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C201_2340_i790

gchilders
Sep 7th, 2026
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  1. Sun Sep 6 00:43:40 2026
  2. Sun Sep 6 00:43:40 2026
  3. Sun Sep 6 00:43:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 6 00:43:40 2026 random seeds: 122b8f39 db66afa9
  5. Sun Sep 6 00:43:40 2026 MPI process 0 of 1
  6. Sun Sep 6 00:43:40 2026 Using 46 OpenMP threads
  7. Sun Sep 6 00:43:40 2026 factoring 106536583361520737619361089096890999832339405300456113937143156527603446315363401755354962202116826018067893850627531026456271517857566174974169136416780667500066816370727228270766075323363239933764993 (201 digits)
  8. Sun Sep 6 00:43:41 2026 no P-1/P+1/ECM available, skipping
  9. Sun Sep 6 00:43:41 2026 commencing number field sieve (201-digit input)
  10. Sun Sep 6 00:43:41 2026 R0: -553970769213833327069919488132256428247
  11. Sun Sep 6 00:43:41 2026 R1: 665718647777165697235921
  12. Sun Sep 6 00:43:41 2026 A0: 4208962684712650120148598466152215612520943528000
  13. Sun Sep 6 00:43:41 2026 A1: 69891307028993770769644462509143671471314
  14. Sun Sep 6 00:43:41 2026 A2: -501252459290481678817803957847619
  15. Sun Sep 6 00:43:41 2026 A3: -1103430162822097685674938
  16. Sun Sep 6 00:43:41 2026 A4: 1068208009984180
  17. Sun Sep 6 00:43:41 2026 A5: 2042040
  18. Sun Sep 6 00:43:41 2026 skew 350311946.71, size 1.587e-19, alpha -8.137, combined = 5.484e-15 rroots = 5
  19. Sun Sep 6 00:43:41 2026
  20. Sun Sep 6 00:43:41 2026 commencing relation filtering
  21. Sun Sep 6 00:43:41 2026 setting target matrix density to 110.0
  22. Sun Sep 6 00:43:41 2026 estimated available RAM is 192068.7 MB
  23. Sun Sep 6 00:43:41 2026 commencing duplicate removal, pass 1
  24. Sun Sep 6 00:56:07 2026 skipped 1 relations with composite factors
  25. Sun Sep 6 00:56:07 2026 skipped 1949 malformed relations
  26. Sun Sep 6 00:56:07 2026 found 51862925 hash collisions in 979782550 relations
  27. Sun Sep 6 00:56:38 2026 added 121673 free relations
  28. Sun Sep 6 00:56:38 2026 commencing duplicate removal, pass 2
  29. Sun Sep 6 01:00:58 2026 found 0 duplicates and 979904223 unique relations
  30. Sun Sep 6 01:00:58 2026 memory use: 4472.0 MB
  31. Sun Sep 6 01:00:58 2026 reading ideals above 429981696
  32. Sun Sep 6 01:00:58 2026 commencing singleton removal, initial pass
  33. Sun Sep 6 01:16:06 2026 LP64 contains 979904223 relations and 872199756 unique large ideals
  34. Sun Sep 6 01:16:06 2026 memory use: 33024.0 MB
  35. Sun Sep 6 01:16:08 2026 preparing 64-bit LP file for common filtering
  36. Sun Sep 6 01:16:08 2026 start with 979904223 relations and 872199756 ideals
  37. Sun Sep 6 01:17:40 2026 compacted LP dataset has 979904223 relations and 872199756 large ideals
  38. Sun Sep 6 01:17:40 2026 reading all ideals from disk
  39. Sun Sep 6 01:17:54 2026 memory use: 26279.2 MB
  40. Sun Sep 6 01:18:05 2026 commencing in-memory singleton removal
  41. Sun Sep 6 01:18:11 2026 begin with 979904223 relations and 872199756 unique ideals
  42. Sun Sep 6 01:18:40 2026 reduce to 593261401 relations and 443585022 ideals in 15 passes
  43. Sun Sep 6 01:18:40 2026 max relations containing the same ideal: 37
  44. Sun Sep 6 01:19:02 2026 reading ideals above 720000
  45. Sun Sep 6 01:19:03 2026 commencing singleton removal, initial pass
  46. Sun Sep 6 01:37:54 2026 LP64 contains 593261401 relations and 489158784 unique large ideals
  47. Sun Sep 6 01:37:54 2026 memory use: 17532.0 MB
  48. Sun Sep 6 01:37:57 2026 preparing 64-bit LP file for common filtering
  49. Sun Sep 6 01:37:57 2026 start with 593261401 relations and 489158784 ideals
  50. Sun Sep 6 01:39:40 2026 compacted LP dataset has 593261401 relations and 489158784 large ideals
  51. Sun Sep 6 01:39:40 2026 reading all ideals from disk
  52. Sun Sep 6 01:39:59 2026 memory use: 30876.3 MB
  53. Sun Sep 6 01:40:14 2026 keeping 486064509 ideals with weight <= 200, target excess is 3209968
  54. Sun Sep 6 01:41:34 2026 commencing in-memory singleton removal
  55. Sun Sep 6 01:41:40 2026 begin with 593261401 relations and 486064509 unique ideals
  56. Sun Sep 6 01:42:01 2026 reduce to 593258759 relations and 486061867 ideals in 9 passes
  57. Sun Sep 6 01:42:01 2026 max relations containing the same ideal: 200
  58. Sun Sep 6 01:44:45 2026 removing 16896824 relations and 14896824 ideals in 2000000 cliques
  59. Sun Sep 6 01:44:51 2026 commencing in-memory singleton removal
  60. Sun Sep 6 01:44:59 2026 begin with 576361935 relations and 486061867 unique ideals
  61. Sun Sep 6 01:45:26 2026 reduce to 576010856 relations and 470812195 ideals in 8 passes
  62. Sun Sep 6 01:45:26 2026 max relations containing the same ideal: 200
  63. Sun Sep 6 01:47:58 2026 removing 12706376 relations and 10706376 ideals in 2000000 cliques
  64. Sun Sep 6 01:48:04 2026 commencing in-memory singleton removal
  65. Sun Sep 6 01:48:12 2026 begin with 563304480 relations and 470812195 unique ideals
  66. Sun Sep 6 01:48:35 2026 reduce to 563084571 relations and 459885000 ideals in 7 passes
  67. Sun Sep 6 01:48:35 2026 max relations containing the same ideal: 200
  68. Sun Sep 6 01:51:35 2026 removing 11354535 relations and 9354535 ideals in 2000000 cliques
  69. Sun Sep 6 01:51:42 2026 commencing in-memory singleton removal
  70. Sun Sep 6 01:51:50 2026 begin with 551730036 relations and 459885000 unique ideals
  71. Sun Sep 6 01:52:13 2026 reduce to 551548562 relations and 450348278 ideals in 7 passes
  72. Sun Sep 6 01:52:13 2026 max relations containing the same ideal: 198
  73. Sun Sep 6 01:55:08 2026 removing 10570008 relations and 8570008 ideals in 2000000 cliques
  74. Sun Sep 6 01:55:15 2026 commencing in-memory singleton removal
  75. Sun Sep 6 01:55:22 2026 begin with 540978554 relations and 450348278 unique ideals
  76. Sun Sep 6 01:55:43 2026 reduce to 540816321 relations and 441615388 ideals in 7 passes
  77. Sun Sep 6 01:55:43 2026 max relations containing the same ideal: 197
  78. Sun Sep 6 01:58:28 2026 removing 10039396 relations and 8039396 ideals in 2000000 cliques
  79. Sun Sep 6 01:58:34 2026 commencing in-memory singleton removal
  80. Sun Sep 6 01:58:41 2026 begin with 530776925 relations and 441615388 unique ideals
  81. Sun Sep 6 01:59:03 2026 reduce to 530626200 relations and 433424684 ideals in 7 passes
  82. Sun Sep 6 01:59:03 2026 max relations containing the same ideal: 194
  83. Sun Sep 6 02:01:32 2026 removing 9640911 relations and 7640911 ideals in 2000000 cliques
  84. Sun Sep 6 02:01:37 2026 commencing in-memory singleton removal
  85. Sun Sep 6 02:01:45 2026 begin with 520985289 relations and 433424684 unique ideals
  86. Sun Sep 6 02:02:06 2026 reduce to 520843629 relations and 425641559 ideals in 7 passes
  87. Sun Sep 6 02:02:06 2026 max relations containing the same ideal: 193
  88. Sun Sep 6 02:04:11 2026 removing 9332921 relations and 7332921 ideals in 2000000 cliques
  89. Sun Sep 6 02:04:16 2026 commencing in-memory singleton removal
  90. Sun Sep 6 02:04:23 2026 begin with 511510708 relations and 425641559 unique ideals
  91. Sun Sep 6 02:04:42 2026 reduce to 511375026 relations and 418172472 ideals in 6 passes
  92. Sun Sep 6 02:04:42 2026 max relations containing the same ideal: 191
  93. Sun Sep 6 02:06:45 2026 removing 9076031 relations and 7076031 ideals in 2000000 cliques
  94. Sun Sep 6 02:06:50 2026 commencing in-memory singleton removal
  95. Sun Sep 6 02:06:57 2026 begin with 502298995 relations and 418172472 unique ideals
  96. Sun Sep 6 02:07:17 2026 reduce to 502166826 relations and 410963737 ideals in 7 passes
  97. Sun Sep 6 02:07:17 2026 max relations containing the same ideal: 191
  98. Sun Sep 6 02:09:17 2026 removing 8867783 relations and 6867783 ideals in 2000000 cliques
  99. Sun Sep 6 02:09:22 2026 commencing in-memory singleton removal
  100. Sun Sep 6 02:09:29 2026 begin with 493299043 relations and 410963737 unique ideals
  101. Sun Sep 6 02:09:47 2026 reduce to 493170644 relations and 403967052 ideals in 6 passes
  102. Sun Sep 6 02:09:47 2026 max relations containing the same ideal: 186
  103. Sun Sep 6 02:12:16 2026 removing 8692373 relations and 6692373 ideals in 2000000 cliques
  104. Sun Sep 6 02:12:22 2026 commencing in-memory singleton removal
  105. Sun Sep 6 02:12:29 2026 begin with 484478271 relations and 403967052 unique ideals
  106. Sun Sep 6 02:12:48 2026 reduce to 484351692 relations and 397147615 ideals in 7 passes
  107. Sun Sep 6 02:12:48 2026 max relations containing the same ideal: 184
  108. Sun Sep 6 02:15:15 2026 removing 8544510 relations and 6544510 ideals in 2000000 cliques
  109. Sun Sep 6 02:15:21 2026 commencing in-memory singleton removal
  110. Sun Sep 6 02:15:27 2026 begin with 475807182 relations and 397147615 unique ideals
  111. Sun Sep 6 02:15:44 2026 reduce to 475682333 relations and 390477785 ideals in 6 passes
  112. Sun Sep 6 02:15:44 2026 max relations containing the same ideal: 183
  113. Sun Sep 6 02:18:07 2026 removing 8416596 relations and 6416596 ideals in 2000000 cliques
  114. Sun Sep 6 02:18:12 2026 commencing in-memory singleton removal
  115. Sun Sep 6 02:18:19 2026 begin with 467265737 relations and 390477785 unique ideals
  116. Sun Sep 6 02:18:37 2026 reduce to 467141822 relations and 383936756 ideals in 7 passes
  117. Sun Sep 6 02:18:37 2026 max relations containing the same ideal: 182
  118. Sun Sep 6 02:20:29 2026 removing 8305130 relations and 6305130 ideals in 2000000 cliques
  119. Sun Sep 6 02:20:34 2026 commencing in-memory singleton removal
  120. Sun Sep 6 02:20:41 2026 begin with 458836692 relations and 383936756 unique ideals
  121. Sun Sep 6 02:20:57 2026 reduce to 458714031 relations and 377508421 ideals in 6 passes
  122. Sun Sep 6 02:20:57 2026 max relations containing the same ideal: 181
  123. Sun Sep 6 02:23:12 2026 removing 8207153 relations and 6207153 ideals in 2000000 cliques
  124. Sun Sep 6 02:23:17 2026 commencing in-memory singleton removal
  125. Sun Sep 6 02:23:23 2026 begin with 450506878 relations and 377508421 unique ideals
  126. Sun Sep 6 02:23:41 2026 reduce to 450384554 relations and 371178419 ideals in 7 passes
  127. Sun Sep 6 02:23:41 2026 max relations containing the same ideal: 178
  128. Sun Sep 6 02:25:28 2026 removing 8119504 relations and 6119504 ideals in 2000000 cliques
  129. Sun Sep 6 02:25:33 2026 commencing in-memory singleton removal
  130. Sun Sep 6 02:25:39 2026 begin with 442265050 relations and 371178419 unique ideals
  131. Sun Sep 6 02:25:54 2026 reduce to 442142637 relations and 364935968 ideals in 6 passes
  132. Sun Sep 6 02:25:54 2026 max relations containing the same ideal: 176
  133. Sun Sep 6 02:28:11 2026 removing 8046857 relations and 6046857 ideals in 2000000 cliques
  134. Sun Sep 6 02:28:16 2026 commencing in-memory singleton removal
  135. Sun Sep 6 02:28:22 2026 begin with 434095780 relations and 364935968 unique ideals
  136. Sun Sep 6 02:28:37 2026 reduce to 433972772 relations and 358765521 ideals in 6 passes
  137. Sun Sep 6 02:28:37 2026 max relations containing the same ideal: 175
  138. Sun Sep 6 02:30:50 2026 removing 7978278 relations and 5978278 ideals in 2000000 cliques
  139. Sun Sep 6 02:30:55 2026 commencing in-memory singleton removal
  140. Sun Sep 6 02:31:01 2026 begin with 425994494 relations and 358765521 unique ideals
  141. Sun Sep 6 02:31:15 2026 reduce to 425871716 relations and 352663879 ideals in 6 passes
  142. Sun Sep 6 02:31:15 2026 max relations containing the same ideal: 172
  143. Sun Sep 6 02:33:22 2026 removing 7925818 relations and 5925818 ideals in 2000000 cliques
  144. Sun Sep 6 02:33:26 2026 commencing in-memory singleton removal
  145. Sun Sep 6 02:33:32 2026 begin with 417945898 relations and 352663879 unique ideals
  146. Sun Sep 6 02:33:47 2026 reduce to 417821746 relations and 346613338 ideals in 6 passes
  147. Sun Sep 6 02:33:47 2026 max relations containing the same ideal: 169
  148. Sun Sep 6 02:35:45 2026 removing 7870234 relations and 5870234 ideals in 2000000 cliques
  149. Sun Sep 6 02:35:49 2026 commencing in-memory singleton removal
  150. Sun Sep 6 02:35:55 2026 begin with 409951512 relations and 346613338 unique ideals
  151. Sun Sep 6 02:36:09 2026 reduce to 409826587 relations and 340617551 ideals in 6 passes
  152. Sun Sep 6 02:36:09 2026 max relations containing the same ideal: 168
  153. Sun Sep 6 02:37:49 2026 removing 7825380 relations and 5825380 ideals in 2000000 cliques
  154. Sun Sep 6 02:37:53 2026 commencing in-memory singleton removal
  155. Sun Sep 6 02:37:58 2026 begin with 402001207 relations and 340617551 unique ideals
  156. Sun Sep 6 02:38:12 2026 reduce to 401875620 relations and 334665881 ideals in 6 passes
  157. Sun Sep 6 02:38:12 2026 max relations containing the same ideal: 168
  158. Sun Sep 6 02:39:50 2026 removing 7785775 relations and 5785775 ideals in 2000000 cliques
  159. Sun Sep 6 02:39:54 2026 commencing in-memory singleton removal
  160. Sun Sep 6 02:39:59 2026 begin with 394089845 relations and 334665881 unique ideals
  161. Sun Sep 6 02:40:13 2026 reduce to 393963293 relations and 328752868 ideals in 6 passes
  162. Sun Sep 6 02:40:13 2026 max relations containing the same ideal: 166
  163. Sun Sep 6 02:41:48 2026 removing 7752459 relations and 5752459 ideals in 2000000 cliques
  164. Sun Sep 6 02:41:52 2026 commencing in-memory singleton removal
  165. Sun Sep 6 02:41:57 2026 begin with 386210834 relations and 328752868 unique ideals
  166. Sun Sep 6 02:42:11 2026 reduce to 386081869 relations and 322870778 ideals in 6 passes
  167. Sun Sep 6 02:42:11 2026 max relations containing the same ideal: 164
  168. Sun Sep 6 02:44:10 2026 removing 7723006 relations and 5723006 ideals in 2000000 cliques
  169. Sun Sep 6 02:44:14 2026 commencing in-memory singleton removal
  170. Sun Sep 6 02:44:19 2026 begin with 378358863 relations and 322870778 unique ideals
  171. Sun Sep 6 02:44:32 2026 reduce to 378228962 relations and 317017135 ideals in 6 passes
  172. Sun Sep 6 02:44:32 2026 max relations containing the same ideal: 160
  173. Sun Sep 6 02:46:27 2026 removing 7696991 relations and 5696991 ideals in 2000000 cliques
  174. Sun Sep 6 02:46:31 2026 commencing in-memory singleton removal
  175. Sun Sep 6 02:46:36 2026 begin with 370531971 relations and 317017135 unique ideals
  176. Sun Sep 6 02:46:51 2026 reduce to 370399926 relations and 311187366 ideals in 7 passes
  177. Sun Sep 6 02:46:51 2026 max relations containing the same ideal: 158
  178. Sun Sep 6 02:48:21 2026 removing 7676288 relations and 5676288 ideals in 2000000 cliques
  179. Sun Sep 6 02:48:25 2026 commencing in-memory singleton removal
  180. Sun Sep 6 02:48:30 2026 begin with 362723638 relations and 311187366 unique ideals
  181. Sun Sep 6 02:48:44 2026 reduce to 362588981 relations and 305375562 ideals in 7 passes
  182. Sun Sep 6 02:48:44 2026 max relations containing the same ideal: 157
  183. Sun Sep 6 02:50:24 2026 removing 7658947 relations and 5658947 ideals in 2000000 cliques
  184. Sun Sep 6 02:50:28 2026 commencing in-memory singleton removal
  185. Sun Sep 6 02:50:33 2026 begin with 354930034 relations and 305375562 unique ideals
  186. Sun Sep 6 02:50:45 2026 reduce to 354792697 relations and 299578496 ideals in 6 passes
  187. Sun Sep 6 02:50:45 2026 max relations containing the same ideal: 154
  188. Sun Sep 6 02:52:12 2026 removing 7646121 relations and 5646121 ideals in 2000000 cliques
  189. Sun Sep 6 02:52:16 2026 commencing in-memory singleton removal
  190. Sun Sep 6 02:52:21 2026 begin with 347146576 relations and 299578496 unique ideals
  191. Sun Sep 6 02:52:35 2026 reduce to 347008452 relations and 293793362 ideals in 7 passes
  192. Sun Sep 6 02:52:35 2026 max relations containing the same ideal: 151
  193. Sun Sep 6 02:54:00 2026 removing 7637395 relations and 5637395 ideals in 2000000 cliques
  194. Sun Sep 6 02:54:03 2026 commencing in-memory singleton removal
  195. Sun Sep 6 02:54:08 2026 begin with 339371057 relations and 293793362 unique ideals
  196. Sun Sep 6 02:54:20 2026 reduce to 339230107 relations and 288014099 ideals in 6 passes
  197. Sun Sep 6 02:54:20 2026 max relations containing the same ideal: 148
  198. Sun Sep 6 02:55:45 2026 removing 7631978 relations and 5631978 ideals in 2000000 cliques
  199. Sun Sep 6 02:55:48 2026 commencing in-memory singleton removal
  200. Sun Sep 6 02:55:53 2026 begin with 331598129 relations and 288014099 unique ideals
  201. Sun Sep 6 02:56:05 2026 reduce to 331453119 relations and 282236177 ideals in 7 passes
  202. Sun Sep 6 02:56:05 2026 max relations containing the same ideal: 147
  203. Sun Sep 6 02:57:47 2026 removing 7626470 relations and 5626470 ideals in 2000000 cliques
  204. Sun Sep 6 02:57:50 2026 commencing in-memory singleton removal
  205. Sun Sep 6 02:57:54 2026 begin with 323826649 relations and 282236177 unique ideals
  206. Sun Sep 6 02:58:07 2026 reduce to 323680019 relations and 276462065 ideals in 7 passes
  207. Sun Sep 6 02:58:07 2026 max relations containing the same ideal: 145
  208. Sun Sep 6 02:59:50 2026 removing 7630750 relations and 5630750 ideals in 2000000 cliques
  209. Sun Sep 6 02:59:54 2026 commencing in-memory singleton removal
  210. Sun Sep 6 02:59:58 2026 begin with 316049269 relations and 276462065 unique ideals
  211. Sun Sep 6 03:00:10 2026 reduce to 315899297 relations and 270680300 ideals in 7 passes
  212. Sun Sep 6 03:00:10 2026 max relations containing the same ideal: 143
  213. Sun Sep 6 03:01:50 2026 removing 7631628 relations and 5631628 ideals in 2000000 cliques
  214. Sun Sep 6 03:01:54 2026 commencing in-memory singleton removal
  215. Sun Sep 6 03:01:58 2026 begin with 308267669 relations and 270680300 unique ideals
  216. Sun Sep 6 03:02:09 2026 reduce to 308112363 relations and 264892272 ideals in 6 passes
  217. Sun Sep 6 03:02:09 2026 max relations containing the same ideal: 139
  218. Sun Sep 6 03:03:26 2026 removing 7641943 relations and 5641943 ideals in 2000000 cliques
  219. Sun Sep 6 03:03:29 2026 commencing in-memory singleton removal
  220. Sun Sep 6 03:03:33 2026 begin with 300470420 relations and 264892272 unique ideals
  221. Sun Sep 6 03:03:45 2026 reduce to 300311803 relations and 259090619 ideals in 7 passes
  222. Sun Sep 6 03:03:45 2026 max relations containing the same ideal: 138
  223. Sun Sep 6 03:05:00 2026 removing 7650979 relations and 5650979 ideals in 2000000 cliques
  224. Sun Sep 6 03:05:03 2026 commencing in-memory singleton removal
  225. Sun Sep 6 03:05:07 2026 begin with 292660824 relations and 259090619 unique ideals
  226. Sun Sep 6 03:05:17 2026 reduce to 292498190 relations and 253275868 ideals in 6 passes
  227. Sun Sep 6 03:05:17 2026 max relations containing the same ideal: 135
  228. Sun Sep 6 03:06:31 2026 removing 7663968 relations and 5663968 ideals in 2000000 cliques
  229. Sun Sep 6 03:06:34 2026 commencing in-memory singleton removal
  230. Sun Sep 6 03:06:38 2026 begin with 284834222 relations and 253275868 unique ideals
  231. Sun Sep 6 03:06:49 2026 reduce to 284666494 relations and 247442917 ideals in 7 passes
  232. Sun Sep 6 03:06:49 2026 max relations containing the same ideal: 132
  233. Sun Sep 6 03:08:01 2026 removing 7679653 relations and 5679653 ideals in 2000000 cliques
  234. Sun Sep 6 03:08:04 2026 commencing in-memory singleton removal
  235. Sun Sep 6 03:08:08 2026 begin with 276986841 relations and 247442917 unique ideals
  236. Sun Sep 6 03:08:18 2026 reduce to 276814840 relations and 241589987 ideals in 7 passes
  237. Sun Sep 6 03:08:18 2026 max relations containing the same ideal: 130
  238. Sun Sep 6 03:09:29 2026 removing 7703999 relations and 5703999 ideals in 2000000 cliques
  239. Sun Sep 6 03:09:32 2026 commencing in-memory singleton removal
  240. Sun Sep 6 03:09:36 2026 begin with 269110841 relations and 241589987 unique ideals
  241. Sun Sep 6 03:09:46 2026 reduce to 268933484 relations and 235707245 ideals in 7 passes
  242. Sun Sep 6 03:09:46 2026 max relations containing the same ideal: 128
  243. Sun Sep 6 03:10:55 2026 removing 7727000 relations and 5727000 ideals in 2000000 cliques
  244. Sun Sep 6 03:10:58 2026 commencing in-memory singleton removal
  245. Sun Sep 6 03:11:01 2026 begin with 261206484 relations and 235707245 unique ideals
  246. Sun Sep 6 03:11:12 2026 reduce to 261022189 relations and 229794469 ideals in 7 passes
  247. Sun Sep 6 03:11:12 2026 max relations containing the same ideal: 127
  248. Sun Sep 6 03:12:18 2026 removing 7758707 relations and 5758707 ideals in 2000000 cliques
  249. Sun Sep 6 03:12:21 2026 commencing in-memory singleton removal
  250. Sun Sep 6 03:12:24 2026 begin with 253263482 relations and 229794469 unique ideals
  251. Sun Sep 6 03:12:33 2026 reduce to 253073137 relations and 223843891 ideals in 6 passes
  252. Sun Sep 6 03:12:33 2026 max relations containing the same ideal: 126
  253. Sun Sep 6 03:13:38 2026 removing 7790525 relations and 5790525 ideals in 2000000 cliques
  254. Sun Sep 6 03:13:41 2026 commencing in-memory singleton removal
  255. Sun Sep 6 03:13:44 2026 begin with 245282612 relations and 223843891 unique ideals
  256. Sun Sep 6 03:13:53 2026 reduce to 245083391 relations and 217852512 ideals in 6 passes
  257. Sun Sep 6 03:13:53 2026 max relations containing the same ideal: 120
  258. Sun Sep 6 03:14:55 2026 removing 7834766 relations and 5834766 ideals in 2000000 cliques
  259. Sun Sep 6 03:14:58 2026 commencing in-memory singleton removal
  260. Sun Sep 6 03:15:01 2026 begin with 237248625 relations and 217852512 unique ideals
  261. Sun Sep 6 03:15:10 2026 reduce to 237041850 relations and 211809256 ideals in 7 passes
  262. Sun Sep 6 03:15:10 2026 max relations containing the same ideal: 117
  263. Sun Sep 6 03:16:14 2026 removing 7874766 relations and 5874766 ideals in 2000000 cliques
  264. Sun Sep 6 03:16:16 2026 commencing in-memory singleton removal
  265. Sun Sep 6 03:16:20 2026 begin with 229167084 relations and 211809256 unique ideals
  266. Sun Sep 6 03:16:27 2026 reduce to 228950747 relations and 205716277 ideals in 6 passes
  267. Sun Sep 6 03:16:27 2026 max relations containing the same ideal: 116
  268. Sun Sep 6 03:17:28 2026 removing 7929265 relations and 5929265 ideals in 2000000 cliques
  269. Sun Sep 6 03:17:30 2026 commencing in-memory singleton removal
  270. Sun Sep 6 03:17:33 2026 begin with 221021482 relations and 205716277 unique ideals
  271. Sun Sep 6 03:17:42 2026 reduce to 220793735 relations and 199557284 ideals in 8 passes
  272. Sun Sep 6 03:17:42 2026 max relations containing the same ideal: 112
  273. Sun Sep 6 03:18:40 2026 removing 7988745 relations and 5988745 ideals in 2000000 cliques
  274. Sun Sep 6 03:18:43 2026 commencing in-memory singleton removal
  275. Sun Sep 6 03:18:45 2026 begin with 212804990 relations and 199557284 unique ideals
  276. Sun Sep 6 03:18:54 2026 reduce to 212566527 relations and 193328020 ideals in 7 passes
  277. Sun Sep 6 03:18:54 2026 max relations containing the same ideal: 111
  278. Sun Sep 6 03:19:55 2026 removing 8050997 relations and 6050997 ideals in 2000000 cliques
  279. Sun Sep 6 03:19:57 2026 commencing in-memory singleton removal
  280. Sun Sep 6 03:20:00 2026 begin with 204515530 relations and 193328020 unique ideals
  281. Sun Sep 6 03:20:09 2026 reduce to 204263707 relations and 187022939 ideals in 8 passes
  282. Sun Sep 6 03:20:09 2026 max relations containing the same ideal: 108
  283. Sun Sep 6 03:21:04 2026 removing 8127489 relations and 6127489 ideals in 2000000 cliques
  284. Sun Sep 6 03:21:06 2026 commencing in-memory singleton removal
  285. Sun Sep 6 03:21:08 2026 begin with 196136218 relations and 187022939 unique ideals
  286. Sun Sep 6 03:21:16 2026 reduce to 195870524 relations and 180627306 ideals in 7 passes
  287. Sun Sep 6 03:21:16 2026 max relations containing the same ideal: 108
  288. Sun Sep 6 03:22:11 2026 removing 8210858 relations and 6210858 ideals in 2000000 cliques
  289. Sun Sep 6 03:22:13 2026 commencing in-memory singleton removal
  290. Sun Sep 6 03:22:16 2026 begin with 187659666 relations and 180627306 unique ideals
  291. Sun Sep 6 03:22:25 2026 reduce to 187376190 relations and 174130299 ideals in 9 passes
  292. Sun Sep 6 03:22:25 2026 max relations containing the same ideal: 104
  293. Sun Sep 6 03:23:16 2026 removing 8307662 relations and 6307662 ideals in 2000000 cliques
  294. Sun Sep 6 03:23:18 2026 commencing in-memory singleton removal
  295. Sun Sep 6 03:23:20 2026 begin with 179068528 relations and 174130299 unique ideals
  296. Sun Sep 6 03:23:28 2026 reduce to 178766329 relations and 167517514 ideals in 8 passes
  297. Sun Sep 6 03:23:28 2026 max relations containing the same ideal: 100
  298. Sun Sep 6 03:24:22 2026 removing 8413615 relations and 6413615 ideals in 2000000 cliques
  299. Sun Sep 6 03:24:24 2026 commencing in-memory singleton removal
  300. Sun Sep 6 03:24:26 2026 begin with 170352714 relations and 167517514 unique ideals
  301. Sun Sep 6 03:24:33 2026 reduce to 170027590 relations and 160775561 ideals in 8 passes
  302. Sun Sep 6 03:24:33 2026 max relations containing the same ideal: 96
  303. Sun Sep 6 03:25:19 2026 removing 8529345 relations and 6529345 ideals in 2000000 cliques
  304. Sun Sep 6 03:25:21 2026 commencing in-memory singleton removal
  305. Sun Sep 6 03:25:23 2026 begin with 161498245 relations and 160775561 unique ideals
  306. Sun Sep 6 03:25:30 2026 reduce to 161144925 relations and 153889298 ideals in 8 passes
  307. Sun Sep 6 03:25:30 2026 max relations containing the same ideal: 91
  308. Sun Sep 6 03:26:14 2026 removing 8666523 relations and 6666523 ideals in 2000000 cliques
  309. Sun Sep 6 03:26:16 2026 commencing in-memory singleton removal
  310. Sun Sep 6 03:26:18 2026 begin with 152478402 relations and 153889298 unique ideals
  311. Sun Sep 6 03:26:24 2026 reduce to 152091644 relations and 146831935 ideals in 7 passes
  312. Sun Sep 6 03:26:24 2026 max relations containing the same ideal: 86
  313. Sun Sep 6 03:27:06 2026 removing 7119304 relations and 5583158 ideals in 1536146 cliques
  314. Sun Sep 6 03:27:07 2026 commencing in-memory singleton removal
  315. Sun Sep 6 03:27:09 2026 begin with 144972340 relations and 146831935 unique ideals
  316. Sun Sep 6 03:27:15 2026 reduce to 144703129 relations and 140977415 ideals in 7 passes
  317. Sun Sep 6 03:27:15 2026 max relations containing the same ideal: 83
  318. Sun Sep 6 03:27:56 2026 relations with 0 large ideals: 11907
  319. Sun Sep 6 03:27:56 2026 relations with 1 large ideals: 58329
  320. Sun Sep 6 03:27:56 2026 relations with 2 large ideals: 858580
  321. Sun Sep 6 03:27:56 2026 relations with 3 large ideals: 5261694
  322. Sun Sep 6 03:27:56 2026 relations with 4 large ideals: 17237356
  323. Sun Sep 6 03:27:56 2026 relations with 5 large ideals: 33373593
  324. Sun Sep 6 03:27:56 2026 relations with 6 large ideals: 39869943
  325. Sun Sep 6 03:27:56 2026 relations with 7+ large ideals: 48031727
  326. Sun Sep 6 03:27:56 2026 commencing 2-way merge
  327. Sun Sep 6 03:28:52 2026 reduce to 88131560 relation sets and 84405846 unique ideals
  328. Sun Sep 6 03:28:52 2026 commencing full merge
  329. Sun Sep 6 03:47:28 2026 memory use: 10270.7 MB
  330. Sun Sep 6 03:47:29 2026 found 41043205 cycles, need 40572046
  331. Sun Sep 6 03:47:39 2026 weight of 40572046 cycles is about 4463104271 (110.00/cycle)
  332. Sun Sep 6 03:47:39 2026 distribution of cycle lengths:
  333. Sun Sep 6 03:47:39 2026 1 relations: 3440726
  334. Sun Sep 6 03:47:39 2026 2 relations: 3169479
  335. Sun Sep 6 03:47:39 2026 3 relations: 3296075
  336. Sun Sep 6 03:47:39 2026 4 relations: 3317490
  337. Sun Sep 6 03:47:39 2026 5 relations: 3366339
  338. Sun Sep 6 03:47:39 2026 6 relations: 3205101
  339. Sun Sep 6 03:47:39 2026 7 relations: 3136082
  340. Sun Sep 6 03:47:39 2026 8 relations: 2914443
  341. Sun Sep 6 03:47:39 2026 9 relations: 2661791
  342. Sun Sep 6 03:47:39 2026 10+ relations: 12064520
  343. Sun Sep 6 03:47:39 2026 heaviest cycle: 24 relations
  344. Sun Sep 6 03:47:43 2026 commencing cycle optimization
  345. Sun Sep 6 03:48:38 2026 start with 296238306 relations
  346. Sun Sep 6 03:55:22 2026 pruned 9600962 relations
  347. Sun Sep 6 03:55:22 2026 memory use: 9375.9 MB
  348. Sun Sep 6 03:55:23 2026 distribution of cycle lengths:
  349. Sun Sep 6 03:55:23 2026 1 relations: 3440726
  350. Sun Sep 6 03:55:23 2026 2 relations: 3246217
  351. Sun Sep 6 03:55:23 2026 3 relations: 3419072
  352. Sun Sep 6 03:55:23 2026 4 relations: 3426188
  353. Sun Sep 6 03:55:23 2026 5 relations: 3490341
  354. Sun Sep 6 03:55:23 2026 6 relations: 3316882
  355. Sun Sep 6 03:55:23 2026 7 relations: 3244723
  356. Sun Sep 6 03:55:23 2026 8 relations: 2998706
  357. Sun Sep 6 03:55:23 2026 9 relations: 2728275
  358. Sun Sep 6 03:55:23 2026 10+ relations: 11260916
  359. Sun Sep 6 03:55:23 2026 heaviest cycle: 24 relations
  360. Sun Sep 6 03:55:35 2026 RelProcTime: 11514
  361. Sun Sep 6 03:55:35 2026 elapsed time 03:11:55
  362. Sun Sep 6 03:55:35 2026
  363. Sun Sep 6 03:55:35 2026
  364. Sun Sep 6 03:55:35 2026 Msieve v. 1.54 (SVN Unversioned directory)
  365. Sun Sep 6 03:55:35 2026 random seeds: 0ba500f5 509825b5
  366. Sun Sep 6 03:55:35 2026 MPI process 0 of 1
  367. Sun Sep 6 03:55:35 2026 Using 46 OpenMP threads
  368. Sun Sep 6 03:55:35 2026 factoring 106536583361520737619361089096890999832339405300456113937143156527603446315363401755354962202116826018067893850627531026456271517857566174974169136416780667500066816370727228270766075323363239933764993 (201 digits)
  369. Sun Sep 6 03:55:36 2026 no P-1/P+1/ECM available, skipping
  370. Sun Sep 6 03:55:36 2026 commencing number field sieve (201-digit input)
  371. Sun Sep 6 03:55:36 2026 R0: -553970769213833327069919488132256428247
  372. Sun Sep 6 03:55:36 2026 R1: 665718647777165697235921
  373. Sun Sep 6 03:55:36 2026 A0: 4208962684712650120148598466152215612520943528000
  374. Sun Sep 6 03:55:36 2026 A1: 69891307028993770769644462509143671471314
  375. Sun Sep 6 03:55:36 2026 A2: -501252459290481678817803957847619
  376. Sun Sep 6 03:55:36 2026 A3: -1103430162822097685674938
  377. Sun Sep 6 03:55:36 2026 A4: 1068208009984180
  378. Sun Sep 6 03:55:36 2026 A5: 2042040
  379. Sun Sep 6 03:55:36 2026 skew 350311946.71, size 1.587e-19, alpha -8.137, combined = 5.484e-15 rroots = 5
  380. Sun Sep 6 03:55:36 2026
  381. Sun Sep 6 03:55:36 2026 commencing linear algebra
  382. Sun Sep 6 03:55:36 2026 using VBITS=128
  383. Sun Sep 6 03:55:36 2026 stopping after matrix build
  384. Sun Sep 6 03:55:36 2026 initialized process (0,0) of 1 x 1 grid
  385. Sun Sep 6 03:55:41 2026 read 40572046 cycles
  386. Sun Sep 6 03:57:18 2026 cycles contain 142485323 unique relations
  387. Sun Sep 6 03:58:57 2026 read 142485323 relations
  388. Sun Sep 6 03:59:10 2026 using 20 quadratic characters above 4294917295
  389. Sun Sep 6 03:59:28 2026 building initial matrix
  390. Sun Sep 6 04:30:48 2026 memory use: 20034.9 MB
  391. Sun Sep 6 04:31:32 2026 read 40572046 cycles
  392. Sun Sep 6 04:31:38 2026 matrix is 40571862 x 40572046 (18004.2 MB) with weight 5533699623 (136.39/col)
  393. Sun Sep 6 04:31:38 2026 sparse part has weight 4232815745 (104.33/col)
  394. Sun Sep 6 04:40:45 2026 filtering completed in 2 passes
  395. Sun Sep 6 04:40:53 2026 matrix is 40565373 x 40565555 (18003.6 MB) with weight 5533415485 (136.41/col)
  396. Sun Sep 6 04:40:53 2026 sparse part has weight 4232740343 (104.34/col)
  397. Sun Sep 6 04:42:37 2026 BLanczosTime: 2821
  398. Sun Sep 6 04:42:37 2026 elapsed time 00:47:02
  399. Sun Sep 6 04:42:39 2026
  400. Sun Sep 6 04:42:39 2026
  401. Sun Sep 6 04:42:39 2026 Msieve v. 1.54 (SVN Unversioned directory)
  402. Sun Sep 6 04:42:39 2026 random seeds: ff82a31c d633acc2
  403. Sun Sep 6 04:42:39 2026 MPI process 0 of 2
  404. Sun Sep 6 04:42:39 2026 Using 6 OpenMP threads
  405. Sun Sep 6 04:42:39 2026 factoring 106536583361520737619361089096890999832339405300456113937143156527603446315363401755354962202116826018067893850627531026456271517857566174974169136416780667500066816370727228270766075323363239933764993 (201 digits)
  406. Sun Sep 6 04:42:40 2026 no P-1/P+1/ECM available, skipping
  407. Sun Sep 6 04:42:40 2026 commencing number field sieve (201-digit input)
  408. Sun Sep 6 04:42:40 2026 R0: -553970769213833327069919488132256428247
  409. Sun Sep 6 04:42:40 2026 R1: 665718647777165697235921
  410. Sun Sep 6 04:42:40 2026 A0: 4208962684712650120148598466152215612520943528000
  411. Sun Sep 6 04:42:40 2026 A1: 69891307028993770769644462509143671471314
  412. Sun Sep 6 04:42:40 2026 A2: -501252459290481678817803957847619
  413. Sun Sep 6 04:42:40 2026 A3: -1103430162822097685674938
  414. Sun Sep 6 04:42:40 2026 A4: 1068208009984180
  415. Sun Sep 6 04:42:40 2026 A5: 2042040
  416. Sun Sep 6 04:42:40 2026 skew 350311946.71, size 1.587e-19, alpha -8.137, combined = 5.484e-15 rroots = 5
  417. Sun Sep 6 04:42:40 2026
  418. Sun Sep 6 04:42:40 2026 commencing linear algebra
  419. Sun Sep 6 04:42:40 2026 using VBITS=256
  420. Sun Sep 6 04:42:40 2026 skipping matrix build
  421. Sun Sep 6 04:42:40 2026 initialized process (0,0) of 1 x 2 grid
  422. Sun Sep 6 04:43:03 2026 matrix starts at (0, 0)
  423. Sun Sep 6 04:43:08 2026 matrix is 40565373 x 20282754 (9001.8 MB) with weight 2766699719 (136.41/col)
  424. Sun Sep 6 04:43:08 2026 sparse part has weight 2116370329 (104.34/col)
  425. Sun Sep 6 04:43:08 2026 saving the first 240 matrix rows for later
  426. Sun Sep 6 04:43:17 2026 matrix includes 256 packed rows
  427. Sun Sep 6 04:43:26 2026 matrix is 40565133 x 20282754 (8302.5 MB) with weight 1961248878 (96.70/col)
  428. Sun Sep 6 04:43:26 2026 sparse part has weight 1851914803 (91.30/col)
  429. Sun Sep 6 04:43:26 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  430. Sun Sep 6 04:43:26 2026 selected card has CUDA arch 8.0
  431. Sun Sep 6 04:48:01 2026 commencing Lanczos iteration
  432. Sun Sep 6 04:48:04 2026 memory use: 21402.0 MB
  433. Sun Sep 6 04:48:55 2026 linear algebra at 0.1%, ETA 18h 0m
  434. Sun Sep 6 04:50:09 2026 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  435. Sun Sep 6 20:44:20 2026 lanczos halted after 158933 iterations (dim = 40565133)
  436. Sun Sep 6 20:46:28 2026 recovered 29 nontrivial dependencies
  437. Sun Sep 6 20:46:29 2026 BLanczosTime: 57829
  438. Sun Sep 6 20:46:29 2026 elapsed time 16:03:50
  439. Sun Sep 6 20:46:30 2026
  440. Sun Sep 6 20:46:30 2026
  441. Sun Sep 6 20:46:30 2026 Msieve v. 1.54 (SVN Unversioned directory)
  442. Sun Sep 6 20:46:30 2026 random seeds: f8ecfb3f 6b48f04b
  443. Sun Sep 6 20:46:30 2026 MPI process 0 of 1
  444. Sun Sep 6 20:46:30 2026 Using 32 OpenMP threads
  445. Sun Sep 6 20:46:30 2026 factoring 106536583361520737619361089096890999832339405300456113937143156527603446315363401755354962202116826018067893850627531026456271517857566174974169136416780667500066816370727228270766075323363239933764993 (201 digits)
  446. Sun Sep 6 20:46:30 2026 no P-1/P+1/ECM available, skipping
  447. Sun Sep 6 20:46:30 2026 commencing number field sieve (201-digit input)
  448. Sun Sep 6 20:46:30 2026 R0: -553970769213833327069919488132256428247
  449. Sun Sep 6 20:46:30 2026 R1: 665718647777165697235921
  450. Sun Sep 6 20:46:30 2026 A0: 4208962684712650120148598466152215612520943528000
  451. Sun Sep 6 20:46:30 2026 A1: 69891307028993770769644462509143671471314
  452. Sun Sep 6 20:46:30 2026 A2: -501252459290481678817803957847619
  453. Sun Sep 6 20:46:30 2026 A3: -1103430162822097685674938
  454. Sun Sep 6 20:46:30 2026 A4: 1068208009984180
  455. Sun Sep 6 20:46:30 2026 A5: 2042040
  456. Sun Sep 6 20:46:30 2026 skew 350311946.71, size 1.587e-19, alpha -8.137, combined = 5.484e-15 rroots = 5
  457. Sun Sep 6 20:46:30 2026
  458. Sun Sep 6 20:46:30 2026 commencing square root phase
  459. Sun Sep 6 20:46:30 2026 reading relations for dependency 1
  460. Sun Sep 6 20:46:36 2026 read 20288194 cycles
  461. Sun Sep 6 20:47:14 2026 cycles contain 71253744 unique relations
  462. Sun Sep 6 20:50:03 2026 read 71253744 relations
  463. Sun Sep 6 20:55:07 2026 multiplying 71253744 relations
  464. Sun Sep 6 21:03:18 2026 multiply complete, coefficients have about 4496.70 million bits
  465. Sun Sep 6 21:03:30 2026 initial square root is modulo 110431
  466. Sun Sep 6 21:33:13 2026 GCD is 1, no factor found
  467. Sun Sep 6 21:33:13 2026 reading relations for dependency 2
  468. Sun Sep 6 21:33:18 2026 read 20281875 cycles
  469. Sun Sep 6 21:33:56 2026 cycles contain 71236820 unique relations
  470. Sun Sep 6 21:35:15 2026 read 71236820 relations
  471. Sun Sep 6 21:41:37 2026 multiplying 71236820 relations
  472. Sun Sep 6 21:49:41 2026 multiply complete, coefficients have about 4495.61 million bits
  473. Sun Sep 6 21:49:54 2026 initial square root is modulo 110059
  474. Sun Sep 6 22:19:09 2026 GCD is 1, no factor found
  475. Sun Sep 6 22:19:09 2026 reading relations for dependency 3
  476. Sun Sep 6 22:19:13 2026 read 20282606 cycles
  477. Sun Sep 6 22:19:51 2026 cycles contain 71247740 unique relations
  478. Sun Sep 6 22:21:11 2026 read 71247740 relations
  479. Sun Sep 6 22:27:01 2026 multiplying 71247740 relations
  480. Sun Sep 6 22:35:04 2026 multiply complete, coefficients have about 4496.35 million bits
  481. Sun Sep 6 22:35:17 2026 initial square root is modulo 110251
  482. Sun Sep 6 23:04:48 2026 sqrtTime: 8298
  483. Sun Sep 6 23:04:48 2026 p94 factor: 1345391626650836093951451347518302267839239917173486428034879008919564063428308500747295642499
  484. Sun Sep 6 23:04:48 2026 p107 factor: 79186298807826410693597463667551648350864642346208648938384777740126840204625244371931877402928677391982507
  485. Sun Sep 6 23:04:48 2026 elapsed time 02:18:18
  486.  
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