kyleaskine

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Aug 20th, 2026
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  1. Thu Aug 20 18:46:05 2026
  2. Thu Aug 20 18:46:05 2026
  3. Thu Aug 20 18:46:05 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 20 18:46:05 2026 random seeds: d774ff39 d04ea458
  5. Thu Aug 20 18:46:05 2026 Using 8 OpenMP threads
  6. Thu Aug 20 18:46:05 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits)
  7. Thu Aug 20 18:46:05 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 20 18:46:05 2026 commencing number field sieve (179-digit input)
  9. Thu Aug 20 18:46:05 2026 R0: -50203987703899500796847708777087631
  10. Thu Aug 20 18:46:05 2026 R1: 33675820740803577891551
  11. Thu Aug 20 18:46:05 2026 A0: -126937159154788355666792527285549879435422
  12. Thu Aug 20 18:46:05 2026 A1: 30903758391122110461571619680093981
  13. Thu Aug 20 18:46:05 2026 A2: 11273845161506249943705184680
  14. Thu Aug 20 18:46:05 2026 A3: -888438661727435594779
  15. Thu Aug 20 18:46:05 2026 A4: -117305807718648
  16. Thu Aug 20 18:46:05 2026 A5: 1995840
  17. Thu Aug 20 18:46:05 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5
  18. Thu Aug 20 18:46:05 2026
  19. Thu Aug 20 18:46:05 2026 commencing relation filtering
  20. Thu Aug 20 18:46:05 2026 setting 3 target densities:Thu Aug 20 18:46:05 2026 90Thu Aug 20 18:46:05 2026 110Thu Aug 20 18:46:05 2026 130Thu Aug 20 18:46:05 2026
  21. Thu Aug 20 18:46:05 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 20 18:46:05 2026 commencing duplicate removal, pass 1
  23. Thu Aug 20 19:53:28 2026 found 61579200 hash collisions in 341766891 relations
  24. Thu Aug 20 19:53:40 2026 added 121605 free relations
  25. Thu Aug 20 19:53:40 2026 commencing duplicate removal, pass 2
  26. Thu Aug 20 19:55:42 2026 found 63038711 duplicates and 278849785 unique relations
  27. Thu Aug 20 19:55:42 2026 memory use: 1705.5 MB
  28. Thu Aug 20 19:55:42 2026 reading ideals above 150011904
  29. Thu Aug 20 19:55:42 2026 commencing singleton removal, initial pass
  30. Thu Aug 20 20:00:33 2026 memory use: 6024.0 MB
  31. Thu Aug 20 20:00:34 2026 reading all ideals from disk
  32. Thu Aug 20 20:00:36 2026 memory use: 7321.7 MB
  33. Thu Aug 20 20:00:43 2026 commencing in-memory singleton removal
  34. Thu Aug 20 20:00:45 2026 begin with 278849785 relations and 235744942 unique ideals
  35. Thu Aug 20 20:00:59 2026 reduce to 183175528 relations and 131015134 ideals in 14 passes
  36. Thu Aug 20 20:00:59 2026 max relations containing the same ideal: 33
  37. Thu Aug 20 20:01:02 2026 reading ideals above 720000
  38. Thu Aug 20 20:01:03 2026 commencing singleton removal, initial pass
  39. Thu Aug 20 20:06:58 2026 memory use: 3012.0 MB
  40. Thu Aug 20 20:06:59 2026 reading all ideals from disk
  41. Thu Aug 20 20:07:12 2026 memory use: 8882.5 MB
  42. Thu Aug 20 20:07:30 2026 keeping 146953840 ideals with weight <= 200, target excess is 948008
  43. Thu Aug 20 20:07:42 2026 commencing in-memory singleton removal
  44. Thu Aug 20 20:07:44 2026 begin with 183175528 relations and 146953840 unique ideals
  45. Thu Aug 20 20:07:53 2026 reduce to 183173569 relations and 146951881 ideals in 6 passes
  46. Thu Aug 20 20:07:53 2026 max relations containing the same ideal: 200
  47. Thu Aug 20 20:08:36 2026 removing 11296467 relations and 9296467 ideals in 2000000 cliques
  48. Thu Aug 20 20:08:39 2026 commencing in-memory singleton removal
  49. Thu Aug 20 20:08:41 2026 begin with 171877102 relations and 146951881 unique ideals
  50. Thu Aug 20 20:08:51 2026 reduce to 171350731 relations and 137121534 ideals in 8 passes
  51. Thu Aug 20 20:08:51 2026 max relations containing the same ideal: 199
  52. Thu Aug 20 20:09:30 2026 removing 8672977 relations and 6672977 ideals in 2000000 cliques
  53. Thu Aug 20 20:09:33 2026 commencing in-memory singleton removal
  54. Thu Aug 20 20:09:35 2026 begin with 162677754 relations and 137121534 unique ideals
  55. Thu Aug 20 20:09:43 2026 reduce to 162323833 relations and 130090268 ideals in 7 passes
  56. Thu Aug 20 20:09:43 2026 max relations containing the same ideal: 193
  57. Thu Aug 20 20:10:21 2026 removing 7871390 relations and 5871390 ideals in 2000000 cliques
  58. Thu Aug 20 20:10:23 2026 commencing in-memory singleton removal
  59. Thu Aug 20 20:10:25 2026 begin with 154452443 relations and 130090268 unique ideals
  60. Thu Aug 20 20:10:33 2026 reduce to 154139966 relations and 123902665 ideals in 7 passes
  61. Thu Aug 20 20:10:33 2026 max relations containing the same ideal: 188
  62. Thu Aug 20 20:11:06 2026 removing 7452804 relations and 5452804 ideals in 2000000 cliques
  63. Thu Aug 20 20:11:09 2026 commencing in-memory singleton removal
  64. Thu Aug 20 20:11:11 2026 begin with 146687162 relations and 123902665 unique ideals
  65. Thu Aug 20 20:11:18 2026 reduce to 146392963 relations and 118152105 ideals in 7 passes
  66. Thu Aug 20 20:11:18 2026 max relations containing the same ideal: 183
  67. Thu Aug 20 20:11:49 2026 removing 7193303 relations and 5193303 ideals in 2000000 cliques
  68. Thu Aug 20 20:11:52 2026 commencing in-memory singleton removal
  69. Thu Aug 20 20:11:53 2026 begin with 139199660 relations and 118152105 unique ideals
  70. Thu Aug 20 20:12:00 2026 reduce to 138912559 relations and 112667950 ideals in 7 passes
  71. Thu Aug 20 20:12:00 2026 max relations containing the same ideal: 177
  72. Thu Aug 20 20:12:30 2026 removing 7022370 relations and 5022370 ideals in 2000000 cliques
  73. Thu Aug 20 20:12:33 2026 commencing in-memory singleton removal
  74. Thu Aug 20 20:12:34 2026 begin with 131890189 relations and 112667950 unique ideals
  75. Thu Aug 20 20:12:40 2026 reduce to 131604955 relations and 107356490 ideals in 6 passes
  76. Thu Aug 20 20:12:40 2026 max relations containing the same ideal: 172
  77. Thu Aug 20 20:13:09 2026 removing 6906615 relations and 4906615 ideals in 2000000 cliques
  78. Thu Aug 20 20:13:11 2026 commencing in-memory singleton removal
  79. Thu Aug 20 20:13:12 2026 begin with 124698340 relations and 107356490 unique ideals
  80. Thu Aug 20 20:13:18 2026 reduce to 124410092 relations and 102157571 ideals in 7 passes
  81. Thu Aug 20 20:13:18 2026 max relations containing the same ideal: 164
  82. Thu Aug 20 20:13:46 2026 removing 6826752 relations and 4826752 ideals in 2000000 cliques
  83. Thu Aug 20 20:13:48 2026 commencing in-memory singleton removal
  84. Thu Aug 20 20:13:49 2026 begin with 117583340 relations and 102157571 unique ideals
  85. Thu Aug 20 20:13:54 2026 reduce to 117287562 relations and 97030735 ideals in 6 passes
  86. Thu Aug 20 20:13:54 2026 max relations containing the same ideal: 158
  87. Thu Aug 20 20:14:20 2026 removing 6778323 relations and 4778323 ideals in 2000000 cliques
  88. Thu Aug 20 20:14:22 2026 commencing in-memory singleton removal
  89. Thu Aug 20 20:14:23 2026 begin with 110509239 relations and 97030735 unique ideals
  90. Thu Aug 20 20:14:28 2026 reduce to 110202378 relations and 91940772 ideals in 7 passes
  91. Thu Aug 20 20:14:28 2026 max relations containing the same ideal: 154
  92. Thu Aug 20 20:14:53 2026 removing 6749979 relations and 4749979 ideals in 2000000 cliques
  93. Thu Aug 20 20:14:55 2026 commencing in-memory singleton removal
  94. Thu Aug 20 20:14:56 2026 begin with 103452399 relations and 91940772 unique ideals
  95. Thu Aug 20 20:15:02 2026 reduce to 103130610 relations and 86863697 ideals in 7 passes
  96. Thu Aug 20 20:15:02 2026 max relations containing the same ideal: 149
  97. Thu Aug 20 20:15:27 2026 removing 6748799 relations and 4748799 ideals in 2000000 cliques
  98. Thu Aug 20 20:15:28 2026 commencing in-memory singleton removal
  99. Thu Aug 20 20:15:29 2026 begin with 96381811 relations and 86863697 unique ideals
  100. Thu Aug 20 20:15:34 2026 reduce to 96037766 relations and 81765004 ideals in 7 passes
  101. Thu Aug 20 20:15:34 2026 max relations containing the same ideal: 142
  102. Thu Aug 20 20:15:56 2026 removing 6764981 relations and 4764981 ideals in 2000000 cliques
  103. Thu Aug 20 20:15:58 2026 commencing in-memory singleton removal
  104. Thu Aug 20 20:15:59 2026 begin with 89272785 relations and 81765004 unique ideals
  105. Thu Aug 20 20:16:03 2026 reduce to 88903997 relations and 76624437 ideals in 7 passes
  106. Thu Aug 20 20:16:03 2026 max relations containing the same ideal: 134
  107. Thu Aug 20 20:16:23 2026 removing 6798860 relations and 4798860 ideals in 2000000 cliques
  108. Thu Aug 20 20:16:25 2026 commencing in-memory singleton removal
  109. Thu Aug 20 20:16:26 2026 begin with 82105137 relations and 76624437 unique ideals
  110. Thu Aug 20 20:16:30 2026 reduce to 81704705 relations and 71417312 ideals in 7 passes
  111. Thu Aug 20 20:16:30 2026 max relations containing the same ideal: 128
  112. Thu Aug 20 20:16:49 2026 removing 6858821 relations and 4858821 ideals in 2000000 cliques
  113. Thu Aug 20 20:16:51 2026 commencing in-memory singleton removal
  114. Thu Aug 20 20:16:51 2026 begin with 74845884 relations and 71417312 unique ideals
  115. Thu Aug 20 20:16:55 2026 reduce to 74400485 relations and 66103681 ideals in 7 passes
  116. Thu Aug 20 20:16:55 2026 max relations containing the same ideal: 115
  117. Thu Aug 20 20:17:13 2026 removing 6944044 relations and 4944044 ideals in 2000000 cliques
  118. Thu Aug 20 20:17:15 2026 commencing in-memory singleton removal
  119. Thu Aug 20 20:17:15 2026 begin with 67456441 relations and 66103681 unique ideals
  120. Thu Aug 20 20:17:19 2026 reduce to 66955312 relations and 60646761 ideals in 8 passes
  121. Thu Aug 20 20:17:19 2026 max relations containing the same ideal: 109
  122. Thu Aug 20 20:17:35 2026 removing 7059912 relations and 5059912 ideals in 2000000 cliques
  123. Thu Aug 20 20:17:36 2026 commencing in-memory singleton removal
  124. Thu Aug 20 20:17:37 2026 begin with 59895400 relations and 60646761 unique ideals
  125. Thu Aug 20 20:17:40 2026 reduce to 59318887 relations and 54995577 ideals in 7 passes
  126. Thu Aug 20 20:17:40 2026 max relations containing the same ideal: 100
  127. Thu Aug 20 20:17:54 2026 removing 7208424 relations and 5208424 ideals in 2000000 cliques
  128. Thu Aug 20 20:17:56 2026 commencing in-memory singleton removal
  129. Thu Aug 20 20:17:56 2026 begin with 52110463 relations and 54995577 unique ideals
  130. Thu Aug 20 20:17:59 2026 reduce to 51424983 relations and 49082278 ideals in 8 passes
  131. Thu Aug 20 20:17:59 2026 max relations containing the same ideal: 91
  132. Thu Aug 20 20:18:12 2026 removing 5080293 relations and 3837278 ideals in 1243015 cliques
  133. Thu Aug 20 20:18:14 2026 commencing in-memory singleton removal
  134. Thu Aug 20 20:18:14 2026 begin with 46344690 relations and 49082278 unique ideals
  135. Thu Aug 20 20:18:16 2026 reduce to 45963305 relations and 44855741 ideals in 8 passes
  136. Thu Aug 20 20:18:16 2026 max relations containing the same ideal: 86
  137. Thu Aug 20 20:18:29 2026 trying target density 90
  138. Thu Aug 20 20:18:32 2026 relations with 0 large ideals: 3551
  139. Thu Aug 20 20:18:32 2026 relations with 1 large ideals: 9772
  140. Thu Aug 20 20:18:32 2026 relations with 2 large ideals: 159457
  141. Thu Aug 20 20:18:32 2026 relations with 3 large ideals: 1106191
  142. Thu Aug 20 20:18:32 2026 relations with 4 large ideals: 4127534
  143. Thu Aug 20 20:18:32 2026 relations with 5 large ideals: 9116042
  144. Thu Aug 20 20:18:32 2026 relations with 6 large ideals: 12564516
  145. Thu Aug 20 20:18:32 2026 relations with 7+ large ideals: 18876242
  146. Thu Aug 20 20:18:32 2026 commencing 2-way merge
  147. Thu Aug 20 20:18:52 2026 reduce to 28824747 relation sets and 27717183 unique ideals
  148. Thu Aug 20 20:18:52 2026 commencing full merge
  149. Thu Aug 20 20:23:46 2026 memory use: 3465.0 MB
  150. Thu Aug 20 20:23:48 2026 found 14413950 cycles, need 14261383
  151. Thu Aug 20 20:23:51 2026 weight of 14261383 cycles is about 1283948217 (90.03/cycle)
  152. Thu Aug 20 20:23:51 2026 distribution of cycle lengths:
  153. Thu Aug 20 20:23:51 2026 1 relations: 1419236
  154. Thu Aug 20 20:23:51 2026 2 relations: 1368377
  155. Thu Aug 20 20:23:51 2026 3 relations: 1399456
  156. Thu Aug 20 20:23:51 2026 4 relations: 1358633
  157. Thu Aug 20 20:23:51 2026 5 relations: 1330642
  158. Thu Aug 20 20:23:51 2026 6 relations: 1269854
  159. Thu Aug 20 20:23:51 2026 7 relations: 1169987
  160. Thu Aug 20 20:23:51 2026 8 relations: 1039108
  161. Thu Aug 20 20:23:51 2026 9 relations: 893639
  162. Thu Aug 20 20:23:51 2026 10+ relations: 3012451
  163. Thu Aug 20 20:23:51 2026 heaviest cycle: 21 relations
  164. Thu Aug 20 20:23:53 2026 commencing cycle optimization
  165. Thu Aug 20 20:24:08 2026 start with 90028401 relations
  166. Thu Aug 20 20:25:33 2026 pruned 2891011 relations
  167. Thu Aug 20 20:25:34 2026 memory use: 2805.2 MB
  168. Thu Aug 20 20:25:34 2026 distribution of cycle lengths:
  169. Thu Aug 20 20:25:34 2026 1 relations: 1419236
  170. Thu Aug 20 20:25:34 2026 2 relations: 1401527
  171. Thu Aug 20 20:25:34 2026 3 relations: 1453501
  172. Thu Aug 20 20:25:34 2026 4 relations: 1403317
  173. Thu Aug 20 20:25:34 2026 5 relations: 1381603
  174. Thu Aug 20 20:25:34 2026 6 relations: 1310652
  175. Thu Aug 20 20:25:34 2026 7 relations: 1206749
  176. Thu Aug 20 20:25:34 2026 8 relations: 1060364
  177. Thu Aug 20 20:25:34 2026 9 relations: 901441
  178. Thu Aug 20 20:25:34 2026 10+ relations: 2722993
  179. Thu Aug 20 20:25:34 2026 heaviest cycle: 21 relations
  180. Thu Aug 20 20:25:57 2026 trying target density 110
  181. Thu Aug 20 20:26:01 2026 relations with 0 large ideals: 3551
  182. Thu Aug 20 20:26:01 2026 relations with 1 large ideals: 9772
  183. Thu Aug 20 20:26:01 2026 relations with 2 large ideals: 159457
  184. Thu Aug 20 20:26:01 2026 relations with 3 large ideals: 1106191
  185. Thu Aug 20 20:26:01 2026 relations with 4 large ideals: 4127534
  186. Thu Aug 20 20:26:01 2026 relations with 5 large ideals: 9116042
  187. Thu Aug 20 20:26:01 2026 relations with 6 large ideals: 12564516
  188. Thu Aug 20 20:26:01 2026 relations with 7+ large ideals: 18876242
  189. Thu Aug 20 20:26:01 2026 commencing 2-way merge
  190. Thu Aug 20 20:26:24 2026 reduce to 28824747 relation sets and 27717183 unique ideals
  191. Thu Aug 20 20:26:24 2026 commencing full merge
  192. Thu Aug 20 20:32:50 2026 memory use: 3581.7 MB
  193. Thu Aug 20 20:32:53 2026 found 13471767 cycles, need 13351383
  194. Thu Aug 20 20:32:55 2026 weight of 13351383 cycles is about 1469175229 (110.04/cycle)
  195. Thu Aug 20 20:32:55 2026 distribution of cycle lengths:
  196. Thu Aug 20 20:32:55 2026 1 relations: 964584
  197. Thu Aug 20 20:32:55 2026 2 relations: 1037702
  198. Thu Aug 20 20:32:55 2026 3 relations: 1078408
  199. Thu Aug 20 20:32:55 2026 4 relations: 1061631
  200. Thu Aug 20 20:32:55 2026 5 relations: 1059284
  201. Thu Aug 20 20:32:55 2026 6 relations: 1040504
  202. Thu Aug 20 20:32:55 2026 7 relations: 994604
  203. Thu Aug 20 20:32:55 2026 8 relations: 942073
  204. Thu Aug 20 20:32:55 2026 9 relations: 865477
  205. Thu Aug 20 20:32:55 2026 10+ relations: 4307116
  206. Thu Aug 20 20:32:55 2026 heaviest cycle: 27 relations
  207. Thu Aug 20 20:32:57 2026 commencing cycle optimization
  208. Thu Aug 20 20:33:16 2026 start with 102692891 relations
  209. Thu Aug 20 20:35:22 2026 pruned 4086807 relations
  210. Thu Aug 20 20:35:23 2026 memory use: 2938.7 MB
  211. Thu Aug 20 20:35:23 2026 distribution of cycle lengths:
  212. Thu Aug 20 20:35:23 2026 1 relations: 964584
  213. Thu Aug 20 20:35:23 2026 2 relations: 1063615
  214. Thu Aug 20 20:35:23 2026 3 relations: 1122347
  215. Thu Aug 20 20:35:23 2026 4 relations: 1101735
  216. Thu Aug 20 20:35:23 2026 5 relations: 1105850
  217. Thu Aug 20 20:35:23 2026 6 relations: 1083612
  218. Thu Aug 20 20:35:23 2026 7 relations: 1040053
  219. Thu Aug 20 20:35:23 2026 8 relations: 978720
  220. Thu Aug 20 20:35:23 2026 9 relations: 894725
  221. Thu Aug 20 20:35:23 2026 10+ relations: 3996142
  222. Thu Aug 20 20:35:23 2026 heaviest cycle: 27 relations
  223. Thu Aug 20 20:35:39 2026 trying target density 130
  224. Thu Aug 20 20:35:42 2026 relations with 0 large ideals: 3551
  225. Thu Aug 20 20:35:42 2026 relations with 1 large ideals: 9772
  226. Thu Aug 20 20:35:42 2026 relations with 2 large ideals: 159457
  227. Thu Aug 20 20:35:42 2026 relations with 3 large ideals: 1106191
  228. Thu Aug 20 20:35:42 2026 relations with 4 large ideals: 4127534
  229. Thu Aug 20 20:35:42 2026 relations with 5 large ideals: 9116042
  230. Thu Aug 20 20:35:42 2026 relations with 6 large ideals: 12564516
  231. Thu Aug 20 20:35:42 2026 relations with 7+ large ideals: 18876242
  232. Thu Aug 20 20:35:42 2026 commencing 2-way merge
  233. Thu Aug 20 20:36:01 2026 reduce to 28824747 relation sets and 27717183 unique ideals
  234. Thu Aug 20 20:36:01 2026 commencing full merge
  235. Thu Aug 20 20:45:03 2026 memory use: 3659.9 MB
  236. Thu Aug 20 20:45:06 2026 found 12720090 cycles, need 12687383
  237. Thu Aug 20 20:45:09 2026 weight of 12687383 cycles is about 1650045916 (130.05/cycle)
  238. Thu Aug 20 20:45:09 2026 distribution of cycle lengths:
  239. Thu Aug 20 20:45:09 2026 1 relations: 658533
  240. Thu Aug 20 20:45:09 2026 2 relations: 811083
  241. Thu Aug 20 20:45:09 2026 3 relations: 871810
  242. Thu Aug 20 20:45:09 2026 4 relations: 868650
  243. Thu Aug 20 20:45:09 2026 5 relations: 874641
  244. Thu Aug 20 20:45:09 2026 6 relations: 864639
  245. Thu Aug 20 20:45:09 2026 7 relations: 856775
  246. Thu Aug 20 20:45:09 2026 8 relations: 826553
  247. Thu Aug 20 20:45:09 2026 9 relations: 784962
  248. Thu Aug 20 20:45:09 2026 10+ relations: 5269737
  249. Thu Aug 20 20:45:09 2026 heaviest cycle: 28 relations
  250. Thu Aug 20 20:45:11 2026 commencing cycle optimization
  251. Thu Aug 20 20:45:37 2026 start with 114915056 relations
  252. Thu Aug 20 20:48:58 2026 pruned 5340425 relations
  253. Thu Aug 20 20:48:59 2026 memory use: 3064.6 MB
  254. Thu Aug 20 20:48:59 2026 distribution of cycle lengths:
  255. Thu Aug 20 20:48:59 2026 1 relations: 658533
  256. Thu Aug 20 20:48:59 2026 2 relations: 831875
  257. Thu Aug 20 20:48:59 2026 3 relations: 908393
  258. Thu Aug 20 20:48:59 2026 4 relations: 903981
  259. Thu Aug 20 20:48:59 2026 5 relations: 916596
  260. Thu Aug 20 20:48:59 2026 6 relations: 905926
  261. Thu Aug 20 20:48:59 2026 7 relations: 901558
  262. Thu Aug 20 20:48:59 2026 8 relations: 866670
  263. Thu Aug 20 20:48:59 2026 9 relations: 824169
  264. Thu Aug 20 20:48:59 2026 10+ relations: 4969682
  265. Thu Aug 20 20:48:59 2026 heaviest cycle: 28 relations
  266. Thu Aug 20 20:49:13 2026 RelProcTime: 7388
  267. Thu Aug 20 20:49:13 2026
  268. Thu Aug 20 20:49:13 2026 commencing linear algebra
  269. Thu Aug 20 20:49:13 2026 using VBITS=256
  270. Thu Aug 20 20:49:13 2026 building matrices for all densities
  271. Thu Aug 20 20:49:13 2026 found 3 density files
  272. Thu Aug 20 20:49:13 2026 building matrix for density 90
  273. Thu Aug 20 20:49:14 2026 read 14261383 cycles
  274. Thu Aug 20 20:49:28 2026 cycles contain 45230736 unique relations
  275. Thu Aug 20 20:52:36 2026 read 45230736 relations
  276. Thu Aug 20 20:52:47 2026 using 20 quadratic characters above 4294917295
  277. Thu Aug 20 20:53:01 2026 building initial matrix
  278. Thu Aug 20 20:58:43 2026 memory use: 6371.2 MB
  279. Thu Aug 20 20:58:48 2026 read 14261383 cycles
  280. Thu Aug 20 20:58:50 2026 matrix is 14261202 x 14261383 (5311.6 MB) with weight 1649265805 (115.65/col)
  281. Thu Aug 20 20:58:50 2026 sparse part has weight 1221255167 (85.63/col)
  282. Thu Aug 20 21:00:11 2026 filtering completed in 2 passes
  283. Thu Aug 20 21:00:13 2026 matrix is 14258746 x 14258924 (5311.3 MB) with weight 1649162653 (115.66/col)
  284. Thu Aug 20 21:00:13 2026 sparse part has weight 1221225724 (85.65/col)
  285. Thu Aug 20 21:00:38 2026 building matrix for density 110
  286. Thu Aug 20 21:00:39 2026 read 13351383 cycles
  287. Thu Aug 20 21:00:55 2026 cycles contain 45243222 unique relations
  288. Thu Aug 20 21:02:16 2026 read 45243222 relations
  289. Thu Aug 20 21:02:27 2026 using 20 quadratic characters above 4294917295
  290. Thu Aug 20 21:02:42 2026 building initial matrix
  291. Thu Aug 20 21:10:00 2026 memory use: 6356.7 MB
  292. Thu Aug 20 21:10:05 2026 read 13351383 cycles
  293. Thu Aug 20 21:10:07 2026 matrix is 13351205 x 13351383 (5863.7 MB) with weight 1803753225 (135.10/col)
  294. Thu Aug 20 21:10:07 2026 sparse part has weight 1376922387 (103.13/col)
  295. Thu Aug 20 21:11:35 2026 filtering completed in 2 passes
  296. Thu Aug 20 21:11:37 2026 matrix is 13350144 x 13350319 (5863.6 MB) with weight 1803702982 (135.11/col)
  297. Thu Aug 20 21:11:37 2026 sparse part has weight 1376906940 (103.14/col)
  298. Thu Aug 20 21:12:00 2026 building matrix for density 130
  299. Thu Aug 20 21:12:01 2026 read 12687383 cycles
  300. Thu Aug 20 21:12:17 2026 cycles contain 45246087 unique relations
  301. Thu Aug 20 21:13:36 2026 read 45246087 relations
  302. Thu Aug 20 21:13:48 2026 using 20 quadratic characters above 4294917295
  303. Thu Aug 20 21:14:03 2026 building initial matrix
  304. Thu Aug 20 21:21:41 2026 memory use: 6378.6 MB
  305. Thu Aug 20 21:21:45 2026 read 12687383 cycles
  306. Thu Aug 20 21:21:47 2026 matrix is 12687206 x 12687383 (6404.0 MB) with weight 1953352556 (153.96/col)
  307. Thu Aug 20 21:21:47 2026 sparse part has weight 1526526169 (120.32/col)
  308. Thu Aug 20 21:23:22 2026 filtering completed in 2 passes
  309. Thu Aug 20 21:23:24 2026 matrix is 12686978 x 12687152 (6404.0 MB) with weight 1953341789 (153.96/col)
  310. Thu Aug 20 21:23:24 2026 sparse part has weight 1526523403 (120.32/col)
  311. Thu Aug 20 21:23:58 2026 BLanczosTime: 2085
  312. Thu Aug 20 21:23:58 2026 elapsed time 02:37:53
  313. Fri Aug 21 02:17:22 2026
  314. Fri Aug 21 02:17:22 2026
  315. Fri Aug 21 02:17:22 2026 Msieve v. 1.54 (SVN unknown)
  316. Fri Aug 21 02:17:22 2026 random seeds: 3e34e735 3751b278
  317. Fri Aug 21 02:17:22 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits)
  318. Fri Aug 21 02:17:23 2026 no P-1/P+1/ECM available, skipping
  319. Fri Aug 21 02:17:23 2026 commencing number field sieve (179-digit input)
  320. Fri Aug 21 02:17:23 2026 R0: -50203987703899500796847708777087631
  321. Fri Aug 21 02:17:23 2026 R1: 33675820740803577891551
  322. Fri Aug 21 02:17:23 2026 A0: -126937159154788355666792527285549879435422
  323. Fri Aug 21 02:17:23 2026 A1: 30903758391122110461571619680093981
  324. Fri Aug 21 02:17:23 2026 A2: 11273845161506249943705184680
  325. Fri Aug 21 02:17:23 2026 A3: -888438661727435594779
  326. Fri Aug 21 02:17:23 2026 A4: -117305807718648
  327. Fri Aug 21 02:17:23 2026 A5: 1995840
  328. Fri Aug 21 02:17:23 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5
  329. Fri Aug 21 02:17:23 2026
  330. Fri Aug 21 02:17:23 2026 commencing linear algebra
  331. Fri Aug 21 02:17:23 2026 using VBITS=256
  332. Fri Aug 21 02:17:23 2026 skipping matrix build
  333. Fri Aug 21 02:17:31 2026 matrix starts at (0, 0)
  334. Fri Aug 21 02:17:35 2026 matrix is 12686978 x 12687152 (6404.0 MB) with weight 1953341789 (153.96/col)
  335. Fri Aug 21 02:17:35 2026 sparse part has weight 1526523403 (120.32/col)
  336. Fri Aug 21 02:17:35 2026 saving the first 240 matrix rows for later
  337. Fri Aug 21 02:17:42 2026 matrix includes 256 packed rows
  338. Fri Aug 21 02:17:50 2026 matrix is 12686738 x 12687152 (5809.0 MB) with weight 1404564966 (110.71/col)
  339. Fri Aug 21 02:17:50 2026 sparse part has weight 1319809596 (104.03/col)
  340. Fri Aug 21 02:17:51 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  341. Fri Aug 21 02:17:51 2026 selected card has CUDA arch 12.0
  342. Fri Aug 21 02:17:53 2026 computed block_nnz 163620724 (L2 cache 100663296 bytes, average column weight 104.0)
  343. Fri Aug 21 02:17:53 2026 nonzeros per matrix block: 256000000
  344. Fri Aug 21 02:21:21 2026 commencing Lanczos iteration
  345. Fri Aug 21 02:21:21 2026 memory use: 13747.6 MB
  346. Fri Aug 21 02:21:31 2026 linear algebra at 0.2%, ETA 1h 1m
  347. Fri Aug 21 02:21:45 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions
  348. Fri Aug 21 03:26:05 2026 lanczos halted after 49708 iterations (dim = 12686738)
  349. Fri Aug 21 03:27:10 2026 recovered 32 nontrivial dependencies
  350. Fri Aug 21 03:27:10 2026 BLanczosTime: 4187
  351. Fri Aug 21 03:27:10 2026 elapsed time 01:09:48
  352. Thu Aug 20 23:40:28 2026
  353. Thu Aug 20 23:40:28 2026
  354. Thu Aug 20 23:40:28 2026 Msieve v. 1.54 (SVN unknown)
  355. Thu Aug 20 23:40:28 2026 random seeds: baf54572 5edd7f5a
  356. Thu Aug 20 23:40:28 2026 Using 14 OpenMP threads
  357. Thu Aug 20 23:40:28 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits)
  358. Thu Aug 20 23:40:28 2026 no P-1/P+1/ECM available, skipping
  359. Thu Aug 20 23:40:28 2026 commencing number field sieve (179-digit input)
  360. Thu Aug 20 23:40:28 2026 R0: -50203987703899500796847708777087631
  361. Thu Aug 20 23:40:28 2026 R1: 33675820740803577891551
  362. Thu Aug 20 23:40:28 2026 A0: -126937159154788355666792527285549879435422
  363. Thu Aug 20 23:40:28 2026 A1: 30903758391122110461571619680093981
  364. Thu Aug 20 23:40:28 2026 A2: 11273845161506249943705184680
  365. Thu Aug 20 23:40:28 2026 A3: -888438661727435594779
  366. Thu Aug 20 23:40:28 2026 A4: -117305807718648
  367. Thu Aug 20 23:40:28 2026 A5: 1995840
  368. Thu Aug 20 23:40:28 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5
  369. Thu Aug 20 23:40:28 2026
  370. Thu Aug 20 23:40:28 2026 commencing square root phase
  371. Thu Aug 20 23:40:28 2026 reading relations for dependency 1
  372. Thu Aug 20 23:40:31 2026 read 6343169 cycles
  373. Thu Aug 20 23:40:42 2026 cycles contain 22615554 unique relations
  374. Thu Aug 20 23:46:50 2026 read 22615554 relations
  375. Thu Aug 20 23:48:15 2026 multiplying 22615554 relations
  376. Thu Aug 20 23:51:25 2026 multiply complete, coefficients have about 1363.59 million bits
  377. Thu Aug 20 23:51:28 2026 initial square root is modulo 1308247
  378. Thu Aug 20 23:58:43 2026 sqrtTime: 1095
  379. Thu Aug 20 23:58:43 2026 p68 factor: 29557241365355843653494604717738145079512787507895134347718913054559
  380. Thu Aug 20 23:58:43 2026 p112 factor: 1794545723929034836174988965843940216214667684672282719835014681757646809849230566527890791849358805313482966039
  381. Thu Aug 20 23:58:43 2026 elapsed time 00:18:15
  382.  
Tags: math
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