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  1. Mon Sep 18 13:21:41 2017
  2. Mon Sep 18 13:21:41 2017
  3. Mon Sep 18 13:21:41 2017 Msieve v. 1.53 (SVN 993M)
  4. Mon Sep 18 13:21:41 2017 random seeds: 7ac983dd 3d6211fe
  5. Mon Sep 18 13:21:41 2017 MPI process 0 of 1
  6. Mon Sep 18 13:21:41 2017 factoring 33927504534476723516408816689812909770719932521618781773756995289471261780068216894657109048688644848466558715329703788016114249127096969960226894868006429336428695102577256482033601100297718050792231930859693133081358214479422873421598023360475055929769632226103912177557671593 (278 digits)
  7. Mon Sep 18 13:21:43 2017 no P-1/P+1/ECM available, skipping
  8. Mon Sep 18 13:21:45 2017 commencing number field sieve (278-digit input)
  9. Mon Sep 18 13:21:48 2017 R0: 2923003274661805836407369665432566039311865085952
  10. Mon Sep 18 13:21:49 2017 R1: -13098464280290651262885471684574127197265625000
  11. Mon Sep 18 13:21:50 2017 A0: 200
  12. Mon Sep 18 13:21:51 2017 A1: 0
  13. Mon Sep 18 13:21:53 2017 A2: 0
  14. Mon Sep 18 13:21:55 2017 A3: 0
  15. Mon Sep 18 13:21:55 2017 A4: 0
  16. Mon Sep 18 13:21:56 2017 A5: 0
  17. Mon Sep 18 13:21:58 2017 A6: 1
  18. Mon Sep 18 13:21:58 2017 skew 2.42, size 2.583e-14, alpha 0.527, combined = 7.116e-15 rroots = 0
  19. Mon Sep 18 13:21:58 2017
  20. Mon Sep 18 13:21:58 2017 commencing relation filtering
  21. Mon Sep 18 13:21:58 2017 setting target matrix density to 130.0
  22. Mon Sep 18 13:21:58 2017 estimated available RAM is 258443.6 MB
  23. Mon Sep 18 13:21:58 2017 commencing duplicate removal, pass 1
  24. Mon Sep 18 16:24:58 2017 skipped 9567 relations with b > 2^32
  25. Mon Sep 18 16:24:58 2017 skipped 935 relations with composite factors
  26. Mon Sep 18 16:24:58 2017 found 356228850 hash collisions in 1222091952 relations
  27. Mon Sep 18 16:25:14 2017 added 1218346 free relations
  28. Mon Sep 18 16:25:14 2017 commencing duplicate removal, pass 2
  29. Mon Sep 18 16:57:43 2017 found 308294332 duplicates and 915015966 unique relations
  30. Mon Sep 18 16:57:43 2017 memory use: 8780.0 MB
  31. Mon Sep 18 16:57:44 2017 reading ideals above 799997952
  32. Mon Sep 18 16:57:44 2017 commencing singleton removal, initial pass
  33. Mon Sep 18 18:47:24 2017 memory use: 11024.0 MB
  34. Mon Sep 18 18:47:25 2017 reading all ideals from disk
  35. Mon Sep 18 18:54:22 2017 memory use: 14661.9 MB
  36. Mon Sep 18 19:00:18 2017 commencing in-memory singleton removal
  37. Mon Sep 18 19:00:51 2017 begin with 915015966 relations and 616999548 unique ideals
  38. Mon Sep 18 19:07:32 2017 reduce to 720873602 relations and 410113009 ideals in 11 passes
  39. Mon Sep 18 19:07:33 2017 max relations containing the same ideal: 32
  40. Mon Sep 18 19:09:31 2017 reading ideals above 720000
  41. Mon Sep 18 19:09:31 2017 commencing singleton removal, initial pass
  42. Mon Sep 18 21:08:10 2017 memory use: 11024.0 MB
  43. Mon Sep 18 21:08:11 2017 reading all ideals from disk
  44. Mon Sep 18 21:22:15 2017 memory use: 31614.5 MB
  45. Mon Sep 18 21:26:53 2017 keeping 488496045 ideals with weight <= 200, target excess is 3902761
  46. Mon Sep 18 21:28:49 2017 commencing in-memory singleton removal
  47. Mon Sep 18 21:29:47 2017 begin with 720873602 relations and 488496045 unique ideals
  48. Mon Sep 18 21:36:54 2017 reduce to 720856875 relations and 488479318 ideals in 6 passes
  49. Mon Sep 18 21:36:54 2017 max relations containing the same ideal: 200
  50. Mon Sep 18 21:40:45 2017 removing 7699055 relations and 6067284 ideals in 2000000 cliques
  51. Mon Sep 18 21:40:57 2017 commencing in-memory singleton removal
  52. Mon Sep 18 21:41:56 2017 begin with 713157820 relations and 488479318 unique ideals
  53. Mon Sep 18 21:52:37 2017 reduce to 712510817 relations and 482132569 ideals in 9 passes
  54. Mon Sep 18 21:52:37 2017 max relations containing the same ideal: 200
  55. Mon Sep 18 21:56:28 2017 removing 6220231 relations and 4522824 ideals in 2000000 cliques
  56. Mon Sep 18 21:56:39 2017 commencing in-memory singleton removal
  57. Mon Sep 18 21:57:37 2017 begin with 706290586 relations and 482132569 unique ideals
  58. Mon Sep 18 22:06:54 2017 reduce to 705766191 relations and 477387486 ideals in 8 passes
  59. Mon Sep 18 22:06:54 2017 max relations containing the same ideal: 200
  60. Mon Sep 18 22:10:42 2017 removing 5831021 relations and 4120363 ideals in 2000000 cliques
  61. Mon Sep 18 22:10:54 2017 commencing in-memory singleton removal
  62. Mon Sep 18 22:11:51 2017 begin with 699935170 relations and 477387486 unique ideals
  63. Mon Sep 18 22:22:10 2017 reduce to 699436449 relations and 473057359 ideals in 9 passes
  64. Mon Sep 18 22:22:10 2017 max relations containing the same ideal: 200
  65. Mon Sep 18 22:25:57 2017 removing 5644185 relations and 3928475 ideals in 2000000 cliques
  66. Mon Sep 18 22:26:08 2017 commencing in-memory singleton removal
  67. Mon Sep 18 22:27:04 2017 begin with 693792264 relations and 473057359 unique ideals
  68. Mon Sep 18 22:39:33 2017 reduce to 693304198 relations and 468924742 ideals in 11 passes
  69. Mon Sep 18 22:39:33 2017 max relations containing the same ideal: 200
  70. Mon Sep 18 22:43:19 2017 removing 5543558 relations and 3825976 ideals in 2000000 cliques
  71. Mon Sep 18 22:43:30 2017 commencing in-memory singleton removal
  72. Mon Sep 18 22:44:26 2017 begin with 687760640 relations and 468924742 unique ideals
  73. Mon Sep 18 22:54:33 2017 reduce to 687276796 relations and 464896987 ideals in 9 passes
  74. Mon Sep 18 22:54:33 2017 max relations containing the same ideal: 200
  75. Mon Sep 18 22:58:19 2017 removing 5475050 relations and 3755990 ideals in 2000000 cliques
  76. Mon Sep 18 22:58:30 2017 commencing in-memory singleton removal
  77. Mon Sep 18 22:59:26 2017 begin with 681801746 relations and 464896987 unique ideals
  78. Mon Sep 18 23:08:23 2017 reduce to 681319249 relations and 460939093 ideals in 8 passes
  79. Mon Sep 18 23:08:23 2017 max relations containing the same ideal: 200
  80. Mon Sep 18 23:12:09 2017 removing 5435181 relations and 3714034 ideals in 2000000 cliques
  81. Mon Sep 18 23:12:20 2017 commencing in-memory singleton removal
  82. Mon Sep 18 23:13:14 2017 begin with 675884068 relations and 460939093 unique ideals
  83. Mon Sep 18 23:22:04 2017 reduce to 675403105 relations and 457022596 ideals in 8 passes
  84. Mon Sep 18 23:22:04 2017 max relations containing the same ideal: 199
  85. Mon Sep 18 23:25:49 2017 removing 5410959 relations and 3688588 ideals in 2000000 cliques
  86. Mon Sep 18 23:26:00 2017 commencing in-memory singleton removal
  87. Mon Sep 18 23:26:54 2017 begin with 669992146 relations and 457022596 unique ideals
  88. Mon Sep 18 23:35:38 2017 reduce to 669512377 relations and 453131449 ideals in 8 passes
  89. Mon Sep 18 23:35:38 2017 max relations containing the same ideal: 198
  90. Mon Sep 18 23:39:21 2017 removing 5399131 relations and 3674982 ideals in 2000000 cliques
  91. Mon Sep 18 23:39:32 2017 commencing in-memory singleton removal
  92. Mon Sep 18 23:40:26 2017 begin with 664113246 relations and 453131449 unique ideals
  93. Mon Sep 18 23:49:03 2017 reduce to 663635407 relations and 449254100 ideals in 8 passes
  94. Mon Sep 18 23:49:03 2017 max relations containing the same ideal: 197
  95. Mon Sep 18 23:52:46 2017 removing 5396557 relations and 3668105 ideals in 2000000 cliques
  96. Mon Sep 18 23:52:57 2017 commencing in-memory singleton removal
  97. Mon Sep 18 23:53:49 2017 begin with 658238850 relations and 449254100 unique ideals
  98. Tue Sep 19 00:03:25 2017 reduce to 657764520 relations and 445382819 ideals in 9 passes
  99. Tue Sep 19 00:03:25 2017 max relations containing the same ideal: 196
  100. Tue Sep 19 00:07:07 2017 removing 5399693 relations and 3668190 ideals in 2000000 cliques
  101. Tue Sep 19 00:07:18 2017 commencing in-memory singleton removal
  102. Tue Sep 19 00:08:10 2017 begin with 652364827 relations and 445382819 unique ideals
  103. Tue Sep 19 00:16:38 2017 reduce to 651894227 relations and 441512135 ideals in 8 passes
  104. Tue Sep 19 00:16:38 2017 max relations containing the same ideal: 195
  105. Tue Sep 19 00:20:19 2017 removing 5411423 relations and 3676683 ideals in 2000000 cliques
  106. Tue Sep 19 00:20:30 2017 commencing in-memory singleton removal
  107. Tue Sep 19 00:21:22 2017 begin with 646482804 relations and 441512135 unique ideals
  108. Tue Sep 19 00:30:49 2017 reduce to 646014002 relations and 437631525 ideals in 9 passes
  109. Tue Sep 19 00:30:49 2017 max relations containing the same ideal: 195
  110. Tue Sep 19 00:34:29 2017 removing 5428883 relations and 3690063 ideals in 2000000 cliques
  111. Tue Sep 19 00:34:40 2017 commencing in-memory singleton removal
  112. Tue Sep 19 00:35:31 2017 begin with 640585119 relations and 437631525 unique ideals
  113. Tue Sep 19 00:44:50 2017 reduce to 640121242 relations and 433738332 ideals in 9 passes
  114. Tue Sep 19 00:44:50 2017 max relations containing the same ideal: 194
  115. Tue Sep 19 00:48:30 2017 removing 5451470 relations and 3707961 ideals in 2000000 cliques
  116. Tue Sep 19 00:48:40 2017 commencing in-memory singleton removal
  117. Tue Sep 19 00:49:31 2017 begin with 634669772 relations and 433738332 unique ideals
  118. Tue Sep 19 00:59:44 2017 reduce to 634211177 relations and 429827837 ideals in 10 passes
  119. Tue Sep 19 00:59:44 2017 max relations containing the same ideal: 193
  120. Tue Sep 19 01:03:22 2017 removing 5480359 relations and 3730501 ideals in 2000000 cliques
  121. Tue Sep 19 01:03:33 2017 commencing in-memory singleton removal
  122. Tue Sep 19 01:04:23 2017 begin with 628730818 relations and 429827837 unique ideals
  123. Tue Sep 19 01:14:28 2017 reduce to 628280887 relations and 425897128 ideals in 10 passes
  124. Tue Sep 19 01:14:28 2017 max relations containing the same ideal: 193
  125. Tue Sep 19 01:18:06 2017 removing 5515014 relations and 3757317 ideals in 2000000 cliques
  126. Tue Sep 19 01:18:17 2017 commencing in-memory singleton removal
  127. Tue Sep 19 01:19:06 2017 begin with 622765873 relations and 425897128 unique ideals
  128. Tue Sep 19 01:29:06 2017 reduce to 622326454 relations and 421942245 ideals in 10 passes
  129. Tue Sep 19 01:29:06 2017 max relations containing the same ideal: 192
  130. Tue Sep 19 01:32:43 2017 removing 5553640 relations and 3788199 ideals in 2000000 cliques
  131. Tue Sep 19 01:32:54 2017 commencing in-memory singleton removal
  132. Tue Sep 19 01:33:43 2017 begin with 616772814 relations and 421942245 unique ideals
  133. Tue Sep 19 01:42:41 2017 reduce to 616343052 relations and 417958406 ideals in 9 passes
  134. Tue Sep 19 01:42:41 2017 max relations containing the same ideal: 191
  135. Tue Sep 19 01:46:18 2017 removing 5596564 relations and 3820832 ideals in 2000000 cliques
  136. Tue Sep 19 01:46:28 2017 commencing in-memory singleton removal
  137. Tue Sep 19 01:47:16 2017 begin with 610746488 relations and 417958406 unique ideals
  138. Tue Sep 19 01:56:05 2017 reduce to 610331381 relations and 413946278 ideals in 9 passes
  139. Tue Sep 19 01:56:05 2017 max relations containing the same ideal: 190
  140. Tue Sep 19 01:59:41 2017 removing 5648678 relations and 3863751 ideals in 2000000 cliques
  141. Tue Sep 19 01:59:51 2017 commencing in-memory singleton removal
  142. Tue Sep 19 02:00:38 2017 begin with 604682703 relations and 413946278 unique ideals
  143. Tue Sep 19 02:09:20 2017 reduce to 604280264 relations and 409894667 ideals in 9 passes
  144. Tue Sep 19 02:09:20 2017 max relations containing the same ideal: 189
  145. Tue Sep 19 02:12:55 2017 removing 5702813 relations and 3906934 ideals in 2000000 cliques
  146. Tue Sep 19 02:13:05 2017 commencing in-memory singleton removal
  147. Tue Sep 19 02:13:52 2017 begin with 598577451 relations and 409894667 unique ideals
  148. Tue Sep 19 02:22:27 2017 reduce to 598190207 relations and 405804151 ideals in 9 passes
  149. Tue Sep 19 02:22:27 2017 max relations containing the same ideal: 187
  150. Tue Sep 19 02:26:02 2017 removing 5758749 relations and 3950936 ideals in 2000000 cliques
  151. Tue Sep 19 02:26:12 2017 commencing in-memory singleton removal
  152. Tue Sep 19 02:26:58 2017 begin with 592431458 relations and 405804151 unique ideals
  153. Tue Sep 19 02:34:30 2017 reduce to 592061298 relations and 401674723 ideals in 8 passes
  154. Tue Sep 19 02:34:30 2017 max relations containing the same ideal: 187
  155. Tue Sep 19 02:38:04 2017 removing 5814825 relations and 3992316 ideals in 2000000 cliques
  156. Tue Sep 19 02:38:14 2017 commencing in-memory singleton removal
  157. Tue Sep 19 02:38:59 2017 begin with 586246473 relations and 401674723 unique ideals
  158. Tue Sep 19 02:46:28 2017 reduce to 585899472 relations and 397512384 ideals in 8 passes
  159. Tue Sep 19 02:46:28 2017 max relations containing the same ideal: 184
  160. Tue Sep 19 02:50:01 2017 removing 5876135 relations and 4039409 ideals in 2000000 cliques
  161. Tue Sep 19 02:50:11 2017 commencing in-memory singleton removal
  162. Tue Sep 19 02:50:56 2017 begin with 580023337 relations and 397512384 unique ideals
  163. Tue Sep 19 02:58:17 2017 reduce to 579698397 relations and 393310794 ideals in 8 passes
  164. Tue Sep 19 02:58:18 2017 max relations containing the same ideal: 184
  165. Tue Sep 19 03:01:50 2017 removing 5952335 relations and 4098726 ideals in 2000000 cliques
  166. Tue Sep 19 03:02:00 2017 commencing in-memory singleton removal
  167. Tue Sep 19 03:02:44 2017 begin with 573746062 relations and 393310794 unique ideals
  168. Tue Sep 19 03:09:59 2017 reduce to 573446171 relations and 389058106 ideals in 8 passes
  169. Tue Sep 19 03:09:59 2017 max relations containing the same ideal: 183
  170. Tue Sep 19 03:13:31 2017 removing 6036198 relations and 4165245 ideals in 2000000 cliques
  171. Tue Sep 19 03:13:40 2017 commencing in-memory singleton removal
  172. Tue Sep 19 03:14:24 2017 begin with 567409973 relations and 389058106 unique ideals
  173. Tue Sep 19 03:21:32 2017 reduce to 567139136 relations and 384750625 ideals in 8 passes
  174. Tue Sep 19 03:21:32 2017 max relations containing the same ideal: 182
  175. Tue Sep 19 03:25:03 2017 removing 6128403 relations and 4237454 ideals in 2000000 cliques
  176. Tue Sep 19 03:25:12 2017 commencing in-memory singleton removal
  177. Tue Sep 19 03:25:56 2017 begin with 561010733 relations and 384750625 unique ideals
  178. Tue Sep 19 03:32:58 2017 reduce to 560772657 relations and 380383747 ideals in 8 passes
  179. Tue Sep 19 03:32:58 2017 max relations containing the same ideal: 180
  180. Tue Sep 19 03:36:28 2017 removing 6234640 relations and 4321579 ideals in 2000000 cliques
  181. Tue Sep 19 03:36:37 2017 commencing in-memory singleton removal
  182. Tue Sep 19 03:37:20 2017 begin with 554538017 relations and 380383747 unique ideals
  183. Tue Sep 19 03:43:26 2017 reduce to 554337225 relations and 375947892 ideals in 7 passes
  184. Tue Sep 19 03:43:26 2017 max relations containing the same ideal: 179
  185. Tue Sep 19 03:46:56 2017 removing 6350573 relations and 4413142 ideals in 2000000 cliques
  186. Tue Sep 19 03:47:05 2017 commencing in-memory singleton removal
  187. Tue Sep 19 03:47:47 2017 begin with 547986652 relations and 375947892 unique ideals
  188. Tue Sep 19 03:53:46 2017 reduce to 547826772 relations and 371437117 ideals in 7 passes
  189. Tue Sep 19 03:53:46 2017 max relations containing the same ideal: 178
  190. Tue Sep 19 03:57:15 2017 removing 6481278 relations and 4517077 ideals in 2000000 cliques
  191. Tue Sep 19 03:57:24 2017 commencing in-memory singleton removal
  192. Tue Sep 19 03:58:05 2017 begin with 541345494 relations and 371437117 unique ideals
  193. Tue Sep 19 04:03:58 2017 reduce to 541231200 relations and 366841239 ideals in 7 passes
  194. Tue Sep 19 04:03:58 2017 max relations containing the same ideal: 178
  195. Tue Sep 19 04:07:26 2017 removing 6614399 relations and 4619781 ideals in 2000000 cliques
  196. Tue Sep 19 04:07:35 2017 commencing in-memory singleton removal
  197. Tue Sep 19 04:08:16 2017 begin with 534616801 relations and 366841239 unique ideals
  198. Tue Sep 19 04:13:13 2017 reduce to 534554452 relations and 362164253 ideals in 6 passes
  199. Tue Sep 19 04:13:13 2017 max relations containing the same ideal: 177
  200. Tue Sep 19 04:16:38 2017 removing 5680221 relations and 3680221 ideals in 2000000 cliques
  201. Tue Sep 19 04:16:47 2017 commencing in-memory singleton removal
  202. Tue Sep 19 04:17:27 2017 begin with 528874231 relations and 362164253 unique ideals
  203. Tue Sep 19 04:21:32 2017 reduce to 528827779 relations and 358437284 ideals in 5 passes
  204. Tue Sep 19 04:21:32 2017 max relations containing the same ideal: 176
  205. Tue Sep 19 04:24:55 2017 removing 5397977 relations and 3397977 ideals in 2000000 cliques
  206. Tue Sep 19 04:25:03 2017 commencing in-memory singleton removal
  207. Tue Sep 19 04:25:43 2017 begin with 523429802 relations and 358437284 unique ideals
  208. Tue Sep 19 04:29:46 2017 reduce to 523386046 relations and 354995218 ideals in 5 passes
  209. Tue Sep 19 04:29:46 2017 max relations containing the same ideal: 176
  210. Tue Sep 19 04:33:07 2017 removing 5334093 relations and 3334093 ideals in 2000000 cliques
  211. Tue Sep 19 04:33:15 2017 commencing in-memory singleton removal
  212. Tue Sep 19 04:33:55 2017 begin with 518051953 relations and 354995218 unique ideals
  213. Tue Sep 19 04:38:41 2017 reduce to 518008948 relations and 351617787 ideals in 6 passes
  214. Tue Sep 19 04:38:41 2017 max relations containing the same ideal: 174
  215. Tue Sep 19 04:41:59 2017 removing 5287748 relations and 3287748 ideals in 2000000 cliques
  216. Tue Sep 19 04:42:07 2017 commencing in-memory singleton removal
  217. Tue Sep 19 04:42:46 2017 begin with 512721200 relations and 351617787 unique ideals
  218. Tue Sep 19 04:46:41 2017 reduce to 512677719 relations and 348286185 ideals in 5 passes
  219. Tue Sep 19 04:46:41 2017 max relations containing the same ideal: 174
  220. Tue Sep 19 04:49:56 2017 removing 5248473 relations and 3248473 ideals in 2000000 cliques
  221. Tue Sep 19 04:50:04 2017 commencing in-memory singleton removal
  222. Tue Sep 19 04:50:42 2017 begin with 507429246 relations and 348286185 unique ideals
  223. Tue Sep 19 04:54:35 2017 reduce to 507384841 relations and 344992955 ideals in 5 passes
  224. Tue Sep 19 04:54:35 2017 max relations containing the same ideal: 173
  225. Tue Sep 19 04:57:47 2017 removing 5219172 relations and 3219172 ideals in 2000000 cliques
  226. Tue Sep 19 04:57:55 2017 commencing in-memory singleton removal
  227. Tue Sep 19 04:58:33 2017 begin with 502165669 relations and 344992955 unique ideals
  228. Tue Sep 19 05:02:22 2017 reduce to 502120618 relations and 341728358 ideals in 5 passes
  229. Tue Sep 19 05:02:22 2017 max relations containing the same ideal: 171
  230. Tue Sep 19 05:05:32 2017 removing 5201007 relations and 3201007 ideals in 2000000 cliques
  231. Tue Sep 19 05:05:40 2017 commencing in-memory singleton removal
  232. Tue Sep 19 05:06:17 2017 begin with 496919611 relations and 341728358 unique ideals
  233. Tue Sep 19 05:10:03 2017 reduce to 496874690 relations and 338482015 ideals in 5 passes
  234. Tue Sep 19 05:10:03 2017 max relations containing the same ideal: 170
  235. Tue Sep 19 05:13:11 2017 removing 5186810 relations and 3186810 ideals in 2000000 cliques
  236. Tue Sep 19 05:13:19 2017 commencing in-memory singleton removal
  237. Tue Sep 19 05:13:56 2017 begin with 491687880 relations and 338482015 unique ideals
  238. Tue Sep 19 05:17:40 2017 reduce to 491642420 relations and 335249333 ideals in 5 passes
  239. Tue Sep 19 05:17:41 2017 max relations containing the same ideal: 168
  240. Tue Sep 19 05:20:46 2017 removing 5174241 relations and 3174241 ideals in 2000000 cliques
  241. Tue Sep 19 05:20:54 2017 commencing in-memory singleton removal
  242. Tue Sep 19 05:21:30 2017 begin with 486468179 relations and 335249333 unique ideals
  243. Tue Sep 19 05:25:11 2017 reduce to 486422593 relations and 332029153 ideals in 5 passes
  244. Tue Sep 19 05:25:11 2017 max relations containing the same ideal: 168
  245. Tue Sep 19 05:28:14 2017 removing 5164778 relations and 3164778 ideals in 2000000 cliques
  246. Tue Sep 19 05:28:22 2017 commencing in-memory singleton removal
  247. Tue Sep 19 05:28:58 2017 begin with 481257815 relations and 332029153 unique ideals
  248. Tue Sep 19 05:32:35 2017 reduce to 481211651 relations and 328817784 ideals in 5 passes
  249. Tue Sep 19 05:32:35 2017 max relations containing the same ideal: 166
  250. Tue Sep 19 05:35:36 2017 removing 5156696 relations and 3156696 ideals in 2000000 cliques
  251. Tue Sep 19 05:35:44 2017 commencing in-memory singleton removal
  252. Tue Sep 19 05:36:19 2017 begin with 476054955 relations and 328817784 unique ideals
  253. Tue Sep 19 05:39:53 2017 reduce to 476008653 relations and 325614336 ideals in 5 passes
  254. Tue Sep 19 05:39:53 2017 max relations containing the same ideal: 164
  255. Tue Sep 19 05:42:51 2017 removing 5146614 relations and 3146614 ideals in 2000000 cliques
  256. Tue Sep 19 05:42:59 2017 commencing in-memory singleton removal
  257. Tue Sep 19 05:43:33 2017 begin with 470862039 relations and 325614336 unique ideals
  258. Tue Sep 19 05:47:04 2017 reduce to 470814864 relations and 322420139 ideals in 5 passes
  259. Tue Sep 19 05:47:04 2017 max relations containing the same ideal: 163
  260. Tue Sep 19 05:50:00 2017 removing 5139523 relations and 3139523 ideals in 2000000 cliques
  261. Tue Sep 19 05:50:08 2017 commencing in-memory singleton removal
  262. Tue Sep 19 05:50:42 2017 begin with 465675341 relations and 322420139 unique ideals
  263. Tue Sep 19 05:54:10 2017 reduce to 465628826 relations and 319233662 ideals in 5 passes
  264. Tue Sep 19 05:54:10 2017 max relations containing the same ideal: 161
  265. Tue Sep 19 05:57:03 2017 removing 5130755 relations and 3130755 ideals in 2000000 cliques
  266. Tue Sep 19 05:57:11 2017 commencing in-memory singleton removal
  267. Tue Sep 19 05:57:44 2017 begin with 460498071 relations and 319233662 unique ideals
  268. Tue Sep 19 06:01:51 2017 reduce to 460451271 relations and 316055618 ideals in 6 passes
  269. Tue Sep 19 06:01:51 2017 max relations containing the same ideal: 161
  270. Tue Sep 19 06:04:42 2017 removing 5125321 relations and 3125321 ideals in 2000000 cliques
  271. Tue Sep 19 06:04:49 2017 commencing in-memory singleton removal
  272. Tue Sep 19 06:05:23 2017 begin with 455325950 relations and 316055618 unique ideals
  273. Tue Sep 19 06:08:46 2017 reduce to 455278877 relations and 312882773 ideals in 5 passes
  274. Tue Sep 19 06:08:46 2017 max relations containing the same ideal: 160
  275. Tue Sep 19 06:11:34 2017 removing 5117003 relations and 3117003 ideals in 2000000 cliques
  276. Tue Sep 19 06:11:42 2017 commencing in-memory singleton removal
  277. Tue Sep 19 06:12:14 2017 begin with 450161874 relations and 312882773 unique ideals
  278. Tue Sep 19 06:15:26 2017 reduce to 450114841 relations and 309718269 ideals in 5 passes
  279. Tue Sep 19 06:15:26 2017 max relations containing the same ideal: 159
  280. Tue Sep 19 06:18:09 2017 removing 5109739 relations and 3109739 ideals in 2000000 cliques
  281. Tue Sep 19 06:18:16 2017 commencing in-memory singleton removal
  282. Tue Sep 19 06:18:45 2017 begin with 445005102 relations and 309718269 unique ideals
  283. Tue Sep 19 06:21:37 2017 reduce to 444957580 relations and 306560501 ideals in 5 passes
  284. Tue Sep 19 06:21:37 2017 max relations containing the same ideal: 157
  285. Tue Sep 19 06:24:08 2017 removing 5104044 relations and 3104044 ideals in 2000000 cliques
  286. Tue Sep 19 06:24:15 2017 commencing in-memory singleton removal
  287. Tue Sep 19 06:24:41 2017 begin with 439853536 relations and 306560501 unique ideals
  288. Tue Sep 19 06:27:10 2017 reduce to 439805874 relations and 303408251 ideals in 5 passes
  289. Tue Sep 19 06:27:10 2017 max relations containing the same ideal: 157
  290. Tue Sep 19 06:29:30 2017 removing 5097014 relations and 3097014 ideals in 2000000 cliques
  291. Tue Sep 19 06:29:37 2017 commencing in-memory singleton removal
  292. Tue Sep 19 06:30:02 2017 begin with 434708860 relations and 303408251 unique ideals
  293. Tue Sep 19 06:32:26 2017 reduce to 434661040 relations and 300262934 ideals in 5 passes
  294. Tue Sep 19 06:32:26 2017 max relations containing the same ideal: 156
  295. Tue Sep 19 06:34:43 2017 removing 5091086 relations and 3091086 ideals in 2000000 cliques
  296. Tue Sep 19 06:34:50 2017 commencing in-memory singleton removal
  297. Tue Sep 19 06:35:15 2017 begin with 429569954 relations and 300262934 unique ideals
  298. Tue Sep 19 06:37:37 2017 reduce to 429521947 relations and 297123345 ideals in 5 passes
  299. Tue Sep 19 06:37:37 2017 max relations containing the same ideal: 153
  300. Tue Sep 19 06:39:51 2017 removing 5084720 relations and 3084720 ideals in 2000000 cliques
  301. Tue Sep 19 06:39:59 2017 commencing in-memory singleton removal
  302. Tue Sep 19 06:40:23 2017 begin with 424437227 relations and 297123345 unique ideals
  303. Tue Sep 19 06:42:45 2017 reduce to 424389348 relations and 293990215 ideals in 5 passes
  304. Tue Sep 19 06:42:45 2017 max relations containing the same ideal: 153
  305. Tue Sep 19 06:44:57 2017 removing 5079977 relations and 3079977 ideals in 2000000 cliques
  306. Tue Sep 19 06:45:04 2017 commencing in-memory singleton removal
  307. Tue Sep 19 06:45:28 2017 begin with 419309371 relations and 293990215 unique ideals
  308. Tue Sep 19 06:47:47 2017 reduce to 419260714 relations and 290861076 ideals in 5 passes
  309. Tue Sep 19 06:47:47 2017 max relations containing the same ideal: 151
  310. Tue Sep 19 06:49:56 2017 removing 5075025 relations and 3075025 ideals in 2000000 cliques
  311. Tue Sep 19 06:50:03 2017 commencing in-memory singleton removal
  312. Tue Sep 19 06:50:26 2017 begin with 414185689 relations and 290861076 unique ideals
  313. Tue Sep 19 06:52:43 2017 reduce to 414136473 relations and 287736273 ideals in 5 passes
  314. Tue Sep 19 06:52:43 2017 max relations containing the same ideal: 149
  315. Tue Sep 19 06:54:48 2017 removing 5069960 relations and 3069960 ideals in 2000000 cliques
  316. Tue Sep 19 06:54:55 2017 commencing in-memory singleton removal
  317. Tue Sep 19 06:55:19 2017 begin with 409066513 relations and 287736273 unique ideals
  318. Tue Sep 19 06:57:34 2017 reduce to 409017509 relations and 284616814 ideals in 5 passes
  319. Tue Sep 19 06:57:34 2017 max relations containing the same ideal: 149
  320. Tue Sep 19 06:59:35 2017 removing 5063255 relations and 3063255 ideals in 2000000 cliques
  321. Tue Sep 19 06:59:42 2017 commencing in-memory singleton removal
  322. Tue Sep 19 07:00:05 2017 begin with 403954254 relations and 284616814 unique ideals
  323. Tue Sep 19 07:02:18 2017 reduce to 403904880 relations and 281503650 ideals in 5 passes
  324. Tue Sep 19 07:02:18 2017 max relations containing the same ideal: 147
  325. Tue Sep 19 07:04:16 2017 removing 5060644 relations and 3060644 ideals in 2000000 cliques
  326. Tue Sep 19 07:04:23 2017 commencing in-memory singleton removal
  327. Tue Sep 19 07:04:46 2017 begin with 398844236 relations and 281503650 unique ideals
  328. Tue Sep 19 07:06:57 2017 reduce to 398794390 relations and 278392592 ideals in 5 passes
  329. Tue Sep 19 07:06:57 2017 max relations containing the same ideal: 146
  330. Tue Sep 19 07:08:51 2017 removing 5054424 relations and 3054424 ideals in 2000000 cliques
  331. Tue Sep 19 07:08:57 2017 commencing in-memory singleton removal
  332. Tue Sep 19 07:09:20 2017 begin with 393739966 relations and 278392592 unique ideals
  333. Tue Sep 19 07:11:31 2017 reduce to 393689767 relations and 275287399 ideals in 5 passes
  334. Tue Sep 19 07:11:31 2017 max relations containing the same ideal: 143
  335. Tue Sep 19 07:13:24 2017 removing 5050182 relations and 3050182 ideals in 2000000 cliques
  336. Tue Sep 19 07:13:30 2017 commencing in-memory singleton removal
  337. Tue Sep 19 07:13:53 2017 begin with 388639585 relations and 275287399 unique ideals
  338. Tue Sep 19 07:16:01 2017 reduce to 388589324 relations and 272186367 ideals in 5 passes
  339. Tue Sep 19 07:16:01 2017 max relations containing the same ideal: 142
  340. Tue Sep 19 07:17:52 2017 removing 5045909 relations and 3045909 ideals in 2000000 cliques
  341. Tue Sep 19 07:17:59 2017 commencing in-memory singleton removal
  342. Tue Sep 19 07:18:21 2017 begin with 383543415 relations and 272186367 unique ideals
  343. Tue Sep 19 07:20:27 2017 reduce to 383492713 relations and 269089170 ideals in 5 passes
  344. Tue Sep 19 07:20:27 2017 max relations containing the same ideal: 142
  345. Tue Sep 19 07:22:17 2017 removing 5041079 relations and 3041079 ideals in 2000000 cliques
  346. Tue Sep 19 07:22:23 2017 commencing in-memory singleton removal
  347. Tue Sep 19 07:22:45 2017 begin with 378451634 relations and 269089170 unique ideals
  348. Tue Sep 19 07:24:49 2017 reduce to 378400605 relations and 265996451 ideals in 5 passes
  349. Tue Sep 19 07:24:49 2017 max relations containing the same ideal: 141
  350. Tue Sep 19 07:26:38 2017 removing 5041172 relations and 3041172 ideals in 2000000 cliques
  351. Tue Sep 19 07:26:44 2017 commencing in-memory singleton removal
  352. Tue Sep 19 07:27:05 2017 begin with 373359433 relations and 265996451 unique ideals
  353. Tue Sep 19 07:29:08 2017 reduce to 373307590 relations and 262902818 ideals in 5 passes
  354. Tue Sep 19 07:29:08 2017 max relations containing the same ideal: 139
  355. Tue Sep 19 07:30:55 2017 removing 5036505 relations and 3036505 ideals in 2000000 cliques
  356. Tue Sep 19 07:31:01 2017 commencing in-memory singleton removal
  357. Tue Sep 19 07:31:22 2017 begin with 368271085 relations and 262902818 unique ideals
  358. Tue Sep 19 07:33:23 2017 reduce to 368219323 relations and 259813992 ideals in 5 passes
  359. Tue Sep 19 07:33:23 2017 max relations containing the same ideal: 138
  360. Tue Sep 19 07:35:08 2017 removing 5032985 relations and 3032985 ideals in 2000000 cliques
  361. Tue Sep 19 07:35:15 2017 commencing in-memory singleton removal
  362. Tue Sep 19 07:35:35 2017 begin with 363186338 relations and 259813992 unique ideals
  363. Tue Sep 19 07:37:34 2017 reduce to 363134124 relations and 256728130 ideals in 5 passes
  364. Tue Sep 19 07:37:34 2017 max relations containing the same ideal: 137
  365. Tue Sep 19 07:39:19 2017 removing 5028668 relations and 3028668 ideals in 2000000 cliques
  366. Tue Sep 19 07:39:25 2017 commencing in-memory singleton removal
  367. Tue Sep 19 07:39:45 2017 begin with 358105456 relations and 256728130 unique ideals
  368. Tue Sep 19 07:41:43 2017 reduce to 358052799 relations and 253646182 ideals in 5 passes
  369. Tue Sep 19 07:41:43 2017 max relations containing the same ideal: 136
  370. Tue Sep 19 07:43:26 2017 removing 5024956 relations and 3024956 ideals in 2000000 cliques
  371. Tue Sep 19 07:43:32 2017 commencing in-memory singleton removal
  372. Tue Sep 19 07:43:52 2017 begin with 353027843 relations and 253646182 unique ideals
  373. Tue Sep 19 07:45:49 2017 reduce to 352974378 relations and 250567100 ideals in 5 passes
  374. Tue Sep 19 07:45:49 2017 max relations containing the same ideal: 135
  375. Tue Sep 19 07:47:30 2017 removing 5023546 relations and 3023546 ideals in 2000000 cliques
  376. Tue Sep 19 07:47:36 2017 commencing in-memory singleton removal
  377. Tue Sep 19 07:47:56 2017 begin with 347950832 relations and 250567100 unique ideals
  378. Tue Sep 19 07:49:50 2017 reduce to 347897020 relations and 247489099 ideals in 5 passes
  379. Tue Sep 19 07:49:50 2017 max relations containing the same ideal: 134
  380. Tue Sep 19 07:51:30 2017 removing 5023327 relations and 3023327 ideals in 2000000 cliques
  381. Tue Sep 19 07:51:36 2017 commencing in-memory singleton removal
  382. Tue Sep 19 07:51:55 2017 begin with 342873693 relations and 247489099 unique ideals
  383. Tue Sep 19 07:53:47 2017 reduce to 342820187 relations and 244411575 ideals in 5 passes
  384. Tue Sep 19 07:53:47 2017 max relations containing the same ideal: 132
  385. Tue Sep 19 07:55:26 2017 removing 5018288 relations and 3018288 ideals in 2000000 cliques
  386. Tue Sep 19 07:55:32 2017 commencing in-memory singleton removal
  387. Tue Sep 19 07:55:51 2017 begin with 337801899 relations and 244411575 unique ideals
  388. Tue Sep 19 07:57:42 2017 reduce to 337747282 relations and 241337998 ideals in 5 passes
  389. Tue Sep 19 07:57:42 2017 max relations containing the same ideal: 132
  390. Tue Sep 19 07:59:19 2017 removing 5018396 relations and 3018396 ideals in 2000000 cliques
  391. Tue Sep 19 07:59:24 2017 commencing in-memory singleton removal
  392. Tue Sep 19 07:59:43 2017 begin with 332728886 relations and 241337998 unique ideals
  393. Tue Sep 19 08:01:54 2017 reduce to 332673952 relations and 238263987 ideals in 6 passes
  394. Tue Sep 19 08:01:54 2017 max relations containing the same ideal: 132
  395. Tue Sep 19 08:03:29 2017 removing 5015439 relations and 3015439 ideals in 2000000 cliques
  396. Tue Sep 19 08:03:35 2017 commencing in-memory singleton removal
  397. Tue Sep 19 08:03:54 2017 begin with 327658513 relations and 238263987 unique ideals
  398. Tue Sep 19 08:05:42 2017 reduce to 327603208 relations and 235192495 ideals in 5 passes
  399. Tue Sep 19 08:05:42 2017 max relations containing the same ideal: 129
  400. Tue Sep 19 08:07:16 2017 removing 5011418 relations and 3011418 ideals in 2000000 cliques
  401. Tue Sep 19 08:07:22 2017 commencing in-memory singleton removal
  402. Tue Sep 19 08:07:40 2017 begin with 322591790 relations and 235192495 unique ideals
  403. Tue Sep 19 08:09:26 2017 reduce to 322535582 relations and 232124176 ideals in 5 passes
  404. Tue Sep 19 08:09:26 2017 max relations containing the same ideal: 127
  405. Tue Sep 19 08:10:59 2017 removing 5011011 relations and 3011011 ideals in 2000000 cliques
  406. Tue Sep 19 08:11:05 2017 commencing in-memory singleton removal
  407. Tue Sep 19 08:11:23 2017 begin with 317524571 relations and 232124176 unique ideals
  408. Tue Sep 19 08:13:06 2017 reduce to 317467929 relations and 229055811 ideals in 5 passes
  409. Tue Sep 19 08:13:06 2017 max relations containing the same ideal: 125
  410. Tue Sep 19 08:14:38 2017 removing 5010703 relations and 3010703 ideals in 2000000 cliques
  411. Tue Sep 19 08:14:43 2017 commencing in-memory singleton removal
  412. Tue Sep 19 08:15:01 2017 begin with 312457226 relations and 229055811 unique ideals
  413. Tue Sep 19 08:16:43 2017 reduce to 312400009 relations and 225987157 ideals in 5 passes
  414. Tue Sep 19 08:16:43 2017 max relations containing the same ideal: 124
  415. Tue Sep 19 08:18:13 2017 removing 5009274 relations and 3009274 ideals in 2000000 cliques
  416. Tue Sep 19 08:18:19 2017 commencing in-memory singleton removal
  417. Tue Sep 19 08:18:36 2017 begin with 307390735 relations and 225987157 unique ideals
  418. Tue Sep 19 08:20:16 2017 reduce to 307333369 relations and 222919790 ideals in 5 passes
  419. Tue Sep 19 08:20:16 2017 max relations containing the same ideal: 123
  420. Tue Sep 19 08:21:45 2017 removing 5007747 relations and 3007747 ideals in 2000000 cliques
  421. Tue Sep 19 08:21:50 2017 commencing in-memory singleton removal
  422. Tue Sep 19 08:22:07 2017 begin with 302325622 relations and 222919790 unique ideals
  423. Tue Sep 19 08:23:45 2017 reduce to 302266961 relations and 219852684 ideals in 5 passes
  424. Tue Sep 19 08:23:45 2017 max relations containing the same ideal: 122
  425. Tue Sep 19 08:25:13 2017 removing 5005988 relations and 3005988 ideals in 2000000 cliques
  426. Tue Sep 19 08:25:18 2017 commencing in-memory singleton removal
  427. Tue Sep 19 08:25:35 2017 begin with 297260973 relations and 219852684 unique ideals
  428. Tue Sep 19 08:27:11 2017 reduce to 297202013 relations and 216786931 ideals in 5 passes
  429. Tue Sep 19 08:27:11 2017 max relations containing the same ideal: 121
  430. Tue Sep 19 08:28:37 2017 removing 5007583 relations and 3007583 ideals in 2000000 cliques
  431. Tue Sep 19 08:28:42 2017 commencing in-memory singleton removal
  432. Tue Sep 19 08:28:59 2017 begin with 292194430 relations and 216786931 unique ideals
  433. Tue Sep 19 08:30:35 2017 reduce to 292135244 relations and 213719327 ideals in 5 passes
  434. Tue Sep 19 08:30:35 2017 max relations containing the same ideal: 119
  435. Tue Sep 19 08:31:59 2017 removing 5008173 relations and 3008173 ideals in 2000000 cliques
  436. Tue Sep 19 08:32:04 2017 commencing in-memory singleton removal
  437. Tue Sep 19 08:32:21 2017 begin with 287127071 relations and 213719327 unique ideals
  438. Tue Sep 19 08:33:54 2017 reduce to 287066691 relations and 210649944 ideals in 5 passes
  439. Tue Sep 19 08:33:54 2017 max relations containing the same ideal: 119
  440. Tue Sep 19 08:35:17 2017 removing 5007102 relations and 3007102 ideals in 2000000 cliques
  441. Tue Sep 19 08:35:22 2017 commencing in-memory singleton removal
  442. Tue Sep 19 08:35:38 2017 begin with 282059589 relations and 210649944 unique ideals
  443. Tue Sep 19 08:37:10 2017 reduce to 281998435 relations and 207580874 ideals in 5 passes
  444. Tue Sep 19 08:37:10 2017 max relations containing the same ideal: 118
  445. Tue Sep 19 08:38:32 2017 removing 5008470 relations and 3008470 ideals in 2000000 cliques
  446. Tue Sep 19 08:38:37 2017 commencing in-memory singleton removal
  447. Tue Sep 19 08:38:52 2017 begin with 276989965 relations and 207580874 unique ideals
  448. Tue Sep 19 08:40:22 2017 reduce to 276928261 relations and 204509914 ideals in 5 passes
  449. Tue Sep 19 08:40:22 2017 max relations containing the same ideal: 116
  450. Tue Sep 19 08:41:42 2017 removing 5009266 relations and 3009266 ideals in 2000000 cliques
  451. Tue Sep 19 08:41:47 2017 commencing in-memory singleton removal
  452. Tue Sep 19 08:42:02 2017 begin with 271918995 relations and 204509914 unique ideals
  453. Tue Sep 19 08:43:31 2017 reduce to 271856440 relations and 201437202 ideals in 5 passes
  454. Tue Sep 19 08:43:31 2017 max relations containing the same ideal: 116
  455. Tue Sep 19 08:44:49 2017 removing 5010439 relations and 3010439 ideals in 2000000 cliques
  456. Tue Sep 19 08:44:54 2017 commencing in-memory singleton removal
  457. Tue Sep 19 08:45:09 2017 begin with 266846001 relations and 201437202 unique ideals
  458. Tue Sep 19 08:46:35 2017 reduce to 266782460 relations and 198362383 ideals in 5 passes
  459. Tue Sep 19 08:46:35 2017 max relations containing the same ideal: 116
  460. Tue Sep 19 08:47:53 2017 removing 5012424 relations and 3012424 ideals in 2000000 cliques
  461. Tue Sep 19 08:47:58 2017 commencing in-memory singleton removal
  462. Tue Sep 19 08:48:12 2017 begin with 261770036 relations and 198362383 unique ideals
  463. Tue Sep 19 08:49:38 2017 reduce to 261705581 relations and 195284614 ideals in 5 passes
  464. Tue Sep 19 08:49:38 2017 max relations containing the same ideal: 115
  465. Tue Sep 19 08:50:54 2017 removing 5015814 relations and 3015814 ideals in 2000000 cliques
  466. Tue Sep 19 08:50:59 2017 commencing in-memory singleton removal
  467. Tue Sep 19 08:51:13 2017 begin with 256689767 relations and 195284614 unique ideals
  468. Tue Sep 19 08:52:37 2017 reduce to 256623850 relations and 192201993 ideals in 5 passes
  469. Tue Sep 19 08:52:37 2017 max relations containing the same ideal: 111
  470. Tue Sep 19 08:53:51 2017 removing 5016780 relations and 3016780 ideals in 2000000 cliques
  471. Tue Sep 19 08:53:56 2017 commencing in-memory singleton removal
  472. Tue Sep 19 08:54:10 2017 begin with 251607070 relations and 192201993 unique ideals
  473. Tue Sep 19 08:55:31 2017 reduce to 251540228 relations and 189117443 ideals in 5 passes
  474. Tue Sep 19 08:55:31 2017 max relations containing the same ideal: 109
  475. Tue Sep 19 08:56:45 2017 removing 5020284 relations and 3020284 ideals in 2000000 cliques
  476. Tue Sep 19 08:56:49 2017 commencing in-memory singleton removal
  477. Tue Sep 19 08:57:03 2017 begin with 246519944 relations and 189117443 unique ideals
  478. Tue Sep 19 08:58:23 2017 reduce to 246451850 relations and 186028114 ideals in 5 passes
  479. Tue Sep 19 08:58:23 2017 max relations containing the same ideal: 106
  480. Tue Sep 19 08:59:34 2017 removing 5023018 relations and 3023018 ideals in 2000000 cliques
  481. Tue Sep 19 08:59:39 2017 commencing in-memory singleton removal
  482. Tue Sep 19 08:59:52 2017 begin with 241428832 relations and 186028114 unique ideals
  483. Tue Sep 19 09:01:10 2017 reduce to 241360228 relations and 182935545 ideals in 5 passes
  484. Tue Sep 19 09:01:10 2017 max relations containing the same ideal: 104
  485. Tue Sep 19 09:02:20 2017 removing 5027957 relations and 3027957 ideals in 2000000 cliques
  486. Tue Sep 19 09:02:25 2017 commencing in-memory singleton removal
  487. Tue Sep 19 09:02:38 2017 begin with 236332271 relations and 182935545 unique ideals
  488. Tue Sep 19 09:03:54 2017 reduce to 236262087 relations and 179836380 ideals in 5 passes
  489. Tue Sep 19 09:03:54 2017 max relations containing the same ideal: 104
  490. Tue Sep 19 09:05:03 2017 removing 5031393 relations and 3031393 ideals in 2000000 cliques
  491. Tue Sep 19 09:05:07 2017 commencing in-memory singleton removal
  492. Tue Sep 19 09:05:20 2017 begin with 231230694 relations and 179836380 unique ideals
  493. Tue Sep 19 09:06:34 2017 reduce to 231159414 relations and 176732716 ideals in 5 passes
  494. Tue Sep 19 09:06:34 2017 max relations containing the same ideal: 104
  495. Tue Sep 19 09:07:42 2017 removing 5038668 relations and 3038668 ideals in 2000000 cliques
  496. Tue Sep 19 09:07:46 2017 commencing in-memory singleton removal
  497. Tue Sep 19 09:07:59 2017 begin with 226120746 relations and 176732716 unique ideals
  498. Tue Sep 19 09:09:12 2017 reduce to 226047173 relations and 173619450 ideals in 5 passes
  499. Tue Sep 19 09:09:12 2017 max relations containing the same ideal: 102
  500. Tue Sep 19 09:10:19 2017 removing 5044251 relations and 3044251 ideals in 2000000 cliques
  501. Tue Sep 19 09:10:23 2017 commencing in-memory singleton removal
  502. Tue Sep 19 09:10:35 2017 begin with 221002922 relations and 173619450 unique ideals
  503. Tue Sep 19 09:11:46 2017 reduce to 220927590 relations and 170498833 ideals in 5 passes
  504. Tue Sep 19 09:11:46 2017 max relations containing the same ideal: 101
  505. Tue Sep 19 09:12:51 2017 removing 5050373 relations and 3050373 ideals in 2000000 cliques
  506. Tue Sep 19 09:12:55 2017 commencing in-memory singleton removal
  507. Tue Sep 19 09:13:07 2017 begin with 215877217 relations and 170498833 unique ideals
  508. Tue Sep 19 09:14:30 2017 reduce to 215801015 relations and 167371148 ideals in 6 passes
  509. Tue Sep 19 09:14:30 2017 max relations containing the same ideal: 96
  510. Tue Sep 19 09:15:33 2017 removing 5056577 relations and 3056577 ideals in 2000000 cliques
  511. Tue Sep 19 09:15:37 2017 commencing in-memory singleton removal
  512. Tue Sep 19 09:15:49 2017 begin with 210744438 relations and 167371148 unique ideals
  513. Tue Sep 19 09:16:56 2017 reduce to 210665460 relations and 164234486 ideals in 5 passes
  514. Tue Sep 19 09:16:56 2017 max relations containing the same ideal: 95
  515. Tue Sep 19 09:17:58 2017 removing 5065290 relations and 3065290 ideals in 2000000 cliques
  516. Tue Sep 19 09:18:02 2017 commencing in-memory singleton removal
  517. Tue Sep 19 09:18:14 2017 begin with 205600170 relations and 164234486 unique ideals
  518. Tue Sep 19 09:19:19 2017 reduce to 205519125 relations and 161086996 ideals in 5 passes
  519. Tue Sep 19 09:19:19 2017 max relations containing the same ideal: 93
  520. Tue Sep 19 09:20:20 2017 removing 5078679 relations and 3078679 ideals in 2000000 cliques
  521. Tue Sep 19 09:20:24 2017 commencing in-memory singleton removal
  522. Tue Sep 19 09:20:35 2017 begin with 200440446 relations and 161086996 unique ideals
  523. Tue Sep 19 09:21:38 2017 reduce to 200357511 relations and 157924218 ideals in 5 passes
  524. Tue Sep 19 09:21:38 2017 max relations containing the same ideal: 92
  525. Tue Sep 19 09:22:37 2017 removing 5089015 relations and 3089015 ideals in 2000000 cliques
  526. Tue Sep 19 09:22:41 2017 commencing in-memory singleton removal
  527. Tue Sep 19 09:22:52 2017 begin with 195268496 relations and 157924218 unique ideals
  528. Tue Sep 19 09:23:55 2017 reduce to 195182854 relations and 154748321 ideals in 5 passes
  529. Tue Sep 19 09:23:55 2017 max relations containing the same ideal: 90
  530. Tue Sep 19 09:24:53 2017 removing 5099476 relations and 3099476 ideals in 2000000 cliques
  531. Tue Sep 19 09:24:56 2017 commencing in-memory singleton removal
  532. Tue Sep 19 09:25:07 2017 begin with 190083378 relations and 154748321 unique ideals
  533. Tue Sep 19 09:26:08 2017 reduce to 189994802 relations and 151558982 ideals in 5 passes
  534. Tue Sep 19 09:26:08 2017 max relations containing the same ideal: 90
  535. Tue Sep 19 09:27:04 2017 removing 5114221 relations and 3114221 ideals in 2000000 cliques
  536. Tue Sep 19 09:27:08 2017 commencing in-memory singleton removal
  537. Tue Sep 19 09:27:18 2017 begin with 184880581 relations and 151558982 unique ideals
  538. Tue Sep 19 09:28:17 2017 reduce to 184789130 relations and 148351896 ideals in 5 passes
  539. Tue Sep 19 09:28:17 2017 max relations containing the same ideal: 89
  540. Tue Sep 19 09:29:11 2017 removing 5130073 relations and 3130073 ideals in 2000000 cliques
  541. Tue Sep 19 09:29:15 2017 commencing in-memory singleton removal
  542. Tue Sep 19 09:29:25 2017 begin with 179659057 relations and 148351896 unique ideals
  543. Tue Sep 19 09:30:22 2017 reduce to 179564100 relations and 145125479 ideals in 5 passes
  544. Tue Sep 19 09:30:22 2017 max relations containing the same ideal: 87
  545. Tue Sep 19 09:31:15 2017 removing 5146501 relations and 3146501 ideals in 2000000 cliques
  546. Tue Sep 19 09:31:19 2017 commencing in-memory singleton removal
  547. Tue Sep 19 09:31:28 2017 begin with 174417599 relations and 145125479 unique ideals
  548. Tue Sep 19 09:32:23 2017 reduce to 174318992 relations and 141878900 ideals in 5 passes
  549. Tue Sep 19 09:32:23 2017 max relations containing the same ideal: 84
  550. Tue Sep 19 09:33:15 2017 removing 5167260 relations and 3167260 ideals in 2000000 cliques
  551. Tue Sep 19 09:33:19 2017 commencing in-memory singleton removal
  552. Tue Sep 19 09:33:28 2017 begin with 169151732 relations and 141878900 unique ideals
  553. Tue Sep 19 09:34:21 2017 reduce to 169048622 relations and 138606932 ideals in 5 passes
  554. Tue Sep 19 09:34:21 2017 max relations containing the same ideal: 81
  555. Tue Sep 19 09:35:12 2017 removing 5190171 relations and 3190171 ideals in 2000000 cliques
  556. Tue Sep 19 09:35:15 2017 commencing in-memory singleton removal
  557. Tue Sep 19 09:35:24 2017 begin with 163858451 relations and 138606932 unique ideals
  558. Tue Sep 19 09:36:15 2017 reduce to 163751289 relations and 135307978 ideals in 5 passes
  559. Tue Sep 19 09:36:15 2017 max relations containing the same ideal: 80
  560. Tue Sep 19 09:37:05 2017 removing 5215750 relations and 3215750 ideals in 2000000 cliques
  561. Tue Sep 19 09:37:08 2017 commencing in-memory singleton removal
  562. Tue Sep 19 09:37:17 2017 begin with 158535539 relations and 135307978 unique ideals
  563. Tue Sep 19 09:38:07 2017 reduce to 158423596 relations and 131978555 ideals in 5 passes
  564. Tue Sep 19 09:38:07 2017 max relations containing the same ideal: 77
  565. Tue Sep 19 09:38:55 2017 removing 5244589 relations and 3244589 ideals in 2000000 cliques
  566. Tue Sep 19 09:38:58 2017 commencing in-memory singleton removal
  567. Tue Sep 19 09:39:06 2017 begin with 153179007 relations and 131978555 unique ideals
  568. Tue Sep 19 09:39:54 2017 reduce to 153059877 relations and 128613012 ideals in 5 passes
  569. Tue Sep 19 09:39:55 2017 max relations containing the same ideal: 77
  570. Tue Sep 19 09:40:41 2017 removing 5274747 relations and 3274747 ideals in 2000000 cliques
  571. Tue Sep 19 09:40:44 2017 commencing in-memory singleton removal
  572. Tue Sep 19 09:40:52 2017 begin with 147785130 relations and 128613012 unique ideals
  573. Tue Sep 19 09:41:38 2017 reduce to 147660170 relations and 125211332 ideals in 5 passes
  574. Tue Sep 19 09:41:38 2017 max relations containing the same ideal: 76
  575. Tue Sep 19 09:42:23 2017 removing 5315851 relations and 3315851 ideals in 2000000 cliques
  576. Tue Sep 19 09:42:26 2017 commencing in-memory singleton removal
  577. Tue Sep 19 09:42:34 2017 begin with 142344319 relations and 125211332 unique ideals
  578. Tue Sep 19 09:43:27 2017 reduce to 142212303 relations and 121761437 ideals in 6 passes
  579. Tue Sep 19 09:43:27 2017 max relations containing the same ideal: 73
  580. Tue Sep 19 09:44:10 2017 removing 5356868 relations and 3356868 ideals in 2000000 cliques
  581. Tue Sep 19 09:44:13 2017 commencing in-memory singleton removal
  582. Tue Sep 19 09:44:21 2017 begin with 136855435 relations and 121761437 unique ideals
  583. Tue Sep 19 09:45:03 2017 reduce to 136714363 relations and 118261226 ideals in 5 passes
  584. Tue Sep 19 09:45:03 2017 max relations containing the same ideal: 71
  585. Tue Sep 19 09:45:45 2017 removing 5404495 relations and 3404495 ideals in 2000000 cliques
  586. Tue Sep 19 09:45:48 2017 commencing in-memory singleton removal
  587. Tue Sep 19 09:45:55 2017 begin with 131309868 relations and 118261226 unique ideals
  588. Tue Sep 19 09:46:44 2017 reduce to 131159342 relations and 114703809 ideals in 6 passes
  589. Tue Sep 19 09:46:44 2017 max relations containing the same ideal: 71
  590. Tue Sep 19 09:47:24 2017 removing 5464615 relations and 3464615 ideals in 2000000 cliques
  591. Tue Sep 19 09:47:27 2017 commencing in-memory singleton removal
  592. Tue Sep 19 09:47:34 2017 begin with 125694727 relations and 114703809 unique ideals
  593. Tue Sep 19 09:48:21 2017 reduce to 125532129 relations and 111073950 ideals in 6 passes
  594. Tue Sep 19 09:48:21 2017 max relations containing the same ideal: 69
  595. Tue Sep 19 09:49:00 2017 removing 5530301 relations and 3530301 ideals in 2000000 cliques
  596. Tue Sep 19 09:49:03 2017 commencing in-memory singleton removal
  597. Tue Sep 19 09:49:09 2017 begin with 120001828 relations and 111073950 unique ideals
  598. Tue Sep 19 09:50:01 2017 reduce to 119826989 relations and 107365953 ideals in 7 passes
  599. Tue Sep 19 09:50:01 2017 max relations containing the same ideal: 67
  600. Tue Sep 19 09:50:39 2017 removing 5603472 relations and 3603472 ideals in 2000000 cliques
  601. Tue Sep 19 09:50:41 2017 commencing in-memory singleton removal
  602. Tue Sep 19 09:50:47 2017 begin with 114223517 relations and 107365953 unique ideals
  603. Tue Sep 19 09:51:30 2017 reduce to 114031609 relations and 103567392 ideals in 6 passes
  604. Tue Sep 19 09:51:30 2017 max relations containing the same ideal: 63
  605. Tue Sep 19 09:52:05 2017 removing 5692042 relations and 3692042 ideals in 2000000 cliques
  606. Tue Sep 19 09:52:08 2017 commencing in-memory singleton removal
  607. Tue Sep 19 09:52:14 2017 begin with 108339567 relations and 103567392 unique ideals
  608. Tue Sep 19 09:52:54 2017 reduce to 108127281 relations and 99659537 ideals in 6 passes
  609. Tue Sep 19 09:52:54 2017 max relations containing the same ideal: 61
  610. Tue Sep 19 09:53:28 2017 removing 5799570 relations and 3799570 ideals in 2000000 cliques
  611. Tue Sep 19 09:53:30 2017 commencing in-memory singleton removal
  612. Tue Sep 19 09:53:36 2017 begin with 102327711 relations and 99659537 unique ideals
  613. Tue Sep 19 09:54:13 2017 reduce to 102092152 relations and 95620349 ideals in 6 passes
  614. Tue Sep 19 09:54:13 2017 max relations containing the same ideal: 60
  615. Tue Sep 19 09:54:46 2017 removing 5786435 relations and 3841835 ideals in 1944600 cliques
  616. Tue Sep 19 09:54:48 2017 commencing in-memory singleton removal
  617. Tue Sep 19 09:54:53 2017 begin with 96305717 relations and 95620349 unique ideals
  618. Tue Sep 19 09:55:29 2017 reduce to 96050852 relations and 91519334 ideals in 6 passes
  619. Tue Sep 19 09:55:29 2017 max relations containing the same ideal: 57
  620. Tue Sep 19 09:56:12 2017 relations with 0 large ideals: 153603
  621. Tue Sep 19 09:56:12 2017 relations with 1 large ideals: 242502
  622. Tue Sep 19 09:56:12 2017 relations with 2 large ideals: 2094862
  623. Tue Sep 19 09:56:12 2017 relations with 3 large ideals: 8489848
  624. Tue Sep 19 09:56:12 2017 relations with 4 large ideals: 18947249
  625. Tue Sep 19 09:56:12 2017 relations with 5 large ideals: 25560274
  626. Tue Sep 19 09:56:12 2017 relations with 6 large ideals: 21878446
  627. Tue Sep 19 09:56:12 2017 relations with 7+ large ideals: 18684068
  628. Tue Sep 19 09:56:12 2017 commencing 2-way merge
  629. Tue Sep 19 09:56:56 2017 reduce to 67661414 relation sets and 63129896 unique ideals
  630. Tue Sep 19 09:56:56 2017 commencing full merge
  631. Tue Sep 19 10:16:38 2017 memory use: 7481.1 MB
  632. Tue Sep 19 10:16:45 2017 found 29820249 cycles, need 29340096
  633. Tue Sep 19 10:16:56 2017 weight of 29340096 cycles is about 3814680914 (130.02/cycle)
  634. Tue Sep 19 10:16:56 2017 distribution of cycle lengths:
  635. Tue Sep 19 10:16:56 2017 1 relations: 896088
  636. Tue Sep 19 10:16:56 2017 2 relations: 1316796
  637. Tue Sep 19 10:16:56 2017 3 relations: 1744011
  638. Tue Sep 19 10:16:56 2017 4 relations: 1999641
  639. Tue Sep 19 10:16:56 2017 5 relations: 2218575
  640. Tue Sep 19 10:16:56 2017 6 relations: 2318448
  641. Tue Sep 19 10:16:56 2017 7 relations: 2348807
  642. Tue Sep 19 10:16:56 2017 8 relations: 2293798
  643. Tue Sep 19 10:16:56 2017 9 relations: 2173364
  644. Tue Sep 19 10:16:56 2017 10+ relations: 12030568
  645. Tue Sep 19 10:16:56 2017 heaviest cycle: 28 relations
  646. Tue Sep 19 10:17:08 2017 commencing cycle optimization
  647. Tue Sep 19 10:18:09 2017 start with 261340835 relations
  648. Tue Sep 19 10:27:48 2017 pruned 14764583 relations
  649. Tue Sep 19 10:27:48 2017 memory use: 6654.1 MB
  650. Tue Sep 19 10:27:48 2017 distribution of cycle lengths:
  651. Tue Sep 19 10:27:48 2017 1 relations: 896088
  652. Tue Sep 19 10:27:48 2017 2 relations: 1357021
  653. Tue Sep 19 10:27:48 2017 3 relations: 1830359
  654. Tue Sep 19 10:27:48 2017 4 relations: 2111044
  655. Tue Sep 19 10:27:48 2017 5 relations: 2371575
  656. Tue Sep 19 10:27:48 2017 6 relations: 2483780
  657. Tue Sep 19 10:27:48 2017 7 relations: 2535056
  658. Tue Sep 19 10:27:48 2017 8 relations: 2464889
  659. Tue Sep 19 10:27:48 2017 9 relations: 2328152
  660. Tue Sep 19 10:27:48 2017 10+ relations: 10962132
  661. Tue Sep 19 10:27:48 2017 heaviest cycle: 27 relations
  662. Tue Sep 19 10:29:20 2017 RelProcTime: 76042
  663. Tue Sep 19 10:29:20 2017 elapsed time 21:07:39
  664. Tue Sep 19 12:03:45 2017
  665. Tue Sep 19 12:03:45 2017
  666. Tue Sep 19 12:03:45 2017 Msieve v. 1.53 (SVN 993M)
  667. Tue Sep 19 12:03:45 2017 random seeds: fcea84af b2227a4f
  668. Tue Sep 19 12:03:45 2017 MPI process 0 of 12
  669. Tue Sep 19 12:03:45 2017 factoring 33927504534476723516408816689812909770719932521618781773756995289471261780068216894657109048688644848466558715329703788016114249127096969960226894868006429336428695102577256482033601100297718050792231930859693133081358214479422873421598023360475055929769632226103912177557671593 (278 digits)
  670. Tue Sep 19 12:03:47 2017 no P-1/P+1/ECM available, skipping
  671. Tue Sep 19 12:03:48 2017 commencing number field sieve (278-digit input)
  672. Tue Sep 19 12:03:48 2017 R0: 2923003274661805836407369665432566039311865085952
  673. Tue Sep 19 12:03:48 2017 R1: -13098464280290651262885471684574127197265625000
  674. Tue Sep 19 12:03:48 2017 A0: 200
  675. Tue Sep 19 12:03:48 2017 A1: 0
  676. Tue Sep 19 12:03:48 2017 A2: 0
  677. Tue Sep 19 12:03:48 2017 A3: 0
  678. Tue Sep 19 12:03:48 2017 A4: 0
  679. Tue Sep 19 12:03:48 2017 A5: 0
  680. Tue Sep 19 12:03:48 2017 A6: 1
  681. Tue Sep 19 12:03:48 2017 skew 2.42, size 2.583e-14, alpha 0.527, combined = 7.116e-15 rroots = 0
  682. Tue Sep 19 12:03:48 2017
  683. Tue Sep 19 12:03:48 2017 commencing linear algebra
  684. Tue Sep 19 12:03:48 2017 initialized process (0,0) of 3 x 4 grid
  685. Tue Sep 19 12:04:06 2017 read 29340096 cycles
  686. Tue Sep 19 12:05:06 2017 cycles contain 94341569 unique relations
  687. Tue Sep 19 12:41:45 2017 read 94341569 relations
  688. Tue Sep 19 12:44:53 2017 using 20 quadratic characters above 4294917295
  689. Tue Sep 19 12:51:47 2017 building initial matrix
  690. Tue Sep 19 13:22:58 2017 memory use: 12713.7 MB
  691. Tue Sep 19 13:24:02 2017 read 29340096 cycles
  692. Tue Sep 19 13:24:07 2017 matrix is 29339918 x 29340096 (14609.3 MB) with weight 4164612830 (141.94/col)
  693. Tue Sep 19 13:24:07 2017 sparse part has weight 3506994333 (119.53/col)
  694. Tue Sep 19 13:30:57 2017 filtering completed in 2 passes
  695. Tue Sep 19 13:31:05 2017 matrix is 29338892 x 29339070 (14609.2 MB) with weight 4164572375 (141.95/col)
  696. Tue Sep 19 13:31:05 2017 sparse part has weight 3506975682 (119.53/col)
  697. Tue Sep 19 13:47:08 2017 matrix starts at (0, 0)
  698. Tue Sep 19 13:47:09 2017 matrix is 9779706 x 6998730 (1482.9 MB) with weight 465905443 (66.57/col)
  699. Tue Sep 19 13:47:09 2017 sparse part has weight 311738497 (44.54/col)
  700. Tue Sep 19 13:47:09 2017 saving the first 48 matrix rows for later
  701. Tue Sep 19 13:47:10 2017 matrix includes 64 packed rows
  702. Tue Sep 19 13:49:52 2017 matrix is 9779658 x 6998730 (1347.5 MB) with weight 335813605 (47.98/col)
  703. Tue Sep 19 13:49:52 2017 sparse part has weight 283245484 (40.47/col)
  704. Tue Sep 19 13:49:52 2017 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  705. Tue Sep 19 13:50:07 2017 commencing Lanczos iteration (20 threads)
  706. Tue Sep 19 13:50:07 2017 memory use: 1236.7 MB
  707. Tue Sep 19 13:50:20 2017 linear algebra at 0.0%, ETA 59h12m
  708. Tue Sep 19 13:50:24 2017 checkpointing every 490000 dimensions
  709. Fri Sep 22 01:17:07 2017 lanczos halted after 463949 iterations (dim = 29338840)
  710. Fri Sep 22 01:17:48 2017 recovered 34 nontrivial dependencies
  711. Fri Sep 22 01:17:54 2017 BLanczosTime: 220446
  712. Fri Sep 22 01:17:54 2017 elapsed time 61:14:09
  713. Fri Sep 22 01:17:57 2017
  714. Fri Sep 22 01:17:57 2017
  715. Fri Sep 22 01:17:57 2017 Msieve v. 1.53 (SVN 993M)
  716. Fri Sep 22 01:17:57 2017 random seeds: 060075d2 11956c88
  717. Fri Sep 22 01:17:57 2017 MPI process 0 of 1
  718. Fri Sep 22 01:17:57 2017 factoring 33927504534476723516408816689812909770719932521618781773756995289471261780068216894657109048688644848466558715329703788016114249127096969960226894868006429336428695102577256482033601100297718050792231930859693133081358214479422873421598023360475055929769632226103912177557671593 (278 digits)
  719. Fri Sep 22 01:17:59 2017 no P-1/P+1/ECM available, skipping
  720. Fri Sep 22 01:17:59 2017 commencing number field sieve (278-digit input)
  721. Fri Sep 22 01:18:00 2017 R0: 2923003274661805836407369665432566039311865085952
  722. Fri Sep 22 01:18:00 2017 R1: -13098464280290651262885471684574127197265625000
  723. Fri Sep 22 01:18:00 2017 A0: 200
  724. Fri Sep 22 01:18:00 2017 A1: 0
  725. Fri Sep 22 01:18:00 2017 A2: 0
  726. Fri Sep 22 01:18:00 2017 A3: 0
  727. Fri Sep 22 01:18:00 2017 A4: 0
  728. Fri Sep 22 01:18:00 2017 A5: 0
  729. Fri Sep 22 01:18:00 2017 A6: 1
  730. Fri Sep 22 01:18:00 2017 skew 2.42, size 2.583e-14, alpha 0.527, combined = 7.116e-15 rroots = 0
  731. Fri Sep 22 01:18:00 2017
  732. Fri Sep 22 01:18:00 2017 commencing square root phase
  733. Fri Sep 22 01:18:00 2017 reading relations for dependency 1
  734. Fri Sep 22 01:18:22 2017 read 14667037 cycles
  735. Fri Sep 22 01:18:50 2017 cycles contain 47165830 unique relations
  736. Fri Sep 22 01:43:00 2017 read 47165830 relations
  737. Fri Sep 22 01:46:35 2017 multiplying 47165830 relations
  738. Fri Sep 22 02:24:55 2017 multiply complete, coefficients have about 1304.57 million bits
  739. Fri Sep 22 02:25:00 2017 initial square root is modulo 711397
  740. Fri Sep 22 03:02:20 2017 sqrtTime: 6260
  741. Fri Sep 22 03:02:20 2017 p69 factor: 348018109213360124437028764970321873645281216434759709116828615883969
  742. Fri Sep 22 03:02:20 2017 p209 factor: 97487756057190471525031914256541357860598675873104379557419684991674793361620259005778496310087804512734876846334968949078436348776035316775376748109343540092021145569041171261365904359415952963542516378731497
  743. Fri Sep 22 03:02:20 2017 elapsed time 01:44:23
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