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May 22nd, 2025
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  1. Thu May 22 07:53:43 2025
  2. Thu May 22 07:53:43 2025
  3. Thu May 22 07:53:43 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 22 07:53:43 2025 random seeds: 30a29b7b 75dbf549
  5. Thu May 22 07:53:43 2025 MPI process 0 of 1
  6. Thu May 22 07:53:43 2025 Using 32 OpenMP threads
  7. Thu May 22 07:53:43 2025 factoring 6287660449938881426645463275088616530095395526763977278899233553470637902235103742882291516876075131628162420415898051024045071156955153156072573469294976042981220361 (166 digits)
  8. Thu May 22 07:53:44 2025 searching for 15-digit factors
  9. Thu May 22 07:53:45 2025 commencing number field sieve (166-digit input)
  10. Thu May 22 07:53:45 2025 R0: -84352502096849333181699119123331
  11. Thu May 22 07:53:45 2025 R1: 17499763770482718553709003
  12. Thu May 22 07:53:45 2025 A0: -312500862181210646933262142198611004800
  13. Thu May 22 07:53:45 2025 A1: -521172053238892605056268030574088
  14. Thu May 22 07:53:45 2025 A2: -83862469025778990527088477
  15. Thu May 22 07:53:45 2025 A3: 125252372268978907856
  16. Thu May 22 07:53:45 2025 A4: 2252583839622
  17. Thu May 22 07:53:45 2025 A5: 393120
  18. Thu May 22 07:53:45 2025 skew 2847481.00, size 3.999e-16, alpha -6.830, combined = 6.600e-13 rroots = 3
  19. Thu May 22 07:53:45 2025
  20. Thu May 22 07:53:45 2025 commencing relation filtering
  21. Thu May 22 07:53:45 2025 setting target matrix density to 120.0
  22. Thu May 22 07:53:45 2025 estimated available RAM is 257736.5 MB
  23. Thu May 22 07:53:45 2025 commencing duplicate removal, pass 1
  24. Thu May 22 07:56:46 2025 error -1 reading relation 96475409
  25. Thu May 22 07:57:14 2025 error -1 reading relation 109729302
  26. Thu May 22 07:59:08 2025 error -1 reading relation 165792161
  27. Thu May 22 08:00:11 2025 error -1 reading relation 196133882
  28. Thu May 22 08:00:42 2025 error -15 reading relation 211300397
  29. Thu May 22 08:00:42 2025 error -1 reading relation 211300436
  30. Thu May 22 08:00:42 2025 error -1 reading relation 211310723
  31. Thu May 22 08:00:42 2025 error -15 reading relation 211328098
  32. Thu May 22 08:00:42 2025 error -1 reading relation 211332002
  33. Thu May 22 08:00:42 2025 error -15 reading relation 211335246
  34. Thu May 22 08:00:46 2025 error -1 reading relation 213637242
  35. Thu May 22 08:00:50 2025 error -1 reading relation 215335201
  36. Thu May 22 08:01:02 2025 error -1 reading relation 221230219
  37. Thu May 22 08:01:13 2025 error -1 reading relation 226714623
  38. Thu May 22 08:01:14 2025 error -1 reading relation 227187369
  39. Thu May 22 08:01:14 2025 error -15 reading relation 227187872
  40. Thu May 22 08:01:14 2025 error -1 reading relation 227189030
  41. Thu May 22 08:01:14 2025 error -1 reading relation 227194102
  42. Thu May 22 08:01:14 2025 error -1 reading relation 227205943
  43. Thu May 22 08:01:24 2025 error -1 reading relation 231791199
  44. Thu May 22 08:02:02 2025 error -1 reading relation 250504504
  45. Thu May 22 08:03:02 2025 skipped 4 relations with composite factors
  46. Thu May 22 08:03:02 2025 skipped 147 malformed relations
  47. Thu May 22 08:03:02 2025 found 53783384 hash collisions in 279815178 relations
  48. Thu May 22 08:03:24 2025 commencing duplicate removal, pass 2
  49. Thu May 22 08:08:56 2025 found 51490935 duplicates and 228324243 unique relations
  50. Thu May 22 08:08:56 2025 memory use: 1449.5 MB
  51. Thu May 22 08:08:56 2025 reading ideals above 720000
  52. Thu May 22 08:08:56 2025 commencing singleton removal, initial pass
  53. Thu May 22 08:26:38 2025 memory use: 6024.0 MB
  54. Thu May 22 08:26:39 2025 reading all ideals from disk
  55. Thu May 22 08:26:43 2025 memory use: 10487.0 MB
  56. Thu May 22 08:27:09 2025 keeping 223992186 ideals with weight <= 200, target excess is 1117909
  57. Thu May 22 08:27:40 2025 commencing in-memory singleton removal
  58. Thu May 22 08:27:45 2025 begin with 228324243 relations and 223992186 unique ideals
  59. Thu May 22 08:28:02 2025 reduce to 118841753 relations and 100231080 ideals in 16 passes
  60. Thu May 22 08:28:02 2025 max relations containing the same ideal: 139
  61. Thu May 22 08:28:50 2025 removing 12489364 relations and 10489364 ideals in 2000000 cliques
  62. Thu May 22 08:28:55 2025 commencing in-memory singleton removal
  63. Thu May 22 08:28:57 2025 begin with 106352389 relations and 100231080 unique ideals
  64. Thu May 22 08:29:05 2025 reduce to 105327613 relations and 88694776 ideals in 10 passes
  65. Thu May 22 08:29:05 2025 max relations containing the same ideal: 126
  66. Thu May 22 08:29:52 2025 removing 9514519 relations and 7514519 ideals in 2000000 cliques
  67. Thu May 22 08:29:55 2025 commencing in-memory singleton removal
  68. Thu May 22 08:29:57 2025 begin with 95813094 relations and 88694776 unique ideals
  69. Thu May 22 08:30:05 2025 reduce to 95110957 relations and 80464582 ideals in 11 passes
  70. Thu May 22 08:30:05 2025 max relations containing the same ideal: 118
  71. Thu May 22 08:30:42 2025 removing 8630980 relations and 6630980 ideals in 2000000 cliques
  72. Thu May 22 08:30:46 2025 commencing in-memory singleton removal
  73. Thu May 22 08:30:48 2025 begin with 86479977 relations and 80464582 unique ideals
  74. Thu May 22 08:30:53 2025 reduce to 85835463 relations and 73176118 ideals in 9 passes
  75. Thu May 22 08:30:53 2025 max relations containing the same ideal: 108
  76. Thu May 22 08:31:28 2025 removing 8203057 relations and 6203057 ideals in 2000000 cliques
  77. Thu May 22 08:31:31 2025 commencing in-memory singleton removal
  78. Thu May 22 08:31:33 2025 begin with 77632406 relations and 73176118 unique ideals
  79. Thu May 22 08:31:38 2025 reduce to 76990660 relations and 66317494 ideals in 9 passes
  80. Thu May 22 08:31:38 2025 max relations containing the same ideal: 102
  81. Thu May 22 08:32:08 2025 removing 7962839 relations and 5962839 ideals in 2000000 cliques
  82. Thu May 22 08:32:11 2025 commencing in-memory singleton removal
  83. Thu May 22 08:32:13 2025 begin with 69027821 relations and 66317494 unique ideals
  84. Thu May 22 08:32:17 2025 reduce to 68357202 relations and 59668439 ideals in 10 passes
  85. Thu May 22 08:32:17 2025 max relations containing the same ideal: 96
  86. Thu May 22 08:32:46 2025 removing 7839320 relations and 5839320 ideals in 2000000 cliques
  87. Thu May 22 08:32:49 2025 commencing in-memory singleton removal
  88. Thu May 22 08:32:50 2025 begin with 60517882 relations and 59668439 unique ideals
  89. Thu May 22 08:32:54 2025 reduce to 59787350 relations and 53079638 ideals in 9 passes
  90. Thu May 22 08:32:54 2025 max relations containing the same ideal: 86
  91. Thu May 22 08:33:19 2025 removing 7806200 relations and 5806200 ideals in 2000000 cliques
  92. Thu May 22 08:33:21 2025 commencing in-memory singleton removal
  93. Thu May 22 08:33:22 2025 begin with 51981150 relations and 53079638 unique ideals
  94. Thu May 22 08:33:26 2025 reduce to 51146723 relations and 46414542 ideals in 9 passes
  95. Thu May 22 08:33:26 2025 max relations containing the same ideal: 77
  96. Thu May 22 08:33:49 2025 removing 7844825 relations and 5844825 ideals in 2000000 cliques
  97. Thu May 22 08:33:52 2025 commencing in-memory singleton removal
  98. Thu May 22 08:33:52 2025 begin with 43301898 relations and 46414542 unique ideals
  99. Thu May 22 08:33:55 2025 reduce to 42298462 relations and 39531941 ideals in 10 passes
  100. Thu May 22 08:33:55 2025 max relations containing the same ideal: 70
  101. Thu May 22 08:34:14 2025 removing 6296866 relations and 4827120 ideals in 1469746 cliques
  102. Thu May 22 08:34:16 2025 commencing in-memory singleton removal
  103. Thu May 22 08:34:17 2025 begin with 36001596 relations and 39531941 unique ideals
  104. Thu May 22 08:34:19 2025 reduce to 35223993 relations and 33903192 ideals in 9 passes
  105. Thu May 22 08:34:19 2025 max relations containing the same ideal: 63
  106. Thu May 22 08:34:34 2025 removing 223429 relations and 199403 ideals in 24026 cliques
  107. Thu May 22 08:34:35 2025 commencing in-memory singleton removal
  108. Thu May 22 08:34:36 2025 begin with 35000564 relations and 33903192 unique ideals
  109. Thu May 22 08:34:37 2025 reduce to 34999645 relations and 33702868 ideals in 6 passes
  110. Thu May 22 08:34:37 2025 max relations containing the same ideal: 63
  111. Thu May 22 08:34:41 2025 relations with 0 large ideals: 4043
  112. Thu May 22 08:34:41 2025 relations with 1 large ideals: 37435
  113. Thu May 22 08:34:41 2025 relations with 2 large ideals: 465659
  114. Thu May 22 08:34:41 2025 relations with 3 large ideals: 2369316
  115. Thu May 22 08:34:41 2025 relations with 4 large ideals: 6331194
  116. Thu May 22 08:34:41 2025 relations with 5 large ideals: 9763556
  117. Thu May 22 08:34:41 2025 relations with 6 large ideals: 9061148
  118. Thu May 22 08:34:41 2025 relations with 7+ large ideals: 6967294
  119. Thu May 22 08:34:41 2025 commencing 2-way merge
  120. Thu May 22 08:35:02 2025 reduce to 20710244 relation sets and 19413467 unique ideals
  121. Thu May 22 08:35:02 2025 commencing full merge
  122. Thu May 22 08:40:34 2025 memory use: 2304.9 MB
  123. Thu May 22 08:40:35 2025 found 8994648 cycles, need 8935667
  124. Thu May 22 08:40:37 2025 weight of 8935667 cycles is about 1072372932 (120.01/cycle)
  125. Thu May 22 08:40:37 2025 distribution of cycle lengths:
  126. Thu May 22 08:40:37 2025 1 relations: 660245
  127. Thu May 22 08:40:37 2025 2 relations: 616378
  128. Thu May 22 08:40:37 2025 3 relations: 625068
  129. Thu May 22 08:40:37 2025 4 relations: 603809
  130. Thu May 22 08:40:37 2025 5 relations: 608239
  131. Thu May 22 08:40:37 2025 6 relations: 584973
  132. Thu May 22 08:40:37 2025 7 relations: 575894
  133. Thu May 22 08:40:37 2025 8 relations: 544581
  134. Thu May 22 08:40:37 2025 9 relations: 522963
  135. Thu May 22 08:40:37 2025 10+ relations: 3593517
  136. Thu May 22 08:40:37 2025 heaviest cycle: 28 relations
  137. Thu May 22 08:40:39 2025 commencing cycle optimization
  138. Thu May 22 08:40:54 2025 start with 79077290 relations
  139. Thu May 22 08:44:20 2025 pruned 3059134 relations
  140. Thu May 22 08:44:20 2025 memory use: 2217.2 MB
  141. Thu May 22 08:44:20 2025 distribution of cycle lengths:
  142. Thu May 22 08:44:20 2025 1 relations: 660245
  143. Thu May 22 08:44:20 2025 2 relations: 631320
  144. Thu May 22 08:44:20 2025 3 relations: 648682
  145. Thu May 22 08:44:20 2025 4 relations: 625403
  146. Thu May 22 08:44:20 2025 5 relations: 632978
  147. Thu May 22 08:44:20 2025 6 relations: 607995
  148. Thu May 22 08:44:20 2025 7 relations: 599267
  149. Thu May 22 08:44:20 2025 8 relations: 567102
  150. Thu May 22 08:44:20 2025 9 relations: 541379
  151. Thu May 22 08:44:20 2025 10+ relations: 3421296
  152. Thu May 22 08:44:20 2025 heaviest cycle: 28 relations
  153. Thu May 22 08:44:43 2025 RelProcTime: 3058
  154. Thu May 22 08:44:43 2025
  155. Thu May 22 08:44:43 2025 commencing linear algebra
  156. Thu May 22 08:44:43 2025 using VBITS=256
  157. Thu May 22 08:44:43 2025 stopping after matrix build
  158. Thu May 22 08:44:43 2025 initialized process (0,0) of 1 x 1 grid
  159. Thu May 22 08:44:44 2025 read 8935667 cycles
  160. Thu May 22 08:45:05 2025 cycles contain 34041283 unique relations
  161. Thu May 22 08:49:48 2025 read 34041283 relations
  162. Thu May 22 08:49:53 2025 using 20 quadratic characters above 4294917295
  163. Thu May 22 08:49:58 2025 building initial matrix
  164. Thu May 22 08:58:49 2025 memory use: 4538.8 MB
  165. Thu May 22 08:58:59 2025 read 8935667 cycles
  166. Thu May 22 08:59:01 2025 matrix is 8935488 x 8935667 (4223.7 MB) with weight 1297005145 (145.15/col)
  167. Thu May 22 08:59:01 2025 sparse part has weight 999983364 (111.91/col)
  168. Thu May 22 09:02:35 2025 filtering completed in 2 passes
  169. Thu May 22 09:02:41 2025 matrix is 8934432 x 8934610 (4223.6 MB) with weight 1296946826 (145.16/col)
  170. Thu May 22 09:02:41 2025 sparse part has weight 999963229 (111.92/col)
  171. Thu May 22 09:03:59 2025 BLanczosTime: 1156
  172. Thu May 22 09:03:59 2025 elapsed time 01:10:16
  173. Thu May 22 14:23:32 2025
  174. Thu May 22 14:23:32 2025
  175. Thu May 22 14:23:32 2025 Msieve v. 1.54 (SVN Unversioned directory)
  176. Thu May 22 14:23:32 2025 random seeds: 15d6b42f bc53cb00
  177. Thu May 22 14:23:32 2025 Using 96 OpenMP threads
  178. Thu May 22 14:23:32 2025 factoring 6287660449938881426645463275088616530095395526763977278899233553470637902235103742882291516876075131628162420415898051024045071156955153156072573469294976042981220361 (166 digits)
  179. Thu May 22 14:23:32 2025 searching for 15-digit factors
  180. Thu May 22 14:23:33 2025 commencing number field sieve (166-digit input)
  181. Thu May 22 14:23:33 2025 R0: -84352502096849333181699119123331
  182. Thu May 22 14:23:33 2025 R1: 17499763770482718553709003
  183. Thu May 22 14:23:33 2025 A0: -312500862181210646933262142198611004800
  184. Thu May 22 14:23:33 2025 A1: -521172053238892605056268030574088
  185. Thu May 22 14:23:33 2025 A2: -83862469025778990527088477
  186. Thu May 22 14:23:33 2025 A3: 125252372268978907856
  187. Thu May 22 14:23:33 2025 A4: 2252583839622
  188. Thu May 22 14:23:33 2025 A5: 393120
  189. Thu May 22 14:23:33 2025 skew 2847481.00, size 3.999e-16, alpha -6.830, combined = 6.600e-13 rroots = 3
  190. Thu May 22 14:23:33 2025
  191. Thu May 22 14:23:33 2025 commencing linear algebra
  192. Thu May 22 14:23:33 2025 using VBITS=256
  193. Thu May 22 14:23:33 2025 skipping matrix build
  194. Thu May 22 14:23:36 2025 matrix starts at (0, 0)
  195. Thu May 22 14:23:38 2025 matrix is 8934432 x 8934610 (4223.6 MB) with weight 1296946826 (145.16/col)
  196. Thu May 22 14:23:38 2025 sparse part has weight 999963229 (111.92/col)
  197. Thu May 22 14:23:38 2025 saving the first 240 matrix rows for later
  198. Thu May 22 14:23:40 2025 matrix includes 256 packed rows
  199. Thu May 22 14:23:45 2025 matrix is 8934192 x 8934610 (3817.9 MB) with weight 915187710 (102.43/col)
  200. Thu May 22 14:23:45 2025 sparse part has weight 857894438 (96.02/col)
  201. Thu May 22 14:23:45 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  202. Thu May 22 14:24:13 2025 commencing Lanczos iteration (96 threads)
  203. Thu May 22 14:24:13 2025 memory use: 5240.3 MB
  204. Thu May 22 14:25:28 2025 linear algebra at 0.3%, ETA 5h48m
  205. Thu May 22 14:26:59 2025 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  206. Thu May 22 19:13:24 2025 lanczos halted after 35005 iterations (dim = 8934190)
  207. Thu May 22 19:14:08 2025 recovered 29 nontrivial dependencies
  208. Thu May 22 19:14:09 2025 BLanczosTime: 17436
  209. Thu May 22 19:14:09 2025
  210. Thu May 22 19:14:09 2025 commencing square root phase
  211. Thu May 22 19:14:09 2025 handling dependencies 1 to 64
  212. Thu May 22 19:14:09 2025 reading relations for dependency 1
  213. Thu May 22 19:14:10 2025 read 4468440 cycles
  214. Thu May 22 19:14:19 2025 cycles contain 17020370 unique relations
  215. Thu May 22 19:20:17 2025 read 17020370 relations
  216. Thu May 22 19:21:53 2025 multiplying 17020370 relations
  217. Thu May 22 19:34:48 2025 multiply complete, coefficients have about 950.69 million bits
  218. Thu May 22 19:34:52 2025 initial square root is modulo 338115311
  219. Thu May 22 19:44:29 2025 GCD is N, no factor found
  220. Thu May 22 19:44:29 2025 reading relations for dependency 2
  221. Thu May 22 19:44:31 2025 read 4468070 cycles
  222. Thu May 22 19:44:43 2025 cycles contain 17027254 unique relations
  223. Thu May 22 19:50:40 2025 read 17027254 relations
  224. Thu May 22 19:52:09 2025 multiplying 17027254 relations
  225. Thu May 22 20:06:35 2025 multiply complete, coefficients have about 951.07 million bits
  226. Thu May 22 20:06:39 2025 initial square root is modulo 340796647
  227. Thu May 22 20:16:25 2025 GCD is 1, no factor found
  228. Thu May 22 20:16:25 2025 reading relations for dependency 3
  229. Thu May 22 20:16:26 2025 read 4468331 cycles
  230. Thu May 22 20:16:38 2025 cycles contain 17020276 unique relations
  231. Thu May 22 20:22:20 2025 read 17020276 relations
  232. Thu May 22 20:24:03 2025 multiplying 17020276 relations
  233. Thu May 22 20:39:00 2025 multiply complete, coefficients have about 950.68 million bits
  234. Thu May 22 20:39:04 2025 initial square root is modulo 338067607
  235. Thu May 22 20:49:02 2025 GCD is 1, no factor found
  236. Thu May 22 20:49:02 2025 reading relations for dependency 4
  237. Thu May 22 20:49:04 2025 read 4466948 cycles
  238. Thu May 22 20:49:18 2025 cycles contain 17016886 unique relations
  239. Thu May 22 20:54:53 2025 read 17016886 relations
  240. Thu May 22 20:56:50 2025 multiplying 17016886 relations
  241. Thu May 22 21:10:14 2025 multiply complete, coefficients have about 950.48 million bits
  242. Thu May 22 21:10:18 2025 initial square root is modulo 336705337
  243. Thu May 22 21:19:43 2025 GCD is 1, no factor found
  244. Thu May 22 21:19:43 2025 reading relations for dependency 5
  245. Thu May 22 21:19:44 2025 read 4469090 cycles
  246. Thu May 22 21:19:58 2025 cycles contain 17023096 unique relations
  247. Thu May 22 21:25:29 2025 read 17023096 relations
  248. Thu May 22 21:27:10 2025 multiplying 17023096 relations
  249. Thu May 22 21:40:31 2025 multiply complete, coefficients have about 950.84 million bits
  250. Thu May 22 21:40:35 2025 initial square root is modulo 339178261
  251. Thu May 22 21:50:25 2025 sqrtTime: 9376
  252. Thu May 22 21:50:25 2025 p62 factor: 32405931645470936984298746856536203371823820055818408466631039
  253. Thu May 22 21:50:25 2025 p105 factor: 194028072351922238074039792136720791410095613645395363730151552491171571660117130305728211451766816852599
  254. Thu May 22 21:50:25 2025 elapsed time 07:26:53
  255.  
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