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C173_1512_i2416 msieve.log

kyleaskine
Sep 14th, 2026
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  1. Mon Sep 14 00:22:52 2026
  2. Mon Sep 14 00:22:52 2026
  3. Mon Sep 14 00:22:52 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 14 00:22:52 2026 random seeds: 992f823f c5359887
  5. Mon Sep 14 00:22:52 2026 Using 8 OpenMP threads
  6. Mon Sep 14 00:22:52 2026 factoring 28583279398801024096484740712034404562495104294239548660379100228654402757607928882070095614557130469472304358859281113606952551658791361393463460820593595103519106975459601 (173 digits)
  7. Mon Sep 14 00:22:53 2026 no P-1/P+1/ECM available, skipping
  8. Mon Sep 14 00:22:53 2026 commencing number field sieve (173-digit input)
  9. Mon Sep 14 00:22:53 2026 R0: -2581132351293960718873120429557924
  10. Mon Sep 14 00:22:53 2026 R1: 8567410139608351428623
  11. Mon Sep 14 00:22:53 2026 A0: -2768330612475830010868558979499772911725
  12. Mon Sep 14 00:22:53 2026 A1: -543633573617531119563072210463903
  13. Mon Sep 14 00:22:53 2026 A2: 887985897540650097485416099
  14. Mon Sep 14 00:22:53 2026 A3: 4742508870123592431
  15. Mon Sep 14 00:22:53 2026 A4: 4317792615138
  16. Mon Sep 14 00:22:53 2026 A5: 249480
  17. Mon Sep 14 00:22:53 2026 skew 7273709.63, size 1.169e-16, alpha -6.791, combined = 3.242e-13 rroots = 3
  18. Mon Sep 14 00:22:53 2026
  19. Mon Sep 14 00:22:53 2026 commencing relation filtering
  20. Mon Sep 14 00:22:53 2026 setting 3 target densities:Mon Sep 14 00:22:53 2026 90Mon Sep 14 00:22:53 2026 110Mon Sep 14 00:22:53 2026 130Mon Sep 14 00:22:53 2026
  21. Mon Sep 14 00:22:53 2026 estimated available RAM is 78540.1 MB
  22. Mon Sep 14 00:22:53 2026 commencing duplicate removal, pass 1
  23. Mon Sep 14 00:24:08 2026 error -1 reading relation 24751702
  24. Mon Sep 14 00:25:19 2026 error -1 reading relation 49160209
  25. Mon Sep 14 00:26:53 2026 error -1 reading relation 80746572
  26. Mon Sep 14 00:27:02 2026 error -1 reading relation 83521556
  27. Mon Sep 14 00:27:04 2026 error -1 reading relation 84326754
  28. Mon Sep 14 00:27:07 2026 error -1 reading relation 85407456
  29. Mon Sep 14 00:27:19 2026 error -1 reading relation 89546712
  30. Mon Sep 14 00:27:20 2026 error -1 reading relation 89879880
  31. Mon Sep 14 00:27:52 2026 error -1 reading relation 100505826
  32. Mon Sep 14 00:28:44 2026 error -1 reading relation 116211755
  33. Mon Sep 14 00:29:06 2026 error -1 reading relation 122520866
  34. Mon Sep 14 00:29:14 2026 error -1 reading relation 125047552
  35. Mon Sep 14 00:29:18 2026 error -1 reading relation 126164973
  36. Mon Sep 14 00:30:16 2026 error -1 reading relation 145534183
  37. Mon Sep 14 00:30:34 2026 error -1 reading relation 151480916
  38. Mon Sep 14 00:30:37 2026 error -1 reading relation 152510856
  39. Mon Sep 14 00:31:02 2026 error -15 reading relation 161147118
  40. Mon Sep 14 00:33:41 2026 error -1 reading relation 214387431
  41. Mon Sep 14 00:33:53 2026 error -1 reading relation 218659265
  42. Mon Sep 14 00:34:31 2026 error -1 reading relation 232238295
  43. Mon Sep 14 00:34:31 2026 error -1 reading relation 232406826
  44. Mon Sep 14 00:35:04 2026 error -1 reading relation 244045043
  45. Mon Sep 14 00:35:16 2026 error -1 reading relation 248352863
  46. Mon Sep 14 00:36:36 2026 error -1 reading relation 275867790
  47. Mon Sep 14 00:37:26 2026 error -1 reading relation 293557906
  48. Mon Sep 14 00:37:26 2026 error -1 reading relation 293590246
  49. Mon Sep 14 00:37:53 2026 error -1 reading relation 303321157
  50. Mon Sep 14 00:37:53 2026 error -1 reading relation 303364515
  51. Mon Sep 14 00:37:55 2026 error -1 reading relation 303782585
  52. Mon Sep 14 00:38:06 2026 error -1 reading relation 307961981
  53. Mon Sep 14 00:38:11 2026 error -1 reading relation 309401631
  54. Mon Sep 14 00:38:16 2026 skipped 293 malformed relations
  55. Mon Sep 14 00:38:16 2026 found 55903573 hash collisions in 311102519 relations
  56. Mon Sep 14 00:38:31 2026 added 122106 free relations
  57. Mon Sep 14 00:38:31 2026 commencing duplicate removal, pass 2
  58. Mon Sep 14 00:41:41 2026 found 57134994 duplicates and 254089631 unique relations
  59. Mon Sep 14 00:41:41 2026 memory use: 1705.5 MB
  60. Mon Sep 14 00:41:41 2026 reading ideals above 720000
  61. Mon Sep 14 00:41:41 2026 commencing singleton removal, initial pass
  62. Mon Sep 14 01:09:53 2026 memory use: 6024.0 MB
  63. Mon Sep 14 01:09:54 2026 reading all ideals from disk
  64. Mon Sep 14 01:10:21 2026 memory use: 11952.3 MB
  65. Mon Sep 14 01:10:54 2026 keeping 241057716 ideals with weight <= 200, target excess is 1232397
  66. Mon Sep 14 01:11:28 2026 commencing in-memory singleton removal
  67. Mon Sep 14 01:11:33 2026 begin with 254089631 relations and 241057716 unique ideals
  68. Mon Sep 14 01:12:29 2026 reduce to 149417265 relations and 124573389 ideals in 16 passes
  69. Mon Sep 14 01:12:29 2026 max relations containing the same ideal: 154
  70. Mon Sep 14 01:13:52 2026 removing 12425377 relations and 10425377 ideals in 2000000 cliques
  71. Mon Sep 14 01:13:56 2026 commencing in-memory singleton removal
  72. Mon Sep 14 01:13:59 2026 begin with 136991888 relations and 124573389 unique ideals
  73. Mon Sep 14 01:14:23 2026 reduce to 136174580 relations and 113316510 ideals in 9 passes
  74. Mon Sep 14 01:14:23 2026 max relations containing the same ideal: 141
  75. Mon Sep 14 01:15:41 2026 removing 9472100 relations and 7472100 ideals in 2000000 cliques
  76. Mon Sep 14 01:15:45 2026 commencing in-memory singleton removal
  77. Mon Sep 14 01:15:48 2026 begin with 126702480 relations and 113316510 unique ideals
  78. Mon Sep 14 01:16:07 2026 reduce to 126157408 relations and 105291113 ideals in 8 passes
  79. Mon Sep 14 01:16:07 2026 max relations containing the same ideal: 135
  80. Mon Sep 14 01:17:20 2026 removing 8582434 relations and 6582434 ideals in 2000000 cliques
  81. Mon Sep 14 01:17:23 2026 commencing in-memory singleton removal
  82. Mon Sep 14 01:17:26 2026 begin with 117574974 relations and 105291113 unique ideals
  83. Mon Sep 14 01:17:43 2026 reduce to 117088620 relations and 98214734 ideals in 7 passes
  84. Mon Sep 14 01:17:43 2026 max relations containing the same ideal: 130
  85. Mon Sep 14 01:18:53 2026 removing 8128338 relations and 6128338 ideals in 2000000 cliques
  86. Mon Sep 14 01:18:57 2026 commencing in-memory singleton removal
  87. Mon Sep 14 01:19:00 2026 begin with 108960282 relations and 98214734 unique ideals
  88. Mon Sep 14 01:19:17 2026 reduce to 108493623 relations and 91612459 ideals in 8 passes
  89. Mon Sep 14 01:19:17 2026 max relations containing the same ideal: 122
  90. Mon Sep 14 01:20:22 2026 removing 7861728 relations and 5861728 ideals in 2000000 cliques
  91. Mon Sep 14 01:20:25 2026 commencing in-memory singleton removal
  92. Mon Sep 14 01:20:27 2026 begin with 100631895 relations and 91612459 unique ideals
  93. Mon Sep 14 01:20:42 2026 reduce to 100161642 relations and 85272585 ideals in 7 passes
  94. Mon Sep 14 01:20:42 2026 max relations containing the same ideal: 114
  95. Mon Sep 14 01:21:43 2026 removing 7699255 relations and 5699255 ideals in 2000000 cliques
  96. Mon Sep 14 01:21:46 2026 commencing in-memory singleton removal
  97. Mon Sep 14 01:21:48 2026 begin with 92462387 relations and 85272585 unique ideals
  98. Mon Sep 14 01:22:01 2026 reduce to 91981047 relations and 79083355 ideals in 7 passes
  99. Mon Sep 14 01:22:01 2026 max relations containing the same ideal: 107
  100. Mon Sep 14 01:22:54 2026 removing 7601207 relations and 5601207 ideals in 2000000 cliques
  101. Mon Sep 14 01:22:57 2026 commencing in-memory singleton removal
  102. Mon Sep 14 01:22:59 2026 begin with 84379840 relations and 79083355 unique ideals
  103. Mon Sep 14 01:23:12 2026 reduce to 83873188 relations and 72965695 ideals in 8 passes
  104. Mon Sep 14 01:23:12 2026 max relations containing the same ideal: 102
  105. Mon Sep 14 01:24:01 2026 removing 7553161 relations and 5553161 ideals in 2000000 cliques
  106. Mon Sep 14 01:24:04 2026 commencing in-memory singleton removal
  107. Mon Sep 14 01:24:06 2026 begin with 76320027 relations and 72965695 unique ideals
  108. Mon Sep 14 01:24:19 2026 reduce to 75773336 relations and 66854447 ideals in 8 passes
  109. Mon Sep 14 01:24:19 2026 max relations containing the same ideal: 95
  110. Mon Sep 14 01:25:05 2026 removing 7550724 relations and 5550724 ideals in 2000000 cliques
  111. Mon Sep 14 01:25:08 2026 commencing in-memory singleton removal
  112. Mon Sep 14 01:25:09 2026 begin with 68222612 relations and 66854447 unique ideals
  113. Mon Sep 14 01:25:21 2026 reduce to 67624914 relations and 60692295 ideals in 9 passes
  114. Mon Sep 14 01:25:21 2026 max relations containing the same ideal: 88
  115. Mon Sep 14 01:26:03 2026 removing 7582362 relations and 5582362 ideals in 2000000 cliques
  116. Mon Sep 14 01:26:05 2026 commencing in-memory singleton removal
  117. Mon Sep 14 01:26:06 2026 begin with 60042552 relations and 60692295 unique ideals
  118. Mon Sep 14 01:26:17 2026 reduce to 59370321 relations and 54420269 ideals in 9 passes
  119. Mon Sep 14 01:26:17 2026 max relations containing the same ideal: 82
  120. Mon Sep 14 01:26:55 2026 removing 7646202 relations and 5646202 ideals in 2000000 cliques
  121. Mon Sep 14 01:26:57 2026 commencing in-memory singleton removal
  122. Mon Sep 14 01:26:58 2026 begin with 51724119 relations and 54420269 unique ideals
  123. Mon Sep 14 01:27:07 2026 reduce to 50944868 relations and 47972261 ideals in 9 passes
  124. Mon Sep 14 01:27:07 2026 max relations containing the same ideal: 74
  125. Mon Sep 14 01:27:40 2026 removing 6320634 relations and 4777608 ideals in 1543026 cliques
  126. Mon Sep 14 01:27:42 2026 commencing in-memory singleton removal
  127. Mon Sep 14 01:27:43 2026 begin with 44624234 relations and 47972261 unique ideals
  128. Mon Sep 14 01:27:52 2026 reduce to 44022020 relations and 42576539 ideals in 10 passes
  129. Mon Sep 14 01:27:52 2026 max relations containing the same ideal: 70
  130. Mon Sep 14 01:28:19 2026 removing 139474 relations and 123574 ideals in 15900 cliques
  131. Mon Sep 14 01:28:20 2026 commencing in-memory singleton removal
  132. Mon Sep 14 01:28:21 2026 begin with 43882546 relations and 42576539 unique ideals
  133. Mon Sep 14 01:28:24 2026 reduce to 43882295 relations and 42452713 ideals in 4 passes
  134. Mon Sep 14 01:28:24 2026 max relations containing the same ideal: 70
  135. Mon Sep 14 01:28:26 2026 trying target density 90
  136. Mon Sep 14 01:28:30 2026 relations with 0 large ideals: 4672
  137. Mon Sep 14 01:28:30 2026 relations with 1 large ideals: 32748
  138. Mon Sep 14 01:28:30 2026 relations with 2 large ideals: 432317
  139. Mon Sep 14 01:28:30 2026 relations with 3 large ideals: 2341463
  140. Mon Sep 14 01:28:30 2026 relations with 4 large ideals: 6758422
  141. Mon Sep 14 01:28:30 2026 relations with 5 large ideals: 11410912
  142. Mon Sep 14 01:28:30 2026 relations with 6 large ideals: 11833350
  143. Mon Sep 14 01:28:30 2026 relations with 7+ large ideals: 11068411
  144. Mon Sep 14 01:28:30 2026 commencing 2-way merge
  145. Mon Sep 14 01:29:06 2026 reduce to 27101808 relation sets and 25672226 unique ideals
  146. Mon Sep 14 01:29:06 2026 commencing full merge
  147. Mon Sep 14 01:40:48 2026 memory use: 3117.5 MB
  148. Mon Sep 14 01:40:54 2026 found 13447958 cycles, need 13260426
  149. Mon Sep 14 01:40:59 2026 weight of 13260426 cycles is about 1193947697 (90.04/cycle)
  150. Mon Sep 14 01:40:59 2026 distribution of cycle lengths:
  151. Mon Sep 14 01:40:59 2026 1 relations: 1231533
  152. Mon Sep 14 01:40:59 2026 2 relations: 1289612
  153. Mon Sep 14 01:40:59 2026 3 relations: 1310763
  154. Mon Sep 14 01:40:59 2026 4 relations: 1232824
  155. Mon Sep 14 01:40:59 2026 5 relations: 1188730
  156. Mon Sep 14 01:40:59 2026 6 relations: 1121684
  157. Mon Sep 14 01:40:59 2026 7 relations: 1032551
  158. Mon Sep 14 01:40:59 2026 8 relations: 925160
  159. Mon Sep 14 01:40:59 2026 9 relations: 817059
  160. Mon Sep 14 01:40:59 2026 10+ relations: 3110510
  161. Mon Sep 14 01:40:59 2026 heaviest cycle: 22 relations
  162. Mon Sep 14 01:41:05 2026 commencing cycle optimization
  163. Mon Sep 14 01:41:39 2026 start with 86790204 relations
  164. Mon Sep 14 01:45:27 2026 pruned 2683792 relations
  165. Mon Sep 14 01:45:30 2026 memory use: 2681.3 MB
  166. Mon Sep 14 01:45:30 2026 distribution of cycle lengths:
  167. Mon Sep 14 01:45:30 2026 1 relations: 1231533
  168. Mon Sep 14 01:45:30 2026 2 relations: 1320250
  169. Mon Sep 14 01:45:30 2026 3 relations: 1360863
  170. Mon Sep 14 01:45:30 2026 4 relations: 1271752
  171. Mon Sep 14 01:45:30 2026 5 relations: 1230667
  172. Mon Sep 14 01:45:30 2026 6 relations: 1153958
  173. Mon Sep 14 01:45:30 2026 7 relations: 1061571
  174. Mon Sep 14 01:45:30 2026 8 relations: 944352
  175. Mon Sep 14 01:45:30 2026 9 relations: 825863
  176. Mon Sep 14 01:45:30 2026 10+ relations: 2859617
  177. Mon Sep 14 01:45:30 2026 heaviest cycle: 22 relations
  178. Mon Sep 14 01:46:08 2026 trying target density 110
  179. Mon Sep 14 01:46:12 2026 relations with 0 large ideals: 4672
  180. Mon Sep 14 01:46:12 2026 relations with 1 large ideals: 32748
  181. Mon Sep 14 01:46:12 2026 relations with 2 large ideals: 432317
  182. Mon Sep 14 01:46:12 2026 relations with 3 large ideals: 2341463
  183. Mon Sep 14 01:46:12 2026 relations with 4 large ideals: 6758422
  184. Mon Sep 14 01:46:12 2026 relations with 5 large ideals: 11410912
  185. Mon Sep 14 01:46:12 2026 relations with 6 large ideals: 11833350
  186. Mon Sep 14 01:46:12 2026 relations with 7+ large ideals: 11068411
  187. Mon Sep 14 01:46:12 2026 commencing 2-way merge
  188. Mon Sep 14 01:46:46 2026 reduce to 27101808 relation sets and 25672226 unique ideals
  189. Mon Sep 14 01:46:46 2026 commencing full merge
  190. Mon Sep 14 02:01:18 2026 memory use: 3197.9 MB
  191. Mon Sep 14 02:01:23 2026 found 12543345 cycles, need 12404426
  192. Mon Sep 14 02:01:28 2026 weight of 12404426 cycles is about 1364713755 (110.02/cycle)
  193. Mon Sep 14 02:01:28 2026 distribution of cycle lengths:
  194. Mon Sep 14 02:01:28 2026 1 relations: 796580
  195. Mon Sep 14 02:01:28 2026 2 relations: 964273
  196. Mon Sep 14 02:01:28 2026 3 relations: 1018901
  197. Mon Sep 14 02:01:28 2026 4 relations: 988523
  198. Mon Sep 14 02:01:28 2026 5 relations: 965423
  199. Mon Sep 14 02:01:28 2026 6 relations: 932971
  200. Mon Sep 14 02:01:28 2026 7 relations: 881181
  201. Mon Sep 14 02:01:28 2026 8 relations: 834265
  202. Mon Sep 14 02:01:28 2026 9 relations: 771012
  203. Mon Sep 14 02:01:28 2026 10+ relations: 4251297
  204. Mon Sep 14 02:01:28 2026 heaviest cycle: 27 relations
  205. Mon Sep 14 02:01:33 2026 commencing cycle optimization
  206. Mon Sep 14 02:02:10 2026 start with 98911670 relations
  207. Mon Sep 14 02:07:25 2026 pruned 3756506 relations
  208. Mon Sep 14 02:07:27 2026 memory use: 2810.2 MB
  209. Mon Sep 14 02:07:27 2026 distribution of cycle lengths:
  210. Mon Sep 14 02:07:27 2026 1 relations: 796580
  211. Mon Sep 14 02:07:27 2026 2 relations: 988587
  212. Mon Sep 14 02:07:27 2026 3 relations: 1060978
  213. Mon Sep 14 02:07:27 2026 4 relations: 1023949
  214. Mon Sep 14 02:07:27 2026 5 relations: 1005659
  215. Mon Sep 14 02:07:27 2026 6 relations: 967201
  216. Mon Sep 14 02:07:27 2026 7 relations: 917265
  217. Mon Sep 14 02:07:27 2026 8 relations: 863233
  218. Mon Sep 14 02:07:27 2026 9 relations: 794998
  219. Mon Sep 14 02:07:27 2026 10+ relations: 3985976
  220. Mon Sep 14 02:07:27 2026 heaviest cycle: 27 relations
  221. Mon Sep 14 02:08:05 2026 trying target density 130
  222. Mon Sep 14 02:08:09 2026 relations with 0 large ideals: 4672
  223. Mon Sep 14 02:08:09 2026 relations with 1 large ideals: 32748
  224. Mon Sep 14 02:08:09 2026 relations with 2 large ideals: 432317
  225. Mon Sep 14 02:08:09 2026 relations with 3 large ideals: 2341463
  226. Mon Sep 14 02:08:09 2026 relations with 4 large ideals: 6758422
  227. Mon Sep 14 02:08:09 2026 relations with 5 large ideals: 11410912
  228. Mon Sep 14 02:08:09 2026 relations with 6 large ideals: 11833350
  229. Mon Sep 14 02:08:09 2026 relations with 7+ large ideals: 11068411
  230. Mon Sep 14 02:08:09 2026 commencing 2-way merge
  231. Mon Sep 14 02:08:42 2026 reduce to 27101808 relation sets and 25672226 unique ideals
  232. Mon Sep 14 02:08:42 2026 commencing full merge
  233. Mon Sep 14 02:25:09 2026 memory use: 3235.1 MB
  234. Mon Sep 14 02:25:14 2026 found 11788343 cycles, need 11772426
  235. Mon Sep 14 02:25:19 2026 weight of 11772426 cycles is about 1531160483 (130.06/cycle)
  236. Mon Sep 14 02:25:19 2026 distribution of cycle lengths:
  237. Mon Sep 14 02:25:19 2026 1 relations: 533718
  238. Mon Sep 14 02:25:19 2026 2 relations: 753724
  239. Mon Sep 14 02:25:19 2026 3 relations: 820735
  240. Mon Sep 14 02:25:19 2026 4 relations: 811117
  241. Mon Sep 14 02:25:19 2026 5 relations: 804599
  242. Mon Sep 14 02:25:19 2026 6 relations: 784645
  243. Mon Sep 14 02:25:19 2026 7 relations: 758667
  244. Mon Sep 14 02:25:19 2026 8 relations: 731093
  245. Mon Sep 14 02:25:19 2026 9 relations: 690763
  246. Mon Sep 14 02:25:19 2026 10+ relations: 5083365
  247. Mon Sep 14 02:25:19 2026 heaviest cycle: 28 relations
  248. Mon Sep 14 02:25:23 2026 commencing cycle optimization
  249. Mon Sep 14 02:26:03 2026 start with 110510533 relations
  250. Mon Sep 14 02:33:18 2026 pruned 4871761 relations
  251. Mon Sep 14 02:33:18 2026 memory use: 2929.0 MB
  252. Mon Sep 14 02:33:18 2026 distribution of cycle lengths:
  253. Mon Sep 14 02:33:18 2026 1 relations: 533718
  254. Mon Sep 14 02:33:18 2026 2 relations: 773310
  255. Mon Sep 14 02:33:18 2026 3 relations: 855805
  256. Mon Sep 14 02:33:18 2026 4 relations: 842529
  257. Mon Sep 14 02:33:18 2026 5 relations: 841044
  258. Mon Sep 14 02:33:18 2026 6 relations: 818216
  259. Mon Sep 14 02:33:18 2026 7 relations: 794517
  260. Mon Sep 14 02:33:18 2026 8 relations: 761967
  261. Mon Sep 14 02:33:18 2026 9 relations: 722168
  262. Mon Sep 14 02:33:18 2026 10+ relations: 4829152
  263. Mon Sep 14 02:33:18 2026 heaviest cycle: 28 relations
  264. Mon Sep 14 02:33:58 2026 RelProcTime: 7865
  265. Mon Sep 14 02:33:58 2026
  266. Mon Sep 14 02:33:58 2026 commencing linear algebra
  267. Mon Sep 14 02:33:58 2026 using VBITS=256
  268. Mon Sep 14 02:33:58 2026 building matrices for all densities
  269. Mon Sep 14 02:33:58 2026 found 3 density files
  270. Mon Sep 14 02:33:58 2026 building matrix for density 90
  271. Mon Sep 14 02:34:00 2026 read 13260426 cycles
  272. Mon Sep 14 02:34:28 2026 cycles contain 42941259 unique relations
  273. Mon Sep 14 02:36:39 2026 read 42941259 relations
  274. Mon Sep 14 02:36:56 2026 using 20 quadratic characters above 4294917295
  275. Mon Sep 14 02:37:18 2026 building initial matrix
  276. Mon Sep 14 02:48:04 2026 memory use: 5855.1 MB
  277. Mon Sep 14 02:48:10 2026 read 13260426 cycles
  278. Mon Sep 14 02:48:12 2026 matrix is 13260245 x 13260426 (4906.0 MB) with weight 1514930690 (114.24/col)
  279. Mon Sep 14 02:48:12 2026 sparse part has weight 1140225137 (85.99/col)
  280. Mon Sep 14 02:51:05 2026 filtering completed in 2 passes
  281. Mon Sep 14 02:51:08 2026 matrix is 13256139 x 13256319 (4905.7 MB) with weight 1514753957 (114.27/col)
  282. Mon Sep 14 02:51:08 2026 sparse part has weight 1140169182 (86.01/col)
  283. Mon Sep 14 02:51:48 2026 building matrix for density 110
  284. Mon Sep 14 02:51:49 2026 read 12404426 cycles
  285. Mon Sep 14 02:52:16 2026 cycles contain 42950230 unique relations
  286. Mon Sep 14 02:53:52 2026 read 42950230 relations
  287. Mon Sep 14 02:54:12 2026 using 20 quadratic characters above 4294917295
  288. Mon Sep 14 02:54:37 2026 building initial matrix
  289. Mon Sep 14 03:06:38 2026 memory use: 5872.2 MB
  290. Mon Sep 14 03:06:52 2026 read 12404426 cycles
  291. Mon Sep 14 03:06:54 2026 matrix is 12404247 x 12404426 (5424.1 MB) with weight 1657317725 (133.61/col)
  292. Mon Sep 14 03:06:54 2026 sparse part has weight 1285457497 (103.63/col)
  293. Mon Sep 14 03:10:05 2026 filtering completed in 2 passes
  294. Mon Sep 14 03:10:09 2026 matrix is 12402518 x 12402696 (5424.0 MB) with weight 1657233593 (133.62/col)
  295. Mon Sep 14 03:10:09 2026 sparse part has weight 1285428321 (103.64/col)
  296. Mon Sep 14 03:10:48 2026 building matrix for density 130
  297. Mon Sep 14 03:10:49 2026 read 11772426 cycles
  298. Mon Sep 14 03:11:18 2026 cycles contain 42949706 unique relations
  299. Mon Sep 14 03:13:12 2026 read 42949706 relations
  300. Mon Sep 14 03:13:35 2026 using 20 quadratic characters above 4294917295
  301. Mon Sep 14 03:14:00 2026 building initial matrix
  302. Mon Sep 14 03:26:50 2026 memory use: 5892.9 MB
  303. Mon Sep 14 03:27:03 2026 read 11772426 cycles
  304. Mon Sep 14 03:27:06 2026 matrix is 11772249 x 11772426 (5926.0 MB) with weight 1793644456 (152.36/col)
  305. Mon Sep 14 03:27:06 2026 sparse part has weight 1423978748 (120.96/col)
  306. Mon Sep 14 03:30:03 2026 filtering completed in 2 passes
  307. Mon Sep 14 03:30:08 2026 matrix is 11772043 x 11772219 (5926.0 MB) with weight 1793635257 (152.36/col)
  308. Mon Sep 14 03:30:08 2026 sparse part has weight 1423976662 (120.96/col)
  309. Mon Sep 14 03:30:48 2026 BLanczosTime: 3410
  310. Mon Sep 14 03:30:48 2026 elapsed time 03:07:56
  311. Mon Sep 14 10:16:14 2026
  312. Mon Sep 14 10:16:14 2026
  313. Mon Sep 14 10:16:14 2026 Msieve v. 1.54 (SVN unknown)
  314. Mon Sep 14 10:16:14 2026 random seeds: 8141a8d5 4faccf19
  315. Mon Sep 14 10:16:14 2026 factoring 28583279398801024096484740712034404562495104294239548660379100228654402757607928882070095614557130469472304358859281113606952551658791361393463460820593595103519106975459601 (173 digits)
  316. Mon Sep 14 10:16:14 2026 no P-1/P+1/ECM available, skipping
  317. Mon Sep 14 10:16:14 2026 commencing number field sieve (173-digit input)
  318. Mon Sep 14 10:16:14 2026 R0: -2581132351293960718873120429557924
  319. Mon Sep 14 10:16:14 2026 R1: 8567410139608351428623
  320. Mon Sep 14 10:16:14 2026 A0: -2768330612475830010868558979499772911725
  321. Mon Sep 14 10:16:14 2026 A1: -543633573617531119563072210463903
  322. Mon Sep 14 10:16:14 2026 A2: 887985897540650097485416099
  323. Mon Sep 14 10:16:14 2026 A3: 4742508870123592431
  324. Mon Sep 14 10:16:14 2026 A4: 4317792615138
  325. Mon Sep 14 10:16:14 2026 A5: 249480
  326. Mon Sep 14 10:16:14 2026 skew 7273709.63, size 1.169e-16, alpha -6.791, combined = 3.242e-13 rroots = 3
  327. Mon Sep 14 10:16:14 2026
  328. Mon Sep 14 10:16:14 2026 commencing linear algebra
  329. Mon Sep 14 10:16:14 2026 using VBITS=256
  330. Mon Sep 14 10:16:14 2026 skipping matrix build
  331. Mon Sep 14 10:16:21 2026 matrix starts at (0, 0)
  332. Mon Sep 14 10:16:24 2026 matrix is 11772043 x 11772219 (5926.0 MB) with weight 1793635257 (152.36/col)
  333. Mon Sep 14 10:16:24 2026 sparse part has weight 1423976662 (120.96/col)
  334. Mon Sep 14 10:16:24 2026 saving the first 240 matrix rows for later
  335. Mon Sep 14 10:16:30 2026 matrix includes 256 packed rows
  336. Mon Sep 14 10:16:36 2026 matrix is 11771803 x 11772219 (5378.8 MB) with weight 1300911157 (110.51/col)
  337. Mon Sep 14 10:16:36 2026 sparse part has weight 1221671206 (103.78/col)
  338. Mon Sep 14 10:16:36 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  339. Mon Sep 14 10:16:36 2026 selected card has CUDA arch 12.0
  340. Mon Sep 14 10:16:37 2026 computed block_nnz 163225188 (L2 cache 100663296 bytes, average column weight 103.8)
  341. Mon Sep 14 10:16:37 2026 nonzeros per matrix block: 256000000
  342. Mon Sep 14 10:19:04 2026 commencing Lanczos iteration
  343. Mon Sep 14 10:19:05 2026 memory use: 12643.8 MB
  344. Mon Sep 14 10:19:14 2026 linear algebra at 0.3%, ETA 0h51m
  345. Mon Sep 14 10:19:26 2026 checking every 230000 dimensions, checkpointing every 14030000 dimensions
  346. Mon Sep 14 11:11:25 2026 lanczos halted after 46122 iterations (dim = 11771803)
  347. Mon Sep 14 11:12:25 2026 recovered 29 nontrivial dependencies
  348. Mon Sep 14 11:12:26 2026 BLanczosTime: 3372
  349. Mon Sep 14 11:12:26 2026 elapsed time 00:56:12
  350. Mon Sep 14 07:14:51 2026
  351. Mon Sep 14 07:14:51 2026
  352. Mon Sep 14 07:14:51 2026 Msieve v. 1.54 (SVN unknown)
  353. Mon Sep 14 07:14:51 2026 random seeds: 3f7b4be3 e1629d05
  354. Mon Sep 14 07:14:51 2026 Using 8 OpenMP threads
  355. Mon Sep 14 07:14:51 2026 factoring 28583279398801024096484740712034404562495104294239548660379100228654402757607928882070095614557130469472304358859281113606952551658791361393463460820593595103519106975459601 (173 digits)
  356. Mon Sep 14 07:14:52 2026 no P-1/P+1/ECM available, skipping
  357. Mon Sep 14 07:14:52 2026 commencing number field sieve (173-digit input)
  358. Mon Sep 14 07:14:52 2026 R0: -2581132351293960718873120429557924
  359. Mon Sep 14 07:14:52 2026 R1: 8567410139608351428623
  360. Mon Sep 14 07:14:52 2026 A0: -2768330612475830010868558979499772911725
  361. Mon Sep 14 07:14:52 2026 A1: -543633573617531119563072210463903
  362. Mon Sep 14 07:14:52 2026 A2: 887985897540650097485416099
  363. Mon Sep 14 07:14:52 2026 A3: 4742508870123592431
  364. Mon Sep 14 07:14:52 2026 A4: 4317792615138
  365. Mon Sep 14 07:14:52 2026 A5: 249480
  366. Mon Sep 14 07:14:52 2026 skew 7273709.63, size 1.169e-16, alpha -6.791, combined = 3.242e-13 rroots = 3
  367. Mon Sep 14 07:14:52 2026
  368. Mon Sep 14 07:14:52 2026 commencing square root phase
  369. Mon Sep 14 07:14:52 2026 reading relations for dependency 1
  370. Mon Sep 14 07:14:54 2026 read 5886291 cycles
  371. Mon Sep 14 07:15:16 2026 cycles contain 21469638 unique relations
  372. Mon Sep 14 07:22:43 2026 read 21469638 relations
  373. Mon Sep 14 07:24:05 2026 multiplying 21469638 relations
  374. Mon Sep 14 07:26:22 2026 multiply complete, coefficients have about 1182.52 million bits
  375. Mon Sep 14 07:26:25 2026 initial square root is modulo 201661
  376. Mon Sep 14 07:33:34 2026 GCD is 1, no factor found
  377. Mon Sep 14 07:33:34 2026 reading relations for dependency 2
  378. Mon Sep 14 07:33:36 2026 read 5886380 cycles
  379. Mon Sep 14 07:33:49 2026 cycles contain 21473804 unique relations
  380. Mon Sep 14 07:36:26 2026 read 21473804 relations
  381. Mon Sep 14 07:38:15 2026 multiplying 21473804 relations
  382. Mon Sep 14 07:41:10 2026 multiply complete, coefficients have about 1182.74 million bits
  383. Mon Sep 14 07:41:14 2026 initial square root is modulo 202357
  384. Mon Sep 14 07:47:12 2026 sqrtTime: 1940
  385. Mon Sep 14 07:47:12 2026 p70 factor: 1371169102345549679509037939423669864541111100435064264754935364625259
  386. Mon Sep 14 07:47:12 2026 p104 factor: 20845918530329983784347045210186778588925053714998349442151265767895250285947197450287709562393594855539
  387. Mon Sep 14 07:47:12 2026 elapsed time 00:32:21
  388.  
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