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gchilders
Apr 6th, 2026
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  1. Wed Apr 1 21:22:14 2026
  2. Wed Apr 1 21:22:14 2026
  3. Wed Apr 1 21:22:14 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 1 21:22:14 2026 random seeds: 7f41b1c8 8eca6a4a
  5. Wed Apr 1 21:22:14 2026 MPI process 0 of 1
  6. Wed Apr 1 21:22:14 2026 Using 46 OpenMP threads
  7. Wed Apr 1 21:22:14 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits)
  8. Wed Apr 1 21:22:16 2026 no P-1/P+1/ECM available, skipping
  9. Wed Apr 1 21:22:16 2026 commencing number field sieve (335-digit input)
  10. Wed Apr 1 21:22:16 2026 R0: -65523154680015478367958613982466477539475498743447420928
  11. Wed Apr 1 21:22:16 2026 R1: 1
  12. Wed Apr 1 21:22:16 2026 A0: -3
  13. Wed Apr 1 21:22:16 2026 A1: 0
  14. Wed Apr 1 21:22:16 2026 A2: 0
  15. Wed Apr 1 21:22:16 2026 A3: 0
  16. Wed Apr 1 21:22:16 2026 A4: 0
  17. Wed Apr 1 21:22:16 2026 A5: 0
  18. Wed Apr 1 21:22:16 2026 A6: 16
  19. Wed Apr 1 21:22:16 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2
  20. Wed Apr 1 21:22:16 2026
  21. Wed Apr 1 21:22:16 2026 commencing relation filtering
  22. Wed Apr 1 21:22:16 2026 setting target matrix density to 110.0
  23. Wed Apr 1 21:22:16 2026 estimated available RAM is 385608.3 MB
  24. Wed Apr 1 21:22:16 2026 commencing duplicate removal, pass 1
  25. Wed Apr 1 22:03:37 2026 skipped 10898019 relations with b > 2^32
  26. Wed Apr 1 22:03:37 2026 skipped 16 relations with composite factors
  27. Wed Apr 1 22:03:37 2026 skipped 4630 malformed relations
  28. Wed Apr 1 22:03:37 2026 found 136609405 hash collisions in 3157764696 relations
  29. Wed Apr 1 22:03:47 2026 added 1219066 free relations
  30. Wed Apr 1 22:03:47 2026 commencing duplicate removal, pass 2
  31. Wed Apr 1 22:19:16 2026 found 1 duplicates and 3158983761 unique relations
  32. Wed Apr 1 22:19:16 2026 memory use: 8870.0 MB
  33. Wed Apr 1 22:19:16 2026 reading ideals above 1944125440
  34. Wed Apr 1 22:19:16 2026 commencing singleton removal, initial pass
  35. Thu Apr 2 01:50:14 2026 memory use: 66560.0 MB
  36. Thu Apr 2 01:50:16 2026 reading all ideals from disk
  37. Thu Apr 2 01:51:24 2026 memory use: 86052.7 MB
  38. Thu Apr 2 01:54:42 2026 commencing in-memory singleton removal
  39. Thu Apr 2 01:54:59 2026 begin with 3158983761 relations and 3108946454 unique ideals
  40. Thu Apr 2 01:56:47 2026 reduce to 1434163853 relations and 1126270747 ideals in 22 passes
  41. Thu Apr 2 01:56:47 2026 max relations containing the same ideal: 34
  42. Thu Apr 2 01:57:27 2026 reading ideals above 720000
  43. Thu Apr 2 01:57:29 2026 commencing singleton removal, initial pass
  44. Thu Apr 2 04:08:08 2026 memory use: 41024.0 MB
  45. Thu Apr 2 04:08:09 2026 reading all ideals from disk
  46. Thu Apr 2 04:09:30 2026 memory use: 80205.4 MB
  47. Thu Apr 2 04:13:26 2026 keeping 1308997012 ideals with weight <= 200, target excess is 8451385
  48. Thu Apr 2 04:17:04 2026 commencing in-memory singleton removal
  49. Thu Apr 2 04:17:19 2026 begin with 1434163853 relations and 1308997012 unique ideals
  50. Thu Apr 2 04:19:00 2026 reduce to 1433495883 relations and 1308329005 ideals in 19 passes
  51. Thu Apr 2 04:19:00 2026 max relations containing the same ideal: 200
  52. Thu Apr 2 04:28:04 2026 removing 34307013 relations and 32307013 ideals in 2000000 cliques
  53. Thu Apr 2 04:28:41 2026 commencing in-memory singleton removal
  54. Thu Apr 2 04:28:54 2026 begin with 1399188870 relations and 1308329005 unique ideals
  55. Thu Apr 2 04:29:52 2026 reduce to 1398465599 relations and 1275296724 ideals in 10 passes
  56. Thu Apr 2 04:29:52 2026 max relations containing the same ideal: 200
  57. Thu Apr 2 04:38:11 2026 removing 24807965 relations and 22807965 ideals in 2000000 cliques
  58. Thu Apr 2 04:38:46 2026 commencing in-memory singleton removal
  59. Thu Apr 2 04:38:59 2026 begin with 1373657634 relations and 1275296724 unique ideals
  60. Thu Apr 2 04:39:51 2026 reduce to 1373264797 relations and 1252095039 ideals in 10 passes
  61. Thu Apr 2 04:39:51 2026 max relations containing the same ideal: 200
  62. Thu Apr 2 04:47:49 2026 removing 21746439 relations and 19746439 ideals in 2000000 cliques
  63. Thu Apr 2 04:48:19 2026 commencing in-memory singleton removal
  64. Thu Apr 2 04:48:33 2026 begin with 1351518358 relations and 1252095039 unique ideals
  65. Thu Apr 2 04:49:23 2026 reduce to 1351208682 relations and 1232038364 ideals in 10 passes
  66. Thu Apr 2 04:49:23 2026 max relations containing the same ideal: 200
  67. Thu Apr 2 04:57:13 2026 removing 19949784 relations and 17949784 ideals in 2000000 cliques
  68. Thu Apr 2 04:57:42 2026 commencing in-memory singleton removal
  69. Thu Apr 2 04:57:56 2026 begin with 1331258898 relations and 1232038364 unique ideals
  70. Thu Apr 2 04:58:45 2026 reduce to 1330996043 relations and 1213825225 ideals in 10 passes
  71. Thu Apr 2 04:58:45 2026 max relations containing the same ideal: 199
  72. Thu Apr 2 05:06:23 2026 removing 18715234 relations and 16715234 ideals in 2000000 cliques
  73. Thu Apr 2 05:06:52 2026 commencing in-memory singleton removal
  74. Thu Apr 2 05:07:06 2026 begin with 1312280809 relations and 1213825225 unique ideals
  75. Thu Apr 2 05:07:51 2026 reduce to 1312045060 relations and 1196873781 ideals in 9 passes
  76. Thu Apr 2 05:07:51 2026 max relations containing the same ideal: 198
  77. Thu Apr 2 05:15:26 2026 removing 17781167 relations and 15781167 ideals in 2000000 cliques
  78. Thu Apr 2 05:15:53 2026 commencing in-memory singleton removal
  79. Thu Apr 2 05:16:06 2026 begin with 1294263893 relations and 1196873781 unique ideals
  80. Thu Apr 2 05:16:47 2026 reduce to 1294050563 relations and 1180878910 ideals in 8 passes
  81. Thu Apr 2 05:16:47 2026 max relations containing the same ideal: 197
  82. Thu Apr 2 05:24:11 2026 removing 17038260 relations and 15038260 ideals in 2000000 cliques
  83. Thu Apr 2 05:24:39 2026 commencing in-memory singleton removal
  84. Thu Apr 2 05:24:52 2026 begin with 1277012303 relations and 1180878910 unique ideals
  85. Thu Apr 2 05:25:39 2026 reduce to 1276814744 relations and 1165642771 ideals in 10 passes
  86. Thu Apr 2 05:25:39 2026 max relations containing the same ideal: 196
  87. Thu Apr 2 05:32:53 2026 removing 16433573 relations and 14433573 ideals in 2000000 cliques
  88. Thu Apr 2 05:33:19 2026 commencing in-memory singleton removal
  89. Thu Apr 2 05:33:32 2026 begin with 1260381171 relations and 1165642771 unique ideals
  90. Thu Apr 2 05:34:09 2026 reduce to 1260193138 relations and 1151020842 ideals in 7 passes
  91. Thu Apr 2 05:34:09 2026 max relations containing the same ideal: 194
  92. Thu Apr 2 05:41:06 2026 removing 15916167 relations and 13916167 ideals in 2000000 cliques
  93. Thu Apr 2 05:41:32 2026 commencing in-memory singleton removal
  94. Thu Apr 2 05:41:44 2026 begin with 1244276971 relations and 1151020842 unique ideals
  95. Thu Apr 2 05:42:27 2026 reduce to 1244100006 relations and 1136927407 ideals in 9 passes
  96. Thu Apr 2 05:42:27 2026 max relations containing the same ideal: 192
  97. Thu Apr 2 05:49:30 2026 removing 15487066 relations and 13487066 ideals in 2000000 cliques
  98. Thu Apr 2 05:49:56 2026 commencing in-memory singleton removal
  99. Thu Apr 2 05:50:08 2026 begin with 1228612940 relations and 1136927407 unique ideals
  100. Thu Apr 2 05:50:43 2026 reduce to 1228444749 relations and 1123271862 ideals in 7 passes
  101. Thu Apr 2 05:50:43 2026 max relations containing the same ideal: 191
  102. Thu Apr 2 05:57:44 2026 removing 15101399 relations and 13101399 ideals in 2000000 cliques
  103. Thu Apr 2 05:58:09 2026 commencing in-memory singleton removal
  104. Thu Apr 2 05:58:21 2026 begin with 1213343350 relations and 1123271862 unique ideals
  105. Thu Apr 2 05:59:03 2026 reduce to 1213181774 relations and 1110008626 ideals in 9 passes
  106. Thu Apr 2 05:59:03 2026 max relations containing the same ideal: 190
  107. Thu Apr 2 06:05:52 2026 removing 14759730 relations and 12759730 ideals in 2000000 cliques
  108. Thu Apr 2 06:06:19 2026 commencing in-memory singleton removal
  109. Thu Apr 2 06:06:31 2026 begin with 1198422044 relations and 1110008626 unique ideals
  110. Thu Apr 2 06:07:09 2026 reduce to 1198264670 relations and 1097091240 ideals in 8 passes
  111. Thu Apr 2 06:07:09 2026 max relations containing the same ideal: 189
  112. Thu Apr 2 06:14:00 2026 removing 14465913 relations and 12465913 ideals in 2000000 cliques
  113. Thu Apr 2 06:14:24 2026 commencing in-memory singleton removal
  114. Thu Apr 2 06:14:36 2026 begin with 1183798757 relations and 1097091240 unique ideals
  115. Thu Apr 2 06:15:13 2026 reduce to 1183647320 relations and 1084473608 ideals in 8 passes
  116. Thu Apr 2 06:15:13 2026 max relations containing the same ideal: 189
  117. Thu Apr 2 06:21:48 2026 removing 14195354 relations and 12195354 ideals in 2000000 cliques
  118. Thu Apr 2 06:22:13 2026 commencing in-memory singleton removal
  119. Thu Apr 2 06:22:25 2026 begin with 1169451966 relations and 1084473608 unique ideals
  120. Thu Apr 2 06:23:03 2026 reduce to 1169305649 relations and 1072131681 ideals in 8 passes
  121. Thu Apr 2 06:23:03 2026 max relations containing the same ideal: 187
  122. Thu Apr 2 06:29:36 2026 removing 13943422 relations and 11943422 ideals in 2000000 cliques
  123. Thu Apr 2 06:30:00 2026 commencing in-memory singleton removal
  124. Thu Apr 2 06:30:12 2026 begin with 1155362227 relations and 1072131681 unique ideals
  125. Thu Apr 2 06:30:45 2026 reduce to 1155218582 relations and 1060044384 ideals in 7 passes
  126. Thu Apr 2 06:30:45 2026 max relations containing the same ideal: 186
  127. Thu Apr 2 06:37:08 2026 removing 13723871 relations and 11723871 ideals in 2000000 cliques
  128. Thu Apr 2 06:37:32 2026 commencing in-memory singleton removal
  129. Thu Apr 2 06:37:44 2026 begin with 1141494711 relations and 1060044384 unique ideals
  130. Thu Apr 2 06:38:17 2026 reduce to 1141355704 relations and 1048181284 ideals in 7 passes
  131. Thu Apr 2 06:38:17 2026 max relations containing the same ideal: 185
  132. Thu Apr 2 06:44:40 2026 removing 13517465 relations and 11517465 ideals in 2000000 cliques
  133. Thu Apr 2 06:45:04 2026 commencing in-memory singleton removal
  134. Thu Apr 2 06:45:15 2026 begin with 1127838239 relations and 1048181284 unique ideals
  135. Thu Apr 2 06:45:49 2026 reduce to 1127700193 relations and 1036525564 ideals in 7 passes
  136. Thu Apr 2 06:45:49 2026 max relations containing the same ideal: 182
  137. Thu Apr 2 06:52:09 2026 removing 13326515 relations and 11326515 ideals in 2000000 cliques
  138. Thu Apr 2 06:52:32 2026 commencing in-memory singleton removal
  139. Thu Apr 2 06:52:44 2026 begin with 1114373678 relations and 1036525564 unique ideals
  140. Thu Apr 2 06:53:20 2026 reduce to 1114239504 relations and 1025064631 ideals in 8 passes
  141. Thu Apr 2 06:53:20 2026 max relations containing the same ideal: 181
  142. Thu Apr 2 06:59:32 2026 removing 13156765 relations and 11156765 ideals in 2000000 cliques
  143. Thu Apr 2 06:59:56 2026 commencing in-memory singleton removal
  144. Thu Apr 2 07:00:07 2026 begin with 1101082739 relations and 1025064631 unique ideals
  145. Thu Apr 2 07:00:39 2026 reduce to 1100949692 relations and 1013774578 ideals in 7 passes
  146. Thu Apr 2 07:00:39 2026 max relations containing the same ideal: 180
  147. Thu Apr 2 07:06:48 2026 removing 12992752 relations and 10992752 ideals in 2000000 cliques
  148. Thu Apr 2 07:07:11 2026 commencing in-memory singleton removal
  149. Thu Apr 2 07:07:23 2026 begin with 1087956940 relations and 1013774578 unique ideals
  150. Thu Apr 2 07:07:55 2026 reduce to 1087826411 relations and 1002651065 ideals in 7 passes
  151. Thu Apr 2 07:07:55 2026 max relations containing the same ideal: 180
  152. Thu Apr 2 07:13:49 2026 removing 12847664 relations and 10847664 ideals in 2000000 cliques
  153. Thu Apr 2 07:14:12 2026 commencing in-memory singleton removal
  154. Thu Apr 2 07:14:23 2026 begin with 1074978747 relations and 1002651065 unique ideals
  155. Thu Apr 2 07:14:59 2026 reduce to 1074848514 relations and 991672928 ideals in 8 passes
  156. Thu Apr 2 07:14:59 2026 max relations containing the same ideal: 179
  157. Thu Apr 2 07:21:10 2026 removing 12704640 relations and 10704640 ideals in 2000000 cliques
  158. Thu Apr 2 07:21:32 2026 commencing in-memory singleton removal
  159. Thu Apr 2 07:21:43 2026 begin with 1062143874 relations and 991672928 unique ideals
  160. Thu Apr 2 07:22:18 2026 reduce to 1062015715 relations and 980839864 ideals in 8 passes
  161. Thu Apr 2 07:22:18 2026 max relations containing the same ideal: 178
  162. Thu Apr 2 07:28:08 2026 removing 12572710 relations and 10572710 ideals in 2000000 cliques
  163. Thu Apr 2 07:28:30 2026 commencing in-memory singleton removal
  164. Thu Apr 2 07:28:41 2026 begin with 1049443005 relations and 980839864 unique ideals
  165. Thu Apr 2 07:29:12 2026 reduce to 1049316965 relations and 970140874 ideals in 7 passes
  166. Thu Apr 2 07:29:12 2026 max relations containing the same ideal: 175
  167. Thu Apr 2 07:34:54 2026 removing 12455585 relations and 10455585 ideals in 2000000 cliques
  168. Thu Apr 2 07:35:16 2026 commencing in-memory singleton removal
  169. Thu Apr 2 07:35:28 2026 begin with 1036861380 relations and 970140874 unique ideals
  170. Thu Apr 2 07:36:02 2026 reduce to 1036736656 relations and 959560347 ideals in 8 passes
  171. Thu Apr 2 07:36:02 2026 max relations containing the same ideal: 173
  172. Thu Apr 2 07:41:46 2026 removing 12339685 relations and 10339685 ideals in 2000000 cliques
  173. Thu Apr 2 07:42:07 2026 commencing in-memory singleton removal
  174. Thu Apr 2 07:42:18 2026 begin with 1024396971 relations and 959560347 unique ideals
  175. Thu Apr 2 07:42:48 2026 reduce to 1024273597 relations and 949097067 ideals in 7 passes
  176. Thu Apr 2 07:42:48 2026 max relations containing the same ideal: 172
  177. Thu Apr 2 07:48:24 2026 removing 12229883 relations and 10229883 ideals in 2000000 cliques
  178. Thu Apr 2 07:48:45 2026 commencing in-memory singleton removal
  179. Thu Apr 2 07:48:56 2026 begin with 1012043714 relations and 949097067 unique ideals
  180. Thu Apr 2 07:49:26 2026 reduce to 1011920424 relations and 938743633 ideals in 7 passes
  181. Thu Apr 2 07:49:26 2026 max relations containing the same ideal: 172
  182. Thu Apr 2 07:54:56 2026 removing 12124938 relations and 10124938 ideals in 2000000 cliques
  183. Thu Apr 2 07:55:17 2026 commencing in-memory singleton removal
  184. Thu Apr 2 07:55:28 2026 begin with 999795486 relations and 938743633 unique ideals
  185. Thu Apr 2 07:55:57 2026 reduce to 999672986 relations and 928495959 ideals in 7 passes
  186. Thu Apr 2 07:55:57 2026 max relations containing the same ideal: 170
  187. Thu Apr 2 08:01:25 2026 removing 12028576 relations and 10028576 ideals in 2000000 cliques
  188. Thu Apr 2 08:01:46 2026 commencing in-memory singleton removal
  189. Thu Apr 2 08:01:56 2026 begin with 987644410 relations and 928495959 unique ideals
  190. Thu Apr 2 08:02:27 2026 reduce to 987523331 relations and 918346057 ideals in 8 passes
  191. Thu Apr 2 08:02:27 2026 max relations containing the same ideal: 170
  192. Thu Apr 2 08:07:44 2026 removing 11938066 relations and 9938066 ideals in 2000000 cliques
  193. Thu Apr 2 08:08:04 2026 commencing in-memory singleton removal
  194. Thu Apr 2 08:08:14 2026 begin with 975585265 relations and 918346057 unique ideals
  195. Thu Apr 2 08:08:45 2026 reduce to 975464201 relations and 908286682 ideals in 8 passes
  196. Thu Apr 2 08:08:45 2026 max relations containing the same ideal: 169
  197. Thu Apr 2 08:14:15 2026 removing 11855744 relations and 9855744 ideals in 2000000 cliques
  198. Thu Apr 2 08:14:35 2026 commencing in-memory singleton removal
  199. Thu Apr 2 08:14:45 2026 begin with 963608457 relations and 908286682 unique ideals
  200. Thu Apr 2 08:15:12 2026 reduce to 963487181 relations and 898309410 ideals in 7 passes
  201. Thu Apr 2 08:15:12 2026 max relations containing the same ideal: 165
  202. Thu Apr 2 08:20:33 2026 removing 11767940 relations and 9767940 ideals in 2000000 cliques
  203. Thu Apr 2 08:20:54 2026 commencing in-memory singleton removal
  204. Thu Apr 2 08:21:04 2026 begin with 951719241 relations and 898309410 unique ideals
  205. Thu Apr 2 08:21:31 2026 reduce to 951598216 relations and 888420210 ideals in 7 passes
  206. Thu Apr 2 08:21:31 2026 max relations containing the same ideal: 165
  207. Thu Apr 2 08:26:36 2026 removing 11693292 relations and 9693292 ideals in 2000000 cliques
  208. Thu Apr 2 08:26:56 2026 commencing in-memory singleton removal
  209. Thu Apr 2 08:27:06 2026 begin with 939904924 relations and 888420210 unique ideals
  210. Thu Apr 2 08:27:30 2026 reduce to 939784969 relations and 878606712 ideals in 6 passes
  211. Thu Apr 2 08:27:30 2026 max relations containing the same ideal: 163
  212. Thu Apr 2 08:32:31 2026 removing 11620926 relations and 9620926 ideals in 2000000 cliques
  213. Thu Apr 2 08:32:51 2026 commencing in-memory singleton removal
  214. Thu Apr 2 08:33:01 2026 begin with 928164043 relations and 878606712 unique ideals
  215. Thu Apr 2 08:33:30 2026 reduce to 928044235 relations and 868865733 ideals in 7 passes
  216. Thu Apr 2 08:33:30 2026 max relations containing the same ideal: 163
  217. Thu Apr 2 08:38:49 2026 removing 11553292 relations and 9553292 ideals in 2000000 cliques
  218. Thu Apr 2 08:39:09 2026 commencing in-memory singleton removal
  219. Thu Apr 2 08:39:18 2026 begin with 916490943 relations and 868865733 unique ideals
  220. Thu Apr 2 08:39:44 2026 reduce to 916371809 relations and 859193059 ideals in 7 passes
  221. Thu Apr 2 08:39:44 2026 max relations containing the same ideal: 161
  222. Thu Apr 2 08:44:38 2026 removing 11488278 relations and 9488278 ideals in 2000000 cliques
  223. Thu Apr 2 08:44:57 2026 commencing in-memory singleton removal
  224. Thu Apr 2 08:45:06 2026 begin with 904883531 relations and 859193059 unique ideals
  225. Thu Apr 2 08:45:31 2026 reduce to 904763500 relations and 849584493 ideals in 7 passes
  226. Thu Apr 2 08:45:31 2026 max relations containing the same ideal: 158
  227. Thu Apr 2 08:50:17 2026 removing 11424811 relations and 9424811 ideals in 2000000 cliques
  228. Thu Apr 2 08:50:35 2026 commencing in-memory singleton removal
  229. Thu Apr 2 08:50:45 2026 begin with 893338689 relations and 849584493 unique ideals
  230. Thu Apr 2 08:51:10 2026 reduce to 893218336 relations and 840039073 ideals in 7 passes
  231. Thu Apr 2 08:51:10 2026 max relations containing the same ideal: 157
  232. Thu Apr 2 08:55:55 2026 removing 11367367 relations and 9367367 ideals in 2000000 cliques
  233. Thu Apr 2 08:56:13 2026 commencing in-memory singleton removal
  234. Thu Apr 2 08:56:23 2026 begin with 881850969 relations and 840039073 unique ideals
  235. Thu Apr 2 08:56:50 2026 reduce to 881730679 relations and 830551149 ideals in 7 passes
  236. Thu Apr 2 08:56:50 2026 max relations containing the same ideal: 157
  237. Thu Apr 2 09:01:32 2026 removing 11308951 relations and 9308951 ideals in 2000000 cliques
  238. Thu Apr 2 09:01:51 2026 commencing in-memory singleton removal
  239. Thu Apr 2 09:02:00 2026 begin with 870421728 relations and 830551149 unique ideals
  240. Thu Apr 2 09:02:25 2026 reduce to 870302172 relations and 821122384 ideals in 7 passes
  241. Thu Apr 2 09:02:25 2026 max relations containing the same ideal: 156
  242. Thu Apr 2 09:07:03 2026 removing 11259562 relations and 9259562 ideals in 2000000 cliques
  243. Thu Apr 2 09:07:21 2026 commencing in-memory singleton removal
  244. Thu Apr 2 09:07:31 2026 begin with 859042610 relations and 821122384 unique ideals
  245. Thu Apr 2 09:07:56 2026 reduce to 858921564 relations and 811741511 ideals in 7 passes
  246. Thu Apr 2 09:07:56 2026 max relations containing the same ideal: 155
  247. Thu Apr 2 09:12:20 2026 removing 11206128 relations and 9206128 ideals in 2000000 cliques
  248. Thu Apr 2 09:12:38 2026 commencing in-memory singleton removal
  249. Thu Apr 2 09:12:47 2026 begin with 847715436 relations and 811741511 unique ideals
  250. Thu Apr 2 09:13:13 2026 reduce to 847593180 relations and 802412843 ideals in 7 passes
  251. Thu Apr 2 09:13:13 2026 max relations containing the same ideal: 153
  252. Thu Apr 2 09:17:40 2026 removing 11160642 relations and 9160642 ideals in 2000000 cliques
  253. Thu Apr 2 09:17:58 2026 commencing in-memory singleton removal
  254. Thu Apr 2 09:18:07 2026 begin with 836432538 relations and 802412843 unique ideals
  255. Thu Apr 2 09:18:31 2026 reduce to 836309553 relations and 793128949 ideals in 7 passes
  256. Thu Apr 2 09:18:31 2026 max relations containing the same ideal: 151
  257. Thu Apr 2 09:22:52 2026 removing 11117565 relations and 9117565 ideals in 2000000 cliques
  258. Thu Apr 2 09:23:09 2026 commencing in-memory singleton removal
  259. Thu Apr 2 09:23:18 2026 begin with 825191988 relations and 793128949 unique ideals
  260. Thu Apr 2 09:23:42 2026 reduce to 825069177 relations and 783888303 ideals in 7 passes
  261. Thu Apr 2 09:23:42 2026 max relations containing the same ideal: 150
  262. Thu Apr 2 09:27:54 2026 removing 11077862 relations and 9077862 ideals in 2000000 cliques
  263. Thu Apr 2 09:28:11 2026 commencing in-memory singleton removal
  264. Thu Apr 2 09:28:20 2026 begin with 813991315 relations and 783888303 unique ideals
  265. Thu Apr 2 09:28:44 2026 reduce to 813866985 relations and 774685808 ideals in 7 passes
  266. Thu Apr 2 09:28:44 2026 max relations containing the same ideal: 149
  267. Thu Apr 2 09:32:56 2026 removing 11034648 relations and 9034648 ideals in 2000000 cliques
  268. Thu Apr 2 09:33:13 2026 commencing in-memory singleton removal
  269. Thu Apr 2 09:33:21 2026 begin with 802832337 relations and 774685808 unique ideals
  270. Thu Apr 2 09:33:42 2026 reduce to 802707127 relations and 765525666 ideals in 6 passes
  271. Thu Apr 2 09:33:42 2026 max relations containing the same ideal: 147
  272. Thu Apr 2 09:37:46 2026 removing 10999148 relations and 8999148 ideals in 2000000 cliques
  273. Thu Apr 2 09:38:03 2026 commencing in-memory singleton removal
  274. Thu Apr 2 09:38:11 2026 begin with 791707979 relations and 765525666 unique ideals
  275. Thu Apr 2 09:38:37 2026 reduce to 791582131 relations and 756400371 ideals in 8 passes
  276. Thu Apr 2 09:38:37 2026 max relations containing the same ideal: 146
  277. Thu Apr 2 09:42:37 2026 removing 10967604 relations and 8967604 ideals in 2000000 cliques
  278. Thu Apr 2 09:42:54 2026 commencing in-memory singleton removal
  279. Thu Apr 2 09:43:02 2026 begin with 780614527 relations and 756400371 unique ideals
  280. Thu Apr 2 09:43:24 2026 reduce to 780488105 relations and 747305999 ideals in 7 passes
  281. Thu Apr 2 09:43:24 2026 max relations containing the same ideal: 145
  282. Thu Apr 2 09:47:23 2026 removing 10933476 relations and 8933476 ideals in 2000000 cliques
  283. Thu Apr 2 09:47:39 2026 commencing in-memory singleton removal
  284. Thu Apr 2 09:47:48 2026 begin with 769554629 relations and 747305999 unique ideals
  285. Thu Apr 2 09:48:13 2026 reduce to 769426198 relations and 738243781 ideals in 8 passes
  286. Thu Apr 2 09:48:13 2026 max relations containing the same ideal: 144
  287. Thu Apr 2 09:52:09 2026 removing 10907815 relations and 8907815 ideals in 2000000 cliques
  288. Thu Apr 2 09:52:25 2026 commencing in-memory singleton removal
  289. Thu Apr 2 09:52:33 2026 begin with 758518383 relations and 738243781 unique ideals
  290. Thu Apr 2 09:52:53 2026 reduce to 758388742 relations and 729206008 ideals in 6 passes
  291. Thu Apr 2 09:52:53 2026 max relations containing the same ideal: 142
  292. Thu Apr 2 09:56:42 2026 removing 10876553 relations and 8876553 ideals in 2000000 cliques
  293. Thu Apr 2 09:56:58 2026 commencing in-memory singleton removal
  294. Thu Apr 2 09:57:06 2026 begin with 747512189 relations and 729206008 unique ideals
  295. Thu Apr 2 09:57:27 2026 reduce to 747380951 relations and 720197866 ideals in 7 passes
  296. Thu Apr 2 09:57:27 2026 max relations containing the same ideal: 142
  297. Thu Apr 2 10:01:15 2026 removing 10859515 relations and 8859515 ideals in 2000000 cliques
  298. Thu Apr 2 10:01:31 2026 commencing in-memory singleton removal
  299. Thu Apr 2 10:01:38 2026 begin with 736521436 relations and 720197866 unique ideals
  300. Thu Apr 2 10:02:00 2026 reduce to 736389247 relations and 711205827 ideals in 7 passes
  301. Thu Apr 2 10:02:00 2026 max relations containing the same ideal: 141
  302. Thu Apr 2 10:05:45 2026 removing 10836658 relations and 8836658 ideals in 2000000 cliques
  303. Thu Apr 2 10:06:00 2026 commencing in-memory singleton removal
  304. Thu Apr 2 10:06:08 2026 begin with 725552589 relations and 711205827 unique ideals
  305. Thu Apr 2 10:06:27 2026 reduce to 725419302 relations and 702235515 ideals in 6 passes
  306. Thu Apr 2 10:06:27 2026 max relations containing the same ideal: 141
  307. Thu Apr 2 10:10:05 2026 removing 10818689 relations and 8818689 ideals in 2000000 cliques
  308. Thu Apr 2 10:10:20 2026 commencing in-memory singleton removal
  309. Thu Apr 2 10:10:28 2026 begin with 714600613 relations and 702235515 unique ideals
  310. Thu Apr 2 10:10:49 2026 reduce to 714464632 relations and 693280484 ideals in 7 passes
  311. Thu Apr 2 10:10:49 2026 max relations containing the same ideal: 138
  312. Thu Apr 2 10:14:25 2026 removing 10799828 relations and 8799828 ideals in 2000000 cliques
  313. Thu Apr 2 10:14:40 2026 commencing in-memory singleton removal
  314. Thu Apr 2 10:14:47 2026 begin with 703664804 relations and 693280484 unique ideals
  315. Thu Apr 2 10:15:07 2026 reduce to 703527234 relations and 684342718 ideals in 7 passes
  316. Thu Apr 2 10:15:07 2026 max relations containing the same ideal: 137
  317. Thu Apr 2 10:18:39 2026 removing 10786606 relations and 8786606 ideals in 2000000 cliques
  318. Thu Apr 2 10:18:54 2026 commencing in-memory singleton removal
  319. Thu Apr 2 10:19:02 2026 begin with 692740628 relations and 684342718 unique ideals
  320. Thu Apr 2 10:19:22 2026 reduce to 692601248 relations and 675416327 ideals in 7 passes
  321. Thu Apr 2 10:19:22 2026 max relations containing the same ideal: 136
  322. Thu Apr 2 10:22:49 2026 removing 10775658 relations and 8775658 ideals in 2000000 cliques
  323. Thu Apr 2 10:23:03 2026 commencing in-memory singleton removal
  324. Thu Apr 2 10:23:11 2026 begin with 681825590 relations and 675416327 unique ideals
  325. Thu Apr 2 10:23:31 2026 reduce to 681682337 relations and 666497007 ideals in 7 passes
  326. Thu Apr 2 10:23:31 2026 max relations containing the same ideal: 134
  327. Thu Apr 2 10:26:55 2026 removing 10763482 relations and 8763482 ideals in 2000000 cliques
  328. Thu Apr 2 10:27:09 2026 commencing in-memory singleton removal
  329. Thu Apr 2 10:27:16 2026 begin with 670918855 relations and 666497007 unique ideals
  330. Thu Apr 2 10:27:36 2026 reduce to 670774804 relations and 657589075 ideals in 7 passes
  331. Thu Apr 2 10:27:36 2026 max relations containing the same ideal: 133
  332. Thu Apr 2 10:30:58 2026 removing 10762915 relations and 8762915 ideals in 2000000 cliques
  333. Thu Apr 2 10:31:12 2026 commencing in-memory singleton removal
  334. Thu Apr 2 10:31:19 2026 begin with 660011889 relations and 657589075 unique ideals
  335. Thu Apr 2 10:31:38 2026 reduce to 659865028 relations and 648678847 ideals in 7 passes
  336. Thu Apr 2 10:31:38 2026 max relations containing the same ideal: 129
  337. Thu Apr 2 10:34:59 2026 removing 7856885 relations and 6474311 ideals in 1382574 cliques
  338. Thu Apr 2 10:35:12 2026 commencing in-memory singleton removal
  339. Thu Apr 2 10:35:19 2026 begin with 652008143 relations and 648678847 unique ideals
  340. Thu Apr 2 10:35:38 2026 reduce to 651928068 relations and 642124285 ideals in 7 passes
  341. Thu Apr 2 10:35:38 2026 max relations containing the same ideal: 128
  342. Thu Apr 2 10:40:07 2026 relations with 0 large ideals: 330649
  343. Thu Apr 2 10:40:07 2026 relations with 1 large ideals: 262912
  344. Thu Apr 2 10:40:07 2026 relations with 2 large ideals: 3010916
  345. Thu Apr 2 10:40:07 2026 relations with 3 large ideals: 18452059
  346. Thu Apr 2 10:40:07 2026 relations with 4 large ideals: 65376282
  347. Thu Apr 2 10:40:07 2026 relations with 5 large ideals: 140705413
  348. Thu Apr 2 10:40:07 2026 relations with 6 large ideals: 185571695
  349. Thu Apr 2 10:40:07 2026 relations with 7+ large ideals: 238218142
  350. Thu Apr 2 10:40:07 2026 commencing 2-way merge
  351. Thu Apr 2 10:45:24 2026 reduce to 400399571 relation sets and 390595787 unique ideals
  352. Thu Apr 2 10:45:24 2026 commencing full merge
  353. Thu Apr 2 12:18:27 2026 memory use: 43122.0 MB
  354. Thu Apr 2 12:19:13 2026 found 189490560 cycles, need 188227987
  355. Thu Apr 2 12:20:22 2026 weight of 188227987 cycles is about 20705200921 (110.00/cycle)
  356. Thu Apr 2 12:20:22 2026 distribution of cycle lengths:
  357. Thu Apr 2 12:20:22 2026 1 relations: 13349661
  358. Thu Apr 2 12:20:22 2026 2 relations: 17292859
  359. Thu Apr 2 12:20:22 2026 3 relations: 19006229
  360. Thu Apr 2 12:20:22 2026 4 relations: 18147399
  361. Thu Apr 2 12:20:22 2026 5 relations: 16670100
  362. Thu Apr 2 12:20:22 2026 6 relations: 15337538
  363. Thu Apr 2 12:20:22 2026 7 relations: 13710170
  364. Thu Apr 2 12:20:22 2026 8 relations: 12333238
  365. Thu Apr 2 12:20:22 2026 9 relations: 11034906
  366. Thu Apr 2 12:20:22 2026 10+ relations: 51345887
  367. Thu Apr 2 12:20:22 2026 heaviest cycle: 24 relations
  368. Thu Apr 2 12:20:59 2026 commencing cycle optimization
  369. Thu Apr 2 12:27:09 2026 start with 1324938184 relations
  370. Thu Apr 2 13:01:12 2026 pruned 34263200 relations
  371. Thu Apr 2 13:01:30 2026 memory use: 40661.3 MB
  372. Thu Apr 2 13:01:31 2026 distribution of cycle lengths:
  373. Thu Apr 2 13:01:31 2026 1 relations: 13349661
  374. Thu Apr 2 13:01:31 2026 2 relations: 17691229
  375. Thu Apr 2 13:01:31 2026 3 relations: 19709280
  376. Thu Apr 2 13:01:31 2026 4 relations: 18614932
  377. Thu Apr 2 13:01:31 2026 5 relations: 17126441
  378. Thu Apr 2 13:01:31 2026 6 relations: 15609470
  379. Thu Apr 2 13:01:31 2026 7 relations: 13946743
  380. Thu Apr 2 13:01:31 2026 8 relations: 12461287
  381. Thu Apr 2 13:01:31 2026 9 relations: 11106721
  382. Thu Apr 2 13:01:31 2026 10+ relations: 48612223
  383. Thu Apr 2 13:01:31 2026 heaviest cycle: 24 relations
  384. Thu Apr 2 13:07:45 2026 RelProcTime: 56729
  385. Thu Apr 2 13:09:13 2026 elapsed time 15:46:59
  386. Thu Apr 2 13:09:16 2026
  387. Thu Apr 2 13:09:16 2026
  388. Thu Apr 2 13:09:16 2026 Msieve v. 1.54 (SVN Unversioned directory)
  389. Thu Apr 2 13:09:16 2026 random seeds: 6f30440b e5846811
  390. Thu Apr 2 13:09:16 2026 MPI process 0 of 1
  391. Thu Apr 2 13:09:16 2026 Using 46 OpenMP threads
  392. Thu Apr 2 13:09:16 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits)
  393. Thu Apr 2 13:09:17 2026 no P-1/P+1/ECM available, skipping
  394. Thu Apr 2 13:09:17 2026 commencing number field sieve (335-digit input)
  395. Thu Apr 2 13:09:17 2026 R0: -65523154680015478367958613982466477539475498743447420928
  396. Thu Apr 2 13:09:17 2026 R1: 1
  397. Thu Apr 2 13:09:17 2026 A0: -3
  398. Thu Apr 2 13:09:17 2026 A1: 0
  399. Thu Apr 2 13:09:17 2026 A2: 0
  400. Thu Apr 2 13:09:17 2026 A3: 0
  401. Thu Apr 2 13:09:17 2026 A4: 0
  402. Thu Apr 2 13:09:17 2026 A5: 0
  403. Thu Apr 2 13:09:17 2026 A6: 16
  404. Thu Apr 2 13:09:17 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2
  405. Thu Apr 2 13:09:17 2026
  406. Thu Apr 2 13:09:17 2026 commencing linear algebra
  407. Thu Apr 2 13:09:17 2026 using VBITS=256
  408. Thu Apr 2 13:09:17 2026 stopping after matrix build
  409. Thu Apr 2 13:09:17 2026 initialized process (0,0) of 1 x 1 grid
  410. Thu Apr 2 13:09:38 2026 read 188227987 cycles
  411. Thu Apr 2 13:16:19 2026 cycles contain 646012142 unique relations
  412. Thu Apr 2 13:28:02 2026 read 646012142 relations
  413. Thu Apr 2 13:29:06 2026 using 20 quadratic characters above 4294917295
  414. Thu Apr 2 13:30:25 2026 building initial matrix
  415. Thu Apr 2 15:52:11 2026 memory use: 88319.5 MB
  416. Thu Apr 2 15:54:32 2026 read 188227987 cycles
  417. Thu Apr 2 15:54:55 2026 matrix is 188227809 x 188227987 (84245.5 MB) with weight 24051610198 (127.78/col)
  418. Thu Apr 2 15:54:55 2026 sparse part has weight 20013937901 (106.33/col)
  419. Thu Apr 2 16:44:40 2026 filtering completed in 2 passes
  420. Thu Apr 2 16:45:14 2026 matrix is 188180459 x 188180631 (84242.1 MB) with weight 24050236489 (127.80/col)
  421. Thu Apr 2 16:45:14 2026 sparse part has weight 20013578535 (106.35/col)
  422. Thu Apr 2 16:52:19 2026 BLanczosTime: 13382
  423. Thu Apr 2 16:52:19 2026 elapsed time 03:43:03
  424. Thu Apr 2 21:54:07 2026
  425. Thu Apr 2 21:54:07 2026
  426. Thu Apr 2 21:54:07 2026 Msieve v. 1.54 (SVN Unversioned directory)
  427. Thu Apr 2 21:54:07 2026 random seeds: 6568f46b 5e983fc0
  428. Thu Apr 2 21:54:07 2026 MPI process 0 of 4
  429. Thu Apr 2 21:54:07 2026 Using 15 OpenMP threads
  430. Thu Apr 2 21:54:07 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits)
  431. Thu Apr 2 21:54:08 2026 no P-1/P+1/ECM available, skipping
  432. Thu Apr 2 21:54:08 2026 commencing number field sieve (335-digit input)
  433. Thu Apr 2 21:54:08 2026 R0: -65523154680015478367958613982466477539475498743447420928
  434. Thu Apr 2 21:54:08 2026 R1: 1
  435. Thu Apr 2 21:54:08 2026 A0: -3
  436. Thu Apr 2 21:54:08 2026 A1: 0
  437. Thu Apr 2 21:54:08 2026 A2: 0
  438. Thu Apr 2 21:54:08 2026 A3: 0
  439. Thu Apr 2 21:54:08 2026 A4: 0
  440. Thu Apr 2 21:54:08 2026 A5: 0
  441. Thu Apr 2 21:54:08 2026 A6: 16
  442. Thu Apr 2 21:54:08 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2
  443. Thu Apr 2 21:54:08 2026
  444. Thu Apr 2 21:54:08 2026 commencing linear algebra
  445. Thu Apr 2 21:54:08 2026 using VBITS=256
  446. Thu Apr 2 21:54:08 2026 skipping matrix build
  447. Thu Apr 2 21:54:08 2026 initialized process (0,0) of 2 x 2 grid
  448. Thu Apr 2 21:56:22 2026 matrix starts at (0, 0)
  449. Thu Apr 2 21:56:27 2026 matrix is 94090350 x 94090300 (24435.1 MB) with weight 7388854026 (78.53/col)
  450. Thu Apr 2 21:56:27 2026 sparse part has weight 5370530602 (57.08/col)
  451. Thu Apr 2 21:56:27 2026 saving the first 240 matrix rows for later
  452. Thu Apr 2 21:56:44 2026 matrix includes 256 packed rows
  453. Thu Apr 2 21:56:56 2026 matrix is 94090110 x 94090300 (22304.6 MB) with weight 4639482102 (49.31/col)
  454. Thu Apr 2 21:56:56 2026 sparse part has weight 4341584731 (46.14/col)
  455. Thu Apr 2 21:56:56 2026 using GPU 0 (NVIDIA H200)
  456. Thu Apr 2 21:56:56 2026 selected card has CUDA arch 9.0
  457. Thu Apr 2 22:02:34 2026 commencing Lanczos iteration
  458. Thu Apr 2 22:02:38 2026 memory use: 52505.7 MB
  459. Thu Apr 2 22:03:38 2026 linear algebra at 0.0%, ETA 88h44m
  460. Thu Apr 2 22:04:57 2026 checking every 30000 dimensions, checkpointing every 2130000 dimensions
  461. Mon Apr 6 16:05:31 2026 lanczos halted after 737280 iterations (dim = 188180219)
  462. Mon Apr 6 16:12:59 2026 recovered 38 nontrivial dependencies
  463. Mon Apr 6 16:13:02 2026 BLanczosTime: 325134
  464. Mon Apr 6 16:13:02 2026 elapsed time 90:18:55
  465. Mon Apr 6 16:13:10 2026
  466. Mon Apr 6 16:13:10 2026
  467. Mon Apr 6 16:13:10 2026 Msieve v. 1.54 (SVN Unversioned directory)
  468. Mon Apr 6 16:13:10 2026 random seeds: 59b4333d e1b8b2eb
  469. Mon Apr 6 16:13:10 2026 MPI process 0 of 1
  470. Mon Apr 6 16:13:10 2026 Using 32 OpenMP threads
  471. Mon Apr 6 16:13:10 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits)
  472. Mon Apr 6 16:13:13 2026 no P-1/P+1/ECM available, skipping
  473. Mon Apr 6 16:13:13 2026 commencing number field sieve (335-digit input)
  474. Mon Apr 6 16:13:13 2026 R0: -65523154680015478367958613982466477539475498743447420928
  475. Mon Apr 6 16:13:13 2026 R1: 1
  476. Mon Apr 6 16:13:13 2026 A0: -3
  477. Mon Apr 6 16:13:13 2026 A1: 0
  478. Mon Apr 6 16:13:13 2026 A2: 0
  479. Mon Apr 6 16:13:13 2026 A3: 0
  480. Mon Apr 6 16:13:13 2026 A4: 0
  481. Mon Apr 6 16:13:13 2026 A5: 0
  482. Mon Apr 6 16:13:13 2026 A6: 16
  483. Mon Apr 6 16:13:13 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2
  484. Mon Apr 6 16:13:13 2026
  485. Mon Apr 6 16:13:13 2026 commencing square root phase
  486. Mon Apr 6 16:13:13 2026 reading relations for dependency 1
  487. Mon Apr 6 16:13:45 2026 read 94082253 cycles
  488. Mon Apr 6 16:17:27 2026 cycles contain 322995106 unique relations
  489. Mon Apr 6 16:28:39 2026 read 322995106 relations
  490. Mon Apr 6 17:02:47 2026 multiplying 322995106 relations
  491. Mon Apr 6 17:38:37 2026 multiply complete, coefficients have about 10667.59 million bits
  492. Mon Apr 6 17:39:18 2026 initial square root is modulo 958327
  493. Mon Apr 6 19:26:25 2026 sqrtTime: 11592
  494. Mon Apr 6 19:26:26 2026 p155 factor: 23503367138556947436815398828699062893236603929714926941196195846762302737604573984982581024804113275666272505812649727970300889753542711591017757476328343
  495. Mon Apr 6 19:26:26 2026 p181 factor: 1632468278720937286963317853487733175903531473980985380655725973646428866736336473970228426208018353131640457657982485323404364021643306772958182386165591663733871216115097609791019
  496. Mon Apr 6 19:26:26 2026 elapsed time 03:13:16
  497.  
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