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Nov 21st, 2025
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  1. Tue Nov 18 15:51:08 2025
  2. Tue Nov 18 15:51:08 2025
  3. Tue Nov 18 15:51:08 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Nov 18 15:51:08 2025 random seeds: f1c6b62a 8f64ab1e
  5. Tue Nov 18 15:51:08 2025 factoring 4307658639613441501813133870604604706570776687628232763738038043116135241617080890959064037797556008176087170259627797162766146376493717076638062080238096891350165797592604258473 (178 digits)
  6. Tue Nov 18 15:51:10 2025 no P-1/P+1/ECM available, skipping
  7. Tue Nov 18 15:51:10 2025 commencing number field sieve (178-digit input)
  8. Tue Nov 18 15:51:10 2025 R0: -27062993979893454112678782428860310
  9. Tue Nov 18 15:51:10 2025 R1: 508841235714023170760296079
  10. Tue Nov 18 15:51:10 2025 A0: 681607303048425907924794631349875948554
  11. Tue Nov 18 15:51:10 2025 A1: 1552445711379115108747626320629313
  12. Tue Nov 18 15:51:10 2025 A2: -1365312675649686841087552782
  13. Tue Nov 18 15:51:10 2025 A3: -800997705809250155117
  14. Tue Nov 18 15:51:10 2025 A4: 147818165524944
  15. Tue Nov 18 15:51:10 2025 A5: 1073520
  16. Tue Nov 18 15:51:10 2025 skew 2253170.19, size 3.764e-17, alpha -7.023, combined = 1.636e-13 rroots = 5
  17. Tue Nov 18 15:51:10 2025
  18. Tue Nov 18 15:51:10 2025 commencing relation filtering
  19. Tue Nov 18 15:51:10 2025 setting target matrix density to 110.0
  20. Tue Nov 18 15:51:10 2025 estimated available RAM is 385582.3 MB
  21. Tue Nov 18 15:51:10 2025 commencing duplicate removal, pass 1
  22. Tue Nov 18 17:16:31 2025 error -15 reading relation 348959107
  23. Tue Nov 18 17:17:54 2025 error -15 reading relation 354076822
  24. Tue Nov 18 17:41:18 2025 error -15 reading relation 439384104
  25. Tue Nov 18 17:41:19 2025 error -15 reading relation 439409463
  26. Tue Nov 18 18:00:51 2025 error -11 reading relation 508263528
  27. Tue Nov 18 18:24:24 2025 skipped 1 relations with b > 2^32
  28. Tue Nov 18 18:24:24 2025 skipped 1 relations with composite factors
  29. Tue Nov 18 18:24:24 2025 skipped 4 malformed relations
  30. Tue Nov 18 18:24:24 2025 found 37253068 hash collisions in 591640321 relations
  31. Tue Nov 18 18:25:11 2025 added 122365 free relations
  32. Tue Nov 18 18:25:11 2025 commencing duplicate removal, pass 2
  33. Tue Nov 18 18:31:09 2025 found 0 duplicates and 591762686 unique relations
  34. Tue Nov 18 18:31:09 2025 memory use: 1705.5 MB
  35. Tue Nov 18 18:31:10 2025 reading ideals above 720000
  36. Tue Nov 18 18:31:10 2025 commencing singleton removal, initial pass
  37. Tue Nov 18 21:29:57 2025 memory use: 11024.0 MB
  38. Tue Nov 18 21:29:58 2025 reading all ideals from disk
  39. Tue Nov 18 21:30:45 2025 memory use: 28460.8 MB
  40. Tue Nov 18 21:33:19 2025 keeping 474591761 ideals with weight <= 200, target excess is 4771997
  41. Tue Nov 18 21:36:54 2025 commencing in-memory singleton removal
  42. Tue Nov 18 21:39:54 2025 begin with 591762686 relations and 474591761 unique ideals
  43. Tue Nov 18 21:49:43 2025 reduce to 413362857 relations and 280969483 ideals in 12 passes
  44. Tue Nov 18 21:49:43 2025 max relations containing the same ideal: 170
  45. Tue Nov 18 21:55:30 2025 removing 10499650 relations and 8499650 ideals in 2000000 cliques
  46. Tue Nov 18 21:55:51 2025 commencing in-memory singleton removal
  47. Tue Nov 18 21:57:46 2025 begin with 402863207 relations and 280969483 unique ideals
  48. Tue Nov 18 22:02:31 2025 reduce to 402664612 relations and 272269841 ideals in 7 passes
  49. Tue Nov 18 22:02:31 2025 max relations containing the same ideal: 168
  50. Tue Nov 18 22:08:07 2025 removing 8074170 relations and 6074170 ideals in 2000000 cliques
  51. Tue Nov 18 22:08:21 2025 commencing in-memory singleton removal
  52. Tue Nov 18 22:10:05 2025 begin with 394590442 relations and 272269841 unique ideals
  53. Tue Nov 18 22:14:03 2025 reduce to 394455315 relations and 266059701 ideals in 6 passes
  54. Tue Nov 18 22:14:03 2025 max relations containing the same ideal: 165
  55. Tue Nov 18 22:19:11 2025 removing 7318703 relations and 5318703 ideals in 2000000 cliques
  56. Tue Nov 18 22:19:25 2025 commencing in-memory singleton removal
  57. Tue Nov 18 22:21:04 2025 begin with 387136612 relations and 266059701 unique ideals
  58. Tue Nov 18 22:25:02 2025 reduce to 387019519 relations and 260623222 ideals in 6 passes
  59. Tue Nov 18 22:25:02 2025 max relations containing the same ideal: 163
  60. Tue Nov 18 22:30:10 2025 removing 6898409 relations and 4898409 ideals in 2000000 cliques
  61. Tue Nov 18 22:30:26 2025 commencing in-memory singleton removal
  62. Tue Nov 18 22:32:14 2025 begin with 380121110 relations and 260623222 unique ideals
  63. Tue Nov 18 22:36:40 2025 reduce to 380015634 relations and 255618731 ideals in 6 passes
  64. Tue Nov 18 22:36:40 2025 max relations containing the same ideal: 162
  65. Tue Nov 18 22:41:59 2025 removing 6617762 relations and 4617762 ideals in 2000000 cliques
  66. Tue Nov 18 22:42:13 2025 commencing in-memory singleton removal
  67. Tue Nov 18 22:43:53 2025 begin with 373397872 relations and 255618731 unique ideals
  68. Tue Nov 18 22:47:46 2025 reduce to 373298389 relations and 250900952 ideals in 6 passes
  69. Tue Nov 18 22:47:46 2025 max relations containing the same ideal: 159
  70. Tue Nov 18 22:52:47 2025 removing 6412253 relations and 4412253 ideals in 2000000 cliques
  71. Tue Nov 18 22:53:01 2025 commencing in-memory singleton removal
  72. Tue Nov 18 22:54:41 2025 begin with 366886136 relations and 250900952 unique ideals
  73. Tue Nov 18 22:58:58 2025 reduce to 366792140 relations and 246394148 ideals in 7 passes
  74. Tue Nov 18 22:58:58 2025 max relations containing the same ideal: 158
  75. Tue Nov 18 23:03:37 2025 removing 6260134 relations and 4260134 ideals in 2000000 cliques
  76. Tue Nov 18 23:03:51 2025 commencing in-memory singleton removal
  77. Tue Nov 18 23:05:22 2025 begin with 360532006 relations and 246394148 unique ideals
  78. Tue Nov 18 23:08:53 2025 reduce to 360442199 relations and 242043640 ideals in 6 passes
  79. Tue Nov 18 23:08:53 2025 max relations containing the same ideal: 156
  80. Tue Nov 18 23:13:51 2025 removing 6134865 relations and 4134865 ideals in 2000000 cliques
  81. Tue Nov 18 23:14:04 2025 commencing in-memory singleton removal
  82. Tue Nov 18 23:15:39 2025 begin with 354307334 relations and 242043640 unique ideals
  83. Tue Nov 18 23:19:24 2025 reduce to 354220505 relations and 237821419 ideals in 6 passes
  84. Tue Nov 18 23:19:24 2025 max relations containing the same ideal: 156
  85. Tue Nov 18 23:24:02 2025 removing 6030019 relations and 4030019 ideals in 2000000 cliques
  86. Tue Nov 18 23:24:15 2025 commencing in-memory singleton removal
  87. Tue Nov 18 23:25:39 2025 begin with 348190486 relations and 237821419 unique ideals
  88. Tue Nov 18 23:28:22 2025 reduce to 348105226 relations and 233705578 ideals in 5 passes
  89. Tue Nov 18 23:28:22 2025 max relations containing the same ideal: 155
  90. Tue Nov 18 23:32:44 2025 removing 5944344 relations and 3944344 ideals in 2000000 cliques
  91. Tue Nov 18 23:32:57 2025 commencing in-memory singleton removal
  92. Tue Nov 18 23:34:19 2025 begin with 342160882 relations and 233705578 unique ideals
  93. Tue Nov 18 23:37:39 2025 reduce to 342077544 relations and 229677286 ideals in 6 passes
  94. Tue Nov 18 23:37:39 2025 max relations containing the same ideal: 154
  95. Tue Nov 18 23:41:53 2025 removing 5871845 relations and 3871845 ideals in 2000000 cliques
  96. Tue Nov 18 23:42:05 2025 commencing in-memory singleton removal
  97. Tue Nov 18 23:43:25 2025 begin with 336205699 relations and 229677286 unique ideals
  98. Tue Nov 18 23:46:30 2025 reduce to 336123450 relations and 225722530 ideals in 6 passes
  99. Tue Nov 18 23:46:30 2025 max relations containing the same ideal: 149
  100. Tue Nov 18 23:50:39 2025 removing 5807391 relations and 3807391 ideals in 2000000 cliques
  101. Tue Nov 18 23:50:51 2025 commencing in-memory singleton removal
  102. Tue Nov 18 23:52:10 2025 begin with 330316059 relations and 225722530 unique ideals
  103. Tue Nov 18 23:54:41 2025 reduce to 330234188 relations and 221832677 ideals in 5 passes
  104. Tue Nov 18 23:54:41 2025 max relations containing the same ideal: 147
  105. Tue Nov 18 23:58:43 2025 removing 5748634 relations and 3748634 ideals in 2000000 cliques
  106. Tue Nov 18 23:58:55 2025 commencing in-memory singleton removal
  107. Wed Nov 19 00:00:09 2025 begin with 324485554 relations and 221832677 unique ideals
  108. Wed Nov 19 00:03:07 2025 reduce to 324406238 relations and 218004128 ideals in 6 passes
  109. Wed Nov 19 00:03:07 2025 max relations containing the same ideal: 146
  110. Wed Nov 19 00:07:05 2025 removing 5699811 relations and 3699811 ideals in 2000000 cliques
  111. Wed Nov 19 00:07:17 2025 commencing in-memory singleton removal
  112. Wed Nov 19 00:08:32 2025 begin with 318706427 relations and 218004128 unique ideals
  113. Wed Nov 19 00:11:28 2025 reduce to 318627250 relations and 214224469 ideals in 6 passes
  114. Wed Nov 19 00:11:28 2025 max relations containing the same ideal: 146
  115. Wed Nov 19 00:15:25 2025 removing 5654517 relations and 3654517 ideals in 2000000 cliques
  116. Wed Nov 19 00:15:37 2025 commencing in-memory singleton removal
  117. Wed Nov 19 00:16:51 2025 begin with 312972733 relations and 214224469 unique ideals
  118. Wed Nov 19 00:19:43 2025 reduce to 312892753 relations and 210489256 ideals in 6 passes
  119. Wed Nov 19 00:19:43 2025 max relations containing the same ideal: 146
  120. Wed Nov 19 00:23:39 2025 removing 5613889 relations and 3613889 ideals in 2000000 cliques
  121. Wed Nov 19 00:23:51 2025 commencing in-memory singleton removal
  122. Wed Nov 19 00:25:04 2025 begin with 307278864 relations and 210489256 unique ideals
  123. Wed Nov 19 00:27:51 2025 reduce to 307199631 relations and 206795414 ideals in 6 passes
  124. Wed Nov 19 00:27:51 2025 max relations containing the same ideal: 145
  125. Wed Nov 19 00:31:40 2025 removing 5576790 relations and 3576790 ideals in 2000000 cliques
  126. Wed Nov 19 00:31:52 2025 commencing in-memory singleton removal
  127. Wed Nov 19 00:33:08 2025 begin with 301622841 relations and 206795414 unique ideals
  128. Wed Nov 19 00:35:31 2025 reduce to 301543509 relations and 203138544 ideals in 5 passes
  129. Wed Nov 19 00:35:31 2025 max relations containing the same ideal: 143
  130. Wed Nov 19 00:39:23 2025 removing 5541989 relations and 3541989 ideals in 2000000 cliques
  131. Wed Nov 19 00:39:34 2025 commencing in-memory singleton removal
  132. Wed Nov 19 00:40:44 2025 begin with 296001520 relations and 203138544 unique ideals
  133. Wed Nov 19 00:42:57 2025 reduce to 295922381 relations and 199516657 ideals in 5 passes
  134. Wed Nov 19 00:42:57 2025 max relations containing the same ideal: 140
  135. Wed Nov 19 00:46:36 2025 removing 5511073 relations and 3511073 ideals in 2000000 cliques
  136. Wed Nov 19 00:46:47 2025 commencing in-memory singleton removal
  137. Wed Nov 19 00:47:53 2025 begin with 290411308 relations and 199516657 unique ideals
  138. Wed Nov 19 00:50:32 2025 reduce to 290330749 relations and 195924267 ideals in 6 passes
  139. Wed Nov 19 00:50:32 2025 max relations containing the same ideal: 138
  140. Wed Nov 19 00:54:11 2025 removing 5485167 relations and 3485167 ideals in 2000000 cliques
  141. Wed Nov 19 00:54:21 2025 commencing in-memory singleton removal
  142. Wed Nov 19 00:55:28 2025 begin with 284845582 relations and 195924267 unique ideals
  143. Wed Nov 19 00:57:59 2025 reduce to 284764981 relations and 192357653 ideals in 6 passes
  144. Wed Nov 19 00:57:59 2025 max relations containing the same ideal: 137
  145. Wed Nov 19 01:01:29 2025 removing 5460831 relations and 3460831 ideals in 2000000 cliques
  146. Wed Nov 19 01:01:39 2025 commencing in-memory singleton removal
  147. Wed Nov 19 01:02:44 2025 begin with 279304150 relations and 192357653 unique ideals
  148. Wed Nov 19 01:04:49 2025 reduce to 279223529 relations and 188815355 ideals in 5 passes
  149. Wed Nov 19 01:04:49 2025 max relations containing the same ideal: 135
  150. Wed Nov 19 01:08:15 2025 removing 5432069 relations and 3432069 ideals in 2000000 cliques
  151. Wed Nov 19 01:08:26 2025 commencing in-memory singleton removal
  152. Wed Nov 19 01:09:28 2025 begin with 273791460 relations and 188815355 unique ideals
  153. Wed Nov 19 01:11:54 2025 reduce to 273710753 relations and 185301679 ideals in 6 passes
  154. Wed Nov 19 01:11:54 2025 max relations containing the same ideal: 133
  155. Wed Nov 19 01:15:17 2025 removing 5414093 relations and 3414093 ideals in 2000000 cliques
  156. Wed Nov 19 01:15:27 2025 commencing in-memory singleton removal
  157. Wed Nov 19 01:16:28 2025 begin with 268296660 relations and 185301679 unique ideals
  158. Wed Nov 19 01:18:50 2025 reduce to 268215155 relations and 181805168 ideals in 6 passes
  159. Wed Nov 19 01:18:50 2025 max relations containing the same ideal: 132
  160. Wed Nov 19 01:22:06 2025 removing 5397025 relations and 3397025 ideals in 2000000 cliques
  161. Wed Nov 19 01:22:17 2025 commencing in-memory singleton removal
  162. Wed Nov 19 01:23:17 2025 begin with 262818130 relations and 181805168 unique ideals
  163. Wed Nov 19 01:25:36 2025 reduce to 262735207 relations and 178324269 ideals in 6 passes
  164. Wed Nov 19 01:25:36 2025 max relations containing the same ideal: 130
  165. Wed Nov 19 01:28:49 2025 removing 5373417 relations and 3373417 ideals in 2000000 cliques
  166. Wed Nov 19 01:28:59 2025 commencing in-memory singleton removal
  167. Wed Nov 19 01:29:56 2025 begin with 257361790 relations and 178324269 unique ideals
  168. Wed Nov 19 01:31:50 2025 reduce to 257279169 relations and 174867245 ideals in 5 passes
  169. Wed Nov 19 01:31:50 2025 max relations containing the same ideal: 125
  170. Wed Nov 19 01:35:12 2025 removing 5357032 relations and 3357032 ideals in 2000000 cliques
  171. Wed Nov 19 01:35:21 2025 commencing in-memory singleton removal
  172. Wed Nov 19 01:36:19 2025 begin with 251922137 relations and 174867245 unique ideals
  173. Wed Nov 19 01:38:30 2025 reduce to 251838074 relations and 171425132 ideals in 6 passes
  174. Wed Nov 19 01:38:30 2025 max relations containing the same ideal: 124
  175. Wed Nov 19 01:41:30 2025 removing 5343430 relations and 3343430 ideals in 2000000 cliques
  176. Wed Nov 19 01:41:39 2025 commencing in-memory singleton removal
  177. Wed Nov 19 01:42:34 2025 begin with 246494644 relations and 171425132 unique ideals
  178. Wed Nov 19 01:44:43 2025 reduce to 246409576 relations and 167995600 ideals in 6 passes
  179. Wed Nov 19 01:44:43 2025 max relations containing the same ideal: 123
  180. Wed Nov 19 01:47:41 2025 removing 5326749 relations and 3326749 ideals in 2000000 cliques
  181. Wed Nov 19 01:47:50 2025 commencing in-memory singleton removal
  182. Wed Nov 19 01:48:43 2025 begin with 241082827 relations and 167995600 unique ideals
  183. Wed Nov 19 01:50:48 2025 reduce to 240997141 relations and 164582058 ideals in 6 passes
  184. Wed Nov 19 01:50:48 2025 max relations containing the same ideal: 121
  185. Wed Nov 19 01:53:40 2025 removing 5314522 relations and 3314522 ideals in 2000000 cliques
  186. Wed Nov 19 01:53:49 2025 commencing in-memory singleton removal
  187. Wed Nov 19 01:54:42 2025 begin with 235682619 relations and 164582058 unique ideals
  188. Wed Nov 19 01:56:24 2025 reduce to 235595334 relations and 161179193 ideals in 5 passes
  189. Wed Nov 19 01:56:24 2025 max relations containing the same ideal: 120
  190. Wed Nov 19 01:59:12 2025 removing 5306046 relations and 3306046 ideals in 2000000 cliques
  191. Wed Nov 19 01:59:21 2025 commencing in-memory singleton removal
  192. Wed Nov 19 02:00:11 2025 begin with 230289288 relations and 161179193 unique ideals
  193. Wed Nov 19 02:01:50 2025 reduce to 230201262 relations and 157783964 ideals in 5 passes
  194. Wed Nov 19 02:01:50 2025 max relations containing the same ideal: 117
  195. Wed Nov 19 02:04:36 2025 removing 5292857 relations and 3292857 ideals in 2000000 cliques
  196. Wed Nov 19 02:04:45 2025 commencing in-memory singleton removal
  197. Wed Nov 19 02:05:34 2025 begin with 224908405 relations and 157783964 unique ideals
  198. Wed Nov 19 02:07:09 2025 reduce to 224818173 relations and 154399733 ideals in 5 passes
  199. Wed Nov 19 02:07:09 2025 max relations containing the same ideal: 117
  200. Wed Nov 19 02:09:50 2025 removing 5285889 relations and 3285889 ideals in 2000000 cliques
  201. Wed Nov 19 02:09:59 2025 commencing in-memory singleton removal
  202. Wed Nov 19 02:10:46 2025 begin with 219532284 relations and 154399733 unique ideals
  203. Wed Nov 19 02:12:20 2025 reduce to 219440647 relations and 151020986 ideals in 5 passes
  204. Wed Nov 19 02:12:20 2025 max relations containing the same ideal: 113
  205. Wed Nov 19 02:14:56 2025 removing 5275540 relations and 3275540 ideals in 2000000 cliques
  206. Wed Nov 19 02:15:04 2025 commencing in-memory singleton removal
  207. Wed Nov 19 02:15:50 2025 begin with 214165107 relations and 151020986 unique ideals
  208. Wed Nov 19 02:17:21 2025 reduce to 214072033 relations and 147651093 ideals in 5 passes
  209. Wed Nov 19 02:17:21 2025 max relations containing the same ideal: 111
  210. Wed Nov 19 02:19:55 2025 removing 5270826 relations and 3270826 ideals in 2000000 cliques
  211. Wed Nov 19 02:20:04 2025 commencing in-memory singleton removal
  212. Wed Nov 19 02:20:48 2025 begin with 208801207 relations and 147651093 unique ideals
  213. Wed Nov 19 02:22:15 2025 reduce to 208706840 relations and 144284669 ideals in 5 passes
  214. Wed Nov 19 02:22:15 2025 max relations containing the same ideal: 109
  215. Wed Nov 19 02:24:42 2025 removing 5260526 relations and 3260526 ideals in 2000000 cliques
  216. Wed Nov 19 02:24:50 2025 commencing in-memory singleton removal
  217. Wed Nov 19 02:25:34 2025 begin with 203446314 relations and 144284669 unique ideals
  218. Wed Nov 19 02:27:01 2025 reduce to 203349998 relations and 140926411 ideals in 5 passes
  219. Wed Nov 19 02:27:01 2025 max relations containing the same ideal: 108
  220. Wed Nov 19 02:29:30 2025 removing 5259760 relations and 3259760 ideals in 2000000 cliques
  221. Wed Nov 19 02:29:38 2025 commencing in-memory singleton removal
  222. Wed Nov 19 02:30:21 2025 begin with 198090238 relations and 140926411 unique ideals
  223. Wed Nov 19 02:31:48 2025 reduce to 197991567 relations and 137566512 ideals in 5 passes
  224. Wed Nov 19 02:31:48 2025 max relations containing the same ideal: 106
  225. Wed Nov 19 02:34:21 2025 removing 5256715 relations and 3256715 ideals in 2000000 cliques
  226. Wed Nov 19 02:34:29 2025 commencing in-memory singleton removal
  227. Wed Nov 19 02:35:14 2025 begin with 192734852 relations and 137566512 unique ideals
  228. Wed Nov 19 02:36:37 2025 reduce to 192634272 relations and 134207737 ideals in 5 passes
  229. Wed Nov 19 02:36:37 2025 max relations containing the same ideal: 105
  230. Wed Nov 19 02:38:56 2025 removing 5254397 relations and 3254397 ideals in 2000000 cliques
  231. Wed Nov 19 02:39:03 2025 commencing in-memory singleton removal
  232. Wed Nov 19 02:39:44 2025 begin with 187379875 relations and 134207737 unique ideals
  233. Wed Nov 19 02:41:17 2025 reduce to 187276612 relations and 130848452 ideals in 6 passes
  234. Wed Nov 19 02:41:17 2025 max relations containing the same ideal: 101
  235. Wed Nov 19 02:43:31 2025 removing 5255935 relations and 3255935 ideals in 2000000 cliques
  236. Wed Nov 19 02:43:38 2025 commencing in-memory singleton removal
  237. Wed Nov 19 02:44:17 2025 begin with 182020677 relations and 130848452 unique ideals
  238. Wed Nov 19 02:45:34 2025 reduce to 181915245 relations and 127485396 ideals in 5 passes
  239. Wed Nov 19 02:45:34 2025 max relations containing the same ideal: 98
  240. Wed Nov 19 02:47:44 2025 removing 5255657 relations and 3255657 ideals in 2000000 cliques
  241. Wed Nov 19 02:47:51 2025 commencing in-memory singleton removal
  242. Wed Nov 19 02:48:29 2025 begin with 176659588 relations and 127485396 unique ideals
  243. Wed Nov 19 02:49:42 2025 reduce to 176550957 relations and 124119425 ideals in 5 passes
  244. Wed Nov 19 02:49:42 2025 max relations containing the same ideal: 98
  245. Wed Nov 19 02:51:46 2025 removing 5257037 relations and 3257037 ideals in 2000000 cliques
  246. Wed Nov 19 02:51:54 2025 commencing in-memory singleton removal
  247. Wed Nov 19 02:52:30 2025 begin with 171293920 relations and 124119425 unique ideals
  248. Wed Nov 19 02:53:55 2025 reduce to 171182617 relations and 120749283 ideals in 6 passes
  249. Wed Nov 19 02:53:55 2025 max relations containing the same ideal: 97
  250. Wed Nov 19 02:55:58 2025 removing 5261084 relations and 3261084 ideals in 2000000 cliques
  251. Wed Nov 19 02:56:05 2025 commencing in-memory singleton removal
  252. Wed Nov 19 02:56:42 2025 begin with 165921533 relations and 120749283 unique ideals
  253. Wed Nov 19 02:58:10 2025 reduce to 165806277 relations and 117371044 ideals in 6 passes
  254. Wed Nov 19 02:58:10 2025 max relations containing the same ideal: 93
  255. Wed Nov 19 03:00:15 2025 removing 5267308 relations and 3267308 ideals in 2000000 cliques
  256. Wed Nov 19 03:00:22 2025 commencing in-memory singleton removal
  257. Wed Nov 19 03:00:56 2025 begin with 160538969 relations and 117371044 unique ideals
  258. Wed Nov 19 03:02:01 2025 reduce to 160419986 relations and 113982732 ideals in 5 passes
  259. Wed Nov 19 03:02:01 2025 max relations containing the same ideal: 92
  260. Wed Nov 19 03:03:54 2025 removing 5274276 relations and 3274276 ideals in 2000000 cliques
  261. Wed Nov 19 03:04:01 2025 commencing in-memory singleton removal
  262. Wed Nov 19 03:04:34 2025 begin with 155145710 relations and 113982732 unique ideals
  263. Wed Nov 19 03:05:49 2025 reduce to 155023354 relations and 110584026 ideals in 6 passes
  264. Wed Nov 19 03:05:49 2025 max relations containing the same ideal: 88
  265. Wed Nov 19 03:07:38 2025 removing 5280882 relations and 3280882 ideals in 2000000 cliques
  266. Wed Nov 19 03:07:45 2025 commencing in-memory singleton removal
  267. Wed Nov 19 03:08:15 2025 begin with 149742472 relations and 110584026 unique ideals
  268. Wed Nov 19 03:09:28 2025 reduce to 149615504 relations and 107174020 ideals in 6 passes
  269. Wed Nov 19 03:09:28 2025 max relations containing the same ideal: 85
  270. Wed Nov 19 03:11:14 2025 removing 5292540 relations and 3292540 ideals in 2000000 cliques
  271. Wed Nov 19 03:11:21 2025 commencing in-memory singleton removal
  272. Wed Nov 19 03:11:51 2025 begin with 144322964 relations and 107174020 unique ideals
  273. Wed Nov 19 03:13:00 2025 reduce to 144190849 relations and 103747065 ideals in 6 passes
  274. Wed Nov 19 03:13:00 2025 max relations containing the same ideal: 83
  275. Wed Nov 19 03:14:47 2025 removing 5305022 relations and 3305022 ideals in 2000000 cliques
  276. Wed Nov 19 03:14:54 2025 commencing in-memory singleton removal
  277. Wed Nov 19 03:15:23 2025 begin with 138885827 relations and 103747065 unique ideals
  278. Wed Nov 19 03:16:32 2025 reduce to 138747196 relations and 100300998 ideals in 6 passes
  279. Wed Nov 19 03:16:32 2025 max relations containing the same ideal: 81
  280. Wed Nov 19 03:18:14 2025 removing 5319238 relations and 3319238 ideals in 2000000 cliques
  281. Wed Nov 19 03:18:20 2025 commencing in-memory singleton removal
  282. Wed Nov 19 03:18:48 2025 begin with 133427958 relations and 100300998 unique ideals
  283. Wed Nov 19 03:19:51 2025 reduce to 133283978 relations and 96835176 ideals in 6 passes
  284. Wed Nov 19 03:19:51 2025 max relations containing the same ideal: 81
  285. Wed Nov 19 03:21:27 2025 removing 5341768 relations and 3341768 ideals in 2000000 cliques
  286. Wed Nov 19 03:21:33 2025 commencing in-memory singleton removal
  287. Wed Nov 19 03:22:01 2025 begin with 127942210 relations and 96835176 unique ideals
  288. Wed Nov 19 03:23:04 2025 reduce to 127791554 relations and 93340037 ideals in 6 passes
  289. Wed Nov 19 03:23:04 2025 max relations containing the same ideal: 78
  290. Wed Nov 19 03:24:41 2025 removing 5361311 relations and 3361311 ideals in 2000000 cliques
  291. Wed Nov 19 03:24:47 2025 commencing in-memory singleton removal
  292. Wed Nov 19 03:25:15 2025 begin with 122430243 relations and 93340037 unique ideals
  293. Wed Nov 19 03:26:25 2025 reduce to 122272461 relations and 89817998 ideals in 6 passes
  294. Wed Nov 19 03:26:25 2025 max relations containing the same ideal: 73
  295. Wed Nov 19 03:27:55 2025 removing 5387642 relations and 3387642 ideals in 2000000 cliques
  296. Wed Nov 19 03:28:00 2025 commencing in-memory singleton removal
  297. Wed Nov 19 03:28:24 2025 begin with 116884819 relations and 89817998 unique ideals
  298. Wed Nov 19 03:29:18 2025 reduce to 116717812 relations and 86260156 ideals in 6 passes
  299. Wed Nov 19 03:29:18 2025 max relations containing the same ideal: 70
  300. Wed Nov 19 03:30:41 2025 removing 5415131 relations and 3415131 ideals in 2000000 cliques
  301. Wed Nov 19 03:30:46 2025 commencing in-memory singleton removal
  302. Wed Nov 19 03:31:08 2025 begin with 111302681 relations and 86260156 unique ideals
  303. Wed Nov 19 03:32:00 2025 reduce to 111126149 relations and 82664951 ideals in 6 passes
  304. Wed Nov 19 03:32:00 2025 max relations containing the same ideal: 68
  305. Wed Nov 19 03:33:19 2025 removing 5448504 relations and 3448504 ideals in 2000000 cliques
  306. Wed Nov 19 03:33:24 2025 commencing in-memory singleton removal
  307. Wed Nov 19 03:33:45 2025 begin with 105677645 relations and 82664951 unique ideals
  308. Wed Nov 19 03:34:33 2025 reduce to 105489826 relations and 79024844 ideals in 6 passes
  309. Wed Nov 19 03:34:33 2025 max relations containing the same ideal: 67
  310. Wed Nov 19 03:35:50 2025 removing 5486403 relations and 3486403 ideals in 2000000 cliques
  311. Wed Nov 19 03:35:55 2025 commencing in-memory singleton removal
  312. Wed Nov 19 03:36:15 2025 begin with 100003423 relations and 79024844 unique ideals
  313. Wed Nov 19 03:37:08 2025 reduce to 99802723 relations and 75333603 ideals in 7 passes
  314. Wed Nov 19 03:37:08 2025 max relations containing the same ideal: 65
  315. Wed Nov 19 03:38:19 2025 removing 5537464 relations and 3537464 ideals in 2000000 cliques
  316. Wed Nov 19 03:38:24 2025 commencing in-memory singleton removal
  317. Wed Nov 19 03:38:43 2025 begin with 94265259 relations and 75333603 unique ideals
  318. Wed Nov 19 03:39:33 2025 reduce to 94048390 relations and 71574635 ideals in 7 passes
  319. Wed Nov 19 03:39:33 2025 max relations containing the same ideal: 64
  320. Wed Nov 19 03:40:41 2025 removing 5589905 relations and 3589905 ideals in 2000000 cliques
  321. Wed Nov 19 03:40:45 2025 commencing in-memory singleton removal
  322. Wed Nov 19 03:41:03 2025 begin with 88458485 relations and 71574635 unique ideals
  323. Wed Nov 19 03:41:49 2025 reduce to 88223881 relations and 67745136 ideals in 7 passes
  324. Wed Nov 19 03:41:49 2025 max relations containing the same ideal: 62
  325. Wed Nov 19 03:42:53 2025 removing 5650068 relations and 3650068 ideals in 2000000 cliques
  326. Wed Nov 19 03:42:57 2025 commencing in-memory singleton removal
  327. Wed Nov 19 03:43:13 2025 begin with 82573813 relations and 67745136 unique ideals
  328. Wed Nov 19 03:43:50 2025 reduce to 82316027 relations and 63831454 ideals in 6 passes
  329. Wed Nov 19 03:43:50 2025 max relations containing the same ideal: 59
  330. Wed Nov 19 03:44:50 2025 removing 5723995 relations and 3723995 ideals in 2000000 cliques
  331. Wed Nov 19 03:44:54 2025 commencing in-memory singleton removal
  332. Wed Nov 19 03:45:09 2025 begin with 76592032 relations and 63831454 unique ideals
  333. Wed Nov 19 03:45:43 2025 reduce to 76307444 relations and 59815881 ideals in 6 passes
  334. Wed Nov 19 03:45:43 2025 max relations containing the same ideal: 56
  335. Wed Nov 19 03:46:38 2025 removing 5812602 relations and 3812602 ideals in 2000000 cliques
  336. Wed Nov 19 03:46:42 2025 commencing in-memory singleton removal
  337. Wed Nov 19 03:46:56 2025 begin with 70494842 relations and 59815881 unique ideals
  338. Wed Nov 19 03:47:32 2025 reduce to 70176628 relations and 55677104 ideals in 7 passes
  339. Wed Nov 19 03:47:32 2025 max relations containing the same ideal: 51
  340. Wed Nov 19 03:48:23 2025 removing 5918136 relations and 3918136 ideals in 2000000 cliques
  341. Wed Nov 19 03:48:27 2025 commencing in-memory singleton removal
  342. Wed Nov 19 03:48:40 2025 begin with 64258492 relations and 55677104 unique ideals
  343. Wed Nov 19 03:49:14 2025 reduce to 63892777 relations and 51383580 ideals in 7 passes
  344. Wed Nov 19 03:49:14 2025 max relations containing the same ideal: 50
  345. Wed Nov 19 03:50:01 2025 removing 6047689 relations and 4047689 ideals in 2000000 cliques
  346. Wed Nov 19 03:50:04 2025 commencing in-memory singleton removal
  347. Wed Nov 19 03:50:15 2025 begin with 57845088 relations and 51383580 unique ideals
  348. Wed Nov 19 03:50:47 2025 reduce to 57419894 relations and 46898639 ideals in 8 passes
  349. Wed Nov 19 03:50:47 2025 max relations containing the same ideal: 48
  350. Wed Nov 19 03:51:29 2025 removing 6210605 relations and 4210605 ideals in 2000000 cliques
  351. Wed Nov 19 03:51:33 2025 commencing in-memory singleton removal
  352. Wed Nov 19 03:51:42 2025 begin with 51209289 relations and 46898639 unique ideals
  353. Wed Nov 19 03:52:09 2025 reduce to 50703939 relations and 42167288 ideals in 8 passes
  354. Wed Nov 19 03:52:09 2025 max relations containing the same ideal: 45
  355. Wed Nov 19 03:52:47 2025 removing 6414881 relations and 4414881 ideals in 2000000 cliques
  356. Wed Nov 19 03:52:50 2025 commencing in-memory singleton removal
  357. Wed Nov 19 03:52:58 2025 begin with 44289058 relations and 42167288 unique ideals
  358. Wed Nov 19 03:53:22 2025 reduce to 43658352 relations and 37100070 ideals in 8 passes
  359. Wed Nov 19 03:53:22 2025 max relations containing the same ideal: 41
  360. Wed Nov 19 03:53:54 2025 removing 3796201 relations and 2773436 ideals in 1022765 cliques
  361. Wed Nov 19 03:53:57 2025 commencing in-memory singleton removal
  362. Wed Nov 19 03:54:04 2025 begin with 39862151 relations and 37100070 unique ideals
  363. Wed Nov 19 03:54:27 2025 reduce to 39573347 relations and 34031883 ideals in 9 passes
  364. Wed Nov 19 03:54:27 2025 max relations containing the same ideal: 38
  365. Wed Nov 19 03:55:01 2025 relations with 0 large ideals: 216978
  366. Wed Nov 19 03:55:01 2025 relations with 1 large ideals: 1892071
  367. Wed Nov 19 03:55:01 2025 relations with 2 large ideals: 6479265
  368. Wed Nov 19 03:55:01 2025 relations with 3 large ideals: 11206638
  369. Wed Nov 19 03:55:01 2025 relations with 4 large ideals: 10870600
  370. Wed Nov 19 03:55:01 2025 relations with 5 large ideals: 6235560
  371. Wed Nov 19 03:55:01 2025 relations with 6 large ideals: 2172555
  372. Wed Nov 19 03:55:01 2025 relations with 7+ large ideals: 499680
  373. Wed Nov 19 03:55:01 2025 commencing 2-way merge
  374. Wed Nov 19 03:55:40 2025 reduce to 23928470 relation sets and 18387006 unique ideals
  375. Wed Nov 19 03:55:40 2025 commencing full merge
  376. Wed Nov 19 04:02:33 2025 memory use: 1905.8 MB
  377. Wed Nov 19 04:02:37 2025 found 11190300 cycles, need 10461206
  378. Wed Nov 19 04:02:42 2025 weight of 10461206 cycles is about 1151157086 (110.04/cycle)
  379. Wed Nov 19 04:02:43 2025 distribution of cycle lengths:
  380. Wed Nov 19 04:02:43 2025 1 relations: 702564
  381. Wed Nov 19 04:02:43 2025 2 relations: 681461
  382. Wed Nov 19 04:02:43 2025 3 relations: 742905
  383. Wed Nov 19 04:02:43 2025 4 relations: 777997
  384. Wed Nov 19 04:02:43 2025 5 relations: 824182
  385. Wed Nov 19 04:02:43 2025 6 relations: 837201
  386. Wed Nov 19 04:02:43 2025 7 relations: 844953
  387. Wed Nov 19 04:02:43 2025 8 relations: 810401
  388. Wed Nov 19 04:02:43 2025 9 relations: 766819
  389. Wed Nov 19 04:02:43 2025 10+ relations: 3472723
  390. Wed Nov 19 04:02:43 2025 heaviest cycle: 21 relations
  391. Wed Nov 19 04:02:49 2025 commencing cycle optimization
  392. Wed Nov 19 04:03:23 2025 start with 79708395 relations
  393. Wed Nov 19 04:07:15 2025 pruned 3261182 relations
  394. Wed Nov 19 04:07:16 2025 memory use: 2341.5 MB
  395. Wed Nov 19 04:07:16 2025 distribution of cycle lengths:
  396. Wed Nov 19 04:07:16 2025 1 relations: 702564
  397. Wed Nov 19 04:07:16 2025 2 relations: 700811
  398. Wed Nov 19 04:07:16 2025 3 relations: 776284
  399. Wed Nov 19 04:07:16 2025 4 relations: 815350
  400. Wed Nov 19 04:07:16 2025 5 relations: 872085
  401. Wed Nov 19 04:07:16 2025 6 relations: 887021
  402. Wed Nov 19 04:07:16 2025 7 relations: 898138
  403. Wed Nov 19 04:07:16 2025 8 relations: 857405
  404. Wed Nov 19 04:07:16 2025 9 relations: 806255
  405. Wed Nov 19 04:07:16 2025 10+ relations: 3145293
  406. Wed Nov 19 04:07:16 2025 heaviest cycle: 20 relations
  407. Wed Nov 19 04:07:39 2025 RelProcTime: 44189
  408. Wed Nov 19 04:07:43 2025 elapsed time 12:16:35
  409. Wed Nov 19 07:55:21 2025
  410. Wed Nov 19 07:55:21 2025
  411. Wed Nov 19 07:55:21 2025 Msieve v. 1.54 (SVN unknown)
  412. Wed Nov 19 07:55:21 2025 random seeds: 1d66d671 b2724894
  413. Wed Nov 19 07:55:21 2025 factoring 4307658639613441501813133870604604706570776687628232763738038043116135241617080890959064037797556008176087170259627797162766146376493717076638062080238096891350165797592604258473 (178 digits)
  414. Wed Nov 19 07:55:22 2025 no P-1/P+1/ECM available, skipping
  415. Wed Nov 19 07:55:22 2025 commencing number field sieve (178-digit input)
  416. Wed Nov 19 07:55:22 2025 R0: -27062993979893454112678782428860310
  417. Wed Nov 19 07:55:22 2025 R1: 508841235714023170760296079
  418. Wed Nov 19 07:55:22 2025 A0: 681607303048425907924794631349875948554
  419. Wed Nov 19 07:55:22 2025 A1: 1552445711379115108747626320629313
  420. Wed Nov 19 07:55:22 2025 A2: -1365312675649686841087552782
  421. Wed Nov 19 07:55:22 2025 A3: -800997705809250155117
  422. Wed Nov 19 07:55:22 2025 A4: 147818165524944
  423. Wed Nov 19 07:55:22 2025 A5: 1073520
  424. Wed Nov 19 07:55:22 2025 skew 2253170.19, size 3.764e-17, alpha -7.023, combined = 1.636e-13 rroots = 5
  425. Wed Nov 19 07:55:22 2025
  426. Wed Nov 19 07:55:22 2025 commencing linear algebra
  427. Wed Nov 19 07:55:22 2025 using VBITS=256
  428. Wed Nov 19 07:55:25 2025 read 10461206 cycles
  429. Wed Nov 19 07:55:59 2025 cycles contain 36583170 unique relations
  430. Wed Nov 19 08:04:38 2025 read 36583170 relations
  431. Wed Nov 19 08:06:19 2025 using 20 quadratic characters above 4294917295
  432. Wed Nov 19 08:10:26 2025 building initial matrix
  433. Wed Nov 19 08:23:54 2025 memory use: 5161.4 MB
  434. Wed Nov 19 08:24:04 2025 read 10461206 cycles
  435. Wed Nov 19 08:24:06 2025 matrix is 10460950 x 10461206 (4581.0 MB) with weight 1400806211 (133.90/col)
  436. Wed Nov 19 08:24:06 2025 sparse part has weight 1075339884 (102.79/col)
  437. Wed Nov 19 08:29:01 2025 filtering completed in 3 passes
  438. Wed Nov 19 08:29:04 2025 matrix is 10455341 x 10455541 (4580.0 MB) with weight 1400441539 (133.94/col)
  439. Wed Nov 19 08:29:04 2025 sparse part has weight 1075151719 (102.83/col)
  440. Wed Nov 19 08:29:54 2025 matrix starts at (0, 0)
  441. Wed Nov 19 08:29:57 2025 matrix is 10455341 x 10455541 (4580.0 MB) with weight 1400441539 (133.94/col)
  442. Wed Nov 19 08:29:57 2025 sparse part has weight 1075151719 (102.83/col)
  443. Wed Nov 19 08:29:57 2025 saving the first 240 matrix rows for later
  444. Wed Nov 19 08:30:01 2025 matrix includes 256 packed rows
  445. Wed Nov 19 08:30:07 2025 matrix is 10455101 x 10455541 (4162.7 MB) with weight 983441931 (94.06/col)
  446. Wed Nov 19 08:30:07 2025 sparse part has weight 923932676 (88.37/col)
  447. Wed Nov 19 08:30:07 2025 using GPU 1 (Tesla P4)
  448. Wed Nov 19 08:30:07 2025 selected card has CUDA arch 6.1
  449. Wed Nov 19 08:31:40 2025
  450. Wed Nov 19 08:31:40 2025
  451. Wed Nov 19 08:31:40 2025 Msieve v. 1.54 (SVN unknown)
  452. Wed Nov 19 08:31:40 2025 random seeds: bdc00b7c 4d40faec
  453. Wed Nov 19 08:31:40 2025 factoring 4307658639613441501813133870604604706570776687628232763738038043116135241617080890959064037797556008176087170259627797162766146376493717076638062080238096891350165797592604258473 (178 digits)
  454. Wed Nov 19 08:31:42 2025 no P-1/P+1/ECM available, skipping
  455. Wed Nov 19 08:31:42 2025 commencing number field sieve (178-digit input)
  456. Wed Nov 19 08:31:42 2025 R0: -27062993979893454112678782428860310
  457. Wed Nov 19 08:31:42 2025 R1: 508841235714023170760296079
  458. Wed Nov 19 08:31:42 2025 A0: 681607303048425907924794631349875948554
  459. Wed Nov 19 08:31:42 2025 A1: 1552445711379115108747626320629313
  460. Wed Nov 19 08:31:42 2025 A2: -1365312675649686841087552782
  461. Wed Nov 19 08:31:42 2025 A3: -800997705809250155117
  462. Wed Nov 19 08:31:42 2025 A4: 147818165524944
  463. Wed Nov 19 08:31:42 2025 A5: 1073520
  464. Wed Nov 19 08:31:42 2025 skew 2253170.19, size 3.764e-17, alpha -7.023, combined = 1.636e-13 rroots = 5
  465. Wed Nov 19 08:31:42 2025
  466. Wed Nov 19 08:31:42 2025 commencing linear algebra
  467. Wed Nov 19 08:31:42 2025 using VBITS=256
  468. Wed Nov 19 08:31:49 2025 matrix starts at (0, 0)
  469. Wed Nov 19 08:31:53 2025 matrix is 10455341 x 10455541 (4580.0 MB) with weight 1400441539 (133.94/col)
  470. Wed Nov 19 08:31:53 2025 sparse part has weight 1075151719 (102.83/col)
  471. Wed Nov 19 08:31:53 2025 saving the first 240 matrix rows for later
  472. Wed Nov 19 08:32:01 2025 matrix includes 256 packed rows
  473. Wed Nov 19 08:32:07 2025 matrix is 10455101 x 10455541 (4162.7 MB) with weight 983441931 (94.06/col)
  474. Wed Nov 19 08:32:07 2025 sparse part has weight 923932676 (88.37/col)
  475. Wed Nov 19 08:32:08 2025 using GPU 1 (Tesla P4)
  476. Wed Nov 19 08:32:08 2025 selected card has CUDA arch 6.1
  477. Wed Nov 19 08:34:42 2025 commencing Lanczos iteration
  478. Wed Nov 19 08:34:44 2025 memory use: 9681.4 MB
  479. Wed Nov 19 08:35:31 2025
  480. Wed Nov 19 08:35:31 2025
  481. Wed Nov 19 08:35:31 2025 Msieve v. 1.54 (SVN unknown)
  482. Wed Nov 19 08:35:31 2025 random seeds: 90c9d1df 8f31c75c
  483. Wed Nov 19 08:35:31 2025 factoring 4307658639613441501813133870604604706570776687628232763738038043116135241617080890959064037797556008176087170259627797162766146376493717076638062080238096891350165797592604258473 (178 digits)
  484. Wed Nov 19 08:35:32 2025 no P-1/P+1/ECM available, skipping
  485. Wed Nov 19 08:35:32 2025 commencing number field sieve (178-digit input)
  486. Wed Nov 19 08:35:32 2025 R0: -27062993979893454112678782428860310
  487. Wed Nov 19 08:35:32 2025 R1: 508841235714023170760296079
  488. Wed Nov 19 08:35:32 2025 A0: 681607303048425907924794631349875948554
  489. Wed Nov 19 08:35:32 2025 A1: 1552445711379115108747626320629313
  490. Wed Nov 19 08:35:32 2025 A2: -1365312675649686841087552782
  491. Wed Nov 19 08:35:32 2025 A3: -800997705809250155117
  492. Wed Nov 19 08:35:32 2025 A4: 147818165524944
  493. Wed Nov 19 08:35:32 2025 A5: 1073520
  494. Wed Nov 19 08:35:32 2025 skew 2253170.19, size 3.764e-17, alpha -7.023, combined = 1.636e-13 rroots = 5
  495. Wed Nov 19 08:35:32 2025
  496. Wed Nov 19 08:35:32 2025 commencing linear algebra
  497. Wed Nov 19 08:35:32 2025 using VBITS=256
  498. Wed Nov 19 08:35:32 2025 skipping matrix build
  499. Wed Nov 19 08:35:39 2025 matrix starts at (0, 0)
  500. Wed Nov 19 08:35:41 2025 matrix is 10455341 x 10455541 (4580.0 MB) with weight 1400441539 (133.94/col)
  501. Wed Nov 19 08:35:41 2025 sparse part has weight 1075151719 (102.83/col)
  502. Wed Nov 19 08:35:41 2025 saving the first 240 matrix rows for later
  503. Wed Nov 19 08:35:45 2025 matrix includes 256 packed rows
  504. Wed Nov 19 08:35:51 2025 matrix is 10455101 x 10455541 (4162.7 MB) with weight 983441931 (94.06/col)
  505. Wed Nov 19 08:35:51 2025 sparse part has weight 923932676 (88.37/col)
  506. Wed Nov 19 08:35:51 2025 using GPU 1 (Tesla P4)
  507. Wed Nov 19 08:35:51 2025 selected card has CUDA arch 6.1
  508. Wed Nov 19 08:38:50 2025 commencing Lanczos iteration
  509. Wed Nov 19 08:38:53 2025 memory use: 9681.4 MB
  510. Wed Nov 19 08:44:08 2025 linear algebra at 0.3%, ETA 29h24m
  511. Wed Nov 19 08:51:56 2025 checking every 10000 dimensions, checkpointing every 360000 dimensions
  512. Wed Nov 19 22:21:58 2025 error: corrupt state, please restart from checkpoint
  513. Wed Nov 19 22:22:29 2025
  514. Wed Nov 19 22:22:29 2025
  515. Wed Nov 19 22:22:29 2025 Msieve v. 1.54 (SVN unknown)
  516. Wed Nov 19 22:22:29 2025 random seeds: f92a4a36 3f3cc3d5
  517. Wed Nov 19 22:22:29 2025 factoring 4307658639613441501813133870604604706570776687628232763738038043116135241617080890959064037797556008176087170259627797162766146376493717076638062080238096891350165797592604258473 (178 digits)
  518. Wed Nov 19 22:22:30 2025 no P-1/P+1/ECM available, skipping
  519. Wed Nov 19 22:22:30 2025 commencing number field sieve (178-digit input)
  520. Wed Nov 19 22:22:30 2025 R0: -27062993979893454112678782428860310
  521. Wed Nov 19 22:22:30 2025 R1: 508841235714023170760296079
  522. Wed Nov 19 22:22:30 2025 A0: 681607303048425907924794631349875948554
  523. Wed Nov 19 22:22:30 2025 A1: 1552445711379115108747626320629313
  524. Wed Nov 19 22:22:30 2025 A2: -1365312675649686841087552782
  525. Wed Nov 19 22:22:30 2025 A3: -800997705809250155117
  526. Wed Nov 19 22:22:30 2025 A4: 147818165524944
  527. Wed Nov 19 22:22:30 2025 A5: 1073520
  528. Wed Nov 19 22:22:30 2025 skew 2253170.19, size 3.764e-17, alpha -7.023, combined = 1.636e-13 rroots = 5
  529. Wed Nov 19 22:22:30 2025
  530. Wed Nov 19 22:22:30 2025 commencing linear algebra
  531. Wed Nov 19 22:22:30 2025 using VBITS=256
  532. Wed Nov 19 22:22:37 2025 matrix starts at (0, 0)
  533. Wed Nov 19 22:22:40 2025 matrix is 10455341 x 10455541 (4580.0 MB) with weight 1400441539 (133.94/col)
  534. Wed Nov 19 22:22:40 2025 sparse part has weight 1075151719 (102.83/col)
  535. Wed Nov 19 22:22:40 2025 saving the first 240 matrix rows for later
  536. Wed Nov 19 22:22:46 2025 matrix includes 256 packed rows
  537. Wed Nov 19 22:22:52 2025 matrix is 10455101 x 10455541 (4162.7 MB) with weight 983441931 (94.06/col)
  538. Wed Nov 19 22:22:52 2025 sparse part has weight 923932676 (88.37/col)
  539. Wed Nov 19 22:22:52 2025 using GPU 1 (Tesla P4)
  540. Wed Nov 19 22:22:52 2025 selected card has CUDA arch 6.1
  541. Wed Nov 19 22:24:49 2025 commencing Lanczos iteration
  542. Wed Nov 19 22:24:51 2025 memory use: 9681.4 MB
  543. Wed Nov 19 22:24:52 2025 restarting at iteration 18337 (dim = 4680128)
  544. Wed Nov 19 22:25:42 2025 checking every 10000 dimensions, checkpointing every 350000 dimensions
  545. Wed Nov 19 22:30:03 2025 linear algebra at 45.1%, ETA 16h12m
  546. Thu Nov 20 14:37:46 2025 lanczos halted after 40965 iterations (dim = 10455100)
  547. Thu Nov 20 14:38:40 2025 recovered 30 nontrivial dependencies
  548. Thu Nov 20 14:38:41 2025 BLanczosTime: 58571
  549. Thu Nov 20 14:38:41 2025
  550. Thu Nov 20 14:38:41 2025 commencing square root phase
  551. Thu Nov 20 14:38:41 2025 handling dependencies 1 to 64
  552. Thu Nov 20 14:38:41 2025 reading relations for dependency 1
  553. Thu Nov 20 14:38:44 2025 read 5227309 cycles
  554. Thu Nov 20 14:38:55 2025 cycles contain 18283048 unique relations
  555. Thu Nov 20 14:42:00 2025 read 18283048 relations
  556. Thu Nov 20 14:44:19 2025 multiplying 18283048 relations
  557. Thu Nov 20 15:20:39 2025 multiply complete, coefficients have about 1118.70 million bits
  558. Thu Nov 20 15:20:49 2025 initial square root is modulo 104311
  559. Thu Nov 20 15:49:22 2025 GCD is 1, no factor found
  560. Thu Nov 20 15:49:22 2025 reading relations for dependency 2
  561. Thu Nov 20 15:49:25 2025 read 5226662 cycles
  562. Thu Nov 20 15:49:36 2025 cycles contain 18287956 unique relations
  563. Thu Nov 20 15:53:06 2025 read 18287956 relations
  564. Thu Nov 20 15:55:22 2025 multiplying 18287956 relations
  565. Thu Nov 20 16:26:21 2025 multiply complete, coefficients have about 1119.00 million bits
  566. Thu Nov 20 16:26:34 2025 initial square root is modulo 104659
  567. Thu Nov 20 17:09:40 2025 GCD is N, no factor found
  568. Thu Nov 20 17:09:40 2025 reading relations for dependency 3
  569. Thu Nov 20 17:09:46 2025 read 5224141 cycles
  570. Thu Nov 20 17:10:04 2025 cycles contain 18278850 unique relations
  571. Thu Nov 20 17:13:47 2025 read 18278850 relations
  572. Thu Nov 20 17:15:54 2025 multiplying 18278850 relations
  573. Thu Nov 20 17:42:01 2025 multiply complete, coefficients have about 1118.45 million bits
  574. Thu Nov 20 17:42:10 2025 initial square root is modulo 104021
  575. Thu Nov 20 18:09:45 2025 GCD is 1, no factor found
  576. Thu Nov 20 18:09:45 2025 reading relations for dependency 4
  577. Thu Nov 20 18:09:48 2025 read 5227241 cycles
  578. Thu Nov 20 18:10:00 2025 cycles contain 18292634 unique relations
  579. Thu Nov 20 18:13:48 2025 read 18292634 relations
  580. Thu Nov 20 18:16:04 2025 multiplying 18292634 relations
  581. Thu Nov 20 18:44:57 2025 multiply complete, coefficients have about 1119.28 million bits
  582. Thu Nov 20 18:45:09 2025 initial square root is modulo 104947
  583. Thu Nov 20 19:12:47 2025 GCD is 1, no factor found
  584. Thu Nov 20 19:12:47 2025 reading relations for dependency 5
  585. Thu Nov 20 19:12:50 2025 read 5224176 cycles
  586. Thu Nov 20 19:13:02 2025 cycles contain 18282894 unique relations
  587. Thu Nov 20 19:16:06 2025 read 18282894 relations
  588. Thu Nov 20 19:18:16 2025 multiplying 18282894 relations
  589. Thu Nov 20 19:45:26 2025 multiply complete, coefficients have about 1118.68 million bits
  590. Thu Nov 20 19:45:35 2025 initial square root is modulo 104311
  591. Thu Nov 20 20:21:27 2025 sqrtTime: 20566
  592. Thu Nov 20 20:21:27 2025 p76 factor: 1301946478483409128594417343674307699638970701016238448756655487113679598993
  593. Thu Nov 20 20:21:27 2025 p103 factor: 3308629587163428507881223433606842072239859842261394767778113118758075184588548852461818453695753854361
  594. Thu Nov 20 20:21:27 2025 elapsed time 21:58:58
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