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Oct 9th, 2025
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  1. Thu Oct 9 12:55:30 2025
  2. Thu Oct 9 12:55:30 2025
  3. Thu Oct 9 12:55:30 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 9 12:55:30 2025 random seeds: 442a4815 93ce2c8b
  5. Thu Oct 9 12:55:30 2025 MPI process 0 of 1
  6. Thu Oct 9 12:55:30 2025 Using 32 OpenMP threads
  7. Thu Oct 9 12:55:30 2025 factoring 2420385292667411658313750345703490270183724872262479951468681499368780517483180845174156638880714449956891695593827347249819770297994495111450536673575065445033 (160 digits)
  8. Thu Oct 9 12:55:31 2025 searching for 15-digit factors
  9. Thu Oct 9 12:55:31 2025 commencing number field sieve (160-digit input)
  10. Thu Oct 9 12:55:31 2025 reversing signs of algebraic polynomial
  11. Thu Oct 9 12:55:31 2025 R0: -7977815730444213628267322738149
  12. Thu Oct 9 12:55:31 2025 R1: 4249121530463671979207
  13. Thu Oct 9 12:55:31 2025 A0: -75527625846326882014979774194734549900
  14. Thu Oct 9 12:55:31 2025 A1: 26480275307476271326530321880168
  15. Thu Oct 9 12:55:31 2025 A2: 94116696928169550808211829
  16. Thu Oct 9 12:55:31 2025 A3: 4831113731046068897
  17. Thu Oct 9 12:55:31 2025 A4: -7921831548954
  18. Thu Oct 9 12:55:31 2025 A5: 453600
  19. Thu Oct 9 12:55:31 2025 skew 3576441.52, size 1.939e-15, alpha -7.676, combined = 1.712e-12 rroots = 5
  20. Thu Oct 9 12:55:31 2025
  21. Thu Oct 9 12:55:31 2025 commencing relation filtering
  22. Thu Oct 9 12:55:31 2025 setting target matrix density to 130.0
  23. Thu Oct 9 12:55:31 2025 reversing signs of algebraic polynomial
  24. Thu Oct 9 12:55:31 2025 estimated available RAM is 257736.5 MB
  25. Thu Oct 9 12:55:31 2025 commencing duplicate removal, pass 1
  26. Thu Oct 9 12:56:49 2025 error -1 reading relation 34031829
  27. Thu Oct 9 12:56:57 2025 error -1 reading relation 37296600
  28. Thu Oct 9 12:56:58 2025 error -1 reading relation 37903897
  29. Thu Oct 9 12:56:59 2025 error -1 reading relation 38366340
  30. Thu Oct 9 12:57:00 2025 error -1 reading relation 38710082
  31. Thu Oct 9 12:57:06 2025 error -1 reading relation 41172078
  32. Thu Oct 9 12:58:04 2025 error -1 reading relation 66913446
  33. Thu Oct 9 12:58:22 2025 error -1 reading relation 74771286
  34. Thu Oct 9 12:59:07 2025 error -1 reading relation 94012058
  35. Thu Oct 9 12:59:26 2025 error -1 reading relation 102065974
  36. Thu Oct 9 12:59:57 2025 error -1 reading relation 115082553
  37. Thu Oct 9 12:59:58 2025 skipped 69 malformed relations
  38. Thu Oct 9 12:59:58 2025 found 18187854 hash collisions in 115441846 relations
  39. Thu Oct 9 13:00:36 2025 added 121988 free relations
  40. Thu Oct 9 13:00:36 2025 commencing duplicate removal, pass 2
  41. Thu Oct 9 13:04:14 2025 found 15997318 duplicates and 99566516 unique relations
  42. Thu Oct 9 13:04:14 2025 memory use: 660.8 MB
  43. Thu Oct 9 13:04:14 2025 reading ideals above 720000
  44. Thu Oct 9 13:04:14 2025 commencing singleton removal, initial pass
  45. Thu Oct 9 13:13:05 2025 memory use: 2756.0 MB
  46. Thu Oct 9 13:13:05 2025 reading all ideals from disk
  47. Thu Oct 9 13:13:08 2025 memory use: 4465.4 MB
  48. Thu Oct 9 13:13:28 2025 keeping 89576056 ideals with weight <= 200, target excess is 515851
  49. Thu Oct 9 13:13:52 2025 commencing in-memory singleton removal
  50. Thu Oct 9 13:13:54 2025 begin with 99566516 relations and 89576056 unique ideals
  51. Thu Oct 9 13:14:04 2025 reduce to 64460158 relations and 50865639 ideals in 13 passes
  52. Thu Oct 9 13:14:04 2025 max relations containing the same ideal: 156
  53. Thu Oct 9 13:15:05 2025 removing 8704364 relations and 6704364 ideals in 2000000 cliques
  54. Thu Oct 9 13:15:11 2025 commencing in-memory singleton removal
  55. Thu Oct 9 13:15:12 2025 begin with 55755794 relations and 50865639 unique ideals
  56. Thu Oct 9 13:15:16 2025 reduce to 54853822 relations and 43225082 ideals in 8 passes
  57. Thu Oct 9 13:15:16 2025 max relations containing the same ideal: 141
  58. Thu Oct 9 13:16:02 2025 removing 6866302 relations and 4866302 ideals in 2000000 cliques
  59. Thu Oct 9 13:16:08 2025 commencing in-memory singleton removal
  60. Thu Oct 9 13:16:09 2025 begin with 47987520 relations and 43225082 unique ideals
  61. Thu Oct 9 13:16:12 2025 reduce to 47342165 relations and 37690501 ideals in 8 passes
  62. Thu Oct 9 13:16:12 2025 max relations containing the same ideal: 129
  63. Thu Oct 9 13:16:45 2025 removing 6365984 relations and 4365984 ideals in 2000000 cliques
  64. Thu Oct 9 13:16:49 2025 commencing in-memory singleton removal
  65. Thu Oct 9 13:16:50 2025 begin with 40976181 relations and 37690501 unique ideals
  66. Thu Oct 9 13:16:52 2025 reduce to 40373393 relations and 32698391 ideals in 7 passes
  67. Thu Oct 9 13:16:52 2025 max relations containing the same ideal: 116
  68. Thu Oct 9 13:17:21 2025 removing 6127503 relations and 4127503 ideals in 2000000 cliques
  69. Thu Oct 9 13:17:24 2025 commencing in-memory singleton removal
  70. Thu Oct 9 13:17:25 2025 begin with 34245890 relations and 32698391 unique ideals
  71. Thu Oct 9 13:17:27 2025 reduce to 33630522 relations and 27928743 ideals in 8 passes
  72. Thu Oct 9 13:17:27 2025 max relations containing the same ideal: 105
  73. Thu Oct 9 13:17:50 2025 removing 5987631 relations and 3987631 ideals in 2000000 cliques
  74. Thu Oct 9 13:17:53 2025 commencing in-memory singleton removal
  75. Thu Oct 9 13:17:54 2025 begin with 27642891 relations and 27928743 unique ideals
  76. Thu Oct 9 13:17:55 2025 reduce to 26972325 relations and 23235885 ideals in 7 passes
  77. Thu Oct 9 13:17:55 2025 max relations containing the same ideal: 93
  78. Thu Oct 9 13:18:15 2025 removing 5889356 relations and 3889356 ideals in 2000000 cliques
  79. Thu Oct 9 13:18:18 2025 commencing in-memory singleton removal
  80. Thu Oct 9 13:18:19 2025 begin with 21082969 relations and 23235885 unique ideals
  81. Thu Oct 9 13:18:20 2025 reduce to 20306478 relations and 18520086 ideals in 8 passes
  82. Thu Oct 9 13:18:20 2025 max relations containing the same ideal: 76
  83. Thu Oct 9 13:18:37 2025 removing 3812721 relations and 2624717 ideals in 1188004 cliques
  84. Thu Oct 9 13:18:40 2025 commencing in-memory singleton removal
  85. Thu Oct 9 13:18:40 2025 begin with 16493757 relations and 18520086 unique ideals
  86. Thu Oct 9 13:18:41 2025 reduce to 16036764 relations and 15414236 ideals in 7 passes
  87. Thu Oct 9 13:18:41 2025 max relations containing the same ideal: 67
  88. Thu Oct 9 13:18:54 2025 removing 150766 relations and 126626 ideals in 24140 cliques
  89. Thu Oct 9 13:18:55 2025 commencing in-memory singleton removal
  90. Thu Oct 9 13:18:56 2025 begin with 15885998 relations and 15414236 unique ideals
  91. Thu Oct 9 13:18:56 2025 reduce to 15885127 relations and 15286737 ideals in 5 passes
  92. Thu Oct 9 13:18:56 2025 max relations containing the same ideal: 66
  93. Thu Oct 9 13:18:59 2025 relations with 0 large ideals: 1715
  94. Thu Oct 9 13:18:59 2025 relations with 1 large ideals: 10309
  95. Thu Oct 9 13:18:59 2025 relations with 2 large ideals: 136247
  96. Thu Oct 9 13:18:59 2025 relations with 3 large ideals: 778822
  97. Thu Oct 9 13:18:59 2025 relations with 4 large ideals: 2326606
  98. Thu Oct 9 13:18:59 2025 relations with 5 large ideals: 4040182
  99. Thu Oct 9 13:18:59 2025 relations with 6 large ideals: 4307730
  100. Thu Oct 9 13:18:59 2025 relations with 7+ large ideals: 4283516
  101. Thu Oct 9 13:18:59 2025 commencing 2-way merge
  102. Thu Oct 9 13:19:16 2025 reduce to 10425934 relation sets and 9827544 unique ideals
  103. Thu Oct 9 13:19:16 2025 commencing full merge
  104. Thu Oct 9 13:26:54 2025 memory use: 1299.4 MB
  105. Thu Oct 9 13:26:56 2025 found 4633521 cycles, need 4605744
  106. Thu Oct 9 13:26:58 2025 weight of 4605744 cycles is about 598939524 (130.04/cycle)
  107. Thu Oct 9 13:26:58 2025 distribution of cycle lengths:
  108. Thu Oct 9 13:26:58 2025 1 relations: 94105
  109. Thu Oct 9 13:26:58 2025 2 relations: 223889
  110. Thu Oct 9 13:26:58 2025 3 relations: 289880
  111. Thu Oct 9 13:26:58 2025 4 relations: 314177
  112. Thu Oct 9 13:26:58 2025 5 relations: 332571
  113. Thu Oct 9 13:26:58 2025 6 relations: 336349
  114. Thu Oct 9 13:26:58 2025 7 relations: 334528
  115. Thu Oct 9 13:26:58 2025 8 relations: 324087
  116. Thu Oct 9 13:26:58 2025 9 relations: 309422
  117. Thu Oct 9 13:26:58 2025 10+ relations: 2046736
  118. Thu Oct 9 13:26:58 2025 heaviest cycle: 28 relations
  119. Thu Oct 9 13:27:01 2025 commencing cycle optimization
  120. Thu Oct 9 13:27:20 2025 start with 44052345 relations
  121. Thu Oct 9 13:30:26 2025 pruned 2324417 relations
  122. Thu Oct 9 13:30:26 2025 memory use: 1111.1 MB
  123. Thu Oct 9 13:30:26 2025 distribution of cycle lengths:
  124. Thu Oct 9 13:30:26 2025 1 relations: 94105
  125. Thu Oct 9 13:30:26 2025 2 relations: 230894
  126. Thu Oct 9 13:30:26 2025 3 relations: 304262
  127. Thu Oct 9 13:30:26 2025 4 relations: 330110
  128. Thu Oct 9 13:30:26 2025 5 relations: 352833
  129. Thu Oct 9 13:30:26 2025 6 relations: 356082
  130. Thu Oct 9 13:30:26 2025 7 relations: 356053
  131. Thu Oct 9 13:30:26 2025 8 relations: 343243
  132. Thu Oct 9 13:30:26 2025 9 relations: 327340
  133. Thu Oct 9 13:30:26 2025 10+ relations: 1910822
  134. Thu Oct 9 13:30:26 2025 heaviest cycle: 28 relations
  135. Thu Oct 9 13:30:38 2025 RelProcTime: 2107
  136. Thu Oct 9 13:30:38 2025
  137. Thu Oct 9 13:30:38 2025 commencing linear algebra
  138. Thu Oct 9 13:30:38 2025 using VBITS=256
  139. Thu Oct 9 13:30:38 2025 stopping after matrix build
  140. Thu Oct 9 13:30:38 2025 initialized process (0,0) of 1 x 1 grid
  141. Thu Oct 9 13:30:38 2025 reversing signs of algebraic polynomial
  142. Thu Oct 9 13:30:39 2025 read 4605744 cycles
  143. Thu Oct 9 13:30:54 2025 cycles contain 15581844 unique relations
  144. Thu Oct 9 13:33:24 2025 read 15581844 relations
  145. Thu Oct 9 13:33:26 2025 using 20 quadratic characters above 4294917295
  146. Thu Oct 9 13:33:29 2025 building initial matrix
  147. Thu Oct 9 13:40:02 2025 memory use: 2147.6 MB
  148. Thu Oct 9 13:40:08 2025 read 4605744 cycles
  149. Thu Oct 9 13:40:09 2025 matrix is 4605567 x 4605744 (2311.8 MB) with weight 704791247 (153.02/col)
  150. Thu Oct 9 13:40:09 2025 sparse part has weight 550743447 (119.58/col)
  151. Thu Oct 9 13:41:52 2025 filtering completed in 2 passes
  152. Thu Oct 9 13:41:54 2025 matrix is 4605502 x 4605678 (2311.7 MB) with weight 704787443 (153.03/col)
  153. Thu Oct 9 13:41:54 2025 sparse part has weight 550741968 (119.58/col)
  154. Thu Oct 9 13:42:28 2025 BLanczosTime: 710
  155. Thu Oct 9 13:42:28 2025 elapsed time 00:46:58
  156. Thu Oct 9 14:13:47 2025
  157. Thu Oct 9 14:13:47 2025
  158. Thu Oct 9 14:13:47 2025 Msieve v. 1.54 (SVN Unversioned directory)
  159. Thu Oct 9 14:13:47 2025 random seeds: 7b06d6d9 8bf574ec
  160. Thu Oct 9 14:13:47 2025 MPI process 0 of 1
  161. Thu Oct 9 14:13:47 2025 Using 64 OpenMP threads
  162. Thu Oct 9 14:13:47 2025 factoring 2420385292667411658313750345703490270183724872262479951468681499368780517483180845174156638880714449956891695593827347249819770297994495111450536673575065445033 (160 digits)
  163. Thu Oct 9 14:13:48 2025 searching for 15-digit factors
  164. Thu Oct 9 14:13:48 2025 commencing number field sieve (160-digit input)
  165. Thu Oct 9 14:13:48 2025 reversing signs of algebraic polynomial
  166. Thu Oct 9 14:13:48 2025 R0: -7977815730444213628267322738149
  167. Thu Oct 9 14:13:48 2025 R1: 4249121530463671979207
  168. Thu Oct 9 14:13:48 2025 A0: -75527625846326882014979774194734549900
  169. Thu Oct 9 14:13:48 2025 A1: 26480275307476271326530321880168
  170. Thu Oct 9 14:13:48 2025 A2: 94116696928169550808211829
  171. Thu Oct 9 14:13:48 2025 A3: 4831113731046068897
  172. Thu Oct 9 14:13:48 2025 A4: -7921831548954
  173. Thu Oct 9 14:13:48 2025 A5: 453600
  174. Thu Oct 9 14:13:48 2025 skew 3576441.52, size 1.939e-15, alpha -7.676, combined = 1.712e-12 rroots = 5
  175. Thu Oct 9 14:13:48 2025
  176. Thu Oct 9 14:13:48 2025 commencing linear algebra
  177. Thu Oct 9 14:13:48 2025 using VBITS=256
  178. Thu Oct 9 14:13:48 2025 skipping matrix build
  179. Thu Oct 9 14:13:48 2025 initialized process (0,0) of 1 x 1 grid
  180. Thu Oct 9 14:13:53 2025 matrix starts at (0, 0)
  181. Thu Oct 9 14:13:53 2025 matrix is 4605502 x 4605678 (2311.7 MB) with weight 704787443 (153.03/col)
  182. Thu Oct 9 14:13:53 2025 sparse part has weight 550741968 (119.58/col)
  183. Thu Oct 9 14:13:53 2025 saving the first 240 matrix rows for later
  184. Thu Oct 9 14:13:54 2025 matrix includes 256 packed rows
  185. Thu Oct 9 14:13:56 2025 matrix is 4605262 x 4605678 (2076.9 MB) with weight 503151501 (109.25/col)
  186. Thu Oct 9 14:13:56 2025 sparse part has weight 470745886 (102.21/col)
  187. Thu Oct 9 14:13:56 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  188. Thu Oct 9 14:14:06 2025 commencing Lanczos iteration (64 threads)
  189. Thu Oct 9 14:14:06 2025 memory use: 2930.8 MB
  190. Thu Oct 9 14:14:43 2025 linear algebra at 0.7%, ETA 1h29m
  191. Thu Oct 9 14:15:36 2025 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  192. Thu Oct 9 15:41:23 2025 lanczos halted after 18045 iterations (dim = 4605261)
  193. Thu Oct 9 15:41:40 2025 recovered 28 nontrivial dependencies
  194. Thu Oct 9 15:41:41 2025 BLanczosTime: 5273
  195. Thu Oct 9 15:41:41 2025
  196. Thu Oct 9 15:41:41 2025 commencing square root phase
  197. Thu Oct 9 15:41:41 2025 reversing signs of algebraic polynomial
  198. Thu Oct 9 15:41:41 2025 handling dependencies 1 to 64
  199. Thu Oct 9 15:41:41 2025 reading relations for dependency 1
  200. Thu Oct 9 15:41:41 2025 read 2302468 cycles
  201. Thu Oct 9 15:41:44 2025 cycles contain 7787662 unique relations
  202. Thu Oct 9 15:43:50 2025 read 7787662 relations
  203. Thu Oct 9 15:44:57 2025 multiplying 7787662 relations
  204. Thu Oct 9 15:46:34 2025 multiply complete, coefficients have about 431.05 million bits
  205. Thu Oct 9 15:46:36 2025 initial square root is modulo 54249071
  206. Thu Oct 9 15:51:34 2025 GCD is 1, no factor found
  207. Thu Oct 9 15:51:34 2025 reading relations for dependency 2
  208. Thu Oct 9 15:51:36 2025 read 2304749 cycles
  209. Thu Oct 9 15:51:44 2025 cycles contain 7794816 unique relations
  210. Thu Oct 9 15:54:12 2025 read 7794816 relations
  211. Thu Oct 9 15:55:20 2025 multiplying 7794816 relations
  212. Thu Oct 9 15:56:50 2025 multiply complete, coefficients have about 431.45 million bits
  213. Thu Oct 9 15:56:52 2025 initial square root is modulo 55164671
  214. Thu Oct 9 16:01:50 2025 GCD is 1, no factor found
  215. Thu Oct 9 16:01:50 2025 reading relations for dependency 3
  216. Thu Oct 9 16:01:51 2025 read 2303402 cycles
  217. Thu Oct 9 16:02:00 2025 cycles contain 7793138 unique relations
  218. Thu Oct 9 16:04:27 2025 read 7793138 relations
  219. Thu Oct 9 16:05:35 2025 multiplying 7793138 relations
  220. Thu Oct 9 16:07:04 2025 multiply complete, coefficients have about 431.35 million bits
  221. Thu Oct 9 16:07:06 2025 initial square root is modulo 54930251
  222. Thu Oct 9 16:12:03 2025 sqrtTime: 1822
  223. Thu Oct 9 16:12:03 2025 p69 factor: 707891854794428936652175416879987087205648351710805350414383815554577
  224. Thu Oct 9 16:12:03 2025 p91 factor: 3419145560546517443594956572505108614566757793038259079422836455848970427910089427837659929
  225. Thu Oct 9 16:12:03 2025 elapsed time 01:58:16
  226.  
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