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kyleaskine
Jul 20th, 2026
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  1. Mon Jul 20 17:31:22 2026
  2. Mon Jul 20 17:31:22 2026
  3. Mon Jul 20 17:31:22 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Jul 20 17:31:22 2026 random seeds: c998db94 d3d38d53
  5. Mon Jul 20 17:31:22 2026 Using 14 OpenMP threads
  6. Mon Jul 20 17:31:22 2026 factoring 4330994968201018701139098976660183519587615413782220412731058446183022082437823539928910788909461403147099463390152114804476381191154647564266703211154253527178991902537711 (172 digits)
  7. Mon Jul 20 17:31:23 2026 no P-1/P+1/ECM available, skipping
  8. Mon Jul 20 17:31:23 2026 commencing number field sieve (172-digit input)
  9. Mon Jul 20 17:31:23 2026 reversing signs of algebraic polynomial
  10. Mon Jul 20 17:31:23 2026 R0: -3561381403967690565374079691101412
  11. Mon Jul 20 17:31:23 2026 R1: 2173892954669289519709
  12. Mon Jul 20 17:31:23 2026 A0: -120548508686992301790700305854082692782890
  13. Mon Jul 20 17:31:23 2026 A1: 105392062305372787326964620750363031
  14. Mon Jul 20 17:31:23 2026 A2: 6138860901657246600461920872
  15. Mon Jul 20 17:31:23 2026 A3: -68256041365682179417
  16. Mon Jul 20 17:31:23 2026 A4: -4542668431248
  17. Mon Jul 20 17:31:23 2026 A5: 45360
  18. Mon Jul 20 17:31:23 2026 skew 37410563.78, size 1.566e-16, alpha -8.232, combined = 3.892e-13 rroots = 3
  19. Mon Jul 20 17:31:23 2026
  20. Mon Jul 20 17:31:23 2026 commencing relation filtering
  21. Mon Jul 20 17:31:23 2026 setting 3 target densities:Mon Jul 20 17:31:23 2026 90Mon Jul 20 17:31:23 2026 110Mon Jul 20 17:31:23 2026 130Mon Jul 20 17:31:23 2026
  22. Mon Jul 20 17:31:23 2026 reversing signs of algebraic polynomial
  23. Mon Jul 20 17:31:23 2026 estimated available RAM is 78540.1 MB
  24. Mon Jul 20 17:31:23 2026 commencing duplicate removal, pass 1
  25. Mon Jul 20 17:31:37 2026 error -1 reading relation 14518466
  26. Mon Jul 20 17:32:13 2026 error -1 reading relation 52562063
  27. Mon Jul 20 17:32:16 2026 error -1 reading relation 57353495
  28. Mon Jul 20 17:32:19 2026 error -1 reading relation 60273333
  29. Mon Jul 20 17:32:22 2026 error -1 reading relation 63442196
  30. Mon Jul 20 17:32:23 2026 error -1 reading relation 64328379
  31. Mon Jul 20 17:34:37 2026 error -1 reading relation 209249885
  32. Mon Jul 20 17:34:59 2026 error -1 reading relation 234525872
  33. Mon Jul 20 17:34:59 2026 error -1 reading relation 234975681
  34. Mon Jul 20 17:35:08 2026 error -1 reading relation 242702223
  35. Mon Jul 20 17:35:11 2026 error -1 reading relation 245880243
  36. Mon Jul 20 17:35:17 2026 error -1 reading relation 250944479
  37. Mon Jul 20 17:35:18 2026 skipped 1 relations with composite factors
  38. Mon Jul 20 17:35:18 2026 skipped 150 malformed relations
  39. Mon Jul 20 17:35:18 2026 found 50690655 hash collisions in 251633226 relations
  40. Mon Jul 20 17:35:29 2026 added 121686 free relations
  41. Mon Jul 20 17:35:29 2026 commencing duplicate removal, pass 2
  42. Mon Jul 20 17:37:07 2026 found 50580941 duplicates and 201173971 unique relations
  43. Mon Jul 20 17:37:07 2026 memory use: 1449.5 MB
  44. Mon Jul 20 17:37:07 2026 reading ideals above 720000
  45. Mon Jul 20 17:37:07 2026 commencing singleton removal, initial pass
  46. Mon Jul 20 17:44:56 2026 memory use: 5512.0 MB
  47. Mon Jul 20 17:44:56 2026 reading all ideals from disk
  48. Mon Jul 20 17:45:02 2026 memory use: 9407.8 MB
  49. Mon Jul 20 17:45:16 2026 keeping 192407169 ideals with weight <= 200, target excess is 987695
  50. Mon Jul 20 17:45:32 2026 commencing in-memory singleton removal
  51. Mon Jul 20 17:45:34 2026 begin with 201173971 relations and 192407169 unique ideals
  52. Mon Jul 20 17:45:50 2026 reduce to 115538290 relations and 97113289 ideals in 14 passes
  53. Mon Jul 20 17:45:50 2026 max relations containing the same ideal: 150
  54. Mon Jul 20 17:46:20 2026 removing 11337426 relations and 9337426 ideals in 2000000 cliques
  55. Mon Jul 20 17:46:21 2026 commencing in-memory singleton removal
  56. Mon Jul 20 17:46:22 2026 begin with 104200864 relations and 97113289 unique ideals
  57. Mon Jul 20 17:46:28 2026 reduce to 103343241 relations and 86899453 ideals in 8 passes
  58. Mon Jul 20 17:46:28 2026 max relations containing the same ideal: 135
  59. Mon Jul 20 17:46:53 2026 removing 8749757 relations and 6749757 ideals in 2000000 cliques
  60. Mon Jul 20 17:46:56 2026 commencing in-memory singleton removal
  61. Mon Jul 20 17:46:57 2026 begin with 94593484 relations and 86899453 unique ideals
  62. Mon Jul 20 17:47:02 2026 reduce to 93995140 relations and 79539574 ideals in 8 passes
  63. Mon Jul 20 17:47:02 2026 max relations containing the same ideal: 129
  64. Mon Jul 20 17:47:26 2026 removing 7995192 relations and 5995192 ideals in 2000000 cliques
  65. Mon Jul 20 17:47:28 2026 commencing in-memory singleton removal
  66. Mon Jul 20 17:47:29 2026 begin with 85999948 relations and 79539574 unique ideals
  67. Mon Jul 20 17:47:33 2026 reduce to 85446922 relations and 72980127 ideals in 8 passes
  68. Mon Jul 20 17:47:33 2026 max relations containing the same ideal: 123
  69. Mon Jul 20 17:47:57 2026 removing 7637672 relations and 5637672 ideals in 2000000 cliques
  70. Mon Jul 20 17:47:59 2026 commencing in-memory singleton removal
  71. Mon Jul 20 17:47:59 2026 begin with 77809250 relations and 72980127 unique ideals
  72. Mon Jul 20 17:48:04 2026 reduce to 77259181 relations and 66780599 ideals in 8 passes
  73. Mon Jul 20 17:48:04 2026 max relations containing the same ideal: 115
  74. Mon Jul 20 17:48:24 2026 removing 7445180 relations and 5445180 ideals in 2000000 cliques
  75. Mon Jul 20 17:48:26 2026 commencing in-memory singleton removal
  76. Mon Jul 20 17:48:27 2026 begin with 69814001 relations and 66780599 unique ideals
  77. Mon Jul 20 17:48:30 2026 reduce to 69243331 relations and 60751558 ideals in 8 passes
  78. Mon Jul 20 17:48:30 2026 max relations containing the same ideal: 106
  79. Mon Jul 20 17:48:50 2026 removing 7344378 relations and 5344378 ideals in 2000000 cliques
  80. Mon Jul 20 17:48:51 2026 commencing in-memory singleton removal
  81. Mon Jul 20 17:48:52 2026 begin with 61898953 relations and 60751558 unique ideals
  82. Mon Jul 20 17:48:55 2026 reduce to 61285005 relations and 54777872 ideals in 7 passes
  83. Mon Jul 20 17:48:55 2026 max relations containing the same ideal: 100
  84. Mon Jul 20 17:49:15 2026 removing 7306213 relations and 5306213 ideals in 2000000 cliques
  85. Mon Jul 20 17:49:16 2026 commencing in-memory singleton removal
  86. Mon Jul 20 17:49:17 2026 begin with 53978792 relations and 54777872 unique ideals
  87. Mon Jul 20 17:49:20 2026 reduce to 53297882 relations and 48771251 ideals in 9 passes
  88. Mon Jul 20 17:49:20 2026 max relations containing the same ideal: 89
  89. Mon Jul 20 17:49:34 2026 removing 7322004 relations and 5322004 ideals in 2000000 cliques
  90. Mon Jul 20 17:49:35 2026 commencing in-memory singleton removal
  91. Mon Jul 20 17:49:36 2026 begin with 45975878 relations and 48771251 unique ideals
  92. Mon Jul 20 17:49:38 2026 reduce to 45189916 relations and 42637684 ideals in 9 passes
  93. Mon Jul 20 17:49:38 2026 max relations containing the same ideal: 80
  94. Mon Jul 20 17:49:51 2026 removing 5601227 relations and 4194722 ideals in 1406505 cliques
  95. Mon Jul 20 17:49:52 2026 commencing in-memory singleton removal
  96. Mon Jul 20 17:49:52 2026 begin with 39588689 relations and 42637684 unique ideals
  97. Mon Jul 20 17:49:54 2026 reduce to 39067715 relations and 37907776 ideals in 8 passes
  98. Mon Jul 20 17:49:54 2026 max relations containing the same ideal: 71
  99. Mon Jul 20 17:50:06 2026 removing 118512 relations and 104300 ideals in 14212 cliques
  100. Mon Jul 20 17:50:07 2026 commencing in-memory singleton removal
  101. Mon Jul 20 17:50:07 2026 begin with 38949203 relations and 37907776 unique ideals
  102. Mon Jul 20 17:50:08 2026 reduce to 38948982 relations and 37803255 ideals in 5 passes
  103. Mon Jul 20 17:50:08 2026 max relations containing the same ideal: 71
  104. Mon Jul 20 17:50:09 2026 trying target density 90
  105. Mon Jul 20 17:50:12 2026 relations with 0 large ideals: 3701
  106. Mon Jul 20 17:50:12 2026 relations with 1 large ideals: 21466
  107. Mon Jul 20 17:50:12 2026 relations with 2 large ideals: 300957
  108. Mon Jul 20 17:50:12 2026 relations with 3 large ideals: 1732294
  109. Mon Jul 20 17:50:12 2026 relations with 4 large ideals: 5310634
  110. Mon Jul 20 17:50:12 2026 relations with 5 large ideals: 9596467
  111. Mon Jul 20 17:50:12 2026 relations with 6 large ideals: 10716462
  112. Mon Jul 20 17:50:12 2026 relations with 7+ large ideals: 11267001
  113. Mon Jul 20 17:50:12 2026 commencing 2-way merge
  114. Mon Jul 20 17:50:27 2026 reduce to 24635265 relation sets and 23489538 unique ideals
  115. Mon Jul 20 17:50:27 2026 commencing full merge
  116. Mon Jul 20 17:55:32 2026 memory use: 2854.0 MB
  117. Mon Jul 20 17:55:34 2026 found 12240543 cycles, need 12089738
  118. Mon Jul 20 17:55:37 2026 weight of 12089738 cycles is about 1088468780 (90.03/cycle)
  119. Mon Jul 20 17:55:37 2026 distribution of cycle lengths:
  120. Mon Jul 20 17:55:37 2026 1 relations: 1037722
  121. Mon Jul 20 17:55:37 2026 2 relations: 1179989
  122. Mon Jul 20 17:55:37 2026 3 relations: 1220884
  123. Mon Jul 20 17:55:37 2026 4 relations: 1155667
  124. Mon Jul 20 17:55:37 2026 5 relations: 1112097
  125. Mon Jul 20 17:55:37 2026 6 relations: 1044075
  126. Mon Jul 20 17:55:37 2026 7 relations: 957485
  127. Mon Jul 20 17:55:37 2026 8 relations: 854524
  128. Mon Jul 20 17:55:37 2026 9 relations: 747167
  129. Mon Jul 20 17:55:37 2026 10+ relations: 2780128
  130. Mon Jul 20 17:55:37 2026 heaviest cycle: 22 relations
  131. Mon Jul 20 17:55:40 2026 commencing cycle optimization
  132. Mon Jul 20 17:55:57 2026 start with 78958571 relations
  133. Mon Jul 20 17:57:36 2026 pruned 2561148 relations
  134. Mon Jul 20 17:57:37 2026 memory use: 2410.8 MB
  135. Mon Jul 20 17:57:37 2026 distribution of cycle lengths:
  136. Mon Jul 20 17:57:37 2026 1 relations: 1037722
  137. Mon Jul 20 17:57:37 2026 2 relations: 1209664
  138. Mon Jul 20 17:57:37 2026 3 relations: 1270206
  139. Mon Jul 20 17:57:37 2026 4 relations: 1193822
  140. Mon Jul 20 17:57:37 2026 5 relations: 1153265
  141. Mon Jul 20 17:57:37 2026 6 relations: 1075584
  142. Mon Jul 20 17:57:37 2026 7 relations: 985504
  143. Mon Jul 20 17:57:37 2026 8 relations: 871532
  144. Mon Jul 20 17:57:37 2026 9 relations: 754117
  145. Mon Jul 20 17:57:37 2026 10+ relations: 2538322
  146. Mon Jul 20 17:57:37 2026 heaviest cycle: 22 relations
  147. Mon Jul 20 17:57:55 2026 trying target density 110
  148. Mon Jul 20 17:57:58 2026 relations with 0 large ideals: 3701
  149. Mon Jul 20 17:57:58 2026 relations with 1 large ideals: 21466
  150. Mon Jul 20 17:57:58 2026 relations with 2 large ideals: 300957
  151. Mon Jul 20 17:57:58 2026 relations with 3 large ideals: 1732294
  152. Mon Jul 20 17:57:58 2026 relations with 4 large ideals: 5310634
  153. Mon Jul 20 17:57:58 2026 relations with 5 large ideals: 9596467
  154. Mon Jul 20 17:57:58 2026 relations with 6 large ideals: 10716462
  155. Mon Jul 20 17:57:58 2026 relations with 7+ large ideals: 11267001
  156. Mon Jul 20 17:57:58 2026 commencing 2-way merge
  157. Mon Jul 20 17:58:15 2026 reduce to 24635265 relation sets and 23489538 unique ideals
  158. Mon Jul 20 17:58:15 2026 commencing full merge
  159. Mon Jul 20 18:04:32 2026 memory use: 2930.4 MB
  160. Mon Jul 20 18:04:34 2026 found 11427134 cycles, need 11315738
  161. Mon Jul 20 18:04:37 2026 weight of 11315738 cycles is about 1244888420 (110.01/cycle)
  162. Mon Jul 20 18:04:37 2026 distribution of cycle lengths:
  163. Mon Jul 20 18:04:37 2026 1 relations: 658033
  164. Mon Jul 20 18:04:37 2026 2 relations: 874242
  165. Mon Jul 20 18:04:37 2026 3 relations: 938592
  166. Mon Jul 20 18:04:37 2026 4 relations: 921418
  167. Mon Jul 20 18:04:37 2026 5 relations: 903884
  168. Mon Jul 20 18:04:37 2026 6 relations: 871911
  169. Mon Jul 20 18:04:37 2026 7 relations: 825600
  170. Mon Jul 20 18:04:37 2026 8 relations: 775832
  171. Mon Jul 20 18:04:37 2026 9 relations: 714601
  172. Mon Jul 20 18:04:37 2026 10+ relations: 3831625
  173. Mon Jul 20 18:04:37 2026 heaviest cycle: 28 relations
  174. Mon Jul 20 18:04:39 2026 commencing cycle optimization
  175. Mon Jul 20 18:04:55 2026 start with 90020813 relations
  176. Mon Jul 20 18:07:16 2026 pruned 3566699 relations
  177. Mon Jul 20 18:07:17 2026 memory use: 2527.6 MB
  178. Mon Jul 20 18:07:17 2026 distribution of cycle lengths:
  179. Mon Jul 20 18:07:17 2026 1 relations: 658033
  180. Mon Jul 20 18:07:17 2026 2 relations: 897557
  181. Mon Jul 20 18:07:17 2026 3 relations: 979565
  182. Mon Jul 20 18:07:17 2026 4 relations: 956157
  183. Mon Jul 20 18:07:17 2026 5 relations: 944307
  184. Mon Jul 20 18:07:17 2026 6 relations: 905213
  185. Mon Jul 20 18:07:17 2026 7 relations: 860586
  186. Mon Jul 20 18:07:17 2026 8 relations: 802691
  187. Mon Jul 20 18:07:17 2026 9 relations: 737083
  188. Mon Jul 20 18:07:17 2026 10+ relations: 3574546
  189. Mon Jul 20 18:07:17 2026 heaviest cycle: 27 relations
  190. Mon Jul 20 18:07:34 2026 trying target density 130
  191. Mon Jul 20 18:07:37 2026 relations with 0 large ideals: 3701
  192. Mon Jul 20 18:07:37 2026 relations with 1 large ideals: 21466
  193. Mon Jul 20 18:07:37 2026 relations with 2 large ideals: 300957
  194. Mon Jul 20 18:07:37 2026 relations with 3 large ideals: 1732294
  195. Mon Jul 20 18:07:37 2026 relations with 4 large ideals: 5310634
  196. Mon Jul 20 18:07:37 2026 relations with 5 large ideals: 9596467
  197. Mon Jul 20 18:07:37 2026 relations with 6 large ideals: 10716462
  198. Mon Jul 20 18:07:37 2026 relations with 7+ large ideals: 11267001
  199. Mon Jul 20 18:07:37 2026 commencing 2-way merge
  200. Mon Jul 20 18:07:53 2026 reduce to 24635265 relation sets and 23489538 unique ideals
  201. Mon Jul 20 18:07:53 2026 commencing full merge
  202. Mon Jul 20 18:15:08 2026 memory use: 2969.8 MB
  203. Mon Jul 20 18:15:11 2026 found 10754754 cycles, need 10745738
  204. Mon Jul 20 18:15:13 2026 weight of 10745738 cycles is about 1397275363 (130.03/cycle)
  205. Mon Jul 20 18:15:13 2026 distribution of cycle lengths:
  206. Mon Jul 20 18:15:13 2026 1 relations: 425018
  207. Mon Jul 20 18:15:13 2026 2 relations: 674031
  208. Mon Jul 20 18:15:13 2026 3 relations: 755729
  209. Mon Jul 20 18:15:13 2026 4 relations: 752808
  210. Mon Jul 20 18:15:13 2026 5 relations: 752442
  211. Mon Jul 20 18:15:13 2026 6 relations: 735255
  212. Mon Jul 20 18:15:13 2026 7 relations: 712841
  213. Mon Jul 20 18:15:13 2026 8 relations: 683198
  214. Mon Jul 20 18:15:13 2026 9 relations: 644935
  215. Mon Jul 20 18:15:13 2026 10+ relations: 4609481
  216. Mon Jul 20 18:15:13 2026 heaviest cycle: 28 relations
  217. Mon Jul 20 18:15:15 2026 commencing cycle optimization
  218. Mon Jul 20 18:15:33 2026 start with 100617086 relations
  219. Mon Jul 20 18:18:38 2026 pruned 4615444 relations
  220. Mon Jul 20 18:18:38 2026 memory use: 2635.8 MB
  221. Mon Jul 20 18:18:38 2026 distribution of cycle lengths:
  222. Mon Jul 20 18:18:38 2026 1 relations: 425018
  223. Mon Jul 20 18:18:38 2026 2 relations: 692917
  224. Mon Jul 20 18:18:38 2026 3 relations: 789496
  225. Mon Jul 20 18:18:38 2026 4 relations: 784065
  226. Mon Jul 20 18:18:38 2026 5 relations: 789432
  227. Mon Jul 20 18:18:38 2026 6 relations: 768137
  228. Mon Jul 20 18:18:38 2026 7 relations: 747047
  229. Mon Jul 20 18:18:38 2026 8 relations: 713324
  230. Mon Jul 20 18:18:38 2026 9 relations: 675100
  231. Mon Jul 20 18:18:38 2026 10+ relations: 4361202
  232. Mon Jul 20 18:18:38 2026 heaviest cycle: 28 relations
  233. Mon Jul 20 18:18:58 2026 RelProcTime: 2855
  234. Mon Jul 20 18:18:58 2026
  235. Mon Jul 20 18:18:58 2026 commencing linear algebra
  236. Mon Jul 20 18:18:58 2026 using VBITS=256
  237. Mon Jul 20 18:18:58 2026 building matrices for all densities
  238. Mon Jul 20 18:18:58 2026 found 3 density files
  239. Mon Jul 20 18:18:58 2026 building matrix for density 90
  240. Mon Jul 20 18:18:58 2026 reversing signs of algebraic polynomial
  241. Mon Jul 20 18:19:00 2026 read 12089738 cycles
  242. Mon Jul 20 18:19:17 2026 cycles contain 38227262 unique relations
  243. Mon Jul 20 18:22:27 2026 read 38227262 relations
  244. Mon Jul 20 18:22:35 2026 using 20 quadratic characters above 4294917295
  245. Mon Jul 20 18:22:43 2026 building initial matrix
  246. Mon Jul 20 18:28:11 2026 memory use: 5386.8 MB
  247. Mon Jul 20 18:28:17 2026 read 12089738 cycles
  248. Mon Jul 20 18:28:18 2026 matrix is 12089558 x 12089738 (4511.3 MB) with weight 1407712288 (116.44/col)
  249. Mon Jul 20 18:28:18 2026 sparse part has weight 1037535206 (85.82/col)
  250. Mon Jul 20 18:30:45 2026 filtering completed in 2 passes
  251. Mon Jul 20 18:30:49 2026 matrix is 12086789 x 12086969 (4511.0 MB) with weight 1407588815 (116.46/col)
  252. Mon Jul 20 18:30:49 2026 sparse part has weight 1037498859 (85.84/col)
  253. Mon Jul 20 18:31:24 2026 building matrix for density 110
  254. Mon Jul 20 18:31:24 2026 reversing signs of algebraic polynomial
  255. Mon Jul 20 18:31:25 2026 read 11315738 cycles
  256. Mon Jul 20 18:31:50 2026 cycles contain 38236572 unique relations
  257. Mon Jul 20 18:32:54 2026 read 38236572 relations
  258. Mon Jul 20 18:33:07 2026 using 20 quadratic characters above 4294917295
  259. Mon Jul 20 18:33:20 2026 building initial matrix
  260. Mon Jul 20 18:42:24 2026 memory use: 5402.7 MB
  261. Mon Jul 20 18:42:29 2026 read 11315738 cycles
  262. Mon Jul 20 18:42:30 2026 matrix is 11315558 x 11315738 (4980.5 MB) with weight 1538301136 (135.94/col)
  263. Mon Jul 20 18:42:30 2026 sparse part has weight 1169810326 (103.38/col)
  264. Mon Jul 20 18:44:50 2026 filtering completed in 2 passes
  265. Mon Jul 20 18:44:54 2026 matrix is 11314399 x 11314579 (4980.3 MB) with weight 1538241594 (135.95/col)
  266. Mon Jul 20 18:44:54 2026 sparse part has weight 1169791227 (103.39/col)
  267. Mon Jul 20 18:45:30 2026 building matrix for density 130
  268. Mon Jul 20 18:45:30 2026 reversing signs of algebraic polynomial
  269. Mon Jul 20 18:45:32 2026 read 10745738 cycles
  270. Mon Jul 20 18:45:55 2026 cycles contain 38236357 unique relations
  271. Mon Jul 20 18:46:50 2026 read 38236357 relations
  272. Mon Jul 20 18:47:02 2026 using 20 quadratic characters above 4294917295
  273. Mon Jul 20 18:47:17 2026 building initial matrix
  274. Mon Jul 20 18:57:18 2026 memory use: 5421.7 MB
  275. Mon Jul 20 18:57:24 2026 read 10745738 cycles
  276. Mon Jul 20 18:57:26 2026 matrix is 10745561 x 10745738 (5435.4 MB) with weight 1663164787 (154.77/col)
  277. Mon Jul 20 18:57:26 2026 sparse part has weight 1295895878 (120.60/col)
  278. Mon Jul 20 18:59:32 2026 filtering completed in 2 passes
  279. Mon Jul 20 18:59:35 2026 matrix is 10745452 x 10745629 (5435.3 MB) with weight 1663158831 (154.78/col)
  280. Mon Jul 20 18:59:35 2026 sparse part has weight 1295894026 (120.60/col)
  281. Mon Jul 20 19:00:08 2026 BLanczosTime: 2470
  282. Mon Jul 20 19:00:08 2026 elapsed time 01:28:46
  283. Tue Jul 21 02:33:33 2026
  284. Tue Jul 21 02:33:33 2026
  285. Tue Jul 21 02:33:33 2026 Msieve v. 1.54 (SVN unknown)
  286. Tue Jul 21 02:33:33 2026 random seeds: e8f6a6fa 11fb243d
  287. Tue Jul 21 02:33:33 2026 Using 8 OpenMP threads
  288. Tue Jul 21 02:33:33 2026 factoring 4330994968201018701139098976660183519587615413782220412731058446183022082437823539928910788909461403147099463390152114804476381191154647564266703211154253527178991902537711 (172 digits)
  289. Tue Jul 21 02:33:33 2026 no P-1/P+1/ECM available, skipping
  290. Tue Jul 21 02:33:33 2026 commencing number field sieve (172-digit input)
  291. Tue Jul 21 02:33:33 2026 reversing signs of algebraic polynomial
  292. Tue Jul 21 02:33:33 2026 R0: -3561381403967690565374079691101412
  293. Tue Jul 21 02:33:33 2026 R1: 2173892954669289519709
  294. Tue Jul 21 02:33:33 2026 A0: -120548508686992301790700305854082692782890
  295. Tue Jul 21 02:33:33 2026 A1: 105392062305372787326964620750363031
  296. Tue Jul 21 02:33:33 2026 A2: 6138860901657246600461920872
  297. Tue Jul 21 02:33:33 2026 A3: -68256041365682179417
  298. Tue Jul 21 02:33:33 2026 A4: -4542668431248
  299. Tue Jul 21 02:33:33 2026 A5: 45360
  300. Tue Jul 21 02:33:33 2026 skew 37410563.78, size 1.566e-16, alpha -8.232, combined = 3.892e-13 rroots = 3
  301. Tue Jul 21 02:33:33 2026
  302. Tue Jul 21 02:33:33 2026 commencing linear algebra
  303. Tue Jul 21 02:33:33 2026 using VBITS=256
  304. Tue Jul 21 02:33:33 2026 skipping matrix build
  305. Tue Jul 21 02:33:36 2026 matrix starts at (0, 0)
  306. Tue Jul 21 02:33:38 2026 matrix is 10745452 x 10745629 (5435.3 MB) with weight 1663158831 (154.78/col)
  307. Tue Jul 21 02:33:38 2026 sparse part has weight 1295894026 (120.60/col)
  308. Tue Jul 21 02:33:38 2026 saving the first 240 matrix rows for later
  309. Tue Jul 21 02:33:40 2026 matrix includes 256 packed rows
  310. Tue Jul 21 02:33:43 2026 matrix is 10745212 x 10745629 (4864.0 MB) with weight 1181711935 (109.97/col)
  311. Tue Jul 21 02:33:43 2026 sparse part has weight 1103143668 (102.66/col)
  312. Tue Jul 21 02:33:43 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  313. Tue Jul 21 02:33:43 2026 selected card has CUDA arch 12.0
  314. Tue Jul 21 02:33:44 2026 computed block_nnz 161469836 (L2 cache 100663296 bytes, average column weight 102.7)
  315. Tue Jul 21 02:33:44 2026 nonzeros per matrix block: 256000000
  316. Tue Jul 21 02:34:51 2026 commencing Lanczos iteration
  317. Tue Jul 21 02:34:52 2026 memory use: 11449.7 MB
  318. Tue Jul 21 02:35:00 2026 linear algebra at 0.3%, ETA 0h46m
  319. Tue Jul 21 02:35:12 2026 checking every 230000 dimensions, checkpointing every 14030000 dimensions
  320. Tue Jul 21 03:22:14 2026 lanczos halted after 42100 iterations (dim = 10745210)
  321. Tue Jul 21 03:22:50 2026 recovered 31 nontrivial dependencies
  322. Tue Jul 21 03:22:51 2026 BLanczosTime: 2958
  323. Tue Jul 21 03:22:51 2026 elapsed time 00:49:18
  324. Mon Jul 20 23:31:41 2026
  325. Mon Jul 20 23:31:41 2026
  326. Mon Jul 20 23:31:41 2026 Msieve v. 1.54 (SVN unknown)
  327. Mon Jul 20 23:31:41 2026 random seeds: 62dd249d 72520a97
  328. Mon Jul 20 23:31:41 2026 Using 8 OpenMP threads
  329. Mon Jul 20 23:31:41 2026 factoring 4330994968201018701139098976660183519587615413782220412731058446183022082437823539928910788909461403147099463390152114804476381191154647564266703211154253527178991902537711 (172 digits)
  330. Mon Jul 20 23:31:41 2026 no P-1/P+1/ECM available, skipping
  331. Mon Jul 20 23:31:41 2026 commencing number field sieve (172-digit input)
  332. Mon Jul 20 23:31:41 2026 reversing signs of algebraic polynomial
  333. Mon Jul 20 23:31:41 2026 R0: -3561381403967690565374079691101412
  334. Mon Jul 20 23:31:41 2026 R1: 2173892954669289519709
  335. Mon Jul 20 23:31:41 2026 A0: -120548508686992301790700305854082692782890
  336. Mon Jul 20 23:31:41 2026 A1: 105392062305372787326964620750363031
  337. Mon Jul 20 23:31:41 2026 A2: 6138860901657246600461920872
  338. Mon Jul 20 23:31:41 2026 A3: -68256041365682179417
  339. Mon Jul 20 23:31:41 2026 A4: -4542668431248
  340. Mon Jul 20 23:31:41 2026 A5: 45360
  341. Mon Jul 20 23:31:41 2026 skew 37410563.78, size 1.566e-16, alpha -8.232, combined = 3.892e-13 rroots = 3
  342. Mon Jul 20 23:31:41 2026
  343. Mon Jul 20 23:31:41 2026 commencing square root phase
  344. Mon Jul 20 23:31:41 2026 reversing signs of algebraic polynomial
  345. Mon Jul 20 23:31:41 2026 reading relations for dependency 1
  346. Mon Jul 20 23:31:47 2026 read 5367052 cycles
  347. Mon Jul 20 23:32:01 2026 cycles contain 19108330 unique relations
  348. Mon Jul 20 23:39:03 2026 read 19108330 relations
  349. Mon Jul 20 23:41:07 2026 multiplying 19108330 relations
  350. Mon Jul 20 23:44:17 2026 multiply complete, coefficients have about 1021.85 million bits
  351. Mon Jul 20 23:44:21 2026 initial square root is modulo 1470687487
  352. Mon Jul 20 23:51:42 2026 GCD is N, no factor found
  353. Mon Jul 20 23:51:42 2026 reading relations for dependency 2
  354. Mon Jul 20 23:51:44 2026 read 5372569 cycles
  355. Mon Jul 20 23:51:59 2026 cycles contain 19122652 unique relations
  356. Mon Jul 20 23:53:23 2026 read 19122652 relations
  357. Mon Jul 20 23:55:18 2026 multiplying 19122652 relations
  358. Mon Jul 20 23:58:27 2026 multiply complete, coefficients have about 1022.60 million bits
  359. Mon Jul 20 23:58:31 2026 initial square root is modulo 1493736899
  360. Tue Jul 21 00:05:57 2026 GCD is N, no factor found
  361. Tue Jul 21 00:05:57 2026 reading relations for dependency 3
  362. Tue Jul 21 00:05:58 2026 read 5372921 cycles
  363. Tue Jul 21 00:06:14 2026 cycles contain 19122492 unique relations
  364. Tue Jul 21 00:07:14 2026 read 19122492 relations
  365. Tue Jul 21 00:09:15 2026 multiplying 19122492 relations
  366. Tue Jul 21 00:12:31 2026 multiply complete, coefficients have about 1022.61 million bits
  367. Tue Jul 21 00:12:36 2026 initial square root is modulo 1493848481
  368. Tue Jul 21 00:20:14 2026 sqrtTime: 2913
  369. Tue Jul 21 00:20:14 2026 p64 factor: 3785203837019612644759776811824237652616603406983173425271001969
  370. Tue Jul 21 00:20:14 2026 p109 factor: 1144190684222477738049486594612776857591896720836627024845997682806996107729314406788895265743340881271738719
  371. Tue Jul 21 00:20:14 2026 elapsed time 00:48:33
  372.  
Tags: math
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