kyleaskine

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Aug 10th, 2026
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  1. Mon Aug 10 09:16:00 2026
  2. Mon Aug 10 09:16:00 2026
  3. Mon Aug 10 09:16:00 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 10 09:16:00 2026 random seeds: b52b27a5 7d38aed6
  5. Mon Aug 10 09:16:00 2026 Using 8 OpenMP threads
  6. Mon Aug 10 09:16:00 2026 factoring 1877694857973607001252640795702777962716439125545019536139497490199207626977544001703996293593109407279381009471211992881575750357946263642225425698250891977169032663383047034473 (178 digits)
  7. Mon Aug 10 09:16:00 2026 no P-1/P+1/ECM available, skipping
  8. Mon Aug 10 09:16:00 2026 commencing number field sieve (178-digit input)
  9. Mon Aug 10 09:16:00 2026 R0: -25735745486908823668250058669524436
  10. Mon Aug 10 09:16:00 2026 R1: 9679497659699831955907
  11. Mon Aug 10 09:16:00 2026 A0: 8844540496414580795164607958042649803972565
  12. Mon Aug 10 09:16:00 2026 A1: 1210930385759103266820341921912782688
  13. Mon Aug 10 09:16:00 2026 A2: -12193698069379098053204996971
  14. Mon Aug 10 09:16:00 2026 A3: -2664594293529812442110
  15. Mon Aug 10 09:16:00 2026 A4: -22979670224952
  16. Mon Aug 10 09:16:00 2026 A5: 1164240
  17. Mon Aug 10 09:16:00 2026 skew 31336580.93, size 3.421e-17, alpha -8.623, combined = 1.551e-13 rroots = 3
  18. Mon Aug 10 09:16:00 2026
  19. Mon Aug 10 09:16:00 2026 commencing relation filtering
  20. Mon Aug 10 09:16:00 2026 setting 3 target densities:Mon Aug 10 09:16:00 2026 90Mon Aug 10 09:16:00 2026 110Mon Aug 10 09:16:00 2026 130Mon Aug 10 09:16:00 2026
  21. Mon Aug 10 09:16:00 2026 estimated available RAM is 78540.1 MB
  22. Mon Aug 10 09:16:00 2026 commencing duplicate removal, pass 1
  23. Mon Aug 10 09:16:59 2026 error -1 reading relation 62422727
  24. Mon Aug 10 09:17:54 2026 error -1 reading relation 123529913
  25. Mon Aug 10 09:17:58 2026 error -1 reading relation 127424849
  26. Mon Aug 10 09:18:06 2026 error -1 reading relation 135887128
  27. Mon Aug 10 09:18:06 2026 error -1 reading relation 136373713
  28. Mon Aug 10 09:18:16 2026 error -1 reading relation 146584522
  29. Mon Aug 10 09:18:18 2026 error -1 reading relation 149116524
  30. Mon Aug 10 09:18:20 2026 error -15 reading relation 152337444
  31. Mon Aug 10 09:18:38 2026 error -1 reading relation 169265946
  32. Mon Aug 10 09:19:56 2026 error -1 reading relation 248057064
  33. Mon Aug 10 09:19:59 2026 error -1 reading relation 250619733
  34. Mon Aug 10 09:20:11 2026 error -1 reading relation 263405496
  35. Mon Aug 10 09:20:22 2026 error -1 reading relation 275060775
  36. Mon Aug 10 09:20:23 2026 error -1 reading relation 277189782
  37. Mon Aug 10 09:20:36 2026 error -1 reading relation 289515144
  38. Mon Aug 10 09:20:50 2026 error -1 reading relation 304015090
  39. Mon Aug 10 09:20:50 2026 error -1 reading relation 304026949
  40. Mon Aug 10 09:21:02 2026 error -1 reading relation 317270344
  41. Mon Aug 10 09:21:04 2026 error -1 reading relation 319289490
  42. Mon Aug 10 09:21:04 2026 error -1 reading relation 319339600
  43. Mon Aug 10 09:21:10 2026 error -1 reading relation 325638618
  44. Mon Aug 10 09:21:10 2026 error -1 reading relation 325789927
  45. Mon Aug 10 09:21:16 2026 skipped 2 relations with composite factors
  46. Mon Aug 10 09:21:16 2026 skipped 156 malformed relations
  47. Mon Aug 10 09:21:16 2026 found 64023772 hash collisions in 331762655 relations
  48. Mon Aug 10 09:21:28 2026 added 122341 free relations
  49. Mon Aug 10 09:21:28 2026 commencing duplicate removal, pass 2
  50. Mon Aug 10 09:23:41 2026 found 66087355 duplicates and 265797641 unique relations
  51. Mon Aug 10 09:23:41 2026 memory use: 1705.5 MB
  52. Mon Aug 10 09:23:41 2026 reading ideals above 720000
  53. Mon Aug 10 09:23:41 2026 commencing singleton removal, initial pass
  54. Mon Aug 10 09:35:03 2026 memory use: 6024.0 MB
  55. Mon Aug 10 09:35:03 2026 reading all ideals from disk
  56. Mon Aug 10 09:36:39 2026 memory use: 12748.6 MB
  57. Mon Aug 10 09:37:11 2026 keeping 243164088 ideals with weight <= 200, target excess is 1388111
  58. Mon Aug 10 09:37:33 2026 commencing in-memory singleton removal
  59. Mon Aug 10 09:37:35 2026 begin with 265797641 relations and 243164088 unique ideals
  60. Mon Aug 10 09:37:57 2026 reduce to 165923162 relations and 132937988 ideals in 13 passes
  61. Mon Aug 10 09:37:57 2026 max relations containing the same ideal: 154
  62. Mon Aug 10 09:38:39 2026 removing 11337697 relations and 9337697 ideals in 2000000 cliques
  63. Mon Aug 10 09:38:42 2026 commencing in-memory singleton removal
  64. Mon Aug 10 09:38:44 2026 begin with 154585465 relations and 132937988 unique ideals
  65. Mon Aug 10 09:38:53 2026 reduce to 154010198 relations and 123016290 ideals in 8 passes
  66. Mon Aug 10 09:38:53 2026 max relations containing the same ideal: 149
  67. Mon Aug 10 09:39:29 2026 removing 8670227 relations and 6670227 ideals in 2000000 cliques
  68. Mon Aug 10 09:39:32 2026 commencing in-memory singleton removal
  69. Mon Aug 10 09:39:34 2026 begin with 145339971 relations and 123016290 unique ideals
  70. Mon Aug 10 09:39:41 2026 reduce to 144953459 relations and 115954334 ideals in 7 passes
  71. Mon Aug 10 09:39:41 2026 max relations containing the same ideal: 146
  72. Mon Aug 10 09:40:15 2026 removing 7860716 relations and 5860716 ideals in 2000000 cliques
  73. Mon Aug 10 09:40:17 2026 commencing in-memory singleton removal
  74. Mon Aug 10 09:40:19 2026 begin with 137092743 relations and 115954334 unique ideals
  75. Mon Aug 10 09:40:26 2026 reduce to 136751418 relations and 109747758 ideals in 7 passes
  76. Mon Aug 10 09:40:26 2026 max relations containing the same ideal: 139
  77. Mon Aug 10 09:40:58 2026 removing 7442038 relations and 5442038 ideals in 2000000 cliques
  78. Mon Aug 10 09:41:00 2026 commencing in-memory singleton removal
  79. Mon Aug 10 09:41:02 2026 begin with 129309380 relations and 109747758 unique ideals
  80. Mon Aug 10 09:41:09 2026 reduce to 128986651 relations and 103978572 ideals in 7 passes
  81. Mon Aug 10 09:41:09 2026 max relations containing the same ideal: 133
  82. Mon Aug 10 09:41:40 2026 removing 7180721 relations and 5180721 ideals in 2000000 cliques
  83. Mon Aug 10 09:41:42 2026 commencing in-memory singleton removal
  84. Mon Aug 10 09:41:42 2026 begin with 121805930 relations and 103978572 unique ideals
  85. Mon Aug 10 09:41:49 2026 reduce to 121491255 relations and 98478653 ideals in 8 passes
  86. Mon Aug 10 09:41:49 2026 max relations containing the same ideal: 127
  87. Mon Aug 10 09:42:19 2026 removing 7012308 relations and 5012308 ideals in 2000000 cliques
  88. Mon Aug 10 09:42:21 2026 commencing in-memory singleton removal
  89. Mon Aug 10 09:42:22 2026 begin with 114478947 relations and 98478653 unique ideals
  90. Mon Aug 10 09:42:28 2026 reduce to 114161444 relations and 93144086 ideals in 7 passes
  91. Mon Aug 10 09:42:28 2026 max relations containing the same ideal: 124
  92. Mon Aug 10 09:42:56 2026 removing 6895913 relations and 4895913 ideals in 2000000 cliques
  93. Mon Aug 10 09:42:58 2026 commencing in-memory singleton removal
  94. Mon Aug 10 09:42:59 2026 begin with 107265531 relations and 93144086 unique ideals
  95. Mon Aug 10 09:43:05 2026 reduce to 106942710 relations and 87920159 ideals in 7 passes
  96. Mon Aug 10 09:43:05 2026 max relations containing the same ideal: 119
  97. Mon Aug 10 09:43:32 2026 removing 6818653 relations and 4818653 ideals in 2000000 cliques
  98. Mon Aug 10 09:43:34 2026 commencing in-memory singleton removal
  99. Mon Aug 10 09:43:35 2026 begin with 100124057 relations and 87920159 unique ideals
  100. Mon Aug 10 09:43:40 2026 reduce to 99789454 relations and 82761190 ideals in 7 passes
  101. Mon Aug 10 09:43:40 2026 max relations containing the same ideal: 112
  102. Mon Aug 10 09:44:05 2026 removing 6784501 relations and 4784501 ideals in 2000000 cliques
  103. Mon Aug 10 09:44:07 2026 commencing in-memory singleton removal
  104. Mon Aug 10 09:44:08 2026 begin with 93004953 relations and 82761190 unique ideals
  105. Mon Aug 10 09:44:13 2026 reduce to 92652036 relations and 77617586 ideals in 7 passes
  106. Mon Aug 10 09:44:13 2026 max relations containing the same ideal: 110
  107. Mon Aug 10 09:44:37 2026 removing 6767171 relations and 4767171 ideals in 2000000 cliques
  108. Mon Aug 10 09:44:39 2026 commencing in-memory singleton removal
  109. Mon Aug 10 09:44:40 2026 begin with 85884865 relations and 77617586 unique ideals
  110. Mon Aug 10 09:44:45 2026 reduce to 85508459 relations and 72466795 ideals in 7 passes
  111. Mon Aug 10 09:44:45 2026 max relations containing the same ideal: 102
  112. Mon Aug 10 09:45:07 2026 removing 6772382 relations and 4772382 ideals in 2000000 cliques
  113. Mon Aug 10 09:45:09 2026 commencing in-memory singleton removal
  114. Mon Aug 10 09:45:09 2026 begin with 78736077 relations and 72466795 unique ideals
  115. Mon Aug 10 09:45:14 2026 reduce to 78328103 relations and 67278197 ideals in 8 passes
  116. Mon Aug 10 09:45:14 2026 max relations containing the same ideal: 97
  117. Mon Aug 10 09:45:35 2026 removing 6817778 relations and 4817778 ideals in 2000000 cliques
  118. Mon Aug 10 09:45:37 2026 commencing in-memory singleton removal
  119. Mon Aug 10 09:45:37 2026 begin with 71510325 relations and 67278197 unique ideals
  120. Mon Aug 10 09:45:42 2026 reduce to 71057789 relations and 61997941 ideals in 8 passes
  121. Mon Aug 10 09:45:42 2026 max relations containing the same ideal: 92
  122. Mon Aug 10 09:46:01 2026 removing 6879362 relations and 4879362 ideals in 2000000 cliques
  123. Mon Aug 10 09:46:02 2026 commencing in-memory singleton removal
  124. Mon Aug 10 09:46:03 2026 begin with 64178427 relations and 61997941 unique ideals
  125. Mon Aug 10 09:46:06 2026 reduce to 63668309 relations and 56596105 ideals in 7 passes
  126. Mon Aug 10 09:46:06 2026 max relations containing the same ideal: 86
  127. Mon Aug 10 09:46:23 2026 removing 6982142 relations and 4982142 ideals in 2000000 cliques
  128. Mon Aug 10 09:46:24 2026 commencing in-memory singleton removal
  129. Mon Aug 10 09:46:25 2026 begin with 56686167 relations and 56596105 unique ideals
  130. Mon Aug 10 09:46:28 2026 reduce to 56091005 relations and 51002862 ideals in 8 passes
  131. Mon Aug 10 09:46:28 2026 max relations containing the same ideal: 76
  132. Mon Aug 10 09:46:45 2026 removing 7132745 relations and 5132745 ideals in 2000000 cliques
  133. Mon Aug 10 09:46:46 2026 commencing in-memory singleton removal
  134. Mon Aug 10 09:46:47 2026 begin with 48958260 relations and 51002862 unique ideals
  135. Mon Aug 10 09:46:50 2026 reduce to 48241464 relations and 45131931 ideals in 9 passes
  136. Mon Aug 10 09:46:50 2026 max relations containing the same ideal: 69
  137. Mon Aug 10 09:47:05 2026 removing 5841299 relations and 4341975 ideals in 1499324 cliques
  138. Mon Aug 10 09:47:06 2026 commencing in-memory singleton removal
  139. Mon Aug 10 09:47:07 2026 begin with 42400165 relations and 45131931 unique ideals
  140. Mon Aug 10 09:47:09 2026 reduce to 41838457 relations and 40213113 ideals in 8 passes
  141. Mon Aug 10 09:47:09 2026 max relations containing the same ideal: 62
  142. Mon Aug 10 09:47:23 2026 removing 127200 relations and 112065 ideals in 15135 cliques
  143. Mon Aug 10 09:47:24 2026 commencing in-memory singleton removal
  144. Mon Aug 10 09:47:24 2026 begin with 41711257 relations and 40213113 unique ideals
  145. Mon Aug 10 09:47:26 2026 reduce to 41711031 relations and 40100822 ideals in 5 passes
  146. Mon Aug 10 09:47:26 2026 max relations containing the same ideal: 62
  147. Mon Aug 10 09:47:25 2026 trying target density 90
  148. Mon Aug 10 09:47:28 2026 relations with 0 large ideals: 5222
  149. Mon Aug 10 09:47:28 2026 relations with 1 large ideals: 35140
  150. Mon Aug 10 09:47:28 2026 relations with 2 large ideals: 455514
  151. Mon Aug 10 09:47:28 2026 relations with 3 large ideals: 2423198
  152. Mon Aug 10 09:47:28 2026 relations with 4 large ideals: 6785886
  153. Mon Aug 10 09:47:28 2026 relations with 5 large ideals: 11061183
  154. Mon Aug 10 09:47:28 2026 relations with 6 large ideals: 11028147
  155. Mon Aug 10 09:47:28 2026 relations with 7+ large ideals: 9916741
  156. Mon Aug 10 09:47:28 2026 commencing 2-way merge
  157. Mon Aug 10 09:47:48 2026 reduce to 25721471 relation sets and 24111262 unique ideals
  158. Mon Aug 10 09:47:48 2026 commencing full merge
  159. Mon Aug 10 09:52:41 2026 memory use: 2867.6 MB
  160. Mon Aug 10 09:52:44 2026 found 12675983 cycles, need 12459462
  161. Mon Aug 10 09:52:47 2026 weight of 12459462 cycles is about 1121425200 (90.01/cycle)
  162. Mon Aug 10 09:52:47 2026 distribution of cycle lengths:
  163. Mon Aug 10 09:52:47 2026 1 relations: 1239133
  164. Mon Aug 10 09:52:47 2026 2 relations: 1135176
  165. Mon Aug 10 09:52:47 2026 3 relations: 1184874
  166. Mon Aug 10 09:52:47 2026 4 relations: 1167127
  167. Mon Aug 10 09:52:47 2026 5 relations: 1157689
  168. Mon Aug 10 09:52:47 2026 6 relations: 1114906
  169. Mon Aug 10 09:52:47 2026 7 relations: 1031500
  170. Mon Aug 10 09:52:47 2026 8 relations: 917965
  171. Mon Aug 10 09:52:47 2026 9 relations: 796433
  172. Mon Aug 10 09:52:47 2026 10+ relations: 2714659
  173. Mon Aug 10 09:52:47 2026 heaviest cycle: 20 relations
  174. Mon Aug 10 09:52:50 2026 commencing cycle optimization
  175. Mon Aug 10 09:53:07 2026 start with 79501883 relations
  176. Mon Aug 10 09:54:38 2026 pruned 2469154 relations
  177. Mon Aug 10 09:54:39 2026 memory use: 2504.8 MB
  178. Mon Aug 10 09:54:40 2026 distribution of cycle lengths:
  179. Mon Aug 10 09:54:40 2026 1 relations: 1239133
  180. Mon Aug 10 09:54:40 2026 2 relations: 1163502
  181. Mon Aug 10 09:54:40 2026 3 relations: 1229701
  182. Mon Aug 10 09:54:40 2026 4 relations: 1205861
  183. Mon Aug 10 09:54:40 2026 5 relations: 1202875
  184. Mon Aug 10 09:54:40 2026 6 relations: 1151621
  185. Mon Aug 10 09:54:40 2026 7 relations: 1063479
  186. Mon Aug 10 09:54:40 2026 8 relations: 937099
  187. Mon Aug 10 09:54:40 2026 9 relations: 803074
  188. Mon Aug 10 09:54:40 2026 10+ relations: 2463117
  189. Mon Aug 10 09:54:40 2026 heaviest cycle: 20 relations
  190. Mon Aug 10 09:54:56 2026 trying target density 110
  191. Mon Aug 10 09:54:59 2026 relations with 0 large ideals: 5222
  192. Mon Aug 10 09:54:59 2026 relations with 1 large ideals: 35140
  193. Mon Aug 10 09:54:59 2026 relations with 2 large ideals: 455514
  194. Mon Aug 10 09:54:59 2026 relations with 3 large ideals: 2423198
  195. Mon Aug 10 09:54:59 2026 relations with 4 large ideals: 6785886
  196. Mon Aug 10 09:54:59 2026 relations with 5 large ideals: 11061183
  197. Mon Aug 10 09:54:59 2026 relations with 6 large ideals: 11028147
  198. Mon Aug 10 09:54:59 2026 relations with 7+ large ideals: 9916741
  199. Mon Aug 10 09:54:59 2026 commencing 2-way merge
  200. Mon Aug 10 09:55:15 2026 reduce to 25721471 relation sets and 24111262 unique ideals
  201. Mon Aug 10 09:55:15 2026 commencing full merge
  202. Mon Aug 10 10:01:12 2026 memory use: 2944.6 MB
  203. Mon Aug 10 10:01:14 2026 found 11823835 cycles, need 11641462
  204. Mon Aug 10 10:01:17 2026 weight of 11641462 cycles is about 1281078630 (110.04/cycle)
  205. Mon Aug 10 10:01:17 2026 distribution of cycle lengths:
  206. Mon Aug 10 10:01:17 2026 1 relations: 885066
  207. Mon Aug 10 10:01:17 2026 2 relations: 855792
  208. Mon Aug 10 10:01:17 2026 3 relations: 890648
  209. Mon Aug 10 10:01:17 2026 4 relations: 894948
  210. Mon Aug 10 10:01:17 2026 5 relations: 903914
  211. Mon Aug 10 10:01:17 2026 6 relations: 899386
  212. Mon Aug 10 10:01:17 2026 7 relations: 863862
  213. Mon Aug 10 10:01:17 2026 8 relations: 823734
  214. Mon Aug 10 10:01:17 2026 9 relations: 759702
  215. Mon Aug 10 10:01:17 2026 10+ relations: 3864410
  216. Mon Aug 10 10:01:17 2026 heaviest cycle: 25 relations
  217. Mon Aug 10 10:01:19 2026 commencing cycle optimization
  218. Mon Aug 10 10:01:35 2026 start with 90490540 relations
  219. Mon Aug 10 10:03:36 2026 pruned 3517762 relations
  220. Mon Aug 10 10:03:36 2026 memory use: 2618.1 MB
  221. Mon Aug 10 10:03:36 2026 distribution of cycle lengths:
  222. Mon Aug 10 10:03:36 2026 1 relations: 885066
  223. Mon Aug 10 10:03:36 2026 2 relations: 877775
  224. Mon Aug 10 10:03:36 2026 3 relations: 926774
  225. Mon Aug 10 10:03:36 2026 4 relations: 928361
  226. Mon Aug 10 10:03:36 2026 5 relations: 945156
  227. Mon Aug 10 10:03:36 2026 6 relations: 938342
  228. Mon Aug 10 10:03:36 2026 7 relations: 903747
  229. Mon Aug 10 10:03:36 2026 8 relations: 856063
  230. Mon Aug 10 10:03:36 2026 9 relations: 786549
  231. Mon Aug 10 10:03:36 2026 10+ relations: 3593629
  232. Mon Aug 10 10:03:36 2026 heaviest cycle: 25 relations
  233. Mon Aug 10 10:03:54 2026 trying target density 130
  234. Mon Aug 10 10:03:57 2026 relations with 0 large ideals: 5222
  235. Mon Aug 10 10:03:57 2026 relations with 1 large ideals: 35140
  236. Mon Aug 10 10:03:57 2026 relations with 2 large ideals: 455514
  237. Mon Aug 10 10:03:57 2026 relations with 3 large ideals: 2423198
  238. Mon Aug 10 10:03:57 2026 relations with 4 large ideals: 6785886
  239. Mon Aug 10 10:03:57 2026 relations with 5 large ideals: 11061183
  240. Mon Aug 10 10:03:57 2026 relations with 6 large ideals: 11028147
  241. Mon Aug 10 10:03:57 2026 relations with 7+ large ideals: 9916741
  242. Mon Aug 10 10:03:57 2026 commencing 2-way merge
  243. Mon Aug 10 10:04:19 2026 reduce to 25721471 relation sets and 24111262 unique ideals
  244. Mon Aug 10 10:04:19 2026 commencing full merge
  245. Mon Aug 10 10:10:47 2026 memory use: 2988.6 MB
  246. Mon Aug 10 10:10:48 2026 found 11137675 cycles, need 11049462
  247. Mon Aug 10 10:10:51 2026 weight of 11049462 cycles is about 1436726674 (130.03/cycle)
  248. Mon Aug 10 10:10:51 2026 distribution of cycle lengths:
  249. Mon Aug 10 10:10:51 2026 1 relations: 646622
  250. Mon Aug 10 10:10:51 2026 2 relations: 673052
  251. Mon Aug 10 10:10:51 2026 3 relations: 711037
  252. Mon Aug 10 10:10:51 2026 4 relations: 717866
  253. Mon Aug 10 10:10:51 2026 5 relations: 735060
  254. Mon Aug 10 10:10:51 2026 6 relations: 736356
  255. Mon Aug 10 10:10:51 2026 7 relations: 735104
  256. Mon Aug 10 10:10:51 2026 8 relations: 714792
  257. Mon Aug 10 10:10:51 2026 9 relations: 681358
  258. Mon Aug 10 10:10:51 2026 10+ relations: 4698215
  259. Mon Aug 10 10:10:51 2026 heaviest cycle: 28 relations
  260. Mon Aug 10 10:10:52 2026 commencing cycle optimization
  261. Mon Aug 10 10:11:11 2026 start with 101076512 relations
  262. Mon Aug 10 10:13:52 2026 pruned 4612884 relations
  263. Mon Aug 10 10:13:52 2026 memory use: 2725.3 MB
  264. Mon Aug 10 10:13:52 2026 distribution of cycle lengths:
  265. Mon Aug 10 10:13:52 2026 1 relations: 646622
  266. Mon Aug 10 10:13:52 2026 2 relations: 690526
  267. Mon Aug 10 10:13:52 2026 3 relations: 740401
  268. Mon Aug 10 10:13:52 2026 4 relations: 746973
  269. Mon Aug 10 10:13:52 2026 5 relations: 771362
  270. Mon Aug 10 10:13:52 2026 6 relations: 772520
  271. Mon Aug 10 10:13:52 2026 7 relations: 775088
  272. Mon Aug 10 10:13:52 2026 8 relations: 750936
  273. Mon Aug 10 10:13:52 2026 9 relations: 716141
  274. Mon Aug 10 10:13:52 2026 10+ relations: 4438893
  275. Mon Aug 10 10:13:52 2026 heaviest cycle: 28 relations
  276. Mon Aug 10 10:14:07 2026 RelProcTime: 3487
  277. Mon Aug 10 10:14:07 2026
  278. Mon Aug 10 10:14:07 2026 commencing linear algebra
  279. Mon Aug 10 10:14:07 2026 using VBITS=256
  280. Mon Aug 10 10:14:07 2026 building matrices for all densities
  281. Mon Aug 10 10:14:07 2026 found 3 density files
  282. Mon Aug 10 10:14:07 2026 building matrix for density 90
  283. Mon Aug 10 10:14:08 2026 read 12459462 cycles
  284. Mon Aug 10 10:14:22 2026 cycles contain 40700847 unique relations
  285. Mon Aug 10 10:21:21 2026 read 40700847 relations
  286. Mon Aug 10 10:21:30 2026 using 20 quadratic characters above 4294917295
  287. Mon Aug 10 10:21:43 2026 building initial matrix
  288. Mon Aug 10 10:26:38 2026 memory use: 5674.5 MB
  289. Mon Aug 10 10:26:42 2026 read 12459462 cycles
  290. Mon Aug 10 10:26:43 2026 matrix is 12459279 x 12459462 (4648.0 MB) with weight 1449755287 (116.36/col)
  291. Mon Aug 10 10:26:43 2026 sparse part has weight 1068940749 (85.79/col)
  292. Mon Aug 10 10:28:06 2026 filtering completed in 2 passes
  293. Mon Aug 10 10:28:08 2026 matrix is 12454998 x 12455179 (4647.6 MB) with weight 1449563290 (116.38/col)
  294. Mon Aug 10 10:28:08 2026 sparse part has weight 1068880480 (85.82/col)
  295. Mon Aug 10 10:28:24 2026 building matrix for density 110
  296. Mon Aug 10 10:28:24 2026 read 11641462 cycles
  297. Mon Aug 10 10:28:37 2026 cycles contain 40715869 unique relations
  298. Mon Aug 10 10:29:42 2026 read 40715869 relations
  299. Mon Aug 10 10:29:54 2026 using 20 quadratic characters above 4294917295
  300. Mon Aug 10 10:30:07 2026 building initial matrix
  301. Mon Aug 10 10:36:27 2026 memory use: 5689.2 MB
  302. Mon Aug 10 10:36:42 2026 read 11641462 cycles
  303. Mon Aug 10 10:36:42 2026 matrix is 11641281 x 11641462 (5119.2 MB) with weight 1581881429 (135.88/col)
  304. Mon Aug 10 10:36:42 2026 sparse part has weight 1202258858 (103.27/col)
  305. Mon Aug 10 10:38:14 2026 filtering completed in 2 passes
  306. Mon Aug 10 10:38:15 2026 matrix is 11639293 x 11639473 (5118.9 MB) with weight 1581776364 (135.90/col)
  307. Mon Aug 10 10:38:15 2026 sparse part has weight 1202221481 (103.29/col)
  308. Mon Aug 10 10:38:45 2026 building matrix for density 130
  309. Mon Aug 10 10:38:46 2026 read 11049462 cycles
  310. Mon Aug 10 10:39:04 2026 cycles contain 40718190 unique relations
  311. Mon Aug 10 10:41:37 2026 read 40718190 relations
  312. Mon Aug 10 10:41:49 2026 using 20 quadratic characters above 4294917295
  313. Mon Aug 10 10:42:03 2026 building initial matrix
  314. Mon Aug 10 10:49:55 2026 memory use: 5707.7 MB
  315. Mon Aug 10 10:50:11 2026 read 11049462 cycles
  316. Mon Aug 10 10:50:12 2026 matrix is 11049282 x 11049462 (5579.6 MB) with weight 1709525992 (154.72/col)
  317. Mon Aug 10 10:50:12 2026 sparse part has weight 1330053953 (120.37/col)
  318. Mon Aug 10 10:51:37 2026 filtering completed in 2 passes
  319. Mon Aug 10 10:51:39 2026 matrix is 11048661 x 11048840 (5579.5 MB) with weight 1709491516 (154.72/col)
  320. Mon Aug 10 10:51:39 2026 sparse part has weight 1330042623 (120.38/col)
  321. Mon Aug 10 10:52:04 2026 BLanczosTime: 2277
  322. Mon Aug 10 10:52:04 2026 elapsed time 01:36:04
  323. Mon Aug 10 15:59:33 2026
  324. Mon Aug 10 15:59:33 2026
  325. Mon Aug 10 15:59:33 2026 Msieve v. 1.54 (SVN unknown)
  326. Mon Aug 10 15:59:33 2026 random seeds: f20d2bf0 a442287f
  327. Mon Aug 10 15:59:33 2026 Using 8 OpenMP threads
  328. Mon Aug 10 15:59:33 2026 factoring 1877694857973607001252640795702777962716439125545019536139497490199207626977544001703996293593109407279381009471211992881575750357946263642225425698250891977169032663383047034473 (178 digits)
  329. Mon Aug 10 15:59:34 2026 no P-1/P+1/ECM available, skipping
  330. Mon Aug 10 15:59:34 2026 commencing number field sieve (178-digit input)
  331. Mon Aug 10 15:59:34 2026 R0: -25735745486908823668250058669524436
  332. Mon Aug 10 15:59:34 2026 R1: 9679497659699831955907
  333. Mon Aug 10 15:59:34 2026 A0: 8844540496414580795164607958042649803972565
  334. Mon Aug 10 15:59:34 2026 A1: 1210930385759103266820341921912782688
  335. Mon Aug 10 15:59:34 2026 A2: -12193698069379098053204996971
  336. Mon Aug 10 15:59:34 2026 A3: -2664594293529812442110
  337. Mon Aug 10 15:59:34 2026 A4: -22979670224952
  338. Mon Aug 10 15:59:34 2026 A5: 1164240
  339. Mon Aug 10 15:59:34 2026 skew 31336580.93, size 3.421e-17, alpha -8.623, combined = 1.551e-13 rroots = 3
  340. Mon Aug 10 15:59:34 2026
  341. Mon Aug 10 15:59:34 2026 commencing linear algebra
  342. Mon Aug 10 15:59:34 2026 using VBITS=256
  343. Mon Aug 10 15:59:34 2026 skipping matrix build
  344. Mon Aug 10 15:59:37 2026 matrix starts at (0, 0)
  345. Mon Aug 10 15:59:39 2026 matrix is 11048661 x 11048840 (5579.5 MB) with weight 1709491516 (154.72/col)
  346. Mon Aug 10 15:59:39 2026 sparse part has weight 1330042623 (120.38/col)
  347. Mon Aug 10 15:59:39 2026 saving the first 240 matrix rows for later
  348. Mon Aug 10 15:59:42 2026 matrix includes 256 packed rows
  349. Mon Aug 10 15:59:46 2026 matrix is 11048421 x 11048840 (5064.2 MB) with weight 1225006704 (110.87/col)
  350. Mon Aug 10 15:59:46 2026 sparse part has weight 1150774132 (104.15/col)
  351. Mon Aug 10 15:59:46 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  352. Mon Aug 10 15:59:46 2026 selected card has CUDA arch 12.0
  353. Mon Aug 10 15:59:47 2026 computed block_nnz 163819116 (L2 cache 100663296 bytes, average column weight 104.2)
  354. Mon Aug 10 15:59:47 2026 nonzeros per matrix block: 163819116
  355. Mon Aug 10 16:02:36 2026 commencing Lanczos iteration
  356. Mon Aug 10 16:02:37 2026 memory use: 12151.5 MB
  357. Mon Aug 10 16:02:46 2026 linear algebra at 0.3%, ETA 0h47m
  358. Mon Aug 10 16:02:59 2026 checking every 210000 dimensions, checkpointing every 13230000 dimensions
  359. Mon Aug 10 16:54:37 2026 lanczos halted after 43290 iterations (dim = 11048420)
  360. Mon Aug 10 16:55:40 2026 recovered 28 nontrivial dependencies
  361. Mon Aug 10 16:55:41 2026 BLanczosTime: 3367
  362. Mon Aug 10 16:55:41 2026 elapsed time 00:56:08
  363. Mon Aug 10 12:56:39 2026
  364. Mon Aug 10 12:56:39 2026
  365. Mon Aug 10 12:56:39 2026 Msieve v. 1.54 (SVN unknown)
  366. Mon Aug 10 12:56:39 2026 random seeds: cce93890 f6ba41cb
  367. Mon Aug 10 12:56:39 2026 Using 14 OpenMP threads
  368. Mon Aug 10 12:56:39 2026 factoring 1877694857973607001252640795702777962716439125545019536139497490199207626977544001703996293593109407279381009471211992881575750357946263642225425698250891977169032663383047034473 (178 digits)
  369. Mon Aug 10 12:56:39 2026 no P-1/P+1/ECM available, skipping
  370. Mon Aug 10 12:56:39 2026 commencing number field sieve (178-digit input)
  371. Mon Aug 10 12:56:39 2026 R0: -25735745486908823668250058669524436
  372. Mon Aug 10 12:56:39 2026 R1: 9679497659699831955907
  373. Mon Aug 10 12:56:39 2026 A0: 8844540496414580795164607958042649803972565
  374. Mon Aug 10 12:56:39 2026 A1: 1210930385759103266820341921912782688
  375. Mon Aug 10 12:56:39 2026 A2: -12193698069379098053204996971
  376. Mon Aug 10 12:56:39 2026 A3: -2664594293529812442110
  377. Mon Aug 10 12:56:39 2026 A4: -22979670224952
  378. Mon Aug 10 12:56:39 2026 A5: 1164240
  379. Mon Aug 10 12:56:39 2026 skew 31336580.93, size 3.421e-17, alpha -8.623, combined = 1.551e-13 rroots = 3
  380. Mon Aug 10 12:56:39 2026
  381. Mon Aug 10 12:56:39 2026 commencing square root phase
  382. Mon Aug 10 12:56:39 2026 reading relations for dependency 1
  383. Mon Aug 10 12:56:53 2026 read 5523059 cycles
  384. Mon Aug 10 12:57:09 2026 cycles contain 20348510 unique relations
  385. Mon Aug 10 13:01:07 2026 read 20348510 relations
  386. Mon Aug 10 13:02:02 2026 multiplying 20348510 relations
  387. Mon Aug 10 13:03:48 2026 multiply complete, coefficients have about 1189.14 million bits
  388. Mon Aug 10 13:03:51 2026 initial square root is modulo 215893
  389. Mon Aug 10 13:07:42 2026 GCD is 1, no factor found
  390. Mon Aug 10 13:07:42 2026 reading relations for dependency 2
  391. Mon Aug 10 13:07:44 2026 read 5526136 cycles
  392. Mon Aug 10 13:07:53 2026 cycles contain 20359182 unique relations
  393. Mon Aug 10 13:09:37 2026 read 20359182 relations
  394. Mon Aug 10 13:10:37 2026 multiplying 20359182 relations
  395. Mon Aug 10 13:12:30 2026 multiply complete, coefficients have about 1189.77 million bits
  396. Mon Aug 10 13:12:33 2026 initial square root is modulo 217319
  397. Mon Aug 10 13:17:42 2026 sqrtTime: 1263
  398. Mon Aug 10 13:17:42 2026 p68 factor: 28612517601835990673305271111985287608337998546910597629524008997353
  399. Mon Aug 10 13:17:42 2026 p110 factor: 65624943743262921281831800990910487273213935906105182082087166732600172512679250111751708692450867888923431041
  400. Mon Aug 10 13:17:42 2026 elapsed time 00:21:03
  401.  
Tags: math
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