kyleaskine

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Jun 16th, 2026
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  1. Mon Jun 15 17:20:59 2026
  2. Mon Jun 15 17:20:59 2026
  3. Mon Jun 15 17:20:59 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Jun 15 17:20:59 2026 random seeds: 5f76155e 39314f73
  5. Mon Jun 15 17:20:59 2026 Using 8 OpenMP threads
  6. Mon Jun 15 17:20:59 2026 factoring 16872902013964115050647797617167085456022115448148830479452342789184120689022411596881620395862562060373098889150700275191161363694822415593853441357276301504056972638936706269 (176 digits)
  7. Mon Jun 15 17:21:00 2026 no P-1/P+1/ECM available, skipping
  8. Mon Jun 15 17:21:00 2026 commencing number field sieve (176-digit input)
  9. Mon Jun 15 17:21:00 2026 R0: -15493376251119684482929515833345103
  10. Mon Jun 15 17:21:00 2026 R1: 1157880954869640125711
  11. Mon Jun 15 17:21:00 2026 A0: -12196237460288306193569544776566611456703440
  12. Mon Jun 15 17:21:00 2026 A1: 627498498329947169052442422556306832
  13. Mon Jun 15 17:21:00 2026 A2: 71787345735249585094745336049
  14. Mon Jun 15 17:21:00 2026 A3: -686086708249911471017
  15. Mon Jun 15 17:21:00 2026 A4: -8239214453454
  16. Mon Jun 15 17:21:00 2026 A5: 113400
  17. Mon Jun 15 17:21:00 2026 skew 57479879.57, size 5.890e-17, alpha -8.970, combined = 2.163e-13 rroots = 3
  18. Mon Jun 15 17:21:00 2026
  19. Mon Jun 15 17:21:00 2026 commencing relation filtering
  20. Mon Jun 15 17:21:00 2026 setting 3 target densities:Mon Jun 15 17:21:00 2026 80Mon Jun 15 17:21:00 2026 100Mon Jun 15 17:21:00 2026 120Mon Jun 15 17:21:00 2026
  21. Mon Jun 15 17:21:00 2026 estimated available RAM is 78540.1 MB
  22. Mon Jun 15 17:21:00 2026 commencing duplicate removal, pass 1
  23. Mon Jun 15 17:21:29 2026 error -1 reading relation 29274367
  24. Mon Jun 15 17:21:31 2026 error -1 reading relation 31834349
  25. Mon Jun 15 17:21:55 2026 error -1 reading relation 53134383
  26. Mon Jun 15 17:21:59 2026 error -1 reading relation 57616496
  27. Mon Jun 15 17:22:05 2026 error -1 reading relation 62590613
  28. Mon Jun 15 17:22:25 2026 error -1 reading relation 83880081
  29. Mon Jun 15 17:22:25 2026 error -1 reading relation 84141570
  30. Mon Jun 15 17:23:42 2026 error -1 reading relation 144616396
  31. Mon Jun 15 17:24:00 2026 error -1 reading relation 154114736
  32. Mon Jun 15 17:24:21 2026 error -1 reading relation 165785044
  33. Mon Jun 15 17:24:24 2026 error -1 reading relation 167205920
  34. Mon Jun 15 17:24:49 2026 error -1 reading relation 180949359
  35. Mon Jun 15 17:25:01 2026 error -1 reading relation 187935351
  36. Mon Jun 15 17:25:08 2026 error -1 reading relation 191304200
  37. Mon Jun 15 17:25:28 2026 error -1 reading relation 202680700
  38. Mon Jun 15 17:25:34 2026 error -11 reading relation 206224950
  39. Mon Jun 15 17:26:06 2026 error -1 reading relation 224092239
  40. Mon Jun 15 17:26:06 2026 error -1 reading relation 224171778
  41. Mon Jun 15 17:26:07 2026 error -5 reading relation 224626626
  42. Mon Jun 15 17:26:11 2026 error -1 reading relation 226368418
  43. Mon Jun 15 17:26:56 2026 error -1 reading relation 251212691
  44. Mon Jun 15 17:27:19 2026 error -1 reading relation 264038306
  45. Mon Jun 15 17:27:56 2026 error -15 reading relation 283682114
  46. Mon Jun 15 17:27:56 2026 error -1 reading relation 283694016
  47. Mon Jun 15 17:27:56 2026 error -1 reading relation 283751409
  48. Mon Jun 15 17:28:21 2026 error -1 reading relation 297972410
  49. Mon Jun 15 17:28:23 2026 skipped 152 malformed relations
  50. Mon Jun 15 17:28:23 2026 found 52141993 hash collisions in 299169128 relations
  51. Mon Jun 15 17:28:37 2026 added 122074 free relations
  52. Mon Jun 15 17:28:37 2026 commencing duplicate removal, pass 2
  53. Mon Jun 15 17:30:32 2026 found 52189244 duplicates and 247101958 unique relations
  54. Mon Jun 15 17:30:32 2026 memory use: 1705.5 MB
  55. Mon Jun 15 17:30:31 2026 reading ideals above 720000
  56. Mon Jun 15 17:30:31 2026 commencing singleton removal, initial pass
  57. Mon Jun 15 17:45:27 2026 memory use: 6024.0 MB
  58. Mon Jun 15 17:45:27 2026 reading all ideals from disk
  59. Mon Jun 15 17:45:57 2026 memory use: 11719.2 MB
  60. Mon Jun 15 17:46:39 2026 keeping 239163792 ideals with weight <= 200, target excess is 1260316
  61. Mon Jun 15 17:47:02 2026 commencing in-memory singleton removal
  62. Mon Jun 15 17:47:06 2026 begin with 247101958 relations and 239163792 unique ideals
  63. Mon Jun 15 17:47:41 2026 reduce to 139723571 relations and 119118438 ideals in 18 passes
  64. Mon Jun 15 17:47:41 2026 max relations containing the same ideal: 146
  65. Mon Jun 15 17:48:25 2026 removing 12981590 relations and 10981590 ideals in 2000000 cliques
  66. Mon Jun 15 17:48:28 2026 commencing in-memory singleton removal
  67. Mon Jun 15 17:48:30 2026 begin with 126741981 relations and 119118438 unique ideals
  68. Mon Jun 15 17:48:43 2026 reduce to 125767177 relations and 107143585 ideals in 9 passes
  69. Mon Jun 15 17:48:43 2026 max relations containing the same ideal: 135
  70. Mon Jun 15 17:49:32 2026 removing 9900262 relations and 7900262 ideals in 2000000 cliques
  71. Mon Jun 15 17:49:35 2026 commencing in-memory singleton removal
  72. Mon Jun 15 17:49:37 2026 begin with 115866915 relations and 107143585 unique ideals
  73. Mon Jun 15 17:49:40 2026 reduce to 115212165 relations and 98577894 ideals in 9 passes
  74. Mon Jun 15 17:49:40 2026 max relations containing the same ideal: 127
  75. Mon Jun 15 17:50:17 2026 removing 8967631 relations and 6967631 ideals in 2000000 cliques
  76. Mon Jun 15 17:50:20 2026 commencing in-memory singleton removal
  77. Mon Jun 15 17:50:21 2026 begin with 106244534 relations and 98577894 unique ideals
  78. Mon Jun 15 17:50:32 2026 reduce to 105656174 relations and 91012011 ideals in 9 passes
  79. Mon Jun 15 17:50:32 2026 max relations containing the same ideal: 121
  80. Mon Jun 15 17:51:07 2026 removing 8509824 relations and 6509824 ideals in 2000000 cliques
  81. Mon Jun 15 17:51:09 2026 commencing in-memory singleton removal
  82. Mon Jun 15 17:51:10 2026 begin with 97146350 relations and 91012011 unique ideals
  83. Mon Jun 15 17:51:19 2026 reduce to 96567086 relations and 83912783 ideals in 8 passes
  84. Mon Jun 15 17:51:19 2026 max relations containing the same ideal: 113
  85. Mon Jun 15 17:51:51 2026 removing 8241554 relations and 6241554 ideals in 2000000 cliques
  86. Mon Jun 15 17:51:54 2026 commencing in-memory singleton removal
  87. Mon Jun 15 17:51:55 2026 begin with 88325532 relations and 83912783 unique ideals
  88. Mon Jun 15 17:52:04 2026 reduce to 87734561 relations and 77068999 ideals in 9 passes
  89. Mon Jun 15 17:52:04 2026 max relations containing the same ideal: 110
  90. Mon Jun 15 17:52:33 2026 removing 8105165 relations and 6105165 ideals in 2000000 cliques
  91. Mon Jun 15 17:52:35 2026 commencing in-memory singleton removal
  92. Mon Jun 15 17:52:36 2026 begin with 79629396 relations and 77068999 unique ideals
  93. Mon Jun 15 17:52:45 2026 reduce to 79001263 relations and 70322992 ideals in 10 passes
  94. Mon Jun 15 17:52:45 2026 max relations containing the same ideal: 102
  95. Mon Jun 15 17:53:12 2026 removing 8040661 relations and 6040661 ideals in 2000000 cliques
  96. Mon Jun 15 17:53:14 2026 commencing in-memory singleton removal
  97. Mon Jun 15 17:53:15 2026 begin with 70960602 relations and 70322992 unique ideals
  98. Mon Jun 15 17:53:21 2026 reduce to 70268258 relations and 63574781 ideals in 8 passes
  99. Mon Jun 15 17:53:21 2026 max relations containing the same ideal: 91
  100. Mon Jun 15 17:53:45 2026 removing 8047873 relations and 6047873 ideals in 2000000 cliques
  101. Mon Jun 15 17:53:48 2026 commencing in-memory singleton removal
  102. Mon Jun 15 17:53:48 2026 begin with 62220385 relations and 63574781 unique ideals
  103. Mon Jun 15 17:53:54 2026 reduce to 61436349 relations and 56723437 ideals in 9 passes
  104. Mon Jun 15 17:53:54 2026 max relations containing the same ideal: 85
  105. Mon Jun 15 17:54:16 2026 removing 8128766 relations and 6128766 ideals in 2000000 cliques
  106. Mon Jun 15 17:54:18 2026 commencing in-memory singleton removal
  107. Mon Jun 15 17:54:27 2026 begin with 53307583 relations and 56723437 unique ideals
  108. Mon Jun 15 17:54:24 2026 reduce to 52373251 relations and 49634087 ideals in 10 passes
  109. Mon Jun 15 17:54:24 2026 max relations containing the same ideal: 74
  110. Mon Jun 15 17:54:43 2026 removing 5893958 relations and 4616761 ideals in 1277197 cliques
  111. Mon Jun 15 17:54:44 2026 commencing in-memory singleton removal
  112. Mon Jun 15 17:54:44 2026 begin with 46479293 relations and 49634087 unique ideals
  113. Mon Jun 15 17:54:49 2026 reduce to 45921512 relations and 44447590 ideals in 10 passes
  114. Mon Jun 15 17:54:49 2026 max relations containing the same ideal: 67
  115. Mon Jun 15 17:55:06 2026 removing 119316 relations and 107361 ideals in 11955 cliques
  116. Mon Jun 15 17:55:07 2026 commencing in-memory singleton removal
  117. Mon Jun 15 17:55:07 2026 begin with 45802196 relations and 44447590 unique ideals
  118. Mon Jun 15 17:55:10 2026 reduce to 45801989 relations and 44340022 ideals in 5 passes
  119. Mon Jun 15 17:55:10 2026 max relations containing the same ideal: 66
  120. Mon Jun 15 17:55:11 2026 trying target density 80
  121. Mon Jun 15 17:55:14 2026 relations with 0 large ideals: 4598
  122. Mon Jun 15 17:55:14 2026 relations with 1 large ideals: 29148
  123. Mon Jun 15 17:55:14 2026 relations with 2 large ideals: 395623
  124. Mon Jun 15 17:55:14 2026 relations with 3 large ideals: 2234718
  125. Mon Jun 15 17:55:14 2026 relations with 4 large ideals: 6742938
  126. Mon Jun 15 17:55:14 2026 relations with 5 large ideals: 11851756
  127. Mon Jun 15 17:55:14 2026 relations with 6 large ideals: 12624939
  128. Mon Jun 15 17:55:14 2026 relations with 7+ large ideals: 11918269
  129. Mon Jun 15 17:55:14 2026 commencing 2-way merge
  130. Mon Jun 15 17:55:38 2026 reduce to 27478795 relation sets and 26016828 unique ideals
  131. Mon Jun 15 17:55:38 2026 commencing full merge
  132. Mon Jun 15 18:00:39 2026 memory use: 2855.3 MB
  133. Mon Jun 15 18:00:43 2026 found 13928632 cycles, need 13729028
  134. Mon Jun 15 18:00:46 2026 weight of 13729028 cycles is about 1098434262 (80.01/cycle)
  135. Mon Jun 15 18:00:46 2026 distribution of cycle lengths:
  136. Mon Jun 15 18:00:46 2026 1 relations: 1535048
  137. Mon Jun 15 18:00:46 2026 2 relations: 1489433
  138. Mon Jun 15 18:00:46 2026 3 relations: 1540183
  139. Mon Jun 15 18:00:46 2026 4 relations: 1455062
  140. Mon Jun 15 18:00:46 2026 5 relations: 1380948
  141. Mon Jun 15 18:00:46 2026 6 relations: 1242667
  142. Mon Jun 15 18:00:46 2026 7 relations: 1116221
  143. Mon Jun 15 18:00:46 2026 8 relations: 956352
  144. Mon Jun 15 18:00:46 2026 9 relations: 788246
  145. Mon Jun 15 18:00:46 2026 10+ relations: 2224868
  146. Mon Jun 15 18:00:46 2026 heaviest cycle: 19 relations
  147. Mon Jun 15 18:00:49 2026 commencing cycle optimization
  148. Mon Jun 15 18:01:09 2026 start with 78449553 relations
  149. Mon Jun 15 18:02:47 2026 pruned 1710703 relations
  150. Mon Jun 15 18:02:49 2026 memory use: 2657.4 MB
  151. Mon Jun 15 18:02:49 2026 distribution of cycle lengths:
  152. Mon Jun 15 18:02:49 2026 1 relations: 1535048
  153. Mon Jun 15 18:02:49 2026 2 relations: 1521451
  154. Mon Jun 15 18:02:49 2026 3 relations: 1590176
  155. Mon Jun 15 18:02:49 2026 4 relations: 1488837
  156. Mon Jun 15 18:02:49 2026 5 relations: 1413414
  157. Mon Jun 15 18:02:49 2026 6 relations: 1264605
  158. Mon Jun 15 18:02:49 2026 7 relations: 1129715
  159. Mon Jun 15 18:02:49 2026 8 relations: 957139
  160. Mon Jun 15 18:02:49 2026 9 relations: 780744
  161. Mon Jun 15 18:02:49 2026 10+ relations: 2047899
  162. Mon Jun 15 18:02:49 2026 heaviest cycle: 19 relations
  163. Mon Jun 15 18:03:12 2026 trying target density 100
  164. Mon Jun 15 18:03:15 2026 relations with 0 large ideals: 4598
  165. Mon Jun 15 18:03:15 2026 relations with 1 large ideals: 29148
  166. Mon Jun 15 18:03:15 2026 relations with 2 large ideals: 395623
  167. Mon Jun 15 18:03:15 2026 relations with 3 large ideals: 2234718
  168. Mon Jun 15 18:03:15 2026 relations with 4 large ideals: 6742938
  169. Mon Jun 15 18:03:15 2026 relations with 5 large ideals: 11851756
  170. Mon Jun 15 18:03:15 2026 relations with 6 large ideals: 12624939
  171. Mon Jun 15 18:03:15 2026 relations with 7+ large ideals: 11918269
  172. Mon Jun 15 18:03:15 2026 commencing 2-way merge
  173. Mon Jun 15 18:03:38 2026 reduce to 27478795 relation sets and 26016828 unique ideals
  174. Mon Jun 15 18:03:38 2026 commencing full merge
  175. Mon Jun 15 18:10:39 2026 memory use: 2900.4 MB
  176. Mon Jun 15 18:10:42 2026 found 12759421 cycles, need 12581028
  177. Mon Jun 15 18:10:45 2026 weight of 12581028 cycles is about 1258430832 (100.03/cycle)
  178. Mon Jun 15 18:10:45 2026 distribution of cycle lengths:
  179. Mon Jun 15 18:10:45 2026 1 relations: 1141331
  180. Mon Jun 15 18:10:45 2026 2 relations: 1046910
  181. Mon Jun 15 18:10:45 2026 3 relations: 1102182
  182. Mon Jun 15 18:10:45 2026 4 relations: 1064872
  183. Mon Jun 15 18:10:45 2026 5 relations: 1056615
  184. Mon Jun 15 18:10:45 2026 6 relations: 1014069
  185. Mon Jun 15 18:10:45 2026 7 relations: 951357
  186. Mon Jun 15 18:10:45 2026 8 relations: 865727
  187. Mon Jun 15 18:10:45 2026 9 relations: 786847
  188. Mon Jun 15 18:10:45 2026 10+ relations: 3551118
  189. Mon Jun 15 18:10:45 2026 heaviest cycle: 24 relations
  190. Mon Jun 15 18:10:48 2026 commencing cycle optimization
  191. Mon Jun 15 18:11:11 2026 start with 89581178 relations
  192. Mon Jun 15 18:13:40 2026 pruned 2653575 relations
  193. Mon Jun 15 18:13:40 2026 memory use: 2768.7 MB
  194. Mon Jun 15 18:13:41 2026 distribution of cycle lengths:
  195. Mon Jun 15 18:13:41 2026 1 relations: 1141331
  196. Mon Jun 15 18:13:41 2026 2 relations: 1073052
  197. Mon Jun 15 18:13:41 2026 3 relations: 1141933
  198. Mon Jun 15 18:13:41 2026 4 relations: 1097836
  199. Mon Jun 15 18:13:41 2026 5 relations: 1093802
  200. Mon Jun 15 18:13:41 2026 6 relations: 1042980
  201. Mon Jun 15 18:13:41 2026 7 relations: 977296
  202. Mon Jun 15 18:13:41 2026 8 relations: 884326
  203. Mon Jun 15 18:13:41 2026 9 relations: 799967
  204. Mon Jun 15 18:13:41 2026 10+ relations: 3328505
  205. Mon Jun 15 18:13:41 2026 heaviest cycle: 23 relations
  206. Mon Jun 15 18:14:05 2026 trying target density 120
  207. Mon Jun 15 18:14:08 2026 relations with 0 large ideals: 4598
  208. Mon Jun 15 18:14:08 2026 relations with 1 large ideals: 29148
  209. Mon Jun 15 18:14:08 2026 relations with 2 large ideals: 395623
  210. Mon Jun 15 18:14:08 2026 relations with 3 large ideals: 2234718
  211. Mon Jun 15 18:14:08 2026 relations with 4 large ideals: 6742938
  212. Mon Jun 15 18:14:08 2026 relations with 5 large ideals: 11851756
  213. Mon Jun 15 18:14:08 2026 relations with 6 large ideals: 12624939
  214. Mon Jun 15 18:14:08 2026 relations with 7+ large ideals: 11918269
  215. Mon Jun 15 18:14:08 2026 commencing 2-way merge
  216. Mon Jun 15 18:14:40 2026 reduce to 27478795 relation sets and 26016828 unique ideals
  217. Mon Jun 15 18:14:40 2026 commencing full merge
  218. Mon Jun 15 18:22:33 2026 memory use: 2927.0 MB
  219. Mon Jun 15 18:22:35 2026 found 11890418 cycles, need 11791028
  220. Mon Jun 15 18:22:47 2026 weight of 11791028 cycles is about 1415543301 (120.05/cycle)
  221. Mon Jun 15 18:22:47 2026 distribution of cycle lengths:
  222. Mon Jun 15 18:22:47 2026 1 relations: 913619
  223. Mon Jun 15 18:22:47 2026 2 relations: 796396
  224. Mon Jun 15 18:22:47 2026 3 relations: 830413
  225. Mon Jun 15 18:22:47 2026 4 relations: 833415
  226. Mon Jun 15 18:22:47 2026 5 relations: 835485
  227. Mon Jun 15 18:22:47 2026 6 relations: 824538
  228. Mon Jun 15 18:22:47 2026 7 relations: 789076
  229. Mon Jun 15 18:22:47 2026 8 relations: 759119
  230. Mon Jun 15 18:22:47 2026 9 relations: 711701
  231. Mon Jun 15 18:22:47 2026 10+ relations: 4497266
  232. Mon Jun 15 18:22:47 2026 heaviest cycle: 28 relations
  233. Mon Jun 15 18:22:49 2026 commencing cycle optimization
  234. Mon Jun 15 18:23:10 2026 start with 100313595 relations
  235. Mon Jun 15 18:25:43 2026 pruned 3677527 relations
  236. Mon Jun 15 18:25:43 2026 memory use: 2873.5 MB
  237. Mon Jun 15 18:25:43 2026 distribution of cycle lengths:
  238. Mon Jun 15 18:25:43 2026 1 relations: 913619
  239. Mon Jun 15 18:25:43 2026 2 relations: 817408
  240. Mon Jun 15 18:25:43 2026 3 relations: 862497
  241. Mon Jun 15 18:25:43 2026 4 relations: 863212
  242. Mon Jun 15 18:25:43 2026 5 relations: 869998
  243. Mon Jun 15 18:25:43 2026 6 relations: 854604
  244. Mon Jun 15 18:25:43 2026 7 relations: 820837
  245. Mon Jun 15 18:25:43 2026 8 relations: 784370
  246. Mon Jun 15 18:25:43 2026 9 relations: 735085
  247. Mon Jun 15 18:25:43 2026 10+ relations: 4269398
  248. Mon Jun 15 18:25:43 2026 heaviest cycle: 28 relations
  249. Mon Jun 15 18:25:59 2026 RelProcTime: 3899
  250. Mon Jun 15 18:26:01 2026
  251. Mon Jun 15 18:26:01 2026 commencing linear algebra
  252. Mon Jun 15 18:26:01 2026 using VBITS=64
  253. Mon Jun 15 18:26:01 2026 building matrices for all densities
  254. Mon Jun 15 18:26:01 2026 found 3 density files
  255. Mon Jun 15 18:26:01 2026 building matrix for density 80
  256. Mon Jun 15 18:26:02 2026 read 13729028 cycles
  257. Mon Jun 15 18:26:24 2026 cycles contain 44689334 unique relations
  258. Mon Jun 15 18:26:46 2026 read 44689334 relations
  259. Mon Jun 15 18:26:56 2026 using 20 quadratic characters above 4294917295
  260. Mon Jun 15 18:27:15 2026 building initial matrix
  261. Mon Jun 15 18:33:27 2026 memory use: 6284.6 MB
  262. Mon Jun 15 18:33:31 2026 read 13729028 cycles
  263. Mon Jun 15 18:33:33 2026 matrix is 13728844 x 13729028 (4690.3 MB) with weight 1478517085 (107.69/col)
  264. Mon Jun 15 18:33:33 2026 sparse part has weight 1064797359 (77.56/col)
  265. Mon Jun 15 18:35:21 2026 filtering completed in 2 passes
  266. Mon Jun 15 18:35:23 2026 matrix is 13714526 x 13714705 (4689.1 MB) with weight 1477954260 (107.76/col)
  267. Mon Jun 15 18:35:23 2026 sparse part has weight 1064652621 (77.63/col)
  268. Mon Jun 15 18:35:45 2026 building matrix for density 100
  269. Mon Jun 15 18:35:46 2026 read 12581028 cycles
  270. Mon Jun 15 18:36:02 2026 cycles contain 44720843 unique relations
  271. Mon Jun 15 18:37:06 2026 read 44720843 relations
  272. Mon Jun 15 18:37:21 2026 using 20 quadratic characters above 4294917295
  273. Mon Jun 15 18:37:30 2026 building initial matrix
  274. Mon Jun 15 18:44:53 2026 memory use: 6260.1 MB
  275. Mon Jun 15 18:44:58 2026 read 12581028 cycles
  276. Mon Jun 15 18:44:59 2026 matrix is 12580844 x 12581028 (5152.6 MB) with weight 1606367970 (127.68/col)
  277. Mon Jun 15 18:44:59 2026 sparse part has weight 1199755594 (95.36/col)
  278. Mon Jun 15 18:46:54 2026 filtering completed in 2 passes
  279. Mon Jun 15 18:46:57 2026 matrix is 12574393 x 12574574 (5152.0 MB) with weight 1606061053 (127.72/col)
  280. Mon Jun 15 18:46:57 2026 sparse part has weight 1199662372 (95.40/col)
  281. Mon Jun 15 18:47:19 2026 building matrix for density 120
  282. Mon Jun 15 18:47:20 2026 read 11791028 cycles
  283. Mon Jun 15 18:47:38 2026 cycles contain 44727601 unique relations
  284. Mon Jun 15 18:48:22 2026 read 44727601 relations
  285. Mon Jun 15 18:48:34 2026 using 20 quadratic characters above 4294917295
  286. Mon Jun 15 18:48:52 2026 building initial matrix
  287. Mon Jun 15 18:55:38 2026 memory use: 6273.9 MB
  288. Mon Jun 15 18:55:42 2026 read 11791028 cycles
  289. Mon Jun 15 18:55:44 2026 matrix is 11790848 x 11791028 (5608.1 MB) with weight 1730781048 (146.79/col)
  290. Mon Jun 15 18:55:44 2026 sparse part has weight 1328629072 (112.68/col)
  291. Mon Jun 15 18:57:28 2026 filtering completed in 2 passes
  292. Mon Jun 15 18:57:20 2026 matrix is 11788767 x 11788947 (5607.8 MB) with weight 1730669607 (146.80/col)
  293. Mon Jun 15 18:57:20 2026 sparse part has weight 1328593205 (112.70/col)
  294. Mon Jun 15 18:57:40 2026 BLanczosTime: 1899
  295. Mon Jun 15 18:57:40 2026 elapsed time 01:36:41
  296. Tue Jun 16 00:50:29 2026
  297. Tue Jun 16 00:50:29 2026
  298. Tue Jun 16 00:50:29 2026 Msieve v. 1.54 (SVN unknown)
  299. Tue Jun 16 00:50:29 2026 random seeds: 652c40e4 34d1af0a
  300. Tue Jun 16 00:50:29 2026 Using 8 OpenMP threads
  301. Tue Jun 16 00:50:29 2026 factoring 16872902013964115050647797617167085456022115448148830479452342789184120689022411596881620395862562060373098889150700275191161363694822415593853441357276301504056972638936706269 (176 digits)
  302. Tue Jun 16 00:50:30 2026 no P-1/P+1/ECM available, skipping
  303. Tue Jun 16 00:50:30 2026 commencing number field sieve (176-digit input)
  304. Tue Jun 16 00:50:30 2026 R0: -15493376251119684482929515833345103
  305. Tue Jun 16 00:50:30 2026 R1: 1157880954869640125711
  306. Tue Jun 16 00:50:30 2026 A0: -12196237460288306193569544776566611456703440
  307. Tue Jun 16 00:50:30 2026 A1: 627498498329947169052442422556306832
  308. Tue Jun 16 00:50:30 2026 A2: 71787345735249585094745336049
  309. Tue Jun 16 00:50:30 2026 A3: -686086708249911471017
  310. Tue Jun 16 00:50:30 2026 A4: -8239214453454
  311. Tue Jun 16 00:50:30 2026 A5: 113400
  312. Tue Jun 16 00:50:30 2026 skew 57479879.57, size 5.890e-17, alpha -8.970, combined = 2.163e-13 rroots = 3
  313. Tue Jun 16 00:50:30 2026
  314. Tue Jun 16 00:50:30 2026 commencing linear algebra
  315. Tue Jun 16 00:50:30 2026 using VBITS=256
  316. Tue Jun 16 00:50:30 2026 skipping matrix build
  317. Tue Jun 16 00:50:37 2026 matrix starts at (0, 0)
  318. Tue Jun 16 00:50:40 2026 matrix is 11788767 x 11788947 (5607.8 MB) with weight 1730669607 (146.80/col)
  319. Tue Jun 16 00:50:40 2026 sparse part has weight 1328593205 (112.70/col)
  320. Tue Jun 16 00:50:40 2026 saving the first 240 matrix rows for later
  321. Tue Jun 16 00:50:44 2026 matrix includes 256 packed rows
  322. Tue Jun 16 00:50:49 2026 matrix is 11788527 x 11788947 (5076.0 MB) with weight 1219119828 (103.41/col)
  323. Tue Jun 16 00:50:49 2026 sparse part has weight 1142031857 (96.87/col)
  324. Tue Jun 16 00:50:49 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  325. Tue Jun 16 00:50:49 2026 selected card has CUDA arch 7.0
  326. Tue Jun 16 00:50:49 2026 nonzeros per matrix block: 256000000
  327. Tue Jun 16 00:53:18 2026 commencing Lanczos iteration
  328. Tue Jun 16 00:53:19 2026 memory use: 12040.9 MB
  329. Tue Jun 16 00:54:26 2026 linear algebra at 0.3%, ETA 7h 2m
  330. Tue Jun 16 00:56:04 2026 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  331. Tue Jun 16 07:51:26 2026 lanczos halted after 46187 iterations (dim = 11788525)
  332. Tue Jun 16 07:52:46 2026 recovered 32 nontrivial dependencies
  333. Tue Jun 16 07:52:47 2026 BLanczosTime: 25337
  334. Tue Jun 16 07:52:47 2026 elapsed time 07:02:18
  335. Tue Jun 16 06:02:35 2026
  336. Tue Jun 16 06:02:35 2026
  337. Tue Jun 16 06:02:35 2026 Msieve v. 1.54 (SVN unknown)
  338. Tue Jun 16 06:02:35 2026 random seeds: d0822979 6cfb76ac
  339. Tue Jun 16 06:02:35 2026 Using 8 OpenMP threads
  340. Tue Jun 16 06:02:35 2026 factoring 16872902013964115050647797617167085456022115448148830479452342789184120689022411596881620395862562060373098889150700275191161363694822415593853441357276301504056972638936706269 (176 digits)
  341. Tue Jun 16 06:02:35 2026 no P-1/P+1/ECM available, skipping
  342. Tue Jun 16 06:02:35 2026 commencing number field sieve (176-digit input)
  343. Tue Jun 16 06:02:35 2026 R0: -15493376251119684482929515833345103
  344. Tue Jun 16 06:02:35 2026 R1: 1157880954869640125711
  345. Tue Jun 16 06:02:35 2026 A0: -12196237460288306193569544776566611456703440
  346. Tue Jun 16 06:02:35 2026 A1: 627498498329947169052442422556306832
  347. Tue Jun 16 06:02:35 2026 A2: 71787345735249585094745336049
  348. Tue Jun 16 06:02:35 2026 A3: -686086708249911471017
  349. Tue Jun 16 06:02:35 2026 A4: -8239214453454
  350. Tue Jun 16 06:02:35 2026 A5: 113400
  351. Tue Jun 16 06:02:35 2026 skew 57479879.57, size 5.890e-17, alpha -8.970, combined = 2.163e-13 rroots = 3
  352. Tue Jun 16 06:02:35 2026
  353. Tue Jun 16 06:02:35 2026 commencing square root phase
  354. Tue Jun 16 06:02:35 2026 reading relations for dependency 1
  355. Tue Jun 16 06:02:48 2026 read 5895292 cycles
  356. Tue Jun 16 06:03:14 2026 cycles contain 22362928 unique relations
  357. Tue Jun 16 06:04:57 2026 read 22362928 relations
  358. Tue Jun 16 06:07:27 2026 multiplying 22362928 relations
  359. Tue Jun 16 06:11:16 2026 multiply complete, coefficients have about 1240.58 million bits
  360. Tue Jun 16 06:11:20 2026 initial square root is modulo 367219
  361. Tue Jun 16 06:20:16 2026 sqrtTime: 1061
  362. Tue Jun 16 06:20:16 2026 p66 factor: 382787000244363925368824381616067524108462151924456250286551918617
  363. Tue Jun 16 06:20:16 2026 p110 factor: 44079088378635575366365837300008521491110712345832826077870597187362331620939109229056101585524355248617280357
  364. Tue Jun 16 06:20:16 2026 elapsed time 00:17:41
  365.  
Tags: math
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