356. Sat Jan 06 03:21:36 2018  commencing in-memory singleton removal
  357. Sat Jan 06 03:21:48 2018  begin with 269853778 relations and 179158768 unique ideals
  358. Sat Jan 06 03:23:08 2018  reduce to 269739609 relations and 175062273 ideals in 6 passes
  359. Sat Jan 06 03:23:08 2018  max relations containing the same ideal: 25
  360. Sat Jan 06 03:24:21 2018  removing 5900191 relations and 3900191 ideals in 2000000 cliques
  361. Sat Jan 06 03:24:24 2018  commencing in-memory singleton removal
  362. Sat Jan 06 03:24:35 2018  begin with 263839418 relations and 175062273 unique ideals
  363. Sat Jan 06 03:25:52 2018  reduce to 263728092 relations and 171049896 ideals in 6 passes
  364. Sat Jan 06 03:25:52 2018  max relations containing the same ideal: 25
  365. Sat Jan 06 03:27:03 2018  removing 5839814 relations and 3839814 ideals in 2000000 cliques
  366. Sat Jan 06 03:27:06 2018  commencing in-memory singleton removal
  367. Sat Jan 06 03:27:17 2018  begin with 257888278 relations and 171049896 unique ideals
  368. Sat Jan 06 03:28:31 2018  reduce to 257778880 relations and 167099763 ideals in 6 passes
  369. Sat Jan 06 03:28:31 2018  max relations containing the same ideal: 25
  370. Sat Jan 06 03:29:40 2018  removing 5763101 relations and 3763101 ideals in 2000000 cliques
  371. Sat Jan 06 03:29:44 2018  commencing in-memory singleton removal
  372. Sat Jan 06 03:29:54 2018  begin with 252015779 relations and 167099763 unique ideals
  373. Sat Jan 06 03:31:07 2018  reduce to 251907524 relations and 163227512 ideals in 6 passes
  374. Sat Jan 06 03:31:07 2018  max relations containing the same ideal: 25
  375. Sat Jan 06 03:32:15 2018  removing 5716485 relations and 3716485 ideals in 2000000 cliques
  376. Sat Jan 06 03:32:18 2018  commencing in-memory singleton removal
  377. Sat Jan 06 03:32:28 2018  begin with 246191039 relations and 163227512 unique ideals
  378. Sat Jan 06 03:33:39 2018  reduce to 246083296 relations and 159402343 ideals in 6 passes
  379. Sat Jan 06 03:33:39 2018  max relations containing the same ideal: 25
  380. Sat Jan 06 03:34:45 2018  removing 5652025 relations and 3652025 ideals in 2000000 cliques
  381. Sat Jan 06 03:34:49 2018  commencing in-memory singleton removal
  382. Sat Jan 06 03:34:58 2018  begin with 240431271 relations and 159402343 unique ideals
  383. Sat Jan 06 03:36:07 2018  reduce to 240321266 relations and 155639336 ideals in 6 passes
  384. Sat Jan 06 03:36:07 2018  max relations containing the same ideal: 25
  385. Sat Jan 06 03:37:11 2018  removing 5643759 relations and 3643759 ideals in 2000000 cliques
  386. Sat Jan 06 03:37:14 2018  commencing in-memory singleton removal
  387. Sat Jan 06 03:37:23 2018  begin with 234677507 relations and 155639336 unique ideals
  388. Sat Jan 06 03:38:30 2018  reduce to 234572683 relations and 151889704 ideals in 6 passes
  389. Sat Jan 06 03:38:30 2018  max relations containing the same ideal: 25
  390. Sat Jan 06 03:39:32 2018  removing 5580295 relations and 3580295 ideals in 2000000 cliques
  391. Sat Jan 06 03:39:35 2018  commencing in-memory singleton removal
  392. Sat Jan 06 03:39:44 2018  begin with 228992388 relations and 151889704 unique ideals
  393. Sat Jan 06 03:40:49 2018  reduce to 228886502 relations and 148202401 ideals in 6 passes
  394. Sat Jan 06 03:40:49 2018  max relations containing the same ideal: 25
  395. Sat Jan 06 03:41:50 2018  removing 5549153 relations and 3549153 ideals in 2000000 cliques
  396. Sat Jan 06 03:41:53 2018  commencing in-memory singleton removal
  397. Sat Jan 06 03:42:02 2018  begin with 223337349 relations and 148202401 unique ideals
  398. Sat Jan 06 03:43:05 2018  reduce to 223228898 relations and 144543690 ideals in 6 passes
  399. Sat Jan 06 03:43:05 2018  max relations containing the same ideal: 25
  400. Sat Jan 06 03:44:05 2018  removing 5518216 relations and 3518216 ideals in 2000000 cliques
  401. Sat Jan 06 03:44:08 2018  commencing in-memory singleton removal
  402. Sat Jan 06 03:44:17 2018  begin with 217710682 relations and 144543690 unique ideals
  403. Sat Jan 06 03:45:17 2018  reduce to 217599526 relations and 140913142 ideals in 6 passes
  404. Sat Jan 06 03:45:17 2018  max relations containing the same ideal: 25
  405. Sat Jan 06 03:46:16 2018  removing 5507581 relations and 3507581 ideals in 2000000 cliques
  406. Sat Jan 06 03:46:18 2018  commencing in-memory singleton removal
  407. Sat Jan 06 03:46:27 2018  begin with 212091945 relations and 140913142 unique ideals
  408. Sat Jan 06 03:47:16 2018  reduce to 211982777 relations and 137295208 ideals in 5 passes
  409. Sat Jan 06 03:47:16 2018  max relations containing the same ideal: 25
  410. Sat Jan 06 03:48:13 2018  removing 5484424 relations and 3484424 ideals in 2000000 cliques
  411. Sat Jan 06 03:48:16 2018  commencing in-memory singleton removal
  412. Sat Jan 06 03:48:24 2018  begin with 206498353 relations and 137295208 unique ideals
  413. Sat Jan 06 03:49:21 2018  reduce to 206389631 relations and 133700809 ideals in 6 passes
  414. Sat Jan 06 03:49:21 2018  max relations containing the same ideal: 25
  415. Sat Jan 06 03:50:16 2018  removing 5468347 relations and 3468347 ideals in 2000000 cliques
  416. Sat Jan 06 03:50:19 2018  commencing in-memory singleton removal
  417. Sat Jan 06 03:50:26 2018  begin with 200921284 relations and 133700809 unique ideals
  418. Sat Jan 06 03:51:21 2018  reduce to 200813542 relations and 130123450 ideals in 6 passes
  419. Sat Jan 06 03:51:21 2018  max relations containing the same ideal: 25
  420. Sat Jan 06 03:52:15 2018  removing 5437119 relations and 3437119 ideals in 2000000 cliques
  421. Sat Jan 06 03:52:17 2018  commencing in-memory singleton removal
  422. Sat Jan 06 03:52:25 2018  begin with 195376423 relations and 130123450 unique ideals
  423. Sat Jan 06 03:53:19 2018  reduce to 195263463 relations and 126572076 ideals in 6 passes
  424. Sat Jan 06 03:53:19 2018  max relations containing the same ideal: 25
  425. Sat Jan 06 03:54:11 2018  removing 5397706 relations and 3397706 ideals in 2000000 cliques
  426. Sat Jan 06 03:54:14 2018  commencing in-memory singleton removal
  427. Sat Jan 06 03:54:21 2018  begin with 189865757 relations and 126572076 unique ideals
  428. Sat Jan 06 03:55:21 2018  reduce to 189745314 relations and 123052347 ideals in 7 passes
  429. Sat Jan 06 03:55:21 2018  max relations containing the same ideal: 25
  430. Sat Jan 06 03:56:11 2018  removing 5417448 relations and 3417448 ideals in 2000000 cliques
  431. Sat Jan 06 03:56:14 2018  commencing in-memory singleton removal
  432. Sat Jan 06 03:56:21 2018  begin with 184327866 relations and 123052347 unique ideals
  433. Sat Jan 06 03:57:19 2018  reduce to 184210364 relations and 119515852 ideals in 7 passes
  434. Sat Jan 06 03:57:19 2018  max relations containing the same ideal: 25
  435. Sat Jan 06 03:58:08 2018  removing 5392734 relations and 3392734 ideals in 2000000 cliques
  436. Sat Jan 06 03:58:10 2018  commencing in-memory singleton removal
  437. Sat Jan 06 03:58:17 2018  begin with 178817630 relations and 119515852 unique ideals
  438. Sat Jan 06 03:59:05 2018  reduce to 178697650 relations and 116001540 ideals in 6 passes
  439. Sat Jan 06 03:59:05 2018  max relations containing the same ideal: 25
  440. Sat Jan 06 03:59:53 2018  removing 5380116 relations and 3380116 ideals in 2000000 cliques
  441. Sat Jan 06 03:59:55 2018  commencing in-memory singleton removal
  442. Sat Jan 06 04:00:02 2018  begin with 173317534 relations and 116001540 unique ideals
  443. Sat Jan 06 04:00:47 2018  reduce to 173193754 relations and 112495979 ideals in 6 passes
  444. Sat Jan 06 04:00:47 2018  max relations containing the same ideal: 25
  445. Sat Jan 06 04:01:33 2018  removing 5396923 relations and 3396923 ideals in 2000000 cliques
  446. Sat Jan 06 04:01:36 2018  commencing in-memory singleton removal
  447. Sat Jan 06 04:01:42 2018  begin with 167796831 relations and 112495979 unique ideals
  448. Sat Jan 06 04:02:26 2018  reduce to 167674732 relations and 108975280 ideals in 6 passes
  449. Sat Jan 06 04:02:26 2018  max relations containing the same ideal: 25
  450. Sat Jan 06 04:03:10 2018  removing 5372349 relations and 3372349 ideals in 2000000 cliques
  451. Sat Jan 06 04:03:13 2018  commencing in-memory singleton removal
  452. Sat Jan 06 04:03:18 2018  begin with 162302383 relations and 108975280 unique ideals
  453. Sat Jan 06 04:04:01 2018  reduce to 162175167 relations and 105473858 ideals in 6 passes
  454. Sat Jan 06 04:04:01 2018  max relations containing the same ideal: 25
  455. Sat Jan 06 04:04:44 2018  removing 5376077 relations and 3376077 ideals in 2000000 cliques
  456. Sat Jan 06 04:04:46 2018  commencing in-memory singleton removal
  457. Sat Jan 06 04:04:52 2018  begin with 156799090 relations and 105473858 unique ideals
  458. Sat Jan 06 04:05:32 2018  reduce to 156671074 relations and 101967910 ideals in 6 passes
  459. Sat Jan 06 04:05:32 2018  max relations containing the same ideal: 24
  460. Sat Jan 06 04:06:13 2018  removing 5366168 relations and 3366168 ideals in 2000000 cliques
  461. Sat Jan 06 04:06:16 2018  commencing in-memory singleton removal
  462. Sat Jan 06 04:06:21 2018  begin with 151304906 relations and 101967910 unique ideals
  463. Sat Jan 06 04:07:00 2018  reduce to 151169926 relations and 98464723 ideals in 6 passes
  464. Sat Jan 06 04:07:00 2018  max relations containing the same ideal: 23
  465. Sat Jan 06 04:07:39 2018  removing 5392869 relations and 3392869 ideals in 2000000 cliques
  466. Sat Jan 06 04:07:42 2018  commencing in-memory singleton removal
  467. Sat Jan 06 04:07:47 2018  begin with 145777057 relations and 98464723 unique ideals
  468. Sat Jan 06 04:08:30 2018  reduce to 145641161 relations and 94933863 ideals in 7 passes
  469. Sat Jan 06 04:08:30 2018  max relations containing the same ideal: 23
  470. Sat Jan 06 04:09:08 2018  removing 5367991 relations and 3367991 ideals in 2000000 cliques
  471. Sat Jan 06 04:09:10 2018  commencing in-memory singleton removal
  472. Sat Jan 06 04:09:15 2018  begin with 140273170 relations and 94933863 unique ideals
  473. Sat Jan 06 04:09:50 2018  reduce to 140130464 relations and 91420840 ideals in 6 passes
  474. Sat Jan 06 04:09:50 2018  max relations containing the same ideal: 22
  475. Sat Jan 06 04:10:26 2018  removing 5361701 relations and 3361701 ideals in 2000000 cliques
  476. Sat Jan 06 04:10:28 2018  commencing in-memory singleton removal
  477. Sat Jan 06 04:10:32 2018  begin with 134768763 relations and 91420840 unique ideals
  478. Sat Jan 06 04:11:06 2018  reduce to 134622098 relations and 87910035 ideals in 6 passes
  479. Sat Jan 06 04:11:06 2018  max relations containing the same ideal: 22
  480. Sat Jan 06 04:11:41 2018  removing 5368422 relations and 3368422 ideals in 2000000 cliques
  481. Sat Jan 06 04:11:43 2018  commencing in-memory singleton removal
  482. Sat Jan 06 04:11:48 2018  begin with 129253676 relations and 87910035 unique ideals
  483. Sat Jan 06 04:12:25 2018  reduce to 129094901 relations and 84380183 ideals in 7 passes
  484. Sat Jan 06 04:12:25 2018  max relations containing the same ideal: 22
  485. Sat Jan 06 04:12:58 2018  removing 5333337 relations and 3333337 ideals in 2000000 cliques
  486. Sat Jan 06 04:13:00 2018  commencing in-memory singleton removal
  487. Sat Jan 06 04:13:05 2018  begin with 123761564 relations and 84380183 unique ideals
  488. Sat Jan 06 04:13:35 2018  reduce to 123584441 relations and 80866535 ideals in 6 passes
  489. Sat Jan 06 04:13:35 2018  max relations containing the same ideal: 22
  490. Sat Jan 06 04:14:06 2018  removing 5391456 relations and 3391456 ideals in 2000000 cliques
  491. Sat Jan 06 04:14:08 2018  commencing in-memory singleton removal
  492. Sat Jan 06 04:14:12 2018  begin with 118192985 relations and 80866535 unique ideals
  493. Sat Jan 06 04:14:45 2018  reduce to 118017454 relations and 77296276 ideals in 7 passes
  494. Sat Jan 06 04:14:45 2018  max relations containing the same ideal: 22
  495. Sat Jan 06 04:15:16 2018  removing 5407346 relations and 3407346 ideals in 2000000 cliques
  496. Sat Jan 06 04:15:18 2018  commencing in-memory singleton removal
  497. Sat Jan 06 04:15:21 2018  begin with 112610108 relations and 77296276 unique ideals
  498. Sat Jan 06 04:15:48 2018  reduce to 112426906 relations and 73702233 ideals in 6 passes
  499. Sat Jan 06 04:15:48 2018  max relations containing the same ideal: 22
  500. Sat Jan 06 04:16:17 2018  removing 5429980 relations and 3429980 ideals in 2000000 cliques
  501. Sat Jan 06 04:16:19 2018  commencing in-memory singleton removal
  502. Sat Jan 06 04:16:23 2018  begin with 106996926 relations and 73702233 unique ideals
  503. Sat Jan 06 04:16:52 2018  reduce to 106805848 relations and 70077358 ideals in 7 passes
  504. Sat Jan 06 04:16:52 2018  max relations containing the same ideal: 22
  505. Sat Jan 06 04:17:19 2018  removing 5423885 relations and 3423885 ideals in 2000000 cliques
  506. Sat Jan 06 04:17:21 2018  commencing in-memory singleton removal
  507. Sat Jan 06 04:17:24 2018  begin with 101381963 relations and 70077358 unique ideals
  508. Sat Jan 06 04:17:51 2018  reduce to 101174200 relations and 66441504 ideals in 7 passes
  509. Sat Jan 06 04:17:51 2018  max relations containing the same ideal: 21
  510. Sat Jan 06 04:18:17 2018  removing 5488248 relations and 3488248 ideals in 2000000 cliques
  511. Sat Jan 06 04:18:19 2018  commencing in-memory singleton removal
  512. Sat Jan 06 04:18:22 2018  begin with 95685952 relations and 66441504 unique ideals
  513. Sat Jan 06 04:18:51 2018  reduce to 95463219 relations and 62725747 ideals in 8 passes
  514. Sat Jan 06 04:18:51 2018  max relations containing the same ideal: 19
  515. Sat Jan 06 04:19:15 2018  removing 5515433 relations and 3515433 ideals in 2000000 cliques
  516. Sat Jan 06 04:19:17 2018  commencing in-memory singleton removal
  517. Sat Jan 06 04:19:19 2018  begin with 89947786 relations and 62725747 unique ideals
  518. Sat Jan 06 04:19:40 2018  reduce to 89706084 relations and 58963484 ideals in 6 passes
  519. Sat Jan 06 04:19:40 2018  max relations containing the same ideal: 19
  520. Sat Jan 06 04:20:02 2018  removing 5549793 relations and 3549793 ideals in 2000000 cliques
  521. Sat Jan 06 04:20:04 2018  commencing in-memory singleton removal
  522. Sat Jan 06 04:20:06 2018  begin with 84156291 relations and 58963484 unique ideals
  523. Sat Jan 06 04:20:28 2018  reduce to 83888505 relations and 55139766 ideals in 7 passes
  524. Sat Jan 06 04:20:28 2018  max relations containing the same ideal: 19
  525. Sat Jan 06 04:20:49 2018  removing 5543121 relations and 3543121 ideals in 2000000 cliques
  526. Sat Jan 06 04:20:51 2018  commencing in-memory singleton removal
  527. Sat Jan 06 04:20:53 2018  begin with 78345384 relations and 55139766 unique ideals
  528. Sat Jan 06 04:21:13 2018  reduce to 78022806 relations and 51266164 ideals in 7 passes
  529. Sat Jan 06 04:21:13 2018  max relations containing the same ideal: 19
  530. Sat Jan 06 04:21:32 2018  removing 5658627 relations and 3658627 ideals in 2000000 cliques
  531. Sat Jan 06 04:21:34 2018  commencing in-memory singleton removal
  532. Sat Jan 06 04:21:36 2018  begin with 72364179 relations and 51266164 unique ideals
  533. Sat Jan 06 04:21:54 2018  reduce to 72020419 relations and 47254662 ideals in 7 passes
  534. Sat Jan 06 04:21:54 2018  max relations containing the same ideal: 19
  535. Sat Jan 06 04:22:13 2018  removing 3247648 relations and 2120713 ideals in 1126935 cliques
  536. Sat Jan 06 04:22:14 2018  commencing in-memory singleton removal
  537. Sat Jan 06 04:22:16 2018  begin with 68772771 relations and 47254662 unique ideals
  538. Sat Jan 06 04:22:32 2018  reduce to 68584309 relations and 44941887 ideals in 7 passes
  539. Sat Jan 06 04:22:32 2018  max relations containing the same ideal: 17
  540. Sat Jan 06 04:22:52 2018  relations with 0 large ideals: 4582627
  541. Sat Jan 06 04:22:52 2018  relations with 1 large ideals: 17702070
  542. Sat Jan 06 04:22:52 2018  relations with 2 large ideals: 25639285
  543. Sat Jan 06 04:22:52 2018  relations with 3 large ideals: 15422754
  544. Sat Jan 06 04:22:52 2018  relations with 4 large ideals: 4319918
  545. Sat Jan 06 04:22:52 2018  relations with 5 large ideals: 714663
  546. Sat Jan 06 04:22:52 2018  relations with 6 large ideals: 154017
  547. Sat Jan 06 04:22:52 2018  relations with 7+ large ideals: 48975
  548. Sat Jan 06 04:22:52 2018  commencing 2-way merge
  549. Sat Jan 06 04:23:17 2018  reduce to 44686912 relation sets and 21044490 unique ideals
  550. Sat Jan 06 04:23:17 2018  commencing full merge
  551. Sat Jan 06 04:27:03 2018  memory use: 2063.7 MB
  552. Sat Jan 06 04:27:08 2018  found 22902562 cycles, need 20511994
  553. Sat Jan 06 04:27:10 2018  weight of 20511994 cycles is about 2034434752 (99.18/cycle)
  554. Sat Jan 06 04:27:10 2018  distribution of cycle lengths:
  555. Sat Jan 06 04:27:10 2018  1 relations: 4582643
  556. Sat Jan 06 04:27:10 2018  2 relations: 1828749
  557. Sat Jan 06 04:27:10 2018  3 relations: 1347720
  558. Sat Jan 06 04:27:10 2018  4 relations: 1169551
  559. Sat Jan 06 04:27:10 2018  5 relations: 1113250
  560. Sat Jan 06 04:27:10 2018  6 relations: 1068742
  561. Sat Jan 06 04:27:10 2018  7 relations: 1046871
  562. Sat Jan 06 04:27:10 2018  8 relations: 1004701
  563. Sat Jan 06 04:27:10 2018  9 relations: 966769
  564. Sat Jan 06 04:27:10 2018  10+ relations: 6382998
  565. Sat Jan 06 04:27:10 2018  heaviest cycle: 23 relations
  566. Sat Jan 06 04:27:10 2018  commencing cycle optimization
  567. Sat Jan 06 04:27:40 2018  start with 140512109 relations
  568. Sat Jan 06 04:32:45 2018  pruned 15303034 relations
  569. Sat Jan 06 04:32:45 2018  memory use: 3686.2 MB
  570. Sat Jan 06 04:32:45 2018  distribution of cycle lengths:
  571. Sat Jan 06 04:32:45 2018  1 relations: 4582643
  572. Sat Jan 06 04:32:45 2018  2 relations: 1908312
  573. Sat Jan 06 04:32:45 2018  3 relations: 1453581
  574. Sat Jan 06 04:32:45 2018  4 relations: 1296524
  575. Sat Jan 06 04:32:45 2018  5 relations: 1276593
  576. Sat Jan 06 04:32:45 2018  6 relations: 1259734
  577. Sat Jan 06 04:32:45 2018  7 relations: 1258128
  578. Sat Jan 06 04:32:45 2018  8 relations: 1210094
  579. Sat Jan 06 04:32:45 2018  9 relations: 1158008
  580. Sat Jan 06 04:32:45 2018  10+ relations: 5108377
  581. Sat Jan 06 04:32:45 2018  heaviest cycle: 22 relations
  582. Sat Jan 06 04:33:27 2018  RelProcTime: 27769
  583. Sat Jan 06 04:33:27 2018  
  584. Sat Jan 06 04:33:27 2018  commencing linear algebra
  585. Sat Jan 06 04:33:30 2018  read 20511994 cycles
  586. Sat Jan 06 04:34:04 2018  cycles contain 58517822 unique relations
  587. Sat Jan 06 04:48:16 2018  read 58517822 relations
  588. Sat Jan 06 04:49:59 2018  using 20 quadratic characters above 4294917296
  589. Sat Jan 06 04:54:25 2018  building initial matrix
  590. Sat Jan 06 05:06:19 2018  memory use: 8077.8 MB
  591. Sat Jan 06 05:06:39 2018  read 20511994 cycles
  592. Sat Jan 06 05:06:46 2018  matrix is 20504711 x 20511994 (7408.7 MB) with weight 2203640094 (107.43/col)
  593. Sat Jan 06 05:06:46 2018  sparse part has weight 1716502055 (83.68/col)
  594. Sat Jan 06 05:13:57 2018  filtering completed in 3 passes
  595. Sat Jan 06 05:14:04 2018  matrix is 20372289 x 20372488 (7378.1 MB) with weight 2194111823 (107.70/col)
  596. Sat Jan 06 05:14:04 2018  sparse part has weight 1710039072 (83.94/col)
  597. Sat Jan 06 05:16:05 2018  matrix starts at (0, 0)
  598. Sat Jan 06 05:16:12 2018  matrix is 20372289 x 20372488 (7378.1 MB) with weight 2194111823 (107.70/col)
  599. Sat Jan 06 05:16:12 2018  sparse part has weight 1710039072 (83.94/col)
  600. Sat Jan 06 05:16:12 2018  saving the first 48 matrix rows for later
  601. Sat Jan 06 05:16:17 2018  matrix includes 64 packed rows
  602. Sat Jan 06 05:16:21 2018  matrix is 20372241 x 20372488 (7128.2 MB) with weight 1810632881 (88.88/col)
  603. Sat Jan 06 05:16:21 2018  sparse part has weight 1664896430 (81.72/col)
  604. Sat Jan 06 05:16:21 2018  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  605. Sat Jan 06 05:18:17 2018  commencing Lanczos iteration (4 threads)
  606. Sat Jan 06 05:18:17 2018  memory use: 6035.9 MB
  607. Sat Jan 06 05:21:41 2018  linear algebra at 0.0%, ETA 724h30m
  608. Sat Jan 06 05:22:46 2018  checkpointing every 30000 dimensions
  609. Sun Jan 21 19:18:21 2018  lanczos halted after 167829 iterations (dim = 10612842)
  610. Sun Jan 21 19:18:46 2018  BLanczosTime: 1349119
  611. Sun Jan 21 19:18:46 2018  
  612. Sun Jan 21 19:18:46 2018  commencing square root phase
  613. Sun Jan 21 19:18:46 2018  handling dependencies 1 to 64
  614. Sun Jan 21 19:18:46 2018  reading relations for dependency 1
  615. Sun Jan 21 19:18:46 2018  error: read_cycles can't open dependency file
  616. Sun Jan 21 19:26:15 2018  
  617. Sun Jan 21 19:26:15 2018  
  618. Sun Jan 21 19:26:15 2018  Msieve v. 1.52 (SVN unknown)
  619. Sun Jan 21 19:26:15 2018  random seeds: 17a924d0 ee1a6035
  620. Sun Jan 21 19:26:15 2018  factoring 676870440131162186790205260284115103229905992405944474763786965158347196908998606158829512914913741518518550185426278771154202748468786511992582732124649322376550585259441177832426707359430632204475614844271700714398827407169704953 (231 digits)
  621. Sun Jan 21 19:26:16 2018  no P-1/P+1/ECM available, skipping
  622. Sun Jan 21 19:26:16 2018  commencing number field sieve (231-digit input)
  623. Sun Jan 21 19:26:16 2018  R0: 4491199828872408503792328704
  624. Sun Jan 21 19:26:16 2018  R1: -559494740587480879172162808385362976196641
  625. Sun Jan 21 19:26:16 2018  A0: 6241
  626. Sun Jan 21 19:26:16 2018  A1: 0
  627. Sun Jan 21 19:26:16 2018  A2: 0
  628. Sun Jan 21 19:26:16 2018  A3: 0
  629. Sun Jan 21 19:26:16 2018  A4: 0
  630. Sun Jan 21 19:26:16 2018  A5: 0
  631. Sun Jan 21 19:26:16 2018  A6: 134
  632. Sun Jan 21 19:26:16 2018  skew 1.90, size 6.549e-013, alpha -0.251, combined = 8.926e-014 rroots = 0
  633. Sun Jan 21 19:26:16 2018  
  634. Sun Jan 21 19:26:16 2018  commencing linear algebra
  635. Sun Jan 21 19:27:33 2018  matrix starts at (0, 0)
  636. Sun Jan 21 19:27:39 2018  matrix is 20372289 x 20372488 (7378.1 MB) with weight 2194111823 (107.70/col)
  637. Sun Jan 21 19:27:39 2018  sparse part has weight 1710039072 (83.94/col)
  638. Sun Jan 21 19:27:39 2018  saving the first 48 matrix rows for later
  639. Sun Jan 21 19:27:44 2018  matrix includes 64 packed rows
  640. Sun Jan 21 19:27:47 2018  matrix is 20372241 x 20372488 (7128.2 MB) with weight 1810632881 (88.88/col)
  641. Sun Jan 21 19:27:47 2018  sparse part has weight 1664896430 (81.72/col)
  642. Sun Jan 21 19:27:47 2018  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  643. Sun Jan 21 19:29:35 2018  commencing Lanczos iteration (8 threads)
  644. Sun Jan 21 19:29:36 2018  memory use: 6036.0 MB
  645. Sun Jan 21 19:29:45 2018  restarting at iteration 167829 (dim = 10612842)
  646. Sun Jan 21 19:31:51 2018  checkpointing every 40000 dimensions
  647. Sun Jan 21 19:32:24 2018  linear algebra at 52.1%, ETA 284h39m
  648. Tue Jan 23 18:50:09 2018  lanczos halted after 193819 iterations (dim = 12256362)
  649. Tue Jan 23 18:50:24 2018  BLanczosTime: 170648
  650. Tue Jan 23 18:50:24 2018  
  651. Tue Jan 23 18:50:24 2018  commencing square root phase
  652. Tue Jan 23 18:50:24 2018  reading relations for dependency 1
  653. Tue Jan 23 18:50:24 2018  error: read_cycles can't open dependency file
  654. Tue Jan 23 18:52:56 2018  
  655. Tue Jan 23 18:52:56 2018  
  656. Tue Jan 23 18:52:56 2018  Msieve v. 1.52 (SVN unknown)
  657. Tue Jan 23 18:52:56 2018  random seeds: 79e7f89c e7cd1577
  658. Tue Jan 23 18:52:56 2018  factoring 676870440131162186790205260284115103229905992405944474763786965158347196908998606158829512914913741518518550185426278771154202748468786511992582732124649322376550585259441177832426707359430632204475614844271700714398827407169704953 (231 digits)
  659. Tue Jan 23 18:52:57 2018  no P-1/P+1/ECM available, skipping
  660. Tue Jan 23 18:52:57 2018  commencing number field sieve (231-digit input)
  661. Tue Jan 23 18:52:57 2018  R0: 4491199828872408503792328704
  662. Tue Jan 23 18:52:57 2018  R1: -559494740587480879172162808385362976196641
  663. Tue Jan 23 18:52:57 2018  A0: 6241
  664. Tue Jan 23 18:52:57 2018  A1: 0
  665. Tue Jan 23 18:52:57 2018  A2: 0
  666. Tue Jan 23 18:52:57 2018  A3: 0
  667. Tue Jan 23 18:52:57 2018  A4: 0
  668. Tue Jan 23 18:52:57 2018  A5: 0
  669. Tue Jan 23 18:52:57 2018  A6: 134
  670. Tue Jan 23 18:52:57 2018  skew 1.90, size 6.549e-013, alpha -0.251, combined = 8.926e-014 rroots = 0
  671. Tue Jan 23 18:52:57 2018  
  672. Tue Jan 23 18:52:57 2018  commencing linear algebra
  673. Tue Jan 23 18:54:13 2018  matrix starts at (0, 0)
  674. Tue Jan 23 18:54:20 2018  matrix is 20372289 x 20372488 (7378.1 MB) with weight 2194111823 (107.70/col)
  675. Tue Jan 23 18:54:20 2018  sparse part has weight 1710039072 (83.94/col)
  676. Tue Jan 23 18:54:20 2018  saving the first 48 matrix rows for later
  677. Tue Jan 23 18:54:25 2018  matrix includes 64 packed rows
  678. Tue Jan 23 18:54:28 2018  matrix is 20372241 x 20372488 (7128.2 MB) with weight 1810632881 (88.88/col)
  679. Tue Jan 23 18:54:28 2018  sparse part has weight 1664896430 (81.72/col)
  680. Tue Jan 23 18:54:28 2018  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  681. Tue Jan 23 18:56:24 2018  commencing Lanczos iteration (6 threads)
  682. Tue Jan 23 18:56:24 2018  memory use: 6036.0 MB
  683. Tue Jan 23 18:56:33 2018  restarting at iteration 193819 (dim = 12256362)
  684. Tue Jan 23 18:59:32 2018  linear algebra at 60.2%, ETA 264h55m
  685. Tue Jan 23 18:59:47 2018  checkpointing every 40000 dimensions
  686. Thu Feb 01 20:40:59 2018  
  687. Thu Feb 01 20:40:59 2018  
  688. Thu Feb 01 20:40:59 2018  Msieve v. 1.52 (SVN unknown)
  689. Thu Feb 01 20:40:59 2018  random seeds: 2cc4c108 2b9866e3
  690. Thu Feb 01 20:40:59 2018  factoring 676870440131162186790205260284115103229905992405944474763786965158347196908998606158829512914913741518518550185426278771154202748468786511992582732124649322376550585259441177832426707359430632204475614844271700714398827407169704953 (231 digits)
  691. Thu Feb 01 20:41:00 2018  no P-1/P+1/ECM available, skipping
  692. Thu Feb 01 20:41:00 2018  commencing number field sieve (231-digit input)
  693. Thu Feb 01 20:41:00 2018  R0: 4491199828872408503792328704
  694. Thu Feb 01 20:41:00 2018  R1: -559494740587480879172162808385362976196641
  695. Thu Feb 01 20:41:00 2018  A0: 6241
  696. Thu Feb 01 20:41:00 2018  A1: 0
  697. Thu Feb 01 20:41:00 2018  A2: 0
  698. Thu Feb 01 20:41:00 2018  A3: 0
  699. Thu Feb 01 20:41:00 2018  A4: 0
  700. Thu Feb 01 20:41:00 2018  A5: 0
  701. Thu Feb 01 20:41:00 2018  A6: 134
  702. Thu Feb 01 20:41:00 2018  skew 1.90, size 6.549e-013, alpha -0.251, combined = 8.926e-014 rroots = 0
  703. Thu Feb 01 20:41:00 2018  
  704. Thu Feb 01 20:41:00 2018  commencing linear algebra
  705. Thu Feb 01 20:42:17 2018  matrix starts at (0, 0)
  706. Thu Feb 01 20:42:23 2018  matrix is 20372289 x 20372488 (7378.1 MB) with weight 2194111823 (107.70/col)
  707. Thu Feb 01 20:42:23 2018  sparse part has weight 1710039072 (83.94/col)
  708. Thu Feb 01 20:42:24 2018  saving the first 48 matrix rows for later
  709. Thu Feb 01 20:42:29 2018  matrix includes 64 packed rows
  710. Thu Feb 01 20:42:32 2018  matrix is 20372241 x 20372488 (7128.2 MB) with weight 1810632881 (88.88/col)
  711. Thu Feb 01 20:42:32 2018  sparse part has weight 1664896430 (81.72/col)
  712. Thu Feb 01 20:42:32 2018  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  713. Thu Feb 01 20:44:21 2018  commencing Lanczos iteration (8 threads)
  714. Thu Feb 01 20:44:21 2018  memory use: 6036.0 MB
  715. Thu Feb 01 20:44:30 2018  restarting at iteration 298558 (dim = 18880052)
  716. Thu Feb 01 20:47:06 2018  linear algebra at 92.7%, ETA 42h35m
  717. Thu Feb 01 20:47:52 2018  checkpointing every 40000 dimensions
  718. Sat Feb 03 15:22:33 2018  lanczos halted after 322158 iterations (dim = 20372234)
  719. Sat Feb 03 15:23:22 2018  recovered 34 nontrivial dependencies
  720. Sat Feb 03 15:23:39 2018  BLanczosTime: 153759
  721. Sat Feb 03 15:23:39 2018  
  722. Sat Feb 03 15:23:39 2018  commencing square root phase
  723. Sat Feb 03 15:23:39 2018  reading relations for dependency 1
  724. Sat Feb 03 15:23:46 2018  read 10186937 cycles
  725. Sat Feb 03 15:24:00 2018  cycles contain 29185426 unique relations
  726. Sat Feb 03 15:36:57 2018  read 29185426 relations
  727. Sat Feb 03 15:40:32 2018  multiplying 29185426 relations
  728. Sat Feb 03 16:14:51 2018  multiply complete, coefficients have about 964.83 million bits
  729. Sat Feb 03 16:15:01 2018  initial square root is modulo 452895217
  730. Sat Feb 03 16:55:24 2018  GCD is N, no factor found
  731. Sat Feb 03 16:55:24 2018  reading relations for dependency 2
  732. Sat Feb 03 16:55:28 2018  read 10184988 cycles
  733. Sat Feb 03 16:55:43 2018  cycles contain 29172716 unique relations
  734. Sat Feb 03 17:08:35 2018  read 29172716 relations
  735. Sat Feb 03 17:12:12 2018  multiplying 29172716 relations
  736. Sat Feb 03 17:46:33 2018  multiply complete, coefficients have about 964.42 million bits
  737. Sat Feb 03 17:46:44 2018  initial square root is modulo 449000329
  738. Sat Feb 03 18:27:09 2018  sqrtTime: 11010
  739. Sat Feb 03 18:27:09 2018  prp63 factor: 121228617008936764925388482653465206046556191972729649438307283
  740. Sat Feb 03 18:27:09 2018  prp169 factor: 5583421281472380925687498948836078361630770800617356324851941804728158677443434969099749217012072569073397018190430180207527906857723918495624214642334514406145094063491
  741. Sat Feb 03 18:27:09 2018  elapsed time 45:46:10
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