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gchilders
Mar 21st, 2026
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  1. Wed Mar 11 16:02:39 2026
  2. Wed Mar 11 16:02:39 2026
  3. Wed Mar 11 16:02:39 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Mar 11 16:02:39 2026 random seeds: 6a57ce02 1b93663d
  5. Wed Mar 11 16:02:39 2026 MPI process 0 of 1
  6. Wed Mar 11 16:02:39 2026 Using 46 OpenMP threads
  7. Wed Mar 11 16:02:39 2026 factoring 48494699778264426404409135725622972907267897476433532704436938006597018657058155146261024093430305724925944152333841118048564475845263716464990922831965116330962944498506597746933113362642972306538607938605345553386447446208667019336784689339855127112978742422065573859 (269 digits)
  8. Wed Mar 11 16:02:40 2026 no P-1/P+1/ECM available, skipping
  9. Wed Mar 11 16:02:40 2026 commencing number field sieve (269-digit input)
  10. Wed Mar 11 16:02:40 2026 R0: -66555937033867822607895549241096482953017615834735226163
  11. Wed Mar 11 16:02:40 2026 R1: 1
  12. Wed Mar 11 16:02:40 2026 A0: -1
  13. Wed Mar 11 16:02:40 2026 A1: 0
  14. Wed Mar 11 16:02:40 2026 A2: 0
  15. Wed Mar 11 16:02:40 2026 A3: 0
  16. Wed Mar 11 16:02:40 2026 A4: 0
  17. Wed Mar 11 16:02:40 2026 A5: 0
  18. Wed Mar 11 16:02:40 2026 A6: 3
  19. Wed Mar 11 16:02:40 2026 skew 1.11, size 2.206e-16, alpha 2.177, combined = 1.534e-16 rroots = 2
  20. Wed Mar 11 16:02:40 2026
  21. Wed Mar 11 16:02:40 2026 commencing relation filtering
  22. Wed Mar 11 16:02:40 2026 setting target matrix density to 110.0
  23. Wed Mar 11 16:02:40 2026 estimated available RAM is 385608.4 MB
  24. Wed Mar 11 16:02:40 2026 commencing duplicate removal, pass 1
  25. Wed Mar 11 16:47:38 2026 skipped 9344920 relations with b > 2^32
  26. Wed Mar 11 16:47:38 2026 skipped 9 relations with composite factors
  27. Wed Mar 11 16:47:38 2026 skipped 9076 malformed relations
  28. Wed Mar 11 16:47:38 2026 found 135924979 hash collisions in 3149835092 relations
  29. Wed Mar 11 16:47:48 2026 added 1218608 free relations
  30. Wed Mar 11 16:47:48 2026 commencing duplicate removal, pass 2
  31. Wed Mar 11 17:02:53 2026 found 0 duplicates and 3151053700 unique relations
  32. Wed Mar 11 17:02:53 2026 memory use: 8870.0 MB
  33. Wed Mar 11 17:02:54 2026 reading ideals above 1959460864
  34. Wed Mar 11 17:02:54 2026 commencing singleton removal, initial pass
  35. Wed Mar 11 20:11:38 2026 memory use: 66560.0 MB
  36. Wed Mar 11 20:11:40 2026 reading all ideals from disk
  37. Wed Mar 11 20:13:01 2026 memory use: 85763.1 MB
  38. Wed Mar 11 20:16:14 2026 commencing in-memory singleton removal
  39. Wed Mar 11 20:16:29 2026 begin with 3151053700 relations and 3108771056 unique ideals
  40. Wed Mar 11 20:18:26 2026 reduce to 1418457019 relations and 1115466649 ideals in 24 passes
  41. Wed Mar 11 20:18:26 2026 max relations containing the same ideal: 36
  42. Wed Mar 11 20:19:06 2026 reading ideals above 720000
  43. Wed Mar 11 20:19:07 2026 commencing singleton removal, initial pass
  44. Wed Mar 11 22:15:52 2026 memory use: 21024.0 MB
  45. Wed Mar 11 22:15:53 2026 reading all ideals from disk
  46. Wed Mar 11 22:16:57 2026 memory use: 79384.4 MB
  47. Wed Mar 11 22:21:04 2026 keeping 1299716531 ideals with weight <= 200, target excess is 8366695
  48. Wed Mar 11 22:25:17 2026 commencing in-memory singleton removal
  49. Wed Mar 11 22:25:31 2026 begin with 1418457019 relations and 1299716531 unique ideals
  50. Wed Mar 11 22:26:55 2026 reduce to 1417717339 relations and 1298976804 ideals in 15 passes
  51. Wed Mar 11 22:26:55 2026 max relations containing the same ideal: 200
  52. Wed Mar 11 22:35:55 2026 removing 34774440 relations and 32774440 ideals in 2000000 cliques
  53. Wed Mar 11 22:36:31 2026 commencing in-memory singleton removal
  54. Wed Mar 11 22:36:44 2026 begin with 1382942899 relations and 1298976804 unique ideals
  55. Wed Mar 11 22:37:44 2026 reduce to 1382182605 relations and 1265439820 ideals in 11 passes
  56. Wed Mar 11 22:37:44 2026 max relations containing the same ideal: 200
  57. Wed Mar 11 22:46:26 2026 removing 25109414 relations and 23109414 ideals in 2000000 cliques
  58. Wed Mar 11 22:46:59 2026 commencing in-memory singleton removal
  59. Wed Mar 11 22:47:12 2026 begin with 1357073191 relations and 1265439820 unique ideals
  60. Wed Mar 11 22:48:10 2026 reduce to 1356658658 relations and 1241914963 ideals in 11 passes
  61. Wed Mar 11 22:48:10 2026 max relations containing the same ideal: 200
  62. Wed Mar 11 22:56:20 2026 removing 21993380 relations and 19993380 ideals in 2000000 cliques
  63. Wed Mar 11 22:56:52 2026 commencing in-memory singleton removal
  64. Wed Mar 11 22:57:05 2026 begin with 1334665278 relations and 1241914963 unique ideals
  65. Wed Mar 11 22:57:56 2026 reduce to 1334343493 relations and 1221599125 ideals in 10 passes
  66. Wed Mar 11 22:57:56 2026 max relations containing the same ideal: 199
  67. Wed Mar 11 23:05:55 2026 removing 20173333 relations and 18173333 ideals in 2000000 cliques
  68. Wed Mar 11 23:06:24 2026 commencing in-memory singleton removal
  69. Wed Mar 11 23:06:37 2026 begin with 1314170160 relations and 1221599125 unique ideals
  70. Wed Mar 11 23:07:23 2026 reduce to 1313896037 relations and 1203151103 ideals in 9 passes
  71. Wed Mar 11 23:07:23 2026 max relations containing the same ideal: 198
  72. Wed Mar 11 23:15:09 2026 removing 18912647 relations and 16912647 ideals in 2000000 cliques
  73. Wed Mar 11 23:15:39 2026 commencing in-memory singleton removal
  74. Wed Mar 11 23:15:54 2026 begin with 1294983390 relations and 1203151103 unique ideals
  75. Wed Mar 11 23:16:44 2026 reduce to 1294739874 relations and 1185994453 ideals in 10 passes
  76. Wed Mar 11 23:16:44 2026 max relations containing the same ideal: 197
  77. Wed Mar 11 23:24:27 2026 removing 17966200 relations and 15966200 ideals in 2000000 cliques
  78. Wed Mar 11 23:24:55 2026 commencing in-memory singleton removal
  79. Wed Mar 11 23:25:08 2026 begin with 1276773674 relations and 1185994453 unique ideals
  80. Wed Mar 11 23:25:49 2026 reduce to 1276552079 relations and 1169806252 ideals in 8 passes
  81. Wed Mar 11 23:25:49 2026 max relations containing the same ideal: 196
  82. Wed Mar 11 23:33:16 2026 removing 17213630 relations and 15213630 ideals in 2000000 cliques
  83. Wed Mar 11 23:33:44 2026 commencing in-memory singleton removal
  84. Wed Mar 11 23:33:56 2026 begin with 1259338449 relations and 1169806252 unique ideals
  85. Wed Mar 11 23:34:41 2026 reduce to 1259133158 relations and 1154386957 ideals in 9 passes
  86. Wed Mar 11 23:34:41 2026 max relations containing the same ideal: 195
  87. Wed Mar 11 23:41:59 2026 removing 16597059 relations and 14597059 ideals in 2000000 cliques
  88. Wed Mar 11 23:42:29 2026 commencing in-memory singleton removal
  89. Wed Mar 11 23:42:41 2026 begin with 1242536099 relations and 1154386957 unique ideals
  90. Wed Mar 11 23:43:21 2026 reduce to 1242342480 relations and 1139595899 ideals in 8 passes
  91. Wed Mar 11 23:43:21 2026 max relations containing the same ideal: 193
  92. Wed Mar 11 23:50:37 2026 removing 16076526 relations and 14076526 ideals in 2000000 cliques
  93. Wed Mar 11 23:51:04 2026 commencing in-memory singleton removal
  94. Wed Mar 11 23:51:16 2026 begin with 1226265954 relations and 1139595899 unique ideals
  95. Wed Mar 11 23:51:56 2026 reduce to 1226082611 relations and 1125335715 ideals in 8 passes
  96. Wed Mar 11 23:51:56 2026 max relations containing the same ideal: 193
  97. Wed Mar 11 23:59:11 2026 removing 15632730 relations and 13632730 ideals in 2000000 cliques
  98. Wed Mar 11 23:59:37 2026 commencing in-memory singleton removal
  99. Wed Mar 11 23:59:49 2026 begin with 1210449881 relations and 1125335715 unique ideals
  100. Thu Mar 12 00:00:27 2026 reduce to 1210273918 relations and 1111526709 ideals in 8 passes
  101. Thu Mar 12 00:00:27 2026 max relations containing the same ideal: 190
  102. Thu Mar 12 00:07:31 2026 removing 15244616 relations and 13244616 ideals in 2000000 cliques
  103. Thu Mar 12 00:07:57 2026 commencing in-memory singleton removal
  104. Thu Mar 12 00:08:09 2026 begin with 1195029302 relations and 1111526709 unique ideals
  105. Thu Mar 12 00:08:47 2026 reduce to 1194860693 relations and 1098113183 ideals in 8 passes
  106. Thu Mar 12 00:08:47 2026 max relations containing the same ideal: 190
  107. Thu Mar 12 00:15:50 2026 removing 14903275 relations and 12903275 ideals in 2000000 cliques
  108. Thu Mar 12 00:16:15 2026 commencing in-memory singleton removal
  109. Thu Mar 12 00:16:28 2026 begin with 1179957418 relations and 1098113183 unique ideals
  110. Thu Mar 12 00:17:06 2026 reduce to 1179795432 relations and 1085047638 ideals in 8 passes
  111. Thu Mar 12 00:17:06 2026 max relations containing the same ideal: 189
  112. Thu Mar 12 00:23:42 2026 removing 14598965 relations and 12598965 ideals in 2000000 cliques
  113. Thu Mar 12 00:24:07 2026 commencing in-memory singleton removal
  114. Thu Mar 12 00:24:19 2026 begin with 1165196467 relations and 1085047638 unique ideals
  115. Thu Mar 12 00:24:59 2026 reduce to 1165039340 relations and 1072291237 ideals in 9 passes
  116. Thu Mar 12 00:24:59 2026 max relations containing the same ideal: 188
  117. Thu Mar 12 00:31:26 2026 removing 14330384 relations and 12330384 ideals in 2000000 cliques
  118. Thu Mar 12 00:31:51 2026 commencing in-memory singleton removal
  119. Thu Mar 12 00:32:03 2026 begin with 1150708956 relations and 1072291237 unique ideals
  120. Thu Mar 12 00:32:39 2026 reduce to 1150556995 relations and 1059808595 ideals in 8 passes
  121. Thu Mar 12 00:32:39 2026 max relations containing the same ideal: 186
  122. Thu Mar 12 00:39:04 2026 removing 14079592 relations and 12079592 ideals in 2000000 cliques
  123. Thu Mar 12 00:39:28 2026 commencing in-memory singleton removal
  124. Thu Mar 12 00:39:40 2026 begin with 1136477403 relations and 1059808595 unique ideals
  125. Thu Mar 12 00:40:16 2026 reduce to 1136327990 relations and 1047579307 ideals in 8 passes
  126. Thu Mar 12 00:40:16 2026 max relations containing the same ideal: 185
  127. Thu Mar 12 00:46:26 2026 removing 13854166 relations and 11854166 ideals in 2000000 cliques
  128. Thu Mar 12 00:46:50 2026 commencing in-memory singleton removal
  129. Thu Mar 12 00:47:02 2026 begin with 1122473824 relations and 1047579307 unique ideals
  130. Thu Mar 12 00:47:40 2026 reduce to 1122326547 relations and 1035577611 ideals in 8 passes
  131. Thu Mar 12 00:47:40 2026 max relations containing the same ideal: 183
  132. Thu Mar 12 00:53:48 2026 removing 13651091 relations and 11651091 ideals in 2000000 cliques
  133. Thu Mar 12 00:54:11 2026 commencing in-memory singleton removal
  134. Thu Mar 12 00:54:23 2026 begin with 1108675456 relations and 1035577611 unique ideals
  135. Thu Mar 12 00:54:56 2026 reduce to 1108533681 relations and 1023784514 ideals in 7 passes
  136. Thu Mar 12 00:54:56 2026 max relations containing the same ideal: 183
  137. Thu Mar 12 01:01:05 2026 removing 13452593 relations and 11452593 ideals in 2000000 cliques
  138. Thu Mar 12 01:01:28 2026 commencing in-memory singleton removal
  139. Thu Mar 12 01:01:40 2026 begin with 1095081088 relations and 1023784514 unique ideals
  140. Thu Mar 12 01:02:14 2026 reduce to 1094941392 relations and 1012191957 ideals in 8 passes
  141. Thu Mar 12 01:02:14 2026 max relations containing the same ideal: 183
  142. Thu Mar 12 01:08:14 2026 removing 13280864 relations and 11280864 ideals in 2000000 cliques
  143. Thu Mar 12 01:08:37 2026 commencing in-memory singleton removal
  144. Thu Mar 12 01:08:48 2026 begin with 1081660528 relations and 1012191957 unique ideals
  145. Thu Mar 12 01:09:23 2026 reduce to 1081522499 relations and 1000772827 ideals in 8 passes
  146. Thu Mar 12 01:09:23 2026 max relations containing the same ideal: 182
  147. Thu Mar 12 01:15:18 2026 removing 13119200 relations and 11119200 ideals in 2000000 cliques
  148. Thu Mar 12 01:15:41 2026 commencing in-memory singleton removal
  149. Thu Mar 12 01:15:52 2026 begin with 1068403299 relations and 1000772827 unique ideals
  150. Thu Mar 12 01:16:26 2026 reduce to 1068267594 relations and 989517669 ideals in 8 passes
  151. Thu Mar 12 01:16:26 2026 max relations containing the same ideal: 178
  152. Thu Mar 12 01:22:12 2026 removing 12963854 relations and 10963854 ideals in 2000000 cliques
  153. Thu Mar 12 01:22:35 2026 commencing in-memory singleton removal
  154. Thu Mar 12 01:22:47 2026 begin with 1055303740 relations and 989517669 unique ideals
  155. Thu Mar 12 01:23:24 2026 reduce to 1055169261 relations and 978419102 ideals in 9 passes
  156. Thu Mar 12 01:23:24 2026 max relations containing the same ideal: 178
  157. Thu Mar 12 01:29:07 2026 removing 12831453 relations and 10831453 ideals in 2000000 cliques
  158. Thu Mar 12 01:29:29 2026 commencing in-memory singleton removal
  159. Thu Mar 12 01:29:40 2026 begin with 1042337808 relations and 978419102 unique ideals
  160. Thu Mar 12 01:30:13 2026 reduce to 1042205028 relations and 967454636 ideals in 8 passes
  161. Thu Mar 12 01:30:13 2026 max relations containing the same ideal: 176
  162. Thu Mar 12 01:35:48 2026 removing 12697521 relations and 10697521 ideals in 2000000 cliques
  163. Thu Mar 12 01:36:10 2026 commencing in-memory singleton removal
  164. Thu Mar 12 01:36:22 2026 begin with 1029507507 relations and 967454636 unique ideals
  165. Thu Mar 12 01:36:52 2026 reduce to 1029376311 relations and 956625664 ideals in 7 passes
  166. Thu Mar 12 01:36:52 2026 max relations containing the same ideal: 175
  167. Thu Mar 12 01:42:28 2026 removing 12573878 relations and 10573878 ideals in 2000000 cliques
  168. Thu Mar 12 01:42:49 2026 commencing in-memory singleton removal
  169. Thu Mar 12 01:43:00 2026 begin with 1016802433 relations and 956625664 unique ideals
  170. Thu Mar 12 01:43:33 2026 reduce to 1016671318 relations and 945920401 ideals in 8 passes
  171. Thu Mar 12 01:43:33 2026 max relations containing the same ideal: 174
  172. Thu Mar 12 01:49:11 2026 removing 12457534 relations and 10457534 ideals in 2000000 cliques
  173. Thu Mar 12 01:49:32 2026 commencing in-memory singleton removal
  174. Thu Mar 12 01:49:43 2026 begin with 1004213784 relations and 945920401 unique ideals
  175. Thu Mar 12 01:50:12 2026 reduce to 1004083361 relations and 935332219 ideals in 7 passes
  176. Thu Mar 12 01:50:12 2026 max relations containing the same ideal: 171
  177. Thu Mar 12 01:55:42 2026 removing 12351458 relations and 10351458 ideals in 2000000 cliques
  178. Thu Mar 12 01:56:03 2026 commencing in-memory singleton removal
  179. Thu Mar 12 01:56:14 2026 begin with 991731903 relations and 935332219 unique ideals
  180. Thu Mar 12 01:56:43 2026 reduce to 991603194 relations and 924851803 ideals in 7 passes
  181. Thu Mar 12 01:56:43 2026 max relations containing the same ideal: 170
  182. Thu Mar 12 02:02:09 2026 removing 12245516 relations and 10245516 ideals in 2000000 cliques
  183. Thu Mar 12 02:02:29 2026 commencing in-memory singleton removal
  184. Thu Mar 12 02:02:40 2026 begin with 979357678 relations and 924851803 unique ideals
  185. Thu Mar 12 02:03:10 2026 reduce to 979229175 relations and 914477525 ideals in 7 passes
  186. Thu Mar 12 02:03:10 2026 max relations containing the same ideal: 169
  187. Thu Mar 12 02:09:24 2026 removing 12148078 relations and 10148078 ideals in 2000000 cliques
  188. Thu Mar 12 02:09:46 2026 commencing in-memory singleton removal
  189. Thu Mar 12 02:09:57 2026 begin with 967081097 relations and 914477525 unique ideals
  190. Thu Mar 12 02:10:24 2026 reduce to 966954397 relations and 904202500 ideals in 7 passes
  191. Thu Mar 12 02:10:24 2026 max relations containing the same ideal: 167
  192. Thu Mar 12 02:16:32 2026 removing 12055679 relations and 10055679 ideals in 2000000 cliques
  193. Thu Mar 12 02:16:55 2026 commencing in-memory singleton removal
  194. Thu Mar 12 02:17:05 2026 begin with 954898718 relations and 904202500 unique ideals
  195. Thu Mar 12 02:17:38 2026 reduce to 954773041 relations and 894020910 ideals in 9 passes
  196. Thu Mar 12 02:17:38 2026 max relations containing the same ideal: 166
  197. Thu Mar 12 02:22:51 2026 removing 11974524 relations and 9974524 ideals in 2000000 cliques
  198. Thu Mar 12 02:23:11 2026 commencing in-memory singleton removal
  199. Thu Mar 12 02:23:21 2026 begin with 942798517 relations and 894020910 unique ideals
  200. Thu Mar 12 02:23:49 2026 reduce to 942671927 relations and 883919542 ideals in 7 passes
  201. Thu Mar 12 02:23:49 2026 max relations containing the same ideal: 164
  202. Thu Mar 12 02:29:01 2026 removing 11889650 relations and 9889650 ideals in 2000000 cliques
  203. Thu Mar 12 02:29:21 2026 commencing in-memory singleton removal
  204. Thu Mar 12 02:29:31 2026 begin with 930782277 relations and 883919542 unique ideals
  205. Thu Mar 12 02:30:02 2026 reduce to 930655768 relations and 873903110 ideals in 7 passes
  206. Thu Mar 12 02:30:02 2026 max relations containing the same ideal: 164
  207. Thu Mar 12 02:35:07 2026 removing 11811619 relations and 9811619 ideals in 2000000 cliques
  208. Thu Mar 12 02:35:27 2026 commencing in-memory singleton removal
  209. Thu Mar 12 02:35:36 2026 begin with 918844149 relations and 873903110 unique ideals
  210. Thu Mar 12 02:36:03 2026 reduce to 918718621 relations and 863965675 ideals in 7 passes
  211. Thu Mar 12 02:36:03 2026 max relations containing the same ideal: 163
  212. Thu Mar 12 02:41:04 2026 removing 11736688 relations and 9736688 ideals in 2000000 cliques
  213. Thu Mar 12 02:41:23 2026 commencing in-memory singleton removal
  214. Thu Mar 12 02:41:33 2026 begin with 906981933 relations and 863965675 unique ideals
  215. Thu Mar 12 02:42:04 2026 reduce to 906855126 relations and 854101928 ideals in 8 passes
  216. Thu Mar 12 02:42:04 2026 max relations containing the same ideal: 163
  217. Thu Mar 12 02:46:54 2026 removing 11668720 relations and 9668720 ideals in 2000000 cliques
  218. Thu Mar 12 02:47:13 2026 commencing in-memory singleton removal
  219. Thu Mar 12 02:47:23 2026 begin with 895186406 relations and 854101928 unique ideals
  220. Thu Mar 12 02:47:52 2026 reduce to 895060367 relations and 844306897 ideals in 8 passes
  221. Thu Mar 12 02:47:52 2026 max relations containing the same ideal: 159
  222. Thu Mar 12 02:52:47 2026 removing 11605672 relations and 9605672 ideals in 2000000 cliques
  223. Thu Mar 12 02:53:05 2026 commencing in-memory singleton removal
  224. Thu Mar 12 02:53:15 2026 begin with 883454695 relations and 844306897 unique ideals
  225. Thu Mar 12 02:53:41 2026 reduce to 883328921 relations and 834575143 ideals in 7 passes
  226. Thu Mar 12 02:53:41 2026 max relations containing the same ideal: 159
  227. Thu Mar 12 02:58:34 2026 removing 11543139 relations and 9543139 ideals in 2000000 cliques
  228. Thu Mar 12 02:58:52 2026 commencing in-memory singleton removal
  229. Thu Mar 12 02:59:01 2026 begin with 871785782 relations and 834575143 unique ideals
  230. Thu Mar 12 02:59:27 2026 reduce to 871659024 relations and 824904987 ideals in 7 passes
  231. Thu Mar 12 02:59:27 2026 max relations containing the same ideal: 159
  232. Thu Mar 12 03:04:12 2026 removing 11486027 relations and 9486027 ideals in 2000000 cliques
  233. Thu Mar 12 03:04:31 2026 commencing in-memory singleton removal
  234. Thu Mar 12 03:04:40 2026 begin with 860172997 relations and 824904987 unique ideals
  235. Thu Mar 12 03:05:10 2026 reduce to 860046402 relations and 815292070 ideals in 9 passes
  236. Thu Mar 12 03:05:10 2026 max relations containing the same ideal: 157
  237. Thu Mar 12 03:09:53 2026 removing 11433212 relations and 9433212 ideals in 2000000 cliques
  238. Thu Mar 12 03:10:11 2026 commencing in-memory singleton removal
  239. Thu Mar 12 03:10:20 2026 begin with 848613190 relations and 815292070 unique ideals
  240. Thu Mar 12 03:10:45 2026 reduce to 848485537 relations and 805730949 ideals in 7 passes
  241. Thu Mar 12 03:10:45 2026 max relations containing the same ideal: 156
  242. Thu Mar 12 03:15:15 2026 removing 11379952 relations and 9379952 ideals in 2000000 cliques
  243. Thu Mar 12 03:15:33 2026 commencing in-memory singleton removal
  244. Thu Mar 12 03:15:42 2026 begin with 837105585 relations and 805730949 unique ideals
  245. Thu Mar 12 03:16:07 2026 reduce to 836977943 relations and 796223060 ideals in 7 passes
  246. Thu Mar 12 03:16:07 2026 max relations containing the same ideal: 152
  247. Thu Mar 12 03:20:36 2026 removing 11332934 relations and 9332934 ideals in 2000000 cliques
  248. Thu Mar 12 03:20:53 2026 commencing in-memory singleton removal
  249. Thu Mar 12 03:21:02 2026 begin with 825645009 relations and 796223060 unique ideals
  250. Thu Mar 12 03:21:28 2026 reduce to 825516964 relations and 786761790 ideals in 8 passes
  251. Thu Mar 12 03:21:28 2026 max relations containing the same ideal: 150
  252. Thu Mar 12 03:25:47 2026 removing 11282360 relations and 9282360 ideals in 2000000 cliques
  253. Thu Mar 12 03:26:05 2026 commencing in-memory singleton removal
  254. Thu Mar 12 03:26:13 2026 begin with 814234604 relations and 786761790 unique ideals
  255. Thu Mar 12 03:26:39 2026 reduce to 814104781 relations and 777349277 ideals in 8 passes
  256. Thu Mar 12 03:26:39 2026 max relations containing the same ideal: 149
  257. Thu Mar 12 03:30:55 2026 removing 11243494 relations and 9243494 ideals in 2000000 cliques
  258. Thu Mar 12 03:31:12 2026 commencing in-memory singleton removal
  259. Thu Mar 12 03:31:20 2026 begin with 802861287 relations and 777349277 unique ideals
  260. Thu Mar 12 03:31:44 2026 reduce to 802730410 relations and 767974576 ideals in 7 passes
  261. Thu Mar 12 03:31:44 2026 max relations containing the same ideal: 147
  262. Thu Mar 12 03:35:56 2026 removing 11201641 relations and 9201641 ideals in 2000000 cliques
  263. Thu Mar 12 03:36:13 2026 commencing in-memory singleton removal
  264. Thu Mar 12 03:36:21 2026 begin with 791528769 relations and 767974576 unique ideals
  265. Thu Mar 12 03:36:44 2026 reduce to 791397629 relations and 758641463 ideals in 7 passes
  266. Thu Mar 12 03:36:44 2026 max relations containing the same ideal: 146
  267. Thu Mar 12 03:41:33 2026 removing 11164399 relations and 9164399 ideals in 2000000 cliques
  268. Thu Mar 12 03:41:50 2026 commencing in-memory singleton removal
  269. Thu Mar 12 03:41:59 2026 begin with 780233230 relations and 758641463 unique ideals
  270. Thu Mar 12 03:42:21 2026 reduce to 780100592 relations and 749344115 ideals in 7 passes
  271. Thu Mar 12 03:42:21 2026 max relations containing the same ideal: 144
  272. Thu Mar 12 03:46:27 2026 removing 11132621 relations and 9132621 ideals in 2000000 cliques
  273. Thu Mar 12 03:46:43 2026 commencing in-memory singleton removal
  274. Thu Mar 12 03:46:52 2026 begin with 768967971 relations and 749344115 unique ideals
  275. Thu Mar 12 03:47:14 2026 reduce to 768835312 relations and 740078519 ideals in 7 passes
  276. Thu Mar 12 03:47:14 2026 max relations containing the same ideal: 143
  277. Thu Mar 12 03:51:14 2026 removing 11096349 relations and 9096349 ideals in 2000000 cliques
  278. Thu Mar 12 03:51:31 2026 commencing in-memory singleton removal
  279. Thu Mar 12 03:51:39 2026 begin with 757738963 relations and 740078519 unique ideals
  280. Thu Mar 12 03:52:00 2026 reduce to 757603367 relations and 730846237 ideals in 7 passes
  281. Thu Mar 12 03:52:00 2026 max relations containing the same ideal: 141
  282. Thu Mar 12 03:55:55 2026 removing 11068789 relations and 9068789 ideals in 2000000 cliques
  283. Thu Mar 12 03:56:11 2026 commencing in-memory singleton removal
  284. Thu Mar 12 03:56:19 2026 begin with 746534578 relations and 730846237 unique ideals
  285. Thu Mar 12 03:56:40 2026 reduce to 746398037 relations and 721640555 ideals in 6 passes
  286. Thu Mar 12 03:56:40 2026 max relations containing the same ideal: 140
  287. Thu Mar 12 04:00:40 2026 removing 11042293 relations and 9042293 ideals in 2000000 cliques
  288. Thu Mar 12 04:00:57 2026 commencing in-memory singleton removal
  289. Thu Mar 12 04:01:05 2026 begin with 735355744 relations and 721640555 unique ideals
  290. Thu Mar 12 04:01:25 2026 reduce to 735218118 relations and 712460227 ideals in 7 passes
  291. Thu Mar 12 04:01:25 2026 max relations containing the same ideal: 139
  292. Thu Mar 12 04:05:07 2026 removing 11019799 relations and 9019799 ideals in 2000000 cliques
  293. Thu Mar 12 04:05:23 2026 commencing in-memory singleton removal
  294. Thu Mar 12 04:05:31 2026 begin with 724198319 relations and 712460227 unique ideals
  295. Thu Mar 12 04:05:52 2026 reduce to 724058350 relations and 703300063 ideals in 7 passes
  296. Thu Mar 12 04:05:52 2026 max relations containing the same ideal: 137
  297. Thu Mar 12 04:09:29 2026 removing 11000215 relations and 9000215 ideals in 2000000 cliques
  298. Thu Mar 12 04:09:46 2026 commencing in-memory singleton removal
  299. Thu Mar 12 04:09:53 2026 begin with 713058135 relations and 703300063 unique ideals
  300. Thu Mar 12 04:10:19 2026 reduce to 712915703 relations and 694157007 ideals in 9 passes
  301. Thu Mar 12 04:10:19 2026 max relations containing the same ideal: 137
  302. Thu Mar 12 04:13:48 2026 removing 10982749 relations and 8982749 ideals in 2000000 cliques
  303. Thu Mar 12 04:14:03 2026 commencing in-memory singleton removal
  304. Thu Mar 12 04:14:11 2026 begin with 701932954 relations and 694157007 unique ideals
  305. Thu Mar 12 04:14:31 2026 reduce to 701789800 relations and 685030729 ideals in 7 passes
  306. Thu Mar 12 04:14:31 2026 max relations containing the same ideal: 133
  307. Thu Mar 12 04:18:03 2026 removing 10963206 relations and 8963206 ideals in 2000000 cliques
  308. Thu Mar 12 04:18:17 2026 commencing in-memory singleton removal
  309. Thu Mar 12 04:18:25 2026 begin with 690826594 relations and 685030729 unique ideals
  310. Thu Mar 12 04:18:45 2026 reduce to 690681571 relations and 675922094 ideals in 7 passes
  311. Thu Mar 12 04:18:45 2026 max relations containing the same ideal: 133
  312. Thu Mar 12 04:22:15 2026 removing 10951393 relations and 8951393 ideals in 2000000 cliques
  313. Thu Mar 12 04:22:30 2026 commencing in-memory singleton removal
  314. Thu Mar 12 04:22:37 2026 begin with 679730178 relations and 675922094 unique ideals
  315. Thu Mar 12 04:22:57 2026 reduce to 679582256 relations and 666822348 ideals in 7 passes
  316. Thu Mar 12 04:22:57 2026 max relations containing the same ideal: 133
  317. Thu Mar 12 04:26:28 2026 removing 10941328 relations and 8941328 ideals in 2000000 cliques
  318. Thu Mar 12 04:26:43 2026 commencing in-memory singleton removal
  319. Thu Mar 12 04:26:50 2026 begin with 668640928 relations and 666822348 unique ideals
  320. Thu Mar 12 04:27:09 2026 reduce to 668490851 relations and 657730542 ideals in 7 passes
  321. Thu Mar 12 04:27:09 2026 max relations containing the same ideal: 130
  322. Thu Mar 12 04:30:35 2026 removing 6406098 relations and 5351156 ideals in 1054942 cliques
  323. Thu Mar 12 04:30:49 2026 commencing in-memory singleton removal
  324. Thu Mar 12 04:30:56 2026 begin with 662084753 relations and 657730542 unique ideals
  325. Thu Mar 12 04:31:15 2026 reduce to 662036266 relations and 652330850 ideals in 7 passes
  326. Thu Mar 12 04:31:15 2026 max relations containing the same ideal: 129
  327. Thu Mar 12 04:32:29 2026 relations with 0 large ideals: 326920
  328. Thu Mar 12 04:32:29 2026 relations with 1 large ideals: 253864
  329. Thu Mar 12 04:32:29 2026 relations with 2 large ideals: 2925006
  330. Thu Mar 12 04:32:29 2026 relations with 3 large ideals: 18097242
  331. Thu Mar 12 04:32:29 2026 relations with 4 large ideals: 64855125
  332. Thu Mar 12 04:32:29 2026 relations with 5 large ideals: 141172500
  333. Thu Mar 12 04:32:29 2026 relations with 6 large ideals: 188334503
  334. Thu Mar 12 04:32:29 2026 relations with 7+ large ideals: 246071106
  335. Thu Mar 12 04:32:29 2026 commencing 2-way merge
  336. Thu Mar 12 04:37:46 2026 reduce to 405463725 relation sets and 395758309 unique ideals
  337. Thu Mar 12 04:37:46 2026 commencing full merge
  338. Thu Mar 12 06:13:54 2026 memory use: 43681.9 MB
  339. Thu Mar 12 06:14:43 2026 found 192173101 cycles, need 190920509
  340. Thu Mar 12 06:15:50 2026 weight of 190920509 cycles is about 21001532199 (110.00/cycle)
  341. Thu Mar 12 06:15:51 2026 distribution of cycle lengths:
  342. Thu Mar 12 06:15:51 2026 1 relations: 13794302
  343. Thu Mar 12 06:15:51 2026 2 relations: 17754435
  344. Thu Mar 12 06:15:51 2026 3 relations: 19422229
  345. Thu Mar 12 06:15:51 2026 4 relations: 18475202
  346. Thu Mar 12 06:15:51 2026 5 relations: 16880206
  347. Thu Mar 12 06:15:51 2026 6 relations: 15471916
  348. Thu Mar 12 06:15:51 2026 7 relations: 13780706
  349. Thu Mar 12 06:15:51 2026 8 relations: 12395324
  350. Thu Mar 12 06:15:51 2026 9 relations: 11068074
  351. Thu Mar 12 06:15:51 2026 10+ relations: 51878115
  352. Thu Mar 12 06:15:51 2026 heaviest cycle: 24 relations
  353. Thu Mar 12 06:16:28 2026 commencing cycle optimization
  354. Thu Mar 12 06:22:57 2026 start with 1340355807 relations
  355. Thu Mar 12 06:57:23 2026 pruned 34255114 relations
  356. Thu Mar 12 06:57:41 2026 memory use: 41234.3 MB
  357. Thu Mar 12 06:57:43 2026 distribution of cycle lengths:
  358. Thu Mar 12 06:57:43 2026 1 relations: 13794302
  359. Thu Mar 12 06:57:43 2026 2 relations: 18160538
  360. Thu Mar 12 06:57:43 2026 3 relations: 20136810
  361. Thu Mar 12 06:57:43 2026 4 relations: 18938806
  362. Thu Mar 12 06:57:43 2026 5 relations: 17335203
  363. Thu Mar 12 06:57:43 2026 6 relations: 15735156
  364. Thu Mar 12 06:57:43 2026 7 relations: 14008774
  365. Thu Mar 12 06:57:43 2026 8 relations: 12516116
  366. Thu Mar 12 06:57:43 2026 9 relations: 11133719
  367. Thu Mar 12 06:57:43 2026 10+ relations: 49161085
  368. Thu Mar 12 06:57:43 2026 heaviest cycle: 24 relations
  369. Thu Mar 12 07:04:01 2026 RelProcTime: 54081
  370. Thu Mar 12 07:05:30 2026 elapsed time 15:02:51
  371. Thu Mar 12 07:05:33 2026
  372. Thu Mar 12 07:05:33 2026
  373. Thu Mar 12 07:05:33 2026 Msieve v. 1.54 (SVN Unversioned directory)
  374. Thu Mar 12 07:05:33 2026 random seeds: 025e652d 9527daa8
  375. Thu Mar 12 07:05:33 2026 MPI process 0 of 1
  376. Thu Mar 12 07:05:33 2026 Using 46 OpenMP threads
  377. Thu Mar 12 07:05:33 2026 factoring 48494699778264426404409135725622972907267897476433532704436938006597018657058155146261024093430305724925944152333841118048564475845263716464990922831965116330962944498506597746933113362642972306538607938605345553386447446208667019336784689339855127112978742422065573859 (269 digits)
  378. Thu Mar 12 07:05:34 2026 no P-1/P+1/ECM available, skipping
  379. Thu Mar 12 07:05:34 2026 commencing number field sieve (269-digit input)
  380. Thu Mar 12 07:05:34 2026 R0: -66555937033867822607895549241096482953017615834735226163
  381. Thu Mar 12 07:05:34 2026 R1: 1
  382. Thu Mar 12 07:05:34 2026 A0: -1
  383. Thu Mar 12 07:05:34 2026 A1: 0
  384. Thu Mar 12 07:05:34 2026 A2: 0
  385. Thu Mar 12 07:05:34 2026 A3: 0
  386. Thu Mar 12 07:05:34 2026 A4: 0
  387. Thu Mar 12 07:05:34 2026 A5: 0
  388. Thu Mar 12 07:05:34 2026 A6: 3
  389. Thu Mar 12 07:05:34 2026 skew 1.11, size 2.206e-16, alpha 2.177, combined = 1.534e-16 rroots = 2
  390. Thu Mar 12 07:05:34 2026
  391. Thu Mar 12 07:05:34 2026 commencing linear algebra
  392. Thu Mar 12 07:05:34 2026 using VBITS=256
  393. Thu Mar 12 07:05:34 2026 stopping after matrix build
  394. Thu Mar 12 07:05:34 2026 initialized process (0,0) of 1 x 1 grid
  395. Thu Mar 12 07:05:55 2026 read 190920509 cycles
  396. Thu Mar 12 07:12:21 2026 cycles contain 656175848 unique relations
  397. Thu Mar 12 07:23:34 2026 read 656175848 relations
  398. Thu Mar 12 07:24:41 2026 using 20 quadratic characters above 4294917295
  399. Thu Mar 12 07:26:01 2026 building initial matrix
  400. Thu Mar 12 09:48:06 2026 memory use: 89700.7 MB
  401. Thu Mar 12 09:50:25 2026 read 190920509 cycles
  402. Thu Mar 12 09:50:49 2026 matrix is 190920330 x 190920509 (85002.5 MB) with weight 24314610727 (127.35/col)
  403. Thu Mar 12 09:50:49 2026 sparse part has weight 20182768226 (105.71/col)
  404. Thu Mar 12 10:44:08 2026 filtering completed in 2 passes
  405. Thu Mar 12 10:44:43 2026 matrix is 190872114 x 190872287 (84999.1 MB) with weight 24313252101 (127.38/col)
  406. Thu Mar 12 10:44:43 2026 sparse part has weight 20182415674 (105.74/col)
  407. Thu Mar 12 10:52:24 2026 BLanczosTime: 13610
  408. Thu Mar 12 10:52:24 2026 elapsed time 03:46:51
  409. Mon Mar 16 09:27:17 2026
  410. Mon Mar 16 09:27:17 2026
  411. Mon Mar 16 09:27:17 2026 Msieve v. 1.54 (SVN Unversioned directory)
  412. Mon Mar 16 09:27:17 2026 random seeds: 1b453312 46a655a0
  413. Mon Mar 16 09:27:17 2026 MPI process 0 of 4
  414. Mon Mar 16 09:27:17 2026 Using 15 OpenMP threads
  415. Mon Mar 16 09:27:17 2026 factoring 48494699778264426404409135725622972907267897476433532704436938006597018657058155146261024093430305724925944152333841118048564475845263716464990922831965116330962944498506597746933113362642972306538607938605345553386447446208667019336784689339855127112978742422065573859 (269 digits)
  416. Mon Mar 16 09:27:18 2026 no P-1/P+1/ECM available, skipping
  417. Mon Mar 16 09:27:18 2026 commencing number field sieve (269-digit input)
  418. Mon Mar 16 09:27:18 2026 R0: -66555937033867822607895549241096482953017615834735226163
  419. Mon Mar 16 09:27:18 2026 R1: 1
  420. Mon Mar 16 09:27:18 2026 A0: -1
  421. Mon Mar 16 09:27:18 2026 A1: 0
  422. Mon Mar 16 09:27:18 2026 A2: 0
  423. Mon Mar 16 09:27:18 2026 A3: 0
  424. Mon Mar 16 09:27:18 2026 A4: 0
  425. Mon Mar 16 09:27:18 2026 A5: 0
  426. Mon Mar 16 09:27:18 2026 A6: 3
  427. Mon Mar 16 09:27:18 2026 skew 1.11, size 2.206e-16, alpha 2.177, combined = 1.534e-16 rroots = 2
  428. Mon Mar 16 09:27:18 2026
  429. Mon Mar 16 09:27:18 2026 commencing linear algebra
  430. Mon Mar 16 09:27:18 2026 using VBITS=256
  431. Mon Mar 16 09:27:18 2026 skipping matrix build
  432. Mon Mar 16 09:27:18 2026 initialized process (0,0) of 2 x 2 grid
  433. Mon Mar 16 09:29:21 2026 matrix starts at (0, 0)
  434. Mon Mar 16 09:29:27 2026 matrix is 95436177 x 95436258 (24584.1 MB) with weight 7460210565 (78.17/col)
  435. Mon Mar 16 09:29:27 2026 sparse part has weight 5394786370 (56.53/col)
  436. Mon Mar 16 09:29:27 2026 saving the first 240 matrix rows for later
  437. Mon Mar 16 09:29:45 2026 matrix includes 256 packed rows
  438. Mon Mar 16 09:29:57 2026 matrix is 95435937 x 95436258 (22583.7 MB) with weight 4697393608 (49.22/col)
  439. Mon Mar 16 09:29:57 2026 sparse part has weight 4393198760 (46.03/col)
  440. Mon Mar 16 09:29:57 2026 using GPU 0 (NVIDIA H200)
  441. Mon Mar 16 09:29:57 2026 selected card has CUDA arch 9.0
  442. Mon Mar 16 09:37:27 2026 commencing Lanczos iteration
  443. Mon Mar 16 09:37:31 2026 memory use: 53176.7 MB
  444. Mon Mar 16 09:38:27 2026 linear algebra at 0.0%, ETA 89h59m
  445. Mon Mar 16 09:39:47 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  446. Mon Mar 16 15:07:20 2026
  447. Mon Mar 16 15:07:20 2026
  448. Mon Mar 16 15:07:20 2026 Msieve v. 1.54 (SVN Unversioned directory)
  449. Mon Mar 16 15:07:20 2026 random seeds: 13f16849 3bccd279
  450. Mon Mar 16 15:07:20 2026 MPI process 0 of 4
  451. Mon Mar 16 15:07:20 2026 Using 15 OpenMP threads
  452. Mon Mar 16 15:07:20 2026 factoring 48494699778264426404409135725622972907267897476433532704436938006597018657058155146261024093430305724925944152333841118048564475845263716464990922831965116330962944498506597746933113362642972306538607938605345553386447446208667019336784689339855127112978742422065573859 (269 digits)
  453. Mon Mar 16 15:07:21 2026 no P-1/P+1/ECM available, skipping
  454. Mon Mar 16 15:07:21 2026 commencing number field sieve (269-digit input)
  455. Mon Mar 16 15:07:21 2026 R0: -66555937033867822607895549241096482953017615834735226163
  456. Mon Mar 16 15:07:21 2026 R1: 1
  457. Mon Mar 16 15:07:21 2026 A0: -1
  458. Mon Mar 16 15:07:21 2026 A1: 0
  459. Mon Mar 16 15:07:21 2026 A2: 0
  460. Mon Mar 16 15:07:21 2026 A3: 0
  461. Mon Mar 16 15:07:21 2026 A4: 0
  462. Mon Mar 16 15:07:21 2026 A5: 0
  463. Mon Mar 16 15:07:21 2026 A6: 3
  464. Mon Mar 16 15:07:21 2026 skew 1.11, size 2.206e-16, alpha 2.177, combined = 1.534e-16 rroots = 2
  465. Mon Mar 16 15:07:21 2026
  466. Mon Mar 16 15:07:21 2026 commencing linear algebra
  467. Mon Mar 16 15:07:21 2026 using VBITS=256
  468. Mon Mar 16 15:07:21 2026 skipping matrix build
  469. Mon Mar 16 15:07:21 2026 initialized process (0,0) of 2 x 2 grid
  470. Mon Mar 16 15:09:24 2026 matrix starts at (0, 0)
  471. Mon Mar 16 15:09:29 2026 matrix is 95436177 x 95436258 (24584.1 MB) with weight 7460210565 (78.17/col)
  472. Mon Mar 16 15:09:29 2026 sparse part has weight 5394786370 (56.53/col)
  473. Mon Mar 16 15:09:29 2026 saving the first 240 matrix rows for later
  474. Mon Mar 16 15:09:47 2026 matrix includes 256 packed rows
  475. Mon Mar 16 15:09:59 2026 matrix is 95435937 x 95436258 (22583.7 MB) with weight 4697393608 (49.22/col)
  476. Mon Mar 16 15:09:59 2026 sparse part has weight 4393198760 (46.03/col)
  477. Mon Mar 16 15:09:59 2026 using GPU 0 (NVIDIA H200)
  478. Mon Mar 16 15:09:59 2026 selected card has CUDA arch 9.0
  479. Mon Mar 16 15:15:48 2026 commencing Lanczos iteration
  480. Mon Mar 16 15:15:52 2026 memory use: 53176.7 MB
  481. Mon Mar 16 15:16:48 2026 linear algebra at 0.0%, ETA 91h43m
  482. Mon Mar 16 15:18:07 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  483. Fri Mar 20 11:29:44 2026 lanczos halted after 747827 iterations (dim = 190871865)
  484. Fri Mar 20 11:39:47 2026 recovered 32 nontrivial dependencies
  485. Fri Mar 20 11:39:50 2026 BLanczosTime: 333149
  486. Fri Mar 20 11:39:50 2026 elapsed time 92:32:30
  487. Fri Mar 20 15:06:59 2026
  488. Fri Mar 20 15:06:59 2026
  489. Fri Mar 20 15:06:59 2026 Msieve v. 1.54 (SVN Unversioned directory)
  490. Fri Mar 20 15:06:59 2026 random seeds: f252d58a 5f3102a5
  491. Fri Mar 20 15:06:59 2026 MPI process 0 of 1
  492. Fri Mar 20 15:06:59 2026 Using 32 OpenMP threads
  493. Fri Mar 20 15:06:59 2026 factoring 48494699778264426404409135725622972907267897476433532704436938006597018657058155146261024093430305724925944152333841118048564475845263716464990922831965116330962944498506597746933113362642972306538607938605345553386447446208667019336784689339855127112978742422065573859 (269 digits)
  494. Fri Mar 20 15:07:00 2026 no P-1/P+1/ECM available, skipping
  495. Fri Mar 20 15:07:00 2026 commencing number field sieve (269-digit input)
  496. Fri Mar 20 15:07:00 2026 R0: -66555937033867822607895549241096482953017615834735226163
  497. Fri Mar 20 15:07:00 2026 R1: 1
  498. Fri Mar 20 15:07:00 2026 A0: -1
  499. Fri Mar 20 15:07:00 2026 A1: 0
  500. Fri Mar 20 15:07:00 2026 A2: 0
  501. Fri Mar 20 15:07:00 2026 A3: 0
  502. Fri Mar 20 15:07:00 2026 A4: 0
  503. Fri Mar 20 15:07:00 2026 A5: 0
  504. Fri Mar 20 15:07:00 2026 A6: 3
  505. Fri Mar 20 15:07:00 2026 skew 1.11, size 2.206e-16, alpha 2.177, combined = 1.534e-16 rroots = 2
  506. Fri Mar 20 15:07:00 2026
  507. Fri Mar 20 15:07:00 2026 commencing square root phase
  508. Fri Mar 20 15:07:00 2026 reading relations for dependency 1
  509. Fri Mar 20 15:07:18 2026 read 95437424 cycles
  510. Fri Mar 20 15:10:01 2026 cycles contain 328094714 unique relations
  511. Fri Mar 20 15:19:21 2026 read 328094714 relations
  512. Fri Mar 20 15:44:56 2026 multiplying 328094714 relations
  513. Fri Mar 20 16:06:38 2026 multiply complete, coefficients have about 10066.56 million bits
  514. Fri Mar 20 16:07:02 2026 initial square root is modulo 441079
  515. Fri Mar 20 17:10:09 2026 GCD is N, no factor found
  516. Fri Mar 20 17:10:09 2026 reading relations for dependency 2
  517. Fri Mar 20 17:10:31 2026 read 95432995 cycles
  518. Fri Mar 20 17:13:24 2026 cycles contain 328082168 unique relations
  519. Fri Mar 20 17:23:10 2026 read 328082168 relations
  520. Fri Mar 20 17:51:19 2026 multiplying 328082168 relations
  521. Fri Mar 20 18:13:41 2026 multiply complete, coefficients have about 10066.17 million bits
  522. Fri Mar 20 18:14:05 2026 initial square root is modulo 440863
  523. Fri Mar 20 19:18:33 2026 sqrtTime: 15093
  524. Fri Mar 20 19:18:33 2026 p83 factor: 12008746865437673474432689602519382861258897281530721821799118094696129915269077349
  525. Fri Mar 20 19:18:33 2026 p187 factor: 4038281456147337795412846296076151404771652116946621313038790048425380616897191689225528545705894891325491392687186915680536898559970251054892780459357953295430243105615741217157853229991
  526. Fri Mar 20 19:18:33 2026 elapsed time 04:11:34
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