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Sep 22nd, 2026
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  1. Thu Sep 10 08:40:03 2026
  2. Thu Sep 10 08:40:03 2026
  3. Thu Sep 10 08:40:03 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Sep 10 08:40:03 2026 random seeds: fe1ee162 283a0d9c
  5. Thu Sep 10 08:40:03 2026 MPI process 0 of 1
  6. Thu Sep 10 08:40:03 2026 Using 32 OpenMP threads
  7. Thu Sep 10 08:40:03 2026 factoring 444881710069737549583173932724639623005366683196351815306746062929794604019330321272499063244985616899739238289830874181495813886043681359552121154827038703437 (159 digits)
  8. Thu Sep 10 08:40:04 2026 searching for 15-digit factors
  9. Thu Sep 10 08:40:04 2026 commencing number field sieve (159-digit input)
  10. Thu Sep 10 08:40:04 2026 R0: -4488668231246767709829135953873
  11. Thu Sep 10 08:40:04 2026 R1: 17004330790512832653263
  12. Thu Sep 10 08:40:04 2026 A0: -252093012389958693583994922381068294808
  13. Thu Sep 10 08:40:04 2026 A1: 214441641491698410672768155218930
  14. Thu Sep 10 08:40:04 2026 A2: 44530005259956834229096129
  15. Thu Sep 10 08:40:04 2026 A3: -39918802186585898865
  16. Thu Sep 10 08:40:04 2026 A4: -5989331455098
  17. Thu Sep 10 08:40:04 2026 A5: 511560
  18. Thu Sep 10 08:40:04 2026 skew 3980056.56, size 2.076e-15, alpha -7.437, combined = 1.737e-12 rroots = 5
  19. Thu Sep 10 08:40:04 2026
  20. Thu Sep 10 08:40:04 2026 commencing relation filtering
  21. Thu Sep 10 08:40:04 2026 setting target matrix density to 130.0
  22. Thu Sep 10 08:40:04 2026 estimated available RAM is 257736.5 MB
  23. Thu Sep 10 08:40:04 2026 commencing duplicate removal, pass 1
  24. Thu Sep 10 08:40:12 2026 error -1 reading relation 2946599
  25. Thu Sep 10 08:41:04 2026 error -1 reading relation 24798977
  26. Thu Sep 10 08:41:08 2026 error -15 reading relation 26223534
  27. Thu Sep 10 08:42:07 2026 error -1 reading relation 50694470
  28. Thu Sep 10 08:43:18 2026 error -1 reading relation 79109195
  29. Thu Sep 10 08:44:38 2026 error -1 reading relation 110197366
  30. Thu Sep 10 08:44:52 2026 error -1 reading relation 115618055
  31. Thu Sep 10 08:45:39 2026 skipped 47 malformed relations
  32. Thu Sep 10 08:45:39 2026 found 17755299 hash collisions in 133586030 relations
  33. Thu Sep 10 08:46:21 2026 added 122199 free relations
  34. Thu Sep 10 08:46:21 2026 commencing duplicate removal, pass 2
  35. Thu Sep 10 08:51:03 2026 found 16249800 duplicates and 117458429 unique relations
  36. Thu Sep 10 08:51:03 2026 memory use: 788.8 MB
  37. Thu Sep 10 08:51:03 2026 reading ideals above 720000
  38. Thu Sep 10 08:51:04 2026 commencing singleton removal, initial pass
  39. Thu Sep 10 09:05:49 2026 memory use: 3012.0 MB
  40. Thu Sep 10 09:05:50 2026 reading all ideals from disk
  41. Thu Sep 10 09:05:53 2026 memory use: 5242.5 MB
  42. Thu Sep 10 09:06:20 2026 keeping 114299039 ideals with weight <= 200, target excess is 620650
  43. Thu Sep 10 09:06:51 2026 commencing in-memory singleton removal
  44. Thu Sep 10 09:06:53 2026 begin with 117458429 relations and 114299039 unique ideals
  45. Thu Sep 10 09:07:04 2026 reduce to 60565521 relations and 50065673 ideals in 18 passes
  46. Thu Sep 10 09:07:04 2026 max relations containing the same ideal: 132
  47. Thu Sep 10 09:07:47 2026 removing 6164419 relations and 5164419 ideals in 1000000 cliques
  48. Thu Sep 10 09:07:51 2026 commencing in-memory singleton removal
  49. Thu Sep 10 09:07:52 2026 begin with 54401102 relations and 50065673 unique ideals
  50. Thu Sep 10 09:07:56 2026 reduce to 53957174 relations and 44448022 ideals in 9 passes
  51. Thu Sep 10 09:07:56 2026 max relations containing the same ideal: 123
  52. Thu Sep 10 09:08:36 2026 removing 4656191 relations and 3656191 ideals in 1000000 cliques
  53. Thu Sep 10 09:08:39 2026 commencing in-memory singleton removal
  54. Thu Sep 10 09:08:40 2026 begin with 49300983 relations and 44448022 unique ideals
  55. Thu Sep 10 09:08:44 2026 reduce to 49002236 relations and 40487626 ideals in 8 passes
  56. Thu Sep 10 09:08:44 2026 max relations containing the same ideal: 116
  57. Thu Sep 10 09:09:20 2026 removing 4199046 relations and 3199046 ideals in 1000000 cliques
  58. Thu Sep 10 09:09:24 2026 commencing in-memory singleton removal
  59. Thu Sep 10 09:09:24 2026 begin with 44803190 relations and 40487626 unique ideals
  60. Thu Sep 10 09:09:27 2026 reduce to 44536233 relations and 37016441 ideals in 7 passes
  61. Thu Sep 10 09:09:27 2026 max relations containing the same ideal: 111
  62. Thu Sep 10 09:09:59 2026 removing 3962764 relations and 2962764 ideals in 1000000 cliques
  63. Thu Sep 10 09:10:02 2026 commencing in-memory singleton removal
  64. Thu Sep 10 09:10:03 2026 begin with 40573469 relations and 37016441 unique ideals
  65. Thu Sep 10 09:10:06 2026 reduce to 40315744 relations and 33790817 ideals in 7 passes
  66. Thu Sep 10 09:10:06 2026 max relations containing the same ideal: 102
  67. Thu Sep 10 09:10:35 2026 removing 3816604 relations and 2816604 ideals in 1000000 cliques
  68. Thu Sep 10 09:10:38 2026 commencing in-memory singleton removal
  69. Thu Sep 10 09:10:39 2026 begin with 36499140 relations and 33790817 unique ideals
  70. Thu Sep 10 09:10:41 2026 reduce to 36239867 relations and 30709297 ideals in 7 passes
  71. Thu Sep 10 09:10:41 2026 max relations containing the same ideal: 95
  72. Thu Sep 10 09:11:09 2026 removing 3721623 relations and 2721623 ideals in 1000000 cliques
  73. Thu Sep 10 09:11:11 2026 commencing in-memory singleton removal
  74. Thu Sep 10 09:11:12 2026 begin with 32518244 relations and 30709297 unique ideals
  75. Thu Sep 10 09:11:14 2026 reduce to 32249782 relations and 27712877 ideals in 8 passes
  76. Thu Sep 10 09:11:14 2026 max relations containing the same ideal: 91
  77. Thu Sep 10 09:11:38 2026 removing 3655341 relations and 2655341 ideals in 1000000 cliques
  78. Thu Sep 10 09:11:40 2026 commencing in-memory singleton removal
  79. Thu Sep 10 09:11:41 2026 begin with 28594441 relations and 27712877 unique ideals
  80. Thu Sep 10 09:11:42 2026 reduce to 28310944 relations and 24766594 ideals in 7 passes
  81. Thu Sep 10 09:11:42 2026 max relations containing the same ideal: 80
  82. Thu Sep 10 09:12:03 2026 removing 3610429 relations and 2610429 ideals in 1000000 cliques
  83. Thu Sep 10 09:12:06 2026 commencing in-memory singleton removal
  84. Thu Sep 10 09:12:06 2026 begin with 24700515 relations and 24766594 unique ideals
  85. Thu Sep 10 09:12:08 2026 reduce to 24393368 relations and 21839933 ideals in 8 passes
  86. Thu Sep 10 09:12:08 2026 max relations containing the same ideal: 71
  87. Thu Sep 10 09:12:27 2026 removing 3577289 relations and 2577289 ideals in 1000000 cliques
  88. Thu Sep 10 09:12:29 2026 commencing in-memory singleton removal
  89. Thu Sep 10 09:12:29 2026 begin with 20816079 relations and 21839933 unique ideals
  90. Thu Sep 10 09:12:30 2026 reduce to 20473095 relations and 18907887 ideals in 8 passes
  91. Thu Sep 10 09:12:30 2026 max relations containing the same ideal: 63
  92. Thu Sep 10 09:12:47 2026 removing 3109092 relations and 2263839 ideals in 845253 cliques
  93. Thu Sep 10 09:12:49 2026 commencing in-memory singleton removal
  94. Thu Sep 10 09:12:49 2026 begin with 17364003 relations and 18907887 unique ideals
  95. Thu Sep 10 09:12:50 2026 reduce to 17065185 relations and 16334802 ideals in 8 passes
  96. Thu Sep 10 09:12:50 2026 max relations containing the same ideal: 56
  97. Thu Sep 10 09:13:04 2026 removing 78986 relations and 68558 ideals in 10428 cliques
  98. Thu Sep 10 09:13:05 2026 commencing in-memory singleton removal
  99. Thu Sep 10 09:13:05 2026 begin with 16986199 relations and 16334802 unique ideals
  100. Thu Sep 10 09:13:06 2026 reduce to 16986032 relations and 16266077 ideals in 5 passes
  101. Thu Sep 10 09:13:06 2026 max relations containing the same ideal: 56
  102. Thu Sep 10 09:13:09 2026 relations with 0 large ideals: 2061
  103. Thu Sep 10 09:13:09 2026 relations with 1 large ideals: 16156
  104. Thu Sep 10 09:13:09 2026 relations with 2 large ideals: 202759
  105. Thu Sep 10 09:13:09 2026 relations with 3 large ideals: 1077836
  106. Thu Sep 10 09:13:09 2026 relations with 4 large ideals: 2953111
  107. Thu Sep 10 09:13:09 2026 relations with 5 large ideals: 4645150
  108. Thu Sep 10 09:13:09 2026 relations with 6 large ideals: 4421901
  109. Thu Sep 10 09:13:09 2026 relations with 7+ large ideals: 3667058
  110. Thu Sep 10 09:13:09 2026 commencing 2-way merge
  111. Thu Sep 10 09:13:27 2026 reduce to 10540104 relation sets and 9820149 unique ideals
  112. Thu Sep 10 09:13:27 2026 commencing full merge
  113. Thu Sep 10 09:22:07 2026 memory use: 1301.2 MB
  114. Thu Sep 10 09:22:09 2026 found 4699808 cycles, need 4658349
  115. Thu Sep 10 09:22:12 2026 weight of 4658349 cycles is about 605736921 (130.03/cycle)
  116. Thu Sep 10 09:22:12 2026 distribution of cycle lengths:
  117. Thu Sep 10 09:22:12 2026 1 relations: 122609
  118. Thu Sep 10 09:22:12 2026 2 relations: 240778
  119. Thu Sep 10 09:22:12 2026 3 relations: 298240
  120. Thu Sep 10 09:22:12 2026 4 relations: 313135
  121. Thu Sep 10 09:22:12 2026 5 relations: 325150
  122. Thu Sep 10 09:22:12 2026 6 relations: 325903
  123. Thu Sep 10 09:22:12 2026 7 relations: 325464
  124. Thu Sep 10 09:22:12 2026 8 relations: 316472
  125. Thu Sep 10 09:22:12 2026 9 relations: 301815
  126. Thu Sep 10 09:22:12 2026 10+ relations: 2088783
  127. Thu Sep 10 09:22:12 2026 heaviest cycle: 28 relations
  128. Thu Sep 10 09:22:15 2026 commencing cycle optimization
  129. Thu Sep 10 09:22:37 2026 start with 44533479 relations
  130. Thu Sep 10 09:26:30 2026 pruned 2108521 relations
  131. Thu Sep 10 09:26:30 2026 memory use: 1155.6 MB
  132. Thu Sep 10 09:26:30 2026 distribution of cycle lengths:
  133. Thu Sep 10 09:26:30 2026 1 relations: 122609
  134. Thu Sep 10 09:26:30 2026 2 relations: 247545
  135. Thu Sep 10 09:26:30 2026 3 relations: 311185
  136. Thu Sep 10 09:26:30 2026 4 relations: 327074
  137. Thu Sep 10 09:26:30 2026 5 relations: 342468
  138. Thu Sep 10 09:26:30 2026 6 relations: 342644
  139. Thu Sep 10 09:26:30 2026 7 relations: 343784
  140. Thu Sep 10 09:26:30 2026 8 relations: 332481
  141. Thu Sep 10 09:26:30 2026 9 relations: 317976
  142. Thu Sep 10 09:26:30 2026 10+ relations: 1970583
  143. Thu Sep 10 09:26:30 2026 heaviest cycle: 28 relations
  144. Thu Sep 10 09:26:47 2026 RelProcTime: 2803
  145. Thu Sep 10 09:26:47 2026
  146. Thu Sep 10 09:26:47 2026 commencing linear algebra
  147. Thu Sep 10 09:26:47 2026 using VBITS=256
  148. Thu Sep 10 09:26:47 2026 stopping after matrix build
  149. Thu Sep 10 09:26:47 2026 initialized process (0,0) of 1 x 1 grid
  150. Thu Sep 10 09:26:48 2026 read 4658349 cycles
  151. Thu Sep 10 09:27:07 2026 cycles contain 16575798 unique relations
  152. Thu Sep 10 09:30:15 2026 read 16575798 relations
  153. Thu Sep 10 09:30:17 2026 using 20 quadratic characters above 4294917295
  154. Thu Sep 10 09:30:20 2026 building initial matrix
  155. Thu Sep 10 09:37:51 2026 memory use: 2257.9 MB
  156. Thu Sep 10 09:37:58 2026 read 4658349 cycles
  157. Thu Sep 10 09:37:59 2026 matrix is 4658170 x 4658349 (2332.1 MB) with weight 715637524 (153.62/col)
  158. Thu Sep 10 09:37:59 2026 sparse part has weight 560092864 (120.23/col)
  159. Thu Sep 10 09:39:53 2026 filtering completed in 2 passes
  160. Thu Sep 10 09:39:55 2026 matrix is 4658061 x 4658240 (2332.0 MB) with weight 715631008 (153.63/col)
  161. Thu Sep 10 09:39:55 2026 sparse part has weight 560090312 (120.24/col)
  162. Thu Sep 10 09:40:35 2026 BLanczosTime: 828
  163. Thu Sep 10 09:40:35 2026 elapsed time 01:00:32
  164. Thu Sep 10 09:57:19 2026
  165. Thu Sep 10 09:57:19 2026
  166. Thu Sep 10 09:57:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  167. Thu Sep 10 09:57:19 2026 random seeds: 54022015 3af03536
  168. Thu Sep 10 09:57:19 2026 MPI process 0 of 1
  169. Thu Sep 10 09:57:19 2026 Using 64 OpenMP threads
  170. Thu Sep 10 09:57:19 2026 factoring 444881710069737549583173932724639623005366683196351815306746062929794604019330321272499063244985616899739238289830874181495813886043681359552121154827038703437 (159 digits)
  171. Thu Sep 10 09:57:20 2026 searching for 15-digit factors
  172. Thu Sep 10 09:57:20 2026 commencing number field sieve (159-digit input)
  173. Thu Sep 10 09:57:20 2026 R0: -4488668231246767709829135953873
  174. Thu Sep 10 09:57:20 2026 R1: 17004330790512832653263
  175. Thu Sep 10 09:57:20 2026 A0: -252093012389958693583994922381068294808
  176. Thu Sep 10 09:57:20 2026 A1: 214441641491698410672768155218930
  177. Thu Sep 10 09:57:20 2026 A2: 44530005259956834229096129
  178. Thu Sep 10 09:57:20 2026 A3: -39918802186585898865
  179. Thu Sep 10 09:57:20 2026 A4: -5989331455098
  180. Thu Sep 10 09:57:20 2026 A5: 511560
  181. Thu Sep 10 09:57:20 2026 skew 3980056.56, size 2.076e-15, alpha -7.437, combined = 1.737e-12 rroots = 5
  182. Thu Sep 10 09:57:20 2026
  183. Thu Sep 10 09:57:20 2026 commencing linear algebra
  184. Thu Sep 10 09:57:20 2026 using VBITS=256
  185. Thu Sep 10 09:57:20 2026 skipping matrix build
  186. Thu Sep 10 09:57:20 2026 initialized process (0,0) of 1 x 1 grid
  187. Thu Sep 10 09:57:25 2026 matrix starts at (0, 0)
  188. Thu Sep 10 09:57:26 2026 matrix is 4658061 x 4658240 (2332.0 MB) with weight 715631008 (153.63/col)
  189. Thu Sep 10 09:57:26 2026 sparse part has weight 560090312 (120.24/col)
  190. Thu Sep 10 09:57:26 2026 saving the first 240 matrix rows for later
  191. Thu Sep 10 09:57:28 2026 matrix includes 256 packed rows
  192. Thu Sep 10 09:57:31 2026 matrix is 4657821 x 4658240 (2098.4 MB) with weight 509214449 (109.31/col)
  193. Thu Sep 10 09:57:31 2026 sparse part has weight 475558066 (102.09/col)
  194. Thu Sep 10 09:57:31 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Thu Sep 10 09:57:42 2026 commencing Lanczos iteration (64 threads)
  196. Thu Sep 10 09:57:42 2026 memory use: 2962.7 MB
  197. Thu Sep 10 09:58:20 2026 linear algebra at 0.7%, ETA 1h33m
  198. Thu Sep 10 09:59:13 2026 checking every 50000 dimensions, checkpointing every 3100000 dimensions
  199. Thu Sep 10 11:26:49 2026 lanczos halted after 18250 iterations (dim = 4657819)
  200. Thu Sep 10 11:27:09 2026 recovered 26 nontrivial dependencies
  201. Thu Sep 10 11:27:09 2026 BLanczosTime: 5389
  202. Thu Sep 10 11:27:09 2026
  203. Thu Sep 10 11:27:09 2026 commencing square root phase
  204. Thu Sep 10 11:27:09 2026 handling dependencies 1 to 64
  205. Thu Sep 10 11:27:09 2026 reading relations for dependency 1
  206. Thu Sep 10 11:27:09 2026 read 2328597 cycles
  207. Thu Sep 10 11:27:13 2026 cycles contain 8288320 unique relations
  208. Thu Sep 10 11:28:58 2026 read 8288320 relations
  209. Thu Sep 10 11:29:24 2026 multiplying 8288320 relations
  210. Thu Sep 10 11:31:02 2026 multiply complete, coefficients have about 459.39 million bits
  211. Thu Sep 10 11:31:04 2026 initial square root is modulo 174989077
  212. Thu Sep 10 11:36:41 2026 sqrtTime: 572
  213. Thu Sep 10 11:36:41 2026 p57 factor: 132389721062964273695667553648163135234048586301607478731
  214. Thu Sep 10 11:36:41 2026 p103 factor: 3360394647694383624090335667349532924064625928911615273780691364907793805728384639479608142856066886727
  215. Thu Sep 10 11:36:41 2026 elapsed time 01:39:22
  216.  
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