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gchilders
Sep 15th, 2026
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  1. Mon Sep 14 19:40:59 2026
  2. Mon Sep 14 19:40:59 2026
  3. Mon Sep 14 19:40:59 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 14 19:40:59 2026 random seeds: da68da88 77008152
  5. Mon Sep 14 19:40:59 2026 MPI process 0 of 1
  6. Mon Sep 14 19:40:59 2026 Using 46 OpenMP threads
  7. Mon Sep 14 19:40:59 2026 factoring 472778330604652404717471790800171717657283674379615967916213917657389257119826196591878502133222112452278243109978479820014470019856584165739072336052977595803982914016114489967060853364877480720035810821419402662431539988702087742619440152858881 (246 digits)
  8. Mon Sep 14 19:41:00 2026 no P-1/P+1/ECM available, skipping
  9. Mon Sep 14 19:41:00 2026 commencing number field sieve (246-digit input)
  10. Mon Sep 14 19:41:00 2026 R0: 161558713389263217748322010169914619837072677910327911376953125
  11. Mon Sep 14 19:41:00 2026 R1: -2909321189362570808630465826492242446680483
  12. Mon Sep 14 19:41:00 2026 A0: 1
  13. Mon Sep 14 19:41:00 2026 A1: 1
  14. Mon Sep 14 19:41:00 2026 A2: 1
  15. Mon Sep 14 19:41:00 2026 A3: 1
  16. Mon Sep 14 19:41:00 2026 A4: 1
  17. Mon Sep 14 19:41:00 2026 skew 2.02, size 2.677e-25, alpha 1.694, combined = 4.555e-15 rroots = 0
  18. Mon Sep 14 19:41:00 2026
  19. Mon Sep 14 19:41:00 2026 commencing relation filtering
  20. Mon Sep 14 19:41:00 2026 setting target matrix density to 90.0
  21. Mon Sep 14 19:41:00 2026 estimated available RAM is 192068.7 MB
  22. Mon Sep 14 19:41:00 2026 commencing duplicate removal, pass 1
  23. Mon Sep 14 19:59:59 2026 found 180847643 hash collisions in 838126180 relations
  24. Mon Sep 14 20:00:08 2026 added 3657741 free relations
  25. Mon Sep 14 20:00:08 2026 commencing duplicate removal, pass 2
  26. Mon Sep 14 20:16:37 2026 found 195225900 duplicates and 646558021 unique relations
  27. Mon Sep 14 20:16:37 2026 memory use: 7608.0 MB
  28. Mon Sep 14 20:16:38 2026 reading ideals above 355270656
  29. Mon Sep 14 20:16:38 2026 commencing singleton removal, initial pass
  30. Mon Sep 14 20:36:48 2026 LP64 contains 646558021 relations and 648056848 unique large ideals
  31. Mon Sep 14 20:36:48 2026 memory use: 20572.0 MB
  32. Mon Sep 14 20:36:49 2026 preparing 64-bit LP file for common filtering
  33. Mon Sep 14 20:36:49 2026 start with 646558021 relations and 648056848 ideals
  34. Mon Sep 14 20:37:43 2026 compacted LP dataset has 646558021 relations and 648056848 large ideals
  35. Mon Sep 14 20:37:43 2026 reading all ideals from disk
  36. Mon Sep 14 20:37:51 2026 memory use: 17085.6 MB
  37. Mon Sep 14 20:37:58 2026 commencing in-memory singleton removal
  38. Mon Sep 14 20:38:01 2026 begin with 646558021 relations and 648056848 unique ideals
  39. Mon Sep 14 20:38:22 2026 reduce to 278077587 relations and 226848711 ideals in 25 passes
  40. Mon Sep 14 20:38:22 2026 max relations containing the same ideal: 30
  41. Mon Sep 14 20:38:32 2026 reading ideals above 720000
  42. Mon Sep 14 20:38:33 2026 commencing singleton removal, initial pass
  43. Mon Sep 14 20:57:30 2026 LP64 contains 278077587 relations and 264860779 unique large ideals
  44. Mon Sep 14 20:57:30 2026 memory use: 9156.0 MB
  45. Mon Sep 14 20:57:32 2026 preparing 64-bit LP file for common filtering
  46. Mon Sep 14 20:57:32 2026 start with 278077587 relations and 264860779 ideals
  47. Mon Sep 14 20:58:24 2026 compacted LP dataset has 278077587 relations and 264860779 large ideals
  48. Mon Sep 14 20:58:24 2026 reading all ideals from disk
  49. Mon Sep 14 20:58:32 2026 memory use: 14108.3 MB
  50. Mon Sep 14 20:58:39 2026 keeping 263570320 ideals with weight <= 200, target excess is 1406377
  51. Mon Sep 14 20:59:10 2026 commencing in-memory singleton removal
  52. Mon Sep 14 20:59:14 2026 begin with 278077587 relations and 263570320 unique ideals
  53. Mon Sep 14 20:59:28 2026 reduce to 277835731 relations and 263328437 ideals in 15 passes
  54. Mon Sep 14 20:59:28 2026 max relations containing the same ideal: 200
  55. Mon Sep 14 21:00:54 2026 removing 22970283 relations and 20970283 ideals in 2000000 cliques
  56. Mon Sep 14 21:00:58 2026 commencing in-memory singleton removal
  57. Mon Sep 14 21:01:01 2026 begin with 254865448 relations and 263328437 unique ideals
  58. Mon Sep 14 21:01:18 2026 reduce to 253007844 relations and 240479594 ideals in 13 passes
  59. Mon Sep 14 21:01:18 2026 max relations containing the same ideal: 195
  60. Mon Sep 14 21:02:38 2026 removing 17041571 relations and 15041571 ideals in 2000000 cliques
  61. Mon Sep 14 21:02:42 2026 commencing in-memory singleton removal
  62. Mon Sep 14 21:02:45 2026 begin with 235966273 relations and 240479594 unique ideals
  63. Mon Sep 14 21:02:58 2026 reduce to 234826429 relations and 224287332 ideals in 15 passes
  64. Mon Sep 14 21:02:58 2026 max relations containing the same ideal: 188
  65. Mon Sep 14 21:04:22 2026 removing 15207686 relations and 13207686 ideals in 2000000 cliques
  66. Mon Sep 14 21:04:25 2026 commencing in-memory singleton removal
  67. Mon Sep 14 21:04:27 2026 begin with 219618743 relations and 224287332 unique ideals
  68. Mon Sep 14 21:04:38 2026 reduce to 218634887 relations and 210086743 ideals in 11 passes
  69. Mon Sep 14 21:04:38 2026 max relations containing the same ideal: 182
  70. Mon Sep 14 21:05:46 2026 removing 14258971 relations and 12258971 ideals in 2000000 cliques
  71. Mon Sep 14 21:05:48 2026 commencing in-memory singleton removal
  72. Mon Sep 14 21:05:51 2026 begin with 204375916 relations and 210086743 unique ideals
  73. Mon Sep 14 21:06:00 2026 reduce to 203443476 relations and 196886350 ideals in 11 passes
  74. Mon Sep 14 21:06:00 2026 max relations containing the same ideal: 174
  75. Mon Sep 14 21:07:01 2026 removing 13700136 relations and 11700136 ideals in 2000000 cliques
  76. Mon Sep 14 21:07:04 2026 commencing in-memory singleton removal
  77. Mon Sep 14 21:07:06 2026 begin with 189743340 relations and 196886350 unique ideals
  78. Mon Sep 14 21:07:18 2026 reduce to 188814739 relations and 184248429 ideals in 11 passes
  79. Mon Sep 14 21:07:18 2026 max relations containing the same ideal: 166
  80. Mon Sep 14 21:08:14 2026 removing 13361208 relations and 11361208 ideals in 2000000 cliques
  81. Mon Sep 14 21:08:16 2026 commencing in-memory singleton removal
  82. Mon Sep 14 21:08:19 2026 begin with 175453531 relations and 184248429 unique ideals
  83. Mon Sep 14 21:08:29 2026 reduce to 174494301 relations and 171918158 ideals in 10 passes
  84. Mon Sep 14 21:08:29 2026 max relations containing the same ideal: 158
  85. Mon Sep 14 21:09:20 2026 removing 7267033 relations and 6322288 ideals in 944745 cliques
  86. Mon Sep 14 21:09:22 2026 commencing in-memory singleton removal
  87. Mon Sep 14 21:09:25 2026 begin with 167227268 relations and 171918158 unique ideals
  88. Mon Sep 14 21:09:33 2026 reduce to 166937944 relations and 165304931 ideals in 9 passes
  89. Mon Sep 14 21:09:33 2026 max relations containing the same ideal: 154
  90. Mon Sep 14 21:10:22 2026 relations with 0 large ideals: 111886
  91. Mon Sep 14 21:10:22 2026 relations with 1 large ideals: 12349
  92. Mon Sep 14 21:10:22 2026 relations with 2 large ideals: 141849
  93. Mon Sep 14 21:10:22 2026 relations with 3 large ideals: 1283132
  94. Mon Sep 14 21:10:22 2026 relations with 4 large ideals: 6662645
  95. Mon Sep 14 21:10:22 2026 relations with 5 large ideals: 23576711
  96. Mon Sep 14 21:10:22 2026 relations with 6 large ideals: 38365912
  97. Mon Sep 14 21:10:22 2026 relations with 7+ large ideals: 96783460
  98. Mon Sep 14 21:10:22 2026 commencing 2-way merge
  99. Mon Sep 14 21:11:32 2026 reduce to 96521221 relation sets and 94888208 unique ideals
  100. Mon Sep 14 21:11:32 2026 ignored 1 oversize relation sets
  101. Mon Sep 14 21:11:32 2026 commencing full merge
  102. Mon Sep 14 21:34:23 2026 memory use: 11650.7 MB
  103. Mon Sep 14 21:34:24 2026 found 46324773 cycles, need 46194408
  104. Mon Sep 14 21:34:35 2026 weight of 46194408 cycles is about 4157833614 (90.01/cycle)
  105. Mon Sep 14 21:34:35 2026 distribution of cycle lengths:
  106. Mon Sep 14 21:34:35 2026 1 relations: 5198146
  107. Mon Sep 14 21:34:35 2026 2 relations: 4714857
  108. Mon Sep 14 21:34:35 2026 3 relations: 4547834
  109. Mon Sep 14 21:34:35 2026 4 relations: 4200948
  110. Mon Sep 14 21:34:35 2026 5 relations: 3852596
  111. Mon Sep 14 21:34:35 2026 6 relations: 3379087
  112. Mon Sep 14 21:34:35 2026 7 relations: 3040948
  113. Mon Sep 14 21:34:35 2026 8 relations: 2708656
  114. Mon Sep 14 21:34:35 2026 9 relations: 2376977
  115. Mon Sep 14 21:34:35 2026 10+ relations: 12174359
  116. Mon Sep 14 21:34:35 2026 heaviest cycle: 28 relations
  117. Mon Sep 14 21:34:37 2026 commencing cycle optimization
  118. Mon Sep 14 21:35:37 2026 start with 317205200 relations
  119. Mon Sep 14 21:42:25 2026 pruned 6672008 relations
  120. Mon Sep 14 21:42:25 2026 memory use: 10598.7 MB
  121. Mon Sep 14 21:42:26 2026 distribution of cycle lengths:
  122. Mon Sep 14 21:42:26 2026 1 relations: 5198146
  123. Mon Sep 14 21:42:26 2026 2 relations: 4796826
  124. Mon Sep 14 21:42:26 2026 3 relations: 4686075
  125. Mon Sep 14 21:42:26 2026 4 relations: 4291113
  126. Mon Sep 14 21:42:26 2026 5 relations: 3933795
  127. Mon Sep 14 21:42:26 2026 6 relations: 3425855
  128. Mon Sep 14 21:42:26 2026 7 relations: 3074827
  129. Mon Sep 14 21:42:26 2026 8 relations: 2717528
  130. Mon Sep 14 21:42:26 2026 9 relations: 2377978
  131. Mon Sep 14 21:42:26 2026 10+ relations: 11692265
  132. Mon Sep 14 21:42:26 2026 heaviest cycle: 28 relations
  133. Mon Sep 14 21:42:38 2026 RelProcTime: 7298
  134. Mon Sep 14 21:42:38 2026 elapsed time 02:01:39
  135. Mon Sep 14 21:42:39 2026
  136. Mon Sep 14 21:42:39 2026
  137. Mon Sep 14 21:42:39 2026 Msieve v. 1.54 (SVN Unversioned directory)
  138. Mon Sep 14 21:42:39 2026 random seeds: 943ebc56 89d56330
  139. Mon Sep 14 21:42:39 2026 MPI process 0 of 1
  140. Mon Sep 14 21:42:39 2026 Using 46 OpenMP threads
  141. Mon Sep 14 21:42:39 2026 factoring 472778330604652404717471790800171717657283674379615967916213917657389257119826196591878502133222112452278243109978479820014470019856584165739072336052977595803982914016114489967060853364877480720035810821419402662431539988702087742619440152858881 (246 digits)
  142. Mon Sep 14 21:42:40 2026 no P-1/P+1/ECM available, skipping
  143. Mon Sep 14 21:42:40 2026 commencing number field sieve (246-digit input)
  144. Mon Sep 14 21:42:40 2026 R0: 161558713389263217748322010169914619837072677910327911376953125
  145. Mon Sep 14 21:42:40 2026 R1: -2909321189362570808630465826492242446680483
  146. Mon Sep 14 21:42:40 2026 A0: 1
  147. Mon Sep 14 21:42:40 2026 A1: 1
  148. Mon Sep 14 21:42:40 2026 A2: 1
  149. Mon Sep 14 21:42:40 2026 A3: 1
  150. Mon Sep 14 21:42:40 2026 A4: 1
  151. Mon Sep 14 21:42:40 2026 skew 2.02, size 2.677e-25, alpha 1.694, combined = 4.555e-15 rroots = 0
  152. Mon Sep 14 21:42:40 2026
  153. Mon Sep 14 21:42:40 2026 commencing linear algebra
  154. Mon Sep 14 21:42:40 2026 using VBITS=128
  155. Mon Sep 14 21:42:40 2026 stopping after matrix build
  156. Mon Sep 14 21:42:40 2026 initialized process (0,0) of 1 x 1 grid
  157. Mon Sep 14 21:42:46 2026 read 46194408 cycles
  158. Mon Sep 14 21:44:18 2026 cycles contain 165157634 unique relations
  159. Mon Sep 14 21:57:20 2026 read 165157634 relations
  160. Mon Sep 14 21:57:32 2026 using 20 quadratic characters above 4294917295
  161. Mon Sep 14 21:57:53 2026 building initial matrix
  162. Mon Sep 14 22:22:03 2026 memory use: 20586.4 MB
  163. Mon Sep 14 22:22:49 2026 read 46194408 cycles
  164. Mon Sep 14 22:22:54 2026 matrix is 46194227 x 46194408 (17317.5 MB) with weight 4962685066 (107.43/col)
  165. Mon Sep 14 22:22:54 2026 sparse part has weight 4031528954 (87.27/col)
  166. Mon Sep 14 22:33:34 2026 filtering completed in 2 passes
  167. Mon Sep 14 22:33:41 2026 matrix is 46168953 x 46169128 (17315.7 MB) with weight 4961985487 (107.47/col)
  168. Mon Sep 14 22:33:41 2026 sparse part has weight 4031346602 (87.32/col)
  169. Mon Sep 14 22:35:20 2026 BLanczosTime: 3160
  170. Mon Sep 14 22:35:20 2026 elapsed time 00:52:41
  171. Mon Sep 14 22:35:22 2026
  172. Mon Sep 14 22:35:22 2026
  173. Mon Sep 14 22:35:22 2026 Msieve v. 1.54 (SVN Unversioned directory)
  174. Mon Sep 14 22:35:22 2026 random seeds: 1194d16b 4109c109
  175. Mon Sep 14 22:35:22 2026 MPI process 0 of 2
  176. Mon Sep 14 22:35:22 2026 Using 6 OpenMP threads
  177. Mon Sep 14 22:35:22 2026 factoring 472778330604652404717471790800171717657283674379615967916213917657389257119826196591878502133222112452278243109978479820014470019856584165739072336052977595803982914016114489967060853364877480720035810821419402662431539988702087742619440152858881 (246 digits)
  178. Mon Sep 14 22:35:23 2026 no P-1/P+1/ECM available, skipping
  179. Mon Sep 14 22:35:23 2026 commencing number field sieve (246-digit input)
  180. Mon Sep 14 22:35:23 2026 R0: 161558713389263217748322010169914619837072677910327911376953125
  181. Mon Sep 14 22:35:23 2026 R1: -2909321189362570808630465826492242446680483
  182. Mon Sep 14 22:35:23 2026 A0: 1
  183. Mon Sep 14 22:35:23 2026 A1: 1
  184. Mon Sep 14 22:35:23 2026 A2: 1
  185. Mon Sep 14 22:35:23 2026 A3: 1
  186. Mon Sep 14 22:35:23 2026 A4: 1
  187. Mon Sep 14 22:35:23 2026 skew 2.02, size 2.677e-25, alpha 1.694, combined = 4.555e-15 rroots = 0
  188. Mon Sep 14 22:35:23 2026
  189. Mon Sep 14 22:35:23 2026 commencing linear algebra
  190. Mon Sep 14 22:35:23 2026 using VBITS=256
  191. Mon Sep 14 22:35:23 2026 skipping matrix build
  192. Mon Sep 14 22:35:23 2026 initialized process (0,0) of 1 x 2 grid
  193. Mon Sep 14 22:35:34 2026 matrix starts at (0, 0)
  194. Mon Sep 14 22:35:36 2026 matrix is 46168953 x 23084374 (8657.8 MB) with weight 2480991268 (107.47/col)
  195. Mon Sep 14 22:35:36 2026 sparse part has weight 2015673438 (87.32/col)
  196. Mon Sep 14 22:35:36 2026 saving the first 240 matrix rows for later
  197. Mon Sep 14 22:35:41 2026 matrix includes 256 packed rows
  198. Mon Sep 14 22:35:46 2026 matrix is 46168713 x 23084374 (8130.0 MB) with weight 1847067896 (80.01/col)
  199. Mon Sep 14 22:35:46 2026 sparse part has weight 1761870672 (76.32/col)
  200. Mon Sep 14 22:35:46 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  201. Mon Sep 14 22:35:46 2026 selected card has CUDA arch 8.0
  202. Mon Sep 14 22:37:59 2026 commencing Lanczos iteration
  203. Mon Sep 14 22:38:01 2026 memory use: 21719.6 MB
  204. Mon Sep 14 22:38:59 2026 linear algebra at 0.1%, ETA 17h59m
  205. Mon Sep 14 22:40:05 2026 checking every 40000 dimensions, checkpointing every 2560000 dimensions
  206. Tue Sep 15 16:54:34 2026 lanczos halted after 180889 iterations (dim = 46168712)
  207. Tue Sep 15 16:57:39 2026 recovered 36 nontrivial dependencies
  208. Tue Sep 15 16:57:39 2026 BLanczosTime: 66136
  209. Tue Sep 15 16:57:39 2026 elapsed time 18:22:17
  210. Tue Sep 15 16:57:40 2026
  211. Tue Sep 15 16:57:40 2026
  212. Tue Sep 15 16:57:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
  213. Tue Sep 15 16:57:40 2026 random seeds: 76c32c6b 78df9fe6
  214. Tue Sep 15 16:57:40 2026 MPI process 0 of 1
  215. Tue Sep 15 16:57:40 2026 Using 32 OpenMP threads
  216. Tue Sep 15 16:57:40 2026 factoring 472778330604652404717471790800171717657283674379615967916213917657389257119826196591878502133222112452278243109978479820014470019856584165739072336052977595803982914016114489967060853364877480720035810821419402662431539988702087742619440152858881 (246 digits)
  217. Tue Sep 15 16:57:41 2026 no P-1/P+1/ECM available, skipping
  218. Tue Sep 15 16:57:41 2026 commencing number field sieve (246-digit input)
  219. Tue Sep 15 16:57:41 2026 R0: 161558713389263217748322010169914619837072677910327911376953125
  220. Tue Sep 15 16:57:41 2026 R1: -2909321189362570808630465826492242446680483
  221. Tue Sep 15 16:57:41 2026 A0: 1
  222. Tue Sep 15 16:57:41 2026 A1: 1
  223. Tue Sep 15 16:57:41 2026 A2: 1
  224. Tue Sep 15 16:57:41 2026 A3: 1
  225. Tue Sep 15 16:57:41 2026 A4: 1
  226. Tue Sep 15 16:57:41 2026 skew 2.02, size 2.677e-25, alpha 1.694, combined = 4.555e-15 rroots = 0
  227. Tue Sep 15 16:57:41 2026
  228. Tue Sep 15 16:57:41 2026 commencing square root phase
  229. Tue Sep 15 16:57:41 2026 reading relations for dependency 1
  230. Tue Sep 15 16:57:47 2026 read 23084938 cycles
  231. Tue Sep 15 16:58:29 2026 cycles contain 82583278 unique relations
  232. Tue Sep 15 17:11:02 2026 read 82583278 relations
  233. Tue Sep 15 17:15:32 2026 multiplying 82583278 relations
  234. Tue Sep 15 17:18:41 2026 multiply complete, coefficients have about 2271.47 million bits
  235. Tue Sep 15 17:18:48 2026 initial square root is modulo 124337
  236. Tue Sep 15 17:30:42 2026 GCD is N, no factor found
  237. Tue Sep 15 17:30:42 2026 reading relations for dependency 2
  238. Tue Sep 15 17:30:47 2026 read 23091367 cycles
  239. Tue Sep 15 17:31:29 2026 cycles contain 82587354 unique relations
  240. Tue Sep 15 17:43:55 2026 read 82587354 relations
  241. Tue Sep 15 17:49:52 2026 multiplying 82587354 relations
  242. Tue Sep 15 17:53:02 2026 multiply complete, coefficients have about 2271.59 million bits
  243. Tue Sep 15 17:53:09 2026 initial square root is modulo 124427
  244. Tue Sep 15 18:05:27 2026 GCD is N, no factor found
  245. Tue Sep 15 18:05:27 2026 reading relations for dependency 3
  246. Tue Sep 15 18:05:32 2026 read 23081918 cycles
  247. Tue Sep 15 18:06:15 2026 cycles contain 82571500 unique relations
  248. Tue Sep 15 18:18:43 2026 read 82571500 relations
  249. Tue Sep 15 18:23:26 2026 multiplying 82571500 relations
  250. Tue Sep 15 18:26:25 2026 multiply complete, coefficients have about 2271.15 million bits
  251. Tue Sep 15 18:26:32 2026 initial square root is modulo 124133
  252. Tue Sep 15 18:38:28 2026 GCD is N, no factor found
  253. Tue Sep 15 18:38:28 2026 reading relations for dependency 4
  254. Tue Sep 15 18:38:32 2026 read 23081393 cycles
  255. Tue Sep 15 18:39:08 2026 cycles contain 82569144 unique relations
  256. Tue Sep 15 18:51:32 2026 read 82569144 relations
  257. Tue Sep 15 18:56:05 2026 multiplying 82569144 relations
  258. Tue Sep 15 18:59:06 2026 multiply complete, coefficients have about 2271.08 million bits
  259. Tue Sep 15 18:59:13 2026 initial square root is modulo 124087
  260. Tue Sep 15 19:11:08 2026 sqrtTime: 8007
  261. Tue Sep 15 19:11:08 2026 p85 factor: 3460838179031955641592449991783902843128089193926265561851872272993042148556648901501
  262. Tue Sep 15 19:11:08 2026 p162 factor: 136608042950131534323411476865568041453866030394985208960795143606629754554927287769428049919705016578200739548861011779215103754235120199163819559671346290887381
  263. Tue Sep 15 19:11:08 2026 elapsed time 02:13:28
  264.  
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