kyleaskine

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Jun 23rd, 2026
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  1. Tue Jun 23 07:45:50 2026
  2. Tue Jun 23 07:45:50 2026
  3. Tue Jun 23 07:45:50 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Jun 23 07:45:50 2026 random seeds: 73a9d938 5a379d18
  5. Tue Jun 23 07:45:50 2026 Using 8 OpenMP threads
  6. Tue Jun 23 07:45:50 2026 factoring 44183921287634756883451134383953484340795632581439523110858013880658967590718711637362811395405366400443117120355307322458067090776803856191858699053949591896440689269957276639913847406213606079708784452268257616701267973 (221 digits)
  7. Tue Jun 23 07:45:50 2026 no P-1/P+1/ECM available, skipping
  8. Tue Jun 23 07:45:50 2026 commencing number field sieve (221-digit input)
  9. Tue Jun 23 07:45:50 2026 R0: 3504840648549616177659639796724967627214321
  10. Tue Jun 23 07:45:50 2026 R1: -1
  11. Tue Jun 23 07:45:50 2026 A0: -43268024731
  12. Tue Jun 23 07:45:50 2026 A1: 0
  13. Tue Jun 23 07:45:50 2026 A2: 0
  14. Tue Jun 23 07:45:50 2026 A3: 0
  15. Tue Jun 23 07:45:50 2026 A4: 0
  16. Tue Jun 23 07:45:50 2026 A5: 0
  17. Tue Jun 23 07:45:50 2026 A6: 1
  18. Tue Jun 23 07:45:50 2026 skew 75.94, size 2.570e-13, alpha -1.523, combined = 4.599e-14 rroots = 2
  19. Tue Jun 23 07:45:50 2026
  20. Tue Jun 23 07:45:50 2026 commencing relation filtering
  21. Tue Jun 23 07:45:50 2026 setting 3 target densities:Tue Jun 23 07:45:50 2026 100Tue Jun 23 07:45:50 2026 120Tue Jun 23 07:45:50 2026 140Tue Jun 23 07:45:50 2026
  22. Tue Jun 23 07:45:50 2026 estimated available RAM is 78540.1 MB
  23. Tue Jun 23 07:45:50 2026 commencing duplicate removal, pass 1
  24. Tue Jun 23 07:47:17 2026 error -1 reading relation 37094696
  25. Tue Jun 23 07:48:55 2026 error -1 reading relation 78658277
  26. Tue Jun 23 07:49:34 2026 error -1 reading relation 96756105
  27. Tue Jun 23 07:49:42 2026 error -1 reading relation 100045186
  28. Tue Jun 23 07:49:42 2026 error -1 reading relation 100107156
  29. Tue Jun 23 07:50:09 2026 error -1 reading relation 112260457
  30. Tue Jun 23 07:50:19 2026 error -1 reading relation 116610623
  31. Tue Jun 23 07:50:21 2026 error -1 reading relation 117220807
  32. Tue Jun 23 07:50:32 2026 error -1 reading relation 121648107
  33. Tue Jun 23 07:50:49 2026 error -1 reading relation 127937776
  34. Tue Jun 23 07:50:50 2026 error -1 reading relation 128085055
  35. Tue Jun 23 07:51:05 2026 error -1 reading relation 134300451
  36. Tue Jun 23 07:51:28 2026 error -1 reading relation 143297663
  37. Tue Jun 23 07:51:45 2026 error -1 reading relation 150830721
  38. Tue Jun 23 07:52:02 2026 error -1 reading relation 158131986
  39. Tue Jun 23 07:52:34 2026 error -1 reading relation 172853590
  40. Tue Jun 23 07:52:58 2026 error -1 reading relation 183793463
  41. Tue Jun 23 07:53:50 2026 error -1 reading relation 210028139
  42. Tue Jun 23 07:54:36 2026 error -1 reading relation 229810910
  43. Tue Jun 23 07:54:48 2026 error -1 reading relation 236000283
  44. Tue Jun 23 07:54:49 2026 error -1 reading relation 236194161
  45. Tue Jun 23 07:54:49 2026 error -15 reading relation 236415191
  46. Tue Jun 23 07:54:50 2026 error -15 reading relation 236564010
  47. Tue Jun 23 07:54:50 2026 error -15 reading relation 236694443
  48. Tue Jun 23 07:54:51 2026 error -15 reading relation 237201147
  49. Tue Jun 23 07:54:52 2026 error -15 reading relation 237556281
  50. Tue Jun 23 07:55:32 2026 error -5 reading relation 255207325
  51. Tue Jun 23 07:55:41 2026 error -1 reading relation 259535895
  52. Tue Jun 23 07:55:44 2026 error -1 reading relation 260900686
  53. Tue Jun 23 07:55:45 2026 error -1 reading relation 261327339
  54. Tue Jun 23 07:55:48 2026 error -1 reading relation 262812440
  55. Tue Jun 23 07:56:15 2026 error -1 reading relation 274696937
  56. Tue Jun 23 07:57:10 2026 error -1 reading relation 297528504
  57. Tue Jun 23 07:57:15 2026 error -1 reading relation 300188406
  58. Tue Jun 23 07:57:43 2026 error -1 reading relation 313657520
  59. Tue Jun 23 07:57:43 2026 error -1 reading relation 313679393
  60. Tue Jun 23 07:58:31 2026 error -1 reading relation 339067157
  61. Tue Jun 23 07:58:59 2026 error -1 reading relation 354011225
  62. Tue Jun 23 07:59:22 2026 error -1 reading relation 366893553
  63. Tue Jun 23 07:59:22 2026 error -1 reading relation 366894506
  64. Tue Jun 23 07:59:29 2026 error -1 reading relation 370357493
  65. Tue Jun 23 07:59:29 2026 error -1 reading relation 370793198
  66. Tue Jun 23 07:59:30 2026 error -1 reading relation 371161923
  67. Tue Jun 23 07:59:45 2026 error -1 reading relation 378429134
  68. Tue Jun 23 07:59:48 2026 error -15 reading relation 379391488
  69. Tue Jun 23 07:59:48 2026 error -1 reading relation 379391489
  70. Tue Jun 23 07:59:49 2026 error -11 reading relation 380492453
  71. Tue Jun 23 07:59:51 2026 error -1 reading relation 381201631
  72. Tue Jun 23 07:59:51 2026 error -15 reading relation 381209258
  73. Tue Jun 23 07:59:51 2026 error -1 reading relation 381209259
  74. Tue Jun 23 07:59:53 2026 error -15 reading relation 382153885
  75. Tue Jun 23 08:00:02 2026 error -15 reading relation 386358552
  76. Tue Jun 23 08:00:02 2026 error -15 reading relation 386397154
  77. Tue Jun 23 08:00:02 2026 error -15 reading relation 386402823
  78. Tue Jun 23 08:00:02 2026 error -15 reading relation 386410015
  79. Tue Jun 23 08:00:04 2026 error -1 reading relation 387500627
  80. Tue Jun 23 08:00:33 2026 error -1 reading relation 402331323
  81. Tue Jun 23 08:00:34 2026 error -1 reading relation 403338598
  82. Tue Jun 23 08:00:46 2026 error -1 reading relation 408679902
  83. Tue Jun 23 08:00:50 2026 error -1 reading relation 410981252
  84. Tue Jun 23 08:00:58 2026 error -1 reading relation 415206405
  85. Tue Jun 23 08:01:28 2026 error -1 reading relation 430222207
  86. Tue Jun 23 08:01:33 2026 error -1 reading relation 432892403
  87. Tue Jun 23 08:01:34 2026 error -1 reading relation 433011748
  88. Tue Jun 23 08:01:36 2026 error -1 reading relation 434105474
  89. Tue Jun 23 08:01:38 2026 error -15 reading relation 435073721
  90. Tue Jun 23 08:01:40 2026 error -1 reading relation 436179349
  91. Tue Jun 23 08:01:51 2026 skipped 3 relations with b > 2^32
  92. Tue Jun 23 08:01:51 2026 skipped 3 relations with composite factors
  93. Tue Jun 23 08:01:51 2026 skipped 572 malformed relations
  94. Tue Jun 23 08:01:51 2026 found 95028161 hash collisions in 441135802 relations
  95. Tue Jun 23 08:01:56 2026 added 1217656 free relations
  96. Tue Jun 23 08:01:56 2026 commencing duplicate removal, pass 2
  97. Tue Jun 23 08:07:19 2026 found 100746633 duplicates and 341606825 unique relations
  98. Tue Jun 23 08:07:19 2026 memory use: 2643.0 MB
  99. Tue Jun 23 08:07:19 2026 reading ideals above 218038272
  100. Tue Jun 23 08:07:19 2026 commencing singleton removal, initial pass
  101. Tue Jun 23 08:30:47 2026 memory use: 6024.0 MB
  102. Tue Jun 23 08:30:48 2026 reading all ideals from disk
  103. Tue Jun 23 08:30:52 2026 memory use: 8844.5 MB
  104. Tue Jun 23 08:31:10 2026 commencing in-memory singleton removal
  105. Tue Jun 23 08:31:15 2026 begin with 341606825 relations and 305568522 unique ideals
  106. Tue Jun 23 08:32:03 2026 reduce to 202872936 relations and 151329678 ideals in 17 passes
  107. Tue Jun 23 08:32:03 2026 max relations containing the same ideal: 27
  108. Tue Jun 23 08:32:10 2026 reading ideals above 720000
  109. Tue Jun 23 08:32:10 2026 commencing singleton removal, initial pass
  110. Tue Jun 23 08:56:24 2026 memory use: 5512.0 MB
  111. Tue Jun 23 08:56:25 2026 reading all ideals from disk
  112. Tue Jun 23 08:56:31 2026 memory use: 10056.0 MB
  113. Tue Jun 23 08:56:53 2026 keeping 174310574 ideals with weight <= 200, target excess is 1054024
  114. Tue Jun 23 08:57:23 2026 commencing in-memory singleton removal
  115. Tue Jun 23 08:57:26 2026 begin with 202872936 relations and 174310574 unique ideals
  116. Tue Jun 23 08:58:01 2026 reduce to 202866238 relations and 174303876 ideals in 8 passes
  117. Tue Jun 23 08:58:01 2026 max relations containing the same ideal: 200
  118. Tue Jun 23 08:59:57 2026 removing 14397472 relations and 12397472 ideals in 2000000 cliques
  119. Tue Jun 23 09:00:02 2026 commencing in-memory singleton removal
  120. Tue Jun 23 09:00:07 2026 begin with 188468766 relations and 174303876 unique ideals
  121. Tue Jun 23 09:00:45 2026 reduce to 187654380 relations and 161080885 ideals in 9 passes
  122. Tue Jun 23 09:00:45 2026 max relations containing the same ideal: 197
  123. Tue Jun 23 09:02:37 2026 removing 10842938 relations and 8842938 ideals in 2000000 cliques
  124. Tue Jun 23 09:02:44 2026 commencing in-memory singleton removal
  125. Tue Jun 23 09:02:50 2026 begin with 176811442 relations and 161080885 unique ideals
  126. Tue Jun 23 09:03:21 2026 reduce to 176287537 relations and 151708071 ideals in 8 passes
  127. Tue Jun 23 09:03:21 2026 max relations containing the same ideal: 192
  128. Tue Jun 23 09:05:06 2026 removing 9747823 relations and 7747823 ideals in 2000000 cliques
  129. Tue Jun 23 09:05:10 2026 commencing in-memory singleton removal
  130. Tue Jun 23 09:05:14 2026 begin with 166539714 relations and 151708071 unique ideals
  131. Tue Jun 23 09:05:48 2026 reduce to 166086287 relations and 143501624 ideals in 8 passes
  132. Tue Jun 23 09:05:48 2026 max relations containing the same ideal: 187
  133. Tue Jun 23 09:07:26 2026 removing 9169656 relations and 7169656 ideals in 2000000 cliques
  134. Tue Jun 23 09:07:32 2026 commencing in-memory singleton removal
  135. Tue Jun 23 09:07:36 2026 begin with 156916631 relations and 143501624 unique ideals
  136. Tue Jun 23 09:08:04 2026 reduce to 156490028 relations and 135900486 ideals in 8 passes
  137. Tue Jun 23 09:08:04 2026 max relations containing the same ideal: 180
  138. Tue Jun 23 09:09:42 2026 removing 8811284 relations and 6811284 ideals in 2000000 cliques
  139. Tue Jun 23 09:09:47 2026 commencing in-memory singleton removal
  140. Tue Jun 23 09:09:51 2026 begin with 147678744 relations and 135900486 unique ideals
  141. Tue Jun 23 09:10:16 2026 reduce to 147262785 relations and 128668251 ideals in 7 passes
  142. Tue Jun 23 09:10:16 2026 max relations containing the same ideal: 176
  143. Tue Jun 23 09:11:54 2026 removing 8567526 relations and 6567526 ideals in 2000000 cliques
  144. Tue Jun 23 09:11:58 2026 commencing in-memory singleton removal
  145. Tue Jun 23 09:12:02 2026 begin with 138695259 relations and 128668251 unique ideals
  146. Tue Jun 23 09:12:27 2026 reduce to 138279328 relations and 121679712 ideals in 8 passes
  147. Tue Jun 23 09:12:27 2026 max relations containing the same ideal: 168
  148. Tue Jun 23 09:13:56 2026 removing 8402164 relations and 6402164 ideals in 2000000 cliques
  149. Tue Jun 23 09:14:00 2026 commencing in-memory singleton removal
  150. Tue Jun 23 09:14:03 2026 begin with 129877164 relations and 121679712 unique ideals
  151. Tue Jun 23 09:14:27 2026 reduce to 129452793 relations and 114847510 ideals in 8 passes
  152. Tue Jun 23 09:14:27 2026 max relations containing the same ideal: 165
  153. Tue Jun 23 09:15:50 2026 removing 8290392 relations and 6290392 ideals in 2000000 cliques
  154. Tue Jun 23 09:15:55 2026 commencing in-memory singleton removal
  155. Tue Jun 23 09:16:00 2026 begin with 121162401 relations and 114847510 unique ideals
  156. Tue Jun 23 09:16:24 2026 reduce to 120726393 relations and 108115282 ideals in 8 passes
  157. Tue Jun 23 09:16:24 2026 max relations containing the same ideal: 159
  158. Tue Jun 23 09:17:44 2026 removing 8224584 relations and 6224584 ideals in 2000000 cliques
  159. Tue Jun 23 09:17:48 2026 commencing in-memory singleton removal
  160. Tue Jun 23 09:17:51 2026 begin with 112501809 relations and 108115282 unique ideals
  161. Tue Jun 23 09:18:08 2026 reduce to 112044819 relations and 101427032 ideals in 7 passes
  162. Tue Jun 23 09:18:08 2026 max relations containing the same ideal: 150
  163. Tue Jun 23 09:19:24 2026 removing 8189095 relations and 6189095 ideals in 2000000 cliques
  164. Tue Jun 23 09:19:27 2026 commencing in-memory singleton removal
  165. Tue Jun 23 09:19:30 2026 begin with 103855724 relations and 101427032 unique ideals
  166. Tue Jun 23 09:19:52 2026 reduce to 103371500 relations and 94746049 ideals in 9 passes
  167. Tue Jun 23 09:19:52 2026 max relations containing the same ideal: 142
  168. Tue Jun 23 09:21:02 2026 removing 8184235 relations and 6184235 ideals in 2000000 cliques
  169. Tue Jun 23 09:21:05 2026 commencing in-memory singleton removal
  170. Tue Jun 23 09:21:08 2026 begin with 95187265 relations and 94746049 unique ideals
  171. Tue Jun 23 09:21:27 2026 reduce to 94665364 relations and 88031197 ideals in 8 passes
  172. Tue Jun 23 09:21:27 2026 max relations containing the same ideal: 133
  173. Tue Jun 23 09:22:29 2026 removing 8209975 relations and 6209975 ideals in 2000000 cliques
  174. Tue Jun 23 09:22:32 2026 commencing in-memory singleton removal
  175. Tue Jun 23 09:22:35 2026 begin with 86455389 relations and 88031197 unique ideals
  176. Tue Jun 23 09:22:55 2026 reduce to 85884573 relations and 81239975 ideals in 10 passes
  177. Tue Jun 23 09:22:55 2026 max relations containing the same ideal: 127
  178. Tue Jun 23 09:23:56 2026 removing 8255924 relations and 6255924 ideals in 2000000 cliques
  179. Tue Jun 23 09:23:59 2026 commencing in-memory singleton removal
  180. Tue Jun 23 09:24:01 2026 begin with 77628649 relations and 81239975 unique ideals
  181. Tue Jun 23 09:24:14 2026 reduce to 76988521 relations and 74331168 ideals in 8 passes
  182. Tue Jun 23 09:24:14 2026 max relations containing the same ideal: 119
  183. Tue Jun 23 09:25:10 2026 removing 6401852 relations and 4967167 ideals in 1434685 cliques
  184. Tue Jun 23 09:25:13 2026 commencing in-memory singleton removal
  185. Tue Jun 23 09:25:15 2026 begin with 70586669 relations and 74331168 unique ideals
  186. Tue Jun 23 09:25:27 2026 reduce to 70172382 relations and 68943074 ideals in 8 passes
  187. Tue Jun 23 09:25:27 2026 max relations containing the same ideal: 109
  188. Tue Jun 23 09:26:18 2026 trying target density 100
  189. Tue Jun 23 09:26:28 2026 relations with 0 large ideals: 36437
  190. Tue Jun 23 09:26:28 2026 relations with 1 large ideals: 9857
  191. Tue Jun 23 09:26:28 2026 relations with 2 large ideals: 150280
  192. Tue Jun 23 09:26:28 2026 relations with 3 large ideals: 1127278
  193. Tue Jun 23 09:26:28 2026 relations with 4 large ideals: 4615796
  194. Tue Jun 23 09:26:28 2026 relations with 5 large ideals: 11338716
  195. Tue Jun 23 09:26:28 2026 relations with 6 large ideals: 17599954
  196. Tue Jun 23 09:26:28 2026 relations with 7+ large ideals: 35294064
  197. Tue Jun 23 09:26:28 2026 commencing 2-way merge
  198. Tue Jun 23 09:27:35 2026 reduce to 43861811 relation sets and 42632503 unique ideals
  199. Tue Jun 23 09:27:35 2026 commencing full merge
  200. Tue Jun 23 09:49:38 2026 memory use: 5627.9 MB
  201. Tue Jun 23 09:49:50 2026 found 21149061 cycles, need 21014703
  202. Tue Jun 23 09:50:01 2026 weight of 21014703 cycles is about 2101487079 (100.00/cycle)
  203. Tue Jun 23 09:50:01 2026 distribution of cycle lengths:
  204. Tue Jun 23 09:50:01 2026 1 relations: 1863845
  205. Tue Jun 23 09:50:01 2026 2 relations: 1893159
  206. Tue Jun 23 09:50:01 2026 3 relations: 1888621
  207. Tue Jun 23 09:50:01 2026 4 relations: 1797728
  208. Tue Jun 23 09:50:01 2026 5 relations: 1733089
  209. Tue Jun 23 09:50:01 2026 6 relations: 1627550
  210. Tue Jun 23 09:50:01 2026 7 relations: 1531660
  211. Tue Jun 23 09:50:01 2026 8 relations: 1400709
  212. Tue Jun 23 09:50:02 2026 9 relations: 1267198
  213. Tue Jun 23 09:50:02 2026 10+ relations: 6011144
  214. Tue Jun 23 09:50:02 2026 heaviest cycle: 28 relations
  215. Tue Jun 23 09:50:10 2026 commencing cycle optimization
  216. Tue Jun 23 09:51:14 2026 start with 150960156 relations
  217. Tue Jun 23 09:58:49 2026 pruned 4988938 relations
  218. Tue Jun 23 09:58:52 2026 memory use: 4438.8 MB
  219. Tue Jun 23 09:58:52 2026 distribution of cycle lengths:
  220. Tue Jun 23 09:58:52 2026 1 relations: 1863845
  221. Tue Jun 23 09:58:52 2026 2 relations: 1933141
  222. Tue Jun 23 09:58:52 2026 3 relations: 1957140
  223. Tue Jun 23 09:58:52 2026 4 relations: 1854691
  224. Tue Jun 23 09:58:52 2026 5 relations: 1796339
  225. Tue Jun 23 09:58:52 2026 6 relations: 1678520
  226. Tue Jun 23 09:58:52 2026 7 relations: 1578986
  227. Tue Jun 23 09:58:52 2026 8 relations: 1435739
  228. Tue Jun 23 09:58:52 2026 9 relations: 1294409
  229. Tue Jun 23 09:58:52 2026 10+ relations: 5621893
  230. Tue Jun 23 09:58:52 2026 heaviest cycle: 27 relations
  231. Tue Jun 23 10:00:02 2026 trying target density 120
  232. Tue Jun 23 10:00:12 2026 relations with 0 large ideals: 36437
  233. Tue Jun 23 10:00:12 2026 relations with 1 large ideals: 9857
  234. Tue Jun 23 10:00:12 2026 relations with 2 large ideals: 150280
  235. Tue Jun 23 10:00:12 2026 relations with 3 large ideals: 1127278
  236. Tue Jun 23 10:00:12 2026 relations with 4 large ideals: 4615796
  237. Tue Jun 23 10:00:12 2026 relations with 5 large ideals: 11338716
  238. Tue Jun 23 10:00:12 2026 relations with 6 large ideals: 17599954
  239. Tue Jun 23 10:00:12 2026 relations with 7+ large ideals: 35294064
  240. Tue Jun 23 10:00:12 2026 commencing 2-way merge
  241. Tue Jun 23 10:01:19 2026 reduce to 43861811 relation sets and 42632503 unique ideals
  242. Tue Jun 23 10:01:19 2026 commencing full merge
  243. Tue Jun 23 10:26:57 2026 memory use: 5765.7 MB
  244. Tue Jun 23 10:27:05 2026 found 19811394 cycles, need 19802703
  245. Tue Jun 23 10:27:09 2026 weight of 19802703 cycles is about 2376756858 (120.02/cycle)
  246. Tue Jun 23 10:27:09 2026 distribution of cycle lengths:
  247. Tue Jun 23 10:27:10 2026 1 relations: 1342628
  248. Tue Jun 23 10:27:10 2026 2 relations: 1460287
  249. Tue Jun 23 10:27:10 2026 3 relations: 1488572
  250. Tue Jun 23 10:27:10 2026 4 relations: 1456117
  251. Tue Jun 23 10:27:10 2026 5 relations: 1418083
  252. Tue Jun 23 10:27:10 2026 6 relations: 1361208
  253. Tue Jun 23 10:27:10 2026 7 relations: 1302530
  254. Tue Jun 23 10:27:10 2026 8 relations: 1232116
  255. Tue Jun 23 10:27:10 2026 9 relations: 1159805
  256. Tue Jun 23 10:27:10 2026 10+ relations: 7581357
  257. Tue Jun 23 10:27:10 2026 heaviest cycle: 28 relations
  258. Tue Jun 23 10:27:16 2026 commencing cycle optimization
  259. Tue Jun 23 10:28:07 2026 start with 170492360 relations
  260. Tue Jun 23 10:35:46 2026 pruned 6829493 relations
  261. Tue Jun 23 10:35:46 2026 memory use: 4640.1 MB
  262. Tue Jun 23 10:35:46 2026 distribution of cycle lengths:
  263. Tue Jun 23 10:35:46 2026 1 relations: 1342628
  264. Tue Jun 23 10:35:46 2026 2 relations: 1492127
  265. Tue Jun 23 10:35:46 2026 3 relations: 1545896
  266. Tue Jun 23 10:35:46 2026 4 relations: 1506929
  267. Tue Jun 23 10:35:46 2026 5 relations: 1477608
  268. Tue Jun 23 10:35:46 2026 6 relations: 1413774
  269. Tue Jun 23 10:35:46 2026 7 relations: 1355490
  270. Tue Jun 23 10:35:46 2026 8 relations: 1277698
  271. Tue Jun 23 10:35:46 2026 9 relations: 1200475
  272. Tue Jun 23 10:35:46 2026 10+ relations: 7190078
  273. Tue Jun 23 10:35:46 2026 heaviest cycle: 28 relations
  274. Tue Jun 23 10:36:44 2026 trying target density 140
  275. Tue Jun 23 10:36:50 2026 relations with 0 large ideals: 36437
  276. Tue Jun 23 10:36:50 2026 relations with 1 large ideals: 9857
  277. Tue Jun 23 10:36:50 2026 relations with 2 large ideals: 150280
  278. Tue Jun 23 10:36:50 2026 relations with 3 large ideals: 1127278
  279. Tue Jun 23 10:36:50 2026 relations with 4 large ideals: 4615796
  280. Tue Jun 23 10:36:50 2026 relations with 5 large ideals: 11338716
  281. Tue Jun 23 10:36:50 2026 relations with 6 large ideals: 17599954
  282. Tue Jun 23 10:36:50 2026 relations with 7+ large ideals: 35294064
  283. Tue Jun 23 10:36:50 2026 commencing 2-way merge
  284. Tue Jun 23 10:37:35 2026 reduce to 43861811 relation sets and 42632503 unique ideals
  285. Tue Jun 23 10:37:35 2026 commencing full merge
  286. Tue Jun 23 11:16:32 2026 memory use: 1972.3 MB
  287. Tue Jun 23 11:16:32 2026 found 118794 cycles, need 9309724
  288. Tue Jun 23 11:16:32 2026 too few cycles, matrix probably cannot build
  289. Tue Jun 23 11:16:33 2026 RelProcTime: 12643
  290. Tue Jun 23 11:16:33 2026
  291. Tue Jun 23 11:16:33 2026 commencing linear algebra
  292. Tue Jun 23 11:16:33 2026 using VBITS=256
  293. Tue Jun 23 11:16:33 2026 building matrices for all densities
  294. Tue Jun 23 11:16:33 2026 found 2 density files
  295. Tue Jun 23 11:16:33 2026 building matrix for density 100
  296. Tue Jun 23 11:16:42 2026 read 21014703 cycles
  297. Tue Jun 23 11:17:12 2026 cycles contain 69301024 unique relations
  298. Tue Jun 23 11:29:55 2026 read 69301024 relations
  299. Tue Jun 23 11:30:40 2026 using 20 quadratic characters above 4294917295
  300. Tue Jun 23 11:31:24 2026 building initial matrix
  301. Tue Jun 23 11:50:43 2026 memory use: 9424.9 MB
  302. Tue Jun 23 11:51:03 2026 read 21014703 cycles
  303. Tue Jun 23 11:51:07 2026 matrix is 21014524 x 21014703 (8495.5 MB) with weight 2519969662 (119.91/col)
  304. Tue Jun 23 11:51:07 2026 sparse part has weight 1995887009 (94.98/col)
  305. Tue Jun 23 11:56:22 2026 filtering completed in 2 passes
  306. Tue Jun 23 11:56:29 2026 matrix is 21011985 x 21012156 (8495.3 MB) with weight 2519876822 (119.92/col)
  307. Tue Jun 23 11:56:29 2026 sparse part has weight 1995858896 (94.99/col)
  308. Tue Jun 23 11:57:43 2026 building matrix for density 120
  309. Tue Jun 23 11:57:55 2026 read 19802703 cycles
  310. Tue Jun 23 11:58:45 2026 cycles contain 69310200 unique relations
  311. Tue Jun 23 12:09:31 2026 read 69310200 relations
  312. Tue Jun 23 12:10:08 2026 using 20 quadratic characters above 4294917295
  313. Tue Jun 23 12:10:56 2026 building initial matrix
  314. Tue Jun 23 12:32:41 2026 memory use: 9144.0 MB
  315. Tue Jun 23 12:33:50 2026 read 19802703 cycles
  316. Tue Jun 23 12:33:54 2026 matrix is 19802526 x 19802703 (9326.5 MB) with weight 2745250089 (138.63/col)
  317. Tue Jun 23 12:33:54 2026 sparse part has weight 2227061115 (112.46/col)
  318. Tue Jun 23 12:39:07 2026 filtering completed in 2 passes
  319. Tue Jun 23 12:39:15 2026 matrix is 19802338 x 19802508 (9326.5 MB) with weight 2745242477 (138.63/col)
  320. Tue Jun 23 12:39:15 2026 sparse part has weight 2227058831 (112.46/col)
  321. Tue Jun 23 12:40:35 2026 BLanczosTime: 5042
  322. Tue Jun 23 12:40:35 2026 elapsed time 04:54:45
  323. Tue Jun 23 18:25:27 2026
  324. Tue Jun 23 18:25:27 2026
  325. Tue Jun 23 18:25:27 2026 Msieve v. 1.54 (SVN unknown)
  326. Tue Jun 23 18:25:27 2026 random seeds: ad10f30a a0e383ea
  327. Tue Jun 23 18:25:27 2026 Using 8 OpenMP threads
  328. Tue Jun 23 18:25:27 2026 factoring 44183921287634756883451134383953484340795632581439523110858013880658967590718711637362811395405366400443117120355307322458067090776803856191858699053949591896440689269957276639913847406213606079708784452268257616701267973 (221 digits)
  329. Tue Jun 23 18:25:27 2026 no P-1/P+1/ECM available, skipping
  330. Tue Jun 23 18:25:27 2026 commencing number field sieve (221-digit input)
  331. Tue Jun 23 18:25:27 2026 R0: 3504840648549616177659639796724967627214321
  332. Tue Jun 23 18:25:27 2026 R1: -1
  333. Tue Jun 23 18:25:27 2026 A0: -43268024731
  334. Tue Jun 23 18:25:27 2026 A1: 0
  335. Tue Jun 23 18:25:27 2026 A2: 0
  336. Tue Jun 23 18:25:27 2026 A3: 0
  337. Tue Jun 23 18:25:27 2026 A4: 0
  338. Tue Jun 23 18:25:27 2026 A5: 0
  339. Tue Jun 23 18:25:27 2026 A6: 1
  340. Tue Jun 23 18:25:27 2026 skew 75.94, size 2.570e-13, alpha -1.523, combined = 4.599e-14 rroots = 2
  341. Tue Jun 23 18:25:27 2026
  342. Tue Jun 23 18:25:27 2026 commencing linear algebra
  343. Tue Jun 23 18:25:27 2026 using VBITS=256
  344. Tue Jun 23 18:25:27 2026 skipping matrix build
  345. Tue Jun 23 18:25:42 2026 matrix starts at (0, 0)
  346. Tue Jun 23 18:25:45 2026 matrix is 21011985 x 21012156 (8495.3 MB) with weight 2519876822 (119.92/col)
  347. Tue Jun 23 18:25:45 2026 sparse part has weight 1995858896 (94.99/col)
  348. Tue Jun 23 18:25:45 2026 saving the first 240 matrix rows for later
  349. Tue Jun 23 18:25:56 2026 matrix includes 256 packed rows
  350. Tue Jun 23 18:26:03 2026 matrix is 21011745 x 21012156 (7865.6 MB) with weight 1822064774 (86.71/col)
  351. Tue Jun 23 18:26:03 2026 sparse part has weight 1725721099 (82.13/col)
  352. Tue Jun 23 18:26:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  353. Tue Jun 23 18:26:03 2026 selected card has CUDA arch 12.0
  354. Tue Jun 23 18:26:04 2026 computed block_nnz 129178775 (L2 cache 100663296 bytes, average column weight 82.1)
  355. Tue Jun 23 18:26:04 2026 nonzeros per matrix block: 256000000
  356. Tue Jun 23 18:32:05 2026 commencing Lanczos iteration
  357. Tue Jun 23 18:32:07 2026 memory use: 19418.3 MB
  358. Tue Jun 23 18:32:28 2026 linear algebra at 0.1%, ETA 3h36m
  359. Tue Jun 23 18:32:58 2026 checking every 90000 dimensions, checkpointing every 5670000 dimensions
  360. Tue Jun 23 22:20:31 2026 lanczos halted after 82324 iterations (dim = 21011739)
  361. Tue Jun 23 22:22:29 2026 recovered 33 nontrivial dependencies
  362. Tue Jun 23 22:22:30 2026 BLanczosTime: 14223
  363. Tue Jun 23 22:22:30 2026 elapsed time 03:57:03
  364. Tue Jun 23 19:02:29 2026
  365. Tue Jun 23 19:02:29 2026
  366. Tue Jun 23 19:02:29 2026 Msieve v. 1.54 (SVN unknown)
  367. Tue Jun 23 19:02:29 2026 random seeds: 9f1d68fd ff2114f5
  368. Tue Jun 23 19:02:29 2026 Using 8 OpenMP threads
  369. Tue Jun 23 19:02:29 2026 factoring 44183921287634756883451134383953484340795632581439523110858013880658967590718711637362811395405366400443117120355307322458067090776803856191858699053949591896440689269957276639913847406213606079708784452268257616701267973 (221 digits)
  370. Tue Jun 23 19:02:27 2026 no P-1/P+1/ECM available, skipping
  371. Tue Jun 23 19:02:27 2026 commencing number field sieve (221-digit input)
  372. Tue Jun 23 19:02:27 2026 R0: 3504840648549616177659639796724967627214321
  373. Tue Jun 23 19:02:27 2026 R1: -1
  374. Tue Jun 23 19:02:27 2026 A0: -43268024731
  375. Tue Jun 23 19:02:27 2026 A1: 0
  376. Tue Jun 23 19:02:27 2026 A2: 0
  377. Tue Jun 23 19:02:27 2026 A3: 0
  378. Tue Jun 23 19:02:27 2026 A4: 0
  379. Tue Jun 23 19:02:27 2026 A5: 0
  380. Tue Jun 23 19:02:27 2026 A6: 1
  381. Tue Jun 23 19:02:27 2026 skew 75.94, size 2.570e-13, alpha -1.523, combined = 4.599e-14 rroots = 2
  382. Tue Jun 23 19:02:27 2026
  383. Tue Jun 23 19:02:27 2026 commencing square root phase
  384. Tue Jun 23 19:02:27 2026 reading relations for dependency 1
  385. Tue Jun 23 19:02:38 2026 read 10503594 cycles
  386. Tue Jun 23 19:02:59 2026 cycles contain 34644928 unique relations
  387. Tue Jun 23 19:13:39 2026 read 34644928 relations
  388. Tue Jun 23 19:17:09 2026 multiplying 34644928 relations
  389. Tue Jun 23 19:20:52 2026 multiply complete, coefficients have about 1009.52 million bits
  390. Tue Jun 23 19:20:54 2026 initial square root is modulo 1139982013
  391. Tue Jun 23 19:28:13 2026 GCD is N, no factor found
  392. Tue Jun 23 19:28:13 2026 reading relations for dependency 2
  393. Tue Jun 23 19:28:19 2026 read 10501656 cycles
  394. Tue Jun 23 19:28:47 2026 cycles contain 34638248 unique relations
  395. Tue Jun 23 19:33:04 2026 read 34638248 relations
  396. Tue Jun 23 19:37:05 2026 multiplying 34638248 relations
  397. Tue Jun 23 19:41:06 2026 multiply complete, coefficients have about 1009.32 million bits
  398. Tue Jun 23 19:41:05 2026 initial square root is modulo 1135202701
  399. Tue Jun 23 19:48:49 2026 sqrtTime: 2782
  400. Tue Jun 23 19:48:49 2026 p74 factor: 16239432828613897478571316354103965515065739455712830455173721089623414111
  401. Tue Jun 23 19:48:49 2026 p148 factor: 2720779829809243200385960225079707452137656437911057481780168361894296497749475626449881119204266948724586348771288834792518361355222167313118249243
  402. Tue Jun 23 19:48:49 2026 elapsed time 00:46:20
  403.  
Tags: math
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