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kyleaskine
May 1st, 2026
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  1. Thu Apr 30 20:06:52 2026
  2. Thu Apr 30 20:06:52 2026
  3. Thu Apr 30 20:06:52 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Apr 30 20:06:52 2026 random seeds: e39d1b96 e8303316
  5. Thu Apr 30 20:06:52 2026 Using 12 OpenMP threads
  6. Thu Apr 30 20:06:52 2026 factoring 14814415940821068948705144910018734772337655188528748235208331337199455153762967775030914409848935407766439499195974727134315235577907340620087942088960155160855799790424481985910566980067283399864823136369779243659798753436691078688498571840778822590279687 (257 digits)
  7. Thu Apr 30 20:06:52 2026 no P-1/P+1/ECM available, skipping
  8. Thu Apr 30 20:06:52 2026 commencing number field sieve (257-digit input)
  9. Thu Apr 30 20:06:52 2026 R0: 1
  10. Thu Apr 30 20:06:52 2026 R1: -96071916709164678401272561476612396091689137
  11. Thu Apr 30 20:06:52 2026 A0: -2417
  12. Thu Apr 30 20:06:52 2026 A1: 0
  13. Thu Apr 30 20:06:52 2026 A2: 0
  14. Thu Apr 30 20:06:52 2026 A3: 0
  15. Thu Apr 30 20:06:52 2026 A4: 0
  16. Thu Apr 30 20:06:52 2026 A5: 0
  17. Thu Apr 30 20:06:52 2026 A6: 1
  18. Thu Apr 30 20:06:52 2026 skew 2.82, size 3.194e-13, alpha 0.066, combined = 4.965e-14 rroots = 2
  19. Thu Apr 30 20:06:52 2026
  20. Thu Apr 30 20:06:52 2026 commencing relation filtering
  21. Thu Apr 30 20:06:52 2026 setting 2 target densities:Thu Apr 30 20:06:52 2026 80Thu Apr 30 20:06:52 2026 100Thu Apr 30 20:06:52 2026
  22. Thu Apr 30 20:06:52 2026 estimated available RAM is 78540.1 MB
  23. Thu Apr 30 20:06:52 2026 commencing duplicate removal, pass 1
  24. Thu Apr 30 20:07:14 2026 error -1 reading relation 24558515
  25. Thu Apr 30 20:07:15 2026 error -1 reading relation 26680588
  26. Thu Apr 30 20:07:20 2026 error -1 reading relation 32655014
  27. Thu Apr 30 20:07:43 2026 error -1 reading relation 66246897
  28. Thu Apr 30 20:07:53 2026 error -1 reading relation 82170428
  29. Thu Apr 30 20:07:53 2026 error -1 reading relation 82172180
  30. Thu Apr 30 20:07:54 2026 error -1 reading relation 82684565
  31. Thu Apr 30 20:07:56 2026 error -1 reading relation 84702830
  32. Thu Apr 30 20:08:23 2026 error -1 reading relation 121604950
  33. Thu Apr 30 20:08:38 2026 error -1 reading relation 139866472
  34. Thu Apr 30 20:08:40 2026 error -1 reading relation 141963113
  35. Thu Apr 30 20:08:50 2026 error -1 reading relation 156292922
  36. Thu Apr 30 20:08:54 2026 error -1 reading relation 160111443
  37. Thu Apr 30 20:08:58 2026 error -1 reading relation 164293223
  38. Thu Apr 30 20:09:02 2026 error -1 reading relation 169297100
  39. Thu Apr 30 20:09:04 2026 error -1 reading relation 171380682
  40. Thu Apr 30 20:09:05 2026 error -1 reading relation 172650490
  41. Thu Apr 30 20:09:06 2026 error -1 reading relation 172810362
  42. Thu Apr 30 20:09:06 2026 error -1 reading relation 173011765
  43. Thu Apr 30 20:09:07 2026 error -1 reading relation 174147032
  44. Thu Apr 30 20:09:08 2026 error -1 reading relation 175428033
  45. Thu Apr 30 20:09:08 2026 error -1 reading relation 176033835
  46. Thu Apr 30 20:09:13 2026 error -1 reading relation 182179134
  47. Thu Apr 30 20:09:29 2026 error -1 reading relation 205204115
  48. Thu Apr 30 20:09:31 2026 error -1 reading relation 208602194
  49. Thu Apr 30 20:09:40 2026 error -1 reading relation 219742714
  50. Thu Apr 30 20:09:41 2026 error -1 reading relation 220939169
  51. Thu Apr 30 20:09:42 2026 error -1 reading relation 221823785
  52. Thu Apr 30 20:09:44 2026 error -1 reading relation 224179538
  53. Thu Apr 30 20:09:47 2026 error -1 reading relation 228647040
  54. Thu Apr 30 20:09:59 2026 error -1 reading relation 248335962
  55. Thu Apr 30 20:10:00 2026 error -1 reading relation 249079397
  56. Thu Apr 30 20:10:04 2026 error -1 reading relation 253643736
  57. Thu Apr 30 20:10:04 2026 error -1 reading relation 253669183
  58. Thu Apr 30 20:10:06 2026 error -11 reading relation 255169900
  59. Thu Apr 30 20:10:11 2026 error -1 reading relation 261086881
  60. Thu Apr 30 20:10:14 2026 error -1 reading relation 265052956
  61. Thu Apr 30 20:10:21 2026 error -1 reading relation 278406080
  62. Thu Apr 30 20:10:38 2026 error -1 reading relation 299051476
  63. Thu Apr 30 20:10:41 2026 error -1 reading relation 303417008
  64. Thu Apr 30 20:10:45 2026 error -1 reading relation 308113850
  65. Thu Apr 30 20:10:45 2026 error -1 reading relation 308567173
  66. Thu Apr 30 20:10:46 2026 error -15 reading relation 309272516
  67. Thu Apr 30 20:10:46 2026 error -15 reading relation 309375956
  68. Thu Apr 30 20:10:46 2026 error -1 reading relation 309492500
  69. Thu Apr 30 20:10:46 2026 error -1 reading relation 309534964
  70. Thu Apr 30 20:10:49 2026 error -1 reading relation 312316145
  71. Thu Apr 30 20:10:55 2026 error -1 reading relation 323572627
  72. Thu Apr 30 20:10:59 2026 error -1 reading relation 328072156
  73. Thu Apr 30 20:11:01 2026 error -1 reading relation 329933800
  74. Thu Apr 30 20:11:06 2026 error -1 reading relation 335737289
  75. Thu Apr 30 20:11:11 2026 error -1 reading relation 339802754
  76. Thu Apr 30 20:11:11 2026 error -1 reading relation 340086292
  77. Thu Apr 30 20:11:13 2026 error -1 reading relation 341748745
  78. Thu Apr 30 20:11:14 2026 skipped 332 relations with b > 2^32
  79. Thu Apr 30 20:11:14 2026 skipped 1 relations with composite factors
  80. Thu Apr 30 20:11:14 2026 skipped 458 malformed relations
  81. Thu Apr 30 20:11:14 2026 found 69585700 hash collisions in 343278387 relations
  82. Thu Apr 30 20:11:18 2026 added 1218918 free relations
  83. Thu Apr 30 20:11:18 2026 commencing duplicate removal, pass 2
  84. Thu Apr 30 20:13:14 2026 found 71890863 duplicates and 272606442 unique relations
  85. Thu Apr 30 20:13:14 2026 memory use: 1705.5 MB
  86. Thu Apr 30 20:13:14 2026 reading ideals above 720000
  87. Thu Apr 30 20:13:14 2026 commencing singleton removal, initial pass
  88. Thu Apr 30 20:23:00 2026 memory use: 6024.0 MB
  89. Thu Apr 30 20:23:01 2026 reading all ideals from disk
  90. Thu Apr 30 20:23:22 2026 memory use: 13490.6 MB
  91. Thu Apr 30 20:23:59 2026 keeping 254188361 ideals with weight <= 200, target excess is 1417754
  92. Thu Apr 30 20:24:19 2026 commencing in-memory singleton removal
  93. Thu Apr 30 20:24:23 2026 begin with 272606442 relations and 254188361 unique ideals
  94. Thu Apr 30 20:24:47 2026 reduce to 176688148 relations and 149014042 ideals in 15 passes
  95. Thu Apr 30 20:24:47 2026 max relations containing the same ideal: 163
  96. Thu Apr 30 20:25:28 2026 removing 12278244 relations and 10278244 ideals in 2000000 cliques
  97. Thu Apr 30 20:25:32 2026 commencing in-memory singleton removal
  98. Thu Apr 30 20:25:34 2026 begin with 164409904 relations and 149014042 unique ideals
  99. Thu Apr 30 20:25:44 2026 reduce to 163730071 relations and 138045906 ideals in 8 passes
  100. Thu Apr 30 20:25:44 2026 max relations containing the same ideal: 152
  101. Thu Apr 30 20:26:25 2026 removing 9416346 relations and 7416346 ideals in 2000000 cliques
  102. Thu Apr 30 20:26:28 2026 commencing in-memory singleton removal
  103. Thu Apr 30 20:26:27 2026 begin with 154313725 relations and 138045906 unique ideals
  104. Thu Apr 30 20:26:36 2026 reduce to 153862682 relations and 130172803 ideals in 8 passes
  105. Thu Apr 30 20:26:36 2026 max relations containing the same ideal: 145
  106. Thu Apr 30 20:27:14 2026 removing 8538725 relations and 6538725 ideals in 2000000 cliques
  107. Thu Apr 30 20:27:17 2026 commencing in-memory singleton removal
  108. Thu Apr 30 20:27:19 2026 begin with 145323957 relations and 130172803 unique ideals
  109. Thu Apr 30 20:27:26 2026 reduce to 144923560 relations and 123228458 ideals in 7 passes
  110. Thu Apr 30 20:27:26 2026 max relations containing the same ideal: 139
  111. Thu Apr 30 20:27:58 2026 removing 8088660 relations and 6088660 ideals in 2000000 cliques
  112. Thu Apr 30 20:28:01 2026 commencing in-memory singleton removal
  113. Thu Apr 30 20:28:03 2026 begin with 136834900 relations and 123228458 unique ideals
  114. Thu Apr 30 20:28:10 2026 reduce to 136455945 relations and 116756004 ideals in 7 passes
  115. Thu Apr 30 20:28:10 2026 max relations containing the same ideal: 136
  116. Thu Apr 30 20:28:43 2026 removing 7810693 relations and 5810693 ideals in 2000000 cliques
  117. Thu Apr 30 20:28:45 2026 commencing in-memory singleton removal
  118. Thu Apr 30 20:28:47 2026 begin with 128645252 relations and 116756004 unique ideals
  119. Thu Apr 30 20:28:53 2026 reduce to 128272104 relations and 110567022 ideals in 7 passes
  120. Thu Apr 30 20:28:53 2026 max relations containing the same ideal: 130
  121. Thu Apr 30 20:29:22 2026 removing 7638517 relations and 5638517 ideals in 2000000 cliques
  122. Thu Apr 30 20:29:24 2026 commencing in-memory singleton removal
  123. Thu Apr 30 20:29:26 2026 begin with 120633587 relations and 110567022 unique ideals
  124. Thu Apr 30 20:29:32 2026 reduce to 120256574 relations and 104546181 ideals in 7 passes
  125. Thu Apr 30 20:29:32 2026 max relations containing the same ideal: 126
  126. Thu Apr 30 20:30:01 2026 removing 7522696 relations and 5522696 ideals in 2000000 cliques
  127. Thu Apr 30 20:30:04 2026 commencing in-memory singleton removal
  128. Thu Apr 30 20:30:05 2026 begin with 112733878 relations and 104546181 unique ideals
  129. Thu Apr 30 20:30:11 2026 reduce to 112348107 relations and 98631893 ideals in 7 passes
  130. Thu Apr 30 20:30:11 2026 max relations containing the same ideal: 119
  131. Thu Apr 30 20:30:39 2026 removing 7457879 relations and 5457879 ideals in 2000000 cliques
  132. Thu Apr 30 20:30:41 2026 commencing in-memory singleton removal
  133. Thu Apr 30 20:30:43 2026 begin with 104890228 relations and 98631893 unique ideals
  134. Thu Apr 30 20:30:49 2026 reduce to 104487913 relations and 92765510 ideals in 8 passes
  135. Thu Apr 30 20:30:49 2026 max relations containing the same ideal: 114
  136. Thu Apr 30 20:31:14 2026 removing 7427429 relations and 5427429 ideals in 2000000 cliques
  137. Thu Apr 30 20:31:16 2026 commencing in-memory singleton removal
  138. Thu Apr 30 20:31:17 2026 begin with 97060484 relations and 92765510 unique ideals
  139. Thu Apr 30 20:31:20 2026 reduce to 96636378 relations and 86906834 ideals in 8 passes
  140. Thu Apr 30 20:31:20 2026 max relations containing the same ideal: 109
  141. Thu Apr 30 20:31:47 2026 removing 7422293 relations and 5422293 ideals in 2000000 cliques
  142. Thu Apr 30 20:31:50 2026 commencing in-memory singleton removal
  143. Thu Apr 30 20:31:51 2026 begin with 89214085 relations and 86906834 unique ideals
  144. Thu Apr 30 20:31:52 2026 reduce to 88759686 relations and 81021890 ideals in 7 passes
  145. Thu Apr 30 20:31:52 2026 max relations containing the same ideal: 103
  146. Thu Apr 30 20:32:17 2026 removing 7449589 relations and 5449589 ideals in 2000000 cliques
  147. Thu Apr 30 20:32:20 2026 commencing in-memory singleton removal
  148. Thu Apr 30 20:32:18 2026 begin with 81310097 relations and 81021890 unique ideals
  149. Thu Apr 30 20:32:22 2026 reduce to 80812625 relations and 75065225 ideals in 8 passes
  150. Thu Apr 30 20:32:22 2026 max relations containing the same ideal: 96
  151. Thu Apr 30 20:32:45 2026 removing 7497684 relations and 5497684 ideals in 2000000 cliques
  152. Thu Apr 30 20:32:47 2026 commencing in-memory singleton removal
  153. Thu Apr 30 20:32:48 2026 begin with 73314941 relations and 75065225 unique ideals
  154. Thu Apr 30 20:32:49 2026 reduce to 72762861 relations and 69003630 ideals in 7 passes
  155. Thu Apr 30 20:32:49 2026 max relations containing the same ideal: 90
  156. Thu Apr 30 20:33:10 2026 removing 7577042 relations and 5577042 ideals in 2000000 cliques
  157. Thu Apr 30 20:33:12 2026 commencing in-memory singleton removal
  158. Thu Apr 30 20:33:13 2026 begin with 65185819 relations and 69003630 unique ideals
  159. Thu Apr 30 20:33:17 2026 reduce to 64557783 relations and 62783811 ideals in 9 passes
  160. Thu Apr 30 20:33:17 2026 max relations containing the same ideal: 86
  161. Thu Apr 30 20:33:33 2026 removing 810461 relations and 681084 ideals in 129377 cliques
  162. Thu Apr 30 20:33:34 2026 commencing in-memory singleton removal
  163. Thu Apr 30 20:33:35 2026 begin with 63747322 relations and 62783811 unique ideals
  164. Thu Apr 30 20:33:37 2026 reduce to 63740832 relations and 62096227 ideals in 6 passes
  165. Thu Apr 30 20:33:37 2026 max relations containing the same ideal: 86
  166. Thu Apr 30 20:33:39 2026 trying target density 80
  167. Thu Apr 30 20:33:44 2026 relations with 0 large ideals: 50461
  168. Thu Apr 30 20:33:44 2026 relations with 1 large ideals: 21569
  169. Thu Apr 30 20:33:44 2026 relations with 2 large ideals: 297238
  170. Thu Apr 30 20:33:44 2026 relations with 3 large ideals: 1875396
  171. Thu Apr 30 20:33:44 2026 relations with 4 large ideals: 6437422
  172. Thu Apr 30 20:33:44 2026 relations with 5 large ideals: 13232005
  173. Thu Apr 30 20:33:44 2026 relations with 6 large ideals: 17016703
  174. Thu Apr 30 20:33:44 2026 relations with 7+ large ideals: 24810038
  175. Thu Apr 30 20:33:44 2026 commencing 2-way merge
  176. Thu Apr 30 20:34:11 2026 reduce to 41438515 relation sets and 39793910 unique ideals
  177. Thu Apr 30 20:34:11 2026 commencing full merge
  178. Thu Apr 30 20:41:26 2026 memory use: 4957.1 MB
  179. Thu Apr 30 20:41:29 2026 found 21527469 cycles, need 21302110
  180. Thu Apr 30 20:41:34 2026 weight of 21302110 cycles is about 1704582045 (80.02/cycle)
  181. Thu Apr 30 20:41:34 2026 distribution of cycle lengths:
  182. Thu Apr 30 20:41:34 2026 1 relations: 2378777
  183. Thu Apr 30 20:41:34 2026 2 relations: 2388447
  184. Thu Apr 30 20:41:34 2026 3 relations: 2378225
  185. Thu Apr 30 20:41:34 2026 4 relations: 2235469
  186. Thu Apr 30 20:41:34 2026 5 relations: 2117823
  187. Thu Apr 30 20:41:34 2026 6 relations: 1914044
  188. Thu Apr 30 20:41:34 2026 7 relations: 1704946
  189. Thu Apr 30 20:41:34 2026 8 relations: 1466287
  190. Thu Apr 30 20:41:34 2026 9 relations: 1220522
  191. Thu Apr 30 20:41:34 2026 10+ relations: 3497570
  192. Thu Apr 30 20:41:34 2026 heaviest cycle: 21 relations
  193. Thu Apr 30 20:41:35 2026 commencing cycle optimization
  194. Thu Apr 30 20:42:02 2026 start with 121955049 relations
  195. Thu Apr 30 20:44:02 2026 pruned 3372088 relations
  196. Thu Apr 30 20:44:03 2026 memory use: 3876.2 MB
  197. Thu Apr 30 20:44:03 2026 distribution of cycle lengths:
  198. Thu Apr 30 20:44:03 2026 1 relations: 2378777
  199. Thu Apr 30 20:44:03 2026 2 relations: 2438905
  200. Thu Apr 30 20:44:03 2026 3 relations: 2465011
  201. Thu Apr 30 20:44:03 2026 4 relations: 2302627
  202. Thu Apr 30 20:44:03 2026 5 relations: 2184476
  203. Thu Apr 30 20:44:03 2026 6 relations: 1960181
  204. Thu Apr 30 20:44:03 2026 7 relations: 1741125
  205. Thu Apr 30 20:44:03 2026 8 relations: 1476803
  206. Thu Apr 30 20:44:03 2026 9 relations: 1212201
  207. Thu Apr 30 20:44:03 2026 10+ relations: 3142004
  208. Thu Apr 30 20:44:03 2026 heaviest cycle: 21 relations
  209. Thu Apr 30 20:44:28 2026 trying target density 100
  210. Thu Apr 30 20:44:33 2026 relations with 0 large ideals: 50461
  211. Thu Apr 30 20:44:33 2026 relations with 1 large ideals: 21569
  212. Thu Apr 30 20:44:33 2026 relations with 2 large ideals: 297238
  213. Thu Apr 30 20:44:33 2026 relations with 3 large ideals: 1875396
  214. Thu Apr 30 20:44:33 2026 relations with 4 large ideals: 6437422
  215. Thu Apr 30 20:44:33 2026 relations with 5 large ideals: 13232005
  216. Thu Apr 30 20:44:33 2026 relations with 6 large ideals: 17016703
  217. Thu Apr 30 20:44:33 2026 relations with 7+ large ideals: 24810038
  218. Thu Apr 30 20:44:33 2026 commencing 2-way merge
  219. Thu Apr 30 20:44:56 2026 reduce to 41438515 relation sets and 39793910 unique ideals
  220. Thu Apr 30 20:44:56 2026 commencing full merge
  221. Thu Apr 30 20:54:16 2026 memory use: 5142.6 MB
  222. Thu Apr 30 20:54:19 2026 found 19924439 cycles, need 19720110
  223. Thu Apr 30 20:54:21 2026 weight of 19720110 cycles is about 1972333356 (100.02/cycle)
  224. Thu Apr 30 20:54:21 2026 distribution of cycle lengths:
  225. Thu Apr 30 20:54:21 2026 1 relations: 1557971
  226. Thu Apr 30 20:54:21 2026 2 relations: 1711318
  227. Thu Apr 30 20:54:21 2026 3 relations: 1766335
  228. Thu Apr 30 20:54:21 2026 4 relations: 1727447
  229. Thu Apr 30 20:54:21 2026 5 relations: 1686216
  230. Thu Apr 30 20:54:21 2026 6 relations: 1588441
  231. Thu Apr 30 20:54:21 2026 7 relations: 1501216
  232. Thu Apr 30 20:54:21 2026 8 relations: 1374976
  233. Thu Apr 30 20:54:21 2026 9 relations: 1233670
  234. Thu Apr 30 20:54:21 2026 10+ relations: 5572520
  235. Thu Apr 30 20:54:21 2026 heaviest cycle: 26 relations
  236. Thu Apr 30 20:54:25 2026 commencing cycle optimization
  237. Thu Apr 30 20:54:51 2026 start with 141313294 relations
  238. Thu Apr 30 20:57:57 2026 pruned 5113868 relations
  239. Thu Apr 30 20:57:57 2026 memory use: 4083.5 MB
  240. Thu Apr 30 20:57:57 2026 distribution of cycle lengths:
  241. Thu Apr 30 20:57:58 2026 1 relations: 1557971
  242. Thu Apr 30 20:57:58 2026 2 relations: 1750517
  243. Thu Apr 30 20:57:58 2026 3 relations: 1837618
  244. Thu Apr 30 20:57:58 2026 4 relations: 1790414
  245. Thu Apr 30 20:57:58 2026 5 relations: 1756153
  246. Thu Apr 30 20:57:58 2026 6 relations: 1647859
  247. Thu Apr 30 20:57:58 2026 7 relations: 1556944
  248. Thu Apr 30 20:57:58 2026 8 relations: 1414382
  249. Thu Apr 30 20:57:58 2026 9 relations: 1261705
  250. Thu Apr 30 20:57:58 2026 10+ relations: 5146547
  251. Thu Apr 30 20:57:58 2026 heaviest cycle: 25 relations
  252. Thu Apr 30 20:58:19 2026 RelProcTime: 3087
  253. Thu Apr 30 20:58:19 2026
  254. Thu Apr 30 20:58:19 2026 commencing linear algebra
  255. Thu Apr 30 20:58:19 2026 using VBITS=256
  256. Thu Apr 30 20:58:19 2026 building matrices for all densities
  257. Thu Apr 30 20:58:19 2026 found 2 density files
  258. Thu Apr 30 20:58:19 2026 building matrix for density 80
  259. Thu Apr 30 20:58:20 2026 read 21302110 cycles
  260. Thu Apr 30 20:58:42 2026 cycles contain 62822014 unique relations
  261. Thu Apr 30 20:59:30 2026 read 62822014 relations
  262. Thu Apr 30 20:59:43 2026 using 20 quadratic characters above 4294917295
  263. Thu Apr 30 20:59:55 2026 building initial matrix
  264. Thu Apr 30 21:07:05 2026 memory use: 8385.6 MB
  265. Thu Apr 30 21:07:11 2026 read 21302110 cycles
  266. Thu Apr 30 21:07:13 2026 matrix is 21301929 x 21302110 (7187.2 MB) with weight 2083466364 (97.81/col)
  267. Thu Apr 30 21:07:13 2026 sparse part has weight 1649766319 (77.45/col)
  268. Thu Apr 30 21:09:24 2026 filtering completed in 2 passes
  269. Thu Apr 30 21:09:27 2026 matrix is 21296903 x 21297075 (7186.9 MB) with weight 2083327217 (97.82/col)
  270. Thu Apr 30 21:09:27 2026 sparse part has weight 1649725357 (77.46/col)
  271. Thu Apr 30 21:09:53 2026 building matrix for density 100
  272. Thu Apr 30 21:09:54 2026 read 19720110 cycles
  273. Thu Apr 30 21:10:14 2026 cycles contain 62840734 unique relations
  274. Thu Apr 30 21:10:42 2026 read 62840734 relations
  275. Thu Apr 30 21:10:54 2026 using 20 quadratic characters above 4294917295
  276. Thu Apr 30 21:11:07 2026 building initial matrix
  277. Thu Apr 30 21:19:10 2026 memory use: 8094.0 MB
  278. Thu Apr 30 21:19:13 2026 read 19720110 cycles
  279. Thu Apr 30 21:19:15 2026 matrix is 19719931 x 19720110 (7999.8 MB) with weight 2305237741 (116.90/col)
  280. Thu Apr 30 21:19:15 2026 sparse part has weight 1880166831 (95.34/col)
  281. Thu Apr 30 21:21:15 2026 filtering completed in 2 passes
  282. Thu Apr 30 21:21:19 2026 matrix is 19717601 x 19717772 (7999.6 MB) with weight 2305159854 (116.91/col)
  283. Thu Apr 30 21:21:19 2026 sparse part has weight 1880139238 (95.35/col)
  284. Thu Apr 30 21:21:50 2026 BLanczosTime: 1411
  285. Thu Apr 30 21:21:50 2026 elapsed time 01:14:58
  286. Thu Apr 30 21:34:11 2026
  287. Thu Apr 30 21:34:11 2026
  288. Thu Apr 30 21:34:11 2026 Msieve v. 1.54 (SVN unknown)
  289. Thu Apr 30 21:34:11 2026 random seeds: 08156dde 485f30af
  290. Thu Apr 30 21:34:11 2026 Using 6 OpenMP threads
  291. Thu Apr 30 21:34:11 2026 factoring 14814415940821068948705144910018734772337655188528748235208331337199455153762967775030914409848935407766439499195974727134315235577907340620087942088960155160855799790424481985910566980067283399864823136369779243659798753436691078688498571840778822590279687 (257 digits)
  292. Thu Apr 30 21:34:12 2026 no P-1/P+1/ECM available, skipping
  293. Thu Apr 30 21:34:12 2026 commencing number field sieve (257-digit input)
  294. Thu Apr 30 21:34:12 2026 R0: 1
  295. Thu Apr 30 21:34:12 2026 R1: -96071916709164678401272561476612396091689137
  296. Thu Apr 30 21:34:12 2026 A0: -2417
  297. Thu Apr 30 21:34:12 2026 A1: 0
  298. Thu Apr 30 21:34:12 2026 A2: 0
  299. Thu Apr 30 21:34:12 2026 A3: 0
  300. Thu Apr 30 21:34:12 2026 A4: 0
  301. Thu Apr 30 21:34:12 2026 A5: 0
  302. Thu Apr 30 21:34:12 2026 A6: 1
  303. Thu Apr 30 21:34:12 2026 skew 2.82, size 3.194e-13, alpha 0.066, combined = 4.965e-14 rroots = 2
  304. Thu Apr 30 21:34:12 2026
  305. Thu Apr 30 21:34:12 2026 commencing linear algebra
  306. Thu Apr 30 21:34:12 2026 using VBITS=256
  307. Thu Apr 30 21:34:12 2026 skipping matrix build
  308. Thu Apr 30 21:34:28 2026 matrix starts at (0, 0)
  309. Thu Apr 30 21:34:32 2026 matrix is 21296903 x 21297075 (7186.9 MB) with weight 2083327217 (97.82/col)
  310. Thu Apr 30 21:34:32 2026 sparse part has weight 1649725357 (77.46/col)
  311. Thu Apr 30 21:34:32 2026 saving the first 240 matrix rows for later
  312. Thu Apr 30 21:34:38 2026 matrix includes 256 packed rows
  313. Thu Apr 30 21:34:48 2026 matrix is 21296663 x 21297075 (6680.0 MB) with weight 1486774254 (69.81/col)
  314. Thu Apr 30 21:34:48 2026 sparse part has weight 1410357462 (66.22/col)
  315. Thu Apr 30 21:34:48 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  316. Thu Apr 30 21:34:48 2026 selected card has CUDA arch 12.0
  317. Thu Apr 30 21:50:51 2026 commencing Lanczos iteration
  318. Thu Apr 30 21:50:51 2026 memory use: 16122.1 MB
  319. Thu Apr 30 21:52:48 2026 linear algebra at 0.1%, ETA 22h10m
  320. Thu Apr 30 21:55:24 2026 checking every 10000 dimensions, checkpointing every 1030000 dimensions
  321. Fri May 1 17:52:15 2026 lanczos halted after 83441 iterations (dim = 21296658)
  322. Fri May 1 17:55:03 2026 recovered 29 nontrivial dependencies
  323. Fri May 1 17:55:08 2026 BLanczosTime: 73256
  324. Fri May 1 17:55:08 2026 elapsed time 20:20:57
  325. Fri May 1 17:56:50 2026
  326. Fri May 1 17:56:50 2026
  327. Fri May 1 17:56:50 2026 Msieve v. 1.54 (SVN unknown)
  328. Fri May 1 17:56:50 2026 random seeds: 8c54eaf4 53a9c1f0
  329. Fri May 1 17:56:50 2026 Using 8 OpenMP threads
  330. Fri May 1 17:56:50 2026 factoring 14814415940821068948705144910018734772337655188528748235208331337199455153762967775030914409848935407766439499195974727134315235577907340620087942088960155160855799790424481985910566980067283399864823136369779243659798753436691078688498571840778822590279687 (257 digits)
  331. Fri May 1 17:56:52 2026 no P-1/P+1/ECM available, skipping
  332. Fri May 1 17:56:52 2026 commencing number field sieve (257-digit input)
  333. Fri May 1 17:56:52 2026 R0: 1
  334. Fri May 1 17:56:52 2026 R1: -96071916709164678401272561476612396091689137
  335. Fri May 1 17:56:52 2026 A0: -2417
  336. Fri May 1 17:56:52 2026 A1: 0
  337. Fri May 1 17:56:52 2026 A2: 0
  338. Fri May 1 17:56:52 2026 A3: 0
  339. Fri May 1 17:56:52 2026 A4: 0
  340. Fri May 1 17:56:52 2026 A5: 0
  341. Fri May 1 17:56:52 2026 A6: 1
  342. Fri May 1 17:56:52 2026 skew 2.82, size 3.194e-13, alpha 0.066, combined = 4.965e-14 rroots = 2
  343. Fri May 1 17:56:52 2026
  344. Fri May 1 17:56:52 2026 commencing square root phase
  345. Fri May 1 17:56:52 2026 reading relations for dependency 1
  346. Fri May 1 17:57:06 2026 read 10646483 cycles
  347. Fri May 1 17:57:42 2026 cycles contain 31407952 unique relations
  348. Fri May 1 18:07:43 2026 read 31407952 relations
  349. Fri May 1 18:13:57 2026 multiplying 31407952 relations
  350. Fri May 1 18:19:11 2026 multiply complete, coefficients have about 852.61 million bits
  351. Fri May 1 18:19:15 2026 initial square root is modulo 44587399
  352. Fri May 1 18:30:44 2026 sqrtTime: 2032
  353. Fri May 1 18:30:44 2026 p70 factor: 1011711873472946606787745668371469349712018272494321014665226270330777
  354. Fri May 1 18:30:44 2026 p188 factor: 14642919915496286422652739496987912162427093735760971711699124675922685952583230327148007869200721867603130609077220800187544848217028002513213978963222277968986388981233955907733185052831
  355. Fri May 1 18:30:44 2026 elapsed time 00:33:54
  356.  
Tags: math
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