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kyleaskine
Apr 15th, 2026
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  1. Wed Apr 15 16:01:16 2026
  2. Wed Apr 15 16:01:16 2026
  3. Wed Apr 15 16:01:16 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 15 16:01:16 2026 random seeds: fb402e0c 018fd51f
  5. Wed Apr 15 16:01:16 2026 Using 8 OpenMP threads
  6. Wed Apr 15 16:01:16 2026 factoring 6030851656892558503412377758741919079208214791539809338574056606316207756064054456887714337320383024444255015463949097466660015079498366441356749750710983991188070806191051272980423082443906879339082277924218183021139611 (220 digits)
  7. Wed Apr 15 16:01:16 2026 searching for 15-digit factors
  8. Wed Apr 15 16:01:16 2026 commencing number field sieve (220-digit input)
  9. Wed Apr 15 16:01:16 2026 R0: 85763969893334762150390317332843229231101925764420512683
  10. Wed Apr 15 16:01:16 2026 R1: -1
  11. Wed Apr 15 16:01:16 2026 A0: 1
  12. Wed Apr 15 16:01:16 2026 A1: 1
  13. Wed Apr 15 16:01:16 2026 A2: 1
  14. Wed Apr 15 16:01:16 2026 A3: 1
  15. Wed Apr 15 16:01:16 2026 A4: 1
  16. Wed Apr 15 16:01:16 2026 skew 1.96, size 8.663e-23, alpha 1.694, combined = 1.410e-13 rroots = 0
  17. Wed Apr 15 16:01:16 2026
  18. Wed Apr 15 16:01:16 2026 commencing relation filtering
  19. Wed Apr 15 16:01:16 2026 target densities: 80 100 120
  20. Wed Apr 15 16:01:16 2026 estimated available RAM is 78540.1 MB
  21. Wed Apr 15 16:01:16 2026 commencing duplicate removal, pass 1
  22. Wed Apr 15 16:05:34 2026 error -1 reading relation 116953331
  23. Wed Apr 15 16:06:02 2026 error -1 reading relation 130698572
  24. Wed Apr 15 16:06:34 2026 error -1 reading relation 144572176
  25. Wed Apr 15 16:08:04 2026 error -1 reading relation 184025592
  26. Wed Apr 15 16:09:14 2026 error -1 reading relation 215179532
  27. Wed Apr 15 16:09:27 2026 error -1 reading relation 221318455
  28. Wed Apr 15 16:09:31 2026 error -1 reading relation 222938856
  29. Wed Apr 15 16:09:33 2026 error -5 reading relation 223728459
  30. Wed Apr 15 16:09:49 2026 error -1 reading relation 230969531
  31. Wed Apr 15 16:09:51 2026 error -1 reading relation 231956197
  32. Wed Apr 15 16:09:51 2026 error -1 reading relation 232004504
  33. Wed Apr 15 16:12:57 2026 error -1 reading relation 319432656
  34. Wed Apr 15 16:13:21 2026 error -1 reading relation 331561301
  35. Wed Apr 15 16:13:44 2026 skipped 1414 relations with b > 2^32
  36. Wed Apr 15 16:13:44 2026 skipped 1 relations with composite factors
  37. Wed Apr 15 16:13:44 2026 skipped 93 malformed relations
  38. Wed Apr 15 16:13:44 2026 found 48034518 hash collisions in 342466649 relations
  39. Wed Apr 15 16:13:48 2026 added 3657741 free relations
  40. Wed Apr 15 16:13:48 2026 commencing duplicate removal, pass 2
  41. Wed Apr 15 16:16:15 2026 found 43716058 duplicates and 302408332 unique relations
  42. Wed Apr 15 16:16:15 2026 memory use: 1705.5 MB
  43. Wed Apr 15 16:16:15 2026 reading ideals above 720000
  44. Wed Apr 15 16:16:15 2026 commencing singleton removal, initial pass
  45. Wed Apr 15 16:35:49 2026 memory use: 6024.0 MB
  46. Wed Apr 15 16:35:50 2026 reading all ideals from disk
  47. Wed Apr 15 16:36:18 2026 memory use: 14397.2 MB
  48. Wed Apr 15 16:36:35 2026 keeping 256708790 ideals with weight <= 200, target excess is 1549778
  49. Wed Apr 15 16:36:58 2026 commencing in-memory singleton removal
  50. Wed Apr 15 16:37:01 2026 begin with 302408332 relations and 256708790 unique ideals
  51. Wed Apr 15 16:37:26 2026 reduce to 210077286 relations and 156240043 ideals in 13 passes
  52. Wed Apr 15 16:37:26 2026 max relations containing the same ideal: 165
  53. Wed Apr 15 16:38:14 2026 removing 10692813 relations and 8692813 ideals in 2000000 cliques
  54. Wed Apr 15 16:38:17 2026 commencing in-memory singleton removal
  55. Wed Apr 15 16:38:20 2026 begin with 199384473 relations and 156240043 unique ideals
  56. Wed Apr 15 16:38:33 2026 reduce to 198956489 relations and 147113693 ideals in 9 passes
  57. Wed Apr 15 16:38:33 2026 max relations containing the same ideal: 162
  58. Wed Apr 15 16:39:17 2026 removing 8162753 relations and 6162753 ideals in 2000000 cliques
  59. Wed Apr 15 16:39:20 2026 commencing in-memory singleton removal
  60. Wed Apr 15 16:39:22 2026 begin with 190793736 relations and 147113693 unique ideals
  61. Wed Apr 15 16:39:32 2026 reduce to 190509075 relations and 140663143 ideals in 7 passes
  62. Wed Apr 15 16:39:32 2026 max relations containing the same ideal: 156
  63. Wed Apr 15 16:40:13 2026 removing 7397589 relations and 5397589 ideals in 2000000 cliques
  64. Wed Apr 15 16:40:16 2026 commencing in-memory singleton removal
  65. Wed Apr 15 16:40:18 2026 begin with 183111486 relations and 140663143 unique ideals
  66. Wed Apr 15 16:40:26 2026 reduce to 182867369 relations and 135018730 ideals in 6 passes
  67. Wed Apr 15 16:40:26 2026 max relations containing the same ideal: 154
  68. Wed Apr 15 16:41:07 2026 removing 6986880 relations and 4986880 ideals in 2000000 cliques
  69. Wed Apr 15 16:41:09 2026 commencing in-memory singleton removal
  70. Wed Apr 15 16:41:11 2026 begin with 175880489 relations and 135018730 unique ideals
  71. Wed Apr 15 16:41:19 2026 reduce to 175655743 relations and 129804606 ideals in 6 passes
  72. Wed Apr 15 16:41:19 2026 max relations containing the same ideal: 151
  73. Wed Apr 15 16:41:59 2026 removing 6717978 relations and 4717978 ideals in 2000000 cliques
  74. Wed Apr 15 16:42:01 2026 commencing in-memory singleton removal
  75. Wed Apr 15 16:42:03 2026 begin with 168937765 relations and 129804606 unique ideals
  76. Wed Apr 15 16:42:14 2026 reduce to 168724572 relations and 124871062 ideals in 9 passes
  77. Wed Apr 15 16:42:14 2026 max relations containing the same ideal: 149
  78. Wed Apr 15 16:42:54 2026 removing 6531379 relations and 4531379 ideals in 2000000 cliques
  79. Wed Apr 15 16:42:56 2026 commencing in-memory singleton removal
  80. Wed Apr 15 16:42:58 2026 begin with 162193193 relations and 124871062 unique ideals
  81. Wed Apr 15 16:43:07 2026 reduce to 161986819 relations and 120130915 ideals in 7 passes
  82. Wed Apr 15 16:43:07 2026 max relations containing the same ideal: 141
  83. Wed Apr 15 16:43:45 2026 removing 6388743 relations and 4388743 ideals in 2000000 cliques
  84. Wed Apr 15 16:43:48 2026 commencing in-memory singleton removal
  85. Wed Apr 15 16:43:50 2026 begin with 155598076 relations and 120130915 unique ideals
  86. Wed Apr 15 16:43:57 2026 reduce to 155396943 relations and 115538609 ideals in 6 passes
  87. Wed Apr 15 16:43:57 2026 max relations containing the same ideal: 138
  88. Wed Apr 15 16:44:42 2026 removing 6282554 relations and 4282554 ideals in 2000000 cliques
  89. Wed Apr 15 16:44:45 2026 commencing in-memory singleton removal
  90. Wed Apr 15 16:44:47 2026 begin with 149114389 relations and 115538609 unique ideals
  91. Wed Apr 15 16:44:58 2026 reduce to 148915254 relations and 111054380 ideals in 6 passes
  92. Wed Apr 15 16:44:58 2026 max relations containing the same ideal: 133
  93. Wed Apr 15 16:45:41 2026 removing 6193790 relations and 4193790 ideals in 2000000 cliques
  94. Wed Apr 15 16:45:44 2026 commencing in-memory singleton removal
  95. Wed Apr 15 16:45:45 2026 begin with 142721464 relations and 111054380 unique ideals
  96. Wed Apr 15 16:45:56 2026 reduce to 142521325 relations and 106657874 ideals in 6 passes
  97. Wed Apr 15 16:45:56 2026 max relations containing the same ideal: 128
  98. Wed Apr 15 16:46:38 2026 removing 6124390 relations and 4124390 ideals in 2000000 cliques
  99. Wed Apr 15 16:46:40 2026 commencing in-memory singleton removal
  100. Wed Apr 15 16:46:42 2026 begin with 136396935 relations and 106657874 unique ideals
  101. Wed Apr 15 16:46:52 2026 reduce to 136196483 relations and 102330239 ideals in 6 passes
  102. Wed Apr 15 16:46:52 2026 max relations containing the same ideal: 124
  103. Wed Apr 15 16:47:31 2026 removing 6067417 relations and 4067417 ideals in 2000000 cliques
  104. Wed Apr 15 16:47:34 2026 commencing in-memory singleton removal
  105. Wed Apr 15 16:47:35 2026 begin with 130129066 relations and 102330239 unique ideals
  106. Wed Apr 15 16:47:44 2026 reduce to 129927081 relations and 98057819 ideals in 6 passes
  107. Wed Apr 15 16:47:44 2026 max relations containing the same ideal: 121
  108. Wed Apr 15 16:48:24 2026 removing 6021096 relations and 4021096 ideals in 2000000 cliques
  109. Wed Apr 15 16:48:26 2026 commencing in-memory singleton removal
  110. Wed Apr 15 16:48:28 2026 begin with 123905985 relations and 98057819 unique ideals
  111. Wed Apr 15 16:48:37 2026 reduce to 123698710 relations and 93826209 ideals in 6 passes
  112. Wed Apr 15 16:48:37 2026 max relations containing the same ideal: 117
  113. Wed Apr 15 16:49:15 2026 removing 5989753 relations and 3989753 ideals in 2000000 cliques
  114. Wed Apr 15 16:49:18 2026 commencing in-memory singleton removal
  115. Wed Apr 15 16:49:19 2026 begin with 117708957 relations and 93826209 unique ideals
  116. Wed Apr 15 16:49:27 2026 reduce to 117496078 relations and 89620235 ideals in 6 passes
  117. Wed Apr 15 16:49:27 2026 max relations containing the same ideal: 114
  118. Wed Apr 15 16:50:02 2026 removing 5966994 relations and 3966994 ideals in 2000000 cliques
  119. Wed Apr 15 16:50:04 2026 commencing in-memory singleton removal
  120. Wed Apr 15 16:50:05 2026 begin with 111529084 relations and 89620235 unique ideals
  121. Wed Apr 15 16:50:15 2026 reduce to 111308788 relations and 85429234 ideals in 7 passes
  122. Wed Apr 15 16:50:15 2026 max relations containing the same ideal: 111
  123. Wed Apr 15 16:50:51 2026 removing 5948445 relations and 3948445 ideals in 2000000 cliques
  124. Wed Apr 15 16:50:53 2026 commencing in-memory singleton removal
  125. Wed Apr 15 16:50:54 2026 begin with 105360343 relations and 85429234 unique ideals
  126. Wed Apr 15 16:51:02 2026 reduce to 105130195 relations and 81246673 ideals in 6 passes
  127. Wed Apr 15 16:51:02 2026 max relations containing the same ideal: 108
  128. Wed Apr 15 16:51:34 2026 removing 5939868 relations and 3939868 ideals in 2000000 cliques
  129. Wed Apr 15 16:51:36 2026 commencing in-memory singleton removal
  130. Wed Apr 15 16:51:37 2026 begin with 99190327 relations and 81246673 unique ideals
  131. Wed Apr 15 16:51:44 2026 reduce to 98949193 relations and 77061247 ideals in 6 passes
  132. Wed Apr 15 16:51:44 2026 max relations containing the same ideal: 103
  133. Wed Apr 15 16:52:15 2026 removing 5941894 relations and 3941894 ideals in 2000000 cliques
  134. Wed Apr 15 16:52:17 2026 commencing in-memory singleton removal
  135. Wed Apr 15 16:52:18 2026 begin with 93007299 relations and 77061247 unique ideals
  136. Wed Apr 15 16:52:26 2026 reduce to 92751919 relations and 72859065 ideals in 7 passes
  137. Wed Apr 15 16:52:26 2026 max relations containing the same ideal: 99
  138. Wed Apr 15 16:52:54 2026 removing 5951658 relations and 3951658 ideals in 2000000 cliques
  139. Wed Apr 15 16:52:56 2026 commencing in-memory singleton removal
  140. Wed Apr 15 16:52:57 2026 begin with 86800261 relations and 72859065 unique ideals
  141. Wed Apr 15 16:53:04 2026 reduce to 86528143 relations and 68629619 ideals in 7 passes
  142. Wed Apr 15 16:53:04 2026 max relations containing the same ideal: 90
  143. Wed Apr 15 16:53:29 2026 removing 5976572 relations and 3976572 ideals in 2000000 cliques
  144. Wed Apr 15 16:53:31 2026 commencing in-memory singleton removal
  145. Wed Apr 15 16:53:32 2026 begin with 80551571 relations and 68629619 unique ideals
  146. Wed Apr 15 16:53:37 2026 reduce to 80257940 relations and 64353033 ideals in 6 passes
  147. Wed Apr 15 16:53:37 2026 max relations containing the same ideal: 88
  148. Wed Apr 15 16:53:59 2026 removing 6007412 relations and 4007412 ideals in 2000000 cliques
  149. Wed Apr 15 16:54:00 2026 commencing in-memory singleton removal
  150. Wed Apr 15 16:54:01 2026 begin with 74250528 relations and 64353033 unique ideals
  151. Wed Apr 15 16:54:04 2026 reduce to 73928985 relations and 60016548 ideals in 7 passes
  152. Wed Apr 15 16:54:04 2026 max relations containing the same ideal: 82
  153. Wed Apr 15 16:54:24 2026 removing 6056029 relations and 4056029 ideals in 2000000 cliques
  154. Wed Apr 15 16:54:26 2026 commencing in-memory singleton removal
  155. Wed Apr 15 16:54:26 2026 begin with 67872956 relations and 60016548 unique ideals
  156. Wed Apr 15 16:54:30 2026 reduce to 67515277 relations and 55594076 ideals in 7 passes
  157. Wed Apr 15 16:54:30 2026 max relations containing the same ideal: 81
  158. Wed Apr 15 16:54:50 2026 removing 6120045 relations and 4120045 ideals in 2000000 cliques
  159. Wed Apr 15 16:54:51 2026 commencing in-memory singleton removal
  160. Wed Apr 15 16:54:52 2026 begin with 61395232 relations and 55594076 unique ideals
  161. Wed Apr 15 16:54:57 2026 reduce to 60994143 relations and 51062213 ideals in 7 passes
  162. Wed Apr 15 16:54:57 2026 max relations containing the same ideal: 77
  163. Wed Apr 15 16:55:16 2026 removing 6212154 relations and 4212154 ideals in 2000000 cliques
  164. Wed Apr 15 16:55:17 2026 commencing in-memory singleton removal
  165. Wed Apr 15 16:55:18 2026 begin with 54781989 relations and 51062213 unique ideals
  166. Wed Apr 15 16:55:23 2026 reduce to 54319647 relations and 46374491 ideals in 8 passes
  167. Wed Apr 15 16:55:23 2026 max relations containing the same ideal: 66
  168. Wed Apr 15 16:55:40 2026 removing 6329991 relations and 4329991 ideals in 2000000 cliques
  169. Wed Apr 15 16:55:42 2026 commencing in-memory singleton removal
  170. Wed Apr 15 16:55:42 2026 begin with 47989656 relations and 46374491 unique ideals
  171. Wed Apr 15 16:55:46 2026 reduce to 47443627 relations and 41480739 ideals in 8 passes
  172. Wed Apr 15 16:55:46 2026 max relations containing the same ideal: 62
  173. Wed Apr 15 16:56:01 2026 removing 6483723 relations and 4483723 ideals in 2000000 cliques
  174. Wed Apr 15 16:56:02 2026 commencing in-memory singleton removal
  175. Wed Apr 15 16:56:03 2026 begin with 40959904 relations and 41480739 unique ideals
  176. Wed Apr 15 16:56:06 2026 reduce to 40291456 relations and 36304222 ideals in 8 passes
  177. Wed Apr 15 16:56:06 2026 max relations containing the same ideal: 57
  178. Wed Apr 15 16:56:19 2026 removing 6679700 relations and 4679700 ideals in 2000000 cliques
  179. Wed Apr 15 16:56:21 2026 commencing in-memory singleton removal
  180. Wed Apr 15 16:56:21 2026 begin with 33611756 relations and 36304222 unique ideals
  181. Wed Apr 15 16:56:24 2026 reduce to 32753324 relations and 30729576 ideals in 9 passes
  182. Wed Apr 15 16:56:24 2026 max relations containing the same ideal: 50
  183. Wed Apr 15 16:56:34 2026 removing 1216250 relations and 990245 ideals in 226005 cliques
  184. Wed Apr 15 16:56:35 2026 commencing in-memory singleton removal
  185. Wed Apr 15 16:56:35 2026 begin with 31537074 relations and 30729576 unique ideals
  186. Wed Apr 15 16:56:37 2026 reduce to 31503483 relations and 29705517 ideals in 6 passes
  187. Wed Apr 15 16:56:37 2026 max relations containing the same ideal: 49
  188. Wed Apr 15 16:56:50 2026 relations with 0 large ideals: 123258
  189. Wed Apr 15 16:56:50 2026 relations with 1 large ideals: 51077
  190. Wed Apr 15 16:56:50 2026 relations with 2 large ideals: 544928
  191. Wed Apr 15 16:56:50 2026 relations with 3 large ideals: 2555522
  192. Wed Apr 15 16:56:50 2026 relations with 4 large ideals: 6337402
  193. Wed Apr 15 16:56:50 2026 relations with 5 large ideals: 9745458
  194. Wed Apr 15 16:56:50 2026 relations with 6 large ideals: 7217342
  195. Wed Apr 15 16:56:50 2026 relations with 7+ large ideals: 4928496
  196. Wed Apr 15 16:56:50 2026 commencing 2-way merge
  197. Wed Apr 15 16:57:03 2026 reduce to 19728697 relation sets and 17930731 unique ideals
  198. Wed Apr 15 16:57:05 2026
  199. Wed Apr 15 16:57:05 2026 trying target density 80
  200. Wed Apr 15 16:57:05 2026 commencing full merge
  201. Wed Apr 15 17:00:32 2026 memory use: 2172.2 MB
  202. Wed Apr 15 17:00:34 2026 found 10058792 cycles, need 9814931
  203. Wed Apr 15 17:00:36 2026 weight of 9814931 cycles is about 785216362 (80.00/cycle)
  204. Wed Apr 15 17:00:36 2026 distribution of cycle lengths:
  205. Wed Apr 15 17:00:36 2026 1 relations: 1056443
  206. Wed Apr 15 17:00:36 2026 2 relations: 933406
  207. Wed Apr 15 17:00:36 2026 3 relations: 906287
  208. Wed Apr 15 17:00:36 2026 4 relations: 913705
  209. Wed Apr 15 17:00:36 2026 5 relations: 898371
  210. Wed Apr 15 17:00:36 2026 6 relations: 863631
  211. Wed Apr 15 17:00:36 2026 7 relations: 803266
  212. Wed Apr 15 17:00:36 2026 8 relations: 718498
  213. Wed Apr 15 17:00:36 2026 9 relations: 622131
  214. Wed Apr 15 17:00:36 2026 10+ relations: 2099193
  215. Wed Apr 15 17:00:36 2026 heaviest cycle: 23 relations
  216. Wed Apr 15 17:00:38 2026 target density 80 succeeded, avg weight 80.00
  217. Wed Apr 15 17:00:38 2026 commencing cycle optimization
  218. Wed Apr 15 17:00:51 2026 start with 61642680 relations
  219. Wed Apr 15 17:02:01 2026 pruned 1998609 relations
  220. Wed Apr 15 17:02:01 2026 memory use: 1902.5 MB
  221. Wed Apr 15 17:02:01 2026 distribution of cycle lengths:
  222. Wed Apr 15 17:02:01 2026 1 relations: 1056443
  223. Wed Apr 15 17:02:01 2026 2 relations: 950585
  224. Wed Apr 15 17:02:01 2026 3 relations: 938662
  225. Wed Apr 15 17:02:01 2026 4 relations: 945460
  226. Wed Apr 15 17:02:01 2026 5 relations: 937373
  227. Wed Apr 15 17:02:01 2026 6 relations: 897480
  228. Wed Apr 15 17:02:01 2026 7 relations: 834042
  229. Wed Apr 15 17:02:01 2026 8 relations: 737206
  230. Wed Apr 15 17:02:01 2026 9 relations: 632567
  231. Wed Apr 15 17:02:01 2026 10+ relations: 1885113
  232. Wed Apr 15 17:02:01 2026 heaviest cycle: 23 relations
  233. Wed Apr 15 17:02:14 2026
  234. Wed Apr 15 17:02:14 2026 trying target density 100
  235. Wed Apr 15 17:02:14 2026 commencing full merge
  236. Wed Apr 15 17:06:29 2026 memory use: 2242.5 MB
  237. Wed Apr 15 17:06:31 2026 found 9332273 cycles, need 9120931
  238. Wed Apr 15 17:06:33 2026 weight of 9120931 cycles is about 912483309 (100.04/cycle)
  239. Wed Apr 15 17:06:33 2026 distribution of cycle lengths:
  240. Wed Apr 15 17:06:33 2026 1 relations: 744255
  241. Wed Apr 15 17:06:33 2026 2 relations: 674792
  242. Wed Apr 15 17:06:33 2026 3 relations: 676834
  243. Wed Apr 15 17:06:33 2026 4 relations: 681914
  244. Wed Apr 15 17:06:33 2026 5 relations: 683550
  245. Wed Apr 15 17:06:33 2026 6 relations: 680129
  246. Wed Apr 15 17:06:33 2026 7 relations: 662962
  247. Wed Apr 15 17:06:33 2026 8 relations: 630131
  248. Wed Apr 15 17:06:33 2026 9 relations: 586835
  249. Wed Apr 15 17:06:33 2026 10+ relations: 3099529
  250. Wed Apr 15 17:06:33 2026 heaviest cycle: 27 relations
  251. Wed Apr 15 17:06:35 2026 target density 100 succeeded, avg weight 100.04
  252. Wed Apr 15 17:06:35 2026 commencing cycle optimization
  253. Wed Apr 15 17:06:48 2026 start with 71296547 relations
  254. Wed Apr 15 17:08:34 2026 pruned 2948412 relations
  255. Wed Apr 15 17:08:34 2026 memory use: 2002.5 MB
  256. Wed Apr 15 17:08:34 2026 distribution of cycle lengths:
  257. Wed Apr 15 17:08:34 2026 1 relations: 744255
  258. Wed Apr 15 17:08:35 2026 2 relations: 687768
  259. Wed Apr 15 17:08:35 2026 3 relations: 701997
  260. Wed Apr 15 17:08:35 2026 4 relations: 707845
  261. Wed Apr 15 17:08:35 2026 5 relations: 717418
  262. Wed Apr 15 17:08:35 2026 6 relations: 713915
  263. Wed Apr 15 17:08:35 2026 7 relations: 698108
  264. Wed Apr 15 17:08:35 2026 8 relations: 660209
  265. Wed Apr 15 17:08:35 2026 9 relations: 613432
  266. Wed Apr 15 17:08:35 2026 10+ relations: 2875984
  267. Wed Apr 15 17:08:35 2026 heaviest cycle: 27 relations
  268. Wed Apr 15 17:08:49 2026
  269. Wed Apr 15 17:08:49 2026 trying target density 120
  270. Wed Apr 15 17:08:49 2026 commencing full merge
  271. Wed Apr 15 17:13:51 2026 memory use: 2274.9 MB
  272. Wed Apr 15 17:13:52 2026 found 8748029 cycles, need 8632931
  273. Wed Apr 15 17:13:54 2026 weight of 8632931 cycles is about 1036294656 (120.04/cycle)
  274. Wed Apr 15 17:13:55 2026 distribution of cycle lengths:
  275. Wed Apr 15 17:13:55 2026 1 relations: 530960
  276. Wed Apr 15 17:13:55 2026 2 relations: 513288
  277. Wed Apr 15 17:13:55 2026 3 relations: 534841
  278. Wed Apr 15 17:13:55 2026 4 relations: 544356
  279. Wed Apr 15 17:13:55 2026 5 relations: 549467
  280. Wed Apr 15 17:13:55 2026 6 relations: 552418
  281. Wed Apr 15 17:13:55 2026 7 relations: 551377
  282. Wed Apr 15 17:13:55 2026 8 relations: 541768
  283. Wed Apr 15 17:13:55 2026 9 relations: 519510
  284. Wed Apr 15 17:13:55 2026 10+ relations: 3794946
  285. Wed Apr 15 17:13:55 2026 heaviest cycle: 28 relations
  286. Wed Apr 15 17:13:56 2026 target density 120 succeeded, avg weight 120.04
  287. Wed Apr 15 17:13:56 2026 commencing cycle optimization
  288. Wed Apr 15 17:14:12 2026 start with 80550115 relations
  289. Wed Apr 15 17:16:40 2026 pruned 3944848 relations
  290. Wed Apr 15 17:16:40 2026 memory use: 2096.7 MB
  291. Wed Apr 15 17:16:40 2026 distribution of cycle lengths:
  292. Wed Apr 15 17:16:40 2026 1 relations: 530960
  293. Wed Apr 15 17:16:40 2026 2 relations: 523535
  294. Wed Apr 15 17:16:40 2026 3 relations: 555430
  295. Wed Apr 15 17:16:40 2026 4 relations: 566207
  296. Wed Apr 15 17:16:40 2026 5 relations: 578310
  297. Wed Apr 15 17:16:40 2026 6 relations: 582473
  298. Wed Apr 15 17:16:40 2026 7 relations: 585362
  299. Wed Apr 15 17:16:40 2026 8 relations: 573329
  300. Wed Apr 15 17:16:40 2026 9 relations: 551061
  301. Wed Apr 15 17:16:40 2026 10+ relations: 3586264
  302. Wed Apr 15 17:16:40 2026 heaviest cycle: 28 relations
  303. Wed Apr 15 17:16:52 2026 RelProcTime: 4536
  304. Wed Apr 15 17:16:52 2026
  305. Wed Apr 15 17:16:52 2026 commencing linear algebra
  306. Wed Apr 15 17:16:52 2026 using VBITS=256
  307. Wed Apr 15 17:16:52 2026 building matrices for all .cyc.## files
  308. Wed Apr 15 17:16:52 2026
  309. Wed Apr 15 17:16:52 2026 building matrix for density 100
  310. Wed Apr 15 17:16:53 2026 read 9120931 cycles
  311. Wed Apr 15 17:17:04 2026 cycles contain 30517300 unique relations
  312. Wed Apr 15 17:21:28 2026 read 30517300 relations
  313. Wed Apr 15 17:21:37 2026 using 20 quadratic characters above 4294917295
  314. Wed Apr 15 17:21:49 2026 building initial matrix
  315. Wed Apr 15 17:25:50 2026 memory use: 3737.5 MB
  316. Wed Apr 15 17:25:52 2026 read 9120931 cycles
  317. Wed Apr 15 17:25:54 2026 matrix is 9120749 x 9120931 (3671.8 MB) with weight 1054482206 (115.61/col)
  318. Wed Apr 15 17:25:54 2026 sparse part has weight 862215557 (94.53/col)
  319. Wed Apr 15 17:26:55 2026 filtering completed in 2 passes
  320. Wed Apr 15 17:26:57 2026 matrix is 9118996 x 9119160 (3671.6 MB) with weight 1054410305 (115.63/col)
  321. Wed Apr 15 17:26:57 2026 sparse part has weight 862181167 (94.55/col)
  322. Wed Apr 15 17:27:10 2026
  323. Wed Apr 15 17:27:10 2026 building matrix for density 120
  324. Wed Apr 15 17:27:11 2026 read 8632931 cycles
  325. Wed Apr 15 17:27:23 2026 cycles contain 30518469 unique relations
  326. Wed Apr 15 17:28:51 2026 read 30518469 relations
  327. Wed Apr 15 17:29:01 2026 using 20 quadratic characters above 4294917295
  328. Wed Apr 15 17:29:16 2026 building initial matrix
  329. Wed Apr 15 17:33:55 2026 memory use: 3754.3 MB
  330. Wed Apr 15 17:33:58 2026 read 8632931 cycles
  331. Wed Apr 15 17:33:59 2026 matrix is 8632754 x 8632931 (4047.5 MB) with weight 1156708957 (133.99/col)
  332. Wed Apr 15 17:33:59 2026 sparse part has weight 966069382 (111.91/col)
  333. Wed Apr 15 17:35:13 2026 filtering completed in 2 passes
  334. Wed Apr 15 17:35:15 2026 matrix is 8632154 x 8632313 (4047.4 MB) with weight 1156682731 (133.99/col)
  335. Wed Apr 15 17:35:15 2026 sparse part has weight 966056997 (111.91/col)
  336. Wed Apr 15 17:35:30 2026
  337. Wed Apr 15 17:35:30 2026 building matrix for density 80
  338. Wed Apr 15 17:35:32 2026 read 9814931 cycles
  339. Wed Apr 15 17:35:44 2026 cycles contain 30500169 unique relations
  340. Wed Apr 15 17:36:30 2026 read 30500169 relations
  341. Wed Apr 15 17:36:37 2026 using 20 quadratic characters above 4294917295
  342. Wed Apr 15 17:36:51 2026 building initial matrix
  343. Wed Apr 15 17:40:20 2026 memory use: 3723.6 MB
  344. Wed Apr 15 17:40:22 2026 read 9814931 cycles
  345. Wed Apr 15 17:40:23 2026 matrix is 9814750 x 9814931 (3287.0 MB) with weight 949036001 (96.69/col)
  346. Wed Apr 15 17:40:23 2026 sparse part has weight 753703294 (76.79/col)
  347. Wed Apr 15 17:41:47 2026 filtering completed in 2 passes
  348. Wed Apr 15 17:41:49 2026 matrix is 9811036 x 9811199 (3286.6 MB) with weight 948911261 (96.72/col)
  349. Wed Apr 15 17:41:49 2026 sparse part has weight 753650586 (76.82/col)
  350. Wed Apr 15 17:42:09 2026 BLanczosTime: 1517
  351. Wed Apr 15 17:42:09 2026 elapsed time 01:40:53
  352. Wed Apr 15 17:46:22 2026
  353. Wed Apr 15 17:46:22 2026
  354. Wed Apr 15 17:46:22 2026 Msieve v. 1.54 (SVN Unversioned directory)
  355. Wed Apr 15 17:46:22 2026 random seeds: ea65d537 8d57adf8
  356. Wed Apr 15 17:46:22 2026 Using 8 OpenMP threads
  357. Wed Apr 15 17:46:22 2026 factoring 6030851656892558503412377758741919079208214791539809338574056606316207756064054456887714337320383024444255015463949097466660015079498366441356749750710983991188070806191051272980423082443906879339082277924218183021139611 (220 digits)
  358. Wed Apr 15 17:46:23 2026 searching for 15-digit factors
  359. Wed Apr 15 17:46:23 2026 commencing number field sieve (220-digit input)
  360. Wed Apr 15 17:46:23 2026 R0: 85763969893334762150390317332843229231101925764420512683
  361. Wed Apr 15 17:46:23 2026 R1: -1
  362. Wed Apr 15 17:46:23 2026 A0: 1
  363. Wed Apr 15 17:46:23 2026 A1: 1
  364. Wed Apr 15 17:46:23 2026 A2: 1
  365. Wed Apr 15 17:46:23 2026 A3: 1
  366. Wed Apr 15 17:46:23 2026 A4: 1
  367. Wed Apr 15 17:46:23 2026 skew 1.96, size 8.663e-23, alpha 1.694, combined = 1.410e-13 rroots = 0
  368. Wed Apr 15 17:46:23 2026
  369. Wed Apr 15 17:46:23 2026 commencing linear algebra
  370. Wed Apr 15 17:46:23 2026 using VBITS=256
  371. Wed Apr 15 17:46:23 2026 selected density 120 for linear algebra
  372. Wed Apr 15 17:46:27 2026 matrix starts at (0, 0)
  373. Wed Apr 15 17:46:28 2026 matrix is 8632154 x 8632313 (4047.4 MB) with weight 1156682731 (133.99/col)
  374. Wed Apr 15 17:46:28 2026 sparse part has weight 966056997 (111.91/col)
  375. Wed Apr 15 17:46:28 2026 saving the first 240 matrix rows for later
  376. Wed Apr 15 17:46:29 2026 matrix includes 256 packed rows
  377. Wed Apr 15 17:46:31 2026 matrix is 8631914 x 8632313 (3713.9 MB) with weight 880775046 (102.03/col)
  378. Wed Apr 15 17:46:31 2026 sparse part has weight 835447133 (96.78/col)
  379. Wed Apr 15 17:46:31 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  380. Wed Apr 15 17:46:31 2026 selected card has CUDA arch 12.0
  381. Wed Apr 15 17:47:27 2026 commencing Lanczos iteration
  382. Wed Apr 15 17:47:30 2026 memory use: 8547.3 MB
  383. Wed Apr 15 17:47:57 2026 linear algebra at 0.4%, ETA 2h 6m
  384. Wed Apr 15 17:48:37 2026 checking every 60000 dimensions, checkpointing every 4140000 dimensions
  385. Wed Apr 15 19:52:23 2026 lanczos halted after 33821 iterations (dim = 8631914)
  386. Wed Apr 15 19:52:50 2026 recovered 37 nontrivial dependencies
  387. Wed Apr 15 19:52:51 2026 BLanczosTime: 7588
  388. Wed Apr 15 19:52:51 2026
  389. Wed Apr 15 19:52:51 2026 commencing square root phase
  390. Wed Apr 15 19:52:51 2026 handling dependencies 1 to 64
  391. Wed Apr 15 19:52:51 2026 reading relations for dependency 1
  392. Wed Apr 15 19:52:53 2026 read 4315753 cycles
  393. Wed Apr 15 19:52:59 2026 cycles contain 15258676 unique relations
  394. Wed Apr 15 19:57:05 2026 read 15258676 relations
  395. Wed Apr 15 19:57:41 2026 multiplying 15258676 relations
  396. Wed Apr 15 19:58:04 2026 multiply complete, coefficients have about 401.47 million bits
  397. Wed Apr 15 19:58:05 2026 initial square root is modulo 15985507
  398. Wed Apr 15 19:58:59 2026 sqrtTime: 368
  399. Wed Apr 15 19:58:59 2026 p73 factor: 4232064607693267281677917603314816891109430135154151264264114739791001371
  400. Wed Apr 15 19:58:59 2026 p148 factor: 1425037709946431941120243413691773891261403050373137109590397164723828760420093897946549571921591949062340470133418375801084195149301606274763085441
  401. Wed Apr 15 19:58:59 2026 elapsed time 02:12:37
  402.  
Tags: math
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