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Jul 7th, 2026
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  1. Mon Jul 6 02:57:12 2026
  2. Mon Jul 6 02:57:12 2026
  3. Mon Jul 6 02:57:12 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jul 6 02:57:12 2026 random seeds: 6c85a47a 4cb61ca1
  5. Mon Jul 6 02:57:12 2026 MPI process 0 of 1
  6. Mon Jul 6 02:57:12 2026 Using 32 OpenMP threads
  7. Mon Jul 6 02:57:12 2026 factoring 257350410620496070746147588057384323680964552192070734733436773122005786914699920206897471229456699137509842154417680137741330023550713835745476970905553788112768805712078325044517 (180 digits)
  8. Mon Jul 6 02:57:13 2026 searching for 15-digit factors
  9. Mon Jul 6 02:57:13 2026 commencing number field sieve (180-digit input)
  10. Mon Jul 6 02:57:13 2026 R0: -50476216416504308882461469366070613
  11. Mon Jul 6 02:57:13 2026 R1: 24038281287533
  12. Mon Jul 6 02:57:13 2026 A0: 6478889778343215758761261231677925428188760
  13. Mon Jul 6 02:57:13 2026 A1: -1436998885879405962165101115258830006
  14. Mon Jul 6 02:57:13 2026 A2: 34451351201530324052920397887
  15. Mon Jul 6 02:57:13 2026 A3: -9643185058009673155067
  16. Mon Jul 6 02:57:13 2026 A4: -75078431105916
  17. Mon Jul 6 02:57:13 2026 A5: 1570800
  18. Mon Jul 6 02:57:13 2026 skew 38705760.61, size 1.426e-17, alpha -7.705, combined = 8.842e-14 rroots = 3
  19. Mon Jul 6 02:57:13 2026
  20. Mon Jul 6 02:57:13 2026 commencing relation filtering
  21. Mon Jul 6 02:57:13 2026 setting target matrix density to 120.0
  22. Mon Jul 6 02:57:13 2026 estimated available RAM is 257736.5 MB
  23. Mon Jul 6 02:57:13 2026 commencing duplicate removal, pass 1
  24. Mon Jul 6 02:57:32 2026 error -1 reading relation 10009211
  25. Mon Jul 6 02:57:38 2026 error -1 reading relation 12158146
  26. Mon Jul 6 02:58:06 2026 error -1 reading relation 21502704
  27. Mon Jul 6 02:58:13 2026 error -1 reading relation 23983989
  28. Mon Jul 6 03:00:19 2026 error -1 reading relation 64645913
  29. Mon Jul 6 03:00:44 2026 error -1 reading relation 72892810
  30. Mon Jul 6 03:01:27 2026 error -1 reading relation 86765000
  31. Mon Jul 6 03:03:22 2026 error -1 reading relation 126397624
  32. Mon Jul 6 03:03:36 2026 error -15 reading relation 131193159
  33. Mon Jul 6 03:03:55 2026 error -1 reading relation 136957240
  34. Mon Jul 6 03:04:51 2026 error -1 reading relation 151372065
  35. Mon Jul 6 03:05:15 2026 error -1 reading relation 158541524
  36. Mon Jul 6 03:06:04 2026 error -1 reading relation 173851029
  37. Mon Jul 6 03:06:09 2026 error -1 reading relation 175514435
  38. Mon Jul 6 03:07:12 2026 error -1 reading relation 198080120
  39. Mon Jul 6 03:07:23 2026 error -1 reading relation 201776746
  40. Mon Jul 6 03:08:44 2026 error -1 reading relation 226949574
  41. Mon Jul 6 03:09:17 2026 error -15 reading relation 237004296
  42. Mon Jul 6 03:09:38 2026 error -11 reading relation 243965193
  43. Mon Jul 6 03:09:54 2026 error -1 reading relation 249165003
  44. Mon Jul 6 03:09:59 2026 error -1 reading relation 250780926
  45. Mon Jul 6 03:10:53 2026 error -1 reading relation 268500498
  46. Mon Jul 6 03:10:54 2026 error -1 reading relation 268681652
  47. Mon Jul 6 03:11:11 2026 error -1 reading relation 274108955
  48. Mon Jul 6 03:11:46 2026 error -1 reading relation 284127039
  49. Mon Jul 6 03:12:26 2026 error -1 reading relation 296955295
  50. Mon Jul 6 03:12:27 2026 error -1 reading relation 297451973
  51. Mon Jul 6 03:12:46 2026 error -1 reading relation 303652481
  52. Mon Jul 6 03:12:57 2026 error -1 reading relation 307051040
  53. Mon Jul 6 03:12:59 2026 error -1 reading relation 307601652
  54. Mon Jul 6 03:12:59 2026 error -1 reading relation 307610812
  55. Mon Jul 6 03:13:01 2026 error -1 reading relation 308669143
  56. Mon Jul 6 03:13:01 2026 error -1 reading relation 308669581
  57. Mon Jul 6 03:13:01 2026 error -1 reading relation 308681173
  58. Mon Jul 6 03:13:07 2026 error -1 reading relation 310901446
  59. Mon Jul 6 03:13:13 2026 error -1 reading relation 312621748
  60. Mon Jul 6 03:13:15 2026 error -1 reading relation 313370322
  61. Mon Jul 6 03:13:16 2026 error -1 reading relation 313465182
  62. Mon Jul 6 03:13:16 2026 error -1 reading relation 313478439
  63. Mon Jul 6 03:13:16 2026 error -15 reading relation 313492446
  64. Mon Jul 6 03:13:16 2026 error -15 reading relation 313538608
  65. Mon Jul 6 03:13:16 2026 error -1 reading relation 313551319
  66. Mon Jul 6 03:13:16 2026 error -15 reading relation 313575588
  67. Mon Jul 6 03:13:26 2026 skipped 5 relations with composite factors
  68. Mon Jul 6 03:13:26 2026 skipped 150 malformed relations
  69. Mon Jul 6 03:13:26 2026 found 72953896 hash collisions in 316891668 relations
  70. Mon Jul 6 03:14:07 2026 added 121919 free relations
  71. Mon Jul 6 03:14:07 2026 commencing duplicate removal, pass 2
  72. Mon Jul 6 03:27:19 2026 found 80889474 duplicates and 236124113 unique relations
  73. Mon Jul 6 03:27:19 2026 memory use: 1705.5 MB
  74. Mon Jul 6 03:27:19 2026 reading ideals above 720000
  75. Mon Jul 6 03:27:20 2026 commencing singleton removal, initial pass
  76. Mon Jul 6 04:12:08 2026 memory use: 6024.0 MB
  77. Mon Jul 6 04:12:09 2026 reading all ideals from disk
  78. Mon Jul 6 04:12:19 2026 memory use: 11375.4 MB
  79. Mon Jul 6 04:14:11 2026 keeping 237565990 ideals with weight <= 200, target excess is 1247288
  80. Mon Jul 6 04:16:05 2026 commencing in-memory singleton removal
  81. Mon Jul 6 04:16:10 2026 begin with 236124113 relations and 237565990 unique ideals
  82. Mon Jul 6 04:16:45 2026 reduce to 125592212 relations and 113285995 ideals in 21 passes
  83. Mon Jul 6 04:16:45 2026 max relations containing the same ideal: 139
  84. Mon Jul 6 04:19:04 2026 removing 13978066 relations and 11978066 ideals in 2000000 cliques
  85. Mon Jul 6 04:19:14 2026 commencing in-memory singleton removal
  86. Mon Jul 6 04:19:18 2026 begin with 111614146 relations and 113285995 unique ideals
  87. Mon Jul 6 04:19:32 2026 reduce to 110294843 relations and 99960753 ideals in 11 passes
  88. Mon Jul 6 04:19:32 2026 max relations containing the same ideal: 129
  89. Mon Jul 6 04:21:25 2026 removing 10732938 relations and 8732938 ideals in 2000000 cliques
  90. Mon Jul 6 04:21:34 2026 commencing in-memory singleton removal
  91. Mon Jul 6 04:21:37 2026 begin with 99561905 relations and 99960753 unique ideals
  92. Mon Jul 6 04:21:46 2026 reduce to 98649005 relations and 90297614 ideals in 9 passes
  93. Mon Jul 6 04:21:46 2026 max relations containing the same ideal: 116
  94. Mon Jul 6 04:23:31 2026 removing 9795788 relations and 7795788 ideals in 2000000 cliques
  95. Mon Jul 6 04:23:39 2026 commencing in-memory singleton removal
  96. Mon Jul 6 04:23:41 2026 begin with 88853217 relations and 90297614 unique ideals
  97. Mon Jul 6 04:23:49 2026 reduce to 87991111 relations and 81622993 ideals in 9 passes
  98. Mon Jul 6 04:23:49 2026 max relations containing the same ideal: 109
  99. Mon Jul 6 04:25:22 2026 removing 9383728 relations and 7383728 ideals in 2000000 cliques
  100. Mon Jul 6 04:25:29 2026 commencing in-memory singleton removal
  101. Mon Jul 6 04:25:31 2026 begin with 78607383 relations and 81622993 unique ideals
  102. Mon Jul 6 04:25:39 2026 reduce to 77708285 relations and 73321525 ideals in 9 passes
  103. Mon Jul 6 04:25:39 2026 max relations containing the same ideal: 99
  104. Mon Jul 6 04:27:00 2026 removing 9217399 relations and 7217399 ideals in 2000000 cliques
  105. Mon Jul 6 04:27:07 2026 commencing in-memory singleton removal
  106. Mon Jul 6 04:27:09 2026 begin with 68490886 relations and 73321525 unique ideals
  107. Mon Jul 6 04:27:16 2026 reduce to 67498716 relations and 65088550 ideals in 9 passes
  108. Mon Jul 6 04:27:16 2026 max relations containing the same ideal: 92
  109. Mon Jul 6 04:28:30 2026 removing 5249731 relations and 4286420 ideals in 963311 cliques
  110. Mon Jul 6 04:28:36 2026 commencing in-memory singleton removal
  111. Mon Jul 6 04:28:37 2026 begin with 62248985 relations and 65088550 unique ideals
  112. Mon Jul 6 04:28:43 2026 reduce to 61905027 relations and 60453715 ideals in 10 passes
  113. Mon Jul 6 04:28:43 2026 max relations containing the same ideal: 90
  114. Mon Jul 6 04:30:09 2026 relations with 0 large ideals: 4403
  115. Mon Jul 6 04:30:09 2026 relations with 1 large ideals: 23732
  116. Mon Jul 6 04:30:09 2026 relations with 2 large ideals: 340073
  117. Mon Jul 6 04:30:09 2026 relations with 3 large ideals: 2112182
  118. Mon Jul 6 04:30:09 2026 relations with 4 large ideals: 7121684
  119. Mon Jul 6 04:30:09 2026 relations with 5 large ideals: 14219944
  120. Mon Jul 6 04:30:09 2026 relations with 6 large ideals: 17430790
  121. Mon Jul 6 04:30:09 2026 relations with 7+ large ideals: 20652219
  122. Mon Jul 6 04:30:09 2026 commencing 2-way merge
  123. Mon Jul 6 04:31:46 2026 reduce to 37564757 relation sets and 36113445 unique ideals
  124. Mon Jul 6 04:31:46 2026 commencing full merge
  125. Mon Jul 6 05:00:03 2026 memory use: 4071.5 MB
  126. Mon Jul 6 05:00:11 2026 found 16287360 cycles, need 16219645
  127. Mon Jul 6 05:00:20 2026 weight of 16219645 cycles is about 1946956174 (120.04/cycle)
  128. Mon Jul 6 05:00:20 2026 distribution of cycle lengths:
  129. Mon Jul 6 05:00:20 2026 1 relations: 1343443
  130. Mon Jul 6 05:00:20 2026 2 relations: 1202223
  131. Mon Jul 6 05:00:20 2026 3 relations: 1242267
  132. Mon Jul 6 05:00:20 2026 4 relations: 1194926
  133. Mon Jul 6 05:00:20 2026 5 relations: 1167252
  134. Mon Jul 6 05:00:20 2026 6 relations: 1125201
  135. Mon Jul 6 05:00:20 2026 7 relations: 1056292
  136. Mon Jul 6 05:00:20 2026 8 relations: 1000385
  137. Mon Jul 6 05:00:20 2026 9 relations: 923939
  138. Mon Jul 6 05:00:20 2026 10+ relations: 5963717
  139. Mon Jul 6 05:00:20 2026 heaviest cycle: 28 relations
  140. Mon Jul 6 05:00:29 2026 commencing cycle optimization
  141. Mon Jul 6 05:01:56 2026 start with 135562948 relations
  142. Mon Jul 6 05:12:06 2026 pruned 4814282 relations
  143. Mon Jul 6 05:12:07 2026 memory use: 3895.2 MB
  144. Mon Jul 6 05:12:07 2026 distribution of cycle lengths:
  145. Mon Jul 6 05:12:07 2026 1 relations: 1343443
  146. Mon Jul 6 05:12:07 2026 2 relations: 1234358
  147. Mon Jul 6 05:12:07 2026 3 relations: 1290611
  148. Mon Jul 6 05:12:07 2026 4 relations: 1236278
  149. Mon Jul 6 05:12:07 2026 5 relations: 1213549
  150. Mon Jul 6 05:12:07 2026 6 relations: 1160899
  151. Mon Jul 6 05:12:07 2026 7 relations: 1094303
  152. Mon Jul 6 05:12:07 2026 8 relations: 1027774
  153. Mon Jul 6 05:12:07 2026 9 relations: 947096
  154. Mon Jul 6 05:12:07 2026 10+ relations: 5671334
  155. Mon Jul 6 05:12:07 2026 heaviest cycle: 28 relations
  156. Mon Jul 6 05:13:00 2026 RelProcTime: 8147
  157. Mon Jul 6 05:13:09 2026
  158. Mon Jul 6 05:13:09 2026 commencing linear algebra
  159. Mon Jul 6 05:13:09 2026 using VBITS=256
  160. Mon Jul 6 05:13:09 2026 stopping after matrix build
  161. Mon Jul 6 05:13:09 2026 initialized process (0,0) of 1 x 1 grid
  162. Mon Jul 6 05:13:13 2026 read 16219645 cycles
  163. Mon Jul 6 05:14:28 2026 cycles contain 60750019 unique relations
  164. Mon Jul 6 05:21:46 2026 read 60750019 relations
  165. Mon Jul 6 05:21:57 2026 using 20 quadratic characters above 4294917295
  166. Mon Jul 6 05:22:09 2026 building initial matrix
  167. Mon Jul 6 05:56:46 2026 memory use: 8474.3 MB
  168. Mon Jul 6 05:57:16 2026 read 16219645 cycles
  169. Mon Jul 6 05:57:23 2026 matrix is 16219466 x 16219645 (7707.7 MB) with weight 2370997684 (146.18/col)
  170. Mon Jul 6 05:57:23 2026 sparse part has weight 1825903595 (112.57/col)
  171. Mon Jul 6 06:08:52 2026 filtering completed in 2 passes
  172. Mon Jul 6 06:09:04 2026 matrix is 16217416 x 16217593 (7707.5 MB) with weight 2370893390 (146.19/col)
  173. Mon Jul 6 06:09:04 2026 sparse part has weight 1825873599 (112.59/col)
  174. Mon Jul 6 06:11:36 2026 BLanczosTime: 3507
  175. Mon Jul 6 06:11:36 2026 elapsed time 03:14:24
  176. Mon Jul 6 11:26:58 2026
  177. Mon Jul 6 11:26:58 2026
  178. Mon Jul 6 11:26:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  179. Mon Jul 6 11:26:58 2026 random seeds: 1a869985 0906404f
  180. Mon Jul 6 11:26:58 2026 MPI process 0 of 1
  181. Mon Jul 6 11:26:58 2026 Using 64 OpenMP threads
  182. Mon Jul 6 11:26:58 2026 factoring 257350410620496070746147588057384323680964552192070734733436773122005786914699920206897471229456699137509842154417680137741330023550713835745476970905553788112768805712078325044517 (180 digits)
  183. Mon Jul 6 11:26:59 2026 searching for 15-digit factors
  184. Mon Jul 6 11:27:00 2026 commencing number field sieve (180-digit input)
  185. Mon Jul 6 11:27:00 2026 R0: -50476216416504308882461469366070613
  186. Mon Jul 6 11:27:00 2026 R1: 24038281287533
  187. Mon Jul 6 11:27:00 2026 A0: 6478889778343215758761261231677925428188760
  188. Mon Jul 6 11:27:00 2026 A1: -1436998885879405962165101115258830006
  189. Mon Jul 6 11:27:00 2026 A2: 34451351201530324052920397887
  190. Mon Jul 6 11:27:00 2026 A3: -9643185058009673155067
  191. Mon Jul 6 11:27:00 2026 A4: -75078431105916
  192. Mon Jul 6 11:27:00 2026 A5: 1570800
  193. Mon Jul 6 11:27:00 2026 skew 38705760.61, size 1.426e-17, alpha -7.705, combined = 8.842e-14 rroots = 3
  194. Mon Jul 6 11:27:00 2026
  195. Mon Jul 6 11:27:00 2026 commencing linear algebra
  196. Mon Jul 6 11:27:00 2026 using VBITS=256
  197. Mon Jul 6 11:27:00 2026 skipping matrix build
  198. Mon Jul 6 11:27:00 2026 initialized process (0,0) of 1 x 1 grid
  199. Mon Jul 6 11:27:09 2026 matrix starts at (0, 0)
  200. Mon Jul 6 11:27:11 2026 matrix is 16217416 x 16217593 (7707.5 MB) with weight 2370893390 (146.19/col)
  201. Mon Jul 6 11:27:11 2026 sparse part has weight 1825873599 (112.59/col)
  202. Mon Jul 6 11:27:11 2026 saving the first 240 matrix rows for later
  203. Mon Jul 6 11:27:14 2026 matrix includes 256 packed rows
  204. Mon Jul 6 11:27:20 2026 matrix is 16217176 x 16217593 (7020.0 MB) with weight 1684292231 (103.86/col)
  205. Mon Jul 6 11:27:20 2026 sparse part has weight 1580775534 (97.47/col)
  206. Mon Jul 6 11:27:20 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  207. Mon Jul 6 11:27:56 2026 commencing Lanczos iteration (64 threads)
  208. Mon Jul 6 11:27:56 2026 memory use: 10119.6 MB
  209. Mon Jul 6 11:30:22 2026 linear algebra at 0.2%, ETA 20h59m
  210. Mon Jul 6 11:33:44 2026 checking every 10000 dimensions, checkpointing every 810000 dimensions
  211. Tue Jul 7 07:23:06 2026 lanczos halted after 63537 iterations (dim = 16217174)
  212. Tue Jul 7 07:25:34 2026 recovered 31 nontrivial dependencies
  213. Tue Jul 7 07:25:39 2026 BLanczosTime: 71919
  214. Tue Jul 7 07:25:39 2026
  215. Tue Jul 7 07:25:39 2026 commencing square root phase
  216. Tue Jul 7 07:25:39 2026 handling dependencies 1 to 64
  217. Tue Jul 7 07:25:39 2026 reading relations for dependency 1
  218. Tue Jul 7 07:25:43 2026 read 8107224 cycles
  219. Tue Jul 7 07:26:24 2026 cycles contain 30370306 unique relations
  220. Tue Jul 7 07:33:40 2026 read 30370306 relations
  221. Tue Jul 7 07:39:37 2026 multiplying 30370306 relations
  222. Tue Jul 7 07:46:54 2026 multiply complete, coefficients have about 1807.06 million bits
  223. Tue Jul 7 07:47:04 2026 initial square root is modulo 127640323
  224. Tue Jul 7 08:13:34 2026 GCD is N, no factor found
  225. Tue Jul 7 08:13:34 2026 reading relations for dependency 2
  226. Tue Jul 7 08:13:38 2026 read 8110384 cycles
  227. Tue Jul 7 08:14:16 2026 cycles contain 30379050 unique relations
  228. Tue Jul 7 08:21:32 2026 read 30379050 relations
  229. Tue Jul 7 08:27:01 2026 multiplying 30379050 relations
  230. Tue Jul 7 08:33:40 2026 multiply complete, coefficients have about 1807.57 million bits
  231. Tue Jul 7 08:33:49 2026 initial square root is modulo 128309911
  232. Tue Jul 7 09:00:34 2026 GCD is 1, no factor found
  233. Tue Jul 7 09:00:34 2026 reading relations for dependency 3
  234. Tue Jul 7 09:00:38 2026 read 8109003 cycles
  235. Tue Jul 7 09:01:23 2026 cycles contain 30372826 unique relations
  236. Tue Jul 7 09:08:45 2026 read 30372826 relations
  237. Tue Jul 7 09:15:17 2026 multiplying 30372826 relations
  238. Tue Jul 7 09:22:03 2026 multiply complete, coefficients have about 1807.20 million bits
  239. Tue Jul 7 09:22:12 2026 initial square root is modulo 127822693
  240. Tue Jul 7 09:48:55 2026 sqrtTime: 8596
  241. Tue Jul 7 09:48:55 2026 p63 factor: 809387090250852545182214206565264902234164995271835626248367587
  242. Tue Jul 7 09:48:55 2026 p117 factor: 317957147723638279158610819548417640861999996523943761036009627167441863351406573800089742386286703879879270693314391
  243. Tue Jul 7 09:48:55 2026 elapsed time 22:21:57
  244.  
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