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C184_1488_i1647 msieve.log

kyleaskine
Sep 29th, 2026
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  1. Mon Sep 28 16:22:55 2026
  2. Mon Sep 28 16:22:55 2026
  3. Mon Sep 28 16:22:55 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 28 16:22:55 2026 random seeds: cfd3d7eb 07a9908c
  5. Mon Sep 28 16:22:55 2026 Using 8 OpenMP threads
  6. Mon Sep 28 16:22:55 2026 factoring 7867307235191357107963663896161072768073768625595165074872356908389224409296738635611414096985303558732178236917760228630001870984412462404936706446461088784471900113034687024964712287 (184 digits)
  7. Mon Sep 28 16:22:55 2026 no P-1/P+1/ECM available, skipping
  8. Mon Sep 28 16:22:55 2026 commencing number field sieve (184-digit input)
  9. Mon Sep 28 16:22:55 2026 R0: -676701522131696534770016184900303798
  10. Mon Sep 28 16:22:55 2026 R1: 98277401496934337051953
  11. Mon Sep 28 16:22:55 2026 A0: -9556489892472200635164546988444412082152544
  12. Mon Sep 28 16:22:55 2026 A1: -1634663271036835977436322189665379405
  13. Mon Sep 28 16:22:55 2026 A2: 27704372820334575645843239992
  14. Mon Sep 28 16:22:55 2026 A3: -29615402427463021355
  15. Mon Sep 28 16:22:55 2026 A4: 90303045266256
  16. Mon Sep 28 16:22:55 2026 A5: 332640
  17. Mon Sep 28 16:22:55 2026 skew 43580911.49, size 7.849e-18, alpha -7.862, combined = 6.317e-14 rroots = 3
  18. Mon Sep 28 16:22:55 2026
  19. Mon Sep 28 16:22:55 2026 commencing relation filtering
  20. Mon Sep 28 16:22:55 2026 setting 3 target densities:Mon Sep 28 16:22:55 2026 90Mon Sep 28 16:22:55 2026 110Mon Sep 28 16:22:55 2026 130Mon Sep 28 16:22:55 2026
  21. Mon Sep 28 16:22:55 2026 estimated available RAM is 78540.1 MB
  22. Mon Sep 28 16:22:55 2026 commencing duplicate removal, pass 1
  23. Mon Sep 28 16:23:22 2026 error -1 reading relation 18361515
  24. Mon Sep 28 16:23:59 2026 error -1 reading relation 44999376
  25. Mon Sep 28 16:24:30 2026 error -1 reading relation 65757705
  26. Mon Sep 28 16:24:31 2026 error -1 reading relation 66674952
  27. Mon Sep 28 16:24:31 2026 error -1 reading relation 66791313
  28. Mon Sep 28 16:24:44 2026 error -1 reading relation 75739120
  29. Mon Sep 28 16:24:47 2026 error -1 reading relation 77873713
  30. Mon Sep 28 16:24:55 2026 error -1 reading relation 84567925
  31. Mon Sep 28 16:25:01 2026 error -1 reading relation 88526511
  32. Mon Sep 28 16:25:02 2026 error -1 reading relation 89164628
  33. Mon Sep 28 16:25:02 2026 error -1 reading relation 89169257
  34. Mon Sep 28 16:25:04 2026 error -1 reading relation 90442357
  35. Mon Sep 28 16:25:10 2026 error -1 reading relation 93684180
  36. Mon Sep 28 16:25:10 2026 error -1 reading relation 93784608
  37. Mon Sep 28 16:25:17 2026 error -1 reading relation 98135129
  38. Mon Sep 28 16:25:18 2026 error -1 reading relation 98869269
  39. Mon Sep 28 16:25:27 2026 error -1 reading relation 106106230
  40. Mon Sep 28 16:25:30 2026 error -1 reading relation 107608775
  41. Mon Sep 28 16:25:40 2026 error -1 reading relation 113155834
  42. Mon Sep 28 16:25:47 2026 error -1 reading relation 117216405
  43. Mon Sep 28 16:25:53 2026 error -1 reading relation 122233226
  44. Mon Sep 28 16:25:53 2026 error -1 reading relation 122233227
  45. Mon Sep 28 16:25:53 2026 error -1 reading relation 122462955
  46. Mon Sep 28 16:25:54 2026 error -15 reading relation 122634852
  47. Mon Sep 28 16:25:54 2026 error -1 reading relation 122634853
  48. Mon Sep 28 16:26:01 2026 error -1 reading relation 126713929
  49. Mon Sep 28 16:26:20 2026 error -1 reading relation 139114862
  50. Mon Sep 28 16:26:23 2026 error -1 reading relation 141227342
  51. Mon Sep 28 16:26:26 2026 error -1 reading relation 143336654
  52. Mon Sep 28 16:26:27 2026 error -1 reading relation 144161879
  53. Mon Sep 28 16:26:34 2026 error -1 reading relation 148020282
  54. Mon Sep 28 16:26:42 2026 error -1 reading relation 152841818
  55. Mon Sep 28 16:26:46 2026 error -15 reading relation 156785041
  56. Mon Sep 28 16:26:47 2026 error -1 reading relation 157349322
  57. Mon Sep 28 16:26:47 2026 error -1 reading relation 157457943
  58. Mon Sep 28 16:26:49 2026 error -1 reading relation 158235352
  59. Mon Sep 28 16:26:52 2026 error -1 reading relation 160721197
  60. Mon Sep 28 16:26:56 2026 error -1 reading relation 164235374
  61. Mon Sep 28 16:26:57 2026 error -1 reading relation 164977440
  62. Mon Sep 28 16:26:58 2026 error -1 reading relation 166717307
  63. Mon Sep 28 16:26:59 2026 error -1 reading relation 166969411
  64. Mon Sep 28 16:26:59 2026 error -1 reading relation 167218587
  65. Mon Sep 28 16:27:02 2026 error -1 reading relation 170055920
  66. Mon Sep 28 16:27:04 2026 error -1 reading relation 171788228
  67. Mon Sep 28 16:27:05 2026 error -1 reading relation 172546450
  68. Mon Sep 28 16:27:22 2026 error -1 reading relation 183687601
  69. Mon Sep 28 16:27:30 2026 error -1 reading relation 188820159
  70. Mon Sep 28 16:27:31 2026 error -1 reading relation 189121720
  71. Mon Sep 28 16:27:35 2026 error -1 reading relation 191542615
  72. Mon Sep 28 16:27:35 2026 error -1 reading relation 191834980
  73. Mon Sep 28 16:27:36 2026 error -1 reading relation 191963494
  74. Mon Sep 28 16:27:36 2026 error -1 reading relation 192143842
  75. Mon Sep 28 16:27:36 2026 error -1 reading relation 192311808
  76. Mon Sep 28 16:27:41 2026 error -1 reading relation 195483586
  77. Mon Sep 28 16:27:45 2026 error -1 reading relation 199111422
  78. Mon Sep 28 16:27:47 2026 error -1 reading relation 199890762
  79. Mon Sep 28 16:28:00 2026 error -1 reading relation 208042968
  80. Mon Sep 28 16:28:05 2026 error -1 reading relation 210613677
  81. Mon Sep 28 16:28:05 2026 error -1 reading relation 210905048
  82. Mon Sep 28 16:28:10 2026 error -1 reading relation 213674454
  83. Mon Sep 28 16:28:16 2026 error -1 reading relation 218795635
  84. Mon Sep 28 16:28:37 2026 error -1 reading relation 231569554
  85. Mon Sep 28 16:28:43 2026 error -1 reading relation 234699984
  86. Mon Sep 28 16:28:50 2026 error -1 reading relation 240306023
  87. Mon Sep 28 16:28:59 2026 error -1 reading relation 245388784
  88. Mon Sep 28 16:29:00 2026 error -1 reading relation 246112031
  89. Mon Sep 28 16:29:00 2026 error -1 reading relation 246130557
  90. Mon Sep 28 16:29:19 2026 error -1 reading relation 259080111
  91. Mon Sep 28 16:29:24 2026 error -1 reading relation 261931801
  92. Mon Sep 28 16:29:25 2026 error -1 reading relation 262057273
  93. Mon Sep 28 16:29:33 2026 error -1 reading relation 266717652
  94. Mon Sep 28 16:29:34 2026 error -1 reading relation 267278189
  95. Mon Sep 28 16:29:36 2026 error -1 reading relation 268489121
  96. Mon Sep 28 16:29:40 2026 error -1 reading relation 271283406
  97. Mon Sep 28 16:29:42 2026 error -1 reading relation 272356757
  98. Mon Sep 28 16:29:42 2026 error -1 reading relation 272532277
  99. Mon Sep 28 16:29:43 2026 error -1 reading relation 272621983
  100. Mon Sep 28 16:29:45 2026 error -1 reading relation 274210579
  101. Mon Sep 28 16:29:45 2026 error -1 reading relation 275551055
  102. Mon Sep 28 16:30:05 2026 error -1 reading relation 287129609
  103. Mon Sep 28 16:30:09 2026 error -1 reading relation 289411790
  104. Mon Sep 28 16:30:12 2026 error -1 reading relation 291194142
  105. Mon Sep 28 16:30:21 2026 error -1 reading relation 298271407
  106. Mon Sep 28 16:30:26 2026 error -1 reading relation 301387377
  107. Mon Sep 28 16:30:27 2026 error -1 reading relation 301850058
  108. Mon Sep 28 16:30:27 2026 error -1 reading relation 301857264
  109. Mon Sep 28 16:30:34 2026 error -1 reading relation 305956145
  110. Mon Sep 28 16:30:42 2026 error -1 reading relation 310616640
  111. Mon Sep 28 16:30:43 2026 error -1 reading relation 311338925
  112. Mon Sep 28 16:30:56 2026 error -1 reading relation 320506392
  113. Mon Sep 28 16:30:56 2026 error -1 reading relation 320583956
  114. Mon Sep 28 16:30:56 2026 error -1 reading relation 320601691
  115. Mon Sep 28 16:31:04 2026 error -1 reading relation 325132580
  116. Mon Sep 28 16:31:04 2026 error -1 reading relation 325413927
  117. Mon Sep 28 16:31:06 2026 error -15 reading relation 326629904
  118. Mon Sep 28 16:31:09 2026 error -1 reading relation 328339275
  119. Mon Sep 28 16:31:16 2026 error -1 reading relation 334685247
  120. Mon Sep 28 16:31:18 2026 error -1 reading relation 336436331
  121. Mon Sep 28 16:31:19 2026 error -1 reading relation 337243543
  122. Mon Sep 28 16:31:20 2026 error -1 reading relation 338023697
  123. Mon Sep 28 16:31:21 2026 error -1 reading relation 338413283
  124. Mon Sep 28 16:31:21 2026 skipped 721 malformed relations
  125. Mon Sep 28 16:31:21 2026 found 74450996 hash collisions in 338476484 relations
  126. Mon Sep 28 16:31:34 2026 added 121619 free relations
  127. Mon Sep 28 16:31:34 2026 commencing duplicate removal, pass 2
  128. Mon Sep 28 16:33:47 2026 found 80985502 duplicates and 257612601 unique relations
  129. Mon Sep 28 16:33:47 2026 memory use: 1705.5 MB
  130. Mon Sep 28 16:33:48 2026 reading ideals above 720000
  131. Mon Sep 28 16:33:48 2026 commencing singleton removal, initial pass
  132. Mon Sep 28 16:47:02 2026 memory use: 6024.0 MB
  133. Mon Sep 28 16:47:02 2026 reading all ideals from disk
  134. Mon Sep 28 16:47:09 2026 memory use: 12617.4 MB
  135. Mon Sep 28 16:47:24 2026 keeping 246607531 ideals with weight <= 200, target excess is 1351963
  136. Mon Sep 28 16:47:44 2026 commencing in-memory singleton removal
  137. Mon Sep 28 16:47:48 2026 begin with 257612601 relations and 246607531 unique ideals
  138. Mon Sep 28 16:48:13 2026 reduce to 156071434 relations and 134265900 ideals in 15 passes
  139. Mon Sep 28 16:48:13 2026 max relations containing the same ideal: 151
  140. Mon Sep 28 16:48:55 2026 removing 12539360 relations and 10539360 ideals in 2000000 cliques
  141. Mon Sep 28 16:48:58 2026 commencing in-memory singleton removal
  142. Mon Sep 28 16:49:00 2026 begin with 143532074 relations and 134265900 unique ideals
  143. Mon Sep 28 16:49:10 2026 reduce to 142743938 relations and 122925296 ideals in 9 passes
  144. Mon Sep 28 16:49:10 2026 max relations containing the same ideal: 144
  145. Mon Sep 28 16:49:48 2026 removing 9625473 relations and 7625473 ideals in 2000000 cliques
  146. Mon Sep 28 16:49:51 2026 commencing in-memory singleton removal
  147. Mon Sep 28 16:49:53 2026 begin with 133118465 relations and 122925296 unique ideals
  148. Mon Sep 28 16:50:02 2026 reduce to 132584615 relations and 114758285 ideals in 7 passes
  149. Mon Sep 28 16:50:02 2026 max relations containing the same ideal: 139
  150. Mon Sep 28 16:50:35 2026 removing 8754130 relations and 6754130 ideals in 2000000 cliques
  151. Mon Sep 28 16:50:38 2026 commencing in-memory singleton removal
  152. Mon Sep 28 16:50:40 2026 begin with 123830485 relations and 114758285 unique ideals
  153. Mon Sep 28 16:50:49 2026 reduce to 123349116 relations and 107515744 ideals in 8 passes
  154. Mon Sep 28 16:50:49 2026 max relations containing the same ideal: 130
  155. Mon Sep 28 16:51:23 2026 removing 8317663 relations and 6317663 ideals in 2000000 cliques
  156. Mon Sep 28 16:51:26 2026 commencing in-memory singleton removal
  157. Mon Sep 28 16:51:28 2026 begin with 115031453 relations and 107515744 unique ideals
  158. Mon Sep 28 16:51:36 2026 reduce to 114562669 relations and 100722438 ideals in 8 passes
  159. Mon Sep 28 16:51:36 2026 max relations containing the same ideal: 126
  160. Mon Sep 28 16:52:06 2026 removing 8075066 relations and 6075066 ideals in 2000000 cliques
  161. Mon Sep 28 16:52:08 2026 commencing in-memory singleton removal
  162. Mon Sep 28 16:52:10 2026 begin with 106487603 relations and 100722438 unique ideals
  163. Mon Sep 28 16:52:18 2026 reduce to 106013678 relations and 94166093 ideals in 8 passes
  164. Mon Sep 28 16:52:18 2026 max relations containing the same ideal: 119
  165. Mon Sep 28 16:52:46 2026 removing 7938620 relations and 5938620 ideals in 2000000 cliques
  166. Mon Sep 28 16:52:48 2026 commencing in-memory singleton removal
  167. Mon Sep 28 16:52:49 2026 begin with 98075058 relations and 94166093 unique ideals
  168. Mon Sep 28 16:52:56 2026 reduce to 97583418 relations and 87727612 ideals in 7 passes
  169. Mon Sep 28 16:52:56 2026 max relations containing the same ideal: 112
  170. Mon Sep 28 16:53:22 2026 removing 7869138 relations and 5869138 ideals in 2000000 cliques
  171. Mon Sep 28 16:53:24 2026 commencing in-memory singleton removal
  172. Mon Sep 28 16:53:25 2026 begin with 89714280 relations and 87727612 unique ideals
  173. Mon Sep 28 16:53:32 2026 reduce to 89187546 relations and 81322330 ideals in 8 passes
  174. Mon Sep 28 16:53:32 2026 max relations containing the same ideal: 105
  175. Mon Sep 28 16:53:55 2026 removing 7864378 relations and 5864378 ideals in 2000000 cliques
  176. Mon Sep 28 16:53:57 2026 commencing in-memory singleton removal
  177. Mon Sep 28 16:53:58 2026 begin with 81323168 relations and 81322330 unique ideals
  178. Mon Sep 28 16:54:04 2026 reduce to 80747234 relations and 74870859 ideals in 8 passes
  179. Mon Sep 28 16:54:04 2026 max relations containing the same ideal: 100
  180. Mon Sep 28 16:54:26 2026 removing 7906538 relations and 5906538 ideals in 2000000 cliques
  181. Mon Sep 28 16:54:28 2026 commencing in-memory singleton removal
  182. Mon Sep 28 16:54:29 2026 begin with 72840696 relations and 74870859 unique ideals
  183. Mon Sep 28 16:54:34 2026 reduce to 72196050 relations and 68305938 ideals in 7 passes
  184. Mon Sep 28 16:54:34 2026 max relations containing the same ideal: 91
  185. Mon Sep 28 16:54:54 2026 removing 7999127 relations and 5999127 ideals in 2000000 cliques
  186. Mon Sep 28 16:54:55 2026 commencing in-memory singleton removal
  187. Mon Sep 28 16:54:56 2026 begin with 64196923 relations and 68305938 unique ideals
  188. Mon Sep 28 16:55:02 2026 reduce to 63457486 relations and 61549956 ideals in 11 passes
  189. Mon Sep 28 16:55:02 2026 max relations containing the same ideal: 86
  190. Mon Sep 28 16:55:20 2026 removing 1974032 relations and 1634780 ideals in 339252 cliques
  191. Mon Sep 28 16:55:21 2026 commencing in-memory singleton removal
  192. Mon Sep 28 16:55:22 2026 begin with 61483454 relations and 61549956 unique ideals
  193. Mon Sep 28 16:55:25 2026 reduce to 61440231 relations and 59871737 ideals in 7 passes
  194. Mon Sep 28 16:55:25 2026 max relations containing the same ideal: 84
  195. Mon Sep 28 16:55:43 2026 trying target density 90
  196. Mon Sep 28 16:55:48 2026 relations with 0 large ideals: 5151
  197. Mon Sep 28 16:55:48 2026 relations with 1 large ideals: 22245
  198. Mon Sep 28 16:55:48 2026 relations with 2 large ideals: 322782
  199. Mon Sep 28 16:55:48 2026 relations with 3 large ideals: 2004063
  200. Mon Sep 28 16:55:48 2026 relations with 4 large ideals: 6748139
  201. Mon Sep 28 16:55:48 2026 relations with 5 large ideals: 13538990
  202. Mon Sep 28 16:55:48 2026 relations with 6 large ideals: 16934771
  203. Mon Sep 28 16:55:48 2026 relations with 7+ large ideals: 21864090
  204. Mon Sep 28 16:55:48 2026 commencing 2-way merge
  205. Mon Sep 28 16:56:16 2026 reduce to 38673487 relation sets and 37104993 unique ideals
  206. Mon Sep 28 16:56:16 2026 commencing full merge
  207. Mon Sep 28 17:03:28 2026 memory use: 4407.7 MB
  208. Mon Sep 28 17:03:29 2026 found 19164884 cycles, need 18953193
  209. Mon Sep 28 17:03:33 2026 weight of 18953193 cycles is about 1706075723 (90.02/cycle)
  210. Mon Sep 28 17:03:33 2026 distribution of cycle lengths:
  211. Mon Sep 28 17:03:33 2026 1 relations: 2007830
  212. Mon Sep 28 17:03:33 2026 2 relations: 1877238
  213. Mon Sep 28 17:03:33 2026 3 relations: 1906433
  214. Mon Sep 28 17:03:33 2026 4 relations: 1840668
  215. Mon Sep 28 17:03:33 2026 5 relations: 1737162
  216. Mon Sep 28 17:03:33 2026 6 relations: 1634664
  217. Mon Sep 28 17:03:33 2026 7 relations: 1483386
  218. Mon Sep 28 17:03:33 2026 8 relations: 1322400
  219. Mon Sep 28 17:03:33 2026 9 relations: 1142620
  220. Mon Sep 28 17:03:33 2026 10+ relations: 4000792
  221. Mon Sep 28 17:03:33 2026 heaviest cycle: 21 relations
  222. Mon Sep 28 17:03:37 2026 commencing cycle optimization
  223. Mon Sep 28 17:03:59 2026 start with 118326053 relations
  224. Mon Sep 28 17:06:00 2026 pruned 3521740 relations
  225. Mon Sep 28 17:06:01 2026 memory use: 3725.4 MB
  226. Mon Sep 28 17:06:01 2026 distribution of cycle lengths:
  227. Mon Sep 28 17:06:01 2026 1 relations: 2007830
  228. Mon Sep 28 17:06:01 2026 2 relations: 1923734
  229. Mon Sep 28 17:06:01 2026 3 relations: 1980299
  230. Mon Sep 28 17:06:01 2026 4 relations: 1896449
  231. Mon Sep 28 17:06:01 2026 5 relations: 1797252
  232. Mon Sep 28 17:06:01 2026 6 relations: 1679030
  233. Mon Sep 28 17:06:01 2026 7 relations: 1522082
  234. Mon Sep 28 17:06:01 2026 8 relations: 1340875
  235. Mon Sep 28 17:06:01 2026 9 relations: 1147832
  236. Mon Sep 28 17:06:01 2026 10+ relations: 3657810
  237. Mon Sep 28 17:06:01 2026 heaviest cycle: 21 relations
  238. Mon Sep 28 17:06:29 2026 trying target density 110
  239. Mon Sep 28 17:06:31 2026 relations with 0 large ideals: 5151
  240. Mon Sep 28 17:06:31 2026 relations with 1 large ideals: 22245
  241. Mon Sep 28 17:06:31 2026 relations with 2 large ideals: 322782
  242. Mon Sep 28 17:06:31 2026 relations with 3 large ideals: 2004063
  243. Mon Sep 28 17:06:31 2026 relations with 4 large ideals: 6748139
  244. Mon Sep 28 17:06:31 2026 relations with 5 large ideals: 13538990
  245. Mon Sep 28 17:06:31 2026 relations with 6 large ideals: 16934771
  246. Mon Sep 28 17:06:31 2026 relations with 7+ large ideals: 21864090
  247. Mon Sep 28 17:06:31 2026 commencing 2-way merge
  248. Mon Sep 28 17:06:59 2026 reduce to 38673487 relation sets and 37104993 unique ideals
  249. Mon Sep 28 17:06:59 2026 commencing full merge
  250. Mon Sep 28 17:15:43 2026 memory use: 4530.7 MB
  251. Mon Sep 28 17:15:47 2026 found 17872503 cycles, need 17695193
  252. Mon Sep 28 17:15:51 2026 weight of 17695193 cycles is about 1947050949 (110.03/cycle)
  253. Mon Sep 28 17:15:51 2026 distribution of cycle lengths:
  254. Mon Sep 28 17:15:51 2026 1 relations: 1382559
  255. Mon Sep 28 17:15:51 2026 2 relations: 1432173
  256. Mon Sep 28 17:15:51 2026 3 relations: 1481117
  257. Mon Sep 28 17:15:51 2026 4 relations: 1434826
  258. Mon Sep 28 17:15:51 2026 5 relations: 1400479
  259. Mon Sep 28 17:15:51 2026 6 relations: 1345508
  260. Mon Sep 28 17:15:51 2026 7 relations: 1280893
  261. Mon Sep 28 17:15:51 2026 8 relations: 1198540
  262. Mon Sep 28 17:15:51 2026 9 relations: 1094920
  263. Mon Sep 28 17:15:51 2026 10+ relations: 5644178
  264. Mon Sep 28 17:15:51 2026 heaviest cycle: 26 relations
  265. Mon Sep 28 17:15:54 2026 commencing cycle optimization
  266. Mon Sep 28 17:16:19 2026 start with 134592184 relations
  267. Mon Sep 28 17:19:23 2026 pruned 4990291 relations
  268. Mon Sep 28 17:19:23 2026 memory use: 3897.5 MB
  269. Mon Sep 28 17:19:24 2026 distribution of cycle lengths:
  270. Mon Sep 28 17:19:24 2026 1 relations: 1382559
  271. Mon Sep 28 17:19:24 2026 2 relations: 1469248
  272. Mon Sep 28 17:19:24 2026 3 relations: 1542032
  273. Mon Sep 28 17:19:24 2026 4 relations: 1486395
  274. Mon Sep 28 17:19:24 2026 5 relations: 1458707
  275. Mon Sep 28 17:19:24 2026 6 relations: 1396219
  276. Mon Sep 28 17:19:24 2026 7 relations: 1330638
  277. Mon Sep 28 17:19:24 2026 8 relations: 1235273
  278. Mon Sep 28 17:19:24 2026 9 relations: 1124595
  279. Mon Sep 28 17:19:24 2026 10+ relations: 5269527
  280. Mon Sep 28 17:19:24 2026 heaviest cycle: 26 relations
  281. Mon Sep 28 17:19:49 2026 trying target density 130
  282. Mon Sep 28 17:19:52 2026 relations with 0 large ideals: 5151
  283. Mon Sep 28 17:19:52 2026 relations with 1 large ideals: 22245
  284. Mon Sep 28 17:19:52 2026 relations with 2 large ideals: 322782
  285. Mon Sep 28 17:19:52 2026 relations with 3 large ideals: 2004063
  286. Mon Sep 28 17:19:52 2026 relations with 4 large ideals: 6748139
  287. Mon Sep 28 17:19:52 2026 relations with 5 large ideals: 13538990
  288. Mon Sep 28 17:19:52 2026 relations with 6 large ideals: 16934771
  289. Mon Sep 28 17:19:52 2026 relations with 7+ large ideals: 21864090
  290. Mon Sep 28 17:19:52 2026 commencing 2-way merge
  291. Mon Sep 28 17:20:18 2026 reduce to 38673487 relation sets and 37104993 unique ideals
  292. Mon Sep 28 17:20:18 2026 commencing full merge
  293. Mon Sep 28 17:30:31 2026 memory use: 4607.3 MB
  294. Mon Sep 28 17:30:33 2026 found 16835505 cycles, need 16775193
  295. Mon Sep 28 17:30:37 2026 weight of 16775193 cycles is about 2181516315 (130.04/cycle)
  296. Mon Sep 28 17:30:37 2026 distribution of cycle lengths:
  297. Mon Sep 28 17:30:37 2026 1 relations: 1005222
  298. Mon Sep 28 17:30:37 2026 2 relations: 1131423
  299. Mon Sep 28 17:30:37 2026 3 relations: 1192761
  300. Mon Sep 28 17:30:37 2026 4 relations: 1167713
  301. Mon Sep 28 17:30:37 2026 5 relations: 1161688
  302. Mon Sep 28 17:30:37 2026 6 relations: 1122363
  303. Mon Sep 28 17:30:37 2026 7 relations: 1102469
  304. Mon Sep 28 17:30:37 2026 8 relations: 1045658
  305. Mon Sep 28 17:30:37 2026 9 relations: 995685
  306. Mon Sep 28 17:30:37 2026 10+ relations: 6850211
  307. Mon Sep 28 17:30:37 2026 heaviest cycle: 28 relations
  308. Mon Sep 28 17:30:40 2026 commencing cycle optimization
  309. Mon Sep 28 17:31:07 2026 start with 150220645 relations
  310. Mon Sep 28 17:35:13 2026 pruned 6529761 relations
  311. Mon Sep 28 17:35:13 2026 memory use: 4056.6 MB
  312. Mon Sep 28 17:35:13 2026 distribution of cycle lengths:
  313. Mon Sep 28 17:35:13 2026 1 relations: 1005222
  314. Mon Sep 28 17:35:13 2026 2 relations: 1161201
  315. Mon Sep 28 17:35:13 2026 3 relations: 1243262
  316. Mon Sep 28 17:35:13 2026 4 relations: 1213791
  317. Mon Sep 28 17:35:13 2026 5 relations: 1215096
  318. Mon Sep 28 17:35:13 2026 6 relations: 1171829
  319. Mon Sep 28 17:35:13 2026 7 relations: 1153498
  320. Mon Sep 28 17:35:13 2026 8 relations: 1090425
  321. Mon Sep 28 17:35:13 2026 9 relations: 1037159
  322. Mon Sep 28 17:35:14 2026 10+ relations: 6483710
  323. Mon Sep 28 17:35:14 2026 heaviest cycle: 28 relations
  324. Mon Sep 28 17:35:39 2026 RelProcTime: 4364
  325. Mon Sep 28 17:35:39 2026
  326. Mon Sep 28 17:35:39 2026 commencing linear algebra
  327. Mon Sep 28 17:35:39 2026 using VBITS=128
  328. Mon Sep 28 17:35:39 2026 building matrices for all densities
  329. Mon Sep 28 17:35:39 2026 found 3 density files
  330. Mon Sep 28 17:35:39 2026 building matrix for density 90
  331. Mon Sep 28 17:35:40 2026 read 18953193 cycles
  332. Mon Sep 28 17:35:57 2026 cycles contain 60510252 unique relations
  333. Mon Sep 28 17:36:47 2026 read 60510252 relations
  334. Mon Sep 28 17:37:04 2026 using 20 quadratic characters above 4294917295
  335. Mon Sep 28 17:37:26 2026 building initial matrix
  336. Mon Sep 28 17:46:21 2026 memory use: 8400.0 MB
  337. Mon Sep 28 17:46:27 2026 read 18953193 cycles
  338. Mon Sep 28 17:46:29 2026 matrix is 18953013 x 18953193 (7090.1 MB) with weight 2185401073 (115.31/col)
  339. Mon Sep 28 17:46:29 2026 sparse part has weight 1631191139 (86.06/col)
  340. Mon Sep 28 17:48:32 2026 filtering completed in 2 passes
  341. Mon Sep 28 17:48:36 2026 matrix is 18948385 x 18948565 (7089.7 MB) with weight 2185221813 (115.32/col)
  342. Mon Sep 28 17:48:36 2026 sparse part has weight 1631146671 (86.08/col)
  343. Mon Sep 28 17:49:11 2026 building matrix for density 110
  344. Mon Sep 28 17:49:12 2026 read 17695193 cycles
  345. Mon Sep 28 17:49:34 2026 cycles contain 60518937 unique relations
  346. Mon Sep 28 17:50:09 2026 read 60518937 relations
  347. Mon Sep 28 17:50:26 2026 using 20 quadratic characters above 4294917295
  348. Mon Sep 28 17:50:47 2026 building initial matrix
  349. Mon Sep 28 18:01:02 2026 memory use: 8419.1 MB
  350. Mon Sep 28 18:01:08 2026 read 17695193 cycles
  351. Mon Sep 28 18:01:10 2026 matrix is 17695014 x 17695193 (7808.8 MB) with weight 2385114980 (134.79/col)
  352. Mon Sep 28 18:01:10 2026 sparse part has weight 1834680672 (103.68/col)
  353. Mon Sep 28 18:03:44 2026 filtering completed in 2 passes
  354. Mon Sep 28 18:03:49 2026 matrix is 17692822 x 17693000 (7808.6 MB) with weight 2385013524 (134.80/col)
  355. Mon Sep 28 18:03:49 2026 sparse part has weight 1834650221 (103.69/col)
  356. Mon Sep 28 18:04:45 2026 building matrix for density 130
  357. Mon Sep 28 18:04:48 2026 read 16775193 cycles
  358. Mon Sep 28 18:05:13 2026 cycles contain 60513482 unique relations
  359. Mon Sep 28 18:06:16 2026 read 60513482 relations
  360. Mon Sep 28 18:06:34 2026 using 20 quadratic characters above 4294917295
  361. Mon Sep 28 18:06:56 2026 building initial matrix
  362. Mon Sep 28 18:18:41 2026 memory use: 8444.2 MB
  363. Mon Sep 28 18:19:00 2026 read 16775193 cycles
  364. Mon Sep 28 18:19:02 2026 matrix is 16775016 x 16775193 (8505.7 MB) with weight 2576510441 (153.59/col)
  365. Mon Sep 28 18:19:02 2026 sparse part has weight 2028417802 (120.92/col)
  366. Mon Sep 28 18:21:18 2026 filtering completed in 2 passes
  367. Mon Sep 28 18:21:23 2026 matrix is 16774493 x 16774670 (8505.7 MB) with weight 2576485728 (153.59/col)
  368. Mon Sep 28 18:21:23 2026 sparse part has weight 2028411078 (120.92/col)
  369. Mon Sep 28 18:22:08 2026 BLanczosTime: 2789
  370. Mon Sep 28 18:22:08 2026 elapsed time 01:59:13
  371. Mon Sep 28 20:16:41 2026
  372. Mon Sep 28 20:16:41 2026
  373. Mon Sep 28 20:16:41 2026 Msieve v. 1.54 (SVN unknown)
  374. Mon Sep 28 20:16:41 2026 random seeds: 12e2d940 f8302544
  375. Mon Sep 28 20:16:41 2026 Using 8 OpenMP threads
  376. Mon Sep 28 20:16:41 2026 factoring 7867307235191357107963663896161072768073768625595165074872356908389224409296738635611414096985303558732178236917760228630001870984412462404936706446461088784471900113034687024964712287 (184 digits)
  377. Mon Sep 28 20:16:41 2026 no P-1/P+1/ECM available, skipping
  378. Mon Sep 28 20:16:41 2026 commencing number field sieve (184-digit input)
  379. Mon Sep 28 20:16:41 2026 R0: -676701522131696534770016184900303798
  380. Mon Sep 28 20:16:41 2026 R1: 98277401496934337051953
  381. Mon Sep 28 20:16:41 2026 A0: -9556489892472200635164546988444412082152544
  382. Mon Sep 28 20:16:41 2026 A1: -1634663271036835977436322189665379405
  383. Mon Sep 28 20:16:41 2026 A2: 27704372820334575645843239992
  384. Mon Sep 28 20:16:41 2026 A3: -29615402427463021355
  385. Mon Sep 28 20:16:41 2026 A4: 90303045266256
  386. Mon Sep 28 20:16:41 2026 A5: 332640
  387. Mon Sep 28 20:16:41 2026 skew 43580911.49, size 7.849e-18, alpha -7.862, combined = 6.317e-14 rroots = 3
  388. Mon Sep 28 20:16:41 2026
  389. Mon Sep 28 20:16:41 2026 commencing linear algebra
  390. Mon Sep 28 20:16:41 2026 using VBITS=128
  391. Mon Sep 28 20:16:41 2026 selecting density 130 for linear algebra
  392. Mon Sep 28 20:16:48 2026 matrix starts at (0, 0)
  393. Mon Sep 28 20:16:49 2026 matrix is 16774493 x 16774670 (8505.7 MB) with weight 2576485728 (153.59/col)
  394. Mon Sep 28 20:16:49 2026 sparse part has weight 2028411078 (120.92/col)
  395. Mon Sep 28 20:16:49 2026 saving the first 112 matrix rows for later
  396. Mon Sep 28 20:16:51 2026 matrix includes 128 packed rows
  397. Mon Sep 28 20:16:54 2026 matrix is 16774381 x 16774670 (7861.0 MB) with weight 2006884521 (119.64/col)
  398. Mon Sep 28 20:16:54 2026 sparse part has weight 1859424711 (110.85/col)
  399. Mon Sep 28 20:16:54 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  400. Mon Sep 28 20:16:54 2026 selected card has CUDA arch 12.0
  401. Mon Sep 28 20:16:55 2026 storing a single copy of the matrix (no transpose) on the GPU
  402. Mon Sep 28 20:16:55 2026 computed block_nnz 116231682 (L2 cache 50331648 bytes, average column weight 110.8)
  403. Mon Sep 28 20:16:55 2026 nonzeros per matrix block: 116231682
  404. Mon Sep 28 20:16:55 2026 SpMV kernel: auto (by nonzeros per row)
  405. Mon Sep 28 20:16:55 2026 GPU memory: 11015 MB free, 1792 MB for vectors, 7952 MB for sparse matrix blocks (8181 MB needed)
  406. Mon Sep 28 20:17:27 2026 streaming 4 of 16 matrix blocks (2030 MB) from pinned host memory through 3 507 MB buffers
  407. Mon Sep 28 20:17:27 2026 commencing Lanczos iteration
  408. Mon Sep 28 20:17:28 2026 memory use: 9657.3 MB
  409. Mon Sep 28 20:17:59 2026 linear algebra at 0.2%, ETA 4h43m
  410. Mon Sep 28 20:18:08 2026 checking every 50000 dimensions, checkpointing every 3500000 dimensions
  411. Tue Sep 29 00:49:10 2026 lanczos halted after 131834 iterations (dim = 16774379)
  412. Tue Sep 29 00:49:38 2026 recovered 31 nontrivial dependencies
  413. Tue Sep 29 00:49:39 2026 BLanczosTime: 16378
  414. Tue Sep 29 00:49:39 2026
  415. Tue Sep 29 00:49:39 2026 commencing square root phase
  416. Tue Sep 29 00:49:39 2026 handling dependencies 1 to 64
  417. Tue Sep 29 00:49:39 2026 reading relations for dependency 1
  418. Tue Sep 29 00:50:30 2026 read 8387607 cycles
  419. Tue Sep 29 00:50:43 2026 cycles contain 30255020 unique relations
  420. Tue Sep 29 00:55:18 2026 read 30255020 relations
  421. Tue Sep 29 00:58:45 2026 multiplying 30255020 relations
  422. Tue Sep 29 01:01:51 2026 multiply complete, coefficients have about 1777.21 million bits
  423. Tue Sep 29 01:01:55 2026 initial square root is modulo 93767137
  424. Tue Sep 29 01:08:20 2026 sqrtTime: 1121
  425. Tue Sep 29 01:08:20 2026 p88 factor: 1245678720042933827714388893478872491247868914127265304843668097721092598744915552542627
  426. Tue Sep 29 01:08:20 2026 p97 factor: 6315679242654318461392839126937501536353436160034790344941349859822187693156823114231964880098581
  427. Tue Sep 29 01:08:20 2026 elapsed time 04:51:39
  428.  
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