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Sep 17th, 2024
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  1. Sun Sep 15 11:58:56 2024
  2. Sun Sep 15 11:58:56 2024
  3. Sun Sep 15 11:58:56 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 15 11:58:56 2024 random seeds: 3e99b583 62b561bc
  5. Sun Sep 15 11:58:56 2024 MPI process 0 of 1
  6. Sun Sep 15 11:58:56 2024 Using 16 OpenMP threads
  7. Sun Sep 15 11:58:56 2024 factoring 430484621853671060674070070491123576686164786878477366801026326409234253676981707258564601004031085715856414186708927651027718895316857604111242540925442109939 (159 digits)
  8. Sun Sep 15 11:58:56 2024 searching for 15-digit factors
  9. Sun Sep 15 11:58:57 2024 commencing number field sieve (159-digit input)
  10. Sun Sep 15 11:58:57 2024 R0: -5769826949535387010742747948215
  11. Sun Sep 15 11:58:57 2024 R1: 194824687106045549
  12. Sun Sep 15 11:58:57 2024 A0: -1869880623628437266193927746718313789224
  13. Sun Sep 15 11:58:57 2024 A1: 804829936002853130546539070153736
  14. Sun Sep 15 11:58:57 2024 A2: 192786727526523146667388879
  15. Sun Sep 15 11:58:57 2024 A3: -91750972988502451534
  16. Sun Sep 15 11:58:57 2024 A4: -1858100218902
  17. Sun Sep 15 11:58:57 2024 A5: 67320
  18. Sun Sep 15 11:58:57 2024 skew 10878085.87, size 1.720e-15, alpha -7.719, combined = 1.537e-12 rroots = 3
  19. Sun Sep 15 11:58:57 2024
  20. Sun Sep 15 11:58:57 2024 commencing relation filtering
  21. Sun Sep 15 11:58:57 2024 setting target matrix density to 120.0
  22. Sun Sep 15 11:58:57 2024 estimated available RAM is 257736.5 MB
  23. Sun Sep 15 11:58:57 2024 commencing duplicate removal, pass 1
  24. Sun Sep 15 12:00:20 2024 error -1 reading relation 38321783
  25. Sun Sep 15 12:00:20 2024 error -1 reading relation 38535531
  26. Sun Sep 15 12:00:24 2024 error -1 reading relation 40291402
  27. Sun Sep 15 12:00:33 2024 error -1 reading relation 44700286
  28. Sun Sep 15 12:02:29 2024 error -1 reading relation 95142045
  29. Sun Sep 15 12:02:29 2024 error -1 reading relation 95370550
  30. Sun Sep 15 12:02:30 2024 error -1 reading relation 95511712
  31. Sun Sep 15 12:02:30 2024 error -1 reading relation 95818958
  32. Sun Sep 15 12:03:43 2024 skipped 71 malformed relations
  33. Sun Sep 15 12:03:43 2024 found 21359606 hash collisions in 128806745 relations
  34. Sun Sep 15 12:04:14 2024 added 122001 free relations
  35. Sun Sep 15 12:04:14 2024 commencing duplicate removal, pass 2
  36. Sun Sep 15 12:06:41 2024 found 21197767 duplicates and 107730979 unique relations
  37. Sun Sep 15 12:06:41 2024 memory use: 788.8 MB
  38. Sun Sep 15 12:06:41 2024 reading ideals above 720000
  39. Sun Sep 15 12:06:41 2024 commencing singleton removal, initial pass
  40. Sun Sep 15 12:12:56 2024 memory use: 2756.0 MB
  41. Sun Sep 15 12:12:56 2024 reading all ideals from disk
  42. Sun Sep 15 12:12:58 2024 memory use: 4806.7 MB
  43. Sun Sep 15 12:13:09 2024 keeping 91409804 ideals with weight <= 200, target excess is 559787
  44. Sun Sep 15 12:13:21 2024 commencing in-memory singleton removal
  45. Sun Sep 15 12:13:23 2024 begin with 107730979 relations and 91409804 unique ideals
  46. Sun Sep 15 12:13:31 2024 reduce to 75235904 relations and 56002688 ideals in 11 passes
  47. Sun Sep 15 12:13:31 2024 max relations containing the same ideal: 166
  48. Sun Sep 15 12:13:55 2024 removing 8109494 relations and 6109494 ideals in 2000000 cliques
  49. Sun Sep 15 12:13:58 2024 commencing in-memory singleton removal
  50. Sun Sep 15 12:14:00 2024 begin with 67126410 relations and 56002688 unique ideals
  51. Sun Sep 15 12:14:03 2024 reduce to 66443371 relations and 49187797 ideals in 7 passes
  52. Sun Sep 15 12:14:03 2024 max relations containing the same ideal: 154
  53. Sun Sep 15 12:14:23 2024 removing 6430754 relations and 4430754 ideals in 2000000 cliques
  54. Sun Sep 15 12:14:26 2024 commencing in-memory singleton removal
  55. Sun Sep 15 12:14:27 2024 begin with 60012617 relations and 49187797 unique ideals
  56. Sun Sep 15 12:14:30 2024 reduce to 59541770 relations and 44272406 ideals in 8 passes
  57. Sun Sep 15 12:14:30 2024 max relations containing the same ideal: 143
  58. Sun Sep 15 12:14:51 2024 removing 5984598 relations and 3984598 ideals in 2000000 cliques
  59. Sun Sep 15 12:14:54 2024 commencing in-memory singleton removal
  60. Sun Sep 15 12:14:55 2024 begin with 53557172 relations and 44272406 unique ideals
  61. Sun Sep 15 12:14:57 2024 reduce to 53136314 relations and 39854013 ideals in 7 passes
  62. Sun Sep 15 12:14:57 2024 max relations containing the same ideal: 134
  63. Sun Sep 15 12:15:14 2024 removing 5757281 relations and 3757281 ideals in 2000000 cliques
  64. Sun Sep 15 12:15:17 2024 commencing in-memory singleton removal
  65. Sun Sep 15 12:15:17 2024 begin with 47379033 relations and 39854013 unique ideals
  66. Sun Sep 15 12:15:20 2024 reduce to 46971322 relations and 35675599 ideals in 7 passes
  67. Sun Sep 15 12:15:20 2024 max relations containing the same ideal: 122
  68. Sun Sep 15 12:15:34 2024 removing 5618337 relations and 3618337 ideals in 2000000 cliques
  69. Sun Sep 15 12:15:37 2024 commencing in-memory singleton removal
  70. Sun Sep 15 12:15:37 2024 begin with 41352985 relations and 35675599 unique ideals
  71. Sun Sep 15 12:15:39 2024 reduce to 40937840 relations and 31626911 ideals in 7 passes
  72. Sun Sep 15 12:15:39 2024 max relations containing the same ideal: 114
  73. Sun Sep 15 12:15:52 2024 removing 5531661 relations and 3531661 ideals in 2000000 cliques
  74. Sun Sep 15 12:15:54 2024 commencing in-memory singleton removal
  75. Sun Sep 15 12:15:55 2024 begin with 35406179 relations and 31626911 unique ideals
  76. Sun Sep 15 12:15:56 2024 reduce to 34966334 relations and 27637207 ideals in 8 passes
  77. Sun Sep 15 12:15:56 2024 max relations containing the same ideal: 106
  78. Sun Sep 15 12:16:08 2024 removing 5474361 relations and 3474361 ideals in 2000000 cliques
  79. Sun Sep 15 12:16:09 2024 commencing in-memory singleton removal
  80. Sun Sep 15 12:16:10 2024 begin with 29491973 relations and 27637207 unique ideals
  81. Sun Sep 15 12:16:11 2024 reduce to 29006673 relations and 23654131 ideals in 8 passes
  82. Sun Sep 15 12:16:11 2024 max relations containing the same ideal: 91
  83. Sun Sep 15 12:16:20 2024 removing 5436327 relations and 3436327 ideals in 2000000 cliques
  84. Sun Sep 15 12:16:22 2024 commencing in-memory singleton removal
  85. Sun Sep 15 12:16:22 2024 begin with 23570346 relations and 23654131 unique ideals
  86. Sun Sep 15 12:16:24 2024 reduce to 23010030 relations and 19625355 ideals in 7 passes
  87. Sun Sep 15 12:16:24 2024 max relations containing the same ideal: 79
  88. Sun Sep 15 12:16:31 2024 removing 5408844 relations and 3408844 ideals in 2000000 cliques
  89. Sun Sep 15 12:16:32 2024 commencing in-memory singleton removal
  90. Sun Sep 15 12:16:33 2024 begin with 17601186 relations and 19625355 unique ideals
  91. Sun Sep 15 12:16:34 2024 reduce to 16914614 relations and 15480388 ideals in 9 passes
  92. Sun Sep 15 12:16:34 2024 max relations containing the same ideal: 63
  93. Sun Sep 15 12:16:40 2024 removing 2479798 relations and 1694925 ideals in 784873 cliques
  94. Sun Sep 15 12:16:41 2024 commencing in-memory singleton removal
  95. Sun Sep 15 12:16:41 2024 begin with 14434816 relations and 15480388 unique ideals
  96. Sun Sep 15 12:16:42 2024 reduce to 14168647 relations and 13507748 ideals in 7 passes
  97. Sun Sep 15 12:16:42 2024 max relations containing the same ideal: 54
  98. Sun Sep 15 12:16:47 2024 removing 69693 relations and 58147 ideals in 11546 cliques
  99. Sun Sep 15 12:16:47 2024 commencing in-memory singleton removal
  100. Sun Sep 15 12:16:48 2024 begin with 14098954 relations and 13507748 unique ideals
  101. Sun Sep 15 12:16:48 2024 reduce to 14098723 relations and 13449370 ideals in 5 passes
  102. Sun Sep 15 12:16:48 2024 max relations containing the same ideal: 54
  103. Sun Sep 15 12:16:50 2024 relations with 0 large ideals: 1752
  104. Sun Sep 15 12:16:50 2024 relations with 1 large ideals: 15659
  105. Sun Sep 15 12:16:50 2024 relations with 2 large ideals: 191839
  106. Sun Sep 15 12:16:50 2024 relations with 3 large ideals: 973454
  107. Sun Sep 15 12:16:50 2024 relations with 4 large ideals: 2551245
  108. Sun Sep 15 12:16:50 2024 relations with 5 large ideals: 3850324
  109. Sun Sep 15 12:16:50 2024 relations with 6 large ideals: 3575392
  110. Sun Sep 15 12:16:50 2024 relations with 7+ large ideals: 2939058
  111. Sun Sep 15 12:16:50 2024 commencing 2-way merge
  112. Sun Sep 15 12:16:56 2024 reduce to 9462548 relation sets and 8813195 unique ideals
  113. Sun Sep 15 12:16:56 2024 commencing full merge
  114. Sun Sep 15 12:19:18 2024 memory use: 1121.5 MB
  115. Sun Sep 15 12:19:19 2024 found 4318478 cycles, need 4253395
  116. Sun Sep 15 12:19:20 2024 weight of 4253395 cycles is about 511022776 (120.14/cycle)
  117. Sun Sep 15 12:19:20 2024 distribution of cycle lengths:
  118. Sun Sep 15 12:19:20 2024 1 relations: 92176
  119. Sun Sep 15 12:19:20 2024 2 relations: 219848
  120. Sun Sep 15 12:19:20 2024 3 relations: 289338
  121. Sun Sep 15 12:19:20 2024 4 relations: 317798
  122. Sun Sep 15 12:19:20 2024 5 relations: 343479
  123. Sun Sep 15 12:19:20 2024 6 relations: 350356
  124. Sun Sep 15 12:19:20 2024 7 relations: 344584
  125. Sun Sep 15 12:19:20 2024 8 relations: 329630
  126. Sun Sep 15 12:19:20 2024 9 relations: 307473
  127. Sun Sep 15 12:19:20 2024 10+ relations: 1658713
  128. Sun Sep 15 12:19:20 2024 heaviest cycle: 26 relations
  129. Sun Sep 15 12:19:21 2024 commencing cycle optimization
  130. Sun Sep 15 12:19:28 2024 start with 37159517 relations
  131. Sun Sep 15 12:20:30 2024 pruned 1910650 relations
  132. Sun Sep 15 12:20:30 2024 memory use: 966.9 MB
  133. Sun Sep 15 12:20:30 2024 distribution of cycle lengths:
  134. Sun Sep 15 12:20:30 2024 1 relations: 92176
  135. Sun Sep 15 12:20:30 2024 2 relations: 226764
  136. Sun Sep 15 12:20:30 2024 3 relations: 304054
  137. Sun Sep 15 12:20:30 2024 4 relations: 334710
  138. Sun Sep 15 12:20:30 2024 5 relations: 364997
  139. Sun Sep 15 12:20:30 2024 6 relations: 371925
  140. Sun Sep 15 12:20:30 2024 7 relations: 367447
  141. Sun Sep 15 12:20:30 2024 8 relations: 349617
  142. Sun Sep 15 12:20:30 2024 9 relations: 324033
  143. Sun Sep 15 12:20:30 2024 10+ relations: 1517672
  144. Sun Sep 15 12:20:30 2024 heaviest cycle: 26 relations
  145. Sun Sep 15 12:20:35 2024 RelProcTime: 1298
  146. Sun Sep 15 12:20:35 2024 elapsed time 00:21:39
  147. Sun Sep 15 19:28:24 2024
  148. Sun Sep 15 19:28:24 2024
  149. Sun Sep 15 19:28:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  150. Sun Sep 15 19:28:24 2024 random seeds: ccf4a7ab fbe20c18
  151. Sun Sep 15 19:28:24 2024 MPI process 0 of 1
  152. Sun Sep 15 19:28:24 2024 Using 64 OpenMP threads
  153. Sun Sep 15 19:28:24 2024 factoring 430484621853671060674070070491123576686164786878477366801026326409234253676981707258564601004031085715856414186708927651027718895316857604111242540925442109939 (159 digits)
  154. Sun Sep 15 19:28:25 2024 searching for 15-digit factors
  155. Sun Sep 15 19:28:25 2024 commencing number field sieve (159-digit input)
  156. Sun Sep 15 19:28:25 2024 R0: -5769826949535387010742747948215
  157. Sun Sep 15 19:28:25 2024 R1: 194824687106045549
  158. Sun Sep 15 19:28:25 2024 A0: -1869880623628437266193927746718313789224
  159. Sun Sep 15 19:28:25 2024 A1: 804829936002853130546539070153736
  160. Sun Sep 15 19:28:25 2024 A2: 192786727526523146667388879
  161. Sun Sep 15 19:28:25 2024 A3: -91750972988502451534
  162. Sun Sep 15 19:28:25 2024 A4: -1858100218902
  163. Sun Sep 15 19:28:25 2024 A5: 67320
  164. Sun Sep 15 19:28:25 2024 skew 10878085.87, size 1.720e-15, alpha -7.719, combined = 1.537e-12 rroots = 3
  165. Sun Sep 15 19:28:25 2024
  166. Sun Sep 15 19:28:25 2024 commencing linear algebra
  167. Sun Sep 15 19:28:25 2024 using VBITS=256
  168. Sun Sep 15 19:28:25 2024 initialized process (0,0) of 1 x 1 grid
  169. Sun Sep 15 19:28:26 2024 read 4253395 cycles
  170. Sun Sep 15 19:28:39 2024 cycles contain 13796686 unique relations
  171. Sun Sep 15 19:31:00 2024 read 13796686 relations
  172. Sun Sep 15 19:31:02 2024 using 20 quadratic characters above 4294917295
  173. Sun Sep 15 19:31:04 2024 building initial matrix
  174. Sun Sep 15 19:34:40 2024 memory use: 1911.6 MB
  175. Sun Sep 15 19:34:44 2024 read 4253395 cycles
  176. Sun Sep 15 19:34:45 2024 matrix is 4253215 x 4253395 (1994.4 MB) with weight 617161758 (145.10/col)
  177. Sun Sep 15 19:34:45 2024 sparse part has weight 471774913 (110.92/col)
  178. Sun Sep 15 19:35:41 2024 filtering completed in 2 passes
  179. Sun Sep 15 19:35:42 2024 matrix is 4253026 x 4253205 (1994.4 MB) with weight 617149906 (145.10/col)
  180. Sun Sep 15 19:35:42 2024 sparse part has weight 471769735 (110.92/col)
  181. Sun Sep 15 19:36:10 2024 matrix starts at (0, 0)
  182. Sun Sep 15 19:36:11 2024 matrix is 4253026 x 4253205 (1994.4 MB) with weight 617149906 (145.10/col)
  183. Sun Sep 15 19:36:11 2024 sparse part has weight 471769735 (110.92/col)
  184. Sun Sep 15 19:36:11 2024 saving the first 240 matrix rows for later
  185. Sun Sep 15 19:36:13 2024 matrix includes 256 packed rows
  186. Sun Sep 15 19:36:15 2024 matrix is 4252786 x 4253205 (1791.1 MB) with weight 431189277 (101.38/col)
  187. Sun Sep 15 19:36:15 2024 sparse part has weight 401481038 (94.39/col)
  188. Sun Sep 15 19:36:15 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  189. Sun Sep 15 19:36:28 2024 commencing Lanczos iteration (64 threads)
  190. Sun Sep 15 19:36:28 2024 memory use: 2584.8 MB
  191. Sun Sep 15 19:37:13 2024 linear algebra at 0.7%, ETA 1h34m
  192. Sun Sep 15 19:38:11 2024 checking every 40000 dimensions, checkpointing every 2800000 dimensions
  193. Sun Sep 15 21:01:04 2024 lanczos halted after 16664 iterations (dim = 4252786)
  194. Sun Sep 15 21:01:23 2024 recovered 33 nontrivial dependencies
  195. Sun Sep 15 21:01:23 2024 BLanczosTime: 5578
  196. Sun Sep 15 21:01:23 2024
  197. Sun Sep 15 21:01:23 2024 commencing square root phase
  198. Sun Sep 15 21:01:23 2024 reading relations for dependency 1
  199. Sun Sep 15 21:01:24 2024 read 2126350 cycles
  200. Sun Sep 15 21:01:29 2024 cycles contain 6898428 unique relations
  201. Sun Sep 15 21:03:44 2024 read 6898428 relations
  202. Sun Sep 15 21:04:20 2024 multiplying 6898428 relations
  203. Sun Sep 15 21:05:50 2024 multiply complete, coefficients have about 368.23 million bits
  204. Sun Sep 15 21:05:51 2024 initial square root is modulo 4048939
  205. Sun Sep 15 21:08:58 2024 GCD is N, no factor found
  206. Sun Sep 15 21:08:58 2024 reading relations for dependency 2
  207. Sun Sep 15 21:08:58 2024 read 2126271 cycles
  208. Sun Sep 15 21:09:01 2024 cycles contain 6900168 unique relations
  209. Sun Sep 15 21:11:11 2024 read 6900168 relations
  210. Sun Sep 15 21:11:35 2024 multiplying 6900168 relations
  211. Sun Sep 15 21:13:04 2024 multiply complete, coefficients have about 368.33 million bits
  212. Sun Sep 15 21:13:07 2024 initial square root is modulo 4064393
  213. Sun Sep 15 21:16:55 2024 GCD is N, no factor found
  214. Sun Sep 15 21:16:55 2024 reading relations for dependency 3
  215. Sun Sep 15 21:16:55 2024 read 2127080 cycles
  216. Sun Sep 15 21:16:58 2024 cycles contain 6899942 unique relations
  217. Sun Sep 15 21:19:03 2024 read 6899942 relations
  218. Sun Sep 15 21:19:41 2024 multiplying 6899942 relations
  219. Sun Sep 15 21:20:21 2024 multiply complete, coefficients have about 368.31 million bits
  220. Sun Sep 15 21:20:22 2024 initial square root is modulo 4062347
  221. Sun Sep 15 21:24:34 2024 sqrtTime: 1391
  222. Sun Sep 15 21:24:34 2024 p78 factor: 263645987959275960729776789787674334985827585320688979005287777875864972868051
  223. Sun Sep 15 21:24:34 2024 p82 factor: 1632813096022404882252261802950916514028020468300773247467875616378041875891483489
  224. Sun Sep 15 21:24:34 2024 elapsed time 01:56:10
  225.  
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