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Apr 24th, 2024
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  1. Wed Apr 24 12:19:03 2024
  2. Wed Apr 24 12:19:03 2024
  3. Wed Apr 24 12:19:03 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 24 12:19:03 2024 random seeds: 4745f069 26a80372
  5. Wed Apr 24 12:19:03 2024 Using 32 OpenMP threads
  6. Wed Apr 24 12:19:03 2024 factoring 14025988976053049132159502332472688247751009029636890956825855204662666432255313357443754674215769618001836605564383554679441797813037930016520085017530420942230022367911 (170 digits)
  7. Wed Apr 24 12:19:03 2024 searching for 15-digit factors
  8. Wed Apr 24 12:19:04 2024 commencing number field sieve (170-digit input)
  9. Wed Apr 24 12:19:04 2024 R0: -946338041270337441832323675036756
  10. Wed Apr 24 12:19:04 2024 R1: 297290394217753127
  11. Wed Apr 24 12:19:04 2024 A0: 12180003646158940602804670732376704254985385
  12. Wed Apr 24 12:19:04 2024 A1: 637176744251647249541970539059383766
  13. Wed Apr 24 12:19:04 2024 A2: -13644590466155451804249707265
  14. Wed Apr 24 12:19:04 2024 A3: -625708083069497050582
  15. Wed Apr 24 12:19:04 2024 A4: 4662579178504
  16. Wed Apr 24 12:19:04 2024 A5: 18480
  17. Wed Apr 24 12:19:04 2024 skew 67841913.93, size 1.731e-16, alpha -8.043, combined = 3.958e-13 rroots = 5
  18. Wed Apr 24 12:19:04 2024
  19. Wed Apr 24 12:19:04 2024 commencing relation filtering
  20. Wed Apr 24 12:19:04 2024 setting target matrix density to 140.0
  21. Wed Apr 24 12:19:04 2024 estimated available RAM is 515996.3 MB
  22. Wed Apr 24 12:19:04 2024 commencing duplicate removal, pass 1
  23. Wed Apr 24 12:19:06 2024 error -1 reading relation 1105199
  24. Wed Apr 24 12:19:14 2024 error -1 reading relation 7842657
  25. Wed Apr 24 12:19:27 2024 error -1 reading relation 17769138
  26. Wed Apr 24 12:19:38 2024 error -1 reading relation 26840290
  27. Wed Apr 24 12:19:39 2024 error -1 reading relation 27588409
  28. Wed Apr 24 12:19:40 2024 error -1 reading relation 28267045
  29. Wed Apr 24 12:19:40 2024 error -1 reading relation 28282961
  30. Wed Apr 24 12:19:41 2024 error -1 reading relation 28964671
  31. Wed Apr 24 12:19:41 2024 error -1 reading relation 29228398
  32. Wed Apr 24 12:19:54 2024 error -1 reading relation 38317964
  33. Wed Apr 24 12:20:31 2024 error -1 reading relation 60710496
  34. Wed Apr 24 12:20:50 2024 error -1 reading relation 71170873
  35. Wed Apr 24 12:20:50 2024 error -1 reading relation 71275886
  36. Wed Apr 24 12:20:51 2024 error -1 reading relation 71764115
  37. Wed Apr 24 12:21:02 2024 error -11 reading relation 77012964
  38. Wed Apr 24 12:21:02 2024 error -11 reading relation 77046520
  39. Wed Apr 24 12:21:55 2024 error -1 reading relation 103867808
  40. Wed Apr 24 12:22:00 2024 error -1 reading relation 106699310
  41. Wed Apr 24 12:22:14 2024 error -1 reading relation 113941377
  42. Wed Apr 24 12:22:15 2024 error -1 reading relation 114343153
  43. Wed Apr 24 12:22:19 2024 error -1 reading relation 116308163
  44. Wed Apr 24 12:22:29 2024 error -1 reading relation 121181399
  45. Wed Apr 24 12:22:32 2024 error -1 reading relation 122610692
  46. Wed Apr 24 12:22:42 2024 error -6 reading relation 127696375
  47. Wed Apr 24 12:22:43 2024 error -1 reading relation 127984142
  48. Wed Apr 24 12:22:45 2024 error -1 reading relation 129406432
  49. Wed Apr 24 12:23:13 2024 error -1 reading relation 143607109
  50. Wed Apr 24 12:23:16 2024 skipped 1 relations with b > 2^32
  51. Wed Apr 24 12:23:16 2024 skipped 153 malformed relations
  52. Wed Apr 24 12:23:16 2024 found 31096853 hash collisions in 144768716 relations
  53. Wed Apr 24 12:23:38 2024 added 121664 free relations
  54. Wed Apr 24 12:23:38 2024 commencing duplicate removal, pass 2
  55. Wed Apr 24 12:26:21 2024 found 30538116 duplicates and 114352264 unique relations
  56. Wed Apr 24 12:26:21 2024 memory use: 724.8 MB
  57. Wed Apr 24 12:26:21 2024 reading ideals above 720000
  58. Wed Apr 24 12:26:21 2024 commencing singleton removal, initial pass
  59. Wed Apr 24 12:33:28 2024 memory use: 2756.0 MB
  60. Wed Apr 24 12:33:28 2024 reading all ideals from disk
  61. Wed Apr 24 12:33:31 2024 memory use: 5312.9 MB
  62. Wed Apr 24 12:33:44 2024 keeping 94335139 ideals with weight <= 200, target excess is 643872
  63. Wed Apr 24 12:34:02 2024 commencing in-memory singleton removal
  64. Wed Apr 24 12:34:04 2024 begin with 114352264 relations and 94335139 unique ideals
  65. Wed Apr 24 12:34:12 2024 reduce to 85233080 relations and 62994034 ideals in 11 passes
  66. Wed Apr 24 12:34:12 2024 max relations containing the same ideal: 173
  67. Wed Apr 24 12:34:45 2024 removing 7802095 relations and 5802095 ideals in 2000000 cliques
  68. Wed Apr 24 12:34:49 2024 commencing in-memory singleton removal
  69. Wed Apr 24 12:34:50 2024 begin with 77430985 relations and 62994034 unique ideals
  70. Wed Apr 24 12:34:55 2024 reduce to 76871163 relations and 56616203 ideals in 8 passes
  71. Wed Apr 24 12:34:55 2024 max relations containing the same ideal: 166
  72. Wed Apr 24 12:35:24 2024 removing 6226729 relations and 4226729 ideals in 2000000 cliques
  73. Wed Apr 24 12:35:27 2024 commencing in-memory singleton removal
  74. Wed Apr 24 12:35:29 2024 begin with 70644434 relations and 56616203 unique ideals
  75. Wed Apr 24 12:35:32 2024 reduce to 70259477 relations and 51994863 ideals in 6 passes
  76. Wed Apr 24 12:35:32 2024 max relations containing the same ideal: 156
  77. Wed Apr 24 12:35:57 2024 removing 5816752 relations and 3816752 ideals in 2000000 cliques
  78. Wed Apr 24 12:36:00 2024 commencing in-memory singleton removal
  79. Wed Apr 24 12:36:02 2024 begin with 64442725 relations and 51994863 unique ideals
  80. Wed Apr 24 12:36:05 2024 reduce to 64102271 relations and 47828937 ideals in 6 passes
  81. Wed Apr 24 12:36:05 2024 max relations containing the same ideal: 148
  82. Wed Apr 24 12:36:28 2024 removing 5612729 relations and 3612729 ideals in 2000000 cliques
  83. Wed Apr 24 12:36:31 2024 commencing in-memory singleton removal
  84. Wed Apr 24 12:36:32 2024 begin with 58489542 relations and 47828937 unique ideals
  85. Wed Apr 24 12:36:35 2024 reduce to 58162375 relations and 43879948 ideals in 7 passes
  86. Wed Apr 24 12:36:35 2024 max relations containing the same ideal: 137
  87. Wed Apr 24 12:36:54 2024 removing 5486308 relations and 3486308 ideals in 2000000 cliques
  88. Wed Apr 24 12:36:57 2024 commencing in-memory singleton removal
  89. Wed Apr 24 12:36:58 2024 begin with 52676067 relations and 43879948 unique ideals
  90. Wed Apr 24 12:37:00 2024 reduce to 52349189 relations and 40057225 ideals in 6 passes
  91. Wed Apr 24 12:37:00 2024 max relations containing the same ideal: 126
  92. Wed Apr 24 12:37:18 2024 removing 5408482 relations and 3408482 ideals in 2000000 cliques
  93. Wed Apr 24 12:37:20 2024 commencing in-memory singleton removal
  94. Wed Apr 24 12:37:21 2024 begin with 46940707 relations and 40057225 unique ideals
  95. Wed Apr 24 12:37:23 2024 reduce to 46601768 relations and 36298820 ideals in 6 passes
  96. Wed Apr 24 12:37:23 2024 max relations containing the same ideal: 119
  97. Wed Apr 24 12:37:39 2024 removing 5359635 relations and 3359635 ideals in 2000000 cliques
  98. Wed Apr 24 12:37:41 2024 commencing in-memory singleton removal
  99. Wed Apr 24 12:37:42 2024 begin with 41242133 relations and 36298820 unique ideals
  100. Wed Apr 24 12:37:44 2024 reduce to 40879341 relations and 32563661 ideals in 7 passes
  101. Wed Apr 24 12:37:44 2024 max relations containing the same ideal: 110
  102. Wed Apr 24 12:37:58 2024 removing 5337885 relations and 3337885 ideals in 2000000 cliques
  103. Wed Apr 24 12:38:00 2024 commencing in-memory singleton removal
  104. Wed Apr 24 12:38:01 2024 begin with 35541456 relations and 32563661 unique ideals
  105. Wed Apr 24 12:38:02 2024 reduce to 35140013 relations and 28808449 ideals in 7 passes
  106. Wed Apr 24 12:38:02 2024 max relations containing the same ideal: 100
  107. Wed Apr 24 12:38:14 2024 removing 5335987 relations and 3335987 ideals in 2000000 cliques
  108. Wed Apr 24 12:38:16 2024 commencing in-memory singleton removal
  109. Wed Apr 24 12:38:17 2024 begin with 29804026 relations and 28808449 unique ideals
  110. Wed Apr 24 12:38:18 2024 reduce to 29345016 relations and 24992485 ideals in 7 passes
  111. Wed Apr 24 12:38:18 2024 max relations containing the same ideal: 91
  112. Wed Apr 24 12:38:28 2024 removing 5353503 relations and 3353503 ideals in 2000000 cliques
  113. Wed Apr 24 12:38:30 2024 commencing in-memory singleton removal
  114. Wed Apr 24 12:38:30 2024 begin with 23991513 relations and 24992485 unique ideals
  115. Wed Apr 24 12:38:32 2024 reduce to 23437238 relations and 21054419 ideals in 7 passes
  116. Wed Apr 24 12:38:32 2024 max relations containing the same ideal: 78
  117. Wed Apr 24 12:38:40 2024 removing 4546741 relations and 2910814 ideals in 1635927 cliques
  118. Wed Apr 24 12:38:41 2024 commencing in-memory singleton removal
  119. Wed Apr 24 12:38:42 2024 begin with 18890497 relations and 21054419 unique ideals
  120. Wed Apr 24 12:38:43 2024 reduce to 18341391 relations and 17562511 ideals in 8 passes
  121. Wed Apr 24 12:38:43 2024 max relations containing the same ideal: 64
  122. Wed Apr 24 12:38:49 2024 removing 177696 relations and 145708 ideals in 31988 cliques
  123. Wed Apr 24 12:38:50 2024 commencing in-memory singleton removal
  124. Wed Apr 24 12:38:50 2024 begin with 18163695 relations and 17562511 unique ideals
  125. Wed Apr 24 12:38:51 2024 reduce to 18162242 relations and 17415346 ideals in 5 passes
  126. Wed Apr 24 12:38:51 2024 max relations containing the same ideal: 63
  127. Wed Apr 24 12:38:53 2024 relations with 0 large ideals: 2161
  128. Wed Apr 24 12:38:53 2024 relations with 1 large ideals: 12453
  129. Wed Apr 24 12:38:53 2024 relations with 2 large ideals: 163107
  130. Wed Apr 24 12:38:53 2024 relations with 3 large ideals: 911551
  131. Wed Apr 24 12:38:53 2024 relations with 4 large ideals: 2656911
  132. Wed Apr 24 12:38:53 2024 relations with 5 large ideals: 4524479
  133. Wed Apr 24 12:38:53 2024 relations with 6 large ideals: 4821884
  134. Wed Apr 24 12:38:53 2024 relations with 7+ large ideals: 5069696
  135. Wed Apr 24 12:38:53 2024 commencing 2-way merge
  136. Wed Apr 24 12:39:02 2024 reduce to 12432272 relation sets and 11685376 unique ideals
  137. Wed Apr 24 12:39:02 2024 commencing full merge
  138. Wed Apr 24 12:42:49 2024 memory use: 1507.8 MB
  139. Wed Apr 24 12:42:50 2024 found 5400573 cycles, need 5371576
  140. Wed Apr 24 12:42:52 2024 weight of 5371576 cycles is about 752594281 (140.11/cycle)
  141. Wed Apr 24 12:42:52 2024 distribution of cycle lengths:
  142. Wed Apr 24 12:42:52 2024 1 relations: 101940
  143. Wed Apr 24 12:42:52 2024 2 relations: 234254
  144. Wed Apr 24 12:42:52 2024 3 relations: 311213
  145. Wed Apr 24 12:42:52 2024 4 relations: 350135
  146. Wed Apr 24 12:42:52 2024 5 relations: 385382
  147. Wed Apr 24 12:42:52 2024 6 relations: 396302
  148. Wed Apr 24 12:42:52 2024 7 relations: 402018
  149. Wed Apr 24 12:42:52 2024 8 relations: 389484
  150. Wed Apr 24 12:42:52 2024 9 relations: 370902
  151. Wed Apr 24 12:42:52 2024 10+ relations: 2429946
  152. Wed Apr 24 12:42:52 2024 heaviest cycle: 28 relations
  153. Wed Apr 24 12:42:53 2024 commencing cycle optimization
  154. Wed Apr 24 12:43:02 2024 start with 52166598 relations
  155. Wed Apr 24 12:44:43 2024 pruned 3145232 relations
  156. Wed Apr 24 12:44:43 2024 memory use: 1286.0 MB
  157. Wed Apr 24 12:44:43 2024 distribution of cycle lengths:
  158. Wed Apr 24 12:44:43 2024 1 relations: 101940
  159. Wed Apr 24 12:44:43 2024 2 relations: 242010
  160. Wed Apr 24 12:44:43 2024 3 relations: 327725
  161. Wed Apr 24 12:44:43 2024 4 relations: 370324
  162. Wed Apr 24 12:44:43 2024 5 relations: 411927
  163. Wed Apr 24 12:44:43 2024 6 relations: 424812
  164. Wed Apr 24 12:44:43 2024 7 relations: 433291
  165. Wed Apr 24 12:44:43 2024 8 relations: 417715
  166. Wed Apr 24 12:44:43 2024 9 relations: 397198
  167. Wed Apr 24 12:44:43 2024 10+ relations: 2244634
  168. Wed Apr 24 12:44:43 2024 heaviest cycle: 28 relations
  169. Wed Apr 24 12:44:49 2024 RelProcTime: 1545
  170. Wed Apr 24 12:44:49 2024 elapsed time 00:25:46
  171. Wed Apr 24 13:21:04 2024
  172. Wed Apr 24 13:21:04 2024
  173. Wed Apr 24 13:21:04 2024 Msieve v. 1.54 (SVN Unversioned directory)
  174. Wed Apr 24 13:21:04 2024 random seeds: 85330fde cc56a3af
  175. Wed Apr 24 13:21:04 2024 Using 64 OpenMP threads
  176. Wed Apr 24 13:21:04 2024 factoring 14025988976053049132159502332472688247751009029636890956825855204662666432255313357443754674215769618001836605564383554679441797813037930016520085017530420942230022367911 (170 digits)
  177. Wed Apr 24 13:21:04 2024 searching for 15-digit factors
  178. Wed Apr 24 13:21:05 2024 commencing number field sieve (170-digit input)
  179. Wed Apr 24 13:21:05 2024 R0: -946338041270337441832323675036756
  180. Wed Apr 24 13:21:05 2024 R1: 297290394217753127
  181. Wed Apr 24 13:21:05 2024 A0: 12180003646158940602804670732376704254985385
  182. Wed Apr 24 13:21:05 2024 A1: 637176744251647249541970539059383766
  183. Wed Apr 24 13:21:05 2024 A2: -13644590466155451804249707265
  184. Wed Apr 24 13:21:05 2024 A3: -625708083069497050582
  185. Wed Apr 24 13:21:05 2024 A4: 4662579178504
  186. Wed Apr 24 13:21:05 2024 A5: 18480
  187. Wed Apr 24 13:21:05 2024 skew 67841913.93, size 1.731e-16, alpha -8.043, combined = 3.958e-13 rroots = 5
  188. Wed Apr 24 13:21:05 2024
  189. Wed Apr 24 13:21:05 2024 commencing linear algebra
  190. Wed Apr 24 13:21:05 2024 using VBITS=256
  191. Wed Apr 24 13:21:06 2024 read 5371576 cycles
  192. Wed Apr 24 13:21:19 2024 cycles contain 17821831 unique relations
  193. Wed Apr 24 13:23:44 2024 read 17821831 relations
  194. Wed Apr 24 13:23:46 2024 using 20 quadratic characters above 4294917295
  195. Wed Apr 24 13:23:48 2024 building initial matrix
  196. Wed Apr 24 13:27:41 2024 memory use: 2580.6 MB
  197. Wed Apr 24 13:27:43 2024 read 5371576 cycles
  198. Wed Apr 24 13:27:44 2024 matrix is 5371398 x 5371576 (2862.3 MB) with weight 876560541 (163.18/col)
  199. Wed Apr 24 13:27:44 2024 sparse part has weight 685878750 (127.69/col)
  200. Wed Apr 24 13:28:48 2024 filtering completed in 2 passes
  201. Wed Apr 24 13:28:49 2024 matrix is 5371333 x 5371510 (2862.3 MB) with weight 876555308 (163.19/col)
  202. Wed Apr 24 13:28:49 2024 sparse part has weight 685876043 (127.69/col)
  203. Wed Apr 24 13:29:08 2024 matrix starts at (0, 0)
  204. Wed Apr 24 13:29:10 2024 matrix is 5371333 x 5371510 (2862.3 MB) with weight 876555308 (163.19/col)
  205. Wed Apr 24 13:29:10 2024 sparse part has weight 685876043 (127.69/col)
  206. Wed Apr 24 13:29:10 2024 saving the first 240 matrix rows for later
  207. Wed Apr 24 13:29:12 2024 matrix includes 256 packed rows
  208. Wed Apr 24 13:29:15 2024 matrix is 5371093 x 5371510 (2569.1 MB) with weight 628953981 (117.09/col)
  209. Wed Apr 24 13:29:15 2024 sparse part has weight 587524677 (109.38/col)
  210. Wed Apr 24 13:29:15 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  211. Wed Apr 24 13:29:33 2024 commencing Lanczos iteration (64 threads)
  212. Wed Apr 24 13:29:33 2024 memory use: 3391.8 MB
  213. Wed Apr 24 13:32:24 2024 linear algebra at 0.6%, ETA 8h11m
  214. Wed Apr 24 13:33:40 2024 checking every 10000 dimensions, checkpointing every 1130000 dimensions
  215. Wed Apr 24 15:59:31 2024 lanczos halted after 21045 iterations (dim = 5371091)
  216. Wed Apr 24 15:59:55 2024 recovered 28 nontrivial dependencies
  217. Wed Apr 24 15:59:56 2024 BLanczosTime: 9531
  218. Wed Apr 24 15:59:56 2024
  219. Wed Apr 24 15:59:56 2024 commencing square root phase
  220. Wed Apr 24 15:59:56 2024 reading relations for dependency 1
  221. Wed Apr 24 15:59:56 2024 read 2686122 cycles
  222. Wed Apr 24 16:00:00 2024 cycles contain 8910676 unique relations
  223. Wed Apr 24 16:01:51 2024 read 8910676 relations
  224. Wed Apr 24 16:02:21 2024 multiplying 8910676 relations
  225. Wed Apr 24 16:06:18 2024 multiply complete, coefficients have about 483.23 million bits
  226. Wed Apr 24 16:06:20 2024 initial square root is modulo 468456809
  227. Wed Apr 24 16:10:19 2024 sqrtTime: 623
  228. Wed Apr 24 16:10:19 2024 p57 factor: 156144146582909520636882267571584296211314533827078876151
  229. Wed Apr 24 16:10:19 2024 p113 factor: 89827183938691677895472855869884760939186152530740186852700151876978541958685929658094845534242665451797220567761
  230. Wed Apr 24 16:10:19 2024 elapsed time 02:49:15
  231.  
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