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L1508.msieve.log

Serge_Batalov
Mar 14th, 2026
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  1. At 97%
  2. 1,246,686,777
  3. 62,551,887 expected
  4. Found 1010906433 unique, 235780335 duplicate, and 9 bad relations.
  5. Largest dimension used: 3352 of 5600
  6. Average dimension used: 3085.1 of 5600
  7.  
  8. At 100 %
  9. 1,327,218,566
  10. 7,830,699 expected
  11. using increment
  12. Found 79407630 unique, 941329 duplicate, and 0 bad relations.
  13. Largest dimension used: 319 of 3500
  14. Average dimension used: 242.3 of 3500
  15.  
  16. Thu Mar 12 00:11:43 2026 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  17. Thu Mar 12 00:11:43 2026 random seeds: ce28cc44 f2fadf6d
  18. Thu Mar 12 00:11:43 2026 factoring 134745990790319107358163605144443681996319978169412062289760587988248935919997105532387192326788770452645832786049149033205267168788871893780228963420067203265815163549793239168833758365179509093629779831770778288364726669667853340123630290721 (243 digits)
  19. Thu Mar 12 00:11:44 2026 no P-1/P+1/ECM available, skipping
  20. Thu Mar 12 00:11:44 2026 commencing number field sieve (243-digit input)
  21. Thu Mar 12 00:11:44 2026 R0: -3055853556350837655459279396087381991302033064847
  22. Thu Mar 12 00:11:44 2026 R1: 1
  23. Thu Mar 12 00:11:44 2026 A0: -1
  24. Thu Mar 12 00:11:44 2026 A1: -3
  25. Thu Mar 12 00:11:44 2026 A2: 6
  26. Thu Mar 12 00:11:44 2026 A3: 4
  27. Thu Mar 12 00:11:44 2026 A4: -5
  28. Thu Mar 12 00:11:44 2026 A5: -1
  29. Thu Mar 12 00:11:44 2026 A6: 1
  30. Thu Mar 12 00:11:44 2026 skew 1.39, size 3.161e-14, alpha 3.126, combined = 7.984e-15 rroots = 6
  31. Thu Mar 12 00:11:44 2026
  32. Thu Mar 12 00:11:44 2026 commencing relation filtering
  33. Thu Mar 12 00:11:44 2026 setting target matrix density to 125.0
  34. Thu Mar 12 00:11:44 2026 estimated available RAM is 1031034.1 MB
  35. Thu Mar 12 00:11:45 2026 commencing duplicate removal, pass 1
  36. Thu Mar 12 06:43:35 2026 skipped 59925 relations with b > 2^32
  37. Thu Mar 12 06:43:35 2026 skipped 1 relations with composite factors
  38. Thu Mar 12 06:43:35 2026 found 81410210 hash collisions in 1090254131 relations
  39. Thu Mar 12 06:44:06 2026 added 2438358 free relations
  40. Thu Mar 12 06:44:07 2026 commencing duplicate removal, pass 2
  41. Thu Mar 12 07:24:53 2026 found 22706832 duplicates and 1069985657 unique relations
  42. Thu Mar 12 07:24:53 2026 memory use: 3411.0 MB
  43. Thu Mar 12 07:24:54 2026 reading ideals above 720000
  44. Thu Mar 12 07:24:54 2026 commencing singleton removal, initial pass
  45. Thu Mar 12 15:50:59 2026 memory use: 21024.0 MB
  46. Thu Mar 12 15:50:59 2026 reading all ideals from disk
  47. Thu Mar 12 15:51:12 2026 memory use: 55824.4 MB
  48. Thu Mar 12 15:52:37 2026 keeping 921199589 ideals with weight <= 200, target excess is 6029042
  49. Thu Mar 12 15:54:20 2026 commencing in-memory singleton removal
  50. Thu Mar 12 15:55:50 2026 begin with 1069985657 relations and 921199589 unique ideals
  51. Thu Mar 12 16:04:23 2026 reduce to 711088142 relations and 528059752 ideals in 13 passes
  52. Thu Mar 12 16:04:23 2026 max relations containing the same ideal: 164
  53. Thu Mar 12 16:07:37 2026 removing 14031936 relations and 12031936 ideals in 2000000 cliques
  54. Thu Mar 12 16:07:50 2026 commencing in-memory singleton removal
  55. Thu Mar 12 16:08:43 2026 begin with 697056206 relations and 528059752 unique ideals
  56. Thu Mar 12 16:12:20 2026 reduce to 696863740 relations and 515834490 ideals in 7 passes
  57. Thu Mar 12 16:12:20 2026 max relations containing the same ideal: 163
  58. Thu Mar 12 16:15:29 2026 removing 10721595 relations and 8721595 ideals in 2000000 cliques
  59. Thu Mar 12 16:15:41 2026 commencing in-memory singleton removal
  60. Thu Mar 12 16:16:34 2026 begin with 686142145 relations and 515834490 unique ideals
  61. Thu Mar 12 16:20:07 2026 reduce to 686015992 relations and 506986311 ideals in 7 passes
  62. Thu Mar 12 16:20:07 2026 max relations containing the same ideal: 162
  63. Thu Mar 12 16:23:10 2026 removing 9638671 relations and 7638671 ideals in 2000000 cliques
  64. Thu Mar 12 16:23:23 2026 commencing in-memory singleton removal
  65. Thu Mar 12 16:24:15 2026 begin with 676377321 relations and 506986311 unique ideals
  66. Thu Mar 12 16:27:43 2026 reduce to 676270673 relations and 499240629 ideals in 7 passes
  67. Thu Mar 12 16:27:43 2026 max relations containing the same ideal: 161
  68. Thu Mar 12 16:30:44 2026 removing 8994418 relations and 6994418 ideals in 2000000 cliques
  69. Thu Mar 12 16:30:57 2026 commencing in-memory singleton removal
  70. Thu Mar 12 16:32:49 2026 begin with 667276255 relations and 499240629 unique ideals
  71. Thu Mar 12 16:43:40 2026 reduce to 667179353 relations and 492149002 ideals in 6 passes
  72. Thu Mar 12 16:43:40 2026 max relations containing the same ideal: 160
  73. Thu Mar 12 16:53:42 2026 removing 8551933 relations and 6551933 ideals in 2000000 cliques
  74. Thu Mar 12 16:54:13 2026 commencing in-memory singleton removal
  75. Thu Mar 12 16:56:45 2026 begin with 658627420 relations and 492149002 unique ideals
  76. Thu Mar 12 17:05:30 2026 reduce to 658538007 relations and 485507391 ideals in 6 passes
  77. Thu Mar 12 17:05:30 2026 max relations containing the same ideal: 159
  78. Thu Mar 12 17:11:47 2026 removing 8215036 relations and 6215036 ideals in 2000000 cliques
  79. Thu Mar 12 17:12:03 2026 commencing in-memory singleton removal
  80. Thu Mar 12 17:12:59 2026 begin with 650322971 relations and 485507391 unique ideals
  81. Thu Mar 12 17:16:44 2026 reduce to 650238366 relations and 479207489 ideals in 7 passes
  82. Thu Mar 12 17:16:44 2026 max relations containing the same ideal: 156
  83. Thu Mar 12 17:19:53 2026 removing 7954686 relations and 5954686 ideals in 2000000 cliques
  84. Thu Mar 12 17:20:08 2026 commencing in-memory singleton removal
  85. Thu Mar 12 17:20:59 2026 begin with 642283680 relations and 479207489 unique ideals
  86. Thu Mar 12 17:24:02 2026 reduce to 642201549 relations and 473170400 ideals in 6 passes
  87. Thu Mar 12 17:24:02 2026 max relations containing the same ideal: 154
  88. Thu Mar 12 17:27:11 2026 removing 7743872 relations and 5743872 ideals in 2000000 cliques
  89. Thu Mar 12 17:27:26 2026 commencing in-memory singleton removal
  90. Thu Mar 12 17:28:15 2026 begin with 634457677 relations and 473170400 unique ideals
  91. Thu Mar 12 17:31:26 2026 reduce to 634379185 relations and 467347761 ideals in 6 passes
  92. Thu Mar 12 17:31:26 2026 max relations containing the same ideal: 153
  93. Thu Mar 12 17:40:49 2026 removing 7566345 relations and 5566345 ideals in 2000000 cliques
  94. Thu Mar 12 17:41:18 2026 commencing in-memory singleton removal
  95. Thu Mar 12 17:43:51 2026 begin with 626812840 relations and 467347761 unique ideals
  96. Thu Mar 12 17:53:40 2026 reduce to 626736299 relations and 461704613 ideals in 6 passes
  97. Thu Mar 12 17:53:40 2026 max relations containing the same ideal: 152
  98. Thu Mar 12 18:01:28 2026 removing 7419257 relations and 5419257 ideals in 2000000 cliques
  99. Thu Mar 12 18:01:50 2026 commencing in-memory singleton removal
  100. Thu Mar 12 18:03:58 2026 begin with 619317042 relations and 461704613 unique ideals
  101. Thu Mar 12 18:10:28 2026 reduce to 619241749 relations and 456209758 ideals in 6 passes
  102. Thu Mar 12 18:10:28 2026 max relations containing the same ideal: 152
  103. Thu Mar 12 18:13:28 2026 removing 7293288 relations and 5293288 ideals in 2000000 cliques
  104. Thu Mar 12 18:13:43 2026 commencing in-memory singleton removal
  105. Thu Mar 12 18:14:30 2026 begin with 611948461 relations and 456209758 unique ideals
  106. Thu Mar 12 18:17:24 2026 reduce to 611874276 relations and 450842000 ideals in 6 passes
  107. Thu Mar 12 18:17:24 2026 max relations containing the same ideal: 150
  108. Thu Mar 12 18:20:22 2026 removing 7179197 relations and 5179197 ideals in 2000000 cliques
  109. Thu Mar 12 18:20:36 2026 commencing in-memory singleton removal
  110. Thu Mar 12 18:21:23 2026 begin with 604695079 relations and 450842000 unique ideals
  111. Thu Mar 12 18:24:12 2026 reduce to 604622137 relations and 445589581 ideals in 6 passes
  112. Thu Mar 12 18:24:12 2026 max relations containing the same ideal: 149
  113. Thu Mar 12 18:27:04 2026 removing 7079349 relations and 5079349 ideals in 2000000 cliques
  114. Thu Mar 12 18:27:19 2026 commencing in-memory singleton removal
  115. Thu Mar 12 18:28:05 2026 begin with 597542788 relations and 445589581 unique ideals
  116. Thu Mar 12 18:31:35 2026 reduce to 597470110 relations and 440437265 ideals in 6 passes
  117. Thu Mar 12 18:31:35 2026 max relations containing the same ideal: 148
  118. Thu Mar 12 18:40:10 2026 removing 6999009 relations and 4999009 ideals in 2000000 cliques
  119. Thu Mar 12 18:40:37 2026 commencing in-memory singleton removal
  120. Thu Mar 12 18:43:03 2026 begin with 590471101 relations and 440437265 unique ideals
  121. Thu Mar 12 18:52:10 2026 reduce to 590399133 relations and 435366034 ideals in 6 passes
  122. Thu Mar 12 18:52:10 2026 max relations containing the same ideal: 148
  123. Thu Mar 12 18:59:39 2026 removing 6920059 relations and 4920059 ideals in 2000000 cliques
  124. Thu Mar 12 19:00:00 2026 commencing in-memory singleton removal
  125. Thu Mar 12 19:02:01 2026 begin with 583479074 relations and 435366034 unique ideals
  126. Thu Mar 12 19:08:04 2026 reduce to 583408470 relations and 430375083 ideals in 5 passes
  127. Thu Mar 12 19:08:04 2026 max relations containing the same ideal: 146
  128. Thu Mar 12 19:11:28 2026 removing 6846658 relations and 4846658 ideals in 2000000 cliques
  129. Thu Mar 12 19:11:42 2026 commencing in-memory singleton removal
  130. Thu Mar 12 19:12:26 2026 begin with 576561812 relations and 430375083 unique ideals
  131. Thu Mar 12 19:14:42 2026 reduce to 576491060 relations and 425457393 ideals in 5 passes
  132. Thu Mar 12 19:14:42 2026 max relations containing the same ideal: 146
  133. Thu Mar 12 19:17:27 2026 removing 6789411 relations and 4789411 ideals in 2000000 cliques
  134. Thu Mar 12 19:17:41 2026 commencing in-memory singleton removal
  135. Thu Mar 12 19:18:25 2026 begin with 569701649 relations and 425457393 unique ideals
  136. Thu Mar 12 19:21:06 2026 reduce to 569631508 relations and 420597546 ideals in 6 passes
  137. Thu Mar 12 19:21:06 2026 max relations containing the same ideal: 144
  138. Thu Mar 12 19:23:52 2026 removing 6732216 relations and 4732216 ideals in 2000000 cliques
  139. Thu Mar 12 19:24:05 2026 commencing in-memory singleton removal
  140. Thu Mar 12 19:24:53 2026 begin with 562899292 relations and 420597546 unique ideals
  141. Thu Mar 12 19:27:20 2026 reduce to 562829493 relations and 415795200 ideals in 5 passes
  142. Thu Mar 12 19:27:20 2026 max relations containing the same ideal: 142
  143. Thu Mar 12 19:30:42 2026 removing 6679369 relations and 4679369 ideals in 2000000 cliques
  144. Thu Mar 12 19:31:01 2026 commencing in-memory singleton removal
  145. Thu Mar 12 19:33:15 2026 begin with 556150124 relations and 415795200 unique ideals
  146. Thu Mar 12 19:42:04 2026 reduce to 556080469 relations and 411045833 ideals in 6 passes
  147. Thu Mar 12 19:42:04 2026 max relations containing the same ideal: 142
  148. Thu Mar 12 19:50:01 2026 removing 6631191 relations and 4631191 ideals in 2000000 cliques
  149. Thu Mar 12 19:50:25 2026 commencing in-memory singleton removal
  150. Thu Mar 12 19:52:35 2026 begin with 549449278 relations and 411045833 unique ideals
  151. Thu Mar 12 19:59:44 2026 reduce to 549379747 relations and 406344756 ideals in 6 passes
  152. Thu Mar 12 19:59:44 2026 max relations containing the same ideal: 141
  153. Thu Mar 12 20:05:50 2026 removing 6588754 relations and 4588754 ideals in 2000000 cliques
  154. Thu Mar 12 20:06:08 2026 commencing in-memory singleton removal
  155. Thu Mar 12 20:07:43 2026 begin with 542790993 relations and 406344756 unique ideals
  156. Thu Mar 12 20:10:26 2026 reduce to 542721428 relations and 401686075 ideals in 6 passes
  157. Thu Mar 12 20:10:26 2026 max relations containing the same ideal: 140
  158. Thu Mar 12 20:13:03 2026 removing 6552059 relations and 4552059 ideals in 2000000 cliques
  159. Thu Mar 12 20:13:15 2026 commencing in-memory singleton removal
  160. Thu Mar 12 20:13:56 2026 begin with 536169369 relations and 401686075 unique ideals
  161. Thu Mar 12 20:16:25 2026 reduce to 536098613 relations and 397062869 ideals in 6 passes
  162. Thu Mar 12 20:16:25 2026 max relations containing the same ideal: 139
  163. Thu Mar 12 20:18:59 2026 removing 6512976 relations and 4512976 ideals in 2000000 cliques
  164. Thu Mar 12 20:19:11 2026 commencing in-memory singleton removal
  165. Thu Mar 12 20:19:52 2026 begin with 529585637 relations and 397062869 unique ideals
  166. Thu Mar 12 20:21:56 2026 reduce to 529515105 relations and 392479003 ideals in 5 passes
  167. Thu Mar 12 20:21:56 2026 max relations containing the same ideal: 139
  168. Thu Mar 12 20:24:35 2026 removing 6480099 relations and 4480099 ideals in 2000000 cliques
  169. Thu Mar 12 20:24:48 2026 commencing in-memory singleton removal
  170. Thu Mar 12 20:25:35 2026 begin with 523035006 relations and 392479003 unique ideals
  171. Thu Mar 12 20:28:06 2026 reduce to 522964267 relations and 387927761 ideals in 5 passes
  172. Thu Mar 12 20:28:06 2026 max relations containing the same ideal: 138
  173. Thu Mar 12 20:34:22 2026 removing 6449206 relations and 4449206 ideals in 2000000 cliques
  174. Thu Mar 12 20:34:47 2026 commencing in-memory singleton removal
  175. Thu Mar 12 20:36:55 2026 begin with 516515061 relations and 387927761 unique ideals
  176. Thu Mar 12 20:43:27 2026 reduce to 516444349 relations and 383407456 ideals in 5 passes
  177. Thu Mar 12 20:43:27 2026 max relations containing the same ideal: 138
  178. Thu Mar 12 20:51:03 2026 removing 6422928 relations and 4422928 ideals in 2000000 cliques
  179. Thu Mar 12 20:51:25 2026 commencing in-memory singleton removal
  180. Thu Mar 12 20:53:20 2026 begin with 510021421 relations and 383407456 unique ideals
  181. Thu Mar 12 20:59:42 2026 reduce to 509949216 relations and 378911943 ideals in 6 passes
  182. Thu Mar 12 20:59:42 2026 max relations containing the same ideal: 138
  183. Thu Mar 12 21:05:16 2026 removing 6393968 relations and 4393968 ideals in 2000000 cliques
  184. Thu Mar 12 21:05:33 2026 commencing in-memory singleton removal
  185. Thu Mar 12 21:06:33 2026 begin with 503555248 relations and 378911943 unique ideals
  186. Thu Mar 12 21:09:00 2026 reduce to 503483223 relations and 374445495 ideals in 6 passes
  187. Thu Mar 12 21:09:00 2026 max relations containing the same ideal: 137
  188. Thu Mar 12 21:11:28 2026 removing 6373216 relations and 4373216 ideals in 2000000 cliques
  189. Thu Mar 12 21:11:40 2026 commencing in-memory singleton removal
  190. Thu Mar 12 21:12:18 2026 begin with 497110007 relations and 374445495 unique ideals
  191. Thu Mar 12 21:14:46 2026 reduce to 497037629 relations and 369999471 ideals in 6 passes
  192. Thu Mar 12 21:14:46 2026 max relations containing the same ideal: 136
  193. Thu Mar 12 21:17:24 2026 removing 6346556 relations and 4346556 ideals in 2000000 cliques
  194. Thu Mar 12 21:17:36 2026 commencing in-memory singleton removal
  195. Thu Mar 12 21:18:18 2026 begin with 490691073 relations and 369999471 unique ideals
  196. Thu Mar 12 21:20:45 2026 reduce to 490618450 relations and 365579826 ideals in 6 passes
  197. Thu Mar 12 21:20:45 2026 max relations containing the same ideal: 136
  198. Thu Mar 12 21:23:25 2026 removing 6326763 relations and 4326763 ideals in 2000000 cliques
  199. Thu Mar 12 21:23:37 2026 commencing in-memory singleton removal
  200. Thu Mar 12 21:24:19 2026 begin with 484291687 relations and 365579826 unique ideals
  201. Thu Mar 12 21:27:06 2026 reduce to 484218289 relations and 361179159 ideals in 6 passes
  202. Thu Mar 12 21:27:06 2026 max relations containing the same ideal: 135
  203. Thu Mar 12 21:33:38 2026 removing 6305413 relations and 4305413 ideals in 2000000 cliques
  204. Thu Mar 12 21:34:00 2026 commencing in-memory singleton removal
  205. Thu Mar 12 21:35:56 2026 begin with 477912876 relations and 361179159 unique ideals
  206. Thu Mar 12 21:43:07 2026 reduce to 477838309 relations and 356798681 ideals in 6 passes
  207. Thu Mar 12 21:43:07 2026 max relations containing the same ideal: 131
  208. Thu Mar 12 21:49:56 2026 removing 6287890 relations and 4287890 ideals in 2000000 cliques
  209. Thu Mar 12 21:50:14 2026 commencing in-memory singleton removal
  210. Thu Mar 12 21:51:55 2026 begin with 471550419 relations and 356798681 unique ideals
  211. Thu Mar 12 21:57:37 2026 reduce to 471475379 relations and 352435251 ideals in 6 passes
  212. Thu Mar 12 21:57:37 2026 max relations containing the same ideal: 131
  213. Thu Mar 12 22:02:49 2026 removing 6271204 relations and 4271204 ideals in 2000000 cliques
  214. Thu Mar 12 22:03:04 2026 commencing in-memory singleton removal
  215. Thu Mar 12 22:04:11 2026 begin with 465204175 relations and 352435251 unique ideals
  216. Thu Mar 12 22:06:25 2026 reduce to 465129324 relations and 348088656 ideals in 6 passes
  217. Thu Mar 12 22:06:25 2026 max relations containing the same ideal: 128
  218. Thu Mar 12 22:08:40 2026 removing 6255422 relations and 4255422 ideals in 2000000 cliques
  219. Thu Mar 12 22:08:51 2026 commencing in-memory singleton removal
  220. Thu Mar 12 22:09:26 2026 begin with 458873902 relations and 348088656 unique ideals
  221. Thu Mar 12 22:11:33 2026 reduce to 458797656 relations and 343756445 ideals in 6 passes
  222. Thu Mar 12 22:11:33 2026 max relations containing the same ideal: 125
  223. Thu Mar 12 22:13:52 2026 removing 6243744 relations and 4243744 ideals in 2000000 cliques
  224. Thu Mar 12 22:14:03 2026 commencing in-memory singleton removal
  225. Thu Mar 12 22:14:39 2026 begin with 452553912 relations and 343756445 unique ideals
  226. Thu Mar 12 22:16:53 2026 reduce to 452477009 relations and 339435207 ideals in 6 passes
  227. Thu Mar 12 22:16:53 2026 max relations containing the same ideal: 125
  228. Thu Mar 12 22:19:11 2026 removing 6224784 relations and 4224784 ideals in 2000000 cliques
  229. Thu Mar 12 22:19:22 2026 commencing in-memory singleton removal
  230. Thu Mar 12 22:19:56 2026 begin with 446252225 relations and 339435207 unique ideals
  231. Thu Mar 12 22:22:10 2026 reduce to 446174919 relations and 335132539 ideals in 6 passes
  232. Thu Mar 12 22:22:10 2026 max relations containing the same ideal: 124
  233. Thu Mar 12 22:24:57 2026 removing 6217297 relations and 4217297 ideals in 2000000 cliques
  234. Thu Mar 12 22:25:11 2026 commencing in-memory singleton removal
  235. Thu Mar 12 22:26:42 2026 begin with 439957622 relations and 335132539 unique ideals
  236. Thu Mar 12 22:32:16 2026 reduce to 439878817 relations and 330835792 ideals in 5 passes
  237. Thu Mar 12 22:32:16 2026 max relations containing the same ideal: 124
  238. Thu Mar 12 22:38:35 2026 removing 6205660 relations and 4205660 ideals in 2000000 cliques
  239. Thu Mar 12 22:38:55 2026 commencing in-memory singleton removal
  240. Thu Mar 12 22:40:38 2026 begin with 433673157 relations and 330835792 unique ideals
  241. Thu Mar 12 22:47:07 2026 reduce to 433593205 relations and 326549553 ideals in 6 passes
  242. Thu Mar 12 22:47:07 2026 max relations containing the same ideal: 124
  243. Thu Mar 12 22:52:47 2026 removing 6196751 relations and 4196751 ideals in 2000000 cliques
  244. Thu Mar 12 22:53:03 2026 commencing in-memory singleton removal
  245. Thu Mar 12 22:54:34 2026 begin with 427396454 relations and 326549553 unique ideals
  246. Thu Mar 12 22:59:51 2026 reduce to 427316369 relations and 322272058 ideals in 6 passes
  247. Thu Mar 12 22:59:51 2026 max relations containing the same ideal: 121
  248. Thu Mar 12 23:03:12 2026 removing 6187820 relations and 4187820 ideals in 2000000 cliques
  249. Thu Mar 12 23:03:23 2026 commencing in-memory singleton removal
  250. Thu Mar 12 23:04:00 2026 begin with 421128549 relations and 322272058 unique ideals
  251. Thu Mar 12 23:06:09 2026 reduce to 421047574 relations and 318002627 ideals in 6 passes
  252. Thu Mar 12 23:06:09 2026 max relations containing the same ideal: 121
  253. Thu Mar 12 23:08:16 2026 removing 6181131 relations and 4181131 ideals in 2000000 cliques
  254. Thu Mar 12 23:08:27 2026 commencing in-memory singleton removal
  255. Thu Mar 12 23:08:59 2026 begin with 414866443 relations and 318002627 unique ideals
  256. Thu Mar 12 23:10:53 2026 reduce to 414783473 relations and 313737863 ideals in 6 passes
  257. Thu Mar 12 23:10:53 2026 max relations containing the same ideal: 120
  258. Thu Mar 12 23:12:56 2026 removing 6173730 relations and 4173730 ideals in 2000000 cliques
  259. Thu Mar 12 23:13:06 2026 commencing in-memory singleton removal
  260. Thu Mar 12 23:13:39 2026 begin with 408609743 relations and 313737863 unique ideals
  261. Thu Mar 12 23:15:44 2026 reduce to 408526466 relations and 309480176 ideals in 6 passes
  262. Thu Mar 12 23:15:44 2026 max relations containing the same ideal: 118
  263. Thu Mar 12 23:18:02 2026 removing 6169187 relations and 4169187 ideals in 2000000 cliques
  264. Thu Mar 12 23:18:13 2026 commencing in-memory singleton removal
  265. Thu Mar 12 23:18:50 2026 begin with 402357279 relations and 309480176 unique ideals
  266. Thu Mar 12 23:20:39 2026 reduce to 402272834 relations and 305225804 ideals in 5 passes
  267. Thu Mar 12 23:20:39 2026 max relations containing the same ideal: 118
  268. Thu Mar 12 23:23:15 2026 removing 6164186 relations and 4164186 ideals in 2000000 cliques
  269. Thu Mar 12 23:23:28 2026 commencing in-memory singleton removal
  270. Thu Mar 12 23:24:42 2026 begin with 396108648 relations and 305225804 unique ideals
  271. Thu Mar 12 23:30:44 2026 reduce to 396022939 relations and 300975138 ideals in 6 passes
  272. Thu Mar 12 23:30:44 2026 max relations containing the same ideal: 117
  273. Thu Mar 12 23:36:39 2026 removing 6161840 relations and 4161840 ideals in 2000000 cliques
  274. Thu Mar 12 23:36:57 2026 commencing in-memory singleton removal
  275. Thu Mar 12 23:38:28 2026 begin with 389861099 relations and 300975138 unique ideals
  276. Thu Mar 12 23:44:14 2026 reduce to 389774469 relations and 296725902 ideals in 6 passes
  277. Thu Mar 12 23:44:14 2026 max relations containing the same ideal: 114
  278. Thu Mar 12 23:49:25 2026 removing 6158390 relations and 4158390 ideals in 2000000 cliques
  279. Thu Mar 12 23:49:41 2026 commencing in-memory singleton removal
  280. Thu Mar 12 23:50:57 2026 begin with 383616079 relations and 296725902 unique ideals
  281. Thu Mar 12 23:55:35 2026 reduce to 383528109 relations and 292478695 ideals in 6 passes
  282. Thu Mar 12 23:55:35 2026 max relations containing the same ideal: 113
  283. Thu Mar 12 23:59:37 2026 removing 6156133 relations and 4156133 ideals in 2000000 cliques
  284. Thu Mar 12 23:59:49 2026 commencing in-memory singleton removal
  285. Fri Mar 13 00:00:28 2026 begin with 377371976 relations and 292478695 unique ideals
  286. Fri Mar 13 00:02:30 2026 reduce to 377283519 relations and 288233318 ideals in 6 passes
  287. Fri Mar 13 00:02:30 2026 max relations containing the same ideal: 111
  288. Fri Mar 13 00:04:40 2026 removing 6156222 relations and 4156222 ideals in 2000000 cliques
  289. Fri Mar 13 00:04:49 2026 commencing in-memory singleton removal
  290. Fri Mar 13 00:05:21 2026 begin with 371127297 relations and 288233318 unique ideals
  291. Fri Mar 13 00:06:57 2026 reduce to 371036545 relations and 283985507 ideals in 5 passes
  292. Fri Mar 13 00:06:57 2026 max relations containing the same ideal: 110
  293. Fri Mar 13 00:09:02 2026 removing 6156305 relations and 4156305 ideals in 2000000 cliques
  294. Fri Mar 13 00:09:11 2026 commencing in-memory singleton removal
  295. Fri Mar 13 00:09:42 2026 begin with 364880240 relations and 283985507 unique ideals
  296. Fri Mar 13 00:11:12 2026 reduce to 364788167 relations and 279736271 ideals in 5 passes
  297. Fri Mar 13 00:11:12 2026 max relations containing the same ideal: 110
  298. Fri Mar 13 00:13:06 2026 removing 6156781 relations and 4156781 ideals in 2000000 cliques
  299. Fri Mar 13 00:13:14 2026 commencing in-memory singleton removal
  300. Fri Mar 13 00:13:41 2026 begin with 358631386 relations and 279736271 unique ideals
  301. Fri Mar 13 00:15:21 2026 reduce to 358538054 relations and 275485283 ideals in 6 passes
  302. Fri Mar 13 00:15:21 2026 max relations containing the same ideal: 108
  303. Fri Mar 13 00:17:11 2026 removing 6157597 relations and 4157597 ideals in 2000000 cliques
  304. Fri Mar 13 00:17:20 2026 commencing in-memory singleton removal
  305. Fri Mar 13 00:17:51 2026 begin with 352380457 relations and 275485283 unique ideals
  306. Fri Mar 13 00:19:56 2026 reduce to 352284763 relations and 271231075 ideals in 6 passes
  307. Fri Mar 13 00:19:56 2026 max relations containing the same ideal: 106
  308. Fri Mar 13 00:23:32 2026 removing 6160321 relations and 4160321 ideals in 2000000 cliques
  309. Fri Mar 13 00:23:48 2026 commencing in-memory singleton removal
  310. Fri Mar 13 00:25:07 2026 begin with 346124442 relations and 271231075 unique ideals
  311. Fri Mar 13 00:29:17 2026 reduce to 346027741 relations and 266973123 ideals in 5 passes
  312. Fri Mar 13 00:29:17 2026 max relations containing the same ideal: 104
  313. Fri Mar 13 00:34:18 2026 removing 6164286 relations and 4164286 ideals in 2000000 cliques
  314. Fri Mar 13 00:34:33 2026 commencing in-memory singleton removal
  315. Fri Mar 13 00:35:53 2026 begin with 339863455 relations and 266973123 unique ideals
  316. Fri Mar 13 00:40:53 2026 reduce to 339764744 relations and 262709142 ideals in 6 passes
  317. Fri Mar 13 00:40:53 2026 max relations containing the same ideal: 104
  318. Fri Mar 13 00:45:42 2026 removing 6172030 relations and 4172030 ideals in 2000000 cliques
  319. Fri Mar 13 00:45:55 2026 commencing in-memory singleton removal
  320. Fri Mar 13 00:47:05 2026 begin with 333592714 relations and 262709142 unique ideals
  321. Fri Mar 13 00:51:15 2026 reduce to 333491879 relations and 258435197 ideals in 6 passes
  322. Fri Mar 13 00:51:15 2026 max relations containing the same ideal: 103
  323. Fri Mar 13 00:55:04 2026 removing 6175307 relations and 4175307 ideals in 2000000 cliques
  324. Fri Mar 13 00:55:16 2026 commencing in-memory singleton removal
  325. Fri Mar 13 00:56:06 2026 begin with 327316572 relations and 258435197 unique ideals
  326. Fri Mar 13 00:58:12 2026 reduce to 327214518 relations and 254156798 ideals in 6 passes
  327. Fri Mar 13 00:58:12 2026 max relations containing the same ideal: 103
  328. Fri Mar 13 01:00:06 2026 removing 6182097 relations and 4182097 ideals in 2000000 cliques
  329. Fri Mar 13 01:00:15 2026 commencing in-memory singleton removal
  330. Fri Mar 13 01:00:45 2026 begin with 321032421 relations and 254156798 unique ideals
  331. Fri Mar 13 01:02:25 2026 reduce to 320928165 relations and 249869329 ideals in 6 passes
  332. Fri Mar 13 01:02:25 2026 max relations containing the same ideal: 103
  333. Fri Mar 13 01:04:15 2026 removing 6189792 relations and 4189792 ideals in 2000000 cliques
  334. Fri Mar 13 01:04:23 2026 commencing in-memory singleton removal
  335. Fri Mar 13 01:04:50 2026 begin with 314738373 relations and 249869329 unique ideals
  336. Fri Mar 13 01:06:25 2026 reduce to 314632633 relations and 245572653 ideals in 6 passes
  337. Fri Mar 13 01:06:25 2026 max relations containing the same ideal: 100
  338. Fri Mar 13 01:08:05 2026 removing 6201977 relations and 4201977 ideals in 2000000 cliques
  339. Fri Mar 13 01:08:13 2026 commencing in-memory singleton removal
  340. Fri Mar 13 01:08:36 2026 begin with 308430656 relations and 245572653 unique ideals
  341. Fri Mar 13 01:10:01 2026 reduce to 308322710 relations and 241261576 ideals in 6 passes
  342. Fri Mar 13 01:10:01 2026 max relations containing the same ideal: 97
  343. Fri Mar 13 01:11:39 2026 removing 6211278 relations and 4211278 ideals in 2000000 cliques
  344. Fri Mar 13 01:11:46 2026 commencing in-memory singleton removal
  345. Fri Mar 13 01:12:10 2026 begin with 302111432 relations and 241261576 unique ideals
  346. Fri Mar 13 01:13:31 2026 reduce to 302000515 relations and 236938161 ideals in 6 passes
  347. Fri Mar 13 01:13:31 2026 max relations containing the same ideal: 96
  348. Fri Mar 13 01:15:10 2026 removing 6221135 relations and 4221135 ideals in 2000000 cliques
  349. Fri Mar 13 01:15:18 2026 commencing in-memory singleton removal
  350. Fri Mar 13 01:15:45 2026 begin with 295779380 relations and 236938161 unique ideals
  351. Fri Mar 13 01:17:26 2026 reduce to 295666937 relations and 232603290 ideals in 6 passes
  352. Fri Mar 13 01:17:26 2026 max relations containing the same ideal: 96
  353. Fri Mar 13 01:20:14 2026 removing 6231193 relations and 4231193 ideals in 2000000 cliques
  354. Fri Mar 13 01:20:27 2026 commencing in-memory singleton removal
  355. Fri Mar 13 01:21:32 2026 begin with 289435744 relations and 232603290 unique ideals
  356. Fri Mar 13 01:25:46 2026 reduce to 289319303 relations and 228254386 ideals in 6 passes
  357. Fri Mar 13 01:25:46 2026 max relations containing the same ideal: 96
  358. Fri Mar 13 01:30:20 2026 removing 6253791 relations and 4253791 ideals in 2000000 cliques
  359. Fri Mar 13 01:30:33 2026 commencing in-memory singleton removal
  360. Fri Mar 13 01:31:37 2026 begin with 283065512 relations and 228254386 unique ideals
  361. Fri Mar 13 01:35:44 2026 reduce to 282946788 relations and 223880596 ideals in 6 passes
  362. Fri Mar 13 01:35:44 2026 max relations containing the same ideal: 95
  363. Fri Mar 13 01:40:05 2026 removing 6267977 relations and 4267977 ideals in 2000000 cliques
  364. Fri Mar 13 01:40:17 2026 commencing in-memory singleton removal
  365. Fri Mar 13 01:41:17 2026 begin with 276678811 relations and 223880596 unique ideals
  366. Fri Mar 13 01:44:53 2026 reduce to 276557112 relations and 219489600 ideals in 6 passes
  367. Fri Mar 13 01:44:53 2026 max relations containing the same ideal: 93
  368. Fri Mar 13 01:48:17 2026 removing 6282880 relations and 4282880 ideals in 2000000 cliques
  369. Fri Mar 13 01:48:27 2026 commencing in-memory singleton removal
  370. Fri Mar 13 01:49:16 2026 begin with 270274232 relations and 219489600 unique ideals
  371. Fri Mar 13 01:52:13 2026 reduce to 270149946 relations and 215080997 ideals in 6 passes
  372. Fri Mar 13 01:52:13 2026 max relations containing the same ideal: 92
  373. Fri Mar 13 01:54:50 2026 removing 6301559 relations and 4301559 ideals in 2000000 cliques
  374. Fri Mar 13 01:54:57 2026 commencing in-memory singleton removal
  375. Fri Mar 13 01:55:22 2026 begin with 263848387 relations and 215080997 unique ideals
  376. Fri Mar 13 01:56:46 2026 reduce to 263720799 relations and 210650456 ideals in 6 passes
  377. Fri Mar 13 01:56:46 2026 max relations containing the same ideal: 90
  378. Fri Mar 13 01:58:14 2026 removing 6321907 relations and 4321907 ideals in 2000000 cliques
  379. Fri Mar 13 01:58:21 2026 commencing in-memory singleton removal
  380. Fri Mar 13 01:58:43 2026 begin with 257398892 relations and 210650456 unique ideals
  381. Fri Mar 13 01:59:59 2026 reduce to 257267497 relations and 206195748 ideals in 6 passes
  382. Fri Mar 13 01:59:59 2026 max relations containing the same ideal: 90
  383. Fri Mar 13 02:01:29 2026 removing 6345119 relations and 4345119 ideals in 2000000 cliques
  384. Fri Mar 13 02:01:36 2026 commencing in-memory singleton removal
  385. Fri Mar 13 02:01:57 2026 begin with 250922378 relations and 206195748 unique ideals
  386. Fri Mar 13 02:03:12 2026 reduce to 250787469 relations and 201714203 ideals in 6 passes
  387. Fri Mar 13 02:03:12 2026 max relations containing the same ideal: 89
  388. Fri Mar 13 02:04:37 2026 removing 6368721 relations and 4368721 ideals in 2000000 cliques
  389. Fri Mar 13 02:04:43 2026 commencing in-memory singleton removal
  390. Fri Mar 13 02:05:04 2026 begin with 244418748 relations and 201714203 unique ideals
  391. Fri Mar 13 02:06:27 2026 reduce to 244280398 relations and 197205419 ideals in 7 passes
  392. Fri Mar 13 02:06:27 2026 max relations containing the same ideal: 87
  393. Fri Mar 13 02:07:45 2026 removing 6398926 relations and 4398926 ideals in 2000000 cliques
  394. Fri Mar 13 02:07:51 2026 commencing in-memory singleton removal
  395. Fri Mar 13 02:08:10 2026 begin with 237881472 relations and 197205419 unique ideals
  396. Fri Mar 13 02:09:23 2026 reduce to 237738690 relations and 192662009 ideals in 7 passes
  397. Fri Mar 13 02:09:23 2026 max relations containing the same ideal: 85
  398. Fri Mar 13 02:10:36 2026 removing 6426255 relations and 4426255 ideals in 2000000 cliques
  399. Fri Mar 13 02:10:42 2026 commencing in-memory singleton removal
  400. Fri Mar 13 02:10:59 2026 begin with 231312435 relations and 192662009 unique ideals
  401. Fri Mar 13 02:12:00 2026 reduce to 231165317 relations and 188086878 ideals in 6 passes
  402. Fri Mar 13 02:12:00 2026 max relations containing the same ideal: 83
  403. Fri Mar 13 02:13:08 2026 removing 6456027 relations and 4456027 ideals in 2000000 cliques
  404. Fri Mar 13 02:13:14 2026 commencing in-memory singleton removal
  405. Fri Mar 13 02:13:30 2026 begin with 224709290 relations and 188086878 unique ideals
  406. Fri Mar 13 02:14:26 2026 reduce to 224557697 relations and 183477437 ideals in 6 passes
  407. Fri Mar 13 02:14:26 2026 max relations containing the same ideal: 80
  408. Fri Mar 13 02:15:30 2026 removing 6491275 relations and 4491275 ideals in 2000000 cliques
  409. Fri Mar 13 02:15:35 2026 commencing in-memory singleton removal
  410. Fri Mar 13 02:15:49 2026 begin with 218066422 relations and 183477437 unique ideals
  411. Fri Mar 13 02:16:41 2026 reduce to 217909537 relations and 178827471 ideals in 6 passes
  412. Fri Mar 13 02:16:41 2026 max relations containing the same ideal: 79
  413. Fri Mar 13 02:17:41 2026 removing 6525177 relations and 4525177 ideals in 2000000 cliques
  414. Fri Mar 13 02:17:46 2026 commencing in-memory singleton removal
  415. Fri Mar 13 02:18:00 2026 begin with 211384360 relations and 178827471 unique ideals
  416. Fri Mar 13 02:18:50 2026 reduce to 211221659 relations and 174137683 ideals in 6 passes
  417. Fri Mar 13 02:18:50 2026 max relations containing the same ideal: 78
  418. Fri Mar 13 02:19:49 2026 removing 6567291 relations and 4567291 ideals in 2000000 cliques
  419. Fri Mar 13 02:19:54 2026 commencing in-memory singleton removal
  420. Fri Mar 13 02:20:07 2026 begin with 204654368 relations and 174137683 unique ideals
  421. Fri Mar 13 02:20:56 2026 reduce to 204486057 relations and 169400003 ideals in 6 passes
  422. Fri Mar 13 02:20:56 2026 max relations containing the same ideal: 78
  423. Fri Mar 13 02:21:54 2026 removing 6612471 relations and 4612471 ideals in 2000000 cliques
  424. Fri Mar 13 02:21:58 2026 commencing in-memory singleton removal
  425. Fri Mar 13 02:22:12 2026 begin with 197873586 relations and 169400003 unique ideals
  426. Fri Mar 13 02:23:00 2026 reduce to 197699229 relations and 164611006 ideals in 6 passes
  427. Fri Mar 13 02:23:00 2026 max relations containing the same ideal: 76
  428. Fri Mar 13 02:23:56 2026 removing 6656875 relations and 4656875 ideals in 2000000 cliques
  429. Fri Mar 13 02:24:00 2026 commencing in-memory singleton removal
  430. Fri Mar 13 02:24:13 2026 begin with 191042354 relations and 164611006 unique ideals
  431. Fri Mar 13 02:24:58 2026 reduce to 190860184 relations and 159769816 ideals in 6 passes
  432. Fri Mar 13 02:24:58 2026 max relations containing the same ideal: 74
  433. Fri Mar 13 02:25:52 2026 removing 6708136 relations and 4708136 ideals in 2000000 cliques
  434. Fri Mar 13 02:25:57 2026 commencing in-memory singleton removal
  435. Fri Mar 13 02:26:09 2026 begin with 184152048 relations and 159769816 unique ideals
  436. Fri Mar 13 02:27:01 2026 reduce to 183962751 relations and 154870083 ideals in 6 passes
  437. Fri Mar 13 02:27:01 2026 max relations containing the same ideal: 72
  438. Fri Mar 13 02:27:53 2026 removing 6759750 relations and 4759750 ideals in 2000000 cliques
  439. Fri Mar 13 02:27:57 2026 commencing in-memory singleton removal
  440. Fri Mar 13 02:28:09 2026 begin with 177203001 relations and 154870083 unique ideals
  441. Fri Mar 13 02:28:53 2026 reduce to 177004112 relations and 149908864 ideals in 6 passes
  442. Fri Mar 13 02:28:53 2026 max relations containing the same ideal: 68
  443. Fri Mar 13 02:29:44 2026 removing 6820410 relations and 4820410 ideals in 2000000 cliques
  444. Fri Mar 13 02:29:48 2026 commencing in-memory singleton removal
  445. Fri Mar 13 02:29:59 2026 begin with 170183702 relations and 149908864 unique ideals
  446. Fri Mar 13 02:30:48 2026 reduce to 169974950 relations and 144877030 ideals in 7 passes
  447. Fri Mar 13 02:30:48 2026 max relations containing the same ideal: 66
  448. Fri Mar 13 02:31:37 2026 removing 6883444 relations and 4883444 ideals in 2000000 cliques
  449. Fri Mar 13 02:31:40 2026 commencing in-memory singleton removal
  450. Fri Mar 13 02:31:51 2026 begin with 163091506 relations and 144877030 unique ideals
  451. Fri Mar 13 02:32:37 2026 reduce to 162870601 relations and 139769857 ideals in 7 passes
  452. Fri Mar 13 02:32:37 2026 max relations containing the same ideal: 65
  453. Fri Mar 13 02:33:25 2026 removing 6951411 relations and 4951411 ideals in 2000000 cliques
  454. Fri Mar 13 02:33:28 2026 commencing in-memory singleton removal
  455. Fri Mar 13 02:33:38 2026 begin with 155919190 relations and 139769857 unique ideals
  456. Fri Mar 13 02:34:23 2026 reduce to 155687686 relations and 134583916 ideals in 7 passes
  457. Fri Mar 13 02:34:23 2026 max relations containing the same ideal: 62
  458. Fri Mar 13 02:35:08 2026 removing 7022274 relations and 5022274 ideals in 2000000 cliques
  459. Fri Mar 13 02:35:12 2026 commencing in-memory singleton removal
  460. Fri Mar 13 02:35:21 2026 begin with 148665412 relations and 134583916 unique ideals
  461. Fri Mar 13 02:36:03 2026 reduce to 148419793 relations and 129312768 ideals in 7 passes
  462. Fri Mar 13 02:36:03 2026 max relations containing the same ideal: 60
  463. Fri Mar 13 02:36:47 2026 removing 7104860 relations and 5104860 ideals in 2000000 cliques
  464. Fri Mar 13 02:36:50 2026 commencing in-memory singleton removal
  465. Fri Mar 13 02:36:59 2026 begin with 141314933 relations and 129312768 unique ideals
  466. Fri Mar 13 02:37:33 2026 reduce to 141054653 relations and 123944109 ideals in 6 passes
  467. Fri Mar 13 02:37:33 2026 max relations containing the same ideal: 58
  468. Fri Mar 13 02:38:15 2026 removing 7188463 relations and 5188463 ideals in 2000000 cliques
  469. Fri Mar 13 02:38:18 2026 commencing in-memory singleton removal
  470. Fri Mar 13 02:38:26 2026 begin with 133866190 relations and 123944109 unique ideals
  471. Fri Mar 13 02:39:04 2026 reduce to 133587511 relations and 118473239 ideals in 7 passes
  472. Fri Mar 13 02:39:04 2026 max relations containing the same ideal: 56
  473. Fri Mar 13 02:39:43 2026 removing 7279187 relations and 5279187 ideals in 2000000 cliques
  474. Fri Mar 13 02:39:46 2026 commencing in-memory singleton removal
  475. Fri Mar 13 02:39:54 2026 begin with 126308324 relations and 118473239 unique ideals
  476. Fri Mar 13 02:40:29 2026 reduce to 126007423 relations and 112889112 ideals in 7 passes
  477. Fri Mar 13 02:40:29 2026 max relations containing the same ideal: 54
  478. Fri Mar 13 02:41:06 2026 removing 7383727 relations and 5383727 ideals in 2000000 cliques
  479. Fri Mar 13 02:41:10 2026 commencing in-memory singleton removal
  480. Fri Mar 13 02:41:17 2026 begin with 118623696 relations and 112889112 unique ideals
  481. Fri Mar 13 02:41:49 2026 reduce to 118302475 relations and 107179441 ideals in 7 passes
  482. Fri Mar 13 02:41:49 2026 max relations containing the same ideal: 53
  483. Fri Mar 13 02:42:25 2026 removing 7491368 relations and 5491368 ideals in 2000000 cliques
  484. Fri Mar 13 02:42:28 2026 commencing in-memory singleton removal
  485. Fri Mar 13 02:42:35 2026 begin with 110811107 relations and 107179441 unique ideals
  486. Fri Mar 13 02:43:09 2026 reduce to 110457841 relations and 101329445 ideals in 8 passes
  487. Fri Mar 13 02:43:09 2026 max relations containing the same ideal: 52
  488. Fri Mar 13 02:43:41 2026 removing 7610741 relations and 5610741 ideals in 2000000 cliques
  489. Fri Mar 13 02:43:44 2026 commencing in-memory singleton removal
  490. Fri Mar 13 02:43:50 2026 begin with 102847100 relations and 101329445 unique ideals
  491. Fri Mar 13 02:44:22 2026 reduce to 102459486 relations and 95324870 ideals in 8 passes
  492. Fri Mar 13 02:44:22 2026 max relations containing the same ideal: 51
  493. Fri Mar 13 02:44:52 2026 removing 811503 relations and 670576 ideals in 140927 cliques
  494. Fri Mar 13 02:44:54 2026 commencing in-memory singleton removal
  495. Fri Mar 13 02:45:00 2026 begin with 101647983 relations and 95324870 unique ideals
  496. Fri Mar 13 02:45:24 2026 reduce to 101644012 relations and 94650318 ideals in 6 passes
  497. Fri Mar 13 02:45:24 2026 max relations containing the same ideal: 51
  498. Fri Mar 13 02:45:35 2026 relations with 0 large ideals: 432294
  499. Fri Mar 13 02:45:35 2026 relations with 1 large ideals: 420004
  500. Fri Mar 13 02:45:35 2026 relations with 2 large ideals: 3131958
  501. Fri Mar 13 02:45:35 2026 relations with 3 large ideals: 11796444
  502. Fri Mar 13 02:45:35 2026 relations with 4 large ideals: 23729781
  503. Fri Mar 13 02:45:35 2026 relations with 5 large ideals: 27926055
  504. Fri Mar 13 02:45:35 2026 relations with 6 large ideals: 20230082
  505. Fri Mar 13 02:45:35 2026 relations with 7+ large ideals: 13977394
  506. Fri Mar 13 02:45:35 2026 commencing 2-way merge
  507. Fri Mar 13 02:46:21 2026 reduce to 63556669 relation sets and 56562975 unique ideals
  508. Fri Mar 13 02:46:21 2026 commencing full merge
  509. Fri Mar 13 02:59:23 2026 memory use: 7242.3 MB
  510. Fri Mar 13 02:59:26 2026 found 29231932 cycles, need 28447175
  511. Fri Mar 13 02:59:34 2026 weight of 28447175 cycles is about 3556727539 (125.03/cycle)
  512. Fri Mar 13 02:59:35 2026 distribution of cycle lengths:
  513. Fri Mar 13 02:59:35 2026 1 relations: 1816612
  514. Fri Mar 13 02:59:35 2026 2 relations: 1740288
  515. Fri Mar 13 02:59:35 2026 3 relations: 1864420
  516. Fri Mar 13 02:59:35 2026 4 relations: 1908068
  517. Fri Mar 13 02:59:35 2026 5 relations: 1945449
  518. Fri Mar 13 02:59:35 2026 6 relations: 1958558
  519. Fri Mar 13 02:59:35 2026 7 relations: 1956565
  520. Fri Mar 13 02:59:35 2026 8 relations: 1910973
  521. Fri Mar 13 02:59:35 2026 9 relations: 1835246
  522. Fri Mar 13 02:59:35 2026 10+ relations: 11510996
  523. Fri Mar 13 02:59:35 2026 heaviest cycle: 28 relations
  524. Fri Mar 13 02:59:41 2026 commencing cycle optimization
  525. Fri Mar 13 03:00:22 2026 start with 245926468 relations
  526. Fri Mar 13 03:06:06 2026 pruned 10797058 relations
  527. Fri Mar 13 03:06:06 2026 memory use: 6626.8 MB
  528. Fri Mar 13 03:06:06 2026 distribution of cycle lengths:
  529. Fri Mar 13 03:06:06 2026 1 relations: 1816612
  530. Fri Mar 13 03:06:06 2026 2 relations: 1777628
  531. Fri Mar 13 03:06:06 2026 3 relations: 1936201
  532. Fri Mar 13 03:06:06 2026 4 relations: 1985788
  533. Fri Mar 13 03:06:06 2026 5 relations: 2044833
  534. Fri Mar 13 03:06:06 2026 6 relations: 2060926
  535. Fri Mar 13 03:06:06 2026 7 relations: 2068840
  536. Fri Mar 13 03:06:06 2026 8 relations: 2017972
  537. Fri Mar 13 03:06:06 2026 9 relations: 1937870
  538. Fri Mar 13 03:06:06 2026 10+ relations: 10800505
  539. Fri Mar 13 03:06:06 2026 heaviest cycle: 28 relations
  540. Fri Mar 13 03:07:09 2026 RelProcTime: 96925
  541. Fri Mar 13 03:07:09 2026
  542. Fri Mar 13 03:07:09 2026 commencing linear algebra
  543. Fri Mar 13 03:07:09 2026 using VBITS=256
  544. Fri Mar 13 03:07:10 2026 read 28447175 cycles
  545. Fri Mar 13 03:07:46 2026 cycles contain 98195208 unique relations
  546. Fri Mar 13 03:27:33 2026 read 98195208 relations
  547. Fri Mar 13 03:30:10 2026 using 20 quadratic characters above 4294917295
  548. Fri Mar 13 03:35:48 2026 building initial matrix
  549. Fri Mar 13 03:59:59 2026 memory use: 12841.7 MB
  550. Fri Mar 13 04:00:09 2026 read 28447175 cycles
  551. Fri Mar 13 04:00:11 2026 matrix is 28446985 x 28447175 (13783.5 MB) with weight 3889565330 (136.73/col)
  552. Fri Mar 13 04:00:11 2026 sparse part has weight 3328802827 (117.02/col)
  553. Fri Mar 13 04:04:49 2026 filtering completed in 2 passes
  554. Fri Mar 13 04:04:53 2026 matrix is 28443719 x 28443894 (13783.1 MB) with weight 3889428711 (136.74/col)
  555. Fri Mar 13 04:04:53 2026 sparse part has weight 3328729986 (117.03/col)
  556. Fri Mar 13 04:16:41 2026 matrix starts at (0, 0)
  557. Fri Mar 13 04:16:43 2026 matrix is 28443719 x 28443894 (13783.1 MB) with weight 3889428711 (136.74/col)
  558. Fri Mar 13 04:16:43 2026 sparse part has weight 3328729986 (117.03/col)
  559. Fri Mar 13 04:16:43 2026 saving the first 240 matrix rows for later
  560. Fri Mar 13 04:16:47 2026 matrix includes 256 packed rows
  561. Fri Mar 13 04:16:54 2026 matrix is 28443479 x 28443894 (12843.9 MB) with weight 3049226127 (107.20/col)
  562. Fri Mar 13 04:16:54 2026 sparse part has weight 2911846746 (102.37/col)
  563. Fri Mar 13 04:16:57 2026 using GPU 1 (NVIDIA L40S)
  564. Fri Mar 13 04:16:57 2026 selected card has CUDA arch 8.9
  565. Fri Mar 13 04:20:29 2026 commencing Lanczos iteration
  566. vector memory use: 6076.3 MB
  567. dense rows memory use: 868.0 MB
  568. sparse matrix memory use: 22649.6 MB
  569. Allocated 1277.6 MB for SpMV library
  570. Fri Mar 13 04:20:31 2026 memory use: 29594.0 MB
  571. Fri Mar 13 04:21:59 2026 linear algebra at 0.1%, ETA 22h41m
  572. Fri Mar 13 04:24:11 2026 checking every 10000 dimensions, checkpointing every 630000 dimensions
  573. Sat Mar 14 03:01:25 2026 lanczos halted after 111443 iterations (dim = 28443477)
  574. Sat Mar 14 03:02:37 2026 recovered 36 nontrivial dependencies
  575. Sat Mar 14 03:02:37 2026 BLanczosTime: 86128
  576. Sat Mar 14 03:02:37 2026
  577. Sat Mar 14 03:02:37 2026 commencing square root phase
  578. Sat Mar 14 03:02:37 2026 handling dependencies 1 to 64
  579. Sat Mar 14 03:02:37 2026 reading relations for dependency 1
  580. Sat Mar 14 03:02:41 2026 read 14221700 cycles
  581. Sat Mar 14 03:02:59 2026 cycles contain 49097332 unique relations
  582. Sat Mar 14 03:20:02 2026 read 49097332 relations
  583. Sat Mar 14 03:22:21 2026 multiplying 49097332 relations
  584. Sat Mar 14 03:48:33 2026 multiply complete, coefficients have about 1348.29 million bits
  585. Sat Mar 14 03:48:37 2026 initial square root is modulo 1117057
  586. Sat Mar 14 04:10:33 2026 GCD is 1, no factor found
  587. Sat Mar 14 04:10:33 2026 reading relations for dependency 2
  588. Sat Mar 14 04:10:37 2026 read 14220112 cycles
  589. Sat Mar 14 04:10:54 2026 cycles contain 49091628 unique relations
  590. Sat Mar 14 04:27:58 2026 read 49091628 relations
  591. Sat Mar 14 04:30:17 2026 multiplying 49091628 relations
  592. Sat Mar 14 04:56:31 2026 multiply complete, coefficients have about 1348.12 million bits
  593. Sat Mar 14 04:56:35 2026 initial square root is modulo 1115099
  594. Sat Mar 14 05:18:27 2026 sqrtTime: 8150
  595. Sat Mar 14 05:18:27 2026 p108 factor: 318941598235902394575722045041521627146156780700042111268225957915624664373675501368439989058098159030277367
  596. Sat Mar 14 05:18:27 2026 p135 factor: 422478571423773328878741183275453335242969657664235506727071113792419195313145176739439434993958471758282950446087814393149113707869863
  597. Sat Mar 14 05:18:27 2026 elapsed time 53:06:44
  598.  
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