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Apr 24th, 2024
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  1. Wed Apr 24 17:52:45 2024
  2. Wed Apr 24 17:52:45 2024
  3. Wed Apr 24 17:52:45 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 24 17:52:45 2024 random seeds: f67c6ce4 55adfdf6
  5. Wed Apr 24 17:52:45 2024 Using 32 OpenMP threads
  6. Wed Apr 24 17:52:45 2024 factoring 114252036738609578528070874085692905940690344714413391736121099039563401499387585039343994792068879683933795501967357231984580949889783103424678485801172532727466961 (165 digits)
  7. Wed Apr 24 17:52:46 2024 searching for 15-digit factors
  8. Wed Apr 24 17:52:46 2024 commencing number field sieve (165-digit input)
  9. Wed Apr 24 17:52:46 2024 R0: -90830646708677393349797102095096
  10. Wed Apr 24 17:52:46 2024 R1: 57135845538342511
  11. Wed Apr 24 17:52:46 2024 A0: 17091784023217286783948861515529073840135
  12. Wed Apr 24 17:52:46 2024 A1: 8602511659101638852225323717681239
  13. Wed Apr 24 17:52:46 2024 A2: 1700317007477428829678256023
  14. Wed Apr 24 17:52:46 2024 A3: 36609602101175566417
  15. Wed Apr 24 17:52:46 2024 A4: -3231929518198
  16. Wed Apr 24 17:52:46 2024 A5: 18480
  17. Wed Apr 24 17:52:46 2024 skew 25027303.63, size 5.885e-16, alpha -7.587, combined = 8.264e-13 rroots = 3
  18. Wed Apr 24 17:52:46 2024
  19. Wed Apr 24 17:52:46 2024 commencing relation filtering
  20. Wed Apr 24 17:52:46 2024 setting target matrix density to 140.0
  21. Wed Apr 24 17:52:46 2024 estimated available RAM is 515996.3 MB
  22. Wed Apr 24 17:52:46 2024 commencing duplicate removal, pass 1
  23. Wed Apr 24 17:54:06 2024 error -15 reading relation 44376790
  24. Wed Apr 24 17:54:06 2024 error -1 reading relation 44376791
  25. Wed Apr 24 17:54:28 2024 error -11 reading relation 56705441
  26. Wed Apr 24 17:55:15 2024 error -1 reading relation 82352287
  27. Wed Apr 24 17:57:20 2024 error -1 reading relation 153670376
  28. Wed Apr 24 17:57:20 2024 error -1 reading relation 153918981
  29. Wed Apr 24 17:57:24 2024 error -1 reading relation 156179419
  30. Wed Apr 24 17:57:24 2024 error -5 reading relation 156268257
  31. Wed Apr 24 17:57:43 2024 error -1 reading relation 167417707
  32. Wed Apr 24 17:57:43 2024 error -1 reading relation 167427929
  33. Wed Apr 24 17:58:29 2024 error -1 reading relation 193541134
  34. Wed Apr 24 17:58:50 2024 error -1 reading relation 205948906
  35. Wed Apr 24 17:58:50 2024 error -1 reading relation 205979152
  36. Wed Apr 24 17:58:50 2024 error -1 reading relation 206112317
  37. Wed Apr 24 17:58:56 2024 error -1 reading relation 209209799
  38. Wed Apr 24 17:59:25 2024 error -1 reading relation 226164755
  39. Wed Apr 24 17:59:31 2024 error -1 reading relation 229328499
  40. Wed Apr 24 17:59:34 2024 skipped 71 malformed relations
  41. Wed Apr 24 17:59:34 2024 found 41921835 hash collisions in 230799490 relations
  42. Wed Apr 24 17:59:57 2024 commencing duplicate removal, pass 2
  43. Wed Apr 24 18:04:38 2024 found 39254046 duplicates and 191545444 unique relations
  44. Wed Apr 24 18:04:38 2024 memory use: 1321.5 MB
  45. Wed Apr 24 18:04:38 2024 reading ideals above 720000
  46. Wed Apr 24 18:04:38 2024 commencing singleton removal, initial pass
  47. Wed Apr 24 18:16:14 2024 memory use: 5512.0 MB
  48. Wed Apr 24 18:16:14 2024 reading all ideals from disk
  49. Wed Apr 24 18:16:18 2024 memory use: 8658.8 MB
  50. Wed Apr 24 18:16:40 2024 keeping 190591337 ideals with weight <= 200, target excess is 1011859
  51. Wed Apr 24 18:17:08 2024 commencing in-memory singleton removal
  52. Wed Apr 24 18:17:11 2024 begin with 191545444 relations and 190591337 unique ideals
  53. Wed Apr 24 18:17:26 2024 reduce to 87472038 relations and 72600143 ideals in 19 passes
  54. Wed Apr 24 18:17:26 2024 max relations containing the same ideal: 124
  55. Wed Apr 24 18:18:01 2024 removing 11616918 relations and 9616918 ideals in 2000000 cliques
  56. Wed Apr 24 18:18:06 2024 commencing in-memory singleton removal
  57. Wed Apr 24 18:18:07 2024 begin with 75855120 relations and 72600143 unique ideals
  58. Wed Apr 24 18:18:13 2024 reduce to 74724338 relations and 61820284 ideals in 11 passes
  59. Wed Apr 24 18:18:13 2024 max relations containing the same ideal: 110
  60. Wed Apr 24 18:18:43 2024 removing 8826747 relations and 6826747 ideals in 2000000 cliques
  61. Wed Apr 24 18:18:47 2024 commencing in-memory singleton removal
  62. Wed Apr 24 18:18:48 2024 begin with 65897591 relations and 61820284 unique ideals
  63. Wed Apr 24 18:18:51 2024 reduce to 65108280 relations and 54183067 ideals in 8 passes
  64. Wed Apr 24 18:18:51 2024 max relations containing the same ideal: 100
  65. Wed Apr 24 18:19:16 2024 removing 8003511 relations and 6003511 ideals in 2000000 cliques
  66. Wed Apr 24 18:19:19 2024 commencing in-memory singleton removal
  67. Wed Apr 24 18:19:20 2024 begin with 57104769 relations and 54183067 unique ideals
  68. Wed Apr 24 18:19:23 2024 reduce to 56372875 relations and 47426431 ideals in 8 passes
  69. Wed Apr 24 18:19:23 2024 max relations containing the same ideal: 93
  70. Wed Apr 24 18:19:46 2024 removing 7594462 relations and 5594462 ideals in 2000000 cliques
  71. Wed Apr 24 18:19:49 2024 commencing in-memory singleton removal
  72. Wed Apr 24 18:19:49 2024 begin with 48778413 relations and 47426431 unique ideals
  73. Wed Apr 24 18:19:52 2024 reduce to 48037559 relations and 41067582 ideals in 9 passes
  74. Wed Apr 24 18:19:52 2024 max relations containing the same ideal: 84
  75. Wed Apr 24 18:20:10 2024 removing 7351884 relations and 5351884 ideals in 2000000 cliques
  76. Wed Apr 24 18:20:13 2024 commencing in-memory singleton removal
  77. Wed Apr 24 18:20:13 2024 begin with 40685675 relations and 41067582 unique ideals
  78. Wed Apr 24 18:20:15 2024 reduce to 39895817 relations and 34896581 ideals in 8 passes
  79. Wed Apr 24 18:20:15 2024 max relations containing the same ideal: 74
  80. Wed Apr 24 18:20:31 2024 removing 7191282 relations and 5191282 ideals in 2000000 cliques
  81. Wed Apr 24 18:20:34 2024 commencing in-memory singleton removal
  82. Wed Apr 24 18:20:34 2024 begin with 32704535 relations and 34896581 unique ideals
  83. Wed Apr 24 18:20:36 2024 reduce to 31819755 relations and 28781517 ideals in 9 passes
  84. Wed Apr 24 18:20:36 2024 max relations containing the same ideal: 62
  85. Wed Apr 24 18:20:49 2024 removing 6696556 relations and 4832075 ideals in 1864481 cliques
  86. Wed Apr 24 18:20:52 2024 commencing in-memory singleton removal
  87. Wed Apr 24 18:20:52 2024 begin with 25123199 relations and 28781517 unique ideals
  88. Wed Apr 24 18:20:53 2024 reduce to 24173334 relations and 22950061 ideals in 9 passes
  89. Wed Apr 24 18:20:53 2024 max relations containing the same ideal: 55
  90. Wed Apr 24 18:21:03 2024 removing 363854 relations and 314338 ideals in 49516 cliques
  91. Wed Apr 24 18:21:04 2024 commencing in-memory singleton removal
  92. Wed Apr 24 18:21:04 2024 begin with 23809480 relations and 22950061 unique ideals
  93. Wed Apr 24 18:21:04 2024 reduce to 23806402 relations and 22632639 ideals in 6 passes
  94. Wed Apr 24 18:21:04 2024 max relations containing the same ideal: 54
  95. Wed Apr 24 18:21:07 2024 relations with 0 large ideals: 3276
  96. Wed Apr 24 18:21:07 2024 relations with 1 large ideals: 44755
  97. Wed Apr 24 18:21:07 2024 relations with 2 large ideals: 503002
  98. Wed Apr 24 18:21:07 2024 relations with 3 large ideals: 2288117
  99. Wed Apr 24 18:21:07 2024 relations with 4 large ideals: 5310921
  100. Wed Apr 24 18:21:07 2024 relations with 5 large ideals: 6927870
  101. Wed Apr 24 18:21:07 2024 relations with 6 large ideals: 5391575
  102. Wed Apr 24 18:21:07 2024 relations with 7+ large ideals: 3336886
  103. Wed Apr 24 18:21:07 2024 commencing 2-way merge
  104. Wed Apr 24 18:21:20 2024 reduce to 14318608 relation sets and 13144845 unique ideals
  105. Wed Apr 24 18:21:20 2024 commencing full merge
  106. Wed Apr 24 18:26:33 2024 memory use: 1637.0 MB
  107. Wed Apr 24 18:26:34 2024 found 6151496 cycles, need 6125045
  108. Wed Apr 24 18:26:36 2024 weight of 6125045 cycles is about 857558392 (140.01/cycle)
  109. Wed Apr 24 18:26:36 2024 distribution of cycle lengths:
  110. Wed Apr 24 18:26:36 2024 1 relations: 180047
  111. Wed Apr 24 18:26:36 2024 2 relations: 303946
  112. Wed Apr 24 18:26:36 2024 3 relations: 361929
  113. Wed Apr 24 18:26:36 2024 4 relations: 383364
  114. Wed Apr 24 18:26:36 2024 5 relations: 399252
  115. Wed Apr 24 18:26:36 2024 6 relations: 397707
  116. Wed Apr 24 18:26:36 2024 7 relations: 399752
  117. Wed Apr 24 18:26:36 2024 8 relations: 388439
  118. Wed Apr 24 18:26:36 2024 9 relations: 374539
  119. Wed Apr 24 18:26:36 2024 10+ relations: 2936070
  120. Wed Apr 24 18:26:36 2024 heaviest cycle: 28 relations
  121. Wed Apr 24 18:26:38 2024 commencing cycle optimization
  122. Wed Apr 24 18:26:49 2024 start with 61978861 relations
  123. Wed Apr 24 18:29:02 2024 pruned 2877789 relations
  124. Wed Apr 24 18:29:02 2024 memory use: 1603.0 MB
  125. Wed Apr 24 18:29:02 2024 distribution of cycle lengths:
  126. Wed Apr 24 18:29:02 2024 1 relations: 180047
  127. Wed Apr 24 18:29:02 2024 2 relations: 312107
  128. Wed Apr 24 18:29:02 2024 3 relations: 377916
  129. Wed Apr 24 18:29:02 2024 4 relations: 399484
  130. Wed Apr 24 18:29:02 2024 5 relations: 418667
  131. Wed Apr 24 18:29:02 2024 6 relations: 417839
  132. Wed Apr 24 18:29:02 2024 7 relations: 421189
  133. Wed Apr 24 18:29:02 2024 8 relations: 408682
  134. Wed Apr 24 18:29:02 2024 9 relations: 393987
  135. Wed Apr 24 18:29:02 2024 10+ relations: 2795127
  136. Wed Apr 24 18:29:02 2024 heaviest cycle: 28 relations
  137. Wed Apr 24 18:29:11 2024 RelProcTime: 2185
  138. Wed Apr 24 18:29:11 2024 elapsed time 00:36:26
  139. Wed Apr 24 18:54:27 2024
  140. Wed Apr 24 18:54:27 2024
  141. Wed Apr 24 18:54:27 2024 Msieve v. 1.54 (SVN Unversioned directory)
  142. Wed Apr 24 18:54:27 2024 random seeds: b4d603fd 37f32d89
  143. Wed Apr 24 18:54:27 2024 Using 64 OpenMP threads
  144. Wed Apr 24 18:54:27 2024 factoring 114252036738609578528070874085692905940690344714413391736121099039563401499387585039343994792068879683933795501967357231984580949889783103424678485801172532727466961 (165 digits)
  145. Wed Apr 24 18:54:28 2024 searching for 15-digit factors
  146. Wed Apr 24 18:54:28 2024 commencing number field sieve (165-digit input)
  147. Wed Apr 24 18:54:28 2024 R0: -90830646708677393349797102095096
  148. Wed Apr 24 18:54:28 2024 R1: 57135845538342511
  149. Wed Apr 24 18:54:28 2024 A0: 17091784023217286783948861515529073840135
  150. Wed Apr 24 18:54:28 2024 A1: 8602511659101638852225323717681239
  151. Wed Apr 24 18:54:28 2024 A2: 1700317007477428829678256023
  152. Wed Apr 24 18:54:28 2024 A3: 36609602101175566417
  153. Wed Apr 24 18:54:28 2024 A4: -3231929518198
  154. Wed Apr 24 18:54:28 2024 A5: 18480
  155. Wed Apr 24 18:54:28 2024 skew 25027303.63, size 5.885e-16, alpha -7.587, combined = 8.264e-13 rroots = 3
  156. Wed Apr 24 18:54:28 2024
  157. Wed Apr 24 18:54:28 2024 commencing linear algebra
  158. Wed Apr 24 18:54:28 2024 using VBITS=256
  159. Wed Apr 24 18:54:29 2024 read 6125045 cycles
  160. Wed Apr 24 18:54:39 2024 cycles contain 23072026 unique relations
  161. Wed Apr 24 18:58:06 2024 read 23072026 relations
  162. Wed Apr 24 18:58:07 2024 using 20 quadratic characters above 4294917295
  163. Wed Apr 24 18:58:09 2024 building initial matrix
  164. Wed Apr 24 19:02:32 2024 memory use: 3177.6 MB
  165. Wed Apr 24 19:02:35 2024 read 6125045 cycles
  166. Wed Apr 24 19:02:36 2024 matrix is 6124866 x 6125045 (3299.2 MB) with weight 998147588 (162.96/col)
  167. Wed Apr 24 19:02:36 2024 sparse part has weight 791370973 (129.20/col)
  168. Wed Apr 24 19:03:46 2024 filtering completed in 2 passes
  169. Wed Apr 24 19:03:47 2024 matrix is 6124755 x 6124934 (3299.2 MB) with weight 998141746 (162.96/col)
  170. Wed Apr 24 19:03:47 2024 sparse part has weight 791369197 (129.20/col)
  171. Wed Apr 24 19:04:06 2024 matrix starts at (0, 0)
  172. Wed Apr 24 19:04:07 2024 matrix is 6124755 x 6124934 (3299.2 MB) with weight 998141746 (162.96/col)
  173. Wed Apr 24 19:04:07 2024 sparse part has weight 791369197 (129.20/col)
  174. Wed Apr 24 19:04:07 2024 saving the first 240 matrix rows for later
  175. Wed Apr 24 19:04:09 2024 matrix includes 256 packed rows
  176. Wed Apr 24 19:04:10 2024 matrix is 6124515 x 6124934 (2942.1 MB) with weight 720673793 (117.66/col)
  177. Wed Apr 24 19:04:10 2024 sparse part has weight 673257160 (109.92/col)
  178. Wed Apr 24 19:04:10 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  179. Wed Apr 24 19:04:24 2024 commencing Lanczos iteration (64 threads)
  180. Wed Apr 24 19:04:24 2024 memory use: 3877.6 MB
  181. Wed Apr 24 19:06:51 2024 linear algebra at 0.5%, ETA 8h 0m
  182. Wed Apr 24 19:08:18 2024 checking every 10000 dimensions, checkpointing every 1200000 dimensions
  183. Wed Apr 24 22:18:14 2024 lanczos halted after 23997 iterations (dim = 6124514)
  184. Wed Apr 24 22:18:39 2024 recovered 29 nontrivial dependencies
  185. Wed Apr 24 22:18:39 2024 BLanczosTime: 12251
  186. Wed Apr 24 22:18:39 2024
  187. Wed Apr 24 22:18:39 2024 commencing square root phase
  188. Wed Apr 24 22:18:39 2024 reading relations for dependency 1
  189. Wed Apr 24 22:18:40 2024 read 3064336 cycles
  190. Wed Apr 24 22:18:45 2024 cycles contain 11538270 unique relations
  191. Wed Apr 24 22:22:00 2024 read 11538270 relations
  192. Wed Apr 24 22:22:37 2024 multiplying 11538270 relations
  193. Wed Apr 24 22:27:27 2024 multiply complete, coefficients have about 605.53 million bits
  194. Wed Apr 24 22:27:29 2024 initial square root is modulo 270737
  195. Wed Apr 24 22:30:40 2024 sqrtTime: 721
  196. Wed Apr 24 22:30:40 2024 p81 factor: 657062219932943603053546194598853405822216618602521757648266575649310087735558201
  197. Wed Apr 24 22:30:40 2024 p84 factor: 173883132027084976597150447950190659579173029867466640710041845317864277635464476761
  198. Wed Apr 24 22:30:40 2024 elapsed time 03:36:13
  199.  
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