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2047572230657338751575051_11m1

a guest Oct 26th, 2018 24 Never
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  1. Wed Oct 17 15:43:15 2018  
  2. Wed Oct 17 15:43:15 2018  
  3. Wed Oct 17 15:43:15 2018  Msieve v. 1.52 (SVN unknown)
  4. Wed Oct 17 15:43:15 2018  random seeds: 8c50e9c0 c1ed9b21
  5. Wed Oct 17 15:43:15 2018  factoring 1295365451317440440370885114089235443589181345228315782250784859298702104143770503250614238739000719826365862647947170950721555236980292825676173674298340666978717319616175188028178390626094629924963651579571724748868227636918489501455878290261 (244 digits)
  6. Wed Oct 17 15:43:16 2018  no P-1/P+1/ECM available, skipping
  7. Wed Oct 17 15:43:16 2018  commencing number field sieve (244-digit input)
  8. Wed Oct 17 15:43:16 2018  R0: 4192552039759070047287980611189706613533285652602
  9. Wed Oct 17 15:43:16 2018  R1: -2047572230657338751575051
  10. Wed Oct 17 15:43:16 2018  A0: 1
  11. Wed Oct 17 15:43:16 2018  A1: 3
  12. Wed Oct 17 15:43:16 2018  A2: -3
  13. Wed Oct 17 15:43:16 2018  A3: -4
  14. Wed Oct 17 15:43:16 2018  A4: 1
  15. Wed Oct 17 15:43:16 2018  A5: 1
  16. Wed Oct 17 15:43:16 2018  skew 1.00, size 1.578e-016, alpha 2.379, combined = 2.746e-013 rroots = 5
  17. Wed Oct 17 15:43:16 2018  
  18. Wed Oct 17 15:43:16 2018  commencing relation filtering
  19. Wed Oct 17 15:43:16 2018  setting max relations to 460000000
  20. Wed Oct 17 15:43:16 2018  setting target matrix density to 120.0
  21. Wed Oct 17 15:43:16 2018  estimated available RAM is 16316.6 MB
  22. Wed Oct 17 15:43:16 2018  commencing duplicate removal, pass 1
  23. Wed Oct 17 15:49:08 2018  error -9 reading relation 39107063
  24. Wed Oct 17 15:49:22 2018  error -9 reading relation 40672307
  25. Wed Oct 17 15:51:43 2018  error -9 reading relation 56616146
  26. Wed Oct 17 15:52:08 2018  error -9 reading relation 59500499
  27. Wed Oct 17 15:59:34 2018  error -5 reading relation 110116135
  28. Wed Oct 17 16:00:57 2018  error -9 reading relation 119533914
  29. Wed Oct 17 16:01:11 2018  error -9 reading relation 121201879
  30. Wed Oct 17 16:01:21 2018  error -9 reading relation 122336992
  31. Wed Oct 17 16:01:57 2018  error -9 reading relation 126406632
  32. Wed Oct 17 16:02:03 2018  error -9 reading relation 127009465
  33. Wed Oct 17 16:02:22 2018  error -9 reading relation 129112843
  34. Wed Oct 17 16:02:38 2018  error -15 reading relation 130934465
  35. Wed Oct 17 16:03:41 2018  error -15 reading relation 138063773
  36. Wed Oct 17 16:03:51 2018  error -15 reading relation 139183511
  37. Wed Oct 17 16:03:57 2018  error -5 reading relation 139882516
  38. Wed Oct 17 16:04:06 2018  error -15 reading relation 140881364
  39. Wed Oct 17 16:04:08 2018  error -15 reading relation 141105257
  40. Wed Oct 17 16:04:12 2018  error -9 reading relation 141640118
  41. Wed Oct 17 16:04:22 2018  error -15 reading relation 142688884
  42. Wed Oct 17 16:04:35 2018  error -1 reading relation 144170533
  43. Wed Oct 17 16:05:20 2018  error -15 reading relation 149335938
  44. Wed Oct 17 16:06:22 2018  error -9 reading relation 156373407
  45. Wed Oct 17 16:50:15 2018  error -9 reading relation 454541540
  46. Wed Oct 17 16:50:15 2018  error -15 reading relation 454560580
  47. Wed Oct 17 16:50:16 2018  error -9 reading relation 454664253
  48. Wed Oct 17 16:50:19 2018  error -9 reading relation 454957302
  49. Wed Oct 17 16:50:19 2018  error -15 reading relation 454984606
  50. Wed Oct 17 16:50:21 2018  error -9 reading relation 455180444
  51. Wed Oct 17 16:50:23 2018  error -9 reading relation 455462578
  52. Wed Oct 17 16:50:26 2018  error -9 reading relation 455724397
  53. Wed Oct 17 16:50:27 2018  error -9 reading relation 455871213
  54. Wed Oct 17 16:50:28 2018  error -9 reading relation 455964150
  55. Wed Oct 17 16:50:28 2018  error -15 reading relation 456002518
  56. Wed Oct 17 16:50:30 2018  error -1 reading relation 456237210
  57. Wed Oct 17 16:50:31 2018  error -15 reading relation 456339628
  58. Wed Oct 17 16:50:32 2018  error -1 reading relation 456387960
  59. Wed Oct 17 16:50:35 2018  error -15 reading relation 456714774
  60. Wed Oct 17 16:50:35 2018  error -15 reading relation 456718968
  61. Wed Oct 17 16:50:35 2018  error -9 reading relation 456720484
  62. Wed Oct 17 16:50:35 2018  error -9 reading relation 456723380
  63. Wed Oct 17 16:50:36 2018  error -15 reading relation 456861120
  64. Wed Oct 17 16:50:36 2018  error -9 reading relation 456890658
  65. Wed Oct 17 16:50:36 2018  error -15 reading relation 456920461
  66. Wed Oct 17 16:50:36 2018  error -15 reading relation 456926637
  67. Wed Oct 17 16:50:36 2018  error -15 reading relation 456934788
  68. Wed Oct 17 16:50:36 2018  error -15 reading relation 456936780
  69. Wed Oct 17 16:50:39 2018  error -15 reading relation 457216621
  70. Wed Oct 17 16:50:40 2018  error -9 reading relation 457317240
  71. Wed Oct 17 16:50:40 2018  error -9 reading relation 457319398
  72. Wed Oct 17 16:50:43 2018  error -9 reading relation 457655260
  73. Wed Oct 17 16:50:46 2018  error -9 reading relation 458064357
  74. Wed Oct 17 16:50:48 2018  error -9 reading relation 458215398
  75. Wed Oct 17 16:50:48 2018  error -1 reading relation 458217824
  76. Wed Oct 17 16:50:50 2018  error -5 reading relation 458466875
  77. Wed Oct 17 16:50:51 2018  error -15 reading relation 458650717
  78. Wed Oct 17 16:50:52 2018  error -9 reading relation 458736451
  79. Wed Oct 17 16:51:01 2018  error -15 reading relation 459796468
  80. Wed Oct 17 16:51:01 2018  error -9 reading relation 459804543
  81. Wed Oct 17 16:51:02 2018  error -15 reading relation 459947014
  82. Wed Oct 17 16:51:03 2018  skipped 753 relations with b > 2^32
  83. Wed Oct 17 16:51:03 2018  found 84938697 hash collisions in 459994820 relations
  84. Wed Oct 17 16:51:03 2018  commencing duplicate removal, pass 2
  85. Wed Oct 17 17:05:26 2018  found 65568157 duplicates and 394426663 unique relations
  86. Wed Oct 17 17:05:26 2018  memory use: 2387.0 MB
  87. Wed Oct 17 17:05:26 2018  reading ideals above 229965824
  88. Wed Oct 17 17:05:26 2018  commencing singleton removal, initial pass
  89. Wed Oct 17 18:11:41 2018  memory use: 6024.0 MB
  90. Wed Oct 17 18:11:42 2018  reading all ideals from disk
  91. Wed Oct 17 18:14:04 2018  memory use: 6661.0 MB
  92. Wed Oct 17 18:14:18 2018  commencing in-memory singleton removal
  93. Wed Oct 17 18:14:32 2018  begin with 394426663 relations and 310859028 unique ideals
  94. Wed Oct 17 18:16:57 2018  reduce to 265473829 relations and 169305700 ideals in 13 passes
  95. Wed Oct 17 18:16:57 2018  max relations containing the same ideal: 58
  96. Wed Oct 17 18:17:16 2018  reading ideals above 720000
  97. Wed Oct 17 18:17:16 2018  commencing singleton removal, initial pass
  98. Wed Oct 17 19:15:13 2018  memory use: 5512.0 MB
  99. Wed Oct 17 19:15:13 2018  reading large ideals from disk
  100. Wed Oct 17 19:19:50 2018  keeping 177421621 ideals with weight <= 20, target excess is 17164800
  101. Wed Oct 17 19:25:01 2018  memory use: 7122.5 MB
  102. Wed Oct 17 19:25:01 2018  commencing in-memory singleton removal
  103. Wed Oct 17 19:25:11 2018  begin with 265473830 relations and 177421621 unique ideals
  104. Wed Oct 17 19:26:29 2018  reduce to 265472186 relations and 177419977 ideals in 7 passes
  105. Wed Oct 17 19:26:29 2018  max relations containing the same ideal: 20
  106. Wed Oct 17 19:27:34 2018  removing 11006034 relations and 9006034 ideals in 2000000 cliques
  107. Wed Oct 17 19:27:38 2018  commencing in-memory singleton removal
  108. Wed Oct 17 19:27:48 2018  begin with 254466152 relations and 177419977 unique ideals
  109. Wed Oct 17 19:29:15 2018  reduce to 254083479 relations and 168027116 ideals in 8 passes
  110. Wed Oct 17 19:29:15 2018  max relations containing the same ideal: 20
  111. Wed Oct 17 19:30:17 2018  removing 8240454 relations and 6240454 ideals in 2000000 cliques
  112. Wed Oct 17 19:30:20 2018  commencing in-memory singleton removal
  113. Wed Oct 17 19:30:29 2018  begin with 245843025 relations and 168027116 unique ideals
  114. Wed Oct 17 19:31:42 2018  reduce to 245589895 relations and 161531222 ideals in 7 passes
  115. Wed Oct 17 19:31:42 2018  max relations containing the same ideal: 20
  116. Wed Oct 17 19:32:43 2018  removing 7409029 relations and 5409029 ideals in 2000000 cliques
  117. Wed Oct 17 19:32:46 2018  commencing in-memory singleton removal
  118. Wed Oct 17 19:32:54 2018  begin with 238180866 relations and 161531222 unique ideals
  119. Wed Oct 17 19:34:05 2018  reduce to 237964669 relations and 155904121 ideals in 7 passes
  120. Wed Oct 17 19:34:05 2018  max relations containing the same ideal: 20
  121. Wed Oct 17 19:35:03 2018  removing 7016139 relations and 5016139 ideals in 2000000 cliques
  122. Wed Oct 17 19:35:06 2018  commencing in-memory singleton removal
  123. Wed Oct 17 19:35:15 2018  begin with 230948530 relations and 155904121 unique ideals
  124. Wed Oct 17 19:36:22 2018  reduce to 230752841 relations and 150690589 ideals in 7 passes
  125. Wed Oct 17 19:36:22 2018  max relations containing the same ideal: 20
  126. Wed Oct 17 19:37:19 2018  removing 6694652 relations and 4694652 ideals in 2000000 cliques
  127. Wed Oct 17 19:37:22 2018  commencing in-memory singleton removal
  128. Wed Oct 17 19:37:29 2018  begin with 224058189 relations and 150690589 unique ideals
  129. Wed Oct 17 19:38:35 2018  reduce to 223871853 relations and 145807925 ideals in 7 passes
  130. Wed Oct 17 19:38:35 2018  max relations containing the same ideal: 20
  131. Wed Oct 17 19:39:30 2018  removing 6523198 relations and 4523198 ideals in 2000000 cliques
  132. Wed Oct 17 19:39:33 2018  commencing in-memory singleton removal
  133. Wed Oct 17 19:39:40 2018  begin with 217348655 relations and 145807925 unique ideals
  134. Wed Oct 17 19:40:34 2018  reduce to 217176328 relations and 141110738 ideals in 6 passes
  135. Wed Oct 17 19:40:34 2018  max relations containing the same ideal: 20
  136. Wed Oct 17 19:41:27 2018  removing 6351625 relations and 4351625 ideals in 2000000 cliques
  137. Wed Oct 17 19:41:30 2018  commencing in-memory singleton removal
  138. Wed Oct 17 19:41:38 2018  begin with 210824703 relations and 141110738 unique ideals
  139. Wed Oct 17 19:42:38 2018  reduce to 210657174 relations and 136589951 ideals in 7 passes
  140. Wed Oct 17 19:42:38 2018  max relations containing the same ideal: 20
  141. Wed Oct 17 19:43:30 2018  removing 6282907 relations and 4282907 ideals in 2000000 cliques
  142. Wed Oct 17 19:43:33 2018  commencing in-memory singleton removal
  143. Wed Oct 17 19:43:40 2018  begin with 204374267 relations and 136589951 unique ideals
  144. Wed Oct 17 19:44:47 2018  reduce to 204214326 relations and 132145553 ideals in 8 passes
  145. Wed Oct 17 19:44:47 2018  max relations containing the same ideal: 20
  146. Wed Oct 17 19:45:38 2018  removing 6122828 relations and 4122828 ideals in 2000000 cliques
  147. Wed Oct 17 19:45:40 2018  commencing in-memory singleton removal
  148. Wed Oct 17 19:45:47 2018  begin with 198091498 relations and 132145553 unique ideals
  149. Wed Oct 17 19:46:43 2018  reduce to 197930774 relations and 127860349 ideals in 7 passes
  150. Wed Oct 17 19:46:43 2018  max relations containing the same ideal: 20
  151. Wed Oct 17 19:47:32 2018  removing 6024105 relations and 4024105 ideals in 2000000 cliques
  152. Wed Oct 17 19:47:34 2018  commencing in-memory singleton removal
  153. Wed Oct 17 19:47:41 2018  begin with 191906669 relations and 127860349 unique ideals
  154. Wed Oct 17 19:48:27 2018  reduce to 191741386 relations and 123669079 ideals in 6 passes
  155. Wed Oct 17 19:48:27 2018  max relations containing the same ideal: 20
  156. Wed Oct 17 19:49:14 2018  removing 6020370 relations and 4020370 ideals in 2000000 cliques
  157. Wed Oct 17 19:49:16 2018  commencing in-memory singleton removal
  158. Wed Oct 17 19:49:23 2018  begin with 185721016 relations and 123669079 unique ideals
  159. Wed Oct 17 19:50:07 2018  reduce to 185565654 relations and 119491487 ideals in 6 passes
  160. Wed Oct 17 19:50:07 2018  max relations containing the same ideal: 20
  161. Wed Oct 17 19:50:53 2018  removing 5938341 relations and 3938341 ideals in 2000000 cliques
  162. Wed Oct 17 19:50:56 2018  commencing in-memory singleton removal
  163. Wed Oct 17 19:51:02 2018  begin with 179627313 relations and 119491487 unique ideals
  164. Wed Oct 17 19:52:05 2018  reduce to 179476763 relations and 115400784 ideals in 9 passes
  165. Wed Oct 17 19:52:05 2018  max relations containing the same ideal: 20
  166. Wed Oct 17 19:52:50 2018  removing 5834817 relations and 3834817 ideals in 2000000 cliques
  167. Wed Oct 17 19:52:52 2018  commencing in-memory singleton removal
  168. Wed Oct 17 19:52:58 2018  begin with 173641946 relations and 115400784 unique ideals
  169. Wed Oct 17 19:53:45 2018  reduce to 173468534 relations and 111390392 ideals in 7 passes
  170. Wed Oct 17 19:53:45 2018  max relations containing the same ideal: 20
  171. Wed Oct 17 19:54:28 2018  removing 5800028 relations and 3800028 ideals in 2000000 cliques
  172. Wed Oct 17 19:54:30 2018  commencing in-memory singleton removal
  173. Wed Oct 17 19:54:35 2018  begin with 167668506 relations and 111390392 unique ideals
  174. Wed Oct 17 19:55:21 2018  reduce to 167497880 relations and 107417381 ideals in 7 passes
  175. Wed Oct 17 19:55:21 2018  max relations containing the same ideal: 20
  176. Wed Oct 17 19:56:02 2018  removing 5854663 relations and 3854663 ideals in 2000000 cliques
  177. Wed Oct 17 19:56:04 2018  commencing in-memory singleton removal
  178. Wed Oct 17 19:56:09 2018  begin with 161643217 relations and 107417381 unique ideals
  179. Wed Oct 17 19:56:53 2018  reduce to 161483225 relations and 103400435 ideals in 7 passes
  180. Wed Oct 17 19:56:53 2018  max relations containing the same ideal: 20
  181. Wed Oct 17 19:57:31 2018  removing 5734907 relations and 3734907 ideals in 2000000 cliques
  182. Wed Oct 17 19:57:33 2018  commencing in-memory singleton removal
  183. Wed Oct 17 19:57:38 2018  begin with 155748318 relations and 103400435 unique ideals
  184. Wed Oct 17 19:58:20 2018  reduce to 155585062 relations and 99499977 ideals in 7 passes
  185. Wed Oct 17 19:58:20 2018  max relations containing the same ideal: 20
  186. Wed Oct 17 19:58:57 2018  removing 5775319 relations and 3775319 ideals in 2000000 cliques
  187. Wed Oct 17 19:58:59 2018  commencing in-memory singleton removal
  188. Wed Oct 17 19:59:04 2018  begin with 149809743 relations and 99499977 unique ideals
  189. Wed Oct 17 19:59:38 2018  reduce to 149649811 relations and 95562370 ideals in 6 passes
  190. Wed Oct 17 19:59:38 2018  max relations containing the same ideal: 20
  191. Wed Oct 17 20:00:13 2018  removing 5596044 relations and 3596044 ideals in 2000000 cliques
  192. Wed Oct 17 20:00:16 2018  commencing in-memory singleton removal
  193. Wed Oct 17 20:00:20 2018  begin with 144053767 relations and 95562370 unique ideals
  194. Wed Oct 17 20:00:58 2018  reduce to 143852247 relations and 91761717 ideals in 7 passes
  195. Wed Oct 17 20:00:58 2018  max relations containing the same ideal: 20
  196. Wed Oct 17 20:01:33 2018  removing 5692106 relations and 3692106 ideals in 2000000 cliques
  197. Wed Oct 17 20:01:35 2018  commencing in-memory singleton removal
  198. Wed Oct 17 20:01:39 2018  begin with 138160141 relations and 91761717 unique ideals
  199. Wed Oct 17 20:02:20 2018  reduce to 137976744 relations and 87883317 ideals in 8 passes
  200. Wed Oct 17 20:02:20 2018  max relations containing the same ideal: 20
  201. Wed Oct 17 20:02:52 2018  removing 5727395 relations and 3727395 ideals in 2000000 cliques
  202. Wed Oct 17 20:02:54 2018  commencing in-memory singleton removal
  203. Wed Oct 17 20:02:58 2018  begin with 132249349 relations and 87883317 unique ideals
  204. Wed Oct 17 20:03:32 2018  reduce to 132073228 relations and 83976934 ideals in 7 passes
  205. Wed Oct 17 20:03:32 2018  max relations containing the same ideal: 19
  206. Wed Oct 17 20:04:03 2018  removing 5624843 relations and 3624843 ideals in 2000000 cliques
  207. Wed Oct 17 20:04:05 2018  commencing in-memory singleton removal
  208. Wed Oct 17 20:04:09 2018  begin with 126448385 relations and 83976934 unique ideals
  209. Wed Oct 17 20:04:40 2018  reduce to 126247738 relations and 80148062 ideals in 7 passes
  210. Wed Oct 17 20:04:40 2018  max relations containing the same ideal: 19
  211. Wed Oct 17 20:05:10 2018  removing 5660866 relations and 3660866 ideals in 2000000 cliques
  212. Wed Oct 17 20:05:12 2018  commencing in-memory singleton removal
  213. Wed Oct 17 20:05:16 2018  begin with 120586872 relations and 80148062 unique ideals
  214. Wed Oct 17 20:05:46 2018  reduce to 120389569 relations and 76286358 ideals in 7 passes
  215. Wed Oct 17 20:05:46 2018  max relations containing the same ideal: 19
  216. Wed Oct 17 20:06:14 2018  removing 5607930 relations and 3607930 ideals in 2000000 cliques
  217. Wed Oct 17 20:06:16 2018  commencing in-memory singleton removal
  218. Wed Oct 17 20:06:20 2018  begin with 114781639 relations and 76286358 unique ideals
  219. Wed Oct 17 20:06:48 2018  reduce to 114572833 relations and 72465614 ideals in 7 passes
  220. Wed Oct 17 20:06:48 2018  max relations containing the same ideal: 19
  221. Wed Oct 17 20:07:14 2018  removing 5576733 relations and 3576733 ideals in 2000000 cliques
  222. Wed Oct 17 20:07:16 2018  commencing in-memory singleton removal
  223. Wed Oct 17 20:07:19 2018  begin with 108996100 relations and 72465614 unique ideals
  224. Wed Oct 17 20:07:46 2018  reduce to 108765196 relations and 68653422 ideals in 7 passes
  225. Wed Oct 17 20:07:46 2018  max relations containing the same ideal: 19
  226. Wed Oct 17 20:08:11 2018  removing 5649005 relations and 3649005 ideals in 2000000 cliques
  227. Wed Oct 17 20:08:13 2018  commencing in-memory singleton removal
  228. Wed Oct 17 20:08:16 2018  begin with 103116191 relations and 68653422 unique ideals
  229. Wed Oct 17 20:08:44 2018  reduce to 102873782 relations and 64757010 ideals in 8 passes
  230. Wed Oct 17 20:08:44 2018  max relations containing the same ideal: 19
  231. Wed Oct 17 20:09:08 2018  removing 5646470 relations and 3646470 ideals in 2000000 cliques
  232. Wed Oct 17 20:09:10 2018  commencing in-memory singleton removal
  233. Wed Oct 17 20:09:13 2018  begin with 97227312 relations and 64757010 unique ideals
  234. Wed Oct 17 20:09:39 2018  reduce to 96981168 relations and 60859031 ideals in 8 passes
  235. Wed Oct 17 20:09:39 2018  max relations containing the same ideal: 19
  236. Wed Oct 17 20:10:01 2018  removing 5598429 relations and 3598429 ideals in 2000000 cliques
  237. Wed Oct 17 20:10:03 2018  commencing in-memory singleton removal
  238. Wed Oct 17 20:10:05 2018  begin with 91382739 relations and 60859031 unique ideals
  239. Wed Oct 17 20:10:26 2018  reduce to 91109304 relations and 56980831 ideals in 7 passes
  240. Wed Oct 17 20:10:26 2018  max relations containing the same ideal: 19
  241. Wed Oct 17 20:10:47 2018  removing 5660445 relations and 3660445 ideals in 2000000 cliques
  242. Wed Oct 17 20:10:49 2018  commencing in-memory singleton removal
  243. Wed Oct 17 20:10:51 2018  begin with 85448859 relations and 56980831 unique ideals
  244. Wed Oct 17 20:11:13 2018  reduce to 85172030 relations and 53037073 ideals in 8 passes
  245. Wed Oct 17 20:11:13 2018  max relations containing the same ideal: 18
  246. Wed Oct 17 20:11:33 2018  removing 5678985 relations and 3678985 ideals in 2000000 cliques
  247. Wed Oct 17 20:11:34 2018  commencing in-memory singleton removal
  248. Wed Oct 17 20:11:36 2018  begin with 79493045 relations and 53037073 unique ideals
  249. Wed Oct 17 20:11:54 2018  reduce to 79216956 relations and 49075352 ideals in 7 passes
  250. Wed Oct 17 20:11:54 2018  max relations containing the same ideal: 18
  251. Wed Oct 17 20:12:12 2018  removing 5737500 relations and 3737500 ideals in 2000000 cliques
  252. Wed Oct 17 20:12:13 2018  commencing in-memory singleton removal
  253. Wed Oct 17 20:12:15 2018  begin with 73479456 relations and 49075352 unique ideals
  254. Wed Oct 17 20:12:31 2018  reduce to 73216185 relations and 45068543 ideals in 7 passes
  255. Wed Oct 17 20:12:31 2018  max relations containing the same ideal: 17
  256. Wed Oct 17 20:12:47 2018  removing 5765992 relations and 3765992 ideals in 2000000 cliques
  257. Wed Oct 17 20:12:49 2018  commencing in-memory singleton removal
  258. Wed Oct 17 20:12:50 2018  begin with 67450193 relations and 45068543 unique ideals
  259. Wed Oct 17 20:13:08 2018  reduce to 67064753 relations and 40906806 ideals in 9 passes
  260. Wed Oct 17 20:13:08 2018  max relations containing the same ideal: 16
  261. Wed Oct 17 20:13:24 2018  removing 5550174 relations and 3550174 ideals in 2000000 cliques
  262. Wed Oct 17 20:13:25 2018  commencing in-memory singleton removal
  263. Wed Oct 17 20:13:26 2018  begin with 61514579 relations and 40906806 unique ideals
  264. Wed Oct 17 20:13:41 2018  reduce to 60990977 relations and 36814364 ideals in 8 passes
  265. Wed Oct 17 20:13:41 2018  max relations containing the same ideal: 16
  266. Wed Oct 17 20:13:55 2018  removing 5778167 relations and 3778167 ideals in 2000000 cliques
  267. Wed Oct 17 20:13:56 2018  commencing in-memory singleton removal
  268. Wed Oct 17 20:13:57 2018  begin with 55212810 relations and 36814364 unique ideals
  269. Wed Oct 17 20:14:10 2018  reduce to 54804252 relations and 32612663 ideals in 8 passes
  270. Wed Oct 17 20:14:10 2018  max relations containing the same ideal: 15
  271. Wed Oct 17 20:14:22 2018  removing 5664457 relations and 3664457 ideals in 2000000 cliques
  272. Wed Oct 17 20:14:23 2018  commencing in-memory singleton removal
  273. Wed Oct 17 20:14:24 2018  begin with 49139795 relations and 32612663 unique ideals
  274. Wed Oct 17 20:14:36 2018  reduce to 48581742 relations and 28365580 ideals in 9 passes
  275. Wed Oct 17 20:14:36 2018  max relations containing the same ideal: 15
  276. Wed Oct 17 20:14:47 2018  removing 838984 relations and 533991 ideals in 304993 cliques
  277. Wed Oct 17 20:14:47 2018  commencing in-memory singleton removal
  278. Wed Oct 17 20:14:48 2018  begin with 47742758 relations and 28365580 unique ideals
  279. Wed Oct 17 20:14:57 2018  reduce to 47711582 relations and 27800140 ideals in 7 passes
  280. Wed Oct 17 20:14:57 2018  max relations containing the same ideal: 15
  281. Wed Oct 17 20:15:09 2018  relations with 0 large ideals: 5745041
  282. Wed Oct 17 20:15:09 2018  relations with 1 large ideals: 19788138
  283. Wed Oct 17 20:15:09 2018  relations with 2 large ideals: 17561245
  284. Wed Oct 17 20:15:09 2018  relations with 3 large ideals: 4310145
  285. Wed Oct 17 20:15:09 2018  relations with 4 large ideals: 295793
  286. Wed Oct 17 20:15:09 2018  relations with 5 large ideals: 10976
  287. Wed Oct 17 20:15:09 2018  relations with 6 large ideals: 244
  288. Wed Oct 17 20:15:09 2018  relations with 7+ large ideals: 0
  289. Wed Oct 17 20:15:09 2018  commencing 2-way merge
  290. Wed Oct 17 20:15:23 2018  reduce to 27516838 relation sets and 7605396 unique ideals
  291. Wed Oct 17 20:15:23 2018  commencing full merge
  292. Wed Oct 17 20:15:52 2018  memory use: 924.4 MB
  293. Wed Oct 17 20:15:54 2018  found 19911415 cycles, need 17165000
  294. Wed Oct 17 20:15:56 2018  weight of 17165000 cycles is about 673131738 (39.22/cycle)
  295. Wed Oct 17 20:15:56 2018  distribution of cycle lengths:
  296. Wed Oct 17 20:15:56 2018  1 relations: 5745041
  297. Wed Oct 17 20:15:56 2018  2 relations: 3169255
  298. Wed Oct 17 20:15:56 2018  3 relations: 2654806
  299. Wed Oct 17 20:15:56 2018  4 relations: 2249345
  300. Wed Oct 17 20:15:56 2018  5 relations: 1790481
  301. Wed Oct 17 20:15:56 2018  6 relations: 1321091
  302. Wed Oct 17 20:15:56 2018  7 relations: 234981
  303. Wed Oct 17 20:15:56 2018  8 relations: 0
  304. Wed Oct 17 20:15:56 2018  9 relations: 0
  305. Wed Oct 17 20:15:56 2018  10+ relations: 0
  306. Wed Oct 17 20:15:56 2018  heaviest cycle: 7 relations
  307. Wed Oct 17 20:15:56 2018  matrix not dense enough, retrying
  308. Wed Oct 17 20:16:01 2018  reading large ideals from disk
  309. Wed Oct 17 20:20:20 2018  keeping 178983547 ideals with weight <= 25, target excess is 15602874
  310. Wed Oct 17 20:25:34 2018  memory use: 7122.5 MB
  311. Wed Oct 17 20:25:34 2018  commencing in-memory singleton removal
  312. Wed Oct 17 20:25:45 2018  begin with 265473830 relations and 178983547 unique ideals
  313. Wed Oct 17 20:27:07 2018  reduce to 265472186 relations and 178981903 ideals in 7 passes
  314. Wed Oct 17 20:27:07 2018  max relations containing the same ideal: 25
  315. Wed Oct 17 20:28:16 2018  removing 11067896 relations and 9067896 ideals in 2000000 cliques
  316. Wed Oct 17 20:28:20 2018  commencing in-memory singleton removal
  317. Wed Oct 17 20:28:29 2018  begin with 254404290 relations and 178981903 unique ideals
  318. Wed Oct 17 20:29:49 2018  reduce to 254024959 relations and 169530582 ideals in 7 passes
  319. Wed Oct 17 20:29:49 2018  max relations containing the same ideal: 25
  320. Wed Oct 17 20:30:54 2018  removing 8278317 relations and 6278317 ideals in 2000000 cliques
  321. Wed Oct 17 20:30:57 2018  commencing in-memory singleton removal
  322. Wed Oct 17 20:31:07 2018  begin with 245746642 relations and 169530582 unique ideals
  323. Wed Oct 17 20:32:12 2018  reduce to 245493253 relations and 162996612 ideals in 6 passes
  324. Wed Oct 17 20:32:12 2018  max relations containing the same ideal: 25
  325. Wed Oct 17 20:33:15 2018  removing 7473869 relations and 5473869 ideals in 2000000 cliques
  326. Wed Oct 17 20:33:19 2018  commencing in-memory singleton removal
  327. Wed Oct 17 20:33:28 2018  begin with 238019384 relations and 162996612 unique ideals
  328. Wed Oct 17 20:34:42 2018  reduce to 237806306 relations and 157307789 ideals in 7 passes
  329. Wed Oct 17 20:34:42 2018  max relations containing the same ideal: 25
  330. Wed Oct 17 20:35:43 2018  removing 7014651 relations and 5014651 ideals in 2000000 cliques
  331. Wed Oct 17 20:35:46 2018  commencing in-memory singleton removal
  332. Wed Oct 17 20:35:55 2018  begin with 230791655 relations and 157307789 unique ideals
  333. Wed Oct 17 20:37:06 2018  reduce to 230595568 relations and 152095360 ideals in 7 passes
  334. Wed Oct 17 20:37:06 2018  max relations containing the same ideal: 25
  335. Wed Oct 17 20:38:05 2018  removing 6773815 relations and 4773815 ideals in 2000000 cliques
  336. Wed Oct 17 20:38:08 2018  commencing in-memory singleton removal
  337. Wed Oct 17 20:38:16 2018  begin with 223821753 relations and 152095360 unique ideals
  338. Wed Oct 17 20:39:15 2018  reduce to 223644888 relations and 147143108 ideals in 6 passes
  339. Wed Oct 17 20:39:15 2018  max relations containing the same ideal: 25
  340. Wed Oct 17 20:40:13 2018  removing 6521841 relations and 4521841 ideals in 2000000 cliques
  341. Wed Oct 17 20:40:16 2018  commencing in-memory singleton removal
  342. Wed Oct 17 20:40:24 2018  begin with 217123047 relations and 147143108 unique ideals
  343. Wed Oct 17 20:41:39 2018  reduce to 216949419 relations and 142446062 ideals in 8 passes
  344. Wed Oct 17 20:41:39 2018  max relations containing the same ideal: 25
  345. Wed Oct 17 20:42:34 2018  removing 6397746 relations and 4397746 ideals in 2000000 cliques
  346. Wed Oct 17 20:42:37 2018  commencing in-memory singleton removal
  347. Wed Oct 17 20:42:45 2018  begin with 210551673 relations and 142446062 unique ideals
  348. Wed Oct 17 20:43:49 2018  reduce to 210387923 relations and 137882940 ideals in 7 passes
  349. Wed Oct 17 20:43:49 2018  max relations containing the same ideal: 25
  350. Wed Oct 17 20:44:43 2018  removing 6232070 relations and 4232070 ideals in 2000000 cliques
  351. Wed Oct 17 20:44:45 2018  commencing in-memory singleton removal
  352. Wed Oct 17 20:44:53 2018  begin with 204155853 relations and 137882940 unique ideals
  353. Wed Oct 17 20:45:46 2018  reduce to 203990529 relations and 133483859 ideals in 6 passes
  354. Wed Oct 17 20:45:46 2018  max relations containing the same ideal: 25
  355. Wed Oct 17 20:46:38 2018  removing 6142592 relations and 4142592 ideals in 2000000 cliques
  356. Wed Oct 17 20:46:40 2018  commencing in-memory singleton removal
  357. Wed Oct 17 20:46:47 2018  begin with 197847937 relations and 133483859 unique ideals
  358. Wed Oct 17 20:47:46 2018  reduce to 197685330 relations and 129176969 ideals in 7 passes
  359. Wed Oct 17 20:47:46 2018  max relations containing the same ideal: 25
  360. Wed Oct 17 20:48:37 2018  removing 6113582 relations and 4113582 ideals in 2000000 cliques
  361. Wed Oct 17 20:48:39 2018  commencing in-memory singleton removal
  362. Wed Oct 17 20:48:46 2018  begin with 191571748 relations and 129176969 unique ideals
  363. Wed Oct 17 20:49:35 2018  reduce to 191417480 relations and 124907469 ideals in 6 passes
  364. Wed Oct 17 20:49:35 2018  max relations containing the same ideal: 25
  365. Wed Oct 17 20:50:24 2018  removing 5988942 relations and 3988942 ideals in 2000000 cliques
  366. Wed Oct 17 20:50:26 2018  commencing in-memory singleton removal
  367. Wed Oct 17 20:50:33 2018  begin with 185428538 relations and 124907469 unique ideals
  368. Wed Oct 17 20:51:20 2018  reduce to 185268951 relations and 120757084 ideals in 6 passes
  369. Wed Oct 17 20:51:20 2018  max relations containing the same ideal: 25
  370. Wed Oct 17 20:52:07 2018  removing 5952047 relations and 3952047 ideals in 2000000 cliques
  371. Wed Oct 17 20:52:09 2018  commencing in-memory singleton removal
  372. Wed Oct 17 20:52:16 2018  begin with 179316904 relations and 120757084 unique ideals
  373. Wed Oct 17 20:53:01 2018  reduce to 179157510 relations and 116643734 ideals in 6 passes
  374. Wed Oct 17 20:53:01 2018  max relations containing the same ideal: 25
  375. Wed Oct 17 20:53:46 2018  removing 5899434 relations and 3899434 ideals in 2000000 cliques
  376. Wed Oct 17 20:53:49 2018  commencing in-memory singleton removal
  377. Wed Oct 17 20:53:55 2018  begin with 173258076 relations and 116643734 unique ideals
  378. Wed Oct 17 20:54:37 2018  reduce to 173104247 relations and 112588590 ideals in 6 passes
  379. Wed Oct 17 20:54:37 2018  max relations containing the same ideal: 25
  380. Wed Oct 17 20:55:21 2018  removing 5849034 relations and 3849034 ideals in 2000000 cliques
  381. Wed Oct 17 20:55:24 2018  commencing in-memory singleton removal
  382. Wed Oct 17 20:55:30 2018  begin with 167255213 relations and 112588590 unique ideals
  383. Wed Oct 17 20:56:17 2018  reduce to 167091905 relations and 108574106 ideals in 7 passes
  384. Wed Oct 17 20:56:17 2018  max relations containing the same ideal: 25
  385. Wed Oct 17 20:56:59 2018  removing 5765143 relations and 3765143 ideals in 2000000 cliques
  386. Wed Oct 17 20:57:02 2018  commencing in-memory singleton removal
  387. Wed Oct 17 20:57:07 2018  begin with 161326762 relations and 108574106 unique ideals
  388. Wed Oct 17 20:57:53 2018  reduce to 161149461 relations and 104629195 ideals in 7 passes
  389. Wed Oct 17 20:57:53 2018  max relations containing the same ideal: 25
  390. Wed Oct 17 20:58:34 2018  removing 5768482 relations and 3768482 ideals in 2000000 cliques
  391. Wed Oct 17 20:58:36 2018  commencing in-memory singleton removal
  392. Wed Oct 17 20:58:41 2018  begin with 155380979 relations and 104629195 unique ideals
  393. Wed Oct 17 20:59:25 2018  reduce to 155213465 relations and 100690729 ideals in 7 passes
  394. Wed Oct 17 20:59:25 2018  max relations containing the same ideal: 25
  395. Wed Oct 17 21:00:04 2018  removing 5782180 relations and 3782180 ideals in 2000000 cliques
  396. Wed Oct 17 21:00:06 2018  commencing in-memory singleton removal
  397. Wed Oct 17 21:00:11 2018  begin with 149431285 relations and 100690729 unique ideals
  398. Wed Oct 17 21:00:46 2018  reduce to 149266034 relations and 96740766 ideals in 6 passes
  399. Wed Oct 17 21:00:46 2018  max relations containing the same ideal: 24
  400. Wed Oct 17 21:01:23 2018  removing 5728301 relations and 3728301 ideals in 2000000 cliques
  401. Wed Oct 17 21:01:26 2018  commencing in-memory singleton removal
  402. Wed Oct 17 21:01:30 2018  begin with 143537733 relations and 96740766 unique ideals
  403. Wed Oct 17 21:02:04 2018  reduce to 143370180 relations and 92842340 ideals in 6 passes
  404. Wed Oct 17 21:02:04 2018  max relations containing the same ideal: 24
  405. Wed Oct 17 21:02:40 2018  removing 5721138 relations and 3721138 ideals in 2000000 cliques
  406. Wed Oct 17 21:02:42 2018  commencing in-memory singleton removal
  407. Wed Oct 17 21:02:47 2018  begin with 137649042 relations and 92842340 unique ideals
  408. Wed Oct 17 21:03:24 2018  reduce to 137478109 relations and 88947589 ideals in 7 passes
  409. Wed Oct 17 21:03:24 2018  max relations containing the same ideal: 24
  410. Wed Oct 17 21:03:59 2018  removing 5570847 relations and 3570847 ideals in 2000000 cliques
  411. Wed Oct 17 21:04:01 2018  commencing in-memory singleton removal
  412. Wed Oct 17 21:04:05 2018  begin with 131907262 relations and 88947589 unique ideals
  413. Wed Oct 17 21:04:40 2018  reduce to 131695453 relations and 85161438 ideals in 7 passes
  414. Wed Oct 17 21:04:40 2018  max relations containing the same ideal: 24
  415. Wed Oct 17 21:05:13 2018  removing 5678008 relations and 3678008 ideals in 2000000 cliques
  416. Wed Oct 17 21:05:15 2018  commencing in-memory singleton removal
  417. Wed Oct 17 21:05:19 2018  begin with 126017445 relations and 85161438 unique ideals
  418. Wed Oct 17 21:05:53 2018  reduce to 125827717 relations and 81290455 ideals in 7 passes
  419. Wed Oct 17 21:05:53 2018  max relations containing the same ideal: 24
  420. Wed Oct 17 21:06:24 2018  removing 5703438 relations and 3703438 ideals in 2000000 cliques
  421. Wed Oct 17 21:06:26 2018  commencing in-memory singleton removal
  422. Wed Oct 17 21:06:29 2018  begin with 120124279 relations and 81290455 unique ideals
  423. Wed Oct 17 21:06:56 2018  reduce to 119933913 relations and 77393189 ideals in 6 passes
  424. Wed Oct 17 21:06:56 2018  max relations containing the same ideal: 23
  425. Wed Oct 17 21:07:26 2018  removing 5631205 relations and 3631205 ideals in 2000000 cliques
  426. Wed Oct 17 21:07:28 2018  commencing in-memory singleton removal
  427. Wed Oct 17 21:07:31 2018  begin with 114302708 relations and 77393189 unique ideals
  428. Wed Oct 17 21:08:01 2018  reduce to 114092337 relations and 73547778 ideals in 7 passes
  429. Wed Oct 17 21:08:01 2018  max relations containing the same ideal: 23
  430. Wed Oct 17 21:08:29 2018  removing 5640417 relations and 3640417 ideals in 2000000 cliques
  431. Wed Oct 17 21:08:31 2018  commencing in-memory singleton removal
  432. Wed Oct 17 21:08:34 2018  begin with 108451920 relations and 73547778 unique ideals
  433. Wed Oct 17 21:09:01 2018  reduce to 108231729 relations and 69682910 ideals in 7 passes
  434. Wed Oct 17 21:09:01 2018  max relations containing the same ideal: 22
  435. Wed Oct 17 21:09:28 2018  removing 5673547 relations and 3673547 ideals in 2000000 cliques
  436. Wed Oct 17 21:09:30 2018  commencing in-memory singleton removal
  437. Wed Oct 17 21:09:33 2018  begin with 102558182 relations and 69682910 unique ideals
  438. Wed Oct 17 21:09:59 2018  reduce to 102341027 relations and 65787694 ideals in 7 passes
  439. Wed Oct 17 21:09:59 2018  max relations containing the same ideal: 22
  440. Wed Oct 17 21:10:24 2018  removing 5556326 relations and 3556326 ideals in 2000000 cliques
  441. Wed Oct 17 21:10:25 2018  commencing in-memory singleton removal
  442. Wed Oct 17 21:10:28 2018  begin with 96784701 relations and 65787694 unique ideals
  443. Wed Oct 17 21:10:52 2018  reduce to 96519701 relations and 61960670 ideals in 7 passes
  444. Wed Oct 17 21:10:52 2018  max relations containing the same ideal: 21
  445. Wed Oct 17 21:11:16 2018  removing 5678944 relations and 3678944 ideals in 2000000 cliques
  446. Wed Oct 17 21:11:17 2018  commencing in-memory singleton removal
  447. Wed Oct 17 21:11:20 2018  begin with 90840757 relations and 61960670 unique ideals
  448. Wed Oct 17 21:11:42 2018  reduce to 90584988 relations and 58020333 ideals in 7 passes
  449. Wed Oct 17 21:11:42 2018  max relations containing the same ideal: 21
  450. Wed Oct 17 21:12:04 2018  removing 5697664 relations and 3697664 ideals in 2000000 cliques
  451. Wed Oct 17 21:12:05 2018  commencing in-memory singleton removal
  452. Wed Oct 17 21:12:08 2018  begin with 84887324 relations and 58020333 unique ideals
  453. Wed Oct 17 21:12:31 2018  reduce to 84605274 relations and 54033964 ideals in 8 passes
  454. Wed Oct 17 21:12:31 2018  max relations containing the same ideal: 20
  455. Wed Oct 17 21:12:51 2018  removing 5622212 relations and 3622212 ideals in 2000000 cliques
  456. Wed Oct 17 21:12:53 2018  commencing in-memory singleton removal
  457. Wed Oct 17 21:12:55 2018  begin with 78983062 relations and 54033964 unique ideals
  458. Wed Oct 17 21:13:16 2018  reduce to 78682598 relations and 50103506 ideals in 8 passes
  459. Wed Oct 17 21:13:16 2018  max relations containing the same ideal: 20
  460. Wed Oct 17 21:13:35 2018  removing 5741678 relations and 3741678 ideals in 2000000 cliques
  461. Wed Oct 17 21:13:37 2018  commencing in-memory singleton removal
  462. Wed Oct 17 21:13:39 2018  begin with 72940920 relations and 50103506 unique ideals
  463. Wed Oct 17 21:13:58 2018  reduce to 72614174 relations and 46026435 ideals in 8 passes
  464. Wed Oct 17 21:13:58 2018  max relations containing the same ideal: 19
  465. Wed Oct 17 21:14:15 2018  removing 5733485 relations and 3733485 ideals in 2000000 cliques
  466. Wed Oct 17 21:14:17 2018  commencing in-memory singleton removal
  467. Wed Oct 17 21:14:19 2018  begin with 66880689 relations and 46026435 unique ideals
  468. Wed Oct 17 21:14:40 2018  reduce to 66550793 relations and 41954075 ideals in 10 passes
  469. Wed Oct 17 21:14:40 2018  max relations containing the same ideal: 19
  470. Wed Oct 17 21:14:56 2018  removing 5804130 relations and 3804130 ideals in 2000000 cliques
  471. Wed Oct 17 21:14:57 2018  commencing in-memory singleton removal
  472. Wed Oct 17 21:14:59 2018  begin with 60746663 relations and 41954075 unique ideals
  473. Wed Oct 17 21:15:14 2018  reduce to 60410606 relations and 37804610 ideals in 8 passes
  474. Wed Oct 17 21:15:14 2018  max relations containing the same ideal: 18
  475. Wed Oct 17 21:15:28 2018  removing 5824976 relations and 3824976 ideals in 2000000 cliques
  476. Wed Oct 17 21:15:29 2018  commencing in-memory singleton removal
  477. Wed Oct 17 21:15:30 2018  begin with 54585630 relations and 37804610 unique ideals
  478. Wed Oct 17 21:15:45 2018  reduce to 54114480 relations and 33493367 ideals in 9 passes
  479. Wed Oct 17 21:15:45 2018  max relations containing the same ideal: 17
  480. Wed Oct 17 21:15:58 2018  removing 5743388 relations and 3743388 ideals in 2000000 cliques
  481. Wed Oct 17 21:15:59 2018  commencing in-memory singleton removal
  482. Wed Oct 17 21:16:00 2018  begin with 48371092 relations and 33493367 unique ideals
  483. Wed Oct 17 21:16:11 2018  reduce to 47810398 relations and 29166511 ideals in 8 passes
  484. Wed Oct 17 21:16:11 2018  max relations containing the same ideal: 16
  485. Wed Oct 17 21:16:22 2018  removing 1576504 relations and 1031951 ideals in 544553 cliques
  486. Wed Oct 17 21:16:23 2018  commencing in-memory singleton removal
  487. Wed Oct 17 21:16:24 2018  begin with 46233894 relations and 29166511 unique ideals
  488. Wed Oct 17 21:16:36 2018  reduce to 46157112 relations and 28056742 ideals in 9 passes
  489. Wed Oct 17 21:16:36 2018  max relations containing the same ideal: 16
  490. Wed Oct 17 21:16:47 2018  relations with 0 large ideals: 4559830
  491. Wed Oct 17 21:16:47 2018  relations with 1 large ideals: 17370995
  492. Wed Oct 17 21:16:47 2018  relations with 2 large ideals: 18020297
  493. Wed Oct 17 21:16:47 2018  relations with 3 large ideals: 5616440
  494. Wed Oct 17 21:16:47 2018  relations with 4 large ideals: 557343
  495. Wed Oct 17 21:16:47 2018  relations with 5 large ideals: 31115
  496. Wed Oct 17 21:16:47 2018  relations with 6 large ideals: 1073
  497. Wed Oct 17 21:16:47 2018  relations with 7+ large ideals: 19
  498. Wed Oct 17 21:16:47 2018  commencing 2-way merge
  499. Wed Oct 17 21:17:02 2018  reduce to 27006543 relation sets and 8906172 unique ideals
  500. Wed Oct 17 21:17:02 2018  commencing full merge
  501. Wed Oct 17 21:17:43 2018  memory use: 988.3 MB
  502. Wed Oct 17 21:17:45 2018  found 18099585 cycles, need 15603074
  503. Wed Oct 17 21:17:46 2018  weight of 15603074 cycles is about 741843198 (47.54/cycle)
  504. Wed Oct 17 21:17:46 2018  distribution of cycle lengths:
  505. Wed Oct 17 21:17:46 2018  1 relations: 4559830
  506. Wed Oct 17 21:17:46 2018  2 relations: 2443824
  507. Wed Oct 17 21:17:46 2018  3 relations: 2010279
  508. Wed Oct 17 21:17:46 2018  4 relations: 1805059
  509. Wed Oct 17 21:17:46 2018  5 relations: 1601916
  510. Wed Oct 17 21:17:46 2018  6 relations: 1342443
  511. Wed Oct 17 21:17:46 2018  7 relations: 1036269
  512. Wed Oct 17 21:17:46 2018  8 relations: 778330
  513. Wed Oct 17 21:17:46 2018  9 relations: 25124
  514. Wed Oct 17 21:17:46 2018  10+ relations: 0
  515. Wed Oct 17 21:17:47 2018  heaviest cycle: 9 relations
  516. Wed Oct 17 21:17:47 2018  matrix not dense enough, retrying
  517. Wed Oct 17 21:17:51 2018  reading large ideals from disk
  518. Wed Oct 17 21:22:09 2018  keeping 180273656 ideals with weight <= 30, target excess is 14312765
  519. Wed Oct 17 21:27:14 2018  memory use: 7122.5 MB
  520. Wed Oct 17 21:27:14 2018  commencing in-memory singleton removal
  521. Wed Oct 17 21:27:25 2018  begin with 265473830 relations and 180273656 unique ideals
  522. Wed Oct 17 21:28:51 2018  reduce to 265472186 relations and 180272012 ideals in 7 passes
  523. Wed Oct 17 21:28:51 2018  max relations containing the same ideal: 30
  524. Wed Oct 17 21:30:03 2018  removing 11111726 relations and 9111726 ideals in 2000000 cliques
  525. Wed Oct 17 21:30:07 2018  commencing in-memory singleton removal
  526. Wed Oct 17 21:30:17 2018  begin with 254360460 relations and 180272012 unique ideals
  527. Wed Oct 17 21:31:40 2018  reduce to 253983053 relations and 170778814 ideals in 7 passes
  528. Wed Oct 17 21:31:40 2018  max relations containing the same ideal: 30
  529. Wed Oct 17 21:32:48 2018  removing 8337957 relations and 6337957 ideals in 2000000 cliques
  530. Wed Oct 17 21:32:51 2018  commencing in-memory singleton removal
  531. Wed Oct 17 21:33:01 2018  begin with 245645096 relations and 170778814 unique ideals
  532. Wed Oct 17 21:34:21 2018  reduce to 245396090 relations and 164189652 ideals in 7 passes
  533. Wed Oct 17 21:34:21 2018  max relations containing the same ideal: 30
  534. Wed Oct 17 21:35:27 2018  removing 7484788 relations and 5484788 ideals in 2000000 cliques
  535. Wed Oct 17 21:35:30 2018  commencing in-memory singleton removal
  536. Wed Oct 17 21:35:40 2018  begin with 237911302 relations and 164189652 unique ideals
  537. Wed Oct 17 21:36:56 2018  reduce to 237697559 relations and 158489192 ideals in 7 passes
  538. Wed Oct 17 21:36:56 2018  max relations containing the same ideal: 30
  539. Wed Oct 17 21:37:59 2018  removing 7041483 relations and 5041483 ideals in 2000000 cliques
  540. Wed Oct 17 21:38:02 2018  commencing in-memory singleton removal
  541. Wed Oct 17 21:38:11 2018  begin with 230656076 relations and 158489192 unique ideals
  542. Wed Oct 17 21:39:24 2018  reduce to 230461165 relations and 153251110 ideals in 7 passes
  543. Wed Oct 17 21:39:24 2018  max relations containing the same ideal: 30
  544. Wed Oct 17 21:40:25 2018  removing 6785289 relations and 4785289 ideals in 2000000 cliques
  545. Wed Oct 17 21:40:28 2018  commencing in-memory singleton removal
  546. Wed Oct 17 21:40:37 2018  begin with 223675876 relations and 153251110 unique ideals
  547. Wed Oct 17 21:41:48 2018  reduce to 223498847 relations and 148287282 ideals in 7 passes
  548. Wed Oct 17 21:41:48 2018  max relations containing the same ideal: 30
  549. Wed Oct 17 21:42:47 2018  removing 6529542 relations and 4529542 ideals in 2000000 cliques
  550. Wed Oct 17 21:42:50 2018  commencing in-memory singleton removal
  551. Wed Oct 17 21:42:59 2018  begin with 216969305 relations and 148287282 unique ideals
  552. Wed Oct 17 21:44:07 2018  reduce to 216796123 relations and 143582927 ideals in 7 passes
  553. Wed Oct 17 21:44:07 2018  max relations containing the same ideal: 30
  554. Wed Oct 17 21:45:04 2018  removing 6425224 relations and 4425224 ideals in 2000000 cliques
  555. Wed Oct 17 21:45:07 2018  commencing in-memory singleton removal
  556. Wed Oct 17 21:45:15 2018  begin with 210370899 relations and 143582927 unique ideals
  557. Wed Oct 17 21:46:12 2018  reduce to 210207228 relations and 138992367 ideals in 6 passes
  558. Wed Oct 17 21:46:12 2018  max relations containing the same ideal: 30
  559. Wed Oct 17 21:47:07 2018  removing 6255600 relations and 4255600 ideals in 2000000 cliques
  560. Wed Oct 17 21:47:10 2018  commencing in-memory singleton removal
  561. Wed Oct 17 21:47:18 2018  begin with 203951628 relations and 138992367 unique ideals
  562. Wed Oct 17 21:48:12 2018  reduce to 203788323 relations and 134571797 ideals in 6 passes
  563. Wed Oct 17 21:48:12 2018  max relations containing the same ideal: 30
  564. Wed Oct 17 21:49:06 2018  removing 6205707 relations and 4205707 ideals in 2000000 cliques
  565. Wed Oct 17 21:49:09 2018  commencing in-memory singleton removal
  566. Wed Oct 17 21:49:16 2018  begin with 197582616 relations and 134571797 unique ideals
  567. Wed Oct 17 21:50:09 2018  reduce to 197426999 relations and 130208858 ideals in 6 passes
  568. Wed Oct 17 21:50:09 2018  max relations containing the same ideal: 30
  569. Wed Oct 17 21:51:01 2018  removing 6077384 relations and 4077384 ideals in 2000000 cliques
  570. Wed Oct 17 21:51:03 2018  commencing in-memory singleton removal
  571. Wed Oct 17 21:51:10 2018  begin with 191349615 relations and 130208858 unique ideals
  572. Wed Oct 17 21:52:09 2018  reduce to 191190043 relations and 125970174 ideals in 7 passes
  573. Wed Oct 17 21:52:09 2018  max relations containing the same ideal: 30
  574. Wed Oct 17 21:53:00 2018  removing 6005740 relations and 4005740 ideals in 2000000 cliques
  575. Wed Oct 17 21:53:02 2018  commencing in-memory singleton removal
  576. Wed Oct 17 21:53:09 2018  begin with 185184303 relations and 125970174 unique ideals
  577. Wed Oct 17 21:53:57 2018  reduce to 185027203 relations and 121805596 ideals in 6 passes
  578. Wed Oct 17 21:53:57 2018  max relations containing the same ideal: 30
  579. Wed Oct 17 21:54:46 2018  removing 5943644 relations and 3943644 ideals in 2000000 cliques
  580. Wed Oct 17 21:54:49 2018  commencing in-memory singleton removal
  581. Wed Oct 17 21:54:55 2018  begin with 179083559 relations and 121805596 unique ideals
  582. Wed Oct 17 21:55:42 2018  reduce to 178923258 relations and 117699687 ideals in 6 passes
  583. Wed Oct 17 21:55:42 2018  max relations containing the same ideal: 30
  584. Wed Oct 17 21:56:29 2018  removing 5938150 relations and 3938150 ideals in 2000000 cliques
  585. Wed Oct 17 21:56:31 2018  commencing in-memory singleton removal
  586. Wed Oct 17 21:56:38 2018  begin with 172985108 relations and 117699687 unique ideals
  587. Wed Oct 17 21:57:22 2018  reduce to 172828377 relations and 113602819 ideals in 6 passes
  588. Wed Oct 17 21:57:22 2018  max relations containing the same ideal: 30
  589. Wed Oct 17 21:58:08 2018  removing 5858892 relations and 3858892 ideals in 2000000 cliques
  590. Wed Oct 17 21:58:10 2018  commencing in-memory singleton removal
  591. Wed Oct 17 21:58:16 2018  begin with 166969485 relations and 113602819 unique ideals
  592. Wed Oct 17 21:58:59 2018  reduce to 166812947 relations and 109585289 ideals in 6 passes
  593. Wed Oct 17 21:58:59 2018  max relations containing the same ideal: 30
  594. Wed Oct 17 21:59:42 2018  removing 5851224 relations and 3851224 ideals in 2000000 cliques
  595. Wed Oct 17 21:59:45 2018  commencing in-memory singleton removal
  596. Wed Oct 17 21:59:51 2018  begin with 160961723 relations and 109585289 unique ideals
  597. Wed Oct 17 22:00:31 2018  reduce to 160805375 relations and 105575634 ideals in 6 passes
  598. Wed Oct 17 22:00:31 2018  max relations containing the same ideal: 30
  599. Wed Oct 17 22:01:13 2018  removing 5722982 relations and 3722982 ideals in 2000000 cliques
  600. Wed Oct 17 22:01:16 2018  commencing in-memory singleton removal
  601. Wed Oct 17 22:01:21 2018  begin with 155082393 relations and 105575634 unique ideals
  602. Wed Oct 17 22:02:06 2018  reduce to 154903371 relations and 101671047 ideals in 7 passes
  603. Wed Oct 17 22:02:06 2018  max relations containing the same ideal: 29
  604. Wed Oct 17 22:02:47 2018  removing 5730273 relations and 3730273 ideals in 2000000 cliques
  605. Wed Oct 17 22:02:49 2018  commencing in-memory singleton removal
  606. Wed Oct 17 22:02:54 2018  begin with 149173098 relations and 101671047 unique ideals
  607. Wed Oct 17 22:03:37 2018  reduce to 149000543 relations and 97765561 ideals in 7 passes
  608. Wed Oct 17 22:03:37 2018  max relations containing the same ideal: 29
  609. Wed Oct 17 22:04:17 2018  removing 5770836 relations and 3770836 ideals in 2000000 cliques
  610. Wed Oct 17 22:04:19 2018  commencing in-memory singleton removal
  611. Wed Oct 17 22:04:24 2018  begin with 143229707 relations and 97765561 unique ideals
  612. Wed Oct 17 22:05:11 2018  reduce to 143059471 relations and 93821871 ideals in 8 passes
  613. Wed Oct 17 22:05:11 2018  max relations containing the same ideal: 29
  614. Wed Oct 17 22:05:48 2018  removing 5709745 relations and 3709745 ideals in 2000000 cliques
  615. Wed Oct 17 22:05:50 2018  commencing in-memory singleton removal
  616. Wed Oct 17 22:05:55 2018  begin with 137349726 relations and 93821871 unique ideals
  617. Wed Oct 17 22:06:39 2018  reduce to 137178683 relations and 89938363 ideals in 8 passes
  618. Wed Oct 17 22:06:39 2018  max relations containing the same ideal: 28
  619. Wed Oct 17 22:07:15 2018  removing 5717996 relations and 3717996 ideals in 2000000 cliques
  620. Wed Oct 17 22:07:17 2018  commencing in-memory singleton removal
  621. Wed Oct 17 22:07:21 2018  begin with 131460687 relations and 89938363 unique ideals
  622. Wed Oct 17 22:07:53 2018  reduce to 131281705 relations and 86038426 ideals in 6 passes
  623. Wed Oct 17 22:07:53 2018  max relations containing the same ideal: 27
  624. Wed Oct 17 22:08:27 2018  removing 5672278 relations and 3672278 ideals in 2000000 cliques
  625. Wed Oct 17 22:08:29 2018  commencing in-memory singleton removal
  626. Wed Oct 17 22:08:33 2018  begin with 125609427 relations and 86038426 unique ideals
  627. Wed Oct 17 22:09:03 2018  reduce to 125421063 relations and 82174633 ideals in 6 passes
  628. Wed Oct 17 22:09:03 2018  max relations containing the same ideal: 27
  629. Wed Oct 17 22:09:35 2018  removing 5599433 relations and 3599433 ideals in 2000000 cliques
  630. Wed Oct 17 22:09:37 2018  commencing in-memory singleton removal
  631. Wed Oct 17 22:09:41 2018  begin with 119821630 relations and 82174633 unique ideals
  632. Wed Oct 17 22:10:14 2018  reduce to 119608021 relations and 78357752 ideals in 7 passes
  633. Wed Oct 17 22:10:14 2018  max relations containing the same ideal: 27
  634. Wed Oct 17 22:10:45 2018  removing 5672484 relations and 3672484 ideals in 2000000 cliques
  635. Wed Oct 17 22:10:46 2018  commencing in-memory singleton removal
  636. Wed Oct 17 22:10:50 2018  begin with 113935537 relations and 78357752 unique ideals
  637. Wed Oct 17 22:11:21 2018  reduce to 113733933 relations and 74479889 ideals in 7 passes
  638. Wed Oct 17 22:11:21 2018  max relations containing the same ideal: 26
  639. Wed Oct 17 22:11:50 2018  removing 5693147 relations and 3693147 ideals in 2000000 cliques
  640. Wed Oct 17 22:11:52 2018  commencing in-memory singleton removal
  641. Wed Oct 17 22:11:55 2018  begin with 108040786 relations and 74479889 unique ideals
  642. Wed Oct 17 22:12:24 2018  reduce to 107834125 relations and 70576080 ideals in 7 passes
  643. Wed Oct 17 22:12:24 2018  max relations containing the same ideal: 26
  644. Wed Oct 17 22:12:52 2018  removing 5667331 relations and 3667331 ideals in 2000000 cliques
  645. Wed Oct 17 22:12:54 2018  commencing in-memory singleton removal
  646. Wed Oct 17 22:12:57 2018  begin with 102166794 relations and 70576080 unique ideals
  647. Wed Oct 17 22:13:24 2018  reduce to 101944929 relations and 66682502 ideals in 7 passes
  648. Wed Oct 17 22:13:24 2018  max relations containing the same ideal: 25
  649. Wed Oct 17 22:13:50 2018  removing 5636709 relations and 3636709 ideals in 2000000 cliques
  650. Wed Oct 17 22:13:52 2018  commencing in-memory singleton removal
  651. Wed Oct 17 22:13:55 2018  begin with 96308220 relations and 66682502 unique ideals
  652. Wed Oct 17 22:14:20 2018  reduce to 96062369 relations and 62794780 ideals in 7 passes
  653. Wed Oct 17 22:14:20 2018  max relations containing the same ideal: 25
  654. Wed Oct 17 22:14:44 2018  removing 5708193 relations and 3708193 ideals in 2000000 cliques
  655. Wed Oct 17 22:14:46 2018  commencing in-memory singleton removal
  656. Wed Oct 17 22:14:49 2018  begin with 90354176 relations and 62794780 unique ideals
  657. Wed Oct 17 22:15:15 2018  reduce to 90113641 relations and 58840698 ideals in 8 passes
  658. Wed Oct 17 22:15:15 2018  max relations containing the same ideal: 23
  659. Wed Oct 17 22:15:38 2018  removing 5609027 relations and 3609027 ideals in 2000000 cliques
  660. Wed Oct 17 22:15:40 2018  commencing in-memory singleton removal
  661. Wed Oct 17 22:15:42 2018  begin with 84504614 relations and 58840698 unique ideals
  662. Wed Oct 17 22:16:04 2018  reduce to 84215670 relations and 54935791 ideals in 7 passes
  663. Wed Oct 17 22:16:04 2018  max relations containing the same ideal: 23
  664. Wed Oct 17 22:16:25 2018  removing 5733336 relations and 3733336 ideals in 2000000 cliques
  665. Wed Oct 17 22:16:27 2018  commencing in-memory singleton removal
  666. Wed Oct 17 22:16:29 2018  begin with 78482334 relations and 54935791 unique ideals
  667. Wed Oct 17 22:16:49 2018  reduce to 78204334 relations and 50917765 ideals in 7 passes
  668. Wed Oct 17 22:16:49 2018  max relations containing the same ideal: 23
  669. Wed Oct 17 22:17:09 2018  removing 5734983 relations and 3734983 ideals in 2000000 cliques
  670. Wed Oct 17 22:17:10 2018  commencing in-memory singleton removal
  671. Wed Oct 17 22:17:12 2018  begin with 72469351 relations and 50917765 unique ideals
  672. Wed Oct 17 22:17:30 2018  reduce to 72144893 relations and 46849950 ideals in 7 passes
  673. Wed Oct 17 22:17:30 2018  max relations containing the same ideal: 22
  674. Wed Oct 17 22:17:48 2018  removing 5698963 relations and 3698963 ideals in 2000000 cliques
  675. Wed Oct 17 22:17:50 2018  commencing in-memory singleton removal
  676. Wed Oct 17 22:17:51 2018  begin with 66445930 relations and 46849950 unique ideals
  677. Wed Oct 17 22:18:07 2018  reduce to 66093552 relations and 42788641 ideals in 7 passes
  678. Wed Oct 17 22:18:07 2018  max relations containing the same ideal: 22
  679. Wed Oct 17 22:18:24 2018  removing 5815033 relations and 3815033 ideals in 2000000 cliques
  680. Wed Oct 17 22:18:25 2018  commencing in-memory singleton removal
  681. Wed Oct 17 22:18:27 2018  begin with 60278519 relations and 42788641 unique ideals
  682. Wed Oct 17 22:18:43 2018  reduce to 59885350 relations and 38568417 ideals in 8 passes
  683. Wed Oct 17 22:18:43 2018  max relations containing the same ideal: 20
  684. Wed Oct 17 22:18:58 2018  removing 5818452 relations and 3818452 ideals in 2000000 cliques
  685. Wed Oct 17 22:18:59 2018  commencing in-memory singleton removal
  686. Wed Oct 17 22:19:00 2018  begin with 54066898 relations and 38568417 unique ideals
  687. Wed Oct 17 22:19:14 2018  reduce to 53656299 relations and 34325970 ideals in 8 passes
  688. Wed Oct 17 22:19:14 2018  max relations containing the same ideal: 19
  689. Wed Oct 17 22:19:27 2018  removing 5930679 relations and 3930679 ideals in 2000000 cliques
  690. Wed Oct 17 22:19:29 2018  commencing in-memory singleton removal
  691. Wed Oct 17 22:19:30 2018  begin with 47725620 relations and 34325970 unique ideals
  692. Wed Oct 17 22:19:42 2018  reduce to 47296284 relations and 29951777 ideals in 8 passes
  693. Wed Oct 17 22:19:42 2018  max relations containing the same ideal: 18
  694. Wed Oct 17 22:19:53 2018  removing 2210070 relations and 1468371 ideals in 741699 cliques
  695. Wed Oct 17 22:19:54 2018  commencing in-memory singleton removal
  696. Wed Oct 17 22:19:55 2018  begin with 45086214 relations and 29951777 unique ideals
  697. Wed Oct 17 22:20:06 2018  reduce to 44949415 relations and 28344014 ideals in 8 passes
  698. Wed Oct 17 22:20:06 2018  max relations containing the same ideal: 18
  699. Wed Oct 17 22:20:18 2018  relations with 0 large ideals: 3634182
  700. Wed Oct 17 22:20:18 2018  relations with 1 large ideals: 15166505
  701. Wed Oct 17 22:20:18 2018  relations with 2 large ideals: 18048597
  702. Wed Oct 17 22:20:18 2018  relations with 3 large ideals: 7013958
  703. Wed Oct 17 22:20:18 2018  relations with 4 large ideals: 1002374
  704. Wed Oct 17 22:20:18 2018  relations with 5 large ideals: 79147
  705. Wed Oct 17 22:20:18 2018  relations with 6 large ideals: 4478
  706. Wed Oct 17 22:20:18 2018  relations with 7+ large ideals: 174
  707. Wed Oct 17 22:20:18 2018  commencing 2-way merge
  708. Wed Oct 17 22:20:32 2018  reduce to 26770960 relation sets and 10165558 unique ideals
  709. Wed Oct 17 22:20:32 2018  commencing full merge
  710. Wed Oct 17 22:21:29 2018  memory use: 1070.8 MB
  711. Wed Oct 17 22:21:31 2018  found 16589967 cycles, need 14312965
  712. Wed Oct 17 22:21:33 2018  weight of 14312965 cycles is about 850611218 (59.43/cycle)
  713. Wed Oct 17 22:21:33 2018  distribution of cycle lengths:
  714. Wed Oct 17 22:21:33 2018  1 relations: 3634182
  715. Wed Oct 17 22:21:33 2018  2 relations: 1886986
  716. Wed Oct 17 22:21:33 2018  3 relations: 1515476
  717. Wed Oct 17 22:21:33 2018  4 relations: 1377118
  718. Wed Oct 17 22:21:33 2018  5 relations: 1286789
  719. Wed Oct 17 22:21:33 2018  6 relations: 1163179
  720. Wed Oct 17 22:21:33 2018  7 relations: 1035227
  721. Wed Oct 17 22:21:33 2018  8 relations: 879393
  722. Wed Oct 17 22:21:33 2018  9 relations: 720534
  723. Wed Oct 17 22:21:33 2018  10+ relations: 814081
  724. Wed Oct 17 22:21:33 2018  heaviest cycle: 12 relations
  725. Wed Oct 17 22:21:33 2018  matrix not dense enough, retrying
  726. Wed Oct 17 22:21:38 2018  reading large ideals from disk
  727. Wed Oct 17 22:25:55 2018  keeping 181668805 ideals with weight <= 35, target excess is 12917616
  728. Wed Oct 17 22:30:39 2018  memory use: 7122.5 MB
  729. Wed Oct 17 22:30:39 2018  commencing in-memory singleton removal
  730. Wed Oct 17 22:30:50 2018  begin with 265473830 relations and 181668805 unique ideals
  731. Wed Oct 17 22:32:19 2018  reduce to 265472186 relations and 181667161 ideals in 7 passes
  732. Wed Oct 17 22:32:19 2018  max relations containing the same ideal: 35
  733. Wed Oct 17 22:33:32 2018  removing 11164420 relations and 9164420 ideals in 2000000 cliques
  734. Wed Oct 17 22:33:36 2018  commencing in-memory singleton removal
  735. Wed Oct 17 22:33:47 2018  begin with 254307766 relations and 181667161 unique ideals
  736. Wed Oct 17 22:35:13 2018  reduce to 253933057 relations and 172123994 ideals in 7 passes
  737. Wed Oct 17 22:35:13 2018  max relations containing the same ideal: 35
  738. Wed Oct 17 22:36:23 2018  removing 8366067 relations and 6366067 ideals in 2000000 cliques
  739. Wed Oct 17 22:36:27 2018  commencing in-memory singleton removal
  740. Wed Oct 17 22:36:37 2018  begin with 245566990 relations and 172123994 unique ideals
  741. Wed Oct 17 22:37:59 2018  reduce to 245318956 relations and 165507684 ideals in 7 passes
  742. Wed Oct 17 22:37:59 2018  max relations containing the same ideal: 35
  743. Wed Oct 17 22:39:07 2018  removing 7523653 relations and 5523653 ideals in 2000000 cliques
  744. Wed Oct 17 22:39:10 2018  commencing in-memory singleton removal
  745. Wed Oct 17 22:39:20 2018  begin with 237795303 relations and 165507684 unique ideals
  746. Wed Oct 17 22:40:40 2018  reduce to 237582986 relations and 159769860 ideals in 7 passes
  747. Wed Oct 17 22:40:40 2018  max relations containing the same ideal: 35
  748. Wed Oct 17 22:41:45 2018  removing 7083159 relations and 5083159 ideals in 2000000 cliques
  749. Wed Oct 17 22:41:48 2018  commencing in-memory singleton removal
  750. Wed Oct 17 22:41:58 2018  begin with 230499827 relations and 159769860 unique ideals
  751. Wed Oct 17 22:43:03 2018  reduce to 230308909 relations and 154494124 ideals in 6 passes
  752. Wed Oct 17 22:43:03 2018  max relations containing the same ideal: 35
  753. Wed Oct 17 22:44:07 2018  removing 6793966 relations and 4793966 ideals in 2000000 cliques
  754. Wed Oct 17 22:44:10 2018  commencing in-memory singleton removal
  755. Wed Oct 17 22:44:19 2018  begin with 223514943 relations and 154494124 unique ideals
  756. Wed Oct 17 22:45:33 2018  reduce to 223335497 relations and 149519199 ideals in 7 passes
  757. Wed Oct 17 22:45:33 2018  max relations containing the same ideal: 35
  758. Wed Oct 17 22:46:34 2018  removing 6558302 relations and 4558302 ideals in 2000000 cliques
  759. Wed Oct 17 22:46:37 2018  commencing in-memory singleton removal
  760. Wed Oct 17 22:46:46 2018  begin with 216777195 relations and 149519199 unique ideals
  761. Wed Oct 17 22:47:57 2018  reduce to 216604374 relations and 144786526 ideals in 7 passes
  762. Wed Oct 17 22:47:57 2018  max relations containing the same ideal: 35
  763. Wed Oct 17 22:48:57 2018  removing 6442979 relations and 4442979 ideals in 2000000 cliques
  764. Wed Oct 17 22:49:00 2018  commencing in-memory singleton removal
  765. Wed Oct 17 22:49:08 2018  begin with 210161395 relations and 144786526 unique ideals
  766. Wed Oct 17 22:50:07 2018  reduce to 209999169 relations and 140179779 ideals in 6 passes
  767. Wed Oct 17 22:50:07 2018  max relations containing the same ideal: 35
  768. Wed Oct 17 22:51:05 2018  removing 6298904 relations and 4298904 ideals in 2000000 cliques
  769. Wed Oct 17 22:51:08 2018  commencing in-memory singleton removal
  770. Wed Oct 17 22:51:16 2018  begin with 203700265 relations and 140179779 unique ideals
  771. Wed Oct 17 22:52:13 2018  reduce to 203541106 relations and 135720191 ideals in 6 passes
  772. Wed Oct 17 22:52:13 2018  max relations containing the same ideal: 35
  773. Wed Oct 17 22:53:09 2018  removing 6176630 relations and 4176630 ideals in 2000000 cliques
  774. Wed Oct 17 22:53:12 2018  commencing in-memory singleton removal
  775. Wed Oct 17 22:53:19 2018  begin with 197364476 relations and 135720191 unique ideals
  776. Wed Oct 17 22:54:14 2018  reduce to 197206335 relations and 131383770 ideals in 6 passes
  777. Wed Oct 17 22:54:14 2018  max relations containing the same ideal: 35
  778. Wed Oct 17 22:55:08 2018  removing 6114045 relations and 4114045 ideals in 2000000 cliques
  779. Wed Oct 17 22:55:11 2018  commencing in-memory singleton removal
  780. Wed Oct 17 22:55:19 2018  begin with 191092290 relations and 131383770 unique ideals
  781. Wed Oct 17 22:56:11 2018  reduce to 190936570 relations and 127112304 ideals in 6 passes
  782. Wed Oct 17 22:56:11 2018  max relations containing the same ideal: 35
  783. Wed Oct 17 22:57:03 2018  removing 6029252 relations and 4029252 ideals in 2000000 cliques
  784. Wed Oct 17 22:57:06 2018  commencing in-memory singleton removal
  785. Wed Oct 17 22:57:13 2018  begin with 184907318 relations and 127112304 unique ideals
  786. Wed Oct 17 22:58:04 2018  reduce to 184750163 relations and 122924125 ideals in 6 passes
  787. Wed Oct 17 22:58:04 2018  max relations containing the same ideal: 35
  788. Wed Oct 17 22:58:54 2018  removing 5960534 relations and 3960534 ideals in 2000000 cliques
  789. Wed Oct 17 22:58:57 2018  commencing in-memory singleton removal
  790. Wed Oct 17 22:59:04 2018  begin with 178789629 relations and 122924125 unique ideals
  791. Wed Oct 17 22:59:52 2018  reduce to 178633509 relations and 118805619 ideals in 6 passes
  792. Wed Oct 17 22:59:52 2018  max relations containing the same ideal: 34
  793. Wed Oct 17 23:00:41 2018  removing 5914574 relations and 3914574 ideals in 2000000 cliques
  794. Wed Oct 17 23:00:44 2018  commencing in-memory singleton removal
  795. Wed Oct 17 23:00:50 2018  begin with 172718935 relations and 118805619 unique ideals
  796. Wed Oct 17 23:01:37 2018  reduce to 172561395 relations and 114731595 ideals in 6 passes
  797. Wed Oct 17 23:01:37 2018  max relations containing the same ideal: 34
  798. Wed Oct 17 23:02:24 2018  removing 5881502 relations and 3881502 ideals in 2000000 cliques
  799. Wed Oct 17 23:02:26 2018  commencing in-memory singleton removal
  800. Wed Oct 17 23:02:33 2018  begin with 166679893 relations and 114731595 unique ideals
  801. Wed Oct 17 23:03:25 2018  reduce to 166519059 relations and 110687141 ideals in 7 passes
  802. Wed Oct 17 23:03:25 2018  max relations containing the same ideal: 34
  803. Wed Oct 17 23:04:10 2018  removing 5827831 relations and 3827831 ideals in 2000000 cliques
  804. Wed Oct 17 23:04:13 2018  commencing in-memory singleton removal
  805. Wed Oct 17 23:04:19 2018  begin with 160691228 relations and 110687141 unique ideals
  806. Wed Oct 17 23:05:09 2018  reduce to 160531460 relations and 106697399 ideals in 7 passes
  807. Wed Oct 17 23:05:09 2018  max relations containing the same ideal: 34
  808. Wed Oct 17 23:05:52 2018  removing 5820810 relations and 3820810 ideals in 2000000 cliques
  809. Wed Oct 17 23:05:55 2018  commencing in-memory singleton removal
  810. Wed Oct 17 23:06:00 2018  begin with 154710650 relations and 106697399 unique ideals
  811. Wed Oct 17 23:06:41 2018  reduce to 154551651 relations and 102715336 ideals in 6 passes
  812. Wed Oct 17 23:06:41 2018  max relations containing the same ideal: 34
  813. Wed Oct 17 23:07:23 2018  removing 5741390 relations and 3741390 ideals in 2000000 cliques
  814. Wed Oct 17 23:07:25 2018  commencing in-memory singleton removal
  815. Wed Oct 17 23:07:31 2018  begin with 148810261 relations and 102715336 unique ideals
  816. Wed Oct 17 23:08:16 2018  reduce to 148636802 relations and 98797888 ideals in 7 passes
  817. Wed Oct 17 23:08:16 2018  max relations containing the same ideal: 33
  818. Wed Oct 17 23:08:56 2018  removing 5738730 relations and 3738730 ideals in 2000000 cliques
  819. Wed Oct 17 23:08:59 2018  commencing in-memory singleton removal
  820. Wed Oct 17 23:09:04 2018  begin with 142898072 relations and 98797888 unique ideals
  821. Wed Oct 17 23:09:47 2018  reduce to 142726658 relations and 94885201 ideals in 7 passes
  822. Wed Oct 17 23:09:47 2018  max relations containing the same ideal: 32
  823. Wed Oct 17 23:10:26 2018  removing 5720292 relations and 3720292 ideals in 2000000 cliques
  824. Wed Oct 17 23:10:28 2018  commencing in-memory singleton removal
  825. Wed Oct 17 23:10:33 2018  begin with 137006366 relations and 94885201 unique ideals
  826. Wed Oct 17 23:11:14 2018  reduce to 136829278 relations and 90985019 ideals in 7 passes
  827. Wed Oct 17 23:11:14 2018  max relations containing the same ideal: 32
  828. Wed Oct 17 23:11:51 2018  removing 5708223 relations and 3708223 ideals in 2000000 cliques
  829. Wed Oct 17 23:11:53 2018  commencing in-memory singleton removal
  830. Wed Oct 17 23:11:58 2018  begin with 131121055 relations and 90985019 unique ideals
  831. Wed Oct 17 23:12:36 2018  reduce to 130939828 relations and 87092544 ideals in 7 passes
  832. Wed Oct 17 23:12:36 2018  max relations containing the same ideal: 32
  833. Wed Oct 17 23:13:12 2018  removing 5708027 relations and 3708027 ideals in 2000000 cliques
  834. Wed Oct 17 23:13:14 2018  commencing in-memory singleton removal
  835. Wed Oct 17 23:13:18 2018  begin with 125231801 relations and 87092544 unique ideals
  836. Wed Oct 17 23:13:55 2018  reduce to 125050514 relations and 83200119 ideals in 7 passes
  837. Wed Oct 17 23:13:55 2018  max relations containing the same ideal: 31
  838. Wed Oct 17 23:14:29 2018  removing 5688040 relations and 3688040 ideals in 2000000 cliques
  839. Wed Oct 17 23:14:31 2018  commencing in-memory singleton removal
  840. Wed Oct 17 23:14:35 2018  begin with 119362474 relations and 83200119 unique ideals
  841. Wed Oct 17 23:15:09 2018  reduce to 119171945 relations and 79318217 ideals in 7 passes
  842. Wed Oct 17 23:15:09 2018  max relations containing the same ideal: 30
  843. Wed Oct 17 23:15:41 2018  removing 5692972 relations and 3692972 ideals in 2000000 cliques
  844. Wed Oct 17 23:15:43 2018  commencing in-memory singleton removal
  845. Wed Oct 17 23:15:47 2018  begin with 113478973 relations and 79318217 unique ideals
  846. Wed Oct 17 23:16:15 2018  reduce to 113284009 relations and 75426752 ideals in 6 passes
  847. Wed Oct 17 23:16:15 2018  max relations containing the same ideal: 29
  848. Wed Oct 17 23:16:46 2018  removing 5595853 relations and 3595853 ideals in 2000000 cliques
  849. Wed Oct 17 23:16:48 2018  commencing in-memory singleton removal
  850. Wed Oct 17 23:16:51 2018  begin with 107688156 relations and 75426752 unique ideals
  851. Wed Oct 17 23:17:17 2018  reduce to 107458620 relations and 71596852 ideals in 6 passes
  852. Wed Oct 17 23:17:17 2018  max relations containing the same ideal: 29
  853. Wed Oct 17 23:17:46 2018  removing 5689347 relations and 3689347 ideals in 2000000 cliques
  854. Wed Oct 17 23:17:48 2018  commencing in-memory singleton removal
  855. Wed Oct 17 23:17:52 2018  begin with 101769273 relations and 71596852 unique ideals
  856. Wed Oct 17 23:18:20 2018  reduce to 101546207 relations and 67679813 ideals in 7 passes
  857. Wed Oct 17 23:18:20 2018  max relations containing the same ideal: 28
  858. Wed Oct 17 23:18:48 2018  removing 5671470 relations and 3671470 ideals in 2000000 cliques
  859. Wed Oct 17 23:18:49 2018  commencing in-memory singleton removal
  860. Wed Oct 17 23:18:52 2018  begin with 95874737 relations and 67679813 unique ideals
  861. Wed Oct 17 23:19:19 2018  reduce to 95646064 relations and 63774882 ideals in 7 passes
  862. Wed Oct 17 23:19:19 2018  max relations containing the same ideal: 27
  863. Wed Oct 17 23:19:44 2018  removing 5727776 relations and 3727776 ideals in 2000000 cliques
  864. Wed Oct 17 23:19:46 2018  commencing in-memory singleton removal
  865. Wed Oct 17 23:19:49 2018  begin with 89918288 relations and 63774882 unique ideals
  866. Wed Oct 17 23:20:10 2018  reduce to 89676048 relations and 59799631 ideals in 6 passes
  867. Wed Oct 17 23:20:10 2018  max relations containing the same ideal: 27
  868. Wed Oct 17 23:20:34 2018  removing 5696747 relations and 3696747 ideals in 2000000 cliques
  869. Wed Oct 17 23:20:36 2018  commencing in-memory singleton removal
  870. Wed Oct 17 23:20:38 2018  begin with 83979301 relations and 59799631 unique ideals
  871. Wed Oct 17 23:21:01 2018  reduce to 83716686 relations and 55834184 ideals in 7 passes
  872. Wed Oct 17 23:21:01 2018  max relations containing the same ideal: 26
  873. Wed Oct 17 23:21:23 2018  removing 5687685 relations and 3687685 ideals in 2000000 cliques
  874. Wed Oct 17 23:21:25 2018  commencing in-memory singleton removal
  875. Wed Oct 17 23:21:27 2018  begin with 78029001 relations and 55834184 unique ideals
  876. Wed Oct 17 23:21:48 2018  reduce to 77735258 relations and 51845532 ideals in 7 passes
  877. Wed Oct 17 23:21:48 2018  max relations containing the same ideal: 26
  878. Wed Oct 17 23:22:08 2018  removing 5765922 relations and 3765922 ideals in 2000000 cliques
  879. Wed Oct 17 23:22:10 2018  commencing in-memory singleton removal
  880. Wed Oct 17 23:22:12 2018  begin with 71969336 relations and 51845532 unique ideals
  881. Wed Oct 17 23:22:31 2018  reduce to 71669735 relations and 47772243 ideals in 7 passes
  882. Wed Oct 17 23:22:31 2018  max relations containing the same ideal: 25
  883. Wed Oct 17 23:22:50 2018  removing 5715721 relations and 3715721 ideals in 2000000 cliques
  884. Wed Oct 17 23:22:51 2018  commencing in-memory singleton removal
  885. Wed Oct 17 23:22:53 2018  begin with 65954014 relations and 47772243 unique ideals
  886. Wed Oct 17 23:23:10 2018  reduce to 65598937 relations and 43691245 ideals in 7 passes
  887. Wed Oct 17 23:23:10 2018  max relations containing the same ideal: 24
  888. Wed Oct 17 23:23:27 2018  removing 5828417 relations and 3828417 ideals in 2000000 cliques
  889. Wed Oct 17 23:23:29 2018  commencing in-memory singleton removal
  890. Wed Oct 17 23:23:30 2018  begin with 59770520 relations and 43691245 unique ideals
  891. Wed Oct 17 23:23:45 2018  reduce to 59402599 relations and 39484256 ideals in 7 passes
  892. Wed Oct 17 23:23:45 2018  max relations containing the same ideal: 23
  893. Wed Oct 17 23:24:01 2018  removing 5858365 relations and 3858365 ideals in 2000000 cliques
  894. Wed Oct 17 23:24:02 2018  commencing in-memory singleton removal
  895. Wed Oct 17 23:24:04 2018  begin with 53544234 relations and 39484256 unique ideals
  896. Wed Oct 17 23:24:18 2018  reduce to 53108750 relations and 35176026 ideals in 8 passes
  897. Wed Oct 17 23:24:18 2018  max relations containing the same ideal: 21
  898. Wed Oct 17 23:24:32 2018  removing 5873994 relations and 3873994 ideals in 2000000 cliques
  899. Wed Oct 17 23:24:34 2018  commencing in-memory singleton removal
  900. Wed Oct 17 23:24:35 2018  begin with 47234756 relations and 35176026 unique ideals
  901. Wed Oct 17 23:24:49 2018  reduce to 46736885 relations and 30785430 ideals in 9 passes
  902. Wed Oct 17 23:24:49 2018  max relations containing the same ideal: 21
  903. Wed Oct 17 23:25:01 2018  removing 2929544 relations and 1962524 ideals in 967020 cliques
  904. Wed Oct 17 23:25:01 2018  commencing in-memory singleton removal
  905. Wed Oct 17 23:25:03 2018  begin with 43807341 relations and 30785430 unique ideals
  906. Wed Oct 17 23:25:12 2018  reduce to 43595041 relations and 28605368 ideals in 7 passes
  907. Wed Oct 17 23:25:12 2018  max relations containing the same ideal: 21
  908. Wed Oct 17 23:25:25 2018  relations with 0 large ideals: 2773037
  909. Wed Oct 17 23:25:25 2018  relations with 1 large ideals: 12610115
  910. Wed Oct 17 23:25:25 2018  relations with 2 large ideals: 17372587
  911. Wed Oct 17 23:25:25 2018  relations with 3 large ideals: 8784420
  912. Wed Oct 17 23:25:25 2018  relations with 4 large ideals: 1837264
  913. Wed Oct 17 23:25:25 2018  relations with 5 large ideals: 200730
  914. Wed Oct 17 23:25:25 2018  relations with 6 large ideals: 15961
  915. Wed Oct 17 23:25:25 2018  relations with 7+ large ideals: 927
  916. Wed Oct 17 23:25:25 2018  commencing 2-way merge
  917. Wed Oct 17 23:25:39 2018  reduce to 26173396 relation sets and 11183722 unique ideals
  918. Wed Oct 17 23:25:39 2018  commencing full merge
  919. Wed Oct 17 23:27:04 2018  memory use: 1165.1 MB
  920. Wed Oct 17 23:27:07 2018  found 14783939 cycles, need 12917816
  921. Wed Oct 17 23:27:08 2018  weight of 12917816 cycles is about 1070781259 (82.89/cycle)
  922. Wed Oct 17 23:27:08 2018  distribution of cycle lengths:
  923. Wed Oct 17 23:27:08 2018  1 relations: 2773037
  924. Wed Oct 17 23:27:08 2018  2 relations: 1362215
  925. Wed Oct 17 23:27:08 2018  3 relations: 1050294
  926. Wed Oct 17 23:27:08 2018  4 relations: 926794
  927. Wed Oct 17 23:27:08 2018  5 relations: 876309
  928. Wed Oct 17 23:27:08 2018  6 relations: 827371
  929. Wed Oct 17 23:27:08 2018  7 relations: 788320
  930. Wed Oct 17 23:27:08 2018  8 relations: 735509
  931. Wed Oct 17 23:27:08 2018  9 relations: 683067
  932. Wed Oct 17 23:27:08 2018  10+ relations: 2894900
  933. Wed Oct 17 23:27:08 2018  heaviest cycle: 18 relations
  934. Wed Oct 17 23:27:08 2018  commencing cycle optimization
  935. Wed Oct 17 23:27:23 2018  start with 74819661 relations
  936. Wed Oct 17 23:29:19 2018  pruned 6882888 relations
  937. Wed Oct 17 23:29:19 2018  memory use: 2191.9 MB
  938. Wed Oct 17 23:29:19 2018  distribution of cycle lengths:
  939. Wed Oct 17 23:29:19 2018  1 relations: 2773037
  940. Wed Oct 17 23:29:19 2018  2 relations: 1423393
  941. Wed Oct 17 23:29:19 2018  3 relations: 1134393
  942. Wed Oct 17 23:29:19 2018  4 relations: 1026171
  943. Wed Oct 17 23:29:19 2018  5 relations: 1002272
  944. Wed Oct 17 23:29:19 2018  6 relations: 963761
  945. Wed Oct 17 23:29:19 2018  7 relations: 927226
  946. Wed Oct 17 23:29:19 2018  8 relations: 848089
  947. Wed Oct 17 23:29:19 2018  9 relations: 759079
  948. Wed Oct 17 23:29:19 2018  10+ relations: 2060395
  949. Wed Oct 17 23:29:19 2018  heaviest cycle: 18 relations
  950. Wed Oct 17 23:29:36 2018  RelProcTime: 27980
  951. Wed Oct 17 23:29:36 2018  
  952. Wed Oct 17 23:29:36 2018  commencing linear algebra
  953. Wed Oct 17 23:29:38 2018  read 12917816 cycles
  954. Wed Oct 17 23:29:55 2018  cycles contain 36396800 unique relations
  955. Wed Oct 17 23:43:29 2018  read 36396800 relations
  956. Wed Oct 17 23:44:21 2018  using 20 quadratic characters above 4294917296
  957. Wed Oct 17 23:46:57 2018  building initial matrix
  958. Wed Oct 17 23:52:29 2018  memory use: 4592.4 MB
  959. Wed Oct 17 23:52:42 2018  read 12917816 cycles
  960. Wed Oct 17 23:52:45 2018  matrix is 12913975 x 12917816 (4102.6 MB) with weight 1173254261 (90.82/col)
  961. Wed Oct 17 23:52:45 2018  sparse part has weight 933380195 (72.26/col)
  962. Wed Oct 17 23:55:56 2018  filtering completed in 3 passes
  963. Wed Oct 17 23:55:59 2018  matrix is 12837236 x 12837436 (4087.8 MB) with weight 1168866757 (91.05/col)
  964. Wed Oct 17 23:55:59 2018  sparse part has weight 930368069 (72.47/col)
  965. Wed Oct 17 23:57:18 2018  matrix starts at (0, 0)
  966. Wed Oct 17 23:57:21 2018  matrix is 12837236 x 12837436 (4087.8 MB) with weight 1168866757 (91.05/col)
  967. Wed Oct 17 23:57:21 2018  sparse part has weight 930368069 (72.47/col)
  968. Wed Oct 17 23:57:21 2018  saving the first 48 matrix rows for later
  969. Wed Oct 17 23:57:24 2018  matrix includes 64 packed rows
  970. Wed Oct 17 23:57:26 2018  matrix is 12837188 x 12837436 (3902.9 MB) with weight 956790412 (74.53/col)
  971. Wed Oct 17 23:57:26 2018  sparse part has weight 894735466 (69.70/col)
  972. Wed Oct 17 23:57:26 2018  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  973. Wed Oct 17 23:58:19 2018  commencing Lanczos iteration (8 threads)
  974. Wed Oct 17 23:58:19 2018  memory use: 3261.9 MB
  975. Wed Oct 17 23:59:41 2018  linear algebra at 0.0%, ETA 182h43m
  976. Thu Oct 18 00:00:07 2018  checkpointing every 80000 dimensions
  977. Thu Oct 25 16:12:50 2018  lanczos halted after 203001 iterations (dim = 12837177)
  978. Thu Oct 25 16:13:24 2018  recovered 30 nontrivial dependencies
  979. Thu Oct 25 16:13:33 2018  BLanczosTime: 665037
  980. Thu Oct 25 16:13:33 2018  
  981. Thu Oct 25 16:13:33 2018  commencing square root phase
  982. Thu Oct 25 16:13:33 2018  handling dependencies 1 to 64
  983. Thu Oct 25 16:13:33 2018  reading relations for dependency 1
  984. Thu Oct 25 16:13:36 2018  read 6421250 cycles
  985. Thu Oct 25 16:13:44 2018  cycles contain 18161902 unique relations
  986. Thu Oct 25 16:27:20 2018  read 18161902 relations
  987. Thu Oct 25 16:29:01 2018  multiplying 18161902 relations
  988. Thu Oct 25 16:39:12 2018  multiply complete, coefficients have about 461.32 million bits
  989. Thu Oct 25 16:39:20 2018  initial square root is modulo 189487873
  990. Thu Oct 25 16:52:39 2018  found factor: 2669620228858175077777298096392225064946109476759403011939160980774971939960941263874422839
  991. Thu Oct 25 16:52:39 2018  reading relations for dependency 2
  992. Thu Oct 25 16:52:42 2018  read 6417942 cycles
  993. Thu Oct 25 16:52:50 2018  cycles contain 18154548 unique relations
  994. Thu Oct 25 17:06:24 2018  read 18154548 relations
  995. Thu Oct 25 17:08:06 2018  multiplying 18154548 relations
  996. Thu Oct 25 17:18:17 2018  multiply complete, coefficients have about 461.13 million bits
  997. Thu Oct 25 17:18:22 2018  initial square root is modulo 187995529
  998. Thu Oct 25 17:31:42 2018  GCD is 1, no factor found
  999. Thu Oct 25 17:31:42 2018  reading relations for dependency 3
  1000. Thu Oct 25 17:31:53 2018  read 6419813 cycles
  1001. Thu Oct 25 17:32:01 2018  cycles contain 18153756 unique relations
  1002. Thu Oct 25 17:45:30 2018  read 18153756 relations
  1003. Thu Oct 25 17:47:13 2018  multiplying 18153756 relations
  1004. Thu Oct 25 17:57:24 2018  multiply complete, coefficients have about 461.12 million bits
  1005. Thu Oct 25 17:57:29 2018  initial square root is modulo 187947181
  1006. Thu Oct 25 18:10:49 2018  GCD is 1, no factor found
  1007. Thu Oct 25 18:10:49 2018  reading relations for dependency 4
  1008. Thu Oct 25 18:11:00 2018  read 6416606 cycles
  1009. Thu Oct 25 18:11:08 2018  cycles contain 18147754 unique relations
  1010. Thu Oct 25 18:24:41 2018  read 18147754 relations
  1011. Thu Oct 25 18:26:22 2018  multiplying 18147754 relations
  1012. Thu Oct 25 18:36:33 2018  multiply complete, coefficients have about 460.97 million bits
  1013. Thu Oct 25 18:36:38 2018  initial square root is modulo 186739547
  1014. Thu Oct 25 18:49:54 2018  sqrtTime: 9381
  1015. Thu Oct 25 18:49:54 2018  prp60 factor: 738958875125723878536895653467889039620210220496243613877737
  1016. Thu Oct 25 18:49:54 2018  prp91 factor: 2669620228858175077777298096392225064946109476759403011939160980774971939960941263874422839
  1017. Thu Oct 25 18:49:54 2018  prp93 factor: 656632774396319667885400087641482047975229638362770432039824805947696902457781532649786952027
  1018. Thu Oct 25 18:49:54 2018  elapsed time 195:06:39
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