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kyleaskine
Jun 3rd, 2026
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  1. Sat May 30 18:12:01 2026
  2. Sat May 30 18:12:01 2026
  3. Sat May 30 18:12:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 30 18:12:01 2026 random seeds: e12c7134 6523c6d3
  5. Sat May 30 18:12:01 2026 Using 8 OpenMP threads
  6. Sat May 30 18:12:01 2026 factoring 16403199409569865746087188186293950560160818657599657672395092807589847806005471414006225775957084050893930001368160007536193899212232231877956712853738008726273682925428230124455578706295221401768606289813420171220625332345655394604181326897 (242 digits)
  7. Sat May 30 18:12:01 2026 no P-1/P+1/ECM available, skipping
  8. Sat May 30 18:12:01 2026 commencing number field sieve (242-digit input)
  9. Sat May 30 18:12:01 2026 R0: 2509844408905785314374082254988559791752022581287050
  10. Sat May 30 18:12:01 2026 R1: -50098347367011871466301757
  11. Sat May 30 18:12:01 2026 A0: 1
  12. Sat May 30 18:12:01 2026 A1: 3
  13. Sat May 30 18:12:01 2026 A2: -3
  14. Sat May 30 18:12:01 2026 A3: -4
  15. Sat May 30 18:12:01 2026 A4: 1
  16. Sat May 30 18:12:01 2026 A5: 1
  17. Sat May 30 18:12:01 2026 skew 1.49, size 1.872e-17, alpha 2.379, combined = 6.561e-14 rroots = 5
  18. Sat May 30 18:12:01 2026
  19. Sat May 30 18:12:01 2026 commencing relation filtering
  20. Sat May 30 18:12:01 2026 setting target matrix density to 100.0
  21. Sat May 30 18:12:01 2026 estimated available RAM is 31872.1 MB
  22. Sat May 30 18:12:01 2026 commencing duplicate removal, pass 1
  23. Sat May 30 18:12:16 2026 error -1 reading relation 15331955
  24. Sat May 30 18:12:18 2026 error -1 reading relation 17177062
  25. Sat May 30 18:12:18 2026 error -1 reading relation 17492365
  26. Sat May 30 18:12:23 2026 error -1 reading relation 22593757
  27. Sat May 30 18:12:57 2026 error -1 reading relation 58124327
  28. Sat May 30 18:13:34 2026 error -1 reading relation 98573502
  29. Sat May 30 18:13:55 2026 error -1 reading relation 121846322
  30. Sat May 30 18:13:55 2026 error -1 reading relation 121924947
  31. Sat May 30 18:13:56 2026 error -1 reading relation 123077006
  32. Sat May 30 18:13:56 2026 error -1 reading relation 123195333
  33. Sat May 30 18:13:57 2026 error -1 reading relation 123462820
  34. Sat May 30 18:14:00 2026 error -1 reading relation 127336923
  35. Sat May 30 18:14:02 2026 error -1 reading relation 129532183
  36. Sat May 30 18:14:08 2026 error -1 reading relation 134993476
  37. Sat May 30 18:14:13 2026 error -1 reading relation 140968410
  38. Sat May 30 18:14:18 2026 error -1 reading relation 146331999
  39. Sat May 30 18:14:18 2026 error -1 reading relation 146337823
  40. Sat May 30 18:14:19 2026 error -1 reading relation 147354444
  41. Sat May 30 18:14:20 2026 error -1 reading relation 148311773
  42. Sat May 30 18:14:24 2026 error -1 reading relation 153444526
  43. Sat May 30 18:14:25 2026 error -1 reading relation 154459551
  44. Sat May 30 18:14:47 2026 error -1 reading relation 178397430
  45. Sat May 30 18:14:59 2026 error -1 reading relation 190626131
  46. Sat May 30 18:15:03 2026 error -1 reading relation 195306027
  47. Sat May 30 18:15:28 2026 error -1 reading relation 220324535
  48. Sat May 30 18:15:37 2026 error -1 reading relation 229086529
  49. Sat May 30 18:15:40 2026 error -1 reading relation 232385014
  50. Sat May 30 18:15:40 2026 error -1 reading relation 232603874
  51. Sat May 30 18:15:49 2026 error -1 reading relation 241813125
  52. Sat May 30 18:16:00 2026 error -1 reading relation 251881027
  53. Sat May 30 18:16:00 2026 error -1 reading relation 252141576
  54. Sat May 30 18:16:25 2026 error -1 reading relation 277002886
  55. Sat May 30 18:16:38 2026 error -1 reading relation 285703657
  56. Sat May 30 18:17:05 2026 error -1 reading relation 305744894
  57. Sat May 30 18:17:15 2026 error -1 reading relation 313022553
  58. Sat May 30 18:17:20 2026 error -1 reading relation 316628048
  59. Sat May 30 18:17:20 2026 error -1 reading relation 316759678
  60. Sat May 30 18:17:24 2026 error -1 reading relation 319702101
  61. Sat May 30 18:17:24 2026 error -1 reading relation 319703072
  62. Sat May 30 18:17:27 2026 error -1 reading relation 322373591
  63. Sat May 30 18:17:40 2026 error -1 reading relation 331137974
  64. Sat May 30 18:17:40 2026 error -1 reading relation 331345684
  65. Sat May 30 18:17:41 2026 error -1 reading relation 331755275
  66. Sat May 30 18:17:42 2026 error -1 reading relation 332321323
  67. Sat May 30 18:17:42 2026 error -1 reading relation 332325827
  68. Sat May 30 18:17:42 2026 error -15 reading relation 332571105
  69. Sat May 30 18:17:45 2026 skipped 1 relations with composite factors
  70. Sat May 30 18:17:45 2026 skipped 355 malformed relations
  71. Sat May 30 18:17:45 2026 found 64877830 hash collisions in 335758761 relations
  72. Sat May 30 18:17:45 2026 commencing duplicate removal, pass 2
  73. Sat May 30 18:22:28 2026 found 67642225 duplicates and 268116536 unique relations
  74. Sat May 30 18:22:28 2026 memory use: 1705.5 MB
  75. Sat May 30 18:22:28 2026 reading ideals above 154992640
  76. Sat May 30 18:22:28 2026 commencing singleton removal, initial pass
  77. Sat May 30 18:32:06 2026 memory use: 6024.0 MB
  78. Sat May 30 18:32:06 2026 reading all ideals from disk
  79. Sat May 30 18:32:28 2026 memory use: 7050.3 MB
  80. Sat May 30 18:32:53 2026 commencing in-memory singleton removal
  81. Sat May 30 18:32:57 2026 begin with 268116536 relations and 234259718 unique ideals
  82. Sat May 30 18:33:18 2026 reduce to 167726734 relations and 123480577 ideals in 15 passes
  83. Sat May 30 18:33:18 2026 max relations containing the same ideal: 49
  84. Sat May 30 18:33:22 2026 reading ideals above 720000
  85. Sat May 30 18:33:22 2026 commencing singleton removal, initial pass
  86. Sat May 30 18:43:16 2026 memory use: 3012.0 MB
  87. Sat May 30 18:43:16 2026 reading all ideals from disk
  88. Sat May 30 18:44:14 2026 memory use: 8165.3 MB
  89. Sat May 30 18:44:34 2026 keeping 140018069 ideals with weight <= 200, target excess is 880932
  90. Sat May 30 18:44:48 2026 commencing in-memory singleton removal
  91. Sat May 30 18:44:53 2026 begin with 167726734 relations and 140018069 unique ideals
  92. Sat May 30 18:45:03 2026 reduce to 167726320 relations and 140017655 ideals in 4 passes
  93. Sat May 30 18:45:03 2026 max relations containing the same ideal: 200
  94. Sat May 30 18:45:55 2026 removing 12487304 relations and 10487304 ideals in 2000000 cliques
  95. Sat May 30 18:45:59 2026 commencing in-memory singleton removal
  96. Sat May 30 18:46:04 2026 begin with 155239016 relations and 140017655 unique ideals
  97. Sat May 30 18:46:21 2026 reduce to 154505056 relations and 128784724 ideals in 8 passes
  98. Sat May 30 18:46:21 2026 max relations containing the same ideal: 198
  99. Sat May 30 18:47:02 2026 removing 9507852 relations and 7507852 ideals in 2000000 cliques
  100. Sat May 30 18:47:06 2026 commencing in-memory singleton removal
  101. Sat May 30 18:47:10 2026 begin with 144997204 relations and 128784724 unique ideals
  102. Sat May 30 18:47:28 2026 reduce to 144511551 relations and 120784562 ideals in 9 passes
  103. Sat May 30 18:47:28 2026 max relations containing the same ideal: 191
  104. Sat May 30 18:48:07 2026 removing 8593609 relations and 6593609 ideals in 2000000 cliques
  105. Sat May 30 18:48:10 2026 commencing in-memory singleton removal
  106. Sat May 30 18:48:14 2026 begin with 135917942 relations and 120784562 unique ideals
  107. Sat May 30 18:48:29 2026 reduce to 135492280 relations and 113759397 ideals in 8 passes
  108. Sat May 30 18:48:29 2026 max relations containing the same ideal: 184
  109. Sat May 30 18:49:04 2026 removing 8113651 relations and 6113651 ideals in 2000000 cliques
  110. Sat May 30 18:49:07 2026 commencing in-memory singleton removal
  111. Sat May 30 18:49:10 2026 begin with 127378629 relations and 113759397 unique ideals
  112. Sat May 30 18:49:22 2026 reduce to 126975730 relations and 107237178 ideals in 7 passes
  113. Sat May 30 18:49:22 2026 max relations containing the same ideal: 176
  114. Sat May 30 18:49:56 2026 removing 7819571 relations and 5819571 ideals in 2000000 cliques
  115. Sat May 30 18:49:58 2026 commencing in-memory singleton removal
  116. Sat May 30 18:50:02 2026 begin with 119156159 relations and 107237178 unique ideals
  117. Sat May 30 18:50:15 2026 reduce to 118760870 relations and 101016528 ideals in 8 passes
  118. Sat May 30 18:50:15 2026 max relations containing the same ideal: 168
  119. Sat May 30 18:50:46 2026 removing 7630722 relations and 5630722 ideals in 2000000 cliques
  120. Sat May 30 18:50:49 2026 commencing in-memory singleton removal
  121. Sat May 30 18:50:52 2026 begin with 111130148 relations and 101016528 unique ideals
  122. Sat May 30 18:51:02 2026 reduce to 110730399 relations and 94979956 ideals in 7 passes
  123. Sat May 30 18:51:02 2026 max relations containing the same ideal: 160
  124. Sat May 30 18:51:31 2026 removing 7496842 relations and 5496842 ideals in 2000000 cliques
  125. Sat May 30 18:51:34 2026 commencing in-memory singleton removal
  126. Sat May 30 18:51:37 2026 begin with 103233557 relations and 94979956 unique ideals
  127. Sat May 30 18:51:48 2026 reduce to 102823971 relations and 89066940 ideals in 8 passes
  128. Sat May 30 18:51:48 2026 max relations containing the same ideal: 153
  129. Sat May 30 18:52:15 2026 removing 7421851 relations and 5421851 ideals in 2000000 cliques
  130. Sat May 30 18:52:18 2026 commencing in-memory singleton removal
  131. Sat May 30 18:52:20 2026 begin with 95402120 relations and 89066940 unique ideals
  132. Sat May 30 18:52:31 2026 reduce to 94971669 relations and 83207303 ideals in 8 passes
  133. Sat May 30 18:52:31 2026 max relations containing the same ideal: 145
  134. Sat May 30 18:52:56 2026 removing 7384404 relations and 5384404 ideals in 2000000 cliques
  135. Sat May 30 18:52:59 2026 commencing in-memory singleton removal
  136. Sat May 30 18:53:01 2026 begin with 87587265 relations and 83207303 unique ideals
  137. Sat May 30 18:53:09 2026 reduce to 87128128 relations and 77355210 ideals in 7 passes
  138. Sat May 30 18:53:09 2026 max relations containing the same ideal: 139
  139. Sat May 30 18:53:33 2026 removing 7384549 relations and 5384549 ideals in 2000000 cliques
  140. Sat May 30 18:53:35 2026 commencing in-memory singleton removal
  141. Sat May 30 18:53:37 2026 begin with 79743579 relations and 77355210 unique ideals
  142. Sat May 30 18:53:46 2026 reduce to 79240772 relations and 71457850 ideals in 8 passes
  143. Sat May 30 18:53:46 2026 max relations containing the same ideal: 127
  144. Sat May 30 18:54:08 2026 removing 7415526 relations and 5415526 ideals in 2000000 cliques
  145. Sat May 30 18:54:10 2026 commencing in-memory singleton removal
  146. Sat May 30 18:54:12 2026 begin with 71825246 relations and 71457850 unique ideals
  147. Sat May 30 18:54:19 2026 reduce to 71264891 relations and 65469760 ideals in 7 passes
  148. Sat May 30 18:54:19 2026 max relations containing the same ideal: 118
  149. Sat May 30 18:54:39 2026 removing 7495531 relations and 5495531 ideals in 2000000 cliques
  150. Sat May 30 18:54:41 2026 commencing in-memory singleton removal
  151. Sat May 30 18:54:43 2026 begin with 63769360 relations and 65469760 unique ideals
  152. Sat May 30 18:54:50 2026 reduce to 63127244 relations and 59316519 ideals in 8 passes
  153. Sat May 30 18:54:50 2026 max relations containing the same ideal: 109
  154. Sat May 30 18:55:08 2026 removing 7614516 relations and 5614516 ideals in 2000000 cliques
  155. Sat May 30 18:55:10 2026 commencing in-memory singleton removal
  156. Sat May 30 18:55:12 2026 begin with 55512728 relations and 59316519 unique ideals
  157. Sat May 30 18:55:18 2026 reduce to 54754605 relations and 52923021 ideals in 9 passes
  158. Sat May 30 18:55:18 2026 max relations containing the same ideal: 100
  159. Sat May 30 18:55:35 2026 removing 3834473 relations and 3024771 ideals in 809702 cliques
  160. Sat May 30 18:55:36 2026 commencing in-memory singleton removal
  161. Sat May 30 18:55:37 2026 begin with 50920132 relations and 52923021 unique ideals
  162. Sat May 30 18:55:42 2026 reduce to 50713881 relations and 49689338 ideals in 7 passes
  163. Sat May 30 18:55:42 2026 max relations containing the same ideal: 95
  164. Sat May 30 18:56:02 2026 relations with 0 large ideals: 73568
  165. Sat May 30 18:56:02 2026 relations with 1 large ideals: 9787
  166. Sat May 30 18:56:02 2026 relations with 2 large ideals: 117860
  167. Sat May 30 18:56:02 2026 relations with 3 large ideals: 860222
  168. Sat May 30 18:56:02 2026 relations with 4 large ideals: 3504293
  169. Sat May 30 18:56:02 2026 relations with 5 large ideals: 8530532
  170. Sat May 30 18:56:02 2026 relations with 6 large ideals: 14516946
  171. Sat May 30 18:56:02 2026 relations with 7+ large ideals: 23100673
  172. Sat May 30 18:56:02 2026 commencing 2-way merge
  173. Sat May 30 18:56:24 2026 reduce to 32049263 relation sets and 31024719 unique ideals
  174. Sat May 30 18:56:24 2026 commencing full merge
  175. Sat May 30 19:04:50 2026 memory use: 4166.5 MB
  176. Sat May 30 19:04:51 2026 found 15196964 cycles, need 15096919
  177. Sat May 30 19:04:54 2026 weight of 15096919 cycles is about 1510151345 (100.03/cycle)
  178. Sat May 30 19:04:55 2026 distribution of cycle lengths:
  179. Sat May 30 19:04:55 2026 1 relations: 1333345
  180. Sat May 30 19:04:55 2026 2 relations: 1259117
  181. Sat May 30 19:04:55 2026 3 relations: 1226705
  182. Sat May 30 19:04:55 2026 4 relations: 1198579
  183. Sat May 30 19:04:55 2026 5 relations: 1169299
  184. Sat May 30 19:04:55 2026 6 relations: 1123691
  185. Sat May 30 19:04:55 2026 7 relations: 1075353
  186. Sat May 30 19:04:55 2026 8 relations: 1005821
  187. Sat May 30 19:04:55 2026 9 relations: 921296
  188. Sat May 30 19:04:55 2026 10+ relations: 4783713
  189. Sat May 30 19:04:55 2026 heaviest cycle: 28 relations
  190. Sat May 30 19:04:57 2026 commencing cycle optimization
  191. Sat May 30 19:05:16 2026 start with 114356965 relations
  192. Sat May 30 19:07:53 2026 pruned 4160883 relations
  193. Sat May 30 19:07:53 2026 memory use: 3257.8 MB
  194. Sat May 30 19:07:53 2026 distribution of cycle lengths:
  195. Sat May 30 19:07:53 2026 1 relations: 1333345
  196. Sat May 30 19:07:53 2026 2 relations: 1282285
  197. Sat May 30 19:07:53 2026 3 relations: 1268702
  198. Sat May 30 19:07:53 2026 4 relations: 1237420
  199. Sat May 30 19:07:53 2026 5 relations: 1216614
  200. Sat May 30 19:07:53 2026 6 relations: 1166213
  201. Sat May 30 19:07:53 2026 7 relations: 1118227
  202. Sat May 30 19:07:53 2026 8 relations: 1041697
  203. Sat May 30 19:07:53 2026 9 relations: 949695
  204. Sat May 30 19:07:53 2026 10+ relations: 4482721
  205. Sat May 30 19:07:53 2026 heaviest cycle: 28 relations
  206. Sat May 30 19:08:07 2026 RelProcTime: 3366
  207. Sat May 30 19:08:07 2026
  208. Sat May 30 19:08:07 2026 commencing linear algebra
  209. Sat May 30 19:08:07 2026 using VBITS=64
  210. Sat May 30 19:08:08 2026 read 15096919 cycles
  211. Sat May 30 19:08:24 2026 cycles contain 50056477 unique relations
  212. Sat May 30 19:13:07 2026 read 50056477 relations
  213. Sat May 30 19:13:35 2026 using 20 quadratic characters above 4294917295
  214. Sat May 30 19:13:55 2026 building initial matrix
  215. Sat May 30 19:20:05 2026 memory use: 6214.0 MB
  216. Sat May 30 19:20:19 2026 read 15096919 cycles
  217. Sat May 30 19:20:20 2026 matrix is 15096741 x 15096919 (6106.1 MB) with weight 1738453166 (115.15/col)
  218. Sat May 30 19:20:20 2026 sparse part has weight 1434604651 (95.03/col)
  219. Sat May 30 19:22:01 2026 filtering completed in 2 passes
  220. Sat May 30 19:22:04 2026 matrix is 15095314 x 15095488 (6106.0 MB) with weight 1738408050 (115.16/col)
  221. Sat May 30 19:22:04 2026 sparse part has weight 1434588411 (95.03/col)
  222. Sat May 30 19:22:27 2026 matrix starts at (0, 0)
  223. Sat May 30 19:22:27 2026 matrix is 15095314 x 15095488 (6106.0 MB) with weight 1738408050 (115.16/col)
  224. Sat May 30 19:22:27 2026 sparse part has weight 1434588411 (95.03/col)
  225. Sat May 30 19:22:27 2026 saving the first 48 matrix rows for later
  226. Sat May 30 19:22:29 2026 matrix includes 64 packed rows
  227. Sat May 30 19:22:30 2026 matrix is 15095266 x 15095488 (5855.7 MB) with weight 1477491023 (97.88/col)
  228. Sat May 30 19:22:30 2026 sparse part has weight 1384079705 (91.69/col)
  229. Sat May 30 19:22:30 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  230. Sat May 30 19:22:30 2026 selected card has CUDA arch 8.6
  231. Sat May 30 19:32:52 2026 commencing Lanczos iteration
  232. Sat May 30 19:32:53 2026 memory use: 11596.2 MB
  233. Sat May 30 19:39:08 2026 checking every 10000 dimensions, checkpointing every 190000 dimensions
  234. Sat May 30 19:42:44 2026 linear algebra at 0.2%, ETA 81h16m
  235. Wed Jun 3 04:43:28 2026 lanczos halted after 238706 iterations (dim = 15095262)
  236. Wed Jun 3 04:43:41 2026 recovered 33 nontrivial dependencies
  237. Wed Jun 3 04:43:44 2026 BLanczosTime: 293737
  238. Wed Jun 3 04:43:44 2026
  239. Wed Jun 3 04:43:44 2026 commencing square root phase
  240. Wed Jun 3 04:43:44 2026 handling dependencies 1 to 64
  241. Wed Jun 3 04:43:44 2026 reading relations for dependency 1
  242. Wed Jun 3 04:45:07 2026 read 7548991 cycles
  243. Wed Jun 3 04:45:21 2026 cycles contain 25036232 unique relations
  244. Wed Jun 3 04:47:38 2026 read 25036232 relations
  245. Wed Jun 3 04:50:12 2026 multiplying 25036232 relations
  246. Wed Jun 3 04:51:25 2026 multiply complete, coefficients have about 654.70 million bits
  247. Wed Jun 3 04:51:26 2026 initial square root is modulo 747673
  248. Wed Jun 3 04:53:30 2026 found factor: 254520154946528630592014324740823858113754934180464466832292069486807278472095791742938859617249555471099982139299345441
  249. Wed Jun 3 04:53:30 2026 reading relations for dependency 2
  250. Wed Jun 3 04:53:31 2026 read 7546626 cycles
  251. Wed Jun 3 04:53:38 2026 cycles contain 25029192 unique relations
  252. Wed Jun 3 04:54:27 2026 read 25029192 relations
  253. Wed Jun 3 04:55:20 2026 multiplying 25029192 relations
  254. Wed Jun 3 04:56:33 2026 multiply complete, coefficients have about 654.52 million bits
  255. Wed Jun 3 04:56:34 2026 initial square root is modulo 744823
  256. Wed Jun 3 04:58:36 2026 sqrtTime: 892
  257. Wed Jun 3 04:58:36 2026 p58 factor: 8528922323148561905244606962101453022986914257564903313607
  258. Wed Jun 3 04:58:36 2026 p62 factor: 29842006446198847068341998953357172855856549768990048681032663
  259. Wed Jun 3 04:58:36 2026 p122 factor: 64447546061788168756204143269151778662002945896486279783076472053865711569832676659277694079588785789188364359854110758417
  260. Wed Jun 3 04:58:36 2026 elapsed time 82:46:35
  261.  
Tags: math
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