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  1. Fri Oct 31 09:57:42 2025
  2. Fri Oct 31 09:57:42 2025
  3. Fri Oct 31 09:57:42 2025 Msieve v. 1.54 (SVN unknown)
  4. Fri Oct 31 09:57:42 2025 random seeds: 4e7ba949 dbdde285
  5. Fri Oct 31 09:57:42 2025 factoring 328680119665325236521076895917658541856929156591774151534808539645632975885754678957179776055250564401304325290873526705325117481024802143785744049077334925038426445891867081 (174 digits)
  6. Fri Oct 31 09:57:43 2025 no P-1/P+1/ECM available, skipping
  7. Fri Oct 31 09:57:43 2025 commencing number field sieve (174-digit input)
  8. Fri Oct 31 09:57:43 2025 R0: 4491789764132651979911454690285555244710137951600270551
  9. Fri Oct 31 09:57:43 2025 R1: -1
  10. Fri Oct 31 09:57:43 2025 A0: 1
  11. Fri Oct 31 09:57:43 2025 A1: 1
  12. Fri Oct 31 09:57:43 2025 A2: 1
  13. Fri Oct 31 09:57:43 2025 A3: 1
  14. Fri Oct 31 09:57:43 2025 A4: 1
  15. Fri Oct 31 09:57:43 2025 skew 1.00, size 2.819e-22, alpha 1.694, combined = 2.739e-13 rroots = 0
  16. Fri Oct 31 09:57:43 2025
  17. Fri Oct 31 09:57:43 2025 commencing relation filtering
  18. Fri Oct 31 09:57:43 2025 setting target matrix density to 120.0
  19. Fri Oct 31 09:57:43 2025 estimated available RAM is 7902.4 MB
  20. Fri Oct 31 09:57:43 2025 commencing duplicate removal, pass 1
  21. Fri Oct 31 10:24:54 2025 skipped 621 relations with b > 2^32
  22. Fri Oct 31 10:24:54 2025 found 8939567 hash collisions in 202048649 relations
  23. Fri Oct 31 10:25:03 2025 added 3657741 free relations
  24. Fri Oct 31 10:25:03 2025 commencing duplicate removal, pass 2
  25. Fri Oct 31 10:26:29 2025 found 0 duplicates and 205706390 unique relations
  26. Fri Oct 31 10:26:29 2025 memory use: 522.4 MB
  27. Fri Oct 31 10:26:29 2025 reading ideals above 199163904
  28. Fri Oct 31 10:26:29 2025 commencing singleton removal, initial pass
  29. Fri Oct 31 10:46:34 2025 memory use: 3012.0 MB
  30. Fri Oct 31 10:46:34 2025 reading all ideals from disk
  31. Fri Oct 31 10:46:43 2025 memory use: 3388.7 MB
  32. Fri Oct 31 10:46:53 2025 commencing in-memory singleton removal
  33. Fri Oct 31 10:47:02 2025 begin with 205706390 relations and 152892135 unique ideals
  34. Fri Oct 31 10:48:38 2025 reduce to 145726472 relations and 87609487 ideals in 12 passes
  35. Fri Oct 31 10:48:38 2025 max relations containing the same ideal: 47
  36. Fri Oct 31 10:48:47 2025 reading ideals above 720000
  37. Fri Oct 31 10:48:47 2025 commencing singleton removal, initial pass
  38. Fri Oct 31 11:09:02 2025 memory use: 3012.0 MB
  39. Fri Oct 31 11:09:02 2025 reading large ideals from disk
  40. Fri Oct 31 11:10:19 2025 keeping 97946174 ideals with weight <= 20, target excess is 11733711
  41. Fri Oct 31 11:11:41 2025 memory use: 3673.4 MB
  42. Fri Oct 31 11:11:41 2025 commencing in-memory singleton removal
  43. Fri Oct 31 11:11:48 2025 begin with 145726472 relations and 97946174 unique ideals
  44. Fri Oct 31 11:12:36 2025 reduce to 145704314 relations and 97923842 ideals in 8 passes
  45. Fri Oct 31 11:12:36 2025 max relations containing the same ideal: 20
  46. Fri Oct 31 11:13:11 2025 removing 8973906 relations and 6973906 ideals in 2000000 cliques
  47. Fri Oct 31 11:13:15 2025 commencing in-memory singleton removal
  48. Fri Oct 31 11:13:19 2025 begin with 136730408 relations and 97923842 unique ideals
  49. Fri Oct 31 11:13:51 2025 reduce to 136210778 relations and 90420587 ideals in 7 passes
  50. Fri Oct 31 11:13:51 2025 max relations containing the same ideal: 20
  51. Fri Oct 31 11:14:19 2025 removing 6958576 relations and 4958576 ideals in 2000000 cliques
  52. Fri Oct 31 11:14:24 2025 commencing in-memory singleton removal
  53. Fri Oct 31 11:14:29 2025 begin with 129252202 relations and 90420587 unique ideals
  54. Fri Oct 31 11:15:11 2025 reduce to 128905675 relations and 85109956 ideals in 7 passes
  55. Fri Oct 31 11:15:11 2025 max relations containing the same ideal: 20
  56. Fri Oct 31 11:15:45 2025 removing 6413708 relations and 4413708 ideals in 2000000 cliques
  57. Fri Oct 31 11:15:50 2025 commencing in-memory singleton removal
  58. Fri Oct 31 11:15:54 2025 begin with 122491967 relations and 85109956 unique ideals
  59. Fri Oct 31 11:16:32 2025 reduce to 122194596 relations and 80394127 ideals in 7 passes
  60. Fri Oct 31 11:16:32 2025 max relations containing the same ideal: 20
  61. Fri Oct 31 11:17:04 2025 removing 6140395 relations and 4140395 ideals in 2000000 cliques
  62. Fri Oct 31 11:17:08 2025 commencing in-memory singleton removal
  63. Fri Oct 31 11:17:13 2025 begin with 116054201 relations and 80394127 unique ideals
  64. Fri Oct 31 11:17:49 2025 reduce to 115779059 relations and 75974070 ideals in 7 passes
  65. Fri Oct 31 11:17:49 2025 max relations containing the same ideal: 20
  66. Fri Oct 31 11:18:19 2025 removing 5953461 relations and 3953461 ideals in 2000000 cliques
  67. Fri Oct 31 11:18:23 2025 commencing in-memory singleton removal
  68. Fri Oct 31 11:18:27 2025 begin with 109825598 relations and 75974070 unique ideals
  69. Fri Oct 31 11:18:59 2025 reduce to 109558986 relations and 71749452 ideals in 7 passes
  70. Fri Oct 31 11:18:59 2025 max relations containing the same ideal: 20
  71. Fri Oct 31 11:19:27 2025 removing 5839796 relations and 3839796 ideals in 2000000 cliques
  72. Fri Oct 31 11:19:31 2025 commencing in-memory singleton removal
  73. Fri Oct 31 11:19:35 2025 begin with 103719190 relations and 71749452 unique ideals
  74. Fri Oct 31 11:20:01 2025 reduce to 103456667 relations and 67642402 ideals in 6 passes
  75. Fri Oct 31 11:20:01 2025 max relations containing the same ideal: 20
  76. Fri Oct 31 11:20:28 2025 removing 5741382 relations and 3741382 ideals in 2000000 cliques
  77. Fri Oct 31 11:20:31 2025 commencing in-memory singleton removal
  78. Fri Oct 31 11:20:35 2025 begin with 97715285 relations and 67642402 unique ideals
  79. Fri Oct 31 11:21:04 2025 reduce to 97449366 relations and 63630121 ideals in 7 passes
  80. Fri Oct 31 11:21:04 2025 max relations containing the same ideal: 20
  81. Fri Oct 31 11:21:30 2025 removing 5686404 relations and 3686404 ideals in 2000000 cliques
  82. Fri Oct 31 11:21:34 2025 commencing in-memory singleton removal
  83. Fri Oct 31 11:21:37 2025 begin with 91762962 relations and 63630121 unique ideals
  84. Fri Oct 31 11:22:04 2025 reduce to 91495907 relations and 59671323 ideals in 7 passes
  85. Fri Oct 31 11:22:04 2025 max relations containing the same ideal: 20
  86. Fri Oct 31 11:22:29 2025 removing 5654821 relations and 3654821 ideals in 2000000 cliques
  87. Fri Oct 31 11:22:32 2025 commencing in-memory singleton removal
  88. Fri Oct 31 11:22:35 2025 begin with 85841086 relations and 59671323 unique ideals
  89. Fri Oct 31 11:23:00 2025 reduce to 85558365 relations and 55727909 ideals in 7 passes
  90. Fri Oct 31 11:23:00 2025 max relations containing the same ideal: 20
  91. Fri Oct 31 11:23:23 2025 removing 5590294 relations and 3590294 ideals in 2000000 cliques
  92. Fri Oct 31 11:23:26 2025 commencing in-memory singleton removal
  93. Fri Oct 31 11:23:29 2025 begin with 79968071 relations and 55727909 unique ideals
  94. Fri Oct 31 11:23:48 2025 reduce to 79663137 relations and 51825833 ideals in 6 passes
  95. Fri Oct 31 11:23:48 2025 max relations containing the same ideal: 20
  96. Fri Oct 31 11:24:10 2025 removing 5617644 relations and 3617644 ideals in 2000000 cliques
  97. Fri Oct 31 11:24:12 2025 commencing in-memory singleton removal
  98. Fri Oct 31 11:24:15 2025 begin with 74045493 relations and 51825833 unique ideals
  99. Fri Oct 31 11:24:35 2025 reduce to 73739825 relations and 47895182 ideals in 7 passes
  100. Fri Oct 31 11:24:35 2025 max relations containing the same ideal: 20
  101. Fri Oct 31 11:24:54 2025 removing 5600543 relations and 3600543 ideals in 2000000 cliques
  102. Fri Oct 31 11:24:56 2025 commencing in-memory singleton removal
  103. Fri Oct 31 11:24:58 2025 begin with 68139282 relations and 47895182 unique ideals
  104. Fri Oct 31 11:25:21 2025 reduce to 67801401 relations and 43948292 ideals in 9 passes
  105. Fri Oct 31 11:25:21 2025 max relations containing the same ideal: 20
  106. Fri Oct 31 11:25:39 2025 removing 5582903 relations and 3582903 ideals in 2000000 cliques
  107. Fri Oct 31 11:25:41 2025 commencing in-memory singleton removal
  108. Fri Oct 31 11:25:43 2025 begin with 62218498 relations and 43948292 unique ideals
  109. Fri Oct 31 11:26:01 2025 reduce to 61838675 relations and 39975048 ideals in 8 passes
  110. Fri Oct 31 11:26:01 2025 max relations containing the same ideal: 19
  111. Fri Oct 31 11:26:17 2025 removing 5613792 relations and 3613792 ideals in 2000000 cliques
  112. Fri Oct 31 11:26:19 2025 commencing in-memory singleton removal
  113. Fri Oct 31 11:26:20 2025 begin with 56224883 relations and 39975048 unique ideals
  114. Fri Oct 31 11:26:39 2025 reduce to 55804970 relations and 35928268 ideals in 9 passes
  115. Fri Oct 31 11:26:39 2025 max relations containing the same ideal: 19
  116. Fri Oct 31 11:26:53 2025 removing 5647255 relations and 3647255 ideals in 2000000 cliques
  117. Fri Oct 31 11:26:55 2025 commencing in-memory singleton removal
  118. Fri Oct 31 11:26:57 2025 begin with 50157715 relations and 35928268 unique ideals
  119. Fri Oct 31 11:27:11 2025 reduce to 49694715 relations and 31802492 ideals in 8 passes
  120. Fri Oct 31 11:27:11 2025 max relations containing the same ideal: 18
  121. Fri Oct 31 11:27:24 2025 removing 5706872 relations and 3706872 ideals in 2000000 cliques
  122. Fri Oct 31 11:27:26 2025 commencing in-memory singleton removal
  123. Fri Oct 31 11:27:27 2025 begin with 43987843 relations and 31802492 unique ideals
  124. Fri Oct 31 11:27:39 2025 reduce to 43446165 relations and 27532987 ideals in 8 passes
  125. Fri Oct 31 11:27:39 2025 max relations containing the same ideal: 18
  126. Fri Oct 31 11:27:50 2025 removing 5740453 relations and 3740453 ideals in 2000000 cliques
  127. Fri Oct 31 11:27:52 2025 commencing in-memory singleton removal
  128. Fri Oct 31 11:27:53 2025 begin with 37705712 relations and 27532987 unique ideals
  129. Fri Oct 31 11:28:03 2025 reduce to 37090982 relations and 23151078 ideals in 8 passes
  130. Fri Oct 31 11:28:03 2025 max relations containing the same ideal: 17
  131. Fri Oct 31 11:28:13 2025 removing 996632 relations and 667833 ideals in 328799 cliques
  132. Fri Oct 31 11:28:14 2025 commencing in-memory singleton removal
  133. Fri Oct 31 11:28:15 2025 begin with 36094350 relations and 23151078 unique ideals
  134. Fri Oct 31 11:28:24 2025 reduce to 36038856 relations and 22427188 ideals in 8 passes
  135. Fri Oct 31 11:28:24 2025 max relations containing the same ideal: 17
  136. Fri Oct 31 11:28:35 2025 relations with 0 large ideals: 3484938
  137. Fri Oct 31 11:28:35 2025 relations with 1 large ideals: 11341053
  138. Fri Oct 31 11:28:35 2025 relations with 2 large ideals: 13585439
  139. Fri Oct 31 11:28:35 2025 relations with 3 large ideals: 6146843
  140. Fri Oct 31 11:28:35 2025 relations with 4 large ideals: 1361359
  141. Fri Oct 31 11:28:35 2025 relations with 5 large ideals: 115844
  142. Fri Oct 31 11:28:35 2025 relations with 6 large ideals: 3318
  143. Fri Oct 31 11:28:35 2025 relations with 7+ large ideals: 62
  144. Fri Oct 31 11:28:35 2025 commencing 2-way merge
  145. Fri Oct 31 11:28:48 2025 reduce to 22677217 relation sets and 9065549 unique ideals
  146. Fri Oct 31 11:28:48 2025 commencing full merge
  147. Fri Oct 31 11:29:54 2025 memory use: 937.8 MB
  148. Fri Oct 31 11:29:55 2025 found 13540178 cycles, need 11733911
  149. Fri Oct 31 11:29:59 2025 weight of 11733911 cycles is about 713973078 (60.85/cycle)
  150. Fri Oct 31 11:30:00 2025 distribution of cycle lengths:
  151. Fri Oct 31 11:30:00 2025 1 relations: 3484938
  152. Fri Oct 31 11:30:00 2025 2 relations: 1427240
  153. Fri Oct 31 11:30:00 2025 3 relations: 1069538
  154. Fri Oct 31 11:30:00 2025 4 relations: 915040
  155. Fri Oct 31 11:30:00 2025 5 relations: 836810
  156. Fri Oct 31 11:30:00 2025 6 relations: 761317
  157. Fri Oct 31 11:30:00 2025 7 relations: 694918
  158. Fri Oct 31 11:30:00 2025 8 relations: 622352
  159. Fri Oct 31 11:30:00 2025 9 relations: 549094
  160. Fri Oct 31 11:30:00 2025 10+ relations: 1372664
  161. Fri Oct 31 11:30:00 2025 heaviest cycle: 16 relations
  162. Fri Oct 31 11:30:00 2025 matrix not dense enough, retrying
  163. Fri Oct 31 11:30:01 2025 reading large ideals from disk
  164. Fri Oct 31 11:31:26 2025 keeping 99693888 ideals with weight <= 25, target excess is 9985997
  165. Fri Oct 31 11:32:57 2025 memory use: 3673.4 MB
  166. Fri Oct 31 11:32:57 2025 commencing in-memory singleton removal
  167. Fri Oct 31 11:33:05 2025 begin with 145726472 relations and 99693888 unique ideals
  168. Fri Oct 31 11:34:03 2025 reduce to 145704314 relations and 99671556 ideals in 8 passes
  169. Fri Oct 31 11:34:03 2025 max relations containing the same ideal: 25
  170. Fri Oct 31 11:35:04 2025 removing 9053221 relations and 7053221 ideals in 2000000 cliques
  171. Fri Oct 31 11:35:09 2025 commencing in-memory singleton removal
  172. Fri Oct 31 11:35:17 2025 begin with 136651093 relations and 99671556 unique ideals
  173. Fri Oct 31 11:36:09 2025 reduce to 136136755 relations and 92094424 ideals in 7 passes
  174. Fri Oct 31 11:36:09 2025 max relations containing the same ideal: 25
  175. Fri Oct 31 11:36:47 2025 removing 7008833 relations and 5008833 ideals in 2000000 cliques
  176. Fri Oct 31 11:36:51 2025 commencing in-memory singleton removal
  177. Fri Oct 31 11:36:57 2025 begin with 129127922 relations and 92094424 unique ideals
  178. Fri Oct 31 11:37:41 2025 reduce to 128785460 relations and 86737557 ideals in 7 passes
  179. Fri Oct 31 11:37:41 2025 max relations containing the same ideal: 25
  180. Fri Oct 31 11:38:16 2025 removing 6452970 relations and 4452970 ideals in 2000000 cliques
  181. Fri Oct 31 11:38:21 2025 commencing in-memory singleton removal
  182. Fri Oct 31 11:38:26 2025 begin with 122332490 relations and 86737557 unique ideals
  183. Fri Oct 31 11:39:00 2025 reduce to 122037003 relations and 81984425 ideals in 6 passes
  184. Fri Oct 31 11:39:00 2025 max relations containing the same ideal: 25
  185. Fri Oct 31 11:39:34 2025 removing 6170982 relations and 4170982 ideals in 2000000 cliques
  186. Fri Oct 31 11:39:38 2025 commencing in-memory singleton removal
  187. Fri Oct 31 11:39:43 2025 begin with 115866021 relations and 81984425 unique ideals
  188. Fri Oct 31 11:40:15 2025 reduce to 115592724 relations and 77535650 ideals in 6 passes
  189. Fri Oct 31 11:40:15 2025 max relations containing the same ideal: 25
  190. Fri Oct 31 11:40:50 2025 removing 5994395 relations and 3994395 ideals in 2000000 cliques
  191. Fri Oct 31 11:40:53 2025 commencing in-memory singleton removal
  192. Fri Oct 31 11:40:58 2025 begin with 109598329 relations and 77535650 unique ideals
  193. Fri Oct 31 11:41:27 2025 reduce to 109336163 relations and 73274628 ideals in 6 passes
  194. Fri Oct 31 11:41:27 2025 max relations containing the same ideal: 25
  195. Fri Oct 31 11:41:58 2025 removing 5849797 relations and 3849797 ideals in 2000000 cliques
  196. Fri Oct 31 11:42:01 2025 commencing in-memory singleton removal
  197. Fri Oct 31 11:42:05 2025 begin with 103486366 relations and 73274628 unique ideals
  198. Fri Oct 31 11:42:38 2025 reduce to 103225728 relations and 69159637 ideals in 7 passes
  199. Fri Oct 31 11:42:38 2025 max relations containing the same ideal: 25
  200. Fri Oct 31 11:43:07 2025 removing 5779603 relations and 3779603 ideals in 2000000 cliques
  201. Fri Oct 31 11:43:10 2025 commencing in-memory singleton removal
  202. Fri Oct 31 11:43:14 2025 begin with 97446125 relations and 69159637 unique ideals
  203. Fri Oct 31 11:43:44 2025 reduce to 97185459 relations and 65114573 ideals in 7 passes
  204. Fri Oct 31 11:43:44 2025 max relations containing the same ideal: 25
  205. Fri Oct 31 11:44:11 2025 removing 5709410 relations and 3709410 ideals in 2000000 cliques
  206. Fri Oct 31 11:44:15 2025 commencing in-memory singleton removal
  207. Fri Oct 31 11:44:19 2025 begin with 91476049 relations and 65114573 unique ideals
  208. Fri Oct 31 11:44:47 2025 reduce to 91210459 relations and 61134339 ideals in 7 passes
  209. Fri Oct 31 11:44:47 2025 max relations containing the same ideal: 25
  210. Fri Oct 31 11:45:12 2025 removing 5675004 relations and 3675004 ideals in 2000000 cliques
  211. Fri Oct 31 11:45:15 2025 commencing in-memory singleton removal
  212. Fri Oct 31 11:45:18 2025 begin with 85535455 relations and 61134339 unique ideals
  213. Fri Oct 31 11:45:44 2025 reduce to 85258274 relations and 57176402 ideals in 7 passes
  214. Fri Oct 31 11:45:44 2025 max relations containing the same ideal: 25
  215. Fri Oct 31 11:46:08 2025 removing 5634597 relations and 3634597 ideals in 2000000 cliques
  216. Fri Oct 31 11:46:11 2025 commencing in-memory singleton removal
  217. Fri Oct 31 11:46:14 2025 begin with 79623677 relations and 57176402 unique ideals
  218. Fri Oct 31 11:46:37 2025 reduce to 79338150 relations and 53249999 ideals in 7 passes
  219. Fri Oct 31 11:46:37 2025 max relations containing the same ideal: 24
  220. Fri Oct 31 11:47:00 2025 removing 5607887 relations and 3607887 ideals in 2000000 cliques
  221. Fri Oct 31 11:47:03 2025 commencing in-memory singleton removal
  222. Fri Oct 31 11:47:05 2025 begin with 73730263 relations and 53249999 unique ideals
  223. Fri Oct 31 11:47:25 2025 reduce to 73415112 relations and 49319380 ideals in 6 passes
  224. Fri Oct 31 11:47:25 2025 max relations containing the same ideal: 24
  225. Fri Oct 31 11:47:46 2025 removing 5615746 relations and 3615746 ideals in 2000000 cliques
  226. Fri Oct 31 11:47:49 2025 commencing in-memory singleton removal
  227. Fri Oct 31 11:47:51 2025 begin with 67799366 relations and 49319380 unique ideals
  228. Fri Oct 31 11:48:14 2025 reduce to 67463377 relations and 45358798 ideals in 8 passes
  229. Fri Oct 31 11:48:14 2025 max relations containing the same ideal: 23
  230. Fri Oct 31 11:48:32 2025 removing 5638915 relations and 3638915 ideals in 2000000 cliques
  231. Fri Oct 31 11:48:34 2025 commencing in-memory singleton removal
  232. Fri Oct 31 11:48:37 2025 begin with 61824462 relations and 45358798 unique ideals
  233. Fri Oct 31 11:48:59 2025 reduce to 61466569 relations and 41352120 ideals in 9 passes
  234. Fri Oct 31 11:48:59 2025 max relations containing the same ideal: 22
  235. Fri Oct 31 11:49:17 2025 removing 5646210 relations and 3646210 ideals in 2000000 cliques
  236. Fri Oct 31 11:49:19 2025 commencing in-memory singleton removal
  237. Fri Oct 31 11:49:21 2025 begin with 55820359 relations and 41352120 unique ideals
  238. Fri Oct 31 11:49:39 2025 reduce to 55427129 relations and 37300769 ideals in 8 passes
  239. Fri Oct 31 11:49:39 2025 max relations containing the same ideal: 22
  240. Fri Oct 31 11:49:54 2025 removing 5650155 relations and 3650155 ideals in 2000000 cliques
  241. Fri Oct 31 11:49:56 2025 commencing in-memory singleton removal
  242. Fri Oct 31 11:49:58 2025 begin with 49776974 relations and 37300769 unique ideals
  243. Fri Oct 31 11:50:11 2025 reduce to 49308374 relations and 33166180 ideals in 7 passes
  244. Fri Oct 31 11:50:11 2025 max relations containing the same ideal: 21
  245. Fri Oct 31 11:50:25 2025 removing 5749117 relations and 3749117 ideals in 2000000 cliques
  246. Fri Oct 31 11:50:27 2025 commencing in-memory singleton removal
  247. Fri Oct 31 11:50:28 2025 begin with 43559257 relations and 33166180 unique ideals
  248. Fri Oct 31 11:50:41 2025 reduce to 43052503 relations and 28891575 ideals in 8 passes
  249. Fri Oct 31 11:50:41 2025 max relations containing the same ideal: 20
  250. Fri Oct 31 11:50:53 2025 removing 5798621 relations and 3798621 ideals in 2000000 cliques
  251. Fri Oct 31 11:50:55 2025 commencing in-memory singleton removal
  252. Fri Oct 31 11:50:56 2025 begin with 37253882 relations and 28891575 unique ideals
  253. Fri Oct 31 11:51:07 2025 reduce to 36649820 relations and 24463030 ideals in 8 passes
  254. Fri Oct 31 11:51:07 2025 max relations containing the same ideal: 19
  255. Fri Oct 31 11:51:17 2025 removing 1893077 relations and 1290044 ideals in 603033 cliques
  256. Fri Oct 31 11:51:18 2025 commencing in-memory singleton removal
  257. Fri Oct 31 11:51:19 2025 begin with 34756743 relations and 24463030 unique ideals
  258. Fri Oct 31 11:51:28 2025 reduce to 34620203 relations and 23034102 ideals in 7 passes
  259. Fri Oct 31 11:51:28 2025 max relations containing the same ideal: 18
  260. Fri Oct 31 11:51:40 2025 relations with 0 large ideals: 2375217
  261. Fri Oct 31 11:51:40 2025 relations with 1 large ideals: 8592502
  262. Fri Oct 31 11:51:40 2025 relations with 2 large ideals: 12713672
  263. Fri Oct 31 11:51:40 2025 relations with 3 large ideals: 7931597
  264. Fri Oct 31 11:51:40 2025 relations with 4 large ideals: 2618007
  265. Fri Oct 31 11:51:40 2025 relations with 5 large ideals: 364277
  266. Fri Oct 31 11:51:40 2025 relations with 6 large ideals: 23877
  267. Fri Oct 31 11:51:40 2025 relations with 7+ large ideals: 1054
  268. Fri Oct 31 11:51:40 2025 commencing 2-way merge
  269. Fri Oct 31 11:51:55 2025 reduce to 22093090 relation sets and 10506989 unique ideals
  270. Fri Oct 31 11:51:55 2025 commencing full merge
  271. Fri Oct 31 11:53:36 2025 memory use: 1024.2 MB
  272. Fri Oct 31 11:53:38 2025 found 11187560 cycles, need 10090697
  273. Fri Oct 31 11:53:41 2025 weight of 10090697 cycles is about 981996017 (97.32/cycle)
  274. Fri Oct 31 11:53:42 2025 distribution of cycle lengths:
  275. Fri Oct 31 11:53:42 2025 1 relations: 2375355
  276. Fri Oct 31 11:53:42 2025 2 relations: 871038
  277. Fri Oct 31 11:53:42 2025 3 relations: 634798
  278. Fri Oct 31 11:53:42 2025 4 relations: 543394
  279. Fri Oct 31 11:53:42 2025 5 relations: 512364
  280. Fri Oct 31 11:53:42 2025 6 relations: 492583
  281. Fri Oct 31 11:53:42 2025 7 relations: 479824
  282. Fri Oct 31 11:53:42 2025 8 relations: 464312
  283. Fri Oct 31 11:53:42 2025 9 relations: 447082
  284. Fri Oct 31 11:53:42 2025 10+ relations: 3269947
  285. Fri Oct 31 11:53:42 2025 heaviest cycle: 25 relations
  286. Fri Oct 31 11:53:42 2025 commencing cycle optimization
  287. Fri Oct 31 11:54:00 2025 start with 70914085 relations
  288. Fri Oct 31 11:55:58 2025 pruned 7812369 relations
  289. Fri Oct 31 11:55:58 2025 memory use: 1839.7 MB
  290. Fri Oct 31 11:55:58 2025 distribution of cycle lengths:
  291. Fri Oct 31 11:55:58 2025 1 relations: 2375355
  292. Fri Oct 31 11:55:58 2025 2 relations: 909306
  293. Fri Oct 31 11:55:58 2025 3 relations: 684635
  294. Fri Oct 31 11:55:58 2025 4 relations: 601350
  295. Fri Oct 31 11:55:58 2025 5 relations: 586907
  296. Fri Oct 31 11:55:58 2025 6 relations: 577391
  297. Fri Oct 31 11:55:58 2025 7 relations: 574239
  298. Fri Oct 31 11:55:58 2025 8 relations: 557793
  299. Fri Oct 31 11:55:58 2025 9 relations: 537046
  300. Fri Oct 31 11:55:58 2025 10+ relations: 2686675
  301. Fri Oct 31 11:55:58 2025 heaviest cycle: 24 relations
  302. Fri Oct 31 11:56:12 2025 RelProcTime: 7109
  303. Fri Oct 31 11:56:15 2025
  304. Fri Oct 31 11:56:15 2025 commencing linear algebra
  305. Fri Oct 31 11:56:15 2025 using VBITS=512
  306. Fri Oct 31 11:56:16 2025 read 10090697 cycles
  307. Fri Oct 31 11:56:36 2025 cycles contain 29176986 unique relations
  308. Fri Oct 31 11:59:54 2025 read 29176986 relations
  309. Fri Oct 31 12:00:43 2025 using 20 quadratic characters above 4294917295
  310. Fri Oct 31 12:03:10 2025 building initial matrix
  311. Fri Oct 31 12:08:45 2025 memory use: 3601.8 MB
  312. Fri Oct 31 12:08:51 2025 read 10090697 cycles
  313. Fri Oct 31 12:08:52 2025 matrix is 10088941 x 10090697 (3600.6 MB) with weight 1035179717 (102.59/col)
  314. Fri Oct 31 12:08:52 2025 sparse part has weight 832881650 (82.54/col)
  315. Fri Oct 31 12:11:55 2025 filtering completed in 3 passes
  316. Fri Oct 31 12:11:57 2025 matrix is 10054533 x 10054733 (3593.2 MB) with weight 1032946142 (102.73/col)
  317. Fri Oct 31 12:11:57 2025 sparse part has weight 831325048 (82.68/col)
  318. Fri Oct 31 12:12:29 2025 matrix starts at (0, 0)
  319. Fri Oct 31 12:12:31 2025 matrix is 10054533 x 10054733 (3593.2 MB) with weight 1032946142 (102.73/col)
  320. Fri Oct 31 12:12:31 2025 sparse part has weight 831325048 (82.68/col)
  321. Fri Oct 31 12:12:31 2025 saving the first 496 matrix rows for later
  322. Fri Oct 31 12:12:33 2025 matrix includes 512 packed rows
  323. Fri Oct 31 12:12:41 2025 matrix is 10054037 x 10054733 (3493.2 MB) with weight 713095327 (70.92/col)
  324. Fri Oct 31 12:12:41 2025 sparse part has weight 674410646 (67.07/col)
  325. Fri Oct 31 12:12:42 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  326. Fri Oct 31 12:12:42 2025 selected card has CUDA arch 8.6
  327. Fri Oct 31 14:10:14 2025
  328. Fri Oct 31 14:10:14 2025
  329. Fri Oct 31 14:10:14 2025 Msieve v. 1.54 (SVN unknown)
  330. Fri Oct 31 14:10:14 2025 random seeds: 9945da6f 23422866
  331. Fri Oct 31 14:10:14 2025 factoring 328680119665325236521076895917658541856929156591774151534808539645632975885754678957179776055250564401304325290873526705325117481024802143785744049077334925038426445891867081 (174 digits)
  332. Fri Oct 31 14:10:15 2025 no P-1/P+1/ECM available, skipping
  333. Fri Oct 31 14:10:15 2025 commencing number field sieve (174-digit input)
  334. Fri Oct 31 14:10:15 2025 R0: 4491789764132651979911454690285555244710137951600270551
  335. Fri Oct 31 14:10:15 2025 R1: -1
  336. Fri Oct 31 14:10:15 2025 A0: 1
  337. Fri Oct 31 14:10:15 2025 A1: 1
  338. Fri Oct 31 14:10:15 2025 A2: 1
  339. Fri Oct 31 14:10:15 2025 A3: 1
  340. Fri Oct 31 14:10:15 2025 A4: 1
  341. Fri Oct 31 14:10:15 2025 skew 1.00, size 2.819e-22, alpha 1.694, combined = 2.739e-13 rroots = 0
  342. Fri Oct 31 14:10:15 2025
  343. Fri Oct 31 14:10:15 2025 commencing linear algebra
  344. Fri Oct 31 14:10:15 2025 using VBITS=512
  345. Fri Oct 31 14:10:15 2025 skipping matrix build
  346. Fri Oct 31 14:10:24 2025 matrix starts at (0, 0)
  347. Fri Oct 31 14:10:25 2025 matrix is 10054533 x 10054733 (3593.2 MB) with weight 1032946142 (102.73/col)
  348. Fri Oct 31 14:10:25 2025 sparse part has weight 831325048 (82.68/col)
  349. Fri Oct 31 14:10:25 2025 saving the first 496 matrix rows for later
  350. Fri Oct 31 14:10:27 2025 matrix includes 512 packed rows
  351. Fri Oct 31 14:10:33 2025 matrix is 10054037 x 10054733 (3493.2 MB) with weight 713095327 (70.92/col)
  352. Fri Oct 31 14:10:33 2025 sparse part has weight 674410646 (67.07/col)
  353. Fri Oct 31 14:10:34 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  354. Fri Oct 31 14:10:34 2025 selected card has CUDA arch 8.6
  355. Fri Oct 31 14:11:25 2025 commencing Lanczos iteration
  356. Fri Oct 31 14:11:26 2025 memory use: 10323.4 MB
  357. Fri Oct 31 14:11:59 2025 linear algebra at 0.2%, ETA 6h 0m
  358. Fri Oct 31 14:12:00 2025 checkpointing every 1680000 dimensions
  359. Fri Oct 31 20:30:00 2025 lanczos halted after 19668 iterations (dim = 10054037)
  360. Fri Oct 31 20:31:44 2025 recovered 39 nontrivial dependencies
  361. Fri Oct 31 20:31:44 2025 BLanczosTime: 22889
  362. Fri Oct 31 20:31:44 2025 elapsed time 06:21:30
  363. Fri Oct 31 20:48:50 2025
  364. Fri Oct 31 20:48:50 2025
  365. Fri Oct 31 20:48:50 2025 Msieve v. 1.54 (SVN unknown)
  366. Fri Oct 31 20:48:50 2025 random seeds: 48433d11 3bb41c66
  367. Fri Oct 31 20:48:50 2025 factoring 328680119665325236521076895917658541856929156591774151534808539645632975885754678957179776055250564401304325290873526705325117481024802143785744049077334925038426445891867081 (174 digits)
  368. Fri Oct 31 20:48:51 2025 no P-1/P+1/ECM available, skipping
  369. Fri Oct 31 20:48:51 2025 commencing number field sieve (174-digit input)
  370. Fri Oct 31 20:48:51 2025 R0: 4491789764132651979911454690285555244710137951600270551
  371. Fri Oct 31 20:48:51 2025 R1: -1
  372. Fri Oct 31 20:48:51 2025 A0: 1
  373. Fri Oct 31 20:48:51 2025 A1: 1
  374. Fri Oct 31 20:48:51 2025 A2: 1
  375. Fri Oct 31 20:48:51 2025 A3: 1
  376. Fri Oct 31 20:48:51 2025 A4: 1
  377. Fri Oct 31 20:48:51 2025 skew 1.00, size 2.819e-22, alpha 1.694, combined = 2.739e-13 rroots = 0
  378. Fri Oct 31 20:48:51 2025
  379. Fri Oct 31 20:48:51 2025 commencing square root phase
  380. Fri Oct 31 20:48:51 2025 reading relations for dependency 1
  381. Fri Oct 31 20:48:52 2025 read 5028705 cycles
  382. Fri Oct 31 20:48:58 2025 cycles contain 14572304 unique relations
  383. Fri Oct 31 20:50:08 2025 read 14572304 relations
  384. Fri Oct 31 20:50:57 2025 multiplying 14572304 relations
  385. Fri Oct 31 20:54:15 2025 multiply complete, coefficients have about 372.80 million bits
  386. Fri Oct 31 20:54:16 2025 initial square root is modulo 4889377
  387. Fri Oct 31 20:58:42 2025 sqrtTime: 591
  388. Fri Oct 31 20:58:42 2025 p72 factor: 407003514754738400506970767859336377850504980730366225789130931187195531
  389. Fri Oct 31 20:58:42 2025 p102 factor: 807560887682724095201370279427736646139757820302902513414191139550882002675853762283428649431566045051
  390. Fri Oct 31 20:58:42 2025 elapsed time 00:09:52
  391.  
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