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kyleaskine
Jul 23rd, 2026
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  1. Thu Jul 23 10:59:41 2026
  2. Thu Jul 23 10:59:41 2026
  3. Thu Jul 23 10:59:41 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Jul 23 10:59:41 2026 random seeds: 266623fa 21d67797
  5. Thu Jul 23 10:59:41 2026 Using 14 OpenMP threads
  6. Thu Jul 23 10:59:41 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits)
  7. Thu Jul 23 10:59:42 2026 no P-1/P+1/ECM available, skipping
  8. Thu Jul 23 10:59:42 2026 commencing number field sieve (176-digit input)
  9. Thu Jul 23 10:59:42 2026 R0: -10970084074293095181277496595009873
  10. Thu Jul 23 10:59:42 2026 R1: 9051381785987709708677
  11. Thu Jul 23 10:59:42 2026 A0: 1354920793137290584690604256060053637998400
  12. Thu Jul 23 10:59:42 2026 A1: 374466412987170063010068392832803590
  13. Thu Jul 23 10:59:42 2026 A2: -19679253706052960213466922743
  14. Thu Jul 23 10:59:42 2026 A3: -690849688426002186550
  15. Thu Jul 23 10:59:42 2026 A4: 19496641101072
  16. Thu Jul 23 10:59:42 2026 A5: 332640
  17. Thu Jul 23 10:59:42 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5
  18. Thu Jul 23 10:59:42 2026
  19. Thu Jul 23 10:59:42 2026 commencing relation filtering
  20. Thu Jul 23 10:59:42 2026 setting 4 target densities:Thu Jul 23 10:59:42 2026 90Thu Jul 23 10:59:42 2026 110Thu Jul 23 10:59:42 2026 130Thu Jul 23 10:59:42 2026 140Thu Jul 23 10:59:42 2026
  21. Thu Jul 23 10:59:42 2026 estimated available RAM is 78540.1 MB
  22. Thu Jul 23 10:59:42 2026 commencing duplicate removal, pass 1
  23. Thu Jul 23 11:00:14 2026 error -1 reading relation 39545242
  24. Thu Jul 23 11:00:16 2026 error -1 reading relation 41361623
  25. Thu Jul 23 11:00:31 2026 error -1 reading relation 58793861
  26. Thu Jul 23 11:00:49 2026 error -1 reading relation 82385114
  27. Thu Jul 23 11:00:51 2026 error -1 reading relation 85119767
  28. Thu Jul 23 11:00:51 2026 error -1 reading relation 85144144
  29. Thu Jul 23 11:00:53 2026 error -1 reading relation 86706896
  30. Thu Jul 23 11:01:00 2026 error -1 reading relation 95224054
  31. Thu Jul 23 11:01:03 2026 error -1 reading relation 99222877
  32. Thu Jul 23 11:01:04 2026 error -1 reading relation 99423725
  33. Thu Jul 23 11:01:30 2026 error -1 reading relation 122370877
  34. Thu Jul 23 11:01:30 2026 error -1 reading relation 122774392
  35. Thu Jul 23 11:01:42 2026 error -1 reading relation 135605867
  36. Thu Jul 23 11:01:49 2026 error -1 reading relation 143850332
  37. Thu Jul 23 11:01:53 2026 error -1 reading relation 147982965
  38. Thu Jul 23 11:01:56 2026 error -1 reading relation 151458379
  39. Thu Jul 23 11:02:00 2026 error -1 reading relation 155808552
  40. Thu Jul 23 11:02:05 2026 error -1 reading relation 161215359
  41. Thu Jul 23 11:02:35 2026 error -5 reading relation 194915077
  42. Thu Jul 23 11:02:45 2026 error -1 reading relation 206739123
  43. Thu Jul 23 11:02:45 2026 error -1 reading relation 206754443
  44. Thu Jul 23 11:02:57 2026 error -1 reading relation 219364304
  45. Thu Jul 23 11:03:03 2026 error -1 reading relation 225636190
  46. Thu Jul 23 11:03:06 2026 error -1 reading relation 229553599
  47. Thu Jul 23 11:03:11 2026 error -1 reading relation 234860204
  48. Thu Jul 23 11:03:16 2026 error -15 reading relation 242260199
  49. Thu Jul 23 11:03:16 2026 error -1 reading relation 242508951
  50. Thu Jul 23 11:03:16 2026 error -1 reading relation 242796212
  51. Thu Jul 23 11:03:17 2026 error -1 reading relation 243175378
  52. Thu Jul 23 11:03:17 2026 error -15 reading relation 243758246
  53. Thu Jul 23 11:03:18 2026 error -1 reading relation 245170631
  54. Thu Jul 23 11:03:23 2026 error -1 reading relation 251065581
  55. Thu Jul 23 11:03:24 2026 error -1 reading relation 252248858
  56. Thu Jul 23 11:03:28 2026 error -1 reading relation 256872927
  57. Thu Jul 23 11:03:30 2026 error -1 reading relation 258488873
  58. Thu Jul 23 11:03:31 2026 error -11 reading relation 259960793
  59. Thu Jul 23 11:03:45 2026 error -1 reading relation 278325576
  60. Thu Jul 23 11:03:47 2026 error -1 reading relation 280473529
  61. Thu Jul 23 11:03:51 2026 error -1 reading relation 285062289
  62. Thu Jul 23 11:03:59 2026 error -1 reading relation 292832849
  63. Thu Jul 23 11:04:04 2026 error -1 reading relation 297236654
  64. Thu Jul 23 11:04:06 2026 error -1 reading relation 299657219
  65. Thu Jul 23 11:04:07 2026 error -1 reading relation 301097741
  66. Thu Jul 23 11:04:07 2026 error -1 reading relation 301566607
  67. Thu Jul 23 11:04:07 2026 error -1 reading relation 301586853
  68. Thu Jul 23 11:04:13 2026 error -1 reading relation 308968482
  69. Thu Jul 23 11:04:13 2026 error -1 reading relation 308968483
  70. Thu Jul 23 11:04:13 2026 error -1 reading relation 308997171
  71. Thu Jul 23 11:04:13 2026 error -1 reading relation 309034804
  72. Thu Jul 23 11:04:13 2026 error -1 reading relation 309100956
  73. Thu Jul 23 11:04:17 2026 error -1 reading relation 313409297
  74. Thu Jul 23 11:04:22 2026 error -1 reading relation 320806235
  75. Thu Jul 23 11:04:26 2026 error -1 reading relation 325428384
  76. Thu Jul 23 11:04:27 2026 skipped 5 relations with composite factors
  77. Thu Jul 23 11:04:27 2026 skipped 374 malformed relations
  78. Thu Jul 23 11:04:27 2026 found 69182829 hash collisions in 327355440 relations
  79. Thu Jul 23 11:04:40 2026 added 121980 free relations
  80. Thu Jul 23 11:04:40 2026 commencing duplicate removal, pass 2
  81. Thu Jul 23 11:06:50 2026 found 74984297 duplicates and 252493123 unique relations
  82. Thu Jul 23 11:06:50 2026 memory use: 1705.5 MB
  83. Thu Jul 23 11:06:50 2026 reading ideals above 720000
  84. Thu Jul 23 11:06:50 2026 commencing singleton removal, initial pass
  85. Thu Jul 23 11:17:43 2026 memory use: 6024.0 MB
  86. Thu Jul 23 11:17:42 2026 reading all ideals from disk
  87. Thu Jul 23 11:17:55 2026 memory use: 11947.5 MB
  88. Thu Jul 23 11:18:21 2026 keeping 241935647 ideals with weight <= 200, target excess is 1243147
  89. Thu Jul 23 11:18:42 2026 commencing in-memory singleton removal
  90. Thu Jul 23 11:18:45 2026 begin with 252493123 relations and 241935647 unique ideals
  91. Thu Jul 23 11:19:06 2026 reduce to 147669988 relations and 125279951 ideals in 17 passes
  92. Thu Jul 23 11:19:06 2026 max relations containing the same ideal: 147
  93. Thu Jul 23 11:19:45 2026 removing 12660089 relations and 10660089 ideals in 2000000 cliques
  94. Thu Jul 23 11:19:46 2026 commencing in-memory singleton removal
  95. Thu Jul 23 11:19:48 2026 begin with 135009899 relations and 125279951 unique ideals
  96. Thu Jul 23 11:19:57 2026 reduce to 134149178 relations and 113743868 ideals in 10 passes
  97. Thu Jul 23 11:19:57 2026 max relations containing the same ideal: 139
  98. Thu Jul 23 11:20:34 2026 removing 9675542 relations and 7675542 ideals in 2000000 cliques
  99. Thu Jul 23 11:20:37 2026 commencing in-memory singleton removal
  100. Thu Jul 23 11:20:38 2026 begin with 124473636 relations and 113743868 unique ideals
  101. Thu Jul 23 11:20:46 2026 reduce to 123896993 relations and 105482800 ideals in 9 passes
  102. Thu Jul 23 11:20:46 2026 max relations containing the same ideal: 137
  103. Thu Jul 23 11:21:18 2026 removing 8773033 relations and 6773033 ideals in 2000000 cliques
  104. Thu Jul 23 11:21:19 2026 commencing in-memory singleton removal
  105. Thu Jul 23 11:21:21 2026 begin with 115123960 relations and 105482800 unique ideals
  106. Thu Jul 23 11:21:27 2026 reduce to 114604511 relations and 98182248 ideals in 8 passes
  107. Thu Jul 23 11:21:27 2026 max relations containing the same ideal: 129
  108. Thu Jul 23 11:21:57 2026 removing 8321713 relations and 6321713 ideals in 2000000 cliques
  109. Thu Jul 23 11:21:59 2026 commencing in-memory singleton removal
  110. Thu Jul 23 11:22:01 2026 begin with 106282798 relations and 98182248 unique ideals
  111. Thu Jul 23 11:22:07 2026 reduce to 105781029 relations and 91350645 ideals in 8 passes
  112. Thu Jul 23 11:22:07 2026 max relations containing the same ideal: 119
  113. Thu Jul 23 11:22:35 2026 removing 8058107 relations and 6058107 ideals in 2000000 cliques
  114. Thu Jul 23 11:22:37 2026 commencing in-memory singleton removal
  115. Thu Jul 23 11:22:38 2026 begin with 97722922 relations and 91350645 unique ideals
  116. Thu Jul 23 11:22:43 2026 reduce to 97217780 relations and 84778697 ideals in 8 passes
  117. Thu Jul 23 11:22:43 2026 max relations containing the same ideal: 115
  118. Thu Jul 23 11:23:09 2026 removing 7897291 relations and 5897291 ideals in 2000000 cliques
  119. Thu Jul 23 11:23:11 2026 commencing in-memory singleton removal
  120. Thu Jul 23 11:23:12 2026 begin with 89320489 relations and 84778697 unique ideals
  121. Thu Jul 23 11:23:18 2026 reduce to 88795410 relations and 78346732 ideals in 8 passes
  122. Thu Jul 23 11:23:18 2026 max relations containing the same ideal: 105
  123. Thu Jul 23 11:23:42 2026 removing 7808718 relations and 5808718 ideals in 2000000 cliques
  124. Thu Jul 23 11:23:44 2026 commencing in-memory singleton removal
  125. Thu Jul 23 11:23:45 2026 begin with 80986692 relations and 78346732 unique ideals
  126. Thu Jul 23 11:23:49 2026 reduce to 80430773 relations and 71971161 ideals in 8 passes
  127. Thu Jul 23 11:23:49 2026 max relations containing the same ideal: 102
  128. Thu Jul 23 11:24:12 2026 removing 7771620 relations and 5771620 ideals in 2000000 cliques
  129. Thu Jul 23 11:24:14 2026 commencing in-memory singleton removal
  130. Thu Jul 23 11:24:14 2026 begin with 72659153 relations and 71971161 unique ideals
  131. Thu Jul 23 11:24:18 2026 reduce to 72057715 relations and 65585061 ideals in 8 passes
  132. Thu Jul 23 11:24:18 2026 max relations containing the same ideal: 96
  133. Thu Jul 23 11:24:39 2026 removing 7770935 relations and 5770935 ideals in 2000000 cliques
  134. Thu Jul 23 11:24:40 2026 commencing in-memory singleton removal
  135. Thu Jul 23 11:24:41 2026 begin with 64286780 relations and 65585061 unique ideals
  136. Thu Jul 23 11:24:45 2026 reduce to 63620061 relations and 59131503 ideals in 9 passes
  137. Thu Jul 23 11:24:45 2026 max relations containing the same ideal: 82
  138. Thu Jul 23 11:25:03 2026 removing 7809198 relations and 5809198 ideals in 2000000 cliques
  139. Thu Jul 23 11:25:05 2026 commencing in-memory singleton removal
  140. Thu Jul 23 11:25:05 2026 begin with 55810863 relations and 59131503 unique ideals
  141. Thu Jul 23 11:25:08 2026 reduce to 55054452 relations and 52545415 ideals in 8 passes
  142. Thu Jul 23 11:25:08 2026 max relations containing the same ideal: 77
  143. Thu Jul 23 11:25:25 2026 removing 4811988 relations and 3745002 ideals in 1066986 cliques
  144. Thu Jul 23 11:25:26 2026 commencing in-memory singleton removal
  145. Thu Jul 23 11:25:27 2026 begin with 50242464 relations and 52545415 unique ideals
  146. Thu Jul 23 11:25:29 2026 reduce to 49932908 relations and 48485786 ideals in 11 passes
  147. Thu Jul 23 11:25:29 2026 max relations containing the same ideal: 73
  148. Thu Jul 23 11:25:45 2026 trying target density 90
  149. Thu Jul 23 11:25:49 2026 relations with 0 large ideals: 4704
  150. Thu Jul 23 11:25:49 2026 relations with 1 large ideals: 31409
  151. Thu Jul 23 11:25:49 2026 relations with 2 large ideals: 426034
  152. Thu Jul 23 11:25:49 2026 relations with 3 large ideals: 2383301
  153. Thu Jul 23 11:25:49 2026 relations with 4 large ideals: 7116232
  154. Thu Jul 23 11:25:49 2026 relations with 5 large ideals: 12543024
  155. Thu Jul 23 11:25:49 2026 relations with 6 large ideals: 13633846
  156. Thu Jul 23 11:25:49 2026 relations with 7+ large ideals: 13794358
  157. Thu Jul 23 11:25:49 2026 commencing 2-way merge
  158. Thu Jul 23 11:26:11 2026 reduce to 31266888 relation sets and 29819766 unique ideals
  159. Thu Jul 23 11:26:11 2026 commencing full merge
  160. Thu Jul 23 11:32:13 2026 memory use: 3561.5 MB
  161. Thu Jul 23 11:32:16 2026 found 15501289 cycles, need 15307966
  162. Thu Jul 23 11:32:19 2026 weight of 15307966 cycles is about 1378211193 (90.03/cycle)
  163. Thu Jul 23 11:32:19 2026 distribution of cycle lengths:
  164. Thu Jul 23 11:32:19 2026 1 relations: 1363243
  165. Thu Jul 23 11:32:19 2026 2 relations: 1505446
  166. Thu Jul 23 11:32:19 2026 3 relations: 1543183
  167. Thu Jul 23 11:32:19 2026 4 relations: 1456386
  168. Thu Jul 23 11:32:19 2026 5 relations: 1388354
  169. Thu Jul 23 11:32:19 2026 6 relations: 1305849
  170. Thu Jul 23 11:32:19 2026 7 relations: 1200945
  171. Thu Jul 23 11:32:19 2026 8 relations: 1074178
  172. Thu Jul 23 11:32:19 2026 9 relations: 946376
  173. Thu Jul 23 11:32:19 2026 10+ relations: 3524006
  174. Thu Jul 23 11:32:19 2026 heaviest cycle: 22 relations
  175. Thu Jul 23 11:32:22 2026 commencing cycle optimization
  176. Thu Jul 23 11:32:41 2026 start with 99551675 relations
  177. Thu Jul 23 11:34:36 2026 pruned 3052839 relations
  178. Thu Jul 23 11:34:37 2026 memory use: 3069.0 MB
  179. Thu Jul 23 11:34:37 2026 distribution of cycle lengths:
  180. Thu Jul 23 11:34:37 2026 1 relations: 1363243
  181. Thu Jul 23 11:34:37 2026 2 relations: 1541518
  182. Thu Jul 23 11:34:37 2026 3 relations: 1603144
  183. Thu Jul 23 11:34:37 2026 4 relations: 1500692
  184. Thu Jul 23 11:34:37 2026 5 relations: 1437538
  185. Thu Jul 23 11:34:37 2026 6 relations: 1343199
  186. Thu Jul 23 11:34:37 2026 7 relations: 1232777
  187. Thu Jul 23 11:34:37 2026 8 relations: 1093815
  188. Thu Jul 23 11:34:37 2026 9 relations: 955403
  189. Thu Jul 23 11:34:37 2026 10+ relations: 3236637
  190. Thu Jul 23 11:34:37 2026 heaviest cycle: 22 relations
  191. Thu Jul 23 11:34:55 2026 trying target density 110
  192. Thu Jul 23 11:34:58 2026 relations with 0 large ideals: 4704
  193. Thu Jul 23 11:34:58 2026 relations with 1 large ideals: 31409
  194. Thu Jul 23 11:34:58 2026 relations with 2 large ideals: 426034
  195. Thu Jul 23 11:34:58 2026 relations with 3 large ideals: 2383301
  196. Thu Jul 23 11:34:58 2026 relations with 4 large ideals: 7116232
  197. Thu Jul 23 11:34:58 2026 relations with 5 large ideals: 12543024
  198. Thu Jul 23 11:34:58 2026 relations with 6 large ideals: 13633846
  199. Thu Jul 23 11:34:58 2026 relations with 7+ large ideals: 13794358
  200. Thu Jul 23 11:34:58 2026 commencing 2-way merge
  201. Thu Jul 23 11:35:20 2026 reduce to 31266888 relation sets and 29819766 unique ideals
  202. Thu Jul 23 11:35:20 2026 commencing full merge
  203. Thu Jul 23 11:43:38 2026 memory use: 3650.7 MB
  204. Thu Jul 23 11:43:41 2026 found 14457626 cycles, need 14309966
  205. Thu Jul 23 11:43:45 2026 weight of 14309966 cycles is about 1574772187 (110.05/cycle)
  206. Thu Jul 23 11:43:45 2026 distribution of cycle lengths:
  207. Thu Jul 23 11:43:45 2026 1 relations: 872424
  208. Thu Jul 23 11:43:45 2026 2 relations: 1118178
  209. Thu Jul 23 11:43:45 2026 3 relations: 1194430
  210. Thu Jul 23 11:43:45 2026 4 relations: 1159909
  211. Thu Jul 23 11:43:45 2026 5 relations: 1130236
  212. Thu Jul 23 11:43:45 2026 6 relations: 1088608
  213. Thu Jul 23 11:43:45 2026 7 relations: 1027967
  214. Thu Jul 23 11:43:45 2026 8 relations: 970907
  215. Thu Jul 23 11:43:45 2026 9 relations: 896383
  216. Thu Jul 23 11:43:45 2026 10+ relations: 4850924
  217. Thu Jul 23 11:43:45 2026 heaviest cycle: 27 relations
  218. Thu Jul 23 11:43:46 2026 commencing cycle optimization
  219. Thu Jul 23 11:44:12 2026 start with 113393091 relations
  220. Thu Jul 23 11:47:24 2026 pruned 4282302 relations
  221. Thu Jul 23 11:47:24 2026 memory use: 3215.5 MB
  222. Thu Jul 23 11:47:24 2026 distribution of cycle lengths:
  223. Thu Jul 23 11:47:24 2026 1 relations: 872424
  224. Thu Jul 23 11:47:24 2026 2 relations: 1146909
  225. Thu Jul 23 11:47:24 2026 3 relations: 1244652
  226. Thu Jul 23 11:47:24 2026 4 relations: 1201345
  227. Thu Jul 23 11:47:24 2026 5 relations: 1177365
  228. Thu Jul 23 11:47:24 2026 6 relations: 1129165
  229. Thu Jul 23 11:47:24 2026 7 relations: 1068822
  230. Thu Jul 23 11:47:24 2026 8 relations: 1002876
  231. Thu Jul 23 11:47:24 2026 9 relations: 922111
  232. Thu Jul 23 11:47:24 2026 10+ relations: 4544297
  233. Thu Jul 23 11:47:24 2026 heaviest cycle: 26 relations
  234. Thu Jul 23 11:47:45 2026 trying target density 130
  235. Thu Jul 23 11:47:48 2026 relations with 0 large ideals: 4704
  236. Thu Jul 23 11:47:48 2026 relations with 1 large ideals: 31409
  237. Thu Jul 23 11:47:48 2026 relations with 2 large ideals: 426034
  238. Thu Jul 23 11:47:48 2026 relations with 3 large ideals: 2383301
  239. Thu Jul 23 11:47:48 2026 relations with 4 large ideals: 7116232
  240. Thu Jul 23 11:47:48 2026 relations with 5 large ideals: 12543024
  241. Thu Jul 23 11:47:48 2026 relations with 6 large ideals: 13633846
  242. Thu Jul 23 11:47:48 2026 relations with 7+ large ideals: 13794358
  243. Thu Jul 23 11:47:48 2026 commencing 2-way merge
  244. Thu Jul 23 11:48:08 2026 reduce to 31266888 relation sets and 29819766 unique ideals
  245. Thu Jul 23 11:48:08 2026 commencing full merge
  246. Thu Jul 23 11:58:28 2026 memory use: 3697.8 MB
  247. Thu Jul 23 11:58:31 2026 found 13605838 cycles, need 13579966
  248. Thu Jul 23 11:58:35 2026 weight of 13579966 cycles is about 1765498388 (130.01/cycle)
  249. Thu Jul 23 11:58:35 2026 distribution of cycle lengths:
  250. Thu Jul 23 11:58:35 2026 1 relations: 577157
  251. Thu Jul 23 11:58:35 2026 2 relations: 854333
  252. Thu Jul 23 11:58:35 2026 3 relations: 960450
  253. Thu Jul 23 11:58:35 2026 4 relations: 951573
  254. Thu Jul 23 11:58:35 2026 5 relations: 945567
  255. Thu Jul 23 11:58:35 2026 6 relations: 916766
  256. Thu Jul 23 11:58:35 2026 7 relations: 893308
  257. Thu Jul 23 11:58:35 2026 8 relations: 851875
  258. Thu Jul 23 11:58:35 2026 9 relations: 807164
  259. Thu Jul 23 11:58:35 2026 10+ relations: 5821773
  260. Thu Jul 23 11:58:35 2026 heaviest cycle: 28 relations
  261. Thu Jul 23 11:58:38 2026 commencing cycle optimization
  262. Thu Jul 23 11:59:05 2026 start with 126642937 relations
  263. Thu Jul 23 12:03:23 2026 pruned 5570744 relations
  264. Thu Jul 23 12:03:23 2026 memory use: 3350.7 MB
  265. Thu Jul 23 12:03:23 2026 distribution of cycle lengths:
  266. Thu Jul 23 12:03:23 2026 1 relations: 577157
  267. Thu Jul 23 12:03:23 2026 2 relations: 877670
  268. Thu Jul 23 12:03:23 2026 3 relations: 1002697
  269. Thu Jul 23 12:03:23 2026 4 relations: 989494
  270. Thu Jul 23 12:03:23 2026 5 relations: 988409
  271. Thu Jul 23 12:03:23 2026 6 relations: 956570
  272. Thu Jul 23 12:03:23 2026 7 relations: 934510
  273. Thu Jul 23 12:03:23 2026 8 relations: 888307
  274. Thu Jul 23 12:03:23 2026 9 relations: 841203
  275. Thu Jul 23 12:03:23 2026 10+ relations: 5523949
  276. Thu Jul 23 12:03:23 2026 heaviest cycle: 28 relations
  277. Thu Jul 23 12:03:45 2026 trying target density 140
  278. Thu Jul 23 12:03:49 2026 relations with 0 large ideals: 4704
  279. Thu Jul 23 12:03:49 2026 relations with 1 large ideals: 31409
  280. Thu Jul 23 12:03:49 2026 relations with 2 large ideals: 426034
  281. Thu Jul 23 12:03:49 2026 relations with 3 large ideals: 2383301
  282. Thu Jul 23 12:03:49 2026 relations with 4 large ideals: 7116232
  283. Thu Jul 23 12:03:49 2026 relations with 5 large ideals: 12543024
  284. Thu Jul 23 12:03:49 2026 relations with 6 large ideals: 13633846
  285. Thu Jul 23 12:03:49 2026 relations with 7+ large ideals: 13794358
  286. Thu Jul 23 12:03:49 2026 commencing 2-way merge
  287. Thu Jul 23 12:04:12 2026 reduce to 31266888 relation sets and 29819766 unique ideals
  288. Thu Jul 23 12:04:12 2026 commencing full merge
  289. Thu Jul 23 12:22:00 2026 memory use: 1389.7 MB
  290. Thu Jul 23 12:22:00 2026 found 70119 cycles, need 6944347
  291. Thu Jul 23 12:22:00 2026 too few cycles, matrix probably cannot build
  292. Thu Jul 23 12:22:06 2026 RelProcTime: 4944
  293. Thu Jul 23 12:22:06 2026
  294. Thu Jul 23 12:22:06 2026 commencing linear algebra
  295. Thu Jul 23 12:22:06 2026 using VBITS=256
  296. Thu Jul 23 12:22:06 2026 building matrices for all densities
  297. Thu Jul 23 12:22:06 2026 found 3 density files
  298. Thu Jul 23 12:22:06 2026 building matrix for density 90
  299. Thu Jul 23 12:22:12 2026 read 15307966 cycles
  300. Thu Jul 23 12:22:34 2026 cycles contain 48981292 unique relations
  301. Thu Jul 23 12:28:51 2026 read 48981292 relations
  302. Thu Jul 23 12:28:59 2026 using 20 quadratic characters above 4294917295
  303. Thu Jul 23 12:29:10 2026 building initial matrix
  304. Thu Jul 23 12:35:38 2026 memory use: 6770.9 MB
  305. Thu Jul 23 12:35:43 2026 read 15307966 cycles
  306. Thu Jul 23 12:35:45 2026 matrix is 15307784 x 15307966 (5711.1 MB) with weight 1768759827 (115.55/col)
  307. Thu Jul 23 12:35:45 2026 sparse part has weight 1313431317 (85.80/col)
  308. Thu Jul 23 12:37:23 2026 filtering completed in 2 passes
  309. Thu Jul 23 12:37:26 2026 matrix is 15303763 x 15303944 (5710.7 MB) with weight 1768588661 (115.56/col)
  310. Thu Jul 23 12:37:26 2026 sparse part has weight 1313380046 (85.82/col)
  311. Thu Jul 23 12:37:52 2026 building matrix for density 110
  312. Thu Jul 23 12:37:57 2026 read 14309966 cycles
  313. Thu Jul 23 12:38:15 2026 cycles contain 48991953 unique relations
  314. Thu Jul 23 12:39:43 2026 read 48991953 relations
  315. Thu Jul 23 12:39:52 2026 using 20 quadratic characters above 4294917295
  316. Thu Jul 23 12:40:03 2026 building initial matrix
  317. Thu Jul 23 12:48:55 2026 memory use: 6789.8 MB
  318. Thu Jul 23 12:49:01 2026 read 14309966 cycles
  319. Thu Jul 23 12:49:03 2026 matrix is 14309788 x 14309966 (6300.5 MB) with weight 1933472275 (135.11/col)
  320. Thu Jul 23 12:49:03 2026 sparse part has weight 1479930375 (103.42/col)
  321. Thu Jul 23 12:51:02 2026 filtering completed in 2 passes
  322. Thu Jul 23 12:51:05 2026 matrix is 14307990 x 14308167 (6300.3 MB) with weight 1933378963 (135.12/col)
  323. Thu Jul 23 12:51:05 2026 sparse part has weight 1479896539 (103.43/col)
  324. Thu Jul 23 12:51:37 2026 building matrix for density 130
  325. Thu Jul 23 12:51:39 2026 read 13579966 cycles
  326. Thu Jul 23 12:51:59 2026 cycles contain 48990441 unique relations
  327. Thu Jul 23 12:52:53 2026 read 48990441 relations
  328. Thu Jul 23 12:53:03 2026 using 20 quadratic characters above 4294917295
  329. Thu Jul 23 12:53:15 2026 building initial matrix
  330. Thu Jul 23 13:02:03 2026 memory use: 6813.0 MB
  331. Thu Jul 23 13:02:09 2026 read 13579966 cycles
  332. Thu Jul 23 13:02:09 2026 matrix is 13579788 x 13579966 (6870.7 MB) with weight 2090931477 (153.97/col)
  333. Thu Jul 23 13:02:09 2026 sparse part has weight 1638152855 (120.63/col)
  334. Thu Jul 23 13:03:50 2026 filtering completed in 2 passes
  335. Thu Jul 23 13:03:53 2026 matrix is 13579536 x 13579713 (6870.7 MB) with weight 2090919572 (153.97/col)
  336. Thu Jul 23 13:03:53 2026 sparse part has weight 1638150013 (120.63/col)
  337. Thu Jul 23 13:04:20 2026 BLanczosTime: 2534
  338. Thu Jul 23 13:04:20 2026 elapsed time 02:04:39
  339. Thu Jul 23 22:23:50 2026
  340. Thu Jul 23 22:23:50 2026
  341. Thu Jul 23 22:23:50 2026 Msieve v. 1.54 (SVN unknown)
  342. Thu Jul 23 22:23:50 2026 random seeds: 6fa0a4b2 f1703fd8
  343. Thu Jul 23 22:23:50 2026 Using 8 OpenMP threads
  344. Thu Jul 23 22:23:50 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits)
  345. Thu Jul 23 22:23:50 2026 no P-1/P+1/ECM available, skipping
  346. Thu Jul 23 22:23:50 2026 commencing number field sieve (176-digit input)
  347. Thu Jul 23 22:23:50 2026 R0: -10970084074293095181277496595009873
  348. Thu Jul 23 22:23:50 2026 R1: 9051381785987709708677
  349. Thu Jul 23 22:23:50 2026 A0: 1354920793137290584690604256060053637998400
  350. Thu Jul 23 22:23:50 2026 A1: 374466412987170063010068392832803590
  351. Thu Jul 23 22:23:50 2026 A2: -19679253706052960213466922743
  352. Thu Jul 23 22:23:50 2026 A3: -690849688426002186550
  353. Thu Jul 23 22:23:50 2026 A4: 19496641101072
  354. Thu Jul 23 22:23:50 2026 A5: 332640
  355. Thu Jul 23 22:23:50 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5
  356. Thu Jul 23 22:23:50 2026
  357. Thu Jul 23 22:23:50 2026 commencing linear algebra
  358. Thu Jul 23 22:23:50 2026 using VBITS=256
  359. Thu Jul 23 22:23:50 2026 skipping matrix build
  360. Thu Jul 23 22:23:55 2026 matrix starts at (0, 0)
  361. Thu Jul 23 22:23:57 2026 matrix is 13579536 x 13579713 (6870.7 MB) with weight 2090919572 (153.97/col)
  362. Thu Jul 23 22:23:57 2026 sparse part has weight 1638150013 (120.63/col)
  363. Thu Jul 23 22:23:57 2026 saving the first 240 matrix rows for later
  364. Thu Jul 23 22:23:59 2026 matrix includes 256 packed rows
  365. Thu Jul 23 22:24:03 2026 matrix is 13579296 x 13579713 (6193.4 MB) with weight 1500559437 (110.50/col)
  366. Thu Jul 23 22:24:03 2026 sparse part has weight 1406283783 (103.56/col)
  367. Thu Jul 23 22:24:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  368. Thu Jul 23 22:24:03 2026 selected card has CUDA arch 12.0
  369. Thu Jul 23 22:24:04 2026 computed block_nnz 162882171 (L2 cache 100663296 bytes, average column weight 103.6)
  370. Thu Jul 23 22:24:04 2026 nonzeros per matrix block: 256000000
  371. Thu Jul 23 22:25:37 2026 commencing Lanczos iteration
  372. Thu Jul 23 22:25:38 2026 memory use: 14666.1 MB
  373. Thu Jul 23 22:25:50 2026 linear algebra at 0.2%, ETA 1h21m
  374. Thu Jul 23 22:26:06 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions
  375. Thu Jul 23 23:46:35 2026 lanczos halted after 53204 iterations (dim = 13579295)
  376. Thu Jul 23 23:47:15 2026 recovered 27 nontrivial dependencies
  377. Thu Jul 23 23:47:15 2026 BLanczosTime: 5005
  378. Thu Jul 23 23:47:15 2026 elapsed time 01:23:25
  379. Thu Jul 23 20:29:03 2026
  380. Thu Jul 23 20:29:03 2026
  381. Thu Jul 23 20:29:03 2026 Msieve v. 1.54 (SVN unknown)
  382. Thu Jul 23 20:29:03 2026 random seeds: ae8bf3f6 2d907855
  383. Thu Jul 23 20:29:03 2026 Using 14 OpenMP threads
  384. Thu Jul 23 20:29:03 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits)
  385. Thu Jul 23 20:29:03 2026 no P-1/P+1/ECM available, skipping
  386. Thu Jul 23 20:29:03 2026 commencing number field sieve (176-digit input)
  387. Thu Jul 23 20:29:03 2026 R0: -10970084074293095181277496595009873
  388. Thu Jul 23 20:29:03 2026 R1: 9051381785987709708677
  389. Thu Jul 23 20:29:03 2026 A0: 1354920793137290584690604256060053637998400
  390. Thu Jul 23 20:29:03 2026 A1: 374466412987170063010068392832803590
  391. Thu Jul 23 20:29:03 2026 A2: -19679253706052960213466922743
  392. Thu Jul 23 20:29:03 2026 A3: -690849688426002186550
  393. Thu Jul 23 20:29:03 2026 A4: 19496641101072
  394. Thu Jul 23 20:29:03 2026 A5: 332640
  395. Thu Jul 23 20:29:03 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5
  396. Thu Jul 23 20:29:03 2026
  397. Thu Jul 23 20:29:03 2026 commencing square root phase
  398. Thu Jul 23 20:29:03 2026 reading relations for dependency 1
  399. Thu Jul 23 20:29:04 2026 read 6786657 cycles
  400. Thu Jul 23 20:29:17 2026 cycles contain 24493896 unique relations
  401. Thu Jul 23 20:36:55 2026 read 24493896 relations
  402. Thu Jul 23 20:38:25 2026 multiplying 24493896 relations
  403. Thu Jul 23 20:41:02 2026 multiply complete, coefficients have about 1380.96 million bits
  404. Thu Jul 23 20:41:03 2026 initial square root is modulo 1565441
  405. Thu Jul 23 20:46:28 2026 sqrtTime: 1045
  406. Thu Jul 23 20:46:28 2026 p72 factor: 478237308712936075258158105481987417326704058206146503694868946671287979
  407. Thu Jul 23 20:46:28 2026 p104 factor: 36836685406701569442595059822243677422131684109138729930144581896624908320999297655163112263918404567189
  408. Thu Jul 23 20:46:28 2026 elapsed time 00:17:25
  409.  
Tags: math
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