kyleaskine

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May 21st, 2026
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  1. Thu May 21 06:24:40 2026
  2. Thu May 21 06:24:40 2026
  3. Thu May 21 06:24:40 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu May 21 06:24:40 2026 random seeds: 39ca44d5 21217994
  5. Thu May 21 06:24:40 2026 Using 14 OpenMP threads
  6. Thu May 21 06:24:40 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits)
  7. Thu May 21 06:24:40 2026 no P-1/P+1/ECM available, skipping
  8. Thu May 21 06:24:40 2026 commencing number field sieve (232-digit input)
  9. Thu May 21 06:24:40 2026 R0: 59465492126971613064018225901578351777027317863730
  10. Thu May 21 06:24:40 2026 R1: -7711387172679868306809223
  11. Thu May 21 06:24:40 2026 A0: 1
  12. Thu May 21 06:24:40 2026 A1: 3
  13. Thu May 21 06:24:40 2026 A2: -3
  14. Thu May 21 06:24:40 2026 A3: -4
  15. Thu May 21 06:24:40 2026 A4: 1
  16. Thu May 21 06:24:40 2026 A5: 1
  17. Thu May 21 06:24:40 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5
  18. Thu May 21 06:24:40 2026
  19. Thu May 21 06:24:40 2026 commencing relation filtering
  20. Thu May 21 06:24:40 2026 setting 3 target densities:Thu May 21 06:24:40 2026 80Thu May 21 06:24:40 2026 100Thu May 21 06:24:40 2026 120Thu May 21 06:24:40 2026
  21. Thu May 21 06:24:40 2026 estimated available RAM is 78540.1 MB
  22. Thu May 21 06:24:40 2026 commencing duplicate removal, pass 1
  23. Thu May 21 06:24:43 2026 error -1 reading relation 3148000
  24. Thu May 21 06:25:48 2026 error -1 reading relation 56170388
  25. Thu May 21 06:25:48 2026 error -1 reading relation 56545152
  26. Thu May 21 06:25:50 2026 error -1 reading relation 57820441
  27. Thu May 21 06:26:02 2026 error -1 reading relation 69153649
  28. Thu May 21 06:26:22 2026 error -1 reading relation 84216945
  29. Thu May 21 06:35:39 2026 error -1 reading relation 202074559
  30. Thu May 21 06:36:36 2026 error -1 reading relation 213865151
  31. Thu May 21 06:36:41 2026 error -1 reading relation 215045222
  32. Thu May 21 06:36:44 2026 error -1 reading relation 216552043
  33. Thu May 21 06:37:30 2026 error -1 reading relation 239108069
  34. Thu May 21 06:37:57 2026 error -1 reading relation 258206317
  35. Thu May 21 06:37:57 2026 error -1 reading relation 258211973
  36. Thu May 21 06:38:04 2026 error -1 reading relation 262141125
  37. Thu May 21 06:38:24 2026 error -1 reading relation 276055041
  38. Thu May 21 06:38:30 2026 error -1 reading relation 279896821
  39. Thu May 21 06:38:42 2026 error -1 reading relation 287898894
  40. Thu May 21 06:38:46 2026 error -1 reading relation 291557770
  41. Thu May 21 06:39:09 2026 error -1 reading relation 307505162
  42. Thu May 21 06:39:15 2026 error -15 reading relation 312034493
  43. Thu May 21 06:39:15 2026 error -1 reading relation 312037844
  44. Thu May 21 06:39:18 2026 error -1 reading relation 315834425
  45. Thu May 21 06:39:36 2026 error -11 reading relation 328726563
  46. Thu May 21 06:39:39 2026 error -1 reading relation 330959268
  47. Thu May 21 06:39:48 2026 error -15 reading relation 337977563
  48. Thu May 21 06:40:11 2026 skipped 289 relations with b > 2^32
  49. Thu May 21 06:40:11 2026 skipped 258 malformed relations
  50. Thu May 21 06:40:11 2026 found 77216082 hash collisions in 352367813 relations
  51. Thu May 21 06:40:14 2026 added 2926300 free relations
  52. Thu May 21 06:40:14 2026 commencing duplicate removal, pass 2
  53. Thu May 21 06:43:09 2026 found 84808248 duplicates and 270485865 unique relations
  54. Thu May 21 06:43:09 2026 memory use: 2643.0 MB
  55. Thu May 21 06:43:09 2026 reading ideals above 720000
  56. Thu May 21 06:43:09 2026 commencing singleton removal, initial pass
  57. Thu May 21 07:02:50 2026 memory use: 6024.0 MB
  58. Thu May 21 07:02:51 2026 reading all ideals from disk
  59. Thu May 21 07:04:35 2026 memory use: 12887.1 MB
  60. Thu May 21 07:05:19 2026 keeping 247475760 ideals with weight <= 200, target excess is 1352948
  61. Thu May 21 07:05:43 2026 commencing in-memory singleton removal
  62. Thu May 21 07:05:47 2026 begin with 270485865 relations and 247475760 unique ideals
  63. Thu May 21 07:06:08 2026 reduce to 171194261 relations and 138040337 ideals in 14 passes
  64. Thu May 21 07:06:08 2026 max relations containing the same ideal: 158
  65. Thu May 21 07:06:50 2026 removing 11705813 relations and 9705813 ideals in 2000000 cliques
  66. Thu May 21 07:06:52 2026 commencing in-memory singleton removal
  67. Thu May 21 07:06:54 2026 begin with 159488448 relations and 138040337 unique ideals
  68. Thu May 21 07:07:03 2026 reduce to 158870974 relations and 127707525 ideals in 8 passes
  69. Thu May 21 07:07:03 2026 max relations containing the same ideal: 151
  70. Thu May 21 07:07:48 2026 removing 8941239 relations and 6941239 ideals in 2000000 cliques
  71. Thu May 21 07:07:51 2026 commencing in-memory singleton removal
  72. Thu May 21 07:07:51 2026 begin with 149929735 relations and 127707525 unique ideals
  73. Thu May 21 07:07:59 2026 reduce to 149519397 relations and 120350406 ideals in 7 passes
  74. Thu May 21 07:07:59 2026 max relations containing the same ideal: 146
  75. Thu May 21 07:09:00 2026 removing 8091408 relations and 6091408 ideals in 2000000 cliques
  76. Thu May 21 07:09:03 2026 commencing in-memory singleton removal
  77. Thu May 21 07:09:04 2026 begin with 141427989 relations and 120350406 unique ideals
  78. Thu May 21 07:09:10 2026 reduce to 141069120 relations and 113895364 ideals in 7 passes
  79. Thu May 21 07:09:10 2026 max relations containing the same ideal: 141
  80. Thu May 21 07:09:46 2026 removing 7649862 relations and 5649862 ideals in 2000000 cliques
  81. Thu May 21 07:09:48 2026 commencing in-memory singleton removal
  82. Thu May 21 07:09:50 2026 begin with 133419258 relations and 113895364 unique ideals
  83. Thu May 21 07:09:54 2026 reduce to 133082372 relations and 107903935 ideals in 7 passes
  84. Thu May 21 07:09:54 2026 max relations containing the same ideal: 135
  85. Thu May 21 07:10:26 2026 removing 7368781 relations and 5368781 ideals in 2000000 cliques
  86. Thu May 21 07:10:28 2026 commencing in-memory singleton removal
  87. Thu May 21 07:10:30 2026 begin with 125713591 relations and 107903935 unique ideals
  88. Thu May 21 07:10:35 2026 reduce to 125385312 relations and 102202286 ideals in 7 passes
  89. Thu May 21 07:10:35 2026 max relations containing the same ideal: 130
  90. Thu May 21 07:11:06 2026 removing 7180404 relations and 5180404 ideals in 2000000 cliques
  91. Thu May 21 07:11:09 2026 commencing in-memory singleton removal
  92. Thu May 21 07:11:10 2026 begin with 118204908 relations and 102202286 unique ideals
  93. Thu May 21 07:11:15 2026 reduce to 117879272 relations and 96691500 ideals in 7 passes
  94. Thu May 21 07:11:15 2026 max relations containing the same ideal: 124
  95. Thu May 21 07:11:44 2026 removing 7041541 relations and 5041541 ideals in 2000000 cliques
  96. Thu May 21 07:11:47 2026 commencing in-memory singleton removal
  97. Thu May 21 07:11:48 2026 begin with 110837731 relations and 96691500 unique ideals
  98. Thu May 21 07:11:51 2026 reduce to 110509901 relations and 91316973 ideals in 7 passes
  99. Thu May 21 07:11:51 2026 max relations containing the same ideal: 119
  100. Thu May 21 07:12:20 2026 removing 6946250 relations and 4946250 ideals in 2000000 cliques
  101. Thu May 21 07:12:20 2026 commencing in-memory singleton removal
  102. Thu May 21 07:12:21 2026 begin with 103563651 relations and 91316973 unique ideals
  103. Thu May 21 07:12:26 2026 reduce to 103228540 relations and 86030159 ideals in 7 passes
  104. Thu May 21 07:12:26 2026 max relations containing the same ideal: 112
  105. Thu May 21 07:12:51 2026 removing 6881614 relations and 4881614 ideals in 2000000 cliques
  106. Thu May 21 07:12:53 2026 commencing in-memory singleton removal
  107. Thu May 21 07:12:54 2026 begin with 96346926 relations and 86030159 unique ideals
  108. Thu May 21 07:12:58 2026 reduce to 95998931 relations and 80794292 ideals in 7 passes
  109. Thu May 21 07:12:58 2026 max relations containing the same ideal: 107
  110. Thu May 21 07:13:22 2026 removing 6834403 relations and 4834403 ideals in 2000000 cliques
  111. Thu May 21 07:13:24 2026 commencing in-memory singleton removal
  112. Thu May 21 07:13:25 2026 begin with 89164528 relations and 80794292 unique ideals
  113. Thu May 21 07:13:30 2026 reduce to 88799879 relations and 75588537 ideals in 8 passes
  114. Thu May 21 07:13:30 2026 max relations containing the same ideal: 102
  115. Thu May 21 07:13:52 2026 removing 6816925 relations and 4816925 ideals in 2000000 cliques
  116. Thu May 21 07:13:54 2026 commencing in-memory singleton removal
  117. Thu May 21 07:13:54 2026 begin with 81982954 relations and 75588537 unique ideals
  118. Thu May 21 07:13:59 2026 reduce to 81596252 relations and 70377111 ideals in 9 passes
  119. Thu May 21 07:13:59 2026 max relations containing the same ideal: 98
  120. Thu May 21 07:14:21 2026 removing 6802340 relations and 4802340 ideals in 2000000 cliques
  121. Thu May 21 07:14:21 2026 commencing in-memory singleton removal
  122. Thu May 21 07:14:22 2026 begin with 74793912 relations and 70377111 unique ideals
  123. Thu May 21 07:14:25 2026 reduce to 74377464 relations and 65149275 ideals in 7 passes
  124. Thu May 21 07:14:25 2026 max relations containing the same ideal: 90
  125. Thu May 21 07:14:45 2026 removing 6813096 relations and 4813096 ideals in 2000000 cliques
  126. Thu May 21 07:14:47 2026 commencing in-memory singleton removal
  127. Thu May 21 07:14:47 2026 begin with 67564368 relations and 65149275 unique ideals
  128. Thu May 21 07:14:50 2026 reduce to 67111291 relations and 59872599 ideals in 7 passes
  129. Thu May 21 07:14:50 2026 max relations containing the same ideal: 85
  130. Thu May 21 07:15:06 2026 removing 6837343 relations and 4837343 ideals in 2000000 cliques
  131. Thu May 21 07:15:08 2026 commencing in-memory singleton removal
  132. Thu May 21 07:15:09 2026 begin with 60273948 relations and 59872599 unique ideals
  133. Thu May 21 07:15:11 2026 reduce to 59768184 relations and 54516344 ideals in 7 passes
  134. Thu May 21 07:15:11 2026 max relations containing the same ideal: 80
  135. Thu May 21 07:15:26 2026 removing 6879867 relations and 4879867 ideals in 2000000 cliques
  136. Thu May 21 07:15:27 2026 commencing in-memory singleton removal
  137. Thu May 21 07:15:28 2026 begin with 52888317 relations and 54516344 unique ideals
  138. Thu May 21 07:15:31 2026 reduce to 52310757 relations and 49042269 ideals in 8 passes
  139. Thu May 21 07:15:31 2026 max relations containing the same ideal: 70
  140. Thu May 21 07:15:46 2026 removing 6089821 relations and 4390753 ideals in 1699068 cliques
  141. Thu May 21 07:15:47 2026 commencing in-memory singleton removal
  142. Thu May 21 07:15:47 2026 begin with 46220936 relations and 49042269 unique ideals
  143. Thu May 21 07:15:49 2026 reduce to 45696239 relations and 44111796 ideals in 8 passes
  144. Thu May 21 07:15:49 2026 max relations containing the same ideal: 64
  145. Thu May 21 07:16:00 2026 removing 114469 relations and 99446 ideals in 15023 cliques
  146. Thu May 21 07:16:01 2026 commencing in-memory singleton removal
  147. Thu May 21 07:16:01 2026 begin with 45581770 relations and 44111796 unique ideals
  148. Thu May 21 07:16:02 2026 reduce to 45581591 relations and 44012171 ideals in 5 passes
  149. Thu May 21 07:16:02 2026 max relations containing the same ideal: 64
  150. Thu May 21 07:16:03 2026 trying target density 80
  151. Thu May 21 07:16:06 2026 relations with 0 large ideals: 115558
  152. Thu May 21 07:16:06 2026 relations with 1 large ideals: 39670
  153. Thu May 21 07:16:06 2026 relations with 2 large ideals: 452335
  154. Thu May 21 07:16:06 2026 relations with 3 large ideals: 2401347
  155. Thu May 21 07:16:06 2026 relations with 4 large ideals: 6823733
  156. Thu May 21 07:16:06 2026 relations with 5 large ideals: 11423392
  157. Thu May 21 07:16:06 2026 relations with 6 large ideals: 13118359
  158. Thu May 21 07:16:06 2026 relations with 7+ large ideals: 11207197
  159. Thu May 21 07:16:06 2026 commencing 2-way merge
  160. Thu May 21 07:16:37 2026 reduce to 29821290 relation sets and 28251870 unique ideals
  161. Thu May 21 07:16:37 2026 commencing full merge
  162. Thu May 21 07:22:38 2026 memory use: 3440.8 MB
  163. Thu May 21 07:22:41 2026 found 15284044 cycles, need 15072070
  164. Thu May 21 07:22:45 2026 weight of 15072070 cycles is about 1205916335 (80.01/cycle)
  165. Thu May 21 07:22:45 2026 distribution of cycle lengths:
  166. Thu May 21 07:22:45 2026 1 relations: 1313414
  167. Thu May 21 07:22:45 2026 2 relations: 1513257
  168. Thu May 21 07:22:45 2026 3 relations: 1591344
  169. Thu May 21 07:22:45 2026 4 relations: 1546381
  170. Thu May 21 07:22:45 2026 5 relations: 1487295
  171. Thu May 21 07:22:45 2026 6 relations: 1386983
  172. Thu May 21 07:22:45 2026 7 relations: 1250807
  173. Thu May 21 07:22:45 2026 8 relations: 1097882
  174. Thu May 21 07:22:45 2026 9 relations: 929542
  175. Thu May 21 07:22:45 2026 10+ relations: 2955165
  176. Thu May 21 07:22:45 2026 heaviest cycle: 23 relations
  177. Thu May 21 07:22:48 2026 commencing cycle optimization
  178. Thu May 21 07:23:08 2026 start with 93204198 relations
  179. Thu May 21 07:25:04 2026 pruned 2846684 relations
  180. Thu May 21 07:25:05 2026 memory use: 2841.6 MB
  181. Thu May 21 07:25:05 2026 distribution of cycle lengths:
  182. Thu May 21 07:25:05 2026 1 relations: 1313414
  183. Thu May 21 07:25:06 2026 2 relations: 1542348
  184. Thu May 21 07:25:06 2026 3 relations: 1648213
  185. Thu May 21 07:25:06 2026 4 relations: 1596436
  186. Thu May 21 07:25:06 2026 5 relations: 1544110
  187. Thu May 21 07:25:06 2026 6 relations: 1429629
  188. Thu May 21 07:25:06 2026 7 relations: 1288130
  189. Thu May 21 07:25:06 2026 8 relations: 1116771
  190. Thu May 21 07:25:06 2026 9 relations: 933480
  191. Thu May 21 07:25:06 2026 10+ relations: 2659539
  192. Thu May 21 07:25:06 2026 heaviest cycle: 22 relations
  193. Thu May 21 07:25:25 2026 trying target density 100
  194. Thu May 21 07:25:28 2026 relations with 0 large ideals: 115558
  195. Thu May 21 07:25:28 2026 relations with 1 large ideals: 39670
  196. Thu May 21 07:25:28 2026 relations with 2 large ideals: 452335
  197. Thu May 21 07:25:28 2026 relations with 3 large ideals: 2401347
  198. Thu May 21 07:25:28 2026 relations with 4 large ideals: 6823733
  199. Thu May 21 07:25:28 2026 relations with 5 large ideals: 11423392
  200. Thu May 21 07:25:28 2026 relations with 6 large ideals: 13118359
  201. Thu May 21 07:25:28 2026 relations with 7+ large ideals: 11207197
  202. Thu May 21 07:25:28 2026 commencing 2-way merge
  203. Thu May 21 07:25:47 2026 reduce to 29821290 relation sets and 28251870 unique ideals
  204. Thu May 21 07:25:47 2026 commencing full merge
  205. Thu May 21 07:33:24 2026 memory use: 3526.7 MB
  206. Thu May 21 07:33:27 2026 found 14143646 cycles, need 13970070
  207. Thu May 21 07:33:31 2026 weight of 13970070 cycles is about 1397384919 (100.03/cycle)
  208. Thu May 21 07:33:31 2026 distribution of cycle lengths:
  209. Thu May 21 07:33:31 2026 1 relations: 841959
  210. Thu May 21 07:33:31 2026 2 relations: 1030162
  211. Thu May 21 07:33:31 2026 3 relations: 1150358
  212. Thu May 21 07:33:31 2026 4 relations: 1158461
  213. Thu May 21 07:33:31 2026 5 relations: 1156987
  214. Thu May 21 07:33:31 2026 6 relations: 1122487
  215. Thu May 21 07:33:31 2026 7 relations: 1068550
  216. Thu May 21 07:33:31 2026 8 relations: 1001179
  217. Thu May 21 07:33:31 2026 9 relations: 913572
  218. Thu May 21 07:33:31 2026 10+ relations: 4526355
  219. Thu May 21 07:33:31 2026 heaviest cycle: 28 relations
  220. Thu May 21 07:33:33 2026 commencing cycle optimization
  221. Thu May 21 07:33:56 2026 start with 108403657 relations
  222. Thu May 21 07:36:52 2026 pruned 4256987 relations
  223. Thu May 21 07:36:52 2026 memory use: 2999.0 MB
  224. Thu May 21 07:36:52 2026 distribution of cycle lengths:
  225. Thu May 21 07:36:52 2026 1 relations: 841959
  226. Thu May 21 07:36:52 2026 2 relations: 1052242
  227. Thu May 21 07:36:52 2026 3 relations: 1195053
  228. Thu May 21 07:36:52 2026 4 relations: 1202704
  229. Thu May 21 07:36:52 2026 5 relations: 1210182
  230. Thu May 21 07:36:52 2026 6 relations: 1170029
  231. Thu May 21 07:36:52 2026 7 relations: 1117154
  232. Thu May 21 07:36:52 2026 8 relations: 1039581
  233. Thu May 21 07:36:52 2026 9 relations: 943783
  234. Thu May 21 07:36:52 2026 10+ relations: 4197383
  235. Thu May 21 07:36:52 2026 heaviest cycle: 28 relations
  236. Thu May 21 07:37:11 2026 trying target density 120
  237. Thu May 21 07:37:14 2026 relations with 0 large ideals: 115558
  238. Thu May 21 07:37:14 2026 relations with 1 large ideals: 39670
  239. Thu May 21 07:37:14 2026 relations with 2 large ideals: 452335
  240. Thu May 21 07:37:14 2026 relations with 3 large ideals: 2401347
  241. Thu May 21 07:37:14 2026 relations with 4 large ideals: 6823733
  242. Thu May 21 07:37:14 2026 relations with 5 large ideals: 11423392
  243. Thu May 21 07:37:14 2026 relations with 6 large ideals: 13118359
  244. Thu May 21 07:37:14 2026 relations with 7+ large ideals: 11207197
  245. Thu May 21 07:37:14 2026 commencing 2-way merge
  246. Thu May 21 07:37:31 2026 reduce to 29821290 relation sets and 28251870 unique ideals
  247. Thu May 21 07:37:31 2026 commencing full merge
  248. Thu May 21 07:46:33 2026 memory use: 3564.1 MB
  249. Thu May 21 07:46:35 2026 found 13239958 cycles, need 13190070
  250. Thu May 21 07:46:39 2026 weight of 13190070 cycles is about 1582937346 (120.01/cycle)
  251. Thu May 21 07:46:39 2026 distribution of cycle lengths:
  252. Thu May 21 07:46:39 2026 1 relations: 583267
  253. Thu May 21 07:46:39 2026 2 relations: 755149
  254. Thu May 21 07:46:39 2026 3 relations: 873973
  255. Thu May 21 07:46:39 2026 4 relations: 902321
  256. Thu May 21 07:46:39 2026 5 relations: 922069
  257. Thu May 21 07:46:39 2026 6 relations: 911450
  258. Thu May 21 07:46:39 2026 7 relations: 895052
  259. Thu May 21 07:46:39 2026 8 relations: 863338
  260. Thu May 21 07:46:39 2026 9 relations: 819206
  261. Thu May 21 07:46:39 2026 10+ relations: 5664245
  262. Thu May 21 07:46:39 2026 heaviest cycle: 28 relations
  263. Thu May 21 07:46:42 2026 commencing cycle optimization
  264. Thu May 21 07:47:04 2026 start with 122850187 relations
  265. Thu May 21 07:50:51 2026 pruned 5747683 relations
  266. Thu May 21 07:50:51 2026 memory use: 3143.2 MB
  267. Thu May 21 07:50:51 2026 distribution of cycle lengths:
  268. Thu May 21 07:50:51 2026 1 relations: 583267
  269. Thu May 21 07:50:51 2026 2 relations: 772365
  270. Thu May 21 07:50:51 2026 3 relations: 909269
  271. Thu May 21 07:50:51 2026 4 relations: 939999
  272. Thu May 21 07:50:51 2026 5 relations: 968300
  273. Thu May 21 07:50:51 2026 6 relations: 956027
  274. Thu May 21 07:50:51 2026 7 relations: 943719
  275. Thu May 21 07:50:51 2026 8 relations: 907097
  276. Thu May 21 07:50:51 2026 9 relations: 860604
  277. Thu May 21 07:50:51 2026 10+ relations: 5349423
  278. Thu May 21 07:50:51 2026 heaviest cycle: 28 relations
  279. Thu May 21 07:51:11 2026 RelProcTime: 5191
  280. Thu May 21 07:51:13 2026
  281. Thu May 21 07:51:13 2026 commencing linear algebra
  282. Thu May 21 07:51:13 2026 using VBITS=256
  283. Thu May 21 07:51:13 2026 building matrices for all densities
  284. Thu May 21 07:51:13 2026 found 3 density files
  285. Thu May 21 07:51:13 2026 building matrix for density 80
  286. Thu May 21 07:51:17 2026 read 15072070 cycles
  287. Thu May 21 07:51:35 2026 cycles contain 44683418 unique relations
  288. Thu May 21 07:57:13 2026 read 44683418 relations
  289. Thu May 21 07:57:19 2026 using 20 quadratic characters above 4294917295
  290. Thu May 21 07:57:30 2026 building initial matrix
  291. Thu May 21 08:03:25 2026 memory use: 5538.3 MB
  292. Thu May 21 08:03:35 2026 read 15072070 cycles
  293. Thu May 21 08:03:37 2026 matrix is 15071891 x 15072070 (5059.4 MB) with weight 1450282295 (96.22/col)
  294. Thu May 21 08:03:37 2026 sparse part has weight 1160505027 (77.00/col)
  295. Thu May 21 08:05:16 2026 filtering completed in 2 passes
  296. Thu May 21 08:05:19 2026 matrix is 15067670 x 15067834 (5059.1 MB) with weight 1450157558 (96.24/col)
  297. Thu May 21 08:05:19 2026 sparse part has weight 1160457955 (77.02/col)
  298. Thu May 21 08:05:46 2026 building matrix for density 100
  299. Thu May 21 08:05:47 2026 read 13970070 cycles
  300. Thu May 21 08:06:11 2026 cycles contain 44701746 unique relations
  301. Thu May 21 08:07:15 2026 read 44701746 relations
  302. Thu May 21 08:07:23 2026 using 20 quadratic characters above 4294917295
  303. Thu May 21 08:07:33 2026 building initial matrix
  304. Thu May 21 08:14:08 2026 memory use: 5559.2 MB
  305. Thu May 21 08:14:13 2026 read 13970070 cycles
  306. Thu May 21 08:14:15 2026 matrix is 13969893 x 13970070 (5641.9 MB) with weight 1610169755 (115.26/col)
  307. Thu May 21 08:14:15 2026 sparse part has weight 1325316284 (94.87/col)
  308. Thu May 21 08:15:56 2026 filtering completed in 2 passes
  309. Thu May 21 08:15:59 2026 matrix is 13968049 x 13968210 (5641.7 MB) with weight 1610105431 (115.27/col)
  310. Thu May 21 08:15:59 2026 sparse part has weight 1325289404 (94.88/col)
  311. Thu May 21 08:16:24 2026 building matrix for density 120
  312. Thu May 21 08:16:29 2026 read 13190070 cycles
  313. Thu May 21 08:16:45 2026 cycles contain 44706887 unique relations
  314. Thu May 21 08:17:19 2026 read 44706887 relations
  315. Thu May 21 08:17:27 2026 using 20 quadratic characters above 4294917295
  316. Thu May 21 08:17:38 2026 building initial matrix
  317. Thu May 21 08:24:26 2026 memory use: 5553.4 MB
  318. Thu May 21 08:24:32 2026 read 13190070 cycles
  319. Thu May 21 08:24:34 2026 matrix is 13189893 x 13190070 (6203.1 MB) with weight 1762830567 (133.65/col)
  320. Thu May 21 08:24:34 2026 sparse part has weight 1481013217 (112.28/col)
  321. Thu May 21 08:26:10 2026 filtering completed in 2 passes
  322. Thu May 21 08:26:11 2026 matrix is 13189522 x 13189684 (6203.1 MB) with weight 1762816595 (133.65/col)
  323. Thu May 21 08:26:11 2026 sparse part has weight 1481007502 (112.29/col)
  324. Thu May 21 08:26:37 2026 BLanczosTime: 2124
  325. Thu May 21 08:26:37 2026 elapsed time 02:01:57
  326. Thu May 21 09:11:25 2026
  327. Thu May 21 09:11:25 2026
  328. Thu May 21 09:11:25 2026 Msieve v. 1.54 (SVN unknown)
  329. Thu May 21 09:11:25 2026 random seeds: 75cbe216 6bc0b6aa
  330. Thu May 21 09:11:25 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits)
  331. Thu May 21 09:11:26 2026 no P-1/P+1/ECM available, skipping
  332. Thu May 21 09:11:26 2026 commencing number field sieve (232-digit input)
  333. Thu May 21 09:11:26 2026 R0: 59465492126971613064018225901578351777027317863730
  334. Thu May 21 09:11:26 2026 R1: -7711387172679868306809223
  335. Thu May 21 09:11:26 2026 A0: 1
  336. Thu May 21 09:11:26 2026 A1: 3
  337. Thu May 21 09:11:26 2026 A2: -3
  338. Thu May 21 09:11:26 2026 A3: -4
  339. Thu May 21 09:11:26 2026 A4: 1
  340. Thu May 21 09:11:26 2026 A5: 1
  341. Thu May 21 09:11:26 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5
  342. Thu May 21 09:11:26 2026
  343. Thu May 21 09:11:26 2026 commencing linear algebra
  344. Thu May 21 09:11:26 2026 using VBITS=256
  345. Thu May 21 09:11:26 2026 skipping matrix build
  346. Thu May 21 09:11:58 2026 matrix starts at (0, 0)
  347. Thu May 21 09:12:02 2026 matrix is 13189522 x 13189684 (6203.1 MB) with weight 1762816595 (133.65/col)
  348. Thu May 21 09:12:02 2026 sparse part has weight 1481007502 (112.29/col)
  349. Thu May 21 09:12:02 2026 saving the first 240 matrix rows for later
  350. Thu May 21 09:12:06 2026 matrix includes 256 packed rows
  351. Thu May 21 09:12:11 2026 matrix is 13189282 x 13189684 (5705.8 MB) with weight 1353396211 (102.61/col)
  352. Thu May 21 09:12:11 2026 sparse part has weight 1284698507 (97.40/col)
  353. Thu May 21 09:12:11 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  354. Thu May 21 09:12:11 2026 selected card has CUDA arch 12.0
  355. Thu May 21 09:22:10 2026 commencing Lanczos iteration
  356. Thu May 21 09:22:10 2026 memory use: 13122.2 MB
  357. Thu May 21 09:23:24 2026 linear algebra at 0.2%, ETA 8h35m
  358. Thu May 21 09:25:11 2026 checking every 20000 dimensions, checkpointing every 1560000 dimensions
  359. Thu May 21 17:52:39 2026 lanczos halted after 51675 iterations (dim = 13189278)
  360. Thu May 21 17:53:35 2026 recovered 33 nontrivial dependencies
  361. Thu May 21 17:53:36 2026 BLanczosTime: 31330
  362. Thu May 21 17:53:36 2026 elapsed time 08:42:11
  363. Thu May 21 18:57:57 2026
  364. Thu May 21 18:57:57 2026
  365. Thu May 21 18:57:57 2026 Msieve v. 1.54 (SVN unknown)
  366. Thu May 21 18:57:57 2026 random seeds: 8090a7e7 2c34d546
  367. Thu May 21 18:57:57 2026 Using 8 OpenMP threads
  368. Thu May 21 18:57:57 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits)
  369. Thu May 21 18:57:58 2026 no P-1/P+1/ECM available, skipping
  370. Thu May 21 18:57:58 2026 commencing number field sieve (232-digit input)
  371. Thu May 21 18:57:58 2026 R0: 59465492126971613064018225901578351777027317863730
  372. Thu May 21 18:57:58 2026 R1: -7711387172679868306809223
  373. Thu May 21 18:57:58 2026 A0: 1
  374. Thu May 21 18:57:58 2026 A1: 3
  375. Thu May 21 18:57:58 2026 A2: -3
  376. Thu May 21 18:57:58 2026 A3: -4
  377. Thu May 21 18:57:58 2026 A4: 1
  378. Thu May 21 18:57:58 2026 A5: 1
  379. Thu May 21 18:57:58 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5
  380. Thu May 21 18:57:58 2026
  381. Thu May 21 18:57:58 2026 commencing square root phase
  382. Thu May 21 18:57:58 2026 reading relations for dependency 1
  383. Thu May 21 18:58:04 2026 read 6595402 cycles
  384. Thu May 21 18:58:27 2026 cycles contain 22359116 unique relations
  385. Thu May 21 19:08:32 2026 read 22359116 relations
  386. Thu May 21 19:10:47 2026 multiplying 22359116 relations
  387. Thu May 21 19:12:18 2026 multiply complete, coefficients have about 568.53 million bits
  388. Thu May 21 19:12:19 2026 initial square root is modulo 126079
  389. Thu May 21 19:15:48 2026 GCD is N, no factor found
  390. Thu May 21 19:15:48 2026 reading relations for dependency 2
  391. Thu May 21 19:15:50 2026 read 6592537 cycles
  392. Thu May 21 19:16:09 2026 cycles contain 22346336 unique relations
  393. Thu May 21 19:20:10 2026 read 22346336 relations
  394. Thu May 21 19:22:08 2026 multiplying 22346336 relations
  395. Thu May 21 19:23:40 2026 multiply complete, coefficients have about 568.21 million bits
  396. Thu May 21 19:23:42 2026 initial square root is modulo 125243
  397. Thu May 21 19:27:16 2026 GCD is N, no factor found
  398. Thu May 21 19:27:16 2026 reading relations for dependency 3
  399. Thu May 21 19:27:17 2026 read 6594319 cycles
  400. Thu May 21 19:27:36 2026 cycles contain 22355640 unique relations
  401. Thu May 21 19:28:36 2026 read 22355640 relations
  402. Thu May 21 19:30:23 2026 multiplying 22355640 relations
  403. Thu May 21 19:31:51 2026 multiply complete, coefficients have about 568.44 million bits
  404. Thu May 21 19:31:52 2026 initial square root is modulo 125887
  405. Thu May 21 19:35:24 2026 GCD is N, no factor found
  406. Thu May 21 19:35:24 2026 reading relations for dependency 4
  407. Thu May 21 19:35:25 2026 read 6591580 cycles
  408. Thu May 21 19:35:41 2026 cycles contain 22348214 unique relations
  409. Thu May 21 19:36:35 2026 read 22348214 relations
  410. Thu May 21 19:38:25 2026 multiplying 22348214 relations
  411. Thu May 21 19:39:55 2026 multiply complete, coefficients have about 568.25 million bits
  412. Thu May 21 19:39:56 2026 initial square root is modulo 125353
  413. Thu May 21 19:43:35 2026 GCD is 1, no factor found
  414. Thu May 21 19:43:35 2026 reading relations for dependency 5
  415. Thu May 21 19:43:36 2026 read 6597734 cycles
  416. Thu May 21 19:43:55 2026 cycles contain 22361344 unique relations
  417. Thu May 21 19:44:58 2026 read 22361344 relations
  418. Thu May 21 19:46:45 2026 multiplying 22361344 relations
  419. Thu May 21 19:48:12 2026 multiply complete, coefficients have about 568.58 million bits
  420. Thu May 21 19:48:14 2026 initial square root is modulo 126211
  421. Thu May 21 19:51:47 2026 sqrtTime: 3229
  422. Thu May 21 19:51:47 2026 p101 factor: 14908559486566540577235881336398102153850765637917435494464723605707623759773839261181547138898679563
  423. Thu May 21 19:51:47 2026 p132 factor: 324758061323527416489970942326261571072420565293690263412879476363630563173336461079025257887655900699643935300168774219857557163011
  424. Thu May 21 19:51:47 2026 elapsed time 00:53:50
  425.  
Tags: math
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