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Jul 18th, 2025
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  1. Tue Jul 8 10:36:12 2025
  2. Tue Jul 8 10:36:12 2025
  3. Tue Jul 8 10:36:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jul 8 10:36:12 2025 random seeds: 3c5e17f6 17bd84a8
  5. Tue Jul 8 10:36:12 2025 MPI process 0 of 1
  6. Tue Jul 8 10:36:12 2025 Using 32 OpenMP threads
  7. Tue Jul 8 10:36:12 2025 factoring 501537888511973550698213544767999359021685668299903372486092175413447780000664486138034607016699810515655956245568343542086791825214363552255615554696552047913250802267 (168 digits)
  8. Tue Jul 8 10:36:13 2025 searching for 15-digit factors
  9. Tue Jul 8 10:36:13 2025 commencing number field sieve (168-digit input)
  10. Tue Jul 8 10:36:13 2025 reversing signs of algebraic polynomial
  11. Tue Jul 8 10:36:13 2025 R0: -242176286874467432015438976824370
  12. Tue Jul 8 10:36:13 2025 R1: 21126125698204510199412221
  13. Tue Jul 8 10:36:13 2025 A0: -10905203852214920285090001951836169120512
  14. Tue Jul 8 10:36:13 2025 A1: -3262321379504668568015937631021256
  15. Tue Jul 8 10:36:13 2025 A2: -2664931232881712864401719151
  16. Tue Jul 8 10:36:13 2025 A3: 252339154745311111709
  17. Tue Jul 8 10:36:13 2025 A4: 25493495713656
  18. Tue Jul 8 10:36:13 2025 A5: 277200
  19. Tue Jul 8 10:36:13 2025 skew 10018468.36, size 2.638e-16, alpha -8.091, combined = 5.207e-13 rroots = 3
  20. Tue Jul 8 10:36:13 2025
  21. Tue Jul 8 10:36:13 2025 commencing relation filtering
  22. Tue Jul 8 10:36:13 2025 setting target matrix density to 120.0
  23. Tue Jul 8 10:36:13 2025 reversing signs of algebraic polynomial
  24. Tue Jul 8 10:36:13 2025 estimated available RAM is 257736.5 MB
  25. Tue Jul 8 10:36:13 2025 commencing duplicate removal, pass 1
  26. Tue Jul 8 10:38:24 2025 error -1 reading relation 57945713
  27. Tue Jul 8 10:40:57 2025 error -1 reading relation 124244431
  28. Tue Jul 8 10:41:32 2025 error -1 reading relation 138890709
  29. Tue Jul 8 10:41:35 2025 error -1 reading relation 140112053
  30. Tue Jul 8 10:41:41 2025 error -1 reading relation 142460848
  31. Tue Jul 8 10:41:42 2025 error -1 reading relation 142927019
  32. Tue Jul 8 10:42:18 2025 error -1 reading relation 158002220
  33. Tue Jul 8 10:42:33 2025 error -1 reading relation 164602822
  34. Tue Jul 8 10:42:34 2025 error -1 reading relation 165358455
  35. Tue Jul 8 10:42:59 2025 error -1 reading relation 176445171
  36. Tue Jul 8 10:43:01 2025 error -1 reading relation 177404566
  37. Tue Jul 8 10:43:30 2025 error -15 reading relation 188899149
  38. Tue Jul 8 10:43:30 2025 error -15 reading relation 188905918
  39. Tue Jul 8 10:44:06 2025 error -1 reading relation 204045952
  40. Tue Jul 8 10:46:01 2025 error -1 reading relation 252276425
  41. Tue Jul 8 10:46:06 2025 error -1 reading relation 254668344
  42. Tue Jul 8 10:46:33 2025 skipped 2 relations with composite factors
  43. Tue Jul 8 10:46:33 2025 skipped 112 malformed relations
  44. Tue Jul 8 10:46:33 2025 found 49835999 hash collisions in 266204672 relations
  45. Tue Jul 8 10:47:06 2025 commencing duplicate removal, pass 2
  46. Tue Jul 8 10:54:08 2025 found 52186847 duplicates and 214017825 unique relations
  47. Tue Jul 8 10:54:08 2025 memory use: 1705.5 MB
  48. Tue Jul 8 10:54:08 2025 reading ideals above 720000
  49. Tue Jul 8 10:54:08 2025 commencing singleton removal, initial pass
  50. Tue Jul 8 11:10:35 2025 memory use: 6024.0 MB
  51. Tue Jul 8 11:10:36 2025 reading all ideals from disk
  52. Tue Jul 8 11:10:40 2025 memory use: 9858.9 MB
  53. Tue Jul 8 11:11:04 2025 keeping 219521028 ideals with weight <= 200, target excess is 1045183
  54. Tue Jul 8 11:11:35 2025 commencing in-memory singleton removal
  55. Tue Jul 8 11:11:40 2025 begin with 214017825 relations and 219521028 unique ideals
  56. Tue Jul 8 11:11:57 2025 reduce to 100344125 relations and 89660165 ideals in 18 passes
  57. Tue Jul 8 11:11:57 2025 max relations containing the same ideal: 127
  58. Tue Jul 8 11:12:40 2025 removing 8504350 relations and 7504350 ideals in 1000000 cliques
  59. Tue Jul 8 11:12:44 2025 commencing in-memory singleton removal
  60. Tue Jul 8 11:12:46 2025 begin with 91839775 relations and 89660165 unique ideals
  61. Tue Jul 8 11:12:53 2025 reduce to 91248630 relations and 81556723 ideals in 11 passes
  62. Tue Jul 8 11:12:53 2025 max relations containing the same ideal: 119
  63. Tue Jul 8 11:13:33 2025 removing 6363884 relations and 5363884 ideals in 1000000 cliques
  64. Tue Jul 8 11:13:36 2025 commencing in-memory singleton removal
  65. Tue Jul 8 11:13:38 2025 begin with 84884746 relations and 81556723 unique ideals
  66. Tue Jul 8 11:13:44 2025 reduce to 84506397 relations and 75809901 ideals in 9 passes
  67. Tue Jul 8 11:13:44 2025 max relations containing the same ideal: 112
  68. Tue Jul 8 11:14:21 2025 removing 5697332 relations and 4697332 ideals in 1000000 cliques
  69. Tue Jul 8 11:14:24 2025 commencing in-memory singleton removal
  70. Tue Jul 8 11:14:26 2025 begin with 78809065 relations and 75809901 unique ideals
  71. Tue Jul 8 11:14:31 2025 reduce to 78476114 relations and 70775652 ideals in 9 passes
  72. Tue Jul 8 11:14:31 2025 max relations containing the same ideal: 106
  73. Tue Jul 8 11:15:02 2025 removing 5359006 relations and 4359006 ideals in 1000000 cliques
  74. Tue Jul 8 11:15:04 2025 commencing in-memory singleton removal
  75. Tue Jul 8 11:15:06 2025 begin with 73117108 relations and 70775652 unique ideals
  76. Tue Jul 8 11:15:10 2025 reduce to 72802033 relations and 66097585 ideals in 8 passes
  77. Tue Jul 8 11:15:10 2025 max relations containing the same ideal: 102
  78. Tue Jul 8 11:15:40 2025 removing 5153854 relations and 4153854 ideals in 1000000 cliques
  79. Tue Jul 8 11:15:42 2025 commencing in-memory singleton removal
  80. Tue Jul 8 11:15:44 2025 begin with 67648179 relations and 66097585 unique ideals
  81. Tue Jul 8 11:15:48 2025 reduce to 67331282 relations and 61622839 ideals in 9 passes
  82. Tue Jul 8 11:15:48 2025 max relations containing the same ideal: 97
  83. Tue Jul 8 11:16:16 2025 removing 5028955 relations and 4028955 ideals in 1000000 cliques
  84. Tue Jul 8 11:16:18 2025 commencing in-memory singleton removal
  85. Tue Jul 8 11:16:19 2025 begin with 62302327 relations and 61622839 unique ideals
  86. Tue Jul 8 11:16:23 2025 reduce to 61975464 relations and 57262592 ideals in 8 passes
  87. Tue Jul 8 11:16:23 2025 max relations containing the same ideal: 90
  88. Tue Jul 8 11:16:48 2025 removing 4950982 relations and 3950982 ideals in 1000000 cliques
  89. Tue Jul 8 11:16:50 2025 commencing in-memory singleton removal
  90. Tue Jul 8 11:16:51 2025 begin with 57024482 relations and 57262592 unique ideals
  91. Tue Jul 8 11:16:54 2025 reduce to 56678774 relations and 52960927 ideals in 9 passes
  92. Tue Jul 8 11:16:54 2025 max relations containing the same ideal: 84
  93. Tue Jul 8 11:17:18 2025 removing 4921669 relations and 3921669 ideals in 1000000 cliques
  94. Tue Jul 8 11:17:20 2025 commencing in-memory singleton removal
  95. Tue Jul 8 11:17:21 2025 begin with 51757105 relations and 52960927 unique ideals
  96. Tue Jul 8 11:17:24 2025 reduce to 51383067 relations and 48659367 ideals in 9 passes
  97. Tue Jul 8 11:17:24 2025 max relations containing the same ideal: 81
  98. Tue Jul 8 11:17:45 2025 removing 4924293 relations and 3924293 ideals in 1000000 cliques
  99. Tue Jul 8 11:17:47 2025 commencing in-memory singleton removal
  100. Tue Jul 8 11:17:48 2025 begin with 46458774 relations and 48659367 unique ideals
  101. Tue Jul 8 11:17:51 2025 reduce to 46036538 relations and 44305573 ideals in 10 passes
  102. Tue Jul 8 11:17:51 2025 max relations containing the same ideal: 74
  103. Tue Jul 8 11:18:10 2025 removing 2970081 relations and 2451529 ideals in 518552 cliques
  104. Tue Jul 8 11:18:11 2025 commencing in-memory singleton removal
  105. Tue Jul 8 11:18:12 2025 begin with 43066457 relations and 44305573 unique ideals
  106. Tue Jul 8 11:18:15 2025 reduce to 42906237 relations and 41692247 ideals in 9 passes
  107. Tue Jul 8 11:18:15 2025 max relations containing the same ideal: 73
  108. Tue Jul 8 11:18:37 2025 relations with 0 large ideals: 3789
  109. Tue Jul 8 11:18:37 2025 relations with 1 large ideals: 28846
  110. Tue Jul 8 11:18:37 2025 relations with 2 large ideals: 381936
  111. Tue Jul 8 11:18:37 2025 relations with 3 large ideals: 2142958
  112. Tue Jul 8 11:18:37 2025 relations with 4 large ideals: 6426166
  113. Tue Jul 8 11:18:37 2025 relations with 5 large ideals: 11224299
  114. Tue Jul 8 11:18:37 2025 relations with 6 large ideals: 11844225
  115. Tue Jul 8 11:18:37 2025 relations with 7+ large ideals: 10854018
  116. Tue Jul 8 11:18:37 2025 commencing 2-way merge
  117. Tue Jul 8 11:19:04 2025 reduce to 25303830 relation sets and 24089840 unique ideals
  118. Tue Jul 8 11:19:04 2025 commencing full merge
  119. Tue Jul 8 11:26:24 2025 memory use: 2784.8 MB
  120. Tue Jul 8 11:26:26 2025 found 10820757 cycles, need 10798040
  121. Tue Jul 8 11:26:29 2025 weight of 10798040 cycles is about 1296111142 (120.03/cycle)
  122. Tue Jul 8 11:26:29 2025 distribution of cycle lengths:
  123. Tue Jul 8 11:26:29 2025 1 relations: 913153
  124. Tue Jul 8 11:26:29 2025 2 relations: 778346
  125. Tue Jul 8 11:26:29 2025 3 relations: 766430
  126. Tue Jul 8 11:26:29 2025 4 relations: 734934
  127. Tue Jul 8 11:26:29 2025 5 relations: 720968
  128. Tue Jul 8 11:26:29 2025 6 relations: 689420
  129. Tue Jul 8 11:26:29 2025 7 relations: 654628
  130. Tue Jul 8 11:26:29 2025 8 relations: 622436
  131. Tue Jul 8 11:26:29 2025 9 relations: 590811
  132. Tue Jul 8 11:26:29 2025 10+ relations: 4326914
  133. Tue Jul 8 11:26:29 2025 heaviest cycle: 28 relations
  134. Tue Jul 8 11:26:32 2025 commencing cycle optimization
  135. Tue Jul 8 11:26:51 2025 start with 95695249 relations
  136. Tue Jul 8 11:29:54 2025 pruned 3425056 relations
  137. Tue Jul 8 11:29:55 2025 memory use: 2707.9 MB
  138. Tue Jul 8 11:29:55 2025 distribution of cycle lengths:
  139. Tue Jul 8 11:29:55 2025 1 relations: 913153
  140. Tue Jul 8 11:29:55 2025 2 relations: 797833
  141. Tue Jul 8 11:29:55 2025 3 relations: 794688
  142. Tue Jul 8 11:29:55 2025 4 relations: 759521
  143. Tue Jul 8 11:29:55 2025 5 relations: 747023
  144. Tue Jul 8 11:29:55 2025 6 relations: 712111
  145. Tue Jul 8 11:29:55 2025 7 relations: 678137
  146. Tue Jul 8 11:29:55 2025 8 relations: 642459
  147. Tue Jul 8 11:29:55 2025 9 relations: 607610
  148. Tue Jul 8 11:29:55 2025 10+ relations: 4145505
  149. Tue Jul 8 11:29:55 2025 heaviest cycle: 28 relations
  150. Tue Jul 8 11:30:10 2025 RelProcTime: 3237
  151. Tue Jul 8 11:30:10 2025
  152. Tue Jul 8 11:30:10 2025 commencing linear algebra
  153. Tue Jul 8 11:30:10 2025 using VBITS=256
  154. Tue Jul 8 11:30:10 2025 stopping after matrix build
  155. Tue Jul 8 11:30:10 2025 initialized process (0,0) of 1 x 1 grid
  156. Tue Jul 8 11:30:10 2025 reversing signs of algebraic polynomial
  157. Tue Jul 8 11:30:11 2025 read 10798040 cycles
  158. Tue Jul 8 11:30:29 2025 cycles contain 41961140 unique relations
  159. Tue Jul 8 11:34:43 2025 read 41961140 relations
  160. Tue Jul 8 11:34:48 2025 using 20 quadratic characters above 4294917295
  161. Tue Jul 8 11:34:55 2025 building initial matrix
  162. Tue Jul 8 11:44:01 2025 memory use: 5692.4 MB
  163. Tue Jul 8 11:44:12 2025 read 10798040 cycles
  164. Tue Jul 8 11:44:15 2025 matrix is 10797863 x 10798040 (5119.8 MB) with weight 1570479085 (145.44/col)
  165. Tue Jul 8 11:44:15 2025 sparse part has weight 1212538607 (112.29/col)
  166. Tue Jul 8 11:47:20 2025 filtering completed in 2 passes
  167. Tue Jul 8 11:47:23 2025 matrix is 10797134 x 10797308 (5119.7 MB) with weight 1570442561 (145.45/col)
  168. Tue Jul 8 11:47:23 2025 sparse part has weight 1212528499 (112.30/col)
  169. Tue Jul 8 11:48:27 2025 BLanczosTime: 1097
  170. Tue Jul 8 11:48:27 2025 elapsed time 01:12:15
  171. Tue Jul 8 18:56:02 2025
  172. Tue Jul 8 18:56:02 2025
  173. Tue Jul 8 18:56:02 2025 Msieve v. 1.54 (SVN Unversioned directory)
  174. Tue Jul 8 18:56:02 2025 random seeds: b535f090 0095359b
  175. Tue Jul 8 18:56:02 2025 MPI process 0 of 1
  176. Tue Jul 8 18:56:02 2025 Using 64 OpenMP threads
  177. Tue Jul 8 18:56:02 2025 factoring 501537888511973550698213544767999359021685668299903372486092175413447780000664486138034607016699810515655956245568343542086791825214363552255615554696552047913250802267 (168 digits)
  178. Tue Jul 8 18:56:02 2025 searching for 15-digit factors
  179. Tue Jul 8 18:56:02 2025 commencing number field sieve (168-digit input)
  180. Tue Jul 8 18:56:02 2025 reversing signs of algebraic polynomial
  181. Tue Jul 8 18:56:02 2025 R0: -242176286874467432015438976824370
  182. Tue Jul 8 18:56:02 2025 R1: 21126125698204510199412221
  183. Tue Jul 8 18:56:02 2025 A0: -10905203852214920285090001951836169120512
  184. Tue Jul 8 18:56:02 2025 A1: -3262321379504668568015937631021256
  185. Tue Jul 8 18:56:02 2025 A2: -2664931232881712864401719151
  186. Tue Jul 8 18:56:02 2025 A3: 252339154745311111709
  187. Tue Jul 8 18:56:02 2025 A4: 25493495713656
  188. Tue Jul 8 18:56:02 2025 A5: 277200
  189. Tue Jul 8 18:56:02 2025 skew 10018468.36, size 2.638e-16, alpha -8.091, combined = 5.207e-13 rroots = 3
  190. Tue Jul 8 18:56:02 2025
  191. Tue Jul 8 18:56:02 2025 commencing linear algebra
  192. Tue Jul 8 18:56:02 2025 using VBITS=256
  193. Tue Jul 8 18:56:02 2025 skipping matrix build
  194. Tue Jul 8 18:56:02 2025 initialized process (0,0) of 1 x 1 grid
  195. Tue Jul 8 18:56:07 2025 matrix starts at (0, 0)
  196. Tue Jul 8 18:56:09 2025 matrix is 10797134 x 10797308 (5119.7 MB) with weight 1570442561 (145.45/col)
  197. Tue Jul 8 18:56:09 2025 sparse part has weight 1212528499 (112.30/col)
  198. Tue Jul 8 18:56:09 2025 saving the first 240 matrix rows for later
  199. Tue Jul 8 18:56:11 2025 matrix includes 256 packed rows
  200. Tue Jul 8 18:56:15 2025 matrix is 10796894 x 10797308 (4627.2 MB) with weight 1111732615 (102.96/col)
  201. Tue Jul 8 18:56:15 2025 sparse part has weight 1040240808 (96.34/col)
  202. Tue Jul 8 18:56:15 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  203. Tue Jul 8 18:56:38 2025 commencing Lanczos iteration (64 threads)
  204. Tue Jul 8 18:56:38 2025 memory use: 6681.7 MB
  205. Tue Jul 8 18:58:10 2025 linear algebra at 0.3%, ETA 8h52m
  206. Tue Jul 8 19:00:26 2025 checking every 20000 dimensions, checkpointing every 1220000 dimensions
  207. Wed Jul 9 03:45:18 2025 lanczos halted after 42303 iterations (dim = 10796893)
  208. Wed Jul 9 03:46:03 2025 recovered 30 nontrivial dependencies
  209. Wed Jul 9 03:46:04 2025 BLanczosTime: 31802
  210. Wed Jul 9 03:46:04 2025
  211. Wed Jul 9 03:46:04 2025 commencing square root phase
  212. Wed Jul 9 03:46:04 2025 reversing signs of algebraic polynomial
  213. Wed Jul 9 03:46:04 2025 handling dependencies 1 to 64
  214. Wed Jul 9 03:46:04 2025 reading relations for dependency 1
  215. Wed Jul 9 03:46:05 2025 read 5400427 cycles
  216. Wed Jul 9 03:46:15 2025 cycles contain 20988924 unique relations
  217. Wed Jul 9 03:50:33 2025 read 20988924 relations
  218. Wed Jul 9 03:52:27 2025 multiplying 20988924 relations
  219. Wed Jul 9 03:55:27 2025 multiply complete, coefficients have about 1180.78 million bits
  220. Wed Jul 9 03:55:31 2025 initial square root is modulo 198043
  221. Wed Jul 9 04:06:11 2025 sqrtTime: 1207
  222. Wed Jul 9 04:06:11 2025 p78 factor: 274517360367470762359283858663316553555722722771914977511630425665345038697071
  223. Wed Jul 9 04:06:11 2025 p91 factor: 1826980588187980538429932087511072476325939915809060956250514013377982993182582882828401877
  224. Wed Jul 9 04:06:11 2025 elapsed time 09:10:09
  225.  
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