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Apr 22nd, 2025
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  1. Mon Apr 21 20:22:45 2025
  2. Mon Apr 21 20:22:45 2025
  3. Mon Apr 21 20:22:45 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Apr 21 20:22:45 2025 random seeds: 46b39300 bb717876
  5. Mon Apr 21 20:22:45 2025 MPI process 0 of 1
  6. Mon Apr 21 20:22:45 2025 Using 64 OpenMP threads
  7. Mon Apr 21 20:22:45 2025 factoring 34257152724443903376237065363365029262939362597403884853109428628461524654751153245314455618825500982384934106791425829369843717265353308526517840216113966257891 (161 digits)
  8. Mon Apr 21 20:22:46 2025 searching for 15-digit factors
  9. Mon Apr 21 20:22:46 2025 commencing number field sieve (161-digit input)
  10. Mon Apr 21 20:22:46 2025 R0: -12996184659729594864036436206102
  11. Mon Apr 21 20:22:46 2025 R1: 58652753280108767
  12. Mon Apr 21 20:22:46 2025 A0: 1352429387484175542568653311601377526401
  13. Mon Apr 21 20:22:46 2025 A1: 288855913488975990824529013965080
  14. Mon Apr 21 20:22:46 2025 A2: 89119096568281523649206251
  15. Mon Apr 21 20:22:46 2025 A3: -19219593869148233456
  16. Mon Apr 21 20:22:46 2025 A4: -3531152594148
  17. Mon Apr 21 20:22:46 2025 A5: 92400
  18. Mon Apr 21 20:22:46 2025 skew 9377859.88, size 1.098e-15, alpha -7.016, combined = 1.197e-12 rroots = 3
  19. Mon Apr 21 20:22:46 2025
  20. Mon Apr 21 20:22:46 2025 commencing relation filtering
  21. Mon Apr 21 20:22:46 2025 setting target matrix density to 120.0
  22. Mon Apr 21 20:22:46 2025 estimated available RAM is 257736.5 MB
  23. Mon Apr 21 20:22:46 2025 commencing duplicate removal, pass 1
  24. Mon Apr 21 20:23:28 2025 error -1 reading relation 26919173
  25. Mon Apr 21 20:23:39 2025 error -1 reading relation 32743471
  26. Mon Apr 21 20:24:10 2025 error -1 reading relation 50992665
  27. Mon Apr 21 20:24:20 2025 error -1 reading relation 58042141
  28. Mon Apr 21 20:24:34 2025 error -1 reading relation 66209796
  29. Mon Apr 21 20:25:00 2025 error -1 reading relation 82217218
  30. Mon Apr 21 20:25:14 2025 error -1 reading relation 91060351
  31. Mon Apr 21 20:25:23 2025 error -1 reading relation 97169970
  32. Mon Apr 21 20:25:24 2025 error -1 reading relation 98031077
  33. Mon Apr 21 20:25:24 2025 error -1 reading relation 98183989
  34. Mon Apr 21 20:25:38 2025 error -1 reading relation 106875722
  35. Mon Apr 21 20:25:46 2025 error -1 reading relation 111688792
  36. Mon Apr 21 20:25:47 2025 error -1 reading relation 111948392
  37. Mon Apr 21 20:25:47 2025 error -1 reading relation 112207666
  38. Mon Apr 21 20:25:57 2025 skipped 80 malformed relations
  39. Mon Apr 21 20:25:57 2025 found 22011906 hash collisions in 118190582 relations
  40. Mon Apr 21 20:26:19 2025 added 121595 free relations
  41. Mon Apr 21 20:26:19 2025 commencing duplicate removal, pass 2
  42. Mon Apr 21 20:28:44 2025 found 20963255 duplicates and 97348922 unique relations
  43. Mon Apr 21 20:28:44 2025 memory use: 660.8 MB
  44. Mon Apr 21 20:28:44 2025 reading ideals above 720000
  45. Mon Apr 21 20:28:45 2025 commencing singleton removal, initial pass
  46. Mon Apr 21 20:34:06 2025 memory use: 2756.0 MB
  47. Mon Apr 21 20:34:06 2025 reading all ideals from disk
  48. Mon Apr 21 20:34:08 2025 memory use: 4387.4 MB
  49. Mon Apr 21 20:34:17 2025 keeping 89387019 ideals with weight <= 200, target excess is 509586
  50. Mon Apr 21 20:34:27 2025 commencing in-memory singleton removal
  51. Mon Apr 21 20:34:28 2025 begin with 97348922 relations and 89387019 unique ideals
  52. Mon Apr 21 20:34:34 2025 reduce to 61806741 relations and 50101064 ideals in 14 passes
  53. Mon Apr 21 20:34:34 2025 max relations containing the same ideal: 157
  54. Mon Apr 21 20:34:58 2025 removing 8933293 relations and 6933293 ideals in 2000000 cliques
  55. Mon Apr 21 20:35:00 2025 commencing in-memory singleton removal
  56. Mon Apr 21 20:35:01 2025 begin with 52873448 relations and 50101064 unique ideals
  57. Mon Apr 21 20:35:04 2025 reduce to 51886437 relations and 42141885 ideals in 9 passes
  58. Mon Apr 21 20:35:04 2025 max relations containing the same ideal: 140
  59. Mon Apr 21 20:35:21 2025 removing 7035931 relations and 5035931 ideals in 2000000 cliques
  60. Mon Apr 21 20:35:24 2025 commencing in-memory singleton removal
  61. Mon Apr 21 20:35:25 2025 begin with 44850506 relations and 42141885 unique ideals
  62. Mon Apr 21 20:35:27 2025 reduce to 44134960 relations and 36363747 ideals in 9 passes
  63. Mon Apr 21 20:35:27 2025 max relations containing the same ideal: 126
  64. Mon Apr 21 20:35:42 2025 removing 6530160 relations and 4530160 ideals in 2000000 cliques
  65. Mon Apr 21 20:35:44 2025 commencing in-memory singleton removal
  66. Mon Apr 21 20:35:44 2025 begin with 37604800 relations and 36363747 unique ideals
  67. Mon Apr 21 20:35:45 2025 reduce to 36924012 relations and 31125006 ideals in 8 passes
  68. Mon Apr 21 20:35:45 2025 max relations containing the same ideal: 111
  69. Mon Apr 21 20:35:59 2025 removing 6281343 relations and 4281343 ideals in 2000000 cliques
  70. Mon Apr 21 20:36:01 2025 commencing in-memory singleton removal
  71. Mon Apr 21 20:36:01 2025 begin with 30642669 relations and 31125006 unique ideals
  72. Mon Apr 21 20:36:02 2025 reduce to 29933691 relations and 26101019 ideals in 8 passes
  73. Mon Apr 21 20:36:02 2025 max relations containing the same ideal: 97
  74. Mon Apr 21 20:36:13 2025 removing 6133057 relations and 4133057 ideals in 2000000 cliques
  75. Mon Apr 21 20:36:15 2025 commencing in-memory singleton removal
  76. Mon Apr 21 20:36:16 2025 begin with 23800634 relations and 26101019 unique ideals
  77. Mon Apr 21 20:36:17 2025 reduce to 22999708 relations and 21120009 ideals in 8 passes
  78. Mon Apr 21 20:36:17 2025 max relations containing the same ideal: 83
  79. Mon Apr 21 20:36:27 2025 removing 4239436 relations and 2950857 ideals in 1288579 cliques
  80. Mon Apr 21 20:36:29 2025 commencing in-memory singleton removal
  81. Mon Apr 21 20:36:29 2025 begin with 18760272 relations and 21120009 unique ideals
  82. Mon Apr 21 20:36:30 2025 reduce to 18253107 relations and 17636637 ideals in 8 passes
  83. Mon Apr 21 20:36:30 2025 max relations containing the same ideal: 71
  84. Mon Apr 21 20:36:37 2025 removing 165988 relations and 140638 ideals in 25350 cliques
  85. Mon Apr 21 20:36:38 2025 commencing in-memory singleton removal
  86. Mon Apr 21 20:36:38 2025 begin with 18087119 relations and 17636637 unique ideals
  87. Mon Apr 21 20:36:39 2025 reduce to 18086213 relations and 17495091 ideals in 6 passes
  88. Mon Apr 21 20:36:39 2025 max relations containing the same ideal: 71
  89. Mon Apr 21 20:36:41 2025 relations with 0 large ideals: 1624
  90. Mon Apr 21 20:36:41 2025 relations with 1 large ideals: 9282
  91. Mon Apr 21 20:36:41 2025 relations with 2 large ideals: 128442
  92. Mon Apr 21 20:36:41 2025 relations with 3 large ideals: 764127
  93. Mon Apr 21 20:36:41 2025 relations with 4 large ideals: 2393415
  94. Mon Apr 21 20:36:41 2025 relations with 5 large ideals: 4391887
  95. Mon Apr 21 20:36:41 2025 relations with 6 large ideals: 4969707
  96. Mon Apr 21 20:36:41 2025 relations with 7+ large ideals: 5427729
  97. Mon Apr 21 20:36:41 2025 commencing 2-way merge
  98. Mon Apr 21 20:36:51 2025 reduce to 11824441 relation sets and 11233319 unique ideals
  99. Mon Apr 21 20:36:51 2025 commencing full merge
  100. Mon Apr 21 20:40:35 2025 memory use: 1443.6 MB
  101. Mon Apr 21 20:40:35 2025 found 5357537 cycles, need 5311519
  102. Mon Apr 21 20:40:37 2025 weight of 5311519 cycles is about 638175336 (120.15/cycle)
  103. Mon Apr 21 20:40:37 2025 distribution of cycle lengths:
  104. Mon Apr 21 20:40:37 2025 1 relations: 158827
  105. Mon Apr 21 20:40:37 2025 2 relations: 303679
  106. Mon Apr 21 20:40:37 2025 3 relations: 376459
  107. Mon Apr 21 20:40:37 2025 4 relations: 398070
  108. Mon Apr 21 20:40:37 2025 5 relations: 415413
  109. Mon Apr 21 20:40:37 2025 6 relations: 413292
  110. Mon Apr 21 20:40:37 2025 7 relations: 407763
  111. Mon Apr 21 20:40:37 2025 8 relations: 387293
  112. Mon Apr 21 20:40:37 2025 9 relations: 360537
  113. Mon Apr 21 20:40:37 2025 10+ relations: 2090186
  114. Mon Apr 21 20:40:37 2025 heaviest cycle: 28 relations
  115. Mon Apr 21 20:40:38 2025 commencing cycle optimization
  116. Mon Apr 21 20:40:47 2025 start with 46797817 relations
  117. Mon Apr 21 20:42:20 2025 pruned 2252990 relations
  118. Mon Apr 21 20:42:20 2025 memory use: 1231.3 MB
  119. Mon Apr 21 20:42:20 2025 distribution of cycle lengths:
  120. Mon Apr 21 20:42:20 2025 1 relations: 158827
  121. Mon Apr 21 20:42:20 2025 2 relations: 312885
  122. Mon Apr 21 20:42:20 2025 3 relations: 394671
  123. Mon Apr 21 20:42:20 2025 4 relations: 417099
  124. Mon Apr 21 20:42:20 2025 5 relations: 438768
  125. Mon Apr 21 20:42:20 2025 6 relations: 436254
  126. Mon Apr 21 20:42:20 2025 7 relations: 430550
  127. Mon Apr 21 20:42:20 2025 8 relations: 406862
  128. Mon Apr 21 20:42:20 2025 9 relations: 377574
  129. Mon Apr 21 20:42:20 2025 10+ relations: 1938029
  130. Mon Apr 21 20:42:20 2025 heaviest cycle: 27 relations
  131. Mon Apr 21 20:42:28 2025 RelProcTime: 1182
  132. Mon Apr 21 20:42:28 2025
  133. Mon Apr 21 20:42:28 2025 commencing linear algebra
  134. Mon Apr 21 20:42:28 2025 using VBITS=256
  135. Mon Apr 21 20:42:28 2025 initialized process (0,0) of 1 x 1 grid
  136. Mon Apr 21 20:42:28 2025 read 5311519 cycles
  137. Mon Apr 21 20:42:38 2025 cycles contain 17771453 unique relations
  138. Mon Apr 21 20:44:31 2025 read 17771453 relations
  139. Mon Apr 21 20:44:32 2025 using 20 quadratic characters above 4294917295
  140. Mon Apr 21 20:44:34 2025 building initial matrix
  141. Mon Apr 21 20:48:32 2025 memory use: 2481.7 MB
  142. Mon Apr 21 20:48:36 2025 read 5311519 cycles
  143. Mon Apr 21 20:48:37 2025 matrix is 5311341 x 5311519 (2482.1 MB) with weight 760724552 (143.22/col)
  144. Mon Apr 21 20:48:37 2025 sparse part has weight 592234985 (111.50/col)
  145. Mon Apr 21 20:49:29 2025 filtering completed in 2 passes
  146. Mon Apr 21 20:49:30 2025 matrix is 5311142 x 5311318 (2482.1 MB) with weight 760713483 (143.22/col)
  147. Mon Apr 21 20:49:30 2025 sparse part has weight 592230363 (111.50/col)
  148. Mon Apr 21 20:50:01 2025 matrix starts at (0, 0)
  149. Mon Apr 21 20:50:01 2025 matrix is 5311142 x 5311318 (2482.1 MB) with weight 760713483 (143.22/col)
  150. Mon Apr 21 20:50:01 2025 sparse part has weight 592230363 (111.50/col)
  151. Mon Apr 21 20:50:01 2025 saving the first 240 matrix rows for later
  152. Mon Apr 21 20:50:02 2025 matrix includes 256 packed rows
  153. Mon Apr 21 20:50:04 2025 matrix is 5310902 x 5311318 (2246.9 MB) with weight 538440445 (101.38/col)
  154. Mon Apr 21 20:50:04 2025 sparse part has weight 504033257 (94.90/col)
  155. Mon Apr 21 20:50:04 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  156. Mon Apr 21 20:50:15 2025 commencing Lanczos iteration (64 threads)
  157. Mon Apr 21 20:50:15 2025 memory use: 3249.0 MB
  158. Mon Apr 21 20:51:01 2025 linear algebra at 0.6%, ETA 2h 9m
  159. Mon Apr 21 20:52:12 2025 checking every 30000 dimensions, checkpointing every 2400000 dimensions
  160. Mon Apr 21 23:00:55 2025 lanczos halted after 20810 iterations (dim = 5310901)
  161. Mon Apr 21 23:01:17 2025 recovered 28 nontrivial dependencies
  162. Mon Apr 21 23:01:17 2025 BLanczosTime: 8329
  163. Mon Apr 21 23:01:17 2025
  164. Mon Apr 21 23:01:17 2025 commencing square root phase
  165. Mon Apr 21 23:01:17 2025 handling dependencies 1 to 64
  166. Mon Apr 21 23:01:17 2025 reading relations for dependency 1
  167. Mon Apr 21 23:01:17 2025 read 2655452 cycles
  168. Mon Apr 21 23:01:21 2025 cycles contain 8886346 unique relations
  169. Mon Apr 21 23:02:59 2025 read 8886346 relations
  170. Mon Apr 21 23:03:28 2025 multiplying 8886346 relations
  171. Mon Apr 21 23:04:28 2025 multiply complete, coefficients have about 477.22 million bits
  172. Mon Apr 21 23:04:29 2025 initial square root is modulo 365486279
  173. Mon Apr 21 23:07:44 2025 Newton iteration failed to converge
  174. Mon Apr 21 23:07:45 2025 algebraic square root failed
  175. Mon Apr 21 23:07:45 2025 reading relations for dependency 2
  176. Mon Apr 21 23:07:45 2025 read 2655864 cycles
  177. Mon Apr 21 23:07:50 2025 cycles contain 8884314 unique relations
  178. Mon Apr 21 23:09:39 2025 read 8884314 relations
  179. Mon Apr 21 23:10:34 2025 multiplying 8884314 relations
  180. Mon Apr 21 23:11:26 2025 multiply complete, coefficients have about 477.11 million bits
  181. Mon Apr 21 23:11:27 2025 initial square root is modulo 363827227
  182. Mon Apr 21 23:14:30 2025 GCD is N, no factor found
  183. Mon Apr 21 23:14:30 2025 reading relations for dependency 3
  184. Mon Apr 21 23:14:30 2025 read 2655236 cycles
  185. Mon Apr 21 23:14:34 2025 cycles contain 8882448 unique relations
  186. Mon Apr 21 23:16:15 2025 read 8882448 relations
  187. Mon Apr 21 23:16:49 2025 multiplying 8882448 relations
  188. Mon Apr 21 23:17:46 2025 multiply complete, coefficients have about 477.01 million bits
  189. Mon Apr 21 23:17:47 2025 initial square root is modulo 362332643
  190. Mon Apr 21 23:20:49 2025 sqrtTime: 1172
  191. Mon Apr 21 23:20:49 2025 p53 factor: 66825717133823840933670963151975097906000637681763931
  192. Mon Apr 21 23:20:49 2025 p108 factor: 512634270064640179797219917724913093647750913967931633592052979311629465188105849733372687003036120644315161
  193. Mon Apr 21 23:20:49 2025 elapsed time 02:58:04
  194.  
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