kyleaskine

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Jul 12th, 2026
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  1. Sun Jul 12 18:22:40 2026
  2. Sun Jul 12 18:22:40 2026
  3. Sun Jul 12 18:22:40 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jul 12 18:22:40 2026 random seeds: 3ac602d6 5da3ae9e
  5. Sun Jul 12 18:22:40 2026 Using 14 OpenMP threads
  6. Sun Jul 12 18:22:40 2026 factoring 19201241781666566957161086288491477574853536522933539452254050585755453909153825889672189006148728271788423048699845425455418718481533767183223252110178952662294252381159087 (173 digits)
  7. Sun Jul 12 18:22:41 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jul 12 18:22:41 2026 commencing number field sieve (173-digit input)
  9. Sun Jul 12 18:22:41 2026 R0: -3220327207952268768455659733517876
  10. Sun Jul 12 18:22:41 2026 R1: 5360003536552073690563
  11. Sun Jul 12 18:22:41 2026 A0: 45160425827047166897048620913848720457725
  12. Sun Jul 12 18:22:41 2026 A1: -11250027905142034892887213204592650
  13. Sun Jul 12 18:22:41 2026 A2: 114359667321009496212626879
  14. Sun Jul 12 18:22:41 2026 A3: 102003996061734103966
  15. Sun Jul 12 18:22:41 2026 A4: 466766033760
  16. Sun Jul 12 18:22:41 2026 A5: 55440
  17. Sun Jul 12 18:22:41 2026 skew 17654092.60, size 1.077e-16, alpha -6.863, combined = 3.101e-13 rroots = 1
  18. Sun Jul 12 18:22:41 2026
  19. Sun Jul 12 18:22:41 2026 commencing relation filtering
  20. Sun Jul 12 18:22:41 2026 setting 3 target densities:Sun Jul 12 18:22:41 2026 90Sun Jul 12 18:22:41 2026 110Sun Jul 12 18:22:41 2026 130Sun Jul 12 18:22:41 2026
  21. Sun Jul 12 18:22:41 2026 estimated available RAM is 78540.1 MB
  22. Sun Jul 12 18:22:41 2026 commencing duplicate removal, pass 1
  23. Sun Jul 12 18:23:19 2026 error -1 reading relation 31730688
  24. Sun Jul 12 18:23:45 2026 error -1 reading relation 51236865
  25. Sun Jul 12 18:24:58 2026 error -1 reading relation 119942849
  26. Sun Jul 12 18:25:02 2026 error -1 reading relation 122075161
  27. Sun Jul 12 18:25:11 2026 error -1 reading relation 125771959
  28. Sun Jul 12 18:25:12 2026 error -1 reading relation 126271268
  29. Sun Jul 12 18:25:19 2026 error -1 reading relation 129477625
  30. Sun Jul 12 18:25:43 2026 error -1 reading relation 138658213
  31. Sun Jul 12 18:26:53 2026 error -1 reading relation 153224353
  32. Sun Jul 12 18:27:45 2026 error -1 reading relation 163582714
  33. Sun Jul 12 18:28:01 2026 error -1 reading relation 168042907
  34. Sun Jul 12 18:28:09 2026 error -1 reading relation 170152464
  35. Sun Jul 12 18:28:26 2026 error -1 reading relation 175479430
  36. Sun Jul 12 18:28:47 2026 error -1 reading relation 182622078
  37. Sun Jul 12 18:28:48 2026 error -1 reading relation 182818748
  38. Sun Jul 12 18:29:15 2026 error -1 reading relation 188921902
  39. Sun Jul 12 18:29:20 2026 error -1 reading relation 191412548
  40. Sun Jul 12 18:29:37 2026 error -1 reading relation 199994931
  41. Sun Jul 12 18:29:37 2026 error -1 reading relation 200177401
  42. Sun Jul 12 18:29:37 2026 error -1 reading relation 200258762
  43. Sun Jul 12 18:29:43 2026 error -1 reading relation 202745858
  44. Sun Jul 12 18:29:43 2026 error -1 reading relation 202745859
  45. Sun Jul 12 18:29:43 2026 error -1 reading relation 202765632
  46. Sun Jul 12 18:29:47 2026 error -1 reading relation 204793165
  47. Sun Jul 12 18:29:48 2026 error -1 reading relation 205162480
  48. Sun Jul 12 18:29:49 2026 error -1 reading relation 205409891
  49. Sun Jul 12 18:29:49 2026 error -1 reading relation 205672153
  50. Sun Jul 12 18:29:52 2026 error -1 reading relation 207145575
  51. Sun Jul 12 18:29:54 2026 error -1 reading relation 207756068
  52. Sun Jul 12 18:30:00 2026 error -1 reading relation 210641079
  53. Sun Jul 12 18:30:06 2026 error -1 reading relation 213709359
  54. Sun Jul 12 18:30:06 2026 error -1 reading relation 213716153
  55. Sun Jul 12 18:30:49 2026 error -1 reading relation 236506002
  56. Sun Jul 12 18:30:51 2026 error -1 reading relation 237476208
  57. Sun Jul 12 18:31:33 2026 error -1 reading relation 257317325
  58. Sun Jul 12 18:32:23 2026 error -1 reading relation 277290072
  59. Sun Jul 12 18:32:46 2026 error -1 reading relation 287489539
  60. Sun Jul 12 18:33:09 2026 error -1 reading relation 297406797
  61. Sun Jul 12 18:33:36 2026 error -1 reading relation 306750414
  62. Sun Jul 12 18:33:39 2026 error -11 reading relation 309106998
  63. Sun Jul 12 18:33:41 2026 error -1 reading relation 309851229
  64. Sun Jul 12 18:34:12 2026 skipped 1 relations with composite factors
  65. Sun Jul 12 18:34:12 2026 skipped 320 malformed relations
  66. Sun Jul 12 18:34:12 2026 found 62395721 hash collisions in 322459350 relations
  67. Sun Jul 12 18:34:33 2026 added 122382 free relations
  68. Sun Jul 12 18:34:33 2026 commencing duplicate removal, pass 2
  69. Sun Jul 12 18:39:05 2026 found 65136912 duplicates and 257444820 unique relations
  70. Sun Jul 12 18:39:05 2026 memory use: 1705.5 MB
  71. Sun Jul 12 18:39:05 2026 reading ideals above 720000
  72. Sun Jul 12 18:39:05 2026 commencing singleton removal, initial pass
  73. Sun Jul 12 18:51:21 2026 memory use: 6024.0 MB
  74. Sun Jul 12 18:51:21 2026 reading all ideals from disk
  75. Sun Jul 12 18:51:28 2026 memory use: 12141.3 MB
  76. Sun Jul 12 18:51:52 2026 keeping 242790448 ideals with weight <= 200, target excess is 1256352
  77. Sun Jul 12 18:52:13 2026 commencing in-memory singleton removal
  78. Sun Jul 12 18:52:16 2026 begin with 257444820 relations and 242790448 unique ideals
  79. Sun Jul 12 18:52:34 2026 reduce to 154007122 relations and 127962497 ideals in 15 passes
  80. Sun Jul 12 18:52:34 2026 max relations containing the same ideal: 153
  81. Sun Jul 12 18:53:12 2026 removing 12282554 relations and 10282554 ideals in 2000000 cliques
  82. Sun Jul 12 18:53:15 2026 commencing in-memory singleton removal
  83. Sun Jul 12 18:53:17 2026 begin with 141724568 relations and 127962497 unique ideals
  84. Sun Jul 12 18:53:24 2026 reduce to 140957268 relations and 116899407 ideals in 9 passes
  85. Sun Jul 12 18:53:24 2026 max relations containing the same ideal: 144
  86. Sun Jul 12 18:53:59 2026 removing 9375769 relations and 7375769 ideals in 2000000 cliques
  87. Sun Jul 12 18:54:02 2026 commencing in-memory singleton removal
  88. Sun Jul 12 18:54:03 2026 begin with 131581499 relations and 116899407 unique ideals
  89. Sun Jul 12 18:54:10 2026 reduce to 131068883 relations and 109003487 ideals in 9 passes
  90. Sun Jul 12 18:54:10 2026 max relations containing the same ideal: 137
  91. Sun Jul 12 18:54:44 2026 removing 8500181 relations and 6500181 ideals in 2000000 cliques
  92. Sun Jul 12 18:54:46 2026 commencing in-memory singleton removal
  93. Sun Jul 12 18:54:48 2026 begin with 122568702 relations and 109003487 unique ideals
  94. Sun Jul 12 18:54:54 2026 reduce to 122112647 relations and 102040515 ideals in 8 passes
  95. Sun Jul 12 18:54:54 2026 max relations containing the same ideal: 131
  96. Sun Jul 12 18:55:25 2026 removing 8053671 relations and 6053671 ideals in 2000000 cliques
  97. Sun Jul 12 18:55:27 2026 commencing in-memory singleton removal
  98. Sun Jul 12 18:55:27 2026 begin with 114058976 relations and 102040515 unique ideals
  99. Sun Jul 12 18:55:33 2026 reduce to 113621442 relations and 95542669 ideals in 8 passes
  100. Sun Jul 12 18:55:33 2026 max relations containing the same ideal: 126
  101. Sun Jul 12 18:56:02 2026 removing 7786239 relations and 5786239 ideals in 2000000 cliques
  102. Sun Jul 12 18:56:04 2026 commencing in-memory singleton removal
  103. Sun Jul 12 18:56:05 2026 begin with 105835203 relations and 95542669 unique ideals
  104. Sun Jul 12 18:56:10 2026 reduce to 105395400 relations and 89309592 ideals in 8 passes
  105. Sun Jul 12 18:56:10 2026 max relations containing the same ideal: 120
  106. Sun Jul 12 18:56:37 2026 removing 7619838 relations and 5619838 ideals in 2000000 cliques
  107. Sun Jul 12 18:56:39 2026 commencing in-memory singleton removal
  108. Sun Jul 12 18:56:40 2026 begin with 97775562 relations and 89309592 unique ideals
  109. Sun Jul 12 18:56:44 2026 reduce to 97329751 relations and 83236375 ideals in 7 passes
  110. Sun Jul 12 18:56:44 2026 max relations containing the same ideal: 112
  111. Sun Jul 12 18:57:10 2026 removing 7517151 relations and 5517151 ideals in 2000000 cliques
  112. Sun Jul 12 18:57:12 2026 commencing in-memory singleton removal
  113. Sun Jul 12 18:57:12 2026 begin with 89812600 relations and 83236375 unique ideals
  114. Sun Jul 12 18:57:17 2026 reduce to 89346653 relations and 77244751 ideals in 8 passes
  115. Sun Jul 12 18:57:17 2026 max relations containing the same ideal: 105
  116. Sun Jul 12 18:57:40 2026 removing 7465396 relations and 5465396 ideals in 2000000 cliques
  117. Sun Jul 12 18:57:42 2026 commencing in-memory singleton removal
  118. Sun Jul 12 18:57:43 2026 begin with 81881257 relations and 77244751 unique ideals
  119. Sun Jul 12 18:57:46 2026 reduce to 81381052 relations and 71269494 ideals in 8 passes
  120. Sun Jul 12 18:57:46 2026 max relations containing the same ideal: 99
  121. Sun Jul 12 18:58:08 2026 removing 7452654 relations and 5452654 ideals in 2000000 cliques
  122. Sun Jul 12 18:58:10 2026 commencing in-memory singleton removal
  123. Sun Jul 12 18:58:11 2026 begin with 73928398 relations and 71269494 unique ideals
  124. Sun Jul 12 18:58:14 2026 reduce to 73385484 relations and 65262402 ideals in 8 passes
  125. Sun Jul 12 18:58:14 2026 max relations containing the same ideal: 95
  126. Sun Jul 12 18:58:34 2026 removing 7474420 relations and 5474420 ideals in 2000000 cliques
  127. Sun Jul 12 18:58:35 2026 commencing in-memory singleton removal
  128. Sun Jul 12 18:58:36 2026 begin with 65911064 relations and 65262402 unique ideals
  129. Sun Jul 12 18:58:39 2026 reduce to 65312138 relations and 59175168 ideals in 8 passes
  130. Sun Jul 12 18:58:39 2026 max relations containing the same ideal: 86
  131. Sun Jul 12 18:58:58 2026 removing 7528557 relations and 5528557 ideals in 2000000 cliques
  132. Sun Jul 12 18:58:59 2026 commencing in-memory singleton removal
  133. Sun Jul 12 18:59:00 2026 begin with 57783581 relations and 59175168 unique ideals
  134. Sun Jul 12 18:59:03 2026 reduce to 57102348 relations and 52947592 ideals in 8 passes
  135. Sun Jul 12 18:59:03 2026 max relations containing the same ideal: 80
  136. Sun Jul 12 18:59:18 2026 removing 7614877 relations and 5614877 ideals in 2000000 cliques
  137. Sun Jul 12 18:59:19 2026 commencing in-memory singleton removal
  138. Sun Jul 12 18:59:20 2026 begin with 49487471 relations and 52947592 unique ideals
  139. Sun Jul 12 18:59:22 2026 reduce to 48688456 relations and 46509997 ideals in 8 passes
  140. Sun Jul 12 18:59:22 2026 max relations containing the same ideal: 71
  141. Sun Jul 12 18:59:36 2026 removing 3476787 relations and 2755697 ideals in 721090 cliques
  142. Sun Jul 12 18:59:36 2026 commencing in-memory singleton removal
  143. Sun Jul 12 18:59:36 2026 begin with 45211669 relations and 46509997 unique ideals
  144. Sun Jul 12 18:59:38 2026 reduce to 45036227 relations and 43576582 ideals in 7 passes
  145. Sun Jul 12 18:59:38 2026 max relations containing the same ideal: 66
  146. Sun Jul 12 18:59:52 2026 trying target density 90
  147. Sun Jul 12 18:59:55 2026 relations with 0 large ideals: 4654
  148. Sun Jul 12 18:59:55 2026 relations with 1 large ideals: 33552
  149. Sun Jul 12 18:59:55 2026 relations with 2 large ideals: 441055
  150. Sun Jul 12 18:59:55 2026 relations with 3 large ideals: 2391511
  151. Sun Jul 12 18:59:55 2026 relations with 4 large ideals: 6908981
  152. Sun Jul 12 18:59:55 2026 relations with 5 large ideals: 11685300
  153. Sun Jul 12 18:59:55 2026 relations with 6 large ideals: 12145396
  154. Sun Jul 12 18:59:55 2026 relations with 7+ large ideals: 11425778
  155. Sun Jul 12 18:59:55 2026 commencing 2-way merge
  156. Sun Jul 12 19:00:14 2026 reduce to 28034381 relation sets and 26574736 unique ideals
  157. Sun Jul 12 19:00:14 2026 commencing full merge
  158. Sun Jul 12 19:05:44 2026 memory use: 3211.4 MB
  159. Sun Jul 12 19:05:47 2026 found 13914164 cycles, need 13718936
  160. Sun Jul 12 19:05:50 2026 weight of 13718936 cycles is about 1234802892 (90.01/cycle)
  161. Sun Jul 12 19:05:49 2026 distribution of cycle lengths:
  162. Sun Jul 12 19:05:49 2026 1 relations: 1221129
  163. Sun Jul 12 19:05:49 2026 2 relations: 1318524
  164. Sun Jul 12 19:05:49 2026 3 relations: 1353477
  165. Sun Jul 12 19:05:49 2026 4 relations: 1281083
  166. Sun Jul 12 19:05:49 2026 5 relations: 1237721
  167. Sun Jul 12 19:05:49 2026 6 relations: 1171595
  168. Sun Jul 12 19:05:49 2026 7 relations: 1083721
  169. Sun Jul 12 19:05:49 2026 8 relations: 977699
  170. Sun Jul 12 19:05:49 2026 9 relations: 864288
  171. Sun Jul 12 19:05:49 2026 10+ relations: 3209699
  172. Sun Jul 12 19:05:49 2026 heaviest cycle: 21 relations
  173. Sun Jul 12 19:05:52 2026 commencing cycle optimization
  174. Sun Jul 12 19:06:10 2026 start with 89707568 relations
  175. Sun Jul 12 19:07:56 2026 pruned 2786701 relations
  176. Sun Jul 12 19:07:57 2026 memory use: 2764.5 MB
  177. Sun Jul 12 19:07:57 2026 distribution of cycle lengths:
  178. Sun Jul 12 19:07:57 2026 1 relations: 1221129
  179. Sun Jul 12 19:07:57 2026 2 relations: 1350306
  180. Sun Jul 12 19:07:57 2026 3 relations: 1405092
  181. Sun Jul 12 19:07:57 2026 4 relations: 1322092
  182. Sun Jul 12 19:07:57 2026 5 relations: 1281621
  183. Sun Jul 12 19:07:57 2026 6 relations: 1206916
  184. Sun Jul 12 19:07:57 2026 7 relations: 1115376
  185. Sun Jul 12 19:07:57 2026 8 relations: 998653
  186. Sun Jul 12 19:07:57 2026 9 relations: 875753
  187. Sun Jul 12 19:07:57 2026 10+ relations: 2941998
  188. Sun Jul 12 19:07:57 2026 heaviest cycle: 21 relations
  189. Sun Jul 12 19:08:15 2026 trying target density 110
  190. Sun Jul 12 19:08:18 2026 relations with 0 large ideals: 4654
  191. Sun Jul 12 19:08:18 2026 relations with 1 large ideals: 33552
  192. Sun Jul 12 19:08:18 2026 relations with 2 large ideals: 441055
  193. Sun Jul 12 19:08:18 2026 relations with 3 large ideals: 2391511
  194. Sun Jul 12 19:08:18 2026 relations with 4 large ideals: 6908981
  195. Sun Jul 12 19:08:18 2026 relations with 5 large ideals: 11685300
  196. Sun Jul 12 19:08:18 2026 relations with 6 large ideals: 12145396
  197. Sun Jul 12 19:08:18 2026 relations with 7+ large ideals: 11425778
  198. Sun Jul 12 19:08:18 2026 commencing 2-way merge
  199. Sun Jul 12 19:08:35 2026 reduce to 28034381 relation sets and 26574736 unique ideals
  200. Sun Jul 12 19:08:35 2026 commencing full merge
  201. Sun Jul 12 19:15:20 2026 memory use: 3298.0 MB
  202. Sun Jul 12 19:15:22 2026 found 12989131 cycles, need 12832936
  203. Sun Jul 12 19:15:25 2026 weight of 12832936 cycles is about 1412289191 (110.05/cycle)
  204. Sun Jul 12 19:15:25 2026 distribution of cycle lengths:
  205. Sun Jul 12 19:15:25 2026 1 relations: 782891
  206. Sun Jul 12 19:15:25 2026 2 relations: 980619
  207. Sun Jul 12 19:15:25 2026 3 relations: 1041193
  208. Sun Jul 12 19:15:25 2026 4 relations: 1021436
  209. Sun Jul 12 19:15:25 2026 5 relations: 1001518
  210. Sun Jul 12 19:15:25 2026 6 relations: 971550
  211. Sun Jul 12 19:15:25 2026 7 relations: 923275
  212. Sun Jul 12 19:15:25 2026 8 relations: 874921
  213. Sun Jul 12 19:15:25 2026 9 relations: 813537
  214. Sun Jul 12 19:15:25 2026 10+ relations: 4421996
  215. Sun Jul 12 19:15:25 2026 heaviest cycle: 26 relations
  216. Sun Jul 12 19:15:27 2026 commencing cycle optimization
  217. Sun Jul 12 19:15:47 2026 start with 102279596 relations
  218. Sun Jul 12 19:18:16 2026 pruned 3908200 relations
  219. Sun Jul 12 19:18:16 2026 memory use: 2897.5 MB
  220. Sun Jul 12 19:18:16 2026 distribution of cycle lengths:
  221. Sun Jul 12 19:18:16 2026 1 relations: 782891
  222. Sun Jul 12 19:18:16 2026 2 relations: 1005584
  223. Sun Jul 12 19:18:16 2026 3 relations: 1084220
  224. Sun Jul 12 19:18:16 2026 4 relations: 1058762
  225. Sun Jul 12 19:18:16 2026 5 relations: 1043837
  226. Sun Jul 12 19:18:16 2026 6 relations: 1009018
  227. Sun Jul 12 19:18:16 2026 7 relations: 961179
  228. Sun Jul 12 19:18:16 2026 8 relations: 905958
  229. Sun Jul 12 19:18:16 2026 9 relations: 840247
  230. Sun Jul 12 19:18:16 2026 10+ relations: 4141240
  231. Sun Jul 12 19:18:16 2026 heaviest cycle: 26 relations
  232. Sun Jul 12 19:18:34 2026 trying target density 130
  233. Sun Jul 12 19:18:37 2026 relations with 0 large ideals: 4654
  234. Sun Jul 12 19:18:37 2026 relations with 1 large ideals: 33552
  235. Sun Jul 12 19:18:37 2026 relations with 2 large ideals: 441055
  236. Sun Jul 12 19:18:37 2026 relations with 3 large ideals: 2391511
  237. Sun Jul 12 19:18:37 2026 relations with 4 large ideals: 6908981
  238. Sun Jul 12 19:18:37 2026 relations with 5 large ideals: 11685300
  239. Sun Jul 12 19:18:37 2026 relations with 6 large ideals: 12145396
  240. Sun Jul 12 19:18:37 2026 relations with 7+ large ideals: 11425778
  241. Sun Jul 12 19:18:37 2026 commencing 2-way merge
  242. Sun Jul 12 19:18:54 2026 reduce to 28034381 relation sets and 26574736 unique ideals
  243. Sun Jul 12 19:18:54 2026 commencing full merge
  244. Sun Jul 12 19:26:42 2026 memory use: 3344.2 MB
  245. Sun Jul 12 19:26:45 2026 found 12229024 cycles, need 12182936
  246. Sun Jul 12 19:26:48 2026 weight of 12182936 cycles is about 1584657595 (130.07/cycle)
  247. Sun Jul 12 19:26:48 2026 distribution of cycle lengths:
  248. Sun Jul 12 19:26:48 2026 1 relations: 516923
  249. Sun Jul 12 19:26:48 2026 2 relations: 757443
  250. Sun Jul 12 19:26:48 2026 3 relations: 839157
  251. Sun Jul 12 19:26:48 2026 4 relations: 836258
  252. Sun Jul 12 19:26:48 2026 5 relations: 834181
  253. Sun Jul 12 19:26:48 2026 6 relations: 815825
  254. Sun Jul 12 19:26:48 2026 7 relations: 790726
  255. Sun Jul 12 19:26:48 2026 8 relations: 764528
  256. Sun Jul 12 19:26:48 2026 9 relations: 725688
  257. Sun Jul 12 19:26:48 2026 10+ relations: 5302207
  258. Sun Jul 12 19:26:48 2026 heaviest cycle: 28 relations
  259. Sun Jul 12 19:26:49 2026 commencing cycle optimization
  260. Sun Jul 12 19:27:10 2026 start with 114318370 relations
  261. Sun Jul 12 19:30:30 2026 pruned 5088018 relations
  262. Sun Jul 12 19:30:30 2026 memory use: 3020.3 MB
  263. Sun Jul 12 19:30:30 2026 distribution of cycle lengths:
  264. Sun Jul 12 19:30:30 2026 1 relations: 516923
  265. Sun Jul 12 19:30:30 2026 2 relations: 777712
  266. Sun Jul 12 19:30:30 2026 3 relations: 875315
  267. Sun Jul 12 19:30:30 2026 4 relations: 869350
  268. Sun Jul 12 19:30:30 2026 5 relations: 872410
  269. Sun Jul 12 19:30:30 2026 6 relations: 851394
  270. Sun Jul 12 19:30:30 2026 7 relations: 828512
  271. Sun Jul 12 19:30:30 2026 8 relations: 798425
  272. Sun Jul 12 19:30:30 2026 9 relations: 759711
  273. Sun Jul 12 19:30:30 2026 10+ relations: 5033184
  274. Sun Jul 12 19:30:30 2026 heaviest cycle: 28 relations
  275. Sun Jul 12 19:30:45 2026 RelProcTime: 4084
  276. Sun Jul 12 19:30:48 2026
  277. Sun Jul 12 19:30:48 2026 commencing linear algebra
  278. Sun Jul 12 19:30:48 2026 using VBITS=256
  279. Sun Jul 12 19:30:48 2026 building matrices for all densities
  280. Sun Jul 12 19:30:48 2026 found 3 density files
  281. Sun Jul 12 19:30:48 2026 building matrix for density 90
  282. Sun Jul 12 19:30:48 2026 read 13718936 cycles
  283. Sun Jul 12 19:31:02 2026 cycles contain 44137119 unique relations
  284. Sun Jul 12 19:31:29 2026 read 44137119 relations
  285. Sun Jul 12 19:31:36 2026 using 20 quadratic characters above 4294917295
  286. Sun Jul 12 19:31:44 2026 building initial matrix
  287. Sun Jul 12 19:36:44 2026 memory use: 6023.4 MB
  288. Sun Jul 12 19:36:48 2026 read 13718936 cycles
  289. Sun Jul 12 19:36:50 2026 matrix is 13718754 x 13718936 (5066.7 MB) with weight 1563047035 (113.93/col)
  290. Sun Jul 12 19:36:50 2026 sparse part has weight 1177304152 (85.82/col)
  291. Sun Jul 12 19:38:05 2026 filtering completed in 2 passes
  292. Sun Jul 12 19:38:08 2026 matrix is 13715317 x 13715497 (5066.4 MB) with weight 1562905937 (113.95/col)
  293. Sun Jul 12 19:38:08 2026 sparse part has weight 1177261121 (85.83/col)
  294. Sun Jul 12 19:38:28 2026 building matrix for density 110
  295. Sun Jul 12 19:38:28 2026 read 12832936 cycles
  296. Sun Jul 12 19:38:42 2026 cycles contain 44145151 unique relations
  297. Sun Jul 12 19:39:05 2026 read 44145151 relations
  298. Sun Jul 12 19:39:12 2026 using 20 quadratic characters above 4294917295
  299. Sun Jul 12 19:39:22 2026 building initial matrix
  300. Sun Jul 12 19:45:24 2026 memory use: 6009.0 MB
  301. Sun Jul 12 19:45:27 2026 read 12832936 cycles
  302. Sun Jul 12 19:45:29 2026 matrix is 12832757 x 12832936 (5603.4 MB) with weight 1711223990 (133.35/col)
  303. Sun Jul 12 19:45:29 2026 sparse part has weight 1327734423 (103.46/col)
  304. Sun Jul 12 19:47:08 2026 filtering completed in 2 passes
  305. Sun Jul 12 19:47:11 2026 matrix is 12831225 x 12831403 (5603.2 MB) with weight 1711151860 (133.36/col)
  306. Sun Jul 12 19:47:11 2026 sparse part has weight 1327709764 (103.47/col)
  307. Sun Jul 12 19:47:34 2026 building matrix for density 130
  308. Sun Jul 12 19:47:35 2026 read 12182936 cycles
  309. Sun Jul 12 19:47:49 2026 cycles contain 44143369 unique relations
  310. Sun Jul 12 19:48:14 2026 read 44143369 relations
  311. Sun Jul 12 19:48:20 2026 using 20 quadratic characters above 4294917295
  312. Sun Jul 12 19:48:29 2026 building initial matrix
  313. Sun Jul 12 19:55:29 2026 memory use: 6030.5 MB
  314. Sun Jul 12 19:55:32 2026 read 12182936 cycles
  315. Sun Jul 12 19:55:33 2026 matrix is 12182758 x 12182936 (6121.8 MB) with weight 1852740437 (152.08/col)
  316. Sun Jul 12 19:55:33 2026 sparse part has weight 1470789964 (120.73/col)
  317. Sun Jul 12 19:57:01 2026 filtering completed in 2 passes
  318. Sun Jul 12 19:57:04 2026 matrix is 12182461 x 12182638 (6121.8 MB) with weight 1852726615 (152.08/col)
  319. Sun Jul 12 19:57:04 2026 sparse part has weight 1470786093 (120.73/col)
  320. Sun Jul 12 19:57:25 2026 BLanczosTime: 1597
  321. Sun Jul 12 19:57:25 2026 elapsed time 01:34:45
  322. Mon Jul 13 01:21:46 2026
  323. Mon Jul 13 01:21:46 2026
  324. Mon Jul 13 01:21:46 2026 Msieve v. 1.54 (SVN unknown)
  325. Mon Jul 13 01:21:46 2026 random seeds: 41fc5619 215a905f
  326. Mon Jul 13 01:21:46 2026 Using 8 OpenMP threads
  327. Mon Jul 13 01:21:46 2026 factoring 19201241781666566957161086288491477574853536522933539452254050585755453909153825889672189006148728271788423048699845425455418718481533767183223252110178952662294252381159087 (173 digits)
  328. Mon Jul 13 01:21:47 2026 no P-1/P+1/ECM available, skipping
  329. Mon Jul 13 01:21:47 2026 commencing number field sieve (173-digit input)
  330. Mon Jul 13 01:21:47 2026 R0: -3220327207952268768455659733517876
  331. Mon Jul 13 01:21:47 2026 R1: 5360003536552073690563
  332. Mon Jul 13 01:21:47 2026 A0: 45160425827047166897048620913848720457725
  333. Mon Jul 13 01:21:47 2026 A1: -11250027905142034892887213204592650
  334. Mon Jul 13 01:21:47 2026 A2: 114359667321009496212626879
  335. Mon Jul 13 01:21:47 2026 A3: 102003996061734103966
  336. Mon Jul 13 01:21:47 2026 A4: 466766033760
  337. Mon Jul 13 01:21:47 2026 A5: 55440
  338. Mon Jul 13 01:21:47 2026 skew 17654092.60, size 1.077e-16, alpha -6.863, combined = 3.101e-13 rroots = 1
  339. Mon Jul 13 01:21:47 2026
  340. Mon Jul 13 01:21:47 2026 commencing linear algebra
  341. Mon Jul 13 01:21:47 2026 using VBITS=256
  342. Mon Jul 13 01:21:47 2026 skipping matrix build
  343. Mon Jul 13 01:21:52 2026 matrix starts at (0, 0)
  344. Mon Jul 13 01:21:53 2026 matrix is 12182461 x 12182638 (6121.8 MB) with weight 1852726615 (152.08/col)
  345. Mon Jul 13 01:21:53 2026 sparse part has weight 1470786093 (120.73/col)
  346. Mon Jul 13 01:21:53 2026 saving the first 240 matrix rows for later
  347. Mon Jul 13 01:21:56 2026 matrix includes 256 packed rows
  348. Mon Jul 13 01:22:01 2026 matrix is 12182221 x 12182638 (5548.0 MB) with weight 1339404213 (109.94/col)
  349. Mon Jul 13 01:22:01 2026 sparse part has weight 1259450260 (103.38/col)
  350. Mon Jul 13 01:22:01 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  351. Mon Jul 13 01:22:01 2026 selected card has CUDA arch 12.0
  352. Mon Jul 13 01:22:03 2026 computed block_nnz 162603860 (L2 cache 100663296 bytes, average column weight 103.4)
  353. Mon Jul 13 01:22:03 2026 nonzeros per matrix block: 256000000
  354. Mon Jul 13 01:23:59 2026 commencing Lanczos iteration
  355. Mon Jul 13 01:24:00 2026 memory use: 13094.3 MB
  356. Mon Jul 13 01:24:12 2026 linear algebra at 0.3%, ETA 1h12m
  357. Mon Jul 13 01:24:28 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions
  358. Mon Jul 13 02:36:13 2026 lanczos halted after 47731 iterations (dim = 12182219)
  359. Mon Jul 13 02:37:24 2026 recovered 29 nontrivial dependencies
  360. Mon Jul 13 02:37:25 2026 BLanczosTime: 4538
  361. Mon Jul 13 02:37:25 2026 elapsed time 01:15:39
  362. Sun Jul 12 22:48:15 2026
  363. Sun Jul 12 22:48:15 2026
  364. Sun Jul 12 22:48:15 2026 Msieve v. 1.54 (SVN unknown)
  365. Sun Jul 12 22:48:15 2026 random seeds: 7358beb6 f6a518b4
  366. Sun Jul 12 22:48:15 2026 Using 8 OpenMP threads
  367. Sun Jul 12 22:48:15 2026 factoring 19201241781666566957161086288491477574853536522933539452254050585755453909153825889672189006148728271788423048699845425455418718481533767183223252110178952662294252381159087 (173 digits)
  368. Sun Jul 12 22:48:16 2026 no P-1/P+1/ECM available, skipping
  369. Sun Jul 12 22:48:16 2026 commencing number field sieve (173-digit input)
  370. Sun Jul 12 22:48:16 2026 R0: -3220327207952268768455659733517876
  371. Sun Jul 12 22:48:16 2026 R1: 5360003536552073690563
  372. Sun Jul 12 22:48:16 2026 A0: 45160425827047166897048620913848720457725
  373. Sun Jul 12 22:48:16 2026 A1: -11250027905142034892887213204592650
  374. Sun Jul 12 22:48:16 2026 A2: 114359667321009496212626879
  375. Sun Jul 12 22:48:16 2026 A3: 102003996061734103966
  376. Sun Jul 12 22:48:16 2026 A4: 466766033760
  377. Sun Jul 12 22:48:16 2026 A5: 55440
  378. Sun Jul 12 22:48:16 2026 skew 17654092.60, size 1.077e-16, alpha -6.863, combined = 3.101e-13 rroots = 1
  379. Sun Jul 12 22:48:16 2026
  380. Sun Jul 12 22:48:16 2026 commencing square root phase
  381. Sun Jul 12 22:48:16 2026 reading relations for dependency 1
  382. Sun Jul 12 22:48:19 2026 read 6091230 cycles
  383. Sun Jul 12 22:48:35 2026 cycles contain 22073768 unique relations
  384. Sun Jul 12 22:51:42 2026 read 22073768 relations
  385. Sun Jul 12 22:53:46 2026 multiplying 22073768 relations
  386. Sun Jul 12 22:57:11 2026 multiply complete, coefficients have about 1187.47 million bits
  387. Sun Jul 12 22:57:14 2026 initial square root is modulo 212167
  388. Sun Jul 12 23:05:08 2026 GCD is 1, no factor found
  389. Sun Jul 12 23:05:08 2026 reading relations for dependency 2
  390. Sun Jul 12 23:05:11 2026 read 6094533 cycles
  391. Sun Jul 12 23:05:31 2026 cycles contain 22078600 unique relations
  392. Sun Jul 12 23:07:05 2026 read 22078600 relations
  393. Sun Jul 12 23:09:00 2026 multiplying 22078600 relations
  394. Sun Jul 12 23:12:27 2026 multiply complete, coefficients have about 1187.73 million bits
  395. Sun Jul 12 23:12:30 2026 initial square root is modulo 212777
  396. Sun Jul 12 23:18:10 2026 sqrtTime: 1794
  397. Sun Jul 12 23:18:10 2026 p66 factor: 473578410462988487764502364317053115855938595842058398573122943273
  398. Sun Jul 12 23:18:10 2026 p107 factor: 40545010831246917920111068398361469457706396004161668295109984870368471896236529595252989626511464074935319
  399. Sun Jul 12 23:18:10 2026 elapsed time 00:29:55
  400.  
Tags: math
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