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Jul 10th, 2026
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  1. Tue Jul 7 15:52:00 2026 Msieve v. 1.54 (SVN Unversioned directory)
  2. Tue Jul 7 15:52:00 2026 random seeds: 38c3bf0e 1c6a726b
  3. Tue Jul 7 15:52:00 2026 Using 2 OpenMP threads
  4. Tue Jul 7 15:52:00 2026 factoring 116232408184684213366880084136576050722355541037000917857394104779533663906837858444811442775174846550634268012905836966413818988269358585916005026340595852449631547706109328229705146582033839142973341912623870915724581467016865764312102009 (240 digits)
  5. Tue Jul 7 15:52:02 2026 no P-1/P+1/ECM available, skipping
  6. Tue Jul 7 15:52:02 2026 commencing number field sieve (240-digit input)
  7. Tue Jul 7 15:52:02 2026 R0: 151160602744299412106498077718357047252242637
  8. Tue Jul 7 15:52:02 2026 R1: -1
  9. Tue Jul 7 15:52:02 2026 A0: -397
  10. Tue Jul 7 15:52:02 2026 A1: 0
  11. Tue Jul 7 15:52:02 2026 A2: 0
  12. Tue Jul 7 15:52:02 2026 A3: 0
  13. Tue Jul 7 15:52:02 2026 A4: 0
  14. Tue Jul 7 15:52:02 2026 A5: 0
  15. Tue Jul 7 15:52:02 2026 A6: 1
  16. Tue Jul 7 15:52:02 2026 skew 3.52, size 4.826e-13, alpha 0.219, combined = 6.703e-14 rroots = 2
  17. Tue Jul 7 15:52:02 2026
  18. Tue Jul 7 15:52:02 2026 commencing relation filtering
  19. Tue Jul 7 15:52:02 2026 setting target matrix density to 80.0
  20. Tue Jul 7 15:52:02 2026 estimated available RAM is 31871.6 MB
  21. Tue Jul 7 15:52:02 2026 commencing duplicate removal, pass 1
  22. Tue Jul 7 15:52:09 2026 error -1 reading relation 659837
  23. Tue Jul 7 15:52:46 2026 error -1 reading relation 5429941
  24. Tue Jul 7 15:53:49 2026 error -1 reading relation 13233948
  25. Tue Jul 7 15:54:19 2026 error -1 reading relation 16957115
  26. Tue Jul 7 15:54:45 2026 error -1 reading relation 20302847
  27. Tue Jul 7 15:54:59 2026 error -1 reading relation 22058946
  28. Tue Jul 7 15:55:10 2026 error -1 reading relation 23389022
  29. Tue Jul 7 15:55:37 2026 error -1 reading relation 26576296
  30. Tue Jul 7 15:55:38 2026 error -1 reading relation 26756491
  31. Tue Jul 7 15:55:46 2026 error -1 reading relation 27714315
  32. Tue Jul 7 15:56:08 2026 error -1 reading relation 30569551
  33. Tue Jul 7 15:56:25 2026 error -1 reading relation 32661497
  34. Tue Jul 7 15:57:19 2026 error -1 reading relation 39500567
  35. Tue Jul 7 15:57:24 2026 error -1 reading relation 40155670
  36. Tue Jul 7 15:57:24 2026 error -11 reading relation 40155671
  37. Tue Jul 7 15:57:29 2026 error -6 reading relation 40766384
  38. Tue Jul 7 15:57:49 2026 error -1 reading relation 43150151
  39. Tue Jul 7 15:58:30 2026 error -1 reading relation 48531604
  40. Tue Jul 7 15:58:32 2026 error -1 reading relation 48695739
  41. Tue Jul 7 15:59:14 2026 error -1 reading relation 54036894
  42. Tue Jul 7 16:00:03 2026 error -1 reading relation 59945724
  43. Tue Jul 7 16:00:05 2026 error -1 reading relation 60258744
  44. Tue Jul 7 16:00:30 2026 error -1 reading relation 63409436
  45. Tue Jul 7 16:00:38 2026 error -1 reading relation 64386683
  46. Tue Jul 7 16:00:40 2026 error -1 reading relation 64640993
  47. Tue Jul 7 16:01:06 2026 error -1 reading relation 67882483
  48. Tue Jul 7 16:01:10 2026 error -1 reading relation 68370179
  49. Tue Jul 7 16:01:10 2026 error -1 reading relation 68370180
  50. Tue Jul 7 16:01:23 2026 error -1 reading relation 69917724
  51. Tue Jul 7 16:01:29 2026 error -1 reading relation 70761643
  52. Tue Jul 7 16:01:36 2026 error -1 reading relation 71514122
  53. Tue Jul 7 16:01:45 2026 error -1 reading relation 72511633
  54. Tue Jul 7 16:02:10 2026 error -1 reading relation 75238539
  55. Tue Jul 7 16:02:13 2026 error -1 reading relation 75632132
  56. Tue Jul 7 16:02:26 2026 error -1 reading relation 77231541
  57. Tue Jul 7 16:02:35 2026 error -1 reading relation 78422279
  58. Tue Jul 7 16:02:43 2026 error -1 reading relation 79544797
  59. Tue Jul 7 16:03:05 2026 error -1 reading relation 82191027
  60. Tue Jul 7 16:04:17 2026 error -1 reading relation 91088234
  61. Tue Jul 7 16:05:14 2026 error -1 reading relation 98138436
  62. Tue Jul 7 16:05:27 2026 error -1 reading relation 99743589
  63. Tue Jul 7 16:06:39 2026 error -1 reading relation 108582185
  64. Tue Jul 7 16:07:23 2026 error -1 reading relation 113801539
  65. Tue Jul 7 16:07:23 2026 error -1 reading relation 113831537
  66. Tue Jul 7 16:07:50 2026 error -1 reading relation 117111991
  67. Tue Jul 7 16:08:14 2026 error -1 reading relation 120102524
  68. Tue Jul 7 16:08:24 2026 error -1 reading relation 121334714
  69. Tue Jul 7 16:08:47 2026 error -1 reading relation 124220228
  70. Tue Jul 7 16:09:19 2026 error -1 reading relation 128112687
  71. Tue Jul 7 16:09:31 2026 error -1 reading relation 129562654
  72. Tue Jul 7 16:09:31 2026 error -1 reading relation 129562655
  73. Tue Jul 7 16:09:37 2026 error -11 reading relation 130315335
  74. Tue Jul 7 16:10:08 2026 error -1 reading relation 134025399
  75. Tue Jul 7 16:10:13 2026 error -1 reading relation 134606810
  76. Tue Jul 7 16:10:16 2026 error -1 reading relation 135049874
  77. Tue Jul 7 16:10:17 2026 error -1 reading relation 135094100
  78. Tue Jul 7 16:12:11 2026 error -1 reading relation 148591562
  79. Tue Jul 7 16:12:29 2026 error -1 reading relation 150842962
  80. Tue Jul 7 16:12:29 2026 error -1 reading relation 150884947
  81. Tue Jul 7 16:12:48 2026 error -1 reading relation 153064891
  82. Tue Jul 7 16:12:58 2026 error -15 reading relation 154212685
  83. Tue Jul 7 16:13:22 2026 error -1 reading relation 157071380
  84. Tue Jul 7 16:13:30 2026 error -1 reading relation 157987189
  85. Tue Jul 7 16:14:04 2026 error -1 reading relation 161749438
  86. Tue Jul 7 16:14:24 2026 error -1 reading relation 164078704
  87. Tue Jul 7 16:14:50 2026 error -1 reading relation 166912686
  88. Tue Jul 7 16:15:04 2026 error -1 reading relation 168468974
  89. Tue Jul 7 16:15:05 2026 error -1 reading relation 168508153
  90. Tue Jul 7 16:15:27 2026 error -1 reading relation 171209177
  91. Tue Jul 7 16:15:40 2026 error -1 reading relation 172582878
  92. Tue Jul 7 16:15:42 2026 error -1 reading relation 172807055
  93. Tue Jul 7 16:16:04 2026 error -1 reading relation 175242910
  94. Tue Jul 7 16:16:52 2026 error -1 reading relation 180305001
  95. Tue Jul 7 16:17:42 2026 error -1 reading relation 185961235
  96. Tue Jul 7 16:18:44 2026 error -1 reading relation 192964222
  97. Tue Jul 7 16:18:50 2026 error -1 reading relation 193653063
  98. Tue Jul 7 16:18:56 2026 error -1 reading relation 194325887
  99. Tue Jul 7 16:19:23 2026 error -1 reading relation 197380146
  100. Tue Jul 7 16:19:54 2026 error -1 reading relation 200665607
  101. Tue Jul 7 16:20:08 2026 error -1 reading relation 202340334
  102. Tue Jul 7 16:21:06 2026 error -1 reading relation 208572528
  103. Tue Jul 7 16:21:09 2026 error -1 reading relation 208835710
  104. Tue Jul 7 16:23:29 2026 error -11 reading relation 224287660
  105. Tue Jul 7 16:23:37 2026 error -1 reading relation 225183415
  106. Tue Jul 7 16:23:44 2026 error -1 reading relation 225937622
  107. Tue Jul 7 16:23:44 2026 error -1 reading relation 225937623
  108. Tue Jul 7 16:23:46 2026 error -1 reading relation 226172564
  109. Tue Jul 7 16:23:57 2026 error -1 reading relation 227419623
  110. Tue Jul 7 16:24:49 2026 error -1 reading relation 233282433
  111. Tue Jul 7 16:26:06 2026 error -1 reading relation 241796428
  112. Tue Jul 7 16:26:07 2026 error -1 reading relation 241852411
  113. Tue Jul 7 16:26:35 2026 error -1 reading relation 244887766
  114. Tue Jul 7 16:26:45 2026 error -1 reading relation 245934462
  115. Tue Jul 7 16:27:13 2026 error -1 reading relation 249162290
  116. Tue Jul 7 16:27:21 2026 error -1 reading relation 250038834
  117. Tue Jul 7 16:27:27 2026 error -1 reading relation 250753702
  118. Tue Jul 7 16:28:00 2026 error -1 reading relation 254313052
  119. Tue Jul 7 16:28:06 2026 error -11 reading relation 254980126
  120. Tue Jul 7 16:28:06 2026 error -1 reading relation 254980151
  121. Tue Jul 7 16:28:06 2026 error -15 reading relation 254980271
  122. Tue Jul 7 16:28:06 2026 error -11 reading relation 254980356
  123. Tue Jul 7 16:28:06 2026 error -15 reading relation 254981422
  124. Tue Jul 7 16:28:06 2026 error -1 reading relation 254981577
  125. Tue Jul 7 16:28:36 2026 error -1 reading relation 258317829
  126. Tue Jul 7 16:29:02 2026 error -1 reading relation 261152530
  127. Tue Jul 7 16:29:04 2026 error -1 reading relation 261379792
  128. Tue Jul 7 16:29:32 2026 error -1 reading relation 264665398
  129. Tue Jul 7 16:29:58 2026 error -1 reading relation 267741124
  130. Tue Jul 7 16:30:08 2026 error -1 reading relation 268969861
  131. Tue Jul 7 16:31:08 2026 error -1 reading relation 275678095
  132. Tue Jul 7 16:31:23 2026 error -1 reading relation 277324287
  133. Tue Jul 7 16:31:31 2026 error -1 reading relation 278220718
  134. Tue Jul 7 16:31:33 2026 error -1 reading relation 278528964
  135. Tue Jul 7 16:31:51 2026 error -1 reading relation 280565148
  136. Tue Jul 7 16:31:51 2026 error -1 reading relation 280565149
  137. Tue Jul 7 16:31:58 2026 error -1 reading relation 281262104
  138. Tue Jul 7 16:32:00 2026 error -1 reading relation 281446975
  139. Tue Jul 7 16:32:03 2026 error -1 reading relation 281846563
  140. Tue Jul 7 16:32:03 2026 error -1 reading relation 281846564
  141. Tue Jul 7 16:32:08 2026 error -1 reading relation 282362140
  142. Tue Jul 7 16:32:16 2026 error -1 reading relation 283221058
  143. Tue Jul 7 16:32:29 2026 error -1 reading relation 284683407
  144. Tue Jul 7 16:33:11 2026 error -1 reading relation 289626137
  145. Tue Jul 7 16:33:30 2026 error -1 reading relation 291755706
  146. Tue Jul 7 16:33:31 2026 error -1 reading relation 291939061
  147. Tue Jul 7 16:33:36 2026 error -1 reading relation 292479501
  148. Tue Jul 7 16:33:37 2026 error -1 reading relation 292577828
  149. Tue Jul 7 16:35:00 2026 error -1 reading relation 301843686
  150. Tue Jul 7 16:35:35 2026 error -11 reading relation 305104187
  151. Tue Jul 7 16:35:35 2026 error -1 reading relation 305104188
  152. Tue Jul 7 16:36:34 2026 error -1 reading relation 311300125
  153. Tue Jul 7 16:37:09 2026 error -11 reading relation 314924603
  154. Tue Jul 7 16:37:16 2026 error -1 reading relation 315677037
  155. Tue Jul 7 16:37:20 2026 error -1 reading relation 316139717
  156. Tue Jul 7 16:37:23 2026 error -1 reading relation 316439480
  157. Tue Jul 7 16:37:37 2026 error -1 reading relation 317970637
  158. Tue Jul 7 16:37:54 2026 error -1 reading relation 319907849
  159. Tue Jul 7 16:38:00 2026 error -1 reading relation 320501380
  160. Tue Jul 7 16:38:06 2026 error -11 reading relation 321226265
  161. Tue Jul 7 16:38:39 2026 error -1 reading relation 324913337
  162. Tue Jul 7 16:38:55 2026 error -1 reading relation 326660338
  163. Tue Jul 7 16:39:02 2026 error -1 reading relation 327425440
  164. Tue Jul 7 16:39:07 2026 error -1 reading relation 327969139
  165. Tue Jul 7 16:39:15 2026 error -1 reading relation 328921510
  166. Tue Jul 7 16:39:16 2026 error -1 reading relation 328971811
  167. Tue Jul 7 16:39:27 2026 error -1 reading relation 330211718
  168. Tue Jul 7 16:39:37 2026 error -1 reading relation 331337151
  169. Tue Jul 7 16:39:44 2026 error -1 reading relation 332091930
  170. Tue Jul 7 16:39:50 2026 error -1 reading relation 332713777
  171. Tue Jul 7 16:39:50 2026 error -1 reading relation 332800047
  172. Tue Jul 7 16:39:51 2026 error -1 reading relation 332885830
  173. Tue Jul 7 16:40:04 2026 error -1 reading relation 334292611
  174. Tue Jul 7 16:40:04 2026 error -1 reading relation 334292612
  175. Tue Jul 7 16:40:20 2026 error -15 reading relation 336068074
  176. Tue Jul 7 16:41:05 2026 error -1 reading relation 341065138
  177. Tue Jul 7 16:43:03 2026 error -1 reading relation 353996760
  178. Tue Jul 7 16:43:05 2026 error -1 reading relation 354265005
  179. Tue Jul 7 16:43:24 2026 error -1 reading relation 356329522
  180. Tue Jul 7 16:43:37 2026 error -1 reading relation 357746338
  181. Tue Jul 7 16:44:17 2026 skipped 1 relations with composite factors
  182. Tue Jul 7 16:44:17 2026 skipped 32 malformed relations
  183. Tue Jul 7 16:44:17 2026 found 14410348 hash collisions in 361735245 relations
  184. Tue Jul 7 16:44:30 2026 commencing duplicate removal, pass 2
  185. Tue Jul 7 16:54:31 2026 found 0 duplicates and 361735245 unique relations
  186. Tue Jul 7 16:54:31 2026 memory use: 1108.8 MB
  187. Tue Jul 7 16:54:32 2026 reading ideals above 175046656
  188. Tue Jul 7 16:54:32 2026 commencing singleton removal, initial pass
  189. Tue Jul 7 17:47:08 2026 memory use: 6024.0 MB
  190. Tue Jul 7 17:47:09 2026 reading all ideals from disk
  191. Tue Jul 7 17:48:49 2026 memory use: 9597.5 MB
  192. Tue Jul 7 17:50:34 2026 commencing in-memory singleton removal
  193. Tue Jul 7 17:51:17 2026 begin with 361735245 relations and 311716089 unique ideals
  194. Tue Jul 7 17:55:28 2026 reduce to 231947593 relations and 168908588 ideals in 14 passes
  195. Tue Jul 7 17:55:28 2026 max relations containing the same ideal: 36
  196. Tue Jul 7 17:55:53 2026 reading ideals above 720000
  197. Tue Jul 7 17:55:53 2026 commencing singleton removal, initial pass
  198. Tue Jul 7 18:45:39 2026 memory use: 5512.0 MB
  199. Tue Jul 7 18:45:40 2026 reading all ideals from disk
  200. Tue Jul 7 18:49:06 2026 memory use: 11399.4 MB
  201. Tue Jul 7 18:54:54 2026 keeping 187245494 ideals with weight <= 200, target excess is 1203386
  202. Tue Jul 7 18:56:29 2026 commencing in-memory singleton removal
  203. Tue Jul 7 18:57:10 2026 begin with 231947593 relations and 187245494 unique ideals
  204. Tue Jul 7 18:58:31 2026 reduce to 231947562 relations and 187245463 ideals in 3 passes
  205. Tue Jul 7 18:58:31 2026 max relations containing the same ideal: 200
  206. Tue Jul 7 19:03:35 2026 removing 12722877 relations and 10722877 ideals in 2000000 cliques
  207. Tue Jul 7 19:03:47 2026 commencing in-memory singleton removal
  208. Tue Jul 7 19:04:34 2026 begin with 219224685 relations and 187245463 unique ideals
  209. Tue Jul 7 19:08:43 2026 reduce to 218697607 relations and 175989381 ideals in 9 passes
  210. Tue Jul 7 19:08:43 2026 max relations containing the same ideal: 199
  211. Tue Jul 7 19:13:18 2026 removing 9633708 relations and 7633708 ideals in 2000000 cliques
  212. Tue Jul 7 19:13:29 2026 commencing in-memory singleton removal
  213. Tue Jul 7 19:14:09 2026 begin with 209063899 relations and 175989381 unique ideals
  214. Tue Jul 7 19:17:40 2026 reduce to 208721440 relations and 168009889 ideals in 8 passes
  215. Tue Jul 7 19:17:40 2026 max relations containing the same ideal: 195
  216. Tue Jul 7 19:21:59 2026 removing 8668446 relations and 6668446 ideals in 2000000 cliques
  217. Tue Jul 7 19:22:10 2026 commencing in-memory singleton removal
  218. Tue Jul 7 19:22:53 2026 begin with 200052994 relations and 168009889 unique ideals
  219. Tue Jul 7 19:25:53 2026 reduce to 199756546 relations and 161042188 ideals in 7 passes
  220. Tue Jul 7 19:25:53 2026 max relations containing the same ideal: 190
  221. Tue Jul 7 19:30:08 2026 removing 8144036 relations and 6144036 ideals in 2000000 cliques
  222. Tue Jul 7 19:30:18 2026 commencing in-memory singleton removal
  223. Tue Jul 7 19:30:53 2026 begin with 191612510 relations and 161042188 unique ideals
  224. Tue Jul 7 19:33:18 2026 reduce to 191338527 relations and 154621527 ideals in 6 passes
  225. Tue Jul 7 19:33:18 2026 max relations containing the same ideal: 186
  226. Tue Jul 7 19:37:18 2026 removing 7806423 relations and 5806423 ideals in 2000000 cliques
  227. Tue Jul 7 19:37:27 2026 commencing in-memory singleton removal
  228. Tue Jul 7 19:38:04 2026 begin with 183532104 relations and 154621527 unique ideals
  229. Tue Jul 7 19:40:43 2026 reduce to 183269258 relations and 148549698 ideals in 7 passes
  230. Tue Jul 7 19:40:43 2026 max relations containing the same ideal: 184
  231. Tue Jul 7 19:44:31 2026 removing 7572395 relations and 5572395 ideals in 2000000 cliques
  232. Tue Jul 7 19:44:40 2026 commencing in-memory singleton removal
  233. Tue Jul 7 19:45:14 2026 begin with 175696863 relations and 148549698 unique ideals
  234. Tue Jul 7 19:47:23 2026 reduce to 175439902 relations and 142717714 ideals in 6 passes
  235. Tue Jul 7 19:47:23 2026 max relations containing the same ideal: 176
  236. Tue Jul 7 19:50:59 2026 removing 7399235 relations and 5399235 ideals in 2000000 cliques
  237. Tue Jul 7 19:51:09 2026 commencing in-memory singleton removal
  238. Tue Jul 7 19:51:38 2026 begin with 168040667 relations and 142717714 unique ideals
  239. Tue Jul 7 19:54:01 2026 reduce to 167786159 relations and 137061237 ideals in 7 passes
  240. Tue Jul 7 19:54:01 2026 max relations containing the same ideal: 172
  241. Tue Jul 7 19:57:23 2026 removing 7275538 relations and 5275538 ideals in 2000000 cliques
  242. Tue Jul 7 19:57:32 2026 commencing in-memory singleton removal
  243. Tue Jul 7 19:58:03 2026 begin with 160510621 relations and 137061237 unique ideals
  244. Tue Jul 7 19:59:56 2026 reduce to 160255522 relations and 131527689 ideals in 6 passes
  245. Tue Jul 7 19:59:56 2026 max relations containing the same ideal: 167
  246. Tue Jul 7 20:03:12 2026 removing 7185364 relations and 5185364 ideals in 2000000 cliques
  247. Tue Jul 7 20:03:20 2026 commencing in-memory singleton removal
  248. Tue Jul 7 20:03:51 2026 begin with 153070158 relations and 131527689 unique ideals
  249. Tue Jul 7 20:05:41 2026 reduce to 152811763 relations and 126080936 ideals in 6 passes
  250. Tue Jul 7 20:05:41 2026 max relations containing the same ideal: 162
  251. Tue Jul 7 20:08:47 2026 removing 7112181 relations and 5112181 ideals in 2000000 cliques
  252. Tue Jul 7 20:08:56 2026 commencing in-memory singleton removal
  253. Tue Jul 7 20:09:24 2026 begin with 145699582 relations and 126080936 unique ideals
  254. Tue Jul 7 20:11:07 2026 reduce to 145436148 relations and 120702079 ideals in 6 passes
  255. Tue Jul 7 20:11:07 2026 max relations containing the same ideal: 156
  256. Tue Jul 7 20:14:02 2026 removing 7065875 relations and 5065875 ideals in 2000000 cliques
  257. Tue Jul 7 20:14:09 2026 commencing in-memory singleton removal
  258. Tue Jul 7 20:14:33 2026 begin with 138370273 relations and 120702079 unique ideals
  259. Tue Jul 7 20:16:24 2026 reduce to 138098568 relations and 115360955 ideals in 7 passes
  260. Tue Jul 7 20:16:24 2026 max relations containing the same ideal: 150
  261. Tue Jul 7 20:19:13 2026 removing 7032622 relations and 5032622 ideals in 2000000 cliques
  262. Tue Jul 7 20:19:20 2026 commencing in-memory singleton removal
  263. Tue Jul 7 20:19:43 2026 begin with 131065946 relations and 115360955 unique ideals
  264. Tue Jul 7 20:21:53 2026 reduce to 130784906 relations and 110043468 ideals in 9 passes
  265. Tue Jul 7 20:21:53 2026 max relations containing the same ideal: 146
  266. Tue Jul 7 20:24:33 2026 removing 7011154 relations and 5011154 ideals in 2000000 cliques
  267. Tue Jul 7 20:24:41 2026 commencing in-memory singleton removal
  268. Tue Jul 7 20:25:03 2026 begin with 123773752 relations and 110043468 unique ideals
  269. Tue Jul 7 20:26:43 2026 reduce to 123479655 relations and 104734126 ideals in 7 passes
  270. Tue Jul 7 20:26:43 2026 max relations containing the same ideal: 140
  271. Tue Jul 7 20:29:11 2026 removing 7009153 relations and 5009153 ideals in 2000000 cliques
  272. Tue Jul 7 20:29:18 2026 commencing in-memory singleton removal
  273. Tue Jul 7 20:29:37 2026 begin with 116470502 relations and 104734126 unique ideals
  274. Tue Jul 7 20:31:06 2026 reduce to 116161851 relations and 99411871 ideals in 7 passes
  275. Tue Jul 7 20:31:06 2026 max relations containing the same ideal: 136
  276. Tue Jul 7 20:33:31 2026 removing 7018124 relations and 5018124 ideals in 2000000 cliques
  277. Tue Jul 7 20:33:37 2026 commencing in-memory singleton removal
  278. Tue Jul 7 20:33:56 2026 begin with 109143727 relations and 99411871 unique ideals
  279. Tue Jul 7 20:35:19 2026 reduce to 108816997 relations and 94061911 ideals in 7 passes
  280. Tue Jul 7 20:35:19 2026 max relations containing the same ideal: 128
  281. Tue Jul 7 20:37:31 2026 removing 7042512 relations and 5042512 ideals in 2000000 cliques
  282. Tue Jul 7 20:37:38 2026 commencing in-memory singleton removal
  283. Tue Jul 7 20:37:56 2026 begin with 101774485 relations and 94061911 unique ideals
  284. Tue Jul 7 20:39:23 2026 reduce to 101425553 relations and 88664704 ideals in 8 passes
  285. Tue Jul 7 20:39:23 2026 max relations containing the same ideal: 125
  286. Tue Jul 7 20:41:26 2026 removing 7076690 relations and 5076690 ideals in 2000000 cliques
  287. Tue Jul 7 20:41:32 2026 commencing in-memory singleton removal
  288. Tue Jul 7 20:41:48 2026 begin with 94348863 relations and 88664704 unique ideals
  289. Tue Jul 7 20:43:08 2026 reduce to 93972966 relations and 83205636 ideals in 8 passes
  290. Tue Jul 7 20:43:08 2026 max relations containing the same ideal: 120
  291. Tue Jul 7 20:45:04 2026 removing 7128981 relations and 5128981 ideals in 2000000 cliques
  292. Tue Jul 7 20:45:09 2026 commencing in-memory singleton removal
  293. Tue Jul 7 20:45:23 2026 begin with 86843985 relations and 83205636 unique ideals
  294. Tue Jul 7 20:46:36 2026 reduce to 86433998 relations and 77659123 ideals in 8 passes
  295. Tue Jul 7 20:46:36 2026 max relations containing the same ideal: 115
  296. Tue Jul 7 20:48:24 2026 removing 7196675 relations and 5196675 ideals in 2000000 cliques
  297. Tue Jul 7 20:48:29 2026 commencing in-memory singleton removal
  298. Tue Jul 7 20:48:42 2026 begin with 79237323 relations and 77659123 unique ideals
  299. Tue Jul 7 20:49:41 2026 reduce to 78785304 relations and 72001307 ideals in 7 passes
  300. Tue Jul 7 20:49:41 2026 max relations containing the same ideal: 105
  301. Tue Jul 7 20:51:17 2026 removing 7283229 relations and 5283229 ideals in 2000000 cliques
  302. Tue Jul 7 20:51:22 2026 commencing in-memory singleton removal
  303. Tue Jul 7 20:51:34 2026 begin with 71502075 relations and 72001307 unique ideals
  304. Tue Jul 7 20:52:31 2026 reduce to 70990193 relations and 66195136 ideals in 8 passes
  305. Tue Jul 7 20:52:31 2026 max relations containing the same ideal: 97
  306. Tue Jul 7 20:53:58 2026 removing 7392166 relations and 5392166 ideals in 2000000 cliques
  307. Tue Jul 7 20:54:03 2026 commencing in-memory singleton removal
  308. Tue Jul 7 20:54:12 2026 begin with 63598027 relations and 66195136 unique ideals
  309. Tue Jul 7 20:55:01 2026 reduce to 63012630 relations and 60203492 ideals in 8 passes
  310. Tue Jul 7 20:55:01 2026 max relations containing the same ideal: 91
  311. Tue Jul 7 20:56:16 2026 removing 5694848 relations and 4281638 ideals in 1413210 cliques
  312. Tue Jul 7 20:56:20 2026 commencing in-memory singleton removal
  313. Tue Jul 7 20:56:28 2026 begin with 57317782 relations and 60203492 unique ideals
  314. Tue Jul 7 20:57:09 2026 reduce to 56928049 relations and 55524602 ideals in 8 passes
  315. Tue Jul 7 20:57:09 2026 max relations containing the same ideal: 87
  316. Tue Jul 7 20:58:32 2026 relations with 0 large ideals: 44720
  317. Tue Jul 7 20:58:32 2026 relations with 1 large ideals: 16833
  318. Tue Jul 7 20:58:32 2026 relations with 2 large ideals: 239873
  319. Tue Jul 7 20:58:32 2026 relations with 3 large ideals: 1565370
  320. Tue Jul 7 20:58:32 2026 relations with 4 large ideals: 5507878
  321. Tue Jul 7 20:58:32 2026 relations with 5 large ideals: 11575521
  322. Tue Jul 7 20:58:32 2026 relations with 6 large ideals: 15187591
  323. Tue Jul 7 20:58:32 2026 relations with 7+ large ideals: 22790263
  324. Tue Jul 7 20:58:32 2026 commencing 2-way merge
  325. Tue Jul 7 21:00:16 2026 reduce to 35956471 relation sets and 34553024 unique ideals
  326. Tue Jul 7 21:00:16 2026 commencing full merge
  327. Tue Jul 7 21:24:16 2026 memory use: 4339.7 MB
  328. Tue Jul 7 21:24:24 2026 found 18717480 cycles, need 18521224
  329. Tue Jul 7 21:24:37 2026 weight of 18521224 cycles is about 1481727625 (80.00/cycle)
  330. Tue Jul 7 21:24:37 2026 distribution of cycle lengths:
  331. Tue Jul 7 21:24:37 2026 1 relations: 2070747
  332. Tue Jul 7 21:24:37 2026 2 relations: 1979125
  333. Tue Jul 7 21:24:37 2026 3 relations: 1997735
  334. Tue Jul 7 21:24:37 2026 4 relations: 1919887
  335. Tue Jul 7 21:24:37 2026 5 relations: 1860646
  336. Tue Jul 7 21:24:37 2026 6 relations: 1711560
  337. Tue Jul 7 21:24:37 2026 7 relations: 1534244
  338. Tue Jul 7 21:24:37 2026 8 relations: 1321362
  339. Tue Jul 7 21:24:37 2026 9 relations: 1092561
  340. Tue Jul 7 21:24:37 2026 10+ relations: 3033357
  341. Tue Jul 7 21:24:37 2026 heaviest cycle: 21 relations
  342. Tue Jul 7 21:24:48 2026 commencing cycle optimization
  343. Tue Jul 7 21:26:06 2026 start with 106779732 relations
  344. Tue Jul 7 21:32:06 2026 pruned 2914210 relations
  345. Tue Jul 7 21:32:11 2026 memory use: 3431.1 MB
  346. Tue Jul 7 21:32:11 2026 distribution of cycle lengths:
  347. Tue Jul 7 21:32:11 2026 1 relations: 2070747
  348. Tue Jul 7 21:32:11 2026 2 relations: 2019064
  349. Tue Jul 7 21:32:11 2026 3 relations: 2065046
  350. Tue Jul 7 21:32:11 2026 4 relations: 1974465
  351. Tue Jul 7 21:32:11 2026 5 relations: 1922471
  352. Tue Jul 7 21:32:11 2026 6 relations: 1756550
  353. Tue Jul 7 21:32:11 2026 7 relations: 1571771
  354. Tue Jul 7 21:32:11 2026 8 relations: 1334004
  355. Tue Jul 7 21:32:11 2026 9 relations: 1088877
  356. Tue Jul 7 21:32:11 2026 10+ relations: 2718229
  357. Tue Jul 7 21:32:11 2026 heaviest cycle: 21 relations
  358. Tue Jul 7 21:33:20 2026 RelProcTime: 20478
  359. Tue Jul 7 21:33:20 2026
  360. Tue Jul 7 21:33:20 2026 commencing linear algebra
  361. Tue Jul 7 21:33:20 2026 using VBITS=256
  362. Tue Jul 7 21:33:23 2026 read 18521224 cycles
  363. Tue Jul 7 21:34:16 2026 cycles contain 56024179 unique relations
  364. Tue Jul 7 21:42:08 2026 read 56024179 relations
  365. Tue Jul 7 21:48:11 2026 using 20 quadratic characters above 4294917295
  366. Tue Jul 7 21:51:33 2026 building initial matrix
  367. Tue Jul 7 22:08:49 2026 memory use: 7017.6 MB
  368. Tue Jul 7 22:09:26 2026 read 18521224 cycles
  369. Tue Jul 7 22:09:30 2026 matrix is 18521047 x 18521224 (6215.3 MB) with weight 1798426682 (97.10/col)
  370. Tue Jul 7 22:09:30 2026 sparse part has weight 1425575709 (76.97/col)
  371. Tue Jul 7 22:15:53 2026 filtering completed in 2 passes
  372. Tue Jul 7 22:16:01 2026 matrix is 18516409 x 18516579 (6215.0 MB) with weight 1798296195 (97.12/col)
  373. Tue Jul 7 22:16:01 2026 sparse part has weight 1425534447 (76.99/col)
  374. Tue Jul 7 22:17:09 2026 matrix starts at (0, 0)
  375. Tue Jul 7 22:17:12 2026 matrix is 18516409 x 18516579 (6215.0 MB) with weight 1798296195 (97.12/col)
  376. Tue Jul 7 22:17:12 2026 sparse part has weight 1425534447 (76.99/col)
  377. Tue Jul 7 22:17:12 2026 saving the first 240 matrix rows for later
  378. Tue Jul 7 22:17:18 2026 matrix includes 256 packed rows
  379. Tue Jul 7 22:17:27 2026 matrix is 18516169 x 18516579 (5846.6 MB) with weight 1301435347 (70.28/col)
  380. Tue Jul 7 22:17:27 2026 sparse part has weight 1236390448 (66.77/col)
  381. Tue Jul 7 22:17:28 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  382. Tue Jul 7 22:17:28 2026 selected card has CUDA arch 8.6
  383. Wed Jul 8 00:46:06 2026 commencing Lanczos iteration
  384. Wed Jul 8 00:46:53 2026 memory use: 14094.8 MB
  385. Wed Jul 8 00:52:38 2026 linear algebra at 0.2%, ETA 55h 0m
  386. Wed Jul 8 01:00:52 2026 checking every 10000 dimensions, checkpointing every 340000 dimensions
  387. Thu Jul 9 18:58:28 2026 lanczos halted after 72545 iterations (dim = 18516168)
  388. Thu Jul 9 18:59:41 2026 recovered 35 nontrivial dependencies
  389. Thu Jul 9 18:59:45 2026 BLanczosTime: 163585
  390. Thu Jul 9 18:59:45 2026
  391. Thu Jul 9 18:59:45 2026 commencing square root phase
  392. Thu Jul 9 18:59:45 2026 handling dependencies 1 to 64
  393. Thu Jul 9 18:59:45 2026 reading relations for dependency 1
  394. Thu Jul 9 19:01:06 2026 read 9258228 cycles
  395. Thu Jul 9 19:01:15 2026 cycles contain 28014202 unique relations
  396. Thu Jul 9 19:03:22 2026 read 28014202 relations
  397. Thu Jul 9 19:05:52 2026 multiplying 28014202 relations
  398. Thu Jul 9 19:08:57 2026 multiply complete, coefficients have about 749.12 million bits
  399. Thu Jul 9 19:08:58 2026 initial square root is modulo 5256697
  400. Thu Jul 9 19:14:22 2026 GCD is 1, no factor found
  401. Thu Jul 9 19:14:22 2026 reading relations for dependency 2
  402. Thu Jul 9 19:14:24 2026 read 9259052 cycles
  403. Thu Jul 9 19:14:31 2026 cycles contain 28006634 unique relations
  404. Thu Jul 9 19:16:46 2026 read 28006634 relations
  405. Thu Jul 9 19:19:14 2026 multiplying 28006634 relations
  406. Thu Jul 9 19:22:22 2026 multiply complete, coefficients have about 748.92 million bits
  407. Thu Jul 9 19:22:23 2026 initial square root is modulo 5235649
  408. Thu Jul 9 19:27:47 2026 GCD is N, no factor found
  409. Thu Jul 9 19:27:47 2026 reading relations for dependency 3
  410. Thu Jul 9 19:27:49 2026 read 9258286 cycles
  411. Thu Jul 9 19:27:57 2026 cycles contain 28012686 unique relations
  412. Thu Jul 9 19:30:13 2026 read 28012686 relations
  413. Thu Jul 9 19:32:30 2026 multiplying 28012686 relations
  414. Thu Jul 9 19:35:42 2026 multiply complete, coefficients have about 749.07 million bits
  415. Thu Jul 9 19:35:43 2026 initial square root is modulo 5252209
  416. Thu Jul 9 19:41:08 2026 sqrtTime: 2483
  417. Thu Jul 9 19:41:08 2026 p82 factor: 3200917485379128748405481878044620779310904488669249475425418940779596944874345497
  418. Thu Jul 9 19:41:08 2026 p158 factor: 36312216330349174320476337302405524273265165276896417565291313822320546392929997032631743266705483217250119432469685317551412104973611734144067670762940870497
  419. Thu Jul 9 19:41:08 2026 elapsed time 51:49:08
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