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kyleaskine
Jun 29th, 2026
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  1. Sun Jun 28 23:56:05 2026
  2. Sun Jun 28 23:56:05 2026
  3. Sun Jun 28 23:56:05 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jun 28 23:56:05 2026 random seeds: 52ebdc8c 3dfb8e22
  5. Sun Jun 28 23:56:05 2026 Using 8 OpenMP threads
  6. Sun Jun 28 23:56:05 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits)
  7. Sun Jun 28 23:56:06 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jun 28 23:56:06 2026 commencing number field sieve (188-digit input)
  9. Sun Jun 28 23:56:06 2026 R0: -2470889397791666799469152978463348088
  10. Sun Jun 28 23:56:06 2026 R1: 124033822411057866802189
  11. Sun Jun 28 23:56:06 2026 A0: 356742716443672472136767972420670540875936760
  12. Sun Jun 28 23:56:06 2026 A1: 260728535075783999410077121625073522
  13. Sun Jun 28 23:56:06 2026 A2: -1728704485284696624226212465949
  14. Sun Jun 28 23:56:06 2026 A3: 7481513286656611279483
  15. Sun Jun 28 23:56:06 2026 A4: 293559451150104
  16. Sun Jun 28 23:56:06 2026 A5: 1441440
  17. Sun Jun 28 23:56:06 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3
  18. Sun Jun 28 23:56:06 2026
  19. Sun Jun 28 23:56:06 2026 commencing relation filtering
  20. Sun Jun 28 23:56:06 2026 setting 3 target densities:Sun Jun 28 23:56:06 2026 90Sun Jun 28 23:56:06 2026 110Sun Jun 28 23:56:06 2026 130Sun Jun 28 23:56:06 2026
  21. Sun Jun 28 23:56:06 2026 estimated available RAM is 78540.1 MB
  22. Sun Jun 28 23:56:06 2026 commencing duplicate removal, pass 1
  23. Sun Jun 28 23:58:09 2026 error -1 reading relation 30547533
  24. Sun Jun 28 23:58:45 2026 error -1 reading relation 40404059
  25. Sun Jun 28 23:58:54 2026 error -1 reading relation 43574062
  26. Sun Jun 28 23:59:47 2026 error -15 reading relation 57767543
  27. Sun Jun 28 23:59:47 2026 error -1 reading relation 57767544
  28. Mon Jun 29 00:00:42 2026 error -15 reading relation 72400811
  29. Mon Jun 29 00:01:22 2026 error -1 reading relation 84739701
  30. Mon Jun 29 00:02:16 2026 error -1 reading relation 99694727
  31. Mon Jun 29 00:02:43 2026 error -1 reading relation 106332794
  32. Mon Jun 29 00:04:28 2026 error -1 reading relation 134351902
  33. Mon Jun 29 00:04:33 2026 error -1 reading relation 135660408
  34. Mon Jun 29 00:04:40 2026 error -1 reading relation 138181084
  35. Mon Jun 29 00:04:43 2026 error -1 reading relation 138956241
  36. Mon Jun 29 00:04:47 2026 error -1 reading relation 140199240
  37. Mon Jun 29 00:06:33 2026 error -1 reading relation 169503410
  38. Mon Jun 29 00:06:34 2026 error -1 reading relation 170471138
  39. Mon Jun 29 00:08:16 2026 error -1 reading relation 196847775
  40. Mon Jun 29 00:08:47 2026 error -1 reading relation 204223641
  41. Mon Jun 29 00:08:55 2026 error -1 reading relation 206263893
  42. Mon Jun 29 00:09:49 2026 error -1 reading relation 220368883
  43. Mon Jun 29 00:10:56 2026 error -1 reading relation 236695286
  44. Mon Jun 29 00:11:26 2026 error -1 reading relation 244319938
  45. Mon Jun 29 00:11:44 2026 error -1 reading relation 249116990
  46. Mon Jun 29 00:12:14 2026 error -1 reading relation 256581879
  47. Mon Jun 29 00:13:00 2026 error -1 reading relation 265722804
  48. Mon Jun 29 00:14:34 2026 error -1 reading relation 288318283
  49. Mon Jun 29 00:15:58 2026 error -1 reading relation 309433937
  50. Mon Jun 29 00:16:18 2026 error -1 reading relation 315184623
  51. Mon Jun 29 00:16:20 2026 error -1 reading relation 315528287
  52. Mon Jun 29 00:16:27 2026 error -1 reading relation 317355307
  53. Mon Jun 29 00:16:38 2026 error -1 reading relation 320429716
  54. Mon Jun 29 00:17:08 2026 error -1 reading relation 328556758
  55. Mon Jun 29 00:17:12 2026 error -1 reading relation 329521740
  56. Mon Jun 29 00:17:40 2026 error -1 reading relation 336997709
  57. Mon Jun 29 00:17:40 2026 error -1 reading relation 337012551
  58. Mon Jun 29 00:18:03 2026 error -1 reading relation 342962249
  59. Mon Jun 29 00:19:01 2026 error -1 reading relation 357696075
  60. Mon Jun 29 00:19:32 2026 error -1 reading relation 365498176
  61. Mon Jun 29 00:19:40 2026 error -1 reading relation 368393851
  62. Mon Jun 29 00:20:16 2026 error -1 reading relation 377902644
  63. Mon Jun 29 00:21:00 2026 error -1 reading relation 388924143
  64. Mon Jun 29 00:21:01 2026 error -1 reading relation 389478897
  65. Mon Jun 29 00:21:09 2026 error -1 reading relation 391321764
  66. Mon Jun 29 00:21:54 2026 error -1 reading relation 402492639
  67. Mon Jun 29 00:22:04 2026 error -1 reading relation 405162208
  68. Mon Jun 29 00:22:17 2026 error -11 reading relation 408351245
  69. Mon Jun 29 00:22:19 2026 error -1 reading relation 408690833
  70. Mon Jun 29 00:22:53 2026 error -1 reading relation 417949516
  71. Mon Jun 29 00:24:22 2026 error -1 reading relation 441310354
  72. Mon Jun 29 00:24:30 2026 error -15 reading relation 443278590
  73. Mon Jun 29 00:24:53 2026 error -1 reading relation 449636459
  74. Mon Jun 29 00:26:14 2026 error -1 reading relation 471809408
  75. Mon Jun 29 00:27:02 2026 error -1 reading relation 483926813
  76. Mon Jun 29 00:27:14 2026 error -1 reading relation 487748597
  77. Mon Jun 29 00:27:31 2026 error -1 reading relation 491640729
  78. Mon Jun 29 00:27:51 2026 error -1 reading relation 497689752
  79. Mon Jun 29 00:28:13 2026 error -1 reading relation 503451944
  80. Mon Jun 29 00:28:27 2026 error -1 reading relation 507007056
  81. Mon Jun 29 00:29:11 2026 error -1 reading relation 518592742
  82. Mon Jun 29 00:29:13 2026 error -1 reading relation 519512231
  83. Mon Jun 29 00:29:13 2026 error -1 reading relation 519671244
  84. Mon Jun 29 00:29:20 2026 error -1 reading relation 521270972
  85. Mon Jun 29 00:29:25 2026 error -1 reading relation 522699609
  86. Mon Jun 29 00:30:35 2026 error -1 reading relation 539882417
  87. Mon Jun 29 00:30:45 2026 error -1 reading relation 541749855
  88. Mon Jun 29 00:31:09 2026 error -1 reading relation 546998428
  89. Mon Jun 29 00:31:16 2026 error -1 reading relation 548729708
  90. Mon Jun 29 00:31:36 2026 error -1 reading relation 554345606
  91. Mon Jun 29 00:31:39 2026 error -1 reading relation 555179086
  92. Mon Jun 29 00:32:01 2026 error -1 reading relation 561577824
  93. Mon Jun 29 00:32:12 2026 error -1 reading relation 564575330
  94. Mon Jun 29 00:33:24 2026 error -1 reading relation 584278262
  95. Mon Jun 29 00:34:04 2026 error -1 reading relation 595456929
  96. Mon Jun 29 00:34:06 2026 error -1 reading relation 595971379
  97. Mon Jun 29 00:34:10 2026 error -1 reading relation 597053052
  98. Mon Jun 29 00:34:13 2026 error -1 reading relation 597847565
  99. Mon Jun 29 00:35:18 2026 error -1 reading relation 615569050
  100. Mon Jun 29 00:35:36 2026 error -1 reading relation 620733986
  101. Mon Jun 29 00:35:36 2026 error -1 reading relation 620796326
  102. Mon Jun 29 00:35:45 2026 error -1 reading relation 623319802
  103. Mon Jun 29 00:35:47 2026 error -1 reading relation 623770308
  104. Mon Jun 29 00:36:12 2026 error -1 reading relation 630455922
  105. Mon Jun 29 00:36:28 2026 error -15 reading relation 634977194
  106. Mon Jun 29 00:36:30 2026 error -1 reading relation 635471635
  107. Mon Jun 29 00:36:32 2026 error -1 reading relation 636264017
  108. Mon Jun 29 00:36:36 2026 error -1 reading relation 637370579
  109. Mon Jun 29 00:36:38 2026 error -1 reading relation 637926938
  110. Mon Jun 29 00:36:51 2026 error -1 reading relation 641188423
  111. Mon Jun 29 00:37:05 2026 error -1 reading relation 644873524
  112. Mon Jun 29 00:37:35 2026 skipped 3 relations with composite factors
  113. Mon Jun 29 00:37:35 2026 skipped 705 malformed relations
  114. Mon Jun 29 00:37:35 2026 found 137079049 hash collisions in 652923438 relations
  115. Mon Jun 29 00:37:52 2026 added 121599 free relations
  116. Mon Jun 29 00:37:52 2026 commencing duplicate removal, pass 2
  117. Mon Jun 29 00:50:25 2026 found 146667523 duplicates and 506377514 unique relations
  118. Mon Jun 29 00:50:25 2026 memory use: 3411.0 MB
  119. Mon Jun 29 00:50:26 2026 reading ideals above 283574272
  120. Mon Jun 29 00:50:26 2026 commencing singleton removal, initial pass
  121. Mon Jun 29 01:41:09 2026 memory use: 11024.0 MB
  122. Mon Jun 29 01:41:10 2026 reading all ideals from disk
  123. Mon Jun 29 01:41:37 2026 memory use: 13272.6 MB
  124. Mon Jun 29 01:42:14 2026 commencing in-memory singleton removal
  125. Mon Jun 29 01:42:21 2026 begin with 506377514 relations and 446331919 unique ideals
  126. Mon Jun 29 01:43:26 2026 reduce to 308793859 relations and 227624399 ideals in 15 passes
  127. Mon Jun 29 01:43:26 2026 max relations containing the same ideal: 32
  128. Mon Jun 29 01:43:36 2026 reading ideals above 720000
  129. Mon Jun 29 01:43:37 2026 commencing singleton removal, initial pass
  130. Mon Jun 29 02:35:12 2026 memory use: 6024.0 MB
  131. Mon Jun 29 02:35:13 2026 reading all ideals from disk
  132. Mon Jun 29 02:35:59 2026 memory use: 15361.3 MB
  133. Mon Jun 29 02:36:37 2026 keeping 256872799 ideals with weight <= 200, target excess is 1572208
  134. Mon Jun 29 02:37:21 2026 commencing in-memory singleton removal
  135. Mon Jun 29 02:37:28 2026 begin with 308793859 relations and 256872799 unique ideals
  136. Mon Jun 29 02:38:23 2026 reduce to 308787153 relations and 256866093 ideals in 9 passes
  137. Mon Jun 29 02:38:23 2026 max relations containing the same ideal: 200
  138. Mon Jun 29 02:41:14 2026 removing 14562597 relations and 12562597 ideals in 2000000 cliques
  139. Mon Jun 29 02:41:23 2026 commencing in-memory singleton removal
  140. Mon Jun 29 02:41:30 2026 begin with 294224556 relations and 256866093 unique ideals
  141. Mon Jun 29 02:42:22 2026 reduce to 293705910 relations and 243780270 ideals in 9 passes
  142. Mon Jun 29 02:42:22 2026 max relations containing the same ideal: 200
  143. Mon Jun 29 02:44:48 2026 removing 10979251 relations and 8979251 ideals in 2000000 cliques
  144. Mon Jun 29 02:44:54 2026 commencing in-memory singleton removal
  145. Mon Jun 29 02:45:01 2026 begin with 282726659 relations and 243780270 unique ideals
  146. Mon Jun 29 02:45:45 2026 reduce to 282400392 relations and 234472223 ideals in 8 passes
  147. Mon Jun 29 02:45:45 2026 max relations containing the same ideal: 197
  148. Mon Jun 29 02:48:10 2026 removing 9851545 relations and 7851545 ideals in 2000000 cliques
  149. Mon Jun 29 02:48:17 2026 commencing in-memory singleton removal
  150. Mon Jun 29 02:48:23 2026 begin with 272548847 relations and 234472223 unique ideals
  151. Mon Jun 29 02:49:01 2026 reduce to 272269234 relations and 226338994 ideals in 7 passes
  152. Mon Jun 29 02:49:01 2026 max relations containing the same ideal: 193
  153. Mon Jun 29 02:51:20 2026 removing 9224171 relations and 7224171 ideals in 2000000 cliques
  154. Mon Jun 29 02:51:26 2026 commencing in-memory singleton removal
  155. Mon Jun 29 02:51:32 2026 begin with 263045063 relations and 226338994 unique ideals
  156. Mon Jun 29 02:52:14 2026 reduce to 262788647 relations and 218856554 ideals in 8 passes
  157. Mon Jun 29 02:52:14 2026 max relations containing the same ideal: 190
  158. Mon Jun 29 02:54:28 2026 removing 8808761 relations and 6808761 ideals in 2000000 cliques
  159. Mon Jun 29 02:54:34 2026 commencing in-memory singleton removal
  160. Mon Jun 29 02:54:40 2026 begin with 253979886 relations and 218856554 unique ideals
  161. Mon Jun 29 02:55:19 2026 reduce to 253736194 relations and 211802336 ideals in 8 passes
  162. Mon Jun 29 02:55:19 2026 max relations containing the same ideal: 188
  163. Mon Jun 29 02:57:31 2026 removing 8512328 relations and 6512328 ideals in 2000000 cliques
  164. Mon Jun 29 02:57:37 2026 commencing in-memory singleton removal
  165. Mon Jun 29 02:57:43 2026 begin with 245223866 relations and 211802336 unique ideals
  166. Mon Jun 29 02:58:12 2026 reduce to 244988298 relations and 205052687 ideals in 6 passes
  167. Mon Jun 29 02:58:12 2026 max relations containing the same ideal: 182
  168. Mon Jun 29 03:00:20 2026 removing 8289369 relations and 6289369 ideals in 2000000 cliques
  169. Mon Jun 29 03:00:26 2026 commencing in-memory singleton removal
  170. Mon Jun 29 03:00:31 2026 begin with 236698929 relations and 205052687 unique ideals
  171. Mon Jun 29 03:01:03 2026 reduce to 236467904 relations and 198530527 ideals in 7 passes
  172. Mon Jun 29 03:01:03 2026 max relations containing the same ideal: 179
  173. Mon Jun 29 03:03:10 2026 removing 8120575 relations and 6120575 ideals in 2000000 cliques
  174. Mon Jun 29 03:03:15 2026 commencing in-memory singleton removal
  175. Mon Jun 29 03:03:21 2026 begin with 228347329 relations and 198530527 unique ideals
  176. Mon Jun 29 03:03:52 2026 reduce to 228117705 relations and 192178501 ideals in 7 passes
  177. Mon Jun 29 03:03:52 2026 max relations containing the same ideal: 176
  178. Mon Jun 29 03:05:54 2026 removing 7995716 relations and 5995716 ideals in 2000000 cliques
  179. Mon Jun 29 03:05:59 2026 commencing in-memory singleton removal
  180. Mon Jun 29 03:06:04 2026 begin with 220121989 relations and 192178501 unique ideals
  181. Mon Jun 29 03:06:35 2026 reduce to 219892295 relations and 185951218 ideals in 7 passes
  182. Mon Jun 29 03:06:35 2026 max relations containing the same ideal: 172
  183. Mon Jun 29 03:08:38 2026 removing 7893711 relations and 5893711 ideals in 2000000 cliques
  184. Mon Jun 29 03:08:43 2026 commencing in-memory singleton removal
  185. Mon Jun 29 03:08:48 2026 begin with 211998584 relations and 185951218 unique ideals
  186. Mon Jun 29 03:09:17 2026 reduce to 211765493 relations and 179822485 ideals in 7 passes
  187. Mon Jun 29 03:09:17 2026 max relations containing the same ideal: 167
  188. Mon Jun 29 03:11:16 2026 removing 7811461 relations and 5811461 ideals in 2000000 cliques
  189. Mon Jun 29 03:11:22 2026 commencing in-memory singleton removal
  190. Mon Jun 29 03:11:27 2026 begin with 203954032 relations and 179822485 unique ideals
  191. Mon Jun 29 03:11:56 2026 reduce to 203717511 relations and 173772438 ideals in 7 passes
  192. Mon Jun 29 03:11:57 2026 max relations containing the same ideal: 164
  193. Mon Jun 29 03:13:48 2026 removing 7754374 relations and 5754374 ideals in 2000000 cliques
  194. Mon Jun 29 03:13:53 2026 commencing in-memory singleton removal
  195. Mon Jun 29 03:13:57 2026 begin with 195963137 relations and 173772438 unique ideals
  196. Mon Jun 29 03:14:28 2026 reduce to 195721654 relations and 167774373 ideals in 7 passes
  197. Mon Jun 29 03:14:28 2026 max relations containing the same ideal: 159
  198. Mon Jun 29 03:16:16 2026 removing 7712552 relations and 5712552 ideals in 2000000 cliques
  199. Mon Jun 29 03:16:20 2026 commencing in-memory singleton removal
  200. Mon Jun 29 03:16:24 2026 begin with 188009102 relations and 167774373 unique ideals
  201. Mon Jun 29 03:16:48 2026 reduce to 187761104 relations and 161811478 ideals in 7 passes
  202. Mon Jun 29 03:16:48 2026 max relations containing the same ideal: 155
  203. Mon Jun 29 03:18:29 2026 removing 7687483 relations and 5687483 ideals in 2000000 cliques
  204. Mon Jun 29 03:18:33 2026 commencing in-memory singleton removal
  205. Mon Jun 29 03:18:37 2026 begin with 180073621 relations and 161811478 unique ideals
  206. Mon Jun 29 03:19:02 2026 reduce to 179816526 relations and 155864422 ideals in 7 passes
  207. Mon Jun 29 03:19:02 2026 max relations containing the same ideal: 149
  208. Mon Jun 29 03:20:40 2026 removing 7673869 relations and 5673869 ideals in 2000000 cliques
  209. Mon Jun 29 03:20:44 2026 commencing in-memory singleton removal
  210. Mon Jun 29 03:20:48 2026 begin with 172142657 relations and 155864422 unique ideals
  211. Mon Jun 29 03:21:15 2026 reduce to 171876158 relations and 149921379 ideals in 8 passes
  212. Mon Jun 29 03:21:15 2026 max relations containing the same ideal: 146
  213. Mon Jun 29 03:22:50 2026 removing 7672527 relations and 5672527 ideals in 2000000 cliques
  214. Mon Jun 29 03:22:55 2026 commencing in-memory singleton removal
  215. Mon Jun 29 03:22:58 2026 begin with 164203631 relations and 149921379 unique ideals
  216. Mon Jun 29 03:23:19 2026 reduce to 163926867 relations and 143969237 ideals in 7 passes
  217. Mon Jun 29 03:23:19 2026 max relations containing the same ideal: 141
  218. Mon Jun 29 03:24:47 2026 removing 7688302 relations and 5688302 ideals in 2000000 cliques
  219. Mon Jun 29 03:24:51 2026 commencing in-memory singleton removal
  220. Mon Jun 29 03:24:54 2026 begin with 156238565 relations and 143969237 unique ideals
  221. Mon Jun 29 03:25:15 2026 reduce to 155947414 relations and 137986580 ideals in 7 passes
  222. Mon Jun 29 03:25:15 2026 max relations containing the same ideal: 135
  223. Mon Jun 29 03:26:40 2026 removing 7711016 relations and 5711016 ideals in 2000000 cliques
  224. Mon Jun 29 03:26:44 2026 commencing in-memory singleton removal
  225. Mon Jun 29 03:26:47 2026 begin with 148236398 relations and 137986580 unique ideals
  226. Mon Jun 29 03:27:06 2026 reduce to 147929445 relations and 131965123 ideals in 7 passes
  227. Mon Jun 29 03:27:06 2026 max relations containing the same ideal: 132
  228. Mon Jun 29 03:28:26 2026 removing 7748602 relations and 5748602 ideals in 2000000 cliques
  229. Mon Jun 29 03:28:30 2026 commencing in-memory singleton removal
  230. Mon Jun 29 03:28:32 2026 begin with 140180843 relations and 131965123 unique ideals
  231. Mon Jun 29 03:28:51 2026 reduce to 139853097 relations and 125884857 ideals in 7 passes
  232. Mon Jun 29 03:28:51 2026 max relations containing the same ideal: 128
  233. Mon Jun 29 03:30:08 2026 removing 7800264 relations and 5800264 ideals in 2000000 cliques
  234. Mon Jun 29 03:30:11 2026 commencing in-memory singleton removal
  235. Mon Jun 29 03:30:14 2026 begin with 132052833 relations and 125884857 unique ideals
  236. Mon Jun 29 03:30:31 2026 reduce to 131700958 relations and 119728224 ideals in 7 passes
  237. Mon Jun 29 03:30:31 2026 max relations containing the same ideal: 121
  238. Mon Jun 29 03:31:46 2026 removing 7863157 relations and 5863157 ideals in 2000000 cliques
  239. Mon Jun 29 03:31:50 2026 commencing in-memory singleton removal
  240. Mon Jun 29 03:31:53 2026 begin with 123837801 relations and 119728224 unique ideals
  241. Mon Jun 29 03:32:09 2026 reduce to 123458322 relations and 113480662 ideals in 7 passes
  242. Mon Jun 29 03:32:09 2026 max relations containing the same ideal: 116
  243. Mon Jun 29 03:33:20 2026 removing 7951309 relations and 5951309 ideals in 2000000 cliques
  244. Mon Jun 29 03:33:23 2026 commencing in-memory singleton removal
  245. Mon Jun 29 03:33:26 2026 begin with 115507013 relations and 113480662 unique ideals
  246. Mon Jun 29 03:33:46 2026 reduce to 115088960 relations and 107105487 ideals in 9 passes
  247. Mon Jun 29 03:33:46 2026 max relations containing the same ideal: 110
  248. Mon Jun 29 03:34:52 2026 removing 8055306 relations and 6055306 ideals in 2000000 cliques
  249. Mon Jun 29 03:34:55 2026 commencing in-memory singleton removal
  250. Mon Jun 29 03:34:57 2026 begin with 107033654 relations and 107105487 unique ideals
  251. Mon Jun 29 03:35:16 2026 reduce to 106574021 relations and 100583672 ideals in 9 passes
  252. Mon Jun 29 03:35:16 2026 max relations containing the same ideal: 106
  253. Mon Jun 29 03:36:15 2026 removing 8191362 relations and 6191362 ideals in 2000000 cliques
  254. Mon Jun 29 03:36:19 2026 commencing in-memory singleton removal
  255. Mon Jun 29 03:36:21 2026 begin with 98382659 relations and 100583672 unique ideals
  256. Mon Jun 29 03:36:35 2026 reduce to 97868086 relations and 93869578 ideals in 8 passes
  257. Mon Jun 29 03:36:35 2026 max relations containing the same ideal: 100
  258. Mon Jun 29 03:37:33 2026 removing 8351307 relations and 6351307 ideals in 2000000 cliques
  259. Mon Jun 29 03:37:36 2026 commencing in-memory singleton removal
  260. Mon Jun 29 03:37:38 2026 begin with 89516779 relations and 93869578 unique ideals
  261. Mon Jun 29 03:37:51 2026 reduce to 88927146 relations and 86918545 ideals in 8 passes
  262. Mon Jun 29 03:37:51 2026 max relations containing the same ideal: 95
  263. Mon Jun 29 03:38:44 2026 removing 1202137 relations and 1017298 ideals in 184839 cliques
  264. Mon Jun 29 03:38:46 2026 commencing in-memory singleton removal
  265. Mon Jun 29 03:38:48 2026 begin with 87725009 relations and 86918545 unique ideals
  266. Mon Jun 29 03:38:58 2026 reduce to 87713916 relations and 85890142 ideals in 6 passes
  267. Mon Jun 29 03:38:58 2026 max relations containing the same ideal: 92
  268. Mon Jun 29 03:39:01 2026 trying target density 90
  269. Mon Jun 29 03:39:12 2026 relations with 0 large ideals: 5700
  270. Mon Jun 29 03:39:12 2026 relations with 1 large ideals: 21650
  271. Mon Jun 29 03:39:12 2026 relations with 2 large ideals: 338315
  272. Mon Jun 29 03:39:12 2026 relations with 3 large ideals: 2276138
  273. Mon Jun 29 03:39:12 2026 relations with 4 large ideals: 8266829
  274. Mon Jun 29 03:39:12 2026 relations with 5 large ideals: 17856439
  275. Mon Jun 29 03:39:12 2026 relations with 6 large ideals: 24060977
  276. Mon Jun 29 03:39:12 2026 relations with 7+ large ideals: 34887868
  277. Mon Jun 29 03:39:12 2026 commencing 2-way merge
  278. Mon Jun 29 03:40:24 2026 reduce to 54114101 relation sets and 52290327 unique ideals
  279. Mon Jun 29 03:40:24 2026 commencing full merge
  280. Mon Jun 29 04:02:04 2026 memory use: 6187.9 MB
  281. Mon Jun 29 04:02:16 2026 found 26885765 cycles, need 26638527
  282. Mon Jun 29 04:02:29 2026 weight of 26638527 cycles is about 2397644728 (90.01/cycle)
  283. Mon Jun 29 04:02:29 2026 distribution of cycle lengths:
  284. Mon Jun 29 04:02:29 2026 1 relations: 2819054
  285. Mon Jun 29 04:02:29 2026 2 relations: 2569379
  286. Mon Jun 29 04:02:29 2026 3 relations: 2621220
  287. Mon Jun 29 04:02:29 2026 4 relations: 2570451
  288. Mon Jun 29 04:02:29 2026 5 relations: 2472156
  289. Mon Jun 29 04:02:29 2026 6 relations: 2331708
  290. Mon Jun 29 04:02:29 2026 7 relations: 2130309
  291. Mon Jun 29 04:02:29 2026 8 relations: 1906381
  292. Mon Jun 29 04:02:29 2026 9 relations: 1644646
  293. Mon Jun 29 04:02:29 2026 10+ relations: 5573223
  294. Mon Jun 29 04:02:29 2026 heaviest cycle: 21 relations
  295. Mon Jun 29 04:02:38 2026 commencing cycle optimization
  296. Mon Jun 29 04:03:45 2026 start with 166450060 relations
  297. Mon Jun 29 04:09:51 2026 pruned 4720070 relations
  298. Mon Jun 29 04:09:55 2026 memory use: 5299.4 MB
  299. Mon Jun 29 04:09:55 2026 distribution of cycle lengths:
  300. Mon Jun 29 04:09:55 2026 1 relations: 2819054
  301. Mon Jun 29 04:09:55 2026 2 relations: 2631064
  302. Mon Jun 29 04:09:55 2026 3 relations: 2717328
  303. Mon Jun 29 04:09:55 2026 4 relations: 2645618
  304. Mon Jun 29 04:09:55 2026 5 relations: 2554529
  305. Mon Jun 29 04:09:55 2026 6 relations: 2391372
  306. Mon Jun 29 04:09:55 2026 7 relations: 2185382
  307. Mon Jun 29 04:09:55 2026 8 relations: 1933920
  308. Mon Jun 29 04:09:55 2026 9 relations: 1653318
  309. Mon Jun 29 04:09:55 2026 10+ relations: 5106942
  310. Mon Jun 29 04:09:55 2026 heaviest cycle: 21 relations
  311. Mon Jun 29 04:11:11 2026 trying target density 110
  312. Mon Jun 29 04:11:21 2026 relations with 0 large ideals: 5700
  313. Mon Jun 29 04:11:21 2026 relations with 1 large ideals: 21650
  314. Mon Jun 29 04:11:21 2026 relations with 2 large ideals: 338315
  315. Mon Jun 29 04:11:21 2026 relations with 3 large ideals: 2276138
  316. Mon Jun 29 04:11:21 2026 relations with 4 large ideals: 8266829
  317. Mon Jun 29 04:11:21 2026 relations with 5 large ideals: 17856439
  318. Mon Jun 29 04:11:21 2026 relations with 6 large ideals: 24060977
  319. Mon Jun 29 04:11:21 2026 relations with 7+ large ideals: 34887868
  320. Mon Jun 29 04:11:21 2026 commencing 2-way merge
  321. Mon Jun 29 04:12:28 2026 reduce to 54114101 relation sets and 52290327 unique ideals
  322. Mon Jun 29 04:12:28 2026 commencing full merge
  323. Mon Jun 29 04:38:19 2026 memory use: 6364.3 MB
  324. Mon Jun 29 04:38:29 2026 found 25037346 cycles, need 24832527
  325. Mon Jun 29 04:38:39 2026 weight of 24832527 cycles is about 2732173974 (110.02/cycle)
  326. Mon Jun 29 04:38:39 2026 distribution of cycle lengths:
  327. Mon Jun 29 04:38:39 2026 1 relations: 2077039
  328. Mon Jun 29 04:38:39 2026 2 relations: 1959505
  329. Mon Jun 29 04:38:40 2026 3 relations: 2006437
  330. Mon Jun 29 04:38:40 2026 4 relations: 1951969
  331. Mon Jun 29 04:38:40 2026 5 relations: 1934094
  332. Mon Jun 29 04:38:40 2026 6 relations: 1873334
  333. Mon Jun 29 04:38:40 2026 7 relations: 1811904
  334. Mon Jun 29 04:38:40 2026 8 relations: 1697107
  335. Mon Jun 29 04:38:40 2026 9 relations: 1559782
  336. Mon Jun 29 04:38:40 2026 10+ relations: 7961356
  337. Mon Jun 29 04:38:40 2026 heaviest cycle: 26 relations
  338. Mon Jun 29 04:38:47 2026 commencing cycle optimization
  339. Mon Jun 29 04:40:03 2026 start with 189025107 relations
  340. Mon Jun 29 04:49:03 2026 pruned 6758861 relations
  341. Mon Jun 29 04:49:06 2026 memory use: 5530.6 MB
  342. Mon Jun 29 04:49:07 2026 distribution of cycle lengths:
  343. Mon Jun 29 04:49:07 2026 1 relations: 2077039
  344. Mon Jun 29 04:49:07 2026 2 relations: 2008311
  345. Mon Jun 29 04:49:07 2026 3 relations: 2083206
  346. Mon Jun 29 04:49:07 2026 4 relations: 2018566
  347. Mon Jun 29 04:49:07 2026 5 relations: 2011896
  348. Mon Jun 29 04:49:07 2026 6 relations: 1941797
  349. Mon Jun 29 04:49:07 2026 7 relations: 1879532
  350. Mon Jun 29 04:49:07 2026 8 relations: 1752222
  351. Mon Jun 29 04:49:07 2026 9 relations: 1604510
  352. Mon Jun 29 04:49:07 2026 10+ relations: 7455448
  353. Mon Jun 29 04:49:07 2026 heaviest cycle: 26 relations
  354. Mon Jun 29 04:50:22 2026 trying target density 130
  355. Mon Jun 29 04:50:33 2026 relations with 0 large ideals: 5700
  356. Mon Jun 29 04:50:33 2026 relations with 1 large ideals: 21650
  357. Mon Jun 29 04:50:33 2026 relations with 2 large ideals: 338315
  358. Mon Jun 29 04:50:33 2026 relations with 3 large ideals: 2276138
  359. Mon Jun 29 04:50:33 2026 relations with 4 large ideals: 8266829
  360. Mon Jun 29 04:50:33 2026 relations with 5 large ideals: 17856439
  361. Mon Jun 29 04:50:33 2026 relations with 6 large ideals: 24060977
  362. Mon Jun 29 04:50:33 2026 relations with 7+ large ideals: 34887868
  363. Mon Jun 29 04:50:33 2026 commencing 2-way merge
  364. Mon Jun 29 04:51:45 2026 reduce to 54114101 relation sets and 52290327 unique ideals
  365. Mon Jun 29 04:51:45 2026 commencing full merge
  366. Mon Jun 29 05:23:35 2026 memory use: 6475.5 MB
  367. Mon Jun 29 05:23:49 2026 found 23577908 cycles, need 23526527
  368. Mon Jun 29 05:23:57 2026 weight of 23526527 cycles is about 3058639303 (130.01/cycle)
  369. Mon Jun 29 05:23:57 2026 distribution of cycle lengths:
  370. Mon Jun 29 05:23:57 2026 1 relations: 1554807
  371. Mon Jun 29 05:23:57 2026 2 relations: 1561719
  372. Mon Jun 29 05:23:57 2026 3 relations: 1611139
  373. Mon Jun 29 05:23:57 2026 4 relations: 1579131
  374. Mon Jun 29 05:23:57 2026 5 relations: 1590947
  375. Mon Jun 29 05:23:57 2026 6 relations: 1549120
  376. Mon Jun 29 05:23:57 2026 7 relations: 1539046
  377. Mon Jun 29 05:23:57 2026 8 relations: 1464096
  378. Mon Jun 29 05:23:57 2026 9 relations: 1409259
  379. Mon Jun 29 05:23:57 2026 10+ relations: 9667263
  380. Mon Jun 29 05:23:57 2026 heaviest cycle: 28 relations
  381. Mon Jun 29 05:24:05 2026 commencing cycle optimization
  382. Mon Jun 29 05:25:27 2026 start with 210774856 relations
  383. Mon Jun 29 05:37:23 2026 pruned 8889645 relations
  384. Mon Jun 29 05:37:23 2026 memory use: 5751.3 MB
  385. Mon Jun 29 05:37:23 2026 distribution of cycle lengths:
  386. Mon Jun 29 05:37:23 2026 1 relations: 1554807
  387. Mon Jun 29 05:37:23 2026 2 relations: 1601290
  388. Mon Jun 29 05:37:23 2026 3 relations: 1673867
  389. Mon Jun 29 05:37:23 2026 4 relations: 1638162
  390. Mon Jun 29 05:37:23 2026 5 relations: 1660356
  391. Mon Jun 29 05:37:23 2026 6 relations: 1616355
  392. Mon Jun 29 05:37:23 2026 7 relations: 1607311
  393. Mon Jun 29 05:37:23 2026 8 relations: 1528570
  394. Mon Jun 29 05:37:23 2026 9 relations: 1469077
  395. Mon Jun 29 05:37:23 2026 10+ relations: 9176732
  396. Mon Jun 29 05:37:23 2026 heaviest cycle: 28 relations
  397. Mon Jun 29 05:38:36 2026 RelProcTime: 20550
  398. Mon Jun 29 05:38:36 2026
  399. Mon Jun 29 05:38:36 2026 commencing linear algebra
  400. Mon Jun 29 05:38:36 2026 using VBITS=256
  401. Mon Jun 29 05:38:36 2026 building matrices for all densities
  402. Mon Jun 29 05:38:36 2026 found 3 density files
  403. Mon Jun 29 05:38:36 2026 building matrix for density 90
  404. Mon Jun 29 05:38:38 2026 read 26638527 cycles
  405. Mon Jun 29 05:39:29 2026 cycles contain 86634210 unique relations
  406. Mon Jun 29 05:49:00 2026 read 86634210 relations
  407. Mon Jun 29 05:49:47 2026 using 20 quadratic characters above 4294917295
  408. Mon Jun 29 05:50:42 2026 building initial matrix
  409. Mon Jun 29 06:11:48 2026 memory use: 12277.1 MB
  410. Mon Jun 29 06:12:05 2026 read 26638527 cycles
  411. Mon Jun 29 06:12:09 2026 matrix is 26638350 x 26638527 (9965.4 MB) with weight 3104710377 (116.55/col)
  412. Mon Jun 29 06:12:09 2026 sparse part has weight 2292715353 (86.07/col)
  413. Mon Jun 29 06:17:54 2026 filtering completed in 2 passes
  414. Mon Jun 29 06:18:00 2026 matrix is 26632895 x 26633072 (9965.0 MB) with weight 3104499666 (116.57/col)
  415. Mon Jun 29 06:18:00 2026 sparse part has weight 2292671543 (86.08/col)
  416. Mon Jun 29 06:19:13 2026 building matrix for density 110
  417. Mon Jun 29 06:19:17 2026 read 24832527 cycles
  418. Mon Jun 29 06:20:11 2026 cycles contain 86652011 unique relations
  419. Mon Jun 29 06:26:22 2026 read 86652011 relations
  420. Mon Jun 29 06:27:07 2026 using 20 quadratic characters above 4294917295
  421. Mon Jun 29 06:27:59 2026 building initial matrix
  422. Mon Jun 29 06:52:01 2026 memory use: 12302.4 MB
  423. Mon Jun 29 06:52:18 2026 read 24832527 cycles
  424. Mon Jun 29 06:52:21 2026 matrix is 24832349 x 24832527 (10953.8 MB) with weight 3376497224 (135.97/col)
  425. Mon Jun 29 06:52:21 2026 sparse part has weight 2573487218 (103.63/col)
  426. Mon Jun 29 06:57:30 2026 filtering completed in 2 passes
  427. Mon Jun 29 06:57:37 2026 matrix is 24830032 x 24830210 (10953.6 MB) with weight 3376393700 (135.98/col)
  428. Mon Jun 29 06:57:37 2026 sparse part has weight 2573461942 (103.64/col)
  429. Mon Jun 29 06:59:10 2026 building matrix for density 130
  430. Mon Jun 29 06:59:14 2026 read 23526527 cycles
  431. Mon Jun 29 07:00:06 2026 cycles contain 86646603 unique relations
  432. Mon Jun 29 07:08:27 2026 read 86646603 relations
  433. Mon Jun 29 07:09:17 2026 using 20 quadratic characters above 4294917295
  434. Mon Jun 29 07:10:11 2026 building initial matrix
  435. Mon Jun 29 07:36:58 2026 memory use: 12336.9 MB
  436. Mon Jun 29 07:37:48 2026 read 23526527 cycles
  437. Mon Jun 29 07:37:52 2026 matrix is 23526350 x 23526527 (11922.9 MB) with weight 3640630422 (154.75/col)
  438. Mon Jun 29 07:37:52 2026 sparse part has weight 2843205155 (120.85/col)
  439. Mon Jun 29 07:43:09 2026 filtering completed in 2 passes
  440. Mon Jun 29 07:43:15 2026 matrix is 23525923 x 23526100 (11922.9 MB) with weight 3640610324 (154.75/col)
  441. Mon Jun 29 07:43:15 2026 sparse part has weight 2843200735 (120.85/col)
  442. Mon Jun 29 07:44:01 2026 BLanczosTime: 7525
  443. Mon Jun 29 07:44:01 2026 elapsed time 07:47:56
  444. Mon Jun 29 15:24:34 2026
  445. Mon Jun 29 15:24:34 2026
  446. Mon Jun 29 15:24:34 2026 Msieve v. 1.54 (SVN unknown)
  447. Mon Jun 29 15:24:34 2026 random seeds: d1b25088 ca057ff1
  448. Mon Jun 29 15:24:34 2026 Using 8 OpenMP threads
  449. Mon Jun 29 15:24:34 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits)
  450. Mon Jun 29 15:24:35 2026 no P-1/P+1/ECM available, skipping
  451. Mon Jun 29 15:24:35 2026 commencing number field sieve (188-digit input)
  452. Mon Jun 29 15:24:35 2026 R0: -2470889397791666799469152978463348088
  453. Mon Jun 29 15:24:35 2026 R1: 124033822411057866802189
  454. Mon Jun 29 15:24:35 2026 A0: 356742716443672472136767972420670540875936760
  455. Mon Jun 29 15:24:35 2026 A1: 260728535075783999410077121625073522
  456. Mon Jun 29 15:24:35 2026 A2: -1728704485284696624226212465949
  457. Mon Jun 29 15:24:35 2026 A3: 7481513286656611279483
  458. Mon Jun 29 15:24:35 2026 A4: 293559451150104
  459. Mon Jun 29 15:24:35 2026 A5: 1441440
  460. Mon Jun 29 15:24:35 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3
  461. Mon Jun 29 15:24:35 2026
  462. Mon Jun 29 15:24:35 2026 commencing linear algebra
  463. Mon Jun 29 15:24:35 2026 using VBITS=256
  464. Mon Jun 29 15:24:35 2026 skipping matrix build
  465. Mon Jun 29 15:24:43 2026 matrix starts at (0, 0)
  466. Mon Jun 29 15:24:47 2026 matrix is 23525923 x 23526100 (11922.9 MB) with weight 3640610324 (154.75/col)
  467. Mon Jun 29 15:24:47 2026 sparse part has weight 2843200735 (120.85/col)
  468. Mon Jun 29 15:24:47 2026 saving the first 240 matrix rows for later
  469. Mon Jun 29 15:24:55 2026 matrix includes 256 packed rows
  470. Mon Jun 29 15:25:05 2026 matrix is 23525683 x 23526100 (10855.4 MB) with weight 2619767893 (111.36/col)
  471. Mon Jun 29 15:25:05 2026 sparse part has weight 2469272459 (104.96/col)
  472. Mon Jun 29 15:25:06 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  473. Mon Jun 29 15:25:06 2026 selected card has CUDA arch 12.0
  474. Mon Jun 29 15:25:10 2026 computed block_nnz 165086000 (L2 cache 100663296 bytes, average column weight 105.0)
  475. Mon Jun 29 15:25:10 2026 nonzeros per matrix block: 256000000
  476. Mon Jun 29 15:34:10 2026 commencing Lanczos iteration
  477. Mon Jun 29 15:34:12 2026 memory use: 26377.6 MB
  478. Mon Jun 29 15:34:36 2026 linear algebra at 0.1%, ETA 4h54m
  479. Mon Jun 29 15:35:11 2026 checking every 70000 dimensions, checkpointing every 4830000 dimensions
  480. Mon Jun 29 20:34:16 2026 lanczos halted after 92174 iterations (dim = 23525681)
  481. Mon Jun 29 20:36:31 2026 recovered 30 nontrivial dependencies
  482. Mon Jun 29 20:36:32 2026 BLanczosTime: 18717
  483. Mon Jun 29 20:36:32 2026 elapsed time 05:11:58
  484. Mon Jun 29 16:51:43 2026
  485. Mon Jun 29 16:51:43 2026
  486. Mon Jun 29 16:51:43 2026 Msieve v. 1.54 (SVN unknown)
  487. Mon Jun 29 16:51:43 2026 random seeds: 88a54371 d580aa2a
  488. Mon Jun 29 16:51:43 2026 Using 8 OpenMP threads
  489. Mon Jun 29 16:51:43 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits)
  490. Mon Jun 29 16:51:43 2026 no P-1/P+1/ECM available, skipping
  491. Mon Jun 29 16:51:43 2026 commencing number field sieve (188-digit input)
  492. Mon Jun 29 16:51:43 2026 R0: -2470889397791666799469152978463348088
  493. Mon Jun 29 16:51:43 2026 R1: 124033822411057866802189
  494. Mon Jun 29 16:51:43 2026 A0: 356742716443672472136767972420670540875936760
  495. Mon Jun 29 16:51:43 2026 A1: 260728535075783999410077121625073522
  496. Mon Jun 29 16:51:43 2026 A2: -1728704485284696624226212465949
  497. Mon Jun 29 16:51:43 2026 A3: 7481513286656611279483
  498. Mon Jun 29 16:51:43 2026 A4: 293559451150104
  499. Mon Jun 29 16:51:43 2026 A5: 1441440
  500. Mon Jun 29 16:51:43 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3
  501. Mon Jun 29 16:51:43 2026
  502. Mon Jun 29 16:51:43 2026 commencing square root phase
  503. Mon Jun 29 16:51:43 2026 reading relations for dependency 1
  504. Mon Jun 29 16:51:51 2026 read 11760407 cycles
  505. Mon Jun 29 16:52:16 2026 cycles contain 43314614 unique relations
  506. Mon Jun 29 17:02:14 2026 read 43314614 relations
  507. Mon Jun 29 17:05:04 2026 multiplying 43314614 relations
  508. Mon Jun 29 17:11:00 2026 multiply complete, coefficients have about 2612.19 million bits
  509. Mon Jun 29 17:11:03 2026 initial square root is modulo 722431
  510. Mon Jun 29 17:22:12 2026 GCD is 1, no factor found
  511. Mon Jun 29 17:22:12 2026 reading relations for dependency 2
  512. Mon Jun 29 17:22:20 2026 read 11764559 cycles
  513. Mon Jun 29 17:22:40 2026 cycles contain 43328960 unique relations
  514. Mon Jun 29 17:30:15 2026 read 43328960 relations
  515. Mon Jun 29 17:32:50 2026 multiplying 43328960 relations
  516. Mon Jun 29 17:38:55 2026 multiply complete, coefficients have about 2613.07 million bits
  517. Mon Jun 29 17:39:01 2026 initial square root is modulo 725897
  518. Mon Jun 29 17:50:31 2026 sqrtTime: 3528
  519. Mon Jun 29 17:50:31 2026 p85 factor: 2440636539449217384988554478426755758728448626496723553366100049401809464603726950849
  520. Mon Jun 29 17:50:31 2026 p103 factor: 6799460309648644301116404753431380760924872919314036847938467270665816539891295292334151384243138358377
  521. Mon Jun 29 17:50:31 2026 elapsed time 00:58:48
  522.  
Tags: math
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