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kyleaskine
Jul 28th, 2026
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  1. Mon Jul 27 17:25:56 2026
  2. Mon Jul 27 17:25:56 2026
  3. Mon Jul 27 17:25:56 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Jul 27 17:25:56 2026 random seeds: 5b115ba8 0b09c3e1
  5. Mon Jul 27 17:25:56 2026 Using 14 OpenMP threads
  6. Mon Jul 27 17:25:56 2026 factoring 9231807966302989092171654433297264292656482036480979294801165076374547826242275336986101827919476762060913757439611045168834030601975798365318163322186035028794977061805848840909 (178 digits)
  7. Mon Jul 27 17:25:57 2026 no P-1/P+1/ECM available, skipping
  8. Mon Jul 27 17:25:57 2026 commencing number field sieve (178-digit input)
  9. Mon Jul 27 17:25:57 2026 R0: -30318890720555129830116548550968286
  10. Mon Jul 27 17:25:57 2026 R1: 31900666298137605218141
  11. Mon Jul 27 17:25:57 2026 A0: 271951628810285599433523464300771727186064
  12. Mon Jul 27 17:25:57 2026 A1: 8159811176898717356539534041750807
  13. Mon Jul 27 17:25:57 2026 A2: -3056765814366047818409289508
  14. Mon Jul 27 17:25:57 2026 A3: -383397568802883246573
  15. Mon Jul 27 17:25:57 2026 A4: -25794234695922
  16. Mon Jul 27 17:25:57 2026 A5: 720720
  17. Mon Jul 27 17:25:57 2026 skew 16796698.52, size 2.665e-17, alpha -6.687, combined = 1.327e-13 rroots = 3
  18. Mon Jul 27 17:25:57 2026
  19. Mon Jul 27 17:25:57 2026 commencing relation filtering
  20. Mon Jul 27 17:25:57 2026 setting 3 target densities:Mon Jul 27 17:25:57 2026 90Mon Jul 27 17:25:57 2026 110Mon Jul 27 17:25:57 2026 130Mon Jul 27 17:25:57 2026
  21. Mon Jul 27 17:25:57 2026 estimated available RAM is 78540.1 MB
  22. Mon Jul 27 17:25:57 2026 commencing duplicate removal, pass 1
  23. Mon Jul 27 17:26:15 2026 error -15 reading relation 13670097
  24. Mon Jul 27 17:26:40 2026 error -1 reading relation 29801160
  25. Mon Jul 27 17:26:45 2026 error -1 reading relation 31895335
  26. Mon Jul 27 17:27:20 2026 error -1 reading relation 60491562
  27. Mon Jul 27 17:27:29 2026 error -1 reading relation 68077553
  28. Mon Jul 27 17:27:33 2026 error -1 reading relation 70935871
  29. Mon Jul 27 17:27:37 2026 error -1 reading relation 76427086
  30. Mon Jul 27 17:27:44 2026 error -1 reading relation 82175111
  31. Mon Jul 27 17:27:48 2026 error -1 reading relation 85390547
  32. Mon Jul 27 17:27:52 2026 error -1 reading relation 88535629
  33. Mon Jul 27 17:28:04 2026 error -1 reading relation 98031413
  34. Mon Jul 27 17:28:06 2026 error -1 reading relation 99542610
  35. Mon Jul 27 17:28:09 2026 error -1 reading relation 105017606
  36. Mon Jul 27 17:29:18 2026 error -1 reading relation 146435114
  37. Mon Jul 27 17:30:04 2026 error -1 reading relation 177048795
  38. Mon Jul 27 17:30:15 2026 error -15 reading relation 182876845
  39. Mon Jul 27 17:30:22 2026 error -1 reading relation 187330693
  40. Mon Jul 27 17:30:26 2026 error -1 reading relation 190022301
  41. Mon Jul 27 17:30:46 2026 error -1 reading relation 203941595
  42. Mon Jul 27 17:30:46 2026 error -1 reading relation 204081833
  43. Mon Jul 27 17:30:48 2026 error -1 reading relation 204786077
  44. Mon Jul 27 17:30:52 2026 error -1 reading relation 207473590
  45. Mon Jul 27 17:30:52 2026 error -1 reading relation 207616503
  46. Mon Jul 27 17:30:53 2026 error -1 reading relation 207782862
  47. Mon Jul 27 17:30:58 2026 error -1 reading relation 210655928
  48. Mon Jul 27 17:30:58 2026 error -1 reading relation 210863560
  49. Mon Jul 27 17:31:08 2026 error -1 reading relation 218643603
  50. Mon Jul 27 17:31:14 2026 error -1 reading relation 221829113
  51. Mon Jul 27 17:31:15 2026 error -1 reading relation 222695974
  52. Mon Jul 27 17:31:21 2026 error -1 reading relation 226470282
  53. Mon Jul 27 17:31:24 2026 error -1 reading relation 228420610
  54. Mon Jul 27 17:31:28 2026 error -1 reading relation 230917035
  55. Mon Jul 27 17:31:29 2026 error -1 reading relation 231287964
  56. Mon Jul 27 17:31:34 2026 error -1 reading relation 236340479
  57. Mon Jul 27 17:31:44 2026 error -1 reading relation 242203139
  58. Mon Jul 27 17:32:05 2026 error -1 reading relation 255307030
  59. Mon Jul 27 17:32:46 2026 error -1 reading relation 284987056
  60. Mon Jul 27 17:33:07 2026 error -1 reading relation 300845196
  61. Mon Jul 27 17:33:08 2026 error -1 reading relation 301068695
  62. Mon Jul 27 17:33:18 2026 error -15 reading relation 307889556
  63. Mon Jul 27 17:33:35 2026 error -1 reading relation 321788988
  64. Mon Jul 27 17:33:35 2026 error -1 reading relation 321905010
  65. Mon Jul 27 17:33:37 2026 error -1 reading relation 323553737
  66. Mon Jul 27 17:33:44 2026 skipped 1 relations with composite factors
  67. Mon Jul 27 17:33:44 2026 skipped 257 malformed relations
  68. Mon Jul 27 17:33:44 2026 found 63332807 hash collisions in 328051717 relations
  69. Mon Jul 27 17:33:58 2026 added 121877 free relations
  70. Mon Jul 27 17:33:58 2026 commencing duplicate removal, pass 2
  71. Mon Jul 27 17:37:11 2026 found 65896790 duplicates and 262276804 unique relations
  72. Mon Jul 27 17:37:11 2026 memory use: 1705.5 MB
  73. Mon Jul 27 17:37:11 2026 reading ideals above 720000
  74. Mon Jul 27 17:37:11 2026 commencing singleton removal, initial pass
  75. Mon Jul 27 17:49:17 2026 memory use: 6024.0 MB
  76. Mon Jul 27 17:49:18 2026 reading all ideals from disk
  77. Mon Jul 27 17:49:41 2026 memory use: 12657.0 MB
  78. Mon Jul 27 17:50:21 2026 keeping 243579023 ideals with weight <= 200, target excess is 1378732
  79. Mon Jul 27 17:50:43 2026 commencing in-memory singleton removal
  80. Mon Jul 27 17:50:46 2026 begin with 262276804 relations and 243579023 unique ideals
  81. Mon Jul 27 17:51:07 2026 reduce to 161429523 relations and 132092310 ideals in 14 passes
  82. Mon Jul 27 17:51:07 2026 max relations containing the same ideal: 152
  83. Mon Jul 27 17:51:54 2026 removing 11714960 relations and 9714960 ideals in 2000000 cliques
  84. Mon Jul 27 17:51:55 2026 commencing in-memory singleton removal
  85. Mon Jul 27 17:51:58 2026 begin with 149714563 relations and 132092310 unique ideals
  86. Mon Jul 27 17:52:08 2026 reduce to 149076782 relations and 121729503 ideals in 9 passes
  87. Mon Jul 27 17:52:08 2026 max relations containing the same ideal: 143
  88. Mon Jul 27 17:52:52 2026 removing 8949988 relations and 6949988 ideals in 2000000 cliques
  89. Mon Jul 27 17:52:55 2026 commencing in-memory singleton removal
  90. Mon Jul 27 17:52:54 2026 begin with 140126794 relations and 121729503 unique ideals
  91. Mon Jul 27 17:53:03 2026 reduce to 139698513 relations and 114345267 ideals in 7 passes
  92. Mon Jul 27 17:53:03 2026 max relations containing the same ideal: 139
  93. Mon Jul 27 17:53:43 2026 removing 8120780 relations and 6120780 ideals in 2000000 cliques
  94. Mon Jul 27 17:53:45 2026 commencing in-memory singleton removal
  95. Mon Jul 27 17:53:47 2026 begin with 131577733 relations and 114345267 unique ideals
  96. Mon Jul 27 17:53:54 2026 reduce to 131197108 relations and 107838639 ideals in 7 passes
  97. Mon Jul 27 17:53:54 2026 max relations containing the same ideal: 133
  98. Mon Jul 27 17:54:29 2026 removing 7694245 relations and 5694245 ideals in 2000000 cliques
  99. Mon Jul 27 17:54:32 2026 commencing in-memory singleton removal
  100. Mon Jul 27 17:54:33 2026 begin with 123502863 relations and 107838639 unique ideals
  101. Mon Jul 27 17:54:40 2026 reduce to 123140726 relations and 101777194 ideals in 7 passes
  102. Mon Jul 27 17:54:40 2026 max relations containing the same ideal: 129
  103. Mon Jul 27 17:55:16 2026 removing 7432677 relations and 5432677 ideals in 2000000 cliques
  104. Mon Jul 27 17:55:18 2026 commencing in-memory singleton removal
  105. Mon Jul 27 17:55:19 2026 begin with 115708049 relations and 101777194 unique ideals
  106. Mon Jul 27 17:55:23 2026 reduce to 115348819 relations and 95979874 ideals in 7 passes
  107. Mon Jul 27 17:55:23 2026 max relations containing the same ideal: 124
  108. Mon Jul 27 17:55:55 2026 removing 7267539 relations and 5267539 ideals in 2000000 cliques
  109. Mon Jul 27 17:55:58 2026 commencing in-memory singleton removal
  110. Mon Jul 27 17:55:59 2026 begin with 108081280 relations and 95979874 unique ideals
  111. Mon Jul 27 17:56:05 2026 reduce to 107718118 relations and 90343614 ideals in 7 passes
  112. Mon Jul 27 17:56:05 2026 max relations containing the same ideal: 118
  113. Mon Jul 27 17:56:35 2026 removing 7159304 relations and 5159304 ideals in 2000000 cliques
  114. Mon Jul 27 17:56:37 2026 commencing in-memory singleton removal
  115. Mon Jul 27 17:56:38 2026 begin with 100558814 relations and 90343614 unique ideals
  116. Mon Jul 27 17:56:45 2026 reduce to 100183810 relations and 84803073 ideals in 8 passes
  117. Mon Jul 27 17:56:45 2026 max relations containing the same ideal: 112
  118. Mon Jul 27 17:57:13 2026 removing 7101653 relations and 5101653 ideals in 2000000 cliques
  119. Mon Jul 27 17:57:15 2026 commencing in-memory singleton removal
  120. Mon Jul 27 17:57:16 2026 begin with 93082157 relations and 84803073 unique ideals
  121. Mon Jul 27 17:57:21 2026 reduce to 92688049 relations and 79300395 ideals in 7 passes
  122. Mon Jul 27 17:57:21 2026 max relations containing the same ideal: 106
  123. Mon Jul 27 17:57:47 2026 removing 7074146 relations and 5074146 ideals in 2000000 cliques
  124. Mon Jul 27 17:57:49 2026 commencing in-memory singleton removal
  125. Mon Jul 27 17:57:50 2026 begin with 85613903 relations and 79300395 unique ideals
  126. Mon Jul 27 17:57:53 2026 reduce to 85192851 relations and 73797172 ideals in 8 passes
  127. Mon Jul 27 17:57:53 2026 max relations containing the same ideal: 101
  128. Mon Jul 27 17:58:19 2026 removing 7083120 relations and 5083120 ideals in 2000000 cliques
  129. Mon Jul 27 17:58:21 2026 commencing in-memory singleton removal
  130. Mon Jul 27 17:58:22 2026 begin with 78109731 relations and 73797172 unique ideals
  131. Mon Jul 27 17:58:24 2026 reduce to 77651205 relations and 68246109 ideals in 8 passes
  132. Mon Jul 27 17:58:24 2026 max relations containing the same ideal: 94
  133. Mon Jul 27 17:58:48 2026 removing 7129355 relations and 5129355 ideals in 2000000 cliques
  134. Mon Jul 27 17:58:50 2026 commencing in-memory singleton removal
  135. Mon Jul 27 17:58:51 2026 begin with 70521850 relations and 68246109 unique ideals
  136. Mon Jul 27 17:58:53 2026 reduce to 70007857 relations and 62591401 ideals in 9 passes
  137. Mon Jul 27 17:58:53 2026 max relations containing the same ideal: 88
  138. Mon Jul 27 17:59:15 2026 removing 7206841 relations and 5206841 ideals in 2000000 cliques
  139. Mon Jul 27 17:59:16 2026 commencing in-memory singleton removal
  140. Mon Jul 27 17:59:17 2026 begin with 62801016 relations and 62591401 unique ideals
  141. Mon Jul 27 17:59:20 2026 reduce to 62213529 relations and 56782807 ideals in 8 passes
  142. Mon Jul 27 17:59:20 2026 max relations containing the same ideal: 81
  143. Mon Jul 27 17:59:37 2026 removing 7331774 relations and 5331774 ideals in 2000000 cliques
  144. Mon Jul 27 17:59:39 2026 commencing in-memory singleton removal
  145. Mon Jul 27 17:59:40 2026 begin with 54881755 relations and 56782807 unique ideals
  146. Mon Jul 27 17:59:42 2026 reduce to 54191736 relations and 50742188 ideals in 8 passes
  147. Mon Jul 27 17:59:42 2026 max relations containing the same ideal: 72
  148. Mon Jul 27 17:59:58 2026 removing 7061022 relations and 5210804 ideals in 1850218 cliques
  149. Mon Jul 27 17:59:59 2026 commencing in-memory singleton removal
  150. Mon Jul 27 18:00:00 2026 begin with 47130714 relations and 50742188 unique ideals
  151. Mon Jul 27 18:00:03 2026 reduce to 46383284 relations and 44762117 ideals in 9 passes
  152. Mon Jul 27 18:00:03 2026 max relations containing the same ideal: 68
  153. Mon Jul 27 18:00:18 2026 removing 184370 relations and 162533 ideals in 21837 cliques
  154. Mon Jul 27 18:00:19 2026 commencing in-memory singleton removal
  155. Mon Jul 27 18:00:19 2026 begin with 46198914 relations and 44762117 unique ideals
  156. Mon Jul 27 18:00:21 2026 reduce to 46198440 relations and 44599110 ideals in 5 passes
  157. Mon Jul 27 18:00:21 2026 max relations containing the same ideal: 68
  158. Mon Jul 27 18:00:21 2026 trying target density 90
  159. Mon Jul 27 18:00:22 2026 relations with 0 large ideals: 5079
  160. Mon Jul 27 18:00:22 2026 relations with 1 large ideals: 30585
  161. Mon Jul 27 18:00:22 2026 relations with 2 large ideals: 410775
  162. Mon Jul 27 18:00:22 2026 relations with 3 large ideals: 2287738
  163. Mon Jul 27 18:00:22 2026 relations with 4 large ideals: 6780948
  164. Mon Jul 27 18:00:22 2026 relations with 5 large ideals: 11746377
  165. Mon Jul 27 18:00:22 2026 relations with 6 large ideals: 12515248
  166. Mon Jul 27 18:00:22 2026 relations with 7+ large ideals: 12421690
  167. Mon Jul 27 18:00:22 2026 commencing 2-way merge
  168. Mon Jul 27 18:00:45 2026 reduce to 28519771 relation sets and 26920441 unique ideals
  169. Mon Jul 27 18:00:45 2026 commencing full merge
  170. Mon Jul 27 18:06:31 2026 memory use: 3195.7 MB
  171. Mon Jul 27 18:06:34 2026 found 14075319 cycles, need 13860641
  172. Mon Jul 27 18:06:37 2026 weight of 13860641 cycles is about 1247665435 (90.01/cycle)
  173. Mon Jul 27 18:06:38 2026 distribution of cycle lengths:
  174. Mon Jul 27 18:06:38 2026 1 relations: 1424437
  175. Mon Jul 27 18:06:38 2026 2 relations: 1307805
  176. Mon Jul 27 18:06:38 2026 3 relations: 1340583
  177. Mon Jul 27 18:06:38 2026 4 relations: 1322561
  178. Mon Jul 27 18:06:38 2026 5 relations: 1285585
  179. Mon Jul 27 18:06:38 2026 6 relations: 1229098
  180. Mon Jul 27 18:06:38 2026 7 relations: 1127812
  181. Mon Jul 27 18:06:38 2026 8 relations: 999086
  182. Mon Jul 27 18:06:38 2026 9 relations: 861222
  183. Mon Jul 27 18:06:38 2026 10+ relations: 2962452
  184. Mon Jul 27 18:06:38 2026 heaviest cycle: 21 relations
  185. Mon Jul 27 18:06:41 2026 commencing cycle optimization
  186. Mon Jul 27 18:06:58 2026 start with 87580350 relations
  187. Mon Jul 27 18:08:40 2026 pruned 2657636 relations
  188. Mon Jul 27 18:08:42 2026 memory use: 2771.1 MB
  189. Mon Jul 27 18:08:42 2026 distribution of cycle lengths:
  190. Mon Jul 27 18:08:42 2026 1 relations: 1424437
  191. Mon Jul 27 18:08:42 2026 2 relations: 1339995
  192. Mon Jul 27 18:08:42 2026 3 relations: 1391243
  193. Mon Jul 27 18:08:42 2026 4 relations: 1364838
  194. Mon Jul 27 18:08:42 2026 5 relations: 1333247
  195. Mon Jul 27 18:08:42 2026 6 relations: 1266185
  196. Mon Jul 27 18:08:42 2026 7 relations: 1161301
  197. Mon Jul 27 18:08:42 2026 8 relations: 1015777
  198. Mon Jul 27 18:08:42 2026 9 relations: 867884
  199. Mon Jul 27 18:08:42 2026 10+ relations: 2695734
  200. Mon Jul 27 18:08:42 2026 heaviest cycle: 21 relations
  201. Mon Jul 27 18:09:02 2026 trying target density 110
  202. Mon Jul 27 18:09:05 2026 relations with 0 large ideals: 5079
  203. Mon Jul 27 18:09:05 2026 relations with 1 large ideals: 30585
  204. Mon Jul 27 18:09:05 2026 relations with 2 large ideals: 410775
  205. Mon Jul 27 18:09:05 2026 relations with 3 large ideals: 2287738
  206. Mon Jul 27 18:09:05 2026 relations with 4 large ideals: 6780948
  207. Mon Jul 27 18:09:05 2026 relations with 5 large ideals: 11746377
  208. Mon Jul 27 18:09:05 2026 relations with 6 large ideals: 12515248
  209. Mon Jul 27 18:09:05 2026 relations with 7+ large ideals: 12421690
  210. Mon Jul 27 18:09:05 2026 commencing 2-way merge
  211. Mon Jul 27 18:09:24 2026 reduce to 28519771 relation sets and 26920441 unique ideals
  212. Mon Jul 27 18:09:24 2026 commencing full merge
  213. Mon Jul 27 18:16:14 2026 memory use: 3281.3 MB
  214. Mon Jul 27 18:16:16 2026 found 13119357 cycles, need 12942641
  215. Mon Jul 27 18:16:20 2026 weight of 12942641 cycles is about 1424027611 (110.03/cycle)
  216. Mon Jul 27 18:16:20 2026 distribution of cycle lengths:
  217. Mon Jul 27 18:16:20 2026 1 relations: 1025471
  218. Mon Jul 27 18:16:20 2026 2 relations: 981705
  219. Mon Jul 27 18:16:20 2026 3 relations: 1022112
  220. Mon Jul 27 18:16:20 2026 4 relations: 1013263
  221. Mon Jul 27 18:16:20 2026 5 relations: 1011641
  222. Mon Jul 27 18:16:20 2026 6 relations: 997179
  223. Mon Jul 27 18:16:20 2026 7 relations: 953284
  224. Mon Jul 27 18:16:20 2026 8 relations: 901830
  225. Mon Jul 27 18:16:20 2026 9 relations: 827705
  226. Mon Jul 27 18:16:20 2026 10+ relations: 4208451
  227. Mon Jul 27 18:16:20 2026 heaviest cycle: 25 relations
  228. Mon Jul 27 18:16:22 2026 commencing cycle optimization
  229. Mon Jul 27 18:16:44 2026 start with 99605186 relations
  230. Mon Jul 27 18:19:10 2026 pruned 3793420 relations
  231. Mon Jul 27 18:19:12 2026 memory use: 2895.3 MB
  232. Mon Jul 27 18:19:12 2026 distribution of cycle lengths:
  233. Mon Jul 27 18:19:12 2026 1 relations: 1025471
  234. Mon Jul 27 18:19:12 2026 2 relations: 1007121
  235. Mon Jul 27 18:19:12 2026 3 relations: 1062359
  236. Mon Jul 27 18:19:12 2026 4 relations: 1051309
  237. Mon Jul 27 18:19:12 2026 5 relations: 1055947
  238. Mon Jul 27 18:19:12 2026 6 relations: 1037150
  239. Mon Jul 27 18:19:12 2026 7 relations: 995857
  240. Mon Jul 27 18:19:12 2026 8 relations: 934089
  241. Mon Jul 27 18:19:12 2026 9 relations: 854707
  242. Mon Jul 27 18:19:12 2026 10+ relations: 3918631
  243. Mon Jul 27 18:19:12 2026 heaviest cycle: 25 relations
  244. Mon Jul 27 18:19:31 2026 trying target density 130
  245. Mon Jul 27 18:19:35 2026 relations with 0 large ideals: 5079
  246. Mon Jul 27 18:19:35 2026 relations with 1 large ideals: 30585
  247. Mon Jul 27 18:19:35 2026 relations with 2 large ideals: 410775
  248. Mon Jul 27 18:19:35 2026 relations with 3 large ideals: 2287738
  249. Mon Jul 27 18:19:35 2026 relations with 4 large ideals: 6780948
  250. Mon Jul 27 18:19:35 2026 relations with 5 large ideals: 11746377
  251. Mon Jul 27 18:19:35 2026 relations with 6 large ideals: 12515248
  252. Mon Jul 27 18:19:35 2026 relations with 7+ large ideals: 12421690
  253. Mon Jul 27 18:19:35 2026 commencing 2-way merge
  254. Mon Jul 27 18:19:53 2026 reduce to 28519771 relation sets and 26920441 unique ideals
  255. Mon Jul 27 18:19:53 2026 commencing full merge
  256. Mon Jul 27 18:27:46 2026 memory use: 3328.6 MB
  257. Mon Jul 27 18:27:49 2026 found 12350055 cycles, need 12276641
  258. Mon Jul 27 18:27:52 2026 weight of 12276641 cycles is about 1596347508 (130.03/cycle)
  259. Mon Jul 27 18:27:52 2026 distribution of cycle lengths:
  260. Mon Jul 27 18:27:52 2026 1 relations: 753944
  261. Mon Jul 27 18:27:52 2026 2 relations: 776889
  262. Mon Jul 27 18:27:52 2026 3 relations: 815081
  263. Mon Jul 27 18:27:52 2026 4 relations: 817771
  264. Mon Jul 27 18:27:52 2026 5 relations: 826683
  265. Mon Jul 27 18:27:52 2026 6 relations: 819637
  266. Mon Jul 27 18:27:52 2026 7 relations: 815844
  267. Mon Jul 27 18:27:52 2026 8 relations: 785630
  268. Mon Jul 27 18:27:52 2026 9 relations: 746612
  269. Mon Jul 27 18:27:52 2026 10+ relations: 5118550
  270. Mon Jul 27 18:27:52 2026 heaviest cycle: 28 relations
  271. Mon Jul 27 18:27:54 2026 commencing cycle optimization
  272. Mon Jul 27 18:28:14 2026 start with 111183845 relations
  273. Mon Jul 27 18:31:24 2026 pruned 4980096 relations
  274. Mon Jul 27 18:31:24 2026 memory use: 3012.7 MB
  275. Mon Jul 27 18:31:24 2026 distribution of cycle lengths:
  276. Mon Jul 27 18:31:24 2026 1 relations: 753944
  277. Mon Jul 27 18:31:24 2026 2 relations: 797165
  278. Mon Jul 27 18:31:24 2026 3 relations: 848294
  279. Mon Jul 27 18:31:24 2026 4 relations: 850559
  280. Mon Jul 27 18:31:24 2026 5 relations: 866026
  281. Mon Jul 27 18:31:24 2026 6 relations: 858771
  282. Mon Jul 27 18:31:24 2026 7 relations: 857593
  283. Mon Jul 27 18:31:24 2026 8 relations: 823613
  284. Mon Jul 27 18:31:24 2026 9 relations: 781913
  285. Mon Jul 27 18:31:24 2026 10+ relations: 4838763
  286. Mon Jul 27 18:31:24 2026 heaviest cycle: 28 relations
  287. Mon Jul 27 18:31:46 2026 RelProcTime: 3949
  288. Mon Jul 27 18:31:46 2026
  289. Mon Jul 27 18:31:46 2026 commencing linear algebra
  290. Mon Jul 27 18:31:46 2026 using VBITS=256
  291. Mon Jul 27 18:31:46 2026 building matrices for all densities
  292. Mon Jul 27 18:31:46 2026 found 3 density files
  293. Mon Jul 27 18:31:46 2026 building matrix for density 90
  294. Mon Jul 27 18:31:48 2026 read 13860641 cycles
  295. Mon Jul 27 18:32:06 2026 cycles contain 45157815 unique relations
  296. Mon Jul 27 18:37:03 2026 read 45157815 relations
  297. Mon Jul 27 18:37:11 2026 using 20 quadratic characters above 4294917295
  298. Mon Jul 27 18:37:23 2026 building initial matrix
  299. Mon Jul 27 18:42:49 2026 memory use: 6279.1 MB
  300. Mon Jul 27 18:42:54 2026 read 13860641 cycles
  301. Mon Jul 27 18:42:56 2026 matrix is 13860455 x 13860641 (5181.2 MB) with weight 1587855074 (114.56/col)
  302. Mon Jul 27 18:42:56 2026 sparse part has weight 1191899980 (85.99/col)
  303. Mon Jul 27 18:44:29 2026 filtering completed in 2 passes
  304. Mon Jul 27 18:44:32 2026 matrix is 13855732 x 13855917 (5180.8 MB) with weight 1587655545 (114.58/col)
  305. Mon Jul 27 18:44:32 2026 sparse part has weight 1191836700 (86.02/col)
  306. Mon Jul 27 18:44:56 2026 building matrix for density 110
  307. Mon Jul 27 18:44:57 2026 read 12942641 cycles
  308. Mon Jul 27 18:45:10 2026 cycles contain 45173260 unique relations
  309. Mon Jul 27 18:46:13 2026 read 45173260 relations
  310. Mon Jul 27 18:46:20 2026 using 20 quadratic characters above 4294917295
  311. Mon Jul 27 18:46:28 2026 building initial matrix
  312. Mon Jul 27 18:53:04 2026 memory use: 6262.4 MB
  313. Mon Jul 27 18:53:08 2026 read 12942641 cycles
  314. Mon Jul 27 18:53:09 2026 matrix is 12942460 x 12942641 (5701.6 MB) with weight 1731781435 (133.80/col)
  315. Mon Jul 27 18:53:09 2026 sparse part has weight 1339340627 (103.48/col)
  316. Mon Jul 27 18:54:48 2026 filtering completed in 2 passes
  317. Mon Jul 27 18:54:51 2026 matrix is 12940252 x 12940432 (5701.4 MB) with weight 1731670854 (133.82/col)
  318. Mon Jul 27 18:54:51 2026 sparse part has weight 1339300159 (103.50/col)
  319. Mon Jul 27 18:55:11 2026 building matrix for density 130
  320. Mon Jul 27 18:55:12 2026 read 12276641 cycles
  321. Mon Jul 27 18:55:27 2026 cycles contain 45174809 unique relations
  322. Mon Jul 27 18:55:58 2026 read 45174809 relations
  323. Mon Jul 27 18:56:05 2026 using 20 quadratic characters above 4294917295
  324. Mon Jul 27 18:56:15 2026 building initial matrix
  325. Mon Jul 27 19:03:28 2026 memory use: 6282.0 MB
  326. Mon Jul 27 19:03:32 2026 read 12276641 cycles
  327. Mon Jul 27 19:03:33 2026 matrix is 12276463 x 12276641 (6211.4 MB) with weight 1871417936 (152.44/col)
  328. Mon Jul 27 19:03:33 2026 sparse part has weight 1480970769 (120.63/col)
  329. Mon Jul 27 19:05:04 2026 filtering completed in 2 passes
  330. Mon Jul 27 19:05:06 2026 matrix is 12275836 x 12276013 (6211.4 MB) with weight 1871386502 (152.44/col)
  331. Mon Jul 27 19:05:06 2026 sparse part has weight 1480960585 (120.64/col)
  332. Mon Jul 27 19:05:34 2026 BLanczosTime: 2028
  333. Mon Jul 27 19:05:34 2026 elapsed time 01:39:38
  334. Tue Jul 28 13:29:31 2026
  335. Tue Jul 28 13:29:31 2026
  336. Tue Jul 28 13:29:31 2026 Msieve v. 1.54 (SVN unknown)
  337. Tue Jul 28 13:29:31 2026 random seeds: 833d6596 7650a6b7
  338. Tue Jul 28 13:29:31 2026 Using 8 OpenMP threads
  339. Tue Jul 28 13:29:31 2026 factoring 9231807966302989092171654433297264292656482036480979294801165076374547826242275336986101827919476762060913757439611045168834030601975798365318163322186035028794977061805848840909 (178 digits)
  340. Tue Jul 28 13:29:32 2026 no P-1/P+1/ECM available, skipping
  341. Tue Jul 28 13:29:32 2026 commencing number field sieve (178-digit input)
  342. Tue Jul 28 13:29:32 2026 R0: -30318890720555129830116548550968286
  343. Tue Jul 28 13:29:32 2026 R1: 31900666298137605218141
  344. Tue Jul 28 13:29:32 2026 A0: 271951628810285599433523464300771727186064
  345. Tue Jul 28 13:29:32 2026 A1: 8159811176898717356539534041750807
  346. Tue Jul 28 13:29:32 2026 A2: -3056765814366047818409289508
  347. Tue Jul 28 13:29:32 2026 A3: -383397568802883246573
  348. Tue Jul 28 13:29:32 2026 A4: -25794234695922
  349. Tue Jul 28 13:29:32 2026 A5: 720720
  350. Tue Jul 28 13:29:32 2026 skew 16796698.52, size 2.665e-17, alpha -6.687, combined = 1.327e-13 rroots = 3
  351. Tue Jul 28 13:29:32 2026
  352. Tue Jul 28 13:29:32 2026 commencing linear algebra
  353. Tue Jul 28 13:29:32 2026 using VBITS=256
  354. Tue Jul 28 13:29:32 2026 skipping matrix build
  355. Tue Jul 28 13:29:36 2026 matrix starts at (0, 0)
  356. Tue Jul 28 13:29:37 2026 matrix is 12275836 x 12276013 (6211.4 MB) with weight 1871386502 (152.44/col)
  357. Tue Jul 28 13:29:37 2026 sparse part has weight 1480960585 (120.64/col)
  358. Tue Jul 28 13:29:37 2026 saving the first 240 matrix rows for later
  359. Tue Jul 28 13:29:39 2026 matrix includes 256 packed rows
  360. Tue Jul 28 13:29:42 2026 matrix is 12275596 x 12276013 (5629.3 MB) with weight 1358576381 (110.67/col)
  361. Tue Jul 28 13:29:42 2026 sparse part has weight 1279260676 (104.21/col)
  362. Tue Jul 28 13:29:42 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  363. Tue Jul 28 13:29:42 2026 selected card has CUDA arch 12.0
  364. Tue Jul 28 13:29:43 2026 computed block_nnz 163905256 (L2 cache 100663296 bytes, average column weight 104.2)
  365. Tue Jul 28 13:29:43 2026 nonzeros per matrix block: 256000000
  366. Tue Jul 28 13:31:04 2026 commencing Lanczos iteration
  367. Tue Jul 28 13:31:05 2026 memory use: 13272.2 MB
  368. Tue Jul 28 13:31:15 2026 linear algebra at 0.2%, ETA 0h59m
  369. Tue Jul 28 13:31:29 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions
  370. Tue Jul 28 14:33:27 2026 lanczos halted after 48097 iterations (dim = 12275596)
  371. Tue Jul 28 14:34:00 2026 recovered 31 nontrivial dependencies
  372. Tue Jul 28 14:34:00 2026 BLanczosTime: 3868
  373. Tue Jul 28 14:34:00 2026 elapsed time 01:04:29
  374. Tue Jul 28 10:35:19 2026
  375. Tue Jul 28 10:35:19 2026
  376. Tue Jul 28 10:35:19 2026 Msieve v. 1.54 (SVN unknown)
  377. Tue Jul 28 10:35:19 2026 random seeds: 30df403a 80f07f6c
  378. Tue Jul 28 10:35:19 2026 Using 8 OpenMP threads
  379. Tue Jul 28 10:35:19 2026 factoring 9231807966302989092171654433297264292656482036480979294801165076374547826242275336986101827919476762060913757439611045168834030601975798365318163322186035028794977061805848840909 (178 digits)
  380. Tue Jul 28 10:35:19 2026 no P-1/P+1/ECM available, skipping
  381. Tue Jul 28 10:35:19 2026 commencing number field sieve (178-digit input)
  382. Tue Jul 28 10:35:19 2026 R0: -30318890720555129830116548550968286
  383. Tue Jul 28 10:35:19 2026 R1: 31900666298137605218141
  384. Tue Jul 28 10:35:19 2026 A0: 271951628810285599433523464300771727186064
  385. Tue Jul 28 10:35:19 2026 A1: 8159811176898717356539534041750807
  386. Tue Jul 28 10:35:19 2026 A2: -3056765814366047818409289508
  387. Tue Jul 28 10:35:19 2026 A3: -383397568802883246573
  388. Tue Jul 28 10:35:19 2026 A4: -25794234695922
  389. Tue Jul 28 10:35:19 2026 A5: 720720
  390. Tue Jul 28 10:35:19 2026 skew 16796698.52, size 2.665e-17, alpha -6.687, combined = 1.327e-13 rroots = 3
  391. Tue Jul 28 10:35:19 2026
  392. Tue Jul 28 10:35:19 2026 commencing square root phase
  393. Tue Jul 28 10:35:19 2026 reading relations for dependency 1
  394. Tue Jul 28 10:35:20 2026 read 6138044 cycles
  395. Tue Jul 28 10:35:30 2026 cycles contain 22588320 unique relations
  396. Tue Jul 28 10:39:02 2026 read 22588320 relations
  397. Tue Jul 28 10:40:10 2026 multiplying 22588320 relations
  398. Tue Jul 28 10:42:25 2026 multiply complete, coefficients have about 1307.92 million bits
  399. Tue Jul 28 10:42:26 2026 initial square root is modulo 736243
  400. Tue Jul 28 10:47:53 2026 sqrtTime: 754
  401. Tue Jul 28 10:47:53 2026 p85 factor: 3131320072694891371028772197538688878315534287213530108969513500073229232906364760387
  402. Tue Jul 28 10:47:53 2026 p94 factor: 2948216008578729293145669466382118560546862554670716005960441733313929513118979616058199378607
  403. Tue Jul 28 10:47:53 2026 elapsed time 00:12:34
  404.  
Tags: math
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