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kyleaskine
Jul 8th, 2026
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  1. Tue Jul 7 19:36:23 2026
  2. Tue Jul 7 19:36:23 2026
  3. Tue Jul 7 19:36:23 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Jul 7 19:36:23 2026 random seeds: e011bef5 8a1ba488
  5. Tue Jul 7 19:36:23 2026 Using 8 OpenMP threads
  6. Tue Jul 7 19:36:23 2026 factoring 6493749498647860325311006373601228292015340189062211295404305542129201926137084246331205620626872293994695916859027216015628061843606874712086356946954051890652541267373506860394743 (181 digits)
  7. Tue Jul 7 19:36:23 2026 no P-1/P+1/ECM available, skipping
  8. Tue Jul 7 19:36:23 2026 commencing number field sieve (181-digit input)
  9. Tue Jul 7 19:36:23 2026 reversing signs of algebraic polynomial
  10. Tue Jul 7 19:36:23 2026 R0: -187905724890895080788420869559418494
  11. Tue Jul 7 19:36:23 2026 R1: 23158282496834356563823
  12. Tue Jul 7 19:36:23 2026 A0: -49705732828736832259269892631288078510632740
  13. Tue Jul 7 19:36:23 2026 A1: 16488231607600270226483388497079508935
  14. Tue Jul 7 19:36:23 2026 A2: -49536190324912380507385147884
  15. Tue Jul 7 19:36:23 2026 A3: -2707815849074340698017
  16. Tue Jul 7 19:36:23 2026 A4: 2326781108122
  17. Tue Jul 7 19:36:23 2026 A5: 55440
  18. Tue Jul 7 19:36:23 2026 skew 126167058.88, size 1.830e-17, alpha -8.281, combined = 1.065e-13 rroots = 5
  19. Tue Jul 7 19:36:23 2026
  20. Tue Jul 7 19:36:23 2026 commencing relation filtering
  21. Tue Jul 7 19:36:23 2026 setting 3 target densities:Tue Jul 7 19:36:23 2026 90Tue Jul 7 19:36:23 2026 110Tue Jul 7 19:36:23 2026 130Tue Jul 7 19:36:23 2026
  22. Tue Jul 7 19:36:23 2026 reversing signs of algebraic polynomial
  23. Tue Jul 7 19:36:23 2026 estimated available RAM is 78540.1 MB
  24. Tue Jul 7 19:36:23 2026 commencing duplicate removal, pass 1
  25. Tue Jul 7 19:39:19 2026 error -1 reading relation 55266193
  26. Tue Jul 7 19:42:11 2026 error -1 reading relation 110024349
  27. Tue Jul 7 19:42:43 2026 error -1 reading relation 120037248
  28. Tue Jul 7 19:45:27 2026 error -1 reading relation 171233054
  29. Tue Jul 7 19:46:05 2026 error -1 reading relation 183879004
  30. Tue Jul 7 19:46:23 2026 error -1 reading relation 189299829
  31. Tue Jul 7 19:47:32 2026 error -1 reading relation 211913276
  32. Tue Jul 7 19:48:44 2026 error -1 reading relation 233613190
  33. Tue Jul 7 19:50:23 2026 error -1 reading relation 264513212
  34. Tue Jul 7 19:50:21 2026 error -1 reading relation 264682974
  35. Tue Jul 7 19:50:26 2026 error -1 reading relation 265796719
  36. Tue Jul 7 19:51:12 2026 error -1 reading relation 279117554
  37. Tue Jul 7 19:51:30 2026 error -1 reading relation 284558283
  38. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059532
  39. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059533
  40. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059534
  41. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059535
  42. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059536
  43. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059537
  44. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059538
  45. Tue Jul 7 19:51:44 2026 error -1 reading relation 289059539
  46. Tue Jul 7 19:51:44 2026 error -1 reading relation 289084652
  47. Tue Jul 7 19:51:44 2026 error -1 reading relation 289133976
  48. Tue Jul 7 19:51:44 2026 error -1 reading relation 289144920
  49. Tue Jul 7 19:51:44 2026 error -1 reading relation 289144921
  50. Tue Jul 7 19:51:44 2026 error -1 reading relation 289156245
  51. Tue Jul 7 19:51:45 2026 error -1 reading relation 289180680
  52. Tue Jul 7 19:51:45 2026 error -1 reading relation 289206367
  53. Tue Jul 7 19:51:45 2026 error -1 reading relation 289219404
  54. Tue Jul 7 19:51:52 2026 error -1 reading relation 291428263
  55. Tue Jul 7 19:52:27 2026 error -1 reading relation 302077910
  56. Tue Jul 7 19:52:27 2026 error -1 reading relation 302077983
  57. Tue Jul 7 19:52:27 2026 error -1 reading relation 302081048
  58. Tue Jul 7 19:52:27 2026 error -1 reading relation 302082689
  59. Tue Jul 7 19:52:37 2026 error -1 reading relation 305055563
  60. Tue Jul 7 19:52:37 2026 error -1 reading relation 305055600
  61. Tue Jul 7 19:53:54 2026 error -1 reading relation 328900350
  62. Tue Jul 7 19:53:58 2026 skipped 181 malformed relations
  63. Tue Jul 7 19:53:58 2026 found 63760642 hash collisions in 330009031 relations
  64. Tue Jul 7 19:54:13 2026 added 121819 free relations
  65. Tue Jul 7 19:54:13 2026 commencing duplicate removal, pass 2
  66. Tue Jul 7 19:57:40 2026 found 65334994 duplicates and 264795856 unique relations
  67. Tue Jul 7 19:57:40 2026 memory use: 1705.5 MB
  68. Tue Jul 7 19:57:41 2026 reading ideals above 720000
  69. Tue Jul 7 19:57:41 2026 commencing singleton removal, initial pass
  70. Tue Jul 7 20:35:32 2026 memory use: 6024.0 MB
  71. Tue Jul 7 20:35:33 2026 reading all ideals from disk
  72. Tue Jul 7 20:36:15 2026 memory use: 12846.4 MB
  73. Tue Jul 7 20:37:44 2026 keeping 247264901 ideals with weight <= 200, target excess is 1370594
  74. Tue Jul 7 20:39:09 2026 commencing in-memory singleton removal
  75. Tue Jul 7 20:39:20 2026 begin with 264795856 relations and 247264901 unique ideals
  76. Tue Jul 7 20:41:10 2026 reduce to 164926221 relations and 137114895 ideals in 16 passes
  77. Tue Jul 7 20:41:10 2026 max relations containing the same ideal: 152
  78. Tue Jul 7 20:44:24 2026 removing 11989855 relations and 9989855 ideals in 2000000 cliques
  79. Tue Jul 7 20:44:33 2026 commencing in-memory singleton removal
  80. Tue Jul 7 20:44:40 2026 begin with 152936366 relations and 137114895 unique ideals
  81. Tue Jul 7 20:45:22 2026 reduce to 152265685 relations and 126443745 ideals in 8 passes
  82. Tue Jul 7 20:45:22 2026 max relations containing the same ideal: 145
  83. Tue Jul 7 20:48:18 2026 removing 9194562 relations and 7194562 ideals in 2000000 cliques
  84. Tue Jul 7 20:48:28 2026 commencing in-memory singleton removal
  85. Tue Jul 7 20:48:35 2026 begin with 143071123 relations and 126443745 unique ideals
  86. Tue Jul 7 20:49:13 2026 reduce to 142619611 relations and 118791435 ideals in 7 passes
  87. Tue Jul 7 20:49:13 2026 max relations containing the same ideal: 141
  88. Tue Jul 7 20:51:48 2026 removing 8350657 relations and 6350657 ideals in 2000000 cliques
  89. Tue Jul 7 20:51:54 2026 commencing in-memory singleton removal
  90. Tue Jul 7 20:51:57 2026 begin with 134268954 relations and 118791435 unique ideals
  91. Tue Jul 7 20:52:24 2026 reduce to 133865217 relations and 112031519 ideals in 9 passes
  92. Tue Jul 7 20:52:24 2026 max relations containing the same ideal: 136
  93. Tue Jul 7 20:53:57 2026 removing 7914911 relations and 5914911 ideals in 2000000 cliques
  94. Tue Jul 7 20:54:02 2026 commencing in-memory singleton removal
  95. Tue Jul 7 20:54:05 2026 begin with 125950306 relations and 112031519 unique ideals
  96. Tue Jul 7 20:54:31 2026 reduce to 125563549 relations and 105724382 ideals in 8 passes
  97. Tue Jul 7 20:54:31 2026 max relations containing the same ideal: 129
  98. Tue Jul 7 20:55:58 2026 removing 7654105 relations and 5654105 ideals in 2000000 cliques
  99. Tue Jul 7 20:56:02 2026 commencing in-memory singleton removal
  100. Tue Jul 7 20:56:05 2026 begin with 117909444 relations and 105724382 unique ideals
  101. Tue Jul 7 20:56:25 2026 reduce to 117525023 relations and 99680366 ideals in 7 passes
  102. Tue Jul 7 20:56:25 2026 max relations containing the same ideal: 123
  103. Tue Jul 7 20:57:48 2026 removing 7497430 relations and 5497430 ideals in 2000000 cliques
  104. Tue Jul 7 20:57:53 2026 commencing in-memory singleton removal
  105. Tue Jul 7 20:57:55 2026 begin with 110027593 relations and 99680366 unique ideals
  106. Tue Jul 7 20:58:15 2026 reduce to 109638472 relations and 93787732 ideals in 7 passes
  107. Tue Jul 7 20:58:15 2026 max relations containing the same ideal: 119
  108. Tue Jul 7 20:59:37 2026 removing 7401180 relations and 5401180 ideals in 2000000 cliques
  109. Tue Jul 7 20:59:39 2026 commencing in-memory singleton removal
  110. Tue Jul 7 20:59:41 2026 begin with 102237292 relations and 93787732 unique ideals
  111. Tue Jul 7 21:00:04 2026 reduce to 101832553 relations and 87975173 ideals in 9 passes
  112. Tue Jul 7 21:00:04 2026 max relations containing the same ideal: 113
  113. Tue Jul 7 21:01:20 2026 removing 7348915 relations and 5348915 ideals in 2000000 cliques
  114. Tue Jul 7 21:01:22 2026 commencing in-memory singleton removal
  115. Tue Jul 7 21:01:25 2026 begin with 94483638 relations and 87975173 unique ideals
  116. Tue Jul 7 21:01:39 2026 reduce to 94055485 relations and 82190645 ideals in 8 passes
  117. Tue Jul 7 21:01:39 2026 max relations containing the same ideal: 107
  118. Tue Jul 7 21:02:36 2026 removing 7338066 relations and 5338066 ideals in 2000000 cliques
  119. Tue Jul 7 21:02:39 2026 commencing in-memory singleton removal
  120. Tue Jul 7 21:02:42 2026 begin with 86717419 relations and 82190645 unique ideals
  121. Tue Jul 7 21:02:57 2026 reduce to 86255467 relations and 76382112 ideals in 8 passes
  122. Tue Jul 7 21:02:57 2026 max relations containing the same ideal: 100
  123. Tue Jul 7 21:03:52 2026 removing 7365490 relations and 5365490 ideals in 2000000 cliques
  124. Tue Jul 7 21:03:55 2026 commencing in-memory singleton removal
  125. Tue Jul 7 21:03:56 2026 begin with 78889977 relations and 76382112 unique ideals
  126. Tue Jul 7 21:04:07 2026 reduce to 78384016 relations and 70500555 ideals in 7 passes
  127. Tue Jul 7 21:04:07 2026 max relations containing the same ideal: 94
  128. Tue Jul 7 21:04:51 2026 removing 7431637 relations and 5431637 ideals in 2000000 cliques
  129. Tue Jul 7 21:04:54 2026 commencing in-memory singleton removal
  130. Tue Jul 7 21:04:56 2026 begin with 70952379 relations and 70500555 unique ideals
  131. Tue Jul 7 21:05:05 2026 reduce to 70381775 relations and 64485793 ideals in 7 passes
  132. Tue Jul 7 21:05:05 2026 max relations containing the same ideal: 86
  133. Tue Jul 7 21:05:48 2026 removing 7531904 relations and 5531904 ideals in 2000000 cliques
  134. Tue Jul 7 21:05:51 2026 commencing in-memory singleton removal
  135. Tue Jul 7 21:05:52 2026 begin with 62849871 relations and 64485793 unique ideals
  136. Tue Jul 7 21:06:07 2026 reduce to 62193585 relations and 58281739 ideals in 9 passes
  137. Tue Jul 7 21:06:07 2026 max relations containing the same ideal: 81
  138. Tue Jul 7 21:06:41 2026 removing 7677680 relations and 5677680 ideals in 2000000 cliques
  139. Tue Jul 7 21:06:44 2026 commencing in-memory singleton removal
  140. Tue Jul 7 21:06:45 2026 begin with 54515905 relations and 58281739 unique ideals
  141. Tue Jul 7 21:06:55 2026 reduce to 53736083 relations and 51803204 ideals in 10 passes
  142. Tue Jul 7 21:06:55 2026 max relations containing the same ideal: 74
  143. Tue Jul 7 21:07:27 2026 removing 1937619 relations and 1594630 ideals in 342989 cliques
  144. Tue Jul 7 21:07:29 2026 commencing in-memory singleton removal
  145. Tue Jul 7 21:07:30 2026 begin with 51798464 relations and 51803204 unique ideals
  146. Tue Jul 7 21:07:37 2026 reduce to 51749622 relations and 50159438 ideals in 7 passes
  147. Tue Jul 7 21:07:37 2026 max relations containing the same ideal: 71
  148. Tue Jul 7 21:08:07 2026 trying target density 90
  149. Tue Jul 7 21:08:14 2026 relations with 0 large ideals: 5223
  150. Tue Jul 7 21:08:14 2026 relations with 1 large ideals: 25858
  151. Tue Jul 7 21:08:14 2026 relations with 2 large ideals: 362838
  152. Tue Jul 7 21:08:14 2026 relations with 3 large ideals: 2139444
  153. Tue Jul 7 21:08:14 2026 relations with 4 large ideals: 6741246
  154. Tue Jul 7 21:08:14 2026 relations with 5 large ideals: 12482294
  155. Tue Jul 7 21:08:14 2026 relations with 6 large ideals: 14266684
  156. Tue Jul 7 21:08:14 2026 relations with 7+ large ideals: 15726035
  157. Tue Jul 7 21:08:14 2026 commencing 2-way merge
  158. Tue Jul 7 21:08:57 2026 reduce to 32272031 relation sets and 30681847 unique ideals
  159. Tue Jul 7 21:08:57 2026 commencing full merge
  160. Tue Jul 7 21:21:48 2026 memory use: 3704.8 MB
  161. Tue Jul 7 21:21:55 2026 found 16002774 cycles, need 15788047
  162. Tue Jul 7 21:22:01 2026 weight of 15788047 cycles is about 1421015032 (90.01/cycle)
  163. Tue Jul 7 21:22:01 2026 distribution of cycle lengths:
  164. Tue Jul 7 21:22:01 2026 1 relations: 1664462
  165. Tue Jul 7 21:22:01 2026 2 relations: 1529443
  166. Tue Jul 7 21:22:01 2026 3 relations: 1543157
  167. Tue Jul 7 21:22:01 2026 4 relations: 1490060
  168. Tue Jul 7 21:22:01 2026 5 relations: 1433089
  169. Tue Jul 7 21:22:01 2026 6 relations: 1364393
  170. Tue Jul 7 21:22:01 2026 7 relations: 1252830
  171. Tue Jul 7 21:22:01 2026 8 relations: 1121154
  172. Tue Jul 7 21:22:01 2026 9 relations: 974369
  173. Tue Jul 7 21:22:01 2026 10+ relations: 3415090
  174. Tue Jul 7 21:22:01 2026 heaviest cycle: 21 relations
  175. Tue Jul 7 21:22:06 2026 commencing cycle optimization
  176. Tue Jul 7 21:22:44 2026 start with 99528131 relations
  177. Tue Jul 7 21:26:27 2026 pruned 3034231 relations
  178. Tue Jul 7 21:26:30 2026 memory use: 3129.0 MB
  179. Tue Jul 7 21:26:30 2026 distribution of cycle lengths:
  180. Tue Jul 7 21:26:30 2026 1 relations: 1664462
  181. Tue Jul 7 21:26:30 2026 2 relations: 1567001
  182. Tue Jul 7 21:26:30 2026 3 relations: 1602330
  183. Tue Jul 7 21:26:30 2026 4 relations: 1536495
  184. Tue Jul 7 21:26:30 2026 5 relations: 1485265
  185. Tue Jul 7 21:26:30 2026 6 relations: 1404676
  186. Tue Jul 7 21:26:30 2026 7 relations: 1288859
  187. Tue Jul 7 21:26:30 2026 8 relations: 1141401
  188. Tue Jul 7 21:26:30 2026 9 relations: 983956
  189. Tue Jul 7 21:26:30 2026 10+ relations: 3113602
  190. Tue Jul 7 21:26:30 2026 heaviest cycle: 21 relations
  191. Tue Jul 7 21:27:19 2026 trying target density 110
  192. Tue Jul 7 21:27:24 2026 relations with 0 large ideals: 5223
  193. Tue Jul 7 21:27:24 2026 relations with 1 large ideals: 25858
  194. Tue Jul 7 21:27:24 2026 relations with 2 large ideals: 362838
  195. Tue Jul 7 21:27:24 2026 relations with 3 large ideals: 2139444
  196. Tue Jul 7 21:27:24 2026 relations with 4 large ideals: 6741246
  197. Tue Jul 7 21:27:24 2026 relations with 5 large ideals: 12482294
  198. Tue Jul 7 21:27:24 2026 relations with 6 large ideals: 14266684
  199. Tue Jul 7 21:27:24 2026 relations with 7+ large ideals: 15726035
  200. Tue Jul 7 21:27:24 2026 commencing 2-way merge
  201. Tue Jul 7 21:28:01 2026 reduce to 32272031 relation sets and 30681847 unique ideals
  202. Tue Jul 7 21:28:01 2026 commencing full merge
  203. Tue Jul 7 21:49:30 2026 memory use: 3818.1 MB
  204. Tue Jul 7 21:49:39 2026 found 14938623 cycles, need 14756047
  205. Tue Jul 7 21:49:48 2026 weight of 14756047 cycles is about 1623591162 (110.03/cycle)
  206. Tue Jul 7 21:49:48 2026 distribution of cycle lengths:
  207. Tue Jul 7 21:49:48 2026 1 relations: 1160265
  208. Tue Jul 7 21:49:48 2026 2 relations: 1162101
  209. Tue Jul 7 21:49:48 2026 3 relations: 1196133
  210. Tue Jul 7 21:49:48 2026 4 relations: 1160386
  211. Tue Jul 7 21:49:48 2026 5 relations: 1142494
  212. Tue Jul 7 21:49:48 2026 6 relations: 1117385
  213. Tue Jul 7 21:49:48 2026 7 relations: 1062704
  214. Tue Jul 7 21:49:48 2026 8 relations: 1007567
  215. Tue Jul 7 21:49:48 2026 9 relations: 928401
  216. Tue Jul 7 21:49:48 2026 10+ relations: 4818611
  217. Tue Jul 7 21:49:48 2026 heaviest cycle: 26 relations
  218. Tue Jul 7 21:49:54 2026 commencing cycle optimization
  219. Tue Jul 7 21:50:56 2026 start with 113369794 relations
  220. Tue Jul 7 21:58:17 2026 pruned 4303831 relations
  221. Tue Jul 7 21:58:21 2026 memory use: 3274.7 MB
  222. Tue Jul 7 21:58:21 2026 distribution of cycle lengths:
  223. Tue Jul 7 21:58:21 2026 1 relations: 1160265
  224. Tue Jul 7 21:58:21 2026 2 relations: 1191706
  225. Tue Jul 7 21:58:21 2026 3 relations: 1244565
  226. Tue Jul 7 21:58:21 2026 4 relations: 1202262
  227. Tue Jul 7 21:58:21 2026 5 relations: 1192561
  228. Tue Jul 7 21:58:21 2026 6 relations: 1160206
  229. Tue Jul 7 21:58:21 2026 7 relations: 1107990
  230. Tue Jul 7 21:58:21 2026 8 relations: 1042553
  231. Tue Jul 7 21:58:21 2026 9 relations: 958355
  232. Tue Jul 7 21:58:21 2026 10+ relations: 4495584
  233. Tue Jul 7 21:58:21 2026 heaviest cycle: 25 relations
  234. Tue Jul 7 21:59:27 2026 trying target density 130
  235. Tue Jul 7 21:59:34 2026 relations with 0 large ideals: 5223
  236. Tue Jul 7 21:59:34 2026 relations with 1 large ideals: 25858
  237. Tue Jul 7 21:59:34 2026 relations with 2 large ideals: 362838
  238. Tue Jul 7 21:59:34 2026 relations with 3 large ideals: 2139444
  239. Tue Jul 7 21:59:34 2026 relations with 4 large ideals: 6741246
  240. Tue Jul 7 21:59:34 2026 relations with 5 large ideals: 12482294
  241. Tue Jul 7 21:59:34 2026 relations with 6 large ideals: 14266684
  242. Tue Jul 7 21:59:34 2026 relations with 7+ large ideals: 15726035
  243. Tue Jul 7 21:59:34 2026 commencing 2-way merge
  244. Tue Jul 7 22:00:27 2026 reduce to 32272031 relation sets and 30681847 unique ideals
  245. Tue Jul 7 22:00:27 2026 commencing full merge
  246. Tue Jul 7 22:25:13 2026 memory use: 3886.2 MB
  247. Tue Jul 7 22:25:22 2026 found 14085191 cycles, need 14004047
  248. Tue Jul 7 22:25:29 2026 weight of 14004047 cycles is about 1821096227 (130.04/cycle)
  249. Tue Jul 7 22:25:29 2026 distribution of cycle lengths:
  250. Tue Jul 7 22:25:29 2026 1 relations: 816883
  251. Tue Jul 7 22:25:29 2026 2 relations: 923764
  252. Tue Jul 7 22:25:29 2026 3 relations: 966178
  253. Tue Jul 7 22:25:29 2026 4 relations: 952454
  254. Tue Jul 7 22:25:29 2026 5 relations: 944184
  255. Tue Jul 7 22:25:29 2026 6 relations: 929152
  256. Tue Jul 7 22:25:29 2026 7 relations: 916636
  257. Tue Jul 7 22:25:29 2026 8 relations: 876998
  258. Tue Jul 7 22:25:29 2026 9 relations: 836381
  259. Tue Jul 7 22:25:29 2026 10+ relations: 5841417
  260. Tue Jul 7 22:25:29 2026 heaviest cycle: 28 relations
  261. Tue Jul 7 22:25:36 2026 commencing cycle optimization
  262. Tue Jul 7 22:26:36 2026 start with 126647486 relations
  263. Tue Jul 7 22:35:56 2026 pruned 5624894 relations
  264. Tue Jul 7 22:35:56 2026 memory use: 3411.4 MB
  265. Tue Jul 7 22:35:56 2026 distribution of cycle lengths:
  266. Tue Jul 7 22:35:56 2026 1 relations: 816883
  267. Tue Jul 7 22:35:56 2026 2 relations: 947637
  268. Tue Jul 7 22:35:56 2026 3 relations: 1006502
  269. Tue Jul 7 22:35:56 2026 4 relations: 989431
  270. Tue Jul 7 22:35:56 2026 5 relations: 989227
  271. Tue Jul 7 22:35:56 2026 6 relations: 971824
  272. Tue Jul 7 22:35:56 2026 7 relations: 960868
  273. Tue Jul 7 22:35:56 2026 8 relations: 917859
  274. Tue Jul 7 22:35:56 2026 9 relations: 875142
  275. Tue Jul 7 22:35:56 2026 10+ relations: 5528674
  276. Tue Jul 7 22:35:56 2026 heaviest cycle: 28 relations
  277. Tue Jul 7 22:36:57 2026 RelProcTime: 10834
  278. Tue Jul 7 22:36:57 2026
  279. Tue Jul 7 22:36:57 2026 commencing linear algebra
  280. Tue Jul 7 22:36:57 2026 using VBITS=256
  281. Tue Jul 7 22:36:57 2026 building matrices for all densities
  282. Tue Jul 7 22:36:57 2026 found 3 density files
  283. Tue Jul 7 22:36:57 2026 building matrix for density 90
  284. Tue Jul 7 22:36:57 2026 reversing signs of algebraic polynomial
  285. Tue Jul 7 22:36:59 2026 read 15788047 cycles
  286. Tue Jul 7 22:37:44 2026 cycles contain 50818897 unique relations
  287. Tue Jul 7 22:39:46 2026 read 50818897 relations
  288. Tue Jul 7 22:40:15 2026 using 20 quadratic characters above 4294917295
  289. Tue Jul 7 22:40:53 2026 building initial matrix
  290. Tue Jul 7 22:58:30 2026 memory use: 7116.8 MB
  291. Tue Jul 7 22:58:41 2026 read 15788047 cycles
  292. Tue Jul 7 22:58:44 2026 matrix is 15787866 x 15788047 (5906.7 MB) with weight 1828688484 (115.83/col)
  293. Tue Jul 7 22:58:44 2026 sparse part has weight 1358941457 (86.07/col)
  294. Tue Jul 7 23:02:18 2026 filtering completed in 2 passes
  295. Tue Jul 7 23:02:25 2026 matrix is 15783939 x 15784119 (5906.3 MB) with weight 1828528996 (115.85/col)
  296. Tue Jul 7 23:02:25 2026 sparse part has weight 1358899605 (86.09/col)
  297. Tue Jul 7 23:03:22 2026 building matrix for density 110
  298. Tue Jul 7 23:03:22 2026 reversing signs of algebraic polynomial
  299. Tue Jul 7 23:03:23 2026 read 14756047 cycles
  300. Tue Jul 7 23:04:12 2026 cycles contain 50828312 unique relations
  301. Tue Jul 7 23:06:23 2026 read 50828312 relations
  302. Tue Jul 7 23:06:54 2026 using 20 quadratic characters above 4294917295
  303. Tue Jul 7 23:07:37 2026 building initial matrix
  304. Tue Jul 7 23:26:20 2026 memory use: 7134.4 MB
  305. Tue Jul 7 23:26:37 2026 read 14756047 cycles
  306. Tue Jul 7 23:26:42 2026 matrix is 14755867 x 14756047 (6511.2 MB) with weight 1996482840 (135.30/col)
  307. Tue Jul 7 23:26:42 2026 sparse part has weight 1529796047 (103.67/col)
  308. Tue Jul 7 23:30:48 2026 filtering completed in 2 passes
  309. Tue Jul 7 23:30:55 2026 matrix is 14754008 x 14754187 (6511.0 MB) with weight 1996395943 (135.31/col)
  310. Tue Jul 7 23:30:55 2026 sparse part has weight 1529769574 (103.68/col)
  311. Tue Jul 7 23:32:11 2026 building matrix for density 130
  312. Tue Jul 7 23:32:11 2026 reversing signs of algebraic polynomial
  313. Tue Jul 7 23:32:14 2026 read 14004047 cycles
  314. Tue Jul 7 23:33:02 2026 cycles contain 50824129 unique relations
  315. Tue Jul 7 23:35:27 2026 read 50824129 relations
  316. Tue Jul 7 23:35:55 2026 using 20 quadratic characters above 4294917295
  317. Tue Jul 7 23:36:33 2026 building initial matrix
  318. Tue Jul 7 23:55:59 2026 memory use: 7156.6 MB
  319. Tue Jul 7 23:56:07 2026 read 14004047 cycles
  320. Tue Jul 7 23:56:11 2026 matrix is 14003869 x 14004047 (7102.0 MB) with weight 2158707737 (154.15/col)
  321. Tue Jul 7 23:56:11 2026 sparse part has weight 1693696521 (120.94/col)
  322. Wed Jul 8 00:00:20 2026 filtering completed in 2 passes
  323. Wed Jul 8 00:00:28 2026 matrix is 14003294 x 14003471 (7101.9 MB) with weight 2158675424 (154.15/col)
  324. Wed Jul 8 00:00:28 2026 sparse part has weight 1693684863 (120.95/col)
  325. Wed Jul 8 00:01:33 2026 BLanczosTime: 5076
  326. Wed Jul 8 00:01:33 2026 elapsed time 04:25:10
  327. Wed Jul 8 20:20:27 2026
  328. Wed Jul 8 20:20:27 2026
  329. Wed Jul 8 20:20:27 2026 Msieve v. 1.54 (SVN unknown)
  330. Wed Jul 8 20:20:27 2026 random seeds: 6381269a aeb7b948
  331. Wed Jul 8 20:20:27 2026 Using 8 OpenMP threads
  332. Wed Jul 8 20:20:27 2026 factoring 6493749498647860325311006373601228292015340189062211295404305542129201926137084246331205620626872293994695916859027216015628061843606874712086356946954051890652541267373506860394743 (181 digits)
  333. Wed Jul 8 20:20:27 2026 no P-1/P+1/ECM available, skipping
  334. Wed Jul 8 20:20:27 2026 commencing number field sieve (181-digit input)
  335. Wed Jul 8 20:20:27 2026 reversing signs of algebraic polynomial
  336. Wed Jul 8 20:20:27 2026 R0: -187905724890895080788420869559418494
  337. Wed Jul 8 20:20:27 2026 R1: 23158282496834356563823
  338. Wed Jul 8 20:20:27 2026 A0: -49705732828736832259269892631288078510632740
  339. Wed Jul 8 20:20:27 2026 A1: 16488231607600270226483388497079508935
  340. Wed Jul 8 20:20:27 2026 A2: -49536190324912380507385147884
  341. Wed Jul 8 20:20:27 2026 A3: -2707815849074340698017
  342. Wed Jul 8 20:20:27 2026 A4: 2326781108122
  343. Wed Jul 8 20:20:27 2026 A5: 55440
  344. Wed Jul 8 20:20:27 2026 skew 126167058.88, size 1.830e-17, alpha -8.281, combined = 1.065e-13 rroots = 5
  345. Wed Jul 8 20:20:27 2026
  346. Wed Jul 8 20:20:27 2026 commencing linear algebra
  347. Wed Jul 8 20:20:27 2026 using VBITS=256
  348. Wed Jul 8 20:20:27 2026 skipping matrix build
  349. Wed Jul 8 20:20:35 2026 matrix starts at (0, 0)
  350. Wed Jul 8 20:20:37 2026 matrix is 14003294 x 14003471 (7101.9 MB) with weight 2158675424 (154.15/col)
  351. Wed Jul 8 20:20:37 2026 sparse part has weight 1693684863 (120.95/col)
  352. Wed Jul 8 20:20:37 2026 saving the first 240 matrix rows for later
  353. Wed Jul 8 20:20:40 2026 matrix includes 256 packed rows
  354. Wed Jul 8 20:20:45 2026 matrix is 14003054 x 14003471 (6436.1 MB) with weight 1555857134 (111.11/col)
  355. Wed Jul 8 20:20:45 2026 sparse part has weight 1463116867 (104.48/col)
  356. Wed Jul 8 20:20:45 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  357. Wed Jul 8 20:20:45 2026 selected card has CUDA arch 12.0
  358. Wed Jul 8 20:20:46 2026 computed block_nnz 164336673 (L2 cache 100663296 bytes, average column weight 104.5)
  359. Wed Jul 8 20:20:46 2026 nonzeros per matrix block: 256000000
  360. Wed Jul 8 20:23:48 2026 commencing Lanczos iteration
  361. Wed Jul 8 20:23:51 2026 memory use: 15222.5 MB
  362. Wed Jul 8 20:24:05 2026 linear algebra at 0.2%, ETA 1h46m
  363. Wed Jul 8 20:24:24 2026 checking every 130000 dimensions, checkpointing every 8450000 dimensions
  364. Wed Jul 8 22:03:13 2026 lanczos halted after 54864 iterations (dim = 14003053)
  365. Wed Jul 8 22:04:22 2026 recovered 29 nontrivial dependencies
  366. Wed Jul 8 22:04:22 2026 BLanczosTime: 6235
  367. Wed Jul 8 22:04:22 2026 elapsed time 01:43:55
  368. Wed Jul 8 18:22:39 2026
  369. Wed Jul 8 18:22:39 2026
  370. Wed Jul 8 18:22:39 2026 Msieve v. 1.54 (SVN unknown)
  371. Wed Jul 8 18:22:39 2026 random seeds: 7997e1b1 0c9f4594
  372. Wed Jul 8 18:22:39 2026 Using 8 OpenMP threads
  373. Wed Jul 8 18:22:39 2026 factoring 6493749498647860325311006373601228292015340189062211295404305542129201926137084246331205620626872293994695916859027216015628061843606874712086356946954051890652541267373506860394743 (181 digits)
  374. Wed Jul 8 18:22:40 2026 no P-1/P+1/ECM available, skipping
  375. Wed Jul 8 18:22:40 2026 commencing number field sieve (181-digit input)
  376. Wed Jul 8 18:22:40 2026 reversing signs of algebraic polynomial
  377. Wed Jul 8 18:22:40 2026 R0: -187905724890895080788420869559418494
  378. Wed Jul 8 18:22:40 2026 R1: 23158282496834356563823
  379. Wed Jul 8 18:22:40 2026 A0: -49705732828736832259269892631288078510632740
  380. Wed Jul 8 18:22:40 2026 A1: 16488231607600270226483388497079508935
  381. Wed Jul 8 18:22:40 2026 A2: -49536190324912380507385147884
  382. Wed Jul 8 18:22:40 2026 A3: -2707815849074340698017
  383. Wed Jul 8 18:22:40 2026 A4: 2326781108122
  384. Wed Jul 8 18:22:40 2026 A5: 55440
  385. Wed Jul 8 18:22:40 2026 skew 126167058.88, size 1.830e-17, alpha -8.281, combined = 1.065e-13 rroots = 5
  386. Wed Jul 8 18:22:40 2026
  387. Wed Jul 8 18:22:40 2026 commencing square root phase
  388. Wed Jul 8 18:22:40 2026 reversing signs of algebraic polynomial
  389. Wed Jul 8 18:22:40 2026 reading relations for dependency 1
  390. Wed Jul 8 18:22:52 2026 read 7001515 cycles
  391. Wed Jul 8 18:23:19 2026 cycles contain 25413618 unique relations
  392. Wed Jul 8 18:31:29 2026 read 25413618 relations
  393. Wed Jul 8 18:32:45 2026 multiplying 25413618 relations
  394. Wed Jul 8 18:34:56 2026 multiply complete, coefficients have about 1407.47 million bits
  395. Wed Jul 8 18:34:58 2026 initial square root is modulo 2058599
  396. Wed Jul 8 18:39:28 2026 sqrtTime: 1008
  397. Wed Jul 8 18:39:28 2026 p62 factor: 17448798177777119984857458733376123932359978805588799902393249
  398. Wed Jul 8 18:39:28 2026 p120 factor: 372160273302853226036104284230929121903543174488981004189001888860944631855088841998655094089457714618752606863864858007
  399. Wed Jul 8 18:39:28 2026 elapsed time 00:16:49
  400.  
Tags: math
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