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Mar 29th, 2021
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  1. Sun Mar 28 09:21:25 2021
  2. Sun Mar 28 09:21:25 2021 Msieve v. 1.54 (SVN 1025)
  3. Sun Mar 28 09:21:25 2021 random seeds: 53a2e594 d178fb26
  4. Sun Mar 28 09:21:25 2021 factoring 163733749621585775236642428810867792814035295238697223145388666217339364433253163532817393791036694598457987571487633031533268985009479829610606467294645842126661139024525080951 (177 digits)
  5. Sun Mar 28 09:21:26 2021 searching for 15-digit factors
  6. Sun Mar 28 09:21:26 2021 commencing number field sieve (177-digit input)
  7. Sun Mar 28 09:21:26 2021 R0: 237916085520023302947010376750220097331
  8. Sun Mar 28 09:21:26 2021 R1: -1
  9. Sun Mar 28 09:21:26 2021 A0: 1
  10. Sun Mar 28 09:21:26 2021 A1: 1
  11. Sun Mar 28 09:21:26 2021 A2: 1
  12. Sun Mar 28 09:21:26 2021 A3: 1
  13. Sun Mar 28 09:21:26 2021 A4: 1
  14. Sun Mar 28 09:21:26 2021 A5: 1
  15. Sun Mar 28 09:21:26 2021 A6: 1
  16. Sun Mar 28 09:21:26 2021 skew 1.00, size 2.110e-11, alpha 2.428, combined = 1.098e-12 rroots = 0
  17. Sun Mar 28 09:21:26 2021
  18. Sun Mar 28 09:21:26 2021 commencing relation filtering
  19. Sun Mar 28 09:21:26 2021 setting target matrix density to 116.0
  20. Sun Mar 28 09:21:26 2021 estimated available RAM is 15984.6 MB
  21. Sun Mar 28 09:21:26 2021 commencing duplicate removal, pass 1
  22. Sun Mar 28 09:32:45 2021 error -1 reading relation 71184496
  23. Sun Mar 28 09:34:05 2021 error -15 reading relation 80753699
  24. Sun Mar 28 09:39:42 2021 skipped 11 relations with b > 2^32
  25. Sun Mar 28 09:39:42 2021 skipped 1 relations with composite factors
  26. Sun Mar 28 09:39:42 2021 found 5633769 hash collisions in 113941027 relations
  27. Sun Mar 28 09:39:53 2021 added 2438534 free relations
  28. Sun Mar 28 09:39:53 2021 commencing duplicate removal, pass 2
  29. Sun Mar 28 09:40:35 2021 found 0 duplicates and 116379561 unique relations
  30. Sun Mar 28 09:40:35 2021 memory use: 378.4 MB
  31. Sun Mar 28 09:40:35 2021 reading ideals above 79888384
  32. Sun Mar 28 09:40:35 2021 commencing singleton removal, initial pass
  33. Sun Mar 28 09:54:59 2021 memory use: 2756.0 MB
  34. Sun Mar 28 09:54:59 2021 reading all ideals from disk
  35. Sun Mar 28 09:55:03 2021 memory use: 2090.6 MB
  36. Sun Mar 28 09:55:10 2021 commencing in-memory singleton removal
  37. Sun Mar 28 09:55:17 2021 begin with 116379561 relations and 86732186 unique ideals
  38. Sun Mar 28 09:56:19 2021 reduce to 88801346 relations and 57136889 ideals in 11 passes
  39. Sun Mar 28 09:56:19 2021 max relations containing the same ideal: 47
  40. Sun Mar 28 09:56:25 2021 reading ideals above 720000
  41. Sun Mar 28 09:56:26 2021 commencing singleton removal, initial pass
  42. Sun Mar 28 10:10:32 2021 memory use: 1506.0 MB
  43. Sun Mar 28 10:10:32 2021 reading all ideals from disk
  44. Sun Mar 28 10:10:40 2021 memory use: 3363.8 MB
  45. Sun Mar 28 10:10:54 2021 keeping 66022295 ideals with weight <= 200, target excess is 440545
  46. Sun Mar 28 10:11:06 2021 commencing in-memory singleton removal
  47. Sun Mar 28 10:11:18 2021 begin with 88801346 relations and 66022295 unique ideals
  48. Sun Mar 28 10:11:48 2021 reduce to 88801336 relations and 66022285 ideals in 3 passes
  49. Sun Mar 28 10:11:48 2021 max relations containing the same ideal: 200
  50. Sun Mar 28 10:12:36 2021 removing 7618861 relations and 5618861 ideals in 2000000 cliques
  51. Sun Mar 28 10:12:39 2021 commencing in-memory singleton removal
  52. Sun Mar 28 10:12:49 2021 begin with 81182475 relations and 66022285 unique ideals
  53. Sun Mar 28 10:13:59 2021 reduce to 80634029 relations and 59839129 ideals in 8 passes
  54. Sun Mar 28 10:13:59 2021 max relations containing the same ideal: 195
  55. Sun Mar 28 10:14:28 2021 removing 6167874 relations and 4167874 ideals in 2000000 cliques
  56. Sun Mar 28 10:14:31 2021 commencing in-memory singleton removal
  57. Sun Mar 28 10:14:37 2021 begin with 74466155 relations and 59839129 unique ideals
  58. Sun Mar 28 10:15:27 2021 reduce to 74083641 relations and 55278939 ideals in 7 passes
  59. Sun Mar 28 10:15:27 2021 max relations containing the same ideal: 188
  60. Sun Mar 28 10:16:07 2021 removing 5783611 relations and 3783611 ideals in 2000000 cliques
  61. Sun Mar 28 10:16:09 2021 commencing in-memory singleton removal
  62. Sun Mar 28 10:16:17 2021 begin with 68300030 relations and 55278939 unique ideals
  63. Sun Mar 28 10:17:10 2021 reduce to 67957931 relations and 51144416 ideals in 7 passes
  64. Sun Mar 28 10:17:10 2021 max relations containing the same ideal: 178
  65. Sun Mar 28 10:17:47 2021 removing 5595343 relations and 3595343 ideals in 2000000 cliques
  66. Sun Mar 28 10:17:49 2021 commencing in-memory singleton removal
  67. Sun Mar 28 10:17:56 2021 begin with 62362588 relations and 51144416 unique ideals
  68. Sun Mar 28 10:18:36 2021 reduce to 62029396 relations and 47206844 ideals in 6 passes
  69. Sun Mar 28 10:18:36 2021 max relations containing the same ideal: 170
  70. Sun Mar 28 10:19:10 2021 removing 5486689 relations and 3486689 ideals in 2000000 cliques
  71. Sun Mar 28 10:19:12 2021 commencing in-memory singleton removal
  72. Sun Mar 28 10:19:19 2021 begin with 56542707 relations and 47206844 unique ideals
  73. Sun Mar 28 10:19:54 2021 reduce to 56202711 relations and 43370222 ideals in 6 passes
  74. Sun Mar 28 10:19:54 2021 max relations containing the same ideal: 157
  75. Sun Mar 28 10:20:23 2021 removing 5426010 relations and 3426010 ideals in 2000000 cliques
  76. Sun Mar 28 10:20:26 2021 commencing in-memory singleton removal
  77. Sun Mar 28 10:20:32 2021 begin with 50776701 relations and 43370222 unique ideals
  78. Sun Mar 28 10:21:00 2021 reduce to 50416891 relations and 39572883 ideals in 7 passes
  79. Sun Mar 28 10:21:00 2021 max relations containing the same ideal: 145
  80. Sun Mar 28 10:21:18 2021 removing 5394719 relations and 3394719 ideals in 2000000 cliques
  81. Sun Mar 28 10:21:20 2021 commencing in-memory singleton removal
  82. Sun Mar 28 10:21:23 2021 begin with 45022172 relations and 39572883 unique ideals
  83. Sun Mar 28 10:21:44 2021 reduce to 44629937 relations and 35772205 ideals in 6 passes
  84. Sun Mar 28 10:21:44 2021 max relations containing the same ideal: 134
  85. Sun Mar 28 10:22:02 2021 removing 5398358 relations and 3398358 ideals in 2000000 cliques
  86. Sun Mar 28 10:22:04 2021 commencing in-memory singleton removal
  87. Sun Mar 28 10:22:08 2021 begin with 39231579 relations and 35772205 unique ideals
  88. Sun Mar 28 10:22:36 2021 reduce to 38791831 relations and 31917043 ideals in 7 passes
  89. Sun Mar 28 10:22:36 2021 max relations containing the same ideal: 123
  90. Sun Mar 28 10:22:57 2021 removing 5422639 relations and 3422639 ideals in 2000000 cliques
  91. Sun Mar 28 10:22:59 2021 commencing in-memory singleton removal
  92. Sun Mar 28 10:23:02 2021 begin with 33369192 relations and 31917043 unique ideals
  93. Sun Mar 28 10:23:26 2021 reduce to 32859253 relations and 27961677 ideals in 7 passes
  94. Sun Mar 28 10:23:26 2021 max relations containing the same ideal: 113
  95. Sun Mar 28 10:23:44 2021 removing 5473292 relations and 3473292 ideals in 2000000 cliques
  96. Sun Mar 28 10:23:46 2021 commencing in-memory singleton removal
  97. Sun Mar 28 10:23:49 2021 begin with 27385961 relations and 27961677 unique ideals
  98. Sun Mar 28 10:24:10 2021 reduce to 26777211 relations and 23847718 ideals in 8 passes
  99. Sun Mar 28 10:24:10 2021 max relations containing the same ideal: 99
  100. Sun Mar 28 10:24:25 2021 removing 5539132 relations and 3539132 ideals in 2000000 cliques
  101. Sun Mar 28 10:24:27 2021 commencing in-memory singleton removal
  102. Sun Mar 28 10:24:29 2021 begin with 21238079 relations and 23847718 unique ideals
  103. Sun Mar 28 10:24:44 2021 reduce to 20464465 relations and 19484544 ideals in 8 passes
  104. Sun Mar 28 10:24:44 2021 max relations containing the same ideal: 86
  105. Sun Mar 28 10:24:56 2021 removing 1740812 relations and 1271924 ideals in 468888 cliques
  106. Sun Mar 28 10:24:57 2021 commencing in-memory singleton removal
  107. Sun Mar 28 10:24:59 2021 begin with 18723653 relations and 19484544 unique ideals
  108. Sun Mar 28 10:25:09 2021 reduce to 18583600 relations and 18069238 ideals in 6 passes
  109. Sun Mar 28 10:25:09 2021 max relations containing the same ideal: 78
  110. Sun Mar 28 10:25:22 2021 relations with 0 large ideals: 33796
  111. Sun Mar 28 10:25:22 2021 relations with 1 large ideals: 6575
  112. Sun Mar 28 10:25:22 2021 relations with 2 large ideals: 78737
  113. Sun Mar 28 10:25:22 2021 relations with 3 large ideals: 514198
  114. Sun Mar 28 10:25:22 2021 relations with 4 large ideals: 1809717
  115. Sun Mar 28 10:25:22 2021 relations with 5 large ideals: 3783362
  116. Sun Mar 28 10:25:22 2021 relations with 6 large ideals: 4914615
  117. Sun Mar 28 10:25:22 2021 relations with 7+ large ideals: 7442600
  118. Sun Mar 28 10:25:22 2021 commencing 2-way merge
  119. Sun Mar 28 10:25:35 2021 reduce to 12689743 relation sets and 12175381 unique ideals
  120. Sun Mar 28 10:25:35 2021 commencing full merge
  121. Sun Mar 28 10:31:49 2021 memory use: 1698.2 MB
  122. Sun Mar 28 10:31:51 2021 found 5727220 cycles, need 5715581
  123. Sun Mar 28 10:31:53 2021 weight of 5715581 cycles is about 663661832 (116.11/cycle)
  124. Sun Mar 28 10:31:53 2021 distribution of cycle lengths:
  125. Sun Mar 28 10:31:53 2021 1 relations: 228546
  126. Sun Mar 28 10:31:53 2021 2 relations: 323844
  127. Sun Mar 28 10:31:53 2021 3 relations: 389660
  128. Sun Mar 28 10:31:53 2021 4 relations: 408714
  129. Sun Mar 28 10:31:53 2021 5 relations: 421847
  130. Sun Mar 28 10:31:53 2021 6 relations: 422225
  131. Sun Mar 28 10:31:53 2021 7 relations: 413786
  132. Sun Mar 28 10:31:53 2021 8 relations: 395812
  133. Sun Mar 28 10:31:53 2021 9 relations: 371080
  134. Sun Mar 28 10:31:53 2021 10+ relations: 2340067
  135. Sun Mar 28 10:31:53 2021 heaviest cycle: 28 relations
  136. Sun Mar 28 10:31:55 2021 commencing cycle optimization
  137. Sun Mar 28 10:32:09 2021 start with 51905927 relations
  138. Sun Mar 28 10:34:25 2021 pruned 2677675 relations
  139. Sun Mar 28 10:34:26 2021 memory use: 1306.7 MB
  140. Sun Mar 28 10:34:26 2021 distribution of cycle lengths:
  141. Sun Mar 28 10:34:26 2021 1 relations: 228546
  142. Sun Mar 28 10:34:26 2021 2 relations: 331331
  143. Sun Mar 28 10:34:26 2021 3 relations: 405934
  144. Sun Mar 28 10:34:26 2021 4 relations: 426732
  145. Sun Mar 28 10:34:26 2021 5 relations: 445302
  146. Sun Mar 28 10:34:26 2021 6 relations: 445269
  147. Sun Mar 28 10:34:26 2021 7 relations: 439041
  148. Sun Mar 28 10:34:26 2021 8 relations: 418049
  149. Sun Mar 28 10:34:26 2021 9 relations: 391105
  150. Sun Mar 28 10:34:26 2021 10+ relations: 2184272
  151. Sun Mar 28 10:34:26 2021 heaviest cycle: 28 relations
  152. Sun Mar 28 10:34:35 2021 RelProcTime: 4389
  153. Sun Mar 28 10:34:35 2021
  154. Sun Mar 28 10:34:35 2021 commencing linear algebra
  155. Sun Mar 28 10:34:36 2021 read 5715581 cycles
  156. Sun Mar 28 10:34:47 2021 cycles contain 18313004 unique relations
  157. Sun Mar 28 10:37:25 2021 read 18313004 relations
  158. Sun Mar 28 10:38:10 2021 using 20 quadratic characters above 4294917295
  159. Sun Mar 28 10:39:40 2021 building initial matrix
  160. Sun Mar 28 10:43:43 2021 memory use: 2299.6 MB
  161. Sun Mar 28 10:43:46 2021 read 5715581 cycles
  162. Sun Mar 28 10:43:48 2021 matrix is 5715404 x 5715581 (2590.4 MB) with weight 737147326 (128.97/col)
  163. Sun Mar 28 10:43:48 2021 sparse part has weight 616178115 (107.81/col)
  164. Sun Mar 28 10:45:16 2021 filtering completed in 2 passes
  165. Sun Mar 28 10:45:17 2021 matrix is 5715317 x 5715494 (2590.4 MB) with weight 737144842 (128.97/col)
  166. Sun Mar 28 10:45:17 2021 sparse part has weight 616177505 (107.81/col)
  167. Sun Mar 28 10:45:34 2021 matrix starts at (0, 0)
  168. Sun Mar 28 10:45:34 2021 matrix is 5715317 x 5715494 (2590.4 MB) with weight 737144842 (128.97/col)
  169. Sun Mar 28 10:45:34 2021 sparse part has weight 616177505 (107.81/col)
  170. Sun Mar 28 10:45:34 2021 saving the first 48 matrix rows for later
  171. Sun Mar 28 10:45:36 2021 matrix includes 64 packed rows
  172. Sun Mar 28 10:45:37 2021 matrix is 5715269 x 5715494 (2477.3 MB) with weight 634304705 (110.98/col)
  173. Sun Mar 28 10:45:37 2021 sparse part has weight 592242596 (103.62/col)
  174. Sun Mar 28 10:45:37 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  175. Sun Mar 28 10:46:04 2021 commencing Lanczos iteration (3 threads)
  176. Sun Mar 28 10:46:04 2021 memory use: 2361.0 MB
  177. Sun Mar 28 10:47:05 2021 linear algebra at 0.0%, ETA 61h24m
  178. Sun Mar 28 10:47:24 2021 checkpointing every 100000 dimensions
  179. Sun Mar 28 17:35:20 2021
  180. Sun Mar 28 17:35:20 2021
  181. Sun Mar 28 17:35:20 2021 Msieve v. 1.54 (SVN 1025)
  182. Sun Mar 28 17:35:20 2021 random seeds: 2e6ae880 e162dc48
  183. Sun Mar 28 17:35:20 2021 factoring 163733749621585775236642428810867792814035295238697223145388666217339364433253163532817393791036694598457987571487633031533268985009479829610606467294645842126661139024525080951 (177 digits)
  184. Sun Mar 28 17:35:21 2021 searching for 15-digit factors
  185. Sun Mar 28 17:35:21 2021 commencing number field sieve (177-digit input)
  186. Sun Mar 28 17:35:21 2021 R0: 237916085520023302947010376750220097331
  187. Sun Mar 28 17:35:21 2021 R1: -1
  188. Sun Mar 28 17:35:21 2021 A0: 1
  189. Sun Mar 28 17:35:21 2021 A1: 1
  190. Sun Mar 28 17:35:21 2021 A2: 1
  191. Sun Mar 28 17:35:21 2021 A3: 1
  192. Sun Mar 28 17:35:21 2021 A4: 1
  193. Sun Mar 28 17:35:21 2021 A5: 1
  194. Sun Mar 28 17:35:21 2021 A6: 1
  195. Sun Mar 28 17:35:21 2021 skew 1.00, size 2.110e-11, alpha 2.428, combined = 1.098e-12 rroots = 0
  196. Sun Mar 28 17:35:21 2021
  197. Sun Mar 28 17:35:21 2021 commencing linear algebra
  198. Sun Mar 28 17:35:21 2021 skipping matrix build
  199. Sun Mar 28 17:35:27 2021 matrix starts at (0, 0)
  200. Sun Mar 28 17:35:28 2021 matrix is 5715317 x 5715494 (2590.4 MB) with weight 737144842 (128.97/col)
  201. Sun Mar 28 17:35:28 2021 sparse part has weight 616177505 (107.81/col)
  202. Sun Mar 28 17:35:28 2021 saving the first 48 matrix rows for later
  203. Sun Mar 28 17:35:29 2021 matrix includes 64 packed rows
  204. Sun Mar 28 17:35:30 2021 matrix is 5715269 x 5715494 (2477.3 MB) with weight 634304705 (110.98/col)
  205. Sun Mar 28 17:35:30 2021 sparse part has weight 592242596 (103.62/col)
  206. Sun Mar 28 17:35:30 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  207. Sun Mar 28 17:35:46 2021 commencing Lanczos iteration (3 threads)
  208. Sun Mar 28 17:35:46 2021 memory use: 2361.0 MB
  209. Sun Mar 28 17:35:47 2021 restarting at iteration 12650 (dim = 800020)
  210. Sun Mar 28 17:36:07 2021 linear algebra at 14.0%, ETA 17h57m
  211. Sun Mar 28 17:36:13 2021 checkpointing every 290000 dimensions
  212. Mon Mar 29 11:27:58 2021 lanczos halted after 90377 iterations (dim = 5715269)
  213. Mon Mar 29 11:28:06 2021 recovered 41 nontrivial dependencies
  214. Mon Mar 29 11:28:06 2021 BLanczosTime: 64365
  215. Mon Mar 29 11:28:06 2021
  216. Mon Mar 29 11:28:06 2021 commencing square root phase
  217. Mon Mar 29 11:28:06 2021 handling dependencies 1 to 64
  218. Mon Mar 29 11:28:06 2021 reading relations for dependency 1
  219. Mon Mar 29 11:28:07 2021 read 2859647 cycles
  220. Mon Mar 29 11:28:11 2021 cycles contain 9160986 unique relations
  221. Mon Mar 29 11:29:02 2021 read 9160986 relations
  222. Mon Mar 29 11:29:29 2021 multiplying 9160986 relations
  223. Mon Mar 29 11:33:51 2021 multiply complete, coefficients have about 223.83 million bits
  224. Mon Mar 29 11:33:52 2021 initial square root is modulo 107815111
  225. Mon Mar 29 11:38:51 2021 GCD is 1, no factor found
  226. Mon Mar 29 11:38:51 2021 reading relations for dependency 2
  227. Mon Mar 29 11:38:52 2021 read 2857225 cycles
  228. Mon Mar 29 11:38:56 2021 cycles contain 9155166 unique relations
  229. Mon Mar 29 11:39:47 2021 read 9155166 relations
  230. Mon Mar 29 11:40:13 2021 multiplying 9155166 relations
  231. Mon Mar 29 11:44:35 2021 multiply complete, coefficients have about 223.68 million bits
  232. Mon Mar 29 11:44:37 2021 initial square root is modulo 106480841
  233. Mon Mar 29 11:49:31 2021 GCD is 1, no factor found
  234. Mon Mar 29 11:49:31 2021 reading relations for dependency 3
  235. Mon Mar 29 11:49:32 2021 read 2857046 cycles
  236. Mon Mar 29 11:49:36 2021 cycles contain 9158664 unique relations
  237. Mon Mar 29 11:50:26 2021 read 9158664 relations
  238. Mon Mar 29 11:50:53 2021 multiplying 9158664 relations
  239. Mon Mar 29 11:55:15 2021 multiply complete, coefficients have about 223.77 million bits
  240. Mon Mar 29 11:55:17 2021 initial square root is modulo 107296649
  241. Mon Mar 29 12:00:15 2021 sqrtTime: 1929
  242. Mon Mar 29 12:00:15 2021 p70 factor: 1134844460580539199377785365449045388720657806623157817690553935819683
  243. Mon Mar 29 12:00:15 2021 p108 factor: 144278582051523080726929843715180911923991613699194992437902007073692529094783781316529149241775843991379997
  244. Mon Mar 29 12:00:15 2021 elapsed time 18:24:55
  245.  
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