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Jan 5th, 2021
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  1. Sun Jan 3 15:29:32 2021 Msieve v. 1.54 (SVN 1025)
  2. Sun Jan 3 15:29:32 2021 random seeds: b92cefdc f01a5c33
  3. Sun Jan 3 15:29:32 2021 factoring 42747399366326575436890998251197739865175287323845808727558864347441076091174561765734821127432386080479333756929756731529941716874792720763683420970186503 (155 digits)
  4. Sun Jan 3 15:29:33 2021 no P-1/P+1/ECM available, skipping
  5. Sun Jan 3 15:29:33 2021 commencing number field sieve (155-digit input)
  6. Sun Jan 3 15:29:33 2021 R0: -1197104300227497998796300428814
  7. Sun Jan 3 15:29:33 2021 R1: 120959143280491321
  8. Sun Jan 3 15:29:33 2021 A0: -523152288641183083714792059487941054425
  9. Sun Jan 3 15:29:33 2021 A1: 63996785751320621336788053397700
  10. Sun Jan 3 15:29:33 2021 A2: 33436075165631801388890052
  11. Sun Jan 3 15:29:33 2021 A3: -3396560417438463212
  12. Sun Jan 3 15:29:33 2021 A4: 44657346257
  13. Sun Jan 3 15:29:33 2021 A5: 17388
  14. Sun Jan 3 15:29:33 2021 skew 9799253.81, size 4.871e-15, alpha -7.314, combined = 2.904e-12 rroots = 3
  15. Sun Jan 3 15:29:33 2021
  16. Sun Jan 3 15:29:33 2021 commencing relation filtering
  17. Sun Jan 3 15:29:33 2021 setting target matrix density to 130.0
  18. Sun Jan 3 15:29:33 2021 estimated available RAM is 15890.5 MB
  19. Sun Jan 3 15:29:33 2021 commencing duplicate removal, pass 1
  20. Sun Jan 3 15:40:56 2021 skipped 3 relations with composite factors
  21. Sun Jan 3 15:40:56 2021 found 11327861 hash collisions in 62878137 relations
  22. Sun Jan 3 15:41:26 2021 added 122150 free relations
  23. Sun Jan 3 15:41:26 2021 commencing duplicate removal, pass 2
  24. Sun Jan 3 15:43:02 2021 found 10434301 duplicates and 52565986 unique relations
  25. Sun Jan 3 15:43:02 2021 memory use: 330.4 MB
  26. Sun Jan 3 15:43:02 2021 reading ideals above 720000
  27. Sun Jan 3 15:43:02 2021 commencing singleton removal, initial pass
  28. Sun Jan 3 15:51:58 2021 memory use: 1378.0 MB
  29. Sun Jan 3 15:51:58 2021 reading all ideals from disk
  30. Sun Jan 3 15:52:03 2021 memory use: 1897.0 MB
  31. Sun Jan 3 15:52:08 2021 keeping 47359141 ideals with weight <= 200, target excess is 283748
  32. Sun Jan 3 15:52:14 2021 commencing in-memory singleton removal
  33. Sun Jan 3 15:52:18 2021 begin with 52565986 relations and 47359141 unique ideals
  34. Sun Jan 3 15:53:10 2021 reduce to 35265974 relations and 28410760 ideals in 13 passes
  35. Sun Jan 3 15:53:10 2021 max relations containing the same ideal: 159
  36. Sun Jan 3 15:53:25 2021 removing 4416571 relations and 3416571 ideals in 1000000 cliques
  37. Sun Jan 3 15:53:26 2021 commencing in-memory singleton removal
  38. Sun Jan 3 15:53:28 2021 begin with 30849403 relations and 28410760 unique ideals
  39. Sun Jan 3 15:53:46 2021 reduce to 30427060 relations and 24557245 ideals in 8 passes
  40. Sun Jan 3 15:53:46 2021 max relations containing the same ideal: 145
  41. Sun Jan 3 15:53:58 2021 removing 3483447 relations and 2483447 ideals in 1000000 cliques
  42. Sun Jan 3 15:53:59 2021 commencing in-memory singleton removal
  43. Sun Jan 3 15:54:01 2021 begin with 26943613 relations and 24557245 unique ideals
  44. Sun Jan 3 15:54:15 2021 reduce to 26644755 relations and 21765477 ideals in 7 passes
  45. Sun Jan 3 15:54:15 2021 max relations containing the same ideal: 137
  46. Sun Jan 3 15:54:25 2021 removing 3223342 relations and 2223342 ideals in 1000000 cliques
  47. Sun Jan 3 15:54:27 2021 commencing in-memory singleton removal
  48. Sun Jan 3 15:54:28 2021 begin with 23421413 relations and 21765477 unique ideals
  49. Sun Jan 3 15:54:43 2021 reduce to 23146530 relations and 19257887 ideals in 7 passes
  50. Sun Jan 3 15:54:43 2021 max relations containing the same ideal: 124
  51. Sun Jan 3 15:54:53 2021 removing 3096587 relations and 2096587 ideals in 1000000 cliques
  52. Sun Jan 3 15:54:54 2021 commencing in-memory singleton removal
  53. Sun Jan 3 15:54:55 2021 begin with 20049943 relations and 19257887 unique ideals
  54. Sun Jan 3 15:55:05 2021 reduce to 19777627 relations and 16878704 ideals in 7 passes
  55. Sun Jan 3 15:55:05 2021 max relations containing the same ideal: 112
  56. Sun Jan 3 15:55:13 2021 removing 3016011 relations and 2016011 ideals in 1000000 cliques
  57. Sun Jan 3 15:55:14 2021 commencing in-memory singleton removal
  58. Sun Jan 3 15:55:15 2021 begin with 16761616 relations and 16878704 unique ideals
  59. Sun Jan 3 15:55:23 2021 reduce to 16474734 relations and 14563289 ideals in 7 passes
  60. Sun Jan 3 15:55:23 2021 max relations containing the same ideal: 96
  61. Sun Jan 3 15:55:31 2021 removing 2959994 relations and 1959994 ideals in 1000000 cliques
  62. Sun Jan 3 15:55:32 2021 commencing in-memory singleton removal
  63. Sun Jan 3 15:55:33 2021 begin with 13514740 relations and 14563289 unique ideals
  64. Sun Jan 3 15:55:40 2021 reduce to 13195503 relations and 12267723 ideals in 8 passes
  65. Sun Jan 3 15:55:40 2021 max relations containing the same ideal: 83
  66. Sun Jan 3 15:55:45 2021 removing 1917214 relations and 1318582 ideals in 598632 cliques
  67. Sun Jan 3 15:55:46 2021 commencing in-memory singleton removal
  68. Sun Jan 3 15:55:46 2021 begin with 11278289 relations and 12267723 unique ideals
  69. Sun Jan 3 15:55:52 2021 reduce to 11103840 relations and 10767828 ideals in 7 passes
  70. Sun Jan 3 15:55:52 2021 max relations containing the same ideal: 75
  71. Sun Jan 3 15:55:59 2021 relations with 0 large ideals: 952
  72. Sun Jan 3 15:55:59 2021 relations with 1 large ideals: 3308
  73. Sun Jan 3 15:55:59 2021 relations with 2 large ideals: 48632
  74. Sun Jan 3 15:55:59 2021 relations with 3 large ideals: 324421
  75. Sun Jan 3 15:55:59 2021 relations with 4 large ideals: 1153025
  76. Sun Jan 3 15:55:59 2021 relations with 5 large ideals: 2400752
  77. Sun Jan 3 15:55:59 2021 relations with 6 large ideals: 3091419
  78. Sun Jan 3 15:55:59 2021 relations with 7+ large ideals: 4081331
  79. Sun Jan 3 15:55:59 2021 commencing 2-way merge
  80. Sun Jan 3 15:56:06 2021 reduce to 7560921 relation sets and 7224909 unique ideals
  81. Sun Jan 3 15:56:06 2021 commencing full merge
  82. Sun Jan 3 15:59:19 2021 memory use: 956.3 MB
  83. Sun Jan 3 15:59:19 2021 found 3345201 cycles, need 3329109
  84. Sun Jan 3 15:59:21 2021 weight of 3329109 cycles is about 433059373 (130.08/cycle)
  85. Sun Jan 3 15:59:21 2021 distribution of cycle lengths:
  86. Sun Jan 3 15:59:21 2021 1 relations: 54921
  87. Sun Jan 3 15:59:21 2021 2 relations: 154461
  88. Sun Jan 3 15:59:21 2021 3 relations: 208040
  89. Sun Jan 3 15:59:21 2021 4 relations: 228846
  90. Sun Jan 3 15:59:21 2021 5 relations: 245179
  91. Sun Jan 3 15:59:21 2021 6 relations: 248627
  92. Sun Jan 3 15:59:21 2021 7 relations: 249376
  93. Sun Jan 3 15:59:21 2021 8 relations: 240893
  94. Sun Jan 3 15:59:21 2021 9 relations: 228850
  95. Sun Jan 3 15:59:21 2021 10+ relations: 1469916
  96. Sun Jan 3 15:59:21 2021 heaviest cycle: 28 relations
  97. Sun Jan 3 15:59:22 2021 commencing cycle optimization
  98. Sun Jan 3 15:59:28 2021 start with 31710050 relations
  99. Sun Jan 3 16:00:54 2021 pruned 1773317 relations
  100. Sun Jan 3 16:00:54 2021 memory use: 787.8 MB
  101. Sun Jan 3 16:00:54 2021 distribution of cycle lengths:
  102. Sun Jan 3 16:00:54 2021 1 relations: 54921
  103. Sun Jan 3 16:00:54 2021 2 relations: 159602
  104. Sun Jan 3 16:00:54 2021 3 relations: 218851
  105. Sun Jan 3 16:00:54 2021 4 relations: 241126
  106. Sun Jan 3 16:00:54 2021 5 relations: 261434
  107. Sun Jan 3 16:00:54 2021 6 relations: 264625
  108. Sun Jan 3 16:00:54 2021 7 relations: 266918
  109. Sun Jan 3 16:00:54 2021 8 relations: 255830
  110. Sun Jan 3 16:00:54 2021 9 relations: 242779
  111. Sun Jan 3 16:00:54 2021 10+ relations: 1363023
  112. Sun Jan 3 16:00:54 2021 heaviest cycle: 28 relations
  113. Sun Jan 3 16:01:00 2021 RelProcTime: 1887
  114. Sun Jan 3 16:01:00 2021 elapsed time 00:31:28
  115. Sun Jan 3 16:03:30 2021
  116. Sun Jan 3 16:03:30 2021
  117. Sun Jan 3 16:03:30 2021 Msieve v. 1.54 (SVN 1025)
  118. Sun Jan 3 16:03:30 2021 random seeds: b9120ff0 14fbb9f9
  119. Sun Jan 3 16:03:30 2021 factoring 42747399366326575436890998251197739865175287323845808727558864347441076091174561765734821127432386080479333756929756731529941716874792720763683420970186503 (155 digits)
  120. Sun Jan 3 16:03:31 2021 no P-1/P+1/ECM available, skipping
  121. Sun Jan 3 16:03:31 2021 commencing number field sieve (155-digit input)
  122. Sun Jan 3 16:03:31 2021 R0: -1197104300227497998796300428814
  123. Sun Jan 3 16:03:31 2021 R1: 120959143280491321
  124. Sun Jan 3 16:03:31 2021 A0: -523152288641183083714792059487941054425
  125. Sun Jan 3 16:03:31 2021 A1: 63996785751320621336788053397700
  126. Sun Jan 3 16:03:31 2021 A2: 33436075165631801388890052
  127. Sun Jan 3 16:03:31 2021 A3: -3396560417438463212
  128. Sun Jan 3 16:03:31 2021 A4: 44657346257
  129. Sun Jan 3 16:03:31 2021 A5: 17388
  130. Sun Jan 3 16:03:31 2021 skew 9799253.81, size 4.871e-15, alpha -7.314, combined = 2.904e-12 rroots = 3
  131. Sun Jan 3 16:03:31 2021
  132. Sun Jan 3 16:03:31 2021 commencing linear algebra
  133. Sun Jan 3 16:03:32 2021 read 3329109 cycles
  134. Sun Jan 3 16:03:41 2021 cycles contain 10910451 unique relations
  135. Sun Jan 3 16:05:55 2021 read 10910451 relations
  136. Sun Jan 3 16:06:14 2021 using 20 quadratic characters above 4294917295
  137. Sun Jan 3 16:06:59 2021 building initial matrix
  138. Sun Jan 3 16:09:49 2021 memory use: 1525.6 MB
  139. Sun Jan 3 16:09:51 2021 read 3329109 cycles
  140. Sun Jan 3 16:09:52 2021 matrix is 3328932 x 3329109 (1667.6 MB) with weight 508612080 (152.78/col)
  141. Sun Jan 3 16:09:52 2021 sparse part has weight 397203011 (119.31/col)
  142. Sun Jan 3 16:10:29 2021 filtering completed in 2 passes
  143. Sun Jan 3 16:10:30 2021 matrix is 3328905 x 3329082 (1667.6 MB) with weight 508610660 (152.78/col)
  144. Sun Jan 3 16:10:30 2021 sparse part has weight 397202685 (119.31/col)
  145. Sun Jan 3 16:10:43 2021 matrix starts at (0, 0)
  146. Sun Jan 3 16:10:43 2021 matrix is 3328905 x 3329082 (1667.6 MB) with weight 508610660 (152.78/col)
  147. Sun Jan 3 16:10:43 2021 sparse part has weight 397202685 (119.31/col)
  148. Sun Jan 3 16:10:43 2021 saving the first 48 matrix rows for later
  149. Sun Jan 3 16:10:44 2021 matrix includes 64 packed rows
  150. Sun Jan 3 16:10:44 2021 matrix is 3328857 x 3329082 (1618.9 MB) with weight 436360882 (131.08/col)
  151. Sun Jan 3 16:10:44 2021 sparse part has weight 391094209 (117.48/col)
  152. Sun Jan 3 16:10:44 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  153. Sun Jan 3 16:10:55 2021 commencing Lanczos iteration
  154. Sun Jan 3 16:10:55 2021 memory use: 1488.9 MB
  155. Sun Jan 3 16:11:06 2021 lanczos halted after 7 iterations (dim = 444)
  156. Sun Jan 3 16:11:06 2021 BLanczosTime: 455
  157. Sun Jan 3 16:11:06 2021 elapsed time 00:07:36
  158. Sun Jan 3 16:28:37 2021
  159. Sun Jan 3 16:28:37 2021
  160. Sun Jan 3 16:28:37 2021 Msieve v. 1.52 (SVN exported)
  161. Sun Jan 3 16:28:37 2021 random seeds: f1930790 e3c6fda7
  162. Sun Jan 3 16:28:37 2021 factoring 42747399366326575436890998251197739865175287323845808727558864347441076091174561765734821127432386080479333756929756731529941716874792720763683420970186503 (155 digits)
  163. Sun Jan 3 16:28:38 2021 searching for 15-digit factors
  164. Sun Jan 3 16:28:41 2021 commencing number field sieve (155-digit input)
  165. Sun Jan 3 16:28:41 2021 R0: -1197104300227497998796300428814
  166. Sun Jan 3 16:28:41 2021 R1: 120959143280491321
  167. Sun Jan 3 16:28:41 2021 A0: -523152288641183083714792059487941054425
  168. Sun Jan 3 16:28:41 2021 A1: 63996785751320621336788053397700
  169. Sun Jan 3 16:28:41 2021 A2: 33436075165631801388890052
  170. Sun Jan 3 16:28:41 2021 A3: -3396560417438463212
  171. Sun Jan 3 16:28:41 2021 A4: 44657346257
  172. Sun Jan 3 16:28:41 2021 A5: 17388
  173. Sun Jan 3 16:28:41 2021 skew 9799253.81, size 4.871e-15, alpha -7.314, combined = 2.904e-12 rroots = 3
  174. Sun Jan 3 16:28:41 2021
  175. Sun Jan 3 16:28:41 2021 commencing linear algebra
  176. Sun Jan 3 16:28:41 2021 skipping matrix build
  177. Sun Jan 3 16:28:45 2021 matrix starts at (0, 0)
  178. Sun Jan 3 16:28:47 2021 matrix is 3328905 x 3329082 (1667.6 MB) with weight 508610660 (152.78/col)
  179. Sun Jan 3 16:28:47 2021 sparse part has weight 397202685 (119.31/col)
  180. Sun Jan 3 16:28:47 2021 saving the first 48 matrix rows for later
  181. Sun Jan 3 16:28:48 2021 matrix includes 64 packed rows
  182. Sun Jan 3 16:28:49 2021 matrix is 3328857 x 3329082 (1618.9 MB) with weight 436360882 (131.08/col)
  183. Sun Jan 3 16:28:49 2021 sparse part has weight 391094209 (117.48/col)
  184. Sun Jan 3 16:28:49 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  185. Sun Jan 3 16:29:14 2021 commencing Lanczos iteration (4 threads)
  186. Sun Jan 3 16:29:14 2021 memory use: 1333.4 MB
  187. Sun Jan 3 16:29:46 2021 linear algebra at 0.0%, ETA 18h18m
  188. Sun Jan 3 16:29:56 2021 checkpointing every 190000 dimensions
  189. Mon Jan 4 11:41:13 2021 lanczos halted after 52644 iterations (dim = 3328857)
  190. Mon Jan 4 11:41:18 2021 recovered 31 nontrivial dependencies
  191. Mon Jan 4 11:41:18 2021 BLanczosTime: 69157
  192. Mon Jan 4 11:41:18 2021 elapsed time 19:12:41
  193. Mon Jan 4 12:41:40 2021
  194. Mon Jan 4 12:41:40 2021
  195. Mon Jan 4 12:41:40 2021 Msieve v. 1.54 (SVN 1025)
  196. Mon Jan 4 12:41:40 2021 random seeds: 696b94ae a9756387
  197. Mon Jan 4 12:41:40 2021 factoring 42747399366326575436890998251197739865175287323845808727558864347441076091174561765734821127432386080479333756929756731529941716874792720763683420970186503 (155 digits)
  198. Mon Jan 4 12:41:40 2021 no P-1/P+1/ECM available, skipping
  199. Mon Jan 4 12:41:40 2021 commencing number field sieve (155-digit input)
  200. Mon Jan 4 12:41:40 2021 R0: -1197104300227497998796300428814
  201. Mon Jan 4 12:41:40 2021 R1: 120959143280491321
  202. Mon Jan 4 12:41:40 2021 A0: -523152288641183083714792059487941054425
  203. Mon Jan 4 12:41:40 2021 A1: 63996785751320621336788053397700
  204. Mon Jan 4 12:41:40 2021 A2: 33436075165631801388890052
  205. Mon Jan 4 12:41:40 2021 A3: -3396560417438463212
  206. Mon Jan 4 12:41:40 2021 A4: 44657346257
  207. Mon Jan 4 12:41:40 2021 A5: 17388
  208. Mon Jan 4 12:41:40 2021 skew 9799253.81, size 4.871e-15, alpha -7.314, combined = 2.904e-12 rroots = 3
  209. Mon Jan 4 12:41:40 2021
  210. Mon Jan 4 12:41:40 2021 commencing square root phase
  211. Mon Jan 4 12:41:40 2021 reading relations for dependency 1
  212. Mon Jan 4 12:41:41 2021 read 1664925 cycles
  213. Mon Jan 4 12:41:45 2021 cycles contain 5456024 unique relations
  214. Mon Jan 4 12:43:08 2021 read 5456024 relations
  215. Mon Jan 4 12:43:42 2021 multiplying 5456024 relations
  216. Mon Jan 4 12:49:55 2021 multiply complete, coefficients have about 273.35 million bits
  217. Mon Jan 4 12:49:58 2021 initial square root is modulo 80317
  218. Mon Jan 4 12:57:21 2021 GCD is 1, no factor found
  219. Mon Jan 4 12:57:21 2021 reading relations for dependency 2
  220. Mon Jan 4 12:57:22 2021 read 1664197 cycles
  221. Mon Jan 4 12:57:27 2021 cycles contain 5454970 unique relations
  222. Mon Jan 4 12:59:05 2021 read 5454970 relations
  223. Mon Jan 4 12:59:37 2021 multiplying 5454970 relations
  224. Mon Jan 4 13:05:31 2021 multiply complete, coefficients have about 273.30 million bits
  225. Mon Jan 4 13:05:32 2021 initial square root is modulo 80173
  226. Mon Jan 4 13:13:06 2021 GCD is N, no factor found
  227. Mon Jan 4 13:13:06 2021 reading relations for dependency 3
  228. Mon Jan 4 13:13:07 2021 read 1665322 cycles
  229. Mon Jan 4 13:13:11 2021 cycles contain 5458724 unique relations
  230. Mon Jan 4 13:14:49 2021 read 5458724 relations
  231. Mon Jan 4 13:15:27 2021 multiplying 5458724 relations
  232. Mon Jan 4 13:20:54 2021 multiply complete, coefficients have about 273.49 million bits
  233. Mon Jan 4 13:20:55 2021 initial square root is modulo 80803
  234. Mon Jan 4 13:25:29 2021 GCD is 1, no factor found
  235. Mon Jan 4 13:25:29 2021 reading relations for dependency 4
  236. Mon Jan 4 13:25:29 2021 read 1664296 cycles
  237. Mon Jan 4 13:25:33 2021 cycles contain 5454716 unique relations
  238. Mon Jan 4 13:27:07 2021 read 5454716 relations
  239. Mon Jan 4 13:27:45 2021 multiplying 5454716 relations
  240. Mon Jan 4 13:33:13 2021 multiply complete, coefficients have about 273.29 million bits
  241. Mon Jan 4 13:33:14 2021 initial square root is modulo 80141
  242. Mon Jan 4 13:39:26 2021 sqrtTime: 3466
  243. Mon Jan 4 13:39:26 2021 p57 factor: 104131082493225012109194448247859277698427605191546105477
  244. Mon Jan 4 13:39:26 2021 p99 factor: 410515269243530733630918508187117665259848499786147192361865208610073624997259613663186208138707739
  245. Mon Jan 4 13:39:26 2021 elapsed time 00:57:46
  246.  
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