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kyleaskine
Sep 1st, 2026
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  1. Tue Sep 1 08:30:13 2026
  2. Tue Sep 1 08:30:13 2026
  3. Tue Sep 1 08:30:13 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Sep 1 08:30:13 2026 random seeds: 54f0d7ca 9d08a0a0
  5. Tue Sep 1 08:30:13 2026 Using 8 OpenMP threads
  6. Tue Sep 1 08:30:13 2026 factoring 11605452945608199231344796161567229305292085061450143781445930077954172365440020473913717420934103705919239786366070271806642483225680272963347894813193015546634565914127679867464481 (182 digits)
  7. Tue Sep 1 08:30:14 2026 no P-1/P+1/ECM available, skipping
  8. Tue Sep 1 08:30:14 2026 commencing number field sieve (182-digit input)
  9. Tue Sep 1 08:30:14 2026 R0: -169414057229675961672536643570155741
  10. Tue Sep 1 08:30:14 2026 R1: 13726752475856060233619
  11. Tue Sep 1 08:30:14 2026 A0: 6091903915590826195697545497326074407862080
  12. Tue Sep 1 08:30:14 2026 A1: 1230866303055794312348549078670428398
  13. Tue Sep 1 08:30:14 2026 A2: -2880557863536577741004713849
  14. Tue Sep 1 08:30:14 2026 A3: -1025256278445925208381
  15. Tue Sep 1 08:30:14 2026 A4: 1880178634464
  16. Tue Sep 1 08:30:14 2026 A5: 166320
  17. Tue Sep 1 08:30:14 2026 skew 50477468.11, size 1.696e-17, alpha -6.962, combined = 1.013e-13 rroots = 5
  18. Tue Sep 1 08:30:14 2026
  19. Tue Sep 1 08:30:14 2026 commencing relation filtering
  20. Tue Sep 1 08:30:14 2026 setting 3 target densities:Tue Sep 1 08:30:14 2026 90Tue Sep 1 08:30:14 2026 110Tue Sep 1 08:30:14 2026 130Tue Sep 1 08:30:14 2026
  21. Tue Sep 1 08:30:14 2026 estimated available RAM is 78540.1 MB
  22. Tue Sep 1 08:30:14 2026 commencing duplicate removal, pass 1
  23. Tue Sep 1 08:30:51 2026 error -1 reading relation 13004651
  24. Tue Sep 1 08:31:31 2026 error -1 reading relation 27200465
  25. Tue Sep 1 08:31:31 2026 error -1 reading relation 27297110
  26. Tue Sep 1 08:32:05 2026 error -1 reading relation 38533453
  27. Tue Sep 1 08:32:09 2026 error -1 reading relation 39824597
  28. Tue Sep 1 08:32:13 2026 error -1 reading relation 42273184
  29. Tue Sep 1 08:32:14 2026 error -1 reading relation 42380900
  30. Tue Sep 1 08:32:18 2026 error -1 reading relation 43936077
  31. Tue Sep 1 08:32:25 2026 error -5 reading relation 46451757
  32. Tue Sep 1 08:32:27 2026 error -1 reading relation 47117134
  33. Tue Sep 1 08:33:09 2026 error -1 reading relation 62380703
  34. Tue Sep 1 08:33:22 2026 error -1 reading relation 66763599
  35. Tue Sep 1 08:33:40 2026 error -11 reading relation 72897730
  36. Tue Sep 1 08:33:40 2026 error -15 reading relation 72897757
  37. Tue Sep 1 08:33:40 2026 error -15 reading relation 72897889
  38. Tue Sep 1 08:33:40 2026 error -11 reading relation 72897989
  39. Tue Sep 1 08:33:40 2026 error -11 reading relation 72898020
  40. Tue Sep 1 08:33:40 2026 error -11 reading relation 72898092
  41. Tue Sep 1 08:33:40 2026 error -11 reading relation 72898204
  42. Tue Sep 1 08:33:40 2026 error -6 reading relation 72898215
  43. Tue Sep 1 08:33:40 2026 error -6 reading relation 72898234
  44. Tue Sep 1 08:33:40 2026 error -11 reading relation 72898297
  45. Tue Sep 1 08:33:40 2026 error -6 reading relation 72898491
  46. Tue Sep 1 08:33:48 2026 error -1 reading relation 76375038
  47. Tue Sep 1 08:33:50 2026 error -1 reading relation 77181442
  48. Tue Sep 1 08:33:54 2026 error -1 reading relation 78351549
  49. Tue Sep 1 08:34:26 2026 error -1 reading relation 89260156
  50. Tue Sep 1 08:34:53 2026 error -1 reading relation 98949468
  51. Tue Sep 1 08:35:18 2026 error -1 reading relation 108494459
  52. Tue Sep 1 08:35:35 2026 error -1 reading relation 114014210
  53. Tue Sep 1 08:35:38 2026 error -1 reading relation 114749505
  54. Tue Sep 1 08:36:04 2026 error -1 reading relation 124494196
  55. Tue Sep 1 08:36:07 2026 error -1 reading relation 126080642
  56. Tue Sep 1 08:36:20 2026 error -1 reading relation 130117669
  57. Tue Sep 1 08:36:24 2026 error -1 reading relation 131229655
  58. Tue Sep 1 08:37:22 2026 error -1 reading relation 152877456
  59. Tue Sep 1 08:38:46 2026 error -1 reading relation 182989691
  60. Tue Sep 1 08:39:02 2026 error -1 reading relation 188445691
  61. Tue Sep 1 08:39:04 2026 error -1 reading relation 189362120
  62. Tue Sep 1 08:39:11 2026 error -1 reading relation 194846751
  63. Tue Sep 1 08:39:34 2026 error -1 reading relation 206045909
  64. Tue Sep 1 08:39:51 2026 error -1 reading relation 212901891
  65. Tue Sep 1 08:40:13 2026 error -1 reading relation 221456732
  66. Tue Sep 1 08:40:15 2026 error -1 reading relation 222114602
  67. Tue Sep 1 08:40:33 2026 error -1 reading relation 228170324
  68. Tue Sep 1 08:40:35 2026 error -1 reading relation 229104610
  69. Tue Sep 1 08:40:43 2026 error -1 reading relation 232519943
  70. Tue Sep 1 08:40:43 2026 error -1 reading relation 232647474
  71. Tue Sep 1 08:40:45 2026 error -1 reading relation 233189379
  72. Tue Sep 1 08:40:52 2026 error -1 reading relation 236035523
  73. Tue Sep 1 08:41:18 2026 error -1 reading relation 246488897
  74. Tue Sep 1 08:41:36 2026 error -1 reading relation 253204491
  75. Tue Sep 1 08:41:43 2026 error -1 reading relation 256456451
  76. Tue Sep 1 08:41:55 2026 error -1 reading relation 260877069
  77. Tue Sep 1 08:41:55 2026 error -1 reading relation 260885015
  78. Tue Sep 1 08:41:56 2026 error -1 reading relation 261224806
  79. Tue Sep 1 08:41:57 2026 error -1 reading relation 261561495
  80. Tue Sep 1 08:41:57 2026 error -1 reading relation 261575033
  81. Tue Sep 1 08:42:05 2026 error -1 reading relation 264855451
  82. Tue Sep 1 08:42:15 2026 error -11 reading relation 268331054
  83. Tue Sep 1 08:42:18 2026 error -1 reading relation 269286397
  84. Tue Sep 1 08:42:21 2026 error -1 reading relation 270530391
  85. Tue Sep 1 08:42:51 2026 error -1 reading relation 281737656
  86. Tue Sep 1 08:43:10 2026 error -1 reading relation 289016588
  87. Tue Sep 1 08:43:17 2026 error -1 reading relation 291284954
  88. Tue Sep 1 08:43:22 2026 error -1 reading relation 292821331
  89. Tue Sep 1 08:43:23 2026 error -1 reading relation 293163450
  90. Tue Sep 1 08:43:23 2026 error -1 reading relation 293190887
  91. Tue Sep 1 08:43:44 2026 error -1 reading relation 300677458
  92. Tue Sep 1 08:43:52 2026 error -1 reading relation 303289301
  93. Tue Sep 1 08:44:02 2026 error -1 reading relation 306547982
  94. Tue Sep 1 08:44:05 2026 error -1 reading relation 308351186
  95. Tue Sep 1 08:44:05 2026 error -1 reading relation 308395348
  96. Tue Sep 1 08:44:08 2026 error -1 reading relation 309196233
  97. Tue Sep 1 08:44:09 2026 error -1 reading relation 309698859
  98. Tue Sep 1 08:44:12 2026 error -1 reading relation 310796771
  99. Tue Sep 1 08:44:16 2026 error -1 reading relation 312250402
  100. Tue Sep 1 08:44:19 2026 error -1 reading relation 313165044
  101. Tue Sep 1 08:44:31 2026 error -1 reading relation 317365097
  102. Tue Sep 1 08:44:34 2026 error -1 reading relation 319472416
  103. Tue Sep 1 08:44:43 2026 error -1 reading relation 322804590
  104. Tue Sep 1 08:45:01 2026 error -1 reading relation 329376336
  105. Tue Sep 1 08:45:02 2026 skipped 1 relations with b > 2^32
  106. Tue Sep 1 08:45:02 2026 skipped 2 relations with composite factors
  107. Tue Sep 1 08:45:02 2026 skipped 399 malformed relations
  108. Tue Sep 1 08:45:02 2026 found 67093197 hash collisions in 329549233 relations
  109. Tue Sep 1 08:45:14 2026 commencing duplicate removal, pass 2
  110. Tue Sep 1 08:47:34 2026 found 70545845 duplicates and 259003388 unique relations
  111. Tue Sep 1 08:47:34 2026 memory use: 1705.5 MB
  112. Tue Sep 1 08:47:34 2026 reading ideals above 720000
  113. Tue Sep 1 08:47:34 2026 commencing singleton removal, initial pass
  114. Tue Sep 1 09:05:32 2026 memory use: 6024.0 MB
  115. Tue Sep 1 09:05:33 2026 reading all ideals from disk
  116. Tue Sep 1 09:06:37 2026 memory use: 12579.5 MB
  117. Tue Sep 1 09:07:00 2026 keeping 245180807 ideals with weight <= 200, target excess is 1356510
  118. Tue Sep 1 09:07:25 2026 commencing in-memory singleton removal
  119. Tue Sep 1 09:07:30 2026 begin with 259003388 relations and 245180807 unique ideals
  120. Tue Sep 1 09:08:13 2026 reduce to 157360467 relations and 132703199 ideals in 16 passes
  121. Tue Sep 1 09:08:13 2026 max relations containing the same ideal: 150
  122. Tue Sep 1 09:09:07 2026 removing 12259261 relations and 10259261 ideals in 2000000 cliques
  123. Tue Sep 1 09:09:12 2026 commencing in-memory singleton removal
  124. Tue Sep 1 09:09:14 2026 begin with 145101206 relations and 132703199 unique ideals
  125. Tue Sep 1 09:09:32 2026 reduce to 144364967 relations and 121695356 ideals in 9 passes
  126. Tue Sep 1 09:09:32 2026 max relations containing the same ideal: 141
  127. Tue Sep 1 09:10:22 2026 removing 9389198 relations and 7389198 ideals in 2000000 cliques
  128. Tue Sep 1 09:10:25 2026 commencing in-memory singleton removal
  129. Tue Sep 1 09:10:27 2026 begin with 134975769 relations and 121695356 unique ideals
  130. Tue Sep 1 09:10:47 2026 reduce to 134479028 relations and 113802349 ideals in 10 passes
  131. Tue Sep 1 09:10:47 2026 max relations containing the same ideal: 134
  132. Tue Sep 1 09:11:39 2026 removing 8528803 relations and 6528803 ideals in 2000000 cliques
  133. Tue Sep 1 09:11:43 2026 commencing in-memory singleton removal
  134. Tue Sep 1 09:11:45 2026 begin with 125950225 relations and 113802349 unique ideals
  135. Tue Sep 1 09:11:58 2026 reduce to 125504480 relations and 106821517 ideals in 8 passes
  136. Tue Sep 1 09:11:58 2026 max relations containing the same ideal: 132
  137. Tue Sep 1 09:12:44 2026 removing 8093164 relations and 6093164 ideals in 2000000 cliques
  138. Tue Sep 1 09:12:47 2026 commencing in-memory singleton removal
  139. Tue Sep 1 09:12:49 2026 begin with 117411316 relations and 106821517 unique ideals
  140. Tue Sep 1 09:13:01 2026 reduce to 116981262 relations and 100291793 ideals in 8 passes
  141. Tue Sep 1 09:13:01 2026 max relations containing the same ideal: 125
  142. Tue Sep 1 09:13:43 2026 removing 7838643 relations and 5838643 ideals in 2000000 cliques
  143. Tue Sep 1 09:13:46 2026 commencing in-memory singleton removal
  144. Tue Sep 1 09:13:48 2026 begin with 109142619 relations and 100291793 unique ideals
  145. Tue Sep 1 09:13:56 2026 reduce to 108711189 relations and 94015082 ideals in 7 passes
  146. Tue Sep 1 09:13:56 2026 max relations containing the same ideal: 117
  147. Tue Sep 1 09:14:37 2026 removing 7686856 relations and 5686856 ideals in 2000000 cliques
  148. Tue Sep 1 09:14:40 2026 commencing in-memory singleton removal
  149. Tue Sep 1 09:14:42 2026 begin with 101024333 relations and 94015082 unique ideals
  150. Tue Sep 1 09:14:50 2026 reduce to 100580264 relations and 87876868 ideals in 8 passes
  151. Tue Sep 1 09:14:50 2026 max relations containing the same ideal: 113
  152. Tue Sep 1 09:15:22 2026 removing 7607092 relations and 5607092 ideals in 2000000 cliques
  153. Tue Sep 1 09:15:25 2026 commencing in-memory singleton removal
  154. Tue Sep 1 09:15:26 2026 begin with 92973172 relations and 87876868 unique ideals
  155. Tue Sep 1 09:15:35 2026 reduce to 92504624 relations and 81793172 ideals in 9 passes
  156. Tue Sep 1 09:15:35 2026 max relations containing the same ideal: 107
  157. Tue Sep 1 09:16:02 2026 removing 7576949 relations and 5576949 ideals in 2000000 cliques
  158. Tue Sep 1 09:16:04 2026 commencing in-memory singleton removal
  159. Tue Sep 1 09:16:03 2026 begin with 84927675 relations and 81793172 unique ideals
  160. Tue Sep 1 09:16:09 2026 reduce to 84422167 relations and 75701267 ideals in 8 passes
  161. Tue Sep 1 09:16:09 2026 max relations containing the same ideal: 102
  162. Tue Sep 1 09:16:33 2026 removing 7598790 relations and 5598790 ideals in 2000000 cliques
  163. Tue Sep 1 09:16:35 2026 commencing in-memory singleton removal
  164. Tue Sep 1 09:16:36 2026 begin with 76823377 relations and 75701267 unique ideals
  165. Tue Sep 1 09:16:42 2026 reduce to 76264943 relations and 69532730 ideals in 7 passes
  166. Tue Sep 1 09:16:42 2026 max relations containing the same ideal: 94
  167. Tue Sep 1 09:17:05 2026 removing 7659601 relations and 5659601 ideals in 2000000 cliques
  168. Tue Sep 1 09:17:07 2026 commencing in-memory singleton removal
  169. Tue Sep 1 09:17:07 2026 begin with 68605342 relations and 69532730 unique ideals
  170. Tue Sep 1 09:17:11 2026 reduce to 67975851 relations and 63229422 ideals in 7 passes
  171. Tue Sep 1 09:17:11 2026 max relations containing the same ideal: 91
  172. Tue Sep 1 09:17:33 2026 removing 7768615 relations and 5768615 ideals in 2000000 cliques
  173. Tue Sep 1 09:17:32 2026 commencing in-memory singleton removal
  174. Tue Sep 1 09:17:33 2026 begin with 60207236 relations and 63229422 unique ideals
  175. Tue Sep 1 09:17:38 2026 reduce to 59467009 relations and 56701900 ideals in 9 passes
  176. Tue Sep 1 09:17:38 2026 max relations containing the same ideal: 83
  177. Tue Sep 1 09:17:56 2026 removing 5295513 relations and 4103956 ideals in 1191557 cliques
  178. Tue Sep 1 09:17:58 2026 commencing in-memory singleton removal
  179. Tue Sep 1 09:17:59 2026 begin with 54171496 relations and 56701900 unique ideals
  180. Tue Sep 1 09:18:02 2026 reduce to 53798296 relations and 52218365 ideals in 8 passes
  181. Tue Sep 1 09:18:02 2026 max relations containing the same ideal: 78
  182. Tue Sep 1 09:18:24 2026 trying target density 90
  183. Tue Sep 1 09:18:29 2026 relations with 0 large ideals: 5072
  184. Tue Sep 1 09:18:29 2026 relations with 1 large ideals: 25186
  185. Tue Sep 1 09:18:29 2026 relations with 2 large ideals: 355610
  186. Tue Sep 1 09:18:29 2026 relations with 3 large ideals: 2120220
  187. Tue Sep 1 09:18:29 2026 relations with 4 large ideals: 6774996
  188. Tue Sep 1 09:18:29 2026 relations with 5 large ideals: 12773802
  189. Tue Sep 1 09:18:29 2026 relations with 6 large ideals: 14874292
  190. Tue Sep 1 09:18:29 2026 relations with 7+ large ideals: 16869118
  191. Tue Sep 1 09:18:29 2026 commencing 2-way merge
  192. Tue Sep 1 09:18:57 2026 reduce to 33431361 relation sets and 31851430 unique ideals
  193. Tue Sep 1 09:18:57 2026 commencing full merge
  194. Tue Sep 1 09:27:27 2026 memory use: 3786.3 MB
  195. Tue Sep 1 09:27:32 2026 found 16477581 cycles, need 16263630
  196. Tue Sep 1 09:27:37 2026 weight of 16263630 cycles is about 1464097290 (90.02/cycle)
  197. Tue Sep 1 09:27:37 2026 distribution of cycle lengths:
  198. Tue Sep 1 09:27:37 2026 1 relations: 1749416
  199. Tue Sep 1 09:27:37 2026 2 relations: 1574569
  200. Tue Sep 1 09:27:37 2026 3 relations: 1585523
  201. Tue Sep 1 09:27:37 2026 4 relations: 1539936
  202. Tue Sep 1 09:27:37 2026 5 relations: 1474700
  203. Tue Sep 1 09:27:37 2026 6 relations: 1404643
  204. Tue Sep 1 09:27:37 2026 7 relations: 1285690
  205. Tue Sep 1 09:27:37 2026 8 relations: 1150230
  206. Tue Sep 1 09:27:37 2026 9 relations: 997636
  207. Tue Sep 1 09:27:37 2026 10+ relations: 3501287
  208. Tue Sep 1 09:27:37 2026 heaviest cycle: 22 relations
  209. Tue Sep 1 09:27:41 2026 commencing cycle optimization
  210. Tue Sep 1 09:28:09 2026 start with 102401506 relations
  211. Tue Sep 1 09:30:37 2026 pruned 3056084 relations
  212. Tue Sep 1 09:30:39 2026 memory use: 3234.4 MB
  213. Tue Sep 1 09:30:39 2026 distribution of cycle lengths:
  214. Tue Sep 1 09:30:39 2026 1 relations: 1749416
  215. Tue Sep 1 09:30:39 2026 2 relations: 1613041
  216. Tue Sep 1 09:30:39 2026 3 relations: 1645588
  217. Tue Sep 1 09:30:39 2026 4 relations: 1587069
  218. Tue Sep 1 09:30:39 2026 5 relations: 1527675
  219. Tue Sep 1 09:30:39 2026 6 relations: 1443992
  220. Tue Sep 1 09:30:39 2026 7 relations: 1320733
  221. Tue Sep 1 09:30:39 2026 8 relations: 1169792
  222. Tue Sep 1 09:30:39 2026 9 relations: 1004988
  223. Tue Sep 1 09:30:39 2026 10+ relations: 3201336
  224. Tue Sep 1 09:30:39 2026 heaviest cycle: 21 relations
  225. Tue Sep 1 09:31:08 2026 trying target density 110
  226. Tue Sep 1 09:31:13 2026 relations with 0 large ideals: 5072
  227. Tue Sep 1 09:31:13 2026 relations with 1 large ideals: 25186
  228. Tue Sep 1 09:31:13 2026 relations with 2 large ideals: 355610
  229. Tue Sep 1 09:31:13 2026 relations with 3 large ideals: 2120220
  230. Tue Sep 1 09:31:13 2026 relations with 4 large ideals: 6774996
  231. Tue Sep 1 09:31:13 2026 relations with 5 large ideals: 12773802
  232. Tue Sep 1 09:31:13 2026 relations with 6 large ideals: 14874292
  233. Tue Sep 1 09:31:13 2026 relations with 7+ large ideals: 16869118
  234. Tue Sep 1 09:31:13 2026 commencing 2-way merge
  235. Tue Sep 1 09:31:41 2026 reduce to 33431361 relation sets and 31851430 unique ideals
  236. Tue Sep 1 09:31:41 2026 commencing full merge
  237. Tue Sep 1 09:41:01 2026 memory use: 3888.1 MB
  238. Tue Sep 1 09:41:05 2026 found 15355660 cycles, need 15183630
  239. Tue Sep 1 09:41:09 2026 weight of 15183630 cycles is about 1670712014 (110.03/cycle)
  240. Tue Sep 1 09:41:09 2026 distribution of cycle lengths:
  241. Tue Sep 1 09:41:09 2026 1 relations: 1242547
  242. Tue Sep 1 09:41:09 2026 2 relations: 1191105
  243. Tue Sep 1 09:41:09 2026 3 relations: 1231416
  244. Tue Sep 1 09:41:09 2026 4 relations: 1192486
  245. Tue Sep 1 09:41:09 2026 5 relations: 1172213
  246. Tue Sep 1 09:41:09 2026 6 relations: 1145750
  247. Tue Sep 1 09:41:09 2026 7 relations: 1095965
  248. Tue Sep 1 09:41:09 2026 8 relations: 1030967
  249. Tue Sep 1 09:41:09 2026 9 relations: 950801
  250. Tue Sep 1 09:41:09 2026 10+ relations: 4930380
  251. Tue Sep 1 09:41:09 2026 heaviest cycle: 26 relations
  252. Tue Sep 1 09:41:13 2026 commencing cycle optimization
  253. Tue Sep 1 09:41:40 2026 start with 116439726 relations
  254. Tue Sep 1 09:44:46 2026 pruned 4357379 relations
  255. Tue Sep 1 09:44:47 2026 memory use: 3381.3 MB
  256. Tue Sep 1 09:44:47 2026 distribution of cycle lengths:
  257. Tue Sep 1 09:44:47 2026 1 relations: 1242547
  258. Tue Sep 1 09:44:47 2026 2 relations: 1221872
  259. Tue Sep 1 09:44:47 2026 3 relations: 1280444
  260. Tue Sep 1 09:44:47 2026 4 relations: 1235496
  261. Tue Sep 1 09:44:47 2026 5 relations: 1222614
  262. Tue Sep 1 09:44:47 2026 6 relations: 1189731
  263. Tue Sep 1 09:44:47 2026 7 relations: 1140931
  264. Tue Sep 1 09:44:47 2026 8 relations: 1065253
  265. Tue Sep 1 09:44:47 2026 9 relations: 979835
  266. Tue Sep 1 09:44:47 2026 10+ relations: 4604907
  267. Tue Sep 1 09:44:47 2026 heaviest cycle: 25 relations
  268. Tue Sep 1 09:45:15 2026 trying target density 130
  269. Tue Sep 1 09:45:20 2026 relations with 0 large ideals: 5072
  270. Tue Sep 1 09:45:20 2026 relations with 1 large ideals: 25186
  271. Tue Sep 1 09:45:20 2026 relations with 2 large ideals: 355610
  272. Tue Sep 1 09:45:20 2026 relations with 3 large ideals: 2120220
  273. Tue Sep 1 09:45:20 2026 relations with 4 large ideals: 6774996
  274. Tue Sep 1 09:45:20 2026 relations with 5 large ideals: 12773802
  275. Tue Sep 1 09:45:20 2026 relations with 6 large ideals: 14874292
  276. Tue Sep 1 09:45:20 2026 relations with 7+ large ideals: 16869118
  277. Tue Sep 1 09:45:20 2026 commencing 2-way merge
  278. Tue Sep 1 09:45:44 2026 reduce to 33431361 relation sets and 31851430 unique ideals
  279. Tue Sep 1 09:45:44 2026 commencing full merge
  280. Tue Sep 1 09:56:19 2026 memory use: 3948.6 MB
  281. Tue Sep 1 09:56:22 2026 found 14454085 cycles, need 14397630
  282. Tue Sep 1 09:56:26 2026 weight of 14397630 cycles is about 1872147596 (130.03/cycle)
  283. Tue Sep 1 09:56:26 2026 distribution of cycle lengths:
  284. Tue Sep 1 09:56:26 2026 1 relations: 911629
  285. Tue Sep 1 09:56:26 2026 2 relations: 944098
  286. Tue Sep 1 09:56:26 2026 3 relations: 986949
  287. Tue Sep 1 09:56:26 2026 4 relations: 972137
  288. Tue Sep 1 09:56:26 2026 5 relations: 969034
  289. Tue Sep 1 09:56:26 2026 6 relations: 948424
  290. Tue Sep 1 09:56:26 2026 7 relations: 940286
  291. Tue Sep 1 09:56:26 2026 8 relations: 895739
  292. Tue Sep 1 09:56:26 2026 9 relations: 857936
  293. Tue Sep 1 09:56:26 2026 10+ relations: 5971398
  294. Tue Sep 1 09:56:26 2026 heaviest cycle: 28 relations
  295. Tue Sep 1 09:56:29 2026 commencing cycle optimization
  296. Tue Sep 1 09:56:58 2026 start with 129989503 relations
  297. Tue Sep 1 10:01:10 2026 pruned 5705975 relations
  298. Tue Sep 1 10:01:10 2026 memory use: 3519.6 MB
  299. Tue Sep 1 10:01:10 2026 distribution of cycle lengths:
  300. Tue Sep 1 10:01:10 2026 1 relations: 911629
  301. Tue Sep 1 10:01:10 2026 2 relations: 968895
  302. Tue Sep 1 10:01:10 2026 3 relations: 1027543
  303. Tue Sep 1 10:01:10 2026 4 relations: 1010349
  304. Tue Sep 1 10:01:10 2026 5 relations: 1014138
  305. Tue Sep 1 10:01:10 2026 6 relations: 991782
  306. Tue Sep 1 10:01:10 2026 7 relations: 984963
  307. Tue Sep 1 10:01:10 2026 8 relations: 936572
  308. Tue Sep 1 10:01:11 2026 9 relations: 896137
  309. Tue Sep 1 10:01:11 2026 10+ relations: 5655622
  310. Tue Sep 1 10:01:11 2026 heaviest cycle: 28 relations
  311. Tue Sep 1 10:01:40 2026 RelProcTime: 5486
  312. Tue Sep 1 10:01:40 2026
  313. Tue Sep 1 10:01:40 2026 commencing linear algebra
  314. Tue Sep 1 10:01:40 2026 using VBITS=256
  315. Tue Sep 1 10:01:40 2026 building matrices for all densities
  316. Tue Sep 1 10:01:40 2026 found 3 density files
  317. Tue Sep 1 10:01:40 2026 building matrix for density 90
  318. Tue Sep 1 10:01:42 2026 read 16263630 cycles
  319. Tue Sep 1 10:02:11 2026 cycles contain 52725478 unique relations
  320. Tue Sep 1 10:07:02 2026 read 52725478 relations
  321. Tue Sep 1 10:07:16 2026 using 20 quadratic characters above 4294917295
  322. Tue Sep 1 10:07:40 2026 building initial matrix
  323. Tue Sep 1 10:15:01 2026 memory use: 7300.6 MB
  324. Tue Sep 1 10:15:07 2026 read 16263630 cycles
  325. Tue Sep 1 10:15:06 2026 matrix is 16263448 x 16263630 (6083.0 MB) with weight 1865655156 (114.71/col)
  326. Tue Sep 1 10:15:06 2026 sparse part has weight 1399468780 (86.05/col)
  327. Tue Sep 1 10:17:21 2026 filtering completed in 2 passes
  328. Tue Sep 1 10:17:24 2026 matrix is 16257959 x 16258139 (6082.5 MB) with weight 1865429042 (114.74/col)
  329. Tue Sep 1 10:17:24 2026 sparse part has weight 1399401519 (86.07/col)
  330. Tue Sep 1 10:17:53 2026 building matrix for density 110
  331. Tue Sep 1 10:17:55 2026 read 15183630 cycles
  332. Tue Sep 1 10:18:14 2026 cycles contain 52740202 unique relations
  333. Tue Sep 1 10:19:34 2026 read 52740202 relations
  334. Tue Sep 1 10:19:47 2026 using 20 quadratic characters above 4294917295
  335. Tue Sep 1 10:20:08 2026 building initial matrix
  336. Tue Sep 1 10:28:29 2026 memory use: 7318.0 MB
  337. Tue Sep 1 10:28:34 2026 read 15183630 cycles
  338. Tue Sep 1 10:28:36 2026 matrix is 15183451 x 15183630 (6695.9 MB) with weight 2034720570 (134.01/col)
  339. Tue Sep 1 10:28:36 2026 sparse part has weight 1573089444 (103.60/col)
  340. Tue Sep 1 10:30:55 2026 filtering completed in 2 passes
  341. Tue Sep 1 10:30:58 2026 matrix is 15181055 x 15181231 (6695.6 MB) with weight 2034601103 (134.02/col)
  342. Tue Sep 1 10:30:58 2026 sparse part has weight 1573047182 (103.62/col)
  343. Tue Sep 1 10:31:30 2026 building matrix for density 130
  344. Tue Sep 1 10:31:31 2026 read 14397630 cycles
  345. Tue Sep 1 10:31:55 2026 cycles contain 52739941 unique relations
  346. Tue Sep 1 10:33:08 2026 read 52739941 relations
  347. Tue Sep 1 10:33:25 2026 using 20 quadratic characters above 4294917295
  348. Tue Sep 1 10:33:46 2026 building initial matrix
  349. Tue Sep 1 10:42:43 2026 memory use: 7340.6 MB
  350. Tue Sep 1 10:42:49 2026 read 14397630 cycles
  351. Tue Sep 1 10:42:51 2026 matrix is 14397452 x 14397630 (7294.7 MB) with weight 2198299399 (152.68/col)
  352. Tue Sep 1 10:42:51 2026 sparse part has weight 1739493595 (120.82/col)
  353. Tue Sep 1 10:45:01 2026 filtering completed in 2 passes
  354. Tue Sep 1 10:45:04 2026 matrix is 14396889 x 14397065 (7294.7 MB) with weight 2198271343 (152.69/col)
  355. Tue Sep 1 10:45:04 2026 sparse part has weight 1739484540 (120.82/col)
  356. Tue Sep 1 10:45:49 2026 BLanczosTime: 2649
  357. Tue Sep 1 10:45:49 2026 elapsed time 02:15:36
  358. Tue Sep 1 17:52:10 2026
  359. Tue Sep 1 17:52:10 2026
  360. Tue Sep 1 17:52:10 2026 Msieve v. 1.54 (SVN unknown)
  361. Tue Sep 1 17:52:10 2026 random seeds: b2f8f769 54625bd0
  362. Tue Sep 1 17:52:10 2026 factoring 11605452945608199231344796161567229305292085061450143781445930077954172365440020473913717420934103705919239786366070271806642483225680272963347894813193015546634565914127679867464481 (182 digits)
  363. Tue Sep 1 17:52:11 2026 no P-1/P+1/ECM available, skipping
  364. Tue Sep 1 17:52:11 2026 commencing number field sieve (182-digit input)
  365. Tue Sep 1 17:52:11 2026 R0: -169414057229675961672536643570155741
  366. Tue Sep 1 17:52:11 2026 R1: 13726752475856060233619
  367. Tue Sep 1 17:52:11 2026 A0: 6091903915590826195697545497326074407862080
  368. Tue Sep 1 17:52:11 2026 A1: 1230866303055794312348549078670428398
  369. Tue Sep 1 17:52:11 2026 A2: -2880557863536577741004713849
  370. Tue Sep 1 17:52:11 2026 A3: -1025256278445925208381
  371. Tue Sep 1 17:52:11 2026 A4: 1880178634464
  372. Tue Sep 1 17:52:11 2026 A5: 166320
  373. Tue Sep 1 17:52:11 2026 skew 50477468.11, size 1.696e-17, alpha -6.962, combined = 1.013e-13 rroots = 5
  374. Tue Sep 1 17:52:11 2026
  375. Tue Sep 1 17:52:11 2026 commencing linear algebra
  376. Tue Sep 1 17:52:11 2026 using VBITS=256
  377. Tue Sep 1 17:52:11 2026 skipping matrix build
  378. Tue Sep 1 17:52:15 2026 matrix starts at (0, 0)
  379. Tue Sep 1 17:52:17 2026 matrix is 14396889 x 14397065 (7294.7 MB) with weight 2198271343 (152.69/col)
  380. Tue Sep 1 17:52:17 2026 sparse part has weight 1739484540 (120.82/col)
  381. Tue Sep 1 17:52:17 2026 saving the first 240 matrix rows for later
  382. Tue Sep 1 17:52:22 2026 matrix includes 256 packed rows
  383. Tue Sep 1 17:52:27 2026 matrix is 14396649 x 14397065 (6624.4 MB) with weight 1596269540 (110.87/col)
  384. Tue Sep 1 17:52:27 2026 sparse part has weight 1506195490 (104.62/col)
  385. Tue Sep 1 17:52:27 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  386. Tue Sep 1 17:52:27 2026 selected card has CUDA arch 12.0
  387. Tue Sep 1 17:52:28 2026 computed block_nnz 164550251 (L2 cache 100663296 bytes, average column weight 104.6)
  388. Tue Sep 1 17:52:28 2026 nonzeros per matrix block: 256000000
  389. Tue Sep 1 17:55:59 2026 commencing Lanczos iteration
  390. Tue Sep 1 17:56:00 2026 memory use: 15720.2 MB
  391. Tue Sep 1 17:56:12 2026 linear algebra at 0.2%, ETA 1h25m
  392. Tue Sep 1 17:56:29 2026 checking every 160000 dimensions, checkpointing every 9920000 dimensions
  393. Tue Sep 1 19:22:15 2026 lanczos halted after 56407 iterations (dim = 14396649)
  394. Tue Sep 1 19:23:23 2026 recovered 31 nontrivial dependencies
  395. Tue Sep 1 19:23:24 2026 BLanczosTime: 5473
  396. Tue Sep 1 19:23:24 2026 elapsed time 01:31:14
  397. Tue Sep 1 15:42:15 2026
  398. Tue Sep 1 15:42:15 2026
  399. Tue Sep 1 15:42:15 2026 Msieve v. 1.54 (SVN unknown)
  400. Tue Sep 1 15:42:15 2026 random seeds: cbbbb99b f2a1682e
  401. Tue Sep 1 15:42:15 2026 Using 8 OpenMP threads
  402. Tue Sep 1 15:42:15 2026 factoring 11605452945608199231344796161567229305292085061450143781445930077954172365440020473913717420934103705919239786366070271806642483225680272963347894813193015546634565914127679867464481 (182 digits)
  403. Tue Sep 1 15:42:16 2026 no P-1/P+1/ECM available, skipping
  404. Tue Sep 1 15:42:16 2026 commencing number field sieve (182-digit input)
  405. Tue Sep 1 15:42:16 2026 R0: -169414057229675961672536643570155741
  406. Tue Sep 1 15:42:16 2026 R1: 13726752475856060233619
  407. Tue Sep 1 15:42:16 2026 A0: 6091903915590826195697545497326074407862080
  408. Tue Sep 1 15:42:16 2026 A1: 1230866303055794312348549078670428398
  409. Tue Sep 1 15:42:16 2026 A2: -2880557863536577741004713849
  410. Tue Sep 1 15:42:16 2026 A3: -1025256278445925208381
  411. Tue Sep 1 15:42:16 2026 A4: 1880178634464
  412. Tue Sep 1 15:42:16 2026 A5: 166320
  413. Tue Sep 1 15:42:16 2026 skew 50477468.11, size 1.696e-17, alpha -6.962, combined = 1.013e-13 rroots = 5
  414. Tue Sep 1 15:42:16 2026
  415. Tue Sep 1 15:42:16 2026 commencing square root phase
  416. Tue Sep 1 15:42:16 2026 reading relations for dependency 1
  417. Tue Sep 1 15:42:23 2026 read 7197649 cycles
  418. Tue Sep 1 15:42:36 2026 cycles contain 26376046 unique relations
  419. Tue Sep 1 15:47:01 2026 read 26376046 relations
  420. Tue Sep 1 15:48:58 2026 multiplying 26376046 relations
  421. Tue Sep 1 15:52:54 2026 multiply complete, coefficients have about 1477.48 million bits
  422. Tue Sep 1 15:52:59 2026 initial square root is modulo 4242059
  423. Tue Sep 1 16:00:07 2026 GCD is N, no factor found
  424. Tue Sep 1 16:00:07 2026 reading relations for dependency 2
  425. Tue Sep 1 16:00:09 2026 read 7197691 cycles
  426. Tue Sep 1 16:00:26 2026 cycles contain 26361046 unique relations
  427. Tue Sep 1 16:02:51 2026 read 26361046 relations
  428. Tue Sep 1 16:04:30 2026 multiplying 26361046 relations
  429. Tue Sep 1 16:07:45 2026 multiply complete, coefficients have about 1476.64 million bits
  430. Tue Sep 1 16:07:48 2026 initial square root is modulo 4205281
  431. Tue Sep 1 16:13:53 2026 GCD is N, no factor found
  432. Tue Sep 1 16:13:53 2026 reading relations for dependency 3
  433. Tue Sep 1 16:13:54 2026 read 7196208 cycles
  434. Tue Sep 1 16:14:04 2026 cycles contain 26363682 unique relations
  435. Tue Sep 1 16:14:45 2026 read 26363682 relations
  436. Tue Sep 1 16:16:12 2026 multiplying 26363682 relations
  437. Tue Sep 1 16:19:03 2026 multiply complete, coefficients have about 1476.77 million bits
  438. Tue Sep 1 16:19:05 2026 initial square root is modulo 4211321
  439. Tue Sep 1 16:25:22 2026 GCD is N, no factor found
  440. Tue Sep 1 16:25:22 2026 reading relations for dependency 4
  441. Tue Sep 1 16:25:23 2026 read 7196371 cycles
  442. Tue Sep 1 16:25:35 2026 cycles contain 26359762 unique relations
  443. Tue Sep 1 16:26:20 2026 read 26359762 relations
  444. Tue Sep 1 16:27:56 2026 multiplying 26359762 relations
  445. Tue Sep 1 16:30:42 2026 multiply complete, coefficients have about 1476.59 million bits
  446. Tue Sep 1 16:30:44 2026 initial square root is modulo 4203109
  447. Tue Sep 1 16:35:17 2026 GCD is 1, no factor found
  448. Tue Sep 1 16:35:17 2026 reading relations for dependency 5
  449. Tue Sep 1 16:35:18 2026 read 7200351 cycles
  450. Tue Sep 1 16:35:27 2026 cycles contain 26375170 unique relations
  451. Tue Sep 1 16:35:48 2026 read 26375170 relations
  452. Tue Sep 1 16:37:20 2026 multiplying 26375170 relations
  453. Tue Sep 1 16:39:39 2026 multiply complete, coefficients have about 1477.42 million bits
  454. Tue Sep 1 16:39:42 2026 initial square root is modulo 4239593
  455. Tue Sep 1 16:46:27 2026 sqrtTime: 3851
  456. Tue Sep 1 16:46:27 2026 p64 factor: 5446635399181478750383849028594478198605702787279045565738542769
  457. Tue Sep 1 16:46:27 2026 p118 factor: 2130756346817756257187622799480620453585930684515331699226637876818599438008469489445030398550106830899740138648635249
  458. Tue Sep 1 16:46:27 2026 elapsed time 01:04:12
  459.  
Tags: math
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