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Dec 7th, 2025
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  1. Thu Dec 4 16:57:03 2025
  2. Thu Dec 4 16:57:03 2025
  3. Thu Dec 4 16:57:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Dec 4 16:57:03 2025 random seeds: 71c9f06d f9dee29d
  5. Thu Dec 4 16:57:03 2025 MPI process 0 of 1
  6. Thu Dec 4 16:57:03 2025 Using 32 OpenMP threads
  7. Thu Dec 4 16:57:03 2025 factoring 1657183877953404554625912045621473421532135066069544303280742889856349544809781027632678558428910417277749857494025571541212774944878744652808677539671477528560246767673386406109 (178 digits)
  8. Thu Dec 4 16:57:04 2025 searching for 15-digit factors
  9. Thu Dec 4 16:57:05 2025 commencing number field sieve (178-digit input)
  10. Thu Dec 4 16:57:05 2025 R0: -24360394733110124574424652385324317
  11. Thu Dec 4 16:57:05 2025 R1: 22065313911981019467909383
  12. Thu Dec 4 16:57:05 2025 A0: 2470224586751917464457120453682806097369424
  13. Thu Dec 4 16:57:05 2025 A1: 941363442661989871441571794303053994
  14. Thu Dec 4 16:57:05 2025 A2: -33391919567600358003858641169
  15. Thu Dec 4 16:57:05 2025 A3: -2162071068856874203111
  16. Thu Dec 4 16:57:05 2025 A4: 21374366467977
  17. Thu Dec 4 16:57:05 2025 A5: 561960
  18. Thu Dec 4 16:57:05 2025 skew 35212195.88, size 2.468e-17, alpha -6.991, combined = 1.250e-13 rroots = 5
  19. Thu Dec 4 16:57:05 2025
  20. Thu Dec 4 16:57:05 2025 commencing relation filtering
  21. Thu Dec 4 16:57:05 2025 setting target matrix density to 130.0
  22. Thu Dec 4 16:57:05 2025 estimated available RAM is 257736.5 MB
  23. Thu Dec 4 16:57:05 2025 commencing duplicate removal, pass 1
  24. Thu Dec 4 16:59:45 2025 error -15 reading relation 62809640
  25. Thu Dec 4 16:59:55 2025 error -1 reading relation 66801163
  26. Thu Dec 4 17:01:45 2025 error -1 reading relation 111426185
  27. Thu Dec 4 17:02:17 2025 error -1 reading relation 124519156
  28. Thu Dec 4 17:03:06 2025 error -1 reading relation 144782613
  29. Thu Dec 4 17:04:03 2025 error -1 reading relation 167306971
  30. Thu Dec 4 17:05:31 2025 error -1 reading relation 202882693
  31. Thu Dec 4 17:06:02 2025 error -1 reading relation 215389447
  32. Thu Dec 4 17:06:12 2025 error -1 reading relation 219599528
  33. Thu Dec 4 17:06:33 2025 error -1 reading relation 227785222
  34. Thu Dec 4 17:07:33 2025 error -1 reading relation 252074294
  35. Thu Dec 4 17:07:50 2025 error -1 reading relation 258747808
  36. Thu Dec 4 17:07:53 2025 error -1 reading relation 260103009
  37. Thu Dec 4 17:07:54 2025 error -1 reading relation 260399826
  38. Thu Dec 4 17:08:11 2025 error -1 reading relation 267776478
  39. Thu Dec 4 17:08:14 2025 error -1 reading relation 268736022
  40. Thu Dec 4 17:08:49 2025 error -1 reading relation 283092745
  41. Thu Dec 4 17:09:04 2025 error -1 reading relation 289459287
  42. Thu Dec 4 17:09:13 2025 error -1 reading relation 293160648
  43. Thu Dec 4 17:09:31 2025 error -1 reading relation 300103416
  44. Thu Dec 4 17:09:31 2025 error -1 reading relation 300337208
  45. Thu Dec 4 17:09:36 2025 error -1 reading relation 302090062
  46. Thu Dec 4 17:09:37 2025 error -1 reading relation 302368474
  47. Thu Dec 4 17:09:52 2025 error -1 reading relation 308281491
  48. Thu Dec 4 17:09:54 2025 error -1 reading relation 309326740
  49. Thu Dec 4 17:09:55 2025 error -1 reading relation 309620115
  50. Thu Dec 4 17:10:10 2025 error -1 reading relation 315524472
  51. Thu Dec 4 17:10:39 2025 error -1 reading relation 327351427
  52. Thu Dec 4 17:11:12 2025 error -1 reading relation 340968161
  53. Thu Dec 4 17:11:17 2025 error -1 reading relation 342961922
  54. Thu Dec 4 17:11:33 2025 error -1 reading relation 348654198
  55. Thu Dec 4 17:12:46 2025 skipped 1 relations with composite factors
  56. Thu Dec 4 17:12:46 2025 skipped 241 malformed relations
  57. Thu Dec 4 17:12:46 2025 found 79129835 hash collisions in 378101303 relations
  58. Thu Dec 4 17:13:20 2025 added 121838 free relations
  59. Thu Dec 4 17:13:20 2025 commencing duplicate removal, pass 2
  60. Thu Dec 4 17:23:28 2025 found 82708971 duplicates and 295514170 unique relations
  61. Thu Dec 4 17:23:28 2025 memory use: 2643.0 MB
  62. Thu Dec 4 17:23:28 2025 reading ideals above 720000
  63. Thu Dec 4 17:23:28 2025 commencing singleton removal, initial pass
  64. Thu Dec 4 17:55:11 2025 memory use: 6024.0 MB
  65. Thu Dec 4 17:55:11 2025 reading all ideals from disk
  66. Thu Dec 4 17:55:19 2025 memory use: 14196.2 MB
  67. Thu Dec 4 17:56:16 2025 keeping 298707304 ideals with weight <= 200, target excess is 1523520
  68. Thu Dec 4 17:57:30 2025 commencing in-memory singleton removal
  69. Thu Dec 4 17:57:35 2025 begin with 295514170 relations and 298707304 unique ideals
  70. Thu Dec 4 17:58:06 2025 reduce to 148615550 relations and 132421979 ideals in 18 passes
  71. Thu Dec 4 17:58:06 2025 max relations containing the same ideal: 133
  72. Thu Dec 4 17:59:59 2025 removing 14923979 relations and 12923979 ideals in 2000000 cliques
  73. Thu Dec 4 18:00:07 2025 commencing in-memory singleton removal
  74. Thu Dec 4 18:00:11 2025 begin with 133691571 relations and 132421979 unique ideals
  75. Thu Dec 4 18:00:25 2025 reduce to 132462537 relations and 118246944 ideals in 11 passes
  76. Thu Dec 4 18:00:25 2025 max relations containing the same ideal: 123
  77. Thu Dec 4 18:01:55 2025 removing 11288998 relations and 9288998 ideals in 2000000 cliques
  78. Thu Dec 4 18:02:02 2025 commencing in-memory singleton removal
  79. Thu Dec 4 18:02:05 2025 begin with 121173539 relations and 118246944 unique ideals
  80. Thu Dec 4 18:02:16 2025 reduce to 120357987 relations and 108129642 ideals in 9 passes
  81. Thu Dec 4 18:02:16 2025 max relations containing the same ideal: 116
  82. Thu Dec 4 18:03:28 2025 removing 10196243 relations and 8196243 ideals in 2000000 cliques
  83. Thu Dec 4 18:03:35 2025 commencing in-memory singleton removal
  84. Thu Dec 4 18:03:37 2025 begin with 110161744 relations and 108129642 unique ideals
  85. Thu Dec 4 18:03:46 2025 reduce to 109419190 relations and 99178870 ideals in 9 passes
  86. Thu Dec 4 18:03:46 2025 max relations containing the same ideal: 112
  87. Thu Dec 4 18:04:48 2025 removing 9662655 relations and 7662655 ideals in 2000000 cliques
  88. Thu Dec 4 18:04:54 2025 commencing in-memory singleton removal
  89. Thu Dec 4 18:04:56 2025 begin with 99756535 relations and 99178870 unique ideals
  90. Thu Dec 4 18:05:06 2025 reduce to 99015304 relations and 90762488 ideals in 11 passes
  91. Thu Dec 4 18:05:06 2025 max relations containing the same ideal: 103
  92. Thu Dec 4 18:06:14 2025 removing 9369304 relations and 7369304 ideals in 2000000 cliques
  93. Thu Dec 4 18:06:21 2025 commencing in-memory singleton removal
  94. Thu Dec 4 18:06:22 2025 begin with 89646000 relations and 90762488 unique ideals
  95. Thu Dec 4 18:06:29 2025 reduce to 88869184 relations and 82602120 ideals in 9 passes
  96. Thu Dec 4 18:06:29 2025 max relations containing the same ideal: 96
  97. Thu Dec 4 18:07:24 2025 removing 9237594 relations and 7237594 ideals in 2000000 cliques
  98. Thu Dec 4 18:07:30 2025 commencing in-memory singleton removal
  99. Thu Dec 4 18:07:32 2025 begin with 79631590 relations and 82602120 unique ideals
  100. Thu Dec 4 18:07:39 2025 reduce to 78782554 relations and 74498393 ideals in 10 passes
  101. Thu Dec 4 18:07:39 2025 max relations containing the same ideal: 88
  102. Thu Dec 4 18:08:34 2025 removing 9225251 relations and 7225251 ideals in 2000000 cliques
  103. Thu Dec 4 18:08:39 2025 commencing in-memory singleton removal
  104. Thu Dec 4 18:08:40 2025 begin with 69557303 relations and 74498393 unique ideals
  105. Thu Dec 4 18:08:46 2025 reduce to 68580729 relations and 66274361 ideals in 10 passes
  106. Thu Dec 4 18:08:46 2025 max relations containing the same ideal: 81
  107. Thu Dec 4 18:09:31 2025 removing 3365140 relations and 2826056 ideals in 539084 cliques
  108. Thu Dec 4 18:09:35 2025 commencing in-memory singleton removal
  109. Thu Dec 4 18:09:36 2025 begin with 65215589 relations and 66274361 unique ideals
  110. Thu Dec 4 18:09:41 2025 reduce to 65082607 relations and 63314382 ideals in 8 passes
  111. Thu Dec 4 18:09:41 2025 max relations containing the same ideal: 79
  112. Thu Dec 4 18:10:32 2025 relations with 0 large ideals: 5238
  113. Thu Dec 4 18:10:32 2025 relations with 1 large ideals: 39974
  114. Thu Dec 4 18:10:32 2025 relations with 2 large ideals: 507009
  115. Thu Dec 4 18:10:32 2025 relations with 3 large ideals: 2887589
  116. Thu Dec 4 18:10:32 2025 relations with 4 large ideals: 8942735
  117. Thu Dec 4 18:10:32 2025 relations with 5 large ideals: 16356617
  118. Thu Dec 4 18:10:32 2025 relations with 6 large ideals: 18217454
  119. Thu Dec 4 18:10:32 2025 relations with 7+ large ideals: 18125991
  120. Thu Dec 4 18:10:32 2025 commencing 2-way merge
  121. Thu Dec 4 18:11:30 2025 reduce to 38982871 relation sets and 37214646 unique ideals
  122. Thu Dec 4 18:11:30 2025 commencing full merge
  123. Thu Dec 4 18:28:55 2025 memory use: 3957.4 MB
  124. Thu Dec 4 18:28:59 2025 found 16285940 cycles, need 16254846
  125. Thu Dec 4 18:29:05 2025 weight of 16254846 cycles is about 2113513334 (130.02/cycle)
  126. Thu Dec 4 18:29:05 2025 distribution of cycle lengths:
  127. Thu Dec 4 18:29:05 2025 1 relations: 1137576
  128. Thu Dec 4 18:29:05 2025 2 relations: 1051989
  129. Thu Dec 4 18:29:05 2025 3 relations: 1114219
  130. Thu Dec 4 18:29:05 2025 4 relations: 1104388
  131. Thu Dec 4 18:29:05 2025 5 relations: 1108999
  132. Thu Dec 4 18:29:05 2025 6 relations: 1068622
  133. Thu Dec 4 18:29:05 2025 7 relations: 1023965
  134. Thu Dec 4 18:29:05 2025 8 relations: 974809
  135. Thu Dec 4 18:29:05 2025 9 relations: 922466
  136. Thu Dec 4 18:29:05 2025 10+ relations: 6747813
  137. Thu Dec 4 18:29:05 2025 heaviest cycle: 28 relations
  138. Thu Dec 4 18:29:11 2025 commencing cycle optimization
  139. Thu Dec 4 18:30:01 2025 start with 148113610 relations
  140. Thu Dec 4 18:37:55 2025 pruned 5467468 relations
  141. Thu Dec 4 18:37:55 2025 memory use: 4149.5 MB
  142. Thu Dec 4 18:37:55 2025 distribution of cycle lengths:
  143. Thu Dec 4 18:37:55 2025 1 relations: 1137576
  144. Thu Dec 4 18:37:55 2025 2 relations: 1080692
  145. Thu Dec 4 18:37:55 2025 3 relations: 1158101
  146. Thu Dec 4 18:37:55 2025 4 relations: 1144390
  147. Thu Dec 4 18:37:55 2025 5 relations: 1153485
  148. Thu Dec 4 18:37:55 2025 6 relations: 1106824
  149. Thu Dec 4 18:37:55 2025 7 relations: 1062623
  150. Thu Dec 4 18:37:55 2025 8 relations: 1007663
  151. Thu Dec 4 18:37:55 2025 9 relations: 950108
  152. Thu Dec 4 18:37:55 2025 10+ relations: 6453384
  153. Thu Dec 4 18:37:55 2025 heaviest cycle: 28 relations
  154. Thu Dec 4 18:38:26 2025 RelProcTime: 6081
  155. Thu Dec 4 18:38:32 2025
  156. Thu Dec 4 18:38:32 2025 commencing linear algebra
  157. Thu Dec 4 18:38:32 2025 using VBITS=256
  158. Thu Dec 4 18:38:32 2025 stopping after matrix build
  159. Thu Dec 4 18:38:32 2025 initialized process (0,0) of 1 x 1 grid
  160. Thu Dec 4 18:38:34 2025 read 16254846 cycles
  161. Thu Dec 4 18:39:22 2025 cycles contain 63770810 unique relations
  162. Thu Dec 4 18:46:55 2025 read 63770810 relations
  163. Thu Dec 4 18:47:05 2025 using 20 quadratic characters above 4294917295
  164. Thu Dec 4 18:47:15 2025 building initial matrix
  165. Thu Dec 4 19:07:43 2025 memory use: 8715.5 MB
  166. Thu Dec 4 19:08:03 2025 read 16254846 cycles
  167. Thu Dec 4 19:08:07 2025 matrix is 16254669 x 16254846 (8285.1 MB) with weight 2495078001 (153.50/col)
  168. Thu Dec 4 19:08:07 2025 sparse part has weight 1976824624 (121.61/col)
  169. Thu Dec 4 19:15:07 2025 filtering completed in 2 passes
  170. Thu Dec 4 19:15:14 2025 matrix is 16253719 x 16253895 (8285.0 MB) with weight 2495032203 (153.50/col)
  171. Thu Dec 4 19:15:14 2025 sparse part has weight 1976811324 (121.62/col)
  172. Thu Dec 4 19:17:18 2025 BLanczosTime: 2326
  173. Thu Dec 4 19:17:18 2025 elapsed time 02:20:15
  174. Thu Dec 4 19:17:37 2025
  175. Thu Dec 4 19:17:37 2025
  176. Thu Dec 4 19:17:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
  177. Thu Dec 4 19:17:37 2025 random seeds: 9888b2f0 d6a38bfe
  178. Thu Dec 4 19:17:37 2025 MPI process 0 of 1
  179. Thu Dec 4 19:17:37 2025 Using 64 OpenMP threads
  180. Thu Dec 4 19:17:37 2025 factoring 1657183877953404554625912045621473421532135066069544303280742889856349544809781027632678558428910417277749857494025571541212774944878744652808677539671477528560246767673386406109 (178 digits)
  181. Thu Dec 4 19:17:38 2025 searching for 15-digit factors
  182. Thu Dec 4 19:17:38 2025 commencing number field sieve (178-digit input)
  183. Thu Dec 4 19:17:38 2025 R0: -24360394733110124574424652385324317
  184. Thu Dec 4 19:17:38 2025 R1: 22065313911981019467909383
  185. Thu Dec 4 19:17:38 2025 A0: 2470224586751917464457120453682806097369424
  186. Thu Dec 4 19:17:38 2025 A1: 941363442661989871441571794303053994
  187. Thu Dec 4 19:17:38 2025 A2: -33391919567600358003858641169
  188. Thu Dec 4 19:17:38 2025 A3: -2162071068856874203111
  189. Thu Dec 4 19:17:38 2025 A4: 21374366467977
  190. Thu Dec 4 19:17:38 2025 A5: 561960
  191. Thu Dec 4 19:17:38 2025 skew 35212195.88, size 2.468e-17, alpha -6.991, combined = 1.250e-13 rroots = 5
  192. Thu Dec 4 19:17:38 2025
  193. Thu Dec 4 19:17:38 2025 commencing linear algebra
  194. Thu Dec 4 19:17:38 2025 using VBITS=256
  195. Thu Dec 4 19:17:38 2025 skipping matrix build
  196. Thu Dec 4 19:17:38 2025 initialized process (0,0) of 1 x 1 grid
  197. Thu Dec 4 19:17:51 2025 matrix starts at (0, 0)
  198. Thu Dec 4 19:18:01 2025 matrix is 16253719 x 16253895 (8285.0 MB) with weight 2495032203 (153.50/col)
  199. Thu Dec 4 19:18:01 2025 sparse part has weight 1976811324 (121.62/col)
  200. Thu Dec 4 19:18:01 2025 saving the first 240 matrix rows for later
  201. Thu Dec 4 19:18:12 2025 matrix includes 256 packed rows
  202. Thu Dec 4 19:18:21 2025 matrix is 16253479 x 16253895 (7449.2 MB) with weight 1809324577 (111.32/col)
  203. Thu Dec 4 19:18:21 2025 sparse part has weight 1692691507 (104.14/col)
  204. Thu Dec 4 19:18:21 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  205. Thu Dec 4 19:19:06 2025 commencing Lanczos iteration (64 threads)
  206. Thu Dec 4 19:19:06 2025 memory use: 10534.3 MB
  207. Thu Dec 4 19:21:28 2025 linear algebra at 0.2%, ETA 20h26m
  208. Thu Dec 4 19:24:53 2025 checking every 10000 dimensions, checkpointing every 810000 dimensions
  209. Fri Dec 5 15:39:39 2025 lanczos halted after 63683 iterations (dim = 16253479)
  210. Fri Dec 5 15:40:30 2025 recovered 30 nontrivial dependencies
  211. Fri Dec 5 15:40:32 2025 BLanczosTime: 73374
  212. Fri Dec 5 15:40:32 2025
  213. Fri Dec 5 15:40:32 2025 commencing square root phase
  214. Fri Dec 5 15:40:32 2025 handling dependencies 1 to 64
  215. Fri Dec 5 15:40:32 2025 reading relations for dependency 1
  216. Fri Dec 5 15:40:33 2025 read 8128217 cycles
  217. Fri Dec 5 15:40:48 2025 cycles contain 31889110 unique relations
  218. Fri Dec 5 15:47:17 2025 read 31889110 relations
  219. Fri Dec 5 15:50:49 2025 multiplying 31889110 relations
  220. Fri Dec 5 15:56:20 2025 multiply complete, coefficients have about 1834.02 million bits
  221. Fri Dec 5 15:56:27 2025 initial square root is modulo 168618623
  222. Fri Dec 5 16:15:51 2025 sqrtTime: 2119
  223. Fri Dec 5 16:15:51 2025 p82 factor: 1051740833967683132743078942473601076411706878777621134094395120849025027726280187
  224. Fri Dec 5 16:15:51 2025 p97 factor: 1575658018051550602472459797907875013537585529215344083653140006592817199904302488651910085510407
  225. Fri Dec 5 16:15:51 2025 elapsed time 20:58:14
  226.  
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