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kyleaskine
Aug 6th, 2026
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  1. Thu Aug 6 18:22:04 2026
  2. Thu Aug 6 18:22:04 2026
  3. Thu Aug 6 18:22:04 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 6 18:22:04 2026 random seeds: 43559755 e6e7a098
  5. Thu Aug 6 18:22:04 2026 Using 14 OpenMP threads
  6. Thu Aug 6 18:22:04 2026 factoring 176992356997503887683127494182957320476558488592932386294324321562212202869578934628955279707869505608959454433285869302921227846776432097223901563476582114511605104896353298507 (177 digits)
  7. Thu Aug 6 18:22:05 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 6 18:22:05 2026 commencing number field sieve (177-digit input)
  9. Thu Aug 6 18:22:05 2026 R0: -19990881095125061816509594058202888
  10. Thu Aug 6 18:22:05 2026 R1: 7203891772041591321047
  11. Thu Aug 6 18:22:05 2026 A0: -1068477961584540118226749068751791561452299
  12. Thu Aug 6 18:22:05 2026 A1: -566190327877289970711434218959738339
  13. Thu Aug 6 18:22:05 2026 A2: -48827541737157346124677355721
  14. Thu Aug 6 18:22:05 2026 A3: 32816820449585276551
  15. Thu Aug 6 18:22:05 2026 A4: -10056292344672
  16. Thu Aug 6 18:22:05 2026 A5: 55440
  17. Thu Aug 6 18:22:05 2026 skew 51598581.11, size 4.657e-17, alpha -8.177, combined = 1.818e-13 rroots = 3
  18. Thu Aug 6 18:22:05 2026
  19. Thu Aug 6 18:22:05 2026 commencing relation filtering
  20. Thu Aug 6 18:22:05 2026 setting 3 target densities:Thu Aug 6 18:22:05 2026 90Thu Aug 6 18:22:05 2026 110Thu Aug 6 18:22:05 2026 130Thu Aug 6 18:22:05 2026
  21. Thu Aug 6 18:22:05 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 6 18:22:05 2026 commencing duplicate removal, pass 1
  23. Thu Aug 6 18:22:26 2026 error -1 reading relation 33421255
  24. Thu Aug 6 18:22:37 2026 error -1 reading relation 48891825
  25. Thu Aug 6 18:22:50 2026 error -1 reading relation 66513849
  26. Thu Aug 6 18:23:03 2026 error -1 reading relation 88366127
  27. Thu Aug 6 18:23:03 2026 error -1 reading relation 88517486
  28. Thu Aug 6 18:23:05 2026 error -1 reading relation 91359793
  29. Thu Aug 6 18:23:28 2026 error -1 reading relation 126334498
  30. Thu Aug 6 18:23:39 2026 error -1 reading relation 141090431
  31. Thu Aug 6 18:23:41 2026 error -1 reading relation 143986030
  32. Thu Aug 6 18:24:03 2026 error -1 reading relation 177867765
  33. Thu Aug 6 18:24:33 2026 error -1 reading relation 222660660
  34. Thu Aug 6 18:24:49 2026 error -1 reading relation 245026290
  35. Thu Aug 6 18:24:51 2026 error -15 reading relation 247539793
  36. Thu Aug 6 18:24:53 2026 error -1 reading relation 250812399
  37. Thu Aug 6 18:25:01 2026 error -15 reading relation 264049981
  38. Thu Aug 6 18:25:10 2026 error -1 reading relation 277197662
  39. Thu Aug 6 18:25:11 2026 error -1 reading relation 277863260
  40. Thu Aug 6 18:25:11 2026 error -1 reading relation 277882025
  41. Thu Aug 6 18:25:11 2026 error -1 reading relation 278111342
  42. Thu Aug 6 18:25:11 2026 error -1 reading relation 278115071
  43. Thu Aug 6 18:25:16 2026 error -1 reading relation 285844459
  44. Thu Aug 6 18:25:25 2026 error -1 reading relation 298284002
  45. Thu Aug 6 18:25:25 2026 error -1 reading relation 298296405
  46. Thu Aug 6 18:25:28 2026 error -1 reading relation 305125847
  47. Thu Aug 6 18:25:30 2026 error -1 reading relation 307583218
  48. Thu Aug 6 18:25:32 2026 error -1 reading relation 310069299
  49. Thu Aug 6 18:25:39 2026 skipped 174 malformed relations
  50. Thu Aug 6 18:25:39 2026 found 62815204 hash collisions in 319719801 relations
  51. Thu Aug 6 18:25:52 2026 added 121974 free relations
  52. Thu Aug 6 18:25:52 2026 commencing duplicate removal, pass 2
  53. Thu Aug 6 18:27:34 2026 found 65265509 duplicates and 254576266 unique relations
  54. Thu Aug 6 18:27:34 2026 memory use: 1705.5 MB
  55. Thu Aug 6 18:27:34 2026 reading ideals above 720000
  56. Thu Aug 6 18:27:34 2026 commencing singleton removal, initial pass
  57. Thu Aug 6 18:35:57 2026 memory use: 6024.0 MB
  58. Thu Aug 6 18:35:57 2026 reading all ideals from disk
  59. Thu Aug 6 18:36:04 2026 memory use: 12125.8 MB
  60. Thu Aug 6 18:36:18 2026 keeping 237780206 ideals with weight <= 200, target excess is 1327676
  61. Thu Aug 6 18:36:35 2026 commencing in-memory singleton removal
  62. Thu Aug 6 18:36:38 2026 begin with 254576266 relations and 237780206 unique ideals
  63. Thu Aug 6 18:36:55 2026 reduce to 151729064 relations and 123516544 ideals in 13 passes
  64. Thu Aug 6 18:36:55 2026 max relations containing the same ideal: 149
  65. Thu Aug 6 18:37:35 2026 removing 11642365 relations and 9642365 ideals in 2000000 cliques
  66. Thu Aug 6 18:37:38 2026 commencing in-memory singleton removal
  67. Thu Aug 6 18:37:39 2026 begin with 140086699 relations and 123516544 unique ideals
  68. Thu Aug 6 18:37:47 2026 reduce to 139423801 relations and 113200134 ideals in 8 passes
  69. Thu Aug 6 18:37:47 2026 max relations containing the same ideal: 141
  70. Thu Aug 6 18:38:19 2026 removing 8884743 relations and 6884743 ideals in 2000000 cliques
  71. Thu Aug 6 18:38:22 2026 commencing in-memory singleton removal
  72. Thu Aug 6 18:38:23 2026 begin with 130539058 relations and 113200134 unique ideals
  73. Thu Aug 6 18:38:27 2026 reduce to 130093826 relations and 105863533 ideals in 8 passes
  74. Thu Aug 6 18:38:27 2026 max relations containing the same ideal: 136
  75. Thu Aug 6 18:38:58 2026 removing 8052375 relations and 6052375 ideals in 2000000 cliques
  76. Thu Aug 6 18:39:00 2026 commencing in-memory singleton removal
  77. Thu Aug 6 18:39:01 2026 begin with 122041451 relations and 105863533 unique ideals
  78. Thu Aug 6 18:39:08 2026 reduce to 121643352 relations and 99407206 ideals in 8 passes
  79. Thu Aug 6 18:39:08 2026 max relations containing the same ideal: 128
  80. Thu Aug 6 18:39:36 2026 removing 7625726 relations and 5625726 ideals in 2000000 cliques
  81. Thu Aug 6 18:39:39 2026 commencing in-memory singleton removal
  82. Thu Aug 6 18:39:41 2026 begin with 114017626 relations and 99407206 unique ideals
  83. Thu Aug 6 18:39:52 2026 reduce to 113640178 relations and 93398229 ideals in 7 passes
  84. Thu Aug 6 18:39:52 2026 max relations containing the same ideal: 124
  85. Thu Aug 6 18:40:36 2026 removing 7366440 relations and 5366440 ideals in 2000000 cliques
  86. Thu Aug 6 18:40:39 2026 commencing in-memory singleton removal
  87. Thu Aug 6 18:40:41 2026 begin with 106273738 relations and 93398229 unique ideals
  88. Thu Aug 6 18:40:52 2026 reduce to 105899296 relations and 87651412 ideals in 8 passes
  89. Thu Aug 6 18:40:52 2026 max relations containing the same ideal: 117
  90. Thu Aug 6 18:41:35 2026 removing 7202442 relations and 5202442 ideals in 2000000 cliques
  91. Thu Aug 6 18:41:38 2026 commencing in-memory singleton removal
  92. Thu Aug 6 18:41:39 2026 begin with 98696854 relations and 87651412 unique ideals
  93. Thu Aug 6 18:41:50 2026 reduce to 98314210 relations and 82059903 ideals in 8 passes
  94. Thu Aug 6 18:41:50 2026 max relations containing the same ideal: 110
  95. Thu Aug 6 18:42:16 2026 removing 7097881 relations and 5097881 ideals in 2000000 cliques
  96. Thu Aug 6 18:42:18 2026 commencing in-memory singleton removal
  97. Thu Aug 6 18:42:18 2026 begin with 91216329 relations and 82059903 unique ideals
  98. Thu Aug 6 18:42:22 2026 reduce to 90818944 relations and 76557483 ideals in 7 passes
  99. Thu Aug 6 18:42:22 2026 max relations containing the same ideal: 104
  100. Thu Aug 6 18:42:43 2026 removing 7043452 relations and 5043452 ideals in 2000000 cliques
  101. Thu Aug 6 18:42:45 2026 commencing in-memory singleton removal
  102. Thu Aug 6 18:42:46 2026 begin with 83775492 relations and 76557483 unique ideals
  103. Thu Aug 6 18:42:49 2026 reduce to 83355538 relations and 71085951 ideals in 7 passes
  104. Thu Aug 6 18:42:49 2026 max relations containing the same ideal: 98
  105. Thu Aug 6 18:43:08 2026 removing 7019532 relations and 5019532 ideals in 2000000 cliques
  106. Thu Aug 6 18:43:10 2026 commencing in-memory singleton removal
  107. Thu Aug 6 18:43:11 2026 begin with 76336006 relations and 71085951 unique ideals
  108. Thu Aug 6 18:43:14 2026 reduce to 75881903 relations and 65602812 ideals in 8 passes
  109. Thu Aug 6 18:43:14 2026 max relations containing the same ideal: 93
  110. Thu Aug 6 18:43:32 2026 removing 7036163 relations and 5036163 ideals in 2000000 cliques
  111. Thu Aug 6 18:43:33 2026 commencing in-memory singleton removal
  112. Thu Aug 6 18:43:34 2026 begin with 68845740 relations and 65602812 unique ideals
  113. Thu Aug 6 18:43:37 2026 reduce to 68340114 relations and 60049614 ideals in 8 passes
  114. Thu Aug 6 18:43:37 2026 max relations containing the same ideal: 88
  115. Thu Aug 6 18:43:53 2026 removing 7088727 relations and 5088727 ideals in 2000000 cliques
  116. Thu Aug 6 18:43:55 2026 commencing in-memory singleton removal
  117. Thu Aug 6 18:43:55 2026 begin with 61251387 relations and 60049614 unique ideals
  118. Thu Aug 6 18:43:58 2026 reduce to 60679948 relations and 54375190 ideals in 7 passes
  119. Thu Aug 6 18:43:58 2026 max relations containing the same ideal: 80
  120. Thu Aug 6 18:44:14 2026 removing 7187276 relations and 5187276 ideals in 2000000 cliques
  121. Thu Aug 6 18:44:16 2026 commencing in-memory singleton removal
  122. Thu Aug 6 18:44:16 2026 begin with 53492672 relations and 54375190 unique ideals
  123. Thu Aug 6 18:44:19 2026 reduce to 52819038 relations and 48495510 ideals in 8 passes
  124. Thu Aug 6 18:44:19 2026 max relations containing the same ideal: 72
  125. Thu Aug 6 18:44:31 2026 removing 7344667 relations and 5344667 ideals in 2000000 cliques
  126. Thu Aug 6 18:44:33 2026 commencing in-memory singleton removal
  127. Thu Aug 6 18:44:33 2026 begin with 45474371 relations and 48495510 unique ideals
  128. Thu Aug 6 18:44:35 2026 reduce to 44647375 relations and 42297350 ideals in 9 passes
  129. Thu Aug 6 18:44:35 2026 max relations containing the same ideal: 66
  130. Thu Aug 6 18:44:48 2026 removing 3753634 relations and 2943714 ideals in 809920 cliques
  131. Thu Aug 6 18:44:49 2026 commencing in-memory singleton removal
  132. Thu Aug 6 18:44:50 2026 begin with 40893741 relations and 42297350 unique ideals
  133. Thu Aug 6 18:44:51 2026 reduce to 40654989 relations and 39111207 ideals in 7 passes
  134. Thu Aug 6 18:44:51 2026 max relations containing the same ideal: 61
  135. Thu Aug 6 18:45:01 2026 trying target density 90
  136. Thu Aug 6 18:45:04 2026 relations with 0 large ideals: 4839
  137. Thu Aug 6 18:45:04 2026 relations with 1 large ideals: 34807
  138. Thu Aug 6 18:45:04 2026 relations with 2 large ideals: 448216
  139. Thu Aug 6 18:45:04 2026 relations with 3 large ideals: 2385050
  140. Thu Aug 6 18:45:04 2026 relations with 4 large ideals: 6686261
  141. Thu Aug 6 18:45:04 2026 relations with 5 large ideals: 10857859
  142. Thu Aug 6 18:45:04 2026 relations with 6 large ideals: 10760683
  143. Thu Aug 6 18:45:04 2026 relations with 7+ large ideals: 9477274
  144. Thu Aug 6 18:45:04 2026 commencing 2-way merge
  145. Thu Aug 6 18:45:23 2026 reduce to 24872382 relation sets and 23328600 unique ideals
  146. Thu Aug 6 18:45:23 2026 commencing full merge
  147. Thu Aug 6 18:49:25 2026 memory use: 2716.8 MB
  148. Thu Aug 6 18:49:27 2026 found 12222939 cycles, need 12012800
  149. Thu Aug 6 18:49:30 2026 weight of 12012800 cycles is about 1081435044 (90.02/cycle)
  150. Thu Aug 6 18:49:30 2026 distribution of cycle lengths:
  151. Thu Aug 6 18:49:30 2026 1 relations: 1217266
  152. Thu Aug 6 18:49:30 2026 2 relations: 1096731
  153. Thu Aug 6 18:49:30 2026 3 relations: 1138425
  154. Thu Aug 6 18:49:30 2026 4 relations: 1135980
  155. Thu Aug 6 18:49:30 2026 5 relations: 1112928
  156. Thu Aug 6 18:49:30 2026 6 relations: 1073859
  157. Thu Aug 6 18:49:30 2026 7 relations: 994452
  158. Thu Aug 6 18:49:30 2026 8 relations: 885506
  159. Thu Aug 6 18:49:30 2026 9 relations: 770194
  160. Thu Aug 6 18:49:30 2026 10+ relations: 2587459
  161. Thu Aug 6 18:49:30 2026 heaviest cycle: 21 relations
  162. Thu Aug 6 18:49:32 2026 commencing cycle optimization
  163. Thu Aug 6 18:49:48 2026 start with 76133239 relations
  164. Thu Aug 6 18:50:57 2026 pruned 2218992 relations
  165. Thu Aug 6 18:50:58 2026 memory use: 2425.2 MB
  166. Thu Aug 6 18:50:58 2026 distribution of cycle lengths:
  167. Thu Aug 6 18:50:58 2026 1 relations: 1217266
  168. Thu Aug 6 18:50:58 2026 2 relations: 1123199
  169. Thu Aug 6 18:50:58 2026 3 relations: 1180204
  170. Thu Aug 6 18:50:58 2026 4 relations: 1170968
  171. Thu Aug 6 18:50:58 2026 5 relations: 1153868
  172. Thu Aug 6 18:50:58 2026 6 relations: 1106441
  173. Thu Aug 6 18:50:58 2026 7 relations: 1022737
  174. Thu Aug 6 18:50:58 2026 8 relations: 902717
  175. Thu Aug 6 18:50:58 2026 9 relations: 776868
  176. Thu Aug 6 18:50:58 2026 10+ relations: 2358532
  177. Thu Aug 6 18:50:58 2026 heaviest cycle: 20 relations
  178. Thu Aug 6 18:51:12 2026 trying target density 110
  179. Thu Aug 6 18:51:15 2026 relations with 0 large ideals: 4839
  180. Thu Aug 6 18:51:15 2026 relations with 1 large ideals: 34807
  181. Thu Aug 6 18:51:15 2026 relations with 2 large ideals: 448216
  182. Thu Aug 6 18:51:15 2026 relations with 3 large ideals: 2385050
  183. Thu Aug 6 18:51:15 2026 relations with 4 large ideals: 6686261
  184. Thu Aug 6 18:51:15 2026 relations with 5 large ideals: 10857859
  185. Thu Aug 6 18:51:15 2026 relations with 6 large ideals: 10760683
  186. Thu Aug 6 18:51:15 2026 relations with 7+ large ideals: 9477274
  187. Thu Aug 6 18:51:15 2026 commencing 2-way merge
  188. Thu Aug 6 18:51:29 2026 reduce to 24872382 relation sets and 23328600 unique ideals
  189. Thu Aug 6 18:51:29 2026 commencing full merge
  190. Thu Aug 6 18:56:04 2026 memory use: 2784.4 MB
  191. Thu Aug 6 18:56:06 2026 found 11385343 cycles, need 11204800
  192. Thu Aug 6 18:56:08 2026 weight of 11204800 cycles is about 1232979498 (110.04/cycle)
  193. Thu Aug 6 18:56:08 2026 distribution of cycle lengths:
  194. Thu Aug 6 18:56:08 2026 1 relations: 904708
  195. Thu Aug 6 18:56:08 2026 2 relations: 821951
  196. Thu Aug 6 18:56:08 2026 3 relations: 855950
  197. Thu Aug 6 18:56:08 2026 4 relations: 854594
  198. Thu Aug 6 18:56:08 2026 5 relations: 862373
  199. Thu Aug 6 18:56:08 2026 6 relations: 859341
  200. Thu Aug 6 18:56:08 2026 7 relations: 828137
  201. Thu Aug 6 18:56:08 2026 8 relations: 786876
  202. Thu Aug 6 18:56:08 2026 9 relations: 728617
  203. Thu Aug 6 18:56:08 2026 10+ relations: 3702253
  204. Thu Aug 6 18:56:08 2026 heaviest cycle: 25 relations
  205. Thu Aug 6 18:56:10 2026 commencing cycle optimization
  206. Thu Aug 6 18:56:24 2026 start with 86468842 relations
  207. Thu Aug 6 18:58:03 2026 pruned 3207010 relations
  208. Thu Aug 6 18:58:03 2026 memory use: 2529.8 MB
  209. Thu Aug 6 18:58:04 2026 distribution of cycle lengths:
  210. Thu Aug 6 18:58:04 2026 1 relations: 904708
  211. Thu Aug 6 18:58:04 2026 2 relations: 842650
  212. Thu Aug 6 18:58:04 2026 3 relations: 889393
  213. Thu Aug 6 18:58:04 2026 4 relations: 885619
  214. Thu Aug 6 18:58:04 2026 5 relations: 900497
  215. Thu Aug 6 18:58:04 2026 6 relations: 893541
  216. Thu Aug 6 18:58:04 2026 7 relations: 864256
  217. Thu Aug 6 18:58:04 2026 8 relations: 816481
  218. Thu Aug 6 18:58:04 2026 9 relations: 753106
  219. Thu Aug 6 18:58:04 2026 10+ relations: 3454549
  220. Thu Aug 6 18:58:04 2026 heaviest cycle: 24 relations
  221. Thu Aug 6 18:58:18 2026 trying target density 130
  222. Thu Aug 6 18:58:21 2026 relations with 0 large ideals: 4839
  223. Thu Aug 6 18:58:21 2026 relations with 1 large ideals: 34807
  224. Thu Aug 6 18:58:21 2026 relations with 2 large ideals: 448216
  225. Thu Aug 6 18:58:21 2026 relations with 3 large ideals: 2385050
  226. Thu Aug 6 18:58:21 2026 relations with 4 large ideals: 6686261
  227. Thu Aug 6 18:58:21 2026 relations with 5 large ideals: 10857859
  228. Thu Aug 6 18:58:21 2026 relations with 6 large ideals: 10760683
  229. Thu Aug 6 18:58:21 2026 relations with 7+ large ideals: 9477274
  230. Thu Aug 6 18:58:21 2026 commencing 2-way merge
  231. Thu Aug 6 18:58:35 2026 reduce to 24872382 relation sets and 23328600 unique ideals
  232. Thu Aug 6 18:58:35 2026 commencing full merge
  233. Thu Aug 6 19:03:58 2026 memory use: 2822.9 MB
  234. Thu Aug 6 19:04:00 2026 found 10718780 cycles, need 10622800
  235. Thu Aug 6 19:04:02 2026 weight of 10622800 cycles is about 1381297464 (130.03/cycle)
  236. Thu Aug 6 19:04:02 2026 distribution of cycle lengths:
  237. Thu Aug 6 19:04:02 2026 1 relations: 686681
  238. Thu Aug 6 19:04:02 2026 2 relations: 650962
  239. Thu Aug 6 19:04:03 2026 3 relations: 677066
  240. Thu Aug 6 19:04:03 2026 4 relations: 684600
  241. Thu Aug 6 19:04:03 2026 5 relations: 696298
  242. Thu Aug 6 19:04:03 2026 6 relations: 700285
  243. Thu Aug 6 19:04:03 2026 7 relations: 700290
  244. Thu Aug 6 19:04:03 2026 8 relations: 676593
  245. Thu Aug 6 19:04:03 2026 9 relations: 649619
  246. Thu Aug 6 19:04:03 2026 10+ relations: 4500406
  247. Thu Aug 6 19:04:03 2026 heaviest cycle: 28 relations
  248. Thu Aug 6 19:04:04 2026 commencing cycle optimization
  249. Thu Aug 6 19:04:17 2026 start with 96444173 relations
  250. Thu Aug 6 19:06:33 2026 pruned 4231520 relations
  251. Thu Aug 6 19:06:33 2026 memory use: 2630.0 MB
  252. Thu Aug 6 19:06:33 2026 distribution of cycle lengths:
  253. Thu Aug 6 19:06:33 2026 1 relations: 686681
  254. Thu Aug 6 19:06:33 2026 2 relations: 667496
  255. Thu Aug 6 19:06:33 2026 3 relations: 704241
  256. Thu Aug 6 19:06:33 2026 4 relations: 711317
  257. Thu Aug 6 19:06:33 2026 5 relations: 729728
  258. Thu Aug 6 19:06:33 2026 6 relations: 733543
  259. Thu Aug 6 19:06:33 2026 7 relations: 735313
  260. Thu Aug 6 19:06:33 2026 8 relations: 709989
  261. Thu Aug 6 19:06:33 2026 9 relations: 682739
  262. Thu Aug 6 19:06:33 2026 10+ relations: 4261753
  263. Thu Aug 6 19:06:33 2026 heaviest cycle: 28 relations
  264. Thu Aug 6 19:06:45 2026 RelProcTime: 2680
  265. Thu Aug 6 19:06:45 2026
  266. Thu Aug 6 19:06:45 2026 commencing linear algebra
  267. Thu Aug 6 19:06:45 2026 using VBITS=256
  268. Thu Aug 6 19:06:45 2026 building matrices for all densities
  269. Thu Aug 6 19:06:45 2026 found 3 density files
  270. Thu Aug 6 19:06:45 2026 building matrix for density 90
  271. Thu Aug 6 19:06:46 2026 read 12012800 cycles
  272. Thu Aug 6 19:06:58 2026 cycles contain 39656785 unique relations
  273. Thu Aug 6 19:07:26 2026 read 39656785 relations
  274. Thu Aug 6 19:07:32 2026 using 20 quadratic characters above 4294917295
  275. Thu Aug 6 19:07:38 2026 building initial matrix
  276. Thu Aug 6 19:11:57 2026 memory use: 5514.7 MB
  277. Thu Aug 6 19:12:00 2026 read 12012800 cycles
  278. Thu Aug 6 19:12:02 2026 matrix is 12012616 x 12012800 (4481.5 MB) with weight 1385753697 (115.36/col)
  279. Thu Aug 6 19:12:02 2026 sparse part has weight 1030632378 (85.79/col)
  280. Thu Aug 6 19:13:13 2026 filtering completed in 2 passes
  281. Thu Aug 6 19:13:15 2026 matrix is 12007840 x 12008022 (4481.0 MB) with weight 1385546912 (115.39/col)
  282. Thu Aug 6 19:13:15 2026 sparse part has weight 1030564874 (85.82/col)
  283. Thu Aug 6 19:13:31 2026 building matrix for density 110
  284. Thu Aug 6 19:13:31 2026 read 11204800 cycles
  285. Thu Aug 6 19:13:43 2026 cycles contain 39670470 unique relations
  286. Thu Aug 6 19:14:02 2026 read 39670470 relations
  287. Thu Aug 6 19:14:08 2026 using 20 quadratic characters above 4294917295
  288. Thu Aug 6 19:14:17 2026 building initial matrix
  289. Thu Aug 6 19:19:04 2026 memory use: 5527.3 MB
  290. Thu Aug 6 19:19:08 2026 read 11204800 cycles
  291. Thu Aug 6 19:19:09 2026 matrix is 11204618 x 11204800 (4922.7 MB) with weight 1508766061 (134.65/col)
  292. Thu Aug 6 19:19:09 2026 sparse part has weight 1155999237 (103.17/col)
  293. Thu Aug 6 19:20:28 2026 filtering completed in 2 passes
  294. Thu Aug 6 19:20:30 2026 matrix is 11202494 x 11202674 (4922.4 MB) with weight 1508655658 (134.67/col)
  295. Thu Aug 6 19:20:30 2026 sparse part has weight 1155957924 (103.19/col)
  296. Thu Aug 6 19:20:46 2026 building matrix for density 130
  297. Thu Aug 6 19:20:47 2026 read 10622800 cycles
  298. Thu Aug 6 19:21:00 2026 cycles contain 39672247 unique relations
  299. Thu Aug 6 19:21:20 2026 read 39672247 relations
  300. Thu Aug 6 19:21:26 2026 using 20 quadratic characters above 4294917295
  301. Thu Aug 6 19:21:34 2026 building initial matrix
  302. Thu Aug 6 19:26:46 2026 memory use: 5544.0 MB
  303. Thu Aug 6 19:26:50 2026 read 10622800 cycles
  304. Thu Aug 6 19:26:51 2026 matrix is 10622622 x 10622800 (5356.1 MB) with weight 1628343850 (153.29/col)
  305. Thu Aug 6 19:26:51 2026 sparse part has weight 1276591377 (120.17/col)
  306. Thu Aug 6 19:28:03 2026 filtering completed in 2 passes
  307. Thu Aug 6 19:28:05 2026 matrix is 10621935 x 10622112 (5356.0 MB) with weight 1628304275 (153.29/col)
  308. Thu Aug 6 19:28:05 2026 sparse part has weight 1276576202 (120.18/col)
  309. Thu Aug 6 19:28:27 2026 BLanczosTime: 1302
  310. Thu Aug 6 19:28:27 2026 elapsed time 01:06:23
  311. Fri Aug 7 03:09:22 2026
  312. Fri Aug 7 03:09:22 2026
  313. Fri Aug 7 03:09:22 2026 Msieve v. 1.54 (SVN unknown)
  314. Fri Aug 7 03:09:22 2026 random seeds: 5d68616b f0850678
  315. Fri Aug 7 03:09:22 2026 Using 8 OpenMP threads
  316. Fri Aug 7 03:09:22 2026 factoring 176992356997503887683127494182957320476558488592932386294324321562212202869578934628955279707869505608959454433285869302921227846776432097223901563476582114511605104896353298507 (177 digits)
  317. Fri Aug 7 03:09:22 2026 no P-1/P+1/ECM available, skipping
  318. Fri Aug 7 03:09:22 2026 commencing number field sieve (177-digit input)
  319. Fri Aug 7 03:09:22 2026 R0: -19990881095125061816509594058202888
  320. Fri Aug 7 03:09:22 2026 R1: 7203891772041591321047
  321. Fri Aug 7 03:09:22 2026 A0: -1068477961584540118226749068751791561452299
  322. Fri Aug 7 03:09:22 2026 A1: -566190327877289970711434218959738339
  323. Fri Aug 7 03:09:22 2026 A2: -48827541737157346124677355721
  324. Fri Aug 7 03:09:22 2026 A3: 32816820449585276551
  325. Fri Aug 7 03:09:22 2026 A4: -10056292344672
  326. Fri Aug 7 03:09:22 2026 A5: 55440
  327. Fri Aug 7 03:09:22 2026 skew 51598581.11, size 4.657e-17, alpha -8.177, combined = 1.818e-13 rroots = 3
  328. Fri Aug 7 03:09:22 2026
  329. Fri Aug 7 03:09:22 2026 commencing linear algebra
  330. Fri Aug 7 03:09:22 2026 using VBITS=256
  331. Fri Aug 7 03:09:22 2026 skipping matrix build
  332. Fri Aug 7 03:09:26 2026 matrix starts at (0, 0)
  333. Fri Aug 7 03:09:27 2026 matrix is 10621935 x 10622112 (5356.0 MB) with weight 1628304275 (153.29/col)
  334. Fri Aug 7 03:09:27 2026 sparse part has weight 1276576202 (120.18/col)
  335. Fri Aug 7 03:09:27 2026 saving the first 240 matrix rows for later
  336. Fri Aug 7 03:09:30 2026 matrix includes 256 packed rows
  337. Fri Aug 7 03:09:34 2026 matrix is 10621695 x 10622112 (4813.6 MB) with weight 1166020529 (109.77/col)
  338. Fri Aug 7 03:09:34 2026 sparse part has weight 1091907496 (102.80/col)
  339. Fri Aug 7 03:09:34 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  340. Fri Aug 7 03:09:34 2026 selected card has CUDA arch 12.0
  341. Fri Aug 7 03:09:35 2026 computed block_nnz 161683664 (L2 cache 100663296 bytes, average column weight 102.8)
  342. Fri Aug 7 03:09:35 2026 nonzeros per matrix block: 256000000
  343. Fri Aug 7 03:11:44 2026 commencing Lanczos iteration
  344. Fri Aug 7 03:11:45 2026 memory use: 11329.1 MB
  345. Fri Aug 7 03:11:53 2026 linear algebra at 0.3%, ETA 0h46m
  346. Fri Aug 7 03:12:04 2026 checking every 240000 dimensions, checkpointing every 14640000 dimensions
  347. Fri Aug 7 03:55:35 2026 lanczos halted after 41617 iterations (dim = 10621694)
  348. Fri Aug 7 03:56:59 2026 recovered 31 nontrivial dependencies
  349. Fri Aug 7 03:56:59 2026 BLanczosTime: 2857
  350. Fri Aug 7 03:56:59 2026 elapsed time 00:47:37
  351. Fri Aug 7 00:14:06 2026
  352. Fri Aug 7 00:14:06 2026
  353. Fri Aug 7 00:14:06 2026 Msieve v. 1.54 (SVN unknown)
  354. Fri Aug 7 00:14:06 2026 random seeds: 9e87a4d6 7150d8de
  355. Fri Aug 7 00:14:06 2026 Using 14 OpenMP threads
  356. Fri Aug 7 00:14:06 2026 factoring 176992356997503887683127494182957320476558488592932386294324321562212202869578934628955279707869505608959454433285869302921227846776432097223901563476582114511605104896353298507 (177 digits)
  357. Fri Aug 7 00:14:06 2026 no P-1/P+1/ECM available, skipping
  358. Fri Aug 7 00:14:06 2026 commencing number field sieve (177-digit input)
  359. Fri Aug 7 00:14:06 2026 R0: -19990881095125061816509594058202888
  360. Fri Aug 7 00:14:06 2026 R1: 7203891772041591321047
  361. Fri Aug 7 00:14:06 2026 A0: -1068477961584540118226749068751791561452299
  362. Fri Aug 7 00:14:06 2026 A1: -566190327877289970711434218959738339
  363. Fri Aug 7 00:14:06 2026 A2: -48827541737157346124677355721
  364. Fri Aug 7 00:14:06 2026 A3: 32816820449585276551
  365. Fri Aug 7 00:14:06 2026 A4: -10056292344672
  366. Fri Aug 7 00:14:06 2026 A5: 55440
  367. Fri Aug 7 00:14:06 2026 skew 51598581.11, size 4.657e-17, alpha -8.177, combined = 1.818e-13 rroots = 3
  368. Fri Aug 7 00:14:06 2026
  369. Fri Aug 7 00:14:06 2026 commencing square root phase
  370. Fri Aug 7 00:14:06 2026 reading relations for dependency 1
  371. Fri Aug 7 00:14:07 2026 read 5312166 cycles
  372. Fri Aug 7 00:14:13 2026 cycles contain 19836470 unique relations
  373. Fri Aug 7 00:16:14 2026 read 19836470 relations
  374. Fri Aug 7 00:17:05 2026 multiplying 19836470 relations
  375. Fri Aug 7 00:18:45 2026 multiply complete, coefficients have about 1095.55 million bits
  376. Fri Aug 7 00:18:47 2026 initial square root is modulo 82153
  377. Fri Aug 7 00:22:12 2026 sqrtTime: 486
  378. Fri Aug 7 00:22:12 2026 p84 factor: 637370649944217339800731780569465858717116520424800463626911778479539440657729076099
  379. Fri Aug 7 00:22:12 2026 p93 factor: 277691413956689492163041759861640689325024399002899719139870492568086652681766170968936848793
  380. Fri Aug 7 00:22:12 2026 elapsed time 00:08:06
  381.  
Tags: math
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