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Apr 21st, 2023
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  1. Wed Apr 19 16:37:57 2023 Msieve v. 1.54 (SVN 1028)
  2. Wed Apr 19 16:37:57 2023 random seeds: 3aab303f dbb3f16d
  3. Wed Apr 19 16:37:57 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits)
  4. Wed Apr 19 16:37:58 2023 no P-1/P+1/ECM available, skipping
  5. Wed Apr 19 16:37:58 2023 commencing number field sieve (171-digit input)
  6. Wed Apr 19 16:37:58 2023 R0: 21778071482940061661655974875633165533184
  7. Wed Apr 19 16:37:58 2023 R1: -1
  8. Wed Apr 19 16:37:58 2023 A0: -1
  9. Wed Apr 19 16:37:58 2023 A1: 0
  10. Wed Apr 19 16:37:58 2023 A2: 0
  11. Wed Apr 19 16:37:58 2023 A3: 0
  12. Wed Apr 19 16:37:58 2023 A4: 0
  13. Wed Apr 19 16:37:58 2023 A5: 0
  14. Wed Apr 19 16:37:58 2023 A6: 10
  15. Wed Apr 19 16:37:58 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2
  16. Wed Apr 19 16:37:58 2023
  17. Wed Apr 19 16:37:58 2023 commencing relation filtering
  18. Wed Apr 19 16:37:58 2023 setting target matrix density to 110.0
  19. Wed Apr 19 16:37:58 2023 estimated available RAM is 128848.2 MB
  20. Wed Apr 19 16:37:58 2023 commencing duplicate removal, pass 1
  21. Wed Apr 19 17:13:09 2023 error -15 reading relation 175789711
  22. Wed Apr 19 17:16:15 2023 skipped 130 relations with b > 2^32
  23. Wed Apr 19 17:16:15 2023 found 8059181 hash collisions in 191530140 relations
  24. Wed Apr 19 17:16:39 2023 added 1218323 free relations
  25. Wed Apr 19 17:16:39 2023 commencing duplicate removal, pass 2
  26. Wed Apr 19 17:18:02 2023 found 0 duplicates and 192748463 unique relations
  27. Wed Apr 19 17:18:02 2023 memory use: 522.4 MB
  28. Wed Apr 19 17:18:02 2023 reading ideals above 720000
  29. Wed Apr 19 17:18:03 2023 commencing singleton removal, initial pass
  30. Wed Apr 19 17:57:51 2023 memory use: 5512.0 MB
  31. Wed Apr 19 17:57:51 2023 reading all ideals from disk
  32. Wed Apr 19 17:57:56 2023 memory use: 7494.4 MB
  33. Wed Apr 19 17:58:31 2023 keeping 189352230 ideals with weight <= 200, target excess is 1234812
  34. Wed Apr 19 17:59:12 2023 commencing in-memory singleton removal
  35. Wed Apr 19 17:59:36 2023 begin with 192748463 relations and 189352230 unique ideals
  36. Wed Apr 19 18:04:34 2023 reduce to 91977008 relations and 75641364 ideals in 17 passes
  37. Wed Apr 19 18:04:34 2023 max relations containing the same ideal: 127
  38. Wed Apr 19 18:05:39 2023 removing 10856143 relations and 8856143 ideals in 2000000 cliques
  39. Wed Apr 19 18:05:43 2023 commencing in-memory singleton removal
  40. Wed Apr 19 18:05:52 2023 begin with 81120865 relations and 75641364 unique ideals
  41. Wed Apr 19 18:07:55 2023 reduce to 80191492 relations and 65831506 ideals in 9 passes
  42. Wed Apr 19 18:07:55 2023 max relations containing the same ideal: 116
  43. Wed Apr 19 18:08:51 2023 removing 8397792 relations and 6397792 ideals in 2000000 cliques
  44. Wed Apr 19 18:08:55 2023 commencing in-memory singleton removal
  45. Wed Apr 19 18:09:03 2023 begin with 71793700 relations and 65831506 unique ideals
  46. Wed Apr 19 18:10:44 2023 reduce to 71129425 relations and 58753311 ideals in 9 passes
  47. Wed Apr 19 18:10:44 2023 max relations containing the same ideal: 105
  48. Wed Apr 19 18:11:33 2023 removing 7690050 relations and 5690050 ideals in 2000000 cliques
  49. Wed Apr 19 18:11:36 2023 commencing in-memory singleton removal
  50. Wed Apr 19 18:11:43 2023 begin with 63439375 relations and 58753311 unique ideals
  51. Wed Apr 19 18:13:15 2023 reduce to 62817076 relations and 52424693 ideals in 9 passes
  52. Wed Apr 19 18:13:15 2023 max relations containing the same ideal: 99
  53. Wed Apr 19 18:13:59 2023 removing 7344798 relations and 5344798 ideals in 2000000 cliques
  54. Wed Apr 19 18:14:02 2023 commencing in-memory singleton removal
  55. Wed Apr 19 18:14:08 2023 begin with 55472278 relations and 52424693 unique ideals
  56. Wed Apr 19 18:15:13 2023 reduce to 54837561 relations and 46427175 ideals in 8 passes
  57. Wed Apr 19 18:15:13 2023 max relations containing the same ideal: 88
  58. Wed Apr 19 18:15:51 2023 removing 7162342 relations and 5162342 ideals in 2000000 cliques
  59. Wed Apr 19 18:15:54 2023 commencing in-memory singleton removal
  60. Wed Apr 19 18:15:58 2023 begin with 47675219 relations and 46427175 unique ideals
  61. Wed Apr 19 18:16:58 2023 reduce to 46992561 relations and 40560190 ideals in 8 passes
  62. Wed Apr 19 18:16:58 2023 max relations containing the same ideal: 80
  63. Wed Apr 19 18:17:31 2023 removing 7067061 relations and 5067061 ideals in 2000000 cliques
  64. Wed Apr 19 18:17:34 2023 commencing in-memory singleton removal
  65. Wed Apr 19 18:17:39 2023 begin with 39925500 relations and 40560190 unique ideals
  66. Wed Apr 19 18:18:40 2023 reduce to 39148312 relations and 34687050 ideals in 10 passes
  67. Wed Apr 19 18:18:40 2023 max relations containing the same ideal: 70
  68. Wed Apr 19 18:19:09 2023 removing 7050925 relations and 5050925 ideals in 2000000 cliques
  69. Wed Apr 19 18:19:12 2023 commencing in-memory singleton removal
  70. Wed Apr 19 18:19:15 2023 begin with 32097387 relations and 34687050 unique ideals
  71. Wed Apr 19 18:20:02 2023 reduce to 31151537 relations and 28648177 ideals in 9 passes
  72. Wed Apr 19 18:20:02 2023 max relations containing the same ideal: 63
  73. Wed Apr 19 18:20:25 2023 removing 4379749 relations and 3308771 ideals in 1070978 cliques
  74. Wed Apr 19 18:20:27 2023 commencing in-memory singleton removal
  75. Wed Apr 19 18:20:30 2023 begin with 26771788 relations and 28648177 unique ideals
  76. Wed Apr 19 18:21:00 2023 reduce to 26305409 relations and 24858735 ideals in 9 passes
  77. Wed Apr 19 18:21:00 2023 max relations containing the same ideal: 57
  78. Wed Apr 19 18:21:19 2023 removing 118221 relations and 103929 ideals in 14292 cliques
  79. Wed Apr 19 18:21:20 2023 commencing in-memory singleton removal
  80. Wed Apr 19 18:21:23 2023 begin with 26187188 relations and 24858735 unique ideals
  81. Wed Apr 19 18:21:42 2023 reduce to 26186847 relations and 24754465 ideals in 5 passes
  82. Wed Apr 19 18:21:42 2023 max relations containing the same ideal: 57
  83. Wed Apr 19 18:21:49 2023 relations with 0 large ideals: 44111
  84. Wed Apr 19 18:21:49 2023 relations with 1 large ideals: 82348
  85. Wed Apr 19 18:21:49 2023 relations with 2 large ideals: 622438
  86. Wed Apr 19 18:21:49 2023 relations with 3 large ideals: 2452354
  87. Wed Apr 19 18:21:49 2023 relations with 4 large ideals: 5486605
  88. Wed Apr 19 18:21:49 2023 relations with 5 large ideals: 7289797
  89. Wed Apr 19 18:21:49 2023 relations with 6 large ideals: 5896306
  90. Wed Apr 19 18:21:49 2023 relations with 7+ large ideals: 4312888
  91. Wed Apr 19 18:21:49 2023 commencing 2-way merge
  92. Wed Apr 19 18:22:12 2023 reduce to 15734927 relation sets and 14302545 unique ideals
  93. Wed Apr 19 18:22:12 2023 commencing full merge
  94. Wed Apr 19 18:29:40 2023 memory use: 1761.9 MB
  95. Wed Apr 19 18:29:42 2023 found 7180329 cycles, need 7032745
  96. Wed Apr 19 18:29:46 2023 weight of 7032745 cycles is about 773935313 (110.05/cycle)
  97. Wed Apr 19 18:29:46 2023 distribution of cycle lengths:
  98. Wed Apr 19 18:29:46 2023 1 relations: 509192
  99. Wed Apr 19 18:29:46 2023 2 relations: 478840
  100. Wed Apr 19 18:29:46 2023 3 relations: 499170
  101. Wed Apr 19 18:29:46 2023 4 relations: 505428
  102. Wed Apr 19 18:29:46 2023 5 relations: 518264
  103. Wed Apr 19 18:29:46 2023 6 relations: 511351
  104. Wed Apr 19 18:29:46 2023 7 relations: 499825
  105. Wed Apr 19 18:29:46 2023 8 relations: 479004
  106. Wed Apr 19 18:29:46 2023 9 relations: 449441
  107. Wed Apr 19 18:29:46 2023 10+ relations: 2582230
  108. Wed Apr 19 18:29:46 2023 heaviest cycle: 27 relations
  109. Wed Apr 19 18:29:50 2023 commencing cycle optimization
  110. Wed Apr 19 18:30:12 2023 start with 57875878 relations
  111. Wed Apr 19 18:33:11 2023 pruned 2272455 relations
  112. Wed Apr 19 18:33:11 2023 memory use: 1643.4 MB
  113. Wed Apr 19 18:33:11 2023 distribution of cycle lengths:
  114. Wed Apr 19 18:33:11 2023 1 relations: 509192
  115. Wed Apr 19 18:33:11 2023 2 relations: 489404
  116. Wed Apr 19 18:33:11 2023 3 relations: 517791
  117. Wed Apr 19 18:33:11 2023 4 relations: 524073
  118. Wed Apr 19 18:33:11 2023 5 relations: 541824
  119. Wed Apr 19 18:33:11 2023 6 relations: 533703
  120. Wed Apr 19 18:33:11 2023 7 relations: 524111
  121. Wed Apr 19 18:33:11 2023 8 relations: 500186
  122. Wed Apr 19 18:33:11 2023 9 relations: 468284
  123. Wed Apr 19 18:33:11 2023 10+ relations: 2424177
  124. Wed Apr 19 18:33:11 2023 heaviest cycle: 26 relations
  125. Wed Apr 19 18:33:31 2023 RelProcTime: 6933
  126. Wed Apr 19 18:33:31 2023 elapsed time 01:55:34
  127. Wed Apr 19 18:36:12 2023
  128. Wed Apr 19 18:36:12 2023
  129. Wed Apr 19 18:36:12 2023 Msieve v. 1.54 (SVN 1028)
  130. Wed Apr 19 18:36:12 2023 random seeds: e872cc23 e255d15a
  131. Wed Apr 19 18:36:12 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits)
  132. Wed Apr 19 18:36:13 2023 no P-1/P+1/ECM available, skipping
  133. Wed Apr 19 18:36:13 2023 commencing number field sieve (171-digit input)
  134. Wed Apr 19 18:36:13 2023 R0: 21778071482940061661655974875633165533184
  135. Wed Apr 19 18:36:13 2023 R1: -1
  136. Wed Apr 19 18:36:13 2023 A0: -1
  137. Wed Apr 19 18:36:13 2023 A1: 0
  138. Wed Apr 19 18:36:13 2023 A2: 0
  139. Wed Apr 19 18:36:13 2023 A3: 0
  140. Wed Apr 19 18:36:13 2023 A4: 0
  141. Wed Apr 19 18:36:13 2023 A5: 0
  142. Wed Apr 19 18:36:13 2023 A6: 10
  143. Wed Apr 19 18:36:13 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2
  144. Wed Apr 19 18:36:13 2023
  145. Wed Apr 19 18:36:13 2023 commencing linear algebra
  146. Wed Apr 19 18:36:15 2023 read 7032745 cycles
  147. Wed Apr 19 18:36:39 2023 cycles contain 25272022 unique relations
  148. Wed Apr 19 18:40:38 2023 read 25272022 relations
  149. Wed Apr 19 18:41:45 2023 using 20 quadratic characters above 4294917295
  150. Wed Apr 19 18:44:09 2023 building initial matrix
  151. Wed Apr 19 18:51:34 2023 memory use: 3147.2 MB
  152. Wed Apr 19 18:51:39 2023 read 7032745 cycles
  153. Wed Apr 19 18:51:40 2023 matrix is 7032561 x 7032745 (3070.5 MB) with weight 885170345 (125.86/col)
  154. Wed Apr 19 18:51:40 2023 sparse part has weight 727559222 (103.45/col)
  155. Wed Apr 19 18:53:54 2023 filtering completed in 2 passes
  156. Wed Apr 19 18:53:56 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col)
  157. Wed Apr 19 18:53:56 2023 sparse part has weight 727517923 (103.47/col)
  158. Wed Apr 19 18:54:25 2023 matrix starts at (0, 0)
  159. Wed Apr 19 18:54:27 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col)
  160. Wed Apr 19 18:54:27 2023 sparse part has weight 727517923 (103.47/col)
  161. Wed Apr 19 18:54:27 2023 saving the first 112 matrix rows for later
  162. Wed Apr 19 18:54:28 2023 matrix includes 128 packed rows
  163. Wed Apr 19 18:54:31 2023 matrix is 7030715 x 7031011 (2872.4 MB) with weight 704377664 (100.18/col)
  164. Wed Apr 19 18:54:31 2023 sparse part has weight 668608612 (95.09/col)
  165. Wed Apr 19 18:54:31 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  166. Wed Apr 19 18:55:03 2023 commencing Lanczos iteration (2 threads)
  167. Wed Apr 19 18:55:03 2023 memory use: 3192.1 MB
  168. Wed Apr 19 18:56:45 2023 linear algebra at 0.0%, ETA 119h53m
  169. Wed Apr 19 18:57:18 2023 checkpointing every 60000 dimensions
  170. Thu Apr 20 07:29:29 2023 lanczos halted after 5914 iterations (dim = 752455)
  171. Thu Apr 20 07:29:30 2023 BLanczosTime: 46397
  172. Thu Apr 20 07:29:30 2023
  173. Thu Apr 20 07:29:30 2023 commencing square root phase
  174. Thu Apr 20 07:29:30 2023 reading relations for dependency 1
  175. Thu Apr 20 07:29:30 2023 error: read_cycles can't open dependency file
  176. Thu Apr 20 07:29:49 2023
  177. Thu Apr 20 07:29:49 2023
  178. Thu Apr 20 07:29:49 2023 Msieve v. 1.54 (SVN 1028)
  179. Thu Apr 20 07:29:49 2023 random seeds: d4ae5862 5d250545
  180. Thu Apr 20 07:29:49 2023 factoring 118354212048034440260770666012384604585708866855163755902627430032278410259431679216123491529460487615637949799034384443542632723143930319885266498118867280848493821817431 (171 digits)
  181. Thu Apr 20 07:29:50 2023 no P-1/P+1/ECM available, skipping
  182. Thu Apr 20 07:29:50 2023 commencing number field sieve (171-digit input)
  183. Thu Apr 20 07:29:50 2023 R0: 21778071482940061661655974875633165533184
  184. Thu Apr 20 07:29:50 2023 R1: -1
  185. Thu Apr 20 07:29:50 2023 A0: -1
  186. Thu Apr 20 07:29:50 2023 A1: 0
  187. Thu Apr 20 07:29:50 2023 A2: 0
  188. Thu Apr 20 07:29:50 2023 A3: 0
  189. Thu Apr 20 07:29:50 2023 A4: 0
  190. Thu Apr 20 07:29:50 2023 A5: 0
  191. Thu Apr 20 07:29:50 2023 A6: 10
  192. Thu Apr 20 07:29:50 2023 skew 0.88, size 6.376e-12, alpha 1.180, combined = 4.555e-13 rroots = 2
  193. Thu Apr 20 07:29:50 2023
  194. Thu Apr 20 07:29:50 2023 commencing linear algebra
  195. Thu Apr 20 07:29:55 2023 matrix starts at (0, 0)
  196. Thu Apr 20 07:29:56 2023 matrix is 7030827 x 7031011 (3070.3 MB) with weight 885089278 (125.88/col)
  197. Thu Apr 20 07:29:56 2023 sparse part has weight 727517923 (103.47/col)
  198. Thu Apr 20 07:29:56 2023 saving the first 112 matrix rows for later
  199. Thu Apr 20 07:29:58 2023 matrix includes 128 packed rows
  200. Thu Apr 20 07:30:01 2023 matrix is 7030715 x 7031011 (2872.4 MB) with weight 704377664 (100.18/col)
  201. Thu Apr 20 07:30:01 2023 sparse part has weight 668608612 (95.09/col)
  202. Thu Apr 20 07:30:01 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  203. Thu Apr 20 07:30:31 2023 commencing Lanczos iteration (10 threads)
  204. Thu Apr 20 07:30:31 2023 memory use: 3192.5 MB
  205. Thu Apr 20 07:30:32 2023 restarting at iteration 5914 (dim = 752455)
  206. Thu Apr 20 07:30:53 2023 linear algebra at 10.7%, ETA 23h56m
  207. Thu Apr 20 07:30:55 2023 checkpointing every 260000 dimensions
  208. Thu Apr 20 22:54:11 2023 lanczos halted after 55259 iterations (dim = 7030713)
  209. Thu Apr 20 22:54:22 2023 recovered 36 nontrivial dependencies
  210. Thu Apr 20 22:54:22 2023 BLanczosTime: 55472
  211. Thu Apr 20 22:54:22 2023
  212. Thu Apr 20 22:54:22 2023 commencing square root phase
  213. Thu Apr 20 22:54:22 2023 reading relations for dependency 1
  214. Thu Apr 20 22:54:23 2023 read 3514600 cycles
  215. Thu Apr 20 22:54:29 2023 cycles contain 12635484 unique relations
  216. Thu Apr 20 22:55:50 2023 read 12635484 relations
  217. Thu Apr 20 22:56:39 2023 multiplying 12635484 relations
  218. Thu Apr 20 23:05:04 2023 multiply complete, coefficients have about 355.45 million bits
  219. Thu Apr 20 23:05:05 2023 initial square root is modulo 2387767
  220. Thu Apr 20 23:15:58 2023 sqrtTime: 1296
  221. Thu Apr 20 23:15:58 2023 p73 factor: 2727938612099748894232420543813325433637631107194375632947496697679643317
  222. Thu Apr 20 23:15:58 2023 p98 factor: 43385951400473354780665391079624153188134064811871474242973993072408517615000705192499011283684443
  223. Thu Apr 20 23:15:58 2023 elapsed time 15:46:09
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