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L1496.msieve.log

Serge_Batalov
Nov 6th, 2025
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  1. 43.54 % 92.59 % 100 %
  2. 556,345,757 1,248,717,230 1,400,957,264
  3. 84,706,473 78,846,914 20,757,028 -> ~10M used as an increment after remdups
  4.  
  5. (( Found 550155655 unique, 76440550 duplicate, and 433 bad relations.
  6. Largest dimension used: 1866 of 3500
  7. Average dimension used: 1679.0 of 3500 ))
  8.  
  9. Found 1030313975 unique, 218402618 duplicate, and 1229 bad relations.
  10. Largest dimension used: 3412 of 5600
  11. Average dimension used: 3144.3 of 5600
  12.  
  13. Tue Nov 4 14:08:05 2025 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  14. Tue Nov 4 14:08:05 2025 random seeds: 9bb8ae1e 1659f598
  15. Tue Nov 4 14:08:05 2025 factoring 36152106093847366242546416513144885844021747981577248587122747224890664954540473355436608653937893819189550598512299959496687380103879055705169353284866896440345974109339153156178874464556224671099351871325533900726590690621938479805562767 (239 digits)
  16. Tue Nov 4 14:08:06 2025 no P-1/P+1/ECM available, skipping
  17. Tue Nov 4 14:08:06 2025 commencing number field sieve (239-digit input)
  18. Tue Nov 4 14:08:06 2025 R0: -699259133978938420550028971714417160188479526095241271647
  19. Tue Nov 4 14:08:06 2025 R1: 1
  20. Tue Nov 4 14:08:06 2025 A0: -1
  21. Tue Nov 4 14:08:06 2025 A1: 3
  22. Tue Nov 4 14:08:06 2025 A2: 3
  23. Tue Nov 4 14:08:06 2025 A3: -4
  24. Tue Nov 4 14:08:06 2025 A4: -1
  25. Tue Nov 4 14:08:06 2025 A5: 1
  26. Tue Nov 4 14:08:06 2025 skew 1.51, size 2.866e-19, alpha 2.379, combined = 3.608e-15 rroots = 5
  27. Tue Nov 4 14:08:06 2025
  28. Tue Nov 4 14:08:06 2025 commencing relation filtering
  29. Tue Nov 4 14:08:06 2025 setting target matrix density to 135.0
  30. Tue Nov 4 14:08:06 2025 estimated available RAM is 1031034.1 MB
  31. Tue Nov 4 14:08:06 2025 commencing duplicate removal, pass 1
  32. Tue Nov 4 16:05:13 2025 skipped 118416 relations with b > 2^32
  33. Tue Nov 4 16:05:13 2025 skipped 6 relations with composite factors
  34. Tue Nov 4 16:05:13 2025 found 72896557 hash collisions in 1151514585 relations
  35. Tue Nov 4 16:05:19 2025 added 2926300 free relations
  36. Tue Nov 4 16:05:19 2025 commencing duplicate removal, pass 2
  37. Tue Nov 4 16:22:54 2025 found 2841813 duplicates and 1151599072 unique relations
  38. Tue Nov 4 16:22:54 2025 memory use: 3411.0 MB
  39. Tue Nov 4 16:22:54 2025 reading ideals above 720000
  40. Tue Nov 4 16:22:54 2025 commencing singleton removal, initial pass
  41. Tue Nov 4 19:25:47 2025 memory use: 21024.0 MB
  42. Tue Nov 4 19:25:48 2025 reading all ideals from disk
  43. Tue Nov 4 19:26:47 2025 memory use: 60077.9 MB
  44. Tue Nov 4 19:28:26 2025 keeping 967535349 ideals with weight <= 200, target excess is 7531758
  45. Tue Nov 4 19:30:36 2025 commencing in-memory singleton removal
  46. Tue Nov 4 19:32:35 2025 begin with 1151599072 relations and 967535349 unique ideals
  47. Tue Nov 4 19:44:50 2025 reduce to 813076269 relations and 600202782 ideals in 15 passes
  48. Tue Nov 4 19:44:50 2025 max relations containing the same ideal: 171
  49. Tue Nov 4 19:49:19 2025 removing 14172316 relations and 12172316 ideals in 2000000 cliques
  50. Tue Nov 4 19:49:35 2025 commencing in-memory singleton removal
  51. Tue Nov 4 19:50:46 2025 begin with 798903953 relations and 600202782 unique ideals
  52. Tue Nov 4 19:55:26 2025 reduce to 798721936 relations and 587847765 ideals in 7 passes
  53. Tue Nov 4 19:55:26 2025 max relations containing the same ideal: 169
  54. Tue Nov 4 19:59:42 2025 removing 10829732 relations and 8829732 ideals in 2000000 cliques
  55. Tue Nov 4 19:59:58 2025 commencing in-memory singleton removal
  56. Tue Nov 4 20:01:07 2025 begin with 787892204 relations and 587847765 unique ideals
  57. Tue Nov 4 20:06:21 2025 reduce to 787774653 relations and 578900080 ideals in 8 passes
  58. Tue Nov 4 20:06:21 2025 max relations containing the same ideal: 169
  59. Tue Nov 4 20:10:32 2025 removing 9736289 relations and 7736289 ideals in 2000000 cliques
  60. Tue Nov 4 20:10:47 2025 commencing in-memory singleton removal
  61. Tue Nov 4 20:11:55 2025 begin with 778038364 relations and 578900080 unique ideals
  62. Tue Nov 4 20:15:48 2025 reduce to 777938687 relations and 571063793 ideals in 6 passes
  63. Tue Nov 4 20:15:48 2025 max relations containing the same ideal: 168
  64. Tue Nov 4 20:20:01 2025 removing 9088384 relations and 7088384 ideals in 2000000 cliques
  65. Tue Nov 4 20:20:16 2025 commencing in-memory singleton removal
  66. Tue Nov 4 20:21:25 2025 begin with 768850303 relations and 571063793 unique ideals
  67. Tue Nov 4 20:25:16 2025 reduce to 768761385 relations and 563886217 ideals in 6 passes
  68. Tue Nov 4 20:25:16 2025 max relations containing the same ideal: 167
  69. Tue Nov 4 20:29:19 2025 removing 8631588 relations and 6631588 ideals in 2000000 cliques
  70. Tue Nov 4 20:29:34 2025 commencing in-memory singleton removal
  71. Tue Nov 4 20:30:40 2025 begin with 760129797 relations and 563886217 unique ideals
  72. Tue Nov 4 20:35:02 2025 reduce to 760047124 relations and 557171735 ideals in 7 passes
  73. Tue Nov 4 20:35:02 2025 max relations containing the same ideal: 165
  74. Tue Nov 4 20:39:01 2025 removing 8292808 relations and 6292808 ideals in 2000000 cliques
  75. Tue Nov 4 20:39:15 2025 commencing in-memory singleton removal
  76. Tue Nov 4 20:40:17 2025 begin with 751754316 relations and 557171735 unique ideals
  77. Tue Nov 4 20:43:51 2025 reduce to 751676120 relations and 550800493 ideals in 6 passes
  78. Tue Nov 4 20:43:51 2025 max relations containing the same ideal: 164
  79. Tue Nov 4 20:47:39 2025 removing 8028435 relations and 6028435 ideals in 2000000 cliques
  80. Tue Nov 4 20:47:53 2025 commencing in-memory singleton removal
  81. Tue Nov 4 20:48:52 2025 begin with 743647685 relations and 550800493 unique ideals
  82. Tue Nov 4 20:52:53 2025 reduce to 743572672 relations and 544696835 ideals in 7 passes
  83. Tue Nov 4 20:52:53 2025 max relations containing the same ideal: 163
  84. Tue Nov 4 20:56:33 2025 removing 7813512 relations and 5813512 ideals in 2000000 cliques
  85. Tue Nov 4 20:56:47 2025 commencing in-memory singleton removal
  86. Tue Nov 4 20:57:44 2025 begin with 735759160 relations and 544696835 unique ideals
  87. Tue Nov 4 21:01:06 2025 reduce to 735686769 relations and 538810739 ideals in 6 passes
  88. Tue Nov 4 21:01:06 2025 max relations containing the same ideal: 161
  89. Tue Nov 4 21:04:43 2025 removing 7630343 relations and 5630343 ideals in 2000000 cliques
  90. Tue Nov 4 21:04:56 2025 commencing in-memory singleton removal
  91. Tue Nov 4 21:05:53 2025 begin with 728056426 relations and 538810739 unique ideals
  92. Tue Nov 4 21:08:41 2025 reduce to 727986572 relations and 533110339 ideals in 5 passes
  93. Tue Nov 4 21:08:41 2025 max relations containing the same ideal: 159
  94. Tue Nov 4 21:12:15 2025 removing 7477734 relations and 5477734 ideals in 2000000 cliques
  95. Tue Nov 4 21:12:28 2025 commencing in-memory singleton removal
  96. Tue Nov 4 21:13:24 2025 begin with 720508838 relations and 533110339 unique ideals
  97. Tue Nov 4 21:16:41 2025 reduce to 720440585 relations and 527564127 ideals in 6 passes
  98. Tue Nov 4 21:16:41 2025 max relations containing the same ideal: 158
  99. Tue Nov 4 21:20:13 2025 removing 7345192 relations and 5345192 ideals in 2000000 cliques
  100. Tue Nov 4 21:20:27 2025 commencing in-memory singleton removal
  101. Tue Nov 4 21:21:22 2025 begin with 713095393 relations and 527564127 unique ideals
  102. Tue Nov 4 21:24:37 2025 reduce to 713028592 relations and 522151897 ideals in 6 passes
  103. Tue Nov 4 21:24:37 2025 max relations containing the same ideal: 156
  104. Tue Nov 4 21:28:07 2025 removing 7233184 relations and 5233184 ideals in 2000000 cliques
  105. Tue Nov 4 21:28:20 2025 commencing in-memory singleton removal
  106. Tue Nov 4 21:29:14 2025 begin with 705795408 relations and 522151897 unique ideals
  107. Tue Nov 4 21:32:27 2025 reduce to 705729709 relations and 516852815 ideals in 6 passes
  108. Tue Nov 4 21:32:27 2025 max relations containing the same ideal: 155
  109. Tue Nov 4 21:35:54 2025 removing 7134471 relations and 5134471 ideals in 2000000 cliques
  110. Tue Nov 4 21:36:07 2025 commencing in-memory singleton removal
  111. Tue Nov 4 21:37:01 2025 begin with 698595238 relations and 516852815 unique ideals
  112. Tue Nov 4 21:40:13 2025 reduce to 698530860 relations and 511653740 ideals in 6 passes
  113. Tue Nov 4 21:40:13 2025 max relations containing the same ideal: 154
  114. Tue Nov 4 21:43:38 2025 removing 7041205 relations and 5041205 ideals in 2000000 cliques
  115. Tue Nov 4 21:43:51 2025 commencing in-memory singleton removal
  116. Tue Nov 4 21:44:44 2025 begin with 691489655 relations and 511653740 unique ideals
  117. Tue Nov 4 21:47:53 2025 reduce to 691425379 relations and 506548043 ideals in 6 passes
  118. Tue Nov 4 21:47:53 2025 max relations containing the same ideal: 154
  119. Tue Nov 4 21:51:18 2025 removing 6961823 relations and 4961823 ideals in 2000000 cliques
  120. Tue Nov 4 21:51:31 2025 commencing in-memory singleton removal
  121. Tue Nov 4 21:52:24 2025 begin with 684463556 relations and 506548043 unique ideals
  122. Tue Nov 4 21:55:29 2025 reduce to 684400598 relations and 501523039 ideals in 6 passes
  123. Tue Nov 4 21:55:29 2025 max relations containing the same ideal: 153
  124. Tue Nov 4 21:58:50 2025 removing 6890176 relations and 4890176 ideals in 2000000 cliques
  125. Tue Nov 4 21:59:03 2025 commencing in-memory singleton removal
  126. Tue Nov 4 21:59:54 2025 begin with 677510422 relations and 501523039 unique ideals
  127. Tue Nov 4 22:02:25 2025 reduce to 677447677 relations and 496569884 ideals in 5 passes
  128. Tue Nov 4 22:02:25 2025 max relations containing the same ideal: 151
  129. Tue Nov 4 22:05:43 2025 removing 6826949 relations and 4826949 ideals in 2000000 cliques
  130. Tue Nov 4 22:05:55 2025 commencing in-memory singleton removal
  131. Tue Nov 4 22:06:45 2025 begin with 670620728 relations and 496569884 unique ideals
  132. Tue Nov 4 22:09:40 2025 reduce to 670558432 relations and 491680359 ideals in 6 passes
  133. Tue Nov 4 22:09:40 2025 max relations containing the same ideal: 151
  134. Tue Nov 4 22:12:53 2025 removing 6767873 relations and 4767873 ideals in 2000000 cliques
  135. Tue Nov 4 22:13:06 2025 commencing in-memory singleton removal
  136. Tue Nov 4 22:13:55 2025 begin with 663790559 relations and 491680359 unique ideals
  137. Tue Nov 4 22:16:47 2025 reduce to 663728304 relations and 486849959 ideals in 6 passes
  138. Tue Nov 4 22:16:47 2025 max relations containing the same ideal: 150
  139. Tue Nov 4 22:20:02 2025 removing 6711970 relations and 4711970 ideals in 2000000 cliques
  140. Tue Nov 4 22:20:14 2025 commencing in-memory singleton removal
  141. Tue Nov 4 22:21:04 2025 begin with 657016334 relations and 486849959 unique ideals
  142. Tue Nov 4 22:23:57 2025 reduce to 656954304 relations and 482075689 ideals in 6 passes
  143. Tue Nov 4 22:23:57 2025 max relations containing the same ideal: 150
  144. Tue Nov 4 22:27:05 2025 removing 6665141 relations and 4665141 ideals in 2000000 cliques
  145. Tue Nov 4 22:27:17 2025 commencing in-memory singleton removal
  146. Tue Nov 4 22:28:05 2025 begin with 650289163 relations and 482075689 unique ideals
  147. Tue Nov 4 22:30:53 2025 reduce to 650227402 relations and 477348541 ideals in 6 passes
  148. Tue Nov 4 22:30:53 2025 max relations containing the same ideal: 150
  149. Tue Nov 4 22:33:52 2025 removing 6617870 relations and 4617870 ideals in 2000000 cliques
  150. Tue Nov 4 22:34:04 2025 commencing in-memory singleton removal
  151. Tue Nov 4 22:34:51 2025 begin with 643609532 relations and 477348541 unique ideals
  152. Tue Nov 4 22:37:11 2025 reduce to 643547416 relations and 472668272 ideals in 5 passes
  153. Tue Nov 4 22:37:11 2025 max relations containing the same ideal: 149
  154. Tue Nov 4 22:40:10 2025 removing 6575350 relations and 4575350 ideals in 2000000 cliques
  155. Tue Nov 4 22:40:22 2025 commencing in-memory singleton removal
  156. Tue Nov 4 22:41:09 2025 begin with 636972066 relations and 472668272 unique ideals
  157. Tue Nov 4 22:43:27 2025 reduce to 636910576 relations and 468031133 ideals in 5 passes
  158. Tue Nov 4 22:43:27 2025 max relations containing the same ideal: 149
  159. Tue Nov 4 22:46:25 2025 removing 6539451 relations and 4539451 ideals in 2000000 cliques
  160. Tue Nov 4 22:46:37 2025 commencing in-memory singleton removal
  161. Tue Nov 4 22:47:24 2025 begin with 630371125 relations and 468031133 unique ideals
  162. Tue Nov 4 22:50:07 2025 reduce to 630309284 relations and 463429525 ideals in 6 passes
  163. Tue Nov 4 22:50:07 2025 max relations containing the same ideal: 149
  164. Tue Nov 4 22:53:03 2025 removing 6503478 relations and 4503478 ideals in 2000000 cliques
  165. Tue Nov 4 22:53:15 2025 commencing in-memory singleton removal
  166. Tue Nov 4 22:54:00 2025 begin with 623805806 relations and 463429525 unique ideals
  167. Tue Nov 4 22:56:40 2025 reduce to 623743864 relations and 458863810 ideals in 6 passes
  168. Tue Nov 4 22:56:40 2025 max relations containing the same ideal: 148
  169. Tue Nov 4 22:59:34 2025 removing 6468471 relations and 4468471 ideals in 2000000 cliques
  170. Tue Nov 4 22:59:46 2025 commencing in-memory singleton removal
  171. Tue Nov 4 23:00:31 2025 begin with 617275393 relations and 458863810 unique ideals
  172. Tue Nov 4 23:03:10 2025 reduce to 617213042 relations and 454332678 ideals in 6 passes
  173. Tue Nov 4 23:03:10 2025 max relations containing the same ideal: 148
  174. Tue Nov 4 23:06:02 2025 removing 6440058 relations and 4440058 ideals in 2000000 cliques
  175. Tue Nov 4 23:06:13 2025 commencing in-memory singleton removal
  176. Tue Nov 4 23:06:58 2025 begin with 610772984 relations and 454332678 unique ideals
  177. Tue Nov 4 23:09:08 2025 reduce to 610709986 relations and 449829292 ideals in 5 passes
  178. Tue Nov 4 23:09:08 2025 max relations containing the same ideal: 147
  179. Tue Nov 4 23:11:58 2025 removing 6407522 relations and 4407522 ideals in 2000000 cliques
  180. Tue Nov 4 23:12:09 2025 commencing in-memory singleton removal
  181. Tue Nov 4 23:12:52 2025 begin with 604302464 relations and 449829292 unique ideals
  182. Tue Nov 4 23:15:02 2025 reduce to 604239725 relations and 445358695 ideals in 5 passes
  183. Tue Nov 4 23:15:02 2025 max relations containing the same ideal: 146
  184. Tue Nov 4 23:17:51 2025 removing 6382436 relations and 4382436 ideals in 2000000 cliques
  185. Tue Nov 4 23:18:02 2025 commencing in-memory singleton removal
  186. Tue Nov 4 23:18:45 2025 begin with 597857289 relations and 445358695 unique ideals
  187. Tue Nov 4 23:20:55 2025 reduce to 597794011 relations and 440912630 ideals in 5 passes
  188. Tue Nov 4 23:20:55 2025 max relations containing the same ideal: 144
  189. Tue Nov 4 23:23:42 2025 removing 6358820 relations and 4358820 ideals in 2000000 cliques
  190. Tue Nov 4 23:23:52 2025 commencing in-memory singleton removal
  191. Tue Nov 4 23:24:35 2025 begin with 591435191 relations and 440912630 unique ideals
  192. Tue Nov 4 23:26:43 2025 reduce to 591372221 relations and 436490485 ideals in 5 passes
  193. Tue Nov 4 23:26:43 2025 max relations containing the same ideal: 144
  194. Tue Nov 4 23:29:28 2025 removing 6336434 relations and 4336434 ideals in 2000000 cliques
  195. Tue Nov 4 23:29:38 2025 commencing in-memory singleton removal
  196. Tue Nov 4 23:30:21 2025 begin with 585035787 relations and 436490485 unique ideals
  197. Tue Nov 4 23:32:26 2025 reduce to 584972215 relations and 432090124 ideals in 5 passes
  198. Tue Nov 4 23:32:26 2025 max relations containing the same ideal: 144
  199. Tue Nov 4 23:35:10 2025 removing 6313268 relations and 4313268 ideals in 2000000 cliques
  200. Tue Nov 4 23:35:22 2025 commencing in-memory singleton removal
  201. Tue Nov 4 23:36:04 2025 begin with 578658947 relations and 432090124 unique ideals
  202. Tue Nov 4 23:38:08 2025 reduce to 578594831 relations and 427712401 ideals in 5 passes
  203. Tue Nov 4 23:38:08 2025 max relations containing the same ideal: 143
  204. Tue Nov 4 23:40:50 2025 removing 6294640 relations and 4294640 ideals in 2000000 cliques
  205. Tue Nov 4 23:41:01 2025 commencing in-memory singleton removal
  206. Tue Nov 4 23:41:42 2025 begin with 572300191 relations and 427712401 unique ideals
  207. Tue Nov 4 23:44:10 2025 reduce to 572235958 relations and 423353165 ideals in 6 passes
  208. Tue Nov 4 23:44:10 2025 max relations containing the same ideal: 142
  209. Tue Nov 4 23:46:50 2025 removing 6273771 relations and 4273771 ideals in 2000000 cliques
  210. Tue Nov 4 23:47:00 2025 commencing in-memory singleton removal
  211. Tue Nov 4 23:47:41 2025 begin with 565962187 relations and 423353165 unique ideals
  212. Tue Nov 4 23:50:05 2025 reduce to 565897318 relations and 419014134 ideals in 6 passes
  213. Tue Nov 4 23:50:05 2025 max relations containing the same ideal: 138
  214. Tue Nov 4 23:52:42 2025 removing 6257863 relations and 4257863 ideals in 2000000 cliques
  215. Tue Nov 4 23:52:53 2025 commencing in-memory singleton removal
  216. Tue Nov 4 23:53:32 2025 begin with 559639455 relations and 419014134 unique ideals
  217. Tue Nov 4 23:55:55 2025 reduce to 559573958 relations and 414690398 ideals in 6 passes
  218. Tue Nov 4 23:55:55 2025 max relations containing the same ideal: 136
  219. Tue Nov 4 23:58:30 2025 removing 6240572 relations and 4240572 ideals in 2000000 cliques
  220. Tue Nov 4 23:58:41 2025 commencing in-memory singleton removal
  221. Tue Nov 4 23:59:20 2025 begin with 553333386 relations and 414690398 unique ideals
  222. Wed Nov 5 00:01:40 2025 reduce to 553267341 relations and 410383367 ideals in 6 passes
  223. Wed Nov 5 00:01:40 2025 max relations containing the same ideal: 133
  224. Wed Nov 5 00:04:13 2025 removing 6222385 relations and 4222385 ideals in 2000000 cliques
  225. Wed Nov 5 00:04:24 2025 commencing in-memory singleton removal
  226. Wed Nov 5 00:05:03 2025 begin with 547044956 relations and 410383367 unique ideals
  227. Wed Nov 5 00:07:23 2025 reduce to 546978659 relations and 406094206 ideals in 6 passes
  228. Wed Nov 5 00:07:23 2025 max relations containing the same ideal: 133
  229. Wed Nov 5 00:09:56 2025 removing 6210948 relations and 4210948 ideals in 2000000 cliques
  230. Wed Nov 5 00:10:06 2025 commencing in-memory singleton removal
  231. Wed Nov 5 00:10:45 2025 begin with 540767711 relations and 406094206 unique ideals
  232. Wed Nov 5 00:13:02 2025 reduce to 540700531 relations and 401815634 ideals in 6 passes
  233. Wed Nov 5 00:13:02 2025 max relations containing the same ideal: 132
  234. Wed Nov 5 00:15:32 2025 removing 6195979 relations and 4195979 ideals in 2000000 cliques
  235. Wed Nov 5 00:15:42 2025 commencing in-memory singleton removal
  236. Wed Nov 5 00:16:21 2025 begin with 534504552 relations and 401815634 unique ideals
  237. Wed Nov 5 00:18:14 2025 reduce to 534437376 relations and 397551978 ideals in 5 passes
  238. Wed Nov 5 00:18:14 2025 max relations containing the same ideal: 131
  239. Wed Nov 5 00:20:42 2025 removing 6181581 relations and 4181581 ideals in 2000000 cliques
  240. Wed Nov 5 00:20:52 2025 commencing in-memory singleton removal
  241. Wed Nov 5 00:21:30 2025 begin with 528255795 relations and 397551978 unique ideals
  242. Wed Nov 5 00:23:43 2025 reduce to 528187790 relations and 393301883 ideals in 6 passes
  243. Wed Nov 5 00:23:43 2025 max relations containing the same ideal: 130
  244. Wed Nov 5 00:26:10 2025 removing 6173373 relations and 4173373 ideals in 2000000 cliques
  245. Wed Nov 5 00:26:19 2025 commencing in-memory singleton removal
  246. Wed Nov 5 00:26:56 2025 begin with 522014417 relations and 393301883 unique ideals
  247. Wed Nov 5 00:28:46 2025 reduce to 521945981 relations and 389059598 ideals in 5 passes
  248. Wed Nov 5 00:28:46 2025 max relations containing the same ideal: 129
  249. Wed Nov 5 00:31:11 2025 removing 6159461 relations and 4159461 ideals in 2000000 cliques
  250. Wed Nov 5 00:31:21 2025 commencing in-memory singleton removal
  251. Wed Nov 5 00:31:57 2025 begin with 515786520 relations and 389059598 unique ideals
  252. Wed Nov 5 00:34:29 2025 reduce to 515717110 relations and 384830213 ideals in 7 passes
  253. Wed Nov 5 00:34:29 2025 max relations containing the same ideal: 128
  254. Wed Nov 5 00:36:52 2025 removing 6152355 relations and 4152355 ideals in 2000000 cliques
  255. Wed Nov 5 00:37:01 2025 commencing in-memory singleton removal
  256. Wed Nov 5 00:37:38 2025 begin with 509564755 relations and 384830213 unique ideals
  257. Wed Nov 5 00:39:47 2025 reduce to 509494456 relations and 380606995 ideals in 6 passes
  258. Wed Nov 5 00:39:47 2025 max relations containing the same ideal: 126
  259. Wed Nov 5 00:42:08 2025 removing 6142102 relations and 4142102 ideals in 2000000 cliques
  260. Wed Nov 5 00:42:17 2025 commencing in-memory singleton removal
  261. Wed Nov 5 00:42:53 2025 begin with 503352354 relations and 380606995 unique ideals
  262. Wed Nov 5 00:44:39 2025 reduce to 503281365 relations and 376393372 ideals in 5 passes
  263. Wed Nov 5 00:44:39 2025 max relations containing the same ideal: 126
  264. Wed Nov 5 00:46:59 2025 removing 6136895 relations and 4136895 ideals in 2000000 cliques
  265. Wed Nov 5 00:47:08 2025 commencing in-memory singleton removal
  266. Wed Nov 5 00:47:43 2025 begin with 497144470 relations and 376393372 unique ideals
  267. Wed Nov 5 00:49:28 2025 reduce to 497073139 relations and 372184569 ideals in 5 passes
  268. Wed Nov 5 00:49:28 2025 max relations containing the same ideal: 124
  269. Wed Nov 5 00:51:44 2025 removing 6126478 relations and 4126478 ideals in 2000000 cliques
  270. Wed Nov 5 00:51:53 2025 commencing in-memory singleton removal
  271. Wed Nov 5 00:52:27 2025 begin with 490946661 relations and 372184569 unique ideals
  272. Wed Nov 5 00:54:30 2025 reduce to 490874811 relations and 367985678 ideals in 6 passes
  273. Wed Nov 5 00:54:30 2025 max relations containing the same ideal: 123
  274. Wed Nov 5 00:56:43 2025 removing 6121395 relations and 4121395 ideals in 2000000 cliques
  275. Wed Nov 5 00:56:52 2025 commencing in-memory singleton removal
  276. Wed Nov 5 00:57:26 2025 begin with 484753416 relations and 367985678 unique ideals
  277. Wed Nov 5 00:59:27 2025 reduce to 484680435 relations and 363790738 ideals in 6 passes
  278. Wed Nov 5 00:59:27 2025 max relations containing the same ideal: 122
  279. Wed Nov 5 01:01:38 2025 removing 6116996 relations and 4116996 ideals in 2000000 cliques
  280. Wed Nov 5 01:01:46 2025 commencing in-memory singleton removal
  281. Wed Nov 5 01:02:20 2025 begin with 478563439 relations and 363790738 unique ideals
  282. Wed Nov 5 01:04:19 2025 reduce to 478489852 relations and 359599539 ideals in 6 passes
  283. Wed Nov 5 01:04:19 2025 max relations containing the same ideal: 120
  284. Wed Nov 5 01:06:26 2025 removing 6108902 relations and 4108902 ideals in 2000000 cliques
  285. Wed Nov 5 01:06:36 2025 commencing in-memory singleton removal
  286. Wed Nov 5 01:07:09 2025 begin with 472380950 relations and 359599539 unique ideals
  287. Wed Nov 5 01:09:06 2025 reduce to 472306001 relations and 355415057 ideals in 6 passes
  288. Wed Nov 5 01:09:06 2025 max relations containing the same ideal: 119
  289. Wed Nov 5 01:11:11 2025 removing 6105900 relations and 4105900 ideals in 2000000 cliques
  290. Wed Nov 5 01:11:20 2025 commencing in-memory singleton removal
  291. Wed Nov 5 01:11:53 2025 begin with 466200101 relations and 355415057 unique ideals
  292. Wed Nov 5 01:13:49 2025 reduce to 466124141 relations and 351232619 ideals in 6 passes
  293. Wed Nov 5 01:13:49 2025 max relations containing the same ideal: 118
  294. Wed Nov 5 01:15:52 2025 removing 6103515 relations and 4103515 ideals in 2000000 cliques
  295. Wed Nov 5 01:16:00 2025 commencing in-memory singleton removal
  296. Wed Nov 5 01:16:32 2025 begin with 460020626 relations and 351232619 unique ideals
  297. Wed Nov 5 01:18:26 2025 reduce to 459943647 relations and 347051494 ideals in 6 passes
  298. Wed Nov 5 01:18:26 2025 max relations containing the same ideal: 117
  299. Wed Nov 5 01:20:28 2025 removing 6100381 relations and 4100381 ideals in 2000000 cliques
  300. Wed Nov 5 01:20:36 2025 commencing in-memory singleton removal
  301. Wed Nov 5 01:21:08 2025 begin with 453843266 relations and 347051494 unique ideals
  302. Wed Nov 5 01:23:00 2025 reduce to 453765622 relations and 342872768 ideals in 6 passes
  303. Wed Nov 5 01:23:00 2025 max relations containing the same ideal: 116
  304. Wed Nov 5 01:25:00 2025 removing 6096976 relations and 4096976 ideals in 2000000 cliques
  305. Wed Nov 5 01:25:09 2025 commencing in-memory singleton removal
  306. Wed Nov 5 01:25:40 2025 begin with 447668646 relations and 342872768 unique ideals
  307. Wed Nov 5 01:27:31 2025 reduce to 447589793 relations and 338696266 ideals in 6 passes
  308. Wed Nov 5 01:27:31 2025 max relations containing the same ideal: 115
  309. Wed Nov 5 01:29:29 2025 removing 6095725 relations and 4095725 ideals in 2000000 cliques
  310. Wed Nov 5 01:29:37 2025 commencing in-memory singleton removal
  311. Wed Nov 5 01:30:08 2025 begin with 441494068 relations and 338696266 unique ideals
  312. Wed Nov 5 01:31:57 2025 reduce to 441413856 relations and 334519626 ideals in 6 passes
  313. Wed Nov 5 01:31:57 2025 max relations containing the same ideal: 114
  314. Wed Nov 5 01:33:54 2025 removing 6093796 relations and 4093796 ideals in 2000000 cliques
  315. Wed Nov 5 01:34:03 2025 commencing in-memory singleton removal
  316. Wed Nov 5 01:34:33 2025 begin with 435320060 relations and 334519626 unique ideals
  317. Wed Nov 5 01:36:21 2025 reduce to 435240502 relations and 330345544 ideals in 6 passes
  318. Wed Nov 5 01:36:21 2025 max relations containing the same ideal: 113
  319. Wed Nov 5 01:38:16 2025 removing 6093622 relations and 4093622 ideals in 2000000 cliques
  320. Wed Nov 5 01:38:24 2025 commencing in-memory singleton removal
  321. Wed Nov 5 01:38:54 2025 begin with 429146880 relations and 330345544 unique ideals
  322. Wed Nov 5 01:40:22 2025 reduce to 429065451 relations and 326169780 ideals in 5 passes
  323. Wed Nov 5 01:40:22 2025 max relations containing the same ideal: 111
  324. Wed Nov 5 01:42:16 2025 removing 6096174 relations and 4096174 ideals in 2000000 cliques
  325. Wed Nov 5 01:42:24 2025 commencing in-memory singleton removal
  326. Wed Nov 5 01:42:54 2025 begin with 422969277 relations and 326169780 unique ideals
  327. Wed Nov 5 01:44:37 2025 reduce to 422887220 relations and 321990781 ideals in 6 passes
  328. Wed Nov 5 01:44:37 2025 max relations containing the same ideal: 111
  329. Wed Nov 5 01:46:29 2025 removing 6097998 relations and 4097998 ideals in 2000000 cliques
  330. Wed Nov 5 01:46:37 2025 commencing in-memory singleton removal
  331. Wed Nov 5 01:47:06 2025 begin with 416789222 relations and 321990781 unique ideals
  332. Wed Nov 5 01:48:48 2025 reduce to 416705691 relations and 317808465 ideals in 6 passes
  333. Wed Nov 5 01:48:48 2025 max relations containing the same ideal: 109
  334. Wed Nov 5 01:50:39 2025 removing 6098369 relations and 4098369 ideals in 2000000 cliques
  335. Wed Nov 5 01:50:47 2025 commencing in-memory singleton removal
  336. Wed Nov 5 01:51:16 2025 begin with 410607322 relations and 317808465 unique ideals
  337. Wed Nov 5 01:52:57 2025 reduce to 410522654 relations and 313624627 ideals in 6 passes
  338. Wed Nov 5 01:52:57 2025 max relations containing the same ideal: 109
  339. Wed Nov 5 01:54:45 2025 removing 6099969 relations and 4099969 ideals in 2000000 cliques
  340. Wed Nov 5 01:54:53 2025 commencing in-memory singleton removal
  341. Wed Nov 5 01:55:21 2025 begin with 404422685 relations and 313624627 unique ideals
  342. Wed Nov 5 01:57:00 2025 reduce to 404336657 relations and 309437804 ideals in 6 passes
  343. Wed Nov 5 01:57:00 2025 max relations containing the same ideal: 108
  344. Wed Nov 5 01:58:47 2025 removing 6104382 relations and 4104382 ideals in 2000000 cliques
  345. Wed Nov 5 01:58:55 2025 commencing in-memory singleton removal
  346. Wed Nov 5 01:59:22 2025 begin with 398232275 relations and 309437804 unique ideals
  347. Wed Nov 5 02:01:00 2025 reduce to 398145620 relations and 305245944 ideals in 6 passes
  348. Wed Nov 5 02:01:00 2025 max relations containing the same ideal: 106
  349. Wed Nov 5 02:02:45 2025 removing 6108595 relations and 4108595 ideals in 2000000 cliques
  350. Wed Nov 5 02:02:52 2025 commencing in-memory singleton removal
  351. Wed Nov 5 02:03:19 2025 begin with 392037025 relations and 305245944 unique ideals
  352. Wed Nov 5 02:04:55 2025 reduce to 391947878 relations and 301047329 ideals in 6 passes
  353. Wed Nov 5 02:04:55 2025 max relations containing the same ideal: 105
  354. Wed Nov 5 02:06:38 2025 removing 6113955 relations and 4113955 ideals in 2000000 cliques
  355. Wed Nov 5 02:06:46 2025 commencing in-memory singleton removal
  356. Wed Nov 5 02:07:13 2025 begin with 385833923 relations and 301047329 unique ideals
  357. Wed Nov 5 02:08:47 2025 reduce to 385744153 relations and 296842676 ideals in 6 passes
  358. Wed Nov 5 02:08:47 2025 max relations containing the same ideal: 105
  359. Wed Nov 5 02:10:28 2025 removing 6120239 relations and 4120239 ideals in 2000000 cliques
  360. Wed Nov 5 02:10:36 2025 commencing in-memory singleton removal
  361. Wed Nov 5 02:11:02 2025 begin with 379623914 relations and 296842676 unique ideals
  362. Wed Nov 5 02:12:35 2025 reduce to 379532677 relations and 292630285 ideals in 6 passes
  363. Wed Nov 5 02:12:35 2025 max relations containing the same ideal: 104
  364. Wed Nov 5 02:14:14 2025 removing 6128013 relations and 4128013 ideals in 2000000 cliques
  365. Wed Nov 5 02:14:22 2025 commencing in-memory singleton removal
  366. Wed Nov 5 02:14:48 2025 begin with 373404664 relations and 292630285 unique ideals
  367. Wed Nov 5 02:16:19 2025 reduce to 373311815 relations and 288408440 ideals in 6 passes
  368. Wed Nov 5 02:16:19 2025 max relations containing the same ideal: 103
  369. Wed Nov 5 02:17:57 2025 removing 6133404 relations and 4133404 ideals in 2000000 cliques
  370. Wed Nov 5 02:18:05 2025 commencing in-memory singleton removal
  371. Wed Nov 5 02:18:30 2025 begin with 367178411 relations and 288408440 unique ideals
  372. Wed Nov 5 02:19:45 2025 reduce to 367084213 relations and 284179858 ideals in 5 passes
  373. Wed Nov 5 02:19:45 2025 max relations containing the same ideal: 103
  374. Wed Nov 5 02:21:21 2025 removing 6140026 relations and 4140026 ideals in 2000000 cliques
  375. Wed Nov 5 02:21:28 2025 commencing in-memory singleton removal
  376. Wed Nov 5 02:21:53 2025 begin with 360944187 relations and 284179858 unique ideals
  377. Wed Nov 5 02:23:20 2025 reduce to 360847597 relations and 279942242 ideals in 6 passes
  378. Wed Nov 5 02:23:20 2025 max relations containing the same ideal: 101
  379. Wed Nov 5 02:24:55 2025 removing 6147703 relations and 4147703 ideals in 2000000 cliques
  380. Wed Nov 5 02:25:02 2025 commencing in-memory singleton removal
  381. Wed Nov 5 02:25:27 2025 begin with 354699894 relations and 279942242 unique ideals
  382. Wed Nov 5 02:26:53 2025 reduce to 354601576 relations and 275695197 ideals in 6 passes
  383. Wed Nov 5 02:26:53 2025 max relations containing the same ideal: 99
  384. Wed Nov 5 02:28:26 2025 removing 6156503 relations and 4156503 ideals in 2000000 cliques
  385. Wed Nov 5 02:28:33 2025 commencing in-memory singleton removal
  386. Wed Nov 5 02:28:57 2025 begin with 348445073 relations and 275695197 unique ideals
  387. Wed Nov 5 02:30:21 2025 reduce to 348345179 relations and 271437767 ideals in 6 passes
  388. Wed Nov 5 02:30:21 2025 max relations containing the same ideal: 97
  389. Wed Nov 5 02:31:53 2025 removing 6166929 relations and 4166929 ideals in 2000000 cliques
  390. Wed Nov 5 02:31:59 2025 commencing in-memory singleton removal
  391. Wed Nov 5 02:32:23 2025 begin with 342178250 relations and 271437767 unique ideals
  392. Wed Nov 5 02:33:45 2025 reduce to 342076801 relations and 267168281 ideals in 6 passes
  393. Wed Nov 5 02:33:45 2025 max relations containing the same ideal: 97
  394. Wed Nov 5 02:35:15 2025 removing 6177859 relations and 4177859 ideals in 2000000 cliques
  395. Wed Nov 5 02:35:22 2025 commencing in-memory singleton removal
  396. Wed Nov 5 02:35:45 2025 begin with 335898942 relations and 267168281 unique ideals
  397. Wed Nov 5 02:37:06 2025 reduce to 335795596 relations and 262885998 ideals in 6 passes
  398. Wed Nov 5 02:37:06 2025 max relations containing the same ideal: 97
  399. Wed Nov 5 02:38:35 2025 removing 6194857 relations and 4194857 ideals in 2000000 cliques
  400. Wed Nov 5 02:38:42 2025 commencing in-memory singleton removal
  401. Wed Nov 5 02:39:05 2025 begin with 329600739 relations and 262885998 unique ideals
  402. Wed Nov 5 02:40:24 2025 reduce to 329495467 relations and 258584713 ideals in 6 passes
  403. Wed Nov 5 02:40:24 2025 max relations containing the same ideal: 96
  404. Wed Nov 5 02:41:51 2025 removing 6204880 relations and 4204880 ideals in 2000000 cliques
  405. Wed Nov 5 02:41:58 2025 commencing in-memory singleton removal
  406. Wed Nov 5 02:42:20 2025 begin with 323290587 relations and 258584713 unique ideals
  407. Wed Nov 5 02:43:37 2025 reduce to 323182264 relations and 254270311 ideals in 6 passes
  408. Wed Nov 5 02:43:37 2025 max relations containing the same ideal: 94
  409. Wed Nov 5 02:45:03 2025 removing 6219292 relations and 4219292 ideals in 2000000 cliques
  410. Wed Nov 5 02:45:09 2025 commencing in-memory singleton removal
  411. Wed Nov 5 02:45:31 2025 begin with 316962972 relations and 254270311 unique ideals
  412. Wed Nov 5 02:46:46 2025 reduce to 316853163 relations and 249939949 ideals in 6 passes
  413. Wed Nov 5 02:46:46 2025 max relations containing the same ideal: 93
  414. Wed Nov 5 02:48:11 2025 removing 6236329 relations and 4236329 ideals in 2000000 cliques
  415. Wed Nov 5 02:48:18 2025 commencing in-memory singleton removal
  416. Wed Nov 5 02:48:39 2025 begin with 310616834 relations and 249939949 unique ideals
  417. Wed Nov 5 02:49:42 2025 reduce to 310504227 relations and 245589752 ideals in 5 passes
  418. Wed Nov 5 02:49:42 2025 max relations containing the same ideal: 91
  419. Wed Nov 5 02:51:05 2025 removing 6256068 relations and 4256068 ideals in 2000000 cliques
  420. Wed Nov 5 02:51:11 2025 commencing in-memory singleton removal
  421. Wed Nov 5 02:51:32 2025 begin with 304248159 relations and 245589752 unique ideals
  422. Wed Nov 5 02:52:44 2025 reduce to 304133148 relations and 241217370 ideals in 6 passes
  423. Wed Nov 5 02:52:44 2025 max relations containing the same ideal: 90
  424. Wed Nov 5 02:54:06 2025 removing 6275776 relations and 4275776 ideals in 2000000 cliques
  425. Wed Nov 5 02:54:12 2025 commencing in-memory singleton removal
  426. Wed Nov 5 02:54:32 2025 begin with 297857372 relations and 241217370 unique ideals
  427. Wed Nov 5 02:55:55 2025 reduce to 297739574 relations and 236822527 ideals in 7 passes
  428. Wed Nov 5 02:55:55 2025 max relations containing the same ideal: 85
  429. Wed Nov 5 02:57:15 2025 removing 6295348 relations and 4295348 ideals in 2000000 cliques
  430. Wed Nov 5 02:57:21 2025 commencing in-memory singleton removal
  431. Wed Nov 5 02:57:41 2025 begin with 291444226 relations and 236822527 unique ideals
  432. Wed Nov 5 02:58:50 2025 reduce to 291322945 relations and 232404554 ideals in 6 passes
  433. Wed Nov 5 02:58:50 2025 max relations containing the same ideal: 85
  434. Wed Nov 5 03:00:09 2025 removing 6314534 relations and 4314534 ideals in 2000000 cliques
  435. Wed Nov 5 03:00:15 2025 commencing in-memory singleton removal
  436. Wed Nov 5 03:00:34 2025 begin with 285008411 relations and 232404554 unique ideals
  437. Wed Nov 5 03:01:41 2025 reduce to 284885627 relations and 227965858 ideals in 6 passes
  438. Wed Nov 5 03:01:41 2025 max relations containing the same ideal: 84
  439. Wed Nov 5 03:02:58 2025 removing 6337976 relations and 4337976 ideals in 2000000 cliques
  440. Wed Nov 5 03:03:04 2025 commencing in-memory singleton removal
  441. Wed Nov 5 03:03:23 2025 begin with 278547651 relations and 227965858 unique ideals
  442. Wed Nov 5 03:04:29 2025 reduce to 278421309 relations and 223500057 ideals in 6 passes
  443. Wed Nov 5 03:04:29 2025 max relations containing the same ideal: 84
  444. Wed Nov 5 03:05:44 2025 removing 6362943 relations and 4362943 ideals in 2000000 cliques
  445. Wed Nov 5 03:05:50 2025 commencing in-memory singleton removal
  446. Wed Nov 5 03:06:08 2025 begin with 272058366 relations and 223500057 unique ideals
  447. Wed Nov 5 03:07:12 2025 reduce to 271928326 relations and 219005626 ideals in 6 passes
  448. Wed Nov 5 03:07:12 2025 max relations containing the same ideal: 83
  449. Wed Nov 5 03:08:26 2025 removing 6391340 relations and 4391340 ideals in 2000000 cliques
  450. Wed Nov 5 03:08:32 2025 commencing in-memory singleton removal
  451. Wed Nov 5 03:08:49 2025 begin with 265536986 relations and 219005626 unique ideals
  452. Wed Nov 5 03:10:02 2025 reduce to 265404036 relations and 214479789 ideals in 7 passes
  453. Wed Nov 5 03:10:02 2025 max relations containing the same ideal: 80
  454. Wed Nov 5 03:11:15 2025 removing 6420414 relations and 4420414 ideals in 2000000 cliques
  455. Wed Nov 5 03:11:20 2025 commencing in-memory singleton removal
  456. Wed Nov 5 03:11:37 2025 begin with 258983622 relations and 214479789 unique ideals
  457. Wed Nov 5 03:12:38 2025 reduce to 258846692 relations and 209920814 ideals in 6 passes
  458. Wed Nov 5 03:12:38 2025 max relations containing the same ideal: 79
  459. Wed Nov 5 03:13:47 2025 removing 6450813 relations and 4450813 ideals in 2000000 cliques
  460. Wed Nov 5 03:13:52 2025 commencing in-memory singleton removal
  461. Wed Nov 5 03:14:09 2025 begin with 252395879 relations and 209920814 unique ideals
  462. Wed Nov 5 03:15:08 2025 reduce to 252254136 relations and 205326653 ideals in 6 passes
  463. Wed Nov 5 03:15:08 2025 max relations containing the same ideal: 79
  464. Wed Nov 5 03:16:15 2025 removing 6488838 relations and 4488838 ideals in 2000000 cliques
  465. Wed Nov 5 03:16:21 2025 commencing in-memory singleton removal
  466. Wed Nov 5 03:16:37 2025 begin with 245765298 relations and 205326653 unique ideals
  467. Wed Nov 5 03:17:34 2025 reduce to 245618994 relations and 200689961 ideals in 6 passes
  468. Wed Nov 5 03:17:34 2025 max relations containing the same ideal: 78
  469. Wed Nov 5 03:18:40 2025 removing 6522393 relations and 4522393 ideals in 2000000 cliques
  470. Wed Nov 5 03:18:45 2025 commencing in-memory singleton removal
  471. Wed Nov 5 03:19:01 2025 begin with 239096601 relations and 200689961 unique ideals
  472. Wed Nov 5 03:19:56 2025 reduce to 238946921 relations and 196016219 ideals in 6 passes
  473. Wed Nov 5 03:19:56 2025 max relations containing the same ideal: 78
  474. Wed Nov 5 03:21:00 2025 removing 6561488 relations and 4561488 ideals in 2000000 cliques
  475. Wed Nov 5 03:21:05 2025 commencing in-memory singleton removal
  476. Wed Nov 5 03:21:20 2025 begin with 232385433 relations and 196016219 unique ideals
  477. Wed Nov 5 03:22:14 2025 reduce to 232229349 relations and 191296870 ideals in 6 passes
  478. Wed Nov 5 03:22:14 2025 max relations containing the same ideal: 76
  479. Wed Nov 5 03:23:17 2025 removing 6603211 relations and 4603211 ideals in 2000000 cliques
  480. Wed Nov 5 03:23:22 2025 commencing in-memory singleton removal
  481. Wed Nov 5 03:23:36 2025 begin with 225626138 relations and 191296870 unique ideals
  482. Wed Nov 5 03:24:37 2025 reduce to 225464222 relations and 186529840 ideals in 7 passes
  483. Wed Nov 5 03:24:37 2025 max relations containing the same ideal: 76
  484. Wed Nov 5 03:25:38 2025 removing 6647509 relations and 4647509 ideals in 2000000 cliques
  485. Wed Nov 5 03:25:43 2025 commencing in-memory singleton removal
  486. Wed Nov 5 03:25:57 2025 begin with 218816713 relations and 186529840 unique ideals
  487. Wed Nov 5 03:26:47 2025 reduce to 218649333 relations and 181713051 ideals in 6 passes
  488. Wed Nov 5 03:26:47 2025 max relations containing the same ideal: 74
  489. Wed Nov 5 03:27:46 2025 removing 6695091 relations and 4695091 ideals in 2000000 cliques
  490. Wed Nov 5 03:27:51 2025 commencing in-memory singleton removal
  491. Wed Nov 5 03:28:05 2025 begin with 211954242 relations and 181713051 unique ideals
  492. Wed Nov 5 03:29:02 2025 reduce to 211780758 relations and 176842516 ideals in 7 passes
  493. Wed Nov 5 03:29:02 2025 max relations containing the same ideal: 73
  494. Wed Nov 5 03:29:59 2025 removing 6743623 relations and 4743623 ideals in 2000000 cliques
  495. Wed Nov 5 03:30:04 2025 commencing in-memory singleton removal
  496. Wed Nov 5 03:30:17 2025 begin with 205037135 relations and 176842516 unique ideals
  497. Wed Nov 5 03:31:12 2025 reduce to 204855951 relations and 171915672 ideals in 7 passes
  498. Wed Nov 5 03:31:12 2025 max relations containing the same ideal: 73
  499. Wed Nov 5 03:32:08 2025 removing 6800501 relations and 4800501 ideals in 2000000 cliques
  500. Wed Nov 5 03:32:12 2025 commencing in-memory singleton removal
  501. Wed Nov 5 03:32:25 2025 begin with 198055450 relations and 171915672 unique ideals
  502. Wed Nov 5 03:33:10 2025 reduce to 197866120 relations and 166923674 ideals in 6 passes
  503. Wed Nov 5 03:33:10 2025 max relations containing the same ideal: 70
  504. Wed Nov 5 03:34:04 2025 removing 6861066 relations and 4861066 ideals in 2000000 cliques
  505. Wed Nov 5 03:34:08 2025 commencing in-memory singleton removal
  506. Wed Nov 5 03:34:21 2025 begin with 191005054 relations and 166923674 unique ideals
  507. Wed Nov 5 03:35:11 2025 reduce to 190806994 relations and 161862181 ideals in 7 passes
  508. Wed Nov 5 03:35:11 2025 max relations containing the same ideal: 68
  509. Wed Nov 5 03:36:04 2025 removing 6930921 relations and 4930921 ideals in 2000000 cliques
  510. Wed Nov 5 03:36:08 2025 commencing in-memory singleton removal
  511. Wed Nov 5 03:36:20 2025 begin with 183876073 relations and 161862181 unique ideals
  512. Wed Nov 5 03:37:08 2025 reduce to 183666913 relations and 156719621 ideals in 7 passes
  513. Wed Nov 5 03:37:08 2025 max relations containing the same ideal: 67
  514. Wed Nov 5 03:37:59 2025 removing 7000470 relations and 5000470 ideals in 2000000 cliques
  515. Wed Nov 5 03:38:03 2025 commencing in-memory singleton removal
  516. Wed Nov 5 03:38:14 2025 begin with 176666443 relations and 156719621 unique ideals
  517. Wed Nov 5 03:39:01 2025 reduce to 176446545 relations and 151496706 ideals in 7 passes
  518. Wed Nov 5 03:39:01 2025 max relations containing the same ideal: 67
  519. Wed Nov 5 03:39:50 2025 removing 7074893 relations and 5074893 ideals in 2000000 cliques
  520. Wed Nov 5 03:39:54 2025 commencing in-memory singleton removal
  521. Wed Nov 5 03:40:05 2025 begin with 169371652 relations and 151496706 unique ideals
  522. Wed Nov 5 03:40:49 2025 reduce to 169139501 relations and 146186970 ideals in 7 passes
  523. Wed Nov 5 03:40:49 2025 max relations containing the same ideal: 61
  524. Wed Nov 5 03:41:36 2025 removing 7163260 relations and 5163260 ideals in 2000000 cliques
  525. Wed Nov 5 03:41:40 2025 commencing in-memory singleton removal
  526. Wed Nov 5 03:41:50 2025 begin with 161976241 relations and 146186970 unique ideals
  527. Wed Nov 5 03:42:32 2025 reduce to 161730184 relations and 140774701 ideals in 7 passes
  528. Wed Nov 5 03:42:32 2025 max relations containing the same ideal: 60
  529. Wed Nov 5 03:43:17 2025 removing 7252458 relations and 5252458 ideals in 2000000 cliques
  530. Wed Nov 5 03:43:21 2025 commencing in-memory singleton removal
  531. Wed Nov 5 03:43:31 2025 begin with 154477726 relations and 140774701 unique ideals
  532. Wed Nov 5 03:44:05 2025 reduce to 154214867 relations and 135256051 ideals in 6 passes
  533. Wed Nov 5 03:44:05 2025 max relations containing the same ideal: 57
  534. Wed Nov 5 03:44:49 2025 removing 7350217 relations and 5350217 ideals in 2000000 cliques
  535. Wed Nov 5 03:44:52 2025 commencing in-memory singleton removal
  536. Wed Nov 5 03:45:02 2025 begin with 146864650 relations and 135256051 unique ideals
  537. Wed Nov 5 03:45:39 2025 reduce to 146583855 relations and 129621442 ideals in 7 passes
  538. Wed Nov 5 03:45:39 2025 max relations containing the same ideal: 54
  539. Wed Nov 5 03:46:21 2025 removing 7466908 relations and 5466908 ideals in 2000000 cliques
  540. Wed Nov 5 03:46:25 2025 commencing in-memory singleton removal
  541. Wed Nov 5 03:46:33 2025 begin with 139116947 relations and 129621442 unique ideals
  542. Wed Nov 5 03:47:08 2025 reduce to 138811766 relations and 123845285 ideals in 7 passes
  543. Wed Nov 5 03:47:08 2025 max relations containing the same ideal: 54
  544. Wed Nov 5 03:47:48 2025 removing 7587176 relations and 5587176 ideals in 2000000 cliques
  545. Wed Nov 5 03:47:51 2025 commencing in-memory singleton removal
  546. Wed Nov 5 03:47:59 2025 begin with 131224590 relations and 123845285 unique ideals
  547. Wed Nov 5 03:48:37 2025 reduce to 130892482 relations and 117921533 ideals in 8 passes
  548. Wed Nov 5 03:48:37 2025 max relations containing the same ideal: 51
  549. Wed Nov 5 03:49:15 2025 removing 7722382 relations and 5722382 ideals in 2000000 cliques
  550. Wed Nov 5 03:49:18 2025 commencing in-memory singleton removal
  551. Wed Nov 5 03:49:25 2025 begin with 123170100 relations and 117921533 unique ideals
  552. Wed Nov 5 03:50:00 2025 reduce to 122807155 relations and 111831266 ideals in 8 passes
  553. Wed Nov 5 03:50:00 2025 max relations containing the same ideal: 49
  554. Wed Nov 5 03:50:36 2025 removing 7870100 relations and 5870100 ideals in 2000000 cliques
  555. Wed Nov 5 03:50:39 2025 commencing in-memory singleton removal
  556. Wed Nov 5 03:50:46 2025 begin with 114937055 relations and 111831266 unique ideals
  557. Wed Nov 5 03:51:19 2025 reduce to 114533881 relations and 105552229 ideals in 8 passes
  558. Wed Nov 5 03:51:19 2025 max relations containing the same ideal: 46
  559. Wed Nov 5 03:51:53 2025 removing 1371353 relations and 1126541 ideals in 244812 cliques
  560. Wed Nov 5 03:51:55 2025 commencing in-memory singleton removal
  561. Wed Nov 5 03:52:02 2025 begin with 113162528 relations and 105552229 unique ideals
  562. Wed Nov 5 03:52:26 2025 reduce to 113151506 relations and 104414644 ideals in 6 passes
  563. Wed Nov 5 03:52:26 2025 max relations containing the same ideal: 46
  564. Wed Nov 5 03:52:38 2025 relations with 0 large ideals: 527291
  565. Wed Nov 5 03:52:38 2025 relations with 1 large ideals: 871821
  566. Wed Nov 5 03:52:38 2025 relations with 2 large ideals: 5243258
  567. Wed Nov 5 03:52:38 2025 relations with 3 large ideals: 16322469
  568. Wed Nov 5 03:52:38 2025 relations with 4 large ideals: 28824277
  569. Wed Nov 5 03:52:38 2025 relations with 5 large ideals: 30751034
  570. Wed Nov 5 03:52:38 2025 relations with 6 large ideals: 21139424
  571. Wed Nov 5 03:52:38 2025 relations with 7+ large ideals: 9471932
  572. Wed Nov 5 03:52:38 2025 commencing 2-way merge
  573. Wed Nov 5 03:53:30 2025 reduce to 69811746 relation sets and 61074884 unique ideals
  574. Wed Nov 5 03:53:30 2025 commencing full merge
  575. Wed Nov 5 04:07:29 2025 memory use: 7279.3 MB
  576. Wed Nov 5 04:07:33 2025 found 30470223 cycles, need 29703084
  577. Wed Nov 5 04:07:42 2025 weight of 29703084 cycles is about 4010597907 (135.02/cycle)
  578. Wed Nov 5 04:07:42 2025 distribution of cycle lengths:
  579. Wed Nov 5 04:07:42 2025 1 relations: 1976346
  580. Wed Nov 5 04:07:42 2025 2 relations: 1658215
  581. Wed Nov 5 04:07:42 2025 3 relations: 1698431
  582. Wed Nov 5 04:07:42 2025 4 relations: 1721492
  583. Wed Nov 5 04:07:42 2025 5 relations: 1779321
  584. Wed Nov 5 04:07:42 2025 6 relations: 1806889
  585. Wed Nov 5 04:07:42 2025 7 relations: 1814112
  586. Wed Nov 5 04:07:42 2025 8 relations: 1809281
  587. Wed Nov 5 04:07:42 2025 9 relations: 1774513
  588. Wed Nov 5 04:07:42 2025 10+ relations: 13664484
  589. Wed Nov 5 04:07:42 2025 heaviest cycle: 28 relations
  590. Wed Nov 5 04:07:47 2025 commencing cycle optimization
  591. Wed Nov 5 04:08:34 2025 start with 281089400 relations
  592. Wed Nov 5 04:15:44 2025 pruned 13143685 relations
  593. Wed Nov 5 04:15:44 2025 memory use: 7389.5 MB
  594. Wed Nov 5 04:15:45 2025 distribution of cycle lengths:
  595. Wed Nov 5 04:15:45 2025 1 relations: 1976346
  596. Wed Nov 5 04:15:45 2025 2 relations: 1693033
  597. Wed Nov 5 04:15:45 2025 3 relations: 1763613
  598. Wed Nov 5 04:15:45 2025 4 relations: 1791668
  599. Wed Nov 5 04:15:45 2025 5 relations: 1871698
  600. Wed Nov 5 04:15:45 2025 6 relations: 1902438
  601. Wed Nov 5 04:15:45 2025 7 relations: 1924855
  602. Wed Nov 5 04:15:45 2025 8 relations: 1917737
  603. Wed Nov 5 04:15:45 2025 9 relations: 1887315
  604. Wed Nov 5 04:15:45 2025 10+ relations: 12974381
  605. Wed Nov 5 04:15:45 2025 heaviest cycle: 28 relations
  606. Wed Nov 5 04:16:59 2025 RelProcTime: 50933
  607. Wed Nov 5 04:16:59 2025
  608. Wed Nov 5 04:16:59 2025 commencing linear algebra
  609. Wed Nov 5 04:16:59 2025 using VBITS=256
  610. Wed Nov 5 04:17:00 2025 read 29703084 cycles
  611. Wed Nov 5 04:17:43 2025 cycles contain 108654673 unique relations
  612. Wed Nov 5 04:37:54 2025 read 108654673 relations
  613. Wed Nov 5 04:41:00 2025 using 20 quadratic characters above 4294917295
  614. Wed Nov 5 04:47:15 2025 building initial matrix
  615. Wed Nov 5 05:09:58 2025 memory use: 14193.5 MB
  616. Wed Nov 5 05:10:11 2025 read 29703084 cycles
  617. Wed Nov 5 05:10:15 2025 matrix is 29702903 x 29703084 (15482.2 MB) with weight 4385072648 (147.63/col)
  618. Wed Nov 5 05:10:15 2025 sparse part has weight 3731843612 (125.64/col)
  619. Wed Nov 5 05:15:40 2025 filtering completed in 2 passes
  620. Wed Nov 5 05:15:45 2025 matrix is 29699536 x 29699702 (15481.7 MB) with weight 4384903423 (147.64/col)
  621. Wed Nov 5 05:15:45 2025 sparse part has weight 3731748459 (125.65/col)
  622. Wed Nov 5 05:24:50 2025 matrix starts at (0, 0)
  623. Wed Nov 5 05:24:53 2025 matrix is 29699536 x 29699702 (15481.7 MB) with weight 4384903423 (147.64/col)
  624. Wed Nov 5 05:24:53 2025 sparse part has weight 3731748459 (125.65/col)
  625. Wed Nov 5 05:24:53 2025 saving the first 240 matrix rows for later
  626. Wed Nov 5 05:24:58 2025 matrix includes 256 packed rows
  627. Wed Nov 5 05:25:04 2025 matrix is 29699296 x 29699702 (14319.4 MB) with weight 3437204746 (115.73/col)
  628. Wed Nov 5 05:25:04 2025 sparse part has weight 3278541591 (110.39/col)
  629. Wed Nov 5 05:25:04 2025 using GPU 1 (NVIDIA L40S)
  630. Wed Nov 5 05:25:04 2025 selected card has CUDA arch 8.9
  631. Nonzeros per block: 1750000000
  632. converting matrix to CSR and copying it onto the GPU
  633. 1750000077 29699296 15910613
  634. 1528541514 29699296 13789089
  635. 1612415483 29699702 427235
  636. 1607033594 29699702 23715890
  637. 59092514 29699702 5556171
  638. commencing Lanczos iteration
  639. vector memory use: 6344.5 MB
  640. dense rows memory use: 906.4 MB
  641. sparse matrix memory use: 25579.8 MB
  642. memory use: 32830.7 MB
  643. Allocated 1278.5 MB for SpMV library
  644. Wed Nov 5 05:29:20 2025 commencing Lanczos iteration
  645. Wed Nov 5 05:29:22 2025 memory use: 32830.7 MB
  646. Wed Nov 5 05:33:31 2025 linear algebra at 0.1%, ETA 30h 51m
  647. Wed Nov 5 05:39:42 2025 checking every 10000 dimensions, checkpointing every 230000 dimensions
  648. Thu Nov 6 11:14:34 2025 lanczos halted after 116362 iterations (dim = 29699291)
  649. Thu Nov 6 11:16:10 2025 recovered 33 nontrivial dependencies
  650. Thu Nov 6 11:16:11 2025 BLanczosTime: 111552
  651. Thu Nov 6 11:16:11 2025
  652. Thu Nov 6 11:16:11 2025 commencing square root phase
  653. Thu Nov 6 11:16:11 2025 handling dependencies 1 to 64
  654. Thu Nov 6 11:16:11 2025 reading relations for dependency 1
  655. Thu Nov 6 11:16:14 2025 read 14848756 cycles
  656. Thu Nov 6 11:16:35 2025 cycles contain 54328530 unique relations
  657. Thu Nov 6 11:33:42 2025 read 54328530 relations
  658. Thu Nov 6 11:36:43 2025 multiplying 54328530 relations
  659. Thu Nov 6 11:58:04 2025 multiply complete, coefficients have about 1505.28 million bits
  660. Thu Nov 6 11:58:08 2025 initial square root is modulo 5653049
  661. Thu Nov 6 12:16:56 2025 sqrtTime: 3645
  662. Thu Nov 6 12:16:56 2025 p112 factor: 9656768142308730634632587558450771203409914067094578795199305526852436142039237437004567530995621528208443956609
  663. Thu Nov 6 12:16:56 2025 p127 factor: 3743706544579432788991180149041583352004354616292128532368812393399081182508281367723995217320735357826910318509168782473659663
  664. Thu Nov 6 12:16:56 2025 elapsed time 46:08:51
  665.  
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