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Oct 1st, 2025
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  1. Sun Sep 14 17:42:05 2025
  2. Sun Sep 14 17:42:05 2025
  3. Sun Sep 14 17:42:05 2025 Msieve v. 1.54 (SVN unknown)
  4. Sun Sep 14 17:42:05 2025 random seeds: 320c2cd3 01b24aed
  5. Sun Sep 14 17:42:05 2025 factoring 49026468318179744080794659162858674412839322772180794670660797658620140398532849656384451014894321860781725179272315108055522613049013944965384651521870166731749898306589800656311581 (182 digits)
  6. Sun Sep 14 17:42:06 2025 no P-1/P+1/ECM available, skipping
  7. Sun Sep 14 17:42:06 2025 commencing number field sieve (182-digit input)
  8. Sun Sep 14 17:42:06 2025 R0: 99831348060216498354562944094753513
  9. Sun Sep 14 17:42:06 2025 R1: 5724093143810435298203191957
  10. Sun Sep 14 17:42:06 2025 A0: 5377471605750436479822715185277739177198928
  11. Sun Sep 14 17:42:06 2025 A1: -184704921344538420213750739411217598
  12. Sun Sep 14 17:42:06 2025 A2: -116504155544777266665889816213
  13. Sun Sep 14 17:42:06 2025 A3: -1391200823721856416278
  14. Sun Sep 14 17:42:06 2025 A4: 309639038565714
  15. Sun Sep 14 17:42:06 2025 A5: 750960
  16. Sun Sep 14 17:42:06 2025 skew 16331387.38, size 1.170e-17, alpha -7.233, combined = 7.728e-14 rroots = 5
  17. Sun Sep 14 17:42:06 2025
  18. Sun Sep 14 17:42:06 2025 commencing relation filtering
  19. Sun Sep 14 17:42:06 2025 setting target matrix density to 110.0
  20. Sun Sep 14 17:42:06 2025 estimated available RAM is 128741.5 MB
  21. Sun Sep 14 17:42:06 2025 commencing duplicate removal, pass 1
  22. Sun Sep 14 18:15:17 2025 error -6 reading relation 186405730
  23. Sun Sep 14 18:43:40 2025 error -15 reading relation 346233738
  24. Sun Sep 14 19:07:01 2025 error -15 reading relation 477359956
  25. Sun Sep 14 19:54:27 2025 skipped 1 relations with composite factors
  26. Sun Sep 14 19:54:27 2025 skipped 2 malformed relations
  27. Sun Sep 14 19:54:27 2025 found 37163631 hash collisions in 743835103 relations
  28. Sun Sep 14 19:55:00 2025 added 121660 free relations
  29. Sun Sep 14 19:55:00 2025 commencing duplicate removal, pass 2
  30. Sun Sep 14 20:04:06 2025 found 8380714 duplicates and 735576049 unique relations
  31. Sun Sep 14 20:04:06 2025 memory use: 2217.5 MB
  32. Sun Sep 14 20:04:06 2025 reading ideals above 317915136
  33. Sun Sep 14 20:04:06 2025 commencing singleton removal, initial pass
  34. Sun Sep 14 21:53:13 2025 memory use: 11024.0 MB
  35. Sun Sep 14 21:53:15 2025 reading all ideals from disk
  36. Sun Sep 14 21:54:48 2025 memory use: 18974.6 MB
  37. Sun Sep 14 21:55:54 2025 commencing in-memory singleton removal
  38. Sun Sep 14 21:58:04 2025 begin with 735576049 relations and 587762874 unique ideals
  39. Sun Sep 14 22:07:20 2025 reduce to 493650479 relations and 323917278 ideals in 13 passes
  40. Sun Sep 14 22:07:20 2025 max relations containing the same ideal: 38
  41. Sun Sep 14 22:08:08 2025 reading ideals above 720000
  42. Sun Sep 14 22:08:09 2025 commencing singleton removal, initial pass
  43. Sun Sep 14 23:44:16 2025 memory use: 11024.0 MB
  44. Sun Sep 14 23:44:17 2025 reading all ideals from disk
  45. Sun Sep 14 23:46:14 2025 memory use: 24144.0 MB
  46. Sun Sep 14 23:48:08 2025 keeping 355677362 ideals with weight <= 200, target excess is 2579242
  47. Sun Sep 14 23:49:53 2025 commencing in-memory singleton removal
  48. Sun Sep 14 23:52:27 2025 begin with 493650479 relations and 355677362 unique ideals
  49. Sun Sep 14 23:56:31 2025 reduce to 493649783 relations and 355676666 ideals in 6 passes
  50. Sun Sep 14 23:56:31 2025 max relations containing the same ideal: 200
  51. Mon Sep 15 00:02:34 2025 removing 12305971 relations and 10305971 ideals in 2000000 cliques
  52. Mon Sep 15 00:02:50 2025 commencing in-memory singleton removal
  53. Mon Sep 15 00:05:16 2025 begin with 481343812 relations and 355676666 unique ideals
  54. Mon Sep 15 00:09:49 2025 reduce to 481130146 relations and 345155811 ideals in 7 passes
  55. Mon Sep 15 00:09:49 2025 max relations containing the same ideal: 200
  56. Mon Sep 15 00:15:49 2025 removing 9389834 relations and 7389834 ideals in 2000000 cliques
  57. Mon Sep 15 00:16:10 2025 commencing in-memory singleton removal
  58. Mon Sep 15 00:18:29 2025 begin with 471740312 relations and 345155811 unique ideals
  59. Mon Sep 15 00:22:55 2025 reduce to 471599268 relations and 337624235 ideals in 7 passes
  60. Mon Sep 15 00:22:55 2025 max relations containing the same ideal: 200
  61. Mon Sep 15 00:28:24 2025 removing 8441120 relations and 6441120 ideals in 2000000 cliques
  62. Mon Sep 15 00:28:39 2025 commencing in-memory singleton removal
  63. Mon Sep 15 00:30:54 2025 begin with 463158148 relations and 337624235 unique ideals
  64. Mon Sep 15 00:35:44 2025 reduce to 463036451 relations and 331060876 ideals in 8 passes
  65. Mon Sep 15 00:35:44 2025 max relations containing the same ideal: 200
  66. Mon Sep 15 00:41:12 2025 removing 7892318 relations and 5892318 ideals in 2000000 cliques
  67. Mon Sep 15 00:41:26 2025 commencing in-memory singleton removal
  68. Mon Sep 15 00:43:39 2025 begin with 455144133 relations and 331060876 unique ideals
  69. Mon Sep 15 00:47:12 2025 reduce to 455033415 relations and 325057298 ideals in 6 passes
  70. Mon Sep 15 00:47:12 2025 max relations containing the same ideal: 197
  71. Mon Sep 15 00:52:30 2025 removing 7521771 relations and 5521771 ideals in 2000000 cliques
  72. Mon Sep 15 00:52:43 2025 commencing in-memory singleton removal
  73. Mon Sep 15 00:54:58 2025 begin with 447511644 relations and 325057298 unique ideals
  74. Mon Sep 15 00:59:04 2025 reduce to 447408471 relations and 319431871 ideals in 7 passes
  75. Mon Sep 15 00:59:04 2025 max relations containing the same ideal: 196
  76. Mon Sep 15 01:04:16 2025 removing 7251820 relations and 5251820 ideals in 2000000 cliques
  77. Mon Sep 15 01:04:30 2025 commencing in-memory singleton removal
  78. Mon Sep 15 01:06:37 2025 begin with 440156651 relations and 319431871 unique ideals
  79. Mon Sep 15 01:10:06 2025 reduce to 440059021 relations and 314081962 ideals in 6 passes
  80. Mon Sep 15 01:10:06 2025 max relations containing the same ideal: 195
  81. Mon Sep 15 01:15:15 2025 removing 7045546 relations and 5045546 ideals in 2000000 cliques
  82. Mon Sep 15 01:15:29 2025 commencing in-memory singleton removal
  83. Mon Sep 15 01:17:35 2025 begin with 433013475 relations and 314081962 unique ideals
  84. Mon Sep 15 01:20:26 2025 reduce to 432919301 relations and 308941774 ideals in 5 passes
  85. Mon Sep 15 01:20:26 2025 max relations containing the same ideal: 193
  86. Mon Sep 15 01:25:34 2025 removing 6875430 relations and 4875430 ideals in 2000000 cliques
  87. Mon Sep 15 01:25:47 2025 commencing in-memory singleton removal
  88. Mon Sep 15 01:27:46 2025 begin with 426043871 relations and 308941774 unique ideals
  89. Mon Sep 15 01:31:00 2025 reduce to 425952773 relations and 303974775 ideals in 6 passes
  90. Mon Sep 15 01:31:00 2025 max relations containing the same ideal: 192
  91. Mon Sep 15 01:35:31 2025 removing 6738508 relations and 4738508 ideals in 2000000 cliques
  92. Mon Sep 15 01:35:44 2025 commencing in-memory singleton removal
  93. Mon Sep 15 01:37:40 2025 begin with 419214265 relations and 303974775 unique ideals
  94. Mon Sep 15 01:40:49 2025 reduce to 419124640 relations and 299146186 ideals in 6 passes
  95. Mon Sep 15 01:40:49 2025 max relations containing the same ideal: 192
  96. Mon Sep 15 01:45:14 2025 removing 6627321 relations and 4627321 ideals in 2000000 cliques
  97. Mon Sep 15 01:45:27 2025 commencing in-memory singleton removal
  98. Mon Sep 15 01:47:21 2025 begin with 412497319 relations and 299146186 unique ideals
  99. Mon Sep 15 01:50:58 2025 reduce to 412408345 relations and 294429415 ideals in 7 passes
  100. Mon Sep 15 01:50:58 2025 max relations containing the same ideal: 191
  101. Mon Sep 15 01:59:35 2025 removing 6527397 relations and 4527397 ideals in 2000000 cliques
  102. Mon Sep 15 01:59:54 2025 commencing in-memory singleton removal
  103. Mon Sep 15 02:03:06 2025 begin with 405880948 relations and 294429415 unique ideals
  104. Mon Sep 15 02:10:49 2025 reduce to 405795560 relations and 289816138 ideals in 6 passes
  105. Mon Sep 15 02:10:49 2025 max relations containing the same ideal: 189
  106. Mon Sep 15 02:19:27 2025 removing 6441172 relations and 4441172 ideals in 2000000 cliques
  107. Mon Sep 15 02:19:45 2025 commencing in-memory singleton removal
  108. Mon Sep 15 02:22:45 2025 begin with 399354388 relations and 289816138 unique ideals
  109. Mon Sep 15 02:30:26 2025 reduce to 399269131 relations and 285289225 ideals in 6 passes
  110. Mon Sep 15 02:30:26 2025 max relations containing the same ideal: 187
  111. Mon Sep 15 02:38:53 2025 removing 6369872 relations and 4369872 ideals in 2000000 cliques
  112. Mon Sep 15 02:39:11 2025 commencing in-memory singleton removal
  113. Mon Sep 15 02:42:01 2025 begin with 392899259 relations and 285289225 unique ideals
  114. Mon Sep 15 02:47:36 2025 reduce to 392814845 relations and 280834414 ideals in 6 passes
  115. Mon Sep 15 02:47:36 2025 max relations containing the same ideal: 184
  116. Mon Sep 15 02:52:44 2025 removing 6306528 relations and 4306528 ideals in 2000000 cliques
  117. Mon Sep 15 02:52:56 2025 commencing in-memory singleton removal
  118. Mon Sep 15 02:54:48 2025 begin with 386508317 relations and 280834414 unique ideals
  119. Mon Sep 15 02:58:24 2025 reduce to 386424243 relations and 276443272 ideals in 6 passes
  120. Mon Sep 15 02:58:24 2025 max relations containing the same ideal: 183
  121. Mon Sep 15 03:03:33 2025 removing 6245463 relations and 4245463 ideals in 2000000 cliques
  122. Mon Sep 15 03:03:45 2025 commencing in-memory singleton removal
  123. Mon Sep 15 03:05:48 2025 begin with 380178780 relations and 276443272 unique ideals
  124. Mon Sep 15 03:09:05 2025 reduce to 380095167 relations and 272113646 ideals in 6 passes
  125. Mon Sep 15 03:09:05 2025 max relations containing the same ideal: 180
  126. Mon Sep 15 03:15:48 2025 removing 6188894 relations and 4188894 ideals in 2000000 cliques
  127. Mon Sep 15 03:16:02 2025 commencing in-memory singleton removal
  128. Mon Sep 15 03:18:33 2025 begin with 373906273 relations and 272113646 unique ideals
  129. Mon Sep 15 03:23:42 2025 reduce to 373822095 relations and 267839999 ideals in 5 passes
  130. Mon Sep 15 03:23:42 2025 max relations containing the same ideal: 178
  131. Mon Sep 15 03:30:52 2025 removing 6146693 relations and 4146693 ideals in 2000000 cliques
  132. Mon Sep 15 03:31:08 2025 commencing in-memory singleton removal
  133. Mon Sep 15 03:33:36 2025 begin with 367675402 relations and 267839999 unique ideals
  134. Mon Sep 15 03:37:53 2025 reduce to 367591635 relations and 263608909 ideals in 5 passes
  135. Mon Sep 15 03:37:53 2025 max relations containing the same ideal: 176
  136. Mon Sep 15 03:43:57 2025 removing 6103538 relations and 4103538 ideals in 2000000 cliques
  137. Mon Sep 15 03:44:12 2025 commencing in-memory singleton removal
  138. Mon Sep 15 03:46:19 2025 begin with 361488097 relations and 263608909 unique ideals
  139. Mon Sep 15 03:50:15 2025 reduce to 361404208 relations and 259420916 ideals in 5 passes
  140. Mon Sep 15 03:50:15 2025 max relations containing the same ideal: 176
  141. Mon Sep 15 03:55:46 2025 removing 6067201 relations and 4067201 ideals in 2000000 cliques
  142. Mon Sep 15 03:56:00 2025 commencing in-memory singleton removal
  143. Mon Sep 15 03:57:52 2025 begin with 355337007 relations and 259420916 unique ideals
  144. Mon Sep 15 04:02:13 2025 reduce to 355253199 relations and 255269290 ideals in 6 passes
  145. Mon Sep 15 04:02:13 2025 max relations containing the same ideal: 174
  146. Mon Sep 15 04:07:59 2025 removing 6030554 relations and 4030554 ideals in 2000000 cliques
  147. Mon Sep 15 04:08:13 2025 commencing in-memory singleton removal
  148. Mon Sep 15 04:10:17 2025 begin with 349222645 relations and 255269290 unique ideals
  149. Mon Sep 15 04:15:16 2025 reduce to 349138613 relations and 251154017 ideals in 6 passes
  150. Mon Sep 15 04:15:16 2025 max relations containing the same ideal: 173
  151. Mon Sep 15 04:21:28 2025 removing 5997701 relations and 3997701 ideals in 2000000 cliques
  152. Mon Sep 15 04:21:42 2025 commencing in-memory singleton removal
  153. Mon Sep 15 04:23:47 2025 begin with 343140912 relations and 251154017 unique ideals
  154. Mon Sep 15 04:27:48 2025 reduce to 343056028 relations and 247070748 ideals in 5 passes
  155. Mon Sep 15 04:27:48 2025 max relations containing the same ideal: 172
  156. Mon Sep 15 04:33:29 2025 removing 5968138 relations and 3968138 ideals in 2000000 cliques
  157. Mon Sep 15 04:33:43 2025 commencing in-memory singleton removal
  158. Mon Sep 15 04:35:41 2025 begin with 337087890 relations and 247070748 unique ideals
  159. Mon Sep 15 04:39:30 2025 reduce to 337002615 relations and 243016556 ideals in 5 passes
  160. Mon Sep 15 04:39:30 2025 max relations containing the same ideal: 170
  161. Mon Sep 15 04:43:53 2025 removing 5941481 relations and 3941481 ideals in 2000000 cliques
  162. Mon Sep 15 04:44:04 2025 commencing in-memory singleton removal
  163. Mon Sep 15 04:45:49 2025 begin with 331061134 relations and 243016556 unique ideals
  164. Mon Sep 15 04:48:09 2025 reduce to 330974798 relations and 238987990 ideals in 5 passes
  165. Mon Sep 15 04:48:09 2025 max relations containing the same ideal: 166
  166. Mon Sep 15 04:52:56 2025 removing 5918560 relations and 3918560 ideals in 2000000 cliques
  167. Mon Sep 15 04:53:10 2025 commencing in-memory singleton removal
  168. Mon Sep 15 04:54:53 2025 begin with 325056238 relations and 238987990 unique ideals
  169. Mon Sep 15 04:59:03 2025 reduce to 324969570 relations and 234981991 ideals in 6 passes
  170. Mon Sep 15 04:59:03 2025 max relations containing the same ideal: 163
  171. Mon Sep 15 05:03:50 2025 removing 5895565 relations and 3895565 ideals in 2000000 cliques
  172. Mon Sep 15 05:04:01 2025 commencing in-memory singleton removal
  173. Mon Sep 15 05:05:54 2025 begin with 319074005 relations and 234981991 unique ideals
  174. Mon Sep 15 05:10:08 2025 reduce to 318986443 relations and 230998070 ideals in 6 passes
  175. Mon Sep 15 05:10:08 2025 max relations containing the same ideal: 161
  176. Mon Sep 15 05:15:38 2025 removing 5874954 relations and 3874954 ideals in 2000000 cliques
  177. Mon Sep 15 05:15:51 2025 commencing in-memory singleton removal
  178. Mon Sep 15 05:17:46 2025 begin with 313111489 relations and 230998070 unique ideals
  179. Mon Sep 15 05:20:21 2025 reduce to 313022698 relations and 227033453 ideals in 5 passes
  180. Mon Sep 15 05:20:21 2025 max relations containing the same ideal: 160
  181. Mon Sep 15 05:25:02 2025 removing 5856148 relations and 3856148 ideals in 2000000 cliques
  182. Mon Sep 15 05:25:13 2025 commencing in-memory singleton removal
  183. Mon Sep 15 05:27:04 2025 begin with 307166550 relations and 227033453 unique ideals
  184. Mon Sep 15 05:29:35 2025 reduce to 307077028 relations and 223086934 ideals in 5 passes
  185. Mon Sep 15 05:29:35 2025 max relations containing the same ideal: 157
  186. Mon Sep 15 05:34:15 2025 removing 5839220 relations and 3839220 ideals in 2000000 cliques
  187. Mon Sep 15 05:34:28 2025 commencing in-memory singleton removal
  188. Mon Sep 15 05:36:16 2025 begin with 301237808 relations and 223086934 unique ideals
  189. Mon Sep 15 05:40:19 2025 reduce to 301146869 relations and 219155883 ideals in 6 passes
  190. Mon Sep 15 05:40:19 2025 max relations containing the same ideal: 157
  191. Mon Sep 15 05:44:24 2025 removing 5822113 relations and 3822113 ideals in 2000000 cliques
  192. Mon Sep 15 05:44:35 2025 commencing in-memory singleton removal
  193. Mon Sep 15 05:46:11 2025 begin with 295324756 relations and 219155883 unique ideals
  194. Mon Sep 15 05:50:21 2025 reduce to 295233066 relations and 215241153 ideals in 6 passes
  195. Mon Sep 15 05:50:21 2025 max relations containing the same ideal: 157
  196. Mon Sep 15 05:55:24 2025 removing 5812860 relations and 3812860 ideals in 2000000 cliques
  197. Mon Sep 15 05:55:37 2025 commencing in-memory singleton removal
  198. Mon Sep 15 05:57:08 2025 begin with 289420206 relations and 215241153 unique ideals
  199. Mon Sep 15 06:00:03 2025 reduce to 289327550 relations and 211334676 ideals in 5 passes
  200. Mon Sep 15 06:00:03 2025 max relations containing the same ideal: 156
  201. Mon Sep 15 06:04:21 2025 removing 5800192 relations and 3800192 ideals in 2000000 cliques
  202. Mon Sep 15 06:04:33 2025 commencing in-memory singleton removal
  203. Mon Sep 15 06:06:04 2025 begin with 283527358 relations and 211334676 unique ideals
  204. Mon Sep 15 06:07:58 2025 reduce to 283433356 relations and 207439441 ideals in 5 passes
  205. Mon Sep 15 06:07:58 2025 max relations containing the same ideal: 154
  206. Mon Sep 15 06:12:38 2025 removing 5788446 relations and 3788446 ideals in 2000000 cliques
  207. Mon Sep 15 06:12:50 2025 commencing in-memory singleton removal
  208. Mon Sep 15 06:14:20 2025 begin with 277644910 relations and 207439441 unique ideals
  209. Mon Sep 15 06:17:13 2025 reduce to 277549267 relations and 203554260 ideals in 5 passes
  210. Mon Sep 15 06:17:13 2025 max relations containing the same ideal: 152
  211. Mon Sep 15 06:21:19 2025 removing 5778528 relations and 3778528 ideals in 2000000 cliques
  212. Mon Sep 15 06:21:28 2025 commencing in-memory singleton removal
  213. Mon Sep 15 06:22:53 2025 begin with 271770739 relations and 203554260 unique ideals
  214. Mon Sep 15 06:25:25 2025 reduce to 271674227 relations and 199678140 ideals in 5 passes
  215. Mon Sep 15 06:25:25 2025 max relations containing the same ideal: 148
  216. Mon Sep 15 06:29:02 2025 removing 5772084 relations and 3772084 ideals in 2000000 cliques
  217. Mon Sep 15 06:29:10 2025 commencing in-memory singleton removal
  218. Mon Sep 15 06:30:29 2025 begin with 265902143 relations and 199678140 unique ideals
  219. Mon Sep 15 06:33:37 2025 reduce to 265804270 relations and 195807070 ideals in 6 passes
  220. Mon Sep 15 06:33:37 2025 max relations containing the same ideal: 146
  221. Mon Sep 15 06:37:38 2025 removing 5763858 relations and 3763858 ideals in 2000000 cliques
  222. Mon Sep 15 06:37:47 2025 commencing in-memory singleton removal
  223. Mon Sep 15 06:39:05 2025 begin with 260040412 relations and 195807070 unique ideals
  224. Mon Sep 15 06:41:05 2025 reduce to 259940401 relations and 191942113 ideals in 6 passes
  225. Mon Sep 15 06:41:05 2025 max relations containing the same ideal: 143
  226. Mon Sep 15 06:44:21 2025 removing 5759984 relations and 3759984 ideals in 2000000 cliques
  227. Mon Sep 15 06:44:31 2025 commencing in-memory singleton removal
  228. Mon Sep 15 06:45:47 2025 begin with 254180417 relations and 191942113 unique ideals
  229. Mon Sep 15 06:48:39 2025 reduce to 254078634 relations and 188079157 ideals in 6 passes
  230. Mon Sep 15 06:48:39 2025 max relations containing the same ideal: 140
  231. Mon Sep 15 06:51:56 2025 removing 5756303 relations and 3756303 ideals in 2000000 cliques
  232. Mon Sep 15 06:52:04 2025 commencing in-memory singleton removal
  233. Mon Sep 15 06:53:16 2025 begin with 248322331 relations and 188079157 unique ideals
  234. Mon Sep 15 06:55:43 2025 reduce to 248218183 relations and 184217416 ideals in 6 passes
  235. Mon Sep 15 06:55:43 2025 max relations containing the same ideal: 138
  236. Mon Sep 15 06:59:37 2025 removing 5754144 relations and 3754144 ideals in 2000000 cliques
  237. Mon Sep 15 06:59:47 2025 commencing in-memory singleton removal
  238. Mon Sep 15 07:01:01 2025 begin with 242464039 relations and 184217416 unique ideals
  239. Mon Sep 15 07:03:52 2025 reduce to 242357863 relations and 180355735 ideals in 6 passes
  240. Mon Sep 15 07:03:52 2025 max relations containing the same ideal: 136
  241. Mon Sep 15 07:07:59 2025 removing 5753857 relations and 3753857 ideals in 2000000 cliques
  242. Mon Sep 15 07:08:14 2025 commencing in-memory singleton removal
  243. Mon Sep 15 07:09:20 2025 begin with 236604006 relations and 180355735 unique ideals
  244. Mon Sep 15 07:11:04 2025 reduce to 236495936 relations and 176492431 ideals in 6 passes
  245. Mon Sep 15 07:11:04 2025 max relations containing the same ideal: 133
  246. Mon Sep 15 07:13:56 2025 removing 5751861 relations and 3751861 ideals in 2000000 cliques
  247. Mon Sep 15 07:14:03 2025 commencing in-memory singleton removal
  248. Mon Sep 15 07:15:12 2025 begin with 230744075 relations and 176492431 unique ideals
  249. Mon Sep 15 07:16:41 2025 reduce to 230632776 relations and 172627845 ideals in 5 passes
  250. Mon Sep 15 07:16:41 2025 max relations containing the same ideal: 132
  251. Mon Sep 15 07:19:35 2025 removing 5754279 relations and 3754279 ideals in 2000000 cliques
  252. Mon Sep 15 07:19:42 2025 commencing in-memory singleton removal
  253. Mon Sep 15 07:20:48 2025 begin with 224878497 relations and 172627845 unique ideals
  254. Mon Sep 15 07:22:19 2025 reduce to 224765505 relations and 168759082 ideals in 5 passes
  255. Mon Sep 15 07:22:19 2025 max relations containing the same ideal: 128
  256. Mon Sep 15 07:25:15 2025 removing 5759600 relations and 3759600 ideals in 2000000 cliques
  257. Mon Sep 15 07:25:23 2025 commencing in-memory singleton removal
  258. Mon Sep 15 07:26:29 2025 begin with 219005905 relations and 168759082 unique ideals
  259. Mon Sep 15 07:29:30 2025 reduce to 218890095 relations and 164882085 ideals in 6 passes
  260. Mon Sep 15 07:29:30 2025 max relations containing the same ideal: 127
  261. Mon Sep 15 07:33:25 2025 removing 5761289 relations and 3761289 ideals in 2000000 cliques
  262. Mon Sep 15 07:33:35 2025 commencing in-memory singleton removal
  263. Mon Sep 15 07:34:45 2025 begin with 213128806 relations and 164882085 unique ideals
  264. Mon Sep 15 07:36:34 2025 reduce to 213009771 relations and 161000213 ideals in 6 passes
  265. Mon Sep 15 07:36:34 2025 max relations containing the same ideal: 126
  266. Mon Sep 15 07:40:10 2025 removing 5767907 relations and 3767907 ideals in 2000000 cliques
  267. Mon Sep 15 07:40:20 2025 commencing in-memory singleton removal
  268. Mon Sep 15 07:41:33 2025 begin with 207241864 relations and 161000213 unique ideals
  269. Mon Sep 15 07:44:34 2025 reduce to 207119975 relations and 157108721 ideals in 6 passes
  270. Mon Sep 15 07:44:34 2025 max relations containing the same ideal: 122
  271. Mon Sep 15 07:48:31 2025 removing 5774277 relations and 3774277 ideals in 2000000 cliques
  272. Mon Sep 15 07:48:41 2025 commencing in-memory singleton removal
  273. Mon Sep 15 07:49:50 2025 begin with 201345698 relations and 157108721 unique ideals
  274. Mon Sep 15 07:52:08 2025 reduce to 201219734 relations and 153206721 ideals in 6 passes
  275. Mon Sep 15 07:52:08 2025 max relations containing the same ideal: 120
  276. Mon Sep 15 07:54:57 2025 removing 5783796 relations and 3783796 ideals in 2000000 cliques
  277. Mon Sep 15 07:55:04 2025 commencing in-memory singleton removal
  278. Mon Sep 15 07:56:07 2025 begin with 195435938 relations and 153206721 unique ideals
  279. Mon Sep 15 07:57:44 2025 reduce to 195307183 relations and 149292377 ideals in 6 passes
  280. Mon Sep 15 07:57:44 2025 max relations containing the same ideal: 118
  281. Mon Sep 15 08:00:46 2025 removing 5794893 relations and 3794893 ideals in 2000000 cliques
  282. Mon Sep 15 08:00:53 2025 commencing in-memory singleton removal
  283. Mon Sep 15 08:01:57 2025 begin with 189512290 relations and 149292377 unique ideals
  284. Mon Sep 15 08:03:40 2025 reduce to 189380024 relations and 145363245 ideals in 6 passes
  285. Mon Sep 15 08:03:40 2025 max relations containing the same ideal: 116
  286. Mon Sep 15 08:06:21 2025 removing 5807492 relations and 3807492 ideals in 2000000 cliques
  287. Mon Sep 15 08:06:28 2025 commencing in-memory singleton removal
  288. Mon Sep 15 08:07:28 2025 begin with 183572532 relations and 145363245 unique ideals
  289. Mon Sep 15 08:09:26 2025 reduce to 183435278 relations and 141416595 ideals in 5 passes
  290. Mon Sep 15 08:09:26 2025 max relations containing the same ideal: 112
  291. Mon Sep 15 08:12:36 2025 removing 5827961 relations and 3827961 ideals in 2000000 cliques
  292. Mon Sep 15 08:12:44 2025 commencing in-memory singleton removal
  293. Mon Sep 15 08:13:42 2025 begin with 177607317 relations and 141416595 unique ideals
  294. Mon Sep 15 08:15:51 2025 reduce to 177464612 relations and 137443890 ideals in 6 passes
  295. Mon Sep 15 08:15:51 2025 max relations containing the same ideal: 110
  296. Mon Sep 15 08:18:11 2025 removing 5841052 relations and 3841052 ideals in 2000000 cliques
  297. Mon Sep 15 08:18:17 2025 commencing in-memory singleton removal
  298. Mon Sep 15 08:19:09 2025 begin with 171623560 relations and 137443890 unique ideals
  299. Mon Sep 15 08:21:00 2025 reduce to 171476996 relations and 133454065 ideals in 6 passes
  300. Mon Sep 15 08:21:00 2025 max relations containing the same ideal: 107
  301. Mon Sep 15 08:24:03 2025 removing 5864224 relations and 3864224 ideals in 2000000 cliques
  302. Mon Sep 15 08:24:11 2025 commencing in-memory singleton removal
  303. Mon Sep 15 08:25:09 2025 begin with 165612772 relations and 133454065 unique ideals
  304. Mon Sep 15 08:27:22 2025 reduce to 165459738 relations and 129434474 ideals in 6 passes
  305. Mon Sep 15 08:27:22 2025 max relations containing the same ideal: 105
  306. Mon Sep 15 08:30:46 2025 removing 5887052 relations and 3887052 ideals in 2000000 cliques
  307. Mon Sep 15 08:30:54 2025 commencing in-memory singleton removal
  308. Mon Sep 15 08:31:40 2025 begin with 159572686 relations and 129434474 unique ideals
  309. Mon Sep 15 08:33:24 2025 reduce to 159413930 relations and 125386249 ideals in 6 passes
  310. Mon Sep 15 08:33:24 2025 max relations containing the same ideal: 104
  311. Mon Sep 15 08:35:58 2025 removing 5912815 relations and 3912815 ideals in 2000000 cliques
  312. Mon Sep 15 08:36:05 2025 commencing in-memory singleton removal
  313. Mon Sep 15 08:36:50 2025 begin with 153501115 relations and 125386249 unique ideals
  314. Mon Sep 15 08:38:29 2025 reduce to 153335927 relations and 121305601 ideals in 6 passes
  315. Mon Sep 15 08:38:29 2025 max relations containing the same ideal: 99
  316. Mon Sep 15 08:40:52 2025 removing 5942174 relations and 3942174 ideals in 2000000 cliques
  317. Mon Sep 15 08:40:59 2025 commencing in-memory singleton removal
  318. Mon Sep 15 08:41:39 2025 begin with 147393753 relations and 121305601 unique ideals
  319. Mon Sep 15 08:43:28 2025 reduce to 147221152 relations and 117187999 ideals in 7 passes
  320. Mon Sep 15 08:43:28 2025 max relations containing the same ideal: 96
  321. Mon Sep 15 08:45:49 2025 removing 5977716 relations and 3977716 ideals in 2000000 cliques
  322. Mon Sep 15 08:45:55 2025 commencing in-memory singleton removal
  323. Mon Sep 15 08:46:33 2025 begin with 141243436 relations and 117187999 unique ideals
  324. Mon Sep 15 08:48:00 2025 reduce to 141061870 relations and 113025737 ideals in 6 passes
  325. Mon Sep 15 08:48:00 2025 max relations containing the same ideal: 96
  326. Mon Sep 15 08:50:08 2025 removing 6015122 relations and 4015122 ideals in 2000000 cliques
  327. Mon Sep 15 08:50:15 2025 commencing in-memory singleton removal
  328. Mon Sep 15 08:50:52 2025 begin with 135046748 relations and 113025737 unique ideals
  329. Mon Sep 15 08:51:48 2025 reduce to 134855602 relations and 108816372 ideals in 5 passes
  330. Mon Sep 15 08:51:48 2025 max relations containing the same ideal: 92
  331. Mon Sep 15 08:53:30 2025 removing 6060918 relations and 4060918 ideals in 2000000 cliques
  332. Mon Sep 15 08:53:37 2025 commencing in-memory singleton removal
  333. Mon Sep 15 08:54:12 2025 begin with 128794684 relations and 108816372 unique ideals
  334. Mon Sep 15 08:55:09 2025 reduce to 128592016 relations and 104549403 ideals in 6 passes
  335. Mon Sep 15 08:55:09 2025 max relations containing the same ideal: 86
  336. Mon Sep 15 08:56:52 2025 removing 6109823 relations and 4109823 ideals in 2000000 cliques
  337. Mon Sep 15 08:56:58 2025 commencing in-memory singleton removal
  338. Mon Sep 15 08:57:29 2025 begin with 122482193 relations and 104549403 unique ideals
  339. Mon Sep 15 08:59:14 2025 reduce to 122266577 relations and 100220339 ideals in 8 passes
  340. Mon Sep 15 08:59:14 2025 max relations containing the same ideal: 85
  341. Mon Sep 15 09:01:07 2025 removing 6161238 relations and 4161238 ideals in 2000000 cliques
  342. Mon Sep 15 09:01:13 2025 commencing in-memory singleton removal
  343. Mon Sep 15 09:01:44 2025 begin with 116105339 relations and 100220339 unique ideals
  344. Mon Sep 15 09:02:55 2025 reduce to 115875223 relations and 95824923 ideals in 6 passes
  345. Mon Sep 15 09:02:55 2025 max relations containing the same ideal: 83
  346. Mon Sep 15 09:04:34 2025 removing 6227366 relations and 4227366 ideals in 2000000 cliques
  347. Mon Sep 15 09:04:40 2025 commencing in-memory singleton removal
  348. Mon Sep 15 09:05:08 2025 begin with 109647857 relations and 95824923 unique ideals
  349. Mon Sep 15 09:06:16 2025 reduce to 109402081 relations and 91347423 ideals in 6 passes
  350. Mon Sep 15 09:06:16 2025 max relations containing the same ideal: 78
  351. Mon Sep 15 09:07:56 2025 removing 6299067 relations and 4299067 ideals in 2000000 cliques
  352. Mon Sep 15 09:08:00 2025 commencing in-memory singleton removal
  353. Mon Sep 15 09:08:27 2025 begin with 103103014 relations and 91347423 unique ideals
  354. Mon Sep 15 09:09:15 2025 reduce to 102835528 relations and 86775926 ideals in 6 passes
  355. Mon Sep 15 09:09:15 2025 max relations containing the same ideal: 75
  356. Mon Sep 15 09:10:52 2025 removing 6385748 relations and 4385748 ideals in 2000000 cliques
  357. Mon Sep 15 09:10:58 2025 commencing in-memory singleton removal
  358. Mon Sep 15 09:11:22 2025 begin with 96449780 relations and 86775926 unique ideals
  359. Mon Sep 15 09:12:32 2025 reduce to 96159018 relations and 82093943 ideals in 7 passes
  360. Mon Sep 15 09:12:32 2025 max relations containing the same ideal: 72
  361. Mon Sep 15 09:14:04 2025 removing 6480973 relations and 4480973 ideals in 2000000 cliques
  362. Mon Sep 15 09:14:09 2025 commencing in-memory singleton removal
  363. Mon Sep 15 09:14:33 2025 begin with 89678045 relations and 82093943 unique ideals
  364. Mon Sep 15 09:15:40 2025 reduce to 89356895 relations and 77285531 ideals in 7 passes
  365. Mon Sep 15 09:15:40 2025 max relations containing the same ideal: 69
  366. Mon Sep 15 09:17:07 2025 removing 6595448 relations and 4595448 ideals in 2000000 cliques
  367. Mon Sep 15 09:17:12 2025 commencing in-memory singleton removal
  368. Mon Sep 15 09:17:33 2025 begin with 82761447 relations and 77285531 unique ideals
  369. Mon Sep 15 09:18:35 2025 reduce to 82402620 relations and 72323759 ideals in 7 passes
  370. Mon Sep 15 09:18:35 2025 max relations containing the same ideal: 66
  371. Mon Sep 15 09:19:55 2025 removing 6729758 relations and 4729758 ideals in 2000000 cliques
  372. Mon Sep 15 09:20:00 2025 commencing in-memory singleton removal
  373. Mon Sep 15 09:20:19 2025 begin with 75672862 relations and 72323759 unique ideals
  374. Mon Sep 15 09:21:15 2025 reduce to 75265242 relations and 67177626 ideals in 7 passes
  375. Mon Sep 15 09:21:15 2025 max relations containing the same ideal: 62
  376. Mon Sep 15 09:22:28 2025 removing 6890535 relations and 4890535 ideals in 2000000 cliques
  377. Mon Sep 15 09:22:33 2025 commencing in-memory singleton removal
  378. Mon Sep 15 09:22:49 2025 begin with 68374707 relations and 67177626 unique ideals
  379. Mon Sep 15 09:23:38 2025 reduce to 67901629 relations and 61803176 ideals in 7 passes
  380. Mon Sep 15 09:23:38 2025 max relations containing the same ideal: 60
  381. Mon Sep 15 09:24:42 2025 removing 7083244 relations and 5083244 ideals in 2000000 cliques
  382. Mon Sep 15 09:24:47 2025 commencing in-memory singleton removal
  383. Mon Sep 15 09:25:01 2025 begin with 60818385 relations and 61803176 unique ideals
  384. Mon Sep 15 09:26:04 2025 reduce to 60258584 relations and 56145895 ideals in 10 passes
  385. Mon Sep 15 09:26:04 2025 max relations containing the same ideal: 53
  386. Mon Sep 15 09:27:02 2025 removing 4577829 relations and 3457061 ideals in 1120768 cliques
  387. Mon Sep 15 09:27:06 2025 commencing in-memory singleton removal
  388. Mon Sep 15 09:27:19 2025 begin with 55680755 relations and 56145895 unique ideals
  389. Mon Sep 15 09:27:47 2025 reduce to 55418792 relations and 52422852 ideals in 7 passes
  390. Mon Sep 15 09:27:47 2025 max relations containing the same ideal: 50
  391. Mon Sep 15 09:28:40 2025 relations with 0 large ideals: 10640
  392. Mon Sep 15 09:28:40 2025 relations with 1 large ideals: 136277
  393. Mon Sep 15 09:28:40 2025 relations with 2 large ideals: 1336690
  394. Mon Sep 15 09:28:40 2025 relations with 3 large ideals: 5616346
  395. Mon Sep 15 09:28:40 2025 relations with 4 large ideals: 12389962
  396. Mon Sep 15 09:28:40 2025 relations with 5 large ideals: 15813060
  397. Mon Sep 15 09:28:40 2025 relations with 6 large ideals: 12290545
  398. Mon Sep 15 09:28:40 2025 relations with 7+ large ideals: 7825272
  399. Mon Sep 15 09:28:40 2025 commencing 2-way merge
  400. Mon Sep 15 09:29:54 2025 reduce to 33929640 relation sets and 30933700 unique ideals
  401. Mon Sep 15 09:29:55 2025 commencing full merge
  402. Mon Sep 15 09:44:13 2025 memory use: 3695.0 MB
  403. Mon Sep 15 09:44:19 2025 found 15891598 cycles, need 15507900
  404. Mon Sep 15 09:44:28 2025 weight of 15507900 cycles is about 1706577801 (110.05/cycle)
  405. Mon Sep 15 09:44:28 2025 distribution of cycle lengths:
  406. Mon Sep 15 09:44:28 2025 1 relations: 1028671
  407. Mon Sep 15 09:44:28 2025 2 relations: 1072732
  408. Mon Sep 15 09:44:28 2025 3 relations: 1162099
  409. Mon Sep 15 09:44:28 2025 4 relations: 1197002
  410. Mon Sep 15 09:44:28 2025 5 relations: 1243193
  411. Mon Sep 15 09:44:28 2025 6 relations: 1259280
  412. Mon Sep 15 09:44:28 2025 7 relations: 1232222
  413. Mon Sep 15 09:44:28 2025 8 relations: 1181377
  414. Mon Sep 15 09:44:28 2025 9 relations: 1091073
  415. Mon Sep 15 09:44:28 2025 10+ relations: 5040251
  416. Mon Sep 15 09:44:28 2025 heaviest cycle: 23 relations
  417. Mon Sep 15 09:44:38 2025 commencing cycle optimization
  418. Mon Sep 15 09:45:38 2025 start with 118731402 relations
  419. Mon Sep 15 09:50:17 2025 pruned 4576530 relations
  420. Mon Sep 15 09:50:19 2025 memory use: 3460.5 MB
  421. Mon Sep 15 09:50:19 2025 distribution of cycle lengths:
  422. Mon Sep 15 09:50:19 2025 1 relations: 1028671
  423. Mon Sep 15 09:50:19 2025 2 relations: 1099376
  424. Mon Sep 15 09:50:19 2025 3 relations: 1208247
  425. Mon Sep 15 09:50:19 2025 4 relations: 1243897
  426. Mon Sep 15 09:50:19 2025 5 relations: 1302879
  427. Mon Sep 15 09:50:19 2025 6 relations: 1317161
  428. Mon Sep 15 09:50:19 2025 7 relations: 1295509
  429. Mon Sep 15 09:50:19 2025 8 relations: 1233752
  430. Mon Sep 15 09:50:19 2025 9 relations: 1135946
  431. Mon Sep 15 09:50:19 2025 10+ relations: 4642462
  432. Mon Sep 15 09:50:19 2025 heaviest cycle: 22 relations
  433. Mon Sep 15 09:51:08 2025 RelProcTime: 58142
  434. Mon Sep 15 09:51:08 2025 elapsed time 16:09:03
  435. Mon Sep 15 09:52:12 2025
  436. Mon Sep 15 09:52:12 2025
  437. Mon Sep 15 09:52:12 2025 Msieve v. 1.54 (SVN unknown)
  438. Mon Sep 15 09:52:12 2025 random seeds: 87289a6b 62bb9146
  439. Mon Sep 15 09:52:12 2025 factoring 49026468318179744080794659162858674412839322772180794670660797658620140398532849656384451014894321860781725179272315108055522613049013944965384651521870166731749898306589800656311581 (182 digits)
  440. Mon Sep 15 09:52:13 2025 no P-1/P+1/ECM available, skipping
  441. Mon Sep 15 09:52:13 2025 commencing number field sieve (182-digit input)
  442. Mon Sep 15 09:52:13 2025 R0: 99831348060216498354562944094753513
  443. Mon Sep 15 09:52:13 2025 R1: 5724093143810435298203191957
  444. Mon Sep 15 09:52:13 2025 A0: 5377471605750436479822715185277739177198928
  445. Mon Sep 15 09:52:13 2025 A1: -184704921344538420213750739411217598
  446. Mon Sep 15 09:52:13 2025 A2: -116504155544777266665889816213
  447. Mon Sep 15 09:52:13 2025 A3: -1391200823721856416278
  448. Mon Sep 15 09:52:13 2025 A4: 309639038565714
  449. Mon Sep 15 09:52:13 2025 A5: 750960
  450. Mon Sep 15 09:52:13 2025 skew 16331387.38, size 1.170e-17, alpha -7.233, combined = 7.728e-14 rroots = 5
  451. Mon Sep 15 09:52:13 2025
  452. Mon Sep 15 09:52:13 2025 commencing linear algebra
  453. Mon Sep 15 09:52:13 2025 using VBITS=128
  454. Mon Sep 15 09:52:16 2025 read 15507900 cycles
  455. Mon Sep 15 09:53:09 2025 cycles contain 53778975 unique relations
  456. Mon Sep 15 10:06:29 2025 read 53778975 relations
  457. Mon Sep 15 10:08:43 2025 using 20 quadratic characters above 4294917295
  458. Mon Sep 15 10:13:59 2025 building initial matrix
  459. Mon Sep 15 10:35:01 2025 memory use: 7283.7 MB
  460. Mon Sep 15 10:35:17 2025 read 15507900 cycles
  461. Mon Sep 15 10:35:22 2025 matrix is 15507720 x 15507900 (6845.1 MB) with weight 2089932536 (134.77/col)
  462. Mon Sep 15 10:35:22 2025 sparse part has weight 1608318329 (103.71/col)
  463. Mon Sep 15 10:41:51 2025 filtering completed in 2 passes
  464. Mon Sep 15 10:41:57 2025 matrix is 15505119 x 15505299 (6844.8 MB) with weight 2089796908 (134.78/col)
  465. Mon Sep 15 10:41:57 2025 sparse part has weight 1608263787 (103.72/col)
  466. Mon Sep 15 10:43:54 2025 matrix starts at (0, 0)
  467. Mon Sep 15 10:43:58 2025 matrix is 15505119 x 15505299 (6844.8 MB) with weight 2089796908 (134.78/col)
  468. Mon Sep 15 10:43:58 2025 sparse part has weight 1608263787 (103.72/col)
  469. Mon Sep 15 10:43:58 2025 saving the first 112 matrix rows for later
  470. Mon Sep 15 10:44:03 2025 matrix includes 128 packed rows
  471. Mon Sep 15 10:44:10 2025 matrix is 15505007 x 15505299 (6333.9 MB) with weight 1587297901 (102.37/col)
  472. Mon Sep 15 10:44:10 2025 sparse part has weight 1474335930 (95.09/col)
  473. Mon Sep 15 10:44:11 2025 using GPU 0 (Tesla P100-PCIE-16GB)
  474. Mon Sep 15 10:44:11 2025 selected card has CUDA arch 6.0
  475. Mon Sep 15 10:49:29 2025 commencing Lanczos iteration
  476. Mon Sep 15 10:49:30 2025 memory use: 13259.3 MB
  477. Mon Sep 15 10:51:54 2025 linear algebra at 0.2%, ETA 20h 8m
  478. Mon Sep 15 10:52:31 2025 checking every 10000 dimensions, checkpointing every 770000 dimensions
  479. Tue Sep 16 07:05:21 2025 lanczos halted after 121861 iterations (dim = 15505007)
  480. Tue Sep 16 07:06:00 2025 recovered 28 nontrivial dependencies
  481. Tue Sep 16 07:06:01 2025 BLanczosTime: 76428
  482. Tue Sep 16 07:06:01 2025
  483. Tue Sep 16 07:06:01 2025 commencing square root phase
  484. Tue Sep 16 07:06:01 2025 handling dependencies 1 to 64
  485. Tue Sep 16 07:06:01 2025 reading relations for dependency 1
  486. Tue Sep 16 07:06:09 2025 read 7752642 cycles
  487. Tue Sep 16 07:06:46 2025 cycles contain 26886930 unique relations
  488. Tue Sep 16 07:14:46 2025 read 26886930 relations
  489. Tue Sep 16 07:19:00 2025 multiplying 26886930 relations
  490. Tue Sep 16 08:22:34 2025 multiply complete, coefficients have about 1647.12 million bits
  491. Tue Sep 16 08:22:55 2025 initial square root is modulo 24463147
  492. Tue Sep 16 09:26:44 2025 sqrtTime: 8443
  493. Tue Sep 16 09:26:44 2025 p85 factor: 6892659119764796519814552594024019803003476811159045243260075736545644471279929285119
  494. Tue Sep 16 09:26:44 2025 p97 factor: 7112852596698951763275992269450960378310492722292936184865242669244423364247674566941131961219299
  495. Tue Sep 16 09:26:44 2025 elapsed time 23:34:32
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