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kyleaskine
Mar 24th, 2026
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  1. Tue Mar 24 05:38:14 2026
  2. Tue Mar 24 05:38:14 2026
  3. Tue Mar 24 05:38:14 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Mar 24 05:38:14 2026 random seeds: a1d53e96 b7688a5a
  5. Tue Mar 24 05:38:14 2026 Using 8 OpenMP threads
  6. Tue Mar 24 05:38:14 2026 factoring 18735162278717130205453807940596609992329054312608567305226188037499641086965290619074620109631672317925761441406795285205440863803344513105948566310531031837110522133219167143 (176 digits)
  7. Tue Mar 24 05:38:15 2026 searching for 15-digit factors
  8. Tue Mar 24 05:38:15 2026 commencing number field sieve (176-digit input)
  9. Tue Mar 24 05:38:15 2026 R0: -10929728379621536462201902373740377
  10. Tue Mar 24 05:38:15 2026 R1: 3696231563387688056869
  11. Tue Mar 24 05:38:15 2026 A0: -32139032266537438464909892639596024258448
  12. Tue Mar 24 05:38:15 2026 A1: 12995728178902383115231471959211270
  13. Tue Mar 24 05:38:15 2026 A2: -303433329930635198339770427
  14. Tue Mar 24 05:38:15 2026 A3: -200580846320449269435
  15. Tue Mar 24 05:38:15 2026 A4: -7704776538070
  16. Tue Mar 24 05:38:15 2026 A5: 240240
  17. Tue Mar 24 05:38:15 2026 skew 1.00, size 5.553e-17, alpha -6.335, combined = 9.816e-16 rroots = 3
  18. Tue Mar 24 05:38:15 2026
  19. Tue Mar 24 05:38:15 2026 commencing relation filtering
  20. Tue Mar 24 05:38:15 2026 target densities: 80 100 120 140
  21. Tue Mar 24 05:38:15 2026 estimated available RAM is 78540.1 MB
  22. Tue Mar 24 05:38:15 2026 commencing duplicate removal, pass 1
  23. Tue Mar 24 05:38:40 2026 error -1 reading relation 12079912
  24. Tue Mar 24 05:39:24 2026 error -1 reading relation 34398858
  25. Tue Mar 24 05:39:47 2026 error -1 reading relation 45857639
  26. Tue Mar 24 05:40:01 2026 error -1 reading relation 52806977
  27. Tue Mar 24 05:40:03 2026 error -1 reading relation 53889095
  28. Tue Mar 24 05:40:34 2026 error -1 reading relation 68942649
  29. Tue Mar 24 05:43:41 2026 error -15 reading relation 162573666
  30. Tue Mar 24 05:43:47 2026 error -1 reading relation 165561915
  31. Tue Mar 24 05:44:10 2026 error -1 reading relation 177023624
  32. Tue Mar 24 05:45:40 2026 error -1 reading relation 222038981
  33. Tue Mar 24 05:46:19 2026 error -1 reading relation 241710221
  34. Tue Mar 24 05:46:23 2026 error -1 reading relation 243810870
  35. Tue Mar 24 05:46:40 2026 error -1 reading relation 252464508
  36. Tue Mar 24 05:47:22 2026 error -1 reading relation 273559958
  37. Tue Mar 24 05:47:46 2026 error -1 reading relation 285841263
  38. Tue Mar 24 05:47:49 2026 error -1 reading relation 287653262
  39. Tue Mar 24 05:47:58 2026 error -1 reading relation 291809435
  40. Tue Mar 24 05:48:03 2026 error -1 reading relation 294324586
  41. Tue Mar 24 05:49:16 2026 error -1 reading relation 330632734
  42. Tue Mar 24 05:49:28 2026 error -1 reading relation 337017447
  43. Tue Mar 24 05:49:36 2026 error -15 reading relation 341025547
  44. Tue Mar 24 05:49:38 2026 skipped 1 relations with b > 2^32
  45. Tue Mar 24 05:49:38 2026 skipped 1 relations with composite factors
  46. Tue Mar 24 05:49:38 2026 skipped 147 malformed relations
  47. Tue Mar 24 05:49:38 2026 found 73252047 hash collisions in 341954951 relations
  48. Tue Mar 24 05:49:52 2026 added 121586 free relations
  49. Tue Mar 24 05:49:52 2026 commencing duplicate removal, pass 2
  50. Tue Mar 24 05:52:30 2026 found 79312601 duplicates and 262763936 unique relations
  51. Tue Mar 24 05:52:30 2026 memory use: 1705.5 MB
  52. Tue Mar 24 05:52:31 2026 reading ideals above 720000
  53. Tue Mar 24 05:52:31 2026 commencing singleton removal, initial pass
  54. Tue Mar 24 06:09:33 2026 memory use: 6024.0 MB
  55. Tue Mar 24 06:09:33 2026 reading all ideals from disk
  56. Tue Mar 24 06:09:39 2026 memory use: 12479.5 MB
  57. Tue Mar 24 06:09:59 2026 keeping 244857574 ideals with weight <= 200, target excess is 1583346
  58. Tue Mar 24 06:10:22 2026 commencing in-memory singleton removal
  59. Tue Mar 24 06:10:26 2026 begin with 262763936 relations and 244857574 unique ideals
  60. Tue Mar 24 06:11:00 2026 reduce to 160713053 relations and 131877371 ideals in 16 passes
  61. Tue Mar 24 06:11:00 2026 max relations containing the same ideal: 154
  62. Tue Mar 24 06:11:51 2026 removing 12199194 relations and 10199194 ideals in 2000000 cliques
  63. Tue Mar 24 06:11:54 2026 commencing in-memory singleton removal
  64. Tue Mar 24 06:11:57 2026 begin with 148513859 relations and 131877371 unique ideals
  65. Tue Mar 24 06:12:13 2026 reduce to 147792816 relations and 120945460 ideals in 9 passes
  66. Tue Mar 24 06:12:13 2026 max relations containing the same ideal: 150
  67. Tue Mar 24 06:12:59 2026 removing 9264463 relations and 7264463 ideals in 2000000 cliques
  68. Tue Mar 24 06:13:02 2026 commencing in-memory singleton removal
  69. Tue Mar 24 06:13:04 2026 begin with 138528353 relations and 120945460 unique ideals
  70. Tue Mar 24 06:13:18 2026 reduce to 138052857 relations and 113198819 ideals in 9 passes
  71. Tue Mar 24 06:13:18 2026 max relations containing the same ideal: 142
  72. Tue Mar 24 06:14:02 2026 removing 8374576 relations and 6374576 ideals in 2000000 cliques
  73. Tue Mar 24 06:14:05 2026 commencing in-memory singleton removal
  74. Tue Mar 24 06:14:07 2026 begin with 129678281 relations and 113198819 unique ideals
  75. Tue Mar 24 06:14:18 2026 reduce to 129260347 relations and 106400362 ideals in 8 passes
  76. Tue Mar 24 06:14:18 2026 max relations containing the same ideal: 136
  77. Tue Mar 24 06:15:00 2026 removing 7913081 relations and 5913081 ideals in 2000000 cliques
  78. Tue Mar 24 06:15:02 2026 commencing in-memory singleton removal
  79. Tue Mar 24 06:15:04 2026 begin with 121347266 relations and 106400362 unique ideals
  80. Tue Mar 24 06:15:15 2026 reduce to 120949084 relations and 100083489 ideals in 8 passes
  81. Tue Mar 24 06:15:15 2026 max relations containing the same ideal: 127
  82. Tue Mar 24 06:15:55 2026 removing 7628768 relations and 5628768 ideals in 2000000 cliques
  83. Tue Mar 24 06:15:57 2026 commencing in-memory singleton removal
  84. Tue Mar 24 06:15:59 2026 begin with 113320316 relations and 100083489 unique ideals
  85. Tue Mar 24 06:16:09 2026 reduce to 112929311 relations and 94057970 ideals in 8 passes
  86. Tue Mar 24 06:16:09 2026 max relations containing the same ideal: 123
  87. Tue Mar 24 06:16:47 2026 removing 7445280 relations and 5445280 ideals in 2000000 cliques
  88. Tue Mar 24 06:16:49 2026 commencing in-memory singleton removal
  89. Tue Mar 24 06:16:51 2026 begin with 105484031 relations and 94057970 unique ideals
  90. Tue Mar 24 06:16:59 2026 reduce to 105089153 relations and 88211535 ideals in 7 passes
  91. Tue Mar 24 06:16:59 2026 max relations containing the same ideal: 117
  92. Tue Mar 24 06:17:34 2026 removing 7330015 relations and 5330015 ideals in 2000000 cliques
  93. Tue Mar 24 06:17:37 2026 commencing in-memory singleton removal
  94. Tue Mar 24 06:17:38 2026 begin with 97759138 relations and 88211535 unique ideals
  95. Tue Mar 24 06:17:46 2026 reduce to 97351563 relations and 82467101 ideals in 7 passes
  96. Tue Mar 24 06:17:46 2026 max relations containing the same ideal: 109
  97. Tue Mar 24 06:18:19 2026 removing 7260535 relations and 5260535 ideals in 2000000 cliques
  98. Tue Mar 24 06:18:22 2026 commencing in-memory singleton removal
  99. Tue Mar 24 06:18:23 2026 begin with 90091028 relations and 82467101 unique ideals
  100. Tue Mar 24 06:18:31 2026 reduce to 89661373 relations and 76769004 ideals in 8 passes
  101. Tue Mar 24 06:18:31 2026 max relations containing the same ideal: 104
  102. Tue Mar 24 06:19:02 2026 removing 7232088 relations and 5232088 ideals in 2000000 cliques
  103. Tue Mar 24 06:19:04 2026 commencing in-memory singleton removal
  104. Tue Mar 24 06:19:05 2026 begin with 82429285 relations and 76769004 unique ideals
  105. Tue Mar 24 06:19:12 2026 reduce to 81968294 relations and 71067112 ideals in 8 passes
  106. Tue Mar 24 06:19:12 2026 max relations containing the same ideal: 96
  107. Tue Mar 24 06:19:41 2026 removing 7236301 relations and 5236301 ideals in 2000000 cliques
  108. Tue Mar 24 06:19:43 2026 commencing in-memory singleton removal
  109. Tue Mar 24 06:19:44 2026 begin with 74731993 relations and 71067112 unique ideals
  110. Tue Mar 24 06:19:51 2026 reduce to 74225800 relations and 65313931 ideals in 8 passes
  111. Tue Mar 24 06:19:51 2026 max relations containing the same ideal: 92
  112. Tue Mar 24 06:20:17 2026 removing 7280408 relations and 5280408 ideals in 2000000 cliques
  113. Tue Mar 24 06:20:19 2026 commencing in-memory singleton removal
  114. Tue Mar 24 06:20:20 2026 begin with 66945392 relations and 65313931 unique ideals
  115. Tue Mar 24 06:20:26 2026 reduce to 66373713 relations and 59448586 ideals in 8 passes
  116. Tue Mar 24 06:20:26 2026 max relations containing the same ideal: 87
  117. Tue Mar 24 06:20:50 2026 removing 7368562 relations and 5368562 ideals in 2000000 cliques
  118. Tue Mar 24 06:20:52 2026 commencing in-memory singleton removal
  119. Tue Mar 24 06:20:53 2026 begin with 59005151 relations and 59448586 unique ideals
  120. Tue Mar 24 06:20:58 2026 reduce to 58339967 relations and 53397744 ideals in 9 passes
  121. Tue Mar 24 06:20:58 2026 max relations containing the same ideal: 81
  122. Tue Mar 24 06:21:20 2026 removing 7515104 relations and 5515104 ideals in 2000000 cliques
  123. Tue Mar 24 06:21:21 2026 commencing in-memory singleton removal
  124. Tue Mar 24 06:21:22 2026 begin with 50824863 relations and 53397744 unique ideals
  125. Tue Mar 24 06:21:27 2026 reduce to 50012538 relations and 47046547 ideals in 9 passes
  126. Tue Mar 24 06:21:27 2026 max relations containing the same ideal: 72
  127. Tue Mar 24 06:21:46 2026 removing 4968485 relations and 3839176 ideals in 1129310 cliques
  128. Tue Mar 24 06:21:47 2026 commencing in-memory singleton removal
  129. Tue Mar 24 06:21:48 2026 begin with 45044053 relations and 47046547 unique ideals
  130. Tue Mar 24 06:21:52 2026 reduce to 44637399 relations and 42792736 ideals in 9 passes
  131. Tue Mar 24 06:21:52 2026 max relations containing the same ideal: 63
  132. Tue Mar 24 06:22:12 2026 relations with 0 large ideals: 12329
  133. Tue Mar 24 06:22:12 2026 relations with 1 large ideals: 135862
  134. Tue Mar 24 06:22:12 2026 relations with 2 large ideals: 965705
  135. Tue Mar 24 06:22:12 2026 relations with 3 large ideals: 3752287
  136. Tue Mar 24 06:22:12 2026 relations with 4 large ideals: 8645789
  137. Tue Mar 24 06:22:12 2026 relations with 5 large ideals: 12287476
  138. Tue Mar 24 06:22:12 2026 relations with 6 large ideals: 10873195
  139. Tue Mar 24 06:22:12 2026 relations with 7+ large ideals: 7964756
  140. Tue Mar 24 06:22:12 2026 commencing 2-way merge
  141. Tue Mar 24 06:22:36 2026 reduce to 27231285 relation sets and 25386622 unique ideals
  142. Tue Mar 24 06:22:38 2026
  143. Tue Mar 24 06:22:38 2026 trying target density 80
  144. Tue Mar 24 06:22:38 2026 commencing full merge
  145. Tue Mar 24 06:27:40 2026 memory use: 2666.7 MB
  146. Tue Mar 24 06:27:43 2026 found 13837428 cycles, need 13578822
  147. Tue Mar 24 06:27:47 2026 weight of 13578822 cycles is about 1086668348 (80.03/cycle)
  148. Tue Mar 24 06:27:47 2026 distribution of cycle lengths:
  149. Tue Mar 24 06:27:47 2026 1 relations: 1404803
  150. Tue Mar 24 06:27:47 2026 2 relations: 1449724
  151. Tue Mar 24 06:27:47 2026 3 relations: 1544882
  152. Tue Mar 24 06:27:47 2026 4 relations: 1489348
  153. Tue Mar 24 06:27:47 2026 5 relations: 1435552
  154. Tue Mar 24 06:27:47 2026 6 relations: 1296968
  155. Tue Mar 24 06:27:47 2026 7 relations: 1160134
  156. Tue Mar 24 06:27:47 2026 8 relations: 984600
  157. Tue Mar 24 06:27:47 2026 9 relations: 798442
  158. Tue Mar 24 06:27:47 2026 10+ relations: 2014369
  159. Tue Mar 24 06:27:47 2026 heaviest cycle: 18 relations
  160. Tue Mar 24 06:27:50 2026 target density 80 succeeded, avg weight 80.03
  161. Tue Mar 24 06:27:51 2026 commencing cycle optimization
  162. Tue Mar 24 06:28:11 2026 start with 76504897 relations
  163. Tue Mar 24 06:30:13 2026 pruned 1761427 relations
  164. Tue Mar 24 06:30:16 2026 memory use: 2588.0 MB
  165. Tue Mar 24 06:30:16 2026 distribution of cycle lengths:
  166. Tue Mar 24 06:30:16 2026 1 relations: 1404803
  167. Tue Mar 24 06:30:16 2026 2 relations: 1481823
  168. Tue Mar 24 06:30:16 2026 3 relations: 1597121
  169. Tue Mar 24 06:30:16 2026 4 relations: 1528460
  170. Tue Mar 24 06:30:16 2026 5 relations: 1473456
  171. Tue Mar 24 06:30:16 2026 6 relations: 1323425
  172. Tue Mar 24 06:30:16 2026 7 relations: 1177185
  173. Tue Mar 24 06:30:16 2026 8 relations: 984854
  174. Tue Mar 24 06:30:16 2026 9 relations: 788462
  175. Tue Mar 24 06:30:16 2026 10+ relations: 1819233
  176. Tue Mar 24 06:30:16 2026 heaviest cycle: 18 relations
  177. Tue Mar 24 06:30:59 2026
  178. Tue Mar 24 06:30:59 2026 trying target density 100
  179. Tue Mar 24 06:30:59 2026 commencing full merge
  180. Tue Mar 24 06:41:15 2026 memory use: 2698.9 MB
  181. Tue Mar 24 06:41:21 2026 found 12694921 cycles, need 12452822
  182. Tue Mar 24 06:41:27 2026 weight of 12452822 cycles is about 1245663846 (100.03/cycle)
  183. Tue Mar 24 06:41:28 2026 distribution of cycle lengths:
  184. Tue Mar 24 06:41:28 2026 1 relations: 992807
  185. Tue Mar 24 06:41:28 2026 2 relations: 1006261
  186. Tue Mar 24 06:41:28 2026 3 relations: 1101550
  187. Tue Mar 24 06:41:28 2026 4 relations: 1084157
  188. Tue Mar 24 06:41:28 2026 5 relations: 1098577
  189. Tue Mar 24 06:41:28 2026 6 relations: 1061267
  190. Tue Mar 24 06:41:28 2026 7 relations: 998874
  191. Tue Mar 24 06:41:28 2026 8 relations: 911501
  192. Tue Mar 24 06:41:28 2026 9 relations: 822961
  193. Tue Mar 24 06:41:28 2026 10+ relations: 3374867
  194. Tue Mar 24 06:41:28 2026 heaviest cycle: 22 relations
  195. Tue Mar 24 06:41:33 2026 target density 100 succeeded, avg weight 100.03
  196. Tue Mar 24 06:41:34 2026 commencing cycle optimization
  197. Tue Mar 24 06:42:14 2026 start with 87385948 relations
  198. Tue Mar 24 06:46:22 2026 pruned 2713552 relations
  199. Tue Mar 24 06:46:24 2026 memory use: 2697.7 MB
  200. Tue Mar 24 06:46:24 2026 distribution of cycle lengths:
  201. Tue Mar 24 06:46:24 2026 1 relations: 992807
  202. Tue Mar 24 06:46:24 2026 2 relations: 1032112
  203. Tue Mar 24 06:46:24 2026 3 relations: 1143660
  204. Tue Mar 24 06:46:24 2026 4 relations: 1121545
  205. Tue Mar 24 06:46:24 2026 5 relations: 1139339
  206. Tue Mar 24 06:46:24 2026 6 relations: 1095170
  207. Tue Mar 24 06:46:24 2026 7 relations: 1031488
  208. Tue Mar 24 06:46:24 2026 8 relations: 934464
  209. Tue Mar 24 06:46:24 2026 9 relations: 838103
  210. Tue Mar 24 06:46:24 2026 10+ relations: 3124134
  211. Tue Mar 24 06:46:24 2026 heaviest cycle: 22 relations
  212. Tue Mar 24 06:47:08 2026
  213. Tue Mar 24 06:47:08 2026 trying target density 120
  214. Tue Mar 24 06:47:08 2026 commencing full merge
  215. Tue Mar 24 06:59:53 2026 memory use: 2723.3 MB
  216. Tue Mar 24 06:59:59 2026 found 11853829 cycles, need 11672822
  217. Tue Mar 24 07:00:05 2026 weight of 11672822 cycles is about 1401477780 (120.06/cycle)
  218. Tue Mar 24 07:00:05 2026 distribution of cycle lengths:
  219. Tue Mar 24 07:00:05 2026 1 relations: 786420
  220. Tue Mar 24 07:00:05 2026 2 relations: 751903
  221. Tue Mar 24 07:00:05 2026 3 relations: 819948
  222. Tue Mar 24 07:00:05 2026 4 relations: 834328
  223. Tue Mar 24 07:00:05 2026 5 relations: 859249
  224. Tue Mar 24 07:00:05 2026 6 relations: 855214
  225. Tue Mar 24 07:00:05 2026 7 relations: 826234
  226. Tue Mar 24 07:00:05 2026 8 relations: 796829
  227. Tue Mar 24 07:00:05 2026 9 relations: 749421
  228. Tue Mar 24 07:00:05 2026 10+ relations: 4393276
  229. Tue Mar 24 07:00:05 2026 heaviest cycle: 27 relations
  230. Tue Mar 24 07:00:09 2026 target density 120 succeeded, avg weight 120.06
  231. Tue Mar 24 07:00:11 2026 commencing cycle optimization
  232. Tue Mar 24 07:00:54 2026 start with 97876425 relations
  233. Tue Mar 24 07:06:17 2026 pruned 3742928 relations
  234. Tue Mar 24 07:06:17 2026 memory use: 2799.1 MB
  235. Tue Mar 24 07:06:17 2026 distribution of cycle lengths:
  236. Tue Mar 24 07:06:17 2026 1 relations: 786420
  237. Tue Mar 24 07:06:17 2026 2 relations: 772287
  238. Tue Mar 24 07:06:17 2026 3 relations: 853143
  239. Tue Mar 24 07:06:17 2026 4 relations: 866703
  240. Tue Mar 24 07:06:17 2026 5 relations: 897633
  241. Tue Mar 24 07:06:17 2026 6 relations: 889259
  242. Tue Mar 24 07:06:17 2026 7 relations: 863750
  243. Tue Mar 24 07:06:17 2026 8 relations: 829117
  244. Tue Mar 24 07:06:17 2026 9 relations: 776364
  245. Tue Mar 24 07:06:17 2026 10+ relations: 4138146
  246. Tue Mar 24 07:06:17 2026 heaviest cycle: 26 relations
  247. Tue Mar 24 07:07:03 2026
  248. Tue Mar 24 07:07:03 2026 trying target density 140
  249. Tue Mar 24 07:07:03 2026 commencing full merge
  250. Tue Mar 24 07:21:10 2026 memory use: 2720.8 MB
  251. Tue Mar 24 07:21:15 2026 found 11137640 cycles, need 11092822
  252. Tue Mar 24 07:21:20 2026 weight of 11092822 cycles is about 1553825990 (140.07/cycle)
  253. Tue Mar 24 07:21:20 2026 distribution of cycle lengths:
  254. Tue Mar 24 07:21:20 2026 1 relations: 644896
  255. Tue Mar 24 07:21:20 2026 2 relations: 599673
  256. Tue Mar 24 07:21:20 2026 3 relations: 647354
  257. Tue Mar 24 07:21:20 2026 4 relations: 665691
  258. Tue Mar 24 07:21:20 2026 5 relations: 694108
  259. Tue Mar 24 07:21:20 2026 6 relations: 698586
  260. Tue Mar 24 07:21:20 2026 7 relations: 697532
  261. Tue Mar 24 07:21:20 2026 8 relations: 680205
  262. Tue Mar 24 07:21:20 2026 9 relations: 654375
  263. Tue Mar 24 07:21:20 2026 10+ relations: 5110402
  264. Tue Mar 24 07:21:20 2026 heaviest cycle: 28 relations
  265. Tue Mar 24 07:21:24 2026 target density 140 succeeded, avg weight 140.07
  266. Tue Mar 24 07:21:25 2026 commencing cycle optimization
  267. Tue Mar 24 07:22:03 2026 start with 107982235 relations
  268. Tue Mar 24 07:28:48 2026 pruned 4823492 relations
  269. Tue Mar 24 07:28:48 2026 memory use: 2896.3 MB
  270. Tue Mar 24 07:28:48 2026 distribution of cycle lengths:
  271. Tue Mar 24 07:28:48 2026 1 relations: 644896
  272. Tue Mar 24 07:28:48 2026 2 relations: 616138
  273. Tue Mar 24 07:28:48 2026 3 relations: 673840
  274. Tue Mar 24 07:28:48 2026 4 relations: 693514
  275. Tue Mar 24 07:28:48 2026 5 relations: 728415
  276. Tue Mar 24 07:28:48 2026 6 relations: 730875
  277. Tue Mar 24 07:28:48 2026 7 relations: 733131
  278. Tue Mar 24 07:28:48 2026 8 relations: 714254
  279. Tue Mar 24 07:28:48 2026 9 relations: 687490
  280. Tue Mar 24 07:28:48 2026 10+ relations: 4870269
  281. Tue Mar 24 07:28:48 2026 heaviest cycle: 28 relations
  282. Tue Mar 24 07:29:31 2026 RelProcTime: 6676
  283. Tue Mar 24 07:29:31 2026
  284. Tue Mar 24 07:29:31 2026 commencing linear algebra
  285. Tue Mar 24 07:29:31 2026 using VBITS=256
  286. Tue Mar 24 07:29:31 2026 building matrices for all .cyc.## files
  287. Tue Mar 24 07:29:31 2026
  288. Tue Mar 24 07:29:31 2026 building matrix for density 100
  289. Tue Mar 24 07:29:33 2026 read 12452822 cycles
  290. Tue Mar 24 07:30:06 2026 cycles contain 43350618 unique relations
  291. Tue Mar 24 07:35:52 2026 read 43350618 relations
  292. Tue Mar 24 07:36:10 2026 using 20 quadratic characters above 4294917295
  293. Tue Mar 24 07:36:33 2026 building initial matrix
  294. Tue Mar 24 07:48:36 2026 memory use: 6037.3 MB
  295. Tue Mar 24 07:48:44 2026 read 12452822 cycles
  296. Tue Mar 24 07:48:46 2026 matrix is 12452626 x 12452822 (5076.9 MB) with weight 1554025716 (124.79/col)
  297. Tue Mar 24 07:48:46 2026 sparse part has weight 1181436016 (94.87/col)
  298. Tue Mar 24 07:51:34 2026 filtering completed in 2 passes
  299. Tue Mar 24 07:51:37 2026 matrix is 12445691 x 12445882 (5076.1 MB) with weight 1553693840 (124.84/col)
  300. Tue Mar 24 07:51:37 2026 sparse part has weight 1181314575 (94.92/col)
  301. Tue Mar 24 07:52:09 2026
  302. Tue Mar 24 07:52:09 2026 building matrix for density 120
  303. Tue Mar 24 07:52:13 2026 read 11672822 cycles
  304. Tue Mar 24 07:52:37 2026 cycles contain 43359997 unique relations
  305. Tue Mar 24 07:55:02 2026 read 43359997 relations
  306. Tue Mar 24 07:55:22 2026 using 20 quadratic characters above 4294917295
  307. Tue Mar 24 07:55:47 2026 building initial matrix
  308. Tue Mar 24 08:07:39 2026 memory use: 6050.8 MB
  309. Tue Mar 24 08:07:47 2026 read 11672822 cycles
  310. Tue Mar 24 08:07:49 2026 matrix is 11672636 x 11672822 (5524.7 MB) with weight 1675358993 (143.53/col)
  311. Tue Mar 24 08:07:49 2026 sparse part has weight 1308195116 (112.07/col)
  312. Tue Mar 24 08:10:46 2026 filtering completed in 2 passes
  313. Tue Mar 24 08:10:50 2026 matrix is 11669725 x 11669906 (5524.3 MB) with weight 1675200570 (143.55/col)
  314. Tue Mar 24 08:10:50 2026 sparse part has weight 1308132497 (112.09/col)
  315. Tue Mar 24 08:11:26 2026
  316. Tue Mar 24 08:11:26 2026 building matrix for density 140
  317. Tue Mar 24 08:11:27 2026 read 11092822 cycles
  318. Tue Mar 24 08:11:56 2026 cycles contain 43355551 unique relations
  319. Tue Mar 24 08:13:25 2026 read 43355551 relations
  320. Tue Mar 24 08:13:47 2026 using 20 quadratic characters above 4294917295
  321. Tue Mar 24 08:14:11 2026 building initial matrix
  322. Tue Mar 24 08:27:35 2026 memory use: 6067.1 MB
  323. Tue Mar 24 08:27:42 2026 read 11092822 cycles
  324. Tue Mar 24 08:27:44 2026 matrix is 11092645 x 11092822 (5960.6 MB) with weight 1792531385 (161.59/col)
  325. Tue Mar 24 08:27:44 2026 sparse part has weight 1429420260 (128.86/col)
  326. Tue Mar 24 08:30:27 2026 filtering completed in 2 passes
  327. Tue Mar 24 08:30:31 2026 matrix is 11092110 x 11092283 (5960.5 MB) with weight 1792502901 (161.60/col)
  328. Tue Mar 24 08:30:31 2026 sparse part has weight 1429410809 (128.87/col)
  329. Tue Mar 24 08:31:10 2026
  330. Tue Mar 24 08:31:10 2026 building matrix for density 80
  331. Tue Mar 24 08:31:12 2026 read 13578822 cycles
  332. Tue Mar 24 08:31:34 2026 cycles contain 43321435 unique relations
  333. Tue Mar 24 08:32:57 2026 read 43321435 relations
  334. Tue Mar 24 08:33:13 2026 using 20 quadratic characters above 4294917295
  335. Tue Mar 24 08:33:37 2026 building initial matrix
  336. Tue Mar 24 08:43:01 2026 memory use: 6062.4 MB
  337. Tue Mar 24 08:43:07 2026 read 13578822 cycles
  338. Tue Mar 24 08:43:09 2026 matrix is 13578638 x 13578822 (4619.0 MB) with weight 1428550373 (105.20/col)
  339. Tue Mar 24 08:43:09 2026 sparse part has weight 1047909037 (77.17/col)
  340. Tue Mar 24 08:45:44 2026 filtering completed in 2 passes
  341. Tue Mar 24 08:45:47 2026 matrix is 13563767 x 13563943 (4617.7 MB) with weight 1427978934 (105.28/col)
  342. Tue Mar 24 08:45:47 2026 sparse part has weight 1047741217 (77.24/col)
  343. Tue Mar 24 08:46:21 2026 BLanczosTime: 4610
  344. Tue Mar 24 08:46:21 2026 elapsed time 03:08:07
  345. Tue Mar 24 09:35:24 2026
  346. Tue Mar 24 09:35:24 2026
  347. Tue Mar 24 09:35:24 2026 Msieve v. 1.54 (SVN Unversioned directory)
  348. Tue Mar 24 09:35:24 2026 random seeds: 7f87cbca 15e69d6c
  349. Tue Mar 24 09:35:24 2026 Using 8 OpenMP threads
  350. Tue Mar 24 09:35:24 2026 factoring 18735162278717130205453807940596609992329054312608567305226188037499641086965290619074620109631672317925761441406795285205440863803344513105948566310531031837110522133219167143 (176 digits)
  351. Tue Mar 24 09:35:25 2026 searching for 15-digit factors
  352. Tue Mar 24 09:35:25 2026 commencing number field sieve (176-digit input)
  353. Tue Mar 24 09:35:25 2026 R0: -10929728379621536462201902373740377
  354. Tue Mar 24 09:35:25 2026 R1: 3696231563387688056869
  355. Tue Mar 24 09:35:25 2026 A0: -32139032266537438464909892639596024258448
  356. Tue Mar 24 09:35:25 2026 A1: 12995728178902383115231471959211270
  357. Tue Mar 24 09:35:25 2026 A2: -303433329930635198339770427
  358. Tue Mar 24 09:35:25 2026 A3: -200580846320449269435
  359. Tue Mar 24 09:35:25 2026 A4: -7704776538070
  360. Tue Mar 24 09:35:25 2026 A5: 240240
  361. Tue Mar 24 09:35:25 2026 skew 1.00, size 5.553e-17, alpha -6.335, combined = 9.816e-16 rroots = 3
  362. Tue Mar 24 09:35:25 2026
  363. Tue Mar 24 09:35:25 2026 commencing linear algebra
  364. Tue Mar 24 09:35:25 2026 using VBITS=256
  365. Tue Mar 24 09:35:25 2026 selected density 80 for linear algebra
  366. Tue Mar 24 09:35:31 2026 matrix starts at (0, 0)
  367. Tue Mar 24 09:35:32 2026 matrix is 13563767 x 13563943 (4617.7 MB) with weight 1427978934 (105.28/col)
  368. Tue Mar 24 09:35:32 2026 sparse part has weight 1047741217 (77.24/col)
  369. Tue Mar 24 09:35:32 2026 saving the first 240 matrix rows for later
  370. Tue Mar 24 09:35:36 2026 matrix includes 256 packed rows
  371. Tue Mar 24 09:35:38 2026 matrix is 13563527 x 13563943 (4235.5 MB) with weight 951773170 (70.17/col)
  372. Tue Mar 24 09:35:38 2026 sparse part has weight 893278509 (65.86/col)
  373. Tue Mar 24 09:35:39 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  374. Tue Mar 24 09:35:39 2026 selected card has CUDA arch 12.0
  375. Tue Mar 24 09:37:37 2026 commencing Lanczos iteration
  376. Tue Mar 24 09:37:50 2026 memory use: 10230.2 MB
  377. Tue Mar 24 09:38:24 2026 linear algebra at 0.2%, ETA 4h10m
  378. Tue Mar 24 09:39:15 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  379. Tue Mar 24 15:17:00 2026 lanczos halted after 53142 iterations (dim = 13563527)
  380. Tue Mar 24 15:18:07 2026 recovered 33 nontrivial dependencies
  381. Tue Mar 24 15:18:09 2026 BLanczosTime: 20564
  382. Tue Mar 24 15:18:09 2026
  383. Tue Mar 24 15:18:09 2026 commencing square root phase
  384. Tue Mar 24 15:18:09 2026 handling dependencies 1 to 64
  385. Tue Mar 24 15:18:09 2026 reading relations for dependency 1
  386. Tue Mar 24 15:18:15 2026 read 6782757 cycles
  387. Tue Mar 24 15:18:29 2026 cycles contain 21664280 unique relations
  388. Tue Mar 24 15:24:34 2026 read 21664280 relations
  389. Tue Mar 24 15:26:33 2026 multiplying 21664280 relations
  390. Tue Mar 24 15:29:25 2026 multiply complete, coefficients have about 1212.68 million bits
  391. Tue Mar 24 15:29:28 2026 initial square root is modulo 275389
  392. Tue Mar 24 15:36:14 2026 GCD is 1, no factor found
  393. Tue Mar 24 15:36:14 2026 reading relations for dependency 2
  394. Tue Mar 24 15:36:15 2026 read 6781391 cycles
  395. Tue Mar 24 15:36:27 2026 cycles contain 21653984 unique relations
  396. Tue Mar 24 15:37:49 2026 read 21653984 relations
  397. Tue Mar 24 15:39:39 2026 multiplying 21653984 relations
  398. Tue Mar 24 15:42:23 2026 multiply complete, coefficients have about 1212.10 million bits
  399. Tue Mar 24 15:42:28 2026 initial square root is modulo 273629
  400. Tue Mar 24 15:49:03 2026 GCD is 1, no factor found
  401. Tue Mar 24 15:49:03 2026 reading relations for dependency 3
  402. Tue Mar 24 15:49:04 2026 read 6780144 cycles
  403. Tue Mar 24 15:49:16 2026 cycles contain 21654960 unique relations
  404. Tue Mar 24 15:50:00 2026 read 21654960 relations
  405. Tue Mar 24 15:51:51 2026 multiplying 21654960 relations
  406. Tue Mar 24 15:54:50 2026 multiply complete, coefficients have about 1212.15 million bits
  407. Tue Mar 24 15:54:53 2026 initial square root is modulo 273797
  408. Tue Mar 24 16:01:45 2026 sqrtTime: 2616
  409. Tue Mar 24 16:01:45 2026 p67 factor: 3995531613665833487598084186838943723172321820488381266267936133617
  410. Tue Mar 24 16:01:45 2026 p109 factor: 4689028667583969356087028377421471585511808258805774354657848119453006742551620579116340769949623651139264279
  411. Tue Mar 24 16:01:45 2026 elapsed time 06:26:21
  412.  
Tags: math
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