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kyleaskine
Jun 27th, 2026
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  1. Sat Jun 27 06:25:12 2026
  2. Sat Jun 27 06:25:12 2026
  3. Sat Jun 27 06:25:12 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Jun 27 06:25:12 2026 random seeds: 06456985 33d77513
  5. Sat Jun 27 06:25:12 2026 Using 8 OpenMP threads
  6. Sat Jun 27 06:25:12 2026 factoring 10835606311534585826835113011949321754585817354622182572841690709448779152557046744417153653515697793395053380031103214968987577449319046274849560374137325388585698076022741463611509 (182 digits)
  7. Sat Jun 27 06:25:13 2026 no P-1/P+1/ECM available, skipping
  8. Sat Jun 27 06:25:13 2026 commencing number field sieve (182-digit input)
  9. Sat Jun 27 06:25:13 2026 R0: 9712389840933546593165482124231110126562
  10. Sat Jun 27 06:25:13 2026 R1: -98551457832614260081
  11. Sat Jun 27 06:25:13 2026 A0: -1
  12. Sat Jun 27 06:25:13 2026 A1: 3
  13. Sat Jun 27 06:25:13 2026 A2: 6
  14. Sat Jun 27 06:25:13 2026 A3: -4
  15. Sat Jun 27 06:25:13 2026 A4: -5
  16. Sat Jun 27 06:25:13 2026 A5: 1
  17. Sat Jun 27 06:25:13 2026 A6: 1
  18. Sat Jun 27 06:25:13 2026 skew 1.37, size 8.468e-12, alpha 3.126, combined = 5.557e-13 rroots = 6
  19. Sat Jun 27 06:25:13 2026
  20. Sat Jun 27 06:25:13 2026 commencing relation filtering
  21. Sat Jun 27 06:25:13 2026 setting 7 target densities:Sat Jun 27 06:25:13 2026 70Sat Jun 27 06:25:13 2026 80Sat Jun 27 06:25:13 2026 90Sat Jun 27 06:25:13 2026 100Sat Jun 27 06:25:13 2026 110Sat Jun 27 06:25:13 2026 120Sat Jun 27 06:25:13 2026 130Sat Jun 27 06:25:13 2026
  22. Sat Jun 27 06:25:13 2026 estimated available RAM is 78540.1 MB
  23. Sat Jun 27 06:25:13 2026 commencing duplicate removal, pass 1
  24. Sat Jun 27 06:25:22 2026 error -1 reading relation 2027750
  25. Sat Jun 27 06:25:39 2026 error -1 reading relation 8615824
  26. Sat Jun 27 06:25:54 2026 error -1 reading relation 13925423
  27. Sat Jun 27 06:27:17 2026 error -1 reading relation 45517309
  28. Sat Jun 27 06:27:40 2026 error -1 reading relation 54203788
  29. Sat Jun 27 06:28:29 2026 error -1 reading relation 72641132
  30. Sat Jun 27 06:28:30 2026 error -1 reading relation 72955214
  31. Sat Jun 27 06:28:38 2026 error -1 reading relation 75956089
  32. Sat Jun 27 06:28:46 2026 error -1 reading relation 79002154
  33. Sat Jun 27 06:28:52 2026 error -15 reading relation 81197589
  34. Sat Jun 27 06:29:02 2026 error -1 reading relation 84837794
  35. Sat Jun 27 06:29:10 2026 error -1 reading relation 88037197
  36. Sat Jun 27 06:29:14 2026 error -1 reading relation 89341998
  37. Sat Jun 27 06:29:15 2026 error -1 reading relation 89683724
  38. Sat Jun 27 06:29:49 2026 error -1 reading relation 101575953
  39. Sat Jun 27 06:30:23 2026 error -11 reading relation 113579633
  40. Sat Jun 27 06:30:33 2026 error -1 reading relation 117341570
  41. Sat Jun 27 06:30:54 2026 error -1 reading relation 124496726
  42. Sat Jun 27 06:31:26 2026 error -1 reading relation 135006417
  43. Sat Jun 27 06:31:34 2026 error -1 reading relation 137522995
  44. Sat Jun 27 06:31:35 2026 error -1 reading relation 137712841
  45. Sat Jun 27 06:32:46 2026 error -1 reading relation 160107054
  46. Sat Jun 27 06:32:47 2026 error -1 reading relation 160300576
  47. Sat Jun 27 06:32:50 2026 error -1 reading relation 161205333
  48. Sat Jun 27 06:32:50 2026 error -1 reading relation 161295936
  49. Sat Jun 27 06:32:50 2026 error -1 reading relation 161328389
  50. Sat Jun 27 06:33:11 2026 skipped 17 relations with b > 2^32
  51. Sat Jun 27 06:33:11 2026 skipped 143 malformed relations
  52. Sat Jun 27 06:33:11 2026 found 33288881 hash collisions in 168370249 relations
  53. Sat Jun 27 06:33:17 2026 added 2438358 free relations
  54. Sat Jun 27 06:33:17 2026 commencing duplicate removal, pass 2
  55. Sat Jun 27 06:35:04 2026 found 34090894 duplicates and 136717713 unique relations
  56. Sat Jun 27 06:35:04 2026 memory use: 852.8 MB
  57. Sat Jun 27 06:35:04 2026 reading ideals above 720000
  58. Sat Jun 27 06:35:04 2026 commencing singleton removal, initial pass
  59. Sat Jun 27 06:49:17 2026 memory use: 3012.0 MB
  60. Sat Jun 27 06:49:18 2026 reading all ideals from disk
  61. Sat Jun 27 06:49:30 2026 memory use: 6334.3 MB
  62. Sat Jun 27 06:49:59 2026 keeping 128697578 ideals with weight <= 200, target excess is 680813
  63. Sat Jun 27 06:50:22 2026 commencing in-memory singleton removal
  64. Sat Jun 27 06:50:25 2026 begin with 136717713 relations and 128697578 unique ideals
  65. Sat Jun 27 06:50:59 2026 reduce to 85315229 relations and 71880514 ideals in 15 passes
  66. Sat Jun 27 06:50:59 2026 max relations containing the same ideal: 153
  67. Sat Jun 27 06:51:51 2026 removing 10112662 relations and 8112662 ideals in 2000000 cliques
  68. Sat Jun 27 06:51:55 2026 commencing in-memory singleton removal
  69. Sat Jun 27 06:51:58 2026 begin with 75202567 relations and 71880514 unique ideals
  70. Sat Jun 27 06:52:12 2026 reduce to 74197090 relations and 62731576 ideals in 9 passes
  71. Sat Jun 27 06:52:12 2026 max relations containing the same ideal: 145
  72. Sat Jun 27 06:52:57 2026 removing 7925237 relations and 5925237 ideals in 2000000 cliques
  73. Sat Jun 27 06:53:00 2026 commencing in-memory singleton removal
  74. Sat Jun 27 06:53:02 2026 begin with 66271853 relations and 62731576 unique ideals
  75. Sat Jun 27 06:53:13 2026 reduce to 65546741 relations and 56060948 ideals in 8 passes
  76. Sat Jun 27 06:53:13 2026 max relations containing the same ideal: 133
  77. Sat Jun 27 06:53:53 2026 removing 7341770 relations and 5341770 ideals in 2000000 cliques
  78. Sat Jun 27 06:53:57 2026 commencing in-memory singleton removal
  79. Sat Jun 27 06:53:58 2026 begin with 58204971 relations and 56060948 unique ideals
  80. Sat Jun 27 06:54:08 2026 reduce to 57512273 relations and 50005853 ideals in 9 passes
  81. Sat Jun 27 06:54:08 2026 max relations containing the same ideal: 122
  82. Sat Jun 27 06:54:45 2026 removing 7086215 relations and 5086215 ideals in 2000000 cliques
  83. Sat Jun 27 06:54:48 2026 commencing in-memory singleton removal
  84. Sat Jun 27 06:54:50 2026 begin with 50426058 relations and 50005853 unique ideals
  85. Sat Jun 27 06:54:59 2026 reduce to 49697831 relations and 44168059 ideals in 8 passes
  86. Sat Jun 27 06:54:59 2026 max relations containing the same ideal: 112
  87. Sat Jun 27 06:55:31 2026 removing 6975172 relations and 4975172 ideals in 2000000 cliques
  88. Sat Jun 27 06:55:34 2026 commencing in-memory singleton removal
  89. Sat Jun 27 06:55:35 2026 begin with 42722659 relations and 44168059 unique ideals
  90. Sat Jun 27 06:55:42 2026 reduce to 41918440 relations and 38359064 ideals in 9 passes
  91. Sat Jun 27 06:55:42 2026 max relations containing the same ideal: 102
  92. Sat Jun 27 06:56:09 2026 removing 6945422 relations and 4945422 ideals in 2000000 cliques
  93. Sat Jun 27 06:56:12 2026 commencing in-memory singleton removal
  94. Sat Jun 27 06:56:13 2026 begin with 34973018 relations and 38359064 unique ideals
  95. Sat Jun 27 06:56:19 2026 reduce to 34029966 relations and 32429728 ideals in 9 passes
  96. Sat Jun 27 06:56:19 2026 max relations containing the same ideal: 85
  97. Sat Jun 27 06:56:41 2026 removing 3457203 relations and 2646709 ideals in 810494 cliques
  98. Sat Jun 27 06:56:42 2026 commencing in-memory singleton removal
  99. Sat Jun 27 06:56:43 2026 begin with 30572763 relations and 32429728 unique ideals
  100. Sat Jun 27 06:56:47 2026 reduce to 30288966 relations and 29492851 ideals in 8 passes
  101. Sat Jun 27 06:56:47 2026 max relations containing the same ideal: 78
  102. Sat Jun 27 06:57:10 2026 trying target density 70
  103. Sat Jun 27 06:57:15 2026 relations with 0 large ideals: 50910
  104. Sat Jun 27 06:57:15 2026 relations with 1 large ideals: 12308
  105. Sat Jun 27 06:57:15 2026 relations with 2 large ideals: 151183
  106. Sat Jun 27 06:57:15 2026 relations with 3 large ideals: 941800
  107. Sat Jun 27 06:57:15 2026 relations with 4 large ideals: 3194983
  108. Sat Jun 27 06:57:15 2026 relations with 5 large ideals: 6455433
  109. Sat Jun 27 06:57:15 2026 relations with 6 large ideals: 8086665
  110. Sat Jun 27 06:57:15 2026 relations with 7+ large ideals: 11395684
  111. Sat Jun 27 06:57:15 2026 commencing 2-way merge
  112. Sat Jun 27 06:57:43 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  113. Sat Jun 27 06:57:43 2026 commencing full merge
  114. Sat Jun 27 07:05:42 2026 memory use: 2399.4 MB
  115. Sat Jun 27 07:05:47 2026 found 10510278 cycles, need 10397770
  116. Sat Jun 27 07:05:52 2026 weight of 10397770 cycles is about 728202422 (70.03/cycle)
  117. Sat Jun 27 07:05:52 2026 distribution of cycle lengths:
  118. Sat Jun 27 07:05:52 2026 1 relations: 1338918
  119. Sat Jun 27 07:05:52 2026 2 relations: 1274773
  120. Sat Jun 27 07:05:52 2026 3 relations: 1208058
  121. Sat Jun 27 07:05:52 2026 4 relations: 1115516
  122. Sat Jun 27 07:05:52 2026 5 relations: 1033209
  123. Sat Jun 27 07:05:52 2026 6 relations: 914813
  124. Sat Jun 27 07:05:52 2026 7 relations: 801733
  125. Sat Jun 27 07:05:52 2026 8 relations: 674419
  126. Sat Jun 27 07:05:52 2026 9 relations: 550302
  127. Sat Jun 27 07:05:52 2026 10+ relations: 1486029
  128. Sat Jun 27 07:05:52 2026 heaviest cycle: 21 relations
  129. Sat Jun 27 07:05:56 2026 commencing cycle optimization
  130. Sat Jun 27 07:06:20 2026 start with 56371807 relations
  131. Sat Jun 27 07:08:28 2026 pruned 1457277 relations
  132. Sat Jun 27 07:08:29 2026 memory use: 1818.0 MB
  133. Sat Jun 27 07:08:29 2026 distribution of cycle lengths:
  134. Sat Jun 27 07:08:29 2026 1 relations: 1338918
  135. Sat Jun 27 07:08:29 2026 2 relations: 1297684
  136. Sat Jun 27 07:08:29 2026 3 relations: 1246560
  137. Sat Jun 27 07:08:29 2026 4 relations: 1144745
  138. Sat Jun 27 07:08:29 2026 5 relations: 1062661
  139. Sat Jun 27 07:08:29 2026 6 relations: 935477
  140. Sat Jun 27 07:08:29 2026 7 relations: 816831
  141. Sat Jun 27 07:08:29 2026 8 relations: 678417
  142. Sat Jun 27 07:08:29 2026 9 relations: 544097
  143. Sat Jun 27 07:08:29 2026 10+ relations: 1332380
  144. Sat Jun 27 07:08:29 2026 heaviest cycle: 21 relations
  145. Sat Jun 27 07:08:54 2026 trying target density 80
  146. Sat Jun 27 07:08:57 2026 relations with 0 large ideals: 50910
  147. Sat Jun 27 07:08:57 2026 relations with 1 large ideals: 12308
  148. Sat Jun 27 07:08:57 2026 relations with 2 large ideals: 151183
  149. Sat Jun 27 07:08:57 2026 relations with 3 large ideals: 941800
  150. Sat Jun 27 07:08:57 2026 relations with 4 large ideals: 3194983
  151. Sat Jun 27 07:08:57 2026 relations with 5 large ideals: 6455433
  152. Sat Jun 27 07:08:57 2026 relations with 6 large ideals: 8086665
  153. Sat Jun 27 07:08:57 2026 relations with 7+ large ideals: 11395684
  154. Sat Jun 27 07:08:57 2026 commencing 2-way merge
  155. Sat Jun 27 07:09:21 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  156. Sat Jun 27 07:09:21 2026 commencing full merge
  157. Sat Jun 27 07:18:55 2026 memory use: 2456.6 MB
  158. Sat Jun 27 07:19:00 2026 found 10020638 cycles, need 9913770
  159. Sat Jun 27 07:19:03 2026 weight of 9913770 cycles is about 793243905 (80.01/cycle)
  160. Sat Jun 27 07:19:03 2026 distribution of cycle lengths:
  161. Sat Jun 27 07:19:03 2026 1 relations: 1033382
  162. Sat Jun 27 07:19:03 2026 2 relations: 1046758
  163. Sat Jun 27 07:19:03 2026 3 relations: 1030952
  164. Sat Jun 27 07:19:03 2026 4 relations: 975050
  165. Sat Jun 27 07:19:03 2026 5 relations: 914910
  166. Sat Jun 27 07:19:03 2026 6 relations: 846460
  167. Sat Jun 27 07:19:03 2026 7 relations: 762408
  168. Sat Jun 27 07:19:03 2026 8 relations: 672198
  169. Sat Jun 27 07:19:03 2026 9 relations: 578531
  170. Sat Jun 27 07:19:03 2026 10+ relations: 2053121
  171. Sat Jun 27 07:19:03 2026 heaviest cycle: 24 relations
  172. Sat Jun 27 07:19:08 2026 commencing cycle optimization
  173. Sat Jun 27 07:19:37 2026 start with 61566561 relations
  174. Sat Jun 27 07:22:20 2026 pruned 1901691 relations
  175. Sat Jun 27 07:22:22 2026 memory use: 1876.8 MB
  176. Sat Jun 27 07:22:22 2026 distribution of cycle lengths:
  177. Sat Jun 27 07:22:22 2026 1 relations: 1033382
  178. Sat Jun 27 07:22:22 2026 2 relations: 1066992
  179. Sat Jun 27 07:22:22 2026 3 relations: 1066762
  180. Sat Jun 27 07:22:22 2026 4 relations: 1004405
  181. Sat Jun 27 07:22:22 2026 5 relations: 947103
  182. Sat Jun 27 07:22:22 2026 6 relations: 871435
  183. Sat Jun 27 07:22:22 2026 7 relations: 784599
  184. Sat Jun 27 07:22:22 2026 8 relations: 683961
  185. Sat Jun 27 07:22:22 2026 9 relations: 582962
  186. Sat Jun 27 07:22:22 2026 10+ relations: 1872169
  187. Sat Jun 27 07:22:22 2026 heaviest cycle: 23 relations
  188. Sat Jun 27 07:22:48 2026 trying target density 90
  189. Sat Jun 27 07:22:53 2026 relations with 0 large ideals: 50910
  190. Sat Jun 27 07:22:53 2026 relations with 1 large ideals: 12308
  191. Sat Jun 27 07:22:53 2026 relations with 2 large ideals: 151183
  192. Sat Jun 27 07:22:53 2026 relations with 3 large ideals: 941800
  193. Sat Jun 27 07:22:53 2026 relations with 4 large ideals: 3194983
  194. Sat Jun 27 07:22:53 2026 relations with 5 large ideals: 6455433
  195. Sat Jun 27 07:22:53 2026 relations with 6 large ideals: 8086665
  196. Sat Jun 27 07:22:53 2026 relations with 7+ large ideals: 11395684
  197. Sat Jun 27 07:22:53 2026 commencing 2-way merge
  198. Sat Jun 27 07:23:17 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  199. Sat Jun 27 07:23:17 2026 commencing full merge
  200. Sat Jun 27 07:34:08 2026 memory use: 2504.8 MB
  201. Sat Jun 27 07:34:13 2026 found 9615317 cycles, need 9521770
  202. Sat Jun 27 07:34:17 2026 weight of 9521770 cycles is about 856977715 (90.00/cycle)
  203. Sat Jun 27 07:34:17 2026 distribution of cycle lengths:
  204. Sat Jun 27 07:34:17 2026 1 relations: 838234
  205. Sat Jun 27 07:34:17 2026 2 relations: 882972
  206. Sat Jun 27 07:34:17 2026 3 relations: 891504
  207. Sat Jun 27 07:34:17 2026 4 relations: 844447
  208. Sat Jun 27 07:34:17 2026 5 relations: 813540
  209. Sat Jun 27 07:34:17 2026 6 relations: 760932
  210. Sat Jun 27 07:34:17 2026 7 relations: 709197
  211. Sat Jun 27 07:34:17 2026 8 relations: 642004
  212. Sat Jun 27 07:34:17 2026 9 relations: 574674
  213. Sat Jun 27 07:34:17 2026 10+ relations: 2564266
  214. Sat Jun 27 07:34:17 2026 heaviest cycle: 27 relations
  215. Sat Jun 27 07:34:21 2026 commencing cycle optimization
  216. Sat Jun 27 07:34:54 2026 start with 66568784 relations
  217. Sat Jun 27 07:38:18 2026 pruned 2351232 relations
  218. Sat Jun 27 07:38:20 2026 memory use: 1929.9 MB
  219. Sat Jun 27 07:38:20 2026 distribution of cycle lengths:
  220. Sat Jun 27 07:38:20 2026 1 relations: 838234
  221. Sat Jun 27 07:38:20 2026 2 relations: 900597
  222. Sat Jun 27 07:38:20 2026 3 relations: 923688
  223. Sat Jun 27 07:38:20 2026 4 relations: 872364
  224. Sat Jun 27 07:38:20 2026 5 relations: 845054
  225. Sat Jun 27 07:38:20 2026 6 relations: 788284
  226. Sat Jun 27 07:38:20 2026 7 relations: 734555
  227. Sat Jun 27 07:38:20 2026 8 relations: 660701
  228. Sat Jun 27 07:38:20 2026 9 relations: 586890
  229. Sat Jun 27 07:38:20 2026 10+ relations: 2371403
  230. Sat Jun 27 07:38:20 2026 heaviest cycle: 27 relations
  231. Sat Jun 27 07:38:43 2026 trying target density 100
  232. Sat Jun 27 07:38:47 2026 relations with 0 large ideals: 50910
  233. Sat Jun 27 07:38:47 2026 relations with 1 large ideals: 12308
  234. Sat Jun 27 07:38:47 2026 relations with 2 large ideals: 151183
  235. Sat Jun 27 07:38:47 2026 relations with 3 large ideals: 941800
  236. Sat Jun 27 07:38:47 2026 relations with 4 large ideals: 3194983
  237. Sat Jun 27 07:38:47 2026 relations with 5 large ideals: 6455433
  238. Sat Jun 27 07:38:47 2026 relations with 6 large ideals: 8086665
  239. Sat Jun 27 07:38:47 2026 relations with 7+ large ideals: 11395684
  240. Sat Jun 27 07:38:47 2026 commencing 2-way merge
  241. Sat Jun 27 07:39:09 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  242. Sat Jun 27 07:39:10 2026 commencing full merge
  243. Sat Jun 27 07:50:57 2026 memory use: 2542.4 MB
  244. Sat Jun 27 07:51:01 2026 found 9268858 cycles, need 9199770
  245. Sat Jun 27 07:51:03 2026 weight of 9199770 cycles is about 920114075 (100.01/cycle)
  246. Sat Jun 27 07:51:03 2026 distribution of cycle lengths:
  247. Sat Jun 27 07:51:03 2026 1 relations: 678854
  248. Sat Jun 27 07:51:03 2026 2 relations: 748935
  249. Sat Jun 27 07:51:03 2026 3 relations: 779411
  250. Sat Jun 27 07:51:03 2026 4 relations: 749583
  251. Sat Jun 27 07:51:03 2026 5 relations: 729001
  252. Sat Jun 27 07:51:03 2026 6 relations: 695274
  253. Sat Jun 27 07:51:03 2026 7 relations: 655353
  254. Sat Jun 27 07:51:03 2026 8 relations: 608330
  255. Sat Jun 27 07:51:03 2026 9 relations: 558161
  256. Sat Jun 27 07:51:03 2026 10+ relations: 2996868
  257. Sat Jun 27 07:51:03 2026 heaviest cycle: 28 relations
  258. Sat Jun 27 07:51:06 2026 commencing cycle optimization
  259. Sat Jun 27 07:51:35 2026 start with 71483899 relations
  260. Sat Jun 27 07:55:26 2026 pruned 2821753 relations
  261. Sat Jun 27 07:55:27 2026 memory use: 1981.6 MB
  262. Sat Jun 27 07:55:27 2026 distribution of cycle lengths:
  263. Sat Jun 27 07:55:27 2026 1 relations: 678854
  264. Sat Jun 27 07:55:27 2026 2 relations: 764465
  265. Sat Jun 27 07:55:27 2026 3 relations: 808586
  266. Sat Jun 27 07:55:27 2026 4 relations: 775925
  267. Sat Jun 27 07:55:27 2026 5 relations: 760290
  268. Sat Jun 27 07:55:27 2026 6 relations: 722872
  269. Sat Jun 27 07:55:27 2026 7 relations: 683068
  270. Sat Jun 27 07:55:27 2026 8 relations: 630378
  271. Sat Jun 27 07:55:27 2026 9 relations: 575867
  272. Sat Jun 27 07:55:27 2026 10+ relations: 2799465
  273. Sat Jun 27 07:55:27 2026 heaviest cycle: 28 relations
  274. Sat Jun 27 07:55:58 2026 trying target density 110
  275. Sat Jun 27 07:56:03 2026 relations with 0 large ideals: 50910
  276. Sat Jun 27 07:56:03 2026 relations with 1 large ideals: 12308
  277. Sat Jun 27 07:56:03 2026 relations with 2 large ideals: 151183
  278. Sat Jun 27 07:56:03 2026 relations with 3 large ideals: 941800
  279. Sat Jun 27 07:56:03 2026 relations with 4 large ideals: 3194983
  280. Sat Jun 27 07:56:03 2026 relations with 5 large ideals: 6455433
  281. Sat Jun 27 07:56:03 2026 relations with 6 large ideals: 8086665
  282. Sat Jun 27 07:56:03 2026 relations with 7+ large ideals: 11395684
  283. Sat Jun 27 07:56:03 2026 commencing 2-way merge
  284. Sat Jun 27 07:56:25 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  285. Sat Jun 27 07:56:25 2026 commencing full merge
  286. Sat Jun 27 08:10:22 2026 memory use: 2570.3 MB
  287. Sat Jun 27 08:10:25 2026 found 8953635 cycles, need 8925770
  288. Sat Jun 27 08:10:28 2026 weight of 8925770 cycles is about 982190340 (110.04/cycle)
  289. Sat Jun 27 08:10:28 2026 distribution of cycle lengths:
  290. Sat Jun 27 08:10:28 2026 1 relations: 563943
  291. Sat Jun 27 08:10:28 2026 2 relations: 646043
  292. Sat Jun 27 08:10:28 2026 3 relations: 683946
  293. Sat Jun 27 08:10:28 2026 4 relations: 670919
  294. Sat Jun 27 08:10:28 2026 5 relations: 656094
  295. Sat Jun 27 08:10:28 2026 6 relations: 632611
  296. Sat Jun 27 08:10:28 2026 7 relations: 604286
  297. Sat Jun 27 08:10:28 2026 8 relations: 567711
  298. Sat Jun 27 08:10:28 2026 9 relations: 532224
  299. Sat Jun 27 08:10:28 2026 10+ relations: 3367993
  300. Sat Jun 27 08:10:28 2026 heaviest cycle: 28 relations
  301. Sat Jun 27 08:10:30 2026 commencing cycle optimization
  302. Sat Jun 27 08:10:51 2026 start with 76340962 relations
  303. Sat Jun 27 08:14:17 2026 pruned 3311669 relations
  304. Sat Jun 27 08:14:17 2026 memory use: 2031.2 MB
  305. Sat Jun 27 08:14:17 2026 distribution of cycle lengths:
  306. Sat Jun 27 08:14:17 2026 1 relations: 563943
  307. Sat Jun 27 08:14:17 2026 2 relations: 659848
  308. Sat Jun 27 08:14:17 2026 3 relations: 710211
  309. Sat Jun 27 08:14:17 2026 4 relations: 695712
  310. Sat Jun 27 08:14:17 2026 5 relations: 685876
  311. Sat Jun 27 08:14:17 2026 6 relations: 659924
  312. Sat Jun 27 08:14:17 2026 7 relations: 632178
  313. Sat Jun 27 08:14:17 2026 8 relations: 592152
  314. Sat Jun 27 08:14:17 2026 9 relations: 553155
  315. Sat Jun 27 08:14:17 2026 10+ relations: 3172771
  316. Sat Jun 27 08:14:17 2026 heaviest cycle: 28 relations
  317. Sat Jun 27 08:14:33 2026 trying target density 120
  318. Sat Jun 27 08:14:36 2026 relations with 0 large ideals: 50910
  319. Sat Jun 27 08:14:36 2026 relations with 1 large ideals: 12308
  320. Sat Jun 27 08:14:36 2026 relations with 2 large ideals: 151183
  321. Sat Jun 27 08:14:36 2026 relations with 3 large ideals: 941800
  322. Sat Jun 27 08:14:36 2026 relations with 4 large ideals: 3194983
  323. Sat Jun 27 08:14:36 2026 relations with 5 large ideals: 6455433
  324. Sat Jun 27 08:14:36 2026 relations with 6 large ideals: 8086665
  325. Sat Jun 27 08:14:36 2026 relations with 7+ large ideals: 11395684
  326. Sat Jun 27 08:14:36 2026 commencing 2-way merge
  327. Sat Jun 27 08:14:50 2026 reduce to 19655685 relation sets and 18859570 unique ideals
  328. Sat Jun 27 08:14:50 2026 commencing full merge
  329. Sat Jun 27 08:28:06 2026 memory use: 876.8 MB
  330. Sat Jun 27 08:28:06 2026 found 96629 cycles, need 4298656
  331. Sat Jun 27 08:28:06 2026 too few cycles, matrix probably cannot build
  332. Sat Jun 27 08:28:07 2026 RelProcTime: 7374
  333. Sat Jun 27 08:28:07 2026
  334. Sat Jun 27 08:28:07 2026 commencing linear algebra
  335. Sat Jun 27 08:28:07 2026 using VBITS=64
  336. Sat Jun 27 08:28:07 2026 building matrices for all densities
  337. Sat Jun 27 08:28:07 2026 found 5 density files
  338. Sat Jun 27 08:28:07 2026 building matrix for density 70
  339. Sat Jun 27 08:28:08 2026 read 10397770 cycles
  340. Sat Jun 27 08:28:21 2026 cycles contain 29743404 unique relations
  341. Sat Jun 27 08:29:43 2026 read 29743404 relations
  342. Sat Jun 27 08:29:51 2026 using 20 quadratic characters above 4294917295
  343. Sat Jun 27 08:30:04 2026 building initial matrix
  344. Sat Jun 27 08:34:15 2026 memory use: 3705.1 MB
  345. Sat Jun 27 08:34:17 2026 read 10397770 cycles
  346. Sat Jun 27 08:34:18 2026 matrix is 10397588 x 10397770 (3081.5 MB) with weight 882546035 (84.88/col)
  347. Sat Jun 27 08:34:18 2026 sparse part has weight 703808894 (67.69/col)
  348. Sat Jun 27 08:35:28 2026 filtering completed in 2 passes
  349. Sat Jun 27 08:35:30 2026 matrix is 10393111 x 10393293 (3081.1 MB) with weight 882431491 (84.90/col)
  350. Sat Jun 27 08:35:30 2026 sparse part has weight 703769270 (67.71/col)
  351. Sat Jun 27 08:35:51 2026 building matrix for density 80
  352. Sat Jun 27 08:35:53 2026 read 9913770 cycles
  353. Sat Jun 27 08:36:07 2026 cycles contain 29751438 unique relations
  354. Sat Jun 27 08:36:35 2026 read 29751438 relations
  355. Sat Jun 27 08:36:43 2026 using 20 quadratic characters above 4294917295
  356. Sat Jun 27 08:36:56 2026 building initial matrix
  357. Sat Jun 27 08:41:27 2026 memory use: 3553.1 MB
  358. Sat Jun 27 08:41:29 2026 read 9913770 cycles
  359. Sat Jun 27 08:41:31 2026 matrix is 9913592 x 9913770 (3280.1 MB) with weight 936483994 (94.46/col)
  360. Sat Jun 27 08:41:31 2026 sparse part has weight 760719636 (76.73/col)
  361. Sat Jun 27 08:42:45 2026 filtering completed in 2 passes
  362. Sat Jun 27 08:42:47 2026 matrix is 9910723 x 9910901 (3279.9 MB) with weight 936400951 (94.48/col)
  363. Sat Jun 27 08:42:47 2026 sparse part has weight 760686357 (76.75/col)
  364. Sat Jun 27 08:43:07 2026 building matrix for density 90
  365. Sat Jun 27 08:43:09 2026 read 9521770 cycles
  366. Sat Jun 27 08:43:22 2026 cycles contain 29757830 unique relations
  367. Sat Jun 27 08:43:54 2026 read 29757830 relations
  368. Sat Jun 27 08:44:00 2026 using 20 quadratic characters above 4294917295
  369. Sat Jun 27 08:44:13 2026 building initial matrix
  370. Sat Jun 27 08:49:01 2026 memory use: 3559.1 MB
  371. Sat Jun 27 08:49:04 2026 read 9521770 cycles
  372. Sat Jun 27 08:49:05 2026 matrix is 9521590 x 9521770 (3474.0 MB) with weight 988873730 (103.85/col)
  373. Sat Jun 27 08:49:05 2026 sparse part has weight 815467004 (85.64/col)
  374. Sat Jun 27 08:50:19 2026 filtering completed in 2 passes
  375. Sat Jun 27 08:50:21 2026 matrix is 9519802 x 9519982 (3473.8 MB) with weight 988816967 (103.87/col)
  376. Sat Jun 27 08:50:21 2026 sparse part has weight 815442933 (85.66/col)
  377. Sat Jun 27 08:50:38 2026 building matrix for density 100
  378. Sat Jun 27 08:50:40 2026 read 9199770 cycles
  379. Sat Jun 27 08:50:53 2026 cycles contain 29760805 unique relations
  380. Sat Jun 27 08:51:20 2026 read 29760805 relations
  381. Sat Jun 27 08:51:26 2026 using 20 quadratic characters above 4294917295
  382. Sat Jun 27 08:51:38 2026 building initial matrix
  383. Sat Jun 27 08:56:43 2026 memory use: 3566.5 MB
  384. Sat Jun 27 08:56:46 2026 read 9199770 cycles
  385. Sat Jun 27 08:56:47 2026 matrix is 9199592 x 9199770 (3667.1 MB) with weight 1040965551 (113.15/col)
  386. Sat Jun 27 08:56:47 2026 sparse part has weight 869311025 (94.49/col)
  387. Sat Jun 27 08:57:51 2026 filtering completed in 2 passes
  388. Sat Jun 27 08:57:53 2026 matrix is 9198577 x 9198755 (3667.0 MB) with weight 1040931372 (113.16/col)
  389. Sat Jun 27 08:57:53 2026 sparse part has weight 869296349 (94.50/col)
  390. Sat Jun 27 08:58:13 2026 building matrix for density 110
  391. Sat Jun 27 08:58:16 2026 read 8925770 cycles
  392. Sat Jun 27 08:58:29 2026 cycles contain 29761437 unique relations
  393. Sat Jun 27 08:58:56 2026 read 29761437 relations
  394. Sat Jun 27 08:59:06 2026 using 20 quadratic characters above 4294917295
  395. Sat Jun 27 08:59:19 2026 building initial matrix
  396. Sat Jun 27 09:04:36 2026 memory use: 3574.9 MB
  397. Sat Jun 27 09:04:40 2026 read 8925770 cycles
  398. Sat Jun 27 09:04:41 2026 matrix is 8925593 x 8925770 (3856.1 MB) with weight 1091796959 (122.32/col)
  399. Sat Jun 27 09:04:41 2026 sparse part has weight 921584609 (103.25/col)
  400. Sat Jun 27 09:05:48 2026 filtering completed in 2 passes
  401. Sat Jun 27 09:05:49 2026 matrix is 8925239 x 8925416 (3856.0 MB) with weight 1091785589 (122.32/col)
  402. Sat Jun 27 09:05:49 2026 sparse part has weight 921580194 (103.25/col)
  403. Sat Jun 27 09:06:14 2026 BLanczosTime: 2287
  404. Sat Jun 27 09:06:14 2026 elapsed time 02:41:02
  405. Sat Jun 27 10:00:18 2026
  406. Sat Jun 27 10:00:18 2026
  407. Sat Jun 27 10:00:18 2026 Msieve v. 1.54 (SVN unknown)
  408. Sat Jun 27 10:00:18 2026 random seeds: f71bf08a e6544b3f
  409. Sat Jun 27 10:00:18 2026 Using 8 OpenMP threads
  410. Sat Jun 27 10:00:18 2026 factoring 10835606311534585826835113011949321754585817354622182572841690709448779152557046744417153653515697793395053380031103214968987577449319046274849560374137325388585698076022741463611509 (182 digits)
  411. Sat Jun 27 10:00:18 2026 no P-1/P+1/ECM available, skipping
  412. Sat Jun 27 10:00:18 2026 commencing number field sieve (182-digit input)
  413. Sat Jun 27 10:00:18 2026 R0: 9712389840933546593165482124231110126562
  414. Sat Jun 27 10:00:18 2026 R1: -98551457832614260081
  415. Sat Jun 27 10:00:18 2026 A0: -1
  416. Sat Jun 27 10:00:18 2026 A1: 3
  417. Sat Jun 27 10:00:18 2026 A2: 6
  418. Sat Jun 27 10:00:18 2026 A3: -4
  419. Sat Jun 27 10:00:18 2026 A4: -5
  420. Sat Jun 27 10:00:18 2026 A5: 1
  421. Sat Jun 27 10:00:18 2026 A6: 1
  422. Sat Jun 27 10:00:18 2026 skew 1.37, size 8.468e-12, alpha 3.126, combined = 5.557e-13 rroots = 6
  423. Sat Jun 27 10:00:18 2026
  424. Sat Jun 27 10:00:18 2026 commencing linear algebra
  425. Sat Jun 27 10:00:18 2026 using VBITS=256
  426. Sat Jun 27 10:00:18 2026 selecting density 110 for linear algebra
  427. Sat Jun 27 10:00:20 2026 matrix starts at (0, 0)
  428. Sat Jun 27 10:00:21 2026 matrix is 8925239 x 8925416 (3856.0 MB) with weight 1091785589 (122.32/col)
  429. Sat Jun 27 10:00:21 2026 sparse part has weight 921580194 (103.25/col)
  430. Sat Jun 27 10:00:21 2026 saving the first 240 matrix rows for later
  431. Sat Jun 27 10:00:22 2026 matrix includes 256 packed rows
  432. Sat Jun 27 10:00:24 2026 matrix is 8924999 x 8925416 (3573.4 MB) with weight 836607156 (93.73/col)
  433. Sat Jun 27 10:00:24 2026 sparse part has weight 793940996 (88.95/col)
  434. Sat Jun 27 10:00:24 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  435. Sat Jun 27 10:00:24 2026 selected card has CUDA arch 12.0
  436. Sat Jun 27 10:00:25 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 89.0)
  437. Sat Jun 27 10:00:25 2026 nonzeros per matrix block: 128000000
  438. Sat Jun 27 10:01:12 2026 commencing Lanczos iteration
  439. Sat Jun 27 10:01:12 2026 memory use: 8713.0 MB
  440. Sat Jun 27 10:01:33 2026 linear algebra at 0.3%, ETA 1h41m
  441. Sat Jun 27 10:02:03 2026 checking every 90000 dimensions, checkpointing every 5490000 dimensions
  442. Sat Jun 27 11:38:23 2026 lanczos halted after 34969 iterations (dim = 8924996)
  443. Sat Jun 27 11:39:12 2026 recovered 35 nontrivial dependencies
  444. Sat Jun 27 11:39:14 2026 BLanczosTime: 5936
  445. Sat Jun 27 11:39:14 2026
  446. Sat Jun 27 11:39:14 2026 commencing square root phase
  447. Sat Jun 27 11:39:14 2026 handling dependencies 1 to 64
  448. Sat Jun 27 11:39:14 2026 reading relations for dependency 1
  449. Sat Jun 27 11:39:49 2026 read 4464113 cycles
  450. Sat Jun 27 11:40:02 2026 cycles contain 14886018 unique relations
  451. Sat Jun 27 11:44:03 2026 read 14886018 relations
  452. Sat Jun 27 11:45:31 2026 multiplying 14886018 relations
  453. Sat Jun 27 11:47:01 2026 multiply complete, coefficients have about 366.19 million bits
  454. Sat Jun 27 11:47:03 2026 initial square root is modulo 3720169
  455. Sat Jun 27 11:50:32 2026 GCD is N, no factor found
  456. Sat Jun 27 11:50:32 2026 reading relations for dependency 2
  457. Sat Jun 27 11:50:36 2026 read 4463991 cycles
  458. Sat Jun 27 11:50:48 2026 cycles contain 14880612 unique relations
  459. Sat Jun 27 11:52:08 2026 read 14880612 relations
  460. Sat Jun 27 11:53:37 2026 multiplying 14880612 relations
  461. Sat Jun 27 11:55:07 2026 multiply complete, coefficients have about 366.06 million bits
  462. Sat Jun 27 11:55:09 2026 initial square root is modulo 3700903
  463. Sat Jun 27 11:58:29 2026 sqrtTime: 1155
  464. Sat Jun 27 11:58:29 2026 p91 factor: 1446037881648849367038779352394658132040350171715928463972737234526615381872681461634487497
  465. Sat Jun 27 11:58:29 2026 p91 factor: 7493307367009812161845969027529163199027924569114021757778521525626406799063227063202641997
  466. Sat Jun 27 11:58:29 2026 elapsed time 01:58:11
  467.  
Tags: math
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