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gchilders
Jun 11th, 2026
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  1. Tue Jun 9 22:47:59 2026
  2. Tue Jun 9 22:47:59 2026
  3. Tue Jun 9 22:47:59 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jun 9 22:47:59 2026 random seeds: aab6831f 7168f46b
  5. Tue Jun 9 22:47:59 2026 MPI process 0 of 1
  6. Tue Jun 9 22:47:59 2026 Using 46 OpenMP threads
  7. Tue Jun 9 22:47:59 2026 factoring 30357155444614987257520839511062070680964954565759172391524331753628817272222550440652619624822391543575866671068817696900651617387259756717711604643033808386531785417570848235721181965696491002294044029724660727348905999331839188889704600102761501 (248 digits)
  8. Tue Jun 9 22:48:00 2026 no P-1/P+1/ECM available, skipping
  9. Tue Jun 9 22:48:00 2026 commencing number field sieve (248-digit input)
  10. Tue Jun 9 22:48:00 2026 R0: 20194839173657902218540251271239327479634084738790988922119140625
  11. Tue Jun 9 22:48:00 2026 R1: -49039857307708443467467104868809893875799651909875269632
  12. Tue Jun 9 22:48:00 2026 A0: 1
  13. Tue Jun 9 22:48:00 2026 A1: -5
  14. Tue Jun 9 22:48:00 2026 A2: 15
  15. Tue Jun 9 22:48:00 2026 A3: -25
  16. Tue Jun 9 22:48:00 2026 A4: 25
  17. Tue Jun 9 22:48:00 2026 skew 0.89, size 2.022e-26, alpha 1.426, combined = 1.030e-15 rroots = 0
  18. Tue Jun 9 22:48:00 2026
  19. Tue Jun 9 22:48:00 2026 commencing relation filtering
  20. Tue Jun 9 22:48:00 2026 setting target matrix density to 110.0
  21. Tue Jun 9 22:48:00 2026 estimated available RAM is 385608.3 MB
  22. Tue Jun 9 22:48:00 2026 commencing duplicate removal, pass 1
  23. Tue Jun 9 22:49:24 2026 error -1 reading relation 122211584
  24. Tue Jun 9 22:50:50 2026 error -11 reading relation 255092286
  25. Tue Jun 9 22:53:43 2026 error -15 reading relation 518815658
  26. Tue Jun 9 22:58:35 2026 error -5 reading relation 963787458
  27. Tue Jun 9 23:03:57 2026 error -1 reading relation 1445379943
  28. Tue Jun 9 23:05:18 2026 error -1 reading relation 1568835614
  29. Tue Jun 9 23:05:35 2026 error -11 reading relation 1594653463
  30. Tue Jun 9 23:05:54 2026 error -5 reading relation 1622825426
  31. Tue Jun 9 23:06:48 2026 error -11 reading relation 1703572009
  32. Tue Jun 9 23:07:18 2026 skipped 1155887 relations with b > 2^32
  33. Tue Jun 9 23:07:18 2026 skipped 2 relations with composite factors
  34. Tue Jun 9 23:07:18 2026 skipped 2216 malformed relations
  35. Tue Jun 9 23:07:18 2026 found 83105101 hash collisions in 1747212443 relations
  36. Tue Jun 9 23:07:23 2026 added 3657741 free relations
  37. Tue Jun 9 23:07:23 2026 commencing duplicate removal, pass 2
  38. Tue Jun 9 23:15:45 2026 found 0 duplicates and 1750870184 unique relations
  39. Tue Jun 9 23:15:45 2026 memory use: 6310.0 MB
  40. Tue Jun 9 23:15:45 2026 reading ideals above 737214464
  41. Tue Jun 9 23:15:45 2026 commencing singleton removal, initial pass
  42. Wed Jun 10 00:20:38 2026 memory use: 41024.0 MB
  43. Wed Jun 10 00:20:39 2026 reading all ideals from disk
  44. Wed Jun 10 00:21:13 2026 memory use: 45377.2 MB
  45. Wed Jun 10 00:22:44 2026 commencing in-memory singleton removal
  46. Wed Jun 10 00:22:52 2026 begin with 1750870184 relations and 1410674943 unique ideals
  47. Wed Jun 10 00:23:45 2026 reduce to 1170064191 relations and 777346475 ideals in 13 passes
  48. Wed Jun 10 00:23:45 2026 max relations containing the same ideal: 41
  49. Wed Jun 10 00:24:18 2026 reading ideals above 720000
  50. Wed Jun 10 00:24:19 2026 commencing singleton removal, initial pass
  51. Wed Jun 10 01:28:32 2026 memory use: 21024.0 MB
  52. Wed Jun 10 01:28:33 2026 reading all ideals from disk
  53. Wed Jun 10 01:29:19 2026 memory use: 61243.0 MB
  54. Wed Jun 10 01:31:59 2026 keeping 846753090 ideals with weight <= 200, target excess is 6746718
  55. Wed Jun 10 01:34:45 2026 commencing in-memory singleton removal
  56. Wed Jun 10 01:34:55 2026 begin with 1170064191 relations and 846753090 unique ideals
  57. Wed Jun 10 01:35:28 2026 reduce to 1170061866 relations and 846750765 ideals in 6 passes
  58. Wed Jun 10 01:35:28 2026 max relations containing the same ideal: 200
  59. Wed Jun 10 01:40:55 2026 removing 14733157 relations and 12733157 ideals in 2000000 cliques
  60. Wed Jun 10 01:41:21 2026 commencing in-memory singleton removal
  61. Wed Jun 10 01:41:31 2026 begin with 1155328709 relations and 846750765 unique ideals
  62. Wed Jun 10 01:42:12 2026 reduce to 1155201428 relations and 833890002 ideals in 8 passes
  63. Wed Jun 10 01:42:12 2026 max relations containing the same ideal: 200
  64. Wed Jun 10 01:47:22 2026 removing 11378862 relations and 9378862 ideals in 2000000 cliques
  65. Wed Jun 10 01:47:46 2026 commencing in-memory singleton removal
  66. Wed Jun 10 01:47:56 2026 begin with 1143822566 relations and 833890002 unique ideals
  67. Wed Jun 10 01:48:25 2026 reduce to 1143738529 relations and 824426911 ideals in 6 passes
  68. Wed Jun 10 01:48:25 2026 max relations containing the same ideal: 200
  69. Wed Jun 10 01:54:13 2026 removing 10258907 relations and 8258907 ideals in 2000000 cliques
  70. Wed Jun 10 01:54:36 2026 commencing in-memory singleton removal
  71. Wed Jun 10 01:54:46 2026 begin with 1133479622 relations and 824426911 unique ideals
  72. Wed Jun 10 01:55:13 2026 reduce to 1133408365 relations and 816096572 ideals in 6 passes
  73. Wed Jun 10 01:55:13 2026 max relations containing the same ideal: 200
  74. Wed Jun 10 02:00:22 2026 removing 9586021 relations and 7586021 ideals in 2000000 cliques
  75. Wed Jun 10 02:00:45 2026 commencing in-memory singleton removal
  76. Wed Jun 10 02:00:54 2026 begin with 1123822344 relations and 816096572 unique ideals
  77. Wed Jun 10 02:01:21 2026 reduce to 1123758160 relations and 808446232 ideals in 6 passes
  78. Wed Jun 10 02:01:21 2026 max relations containing the same ideal: 200
  79. Wed Jun 10 02:06:19 2026 removing 9111225 relations and 7111225 ideals in 2000000 cliques
  80. Wed Jun 10 02:06:40 2026 commencing in-memory singleton removal
  81. Wed Jun 10 02:06:50 2026 begin with 1114646935 relations and 808446232 unique ideals
  82. Wed Jun 10 02:07:17 2026 reduce to 1114587117 relations and 801275055 ideals in 6 passes
  83. Wed Jun 10 02:07:17 2026 max relations containing the same ideal: 200
  84. Wed Jun 10 02:12:11 2026 removing 8757049 relations and 6757049 ideals in 2000000 cliques
  85. Wed Jun 10 02:12:32 2026 commencing in-memory singleton removal
  86. Wed Jun 10 02:12:42 2026 begin with 1105830068 relations and 801275055 unique ideals
  87. Wed Jun 10 02:13:09 2026 reduce to 1105773383 relations and 794461178 ideals in 6 passes
  88. Wed Jun 10 02:13:09 2026 max relations containing the same ideal: 200
  89. Wed Jun 10 02:17:57 2026 removing 8467234 relations and 6467234 ideals in 2000000 cliques
  90. Wed Jun 10 02:18:18 2026 commencing in-memory singleton removal
  91. Wed Jun 10 02:18:28 2026 begin with 1097306149 relations and 794461178 unique ideals
  92. Wed Jun 10 02:18:56 2026 reduce to 1097251705 relations and 787939392 ideals in 6 passes
  93. Wed Jun 10 02:18:56 2026 max relations containing the same ideal: 199
  94. Wed Jun 10 02:23:41 2026 removing 8229627 relations and 6229627 ideals in 2000000 cliques
  95. Wed Jun 10 02:24:04 2026 commencing in-memory singleton removal
  96. Wed Jun 10 02:24:13 2026 begin with 1089022078 relations and 787939392 unique ideals
  97. Wed Jun 10 02:24:39 2026 reduce to 1088969841 relations and 781657432 ideals in 6 passes
  98. Wed Jun 10 02:24:39 2026 max relations containing the same ideal: 199
  99. Wed Jun 10 02:29:25 2026 removing 8034021 relations and 6034021 ideals in 2000000 cliques
  100. Wed Jun 10 02:29:46 2026 commencing in-memory singleton removal
  101. Wed Jun 10 02:29:55 2026 begin with 1080935820 relations and 781657432 unique ideals
  102. Wed Jun 10 02:30:22 2026 reduce to 1080885539 relations and 775573007 ideals in 6 passes
  103. Wed Jun 10 02:30:22 2026 max relations containing the same ideal: 199
  104. Wed Jun 10 02:35:02 2026 removing 7868571 relations and 5868571 ideals in 2000000 cliques
  105. Wed Jun 10 02:35:23 2026 commencing in-memory singleton removal
  106. Wed Jun 10 02:35:32 2026 begin with 1073016968 relations and 775573007 unique ideals
  107. Wed Jun 10 02:36:00 2026 reduce to 1072967955 relations and 769655298 ideals in 6 passes
  108. Wed Jun 10 02:36:00 2026 max relations containing the same ideal: 198
  109. Wed Jun 10 02:40:36 2026 removing 7719872 relations and 5719872 ideals in 2000000 cliques
  110. Wed Jun 10 02:40:57 2026 commencing in-memory singleton removal
  111. Wed Jun 10 02:41:06 2026 begin with 1065248083 relations and 769655298 unique ideals
  112. Wed Jun 10 02:41:32 2026 reduce to 1065199888 relations and 763887136 ideals in 6 passes
  113. Wed Jun 10 02:41:32 2026 max relations containing the same ideal: 198
  114. Wed Jun 10 02:46:13 2026 removing 7588998 relations and 5588998 ideals in 2000000 cliques
  115. Wed Jun 10 02:46:33 2026 commencing in-memory singleton removal
  116. Wed Jun 10 02:46:42 2026 begin with 1057610890 relations and 763887136 unique ideals
  117. Wed Jun 10 02:47:08 2026 reduce to 1057563427 relations and 758250544 ideals in 6 passes
  118. Wed Jun 10 02:47:08 2026 max relations containing the same ideal: 197
  119. Wed Jun 10 02:51:45 2026 removing 7477088 relations and 5477088 ideals in 2000000 cliques
  120. Wed Jun 10 02:52:06 2026 commencing in-memory singleton removal
  121. Wed Jun 10 02:52:17 2026 begin with 1050086339 relations and 758250544 unique ideals
  122. Wed Jun 10 02:52:39 2026 reduce to 1050039771 relations and 752726764 ideals in 5 passes
  123. Wed Jun 10 02:52:39 2026 max relations containing the same ideal: 196
  124. Wed Jun 10 02:57:05 2026 removing 7376472 relations and 5376472 ideals in 2000000 cliques
  125. Wed Jun 10 02:57:27 2026 commencing in-memory singleton removal
  126. Wed Jun 10 02:57:36 2026 begin with 1042663299 relations and 752726764 unique ideals
  127. Wed Jun 10 02:58:02 2026 reduce to 1042616720 relations and 747303616 ideals in 6 passes
  128. Wed Jun 10 02:58:02 2026 max relations containing the same ideal: 196
  129. Wed Jun 10 03:02:40 2026 removing 7279965 relations and 5279965 ideals in 2000000 cliques
  130. Wed Jun 10 03:03:01 2026 commencing in-memory singleton removal
  131. Wed Jun 10 03:03:09 2026 begin with 1035336755 relations and 747303616 unique ideals
  132. Wed Jun 10 03:03:34 2026 reduce to 1035290911 relations and 741977706 ideals in 6 passes
  133. Wed Jun 10 03:03:34 2026 max relations containing the same ideal: 194
  134. Wed Jun 10 03:08:02 2026 removing 7197514 relations and 5197514 ideals in 2000000 cliques
  135. Wed Jun 10 03:08:21 2026 commencing in-memory singleton removal
  136. Wed Jun 10 03:08:30 2026 begin with 1028093397 relations and 741977706 unique ideals
  137. Wed Jun 10 03:08:55 2026 reduce to 1028047733 relations and 736734394 ideals in 6 passes
  138. Wed Jun 10 03:08:55 2026 max relations containing the same ideal: 193
  139. Wed Jun 10 03:13:21 2026 removing 7126767 relations and 5126767 ideals in 2000000 cliques
  140. Wed Jun 10 03:13:41 2026 commencing in-memory singleton removal
  141. Wed Jun 10 03:13:49 2026 begin with 1020920966 relations and 736734394 unique ideals
  142. Wed Jun 10 03:14:14 2026 reduce to 1020876341 relations and 731562873 ideals in 6 passes
  143. Wed Jun 10 03:14:14 2026 max relations containing the same ideal: 193
  144. Wed Jun 10 03:18:33 2026 removing 7057042 relations and 5057042 ideals in 2000000 cliques
  145. Wed Jun 10 03:18:52 2026 commencing in-memory singleton removal
  146. Wed Jun 10 03:19:01 2026 begin with 1013819299 relations and 731562873 unique ideals
  147. Wed Jun 10 03:19:23 2026 reduce to 1013774493 relations and 726460870 ideals in 5 passes
  148. Wed Jun 10 03:19:23 2026 max relations containing the same ideal: 193
  149. Wed Jun 10 03:23:52 2026 removing 6992724 relations and 4992724 ideals in 2000000 cliques
  150. Wed Jun 10 03:24:11 2026 commencing in-memory singleton removal
  151. Wed Jun 10 03:24:19 2026 begin with 1006781769 relations and 726460870 unique ideals
  152. Wed Jun 10 03:24:43 2026 reduce to 1006736969 relations and 721423208 ideals in 6 passes
  153. Wed Jun 10 03:24:43 2026 max relations containing the same ideal: 193
  154. Wed Jun 10 03:29:07 2026 removing 6934208 relations and 4934208 ideals in 2000000 cliques
  155. Wed Jun 10 03:29:26 2026 commencing in-memory singleton removal
  156. Wed Jun 10 03:29:34 2026 begin with 999802761 relations and 721423208 unique ideals
  157. Wed Jun 10 03:29:58 2026 reduce to 999758108 relations and 716444186 ideals in 6 passes
  158. Wed Jun 10 03:29:58 2026 max relations containing the same ideal: 191
  159. Wed Jun 10 03:34:21 2026 removing 6882228 relations and 4882228 ideals in 2000000 cliques
  160. Wed Jun 10 03:34:39 2026 commencing in-memory singleton removal
  161. Wed Jun 10 03:34:48 2026 begin with 992875880 relations and 716444186 unique ideals
  162. Wed Jun 10 03:35:11 2026 reduce to 992832282 relations and 711518236 ideals in 6 passes
  163. Wed Jun 10 03:35:11 2026 max relations containing the same ideal: 191
  164. Wed Jun 10 03:39:31 2026 removing 6829053 relations and 4829053 ideals in 2000000 cliques
  165. Wed Jun 10 03:39:49 2026 commencing in-memory singleton removal
  166. Wed Jun 10 03:39:58 2026 begin with 986003229 relations and 711518236 unique ideals
  167. Wed Jun 10 03:40:21 2026 reduce to 985959281 relations and 706645089 ideals in 6 passes
  168. Wed Jun 10 03:40:21 2026 max relations containing the same ideal: 190
  169. Wed Jun 10 03:44:34 2026 removing 6781603 relations and 4781603 ideals in 2000000 cliques
  170. Wed Jun 10 03:44:52 2026 commencing in-memory singleton removal
  171. Wed Jun 10 03:45:01 2026 begin with 979177678 relations and 706645089 unique ideals
  172. Wed Jun 10 03:45:23 2026 reduce to 979133891 relations and 701819557 ideals in 5 passes
  173. Wed Jun 10 03:45:23 2026 max relations containing the same ideal: 188
  174. Wed Jun 10 03:49:32 2026 removing 6738629 relations and 4738629 ideals in 2000000 cliques
  175. Wed Jun 10 03:49:50 2026 commencing in-memory singleton removal
  176. Wed Jun 10 03:49:58 2026 begin with 972395262 relations and 701819557 unique ideals
  177. Wed Jun 10 03:50:22 2026 reduce to 972351551 relations and 697037062 ideals in 6 passes
  178. Wed Jun 10 03:50:22 2026 max relations containing the same ideal: 188
  179. Wed Jun 10 03:54:32 2026 removing 6695955 relations and 4695955 ideals in 2000000 cliques
  180. Wed Jun 10 03:54:51 2026 commencing in-memory singleton removal
  181. Wed Jun 10 03:54:59 2026 begin with 965655596 relations and 697037062 unique ideals
  182. Wed Jun 10 03:55:22 2026 reduce to 965611298 relations and 692296634 ideals in 6 passes
  183. Wed Jun 10 03:55:22 2026 max relations containing the same ideal: 187
  184. Wed Jun 10 03:59:31 2026 removing 6659524 relations and 4659524 ideals in 2000000 cliques
  185. Wed Jun 10 03:59:48 2026 commencing in-memory singleton removal
  186. Wed Jun 10 03:59:56 2026 begin with 958951774 relations and 692296634 unique ideals
  187. Wed Jun 10 04:00:19 2026 reduce to 958907313 relations and 687592492 ideals in 6 passes
  188. Wed Jun 10 04:00:19 2026 max relations containing the same ideal: 187
  189. Wed Jun 10 04:04:25 2026 removing 6619999 relations and 4619999 ideals in 2000000 cliques
  190. Wed Jun 10 04:04:43 2026 commencing in-memory singleton removal
  191. Wed Jun 10 04:04:51 2026 begin with 952287314 relations and 687592492 unique ideals
  192. Wed Jun 10 04:05:13 2026 reduce to 952243098 relations and 682928116 ideals in 6 passes
  193. Wed Jun 10 04:05:13 2026 max relations containing the same ideal: 187
  194. Wed Jun 10 04:09:20 2026 removing 6587823 relations and 4587823 ideals in 2000000 cliques
  195. Wed Jun 10 04:09:37 2026 commencing in-memory singleton removal
  196. Wed Jun 10 04:09:46 2026 begin with 945655275 relations and 682928116 unique ideals
  197. Wed Jun 10 04:10:06 2026 reduce to 945611308 relations and 678296146 ideals in 5 passes
  198. Wed Jun 10 04:10:06 2026 max relations containing the same ideal: 186
  199. Wed Jun 10 04:14:11 2026 removing 6553546 relations and 4553546 ideals in 2000000 cliques
  200. Wed Jun 10 04:14:28 2026 commencing in-memory singleton removal
  201. Wed Jun 10 04:14:36 2026 begin with 939057762 relations and 678296146 unique ideals
  202. Wed Jun 10 04:14:56 2026 reduce to 939013912 relations and 673698566 ideals in 5 passes
  203. Wed Jun 10 04:14:56 2026 max relations containing the same ideal: 185
  204. Wed Jun 10 04:18:59 2026 removing 6524913 relations and 4524913 ideals in 2000000 cliques
  205. Wed Jun 10 04:19:17 2026 commencing in-memory singleton removal
  206. Wed Jun 10 04:19:24 2026 begin with 932488999 relations and 673698566 unique ideals
  207. Wed Jun 10 04:19:44 2026 reduce to 932444752 relations and 669129218 ideals in 5 passes
  208. Wed Jun 10 04:19:44 2026 max relations containing the same ideal: 185
  209. Wed Jun 10 04:23:46 2026 removing 6495613 relations and 4495613 ideals in 2000000 cliques
  210. Wed Jun 10 04:24:03 2026 commencing in-memory singleton removal
  211. Wed Jun 10 04:24:11 2026 begin with 925949139 relations and 669129218 unique ideals
  212. Wed Jun 10 04:24:33 2026 reduce to 925905010 relations and 664589260 ideals in 6 passes
  213. Wed Jun 10 04:24:33 2026 max relations containing the same ideal: 185
  214. Wed Jun 10 04:28:32 2026 removing 6469415 relations and 4469415 ideals in 2000000 cliques
  215. Wed Jun 10 04:28:49 2026 commencing in-memory singleton removal
  216. Wed Jun 10 04:28:56 2026 begin with 919435595 relations and 664589260 unique ideals
  217. Wed Jun 10 04:29:15 2026 reduce to 919391297 relations and 660075335 ideals in 5 passes
  218. Wed Jun 10 04:29:15 2026 max relations containing the same ideal: 184
  219. Wed Jun 10 04:33:14 2026 removing 6437897 relations and 4437897 ideals in 2000000 cliques
  220. Wed Jun 10 04:33:31 2026 commencing in-memory singleton removal
  221. Wed Jun 10 04:33:39 2026 begin with 912953400 relations and 660075335 unique ideals
  222. Wed Jun 10 04:34:01 2026 reduce to 912908600 relations and 655592426 ideals in 6 passes
  223. Wed Jun 10 04:34:01 2026 max relations containing the same ideal: 183
  224. Wed Jun 10 04:37:49 2026 removing 6413742 relations and 4413742 ideals in 2000000 cliques
  225. Wed Jun 10 04:38:06 2026 commencing in-memory singleton removal
  226. Wed Jun 10 04:38:15 2026 begin with 906494858 relations and 655592426 unique ideals
  227. Wed Jun 10 04:38:34 2026 reduce to 906449812 relations and 651133394 ideals in 5 passes
  228. Wed Jun 10 04:38:34 2026 max relations containing the same ideal: 181
  229. Wed Jun 10 04:42:23 2026 removing 6393406 relations and 4393406 ideals in 2000000 cliques
  230. Wed Jun 10 04:42:40 2026 commencing in-memory singleton removal
  231. Wed Jun 10 04:42:48 2026 begin with 900056406 relations and 651133394 unique ideals
  232. Wed Jun 10 04:43:09 2026 reduce to 900011404 relations and 646694763 ideals in 6 passes
  233. Wed Jun 10 04:43:09 2026 max relations containing the same ideal: 180
  234. Wed Jun 10 04:46:57 2026 removing 6369205 relations and 4369205 ideals in 2000000 cliques
  235. Wed Jun 10 04:47:13 2026 commencing in-memory singleton removal
  236. Wed Jun 10 04:47:21 2026 begin with 893642199 relations and 646694763 unique ideals
  237. Wed Jun 10 04:47:42 2026 reduce to 893596965 relations and 642280086 ideals in 6 passes
  238. Wed Jun 10 04:47:42 2026 max relations containing the same ideal: 179
  239. Wed Jun 10 04:51:24 2026 removing 6349157 relations and 4349157 ideals in 2000000 cliques
  240. Wed Jun 10 04:51:41 2026 commencing in-memory singleton removal
  241. Wed Jun 10 04:51:49 2026 begin with 887247808 relations and 642280086 unique ideals
  242. Wed Jun 10 04:52:08 2026 reduce to 887202211 relations and 637885100 ideals in 5 passes
  243. Wed Jun 10 04:52:08 2026 max relations containing the same ideal: 179
  244. Wed Jun 10 04:55:49 2026 removing 6330168 relations and 4330168 ideals in 2000000 cliques
  245. Wed Jun 10 04:56:05 2026 commencing in-memory singleton removal
  246. Wed Jun 10 04:56:14 2026 begin with 880872043 relations and 637885100 unique ideals
  247. Wed Jun 10 04:56:33 2026 reduce to 880826752 relations and 633509390 ideals in 5 passes
  248. Wed Jun 10 04:56:33 2026 max relations containing the same ideal: 178
  249. Wed Jun 10 05:00:11 2026 removing 6306298 relations and 4306298 ideals in 2000000 cliques
  250. Wed Jun 10 05:00:27 2026 commencing in-memory singleton removal
  251. Wed Jun 10 05:00:34 2026 begin with 874520454 relations and 633509390 unique ideals
  252. Wed Jun 10 05:00:53 2026 reduce to 874474711 relations and 629157077 ideals in 5 passes
  253. Wed Jun 10 05:00:53 2026 max relations containing the same ideal: 178
  254. Wed Jun 10 05:04:29 2026 removing 6286644 relations and 4286644 ideals in 2000000 cliques
  255. Wed Jun 10 05:04:45 2026 commencing in-memory singleton removal
  256. Wed Jun 10 05:04:53 2026 begin with 868188067 relations and 629157077 unique ideals
  257. Wed Jun 10 05:05:14 2026 reduce to 868141769 relations and 624823879 ideals in 6 passes
  258. Wed Jun 10 05:05:14 2026 max relations containing the same ideal: 178
  259. Wed Jun 10 05:08:48 2026 removing 6269684 relations and 4269684 ideals in 2000000 cliques
  260. Wed Jun 10 05:09:04 2026 commencing in-memory singleton removal
  261. Wed Jun 10 05:09:12 2026 begin with 861872085 relations and 624823879 unique ideals
  262. Wed Jun 10 05:09:32 2026 reduce to 861825503 relations and 620507323 ideals in 6 passes
  263. Wed Jun 10 05:09:32 2026 max relations containing the same ideal: 178
  264. Wed Jun 10 05:13:05 2026 removing 6255124 relations and 4255124 ideals in 2000000 cliques
  265. Wed Jun 10 05:13:21 2026 commencing in-memory singleton removal
  266. Wed Jun 10 05:13:29 2026 begin with 855570379 relations and 620507323 unique ideals
  267. Wed Jun 10 05:13:46 2026 reduce to 855523848 relations and 616205387 ideals in 5 passes
  268. Wed Jun 10 05:13:46 2026 max relations containing the same ideal: 176
  269. Wed Jun 10 05:17:21 2026 removing 6235755 relations and 4235755 ideals in 2000000 cliques
  270. Wed Jun 10 05:17:36 2026 commencing in-memory singleton removal
  271. Wed Jun 10 05:17:44 2026 begin with 849288093 relations and 616205387 unique ideals
  272. Wed Jun 10 05:18:03 2026 reduce to 849241174 relations and 611922401 ideals in 6 passes
  273. Wed Jun 10 05:18:03 2026 max relations containing the same ideal: 176
  274. Wed Jun 10 05:21:37 2026 removing 6219294 relations and 4219294 ideals in 2000000 cliques
  275. Wed Jun 10 05:21:53 2026 commencing in-memory singleton removal
  276. Wed Jun 10 05:22:01 2026 begin with 843021880 relations and 611922401 unique ideals
  277. Wed Jun 10 05:22:19 2026 reduce to 842974325 relations and 607655236 ideals in 5 passes
  278. Wed Jun 10 05:22:19 2026 max relations containing the same ideal: 175
  279. Wed Jun 10 05:25:51 2026 removing 6205422 relations and 4205422 ideals in 2000000 cliques
  280. Wed Jun 10 05:26:07 2026 commencing in-memory singleton removal
  281. Wed Jun 10 05:26:14 2026 begin with 836768903 relations and 607655236 unique ideals
  282. Wed Jun 10 05:26:33 2026 reduce to 836721655 relations and 603402266 ideals in 6 passes
  283. Wed Jun 10 05:26:33 2026 max relations containing the same ideal: 175
  284. Wed Jun 10 05:30:05 2026 removing 6190014 relations and 4190014 ideals in 2000000 cliques
  285. Wed Jun 10 05:30:20 2026 commencing in-memory singleton removal
  286. Wed Jun 10 05:30:28 2026 begin with 830531641 relations and 603402266 unique ideals
  287. Wed Jun 10 05:30:45 2026 reduce to 830484101 relations and 599164377 ideals in 5 passes
  288. Wed Jun 10 05:30:45 2026 max relations containing the same ideal: 174
  289. Wed Jun 10 05:34:17 2026 removing 6177966 relations and 4177966 ideals in 2000000 cliques
  290. Wed Jun 10 05:34:32 2026 commencing in-memory singleton removal
  291. Wed Jun 10 05:34:39 2026 begin with 824306135 relations and 599164377 unique ideals
  292. Wed Jun 10 05:34:58 2026 reduce to 824257922 relations and 594937859 ideals in 6 passes
  293. Wed Jun 10 05:34:58 2026 max relations containing the same ideal: 174
  294. Wed Jun 10 05:38:27 2026 removing 6161893 relations and 4161893 ideals in 2000000 cliques
  295. Wed Jun 10 05:38:43 2026 commencing in-memory singleton removal
  296. Wed Jun 10 05:38:50 2026 begin with 818096029 relations and 594937859 unique ideals
  297. Wed Jun 10 05:39:09 2026 reduce to 818048015 relations and 590727646 ideals in 6 passes
  298. Wed Jun 10 05:39:09 2026 max relations containing the same ideal: 174
  299. Wed Jun 10 05:42:36 2026 removing 6150442 relations and 4150442 ideals in 2000000 cliques
  300. Wed Jun 10 05:42:52 2026 commencing in-memory singleton removal
  301. Wed Jun 10 05:42:59 2026 begin with 811897573 relations and 590727646 unique ideals
  302. Wed Jun 10 05:43:16 2026 reduce to 811848283 relations and 586527589 ideals in 5 passes
  303. Wed Jun 10 05:43:16 2026 max relations containing the same ideal: 171
  304. Wed Jun 10 05:46:47 2026 removing 6139135 relations and 4139135 ideals in 2000000 cliques
  305. Wed Jun 10 05:47:02 2026 commencing in-memory singleton removal
  306. Wed Jun 10 05:47:09 2026 begin with 805709148 relations and 586527589 unique ideals
  307. Wed Jun 10 05:47:28 2026 reduce to 805659937 relations and 582338904 ideals in 6 passes
  308. Wed Jun 10 05:47:28 2026 max relations containing the same ideal: 170
  309. Wed Jun 10 05:50:48 2026 removing 6129698 relations and 4129698 ideals in 2000000 cliques
  310. Wed Jun 10 05:51:03 2026 commencing in-memory singleton removal
  311. Wed Jun 10 05:51:10 2026 begin with 799530239 relations and 582338904 unique ideals
  312. Wed Jun 10 05:51:27 2026 reduce to 799480565 relations and 578159162 ideals in 5 passes
  313. Wed Jun 10 05:51:27 2026 max relations containing the same ideal: 170
  314. Wed Jun 10 05:54:44 2026 removing 6114598 relations and 4114598 ideals in 2000000 cliques
  315. Wed Jun 10 05:54:59 2026 commencing in-memory singleton removal
  316. Wed Jun 10 05:55:06 2026 begin with 793365967 relations and 578159162 unique ideals
  317. Wed Jun 10 05:55:26 2026 reduce to 793316363 relations and 573994604 ideals in 6 passes
  318. Wed Jun 10 05:55:26 2026 max relations containing the same ideal: 170
  319. Wed Jun 10 05:58:43 2026 removing 6104052 relations and 4104052 ideals in 2000000 cliques
  320. Wed Jun 10 05:58:57 2026 commencing in-memory singleton removal
  321. Wed Jun 10 05:59:04 2026 begin with 787212311 relations and 573994604 unique ideals
  322. Wed Jun 10 05:59:20 2026 reduce to 787162692 relations and 569840546 ideals in 5 passes
  323. Wed Jun 10 05:59:20 2026 max relations containing the same ideal: 168
  324. Wed Jun 10 06:03:02 2026 removing 6097221 relations and 4097221 ideals in 2000000 cliques
  325. Wed Jun 10 06:03:17 2026 commencing in-memory singleton removal
  326. Wed Jun 10 06:03:24 2026 begin with 781065471 relations and 569840546 unique ideals
  327. Wed Jun 10 06:03:42 2026 reduce to 781015211 relations and 565692721 ideals in 6 passes
  328. Wed Jun 10 06:03:42 2026 max relations containing the same ideal: 168
  329. Wed Jun 10 06:06:58 2026 removing 6082176 relations and 4082176 ideals in 2000000 cliques
  330. Wed Jun 10 06:07:12 2026 commencing in-memory singleton removal
  331. Wed Jun 10 06:07:19 2026 begin with 774933035 relations and 565692721 unique ideals
  332. Wed Jun 10 06:07:37 2026 reduce to 774882845 relations and 561559943 ideals in 6 passes
  333. Wed Jun 10 06:07:37 2026 max relations containing the same ideal: 165
  334. Wed Jun 10 06:10:54 2026 removing 6074163 relations and 4074163 ideals in 2000000 cliques
  335. Wed Jun 10 06:11:09 2026 commencing in-memory singleton removal
  336. Wed Jun 10 06:11:15 2026 begin with 768808682 relations and 561559943 unique ideals
  337. Wed Jun 10 06:11:34 2026 reduce to 768757712 relations and 557434373 ideals in 6 passes
  338. Wed Jun 10 06:11:34 2026 max relations containing the same ideal: 164
  339. Wed Jun 10 06:14:48 2026 removing 6063694 relations and 4063694 ideals in 2000000 cliques
  340. Wed Jun 10 06:15:02 2026 commencing in-memory singleton removal
  341. Wed Jun 10 06:15:09 2026 begin with 762694018 relations and 557434373 unique ideals
  342. Wed Jun 10 06:15:24 2026 reduce to 762642453 relations and 553318691 ideals in 5 passes
  343. Wed Jun 10 06:15:24 2026 max relations containing the same ideal: 164
  344. Wed Jun 10 06:18:35 2026 removing 6056234 relations and 4056234 ideals in 2000000 cliques
  345. Wed Jun 10 06:18:49 2026 commencing in-memory singleton removal
  346. Wed Jun 10 06:18:56 2026 begin with 756586219 relations and 553318691 unique ideals
  347. Wed Jun 10 06:19:12 2026 reduce to 756534640 relations and 549210444 ideals in 5 passes
  348. Wed Jun 10 06:19:12 2026 max relations containing the same ideal: 162
  349. Wed Jun 10 06:22:24 2026 removing 6047089 relations and 4047089 ideals in 2000000 cliques
  350. Wed Jun 10 06:22:38 2026 commencing in-memory singleton removal
  351. Wed Jun 10 06:22:44 2026 begin with 750487551 relations and 549210444 unique ideals
  352. Wed Jun 10 06:23:02 2026 reduce to 750435646 relations and 545111049 ideals in 6 passes
  353. Wed Jun 10 06:23:02 2026 max relations containing the same ideal: 161
  354. Wed Jun 10 06:26:10 2026 removing 6038104 relations and 4038104 ideals in 2000000 cliques
  355. Wed Jun 10 06:26:24 2026 commencing in-memory singleton removal
  356. Wed Jun 10 06:26:31 2026 begin with 744397542 relations and 545111049 unique ideals
  357. Wed Jun 10 06:26:46 2026 reduce to 744344965 relations and 541019917 ideals in 5 passes
  358. Wed Jun 10 06:26:46 2026 max relations containing the same ideal: 159
  359. Wed Jun 10 06:29:53 2026 removing 6033607 relations and 4033607 ideals in 2000000 cliques
  360. Wed Jun 10 06:30:07 2026 commencing in-memory singleton removal
  361. Wed Jun 10 06:30:14 2026 begin with 738311358 relations and 541019917 unique ideals
  362. Wed Jun 10 06:30:31 2026 reduce to 738258555 relations and 536933081 ideals in 6 passes
  363. Wed Jun 10 06:30:31 2026 max relations containing the same ideal: 159
  364. Wed Jun 10 06:33:36 2026 removing 6023252 relations and 4023252 ideals in 2000000 cliques
  365. Wed Jun 10 06:33:50 2026 commencing in-memory singleton removal
  366. Wed Jun 10 06:33:56 2026 begin with 732235303 relations and 536933081 unique ideals
  367. Wed Jun 10 06:34:12 2026 reduce to 732182324 relations and 532856410 ideals in 5 passes
  368. Wed Jun 10 06:34:12 2026 max relations containing the same ideal: 158
  369. Wed Jun 10 06:37:16 2026 removing 6015098 relations and 4015098 ideals in 2000000 cliques
  370. Wed Jun 10 06:37:29 2026 commencing in-memory singleton removal
  371. Wed Jun 10 06:37:35 2026 begin with 726167226 relations and 532856410 unique ideals
  372. Wed Jun 10 06:37:50 2026 reduce to 726114118 relations and 528787711 ideals in 5 passes
  373. Wed Jun 10 06:37:50 2026 max relations containing the same ideal: 157
  374. Wed Jun 10 06:40:52 2026 removing 6009406 relations and 4009406 ideals in 2000000 cliques
  375. Wed Jun 10 06:41:05 2026 commencing in-memory singleton removal
  376. Wed Jun 10 06:41:12 2026 begin with 720104712 relations and 528787711 unique ideals
  377. Wed Jun 10 06:41:26 2026 reduce to 720050961 relations and 524724083 ideals in 5 passes
  378. Wed Jun 10 06:41:26 2026 max relations containing the same ideal: 157
  379. Wed Jun 10 06:44:25 2026 removing 6003847 relations and 4003847 ideals in 2000000 cliques
  380. Wed Jun 10 06:44:38 2026 commencing in-memory singleton removal
  381. Wed Jun 10 06:44:44 2026 begin with 714047114 relations and 524724083 unique ideals
  382. Wed Jun 10 06:44:59 2026 reduce to 713992429 relations and 520665027 ideals in 5 passes
  383. Wed Jun 10 06:44:59 2026 max relations containing the same ideal: 155
  384. Wed Jun 10 06:47:58 2026 removing 5998595 relations and 3998595 ideals in 2000000 cliques
  385. Wed Jun 10 06:48:12 2026 commencing in-memory singleton removal
  386. Wed Jun 10 06:48:18 2026 begin with 707993834 relations and 520665027 unique ideals
  387. Wed Jun 10 06:48:35 2026 reduce to 707938816 relations and 516610924 ideals in 6 passes
  388. Wed Jun 10 06:48:35 2026 max relations containing the same ideal: 154
  389. Wed Jun 10 06:51:31 2026 removing 5993328 relations and 3993328 ideals in 2000000 cliques
  390. Wed Jun 10 06:51:44 2026 commencing in-memory singleton removal
  391. Wed Jun 10 06:51:50 2026 begin with 701945488 relations and 516610924 unique ideals
  392. Wed Jun 10 06:52:06 2026 reduce to 701889801 relations and 512561413 ideals in 6 passes
  393. Wed Jun 10 06:52:06 2026 max relations containing the same ideal: 154
  394. Wed Jun 10 06:54:59 2026 removing 5986270 relations and 3986270 ideals in 2000000 cliques
  395. Wed Jun 10 06:55:12 2026 commencing in-memory singleton removal
  396. Wed Jun 10 06:55:18 2026 begin with 695903531 relations and 512561413 unique ideals
  397. Wed Jun 10 06:55:32 2026 reduce to 695847631 relations and 508518779 ideals in 5 passes
  398. Wed Jun 10 06:55:32 2026 max relations containing the same ideal: 152
  399. Wed Jun 10 06:58:23 2026 removing 5981177 relations and 3981177 ideals in 2000000 cliques
  400. Wed Jun 10 06:58:36 2026 commencing in-memory singleton removal
  401. Wed Jun 10 06:58:42 2026 begin with 689866454 relations and 508518779 unique ideals
  402. Wed Jun 10 06:58:56 2026 reduce to 689810018 relations and 504480653 ideals in 5 passes
  403. Wed Jun 10 06:58:56 2026 max relations containing the same ideal: 151
  404. Wed Jun 10 07:01:48 2026 removing 5975591 relations and 3975591 ideals in 2000000 cliques
  405. Wed Jun 10 07:02:00 2026 commencing in-memory singleton removal
  406. Wed Jun 10 07:02:07 2026 begin with 683834427 relations and 504480653 unique ideals
  407. Wed Jun 10 07:02:22 2026 reduce to 683777479 relations and 500447575 ideals in 6 passes
  408. Wed Jun 10 07:02:22 2026 max relations containing the same ideal: 151
  409. Wed Jun 10 07:05:14 2026 removing 5970165 relations and 3970165 ideals in 2000000 cliques
  410. Wed Jun 10 07:05:27 2026 commencing in-memory singleton removal
  411. Wed Jun 10 07:05:33 2026 begin with 677807314 relations and 500447575 unique ideals
  412. Wed Jun 10 07:05:47 2026 reduce to 677750391 relations and 496419931 ideals in 5 passes
  413. Wed Jun 10 07:05:47 2026 max relations containing the same ideal: 151
  414. Wed Jun 10 07:08:34 2026 removing 5965001 relations and 3965001 ideals in 2000000 cliques
  415. Wed Jun 10 07:08:46 2026 commencing in-memory singleton removal
  416. Wed Jun 10 07:08:52 2026 begin with 671785390 relations and 496419931 unique ideals
  417. Wed Jun 10 07:09:07 2026 reduce to 671728301 relations and 492397290 ideals in 6 passes
  418. Wed Jun 10 07:09:07 2026 max relations containing the same ideal: 150
  419. Wed Jun 10 07:11:53 2026 removing 5965989 relations and 3965989 ideals in 2000000 cliques
  420. Wed Jun 10 07:12:06 2026 commencing in-memory singleton removal
  421. Wed Jun 10 07:12:12 2026 begin with 665762312 relations and 492397290 unique ideals
  422. Wed Jun 10 07:12:28 2026 reduce to 665704756 relations and 488373158 ideals in 6 passes
  423. Wed Jun 10 07:12:28 2026 max relations containing the same ideal: 150
  424. Wed Jun 10 07:15:13 2026 removing 5961353 relations and 3961353 ideals in 2000000 cliques
  425. Wed Jun 10 07:15:25 2026 commencing in-memory singleton removal
  426. Wed Jun 10 07:15:31 2026 begin with 659743403 relations and 488373158 unique ideals
  427. Wed Jun 10 07:15:46 2026 reduce to 659685203 relations and 484353011 ideals in 6 passes
  428. Wed Jun 10 07:15:46 2026 max relations containing the same ideal: 149
  429. Wed Jun 10 07:18:28 2026 removing 5957966 relations and 3957966 ideals in 2000000 cliques
  430. Wed Jun 10 07:18:40 2026 commencing in-memory singleton removal
  431. Wed Jun 10 07:18:46 2026 begin with 653727237 relations and 484353011 unique ideals
  432. Wed Jun 10 07:18:59 2026 reduce to 653669087 relations and 480336297 ideals in 5 passes
  433. Wed Jun 10 07:18:59 2026 max relations containing the same ideal: 149
  434. Wed Jun 10 07:21:39 2026 removing 5952279 relations and 3952279 ideals in 2000000 cliques
  435. Wed Jun 10 07:21:51 2026 commencing in-memory singleton removal
  436. Wed Jun 10 07:21:57 2026 begin with 647716808 relations and 480336297 unique ideals
  437. Wed Jun 10 07:22:10 2026 reduce to 647657730 relations and 476324405 ideals in 5 passes
  438. Wed Jun 10 07:22:10 2026 max relations containing the same ideal: 147
  439. Wed Jun 10 07:24:48 2026 removing 5951891 relations and 3951891 ideals in 2000000 cliques
  440. Wed Jun 10 07:25:00 2026 commencing in-memory singleton removal
  441. Wed Jun 10 07:25:06 2026 begin with 641705839 relations and 476324405 unique ideals
  442. Wed Jun 10 07:25:21 2026 reduce to 641646073 relations and 472312167 ideals in 6 passes
  443. Wed Jun 10 07:25:21 2026 max relations containing the same ideal: 145
  444. Wed Jun 10 07:28:00 2026 removing 5945369 relations and 3945369 ideals in 2000000 cliques
  445. Wed Jun 10 07:28:12 2026 commencing in-memory singleton removal
  446. Wed Jun 10 07:28:17 2026 begin with 635700704 relations and 472312167 unique ideals
  447. Wed Jun 10 07:28:32 2026 reduce to 635640149 relations and 468305620 ideals in 6 passes
  448. Wed Jun 10 07:28:32 2026 max relations containing the same ideal: 144
  449. Wed Jun 10 07:31:06 2026 removing 5943630 relations and 3943630 ideals in 2000000 cliques
  450. Wed Jun 10 07:31:18 2026 commencing in-memory singleton removal
  451. Wed Jun 10 07:31:23 2026 begin with 629696519 relations and 468305620 unique ideals
  452. Wed Jun 10 07:31:36 2026 reduce to 629635818 relations and 464300673 ideals in 5 passes
  453. Wed Jun 10 07:31:36 2026 max relations containing the same ideal: 144
  454. Wed Jun 10 07:34:08 2026 removing 5945844 relations and 3945844 ideals in 2000000 cliques
  455. Wed Jun 10 07:34:20 2026 commencing in-memory singleton removal
  456. Wed Jun 10 07:34:25 2026 begin with 623689974 relations and 464300673 unique ideals
  457. Wed Jun 10 07:34:40 2026 reduce to 623628471 relations and 460292659 ideals in 6 passes
  458. Wed Jun 10 07:34:40 2026 max relations containing the same ideal: 143
  459. Wed Jun 10 07:37:12 2026 removing 5941455 relations and 3941455 ideals in 2000000 cliques
  460. Wed Jun 10 07:37:23 2026 commencing in-memory singleton removal
  461. Wed Jun 10 07:37:28 2026 begin with 617687016 relations and 460292659 unique ideals
  462. Wed Jun 10 07:37:43 2026 reduce to 617625064 relations and 456288582 ideals in 6 passes
  463. Wed Jun 10 07:37:43 2026 max relations containing the same ideal: 142
  464. Wed Jun 10 07:40:11 2026 removing 5939072 relations and 3939072 ideals in 2000000 cliques
  465. Wed Jun 10 07:40:23 2026 commencing in-memory singleton removal
  466. Wed Jun 10 07:40:28 2026 begin with 611685992 relations and 456288582 unique ideals
  467. Wed Jun 10 07:40:42 2026 reduce to 611624125 relations and 452286896 ideals in 6 passes
  468. Wed Jun 10 07:40:42 2026 max relations containing the same ideal: 142
  469. Wed Jun 10 07:43:10 2026 removing 5938786 relations and 3938786 ideals in 2000000 cliques
  470. Wed Jun 10 07:43:23 2026 commencing in-memory singleton removal
  471. Wed Jun 10 07:43:28 2026 begin with 605685339 relations and 452286896 unique ideals
  472. Wed Jun 10 07:43:40 2026 reduce to 605622670 relations and 448284777 ideals in 5 passes
  473. Wed Jun 10 07:43:40 2026 max relations containing the same ideal: 140
  474. Wed Jun 10 07:46:05 2026 removing 5937030 relations and 3937030 ideals in 2000000 cliques
  475. Wed Jun 10 07:46:16 2026 commencing in-memory singleton removal
  476. Wed Jun 10 07:46:21 2026 begin with 599685640 relations and 448284777 unique ideals
  477. Wed Jun 10 07:46:35 2026 reduce to 599621868 relations and 444283313 ideals in 6 passes
  478. Wed Jun 10 07:46:35 2026 max relations containing the same ideal: 139
  479. Wed Jun 10 07:49:01 2026 removing 5934030 relations and 3934030 ideals in 2000000 cliques
  480. Wed Jun 10 07:49:12 2026 commencing in-memory singleton removal
  481. Wed Jun 10 07:49:17 2026 begin with 593687838 relations and 444283313 unique ideals
  482. Wed Jun 10 07:49:30 2026 reduce to 593624234 relations and 440285010 ideals in 6 passes
  483. Wed Jun 10 07:49:30 2026 max relations containing the same ideal: 138
  484. Wed Jun 10 07:51:54 2026 removing 5935955 relations and 3935955 ideals in 2000000 cliques
  485. Wed Jun 10 07:52:05 2026 commencing in-memory singleton removal
  486. Wed Jun 10 07:52:10 2026 begin with 587688279 relations and 440285010 unique ideals
  487. Wed Jun 10 07:52:23 2026 reduce to 587623845 relations and 436283919 ideals in 6 passes
  488. Wed Jun 10 07:52:23 2026 max relations containing the same ideal: 137
  489. Wed Jun 10 07:54:44 2026 removing 5934821 relations and 3934821 ideals in 2000000 cliques
  490. Wed Jun 10 07:54:55 2026 commencing in-memory singleton removal
  491. Wed Jun 10 07:55:00 2026 begin with 581689024 relations and 436283919 unique ideals
  492. Wed Jun 10 07:55:12 2026 reduce to 581623989 relations and 432283370 ideals in 5 passes
  493. Wed Jun 10 07:55:12 2026 max relations containing the same ideal: 136
  494. Wed Jun 10 07:57:46 2026 removing 5934761 relations and 3934761 ideals in 2000000 cliques
  495. Wed Jun 10 07:57:57 2026 commencing in-memory singleton removal
  496. Wed Jun 10 07:58:02 2026 begin with 575689228 relations and 432283370 unique ideals
  497. Wed Jun 10 07:58:14 2026 reduce to 575623987 relations and 428282644 ideals in 5 passes
  498. Wed Jun 10 07:58:14 2026 max relations containing the same ideal: 135
  499. Wed Jun 10 08:00:43 2026 removing 5935289 relations and 3935289 ideals in 2000000 cliques
  500. Wed Jun 10 08:00:54 2026 commencing in-memory singleton removal
  501. Wed Jun 10 08:00:59 2026 begin with 569688698 relations and 428282644 unique ideals
  502. Wed Jun 10 08:01:11 2026 reduce to 569622867 relations and 424280792 ideals in 5 passes
  503. Wed Jun 10 08:01:11 2026 max relations containing the same ideal: 134
  504. Wed Jun 10 08:03:22 2026 removing 5935152 relations and 3935152 ideals in 2000000 cliques
  505. Wed Jun 10 08:03:33 2026 commencing in-memory singleton removal
  506. Wed Jun 10 08:03:38 2026 begin with 563687715 relations and 424280792 unique ideals
  507. Wed Jun 10 08:03:51 2026 reduce to 563620663 relations and 420277857 ideals in 6 passes
  508. Wed Jun 10 08:03:51 2026 max relations containing the same ideal: 134
  509. Wed Jun 10 08:06:22 2026 removing 5937992 relations and 3937992 ideals in 2000000 cliques
  510. Wed Jun 10 08:06:32 2026 commencing in-memory singleton removal
  511. Wed Jun 10 08:06:37 2026 begin with 557682671 relations and 420277857 unique ideals
  512. Wed Jun 10 08:06:51 2026 reduce to 557614546 relations and 416270994 ideals in 6 passes
  513. Wed Jun 10 08:06:51 2026 max relations containing the same ideal: 131
  514. Wed Jun 10 08:08:53 2026 removing 5938108 relations and 3938108 ideals in 2000000 cliques
  515. Wed Jun 10 08:09:04 2026 commencing in-memory singleton removal
  516. Wed Jun 10 08:09:09 2026 begin with 551676438 relations and 416270994 unique ideals
  517. Wed Jun 10 08:09:20 2026 reduce to 551607959 relations and 412263589 ideals in 5 passes
  518. Wed Jun 10 08:09:20 2026 max relations containing the same ideal: 130
  519. Wed Jun 10 08:11:21 2026 removing 5939467 relations and 3939467 ideals in 2000000 cliques
  520. Wed Jun 10 08:11:31 2026 commencing in-memory singleton removal
  521. Wed Jun 10 08:11:36 2026 begin with 545668492 relations and 412263589 unique ideals
  522. Wed Jun 10 08:11:49 2026 reduce to 545599340 relations and 408254179 ideals in 6 passes
  523. Wed Jun 10 08:11:49 2026 max relations containing the same ideal: 129
  524. Wed Jun 10 08:13:50 2026 removing 5942177 relations and 3942177 ideals in 2000000 cliques
  525. Wed Jun 10 08:14:00 2026 commencing in-memory singleton removal
  526. Wed Jun 10 08:14:05 2026 begin with 539657163 relations and 408254179 unique ideals
  527. Wed Jun 10 08:14:17 2026 reduce to 539587876 relations and 404241909 ideals in 6 passes
  528. Wed Jun 10 08:14:17 2026 max relations containing the same ideal: 127
  529. Wed Jun 10 08:16:21 2026 removing 5945636 relations and 3945636 ideals in 2000000 cliques
  530. Wed Jun 10 08:16:31 2026 commencing in-memory singleton removal
  531. Wed Jun 10 08:16:36 2026 begin with 533642240 relations and 404241909 unique ideals
  532. Wed Jun 10 08:16:46 2026 reduce to 533572095 relations and 400225293 ideals in 5 passes
  533. Wed Jun 10 08:16:46 2026 max relations containing the same ideal: 127
  534. Wed Jun 10 08:18:46 2026 removing 5946037 relations and 3946037 ideals in 2000000 cliques
  535. Wed Jun 10 08:18:56 2026 commencing in-memory singleton removal
  536. Wed Jun 10 08:19:01 2026 begin with 527626058 relations and 400225293 unique ideals
  537. Wed Jun 10 08:19:12 2026 reduce to 527554611 relations and 396206959 ideals in 5 passes
  538. Wed Jun 10 08:19:12 2026 max relations containing the same ideal: 126
  539. Wed Jun 10 08:21:06 2026 removing 5948531 relations and 3948531 ideals in 2000000 cliques
  540. Wed Jun 10 08:21:16 2026 commencing in-memory singleton removal
  541. Wed Jun 10 08:21:21 2026 begin with 521606080 relations and 396206959 unique ideals
  542. Wed Jun 10 08:21:32 2026 reduce to 521533888 relations and 392185379 ideals in 5 passes
  543. Wed Jun 10 08:21:32 2026 max relations containing the same ideal: 125
  544. Wed Jun 10 08:23:26 2026 removing 5950761 relations and 3950761 ideals in 2000000 cliques
  545. Wed Jun 10 08:23:35 2026 commencing in-memory singleton removal
  546. Wed Jun 10 08:23:40 2026 begin with 515583127 relations and 392185379 unique ideals
  547. Wed Jun 10 08:23:52 2026 reduce to 515511079 relations and 388161778 ideals in 6 passes
  548. Wed Jun 10 08:23:52 2026 max relations containing the same ideal: 124
  549. Wed Jun 10 08:25:49 2026 removing 5955163 relations and 3955163 ideals in 2000000 cliques
  550. Wed Jun 10 08:25:58 2026 commencing in-memory singleton removal
  551. Wed Jun 10 08:26:03 2026 begin with 509555916 relations and 388161778 unique ideals
  552. Wed Jun 10 08:26:16 2026 reduce to 509483356 relations and 384133219 ideals in 7 passes
  553. Wed Jun 10 08:26:16 2026 max relations containing the same ideal: 123
  554. Wed Jun 10 08:28:11 2026 removing 5959751 relations and 3959751 ideals in 2000000 cliques
  555. Wed Jun 10 08:28:21 2026 commencing in-memory singleton removal
  556. Wed Jun 10 08:28:25 2026 begin with 503523605 relations and 384133219 unique ideals
  557. Wed Jun 10 08:28:37 2026 reduce to 503448881 relations and 380097872 ideals in 6 passes
  558. Wed Jun 10 08:28:37 2026 max relations containing the same ideal: 123
  559. Wed Jun 10 08:30:30 2026 removing 5964308 relations and 3964308 ideals in 2000000 cliques
  560. Wed Jun 10 08:30:40 2026 commencing in-memory singleton removal
  561. Wed Jun 10 08:30:44 2026 begin with 497484573 relations and 380097872 unique ideals
  562. Wed Jun 10 08:30:55 2026 reduce to 497409773 relations and 376057883 ideals in 5 passes
  563. Wed Jun 10 08:30:55 2026 max relations containing the same ideal: 122
  564. Wed Jun 10 08:32:48 2026 removing 5967127 relations and 3967127 ideals in 2000000 cliques
  565. Wed Jun 10 08:32:57 2026 commencing in-memory singleton removal
  566. Wed Jun 10 08:33:01 2026 begin with 491442646 relations and 376057883 unique ideals
  567. Wed Jun 10 08:33:13 2026 reduce to 491366734 relations and 372013955 ideals in 6 passes
  568. Wed Jun 10 08:33:13 2026 max relations containing the same ideal: 122
  569. Wed Jun 10 08:35:04 2026 removing 5971216 relations and 3971216 ideals in 2000000 cliques
  570. Wed Jun 10 08:35:14 2026 commencing in-memory singleton removal
  571. Wed Jun 10 08:35:18 2026 begin with 485395518 relations and 372013955 unique ideals
  572. Wed Jun 10 08:35:28 2026 reduce to 485318843 relations and 367965185 ideals in 5 passes
  573. Wed Jun 10 08:35:28 2026 max relations containing the same ideal: 121
  574. Wed Jun 10 08:37:19 2026 removing 5976608 relations and 3976608 ideals in 2000000 cliques
  575. Wed Jun 10 08:37:28 2026 commencing in-memory singleton removal
  576. Wed Jun 10 08:37:32 2026 begin with 479342235 relations and 367965185 unique ideals
  577. Wed Jun 10 08:37:42 2026 reduce to 479264612 relations and 363910014 ideals in 5 passes
  578. Wed Jun 10 08:37:42 2026 max relations containing the same ideal: 121
  579. Wed Jun 10 08:39:33 2026 removing 5981963 relations and 3981963 ideals in 2000000 cliques
  580. Wed Jun 10 08:39:42 2026 commencing in-memory singleton removal
  581. Wed Jun 10 08:39:46 2026 begin with 473282649 relations and 363910014 unique ideals
  582. Wed Jun 10 08:39:56 2026 reduce to 473203663 relations and 359848115 ideals in 5 passes
  583. Wed Jun 10 08:39:56 2026 max relations containing the same ideal: 120
  584. Wed Jun 10 08:41:45 2026 removing 5985255 relations and 3985255 ideals in 2000000 cliques
  585. Wed Jun 10 08:41:53 2026 commencing in-memory singleton removal
  586. Wed Jun 10 08:41:58 2026 begin with 467218408 relations and 359848115 unique ideals
  587. Wed Jun 10 08:42:09 2026 reduce to 467138901 relations and 355782400 ideals in 6 passes
  588. Wed Jun 10 08:42:09 2026 max relations containing the same ideal: 119
  589. Wed Jun 10 08:43:55 2026 removing 5992112 relations and 3992112 ideals in 2000000 cliques
  590. Wed Jun 10 08:44:04 2026 commencing in-memory singleton removal
  591. Wed Jun 10 08:44:08 2026 begin with 461146789 relations and 355782400 unique ideals
  592. Wed Jun 10 08:44:19 2026 reduce to 461066850 relations and 351709371 ideals in 6 passes
  593. Wed Jun 10 08:44:19 2026 max relations containing the same ideal: 119
  594. Wed Jun 10 08:46:02 2026 removing 5998743 relations and 3998743 ideals in 2000000 cliques
  595. Wed Jun 10 08:46:11 2026 commencing in-memory singleton removal
  596. Wed Jun 10 08:46:15 2026 begin with 455068107 relations and 351709371 unique ideals
  597. Wed Jun 10 08:46:26 2026 reduce to 454987009 relations and 347628495 ideals in 6 passes
  598. Wed Jun 10 08:46:26 2026 max relations containing the same ideal: 117
  599. Wed Jun 10 08:48:06 2026 removing 6005393 relations and 4005393 ideals in 2000000 cliques
  600. Wed Jun 10 08:48:15 2026 commencing in-memory singleton removal
  601. Wed Jun 10 08:48:19 2026 begin with 448981616 relations and 347628495 unique ideals
  602. Wed Jun 10 08:48:28 2026 reduce to 448899125 relations and 343539650 ideals in 5 passes
  603. Wed Jun 10 08:48:28 2026 max relations containing the same ideal: 116
  604. Wed Jun 10 08:50:08 2026 removing 6013148 relations and 4013148 ideals in 2000000 cliques
  605. Wed Jun 10 08:50:16 2026 commencing in-memory singleton removal
  606. Wed Jun 10 08:50:20 2026 begin with 442885977 relations and 343539650 unique ideals
  607. Wed Jun 10 08:50:30 2026 reduce to 442803495 relations and 339443023 ideals in 6 passes
  608. Wed Jun 10 08:50:30 2026 max relations containing the same ideal: 115
  609. Wed Jun 10 08:52:09 2026 removing 6020891 relations and 4020891 ideals in 2000000 cliques
  610. Wed Jun 10 08:52:17 2026 commencing in-memory singleton removal
  611. Wed Jun 10 08:52:21 2026 begin with 436782604 relations and 339443023 unique ideals
  612. Wed Jun 10 08:52:31 2026 reduce to 436698092 relations and 335336574 ideals in 6 passes
  613. Wed Jun 10 08:52:31 2026 max relations containing the same ideal: 115
  614. Wed Jun 10 08:54:09 2026 removing 6029876 relations and 4029876 ideals in 2000000 cliques
  615. Wed Jun 10 08:54:17 2026 commencing in-memory singleton removal
  616. Wed Jun 10 08:54:21 2026 begin with 430668216 relations and 335336574 unique ideals
  617. Wed Jun 10 08:54:32 2026 reduce to 430582309 relations and 331219718 ideals in 7 passes
  618. Wed Jun 10 08:54:32 2026 max relations containing the same ideal: 113
  619. Wed Jun 10 08:56:08 2026 removing 6041824 relations and 4041824 ideals in 2000000 cliques
  620. Wed Jun 10 08:56:16 2026 commencing in-memory singleton removal
  621. Wed Jun 10 08:56:20 2026 begin with 424540485 relations and 331219718 unique ideals
  622. Wed Jun 10 08:56:29 2026 reduce to 424454901 relations and 327091235 ideals in 6 passes
  623. Wed Jun 10 08:56:29 2026 max relations containing the same ideal: 112
  624. Wed Jun 10 08:58:05 2026 removing 6047024 relations and 4047024 ideals in 2000000 cliques
  625. Wed Jun 10 08:58:13 2026 commencing in-memory singleton removal
  626. Wed Jun 10 08:58:17 2026 begin with 418407877 relations and 327091235 unique ideals
  627. Wed Jun 10 08:58:27 2026 reduce to 418320175 relations and 322955402 ideals in 6 passes
  628. Wed Jun 10 08:58:27 2026 max relations containing the same ideal: 110
  629. Wed Jun 10 09:00:02 2026 removing 6055898 relations and 4055898 ideals in 2000000 cliques
  630. Wed Jun 10 09:00:09 2026 commencing in-memory singleton removal
  631. Wed Jun 10 09:00:13 2026 begin with 412264277 relations and 322955402 unique ideals
  632. Wed Jun 10 09:00:23 2026 reduce to 412176174 relations and 318810323 ideals in 6 passes
  633. Wed Jun 10 09:00:23 2026 max relations containing the same ideal: 110
  634. Wed Jun 10 09:02:03 2026 removing 6068038 relations and 4068038 ideals in 2000000 cliques
  635. Wed Jun 10 09:02:11 2026 commencing in-memory singleton removal
  636. Wed Jun 10 09:02:15 2026 begin with 406108136 relations and 318810323 unique ideals
  637. Wed Jun 10 09:02:24 2026 reduce to 406017918 relations and 314650945 ideals in 6 passes
  638. Wed Jun 10 09:02:24 2026 max relations containing the same ideal: 108
  639. Wed Jun 10 09:03:56 2026 removing 6079037 relations and 4079037 ideals in 2000000 cliques
  640. Wed Jun 10 09:04:03 2026 commencing in-memory singleton removal
  641. Wed Jun 10 09:04:07 2026 begin with 399938881 relations and 314650945 unique ideals
  642. Wed Jun 10 09:04:15 2026 reduce to 399847398 relations and 310479298 ideals in 5 passes
  643. Wed Jun 10 09:04:15 2026 max relations containing the same ideal: 108
  644. Wed Jun 10 09:05:48 2026 removing 6089546 relations and 4089546 ideals in 2000000 cliques
  645. Wed Jun 10 09:05:56 2026 commencing in-memory singleton removal
  646. Wed Jun 10 09:05:59 2026 begin with 393757852 relations and 310479298 unique ideals
  647. Wed Jun 10 09:06:07 2026 reduce to 393665563 relations and 306296294 ideals in 5 passes
  648. Wed Jun 10 09:06:07 2026 max relations containing the same ideal: 106
  649. Wed Jun 10 09:07:40 2026 removing 6100633 relations and 4100633 ideals in 2000000 cliques
  650. Wed Jun 10 09:07:47 2026 commencing in-memory singleton removal
  651. Wed Jun 10 09:07:51 2026 begin with 387564930 relations and 306296294 unique ideals
  652. Wed Jun 10 09:07:59 2026 reduce to 387470721 relations and 302100269 ideals in 5 passes
  653. Wed Jun 10 09:07:59 2026 max relations containing the same ideal: 105
  654. Wed Jun 10 09:09:30 2026 removing 6115046 relations and 4115046 ideals in 2000000 cliques
  655. Wed Jun 10 09:09:37 2026 commencing in-memory singleton removal
  656. Wed Jun 10 09:09:41 2026 begin with 381355675 relations and 302100269 unique ideals
  657. Wed Jun 10 09:09:49 2026 reduce to 381259793 relations and 297888135 ideals in 5 passes
  658. Wed Jun 10 09:09:49 2026 max relations containing the same ideal: 105
  659. Wed Jun 10 09:11:19 2026 removing 6132207 relations and 4132207 ideals in 2000000 cliques
  660. Wed Jun 10 09:11:26 2026 commencing in-memory singleton removal
  661. Wed Jun 10 09:11:30 2026 begin with 375127586 relations and 297888135 unique ideals
  662. Wed Jun 10 09:11:38 2026 reduce to 375030878 relations and 293658009 ideals in 6 passes
  663. Wed Jun 10 09:11:38 2026 max relations containing the same ideal: 104
  664. Wed Jun 10 09:13:07 2026 removing 6145650 relations and 4145650 ideals in 2000000 cliques
  665. Wed Jun 10 09:13:14 2026 commencing in-memory singleton removal
  666. Wed Jun 10 09:13:18 2026 begin with 368885228 relations and 293658009 unique ideals
  667. Wed Jun 10 09:13:26 2026 reduce to 368787612 relations and 289413490 ideals in 6 passes
  668. Wed Jun 10 09:13:26 2026 max relations containing the same ideal: 102
  669. Wed Jun 10 09:14:54 2026 removing 6159050 relations and 4159050 ideals in 2000000 cliques
  670. Wed Jun 10 09:15:01 2026 commencing in-memory singleton removal
  671. Wed Jun 10 09:15:04 2026 begin with 362628562 relations and 289413490 unique ideals
  672. Wed Jun 10 09:15:12 2026 reduce to 362528508 relations and 285153209 ideals in 6 passes
  673. Wed Jun 10 09:15:12 2026 max relations containing the same ideal: 101
  674. Wed Jun 10 09:16:38 2026 removing 6177524 relations and 4177524 ideals in 2000000 cliques
  675. Wed Jun 10 09:16:45 2026 commencing in-memory singleton removal
  676. Wed Jun 10 09:16:48 2026 begin with 356350984 relations and 285153209 unique ideals
  677. Wed Jun 10 09:16:56 2026 reduce to 356248852 relations and 280872313 ideals in 6 passes
  678. Wed Jun 10 09:16:56 2026 max relations containing the same ideal: 99
  679. Wed Jun 10 09:18:21 2026 removing 6194613 relations and 4194613 ideals in 2000000 cliques
  680. Wed Jun 10 09:18:28 2026 commencing in-memory singleton removal
  681. Wed Jun 10 09:18:32 2026 begin with 350054239 relations and 280872313 unique ideals
  682. Wed Jun 10 09:18:39 2026 reduce to 349950924 relations and 276573158 ideals in 6 passes
  683. Wed Jun 10 09:18:39 2026 max relations containing the same ideal: 99
  684. Wed Jun 10 09:20:03 2026 removing 6211607 relations and 4211607 ideals in 2000000 cliques
  685. Wed Jun 10 09:20:10 2026 commencing in-memory singleton removal
  686. Wed Jun 10 09:20:13 2026 begin with 343739317 relations and 276573158 unique ideals
  687. Wed Jun 10 09:20:21 2026 reduce to 343634357 relations and 272255300 ideals in 6 passes
  688. Wed Jun 10 09:20:21 2026 max relations containing the same ideal: 98
  689. Wed Jun 10 09:21:43 2026 removing 6229914 relations and 4229914 ideals in 2000000 cliques
  690. Wed Jun 10 09:21:50 2026 commencing in-memory singleton removal
  691. Wed Jun 10 09:21:53 2026 begin with 337404443 relations and 272255300 unique ideals
  692. Wed Jun 10 09:22:00 2026 reduce to 337297085 relations and 267916716 ideals in 6 passes
  693. Wed Jun 10 09:22:00 2026 max relations containing the same ideal: 96
  694. Wed Jun 10 09:23:19 2026 removing 6248787 relations and 4248787 ideals in 2000000 cliques
  695. Wed Jun 10 09:23:26 2026 commencing in-memory singleton removal
  696. Wed Jun 10 09:23:28 2026 begin with 331048298 relations and 267916716 unique ideals
  697. Wed Jun 10 09:23:36 2026 reduce to 330939620 relations and 263557836 ideals in 6 passes
  698. Wed Jun 10 09:23:36 2026 max relations containing the same ideal: 95
  699. Wed Jun 10 09:24:53 2026 removing 6269614 relations and 4269614 ideals in 2000000 cliques
  700. Wed Jun 10 09:24:59 2026 commencing in-memory singleton removal
  701. Wed Jun 10 09:25:02 2026 begin with 324670006 relations and 263557836 unique ideals
  702. Wed Jun 10 09:25:10 2026 reduce to 324559395 relations and 259176236 ideals in 6 passes
  703. Wed Jun 10 09:25:10 2026 max relations containing the same ideal: 95
  704. Wed Jun 10 09:26:25 2026 removing 6290267 relations and 4290267 ideals in 2000000 cliques
  705. Wed Jun 10 09:26:32 2026 commencing in-memory singleton removal
  706. Wed Jun 10 09:26:35 2026 begin with 318269128 relations and 259176236 unique ideals
  707. Wed Jun 10 09:26:42 2026 reduce to 318155590 relations and 254771074 ideals in 6 passes
  708. Wed Jun 10 09:26:42 2026 max relations containing the same ideal: 95
  709. Wed Jun 10 09:27:56 2026 removing 6312992 relations and 4312992 ideals in 2000000 cliques
  710. Wed Jun 10 09:28:02 2026 commencing in-memory singleton removal
  711. Wed Jun 10 09:28:05 2026 begin with 311842598 relations and 254771074 unique ideals
  712. Wed Jun 10 09:28:12 2026 reduce to 311727090 relations and 250341101 ideals in 6 passes
  713. Wed Jun 10 09:28:12 2026 max relations containing the same ideal: 94
  714. Wed Jun 10 09:29:25 2026 removing 6340174 relations and 4340174 ideals in 2000000 cliques
  715. Wed Jun 10 09:29:31 2026 commencing in-memory singleton removal
  716. Wed Jun 10 09:29:34 2026 begin with 305386916 relations and 250341101 unique ideals
  717. Wed Jun 10 09:29:41 2026 reduce to 305268939 relations and 245881574 ideals in 6 passes
  718. Wed Jun 10 09:29:41 2026 max relations containing the same ideal: 92
  719. Wed Jun 10 09:30:57 2026 removing 6359252 relations and 4359252 ideals in 2000000 cliques
  720. Wed Jun 10 09:31:03 2026 commencing in-memory singleton removal
  721. Wed Jun 10 09:31:06 2026 begin with 298909687 relations and 245881574 unique ideals
  722. Wed Jun 10 09:31:13 2026 reduce to 298789337 relations and 241400483 ideals in 6 passes
  723. Wed Jun 10 09:31:13 2026 max relations containing the same ideal: 90
  724. Wed Jun 10 09:32:24 2026 removing 6386978 relations and 4386978 ideals in 2000000 cliques
  725. Wed Jun 10 09:32:30 2026 commencing in-memory singleton removal
  726. Wed Jun 10 09:32:32 2026 begin with 292402359 relations and 241400483 unique ideals
  727. Wed Jun 10 09:32:39 2026 reduce to 292279188 relations and 236888830 ideals in 6 passes
  728. Wed Jun 10 09:32:39 2026 max relations containing the same ideal: 88
  729. Wed Jun 10 09:33:48 2026 removing 6416017 relations and 4416017 ideals in 2000000 cliques
  730. Wed Jun 10 09:33:53 2026 commencing in-memory singleton removal
  731. Wed Jun 10 09:33:56 2026 begin with 285863171 relations and 236888830 unique ideals
  732. Wed Jun 10 09:34:03 2026 reduce to 285738057 relations and 232346189 ideals in 6 passes
  733. Wed Jun 10 09:34:03 2026 max relations containing the same ideal: 87
  734. Wed Jun 10 09:35:10 2026 removing 6445344 relations and 4445344 ideals in 2000000 cliques
  735. Wed Jun 10 09:35:16 2026 commencing in-memory singleton removal
  736. Wed Jun 10 09:35:18 2026 begin with 279292713 relations and 232346189 unique ideals
  737. Wed Jun 10 09:35:25 2026 reduce to 279163440 relations and 227770055 ideals in 7 passes
  738. Wed Jun 10 09:35:25 2026 max relations containing the same ideal: 84
  739. Wed Jun 10 09:36:31 2026 removing 6478273 relations and 4478273 ideals in 2000000 cliques
  740. Wed Jun 10 09:36:37 2026 commencing in-memory singleton removal
  741. Wed Jun 10 09:36:39 2026 begin with 272685167 relations and 227770055 unique ideals
  742. Wed Jun 10 09:36:45 2026 reduce to 272552823 relations and 223157859 ideals in 6 passes
  743. Wed Jun 10 09:36:45 2026 max relations containing the same ideal: 83
  744. Wed Jun 10 09:37:50 2026 removing 6510660 relations and 4510660 ideals in 2000000 cliques
  745. Wed Jun 10 09:37:56 2026 commencing in-memory singleton removal
  746. Wed Jun 10 09:37:58 2026 begin with 266042163 relations and 223157859 unique ideals
  747. Wed Jun 10 09:38:04 2026 reduce to 265905929 relations and 218509362 ideals in 6 passes
  748. Wed Jun 10 09:38:04 2026 max relations containing the same ideal: 83
  749. Wed Jun 10 09:39:08 2026 removing 6545709 relations and 4545709 ideals in 2000000 cliques
  750. Wed Jun 10 09:39:13 2026 commencing in-memory singleton removal
  751. Wed Jun 10 09:39:16 2026 begin with 259360220 relations and 218509362 unique ideals
  752. Wed Jun 10 09:39:21 2026 reduce to 259220516 relations and 213822215 ideals in 6 passes
  753. Wed Jun 10 09:39:21 2026 max relations containing the same ideal: 82
  754. Wed Jun 10 09:40:23 2026 removing 6581996 relations and 4581996 ideals in 2000000 cliques
  755. Wed Jun 10 09:40:29 2026 commencing in-memory singleton removal
  756. Wed Jun 10 09:40:31 2026 begin with 252638520 relations and 213822215 unique ideals
  757. Wed Jun 10 09:40:37 2026 reduce to 252494866 relations and 209094809 ideals in 7 passes
  758. Wed Jun 10 09:40:37 2026 max relations containing the same ideal: 80
  759. Wed Jun 10 09:41:38 2026 removing 6621632 relations and 4621632 ideals in 2000000 cliques
  760. Wed Jun 10 09:41:43 2026 commencing in-memory singleton removal
  761. Wed Jun 10 09:41:45 2026 begin with 245873234 relations and 209094809 unique ideals
  762. Wed Jun 10 09:41:50 2026 reduce to 245725479 relations and 204323644 ideals in 6 passes
  763. Wed Jun 10 09:41:50 2026 max relations containing the same ideal: 78
  764. Wed Jun 10 09:42:50 2026 removing 6658061 relations and 4658061 ideals in 2000000 cliques
  765. Wed Jun 10 09:42:55 2026 commencing in-memory singleton removal
  766. Wed Jun 10 09:42:57 2026 begin with 239067418 relations and 204323644 unique ideals
  767. Wed Jun 10 09:43:02 2026 reduce to 238916244 relations and 199512590 ideals in 6 passes
  768. Wed Jun 10 09:43:02 2026 max relations containing the same ideal: 77
  769. Wed Jun 10 09:43:59 2026 removing 6706875 relations and 4706875 ideals in 2000000 cliques
  770. Wed Jun 10 09:44:04 2026 commencing in-memory singleton removal
  771. Wed Jun 10 09:44:06 2026 begin with 232209369 relations and 199512590 unique ideals
  772. Wed Jun 10 09:44:11 2026 reduce to 232052743 relations and 194647219 ideals in 6 passes
  773. Wed Jun 10 09:44:11 2026 max relations containing the same ideal: 74
  774. Wed Jun 10 09:45:06 2026 removing 6748131 relations and 4748131 ideals in 2000000 cliques
  775. Wed Jun 10 09:45:11 2026 commencing in-memory singleton removal
  776. Wed Jun 10 09:45:13 2026 begin with 225304612 relations and 194647219 unique ideals
  777. Wed Jun 10 09:45:19 2026 reduce to 225142465 relations and 189735014 ideals in 7 passes
  778. Wed Jun 10 09:45:19 2026 max relations containing the same ideal: 74
  779. Wed Jun 10 09:46:12 2026 removing 6797830 relations and 4797830 ideals in 2000000 cliques
  780. Wed Jun 10 09:46:17 2026 commencing in-memory singleton removal
  781. Wed Jun 10 09:46:19 2026 begin with 218344635 relations and 189735014 unique ideals
  782. Wed Jun 10 09:46:24 2026 reduce to 218177737 relations and 184768306 ideals in 6 passes
  783. Wed Jun 10 09:46:24 2026 max relations containing the same ideal: 72
  784. Wed Jun 10 09:47:16 2026 removing 6846175 relations and 4846175 ideals in 2000000 cliques
  785. Wed Jun 10 09:47:21 2026 commencing in-memory singleton removal
  786. Wed Jun 10 09:47:22 2026 begin with 211331562 relations and 184768306 unique ideals
  787. Wed Jun 10 09:47:27 2026 reduce to 211157459 relations and 179745941 ideals in 6 passes
  788. Wed Jun 10 09:47:27 2026 max relations containing the same ideal: 70
  789. Wed Jun 10 09:48:18 2026 removing 6903822 relations and 4903822 ideals in 2000000 cliques
  790. Wed Jun 10 09:48:22 2026 commencing in-memory singleton removal
  791. Wed Jun 10 09:48:24 2026 begin with 204253637 relations and 179745941 unique ideals
  792. Wed Jun 10 09:48:29 2026 reduce to 204073879 relations and 174660226 ideals in 8 passes
  793. Wed Jun 10 09:48:29 2026 max relations containing the same ideal: 68
  794. Wed Jun 10 09:49:19 2026 removing 6956607 relations and 4956607 ideals in 2000000 cliques
  795. Wed Jun 10 09:49:23 2026 commencing in-memory singleton removal
  796. Wed Jun 10 09:49:25 2026 begin with 197117272 relations and 174660226 unique ideals
  797. Wed Jun 10 09:49:29 2026 reduce to 196928230 relations and 169512300 ideals in 6 passes
  798. Wed Jun 10 09:49:29 2026 max relations containing the same ideal: 65
  799. Wed Jun 10 09:50:17 2026 removing 7020104 relations and 5020104 ideals in 2000000 cliques
  800. Wed Jun 10 09:50:22 2026 commencing in-memory singleton removal
  801. Wed Jun 10 09:50:23 2026 begin with 189908126 relations and 169512300 unique ideals
  802. Wed Jun 10 09:50:28 2026 reduce to 189711691 relations and 164293431 ideals in 6 passes
  803. Wed Jun 10 09:50:28 2026 max relations containing the same ideal: 65
  804. Wed Jun 10 09:51:14 2026 removing 7086932 relations and 5086932 ideals in 2000000 cliques
  805. Wed Jun 10 09:51:18 2026 commencing in-memory singleton removal
  806. Wed Jun 10 09:51:20 2026 begin with 182624759 relations and 164293431 unique ideals
  807. Wed Jun 10 09:51:24 2026 reduce to 182419750 relations and 158999033 ideals in 7 passes
  808. Wed Jun 10 09:51:24 2026 max relations containing the same ideal: 64
  809. Wed Jun 10 09:52:09 2026 removing 7153203 relations and 5153203 ideals in 2000000 cliques
  810. Wed Jun 10 09:52:13 2026 commencing in-memory singleton removal
  811. Wed Jun 10 09:52:14 2026 begin with 175266547 relations and 158999033 unique ideals
  812. Wed Jun 10 09:52:19 2026 reduce to 175052058 relations and 153628725 ideals in 7 passes
  813. Wed Jun 10 09:52:19 2026 max relations containing the same ideal: 64
  814. Wed Jun 10 09:53:02 2026 removing 7226787 relations and 5226787 ideals in 2000000 cliques
  815. Wed Jun 10 09:53:06 2026 commencing in-memory singleton removal
  816. Wed Jun 10 09:53:07 2026 begin with 167825271 relations and 153628725 unique ideals
  817. Wed Jun 10 09:53:11 2026 reduce to 167598344 relations and 148172252 ideals in 7 passes
  818. Wed Jun 10 09:53:11 2026 max relations containing the same ideal: 63
  819. Wed Jun 10 09:53:53 2026 removing 7302420 relations and 5302420 ideals in 2000000 cliques
  820. Wed Jun 10 09:53:57 2026 commencing in-memory singleton removal
  821. Wed Jun 10 09:53:58 2026 begin with 160295924 relations and 148172252 unique ideals
  822. Wed Jun 10 09:54:02 2026 reduce to 160056052 relations and 142627088 ideals in 6 passes
  823. Wed Jun 10 09:54:02 2026 max relations containing the same ideal: 60
  824. Wed Jun 10 09:54:42 2026 removing 7387431 relations and 5387431 ideals in 2000000 cliques
  825. Wed Jun 10 09:54:46 2026 commencing in-memory singleton removal
  826. Wed Jun 10 09:54:47 2026 begin with 152668621 relations and 142627088 unique ideals
  827. Wed Jun 10 09:54:51 2026 reduce to 152414471 relations and 136982383 ideals in 7 passes
  828. Wed Jun 10 09:54:51 2026 max relations containing the same ideal: 57
  829. Wed Jun 10 09:55:29 2026 removing 7483932 relations and 5483932 ideals in 2000000 cliques
  830. Wed Jun 10 09:55:32 2026 commencing in-memory singleton removal
  831. Wed Jun 10 09:55:34 2026 begin with 144930539 relations and 136982383 unique ideals
  832. Wed Jun 10 09:55:37 2026 reduce to 144660807 relations and 131225359 ideals in 7 passes
  833. Wed Jun 10 09:55:37 2026 max relations containing the same ideal: 56
  834. Wed Jun 10 09:56:14 2026 removing 7578527 relations and 5578527 ideals in 2000000 cliques
  835. Wed Jun 10 09:56:17 2026 commencing in-memory singleton removal
  836. Wed Jun 10 09:56:19 2026 begin with 137082280 relations and 131225359 unique ideals
  837. Wed Jun 10 09:56:22 2026 reduce to 136791087 relations and 125351799 ideals in 7 passes
  838. Wed Jun 10 09:56:22 2026 max relations containing the same ideal: 54
  839. Wed Jun 10 09:56:57 2026 removing 7682271 relations and 5682271 ideals in 2000000 cliques
  840. Wed Jun 10 09:57:00 2026 commencing in-memory singleton removal
  841. Wed Jun 10 09:57:02 2026 begin with 129108816 relations and 125351799 unique ideals
  842. Wed Jun 10 09:57:05 2026 reduce to 128794527 relations and 119351101 ideals in 7 passes
  843. Wed Jun 10 09:57:05 2026 max relations containing the same ideal: 52
  844. Wed Jun 10 09:57:38 2026 removing 6525950 relations and 4908717 ideals in 1617233 cliques
  845. Wed Jun 10 09:57:41 2026 commencing in-memory singleton removal
  846. Wed Jun 10 09:57:43 2026 begin with 122268577 relations and 119351101 unique ideals
  847. Wed Jun 10 09:57:46 2026 reduce to 122026140 relations and 114197199 ideals in 7 passes
  848. Wed Jun 10 09:57:46 2026 max relations containing the same ideal: 50
  849. Wed Jun 10 09:58:27 2026 relations with 0 large ideals: 491320
  850. Wed Jun 10 09:58:27 2026 relations with 1 large ideals: 406747
  851. Wed Jun 10 09:58:27 2026 relations with 2 large ideals: 3541626
  852. Wed Jun 10 09:58:27 2026 relations with 3 large ideals: 13829434
  853. Wed Jun 10 09:58:27 2026 relations with 4 large ideals: 29212344
  854. Wed Jun 10 09:58:27 2026 relations with 5 large ideals: 36339986
  855. Wed Jun 10 09:58:27 2026 relations with 6 large ideals: 24339488
  856. Wed Jun 10 09:58:27 2026 relations with 7+ large ideals: 13865195
  857. Wed Jun 10 09:58:27 2026 commencing 2-way merge
  858. Wed Jun 10 09:59:15 2026 reduce to 75417628 relation sets and 67588687 unique ideals
  859. Wed Jun 10 09:59:15 2026 commencing full merge
  860. Wed Jun 10 10:13:47 2026 memory use: 8112.1 MB
  861. Wed Jun 10 10:13:53 2026 found 35794891 cycles, need 34796887
  862. Wed Jun 10 10:14:03 2026 weight of 34796887 cycles is about 3827729307 (110.00/cycle)
  863. Wed Jun 10 10:14:04 2026 distribution of cycle lengths:
  864. Wed Jun 10 10:14:04 2026 1 relations: 2376722
  865. Wed Jun 10 10:14:04 2026 2 relations: 2292955
  866. Wed Jun 10 10:14:04 2026 3 relations: 2489511
  867. Wed Jun 10 10:14:04 2026 4 relations: 2571673
  868. Wed Jun 10 10:14:04 2026 5 relations: 2622517
  869. Wed Jun 10 10:14:04 2026 6 relations: 2658319
  870. Wed Jun 10 10:14:04 2026 7 relations: 2630382
  871. Wed Jun 10 10:14:04 2026 8 relations: 2544351
  872. Wed Jun 10 10:14:04 2026 9 relations: 2400536
  873. Wed Jun 10 10:14:04 2026 10+ relations: 12209921
  874. Wed Jun 10 10:14:04 2026 heaviest cycle: 27 relations
  875. Wed Jun 10 10:14:15 2026 commencing cycle optimization
  876. Wed Jun 10 10:15:15 2026 start with 275496225 relations
  877. Wed Jun 10 10:21:49 2026 pruned 10546679 relations
  878. Wed Jun 10 10:21:49 2026 memory use: 7770.8 MB
  879. Wed Jun 10 10:21:49 2026 distribution of cycle lengths:
  880. Wed Jun 10 10:21:49 2026 1 relations: 2376722
  881. Wed Jun 10 10:21:49 2026 2 relations: 2337252
  882. Wed Jun 10 10:21:49 2026 3 relations: 2581068
  883. Wed Jun 10 10:21:49 2026 4 relations: 2668482
  884. Wed Jun 10 10:21:49 2026 5 relations: 2746663
  885. Wed Jun 10 10:21:49 2026 6 relations: 2783343
  886. Wed Jun 10 10:21:49 2026 7 relations: 2765688
  887. Wed Jun 10 10:21:49 2026 8 relations: 2666352
  888. Wed Jun 10 10:21:49 2026 9 relations: 2511328
  889. Wed Jun 10 10:21:49 2026 10+ relations: 11359989
  890. Wed Jun 10 10:21:49 2026 heaviest cycle: 26 relations
  891. Wed Jun 10 10:22:49 2026 RelProcTime: 41689
  892. Wed Jun 10 10:22:53 2026 elapsed time 11:34:54
  893. Wed Jun 10 10:22:54 2026
  894. Wed Jun 10 10:22:54 2026
  895. Wed Jun 10 10:22:54 2026 Msieve v. 1.54 (SVN Unversioned directory)
  896. Wed Jun 10 10:22:54 2026 random seeds: 3519fdd0 941bd799
  897. Wed Jun 10 10:22:54 2026 MPI process 0 of 1
  898. Wed Jun 10 10:22:54 2026 Using 46 OpenMP threads
  899. Wed Jun 10 10:22:54 2026 factoring 30357155444614987257520839511062070680964954565759172391524331753628817272222550440652619624822391543575866671068817696900651617387259756717711604643033808386531785417570848235721181965696491002294044029724660727348905999331839188889704600102761501 (248 digits)
  900. Wed Jun 10 10:22:55 2026 no P-1/P+1/ECM available, skipping
  901. Wed Jun 10 10:22:55 2026 commencing number field sieve (248-digit input)
  902. Wed Jun 10 10:22:55 2026 R0: 20194839173657902218540251271239327479634084738790988922119140625
  903. Wed Jun 10 10:22:55 2026 R1: -49039857307708443467467104868809893875799651909875269632
  904. Wed Jun 10 10:22:55 2026 A0: 1
  905. Wed Jun 10 10:22:55 2026 A1: -5
  906. Wed Jun 10 10:22:55 2026 A2: 15
  907. Wed Jun 10 10:22:55 2026 A3: -25
  908. Wed Jun 10 10:22:55 2026 A4: 25
  909. Wed Jun 10 10:22:55 2026 skew 0.89, size 2.022e-26, alpha 1.426, combined = 1.030e-15 rroots = 0
  910. Wed Jun 10 10:22:55 2026
  911. Wed Jun 10 10:22:55 2026 commencing linear algebra
  912. Wed Jun 10 10:22:55 2026 using VBITS=256
  913. Wed Jun 10 10:22:55 2026 stopping after matrix build
  914. Wed Jun 10 10:22:55 2026 initialized process (0,0) of 1 x 1 grid
  915. Wed Jun 10 10:22:59 2026 read 34796887 cycles
  916. Wed Jun 10 10:24:12 2026 cycles contain 118051061 unique relations
  917. Wed Jun 10 10:26:33 2026 read 118051061 relations
  918. Wed Jun 10 10:26:44 2026 using 20 quadratic characters above 4294917295
  919. Wed Jun 10 10:26:58 2026 building initial matrix
  920. Wed Jun 10 10:45:24 2026 memory use: 14918.6 MB
  921. Wed Jun 10 10:45:57 2026 read 34796887 cycles
  922. Wed Jun 10 10:46:01 2026 matrix is 34796700 x 34796887 (15309.7 MB) with weight 4353561096 (125.11/col)
  923. Wed Jun 10 10:46:01 2026 sparse part has weight 3630567650 (104.34/col)
  924. Wed Jun 10 10:55:18 2026 filtering completed in 2 passes
  925. Wed Jun 10 10:55:24 2026 matrix is 34791054 x 34791223 (15309.0 MB) with weight 4353345722 (125.13/col)
  926. Wed Jun 10 10:55:24 2026 sparse part has weight 3630466232 (104.35/col)
  927. Wed Jun 10 10:57:05 2026 BLanczosTime: 2050
  928. Wed Jun 10 10:57:05 2026 elapsed time 00:34:11
  929. Wed Jun 10 12:44:53 2026
  930. Wed Jun 10 12:44:53 2026
  931. Wed Jun 10 12:44:53 2026 Msieve v. 1.54 (SVN Unversioned directory)
  932. Wed Jun 10 12:44:53 2026 random seeds: e218e08b baa5dd84
  933. Wed Jun 10 12:44:53 2026 MPI process 0 of 2
  934. Wed Jun 10 12:44:53 2026 Using 6 OpenMP threads
  935. Wed Jun 10 12:44:53 2026 factoring 30357155444614987257520839511062070680964954565759172391524331753628817272222550440652619624822391543575866671068817696900651617387259756717711604643033808386531785417570848235721181965696491002294044029724660727348905999331839188889704600102761501 (248 digits)
  936. Wed Jun 10 12:44:54 2026 no P-1/P+1/ECM available, skipping
  937. Wed Jun 10 12:44:54 2026 commencing number field sieve (248-digit input)
  938. Wed Jun 10 12:44:54 2026 R0: 20194839173657902218540251271239327479634084738790988922119140625
  939. Wed Jun 10 12:44:54 2026 R1: -49039857307708443467467104868809893875799651909875269632
  940. Wed Jun 10 12:44:54 2026 A0: 1
  941. Wed Jun 10 12:44:54 2026 A1: -5
  942. Wed Jun 10 12:44:54 2026 A2: 15
  943. Wed Jun 10 12:44:54 2026 A3: -25
  944. Wed Jun 10 12:44:54 2026 A4: 25
  945. Wed Jun 10 12:44:54 2026 skew 0.89, size 2.022e-26, alpha 1.426, combined = 1.030e-15 rroots = 0
  946. Wed Jun 10 12:44:54 2026
  947. Wed Jun 10 12:44:54 2026 commencing linear algebra
  948. Wed Jun 10 12:44:54 2026 using VBITS=256
  949. Wed Jun 10 12:44:54 2026 skipping matrix build
  950. Wed Jun 10 12:44:54 2026 initialized process (0,0) of 1 x 2 grid
  951. Wed Jun 10 12:45:08 2026 matrix starts at (0, 0)
  952. Wed Jun 10 12:45:10 2026 matrix is 34791054 x 17395620 (7654.5 MB) with weight 2176694719 (125.13/col)
  953. Wed Jun 10 12:45:10 2026 sparse part has weight 1815233278 (104.35/col)
  954. Wed Jun 10 12:45:10 2026 saving the first 240 matrix rows for later
  955. Wed Jun 10 12:45:15 2026 matrix includes 256 packed rows
  956. Wed Jun 10 12:45:19 2026 matrix is 34790814 x 17395620 (7129.4 MB) with weight 1666928435 (95.82/col)
  957. Wed Jun 10 12:45:19 2026 sparse part has weight 1590594793 (91.44/col)
  958. Wed Jun 10 12:45:19 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  959. Wed Jun 10 12:45:19 2026 selected card has CUDA arch 8.0
  960. Wed Jun 10 12:48:13 2026 commencing Lanczos iteration
  961. Wed Jun 10 12:48:16 2026 memory use: 18173.9 MB
  962. Wed Jun 10 12:48:53 2026 linear algebra at 0.1%, ETA 11h 1m
  963. Wed Jun 10 12:49:45 2026 checking every 50000 dimensions, checkpointing every 3200000 dimensions
  964. Wed Jun 10 23:42:35 2026 lanczos halted after 136309 iterations (dim = 34790812)
  965. Wed Jun 10 23:44:31 2026 recovered 37 nontrivial dependencies
  966. Wed Jun 10 23:44:32 2026 BLanczosTime: 39578
  967. Wed Jun 10 23:44:32 2026 elapsed time 10:59:39
  968. Wed Jun 10 23:44:33 2026
  969. Wed Jun 10 23:44:33 2026
  970. Wed Jun 10 23:44:33 2026 Msieve v. 1.54 (SVN Unversioned directory)
  971. Wed Jun 10 23:44:33 2026 random seeds: 60caed10 ffc94244
  972. Wed Jun 10 23:44:33 2026 MPI process 0 of 1
  973. Wed Jun 10 23:44:33 2026 Using 32 OpenMP threads
  974. Wed Jun 10 23:44:33 2026 factoring 30357155444614987257520839511062070680964954565759172391524331753628817272222550440652619624822391543575866671068817696900651617387259756717711604643033808386531785417570848235721181965696491002294044029724660727348905999331839188889704600102761501 (248 digits)
  975. Wed Jun 10 23:44:34 2026 no P-1/P+1/ECM available, skipping
  976. Wed Jun 10 23:44:34 2026 commencing number field sieve (248-digit input)
  977. Wed Jun 10 23:44:34 2026 R0: 20194839173657902218540251271239327479634084738790988922119140625
  978. Wed Jun 10 23:44:34 2026 R1: -49039857307708443467467104868809893875799651909875269632
  979. Wed Jun 10 23:44:34 2026 A0: 1
  980. Wed Jun 10 23:44:34 2026 A1: -5
  981. Wed Jun 10 23:44:34 2026 A2: 15
  982. Wed Jun 10 23:44:34 2026 A3: -25
  983. Wed Jun 10 23:44:34 2026 A4: 25
  984. Wed Jun 10 23:44:34 2026 skew 0.89, size 2.022e-26, alpha 1.426, combined = 1.030e-15 rroots = 0
  985. Wed Jun 10 23:44:34 2026
  986. Wed Jun 10 23:44:34 2026 commencing square root phase
  987. Wed Jun 10 23:44:34 2026 reading relations for dependency 1
  988. Wed Jun 10 23:44:37 2026 read 17397748 cycles
  989. Wed Jun 10 23:45:08 2026 cycles contain 59027712 unique relations
  990. Wed Jun 10 23:46:45 2026 read 59027712 relations
  991. Wed Jun 10 23:49:55 2026 multiplying 59027712 relations
  992. Wed Jun 10 23:52:01 2026 multiply complete, coefficients have about 1914.81 million bits
  993. Wed Jun 10 23:52:05 2026 initial square root is modulo 388427863
  994. Wed Jun 10 23:59:52 2026 sqrtTime: 918
  995. Wed Jun 10 23:59:52 2026 p97 factor: 3030937596123857003837106149932821226207787581579113914219331926967163862930042495624444780477701
  996. Wed Jun 10 23:59:52 2026 p152 factor: 10015763928441654641775175672734944868472452618919173639085608147308138520144724666754299166274671779923784828247353113807702289866008365229201853023801
  997. Wed Jun 10 23:59:52 2026 elapsed time 00:15:19
  998.  
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