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  1. Tue Nov 18 15:08:09 2025 Msieve v. 1.54 (SVN 573b9ef)
  2. Tue Nov 18 15:08:09 2025 random seeds: c92da425 b55bf35d
  3. Tue Nov 18 15:08:09 2025 Using 32 OpenMP threads
  4. Tue Nov 18 15:08:09 2025 factoring 725527392887847786865241787807469500729499143452793778735231968629052677335138937380302174316081084388023190004449573853446670479524543496487571273662365792455047551812377045661097892853719296624572633841741616732623880691882755854507071 (237 digits)
  5. Tue Nov 18 15:08:10 2025 no P-1/P+1/ECM available, skipping
  6. Tue Nov 18 15:08:10 2025 commencing number field sieve (237-digit input)
  7. Tue Nov 18 15:08:10 2025 R0: 98079714615416886934934210119140212228545135448400438073
  8. Tue Nov 18 15:08:10 2025 R1: -6117141027690268863066571918245810640257024
  9. Tue Nov 18 15:08:10 2025 A0: -1
  10. Tue Nov 18 15:08:10 2025 A1: 3
  11. Tue Nov 18 15:08:10 2025 A2: 3
  12. Tue Nov 18 15:08:10 2025 A3: -4
  13. Tue Nov 18 15:08:10 2025 A4: -1
  14. Tue Nov 18 15:08:10 2025 A5: 1
  15. Tue Nov 18 15:08:10 2025 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  16. Tue Nov 18 15:08:10 2025
  17. Tue Nov 18 15:08:10 2025 commencing relation filtering
  18. Tue Nov 18 15:08:10 2025 setting target matrix density to 110.0
  19. Tue Nov 18 15:08:10 2025 estimated available RAM is 128740.1 MB
  20. Tue Nov 18 15:08:10 2025 commencing duplicate removal, pass 1
  21. Tue Nov 18 15:08:56 2025 error -11 reading relation 83619398
  22. Tue Nov 18 15:08:56 2025 error -6 reading relation 83772045
  23. Tue Nov 18 15:11:01 2025 error -11 reading relation 315846122
  24. Tue Nov 18 15:11:47 2025 error -6 reading relation 402974249
  25. Tue Nov 18 15:12:03 2025 error -11 reading relation 431480528
  26. Tue Nov 18 15:12:12 2025 error -11 reading relation 445759281
  27. Tue Nov 18 15:12:32 2025 skipped 58787 relations with b > 2^32
  28. Tue Nov 18 15:12:32 2025 skipped 2 malformed relations
  29. Tue Nov 18 15:12:32 2025 found 25364283 hash collisions in 484279987 relations
  30. Tue Nov 18 15:12:36 2025 added 2926300 free relations
  31. Tue Nov 18 15:12:36 2025 commencing duplicate removal, pass 2
  32. Tue Nov 18 15:13:53 2025 found 0 duplicates and 487206287 unique relations
  33. Tue Nov 18 15:13:53 2025 memory use: 1577.5 MB
  34. Tue Nov 18 15:13:53 2025 reading ideals above 720000
  35. Tue Nov 18 15:13:53 2025 commencing singleton removal, initial pass
  36. Tue Nov 18 15:28:36 2025 memory use: 11024.0 MB
  37. Tue Nov 18 15:28:36 2025 reading all ideals from disk
  38. Tue Nov 18 15:28:39 2025 memory use: 25229.4 MB
  39. Tue Nov 18 15:29:01 2025 keeping 400862870 ideals with weight <= 200, target excess is 2611190
  40. Tue Nov 18 15:29:30 2025 commencing in-memory singleton removal
  41. Tue Nov 18 15:29:38 2025 begin with 487206287 relations and 400862870 unique ideals
  42. Tue Nov 18 15:30:27 2025 reduce to 417410759 relations and 328851845 ideals in 13 passes
  43. Tue Nov 18 15:30:27 2025 max relations containing the same ideal: 190
  44. Tue Nov 18 15:31:31 2025 removing 13238378 relations and 11238378 ideals in 2000000 cliques
  45. Tue Nov 18 15:31:37 2025 commencing in-memory singleton removal
  46. Tue Nov 18 15:31:44 2025 begin with 404172381 relations and 328851845 unique ideals
  47. Tue Nov 18 15:32:08 2025 reduce to 403848325 relations and 317287173 ideals in 7 passes
  48. Tue Nov 18 15:32:08 2025 max relations containing the same ideal: 187
  49. Tue Nov 18 15:33:11 2025 removing 10060517 relations and 8060517 ideals in 2000000 cliques
  50. Tue Nov 18 15:33:16 2025 commencing in-memory singleton removal
  51. Tue Nov 18 15:33:23 2025 begin with 393787808 relations and 317287173 unique ideals
  52. Tue Nov 18 15:33:46 2025 reduce to 393581205 relations and 309018897 ideals in 7 passes
  53. Tue Nov 18 15:33:46 2025 max relations containing the same ideal: 184
  54. Tue Nov 18 15:34:47 2025 removing 9047190 relations and 7047190 ideals in 2000000 cliques
  55. Tue Nov 18 15:34:52 2025 commencing in-memory singleton removal
  56. Tue Nov 18 15:34:58 2025 begin with 384534015 relations and 309018897 unique ideals
  57. Tue Nov 18 15:35:21 2025 reduce to 384358122 relations and 301794859 ideals in 7 passes
  58. Tue Nov 18 15:35:21 2025 max relations containing the same ideal: 182
  59. Tue Nov 18 15:36:21 2025 removing 8468130 relations and 6468130 ideals in 2000000 cliques
  60. Tue Nov 18 15:36:26 2025 commencing in-memory singleton removal
  61. Tue Nov 18 15:36:32 2025 begin with 375889992 relations and 301794859 unique ideals
  62. Tue Nov 18 15:36:52 2025 reduce to 375730578 relations and 295166484 ideals in 6 passes
  63. Tue Nov 18 15:36:52 2025 max relations containing the same ideal: 182
  64. Tue Nov 18 15:37:50 2025 removing 8076822 relations and 6076822 ideals in 2000000 cliques
  65. Tue Nov 18 15:37:55 2025 commencing in-memory singleton removal
  66. Tue Nov 18 15:38:01 2025 begin with 367653756 relations and 295166484 unique ideals
  67. Tue Nov 18 15:38:23 2025 reduce to 367505000 relations and 288940121 ideals in 7 passes
  68. Tue Nov 18 15:38:23 2025 max relations containing the same ideal: 178
  69. Tue Nov 18 15:39:19 2025 removing 7795491 relations and 5795491 ideals in 2000000 cliques
  70. Tue Nov 18 15:39:24 2025 commencing in-memory singleton removal
  71. Tue Nov 18 15:39:30 2025 begin with 359709509 relations and 288940121 unique ideals
  72. Tue Nov 18 15:39:48 2025 reduce to 359567334 relations and 283001648 ideals in 6 passes
  73. Tue Nov 18 15:39:48 2025 max relations containing the same ideal: 177
  74. Tue Nov 18 15:40:45 2025 removing 7574909 relations and 5574909 ideals in 2000000 cliques
  75. Tue Nov 18 15:40:49 2025 commencing in-memory singleton removal
  76. Tue Nov 18 15:40:55 2025 begin with 351992425 relations and 283001648 unique ideals
  77. Tue Nov 18 15:41:13 2025 reduce to 351854952 relations and 277288514 ideals in 6 passes
  78. Tue Nov 18 15:41:13 2025 max relations containing the same ideal: 175
  79. Tue Nov 18 15:42:09 2025 removing 7407461 relations and 5407461 ideals in 2000000 cliques
  80. Tue Nov 18 15:42:13 2025 commencing in-memory singleton removal
  81. Tue Nov 18 15:42:19 2025 begin with 344447491 relations and 277288514 unique ideals
  82. Tue Nov 18 15:42:39 2025 reduce to 344312589 relations and 271745403 ideals in 7 passes
  83. Tue Nov 18 15:42:39 2025 max relations containing the same ideal: 172
  84. Tue Nov 18 15:43:34 2025 removing 7268461 relations and 5268461 ideals in 2000000 cliques
  85. Tue Nov 18 15:43:38 2025 commencing in-memory singleton removal
  86. Tue Nov 18 15:43:44 2025 begin with 337044128 relations and 271745403 unique ideals
  87. Tue Nov 18 15:44:01 2025 reduce to 336911068 relations and 266343077 ideals in 6 passes
  88. Tue Nov 18 15:44:01 2025 max relations containing the same ideal: 171
  89. Tue Nov 18 15:44:54 2025 removing 7156505 relations and 5156505 ideals in 2000000 cliques
  90. Tue Nov 18 15:44:58 2025 commencing in-memory singleton removal
  91. Tue Nov 18 15:45:04 2025 begin with 329754563 relations and 266343077 unique ideals
  92. Tue Nov 18 15:45:21 2025 reduce to 329623559 relations and 261054764 ideals in 6 passes
  93. Tue Nov 18 15:45:21 2025 max relations containing the same ideal: 168
  94. Tue Nov 18 15:46:13 2025 removing 7065099 relations and 5065099 ideals in 2000000 cliques
  95. Tue Nov 18 15:46:17 2025 commencing in-memory singleton removal
  96. Tue Nov 18 15:46:23 2025 begin with 322558460 relations and 261054764 unique ideals
  97. Tue Nov 18 15:46:39 2025 reduce to 322428444 relations and 255858879 ideals in 6 passes
  98. Tue Nov 18 15:46:39 2025 max relations containing the same ideal: 164
  99. Tue Nov 18 15:47:30 2025 removing 6987173 relations and 4987173 ideals in 2000000 cliques
  100. Tue Nov 18 15:47:34 2025 commencing in-memory singleton removal
  101. Tue Nov 18 15:47:40 2025 begin with 315441271 relations and 255858879 unique ideals
  102. Tue Nov 18 15:47:56 2025 reduce to 315311290 relations and 250740965 ideals in 6 passes
  103. Tue Nov 18 15:47:56 2025 max relations containing the same ideal: 161
  104. Tue Nov 18 15:48:46 2025 removing 6921960 relations and 4921960 ideals in 2000000 cliques
  105. Tue Nov 18 15:48:50 2025 commencing in-memory singleton removal
  106. Tue Nov 18 15:48:55 2025 begin with 308389330 relations and 250740965 unique ideals
  107. Tue Nov 18 15:49:11 2025 reduce to 308259334 relations and 245688172 ideals in 6 passes
  108. Tue Nov 18 15:49:11 2025 max relations containing the same ideal: 159
  109. Tue Nov 18 15:50:00 2025 removing 6865261 relations and 4865261 ideals in 2000000 cliques
  110. Tue Nov 18 15:50:04 2025 commencing in-memory singleton removal
  111. Tue Nov 18 15:50:09 2025 begin with 301394073 relations and 245688172 unique ideals
  112. Tue Nov 18 15:50:25 2025 reduce to 301263515 relations and 240691492 ideals in 6 passes
  113. Tue Nov 18 15:50:25 2025 max relations containing the same ideal: 156
  114. Tue Nov 18 15:51:12 2025 removing 6820176 relations and 4820176 ideals in 2000000 cliques
  115. Tue Nov 18 15:51:16 2025 commencing in-memory singleton removal
  116. Tue Nov 18 15:51:21 2025 begin with 294443339 relations and 240691492 unique ideals
  117. Tue Nov 18 15:51:36 2025 reduce to 294311371 relations and 235738456 ideals in 6 passes
  118. Tue Nov 18 15:51:36 2025 max relations containing the same ideal: 155
  119. Tue Nov 18 15:52:23 2025 removing 6781769 relations and 4781769 ideals in 2000000 cliques
  120. Tue Nov 18 15:52:27 2025 commencing in-memory singleton removal
  121. Tue Nov 18 15:52:32 2025 begin with 287529602 relations and 235738456 unique ideals
  122. Tue Nov 18 15:52:46 2025 reduce to 287396985 relations and 230823151 ideals in 6 passes
  123. Tue Nov 18 15:52:46 2025 max relations containing the same ideal: 154
  124. Tue Nov 18 15:53:32 2025 removing 6750941 relations and 4750941 ideals in 2000000 cliques
  125. Tue Nov 18 15:53:36 2025 commencing in-memory singleton removal
  126. Tue Nov 18 15:53:41 2025 begin with 280646044 relations and 230823151 unique ideals
  127. Tue Nov 18 15:53:55 2025 reduce to 280511435 relations and 225936593 ideals in 6 passes
  128. Tue Nov 18 15:53:55 2025 max relations containing the same ideal: 151
  129. Tue Nov 18 15:54:40 2025 removing 6724375 relations and 4724375 ideals in 2000000 cliques
  130. Tue Nov 18 15:54:44 2025 commencing in-memory singleton removal
  131. Tue Nov 18 15:54:48 2025 begin with 273787060 relations and 225936593 unique ideals
  132. Tue Nov 18 15:55:02 2025 reduce to 273649633 relations and 221073793 ideals in 6 passes
  133. Tue Nov 18 15:55:02 2025 max relations containing the same ideal: 148
  134. Tue Nov 18 15:55:47 2025 removing 6706618 relations and 4706618 ideals in 2000000 cliques
  135. Tue Nov 18 15:55:50 2025 commencing in-memory singleton removal
  136. Tue Nov 18 15:55:55 2025 begin with 266943015 relations and 221073793 unique ideals
  137. Tue Nov 18 15:56:08 2025 reduce to 266803780 relations and 216226890 ideals in 6 passes
  138. Tue Nov 18 15:56:08 2025 max relations containing the same ideal: 147
  139. Tue Nov 18 15:56:51 2025 removing 6690389 relations and 4690389 ideals in 2000000 cliques
  140. Tue Nov 18 15:56:55 2025 commencing in-memory singleton removal
  141. Tue Nov 18 15:56:59 2025 begin with 260113391 relations and 216226890 unique ideals
  142. Tue Nov 18 15:57:12 2025 reduce to 259971026 relations and 211393035 ideals in 6 passes
  143. Tue Nov 18 15:57:12 2025 max relations containing the same ideal: 145
  144. Tue Nov 18 15:57:54 2025 removing 6682541 relations and 4682541 ideals in 2000000 cliques
  145. Tue Nov 18 15:57:58 2025 commencing in-memory singleton removal
  146. Tue Nov 18 15:58:02 2025 begin with 253288485 relations and 211393035 unique ideals
  147. Tue Nov 18 15:58:17 2025 reduce to 253143979 relations and 206564763 ideals in 7 passes
  148. Tue Nov 18 15:58:17 2025 max relations containing the same ideal: 141
  149. Tue Nov 18 15:58:58 2025 removing 6674994 relations and 4674994 ideals in 2000000 cliques
  150. Tue Nov 18 15:59:02 2025 commencing in-memory singleton removal
  151. Tue Nov 18 15:59:06 2025 begin with 246468985 relations and 206564763 unique ideals
  152. Tue Nov 18 15:59:18 2025 reduce to 246320133 relations and 201739685 ideals in 6 passes
  153. Tue Nov 18 15:59:18 2025 max relations containing the same ideal: 141
  154. Tue Nov 18 15:59:59 2025 removing 6671954 relations and 4671954 ideals in 2000000 cliques
  155. Tue Nov 18 16:00:03 2025 commencing in-memory singleton removal
  156. Tue Nov 18 16:00:07 2025 begin with 239648179 relations and 201739685 unique ideals
  157. Tue Nov 18 16:00:19 2025 reduce to 239496078 relations and 196914354 ideals in 6 passes
  158. Tue Nov 18 16:00:19 2025 max relations containing the same ideal: 137
  159. Tue Nov 18 16:00:58 2025 removing 6678914 relations and 4678914 ideals in 2000000 cliques
  160. Tue Nov 18 16:01:01 2025 commencing in-memory singleton removal
  161. Tue Nov 18 16:01:05 2025 begin with 232817164 relations and 196914354 unique ideals
  162. Tue Nov 18 16:01:17 2025 reduce to 232660870 relations and 192077765 ideals in 6 passes
  163. Tue Nov 18 16:01:17 2025 max relations containing the same ideal: 135
  164. Tue Nov 18 16:01:56 2025 removing 6681537 relations and 4681537 ideals in 2000000 cliques
  165. Tue Nov 18 16:01:59 2025 commencing in-memory singleton removal
  166. Tue Nov 18 16:02:03 2025 begin with 225979333 relations and 192077765 unique ideals
  167. Tue Nov 18 16:02:16 2025 reduce to 225818673 relations and 187234072 ideals in 7 passes
  168. Tue Nov 18 16:02:16 2025 max relations containing the same ideal: 132
  169. Tue Nov 18 16:02:53 2025 removing 6696110 relations and 4696110 ideals in 2000000 cliques
  170. Tue Nov 18 16:02:56 2025 commencing in-memory singleton removal
  171. Tue Nov 18 16:03:00 2025 begin with 219122563 relations and 187234072 unique ideals
  172. Tue Nov 18 16:03:11 2025 reduce to 218957290 relations and 182371123 ideals in 6 passes
  173. Tue Nov 18 16:03:11 2025 max relations containing the same ideal: 129
  174. Tue Nov 18 16:03:48 2025 removing 6710744 relations and 4710744 ideals in 2000000 cliques
  175. Tue Nov 18 16:03:51 2025 commencing in-memory singleton removal
  176. Tue Nov 18 16:03:54 2025 begin with 212246546 relations and 182371123 unique ideals
  177. Tue Nov 18 16:04:05 2025 reduce to 212075202 relations and 177487380 ideals in 6 passes
  178. Tue Nov 18 16:04:05 2025 max relations containing the same ideal: 128
  179. Tue Nov 18 16:04:41 2025 removing 6728108 relations and 4728108 ideals in 2000000 cliques
  180. Tue Nov 18 16:04:44 2025 commencing in-memory singleton removal
  181. Tue Nov 18 16:04:47 2025 begin with 205347094 relations and 177487380 unique ideals
  182. Tue Nov 18 16:04:57 2025 reduce to 205169221 relations and 172579652 ideals in 6 passes
  183. Tue Nov 18 16:04:57 2025 max relations containing the same ideal: 124
  184. Tue Nov 18 16:05:32 2025 removing 6753675 relations and 4753675 ideals in 2000000 cliques
  185. Tue Nov 18 16:05:35 2025 commencing in-memory singleton removal
  186. Tue Nov 18 16:05:38 2025 begin with 198415546 relations and 172579652 unique ideals
  187. Tue Nov 18 16:05:48 2025 reduce to 198230219 relations and 167638691 ideals in 6 passes
  188. Tue Nov 18 16:05:48 2025 max relations containing the same ideal: 123
  189. Tue Nov 18 16:06:22 2025 removing 6780924 relations and 4780924 ideals in 2000000 cliques
  190. Tue Nov 18 16:06:25 2025 commencing in-memory singleton removal
  191. Tue Nov 18 16:06:28 2025 begin with 191449295 relations and 167638691 unique ideals
  192. Tue Nov 18 16:06:38 2025 reduce to 191256398 relations and 162662836 ideals in 6 passes
  193. Tue Nov 18 16:06:38 2025 max relations containing the same ideal: 119
  194. Tue Nov 18 16:07:11 2025 removing 6814489 relations and 4814489 ideals in 2000000 cliques
  195. Tue Nov 18 16:07:15 2025 commencing in-memory singleton removal
  196. Tue Nov 18 16:07:17 2025 begin with 184441909 relations and 162662836 unique ideals
  197. Tue Nov 18 16:07:28 2025 reduce to 184241302 relations and 157645509 ideals in 7 passes
  198. Tue Nov 18 16:07:28 2025 max relations containing the same ideal: 116
  199. Tue Nov 18 16:08:00 2025 removing 6854294 relations and 4854294 ideals in 2000000 cliques
  200. Tue Nov 18 16:08:03 2025 commencing in-memory singleton removal
  201. Tue Nov 18 16:08:06 2025 begin with 177387008 relations and 157645509 unique ideals
  202. Tue Nov 18 16:08:16 2025 reduce to 177177024 relations and 152578893 ideals in 7 passes
  203. Tue Nov 18 16:08:16 2025 max relations containing the same ideal: 113
  204. Tue Nov 18 16:08:47 2025 removing 6902355 relations and 4902355 ideals in 2000000 cliques
  205. Tue Nov 18 16:08:50 2025 commencing in-memory singleton removal
  206. Tue Nov 18 16:08:53 2025 begin with 170274669 relations and 152578893 unique ideals
  207. Tue Nov 18 16:09:01 2025 reduce to 170054116 relations and 147453546 ideals in 6 passes
  208. Tue Nov 18 16:09:01 2025 max relations containing the same ideal: 111
  209. Tue Nov 18 16:09:31 2025 removing 6952670 relations and 4952670 ideals in 2000000 cliques
  210. Tue Nov 18 16:09:34 2025 commencing in-memory singleton removal
  211. Tue Nov 18 16:09:36 2025 begin with 163101446 relations and 147453546 unique ideals
  212. Tue Nov 18 16:09:45 2025 reduce to 162868998 relations and 142265693 ideals in 7 passes
  213. Tue Nov 18 16:09:45 2025 max relations containing the same ideal: 106
  214. Tue Nov 18 16:10:15 2025 removing 7011948 relations and 5011948 ideals in 2000000 cliques
  215. Tue Nov 18 16:10:17 2025 commencing in-memory singleton removal
  216. Tue Nov 18 16:10:20 2025 begin with 155857050 relations and 142265693 unique ideals
  217. Tue Nov 18 16:10:27 2025 reduce to 155609373 relations and 137003204 ideals in 6 passes
  218. Tue Nov 18 16:10:27 2025 max relations containing the same ideal: 103
  219. Tue Nov 18 16:10:56 2025 removing 7078587 relations and 5078587 ideals in 2000000 cliques
  220. Tue Nov 18 16:10:58 2025 commencing in-memory singleton removal
  221. Tue Nov 18 16:11:00 2025 begin with 148530786 relations and 137003204 unique ideals
  222. Tue Nov 18 16:11:08 2025 reduce to 148269530 relations and 131660059 ideals in 6 passes
  223. Tue Nov 18 16:11:08 2025 max relations containing the same ideal: 100
  224. Tue Nov 18 16:11:35 2025 removing 7154063 relations and 5154063 ideals in 2000000 cliques
  225. Tue Nov 18 16:11:37 2025 commencing in-memory singleton removal
  226. Tue Nov 18 16:11:39 2025 begin with 141115467 relations and 131660059 unique ideals
  227. Tue Nov 18 16:11:47 2025 reduce to 140834108 relations and 126221175 ideals in 7 passes
  228. Tue Nov 18 16:11:47 2025 max relations containing the same ideal: 99
  229. Tue Nov 18 16:12:13 2025 removing 7243451 relations and 5243451 ideals in 2000000 cliques
  230. Tue Nov 18 16:12:15 2025 commencing in-memory singleton removal
  231. Tue Nov 18 16:12:17 2025 begin with 133590657 relations and 126221175 unique ideals
  232. Tue Nov 18 16:12:25 2025 reduce to 133289332 relations and 120672467 ideals in 7 passes
  233. Tue Nov 18 16:12:25 2025 max relations containing the same ideal: 97
  234. Tue Nov 18 16:12:50 2025 removing 7337301 relations and 5337301 ideals in 2000000 cliques
  235. Tue Nov 18 16:12:52 2025 commencing in-memory singleton removal
  236. Tue Nov 18 16:12:54 2025 begin with 125952031 relations and 120672467 unique ideals
  237. Tue Nov 18 16:13:01 2025 reduce to 125625107 relations and 115003696 ideals in 7 passes
  238. Tue Nov 18 16:13:01 2025 max relations containing the same ideal: 92
  239. Tue Nov 18 16:13:25 2025 removing 7453258 relations and 5453258 ideals in 2000000 cliques
  240. Tue Nov 18 16:13:27 2025 commencing in-memory singleton removal
  241. Tue Nov 18 16:13:29 2025 begin with 118171849 relations and 115003696 unique ideals
  242. Tue Nov 18 16:13:36 2025 reduce to 117815536 relations and 109189132 ideals in 8 passes
  243. Tue Nov 18 16:13:36 2025 max relations containing the same ideal: 87
  244. Tue Nov 18 16:13:59 2025 removing 7580364 relations and 5580364 ideals in 2000000 cliques
  245. Tue Nov 18 16:14:02 2025 commencing in-memory singleton removal
  246. Tue Nov 18 16:14:03 2025 begin with 110235172 relations and 109189132 unique ideals
  247. Tue Nov 18 16:14:10 2025 reduce to 109839911 relations and 103207680 ideals in 8 passes
  248. Tue Nov 18 16:14:10 2025 max relations containing the same ideal: 83
  249. Tue Nov 18 16:14:31 2025 removing 7725616 relations and 5725616 ideals in 2000000 cliques
  250. Tue Nov 18 16:14:33 2025 commencing in-memory singleton removal
  251. Tue Nov 18 16:14:35 2025 begin with 102114295 relations and 103207680 unique ideals
  252. Tue Nov 18 16:14:40 2025 reduce to 101673515 relations and 97034389 ideals in 7 passes
  253. Tue Nov 18 16:14:40 2025 max relations containing the same ideal: 77
  254. Tue Nov 18 16:15:00 2025 removing 6613081 relations and 5002936 ideals in 1610145 cliques
  255. Tue Nov 18 16:15:02 2025 commencing in-memory singleton removal
  256. Tue Nov 18 16:15:03 2025 begin with 95060434 relations and 97034389 unique ideals
  257. Tue Nov 18 16:15:08 2025 reduce to 94712819 relations and 91679229 ideals in 7 passes
  258. Tue Nov 18 16:15:08 2025 max relations containing the same ideal: 74
  259. Tue Nov 18 16:15:34 2025 relations with 0 large ideals: 197769
  260. Tue Nov 18 16:15:34 2025 relations with 1 large ideals: 46868
  261. Tue Nov 18 16:15:34 2025 relations with 2 large ideals: 561166
  262. Tue Nov 18 16:15:34 2025 relations with 3 large ideals: 3324948
  263. Tue Nov 18 16:15:34 2025 relations with 4 large ideals: 10734067
  264. Tue Nov 18 16:15:34 2025 relations with 5 large ideals: 20808237
  265. Tue Nov 18 16:15:34 2025 relations with 6 large ideals: 27413087
  266. Tue Nov 18 16:15:34 2025 relations with 7+ large ideals: 31626677
  267. Tue Nov 18 16:15:34 2025 commencing 2-way merge
  268. Tue Nov 18 16:16:03 2025 reduce to 60213883 relation sets and 57180293 unique ideals
  269. Tue Nov 18 16:16:03 2025 commencing full merge
  270. Tue Nov 18 16:28:54 2025 memory use: 7397.5 MB
  271. Tue Nov 18 16:28:58 2025 found 27909547 cycles, need 27592493
  272. Tue Nov 18 16:29:03 2025 weight of 27592493 cycles is about 3035698536 (110.02/cycle)
  273. Tue Nov 18 16:29:03 2025 distribution of cycle lengths:
  274. Tue Nov 18 16:29:03 2025 1 relations: 2275853
  275. Tue Nov 18 16:29:03 2025 2 relations: 2078973
  276. Tue Nov 18 16:29:03 2025 3 relations: 2030828
  277. Tue Nov 18 16:29:03 2025 4 relations: 2005229
  278. Tue Nov 18 16:29:03 2025 5 relations: 2008420
  279. Tue Nov 18 16:29:03 2025 6 relations: 1990073
  280. Tue Nov 18 16:29:03 2025 7 relations: 1934080
  281. Tue Nov 18 16:29:03 2025 8 relations: 1854960
  282. Tue Nov 18 16:29:03 2025 9 relations: 1736641
  283. Tue Nov 18 16:29:03 2025 10+ relations: 9677436
  284. Tue Nov 18 16:29:03 2025 heaviest cycle: 28 relations
  285. Tue Nov 18 16:29:09 2025 commencing cycle optimization
  286. Tue Nov 18 16:29:44 2025 start with 220129121 relations
  287. Tue Nov 18 16:33:56 2025 pruned 8784894 relations
  288. Tue Nov 18 16:33:56 2025 memory use: 6126.1 MB
  289. Tue Nov 18 16:33:56 2025 distribution of cycle lengths:
  290. Tue Nov 18 16:33:56 2025 1 relations: 2275853
  291. Tue Nov 18 16:33:56 2025 2 relations: 2119095
  292. Tue Nov 18 16:33:56 2025 3 relations: 2104732
  293. Tue Nov 18 16:33:56 2025 4 relations: 2078578
  294. Tue Nov 18 16:33:56 2025 5 relations: 2100661
  295. Tue Nov 18 16:33:56 2025 6 relations: 2076830
  296. Tue Nov 18 16:33:56 2025 7 relations: 2027482
  297. Tue Nov 18 16:33:56 2025 8 relations: 1934719
  298. Tue Nov 18 16:33:56 2025 9 relations: 1808980
  299. Tue Nov 18 16:33:56 2025 10+ relations: 9065563
  300. Tue Nov 18 16:33:56 2025 heaviest cycle: 28 relations
  301. Tue Nov 18 16:34:19 2025 RelProcTime: 5169
  302. Tue Nov 18 16:34:22 2025 elapsed time 01:26:13
  303. Wed Nov 19 10:09:29 2025
  304. Wed Nov 19 10:09:29 2025
  305. Wed Nov 19 10:09:29 2025 Msieve v. 1.54 (SVN 573b9ef)
  306. Wed Nov 19 10:09:29 2025 random seeds: 3dfd314d dc621f76
  307. Wed Nov 19 10:09:29 2025 MPI process 0 of 2
  308. Wed Nov 19 10:09:29 2025 Using 8 OpenMP threads
  309. Wed Nov 19 10:09:29 2025 factoring 725527392887847786865241787807469500729499143452793778735231968629052677335138937380302174316081084388023190004449573853446670479524543496487571273662365792455047551812377045661097892853719296624572633841741616732623880691882755854507071 (237 digits)
  310. Wed Nov 19 10:09:30 2025 no P-1/P+1/ECM available, skipping
  311. Wed Nov 19 10:09:30 2025 commencing number field sieve (237-digit input)
  312. Wed Nov 19 10:09:30 2025 R0: 98079714615416886934934210119140212228545135448400438073
  313. Wed Nov 19 10:09:30 2025 R1: -6117141027690268863066571918245810640257024
  314. Wed Nov 19 10:09:30 2025 A0: -1
  315. Wed Nov 19 10:09:30 2025 A1: 3
  316. Wed Nov 19 10:09:30 2025 A2: 3
  317. Wed Nov 19 10:09:30 2025 A3: -4
  318. Wed Nov 19 10:09:30 2025 A4: -1
  319. Wed Nov 19 10:09:30 2025 A5: 1
  320. Wed Nov 19 10:09:30 2025 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  321. Wed Nov 19 10:09:30 2025
  322. Wed Nov 19 10:09:30 2025 commencing linear algebra
  323. Wed Nov 19 10:09:30 2025 using VBITS=256
  324. Wed Nov 19 10:09:30 2025 stopping after matrix build
  325. Wed Nov 19 10:09:30 2025 initialized process (0,0) of 1 x 2 grid
  326. Wed Nov 19 10:09:33 2025 read 27592493 cycles
  327. Wed Nov 19 10:10:24 2025 cycles contain 92978896 unique relations
  328. Wed Nov 19 10:11:33 2025 read 92978896 relations
  329. Wed Nov 19 10:11:53 2025 using 20 quadratic characters above 4294917295
  330. Wed Nov 19 10:12:28 2025 building initial matrix
  331. Wed Nov 19 10:23:02 2025 memory use: 11893.2 MB
  332. Wed Nov 19 10:23:13 2025 read 27592493 cycles
  333. Wed Nov 19 10:23:16 2025 matrix is 27592314 x 27592493 (12098.4 MB) with weight 3432578344 (124.40/col)
  334. Wed Nov 19 10:23:16 2025 sparse part has weight 2868012668 (103.94/col)
  335. Wed Nov 19 10:26:20 2025 filtering completed in 2 passes
  336. Wed Nov 19 10:26:24 2025 matrix is 27589464 x 27589628 (12098.1 MB) with weight 3432478227 (124.41/col)
  337. Wed Nov 19 10:26:24 2025 sparse part has weight 2867970166 (103.95/col)
  338. Wed Nov 19 10:27:00 2025 BLanczosTime: 1050
  339. Wed Nov 19 10:27:00 2025 elapsed time 00:17:31
  340. Wed Nov 19 11:14:53 2025
  341. Wed Nov 19 11:14:53 2025
  342. Wed Nov 19 11:14:53 2025 Msieve v. 1.54 (SVN 573b9ef)
  343. Wed Nov 19 11:14:53 2025 random seeds: c1aa8431 852d1811
  344. Wed Nov 19 11:14:53 2025 MPI process 0 of 2
  345. Wed Nov 19 11:14:53 2025 Using 8 OpenMP threads
  346. Wed Nov 19 11:14:53 2025 factoring 725527392887847786865241787807469500729499143452793778735231968629052677335138937380302174316081084388023190004449573853446670479524543496487571273662365792455047551812377045661097892853719296624572633841741616732623880691882755854507071 (237 digits)
  347. Wed Nov 19 11:14:54 2025 no P-1/P+1/ECM available, skipping
  348. Wed Nov 19 11:14:54 2025 commencing number field sieve (237-digit input)
  349. Wed Nov 19 11:14:54 2025 R0: 98079714615416886934934210119140212228545135448400438073
  350. Wed Nov 19 11:14:54 2025 R1: -6117141027690268863066571918245810640257024
  351. Wed Nov 19 11:14:54 2025 A0: -1
  352. Wed Nov 19 11:14:54 2025 A1: 3
  353. Wed Nov 19 11:14:54 2025 A2: 3
  354. Wed Nov 19 11:14:54 2025 A3: -4
  355. Wed Nov 19 11:14:54 2025 A4: -1
  356. Wed Nov 19 11:14:54 2025 A5: 1
  357. Wed Nov 19 11:14:54 2025 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  358. Wed Nov 19 11:14:54 2025
  359. Wed Nov 19 11:14:54 2025 commencing linear algebra
  360. Wed Nov 19 11:14:54 2025 using VBITS=256
  361. Wed Nov 19 11:14:54 2025 skipping matrix build
  362. Wed Nov 19 11:14:54 2025 initialized process (0,0) of 1 x 2 grid
  363. Wed Nov 19 11:15:05 2025 matrix starts at (0, 0)
  364. Wed Nov 19 11:15:06 2025 matrix is 27589464 x 13794854 (6049.1 MB) with weight 1716248436 (124.41/col)
  365. Wed Nov 19 11:15:06 2025 sparse part has weight 1433985195 (103.95/col)
  366. Wed Nov 19 11:15:06 2025 saving the first 240 matrix rows for later
  367. Wed Nov 19 11:15:10 2025 matrix includes 256 packed rows
  368. Wed Nov 19 11:15:14 2025 matrix is 27589224 x 13794854 (5641.3 MB) with weight 1319017925 (95.62/col)
  369. Wed Nov 19 11:15:14 2025 sparse part has weight 1258128317 (91.20/col)
  370. Wed Nov 19 11:15:15 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  371. Wed Nov 19 11:15:15 2025 selected card has CUDA arch 8.6
  372. Wed Nov 19 11:16:25 2025 commencing Lanczos iteration
  373. Wed Nov 19 11:16:28 2025 memory use: 14387.4 MB
  374. Wed Nov 19 11:17:25 2025 linear algebra at 0.1%, ETA 13h59m
  375. Wed Nov 19 11:18:49 2025 checking every 30000 dimensions, checkpointing every 1980000 dimensions
  376. Thu Nov 20 01:17:51 2025 lanczos halted after 108095 iterations (dim = 27589220)
  377. Thu Nov 20 01:20:29 2025 recovered 34 nontrivial dependencies
  378. Thu Nov 20 01:20:29 2025 BLanczosTime: 50735
  379. Thu Nov 20 01:20:29 2025 elapsed time 14:05:36
  380. Thu Nov 20 13:33:57 2025
  381. Thu Nov 20 13:33:57 2025
  382. Thu Nov 20 13:33:57 2025 Msieve v. 1.54 (SVN 573b9ef)
  383. Thu Nov 20 13:33:57 2025 random seeds: bd029b25 54e9b478
  384. Thu Nov 20 13:33:57 2025 Using 32 OpenMP threads
  385. Thu Nov 20 13:33:57 2025 factoring 725527392887847786865241787807469500729499143452793778735231968629052677335138937380302174316081084388023190004449573853446670479524543496487571273662365792455047551812377045661097892853719296624572633841741616732623880691882755854507071 (237 digits)
  386. Thu Nov 20 13:33:58 2025 no P-1/P+1/ECM available, skipping
  387. Thu Nov 20 13:33:58 2025 commencing number field sieve (237-digit input)
  388. Thu Nov 20 13:33:58 2025 R0: 98079714615416886934934210119140212228545135448400438073
  389. Thu Nov 20 13:33:58 2025 R1: -6117141027690268863066571918245810640257024
  390. Thu Nov 20 13:33:58 2025 A0: -1
  391. Thu Nov 20 13:33:58 2025 A1: 3
  392. Thu Nov 20 13:33:58 2025 A2: 3
  393. Thu Nov 20 13:33:58 2025 A3: -4
  394. Thu Nov 20 13:33:58 2025 A4: -1
  395. Thu Nov 20 13:33:58 2025 A5: 1
  396. Thu Nov 20 13:33:58 2025 skew 1.00, size 5.516e-19, alpha 2.379, combined = 5.649e-15 rroots = 5
  397. Thu Nov 20 13:33:58 2025
  398. Thu Nov 20 13:33:58 2025 commencing square root phase
  399. Thu Nov 20 13:33:58 2025 reading relations for dependency 1
  400. Thu Nov 20 13:34:00 2025 read 13793532 cycles
  401. Thu Nov 20 13:34:17 2025 cycles contain 46494628 unique relations
  402. Thu Nov 20 13:35:15 2025 read 46494628 relations
  403. Thu Nov 20 13:37:13 2025 multiplying 46494628 relations
  404. Thu Nov 20 13:38:59 2025 multiply complete, coefficients have about 1284.66 million bits
  405. Thu Nov 20 13:39:01 2025 initial square root is modulo 578971
  406. Thu Nov 20 13:43:18 2025 GCD is N, no factor found
  407. Thu Nov 20 13:43:18 2025 reading relations for dependency 2
  408. Thu Nov 20 13:43:19 2025 read 13794489 cycles
  409. Thu Nov 20 13:43:36 2025 cycles contain 46483080 unique relations
  410. Thu Nov 20 13:44:09 2025 read 46483080 relations
  411. Thu Nov 20 13:46:08 2025 multiplying 46483080 relations
  412. Thu Nov 20 13:47:53 2025 multiply complete, coefficients have about 1284.34 million bits
  413. Thu Nov 20 13:47:55 2025 initial square root is modulo 577063
  414. Thu Nov 20 13:52:12 2025 found factor: 19366472138987382974247511735019047238067134795681671855578721
  415. Thu Nov 20 13:52:12 2025 reading relations for dependency 3
  416. Thu Nov 20 13:52:13 2025 read 13798251 cycles
  417. Thu Nov 20 13:52:30 2025 cycles contain 46506846 unique relations
  418. Thu Nov 20 13:53:03 2025 read 46506846 relations
  419. Thu Nov 20 13:55:02 2025 multiplying 46506846 relations
  420. Thu Nov 20 13:56:48 2025 multiply complete, coefficients have about 1285.01 million bits
  421. Thu Nov 20 13:56:49 2025 initial square root is modulo 581029
  422. Thu Nov 20 14:01:04 2025 found factor: 19366472138987382974247511735019047238067134795681671855578721
  423. Thu Nov 20 14:01:04 2025 reading relations for dependency 4
  424. Thu Nov 20 14:01:05 2025 read 13793478 cycles
  425. Thu Nov 20 14:01:22 2025 cycles contain 46489276 unique relations
  426. Thu Nov 20 14:01:54 2025 read 46489276 relations
  427. Thu Nov 20 14:03:54 2025 multiplying 46489276 relations
  428. Thu Nov 20 14:05:37 2025 multiply complete, coefficients have about 1284.53 million bits
  429. Thu Nov 20 14:05:39 2025 initial square root is modulo 578167
  430. Thu Nov 20 14:09:54 2025 GCD is N, no factor found
  431. Thu Nov 20 14:09:54 2025 reading relations for dependency 5
  432. Thu Nov 20 14:09:55 2025 read 13794020 cycles
  433. Thu Nov 20 14:10:12 2025 cycles contain 46496726 unique relations
  434. Thu Nov 20 14:10:45 2025 read 46496726 relations
  435. Thu Nov 20 14:12:45 2025 multiplying 46496726 relations
  436. Thu Nov 20 14:14:29 2025 multiply complete, coefficients have about 1284.74 million bits
  437. Thu Nov 20 14:14:31 2025 initial square root is modulo 579451
  438. Thu Nov 20 14:18:41 2025 sqrtTime: 2683
  439. Thu Nov 20 14:18:41 2025 p62 factor: 19366472138987382974247511735019047238067134795681671855578721
  440. Thu Nov 20 14:18:41 2025 p66 factor: 301093896918459116721925463793758398293477934113477213860019996179
  441. Thu Nov 20 14:18:41 2025 p111 factor: 124423194161461616008323251465319204046327750277552408478871065182342936780385616898105014282558484662776080069
  442. Thu Nov 20 14:18:41 2025 elapsed time 00:44:44
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