kyleaskine

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Apr 19th, 2026
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  1. Sat Apr 18 18:08:16 2026
  2. Sat Apr 18 18:08:16 2026
  3. Sat Apr 18 18:08:16 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Apr 18 18:08:16 2026 random seeds: 8d4a594a 541f1530
  5. Sat Apr 18 18:08:16 2026 Using 8 OpenMP threads
  6. Sat Apr 18 18:08:16 2026 factoring 18226375610219110369190763781590656801728452790481387770106615098885456811073688212035737549203746414066199159726676195018467144613445750826290284079271446694413080331446482973386699425076854701299611402887449286819361 (218 digits)
  7. Sat Apr 18 18:08:17 2026 no P-1/P+1/ECM available, skipping
  8. Sat Apr 18 18:08:17 2026 commencing number field sieve (218-digit input)
  9. Sat Apr 18 18:08:17 2026 R0: 18766449366441500674167342614624137968232611150428317561
  10. Sat Apr 18 18:08:17 2026 R1: -1
  11. Sat Apr 18 18:08:17 2026 A0: 1
  12. Sat Apr 18 18:08:17 2026 A1: 1
  13. Sat Apr 18 18:08:17 2026 A2: 1
  14. Sat Apr 18 18:08:17 2026 A3: 1
  15. Sat Apr 18 18:08:17 2026 A4: 1
  16. Sat Apr 18 18:08:17 2026 skew 1.96, size 1.591e-22, alpha 1.694, combined = 2.010e-13 rroots = 0
  17. Sat Apr 18 18:08:17 2026
  18. Sat Apr 18 18:08:17 2026 commencing relation filtering
  19. Sat Apr 18 18:08:17 2026 setting 3 target densities:Sat Apr 18 18:08:17 2026 90Sat Apr 18 18:08:17 2026 110Sat Apr 18 18:08:17 2026 130Sat Apr 18 18:08:17 2026
  20. Sat Apr 18 18:08:17 2026 estimated available RAM is 78540.1 MB
  21. Sat Apr 18 18:08:17 2026 commencing duplicate removal, pass 1
  22. Sat Apr 18 18:09:05 2026 error -11 reading relation 36429880
  23. Sat Apr 18 18:10:15 2026 error -1 reading relation 100541847
  24. Sat Apr 18 18:12:00 2026 error -1 reading relation 188937257
  25. Sat Apr 18 18:12:31 2026 error -1 reading relation 210720532
  26. Sat Apr 18 18:12:31 2026 error -1 reading relation 210760909
  27. Sat Apr 18 18:12:35 2026 error -1 reading relation 212395129
  28. Sat Apr 18 18:12:54 2026 error -1 reading relation 225593067
  29. Sat Apr 18 18:13:19 2026 error -1 reading relation 243490941
  30. Sat Apr 18 18:13:35 2026 error -1 reading relation 253007174
  31. Sat Apr 18 18:13:44 2026 error -1 reading relation 258582461
  32. Sat Apr 18 18:13:48 2026 error -1 reading relation 262859506
  33. Sat Apr 18 18:13:59 2026 error -1 reading relation 270077594
  34. Sat Apr 18 18:14:02 2026 error -1 reading relation 271873906
  35. Sat Apr 18 18:14:08 2026 error -1 reading relation 275240947
  36. Sat Apr 18 18:14:19 2026 error -1 reading relation 283922780
  37. Sat Apr 18 18:14:23 2026 error -1 reading relation 286993883
  38. Sat Apr 18 18:14:42 2026 error -1 reading relation 300306449
  39. Sat Apr 18 18:15:11 2026 error -1 reading relation 319697236
  40. Sat Apr 18 18:15:17 2026 error -1 reading relation 323053523
  41. Sat Apr 18 18:15:45 2026 error -1 reading relation 340835798
  42. Sat Apr 18 18:15:46 2026 error -1 reading relation 341819894
  43. Sat Apr 18 18:15:45 2026 error -1 reading relation 342870137
  44. Sat Apr 18 18:15:45 2026 error -1 reading relation 342974273
  45. Sat Apr 18 18:15:52 2026 error -1 reading relation 347176536
  46. Sat Apr 18 18:15:54 2026 error -1 reading relation 348260471
  47. Sat Apr 18 18:15:55 2026 error -1 reading relation 349211909
  48. Sat Apr 18 18:16:15 2026 error -1 reading relation 361647513
  49. Sat Apr 18 18:16:19 2026 skipped 447 relations with b > 2^32
  50. Sat Apr 18 18:16:19 2026 skipped 264 malformed relations
  51. Sat Apr 18 18:16:19 2026 found 72644330 hash collisions in 367662263 relations
  52. Sat Apr 18 18:16:19 2026 commencing duplicate removal, pass 2
  53. Sat Apr 18 18:18:33 2026 found 76488278 duplicates and 291173985 unique relations
  54. Sat Apr 18 18:18:33 2026 memory use: 1705.5 MB
  55. Sat Apr 18 18:18:33 2026 reading ideals above 164954112
  56. Sat Apr 18 18:18:33 2026 commencing singleton removal, initial pass
  57. Sat Apr 18 18:24:56 2026 memory use: 6024.0 MB
  58. Sat Apr 18 18:24:57 2026 reading all ideals from disk
  59. Sat Apr 18 18:24:59 2026 memory use: 7485.6 MB
  60. Sat Apr 18 18:25:09 2026 commencing in-memory singleton removal
  61. Sat Apr 18 18:25:08 2026 begin with 291173985 relations and 236415878 unique ideals
  62. Sat Apr 18 18:25:25 2026 reduce to 195966321 relations and 132262639 ideals in 14 passes
  63. Sat Apr 18 18:25:25 2026 max relations containing the same ideal: 59
  64. Sat Apr 18 18:25:30 2026 reading ideals above 720000
  65. Sat Apr 18 18:25:30 2026 commencing singleton removal, initial pass
  66. Sat Apr 18 18:34:29 2026 memory use: 3012.0 MB
  67. Sat Apr 18 18:34:29 2026 reading all ideals from disk
  68. Sat Apr 18 18:34:31 2026 memory use: 9179.1 MB
  69. Sat Apr 18 18:34:42 2026 keeping 149780524 ideals with weight <= 200, target excess is 954334
  70. Sat Apr 18 18:34:57 2026 commencing in-memory singleton removal
  71. Sat Apr 18 18:34:59 2026 begin with 195966321 relations and 149780524 unique ideals
  72. Sat Apr 18 18:35:03 2026 reduce to 195965494 relations and 149779697 ideals in 4 passes
  73. Sat Apr 18 18:35:03 2026 max relations containing the same ideal: 200
  74. Sat Apr 18 18:35:48 2026 removing 11023993 relations and 9023993 ideals in 2000000 cliques
  75. Sat Apr 18 18:35:52 2026 commencing in-memory singleton removal
  76. Sat Apr 18 18:35:54 2026 begin with 184941501 relations and 149779697 unique ideals
  77. Sat Apr 18 18:36:04 2026 reduce to 184466243 relations and 140274041 ideals in 8 passes
  78. Sat Apr 18 18:36:04 2026 max relations containing the same ideal: 199
  79. Sat Apr 18 18:36:47 2026 removing 8393280 relations and 6393280 ideals in 2000000 cliques
  80. Sat Apr 18 18:36:50 2026 commencing in-memory singleton removal
  81. Sat Apr 18 18:36:53 2026 begin with 176072963 relations and 140274041 unique ideals
  82. Sat Apr 18 18:37:00 2026 reduce to 175759138 relations and 133563199 ideals in 7 passes
  83. Sat Apr 18 18:37:00 2026 max relations containing the same ideal: 196
  84. Sat Apr 18 18:37:41 2026 removing 7588494 relations and 5588494 ideals in 2000000 cliques
  85. Sat Apr 18 18:37:44 2026 commencing in-memory singleton removal
  86. Sat Apr 18 18:37:46 2026 begin with 168170644 relations and 133563199 unique ideals
  87. Sat Apr 18 18:37:57 2026 reduce to 167899698 relations and 127700639 ideals in 8 passes
  88. Sat Apr 18 18:37:57 2026 max relations containing the same ideal: 191
  89. Sat Apr 18 18:38:32 2026 removing 7159193 relations and 5159193 ideals in 2000000 cliques
  90. Sat Apr 18 18:38:35 2026 commencing in-memory singleton removal
  91. Sat Apr 18 18:38:37 2026 begin with 160740505 relations and 127700639 unique ideals
  92. Sat Apr 18 18:38:45 2026 reduce to 160489874 relations and 122287859 ideals in 6 passes
  93. Sat Apr 18 18:38:45 2026 max relations containing the same ideal: 188
  94. Sat Apr 18 18:39:22 2026 removing 6885955 relations and 4885955 ideals in 2000000 cliques
  95. Sat Apr 18 18:39:25 2026 commencing in-memory singleton removal
  96. Sat Apr 18 18:39:27 2026 begin with 153603919 relations and 122287859 unique ideals
  97. Sat Apr 18 18:39:32 2026 reduce to 153368263 relations and 117163433 ideals in 6 passes
  98. Sat Apr 18 18:39:32 2026 max relations containing the same ideal: 180
  99. Sat Apr 18 18:40:07 2026 removing 6689980 relations and 4689980 ideals in 2000000 cliques
  100. Sat Apr 18 18:40:09 2026 commencing in-memory singleton removal
  101. Sat Apr 18 18:40:11 2026 begin with 146678283 relations and 117163433 unique ideals
  102. Sat Apr 18 18:40:20 2026 reduce to 146447572 relations and 112239945 ideals in 7 passes
  103. Sat Apr 18 18:40:20 2026 max relations containing the same ideal: 176
  104. Sat Apr 18 18:40:54 2026 removing 6543028 relations and 4543028 ideals in 2000000 cliques
  105. Sat Apr 18 18:40:56 2026 commencing in-memory singleton removal
  106. Sat Apr 18 18:40:55 2026 begin with 139904544 relations and 112239945 unique ideals
  107. Sat Apr 18 18:41:02 2026 reduce to 139676840 relations and 107466201 ideals in 6 passes
  108. Sat Apr 18 18:41:02 2026 max relations containing the same ideal: 171
  109. Sat Apr 18 18:41:33 2026 removing 6433169 relations and 4433169 ideals in 2000000 cliques
  110. Sat Apr 18 18:41:36 2026 commencing in-memory singleton removal
  111. Sat Apr 18 18:41:37 2026 begin with 133243671 relations and 107466201 unique ideals
  112. Sat Apr 18 18:41:44 2026 reduce to 133016569 relations and 102802863 ideals in 6 passes
  113. Sat Apr 18 18:41:44 2026 max relations containing the same ideal: 166
  114. Sat Apr 18 18:42:13 2026 removing 6349164 relations and 4349164 ideals in 2000000 cliques
  115. Sat Apr 18 18:42:16 2026 commencing in-memory singleton removal
  116. Sat Apr 18 18:42:17 2026 begin with 126667405 relations and 102802863 unique ideals
  117. Sat Apr 18 18:42:23 2026 reduce to 126439066 relations and 98222108 ideals in 6 passes
  118. Sat Apr 18 18:42:23 2026 max relations containing the same ideal: 162
  119. Sat Apr 18 18:42:50 2026 removing 6284288 relations and 4284288 ideals in 2000000 cliques
  120. Sat Apr 18 18:42:52 2026 commencing in-memory singleton removal
  121. Sat Apr 18 18:42:54 2026 begin with 120154778 relations and 98222108 unique ideals
  122. Sat Apr 18 18:42:57 2026 reduce to 119922579 relations and 93702135 ideals in 7 passes
  123. Sat Apr 18 18:42:57 2026 max relations containing the same ideal: 157
  124. Sat Apr 18 18:43:22 2026 removing 6232931 relations and 4232931 ideals in 2000000 cliques
  125. Sat Apr 18 18:43:24 2026 commencing in-memory singleton removal
  126. Sat Apr 18 18:43:26 2026 begin with 113689648 relations and 93702135 unique ideals
  127. Sat Apr 18 18:43:31 2026 reduce to 113448969 relations and 89224711 ideals in 6 passes
  128. Sat Apr 18 18:43:31 2026 max relations containing the same ideal: 150
  129. Sat Apr 18 18:43:56 2026 removing 6198045 relations and 4198045 ideals in 2000000 cliques
  130. Sat Apr 18 18:43:57 2026 commencing in-memory singleton removal
  131. Sat Apr 18 18:43:59 2026 begin with 107250924 relations and 89224711 unique ideals
  132. Sat Apr 18 18:44:04 2026 reduce to 107002955 relations and 84774608 ideals in 7 passes
  133. Sat Apr 18 18:44:04 2026 max relations containing the same ideal: 144
  134. Sat Apr 18 18:44:27 2026 removing 6176718 relations and 4176718 ideals in 2000000 cliques
  135. Sat Apr 18 18:44:29 2026 commencing in-memory singleton removal
  136. Sat Apr 18 18:44:30 2026 begin with 100826237 relations and 84774608 unique ideals
  137. Sat Apr 18 18:44:35 2026 reduce to 100566591 relations and 80333670 ideals in 7 passes
  138. Sat Apr 18 18:44:35 2026 max relations containing the same ideal: 139
  139. Sat Apr 18 18:44:57 2026 removing 6166341 relations and 4166341 ideals in 2000000 cliques
  140. Sat Apr 18 18:44:59 2026 commencing in-memory singleton removal
  141. Sat Apr 18 18:45:00 2026 begin with 94400250 relations and 80333670 unique ideals
  142. Sat Apr 18 18:45:04 2026 reduce to 94126437 relations and 75888512 ideals in 6 passes
  143. Sat Apr 18 18:45:04 2026 max relations containing the same ideal: 132
  144. Sat Apr 18 18:45:25 2026 removing 6166850 relations and 4166850 ideals in 2000000 cliques
  145. Sat Apr 18 18:45:27 2026 commencing in-memory singleton removal
  146. Sat Apr 18 18:45:28 2026 begin with 87959587 relations and 75888512 unique ideals
  147. Sat Apr 18 18:45:32 2026 reduce to 87669547 relations and 71425818 ideals in 6 passes
  148. Sat Apr 18 18:45:32 2026 max relations containing the same ideal: 129
  149. Sat Apr 18 18:45:51 2026 removing 6179115 relations and 4179115 ideals in 2000000 cliques
  150. Sat Apr 18 18:45:53 2026 commencing in-memory singleton removal
  151. Sat Apr 18 18:45:54 2026 begin with 81490432 relations and 71425818 unique ideals
  152. Sat Apr 18 18:45:58 2026 reduce to 81178261 relations and 66927958 ideals in 7 passes
  153. Sat Apr 18 18:45:58 2026 max relations containing the same ideal: 121
  154. Sat Apr 18 18:46:18 2026 removing 6208438 relations and 4208438 ideals in 2000000 cliques
  155. Sat Apr 18 18:46:20 2026 commencing in-memory singleton removal
  156. Sat Apr 18 18:46:20 2026 begin with 74969823 relations and 66927958 unique ideals
  157. Sat Apr 18 18:46:22 2026 reduce to 74631967 relations and 62374170 ideals in 7 passes
  158. Sat Apr 18 18:46:22 2026 max relations containing the same ideal: 113
  159. Sat Apr 18 18:46:41 2026 removing 6244927 relations and 4244927 ideals in 2000000 cliques
  160. Sat Apr 18 18:46:42 2026 commencing in-memory singleton removal
  161. Sat Apr 18 18:46:43 2026 begin with 68387040 relations and 62374170 unique ideals
  162. Sat Apr 18 18:46:47 2026 reduce to 68014654 relations and 57747922 ideals in 7 passes
  163. Sat Apr 18 18:46:47 2026 max relations containing the same ideal: 105
  164. Sat Apr 18 18:47:01 2026 removing 6297922 relations and 4297922 ideals in 2000000 cliques
  165. Sat Apr 18 18:47:03 2026 commencing in-memory singleton removal
  166. Sat Apr 18 18:47:03 2026 begin with 61716732 relations and 57747922 unique ideals
  167. Sat Apr 18 18:47:07 2026 reduce to 61301353 relations and 53023764 ideals in 7 passes
  168. Sat Apr 18 18:47:07 2026 max relations containing the same ideal: 99
  169. Sat Apr 18 18:47:20 2026 removing 6374036 relations and 4374036 ideals in 2000000 cliques
  170. Sat Apr 18 18:47:21 2026 commencing in-memory singleton removal
  171. Sat Apr 18 18:47:22 2026 begin with 54927317 relations and 53023764 unique ideals
  172. Sat Apr 18 18:47:25 2026 reduce to 54456261 relations and 48165445 ideals in 7 passes
  173. Sat Apr 18 18:47:25 2026 max relations containing the same ideal: 96
  174. Sat Apr 18 18:47:40 2026 removing 6464895 relations and 4464895 ideals in 2000000 cliques
  175. Sat Apr 18 18:47:41 2026 commencing in-memory singleton removal
  176. Sat Apr 18 18:47:42 2026 begin with 47991366 relations and 48165445 unique ideals
  177. Sat Apr 18 18:47:44 2026 reduce to 47444819 relations and 43136737 ideals in 8 passes
  178. Sat Apr 18 18:47:44 2026 max relations containing the same ideal: 85
  179. Sat Apr 18 18:47:55 2026 removing 6577842 relations and 4577842 ideals in 2000000 cliques
  180. Sat Apr 18 18:47:56 2026 commencing in-memory singleton removal
  181. Sat Apr 18 18:47:56 2026 begin with 40866977 relations and 43136737 unique ideals
  182. Sat Apr 18 18:47:59 2026 reduce to 40212870 relations and 37881127 ideals in 8 passes
  183. Sat Apr 18 18:47:59 2026 max relations containing the same ideal: 73
  184. Sat Apr 18 18:48:10 2026 removing 4531855 relations and 3307140 ideals in 1224715 cliques
  185. Sat Apr 18 18:48:11 2026 commencing in-memory singleton removal
  186. Sat Apr 18 18:48:11 2026 begin with 35681015 relations and 37881127 unique ideals
  187. Sat Apr 18 18:48:14 2026 reduce to 35308908 relations and 34191887 ideals in 8 passes
  188. Sat Apr 18 18:48:14 2026 max relations containing the same ideal: 70
  189. Sat Apr 18 18:48:22 2026 removing 76455 relations and 66462 ideals in 9993 cliques
  190. Sat Apr 18 18:48:22 2026 commencing in-memory singleton removal
  191. Sat Apr 18 18:48:22 2026 begin with 35232453 relations and 34191887 unique ideals
  192. Sat Apr 18 18:48:24 2026 reduce to 35232362 relations and 34125334 ideals in 4 passes
  193. Sat Apr 18 18:48:24 2026 max relations containing the same ideal: 70
  194. Sat Apr 18 18:48:24 2026 trying target density 90
  195. Sat Apr 18 18:48:27 2026 relations with 0 large ideals: 78288
  196. Sat Apr 18 18:48:27 2026 relations with 1 large ideals: 21621
  197. Sat Apr 18 18:48:27 2026 relations with 2 large ideals: 260391
  198. Sat Apr 18 18:48:27 2026 relations with 3 large ideals: 1505168
  199. Sat Apr 18 18:48:27 2026 relations with 4 large ideals: 4691569
  200. Sat Apr 18 18:48:27 2026 relations with 5 large ideals: 9650855
  201. Sat Apr 18 18:48:27 2026 relations with 6 large ideals: 9244253
  202. Sat Apr 18 18:48:27 2026 relations with 7+ large ideals: 9780217
  203. Sat Apr 18 18:48:27 2026 commencing 2-way merge
  204. Sat Apr 18 18:48:41 2026 reduce to 22765264 relation sets and 21658236 unique ideals
  205. Sat Apr 18 18:48:41 2026 commencing full merge
  206. Sat Apr 18 18:53:16 2026 memory use: 2649.4 MB
  207. Sat Apr 18 18:53:18 2026 found 11130359 cycles, need 10994436
  208. Sat Apr 18 18:53:21 2026 weight of 10994436 cycles is about 989832898 (90.03/cycle)
  209. Sat Apr 18 18:53:21 2026 distribution of cycle lengths:
  210. Sat Apr 18 18:53:21 2026 1 relations: 744615
  211. Sat Apr 18 18:53:21 2026 2 relations: 872979
  212. Sat Apr 18 18:53:21 2026 3 relations: 945613
  213. Sat Apr 18 18:53:21 2026 4 relations: 950810
  214. Sat Apr 18 18:53:21 2026 5 relations: 947310
  215. Sat Apr 18 18:53:21 2026 6 relations: 923404
  216. Sat Apr 18 18:53:21 2026 7 relations: 880991
  217. Sat Apr 18 18:53:21 2026 8 relations: 814406
  218. Sat Apr 18 18:53:21 2026 9 relations: 731895
  219. Sat Apr 18 18:53:21 2026 10+ relations: 3182413
  220. Sat Apr 18 18:53:21 2026 heaviest cycle: 27 relations
  221. Sat Apr 18 18:53:23 2026 commencing cycle optimization
  222. Sat Apr 18 18:53:39 2026 start with 80378211 relations
  223. Sat Apr 18 18:55:23 2026 pruned 3018486 relations
  224. Sat Apr 18 18:55:23 2026 memory use: 2284.8 MB
  225. Sat Apr 18 18:55:23 2026 distribution of cycle lengths:
  226. Sat Apr 18 18:55:23 2026 1 relations: 744615
  227. Sat Apr 18 18:55:23 2026 2 relations: 889991
  228. Sat Apr 18 18:55:23 2026 3 relations: 981230
  229. Sat Apr 18 18:55:23 2026 4 relations: 986672
  230. Sat Apr 18 18:55:23 2026 5 relations: 990258
  231. Sat Apr 18 18:55:23 2026 6 relations: 962213
  232. Sat Apr 18 18:55:23 2026 7 relations: 919914
  233. Sat Apr 18 18:55:23 2026 8 relations: 843618
  234. Sat Apr 18 18:55:24 2026 9 relations: 754031
  235. Sat Apr 18 18:55:24 2026 10+ relations: 2921894
  236. Sat Apr 18 18:55:24 2026 heaviest cycle: 27 relations
  237. Sat Apr 18 18:55:38 2026 trying target density 110
  238. Sat Apr 18 18:55:40 2026 relations with 0 large ideals: 78288
  239. Sat Apr 18 18:55:40 2026 relations with 1 large ideals: 21621
  240. Sat Apr 18 18:55:40 2026 relations with 2 large ideals: 260391
  241. Sat Apr 18 18:55:40 2026 relations with 3 large ideals: 1505168
  242. Sat Apr 18 18:55:40 2026 relations with 4 large ideals: 4691569
  243. Sat Apr 18 18:55:40 2026 relations with 5 large ideals: 9650855
  244. Sat Apr 18 18:55:40 2026 relations with 6 large ideals: 9244253
  245. Sat Apr 18 18:55:40 2026 relations with 7+ large ideals: 9780217
  246. Sat Apr 18 18:55:40 2026 commencing 2-way merge
  247. Sat Apr 18 18:55:53 2026 reduce to 22765264 relation sets and 21658236 unique ideals
  248. Sat Apr 18 18:55:53 2026 commencing full merge
  249. Sat Apr 18 19:01:35 2026 memory use: 2694.4 MB
  250. Sat Apr 18 19:01:37 2026 found 10378129 cycles, need 10312436
  251. Sat Apr 18 19:01:40 2026 weight of 10312436 cycles is about 1134759475 (110.04/cycle)
  252. Sat Apr 18 19:01:40 2026 distribution of cycle lengths:
  253. Sat Apr 18 19:01:40 2026 1 relations: 485091
  254. Sat Apr 18 19:01:40 2026 2 relations: 613442
  255. Sat Apr 18 19:01:40 2026 3 relations: 697928
  256. Sat Apr 18 19:01:40 2026 4 relations: 725491
  257. Sat Apr 18 19:01:40 2026 5 relations: 740440
  258. Sat Apr 18 19:01:40 2026 6 relations: 740528
  259. Sat Apr 18 19:01:40 2026 7 relations: 728619
  260. Sat Apr 18 19:01:40 2026 8 relations: 702619
  261. Sat Apr 18 19:01:40 2026 9 relations: 665479
  262. Sat Apr 18 19:01:40 2026 10+ relations: 4212799
  263. Sat Apr 18 19:01:40 2026 heaviest cycle: 28 relations
  264. Sat Apr 18 19:01:41 2026 commencing cycle optimization
  265. Sat Apr 18 19:01:59 2026 start with 92301415 relations
  266. Sat Apr 18 19:04:35 2026 pruned 4227647 relations
  267. Sat Apr 18 19:04:35 2026 memory use: 2405.4 MB
  268. Sat Apr 18 19:04:35 2026 distribution of cycle lengths:
  269. Sat Apr 18 19:04:35 2026 1 relations: 485091
  270. Sat Apr 18 19:04:35 2026 2 relations: 626354
  271. Sat Apr 18 19:04:35 2026 3 relations: 725908
  272. Sat Apr 18 19:04:35 2026 4 relations: 755576
  273. Sat Apr 18 19:04:35 2026 5 relations: 777444
  274. Sat Apr 18 19:04:35 2026 6 relations: 776895
  275. Sat Apr 18 19:04:35 2026 7 relations: 767981
  276. Sat Apr 18 19:04:35 2026 8 relations: 738198
  277. Sat Apr 18 19:04:35 2026 9 relations: 699717
  278. Sat Apr 18 19:04:35 2026 10+ relations: 3959272
  279. Sat Apr 18 19:04:35 2026 heaviest cycle: 28 relations
  280. Sat Apr 18 19:04:50 2026 trying target density 130
  281. Sat Apr 18 19:04:52 2026 relations with 0 large ideals: 78288
  282. Sat Apr 18 19:04:52 2026 relations with 1 large ideals: 21621
  283. Sat Apr 18 19:04:52 2026 relations with 2 large ideals: 260391
  284. Sat Apr 18 19:04:52 2026 relations with 3 large ideals: 1505168
  285. Sat Apr 18 19:04:52 2026 relations with 4 large ideals: 4691569
  286. Sat Apr 18 19:04:52 2026 relations with 5 large ideals: 9650855
  287. Sat Apr 18 19:04:52 2026 relations with 6 large ideals: 9244253
  288. Sat Apr 18 19:04:52 2026 relations with 7+ large ideals: 9780217
  289. Sat Apr 18 19:04:52 2026 commencing 2-way merge
  290. Sat Apr 18 19:05:04 2026 reduce to 22765264 relation sets and 21658236 unique ideals
  291. Sat Apr 18 19:05:04 2026 commencing full merge
  292. Sat Apr 18 19:15:43 2026 memory use: 1010.3 MB
  293. Sat Apr 18 19:15:43 2026 found 131592 cycles, need 5069034
  294. Sat Apr 18 19:15:43 2026 too few cycles, matrix probably cannot build
  295. Sat Apr 18 19:15:45 2026 RelProcTime: 4048
  296. Sat Apr 18 19:15:45 2026
  297. Sat Apr 18 19:15:45 2026 commencing linear algebra
  298. Sat Apr 18 19:15:45 2026 using VBITS=256
  299. Sat Apr 18 19:15:45 2026 building matrices for all densities
  300. Sat Apr 18 19:15:45 2026 found 2 density files
  301. Sat Apr 18 19:15:45 2026 building matrix for density 90
  302. Sat Apr 18 19:15:46 2026 read 10994436 cycles
  303. Sat Apr 18 19:15:56 2026 cycles contain 34616312 unique relations
  304. Sat Apr 18 19:17:29 2026 read 34616312 relations
  305. Sat Apr 18 19:17:38 2026 using 20 quadratic characters above 4294917295
  306. Sat Apr 18 19:17:47 2026 building initial matrix
  307. Sat Apr 18 19:22:21 2026 memory use: 4356.1 MB
  308. Sat Apr 18 19:22:26 2026 read 10994436 cycles
  309. Sat Apr 18 19:22:27 2026 matrix is 10994258 x 10994436 (4063.9 MB) with weight 1172516815 (106.65/col)
  310. Sat Apr 18 19:22:27 2026 sparse part has weight 944388211 (85.90/col)
  311. Sat Apr 18 19:23:41 2026 filtering completed in 2 passes
  312. Sat Apr 18 19:23:43 2026 matrix is 10992900 x 10993061 (4063.8 MB) with weight 1172471074 (106.66/col)
  313. Sat Apr 18 19:23:43 2026 sparse part has weight 944370666 (85.91/col)
  314. Sat Apr 18 19:24:01 2026 building matrix for density 110
  315. Sat Apr 18 19:24:02 2026 read 10312436 cycles
  316. Sat Apr 18 19:24:13 2026 cycles contain 34622543 unique relations
  317. Sat Apr 18 19:24:39 2026 read 34622543 relations
  318. Sat Apr 18 19:24:48 2026 using 20 quadratic characters above 4294917295
  319. Sat Apr 18 19:25:00 2026 building initial matrix
  320. Sat Apr 18 19:30:01 2026 memory use: 4376.8 MB
  321. Sat Apr 18 19:30:04 2026 read 10312436 cycles
  322. Sat Apr 18 19:30:03 2026 matrix is 10312259 x 10312436 (4505.3 MB) with weight 1292770371 (125.36/col)
  323. Sat Apr 18 19:30:03 2026 sparse part has weight 1067600754 (103.53/col)
  324. Sat Apr 18 19:31:14 2026 filtering completed in 2 passes
  325. Sat Apr 18 19:31:16 2026 matrix is 10311855 x 10312014 (4505.3 MB) with weight 1292755214 (125.36/col)
  326. Sat Apr 18 19:31:16 2026 sparse part has weight 1067594639 (103.53/col)
  327. Sat Apr 18 19:31:32 2026 BLanczosTime: 947
  328. Sat Apr 18 19:31:32 2026 elapsed time 01:23:16
  329. Sat Apr 18 21:11:04 2026
  330. Sat Apr 18 21:11:04 2026
  331. Sat Apr 18 21:11:04 2026 Msieve v. 1.54 (SVN unknown)
  332. Sat Apr 18 21:11:04 2026 random seeds: 7956d1d4 e7563410
  333. Sat Apr 18 21:11:04 2026 Using 8 OpenMP threads
  334. Sat Apr 18 21:11:04 2026 factoring 18226375610219110369190763781590656801728452790481387770106615098885456811073688212035737549203746414066199159726676195018467144613445750826290284079271446694413080331446482973386699425076854701299611402887449286819361 (218 digits)
  335. Sat Apr 18 21:11:05 2026 no P-1/P+1/ECM available, skipping
  336. Sat Apr 18 21:11:05 2026 commencing number field sieve (218-digit input)
  337. Sat Apr 18 21:11:05 2026 R0: 18766449366441500674167342614624137968232611150428317561
  338. Sat Apr 18 21:11:05 2026 R1: -1
  339. Sat Apr 18 21:11:05 2026 A0: 1
  340. Sat Apr 18 21:11:05 2026 A1: 1
  341. Sat Apr 18 21:11:05 2026 A2: 1
  342. Sat Apr 18 21:11:05 2026 A3: 1
  343. Sat Apr 18 21:11:05 2026 A4: 1
  344. Sat Apr 18 21:11:05 2026 skew 1.96, size 1.591e-22, alpha 1.694, combined = 2.010e-13 rroots = 0
  345. Sat Apr 18 21:11:05 2026
  346. Sat Apr 18 21:11:05 2026 commencing linear algebra
  347. Sat Apr 18 21:11:05 2026 using VBITS=256
  348. Sat Apr 18 21:11:05 2026 selecting density 110 for linear algebra
  349. Sat Apr 18 21:11:45 2026 matrix starts at (0, 0)
  350. Sat Apr 18 21:11:46 2026 matrix is 10311855 x 10312014 (4505.3 MB) with weight 1292755214 (125.36/col)
  351. Sat Apr 18 21:11:46 2026 sparse part has weight 1067594639 (103.53/col)
  352. Sat Apr 18 21:11:46 2026 saving the first 240 matrix rows for later
  353. Sat Apr 18 21:11:48 2026 matrix includes 256 packed rows
  354. Sat Apr 18 21:11:50 2026 matrix is 10311615 x 10312014 (4145.3 MB) with weight 972089616 (94.27/col)
  355. Sat Apr 18 21:11:50 2026 sparse part has weight 921668976 (89.38/col)
  356. Sat Apr 18 21:11:50 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  357. Sat Apr 18 21:11:50 2026 selected card has CUDA arch 12.0
  358. Sat Apr 18 21:13:40 2026 commencing Lanczos iteration
  359. Sat Apr 18 21:13:38 2026 memory use: 9628.0 MB
  360. Sat Apr 18 21:14:08 2026 linear algebra at 0.3%, ETA 2h47m
  361. Sat Apr 18 21:14:55 2026 checking every 50000 dimensions, checkpointing every 3600000 dimensions
  362. Sun Apr 19 00:04:56 2026 lanczos halted after 40401 iterations (dim = 10311613)
  363. Sun Apr 19 00:05:53 2026 recovered 35 nontrivial dependencies
  364. Sun Apr 19 00:05:55 2026 BLanczosTime: 10490
  365. Sun Apr 19 00:05:55 2026
  366. Sun Apr 19 00:05:55 2026 commencing square root phase
  367. Sun Apr 19 00:05:55 2026 handling dependencies 1 to 64
  368. Sun Apr 19 00:05:55 2026 reading relations for dependency 1
  369. Sun Apr 19 00:06:28 2026 read 5156390 cycles
  370. Sun Apr 19 00:06:40 2026 cycles contain 17314152 unique relations
  371. Sun Apr 19 00:13:27 2026 read 17314152 relations
  372. Sun Apr 19 00:14:49 2026 multiplying 17314152 relations
  373. Sun Apr 19 00:15:43 2026 multiply complete, coefficients have about 443.99 million bits
  374. Sun Apr 19 00:15:44 2026 initial square root is modulo 92610307
  375. Sun Apr 19 00:17:40 2026 sqrtTime: 705
  376. Sun Apr 19 00:17:40 2026 p101 factor: 32318474974062323875053644093368853903644733760721669075447662659173698343871754988847992494196789961
  377. Sun Apr 19 00:17:40 2026 p117 factor: 563961499570971745789419277118212489741507943977895242159722039542826841838657380565609574386955404449976852337845401
  378. Sun Apr 19 00:17:40 2026 elapsed time 03:06:36
  379.  
Tags: math
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