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Aug 26th, 2026
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  1. Tue Aug 25 17:20:03 2026
  2. Tue Aug 25 17:20:03 2026
  3. Tue Aug 25 17:20:03 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Aug 25 17:20:03 2026 random seeds: 9a9f09ff 2bfbb94d
  5. Tue Aug 25 17:20:03 2026 MPI process 0 of 1
  6. Tue Aug 25 17:20:03 2026 Using 46 OpenMP threads
  7. Tue Aug 25 17:20:03 2026 factoring 2363462201328188218057911737238798556916591618037221455308004642575128742991000385106844906639933730734277684171125875561671744187122133942638863171799193116793278663895312660705426264312627603774103486343739883573 (214 digits)
  8. Tue Aug 25 17:20:04 2026 no P-1/P+1/ECM available, skipping
  9. Tue Aug 25 17:20:04 2026 commencing number field sieve (214-digit input)
  10. Tue Aug 25 17:20:04 2026 R0: 72890483685103052142902866787761839379440139451
  11. Tue Aug 25 17:20:04 2026 R1: -103945637534048876111514866313854976
  12. Tue Aug 25 17:20:04 2026 A0: 11
  13. Tue Aug 25 17:20:04 2026 A1: 0
  14. Tue Aug 25 17:20:04 2026 A2: 0
  15. Tue Aug 25 17:20:04 2026 A3: 0
  16. Tue Aug 25 17:20:04 2026 A4: 0
  17. Tue Aug 25 17:20:04 2026 A5: 0
  18. Tue Aug 25 17:20:04 2026 A6: 6
  19. Tue Aug 25 17:20:04 2026 skew 1.11, size 6.853e-14, alpha 0.966, combined = 1.515e-14 rroots = 0
  20. Tue Aug 25 17:20:04 2026
  21. Tue Aug 25 17:20:04 2026 commencing relation filtering
  22. Tue Aug 25 17:20:04 2026 setting target matrix density to 110.0
  23. Tue Aug 25 17:20:04 2026 estimated available RAM is 192068.7 MB
  24. Tue Aug 25 17:20:04 2026 commencing duplicate removal, pass 1
  25. Tue Aug 25 17:27:25 2026 skipped 2 relations with composite factors
  26. Tue Aug 25 17:27:25 2026 skipped 1838 malformed relations
  27. Tue Aug 25 17:27:25 2026 found 26043809 hash collisions in 686816926 relations
  28. Tue Aug 25 17:27:41 2026 added 1218210 free relations
  29. Tue Aug 25 17:27:41 2026 commencing duplicate removal, pass 2
  30. Tue Aug 25 17:30:28 2026 found 0 duplicates and 688035136 unique relations
  31. Tue Aug 25 17:30:28 2026 memory use: 2089.5 MB
  32. Tue Aug 25 17:30:28 2026 reading ideals above 720000
  33. Tue Aug 25 17:30:28 2026 commencing singleton removal, initial pass
  34. Tue Aug 25 18:01:47 2026 memory use: 11024.0 MB
  35. Tue Aug 25 18:01:47 2026 reading all ideals from disk
  36. Tue Aug 25 18:02:09 2026 memory use: 34961.3 MB
  37. Tue Aug 25 18:03:01 2026 keeping 627419661 ideals with weight <= 200, target excess is 3546436
  38. Tue Aug 25 18:04:11 2026 commencing in-memory singleton removal
  39. Tue Aug 25 18:04:18 2026 begin with 688035136 relations and 627419661 unique ideals
  40. Tue Aug 25 18:04:48 2026 reduce to 434377311 relations and 348375296 ideals in 15 passes
  41. Tue Aug 25 18:04:48 2026 max relations containing the same ideal: 155
  42. Tue Aug 25 18:06:33 2026 removing 15011075 relations and 13011075 ideals in 2000000 cliques
  43. Tue Aug 25 18:06:46 2026 commencing in-memory singleton removal
  44. Tue Aug 25 18:06:50 2026 begin with 419366236 relations and 348375296 unique ideals
  45. Tue Aug 25 18:07:03 2026 reduce to 418974667 relations and 334970002 ideals in 8 passes
  46. Tue Aug 25 18:07:03 2026 max relations containing the same ideal: 153
  47. Tue Aug 25 18:08:42 2026 removing 11289723 relations and 9289723 ideals in 2000000 cliques
  48. Tue Aug 25 18:08:54 2026 commencing in-memory singleton removal
  49. Tue Aug 25 18:08:58 2026 begin with 407684944 relations and 334970002 unique ideals
  50. Tue Aug 25 18:09:09 2026 reduce to 407440393 relations and 325434326 ideals in 7 passes
  51. Tue Aug 25 18:09:09 2026 max relations containing the same ideal: 149
  52. Tue Aug 25 18:10:44 2026 removing 10104206 relations and 8104206 ideals in 2000000 cliques
  53. Tue Aug 25 18:10:55 2026 commencing in-memory singleton removal
  54. Tue Aug 25 18:10:59 2026 begin with 397336187 relations and 325434326 unique ideals
  55. Tue Aug 25 18:11:10 2026 reduce to 397130191 relations and 317123065 ideals in 7 passes
  56. Tue Aug 25 18:11:10 2026 max relations containing the same ideal: 147
  57. Tue Aug 25 18:12:45 2026 removing 9428391 relations and 7428391 ideals in 2000000 cliques
  58. Tue Aug 25 18:12:56 2026 commencing in-memory singleton removal
  59. Tue Aug 25 18:13:00 2026 begin with 387701800 relations and 317123065 unique ideals
  60. Tue Aug 25 18:13:12 2026 reduce to 387516022 relations and 309507988 ideals in 8 passes
  61. Tue Aug 25 18:13:12 2026 max relations containing the same ideal: 146
  62. Tue Aug 25 18:14:43 2026 removing 8970975 relations and 6970975 ideals in 2000000 cliques
  63. Tue Aug 25 18:14:53 2026 commencing in-memory singleton removal
  64. Tue Aug 25 18:14:57 2026 begin with 378545047 relations and 309507988 unique ideals
  65. Tue Aug 25 18:15:08 2026 reduce to 378371303 relations and 302362337 ideals in 8 passes
  66. Tue Aug 25 18:15:08 2026 max relations containing the same ideal: 146
  67. Tue Aug 25 18:16:37 2026 removing 8633086 relations and 6633086 ideals in 2000000 cliques
  68. Tue Aug 25 18:16:47 2026 commencing in-memory singleton removal
  69. Tue Aug 25 18:16:51 2026 begin with 369738217 relations and 302362337 unique ideals
  70. Tue Aug 25 18:17:01 2026 reduce to 369573560 relations and 295563718 ideals in 7 passes
  71. Tue Aug 25 18:17:01 2026 max relations containing the same ideal: 144
  72. Tue Aug 25 18:18:29 2026 removing 8376023 relations and 6376023 ideals in 2000000 cliques
  73. Tue Aug 25 18:18:38 2026 commencing in-memory singleton removal
  74. Tue Aug 25 18:18:42 2026 begin with 361197537 relations and 295563718 unique ideals
  75. Tue Aug 25 18:18:52 2026 reduce to 361036890 relations and 289026178 ideals in 7 passes
  76. Tue Aug 25 18:18:52 2026 max relations containing the same ideal: 141
  77. Tue Aug 25 18:20:17 2026 removing 8164140 relations and 6164140 ideals in 2000000 cliques
  78. Tue Aug 25 18:20:27 2026 commencing in-memory singleton removal
  79. Tue Aug 25 18:20:31 2026 begin with 352872750 relations and 289026178 unique ideals
  80. Tue Aug 25 18:20:39 2026 reduce to 352717147 relations and 282705554 ideals in 6 passes
  81. Tue Aug 25 18:20:39 2026 max relations containing the same ideal: 138
  82. Tue Aug 25 18:22:02 2026 removing 7999471 relations and 5999471 ideals in 2000000 cliques
  83. Tue Aug 25 18:22:12 2026 commencing in-memory singleton removal
  84. Tue Aug 25 18:22:15 2026 begin with 344717676 relations and 282705554 unique ideals
  85. Tue Aug 25 18:22:25 2026 reduce to 344565688 relations and 276553233 ideals in 7 passes
  86. Tue Aug 25 18:22:25 2026 max relations containing the same ideal: 136
  87. Tue Aug 25 18:23:46 2026 removing 7860146 relations and 5860146 ideals in 2000000 cliques
  88. Tue Aug 25 18:23:55 2026 commencing in-memory singleton removal
  89. Tue Aug 25 18:23:58 2026 begin with 336705542 relations and 276553233 unique ideals
  90. Tue Aug 25 18:24:07 2026 reduce to 336554109 relations and 270540750 ideals in 6 passes
  91. Tue Aug 25 18:24:07 2026 max relations containing the same ideal: 134
  92. Tue Aug 25 18:25:30 2026 removing 7743023 relations and 5743023 ideals in 2000000 cliques
  93. Tue Aug 25 18:25:39 2026 commencing in-memory singleton removal
  94. Tue Aug 25 18:25:42 2026 begin with 328811086 relations and 270540750 unique ideals
  95. Tue Aug 25 18:25:52 2026 reduce to 328662398 relations and 264648173 ideals in 7 passes
  96. Tue Aug 25 18:25:52 2026 max relations containing the same ideal: 132
  97. Tue Aug 25 18:27:10 2026 removing 7647206 relations and 5647206 ideals in 2000000 cliques
  98. Tue Aug 25 18:27:19 2026 commencing in-memory singleton removal
  99. Tue Aug 25 18:27:22 2026 begin with 321015192 relations and 264648173 unique ideals
  100. Tue Aug 25 18:27:30 2026 reduce to 320866618 relations and 258851456 ideals in 6 passes
  101. Tue Aug 25 18:27:30 2026 max relations containing the same ideal: 131
  102. Tue Aug 25 18:28:53 2026 removing 7563299 relations and 5563299 ideals in 2000000 cliques
  103. Tue Aug 25 18:29:03 2026 commencing in-memory singleton removal
  104. Tue Aug 25 18:29:06 2026 begin with 313303319 relations and 258851456 unique ideals
  105. Tue Aug 25 18:29:13 2026 reduce to 313152989 relations and 253136926 ideals in 6 passes
  106. Tue Aug 25 18:29:13 2026 max relations containing the same ideal: 130
  107. Tue Aug 25 18:30:35 2026 removing 7489419 relations and 5489419 ideals in 2000000 cliques
  108. Tue Aug 25 18:30:44 2026 commencing in-memory singleton removal
  109. Tue Aug 25 18:30:47 2026 begin with 305663570 relations and 253136926 unique ideals
  110. Tue Aug 25 18:30:55 2026 reduce to 305514108 relations and 247497051 ideals in 7 passes
  111. Tue Aug 25 18:30:55 2026 max relations containing the same ideal: 129
  112. Tue Aug 25 18:32:09 2026 removing 7433494 relations and 5433494 ideals in 2000000 cliques
  113. Tue Aug 25 18:32:17 2026 commencing in-memory singleton removal
  114. Tue Aug 25 18:32:20 2026 begin with 298080614 relations and 247497051 unique ideals
  115. Tue Aug 25 18:32:28 2026 reduce to 297929981 relations and 241911950 ideals in 6 passes
  116. Tue Aug 25 18:32:28 2026 max relations containing the same ideal: 126
  117. Tue Aug 25 18:33:41 2026 removing 7380058 relations and 5380058 ideals in 2000000 cliques
  118. Tue Aug 25 18:33:49 2026 commencing in-memory singleton removal
  119. Tue Aug 25 18:33:52 2026 begin with 290549923 relations and 241911950 unique ideals
  120. Tue Aug 25 18:33:59 2026 reduce to 290398712 relations and 236379690 ideals in 6 passes
  121. Tue Aug 25 18:33:59 2026 max relations containing the same ideal: 124
  122. Tue Aug 25 18:35:10 2026 removing 7338227 relations and 5338227 ideals in 2000000 cliques
  123. Tue Aug 25 18:35:18 2026 commencing in-memory singleton removal
  124. Tue Aug 25 18:35:21 2026 begin with 283060485 relations and 236379690 unique ideals
  125. Tue Aug 25 18:35:28 2026 reduce to 282907579 relations and 230887451 ideals in 7 passes
  126. Tue Aug 25 18:35:28 2026 max relations containing the same ideal: 120
  127. Tue Aug 25 18:36:38 2026 removing 7299353 relations and 5299353 ideals in 2000000 cliques
  128. Tue Aug 25 18:36:45 2026 commencing in-memory singleton removal
  129. Tue Aug 25 18:36:48 2026 begin with 275608226 relations and 230887451 unique ideals
  130. Tue Aug 25 18:36:55 2026 reduce to 275452730 relations and 225431499 ideals in 7 passes
  131. Tue Aug 25 18:36:55 2026 max relations containing the same ideal: 118
  132. Tue Aug 25 18:38:03 2026 removing 7272455 relations and 5272455 ideals in 2000000 cliques
  133. Tue Aug 25 18:38:11 2026 commencing in-memory singleton removal
  134. Tue Aug 25 18:38:13 2026 begin with 268180275 relations and 225431499 unique ideals
  135. Tue Aug 25 18:38:20 2026 reduce to 268022680 relations and 220000271 ideals in 6 passes
  136. Tue Aug 25 18:38:20 2026 max relations containing the same ideal: 115
  137. Tue Aug 25 18:39:25 2026 removing 7242438 relations and 5242438 ideals in 2000000 cliques
  138. Tue Aug 25 18:39:32 2026 commencing in-memory singleton removal
  139. Tue Aug 25 18:39:35 2026 begin with 260780242 relations and 220000271 unique ideals
  140. Tue Aug 25 18:39:41 2026 reduce to 260619558 relations and 214595955 ideals in 6 passes
  141. Tue Aug 25 18:39:41 2026 max relations containing the same ideal: 113
  142. Tue Aug 25 18:40:44 2026 removing 7222369 relations and 5222369 ideals in 2000000 cliques
  143. Tue Aug 25 18:40:52 2026 commencing in-memory singleton removal
  144. Tue Aug 25 18:40:54 2026 begin with 253397189 relations and 214595955 unique ideals
  145. Tue Aug 25 18:41:00 2026 reduce to 253234772 relations and 209209905 ideals in 6 passes
  146. Tue Aug 25 18:41:00 2026 max relations containing the same ideal: 110
  147. Tue Aug 25 18:42:02 2026 removing 7207589 relations and 5207589 ideals in 2000000 cliques
  148. Tue Aug 25 18:42:09 2026 commencing in-memory singleton removal
  149. Tue Aug 25 18:42:11 2026 begin with 246027183 relations and 209209905 unique ideals
  150. Tue Aug 25 18:42:17 2026 reduce to 245861071 relations and 203834844 ideals in 6 passes
  151. Tue Aug 25 18:42:17 2026 max relations containing the same ideal: 109
  152. Tue Aug 25 18:43:18 2026 removing 7200665 relations and 5200665 ideals in 2000000 cliques
  153. Tue Aug 25 18:43:24 2026 commencing in-memory singleton removal
  154. Tue Aug 25 18:43:27 2026 begin with 238660406 relations and 203834844 unique ideals
  155. Tue Aug 25 18:43:33 2026 reduce to 238491981 relations and 198464426 ideals in 6 passes
  156. Tue Aug 25 18:43:33 2026 max relations containing the same ideal: 108
  157. Tue Aug 25 18:44:31 2026 removing 7189285 relations and 5189285 ideals in 2000000 cliques
  158. Tue Aug 25 18:44:38 2026 commencing in-memory singleton removal
  159. Tue Aug 25 18:44:40 2026 begin with 231302696 relations and 198464426 unique ideals
  160. Tue Aug 25 18:44:46 2026 reduce to 231129366 relations and 193100368 ideals in 6 passes
  161. Tue Aug 25 18:44:46 2026 max relations containing the same ideal: 106
  162. Tue Aug 25 18:45:43 2026 removing 7188263 relations and 5188263 ideals in 2000000 cliques
  163. Tue Aug 25 18:45:49 2026 commencing in-memory singleton removal
  164. Tue Aug 25 18:45:52 2026 begin with 223941103 relations and 193100368 unique ideals
  165. Tue Aug 25 18:45:58 2026 reduce to 223762331 relations and 187731834 ideals in 7 passes
  166. Tue Aug 25 18:45:58 2026 max relations containing the same ideal: 103
  167. Tue Aug 25 18:46:53 2026 removing 7185903 relations and 5185903 ideals in 2000000 cliques
  168. Tue Aug 25 18:46:59 2026 commencing in-memory singleton removal
  169. Tue Aug 25 18:47:02 2026 begin with 216576428 relations and 187731834 unique ideals
  170. Tue Aug 25 18:47:07 2026 reduce to 216392561 relations and 182360493 ideals in 7 passes
  171. Tue Aug 25 18:47:07 2026 max relations containing the same ideal: 101
  172. Tue Aug 25 18:48:02 2026 removing 7190715 relations and 5190715 ideals in 2000000 cliques
  173. Tue Aug 25 18:48:08 2026 commencing in-memory singleton removal
  174. Tue Aug 25 18:48:10 2026 begin with 209201846 relations and 182360493 unique ideals
  175. Tue Aug 25 18:48:15 2026 reduce to 209013044 relations and 176979208 ideals in 6 passes
  176. Tue Aug 25 18:48:15 2026 max relations containing the same ideal: 98
  177. Tue Aug 25 18:49:07 2026 removing 7197597 relations and 5197597 ideals in 2000000 cliques
  178. Tue Aug 25 18:49:13 2026 commencing in-memory singleton removal
  179. Tue Aug 25 18:49:15 2026 begin with 201815447 relations and 176979208 unique ideals
  180. Tue Aug 25 18:49:20 2026 reduce to 201621453 relations and 171585767 ideals in 6 passes
  181. Tue Aug 25 18:49:20 2026 max relations containing the same ideal: 94
  182. Tue Aug 25 18:50:11 2026 removing 7205784 relations and 5205784 ideals in 2000000 cliques
  183. Tue Aug 25 18:50:17 2026 commencing in-memory singleton removal
  184. Tue Aug 25 18:50:19 2026 begin with 194415669 relations and 171585767 unique ideals
  185. Tue Aug 25 18:50:23 2026 reduce to 194215116 relations and 166177414 ideals in 6 passes
  186. Tue Aug 25 18:50:23 2026 max relations containing the same ideal: 92
  187. Tue Aug 25 18:51:13 2026 removing 7219061 relations and 5219061 ideals in 2000000 cliques
  188. Tue Aug 25 18:51:18 2026 commencing in-memory singleton removal
  189. Tue Aug 25 18:51:20 2026 begin with 186996055 relations and 166177414 unique ideals
  190. Tue Aug 25 18:51:25 2026 reduce to 186788917 relations and 160749042 ideals in 7 passes
  191. Tue Aug 25 18:51:25 2026 max relations containing the same ideal: 90
  192. Tue Aug 25 18:52:13 2026 removing 7238406 relations and 5238406 ideals in 2000000 cliques
  193. Tue Aug 25 18:52:18 2026 commencing in-memory singleton removal
  194. Tue Aug 25 18:52:20 2026 begin with 179550511 relations and 160749042 unique ideals
  195. Tue Aug 25 18:52:24 2026 reduce to 179337530 relations and 155295421 ideals in 6 passes
  196. Tue Aug 25 18:52:24 2026 max relations containing the same ideal: 89
  197. Tue Aug 25 18:53:11 2026 removing 7258776 relations and 5258776 ideals in 2000000 cliques
  198. Tue Aug 25 18:53:16 2026 commencing in-memory singleton removal
  199. Tue Aug 25 18:53:17 2026 begin with 172078754 relations and 155295421 unique ideals
  200. Tue Aug 25 18:53:22 2026 reduce to 171856230 relations and 149811720 ideals in 7 passes
  201. Tue Aug 25 18:53:22 2026 max relations containing the same ideal: 85
  202. Tue Aug 25 18:54:07 2026 removing 7284874 relations and 5284874 ideals in 2000000 cliques
  203. Tue Aug 25 18:54:12 2026 commencing in-memory singleton removal
  204. Tue Aug 25 18:54:13 2026 begin with 164571356 relations and 149811720 unique ideals
  205. Tue Aug 25 18:54:18 2026 reduce to 164338621 relations and 144291559 ideals in 7 passes
  206. Tue Aug 25 18:54:18 2026 max relations containing the same ideal: 85
  207. Tue Aug 25 18:55:01 2026 removing 7309701 relations and 5309701 ideals in 2000000 cliques
  208. Tue Aug 25 18:55:06 2026 commencing in-memory singleton removal
  209. Tue Aug 25 18:55:07 2026 begin with 157028920 relations and 144291559 unique ideals
  210. Tue Aug 25 18:55:12 2026 reduce to 156785530 relations and 138735622 ideals in 7 passes
  211. Tue Aug 25 18:55:12 2026 max relations containing the same ideal: 81
  212. Tue Aug 25 18:55:53 2026 removing 7341171 relations and 5341171 ideals in 2000000 cliques
  213. Tue Aug 25 18:55:58 2026 commencing in-memory singleton removal
  214. Tue Aug 25 18:55:59 2026 begin with 149444359 relations and 138735622 unique ideals
  215. Tue Aug 25 18:56:03 2026 reduce to 149190603 relations and 133137679 ideals in 6 passes
  216. Tue Aug 25 18:56:03 2026 max relations containing the same ideal: 79
  217. Tue Aug 25 18:56:42 2026 removing 7378813 relations and 5378813 ideals in 2000000 cliques
  218. Tue Aug 25 18:56:47 2026 commencing in-memory singleton removal
  219. Tue Aug 25 18:56:48 2026 begin with 141811790 relations and 133137679 unique ideals
  220. Tue Aug 25 18:56:52 2026 reduce to 141544625 relations and 127488382 ideals in 7 passes
  221. Tue Aug 25 18:56:52 2026 max relations containing the same ideal: 77
  222. Tue Aug 25 18:57:30 2026 removing 7419341 relations and 5419341 ideals in 2000000 cliques
  223. Tue Aug 25 18:57:35 2026 commencing in-memory singleton removal
  224. Tue Aug 25 18:57:36 2026 begin with 134125284 relations and 127488382 unique ideals
  225. Tue Aug 25 18:57:39 2026 reduce to 133843206 relations and 121783341 ideals in 7 passes
  226. Tue Aug 25 18:57:39 2026 max relations containing the same ideal: 75
  227. Tue Aug 25 18:58:16 2026 removing 7462793 relations and 5462793 ideals in 2000000 cliques
  228. Tue Aug 25 18:58:20 2026 commencing in-memory singleton removal
  229. Tue Aug 25 18:58:21 2026 begin with 126380413 relations and 121783341 unique ideals
  230. Tue Aug 25 18:58:24 2026 reduce to 126078726 relations and 116014951 ideals in 6 passes
  231. Tue Aug 25 18:58:24 2026 max relations containing the same ideal: 70
  232. Tue Aug 25 18:58:59 2026 removing 7516997 relations and 5516997 ideals in 2000000 cliques
  233. Tue Aug 25 18:59:03 2026 commencing in-memory singleton removal
  234. Tue Aug 25 18:59:04 2026 begin with 118561729 relations and 116014951 unique ideals
  235. Tue Aug 25 18:59:07 2026 reduce to 118239078 relations and 110170825 ideals in 7 passes
  236. Tue Aug 25 18:59:07 2026 max relations containing the same ideal: 68
  237. Tue Aug 25 18:59:40 2026 removing 7574355 relations and 5574355 ideals in 2000000 cliques
  238. Tue Aug 25 18:59:44 2026 commencing in-memory singleton removal
  239. Tue Aug 25 18:59:45 2026 begin with 110664723 relations and 110170825 unique ideals
  240. Tue Aug 25 18:59:48 2026 reduce to 110313380 relations and 104240150 ideals in 7 passes
  241. Tue Aug 25 18:59:48 2026 max relations containing the same ideal: 65
  242. Tue Aug 25 19:00:18 2026 removing 7516833 relations and 5557469 ideals in 1959364 cliques
  243. Tue Aug 25 19:00:22 2026 commencing in-memory singleton removal
  244. Tue Aug 25 19:00:23 2026 begin with 102796547 relations and 104240150 unique ideals
  245. Tue Aug 25 19:00:25 2026 reduce to 102425020 relations and 98305475 ideals in 7 passes
  246. Tue Aug 25 19:00:25 2026 max relations containing the same ideal: 62
  247. Tue Aug 25 19:01:07 2026 relations with 0 large ideals: 134631
  248. Tue Aug 25 19:01:07 2026 relations with 1 large ideals: 135140
  249. Tue Aug 25 19:01:07 2026 relations with 2 large ideals: 1477750
  250. Tue Aug 25 19:01:07 2026 relations with 3 large ideals: 7056431
  251. Tue Aug 25 19:01:07 2026 relations with 4 large ideals: 17979377
  252. Tue Aug 25 19:01:07 2026 relations with 5 large ideals: 27093563
  253. Tue Aug 25 19:01:07 2026 relations with 6 large ideals: 25421857
  254. Tue Aug 25 19:01:07 2026 relations with 7+ large ideals: 23126271
  255. Tue Aug 25 19:01:07 2026 commencing 2-way merge
  256. Tue Aug 25 19:01:50 2026 reduce to 65543429 relation sets and 61423884 unique ideals
  257. Tue Aug 25 19:01:50 2026 commencing full merge
  258. Tue Aug 25 19:17:56 2026 memory use: 7637.4 MB
  259. Tue Aug 25 19:18:01 2026 found 30918352 cycles, need 30412084
  260. Tue Aug 25 19:18:12 2026 weight of 30412084 cycles is about 3345950080 (110.02/cycle)
  261. Tue Aug 25 19:18:12 2026 distribution of cycle lengths:
  262. Tue Aug 25 19:18:12 2026 1 relations: 1727464
  263. Tue Aug 25 19:18:12 2026 2 relations: 2187915
  264. Tue Aug 25 19:18:12 2026 3 relations: 2462245
  265. Tue Aug 25 19:18:12 2026 4 relations: 2483924
  266. Tue Aug 25 19:18:12 2026 5 relations: 2498977
  267. Tue Aug 25 19:18:12 2026 6 relations: 2457328
  268. Tue Aug 25 19:18:12 2026 7 relations: 2353926
  269. Tue Aug 25 19:18:12 2026 8 relations: 2223295
  270. Tue Aug 25 19:18:12 2026 9 relations: 2049318
  271. Tue Aug 25 19:18:12 2026 10+ relations: 9967692
  272. Tue Aug 25 19:18:12 2026 heaviest cycle: 26 relations
  273. Tue Aug 25 19:18:23 2026 commencing cycle optimization
  274. Tue Aug 25 19:19:17 2026 start with 235744716 relations
  275. Tue Aug 25 19:25:39 2026 pruned 8983693 relations
  276. Tue Aug 25 19:25:39 2026 memory use: 6640.2 MB
  277. Tue Aug 25 19:25:40 2026 distribution of cycle lengths:
  278. Tue Aug 25 19:25:40 2026 1 relations: 1727464
  279. Tue Aug 25 19:25:40 2026 2 relations: 2239227
  280. Tue Aug 25 19:25:40 2026 3 relations: 2562284
  281. Tue Aug 25 19:25:40 2026 4 relations: 2579319
  282. Tue Aug 25 19:25:40 2026 5 relations: 2614592
  283. Tue Aug 25 19:25:40 2026 6 relations: 2560024
  284. Tue Aug 25 19:25:40 2026 7 relations: 2459331
  285. Tue Aug 25 19:25:40 2026 8 relations: 2308269
  286. Tue Aug 25 19:25:40 2026 9 relations: 2118004
  287. Tue Aug 25 19:25:40 2026 10+ relations: 9243570
  288. Tue Aug 25 19:25:40 2026 heaviest cycle: 26 relations
  289. Tue Aug 25 19:26:33 2026 RelProcTime: 7589
  290. Tue Aug 25 19:26:33 2026 elapsed time 02:06:30
  291. Tue Aug 25 19:26:34 2026
  292. Tue Aug 25 19:26:34 2026
  293. Tue Aug 25 19:26:34 2026 Msieve v. 1.54 (SVN Unversioned directory)
  294. Tue Aug 25 19:26:34 2026 random seeds: 622024f6 6b0e7428
  295. Tue Aug 25 19:26:34 2026 MPI process 0 of 1
  296. Tue Aug 25 19:26:34 2026 Using 46 OpenMP threads
  297. Tue Aug 25 19:26:34 2026 factoring 2363462201328188218057911737238798556916591618037221455308004642575128742991000385106844906639933730734277684171125875561671744187122133942638863171799193116793278663895312660705426264312627603774103486343739883573 (214 digits)
  298. Tue Aug 25 19:26:35 2026 no P-1/P+1/ECM available, skipping
  299. Tue Aug 25 19:26:35 2026 commencing number field sieve (214-digit input)
  300. Tue Aug 25 19:26:35 2026 R0: 72890483685103052142902866787761839379440139451
  301. Tue Aug 25 19:26:35 2026 R1: -103945637534048876111514866313854976
  302. Tue Aug 25 19:26:35 2026 A0: 11
  303. Tue Aug 25 19:26:35 2026 A1: 0
  304. Tue Aug 25 19:26:35 2026 A2: 0
  305. Tue Aug 25 19:26:35 2026 A3: 0
  306. Tue Aug 25 19:26:35 2026 A4: 0
  307. Tue Aug 25 19:26:35 2026 A5: 0
  308. Tue Aug 25 19:26:35 2026 A6: 6
  309. Tue Aug 25 19:26:35 2026 skew 1.11, size 6.853e-14, alpha 0.966, combined = 1.515e-14 rroots = 0
  310. Tue Aug 25 19:26:35 2026
  311. Tue Aug 25 19:26:35 2026 commencing linear algebra
  312. Tue Aug 25 19:26:35 2026 using VBITS=128
  313. Tue Aug 25 19:26:35 2026 stopping after matrix build
  314. Tue Aug 25 19:26:35 2026 initialized process (0,0) of 1 x 1 grid
  315. Tue Aug 25 19:26:39 2026 read 30412084 cycles
  316. Tue Aug 25 19:27:47 2026 cycles contain 100215403 unique relations
  317. Tue Aug 25 19:28:57 2026 read 100215403 relations
  318. Tue Aug 25 19:29:05 2026 using 20 quadratic characters above 4294917295
  319. Tue Aug 25 19:29:18 2026 building initial matrix
  320. Tue Aug 25 19:49:52 2026 memory use: 13167.3 MB
  321. Tue Aug 25 19:50:19 2026 read 30412084 cycles
  322. Tue Aug 25 19:50:23 2026 matrix is 30411906 x 30412084 (13422.6 MB) with weight 3872687136 (127.34/col)
  323. Tue Aug 25 19:50:23 2026 sparse part has weight 3184119980 (104.70/col)
  324. Tue Aug 25 19:55:58 2026 filtering completed in 2 passes
  325. Tue Aug 25 19:56:02 2026 matrix is 30408282 x 30408459 (13422.2 MB) with weight 3872550402 (127.35/col)
  326. Tue Aug 25 19:56:02 2026 sparse part has weight 3184063639 (104.71/col)
  327. Tue Aug 25 19:57:17 2026 BLanczosTime: 1842
  328. Tue Aug 25 19:57:17 2026 elapsed time 00:30:43
  329. Tue Aug 25 21:51:53 2026
  330. Tue Aug 25 21:51:53 2026
  331. Tue Aug 25 21:51:53 2026 Msieve v. 1.54 (SVN Unversioned directory)
  332. Tue Aug 25 21:51:53 2026 random seeds: a1477269 403a5285
  333. Tue Aug 25 21:51:53 2026 MPI process 0 of 2
  334. Tue Aug 25 21:51:53 2026 Using 6 OpenMP threads
  335. Tue Aug 25 21:51:53 2026 factoring 2363462201328188218057911737238798556916591618037221455308004642575128742991000385106844906639933730734277684171125875561671744187122133942638863171799193116793278663895312660705426264312627603774103486343739883573 (214 digits)
  336. Tue Aug 25 21:51:53 2026 no P-1/P+1/ECM available, skipping
  337. Tue Aug 25 21:51:53 2026 commencing number field sieve (214-digit input)
  338. Tue Aug 25 21:51:53 2026 R0: 72890483685103052142902866787761839379440139451
  339. Tue Aug 25 21:51:53 2026 R1: -103945637534048876111514866313854976
  340. Tue Aug 25 21:51:53 2026 A0: 11
  341. Tue Aug 25 21:51:53 2026 A1: 0
  342. Tue Aug 25 21:51:53 2026 A2: 0
  343. Tue Aug 25 21:51:53 2026 A3: 0
  344. Tue Aug 25 21:51:53 2026 A4: 0
  345. Tue Aug 25 21:51:53 2026 A5: 0
  346. Tue Aug 25 21:51:53 2026 A6: 6
  347. Tue Aug 25 21:51:53 2026 skew 1.11, size 6.853e-14, alpha 0.966, combined = 1.515e-14 rroots = 0
  348. Tue Aug 25 21:51:53 2026
  349. Tue Aug 25 21:51:53 2026 commencing linear algebra
  350. Tue Aug 25 21:51:53 2026 using VBITS=256
  351. Tue Aug 25 21:51:53 2026 skipping matrix build
  352. Tue Aug 25 21:51:53 2026 initialized process (0,0) of 1 x 2 grid
  353. Tue Aug 25 21:52:01 2026 matrix starts at (0, 0)
  354. Tue Aug 25 21:52:03 2026 matrix is 30408282 x 15204259 (6711.1 MB) with weight 1936277305 (127.35/col)
  355. Tue Aug 25 21:52:03 2026 sparse part has weight 1592031935 (104.71/col)
  356. Tue Aug 25 21:52:03 2026 saving the first 240 matrix rows for later
  357. Tue Aug 25 21:52:07 2026 matrix includes 256 packed rows
  358. Tue Aug 25 21:52:10 2026 matrix is 30408042 x 15204259 (6235.7 MB) with weight 1460586427 (96.06/col)
  359. Tue Aug 25 21:52:10 2026 sparse part has weight 1391390795 (91.51/col)
  360. Tue Aug 25 21:52:10 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  361. Tue Aug 25 21:52:10 2026 selected card has CUDA arch 8.0
  362. Tue Aug 25 21:53:50 2026 commencing Lanczos iteration
  363. Tue Aug 25 21:53:51 2026 memory use: 15893.4 MB
  364. Tue Aug 25 21:54:21 2026 linear algebra at 0.1%, ETA 7h59m
  365. Tue Aug 25 21:55:05 2026 checking every 60000 dimensions, checkpointing every 3840000 dimensions
  366. Wed Aug 26 05:55:56 2026 lanczos halted after 119139 iterations (dim = 30408039)
  367. Wed Aug 26 05:58:13 2026 recovered 37 nontrivial dependencies
  368. Wed Aug 26 05:58:14 2026 BLanczosTime: 29181
  369. Wed Aug 26 05:58:14 2026 elapsed time 08:06:21
  370. Wed Aug 26 05:58:15 2026
  371. Wed Aug 26 05:58:15 2026
  372. Wed Aug 26 05:58:15 2026 Msieve v. 1.54 (SVN Unversioned directory)
  373. Wed Aug 26 05:58:15 2026 random seeds: a9ed6c44 4b2f4499
  374. Wed Aug 26 05:58:15 2026 MPI process 0 of 1
  375. Wed Aug 26 05:58:15 2026 Using 32 OpenMP threads
  376. Wed Aug 26 05:58:15 2026 factoring 2363462201328188218057911737238798556916591618037221455308004642575128742991000385106844906639933730734277684171125875561671744187122133942638863171799193116793278663895312660705426264312627603774103486343739883573 (214 digits)
  377. Wed Aug 26 05:58:16 2026 no P-1/P+1/ECM available, skipping
  378. Wed Aug 26 05:58:16 2026 commencing number field sieve (214-digit input)
  379. Wed Aug 26 05:58:16 2026 R0: 72890483685103052142902866787761839379440139451
  380. Wed Aug 26 05:58:16 2026 R1: -103945637534048876111514866313854976
  381. Wed Aug 26 05:58:16 2026 A0: 11
  382. Wed Aug 26 05:58:16 2026 A1: 0
  383. Wed Aug 26 05:58:16 2026 A2: 0
  384. Wed Aug 26 05:58:16 2026 A3: 0
  385. Wed Aug 26 05:58:16 2026 A4: 0
  386. Wed Aug 26 05:58:16 2026 A5: 0
  387. Wed Aug 26 05:58:16 2026 A6: 6
  388. Wed Aug 26 05:58:16 2026 skew 1.11, size 6.853e-14, alpha 0.966, combined = 1.515e-14 rroots = 0
  389. Wed Aug 26 05:58:16 2026
  390. Wed Aug 26 05:58:16 2026 commencing square root phase
  391. Wed Aug 26 05:58:16 2026 reading relations for dependency 1
  392. Wed Aug 26 05:58:20 2026 read 15207254 cycles
  393. Wed Aug 26 05:58:50 2026 cycles contain 50115078 unique relations
  394. Wed Aug 26 06:00:22 2026 read 50115078 relations
  395. Wed Aug 26 06:03:32 2026 multiplying 50115078 relations
  396. Wed Aug 26 06:06:41 2026 multiply complete, coefficients have about 1475.23 million bits
  397. Wed Aug 26 06:06:46 2026 initial square root is modulo 4144681
  398. Wed Aug 26 06:16:35 2026 sqrtTime: 1099
  399. Wed Aug 26 06:16:35 2026 p90 factor: 194549743857550524853619780975050896624445587781716303490979586147560864686858898150599433
  400. Wed Aug 26 06:16:35 2026 p125 factor: 12148369637837802021739631683978400677579059633513112638005194493609891489388334846738657504411966079270279884483219591461581
  401. Wed Aug 26 06:16:35 2026 elapsed time 00:18:20
  402.  
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