kyleaskine

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Jul 28th, 2026
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  1. Tue Jul 28 18:01:31 2026
  2. Tue Jul 28 18:01:31 2026
  3. Tue Jul 28 18:01:31 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Jul 28 18:01:31 2026 random seeds: b2069411 74202e1b
  5. Tue Jul 28 18:01:31 2026 Using 14 OpenMP threads
  6. Tue Jul 28 18:01:31 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits)
  7. Tue Jul 28 18:01:31 2026 no P-1/P+1/ECM available, skipping
  8. Tue Jul 28 18:01:31 2026 commencing number field sieve (175-digit input)
  9. Tue Jul 28 18:01:31 2026 R0: -7801718609313819188945669647619128
  10. Tue Jul 28 18:01:31 2026 R1: 10334537022320704781521
  11. Tue Jul 28 18:01:31 2026 A0: 12315554946067644830890230183025056548610
  12. Tue Jul 28 18:01:31 2026 A1: -17290573610944287070307785352103479
  13. Tue Jul 28 18:01:31 2026 A2: 1369887171925028193028889094
  14. Tue Jul 28 18:01:31 2026 A3: -223483482365844791215
  15. Tue Jul 28 18:01:31 2026 A4: -53540332547358
  16. Tue Jul 28 18:01:31 2026 A5: 1164240
  17. Tue Jul 28 18:01:31 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3
  18. Tue Jul 28 18:01:31 2026
  19. Tue Jul 28 18:01:31 2026 commencing relation filtering
  20. Tue Jul 28 18:01:31 2026 setting 3 target densities:Tue Jul 28 18:01:31 2026 90Tue Jul 28 18:01:31 2026 110Tue Jul 28 18:01:31 2026 130Tue Jul 28 18:01:31 2026
  21. Tue Jul 28 18:01:31 2026 estimated available RAM is 78540.1 MB
  22. Tue Jul 28 18:01:31 2026 commencing duplicate removal, pass 1
  23. Tue Jul 28 18:01:36 2026 error -1 reading relation 4755207
  24. Tue Jul 28 18:01:54 2026 error -1 reading relation 27244275
  25. Tue Jul 28 18:02:16 2026 error -1 reading relation 51203604
  26. Tue Jul 28 18:02:16 2026 error -1 reading relation 51401416
  27. Tue Jul 28 18:02:17 2026 error -1 reading relation 52161621
  28. Tue Jul 28 18:02:33 2026 error -1 reading relation 68922101
  29. Tue Jul 28 18:02:44 2026 error -1 reading relation 83665303
  30. Tue Jul 28 18:03:03 2026 error -1 reading relation 102991760
  31. Tue Jul 28 18:03:37 2026 error -1 reading relation 143005364
  32. Tue Jul 28 18:03:57 2026 error -1 reading relation 163092395
  33. Tue Jul 28 18:03:57 2026 error -1 reading relation 163257557
  34. Tue Jul 28 18:03:58 2026 error -1 reading relation 164147396
  35. Tue Jul 28 18:04:03 2026 error -1 reading relation 168862425
  36. Tue Jul 28 18:04:07 2026 error -1 reading relation 175536522
  37. Tue Jul 28 18:04:07 2026 error -1 reading relation 176399841
  38. Tue Jul 28 18:04:13 2026 error -1 reading relation 183219218
  39. Tue Jul 28 18:04:21 2026 error -1 reading relation 192333833
  40. Tue Jul 28 18:04:39 2026 error -1 reading relation 214524585
  41. Tue Jul 28 18:04:52 2026 error -1 reading relation 228788115
  42. Tue Jul 28 18:04:55 2026 error -1 reading relation 231573279
  43. Tue Jul 28 18:05:03 2026 error -1 reading relation 241989927
  44. Tue Jul 28 18:05:08 2026 error -15 reading relation 248224657
  45. Tue Jul 28 18:05:08 2026 error -1 reading relation 248313812
  46. Tue Jul 28 18:05:12 2026 error -1 reading relation 252657241
  47. Tue Jul 28 18:05:12 2026 error -1 reading relation 252670799
  48. Tue Jul 28 18:05:14 2026 error -1 reading relation 254962058
  49. Tue Jul 28 18:05:15 2026 error -1 reading relation 256493500
  50. Tue Jul 28 18:05:18 2026 error -1 reading relation 258901500
  51. Tue Jul 28 18:05:25 2026 error -1 reading relation 266710545
  52. Tue Jul 28 18:05:25 2026 error -1 reading relation 266722655
  53. Tue Jul 28 18:05:28 2026 error -1 reading relation 269407105
  54. Tue Jul 28 18:05:32 2026 error -1 reading relation 275572002
  55. Tue Jul 28 18:05:34 2026 error -1 reading relation 277192123
  56. Tue Jul 28 18:05:34 2026 error -1 reading relation 277730253
  57. Tue Jul 28 18:05:37 2026 error -1 reading relation 280209483
  58. Tue Jul 28 18:05:38 2026 error -1 reading relation 280797433
  59. Tue Jul 28 18:05:42 2026 error -1 reading relation 284787059
  60. Tue Jul 28 18:05:44 2026 error -1 reading relation 286890049
  61. Tue Jul 28 18:05:44 2026 error -1 reading relation 287039716
  62. Tue Jul 28 18:05:46 2026 error -1 reading relation 289227613
  63. Tue Jul 28 18:05:47 2026 error -1 reading relation 289335649
  64. Tue Jul 28 18:05:52 2026 error -1 reading relation 294345667
  65. Tue Jul 28 18:05:56 2026 error -1 reading relation 298541289
  66. Tue Jul 28 18:06:01 2026 error -1 reading relation 303169709
  67. Tue Jul 28 18:06:04 2026 error -1 reading relation 308348253
  68. Tue Jul 28 18:06:16 2026 error -1 reading relation 319756873
  69. Tue Jul 28 18:06:16 2026 error -1 reading relation 319862060
  70. Tue Jul 28 18:06:18 2026 skipped 1 relations with b > 2^32
  71. Tue Jul 28 18:06:18 2026 skipped 457 malformed relations
  72. Tue Jul 28 18:06:18 2026 found 63247075 hash collisions in 321717179 relations
  73. Tue Jul 28 18:06:32 2026 added 122015 free relations
  74. Tue Jul 28 18:06:32 2026 commencing duplicate removal, pass 2
  75. Tue Jul 28 18:08:28 2026 found 66685556 duplicates and 255153638 unique relations
  76. Tue Jul 28 18:08:28 2026 memory use: 1705.5 MB
  77. Tue Jul 28 18:08:28 2026 reading ideals above 188022784
  78. Tue Jul 28 18:08:28 2026 commencing singleton removal, initial pass
  79. Tue Jul 28 18:14:31 2026 memory use: 6024.0 MB
  80. Tue Jul 28 18:14:31 2026 reading all ideals from disk
  81. Tue Jul 28 18:14:33 2026 memory use: 6427.7 MB
  82. Tue Jul 28 18:15:13 2026 commencing in-memory singleton removal
  83. Tue Jul 28 18:15:15 2026 begin with 255153638 relations and 222706985 unique ideals
  84. Tue Jul 28 18:15:28 2026 reduce to 151197474 relations and 107182260 ideals in 16 passes
  85. Tue Jul 28 18:15:28 2026 max relations containing the same ideal: 26
  86. Tue Jul 28 18:15:31 2026 reading ideals above 720000
  87. Tue Jul 28 18:15:31 2026 commencing singleton removal, initial pass
  88. Tue Jul 28 18:21:21 2026 memory use: 3012.0 MB
  89. Tue Jul 28 18:21:21 2026 reading all ideals from disk
  90. Tue Jul 28 18:21:25 2026 memory use: 7140.7 MB
  91. Tue Jul 28 18:21:33 2026 keeping 127329766 ideals with weight <= 200, target excess is 750712
  92. Tue Jul 28 18:21:45 2026 commencing in-memory singleton removal
  93. Tue Jul 28 18:21:47 2026 begin with 151197474 relations and 127329766 unique ideals
  94. Tue Jul 28 18:21:57 2026 reduce to 151148728 relations and 127281013 ideals in 10 passes
  95. Tue Jul 28 18:21:57 2026 max relations containing the same ideal: 200
  96. Tue Jul 28 18:22:45 2026 removing 12464763 relations and 10464763 ideals in 2000000 cliques
  97. Tue Jul 28 18:22:48 2026 commencing in-memory singleton removal
  98. Tue Jul 28 18:22:50 2026 begin with 138683965 relations and 127281013 unique ideals
  99. Tue Jul 28 18:22:58 2026 reduce to 137877172 relations and 115995537 ideals in 9 passes
  100. Tue Jul 28 18:22:58 2026 max relations containing the same ideal: 197
  101. Tue Jul 28 18:23:52 2026 removing 9525376 relations and 7525376 ideals in 2000000 cliques
  102. Tue Jul 28 18:23:53 2026 commencing in-memory singleton removal
  103. Tue Jul 28 18:23:55 2026 begin with 128351796 relations and 115995537 unique ideals
  104. Tue Jul 28 18:24:04 2026 reduce to 127814847 relations and 107925092 ideals in 8 passes
  105. Tue Jul 28 18:24:04 2026 max relations containing the same ideal: 188
  106. Tue Jul 28 18:24:40 2026 removing 8632749 relations and 6632749 ideals in 2000000 cliques
  107. Tue Jul 28 18:24:43 2026 commencing in-memory singleton removal
  108. Tue Jul 28 18:24:44 2026 begin with 119182098 relations and 107925092 unique ideals
  109. Tue Jul 28 18:24:52 2026 reduce to 118697859 relations and 100800962 ideals in 8 passes
  110. Tue Jul 28 18:24:52 2026 max relations containing the same ideal: 181
  111. Tue Jul 28 18:25:23 2026 removing 8184872 relations and 6184872 ideals in 2000000 cliques
  112. Tue Jul 28 18:25:25 2026 commencing in-memory singleton removal
  113. Tue Jul 28 18:25:27 2026 begin with 110512987 relations and 100800962 unique ideals
  114. Tue Jul 28 18:25:34 2026 reduce to 110049692 relations and 94145534 ideals in 8 passes
  115. Tue Jul 28 18:25:34 2026 max relations containing the same ideal: 174
  116. Tue Jul 28 18:26:05 2026 removing 7916836 relations and 5916836 ideals in 2000000 cliques
  117. Tue Jul 28 18:26:07 2026 commencing in-memory singleton removal
  118. Tue Jul 28 18:26:08 2026 begin with 102132856 relations and 94145534 unique ideals
  119. Tue Jul 28 18:26:14 2026 reduce to 101668351 relations and 87756481 ideals in 7 passes
  120. Tue Jul 28 18:26:14 2026 max relations containing the same ideal: 167
  121. Tue Jul 28 18:26:44 2026 removing 7754229 relations and 5754229 ideals in 2000000 cliques
  122. Tue Jul 28 18:26:46 2026 commencing in-memory singleton removal
  123. Tue Jul 28 18:26:47 2026 begin with 93914122 relations and 87756481 unique ideals
  124. Tue Jul 28 18:26:54 2026 reduce to 93436130 relations and 81515707 ideals in 8 passes
  125. Tue Jul 28 18:26:54 2026 max relations containing the same ideal: 157
  126. Tue Jul 28 18:27:21 2026 removing 7654144 relations and 5654144 ideals in 2000000 cliques
  127. Tue Jul 28 18:27:23 2026 commencing in-memory singleton removal
  128. Tue Jul 28 18:27:21 2026 begin with 85781986 relations and 81515707 unique ideals
  129. Tue Jul 28 18:27:27 2026 reduce to 85278905 relations and 75348937 ideals in 8 passes
  130. Tue Jul 28 18:27:27 2026 max relations containing the same ideal: 147
  131. Tue Jul 28 18:27:53 2026 removing 7609811 relations and 5609811 ideals in 2000000 cliques
  132. Tue Jul 28 18:27:56 2026 commencing in-memory singleton removal
  133. Tue Jul 28 18:27:56 2026 begin with 77669094 relations and 75348937 unique ideals
  134. Tue Jul 28 18:28:02 2026 reduce to 77131196 relations and 69190244 ideals in 9 passes
  135. Tue Jul 28 18:28:02 2026 max relations containing the same ideal: 136
  136. Tue Jul 28 18:28:25 2026 removing 7603409 relations and 5603409 ideals in 2000000 cliques
  137. Tue Jul 28 18:28:27 2026 commencing in-memory singleton removal
  138. Tue Jul 28 18:28:28 2026 begin with 69527787 relations and 69190244 unique ideals
  139. Tue Jul 28 18:28:33 2026 reduce to 68936108 relations and 62982068 ideals in 8 passes
  140. Tue Jul 28 18:28:33 2026 max relations containing the same ideal: 129
  141. Tue Jul 28 18:28:54 2026 removing 7622103 relations and 5622103 ideals in 2000000 cliques
  142. Tue Jul 28 18:28:55 2026 commencing in-memory singleton removal
  143. Tue Jul 28 18:28:56 2026 begin with 61314005 relations and 62982068 unique ideals
  144. Tue Jul 28 18:29:00 2026 reduce to 60653638 relations and 56683185 ideals in 8 passes
  145. Tue Jul 28 18:29:00 2026 max relations containing the same ideal: 116
  146. Tue Jul 28 18:29:22 2026 removing 7677375 relations and 5677375 ideals in 2000000 cliques
  147. Tue Jul 28 18:29:21 2026 commencing in-memory singleton removal
  148. Tue Jul 28 18:29:22 2026 begin with 52976263 relations and 56683185 unique ideals
  149. Tue Jul 28 18:29:25 2026 reduce to 52220968 relations and 50229140 ideals in 8 passes
  150. Tue Jul 28 18:29:25 2026 max relations containing the same ideal: 103
  151. Tue Jul 28 18:29:42 2026 removing 4927156 relations and 3806154 ideals in 1121002 cliques
  152. Tue Jul 28 18:29:44 2026 commencing in-memory singleton removal
  153. Tue Jul 28 18:29:44 2026 begin with 47293812 relations and 50229140 unique ideals
  154. Tue Jul 28 18:29:47 2026 reduce to 46955040 relations and 46077838 ideals in 9 passes
  155. Tue Jul 28 18:29:47 2026 max relations containing the same ideal: 97
  156. Tue Jul 28 18:30:02 2026 trying target density 90
  157. Tue Jul 28 18:30:06 2026 relations with 0 large ideals: 2837
  158. Tue Jul 28 18:30:06 2026 relations with 1 large ideals: 8395
  159. Tue Jul 28 18:30:06 2026 relations with 2 large ideals: 143083
  160. Tue Jul 28 18:30:06 2026 relations with 3 large ideals: 1027324
  161. Tue Jul 28 18:30:06 2026 relations with 4 large ideals: 3960331
  162. Tue Jul 28 18:30:06 2026 relations with 5 large ideals: 9043738
  163. Tue Jul 28 18:30:06 2026 relations with 6 large ideals: 12870835
  164. Tue Jul 28 18:30:06 2026 relations with 7+ large ideals: 19898497
  165. Tue Jul 28 18:30:06 2026 commencing 2-way merge
  166. Tue Jul 28 18:30:28 2026 reduce to 29398305 relation sets and 28521103 unique ideals
  167. Tue Jul 28 18:30:28 2026 commencing full merge
  168. Tue Jul 28 18:36:58 2026 memory use: 3487.1 MB
  169. Tue Jul 28 18:37:01 2026 found 14633726 cycles, need 14517303
  170. Tue Jul 28 18:37:05 2026 weight of 14517303 cycles is about 1307019188 (90.03/cycle)
  171. Tue Jul 28 18:37:05 2026 distribution of cycle lengths:
  172. Tue Jul 28 18:37:05 2026 1 relations: 1307080
  173. Tue Jul 28 18:37:05 2026 2 relations: 1426970
  174. Tue Jul 28 18:37:05 2026 3 relations: 1458683
  175. Tue Jul 28 18:37:05 2026 4 relations: 1380472
  176. Tue Jul 28 18:37:05 2026 5 relations: 1322293
  177. Tue Jul 28 18:37:05 2026 6 relations: 1243607
  178. Tue Jul 28 18:37:05 2026 7 relations: 1144866
  179. Tue Jul 28 18:37:05 2026 8 relations: 1020201
  180. Tue Jul 28 18:37:05 2026 9 relations: 893092
  181. Tue Jul 28 18:37:05 2026 10+ relations: 3320039
  182. Tue Jul 28 18:37:05 2026 heaviest cycle: 23 relations
  183. Tue Jul 28 18:37:07 2026 commencing cycle optimization
  184. Tue Jul 28 18:37:26 2026 start with 94518795 relations
  185. Tue Jul 28 18:39:28 2026 pruned 2917413 relations
  186. Tue Jul 28 18:39:30 2026 memory use: 2906.3 MB
  187. Tue Jul 28 18:39:30 2026 distribution of cycle lengths:
  188. Tue Jul 28 18:39:30 2026 1 relations: 1307080
  189. Tue Jul 28 18:39:30 2026 2 relations: 1460364
  190. Tue Jul 28 18:39:30 2026 3 relations: 1513866
  191. Tue Jul 28 18:39:30 2026 4 relations: 1422753
  192. Tue Jul 28 18:39:30 2026 5 relations: 1367818
  193. Tue Jul 28 18:39:30 2026 6 relations: 1278721
  194. Tue Jul 28 18:39:30 2026 7 relations: 1175166
  195. Tue Jul 28 18:39:30 2026 8 relations: 1040493
  196. Tue Jul 28 18:39:30 2026 9 relations: 901405
  197. Tue Jul 28 18:39:30 2026 10+ relations: 3049637
  198. Tue Jul 28 18:39:30 2026 heaviest cycle: 23 relations
  199. Tue Jul 28 18:39:51 2026 trying target density 110
  200. Tue Jul 28 18:39:55 2026 relations with 0 large ideals: 2837
  201. Tue Jul 28 18:39:55 2026 relations with 1 large ideals: 8395
  202. Tue Jul 28 18:39:55 2026 relations with 2 large ideals: 143083
  203. Tue Jul 28 18:39:55 2026 relations with 3 large ideals: 1027324
  204. Tue Jul 28 18:39:55 2026 relations with 4 large ideals: 3960331
  205. Tue Jul 28 18:39:55 2026 relations with 5 large ideals: 9043738
  206. Tue Jul 28 18:39:55 2026 relations with 6 large ideals: 12870835
  207. Tue Jul 28 18:39:55 2026 relations with 7+ large ideals: 19898497
  208. Tue Jul 28 18:39:55 2026 commencing 2-way merge
  209. Tue Jul 28 18:40:14 2026 reduce to 29398305 relation sets and 28521103 unique ideals
  210. Tue Jul 28 18:40:14 2026 commencing full merge
  211. Tue Jul 28 18:48:16 2026 memory use: 3585.2 MB
  212. Tue Jul 28 18:48:19 2026 found 13656830 cycles, need 13581303
  213. Tue Jul 28 18:48:22 2026 weight of 13581303 cycles is about 1494138379 (110.01/cycle)
  214. Tue Jul 28 18:48:22 2026 distribution of cycle lengths:
  215. Tue Jul 28 18:48:22 2026 1 relations: 827958
  216. Tue Jul 28 18:48:22 2026 2 relations: 1057281
  217. Tue Jul 28 18:48:22 2026 3 relations: 1138369
  218. Tue Jul 28 18:48:22 2026 4 relations: 1104204
  219. Tue Jul 28 18:48:22 2026 5 relations: 1077570
  220. Tue Jul 28 18:48:22 2026 6 relations: 1040500
  221. Tue Jul 28 18:48:22 2026 7 relations: 984414
  222. Tue Jul 28 18:48:22 2026 8 relations: 926818
  223. Tue Jul 28 18:48:22 2026 9 relations: 851900
  224. Tue Jul 28 18:48:22 2026 10+ relations: 4572289
  225. Tue Jul 28 18:48:22 2026 heaviest cycle: 28 relations
  226. Tue Jul 28 18:48:25 2026 commencing cycle optimization
  227. Tue Jul 28 18:48:46 2026 start with 107711633 relations
  228. Tue Jul 28 18:51:32 2026 pruned 4098433 relations
  229. Tue Jul 28 18:51:33 2026 memory use: 3046.6 MB
  230. Tue Jul 28 18:51:33 2026 distribution of cycle lengths:
  231. Tue Jul 28 18:51:33 2026 1 relations: 827958
  232. Tue Jul 28 18:51:33 2026 2 relations: 1084059
  233. Tue Jul 28 18:51:33 2026 3 relations: 1184733
  234. Tue Jul 28 18:51:33 2026 4 relations: 1143506
  235. Tue Jul 28 18:51:33 2026 5 relations: 1122076
  236. Tue Jul 28 18:51:33 2026 6 relations: 1078461
  237. Tue Jul 28 18:51:33 2026 7 relations: 1022607
  238. Tue Jul 28 18:51:33 2026 8 relations: 957612
  239. Tue Jul 28 18:51:33 2026 9 relations: 876481
  240. Tue Jul 28 18:51:33 2026 10+ relations: 4283810
  241. Tue Jul 28 18:51:33 2026 heaviest cycle: 28 relations
  242. Tue Jul 28 18:51:53 2026 trying target density 130
  243. Tue Jul 28 18:51:57 2026 relations with 0 large ideals: 2837
  244. Tue Jul 28 18:51:57 2026 relations with 1 large ideals: 8395
  245. Tue Jul 28 18:51:57 2026 relations with 2 large ideals: 143083
  246. Tue Jul 28 18:51:57 2026 relations with 3 large ideals: 1027324
  247. Tue Jul 28 18:51:57 2026 relations with 4 large ideals: 3960331
  248. Tue Jul 28 18:51:57 2026 relations with 5 large ideals: 9043738
  249. Tue Jul 28 18:51:57 2026 relations with 6 large ideals: 12870835
  250. Tue Jul 28 18:51:57 2026 relations with 7+ large ideals: 19898497
  251. Tue Jul 28 18:51:57 2026 commencing 2-way merge
  252. Tue Jul 28 18:52:18 2026 reduce to 29398305 relation sets and 28521103 unique ideals
  253. Tue Jul 28 18:52:18 2026 commencing full merge
  254. Tue Jul 28 19:09:17 2026 memory use: 1319.8 MB
  255. Tue Jul 28 19:09:17 2026 found 31303 cycles, need 6246412
  256. Tue Jul 28 19:09:17 2026 too few cycles, matrix probably cannot build
  257. Tue Jul 28 19:09:20 2026 RelProcTime: 4069
  258. Tue Jul 28 19:09:20 2026
  259. Tue Jul 28 19:09:20 2026 commencing linear algebra
  260. Tue Jul 28 19:09:20 2026 using VBITS=256
  261. Tue Jul 28 19:09:20 2026 building matrices for all densities
  262. Tue Jul 28 19:09:20 2026 found 2 density files
  263. Tue Jul 28 19:09:20 2026 building matrix for density 90
  264. Tue Jul 28 19:09:22 2026 read 14517303 cycles
  265. Tue Jul 28 19:09:41 2026 cycles contain 46339140 unique relations
  266. Tue Jul 28 19:15:36 2026 read 46339140 relations
  267. Tue Jul 28 19:15:44 2026 using 20 quadratic characters above 4294917295
  268. Tue Jul 28 19:15:55 2026 building initial matrix
  269. Tue Jul 28 19:21:40 2026 memory use: 6477.4 MB
  270. Tue Jul 28 19:21:45 2026 read 14517303 cycles
  271. Tue Jul 28 19:21:47 2026 matrix is 14517126 x 14517303 (5422.2 MB) with weight 1688458949 (116.31/col)
  272. Tue Jul 28 19:21:47 2026 sparse part has weight 1247190743 (85.91/col)
  273. Tue Jul 28 19:23:26 2026 filtering completed in 2 passes
  274. Tue Jul 28 19:23:28 2026 matrix is 14514828 x 14515004 (5422.0 MB) with weight 1688362890 (116.32/col)
  275. Tue Jul 28 19:23:28 2026 sparse part has weight 1247166135 (85.92/col)
  276. Tue Jul 28 19:23:52 2026 building matrix for density 110
  277. Tue Jul 28 19:23:53 2026 read 13581303 cycles
  278. Tue Jul 28 19:24:07 2026 cycles contain 46348036 unique relations
  279. Tue Jul 28 19:25:05 2026 read 46348036 relations
  280. Tue Jul 28 19:25:13 2026 using 20 quadratic characters above 4294917295
  281. Tue Jul 28 19:25:24 2026 building initial matrix
  282. Tue Jul 28 19:32:21 2026 memory use: 6495.7 MB
  283. Tue Jul 28 19:32:26 2026 read 13581303 cycles
  284. Tue Jul 28 19:32:28 2026 matrix is 13581126 x 13581303 (5986.0 MB) with weight 1845333867 (135.87/col)
  285. Tue Jul 28 19:32:28 2026 sparse part has weight 1406208047 (103.54/col)
  286. Tue Jul 28 19:34:02 2026 filtering completed in 2 passes
  287. Tue Jul 28 19:34:05 2026 matrix is 13580308 x 13580484 (5985.9 MB) with weight 1845295748 (135.88/col)
  288. Tue Jul 28 19:34:05 2026 sparse part has weight 1406197671 (103.55/col)
  289. Tue Jul 28 19:34:32 2026 BLanczosTime: 1512
  290. Tue Jul 28 19:34:32 2026 elapsed time 01:33:01
  291. Wed Jul 29 00:09:07 2026
  292. Wed Jul 29 00:09:07 2026
  293. Wed Jul 29 00:09:07 2026 Msieve v. 1.54 (SVN unknown)
  294. Wed Jul 29 00:09:07 2026 random seeds: 2e05ff06 9fb20d6d
  295. Wed Jul 29 00:09:07 2026 Using 8 OpenMP threads
  296. Wed Jul 29 00:09:07 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits)
  297. Wed Jul 29 00:09:07 2026 no P-1/P+1/ECM available, skipping
  298. Wed Jul 29 00:09:07 2026 commencing number field sieve (175-digit input)
  299. Wed Jul 29 00:09:07 2026 R0: -7801718609313819188945669647619128
  300. Wed Jul 29 00:09:07 2026 R1: 10334537022320704781521
  301. Wed Jul 29 00:09:07 2026 A0: 12315554946067644830890230183025056548610
  302. Wed Jul 29 00:09:07 2026 A1: -17290573610944287070307785352103479
  303. Wed Jul 29 00:09:07 2026 A2: 1369887171925028193028889094
  304. Wed Jul 29 00:09:07 2026 A3: -223483482365844791215
  305. Wed Jul 29 00:09:07 2026 A4: -53540332547358
  306. Wed Jul 29 00:09:07 2026 A5: 1164240
  307. Wed Jul 29 00:09:07 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3
  308. Wed Jul 29 00:09:07 2026
  309. Wed Jul 29 00:09:07 2026 commencing linear algebra
  310. Wed Jul 29 00:09:07 2026 using VBITS=256
  311. Wed Jul 29 00:09:07 2026 skipping matrix build
  312. Wed Jul 29 00:09:11 2026 matrix starts at (0, 0)
  313. Wed Jul 29 00:09:13 2026 matrix is 13580308 x 13580484 (5985.9 MB) with weight 1845295748 (135.88/col)
  314. Wed Jul 29 00:09:13 2026 sparse part has weight 1406197671 (103.55/col)
  315. Wed Jul 29 00:09:13 2026 saving the first 240 matrix rows for later
  316. Wed Jul 29 00:09:15 2026 matrix includes 256 packed rows
  317. Wed Jul 29 00:09:19 2026 matrix is 13580068 x 13580484 (5433.0 MB) with weight 1288538845 (94.88/col)
  318. Wed Jul 29 00:09:19 2026 sparse part has weight 1206930457 (88.87/col)
  319. Wed Jul 29 00:09:19 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  320. Wed Jul 29 00:09:19 2026 selected card has CUDA arch 12.0
  321. Wed Jul 29 00:09:20 2026 computed block_nnz 139784227 (L2 cache 100663296 bytes, average column weight 88.9)
  322. Wed Jul 29 00:09:20 2026 nonzeros per matrix block: 256000000
  323. Wed Jul 29 00:10:33 2026 commencing Lanczos iteration
  324. Wed Jul 29 00:10:34 2026 memory use: 13041.8 MB
  325. Wed Jul 29 00:10:44 2026 linear algebra at 0.2%, ETA 1h 6m
  326. Wed Jul 29 00:10:59 2026 checking every 190000 dimensions, checkpointing every 11590000 dimensions
  327. Wed Jul 29 01:24:38 2026 lanczos halted after 53206 iterations (dim = 13580068)
  328. Wed Jul 29 01:25:13 2026 recovered 31 nontrivial dependencies
  329. Wed Jul 29 01:25:14 2026 BLanczosTime: 4567
  330. Wed Jul 29 01:25:14 2026 elapsed time 01:16:07
  331. Tue Jul 28 21:36:06 2026
  332. Tue Jul 28 21:36:06 2026
  333. Tue Jul 28 21:36:06 2026 Msieve v. 1.54 (SVN unknown)
  334. Tue Jul 28 21:36:06 2026 random seeds: 29291f25 f26615c4
  335. Tue Jul 28 21:36:06 2026 Using 8 OpenMP threads
  336. Tue Jul 28 21:36:06 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits)
  337. Tue Jul 28 21:36:07 2026 no P-1/P+1/ECM available, skipping
  338. Tue Jul 28 21:36:07 2026 commencing number field sieve (175-digit input)
  339. Tue Jul 28 21:36:07 2026 R0: -7801718609313819188945669647619128
  340. Tue Jul 28 21:36:07 2026 R1: 10334537022320704781521
  341. Tue Jul 28 21:36:07 2026 A0: 12315554946067644830890230183025056548610
  342. Tue Jul 28 21:36:07 2026 A1: -17290573610944287070307785352103479
  343. Tue Jul 28 21:36:07 2026 A2: 1369887171925028193028889094
  344. Tue Jul 28 21:36:07 2026 A3: -223483482365844791215
  345. Tue Jul 28 21:36:07 2026 A4: -53540332547358
  346. Tue Jul 28 21:36:07 2026 A5: 1164240
  347. Tue Jul 28 21:36:07 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3
  348. Tue Jul 28 21:36:07 2026
  349. Tue Jul 28 21:36:07 2026 commencing square root phase
  350. Tue Jul 28 21:36:07 2026 reading relations for dependency 1
  351. Tue Jul 28 21:36:08 2026 read 6787388 cycles
  352. Tue Jul 28 21:36:18 2026 cycles contain 23161504 unique relations
  353. Tue Jul 28 21:45:29 2026 read 23161504 relations
  354. Tue Jul 28 21:46:52 2026 multiplying 23161504 relations
  355. Tue Jul 28 21:49:49 2026 multiply complete, coefficients have about 1347.02 million bits
  356. Tue Jul 28 21:49:50 2026 initial square root is modulo 1102663
  357. Tue Jul 28 21:55:50 2026 GCD is N, no factor found
  358. Tue Jul 28 21:55:50 2026 reading relations for dependency 2
  359. Tue Jul 28 21:55:51 2026 read 6790378 cycles
  360. Tue Jul 28 21:56:01 2026 cycles contain 23175582 unique relations
  361. Tue Jul 28 21:57:14 2026 read 23175582 relations
  362. Tue Jul 28 21:58:29 2026 multiplying 23175582 relations
  363. Tue Jul 28 22:01:19 2026 multiply complete, coefficients have about 1347.83 million bits
  364. Tue Jul 28 22:01:22 2026 initial square root is modulo 1111703
  365. Tue Jul 28 22:06:28 2026 GCD is N, no factor found
  366. Tue Jul 28 22:06:28 2026 reading relations for dependency 3
  367. Tue Jul 28 22:06:29 2026 read 6788540 cycles
  368. Tue Jul 28 22:06:37 2026 cycles contain 23171762 unique relations
  369. Tue Jul 28 22:06:57 2026 read 23171762 relations
  370. Tue Jul 28 22:08:06 2026 multiplying 23171762 relations
  371. Tue Jul 28 22:11:15 2026 multiply complete, coefficients have about 1347.63 million bits
  372. Tue Jul 28 22:11:18 2026 initial square root is modulo 1109431
  373. Tue Jul 28 22:17:19 2026 GCD is 1, no factor found
  374. Tue Jul 28 22:17:19 2026 reading relations for dependency 4
  375. Tue Jul 28 22:17:20 2026 read 6787192 cycles
  376. Tue Jul 28 22:17:31 2026 cycles contain 23170964 unique relations
  377. Tue Jul 28 22:18:14 2026 read 23170964 relations
  378. Tue Jul 28 22:19:31 2026 multiplying 23170964 relations
  379. Tue Jul 28 22:22:23 2026 multiply complete, coefficients have about 1347.57 million bits
  380. Tue Jul 28 22:22:26 2026 initial square root is modulo 1108781
  381. Tue Jul 28 22:28:23 2026 GCD is 1, no factor found
  382. Tue Jul 28 22:28:23 2026 reading relations for dependency 5
  383. Tue Jul 28 22:28:24 2026 read 6789408 cycles
  384. Tue Jul 28 22:28:31 2026 cycles contain 23174480 unique relations
  385. Tue Jul 28 22:29:09 2026 read 23174480 relations
  386. Tue Jul 28 22:30:22 2026 multiplying 23174480 relations
  387. Tue Jul 28 22:33:24 2026 multiply complete, coefficients have about 1347.77 million bits
  388. Tue Jul 28 22:33:27 2026 initial square root is modulo 1111067
  389. Tue Jul 28 22:39:29 2026 sqrtTime: 3802
  390. Tue Jul 28 22:39:29 2026 p65 factor: 96072557920371253525814343844032339181456896472793770518842658883
  391. Tue Jul 28 22:39:29 2026 p110 factor: 58373652207518970864615321316862178775864026755913158580753149002812538307982395841998930923533254614505313637
  392. Tue Jul 28 22:39:29 2026 elapsed time 01:03:23
  393.  
Tags: math
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