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  1. Sat Dec 27 08:56:16 2025
  2. Sat Dec 27 08:56:16 2025
  3. Sat Dec 27 08:56:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Dec 27 08:56:16 2025 random seeds: 34496809 f5cd3310
  5. Sat Dec 27 08:56:16 2025 MPI process 0 of 1
  6. Sat Dec 27 08:56:16 2025 Using 46 OpenMP threads
  7. Sat Dec 27 08:56:16 2025 factoring 61260134035698525619311453629168732030265805989937576781012393686744988506152442395183791323191163451512079256111557607563470242126170123659012636763867164313811242262739359743362273357902292186782864728892214447114399159823 (224 digits)
  8. Sat Dec 27 08:56:17 2025 no P-1/P+1/ECM available, skipping
  9. Sat Dec 27 08:56:17 2025 commencing number field sieve (224-digit input)
  10. Sat Dec 27 08:56:17 2025 R0: -82718061255302767487140869206996285356581211090087890625
  11. Sat Dec 27 08:56:17 2025 R1: 1
  12. Sat Dec 27 08:56:17 2025 A0: 5
  13. Sat Dec 27 08:56:17 2025 A1: 0
  14. Sat Dec 27 08:56:17 2025 A2: 0
  15. Sat Dec 27 08:56:17 2025 A3: 0
  16. Sat Dec 27 08:56:17 2025 A4: 0
  17. Sat Dec 27 08:56:17 2025 A5: 0
  18. Sat Dec 27 08:56:17 2025 A6: 1
  19. Sat Dec 27 08:56:17 2025 skew 1.82, size 2.213e-16, alpha 1.565, combined = 1.553e-16 rroots = 0
  20. Sat Dec 27 08:56:17 2025
  21. Sat Dec 27 08:56:17 2025 commencing relation filtering
  22. Sat Dec 27 08:56:17 2025 setting target matrix density to 110.0
  23. Sat Dec 27 08:56:17 2025 estimated available RAM is 385608.1 MB
  24. Sat Dec 27 08:56:17 2025 commencing duplicate removal, pass 1
  25. Sat Dec 27 09:52:58 2025 skipped 4202128 relations with b > 2^32
  26. Sat Dec 27 09:52:58 2025 skipped 5 relations with composite factors
  27. Sat Dec 27 09:52:58 2025 skipped 10351 malformed relations
  28. Sat Dec 27 09:52:58 2025 found 137477589 hash collisions in 3168096022 relations
  29. Sat Dec 27 09:53:17 2025 added 1218101 free relations
  30. Sat Dec 27 09:53:17 2025 commencing duplicate removal, pass 2
  31. Sat Dec 27 10:11:56 2025 found 0 duplicates and 3169314123 unique relations
  32. Sat Dec 27 10:11:56 2025 memory use: 8870.0 MB
  33. Sat Dec 27 10:11:56 2025 reading ideals above 1992884224
  34. Sat Dec 27 10:11:56 2025 commencing singleton removal, initial pass
  35. Sat Dec 27 13:53:47 2025 memory use: 66560.0 MB
  36. Sat Dec 27 13:53:50 2025 reading all ideals from disk
  37. Sat Dec 27 13:55:22 2025 memory use: 85846.9 MB
  38. Sat Dec 27 13:59:03 2025 commencing in-memory singleton removal
  39. Sat Dec 27 13:59:20 2025 begin with 3169314123 relations and 3110646117 unique ideals
  40. Sat Dec 27 14:02:04 2025 reduce to 1443488034 relations and 1127100385 ideals in 25 passes
  41. Sat Dec 27 14:02:04 2025 max relations containing the same ideal: 36
  42. Sat Dec 27 14:03:08 2025 reading ideals above 720000
  43. Sat Dec 27 14:03:10 2025 commencing singleton removal, initial pass
  44. Sat Dec 27 16:27:38 2025 memory use: 41024.0 MB
  45. Sat Dec 27 16:27:39 2025 reading all ideals from disk
  46. Sat Dec 27 16:29:36 2025 memory use: 80663.2 MB
  47. Sat Dec 27 16:34:09 2025 keeping 1314337675 ideals with weight <= 200, target excess is 8493556
  48. Sat Dec 27 16:39:52 2025 commencing in-memory singleton removal
  49. Sat Dec 27 16:40:11 2025 begin with 1443488034 relations and 1314337675 unique ideals
  50. Sat Dec 27 16:42:00 2025 reduce to 1442745366 relations and 1313594945 ideals in 18 passes
  51. Sat Dec 27 16:42:00 2025 max relations containing the same ideal: 200
  52. Sat Dec 27 16:53:40 2025 removing 34368414 relations and 32368414 ideals in 2000000 cliques
  53. Sat Dec 27 16:54:39 2025 commencing in-memory singleton removal
  54. Sat Dec 27 16:54:53 2025 begin with 1408376952 relations and 1313594945 unique ideals
  55. Sat Dec 27 16:56:05 2025 reduce to 1407653991 relations and 1280501564 ideals in 11 passes
  56. Sat Dec 27 16:56:05 2025 max relations containing the same ideal: 200
  57. Sat Dec 27 17:06:53 2025 removing 24849172 relations and 22849172 ideals in 2000000 cliques
  58. Sat Dec 27 17:07:50 2025 commencing in-memory singleton removal
  59. Sat Dec 27 17:08:03 2025 begin with 1382804819 relations and 1280501564 unique ideals
  60. Sat Dec 27 17:09:14 2025 reduce to 1382410449 relations and 1257257161 ideals in 11 passes
  61. Sat Dec 27 17:09:14 2025 max relations containing the same ideal: 200
  62. Sat Dec 27 17:19:37 2025 removing 21786858 relations and 19786858 ideals in 2000000 cliques
  63. Sat Dec 27 17:20:27 2025 commencing in-memory singleton removal
  64. Sat Dec 27 17:20:40 2025 begin with 1360623591 relations and 1257257161 unique ideals
  65. Sat Dec 27 17:21:42 2025 reduce to 1360313591 relations and 1237159681 ideals in 10 passes
  66. Sat Dec 27 17:21:42 2025 max relations containing the same ideal: 200
  67. Sat Dec 27 17:32:46 2025 removing 19989403 relations and 17989403 ideals in 2000000 cliques
  68. Sat Dec 27 17:33:35 2025 commencing in-memory singleton removal
  69. Sat Dec 27 17:33:47 2025 begin with 1340324188 relations and 1237159681 unique ideals
  70. Sat Dec 27 17:34:45 2025 reduce to 1340061994 relations and 1218907542 ideals in 9 passes
  71. Sat Dec 27 17:34:45 2025 max relations containing the same ideal: 198
  72. Sat Dec 27 17:44:29 2025 removing 18749970 relations and 16749970 ideals in 2000000 cliques
  73. Sat Dec 27 17:45:17 2025 commencing in-memory singleton removal
  74. Sat Dec 27 17:45:29 2025 begin with 1321312024 relations and 1218907542 unique ideals
  75. Sat Dec 27 17:46:28 2025 reduce to 1321076394 relations and 1201921533 ideals in 10 passes
  76. Sat Dec 27 17:46:28 2025 max relations containing the same ideal: 197
  77. Sat Dec 27 17:55:55 2025 removing 17816823 relations and 15816823 ideals in 2000000 cliques
  78. Sat Dec 27 17:56:43 2025 commencing in-memory singleton removal
  79. Sat Dec 27 17:56:56 2025 begin with 1303259571 relations and 1201921533 unique ideals
  80. Sat Dec 27 17:57:54 2025 reduce to 1303045736 relations and 1185890465 ideals in 9 passes
  81. Sat Dec 27 17:57:54 2025 max relations containing the same ideal: 195
  82. Sat Dec 27 18:07:24 2025 removing 17073868 relations and 15073868 ideals in 2000000 cliques
  83. Sat Dec 27 18:08:10 2025 commencing in-memory singleton removal
  84. Sat Dec 27 18:08:23 2025 begin with 1285971868 relations and 1185890465 unique ideals
  85. Sat Dec 27 18:09:17 2025 reduce to 1285774423 relations and 1170618772 ideals in 9 passes
  86. Sat Dec 27 18:09:17 2025 max relations containing the same ideal: 194
  87. Sat Dec 27 18:19:23 2025 removing 16465504 relations and 14465504 ideals in 2000000 cliques
  88. Sat Dec 27 18:20:10 2025 commencing in-memory singleton removal
  89. Sat Dec 27 18:20:23 2025 begin with 1269308919 relations and 1170618772 unique ideals
  90. Sat Dec 27 18:21:13 2025 reduce to 1269121724 relations and 1155965749 ideals in 8 passes
  91. Sat Dec 27 18:21:13 2025 max relations containing the same ideal: 194
  92. Sat Dec 27 18:30:35 2025 removing 15955420 relations and 13955420 ideals in 2000000 cliques
  93. Sat Dec 27 18:31:24 2025 commencing in-memory singleton removal
  94. Sat Dec 27 18:31:37 2025 begin with 1253166304 relations and 1155965749 unique ideals
  95. Sat Dec 27 18:32:25 2025 reduce to 1252989654 relations and 1141833326 ideals in 8 passes
  96. Sat Dec 27 18:32:25 2025 max relations containing the same ideal: 193
  97. Sat Dec 27 18:41:49 2025 removing 15511968 relations and 13511968 ideals in 2000000 cliques
  98. Sat Dec 27 18:42:35 2025 commencing in-memory singleton removal
  99. Sat Dec 27 18:42:47 2025 begin with 1237477686 relations and 1141833326 unique ideals
  100. Sat Dec 27 18:43:33 2025 reduce to 1237308091 relations and 1128151497 ideals in 8 passes
  101. Sat Dec 27 18:43:33 2025 max relations containing the same ideal: 192
  102. Sat Dec 27 18:53:22 2025 removing 15134069 relations and 13134069 ideals in 2000000 cliques
  103. Sat Dec 27 18:54:06 2025 commencing in-memory singleton removal
  104. Sat Dec 27 18:54:19 2025 begin with 1222174022 relations and 1128151497 unique ideals
  105. Sat Dec 27 18:55:05 2025 reduce to 1222010999 relations and 1114854113 ideals in 8 passes
  106. Sat Dec 27 18:55:05 2025 max relations containing the same ideal: 190
  107. Sat Dec 27 19:03:56 2025 removing 14795272 relations and 12795272 ideals in 2000000 cliques
  108. Sat Dec 27 19:04:43 2025 commencing in-memory singleton removal
  109. Sat Dec 27 19:04:56 2025 begin with 1207215727 relations and 1114854113 unique ideals
  110. Sat Dec 27 19:05:37 2025 reduce to 1207058147 relations and 1101901000 ideals in 7 passes
  111. Sat Dec 27 19:05:37 2025 max relations containing the same ideal: 189
  112. Sat Dec 27 19:14:11 2025 removing 14492593 relations and 12492593 ideals in 2000000 cliques
  113. Sat Dec 27 19:14:55 2025 commencing in-memory singleton removal
  114. Sat Dec 27 19:15:08 2025 begin with 1192565554 relations and 1101901000 unique ideals
  115. Sat Dec 27 19:15:53 2025 reduce to 1192412965 relations and 1089255526 ideals in 8 passes
  116. Sat Dec 27 19:15:53 2025 max relations containing the same ideal: 188
  117. Sat Dec 27 19:23:59 2025 removing 14227855 relations and 12227855 ideals in 2000000 cliques
  118. Sat Dec 27 19:24:40 2025 commencing in-memory singleton removal
  119. Sat Dec 27 19:24:53 2025 begin with 1178185110 relations and 1089255526 unique ideals
  120. Sat Dec 27 19:25:38 2025 reduce to 1178037905 relations and 1076880246 ideals in 8 passes
  121. Sat Dec 27 19:25:38 2025 max relations containing the same ideal: 187
  122. Sat Dec 27 19:34:35 2025 removing 13974950 relations and 11974950 ideals in 2000000 cliques
  123. Sat Dec 27 19:35:16 2025 commencing in-memory singleton removal
  124. Sat Dec 27 19:35:29 2025 begin with 1164062955 relations and 1076880246 unique ideals
  125. Sat Dec 27 19:36:11 2025 reduce to 1163918175 relations and 1064760269 ideals in 8 passes
  126. Sat Dec 27 19:36:11 2025 max relations containing the same ideal: 185
  127. Sat Dec 27 19:44:04 2025 removing 13755517 relations and 11755517 ideals in 2000000 cliques
  128. Sat Dec 27 19:44:45 2025 commencing in-memory singleton removal
  129. Sat Dec 27 19:44:57 2025 begin with 1150162658 relations and 1064760269 unique ideals
  130. Sat Dec 27 19:45:38 2025 reduce to 1150022702 relations and 1052864532 ideals in 8 passes
  131. Sat Dec 27 19:45:38 2025 max relations containing the same ideal: 184
  132. Sat Dec 27 19:53:25 2025 removing 13544598 relations and 11544598 ideals in 2000000 cliques
  133. Sat Dec 27 19:54:07 2025 commencing in-memory singleton removal
  134. Sat Dec 27 19:54:20 2025 begin with 1136478104 relations and 1052864532 unique ideals
  135. Sat Dec 27 19:54:58 2025 reduce to 1136341088 relations and 1041182683 ideals in 7 passes
  136. Sat Dec 27 19:54:58 2025 max relations containing the same ideal: 184
  137. Sat Dec 27 20:02:36 2025 removing 13360556 relations and 11360556 ideals in 2000000 cliques
  138. Sat Dec 27 20:03:17 2025 commencing in-memory singleton removal
  139. Sat Dec 27 20:03:29 2025 begin with 1122980532 relations and 1041182683 unique ideals
  140. Sat Dec 27 20:04:10 2025 reduce to 1122845274 relations and 1029686636 ideals in 8 passes
  141. Sat Dec 27 20:04:10 2025 max relations containing the same ideal: 183
  142. Sat Dec 27 20:11:40 2025 removing 13188503 relations and 11188503 ideals in 2000000 cliques
  143. Sat Dec 27 20:12:19 2025 commencing in-memory singleton removal
  144. Sat Dec 27 20:12:31 2025 begin with 1109656771 relations and 1029686636 unique ideals
  145. Sat Dec 27 20:13:08 2025 reduce to 1109524515 relations and 1018365641 ideals in 7 passes
  146. Sat Dec 27 20:13:08 2025 max relations containing the same ideal: 183
  147. Sat Dec 27 20:20:45 2025 removing 13028224 relations and 11028224 ideals in 2000000 cliques
  148. Sat Dec 27 20:21:24 2025 commencing in-memory singleton removal
  149. Sat Dec 27 20:21:35 2025 begin with 1096496291 relations and 1018365641 unique ideals
  150. Sat Dec 27 20:22:14 2025 reduce to 1096365704 relations and 1007206608 ideals in 8 passes
  151. Sat Dec 27 20:22:14 2025 max relations containing the same ideal: 180
  152. Sat Dec 27 20:29:36 2025 removing 12873011 relations and 10873011 ideals in 2000000 cliques
  153. Sat Dec 27 20:30:14 2025 commencing in-memory singleton removal
  154. Sat Dec 27 20:30:26 2025 begin with 1083492693 relations and 1007206608 unique ideals
  155. Sat Dec 27 20:31:03 2025 reduce to 1083362964 relations and 996203626 ideals in 7 passes
  156. Sat Dec 27 20:31:03 2025 max relations containing the same ideal: 179
  157. Sat Dec 27 20:39:04 2025 removing 12734603 relations and 10734603 ideals in 2000000 cliques
  158. Sat Dec 27 20:39:41 2025 commencing in-memory singleton removal
  159. Sat Dec 27 20:39:52 2025 begin with 1070628361 relations and 996203626 unique ideals
  160. Sat Dec 27 20:40:32 2025 reduce to 1070500460 relations and 985340913 ideals in 8 passes
  161. Sat Dec 27 20:40:32 2025 max relations containing the same ideal: 177
  162. Sat Dec 27 20:47:48 2025 removing 12605059 relations and 10605059 ideals in 2000000 cliques
  163. Sat Dec 27 20:48:24 2025 commencing in-memory singleton removal
  164. Sat Dec 27 20:48:36 2025 begin with 1057895401 relations and 985340913 unique ideals
  165. Sat Dec 27 20:49:12 2025 reduce to 1057770175 relations and 974610379 ideals in 7 passes
  166. Sat Dec 27 20:49:12 2025 max relations containing the same ideal: 175
  167. Sat Dec 27 20:57:12 2025 removing 12482972 relations and 10482972 ideals in 2000000 cliques
  168. Sat Dec 27 20:57:51 2025 commencing in-memory singleton removal
  169. Sat Dec 27 20:58:04 2025 begin with 1045287203 relations and 974610379 unique ideals
  170. Sat Dec 27 20:58:47 2025 reduce to 1045163056 relations and 964003020 ideals in 8 passes
  171. Sat Dec 27 20:58:47 2025 max relations containing the same ideal: 174
  172. Sat Dec 27 21:06:17 2025 removing 12368199 relations and 10368199 ideals in 2000000 cliques
  173. Sat Dec 27 21:06:52 2025 commencing in-memory singleton removal
  174. Sat Dec 27 21:07:04 2025 begin with 1032794857 relations and 964003020 unique ideals
  175. Sat Dec 27 21:07:39 2025 reduce to 1032671548 relations and 953511297 ideals in 7 passes
  176. Sat Dec 27 21:07:39 2025 max relations containing the same ideal: 174
  177. Sat Dec 27 21:14:39 2025 removing 12259127 relations and 10259127 ideals in 2000000 cliques
  178. Sat Dec 27 21:15:14 2025 commencing in-memory singleton removal
  179. Sat Dec 27 21:15:25 2025 begin with 1020412421 relations and 953511297 unique ideals
  180. Sat Dec 27 21:16:03 2025 reduce to 1020289427 relations and 943128952 ideals in 8 passes
  181. Sat Dec 27 21:16:03 2025 max relations containing the same ideal: 173
  182. Sat Dec 27 21:22:59 2025 removing 12156726 relations and 10156726 ideals in 2000000 cliques
  183. Sat Dec 27 21:23:34 2025 commencing in-memory singleton removal
  184. Sat Dec 27 21:23:45 2025 begin with 1008132701 relations and 943128952 unique ideals
  185. Sat Dec 27 21:24:20 2025 reduce to 1008011169 relations and 932850453 ideals in 7 passes
  186. Sat Dec 27 21:24:20 2025 max relations containing the same ideal: 173
  187. Sat Dec 27 21:31:06 2025 removing 12056849 relations and 10056849 ideals in 2000000 cliques
  188. Sat Dec 27 21:31:40 2025 commencing in-memory singleton removal
  189. Sat Dec 27 21:31:52 2025 begin with 995954320 relations and 932850453 unique ideals
  190. Sat Dec 27 21:32:27 2025 reduce to 995832443 relations and 922671495 ideals in 7 passes
  191. Sat Dec 27 21:32:27 2025 max relations containing the same ideal: 169
  192. Sat Dec 27 21:39:58 2025 removing 11971475 relations and 9971475 ideals in 2000000 cliques
  193. Sat Dec 27 21:40:32 2025 commencing in-memory singleton removal
  194. Sat Dec 27 21:40:43 2025 begin with 983860968 relations and 922671495 unique ideals
  195. Sat Dec 27 21:41:17 2025 reduce to 983739274 relations and 912578063 ideals in 8 passes
  196. Sat Dec 27 21:41:17 2025 max relations containing the same ideal: 168
  197. Sat Dec 27 21:48:33 2025 removing 11883912 relations and 9883912 ideals in 2000000 cliques
  198. Sat Dec 27 21:49:07 2025 commencing in-memory singleton removal
  199. Sat Dec 27 21:49:18 2025 begin with 971855362 relations and 912578063 unique ideals
  200. Sat Dec 27 21:49:50 2025 reduce to 971734550 relations and 902573098 ideals in 7 passes
  201. Sat Dec 27 21:49:50 2025 max relations containing the same ideal: 167
  202. Sat Dec 27 21:56:31 2025 removing 11799320 relations and 9799320 ideals in 2000000 cliques
  203. Sat Dec 27 21:57:04 2025 commencing in-memory singleton removal
  204. Sat Dec 27 21:57:15 2025 begin with 959935230 relations and 902573098 unique ideals
  205. Sat Dec 27 21:57:45 2025 reduce to 959815822 relations and 892654149 ideals in 6 passes
  206. Sat Dec 27 21:57:45 2025 max relations containing the same ideal: 166
  207. Sat Dec 27 22:04:22 2025 removing 11721859 relations and 9721859 ideals in 2000000 cliques
  208. Sat Dec 27 22:04:55 2025 commencing in-memory singleton removal
  209. Sat Dec 27 22:05:05 2025 begin with 948093963 relations and 892654149 unique ideals
  210. Sat Dec 27 22:05:35 2025 reduce to 947974420 relations and 882812490 ideals in 6 passes
  211. Sat Dec 27 22:05:35 2025 max relations containing the same ideal: 165
  212. Sat Dec 27 22:11:57 2025 removing 11647009 relations and 9647009 ideals in 2000000 cliques
  213. Sat Dec 27 22:12:29 2025 commencing in-memory singleton removal
  214. Sat Dec 27 22:12:39 2025 begin with 936327411 relations and 882812490 unique ideals
  215. Sat Dec 27 22:13:09 2025 reduce to 936207504 relations and 873045333 ideals in 7 passes
  216. Sat Dec 27 22:13:09 2025 max relations containing the same ideal: 164
  217. Sat Dec 27 22:19:26 2025 removing 11576295 relations and 9576295 ideals in 2000000 cliques
  218. Sat Dec 27 22:19:57 2025 commencing in-memory singleton removal
  219. Sat Dec 27 22:20:08 2025 begin with 924631209 relations and 873045333 unique ideals
  220. Sat Dec 27 22:20:38 2025 reduce to 924512570 relations and 863350177 ideals in 7 passes
  221. Sat Dec 27 22:20:38 2025 max relations containing the same ideal: 163
  222. Sat Dec 27 22:26:50 2025 removing 11513512 relations and 9513512 ideals in 2000000 cliques
  223. Sat Dec 27 22:27:22 2025 commencing in-memory singleton removal
  224. Sat Dec 27 22:27:32 2025 begin with 912999058 relations and 863350177 unique ideals
  225. Sat Dec 27 22:28:02 2025 reduce to 912879805 relations and 853717164 ideals in 7 passes
  226. Sat Dec 27 22:28:02 2025 max relations containing the same ideal: 161
  227. Sat Dec 27 22:34:11 2025 removing 11448795 relations and 9448795 ideals in 2000000 cliques
  228. Sat Dec 27 22:34:41 2025 commencing in-memory singleton removal
  229. Sat Dec 27 22:34:51 2025 begin with 901431010 relations and 853717164 unique ideals
  230. Sat Dec 27 22:35:21 2025 reduce to 901310445 relations and 844147566 ideals in 7 passes
  231. Sat Dec 27 22:35:21 2025 max relations containing the same ideal: 159
  232. Sat Dec 27 22:41:22 2025 removing 11390310 relations and 9390310 ideals in 2000000 cliques
  233. Sat Dec 27 22:41:52 2025 commencing in-memory singleton removal
  234. Sat Dec 27 22:42:02 2025 begin with 889920135 relations and 844147566 unique ideals
  235. Sat Dec 27 22:42:32 2025 reduce to 889801281 relations and 834638139 ideals in 7 passes
  236. Sat Dec 27 22:42:32 2025 max relations containing the same ideal: 158
  237. Sat Dec 27 22:48:32 2025 removing 11332501 relations and 9332501 ideals in 2000000 cliques
  238. Sat Dec 27 22:49:02 2025 commencing in-memory singleton removal
  239. Sat Dec 27 22:49:11 2025 begin with 878468780 relations and 834638139 unique ideals
  240. Sat Dec 27 22:49:41 2025 reduce to 878346832 relations and 825183421 ideals in 7 passes
  241. Sat Dec 27 22:49:41 2025 max relations containing the same ideal: 156
  242. Sat Dec 27 22:55:32 2025 removing 11276951 relations and 9276951 ideals in 2000000 cliques
  243. Sat Dec 27 22:56:02 2025 commencing in-memory singleton removal
  244. Sat Dec 27 22:56:11 2025 begin with 867069881 relations and 825183421 unique ideals
  245. Sat Dec 27 22:56:41 2025 reduce to 866948994 relations and 815785294 ideals in 8 passes
  246. Sat Dec 27 22:56:41 2025 max relations containing the same ideal: 154
  247. Sat Dec 27 23:02:26 2025 removing 11228182 relations and 9228182 ideals in 2000000 cliques
  248. Sat Dec 27 23:02:55 2025 commencing in-memory singleton removal
  249. Sat Dec 27 23:03:04 2025 begin with 855720812 relations and 815785294 unique ideals
  250. Sat Dec 27 23:03:31 2025 reduce to 855599291 relations and 806435295 ideals in 7 passes
  251. Sat Dec 27 23:03:31 2025 max relations containing the same ideal: 153
  252. Sat Dec 27 23:09:07 2025 removing 11181182 relations and 9181182 ideals in 2000000 cliques
  253. Sat Dec 27 23:09:36 2025 commencing in-memory singleton removal
  254. Sat Dec 27 23:09:45 2025 begin with 844418109 relations and 806435295 unique ideals
  255. Sat Dec 27 23:10:14 2025 reduce to 844296170 relations and 797131886 ideals in 8 passes
  256. Sat Dec 27 23:10:14 2025 max relations containing the same ideal: 151
  257. Sat Dec 27 23:15:41 2025 removing 11136054 relations and 9136054 ideals in 2000000 cliques
  258. Sat Dec 27 23:16:10 2025 commencing in-memory singleton removal
  259. Sat Dec 27 23:16:19 2025 begin with 833160116 relations and 797131886 unique ideals
  260. Sat Dec 27 23:16:48 2025 reduce to 833038630 relations and 787874048 ideals in 8 passes
  261. Sat Dec 27 23:16:48 2025 max relations containing the same ideal: 149
  262. Sat Dec 27 23:22:08 2025 removing 11086809 relations and 9086809 ideals in 2000000 cliques
  263. Sat Dec 27 23:22:36 2025 commencing in-memory singleton removal
  264. Sat Dec 27 23:22:44 2025 begin with 821951821 relations and 787874048 unique ideals
  265. Sat Dec 27 23:23:11 2025 reduce to 821828674 relations and 778663796 ideals in 7 passes
  266. Sat Dec 27 23:23:11 2025 max relations containing the same ideal: 147
  267. Sat Dec 27 23:28:19 2025 removing 11051223 relations and 9051223 ideals in 2000000 cliques
  268. Sat Dec 27 23:28:46 2025 commencing in-memory singleton removal
  269. Sat Dec 27 23:28:55 2025 begin with 810777451 relations and 778663796 unique ideals
  270. Sat Dec 27 23:29:21 2025 reduce to 810653750 relations and 769488572 ideals in 7 passes
  271. Sat Dec 27 23:29:21 2025 max relations containing the same ideal: 146
  272. Sat Dec 27 23:34:27 2025 removing 11011891 relations and 9011891 ideals in 2000000 cliques
  273. Sat Dec 27 23:34:54 2025 commencing in-memory singleton removal
  274. Sat Dec 27 23:35:03 2025 begin with 799641859 relations and 769488572 unique ideals
  275. Sat Dec 27 23:35:31 2025 reduce to 799516650 relations and 760351147 ideals in 8 passes
  276. Sat Dec 27 23:35:31 2025 max relations containing the same ideal: 145
  277. Sat Dec 27 23:40:29 2025 removing 10980126 relations and 8980126 ideals in 2000000 cliques
  278. Sat Dec 27 23:40:56 2025 commencing in-memory singleton removal
  279. Sat Dec 27 23:41:05 2025 begin with 788536524 relations and 760351147 unique ideals
  280. Sat Dec 27 23:41:30 2025 reduce to 788411436 relations and 751245594 ideals in 7 passes
  281. Sat Dec 27 23:41:30 2025 max relations containing the same ideal: 144
  282. Sat Dec 27 23:46:24 2025 removing 10939613 relations and 8939613 ideals in 2000000 cliques
  283. Sat Dec 27 23:46:51 2025 commencing in-memory singleton removal
  284. Sat Dec 27 23:46:59 2025 begin with 777471823 relations and 751245594 unique ideals
  285. Sat Dec 27 23:47:22 2025 reduce to 777345208 relations and 742179049 ideals in 6 passes
  286. Sat Dec 27 23:47:22 2025 max relations containing the same ideal: 143
  287. Sat Dec 27 23:52:10 2025 removing 10911638 relations and 8911638 ideals in 2000000 cliques
  288. Sat Dec 27 23:52:37 2025 commencing in-memory singleton removal
  289. Sat Dec 27 23:52:45 2025 begin with 766433570 relations and 742179049 unique ideals
  290. Sat Dec 27 23:53:08 2025 reduce to 766306477 relations and 733140000 ideals in 6 passes
  291. Sat Dec 27 23:53:08 2025 max relations containing the same ideal: 142
  292. Sat Dec 27 23:58:28 2025 removing 10886877 relations and 8886877 ideals in 2000000 cliques
  293. Sat Dec 27 23:58:55 2025 commencing in-memory singleton removal
  294. Sat Dec 27 23:59:03 2025 begin with 755419600 relations and 733140000 unique ideals
  295. Sat Dec 27 23:59:26 2025 reduce to 755290350 relations and 724123504 ideals in 6 passes
  296. Sat Dec 27 23:59:26 2025 max relations containing the same ideal: 140
  297. Sun Dec 28 00:04:35 2025 removing 10856752 relations and 8856752 ideals in 2000000 cliques
  298. Sun Dec 28 00:05:02 2025 commencing in-memory singleton removal
  299. Sun Dec 28 00:05:10 2025 begin with 744433598 relations and 724123504 unique ideals
  300. Sun Dec 28 00:05:33 2025 reduce to 744302806 relations and 715135624 ideals in 7 passes
  301. Sun Dec 28 00:05:33 2025 max relations containing the same ideal: 140
  302. Sun Dec 28 00:10:44 2025 removing 10833532 relations and 8833532 ideals in 2000000 cliques
  303. Sun Dec 28 00:11:10 2025 commencing in-memory singleton removal
  304. Sun Dec 28 00:11:18 2025 begin with 733469274 relations and 715135624 unique ideals
  305. Sun Dec 28 00:11:42 2025 reduce to 733337330 relations and 706169826 ideals in 8 passes
  306. Sun Dec 28 00:11:42 2025 max relations containing the same ideal: 138
  307. Sun Dec 28 00:16:14 2025 removing 10811772 relations and 8811772 ideals in 2000000 cliques
  308. Sun Dec 28 00:16:39 2025 commencing in-memory singleton removal
  309. Sun Dec 28 00:16:47 2025 begin with 722525558 relations and 706169826 unique ideals
  310. Sun Dec 28 00:17:10 2025 reduce to 722390547 relations and 697222640 ideals in 7 passes
  311. Sun Dec 28 00:17:10 2025 max relations containing the same ideal: 136
  312. Sun Dec 28 00:22:04 2025 removing 10796710 relations and 8796710 ideals in 2000000 cliques
  313. Sun Dec 28 00:22:29 2025 commencing in-memory singleton removal
  314. Sun Dec 28 00:22:36 2025 begin with 711593837 relations and 697222640 unique ideals
  315. Sun Dec 28 00:22:59 2025 reduce to 711457920 relations and 688289620 ideals in 7 passes
  316. Sun Dec 28 00:22:59 2025 max relations containing the same ideal: 134
  317. Sun Dec 28 00:27:06 2025 removing 10778580 relations and 8778580 ideals in 2000000 cliques
  318. Sun Dec 28 00:27:31 2025 commencing in-memory singleton removal
  319. Sun Dec 28 00:27:38 2025 begin with 700679340 relations and 688289620 unique ideals
  320. Sun Dec 28 00:27:58 2025 reduce to 700541866 relations and 679373210 ideals in 6 passes
  321. Sun Dec 28 00:27:58 2025 max relations containing the same ideal: 131
  322. Sun Dec 28 00:32:03 2025 removing 10764636 relations and 8764636 ideals in 2000000 cliques
  323. Sun Dec 28 00:32:28 2025 commencing in-memory singleton removal
  324. Sun Dec 28 00:32:35 2025 begin with 689777230 relations and 679373210 unique ideals
  325. Sun Dec 28 00:32:58 2025 reduce to 689638586 relations and 670469587 ideals in 7 passes
  326. Sun Dec 28 00:32:58 2025 max relations containing the same ideal: 131
  327. Sun Dec 28 00:36:55 2025 removing 10748346 relations and 8748346 ideals in 2000000 cliques
  328. Sun Dec 28 00:37:19 2025 commencing in-memory singleton removal
  329. Sun Dec 28 00:37:26 2025 begin with 678890240 relations and 670469587 unique ideals
  330. Sun Dec 28 00:37:49 2025 reduce to 678748726 relations and 661579358 ideals in 8 passes
  331. Sun Dec 28 00:37:49 2025 max relations containing the same ideal: 130
  332. Sun Dec 28 00:41:45 2025 removing 10741969 relations and 8741969 ideals in 2000000 cliques
  333. Sun Dec 28 00:42:08 2025 commencing in-memory singleton removal
  334. Sun Dec 28 00:42:15 2025 begin with 668006757 relations and 661579358 unique ideals
  335. Sun Dec 28 00:42:35 2025 reduce to 667862082 relations and 652692292 ideals in 6 passes
  336. Sun Dec 28 00:42:35 2025 max relations containing the same ideal: 129
  337. Sun Dec 28 00:46:22 2025 removing 10734735 relations and 8734735 ideals in 2000000 cliques
  338. Sun Dec 28 00:46:45 2025 commencing in-memory singleton removal
  339. Sun Dec 28 00:46:52 2025 begin with 657127347 relations and 652692292 unique ideals
  340. Sun Dec 28 00:47:15 2025 reduce to 656979980 relations and 643809754 ideals in 8 passes
  341. Sun Dec 28 00:47:15 2025 max relations containing the same ideal: 127
  342. Sun Dec 28 00:50:55 2025 removing 10731125 relations and 8731125 ideals in 2000000 cliques
  343. Sun Dec 28 00:51:18 2025 commencing in-memory singleton removal
  344. Sun Dec 28 00:51:25 2025 begin with 646248855 relations and 643809754 unique ideals
  345. Sun Dec 28 00:51:45 2025 reduce to 646099901 relations and 634929218 ideals in 7 passes
  346. Sun Dec 28 00:51:45 2025 max relations containing the same ideal: 126
  347. Sun Dec 28 00:55:23 2025 removing 7540819 relations and 6222661 ideals in 1318158 cliques
  348. Sun Dec 28 00:55:44 2025 commencing in-memory singleton removal
  349. Sun Dec 28 00:55:51 2025 begin with 638559082 relations and 634929218 unique ideals
  350. Sun Dec 28 00:56:11 2025 reduce to 638484155 relations and 628631491 ideals in 7 passes
  351. Sun Dec 28 00:56:11 2025 max relations containing the same ideal: 125
  352. Sun Dec 28 01:01:43 2025 relations with 0 large ideals: 332598
  353. Sun Dec 28 01:01:43 2025 relations with 1 large ideals: 271326
  354. Sun Dec 28 01:01:43 2025 relations with 2 large ideals: 3078895
  355. Sun Dec 28 01:01:43 2025 relations with 3 large ideals: 18653653
  356. Sun Dec 28 01:01:43 2025 relations with 4 large ideals: 65384242
  357. Sun Dec 28 01:01:43 2025 relations with 5 large ideals: 139215577
  358. Sun Dec 28 01:01:43 2025 relations with 6 large ideals: 181668791
  359. Sun Dec 28 01:01:43 2025 relations with 7+ large ideals: 229879073
  360. Sun Dec 28 01:01:43 2025 commencing 2-way merge
  361. Sun Dec 28 01:07:42 2025 reduce to 391432383 relation sets and 381579719 unique ideals
  362. Sun Dec 28 01:07:42 2025 commencing full merge
  363. Sun Dec 28 03:05:28 2025 memory use: 42240.8 MB
  364. Sun Dec 28 03:06:28 2025 found 186440078 cycles, need 185151919
  365. Sun Dec 28 03:08:07 2025 weight of 185151919 cycles is about 20366942405 (110.00/cycle)
  366. Sun Dec 28 03:08:09 2025 distribution of cycle lengths:
  367. Sun Dec 28 03:08:09 2025 1 relations: 13438200
  368. Sun Dec 28 03:08:09 2025 2 relations: 17227709
  369. Sun Dec 28 03:08:09 2025 3 relations: 18910866
  370. Sun Dec 28 03:08:09 2025 4 relations: 18060243
  371. Sun Dec 28 03:08:09 2025 5 relations: 16544647
  372. Sun Dec 28 03:08:09 2025 6 relations: 15163046
  373. Sun Dec 28 03:08:09 2025 7 relations: 13523550
  374. Sun Dec 28 03:08:09 2025 8 relations: 12200452
  375. Sun Dec 28 03:08:09 2025 9 relations: 10875829
  376. Sun Dec 28 03:08:09 2025 10+ relations: 49207377
  377. Sun Dec 28 03:08:09 2025 heaviest cycle: 24 relations
  378. Sun Dec 28 03:09:12 2025 commencing cycle optimization
  379. Sun Dec 28 03:16:44 2025 start with 1285589179 relations
  380. Sun Dec 28 04:02:55 2025 pruned 32679816 relations
  381. Sun Dec 28 04:03:15 2025 memory use: 39694.2 MB
  382. Sun Dec 28 04:03:16 2025 distribution of cycle lengths:
  383. Sun Dec 28 04:03:16 2025 1 relations: 13438200
  384. Sun Dec 28 04:03:16 2025 2 relations: 17620498
  385. Sun Dec 28 04:03:16 2025 3 relations: 19602693
  386. Sun Dec 28 04:03:16 2025 4 relations: 18514503
  387. Sun Dec 28 04:03:16 2025 5 relations: 16987462
  388. Sun Dec 28 04:03:16 2025 6 relations: 15427136
  389. Sun Dec 28 04:03:16 2025 7 relations: 13750381
  390. Sun Dec 28 04:03:16 2025 8 relations: 12317815
  391. Sun Dec 28 04:03:16 2025 9 relations: 10942140
  392. Sun Dec 28 04:03:16 2025 10+ relations: 46551091
  393. Sun Dec 28 04:03:16 2025 heaviest cycle: 23 relations
  394. Sun Dec 28 04:11:08 2025 RelProcTime: 69291
  395. Sun Dec 28 04:12:08 2025 elapsed time 19:15:52
  396. Sun Dec 28 04:12:11 2025
  397. Sun Dec 28 04:12:11 2025
  398. Sun Dec 28 04:12:11 2025 Msieve v. 1.54 (SVN Unversioned directory)
  399. Sun Dec 28 04:12:11 2025 random seeds: 792b849b edbe1fb1
  400. Sun Dec 28 04:12:11 2025 MPI process 0 of 1
  401. Sun Dec 28 04:12:11 2025 Using 46 OpenMP threads
  402. Sun Dec 28 04:12:11 2025 factoring 61260134035698525619311453629168732030265805989937576781012393686744988506152442395183791323191163451512079256111557607563470242126170123659012636763867164313811242262739359743362273357902292186782864728892214447114399159823 (224 digits)
  403. Sun Dec 28 04:12:12 2025 no P-1/P+1/ECM available, skipping
  404. Sun Dec 28 04:12:12 2025 commencing number field sieve (224-digit input)
  405. Sun Dec 28 04:12:12 2025 R0: -82718061255302767487140869206996285356581211090087890625
  406. Sun Dec 28 04:12:12 2025 R1: 1
  407. Sun Dec 28 04:12:12 2025 A0: 5
  408. Sun Dec 28 04:12:12 2025 A1: 0
  409. Sun Dec 28 04:12:12 2025 A2: 0
  410. Sun Dec 28 04:12:12 2025 A3: 0
  411. Sun Dec 28 04:12:12 2025 A4: 0
  412. Sun Dec 28 04:12:12 2025 A5: 0
  413. Sun Dec 28 04:12:12 2025 A6: 1
  414. Sun Dec 28 04:12:12 2025 skew 1.82, size 2.213e-16, alpha 1.565, combined = 1.553e-16 rroots = 0
  415. Sun Dec 28 04:12:12 2025
  416. Sun Dec 28 04:12:12 2025 commencing linear algebra
  417. Sun Dec 28 04:12:12 2025 using VBITS=256
  418. Sun Dec 28 04:12:12 2025 stopping after matrix build
  419. Sun Dec 28 04:12:12 2025 initialized process (0,0) of 1 x 1 grid
  420. Sun Dec 28 04:12:43 2025 read 185151919 cycles
  421. Sun Dec 28 04:20:55 2025 cycles contain 632572551 unique relations
  422. Sun Dec 28 04:34:25 2025 read 632572551 relations
  423. Sun Dec 28 04:35:24 2025 using 20 quadratic characters above 4294917295
  424. Sun Dec 28 04:37:08 2025 building initial matrix
  425. Sun Dec 28 07:41:48 2025 memory use: 88045.4 MB
  426. Sun Dec 28 07:45:16 2025 read 185151919 cycles
  427. Sun Dec 28 07:45:47 2025 matrix is 185151735 x 185151919 (82385.5 MB) with weight 23553880624 (127.21/col)
  428. Sun Dec 28 07:45:47 2025 sparse part has weight 19560206365 (105.64/col)
  429. Sun Dec 28 08:56:43 2025 filtering completed in 2 passes
  430. Sun Dec 28 08:57:25 2025 matrix is 185103341 x 185103515 (82382.1 MB) with weight 23552495368 (127.24/col)
  431. Sun Dec 28 08:57:25 2025 sparse part has weight 19559832305 (105.67/col)
  432. Sun Dec 28 09:06:41 2025 BLanczosTime: 17669
  433. Sun Dec 28 09:06:41 2025 elapsed time 04:54:30
  434. Mon Dec 29 02:39:06 2025
  435. Mon Dec 29 02:39:06 2025
  436. Mon Dec 29 02:39:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  437. Mon Dec 29 02:39:06 2025 random seeds: bd3b3fb0 d0b01599
  438. Mon Dec 29 02:39:06 2025 MPI process 0 of 4
  439. Mon Dec 29 02:39:06 2025 Using 15 OpenMP threads
  440. Mon Dec 29 02:39:06 2025 factoring 61260134035698525619311453629168732030265805989937576781012393686744988506152442395183791323191163451512079256111557607563470242126170123659012636763867164313811242262739359743362273357902292186782864728892214447114399159823 (224 digits)
  441. Mon Dec 29 02:39:06 2025 no P-1/P+1/ECM available, skipping
  442. Mon Dec 29 02:39:06 2025 commencing number field sieve (224-digit input)
  443. Mon Dec 29 02:39:06 2025 R0: -82718061255302767487140869206996285356581211090087890625
  444. Mon Dec 29 02:39:06 2025 R1: 1
  445. Mon Dec 29 02:39:06 2025 A0: 5
  446. Mon Dec 29 02:39:06 2025 A1: 0
  447. Mon Dec 29 02:39:06 2025 A2: 0
  448. Mon Dec 29 02:39:06 2025 A3: 0
  449. Mon Dec 29 02:39:06 2025 A4: 0
  450. Mon Dec 29 02:39:06 2025 A5: 0
  451. Mon Dec 29 02:39:06 2025 A6: 1
  452. Mon Dec 29 02:39:06 2025 skew 1.82, size 2.213e-16, alpha 1.565, combined = 1.553e-16 rroots = 0
  453. Mon Dec 29 02:39:06 2025
  454. Mon Dec 29 02:39:06 2025 commencing linear algebra
  455. Mon Dec 29 02:39:06 2025 using VBITS=256
  456. Mon Dec 29 02:39:06 2025 skipping matrix build
  457. Mon Dec 29 02:39:06 2025 initialized process (0,0) of 2 x 2 grid
  458. Mon Dec 29 02:40:55 2025 matrix starts at (0, 0)
  459. Mon Dec 29 02:41:00 2025 matrix is 92551791 x 92551893 (23995.8 MB) with weight 7268630548 (78.54/col)
  460. Mon Dec 29 02:41:00 2025 sparse part has weight 5272289621 (56.97/col)
  461. Mon Dec 29 02:41:00 2025 saving the first 240 matrix rows for later
  462. Mon Dec 29 02:41:17 2025 matrix includes 256 packed rows
  463. Mon Dec 29 02:41:29 2025 matrix is 92551551 x 92551893 (21696.3 MB) with weight 4511063403 (48.74/col)
  464. Mon Dec 29 02:41:29 2025 sparse part has weight 4206715626 (45.45/col)
  465. Mon Dec 29 02:41:29 2025 using GPU 0 (NVIDIA H200)
  466. Mon Dec 29 02:41:29 2025 selected card has CUDA arch 9.0
  467. Mon Dec 29 02:48:03 2025 commencing Lanczos iteration
  468. Mon Dec 29 02:48:07 2025 memory use: 51159.8 MB
  469. Mon Dec 29 02:49:01 2025 linear algebra at 0.0%, ETA 87h18m
  470. Mon Dec 29 02:50:18 2025 checking every 30000 dimensions, checkpointing every 2160000 dimensions
  471. Thu Jan 1 17:21:00 2026 lanczos halted after 725233 iterations (dim = 185103094)
  472. Thu Jan 1 17:33:11 2026 recovered 35 nontrivial dependencies
  473. Thu Jan 1 17:33:14 2026 BLanczosTime: 312848
  474. Thu Jan 1 17:33:14 2026 elapsed time 86:54:08
  475. Thu Jan 1 17:33:17 2026
  476. Thu Jan 1 17:33:17 2026
  477. Thu Jan 1 17:33:17 2026 Msieve v. 1.54 (SVN Unversioned directory)
  478. Thu Jan 1 17:33:17 2026 random seeds: be1b845b b656b02d
  479. Thu Jan 1 17:33:17 2026 MPI process 0 of 1
  480. Thu Jan 1 17:33:17 2026 Using 32 OpenMP threads
  481. Thu Jan 1 17:33:17 2026 factoring 61260134035698525619311453629168732030265805989937576781012393686744988506152442395183791323191163451512079256111557607563470242126170123659012636763867164313811242262739359743362273357902292186782864728892214447114399159823 (224 digits)
  482. Thu Jan 1 17:33:18 2026 no P-1/P+1/ECM available, skipping
  483. Thu Jan 1 17:33:18 2026 commencing number field sieve (224-digit input)
  484. Thu Jan 1 17:33:18 2026 R0: -82718061255302767487140869206996285356581211090087890625
  485. Thu Jan 1 17:33:18 2026 R1: 1
  486. Thu Jan 1 17:33:18 2026 A0: 5
  487. Thu Jan 1 17:33:18 2026 A1: 0
  488. Thu Jan 1 17:33:18 2026 A2: 0
  489. Thu Jan 1 17:33:18 2026 A3: 0
  490. Thu Jan 1 17:33:18 2026 A4: 0
  491. Thu Jan 1 17:33:18 2026 A5: 0
  492. Thu Jan 1 17:33:18 2026 A6: 1
  493. Thu Jan 1 17:33:18 2026 skew 1.82, size 2.213e-16, alpha 1.565, combined = 1.553e-16 rroots = 0
  494. Thu Jan 1 17:33:18 2026
  495. Thu Jan 1 17:33:18 2026 commencing square root phase
  496. Thu Jan 1 17:33:18 2026 reading relations for dependency 1
  497. Thu Jan 1 17:33:36 2026 read 92546986 cycles
  498. Thu Jan 1 17:36:13 2026 cycles contain 316280586 unique relations
  499. Thu Jan 1 17:45:44 2026 read 316280586 relations
  500. Thu Jan 1 18:10:29 2026 multiplying 316280586 relations
  501. Thu Jan 1 18:31:54 2026 multiply complete, coefficients have about 9315.96 million bits
  502. Thu Jan 1 18:32:16 2026 initial square root is modulo 167611
  503. Thu Jan 1 19:33:15 2026 sqrtTime: 7197
  504. Thu Jan 1 19:33:15 2026 p83 factor: 13198231698853779789977006268870146888130204348803893480379746068435079657105693687
  505. Thu Jan 1 19:33:15 2026 p142 factor: 4641541036214628188461923175892902089012119045257514476706911017412704634781658284602575525876769259240453231261618463714845168117906149826729
  506. Thu Jan 1 19:33:15 2026 elapsed time 01:59:58
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