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Jun 22nd, 2026
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  1. Sun Jun 21 16:51:42 2026 Msieve v. 1.54 (SVN Unversioned directory)
  2. Sun Jun 21 16:51:42 2026 random seeds: ba8abd74 4a44a444
  3. Sun Jun 21 16:51:42 2026 Using 2 OpenMP threads
  4. Sun Jun 21 16:51:42 2026 factoring 16356894280269637208194008946858811896275801816867280854247009251358899908264547759826236338006394449540970404563219708274694319470735051828732016439217609591965520792133078957 (176 digits)
  5. Sun Jun 21 16:51:42 2026 no P-1/P+1/ECM available, skipping
  6. Sun Jun 21 16:51:42 2026 commencing number field sieve (176-digit input)
  7. Sun Jun 21 16:51:42 2026 R0: -18494095305749702063684217228670973
  8. Sun Jun 21 16:51:42 2026 R1: 6907697840691018280549
  9. Sun Jun 21 16:51:42 2026 A0: -2563992566417068019838262641347782543154556
  10. Sun Jun 21 16:51:42 2026 A1: 151721879066111486593844182439817069
  11. Sun Jun 21 16:51:42 2026 A2: 1873615662416649353269792373
  12. Sun Jun 21 16:51:42 2026 A3: -229265994972087583222
  13. Sun Jun 21 16:51:42 2026 A4: 5068775026496
  14. Sun Jun 21 16:51:42 2026 A5: 60480
  15. Sun Jun 21 16:51:42 2026 skew 42320567.93, size 5.868e-17, alpha -7.836, combined = 2.160e-13 rroots = 3
  16. Sun Jun 21 16:51:42 2026
  17. Sun Jun 21 16:51:42 2026 commencing relation filtering
  18. Sun Jun 21 16:51:42 2026 estimated available RAM is 31871.6 MB
  19. Sun Jun 21 16:51:42 2026 commencing duplicate removal, pass 1
  20. Sun Jun 21 16:51:51 2026 error -1 reading relation 3453007
  21. Sun Jun 21 16:51:57 2026 error -11 reading relation 6607221
  22. Sun Jun 21 16:51:59 2026 error -1 reading relation 7307497
  23. Sun Jun 21 16:52:10 2026 error -1 reading relation 12550592
  24. Sun Jun 21 16:52:31 2026 error -1 reading relation 22692694
  25. Sun Jun 21 16:52:44 2026 error -1 reading relation 29111291
  26. Sun Jun 21 16:52:52 2026 error -1 reading relation 32637618
  27. Sun Jun 21 16:52:59 2026 error -1 reading relation 36160298
  28. Sun Jun 21 16:53:29 2026 error -1 reading relation 50180733
  29. Sun Jun 21 16:53:29 2026 error -1 reading relation 50320649
  30. Sun Jun 21 16:53:39 2026 error -1 reading relation 55054182
  31. Sun Jun 21 16:53:41 2026 error -1 reading relation 56239556
  32. Sun Jun 21 16:53:41 2026 error -1 reading relation 56239557
  33. Sun Jun 21 16:53:51 2026 error -1 reading relation 60754669
  34. Sun Jun 21 16:53:54 2026 error -1 reading relation 62071391
  35. Sun Jun 21 16:53:54 2026 error -1 reading relation 62071392
  36. Sun Jun 21 16:54:22 2026 error -1 reading relation 75288517
  37. Sun Jun 21 16:54:29 2026 error -1 reading relation 79055023
  38. Sun Jun 21 16:54:38 2026 error -1 reading relation 83285657
  39. Sun Jun 21 16:54:43 2026 error -1 reading relation 85544749
  40. Sun Jun 21 16:54:51 2026 error -1 reading relation 89531859
  41. Sun Jun 21 16:55:01 2026 error -1 reading relation 94205051
  42. Sun Jun 21 16:55:06 2026 error -1 reading relation 96655552
  43. Sun Jun 21 16:55:08 2026 error -1 reading relation 97386479
  44. Sun Jun 21 16:55:08 2026 error -6 reading relation 97550423
  45. Sun Jun 21 16:55:09 2026 error -1 reading relation 97842875
  46. Sun Jun 21 16:55:37 2026 error -1 reading relation 111286628
  47. Sun Jun 21 16:55:37 2026 error -1 reading relation 111375448
  48. Sun Jun 21 16:55:37 2026 error -1 reading relation 111375449
  49. Sun Jun 21 16:55:47 2026 error -6 reading relation 115947885
  50. Sun Jun 21 16:55:48 2026 error -1 reading relation 116500871
  51. Sun Jun 21 16:55:52 2026 error -1 reading relation 118535994
  52. Sun Jun 21 16:55:54 2026 error -1 reading relation 119425497
  53. Sun Jun 21 16:56:07 2026 error -1 reading relation 125685115
  54. Sun Jun 21 16:56:10 2026 error -1 reading relation 127144112
  55. Sun Jun 21 16:56:14 2026 error -1 reading relation 129048585
  56. Sun Jun 21 16:56:28 2026 error -11 reading relation 135541197
  57. Sun Jun 21 16:56:28 2026 error -1 reading relation 135710175
  58. Sun Jun 21 16:56:32 2026 error -1 reading relation 137415246
  59. Sun Jun 21 16:56:32 2026 error -1 reading relation 137761186
  60. Sun Jun 21 16:56:44 2026 error -1 reading relation 143185638
  61. Sun Jun 21 16:56:44 2026 error -1 reading relation 143185639
  62. Sun Jun 21 16:56:45 2026 error -11 reading relation 143690992
  63. Sun Jun 21 16:56:56 2026 error -6 reading relation 148445350
  64. Sun Jun 21 16:57:09 2026 error -1 reading relation 154644707
  65. Sun Jun 21 16:57:13 2026 error -1 reading relation 156795718
  66. Sun Jun 21 16:57:14 2026 error -1 reading relation 156973882
  67. Sun Jun 21 16:57:23 2026 error -1 reading relation 161632168
  68. Sun Jun 21 16:57:24 2026 error -1 reading relation 161875338
  69. Sun Jun 21 16:57:32 2026 error -1 reading relation 165819592
  70. Sun Jun 21 16:57:35 2026 error -1 reading relation 167365383
  71. Sun Jun 21 16:57:43 2026 error -15 reading relation 170920037
  72. Sun Jun 21 16:57:47 2026 error -1 reading relation 172739768
  73. Sun Jun 21 16:57:49 2026 error -1 reading relation 174067094
  74. Sun Jun 21 16:57:55 2026 error -1 reading relation 176951480
  75. Sun Jun 21 16:58:00 2026 error -1 reading relation 179255095
  76. Sun Jun 21 16:58:00 2026 error -1 reading relation 179255096
  77. Sun Jun 21 16:58:13 2026 error -1 reading relation 185488937
  78. Sun Jun 21 16:58:36 2026 error -1 reading relation 196115577
  79. Sun Jun 21 16:58:55 2026 error -1 reading relation 205338607
  80. Sun Jun 21 16:59:16 2026 error -1 reading relation 215141386
  81. Sun Jun 21 16:59:23 2026 error -1 reading relation 218467399
  82. Sun Jun 21 16:59:23 2026 error -1 reading relation 218787189
  83. Sun Jun 21 16:59:25 2026 error -1 reading relation 219544385
  84. Sun Jun 21 16:59:26 2026 error -1 reading relation 220134504
  85. Sun Jun 21 16:59:26 2026 error -1 reading relation 220339523
  86. Sun Jun 21 17:00:24 2026 error -1 reading relation 247555946
  87. Sun Jun 21 17:00:27 2026 skipped 1 relations with composite factors
  88. Sun Jun 21 17:00:27 2026 skipped 6 malformed relations
  89. Sun Jun 21 17:00:27 2026 found 13382189 hash collisions in 249014873 relations
  90. Sun Jun 21 17:00:42 2026 added 121880 free relations
  91. Sun Jun 21 17:00:42 2026 commencing duplicate removal, pass 2
  92. Sun Jun 21 17:01:32 2026 found 0 duplicates and 249136753 unique relations
  93. Sun Jun 21 17:01:32 2026 memory use: 852.8 MB
  94. Sun Jun 21 17:01:32 2026 reading ideals above 97845248
  95. Sun Jun 21 17:01:32 2026 commencing singleton removal, initial pass
  96. Sun Jun 21 17:10:13 2026 memory use: 6024.0 MB
  97. Sun Jun 21 17:10:14 2026 reading all ideals from disk
  98. Sun Jun 21 17:10:29 2026 memory use: 6725.0 MB
  99. Sun Jun 21 17:10:43 2026 commencing in-memory singleton removal
  100. Sun Jun 21 17:10:50 2026 begin with 249136753 relations and 229477854 unique ideals
  101. Sun Jun 21 17:11:32 2026 reduce to 141875766 relations and 109644078 ideals in 16 passes
  102. Sun Jun 21 17:11:32 2026 max relations containing the same ideal: 33
  103. Sun Jun 21 17:11:37 2026 reading ideals above 720000
  104. Sun Jun 21 17:11:37 2026 commencing singleton removal, initial pass
  105. Sun Jun 21 17:18:56 2026 memory use: 3012.0 MB
  106. Sun Jun 21 17:18:56 2026 reading all ideals from disk
  107. Sun Jun 21 17:19:14 2026 memory use: 6704.7 MB
  108. Sun Jun 21 17:19:26 2026 keeping 120181496 ideals with weight <= 200, target excess is 752045
  109. Sun Jun 21 17:19:36 2026 commencing in-memory singleton removal
  110. Sun Jun 21 17:19:42 2026 begin with 141875766 relations and 120181496 unique ideals
  111. Sun Jun 21 17:20:06 2026 reduce to 141874925 relations and 120180655 ideals in 6 passes
  112. Sun Jun 21 17:20:06 2026 max relations containing the same ideal: 200
  113. Sun Jun 21 17:20:51 2026 removing 12879227 relations and 10879227 ideals in 2000000 cliques
  114. Sun Jun 21 17:20:54 2026 commencing in-memory singleton removal
  115. Sun Jun 21 17:21:00 2026 begin with 128995698 relations and 120180655 unique ideals
  116. Sun Jun 21 17:21:30 2026 reduce to 128061880 relations and 108350290 ideals in 8 passes
  117. Sun Jun 21 17:21:30 2026 max relations containing the same ideal: 196
  118. Sun Jun 21 17:22:09 2026 removing 9809386 relations and 7809386 ideals in 2000000 cliques
  119. Sun Jun 21 17:22:12 2026 commencing in-memory singleton removal
  120. Sun Jun 21 17:22:18 2026 begin with 118252494 relations and 108350290 unique ideals
  121. Sun Jun 21 17:22:47 2026 reduce to 117627140 relations and 99905365 ideals in 9 passes
  122. Sun Jun 21 17:22:47 2026 max relations containing the same ideal: 186
  123. Sun Jun 21 17:23:23 2026 removing 8878576 relations and 6878576 ideals in 2000000 cliques
  124. Sun Jun 21 17:23:26 2026 commencing in-memory singleton removal
  125. Sun Jun 21 17:23:31 2026 begin with 108748564 relations and 99905365 unique ideals
  126. Sun Jun 21 17:23:55 2026 reduce to 108188768 relations and 92457742 ideals in 8 passes
  127. Sun Jun 21 17:23:55 2026 max relations containing the same ideal: 178
  128. Sun Jun 21 17:24:28 2026 removing 8411614 relations and 6411614 ideals in 2000000 cliques
  129. Sun Jun 21 17:24:31 2026 commencing in-memory singleton removal
  130. Sun Jun 21 17:24:35 2026 begin with 99777154 relations and 92457742 unique ideals
  131. Sun Jun 21 17:24:57 2026 reduce to 99232602 relations and 85492402 ideals in 8 passes
  132. Sun Jun 21 17:24:57 2026 max relations containing the same ideal: 170
  133. Sun Jun 21 17:25:27 2026 removing 8138374 relations and 6138374 ideals in 2000000 cliques
  134. Sun Jun 21 17:25:30 2026 commencing in-memory singleton removal
  135. Sun Jun 21 17:25:34 2026 begin with 91094228 relations and 85492402 unique ideals
  136. Sun Jun 21 17:25:53 2026 reduce to 90541434 relations and 78791208 ideals in 8 passes
  137. Sun Jun 21 17:25:53 2026 max relations containing the same ideal: 162
  138. Sun Jun 21 17:26:21 2026 removing 7981460 relations and 5981460 ideals in 2000000 cliques
  139. Sun Jun 21 17:26:23 2026 commencing in-memory singleton removal
  140. Sun Jun 21 17:26:27 2026 begin with 82559974 relations and 78791208 unique ideals
  141. Sun Jun 21 17:26:44 2026 reduce to 81982001 relations and 72220374 ideals in 8 passes
  142. Sun Jun 21 17:26:44 2026 max relations containing the same ideal: 151
  143. Sun Jun 21 17:27:09 2026 removing 7899190 relations and 5899190 ideals in 2000000 cliques
  144. Sun Jun 21 17:27:11 2026 commencing in-memory singleton removal
  145. Sun Jun 21 17:27:15 2026 begin with 74082811 relations and 72220374 unique ideals
  146. Sun Jun 21 17:27:30 2026 reduce to 73457990 relations and 65682909 ideals in 8 passes
  147. Sun Jun 21 17:27:30 2026 max relations containing the same ideal: 141
  148. Sun Jun 21 17:27:52 2026 removing 7874938 relations and 5874938 ideals in 2000000 cliques
  149. Sun Jun 21 17:27:54 2026 commencing in-memory singleton removal
  150. Sun Jun 21 17:27:57 2026 begin with 65583052 relations and 65682909 unique ideals
  151. Sun Jun 21 17:28:12 2026 reduce to 64884488 relations and 59092896 ideals in 9 passes
  152. Sun Jun 21 17:28:12 2026 max relations containing the same ideal: 129
  153. Sun Jun 21 17:28:32 2026 removing 7928208 relations and 5928208 ideals in 2000000 cliques
  154. Sun Jun 21 17:28:34 2026 commencing in-memory singleton removal
  155. Sun Jun 21 17:28:36 2026 begin with 56956280 relations and 59092896 unique ideals
  156. Sun Jun 21 17:28:48 2026 reduce to 56147768 relations and 52334648 ideals in 8 passes
  157. Sun Jun 21 17:28:48 2026 max relations containing the same ideal: 112
  158. Sun Jun 21 17:29:05 2026 removing 8037461 relations and 6037461 ideals in 2000000 cliques
  159. Sun Jun 21 17:29:07 2026 commencing in-memory singleton removal
  160. Sun Jun 21 17:29:09 2026 begin with 48110307 relations and 52334648 unique ideals
  161. Sun Jun 21 17:29:20 2026 reduce to 47122966 relations and 45279542 ideals in 10 passes
  162. Sun Jun 21 17:29:20 2026 max relations containing the same ideal: 100
  163. Sun Jun 21 17:29:35 2026 removing 4756752 relations and 3785701 ideals in 971051 cliques
  164. Sun Jun 21 17:29:36 2026 commencing in-memory singleton removal
  165. Sun Jun 21 17:29:38 2026 begin with 42366214 relations and 45279542 unique ideals
  166. Sun Jun 21 17:29:47 2026 reduce to 41981178 relations and 41101858 ideals in 9 passes
  167. Sun Jun 21 17:29:47 2026 max relations containing the same ideal: 93
  168. Sun Jun 21 17:30:04 2026 relations with 0 large ideals: 2791
  169. Sun Jun 21 17:30:04 2026 relations with 1 large ideals: 7949
  170. Sun Jun 21 17:30:04 2026 relations with 2 large ideals: 135158
  171. Sun Jun 21 17:30:04 2026 relations with 3 large ideals: 980936
  172. Sun Jun 21 17:30:04 2026 relations with 4 large ideals: 3786341
  173. Sun Jun 21 17:30:04 2026 relations with 5 large ideals: 8565829
  174. Sun Jun 21 17:30:04 2026 relations with 6 large ideals: 11813147
  175. Sun Jun 21 17:30:04 2026 relations with 7+ large ideals: 16689027
  176. Sun Jun 21 17:30:04 2026 commencing 2-way merge
  177. Sun Jun 21 17:30:23 2026 reduce to 25085613 relation sets and 24206293 unique ideals
  178. Sun Jun 21 17:30:23 2026 commencing full merge
  179. Sun Jun 21 17:34:18 2026 memory use: 2807.0 MB
  180. Sun Jun 21 17:34:19 2026 found 12245163 cycles, need 12126493
  181. Sun Jun 21 17:34:21 2026 weight of 12126493 cycles is about 1091704756 (90.03/cycle)
  182. Sun Jun 21 17:34:21 2026 distribution of cycle lengths:
  183. Sun Jun 21 17:34:21 2026 1 relations: 1244330
  184. Sun Jun 21 17:34:21 2026 2 relations: 1129064
  185. Sun Jun 21 17:34:21 2026 3 relations: 1193302
  186. Sun Jun 21 17:34:21 2026 4 relations: 1165449
  187. Sun Jun 21 17:34:21 2026 5 relations: 1134791
  188. Sun Jun 21 17:34:21 2026 6 relations: 1055806
  189. Sun Jun 21 17:34:21 2026 7 relations: 959994
  190. Sun Jun 21 17:34:21 2026 8 relations: 864242
  191. Sun Jun 21 17:34:21 2026 9 relations: 745568
  192. Sun Jun 21 17:34:21 2026 10+ relations: 2633947
  193. Sun Jun 21 17:34:21 2026 heaviest cycle: 22 relations
  194. Sun Jun 21 17:34:22 2026 commencing cycle optimization
  195. Sun Jun 21 17:34:36 2026 start with 77181276 relations
  196. Sun Jun 21 17:35:37 2026 pruned 1968335 relations
  197. Sun Jun 21 17:35:38 2026 memory use: 2499.0 MB
  198. Sun Jun 21 17:35:38 2026 distribution of cycle lengths:
  199. Sun Jun 21 17:35:38 2026 1 relations: 1244330
  200. Sun Jun 21 17:35:38 2026 2 relations: 1155335
  201. Sun Jun 21 17:35:38 2026 3 relations: 1233685
  202. Sun Jun 21 17:35:38 2026 4 relations: 1196612
  203. Sun Jun 21 17:35:38 2026 5 relations: 1168159
  204. Sun Jun 21 17:35:38 2026 6 relations: 1078502
  205. Sun Jun 21 17:35:38 2026 7 relations: 982124
  206. Sun Jun 21 17:35:38 2026 8 relations: 873893
  207. Sun Jun 21 17:35:38 2026 9 relations: 747913
  208. Sun Jun 21 17:35:38 2026 10+ relations: 2445940
  209. Sun Jun 21 17:35:38 2026 heaviest cycle: 22 relations
  210. Sun Jun 21 17:35:46 2026 RelProcTime: 2644
  211. Sun Jun 21 17:35:48 2026
  212. Sun Jun 21 17:35:48 2026 commencing linear algebra
  213. Sun Jun 21 17:35:48 2026 using VBITS=256
  214. Sun Jun 21 17:35:49 2026 read 12126493 cycles
  215. Sun Jun 21 17:35:59 2026 cycles contain 41249467 unique relations
  216. Sun Jun 21 17:38:13 2026 read 41249467 relations
  217. Sun Jun 21 17:39:03 2026 using 20 quadratic characters above 4294917295
  218. Sun Jun 21 17:40:02 2026 building initial matrix
  219. Sun Jun 21 17:44:27 2026 memory use: 5704.0 MB
  220. Sun Jun 21 17:44:35 2026 read 12126493 cycles
  221. Sun Jun 21 17:44:36 2026 matrix is 12126313 x 12126493 (4548.2 MB) with weight 1400043105 (115.45/col)
  222. Sun Jun 21 17:44:36 2026 sparse part has weight 1046755009 (86.32/col)
  223. Sun Jun 21 17:45:53 2026 filtering completed in 2 passes
  224. Sun Jun 21 17:45:55 2026 matrix is 12120749 x 12120926 (4547.7 MB) with weight 1399819855 (115.49/col)
  225. Sun Jun 21 17:45:55 2026 sparse part has weight 1046694354 (86.35/col)
  226. Sun Jun 21 17:46:09 2026 matrix starts at (0, 0)
  227. Sun Jun 21 17:46:10 2026 matrix is 12120749 x 12120926 (4547.7 MB) with weight 1399819855 (115.49/col)
  228. Sun Jun 21 17:46:10 2026 sparse part has weight 1046694354 (86.35/col)
  229. Sun Jun 21 17:46:10 2026 saving the first 240 matrix rows for later
  230. Sun Jun 21 17:46:12 2026 matrix includes 256 packed rows
  231. Sun Jun 21 17:46:14 2026 matrix is 12120509 x 12120926 (4154.9 MB) with weight 953522166 (78.67/col)
  232. Sun Jun 21 17:46:14 2026 sparse part has weight 895234212 (73.86/col)
  233. Sun Jun 21 17:46:14 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  234. Sun Jun 21 17:46:14 2026 selected card has CUDA arch 8.6
  235. Sun Jun 21 17:47:47 2026 commencing Lanczos iteration
  236. Sun Jun 21 17:47:48 2026 memory use: 9881.8 MB
  237. Sun Jun 21 17:50:46 2026 linear algebra at 0.3%, ETA 19h23m
  238. Sun Jun 21 17:55:12 2026 checking every 10000 dimensions, checkpointing every 630000 dimensions
  239. Mon Jun 22 13:09:35 2026 lanczos halted after 47489 iterations (dim = 12120507)
  240. Mon Jun 22 13:10:13 2026 recovered 31 nontrivial dependencies
  241. Mon Jun 22 13:10:13 2026 BLanczosTime: 70465
  242. Mon Jun 22 13:10:13 2026
  243. Mon Jun 22 13:10:13 2026 commencing square root phase
  244. Mon Jun 22 13:10:13 2026 handling dependencies 1 to 64
  245. Mon Jun 22 13:10:13 2026 reading relations for dependency 1
  246. Mon Jun 22 13:10:17 2026 read 6060020 cycles
  247. Mon Jun 22 13:10:23 2026 cycles contain 20620160 unique relations
  248. Mon Jun 22 13:12:03 2026 read 20620160 relations
  249. Mon Jun 22 13:13:51 2026 multiplying 20620160 relations
  250. Mon Jun 22 13:17:15 2026 multiply complete, coefficients have about 1128.61 million bits
  251. Mon Jun 22 13:17:18 2026 initial square root is modulo 115637
  252. Mon Jun 22 13:24:08 2026 GCD is 1, no factor found
  253. Mon Jun 22 13:24:08 2026 reading relations for dependency 2
  254. Mon Jun 22 13:24:10 2026 read 6059922 cycles
  255. Mon Jun 22 13:24:15 2026 cycles contain 20625148 unique relations
  256. Mon Jun 22 13:26:00 2026 read 20625148 relations
  257. Mon Jun 22 13:27:41 2026 multiplying 20625148 relations
  258. Mon Jun 22 13:31:08 2026 multiply complete, coefficients have about 1128.90 million bits
  259. Mon Jun 22 13:31:11 2026 initial square root is modulo 115877
  260. Mon Jun 22 13:37:58 2026 sqrtTime: 1665
  261. Mon Jun 22 13:37:58 2026 p87 factor: 164856737372739584538624143003321169314503290595700105783141137878191927854322182306883
  262. Mon Jun 22 13:37:58 2026 p89 factor: 99218840193876019370227613870668092671260332909816250578187453491234840226313721310854479
  263. Mon Jun 22 13:37:58 2026 elapsed time 20:46:16
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