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kyleaskine
Aug 1st, 2026
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  1. Sat Aug 1 14:16:22 2026
  2. Sat Aug 1 14:16:22 2026
  3. Sat Aug 1 14:16:22 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Aug 1 14:16:22 2026 random seeds: d14452fc 076c7e92
  5. Sat Aug 1 14:16:22 2026 Using 8 OpenMP threads
  6. Sat Aug 1 14:16:22 2026 factoring 113977085018156799419835750326485501127890988009209125150006447434431702188549771363573956677507524129583193459919444066535271037298458605563998187718297960334103561570895993 (174 digits)
  7. Sat Aug 1 14:16:22 2026 no P-1/P+1/ECM available, skipping
  8. Sat Aug 1 14:16:22 2026 commencing number field sieve (174-digit input)
  9. Sat Aug 1 14:16:22 2026 R0: -3269859985407991591408972972983112
  10. Sat Aug 1 14:16:22 2026 R1: 4118954190015258624419
  11. Sat Aug 1 14:16:22 2026 A0: -5201763617730995601740607606537478418295
  12. Sat Aug 1 14:16:22 2026 A1: 18892901379509657686136639609227648
  13. Sat Aug 1 14:16:22 2026 A2: 3490994631570380983358198691
  14. Sat Aug 1 14:16:22 2026 A3: -229430712974656359988
  15. Sat Aug 1 14:16:22 2026 A4: -23657771793696
  16. Sat Aug 1 14:16:22 2026 A5: 914760
  17. Sat Aug 1 14:16:22 2026 skew 11610658.37, size 9.368e-17, alpha -7.244, combined = 2.842e-13 rroots = 5
  18. Sat Aug 1 14:16:22 2026
  19. Sat Aug 1 14:16:22 2026 commencing relation filtering
  20. Sat Aug 1 14:16:22 2026 setting 3 target densities:Sat Aug 1 14:16:22 2026 90Sat Aug 1 14:16:22 2026 110Sat Aug 1 14:16:22 2026 130Sat Aug 1 14:16:22 2026
  21. Sat Aug 1 14:16:22 2026 estimated available RAM is 78540.1 MB
  22. Sat Aug 1 14:16:22 2026 commencing duplicate removal, pass 1
  23. Sat Aug 1 14:17:26 2026 error -1 reading relation 58476428
  24. Sat Aug 1 14:18:17 2026 error -1 reading relation 105932904
  25. Sat Aug 1 14:18:17 2026 error -1 reading relation 106022146
  26. Sat Aug 1 14:18:37 2026 error -1 reading relation 123729541
  27. Sat Aug 1 14:18:38 2026 error -1 reading relation 124854224
  28. Sat Aug 1 14:18:44 2026 error -1 reading relation 130211178
  29. Sat Aug 1 14:18:49 2026 error -1 reading relation 136809782
  30. Sat Aug 1 14:19:02 2026 error -1 reading relation 147633838
  31. Sat Aug 1 14:19:02 2026 error -1 reading relation 147667259
  32. Sat Aug 1 14:19:08 2026 error -1 reading relation 153255479
  33. Sat Aug 1 14:19:12 2026 error -1 reading relation 156934571
  34. Sat Aug 1 14:19:32 2026 error -1 reading relation 175861958
  35. Sat Aug 1 14:19:35 2026 error -1 reading relation 178084019
  36. Sat Aug 1 14:19:35 2026 error -1 reading relation 178617161
  37. Sat Aug 1 14:19:42 2026 error -1 reading relation 184908316
  38. Sat Aug 1 14:20:03 2026 error -1 reading relation 205583264
  39. Sat Aug 1 14:20:09 2026 error -1 reading relation 211061060
  40. Sat Aug 1 14:20:11 2026 error -1 reading relation 212916797
  41. Sat Aug 1 14:20:12 2026 error -1 reading relation 213388608
  42. Sat Aug 1 14:20:12 2026 error -1 reading relation 213513331
  43. Sat Aug 1 14:21:20 2026 error -1 reading relation 280350754
  44. Sat Aug 1 14:21:29 2026 error -1 reading relation 290068900
  45. Sat Aug 1 14:21:29 2026 error -1 reading relation 290115150
  46. Sat Aug 1 14:21:41 2026 error -1 reading relation 300747823
  47. Sat Aug 1 14:21:42 2026 error -1 reading relation 302414255
  48. Sat Aug 1 14:21:46 2026 error -1 reading relation 306066137
  49. Sat Aug 1 14:21:46 2026 error -1 reading relation 306436775
  50. Sat Aug 1 14:21:52 2026 error -1 reading relation 313437966
  51. Sat Aug 1 14:22:04 2026 skipped 2 relations with composite factors
  52. Sat Aug 1 14:22:04 2026 skipped 273 malformed relations
  53. Sat Aug 1 14:22:04 2026 found 62462652 hash collisions in 324287973 relations
  54. Sat Aug 1 14:22:17 2026 added 122061 free relations
  55. Sat Aug 1 14:22:17 2026 commencing duplicate removal, pass 2
  56. Sat Aug 1 14:24:41 2026 found 65111145 duplicates and 259298889 unique relations
  57. Sat Aug 1 14:24:41 2026 memory use: 1705.5 MB
  58. Sat Aug 1 14:24:42 2026 reading ideals above 720000
  59. Sat Aug 1 14:24:42 2026 commencing singleton removal, initial pass
  60. Sat Aug 1 14:49:40 2026 memory use: 6024.0 MB
  61. Sat Aug 1 14:49:41 2026 reading all ideals from disk
  62. Sat Aug 1 14:49:49 2026 memory use: 12231.4 MB
  63. Sat Aug 1 14:50:06 2026 keeping 243212446 ideals with weight <= 200, target excess is 1266677
  64. Sat Aug 1 14:50:32 2026 commencing in-memory singleton removal
  65. Sat Aug 1 14:50:37 2026 begin with 259298889 relations and 243212446 unique ideals
  66. Sat Aug 1 14:51:17 2026 reduce to 156534015 relations and 129276805 ideals in 15 passes
  67. Sat Aug 1 14:51:17 2026 max relations containing the same ideal: 154
  68. Sat Aug 1 14:52:03 2026 removing 12135604 relations and 10135604 ideals in 2000000 cliques
  69. Sat Aug 1 14:52:06 2026 commencing in-memory singleton removal
  70. Sat Aug 1 14:52:08 2026 begin with 144398411 relations and 129276805 unique ideals
  71. Sat Aug 1 14:52:21 2026 reduce to 143665885 relations and 118396723 ideals in 9 passes
  72. Sat Aug 1 14:52:21 2026 max relations containing the same ideal: 148
  73. Sat Aug 1 14:53:04 2026 removing 9268157 relations and 7268157 ideals in 2000000 cliques
  74. Sat Aug 1 14:53:07 2026 commencing in-memory singleton removal
  75. Sat Aug 1 14:53:09 2026 begin with 134397728 relations and 118396723 unique ideals
  76. Sat Aug 1 14:53:25 2026 reduce to 133907408 relations and 110631039 ideals in 9 passes
  77. Sat Aug 1 14:53:25 2026 max relations containing the same ideal: 142
  78. Sat Aug 1 14:54:11 2026 removing 8401270 relations and 6401270 ideals in 2000000 cliques
  79. Sat Aug 1 14:54:14 2026 commencing in-memory singleton removal
  80. Sat Aug 1 14:54:16 2026 begin with 125506138 relations and 110631039 unique ideals
  81. Sat Aug 1 14:54:29 2026 reduce to 125069685 relations and 103787013 ideals in 8 passes
  82. Sat Aug 1 14:54:29 2026 max relations containing the same ideal: 135
  83. Sat Aug 1 14:55:11 2026 removing 7956682 relations and 5956682 ideals in 2000000 cliques
  84. Sat Aug 1 14:55:14 2026 commencing in-memory singleton removal
  85. Sat Aug 1 14:55:16 2026 begin with 117113003 relations and 103787013 unique ideals
  86. Sat Aug 1 14:55:27 2026 reduce to 116695081 relations and 97406134 ideals in 7 passes
  87. Sat Aug 1 14:55:27 2026 max relations containing the same ideal: 124
  88. Sat Aug 1 14:56:07 2026 removing 7687164 relations and 5687164 ideals in 2000000 cliques
  89. Sat Aug 1 14:56:10 2026 commencing in-memory singleton removal
  90. Sat Aug 1 14:56:12 2026 begin with 109007917 relations and 97406134 unique ideals
  91. Sat Aug 1 14:56:25 2026 reduce to 108593228 relations and 91297797 ideals in 8 passes
  92. Sat Aug 1 14:56:25 2026 max relations containing the same ideal: 119
  93. Sat Aug 1 14:57:01 2026 removing 7523937 relations and 5523937 ideals in 2000000 cliques
  94. Sat Aug 1 14:57:04 2026 commencing in-memory singleton removal
  95. Sat Aug 1 14:57:06 2026 begin with 101069291 relations and 91297797 unique ideals
  96. Sat Aug 1 14:57:16 2026 reduce to 100649211 relations and 85346787 ideals in 7 passes
  97. Sat Aug 1 14:57:16 2026 max relations containing the same ideal: 115
  98. Sat Aug 1 14:57:52 2026 removing 7422345 relations and 5422345 ideals in 2000000 cliques
  99. Sat Aug 1 14:57:55 2026 commencing in-memory singleton removal
  100. Sat Aug 1 14:57:56 2026 begin with 93226866 relations and 85346787 unique ideals
  101. Sat Aug 1 14:58:03 2026 reduce to 92789913 relations and 79479659 ideals in 7 passes
  102. Sat Aug 1 14:58:03 2026 max relations containing the same ideal: 109
  103. Sat Aug 1 14:58:37 2026 removing 7357460 relations and 5357460 ideals in 2000000 cliques
  104. Sat Aug 1 14:58:40 2026 commencing in-memory singleton removal
  105. Sat Aug 1 14:58:41 2026 begin with 85432453 relations and 79479659 unique ideals
  106. Sat Aug 1 14:58:49 2026 reduce to 84970147 relations and 73651081 ideals in 7 passes
  107. Sat Aug 1 14:58:49 2026 max relations containing the same ideal: 105
  108. Sat Aug 1 14:59:22 2026 removing 7336491 relations and 5336491 ideals in 2000000 cliques
  109. Sat Aug 1 14:59:24 2026 commencing in-memory singleton removal
  110. Sat Aug 1 14:59:25 2026 begin with 77633656 relations and 73651081 unique ideals
  111. Sat Aug 1 14:59:34 2026 reduce to 77135821 relations and 67806598 ideals in 8 passes
  112. Sat Aug 1 14:59:34 2026 max relations containing the same ideal: 99
  113. Sat Aug 1 15:00:01 2026 removing 7345983 relations and 5345983 ideals in 2000000 cliques
  114. Sat Aug 1 15:00:03 2026 commencing in-memory singleton removal
  115. Sat Aug 1 15:00:04 2026 begin with 69789838 relations and 67806598 unique ideals
  116. Sat Aug 1 15:00:12 2026 reduce to 69246283 relations and 61904974 ideals in 8 passes
  117. Sat Aug 1 15:00:12 2026 max relations containing the same ideal: 93
  118. Sat Aug 1 15:00:38 2026 removing 7381175 relations and 5381175 ideals in 2000000 cliques
  119. Sat Aug 1 15:00:40 2026 commencing in-memory singleton removal
  120. Sat Aug 1 15:00:41 2026 begin with 61865108 relations and 61904974 unique ideals
  121. Sat Aug 1 15:00:47 2026 reduce to 61255988 relations and 55899655 ideals in 9 passes
  122. Sat Aug 1 15:00:47 2026 max relations containing the same ideal: 82
  123. Sat Aug 1 15:01:11 2026 removing 7446906 relations and 5446906 ideals in 2000000 cliques
  124. Sat Aug 1 15:01:13 2026 commencing in-memory singleton removal
  125. Sat Aug 1 15:01:14 2026 begin with 53809082 relations and 55899655 unique ideals
  126. Sat Aug 1 15:01:20 2026 reduce to 53112232 relations and 49736444 ideals in 8 passes
  127. Sat Aug 1 15:01:20 2026 max relations containing the same ideal: 75
  128. Sat Aug 1 15:01:38 2026 removing 7250738 relations and 5344296 ideals in 1906442 cliques
  129. Sat Aug 1 15:01:40 2026 commencing in-memory singleton removal
  130. Sat Aug 1 15:01:41 2026 begin with 45861494 relations and 49736444 unique ideals
  131. Sat Aug 1 15:01:46 2026 reduce to 45103582 relations and 43610770 ideals in 9 passes
  132. Sat Aug 1 15:01:46 2026 max relations containing the same ideal: 66
  133. Sat Aug 1 15:02:05 2026 removing 194050 relations and 170584 ideals in 23466 cliques
  134. Sat Aug 1 15:02:06 2026 commencing in-memory singleton removal
  135. Sat Aug 1 15:02:06 2026 begin with 44909532 relations and 43610770 unique ideals
  136. Sat Aug 1 15:02:09 2026 reduce to 44909085 relations and 43439738 ideals in 5 passes
  137. Sat Aug 1 15:02:09 2026 max relations containing the same ideal: 66
  138. Sat Aug 1 15:02:10 2026 trying target density 90
  139. Sat Aug 1 15:02:14 2026 relations with 0 large ideals: 4659
  140. Sat Aug 1 15:02:14 2026 relations with 1 large ideals: 34616
  141. Sat Aug 1 15:02:14 2026 relations with 2 large ideals: 450955
  142. Sat Aug 1 15:02:14 2026 relations with 3 large ideals: 2433803
  143. Sat Aug 1 15:02:14 2026 relations with 4 large ideals: 6962991
  144. Sat Aug 1 15:02:14 2026 relations with 5 large ideals: 11694359
  145. Sat Aug 1 15:02:14 2026 relations with 6 large ideals: 12065914
  146. Sat Aug 1 15:02:14 2026 relations with 7+ large ideals: 11261788
  147. Sat Aug 1 15:02:14 2026 commencing 2-way merge
  148. Sat Aug 1 15:02:37 2026 reduce to 28022863 relation sets and 26553516 unique ideals
  149. Sat Aug 1 15:02:37 2026 commencing full merge
  150. Sat Aug 1 15:09:29 2026 memory use: 3209.8 MB
  151. Sat Aug 1 15:09:31 2026 found 13911601 cycles, need 13717716
  152. Sat Aug 1 15:09:35 2026 weight of 13717716 cycles is about 1234607144 (90.00/cycle)
  153. Sat Aug 1 15:09:35 2026 distribution of cycle lengths:
  154. Sat Aug 1 15:09:35 2026 1 relations: 1168243
  155. Sat Aug 1 15:09:35 2026 2 relations: 1316745
  156. Sat Aug 1 15:09:35 2026 3 relations: 1371427
  157. Sat Aug 1 15:09:35 2026 4 relations: 1298531
  158. Sat Aug 1 15:09:35 2026 5 relations: 1262227
  159. Sat Aug 1 15:09:35 2026 6 relations: 1188304
  160. Sat Aug 1 15:09:35 2026 7 relations: 1095162
  161. Sat Aug 1 15:09:35 2026 8 relations: 977045
  162. Sat Aug 1 15:09:35 2026 9 relations: 854882
  163. Sat Aug 1 15:09:35 2026 10+ relations: 3185150
  164. Sat Aug 1 15:09:35 2026 heaviest cycle: 22 relations
  165. Sat Aug 1 15:09:38 2026 commencing cycle optimization
  166. Sat Aug 1 15:10:00 2026 start with 89991176 relations
  167. Sat Aug 1 15:12:10 2026 pruned 2852705 relations
  168. Sat Aug 1 15:12:11 2026 memory use: 2763.4 MB
  169. Sat Aug 1 15:12:12 2026 distribution of cycle lengths:
  170. Sat Aug 1 15:12:12 2026 1 relations: 1168243
  171. Sat Aug 1 15:12:12 2026 2 relations: 1348880
  172. Sat Aug 1 15:12:12 2026 3 relations: 1425074
  173. Sat Aug 1 15:12:12 2026 4 relations: 1341341
  174. Sat Aug 1 15:12:12 2026 5 relations: 1308935
  175. Sat Aug 1 15:12:12 2026 6 relations: 1224480
  176. Sat Aug 1 15:12:12 2026 7 relations: 1126501
  177. Sat Aug 1 15:12:12 2026 8 relations: 995707
  178. Sat Aug 1 15:12:12 2026 9 relations: 864381
  179. Sat Aug 1 15:12:12 2026 10+ relations: 2914174
  180. Sat Aug 1 15:12:12 2026 heaviest cycle: 22 relations
  181. Sat Aug 1 15:12:34 2026 trying target density 110
  182. Sat Aug 1 15:12:38 2026 relations with 0 large ideals: 4659
  183. Sat Aug 1 15:12:38 2026 relations with 1 large ideals: 34616
  184. Sat Aug 1 15:12:38 2026 relations with 2 large ideals: 450955
  185. Sat Aug 1 15:12:38 2026 relations with 3 large ideals: 2433803
  186. Sat Aug 1 15:12:38 2026 relations with 4 large ideals: 6962991
  187. Sat Aug 1 15:12:38 2026 relations with 5 large ideals: 11694359
  188. Sat Aug 1 15:12:38 2026 relations with 6 large ideals: 12065914
  189. Sat Aug 1 15:12:38 2026 relations with 7+ large ideals: 11261788
  190. Sat Aug 1 15:12:38 2026 commencing 2-way merge
  191. Sat Aug 1 15:12:58 2026 reduce to 28022863 relation sets and 26553516 unique ideals
  192. Sat Aug 1 15:12:58 2026 commencing full merge
  193. Sat Aug 1 15:21:29 2026 memory use: 3292.1 MB
  194. Sat Aug 1 15:21:33 2026 found 12980096 cycles, need 12833716
  195. Sat Aug 1 15:21:37 2026 weight of 12833716 cycles is about 1412167116 (110.04/cycle)
  196. Sat Aug 1 15:21:37 2026 distribution of cycle lengths:
  197. Sat Aug 1 15:21:37 2026 1 relations: 740233
  198. Sat Aug 1 15:21:37 2026 2 relations: 971877
  199. Sat Aug 1 15:21:37 2026 3 relations: 1050523
  200. Sat Aug 1 15:21:37 2026 4 relations: 1032877
  201. Sat Aug 1 15:21:37 2026 5 relations: 1019644
  202. Sat Aug 1 15:21:37 2026 6 relations: 988407
  203. Sat Aug 1 15:21:37 2026 7 relations: 939803
  204. Sat Aug 1 15:21:37 2026 8 relations: 886137
  205. Sat Aug 1 15:21:37 2026 9 relations: 816002
  206. Sat Aug 1 15:21:37 2026 10+ relations: 4388213
  207. Sat Aug 1 15:21:37 2026 heaviest cycle: 27 relations
  208. Sat Aug 1 15:21:39 2026 commencing cycle optimization
  209. Sat Aug 1 15:22:03 2026 start with 102611694 relations
  210. Sat Aug 1 15:25:18 2026 pruned 3990120 relations
  211. Sat Aug 1 15:25:19 2026 memory use: 2896.4 MB
  212. Sat Aug 1 15:25:19 2026 distribution of cycle lengths:
  213. Sat Aug 1 15:25:19 2026 1 relations: 740233
  214. Sat Aug 1 15:25:19 2026 2 relations: 997322
  215. Sat Aug 1 15:25:19 2026 3 relations: 1094832
  216. Sat Aug 1 15:25:19 2026 4 relations: 1071965
  217. Sat Aug 1 15:25:19 2026 5 relations: 1064228
  218. Sat Aug 1 15:25:19 2026 6 relations: 1026884
  219. Sat Aug 1 15:25:19 2026 7 relations: 979121
  220. Sat Aug 1 15:25:19 2026 8 relations: 917061
  221. Sat Aug 1 15:25:19 2026 9 relations: 841008
  222. Sat Aug 1 15:25:19 2026 10+ relations: 4101062
  223. Sat Aug 1 15:25:19 2026 heaviest cycle: 26 relations
  224. Sat Aug 1 15:25:43 2026 trying target density 130
  225. Sat Aug 1 15:25:48 2026 relations with 0 large ideals: 4659
  226. Sat Aug 1 15:25:48 2026 relations with 1 large ideals: 34616
  227. Sat Aug 1 15:25:48 2026 relations with 2 large ideals: 450955
  228. Sat Aug 1 15:25:48 2026 relations with 3 large ideals: 2433803
  229. Sat Aug 1 15:25:48 2026 relations with 4 large ideals: 6962991
  230. Sat Aug 1 15:25:48 2026 relations with 5 large ideals: 11694359
  231. Sat Aug 1 15:25:48 2026 relations with 6 large ideals: 12065914
  232. Sat Aug 1 15:25:48 2026 relations with 7+ large ideals: 11261788
  233. Sat Aug 1 15:25:48 2026 commencing 2-way merge
  234. Sat Aug 1 15:26:12 2026 reduce to 28022863 relation sets and 26553516 unique ideals
  235. Sat Aug 1 15:26:12 2026 commencing full merge
  236. Sat Aug 1 15:37:04 2026 memory use: 3332.3 MB
  237. Sat Aug 1 15:37:07 2026 found 12206612 cycles, need 12183716
  238. Sat Aug 1 15:37:10 2026 weight of 12183716 cycles is about 1584694809 (130.07/cycle)
  239. Sat Aug 1 15:37:10 2026 distribution of cycle lengths:
  240. Sat Aug 1 15:37:10 2026 1 relations: 484904
  241. Sat Aug 1 15:37:10 2026 2 relations: 748551
  242. Sat Aug 1 15:37:10 2026 3 relations: 842365
  243. Sat Aug 1 15:37:10 2026 4 relations: 841640
  244. Sat Aug 1 15:37:10 2026 5 relations: 847681
  245. Sat Aug 1 15:37:10 2026 6 relations: 828054
  246. Sat Aug 1 15:37:10 2026 7 relations: 805463
  247. Sat Aug 1 15:37:10 2026 8 relations: 777174
  248. Sat Aug 1 15:37:10 2026 9 relations: 733153
  249. Sat Aug 1 15:37:10 2026 10+ relations: 5274731
  250. Sat Aug 1 15:37:10 2026 heaviest cycle: 28 relations
  251. Sat Aug 1 15:37:13 2026 commencing cycle optimization
  252. Sat Aug 1 15:37:45 2026 start with 114692529 relations
  253. Sat Aug 1 15:42:45 2026 pruned 5184107 relations
  254. Sat Aug 1 15:42:45 2026 memory use: 3019.2 MB
  255. Sat Aug 1 15:42:45 2026 distribution of cycle lengths:
  256. Sat Aug 1 15:42:45 2026 1 relations: 484904
  257. Sat Aug 1 15:42:45 2026 2 relations: 769013
  258. Sat Aug 1 15:42:45 2026 3 relations: 879364
  259. Sat Aug 1 15:42:45 2026 4 relations: 876152
  260. Sat Aug 1 15:42:45 2026 5 relations: 888083
  261. Sat Aug 1 15:42:45 2026 6 relations: 865185
  262. Sat Aug 1 15:42:45 2026 7 relations: 845126
  263. Sat Aug 1 15:42:45 2026 8 relations: 811380
  264. Sat Aug 1 15:42:45 2026 9 relations: 766609
  265. Sat Aug 1 15:42:45 2026 10+ relations: 4997900
  266. Sat Aug 1 15:42:45 2026 heaviest cycle: 28 relations
  267. Sat Aug 1 15:43:11 2026 RelProcTime: 5209
  268. Sat Aug 1 15:43:11 2026
  269. Sat Aug 1 15:43:11 2026 commencing linear algebra
  270. Sat Aug 1 15:43:11 2026 using VBITS=256
  271. Sat Aug 1 15:43:11 2026 building matrices for all densities
  272. Sat Aug 1 15:43:11 2026 found 3 density files
  273. Sat Aug 1 15:43:11 2026 building matrix for density 90
  274. Sat Aug 1 15:43:12 2026 read 13717716 cycles
  275. Sat Aug 1 15:43:34 2026 cycles contain 43969537 unique relations
  276. Sat Aug 1 15:46:27 2026 read 43969537 relations
  277. Sat Aug 1 15:46:42 2026 using 20 quadratic characters above 4294917295
  278. Sat Aug 1 15:47:08 2026 building initial matrix
  279. Sat Aug 1 15:53:13 2026 memory use: 6093.2 MB
  280. Sat Aug 1 15:53:18 2026 read 13717716 cycles
  281. Sat Aug 1 15:53:19 2026 matrix is 13717538 x 13717716 (5130.6 MB) with weight 1579887926 (115.17/col)
  282. Sat Aug 1 15:53:19 2026 sparse part has weight 1180349185 (86.05/col)
  283. Sat Aug 1 15:54:41 2026 filtering completed in 2 passes
  284. Sat Aug 1 15:54:42 2026 matrix is 13713688 x 13713866 (5130.2 MB) with weight 1579721712 (115.19/col)
  285. Sat Aug 1 15:54:42 2026 sparse part has weight 1180297281 (86.07/col)
  286. Sat Aug 1 15:55:03 2026 building matrix for density 110
  287. Sat Aug 1 15:55:04 2026 read 12833716 cycles
  288. Sat Aug 1 15:55:18 2026 cycles contain 43980312 unique relations
  289. Sat Aug 1 15:56:20 2026 read 43980312 relations
  290. Sat Aug 1 15:56:28 2026 using 20 quadratic characters above 4294917295
  291. Sat Aug 1 15:56:42 2026 building initial matrix
  292. Sat Aug 1 16:03:07 2026 memory use: 6079.3 MB
  293. Sat Aug 1 16:03:11 2026 read 12833716 cycles
  294. Sat Aug 1 16:03:13 2026 matrix is 12833538 x 12833716 (5666.0 MB) with weight 1728214364 (134.66/col)
  295. Sat Aug 1 16:03:13 2026 sparse part has weight 1331298656 (103.73/col)
  296. Sat Aug 1 16:04:40 2026 filtering completed in 2 passes
  297. Sat Aug 1 16:04:43 2026 matrix is 12831990 x 12832168 (5665.8 MB) with weight 1728136787 (134.67/col)
  298. Sat Aug 1 16:04:43 2026 sparse part has weight 1331271595 (103.74/col)
  299. Sat Aug 1 16:05:06 2026 building matrix for density 130
  300. Sat Aug 1 16:05:07 2026 read 12183716 cycles
  301. Sat Aug 1 16:05:22 2026 cycles contain 43980005 unique relations
  302. Sat Aug 1 16:06:22 2026 read 43980005 relations
  303. Sat Aug 1 16:06:34 2026 using 20 quadratic characters above 4294917295
  304. Sat Aug 1 16:06:48 2026 building initial matrix
  305. Sat Aug 1 16:13:53 2026 memory use: 6101.0 MB
  306. Sat Aug 1 16:13:57 2026 read 12183716 cycles
  307. Sat Aug 1 16:13:57 2026 matrix is 12183539 x 12183716 (6183.5 MB) with weight 1869774371 (153.47/col)
  308. Sat Aug 1 16:13:57 2026 sparse part has weight 1474763969 (121.04/col)
  309. Sat Aug 1 16:15:32 2026 filtering completed in 2 passes
  310. Sat Aug 1 16:15:34 2026 matrix is 12183326 x 12183503 (6183.5 MB) with weight 1869764109 (153.47/col)
  311. Sat Aug 1 16:15:34 2026 sparse part has weight 1474761359 (121.05/col)
  312. Sat Aug 1 16:15:58 2026 BLanczosTime: 1967
  313. Sat Aug 1 16:15:58 2026 elapsed time 01:59:36
  314. Sat Aug 1 21:56:23 2026
  315. Sat Aug 1 21:56:23 2026
  316. Sat Aug 1 21:56:23 2026 Msieve v. 1.54 (SVN unknown)
  317. Sat Aug 1 21:56:23 2026 random seeds: d66fe1fe 40959a46
  318. Sat Aug 1 21:56:23 2026 Using 8 OpenMP threads
  319. Sat Aug 1 21:56:23 2026 factoring 113977085018156799419835750326485501127890988009209125150006447434431702188549771363573956677507524129583193459919444066535271037298458605563998187718297960334103561570895993 (174 digits)
  320. Sat Aug 1 21:56:23 2026 no P-1/P+1/ECM available, skipping
  321. Sat Aug 1 21:56:23 2026 commencing number field sieve (174-digit input)
  322. Sat Aug 1 21:56:23 2026 R0: -3269859985407991591408972972983112
  323. Sat Aug 1 21:56:23 2026 R1: 4118954190015258624419
  324. Sat Aug 1 21:56:23 2026 A0: -5201763617730995601740607606537478418295
  325. Sat Aug 1 21:56:23 2026 A1: 18892901379509657686136639609227648
  326. Sat Aug 1 21:56:23 2026 A2: 3490994631570380983358198691
  327. Sat Aug 1 21:56:23 2026 A3: -229430712974656359988
  328. Sat Aug 1 21:56:23 2026 A4: -23657771793696
  329. Sat Aug 1 21:56:23 2026 A5: 914760
  330. Sat Aug 1 21:56:23 2026 skew 11610658.37, size 9.368e-17, alpha -7.244, combined = 2.842e-13 rroots = 5
  331. Sat Aug 1 21:56:23 2026
  332. Sat Aug 1 21:56:23 2026 commencing linear algebra
  333. Sat Aug 1 21:56:23 2026 using VBITS=256
  334. Sat Aug 1 21:56:23 2026 skipping matrix build
  335. Sat Aug 1 21:56:28 2026 matrix starts at (0, 0)
  336. Sat Aug 1 21:56:29 2026 matrix is 12183326 x 12183503 (6183.5 MB) with weight 1869764109 (153.47/col)
  337. Sat Aug 1 21:56:29 2026 sparse part has weight 1474761359 (121.05/col)
  338. Sat Aug 1 21:56:29 2026 saving the first 240 matrix rows for later
  339. Sat Aug 1 21:56:31 2026 matrix includes 256 packed rows
  340. Sat Aug 1 21:56:35 2026 matrix is 12183086 x 12183503 (5582.8 MB) with weight 1351071518 (110.89/col)
  341. Sat Aug 1 21:56:35 2026 sparse part has weight 1268560842 (104.12/col)
  342. Sat Aug 1 21:56:35 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  343. Sat Aug 1 21:56:35 2026 selected card has CUDA arch 12.0
  344. Sat Aug 1 21:56:36 2026 computed block_nnz 163768472 (L2 cache 100663296 bytes, average column weight 104.1)
  345. Sat Aug 1 21:56:36 2026 nonzeros per matrix block: 256000000
  346. Sat Aug 1 21:57:54 2026 commencing Lanczos iteration
  347. Sat Aug 1 21:57:55 2026 memory use: 13164.1 MB
  348. Sat Aug 1 21:58:05 2026 linear algebra at 0.3%, ETA 0h59m
  349. Sat Aug 1 21:58:18 2026 checking every 200000 dimensions, checkpointing every 12600000 dimensions
  350. Sat Aug 1 22:58:38 2026 lanczos halted after 47734 iterations (dim = 12183084)
  351. Sat Aug 1 22:59:18 2026 recovered 27 nontrivial dependencies
  352. Sat Aug 1 22:59:18 2026 BLanczosTime: 3775
  353. Sat Aug 1 22:59:18 2026 elapsed time 01:02:55
  354. Sat Aug 1 20:29:46 2026
  355. Sat Aug 1 20:29:46 2026
  356. Sat Aug 1 20:29:46 2026 Msieve v. 1.54 (SVN unknown)
  357. Sat Aug 1 20:29:46 2026 random seeds: 349b5ff6 da272f18
  358. Sat Aug 1 20:29:46 2026 Using 12 OpenMP threads
  359. Sat Aug 1 20:29:46 2026 factoring 113977085018156799419835750326485501127890988009209125150006447434431702188549771363573956677507524129583193459919444066535271037298458605563998187718297960334103561570895993 (174 digits)
  360. Sat Aug 1 20:29:46 2026 no P-1/P+1/ECM available, skipping
  361. Sat Aug 1 20:29:46 2026 commencing number field sieve (174-digit input)
  362. Sat Aug 1 20:29:47 2026 R0: -3269859985407991591408972972983112
  363. Sat Aug 1 20:29:47 2026 R1: 4118954190015258624419
  364. Sat Aug 1 20:29:47 2026 A0: -5201763617730995601740607606537478418295
  365. Sat Aug 1 20:29:47 2026 A1: 18892901379509657686136639609227648
  366. Sat Aug 1 20:29:47 2026 A2: 3490994631570380983358198691
  367. Sat Aug 1 20:29:47 2026 A3: -229430712974656359988
  368. Sat Aug 1 20:29:47 2026 A4: -23657771793696
  369. Sat Aug 1 20:29:47 2026 A5: 914760
  370. Sat Aug 1 20:29:47 2026 skew 11610658.37, size 9.368e-17, alpha -7.244, combined = 2.842e-13 rroots = 5
  371. Sat Aug 1 20:29:47 2026
  372. Sat Aug 1 20:29:47 2026 commencing square root phase
  373. Sat Aug 1 20:29:47 2026 reading relations for dependency 1
  374. Sat Aug 1 20:29:47 2026 read 6092749 cycles
  375. Sat Aug 1 20:29:56 2026 cycles contain 21992766 unique relations
  376. Sat Aug 1 20:30:57 2026 read 21992766 relations
  377. Sat Aug 1 20:31:57 2026 multiplying 21992766 relations
  378. Sat Aug 1 20:33:58 2026 multiply complete, coefficients have about 1255.81 million bits
  379. Sat Aug 1 20:34:00 2026 initial square root is modulo 429791
  380. Sat Aug 1 20:38:15 2026 sqrtTime: 508
  381. Sat Aug 1 20:38:15 2026 p85 factor: 5238865169683625515262162170585377365008929613356977719476138175073434930916376386593
  382. Sat Aug 1 20:38:15 2026 p89 factor: 21756063828044626486036646877756640475235290557580036193408942266041718408133480117395801
  383. Sat Aug 1 20:38:15 2026 elapsed time 00:08:29
  384.  
Tags: math
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