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Msieve log of C161_2007666_1721

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Oct 30th, 2022
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  1. Sat Oct 29 07:59:03 2022
  2. Sat Oct 29 07:59:03 2022
  3. Sat Oct 29 07:59:03 2022 Msieve v. 1.53 (SVN 988)
  4. Sat Oct 29 07:59:03 2022 random seeds: 7a31fa28 e4deaeb7
  5. Sat Oct 29 07:59:03 2022 factoring 16049258948070699725454376225865934510643128933654683326915490719178799018954771313154750009423289170241843139704200878869009584894136071697425858481177441990757 (161 digits)
  6. Sat Oct 29 07:59:04 2022 searching for 15-digit factors
  7. Sat Oct 29 07:59:04 2022 commencing number field sieve (161-digit input)
  8. Sat Oct 29 07:59:04 2022 R0: -16731507603275087465932876409946
  9. Sat Oct 29 07:59:04 2022 R1: 199660862570728711
  10. Sat Oct 29 07:59:04 2022 A0: -286225849378222527536023552132552084452305
  11. Sat Oct 29 07:59:04 2022 A1: 13495654198778455554808918718109264
  12. Sat Oct 29 07:59:04 2022 A2: 4109950340340768958117937761
  13. Sat Oct 29 07:59:04 2022 A3: 755207786645810292
  14. Sat Oct 29 07:59:04 2022 A4: -4272662299940
  15. Sat Oct 29 07:59:04 2022 A5: 12240
  16. Sat Oct 29 07:59:04 2022 skew 32938618.44, size 9.583e-016, alpha -7.863, combined = 1.074e-012 rroots = 5
  17. Sat Oct 29 07:59:04 2022
  18. Sat Oct 29 07:59:04 2022 commencing relation filtering
  19. Sat Oct 29 07:59:04 2022 setting target matrix density to 130.0
  20. Sat Oct 29 07:59:04 2022 estimated available RAM is 16151.1 MB
  21. Sat Oct 29 07:59:04 2022 commencing duplicate removal, pass 1
  22. Sat Oct 29 08:05:23 2022 error -15 reading relation 55032705
  23. Sat Oct 29 08:06:31 2022 error -15 reading relation 65016593
  24. Sat Oct 29 08:06:42 2022 error -15 reading relation 66670268
  25. Sat Oct 29 08:06:43 2022 error -15 reading relation 66788205
  26. Sat Oct 29 08:06:43 2022 error -9 reading relation 66803078
  27. Sat Oct 29 08:06:44 2022 error -9 reading relation 66942366
  28. Sat Oct 29 08:06:53 2022 error -9 reading relation 68234901
  29. Sat Oct 29 08:07:11 2022 error -9 reading relation 70925676
  30. Sat Oct 29 08:07:13 2022 error -15 reading relation 71175443
  31. Sat Oct 29 08:07:13 2022 error -15 reading relation 71202333
  32. Sat Oct 29 08:07:14 2022 error -1 reading relation 71234687
  33. Sat Oct 29 08:07:14 2022 error -9 reading relation 71322133
  34. Sat Oct 29 08:07:15 2022 error -15 reading relation 71380535
  35. Sat Oct 29 08:07:15 2022 error -15 reading relation 71410465
  36. Sat Oct 29 08:07:15 2022 error -9 reading relation 71469822
  37. Sat Oct 29 08:07:16 2022 error -9 reading relation 71555642
  38. Sat Oct 29 08:07:16 2022 error -15 reading relation 71586301
  39. Sat Oct 29 08:07:17 2022 error -1 reading relation 71642783
  40. Sat Oct 29 08:07:17 2022 error -15 reading relation 71673854
  41. Sat Oct 29 08:07:17 2022 error -1 reading relation 71704840
  42. Sat Oct 29 08:07:17 2022 error -15 reading relation 71762926
  43. Sat Oct 29 08:07:19 2022 error -9 reading relation 71940802
  44. Sat Oct 29 08:07:19 2022 error -15 reading relation 71967987
  45. Sat Oct 29 08:07:19 2022 error -15 reading relation 71999055
  46. Sat Oct 29 08:07:19 2022 error -15 reading relation 72053685
  47. Sat Oct 29 08:07:20 2022 error -9 reading relation 72089706
  48. Sat Oct 29 08:07:20 2022 error -1 reading relation 72108433
  49. Sat Oct 29 08:07:20 2022 error -9 reading relation 72136806
  50. Sat Oct 29 08:07:21 2022 error -9 reading relation 72223607
  51. Sat Oct 29 08:07:21 2022 error -15 reading relation 72252896
  52. Sat Oct 29 08:07:21 2022 error -9 reading relation 72280091
  53. Sat Oct 29 08:07:21 2022 error -15 reading relation 72310870
  54. Sat Oct 29 08:07:28 2022 error -1 reading relation 73345963
  55. Sat Oct 29 08:07:47 2022 error -15 reading relation 76073430
  56. Sat Oct 29 08:07:56 2022 error -9 reading relation 77427502
  57. Sat Oct 29 08:08:22 2022 error -9 reading relation 81221795
  58. Sat Oct 29 08:08:23 2022 error -9 reading relation 81262066
  59. Sat Oct 29 08:09:14 2022 error -9 reading relation 88601484
  60. Sat Oct 29 08:09:43 2022 error -1 reading relation 92696040
  61. Sat Oct 29 08:09:43 2022 error -1 reading relation 92739608
  62. Sat Oct 29 08:09:43 2022 error -1 reading relation 92739609
  63. Sat Oct 29 08:09:46 2022 error -1 reading relation 93137115
  64. Sat Oct 29 08:09:47 2022 error -5 reading relation 93319622
  65. Sat Oct 29 08:09:55 2022 error -9 reading relation 94453064
  66. Sat Oct 29 08:10:01 2022 error -9 reading relation 95331492
  67. Sat Oct 29 08:10:05 2022 error -1 reading relation 95965070
  68. Sat Oct 29 08:10:13 2022 error -1 reading relation 97068686
  69. Sat Oct 29 08:10:13 2022 error -5 reading relation 97068687
  70. Sat Oct 29 08:10:14 2022 error -15 reading relation 97239039
  71. Sat Oct 29 08:10:16 2022 error -9 reading relation 97549050
  72. Sat Oct 29 08:10:16 2022 error -15 reading relation 97575257
  73. Sat Oct 29 08:10:19 2022 error -5 reading relation 97857548
  74. Sat Oct 29 08:10:20 2022 error -1 reading relation 98107272
  75. Sat Oct 29 08:10:23 2022 error -5 reading relation 98545679
  76. Sat Oct 29 08:10:24 2022 error -1 reading relation 98653845
  77. Sat Oct 29 08:11:12 2022 error -9 reading relation 105587100
  78. Sat Oct 29 08:13:17 2022 error -9 reading relation 123811533
  79. Sat Oct 29 08:13:36 2022 error -15 reading relation 126679282
  80. Sat Oct 29 08:13:42 2022 error -1 reading relation 127530664
  81. Sat Oct 29 08:13:52 2022 error -15 reading relation 129100764
  82. Sat Oct 29 08:13:54 2022 error -9 reading relation 129400473
  83. Sat Oct 29 08:13:55 2022 error -15 reading relation 129414556
  84. Sat Oct 29 08:13:55 2022 error -1 reading relation 129418877
  85. Sat Oct 29 08:14:13 2022 skipped 24 relations with composite factors
  86. Sat Oct 29 08:14:13 2022 found 28697036 hash collisions in 132197225 relations
  87. Sat Oct 29 08:14:34 2022 added 121888 free relations
  88. Sat Oct 29 08:14:34 2022 commencing duplicate removal, pass 2
  89. Sat Oct 29 08:15:59 2022 found 30749380 duplicates and 101569733 unique relations
  90. Sat Oct 29 08:15:59 2022 memory use: 852.8 MB
  91. Sat Oct 29 08:15:59 2022 reading ideals above 85000192
  92. Sat Oct 29 08:15:59 2022 commencing singleton removal, initial pass
  93. Sat Oct 29 08:25:21 2022 memory use: 1506.0 MB
  94. Sat Oct 29 08:25:22 2022 reading all ideals from disk
  95. Sat Oct 29 08:25:25 2022 memory use: 1681.0 MB
  96. Sat Oct 29 08:25:31 2022 commencing in-memory singleton removal
  97. Sat Oct 29 08:25:36 2022 begin with 101569733 relations and 81260169 unique ideals
  98. Sat Oct 29 08:26:19 2022 reduce to 67680154 relations and 44074411 ideals in 12 passes
  99. Sat Oct 29 08:26:19 2022 max relations containing the same ideal: 35
  100. Sat Oct 29 08:26:25 2022 reading ideals above 720000
  101. Sat Oct 29 08:26:25 2022 commencing singleton removal, initial pass
  102. Sat Oct 29 08:34:58 2022 memory use: 1378.0 MB
  103. Sat Oct 29 08:34:58 2022 reading all ideals from disk
  104. Sat Oct 29 08:35:03 2022 memory use: 2513.7 MB
  105. Sat Oct 29 08:35:13 2022 keeping 53597766 ideals with weight <= 200, target excess is 360973
  106. Sat Oct 29 08:35:22 2022 commencing in-memory singleton removal
  107. Sat Oct 29 08:35:31 2022 begin with 67680154 relations and 53597766 unique ideals
  108. Sat Oct 29 08:36:51 2022 reduce to 67659148 relations and 53576756 ideals in 10 passes
  109. Sat Oct 29 08:36:51 2022 max relations containing the same ideal: 200
  110. Sat Oct 29 08:37:33 2022 removing 8630803 relations and 6630803 ideals in 2000000 cliques
  111. Sat Oct 29 08:37:35 2022 commencing in-memory singleton removal
  112. Sat Oct 29 08:37:44 2022 begin with 59028345 relations and 53576756 unique ideals
  113. Sat Oct 29 08:38:42 2022 reduce to 58188183 relations and 46076020 ideals in 9 passes
  114. Sat Oct 29 08:38:42 2022 max relations containing the same ideal: 190
  115. Sat Oct 29 08:39:20 2022 removing 6811046 relations and 4811046 ideals in 2000000 cliques
  116. Sat Oct 29 08:39:22 2022 commencing in-memory singleton removal
  117. Sat Oct 29 08:39:29 2022 begin with 51377137 relations and 46076020 unique ideals
  118. Sat Oct 29 08:40:16 2022 reduce to 50779394 relations and 40647484 ideals in 8 passes
  119. Sat Oct 29 08:40:16 2022 max relations containing the same ideal: 177
  120. Sat Oct 29 08:40:48 2022 removing 6328298 relations and 4328298 ideals in 2000000 cliques
  121. Sat Oct 29 08:40:50 2022 commencing in-memory singleton removal
  122. Sat Oct 29 08:40:56 2022 begin with 44451096 relations and 40647484 unique ideals
  123. Sat Oct 29 08:41:32 2022 reduce to 43894123 relations and 35742509 ideals in 7 passes
  124. Sat Oct 29 08:41:32 2022 max relations containing the same ideal: 160
  125. Sat Oct 29 08:42:01 2022 removing 6099398 relations and 4099398 ideals in 2000000 cliques
  126. Sat Oct 29 08:42:03 2022 commencing in-memory singleton removal
  127. Sat Oct 29 08:42:08 2022 begin with 37794725 relations and 35742509 unique ideals
  128. Sat Oct 29 08:42:41 2022 reduce to 37229510 relations and 31055481 ideals in 8 passes
  129. Sat Oct 29 08:42:41 2022 max relations containing the same ideal: 146
  130. Sat Oct 29 08:43:06 2022 removing 5965517 relations and 3965517 ideals in 2000000 cliques
  131. Sat Oct 29 08:43:08 2022 commencing in-memory singleton removal
  132. Sat Oct 29 08:43:13 2022 begin with 31263993 relations and 31055481 unique ideals
  133. Sat Oct 29 08:43:36 2022 reduce to 30654742 relations and 26452740 ideals in 7 passes
  134. Sat Oct 29 08:43:36 2022 max relations containing the same ideal: 129
  135. Sat Oct 29 08:43:57 2022 removing 5888219 relations and 3888219 ideals in 2000000 cliques
  136. Sat Oct 29 08:43:59 2022 commencing in-memory singleton removal
  137. Sat Oct 29 08:44:02 2022 begin with 24766523 relations and 26452740 unique ideals
  138. Sat Oct 29 08:44:24 2022 reduce to 24065317 relations and 21824306 ideals in 8 passes
  139. Sat Oct 29 08:44:24 2022 max relations containing the same ideal: 112
  140. Sat Oct 29 08:44:40 2022 removing 5413375 relations and 3591093 ideals in 1822282 cliques
  141. Sat Oct 29 08:44:42 2022 commencing in-memory singleton removal
  142. Sat Oct 29 08:44:44 2022 begin with 18651942 relations and 21824306 unique ideals
  143. Sat Oct 29 08:45:01 2022 reduce to 17879315 relations and 17410362 ideals in 9 passes
  144. Sat Oct 29 08:45:01 2022 max relations containing the same ideal: 89
  145. Sat Oct 29 08:45:12 2022 removing 304497 relations and 254273 ideals in 50224 cliques
  146. Sat Oct 29 08:45:13 2022 commencing in-memory singleton removal
  147. Sat Oct 29 08:45:14 2022 begin with 17574818 relations and 17410362 unique ideals
  148. Sat Oct 29 08:45:24 2022 reduce to 17571114 relations and 17152379 ideals in 6 passes
  149. Sat Oct 29 08:45:24 2022 max relations containing the same ideal: 87
  150. Sat Oct 29 08:45:27 2022 relations with 0 large ideals: 1135
  151. Sat Oct 29 08:45:27 2022 relations with 1 large ideals: 4564
  152. Sat Oct 29 08:45:27 2022 relations with 2 large ideals: 69506
  153. Sat Oct 29 08:45:27 2022 relations with 3 large ideals: 476640
  154. Sat Oct 29 08:45:27 2022 relations with 4 large ideals: 1712989
  155. Sat Oct 29 08:45:27 2022 relations with 5 large ideals: 3646191
  156. Sat Oct 29 08:45:27 2022 relations with 6 large ideals: 4828110
  157. Sat Oct 29 08:45:27 2022 relations with 7+ large ideals: 6831979
  158. Sat Oct 29 08:45:27 2022 commencing 2-way merge
  159. Sat Oct 29 08:45:42 2022 reduce to 11540253 relation sets and 11121518 unique ideals
  160. Sat Oct 29 08:45:42 2022 commencing full merge
  161. Sat Oct 29 08:51:16 2022 memory use: 1401.7 MB
  162. Sat Oct 29 08:51:19 2022 found 5041149 cycles, need 5039718
  163. Sat Oct 29 08:51:19 2022 weight of 5039718 cycles is about 655619050 (130.09/cycle)
  164. Sat Oct 29 08:51:19 2022 distribution of cycle lengths:
  165. Sat Oct 29 08:51:19 2022 1 relations: 144106
  166. Sat Oct 29 08:51:19 2022 2 relations: 253560
  167. Sat Oct 29 08:51:19 2022 3 relations: 317951
  168. Sat Oct 29 08:51:19 2022 4 relations: 344748
  169. Sat Oct 29 08:51:19 2022 5 relations: 370532
  170. Sat Oct 29 08:51:19 2022 6 relations: 373541
  171. Sat Oct 29 08:51:19 2022 7 relations: 370258
  172. Sat Oct 29 08:51:19 2022 8 relations: 358447
  173. Sat Oct 29 08:51:19 2022 9 relations: 336203
  174. Sat Oct 29 08:51:19 2022 10+ relations: 2170372
  175. Sat Oct 29 08:51:20 2022 heaviest cycle: 28 relations
  176. Sat Oct 29 08:51:23 2022 commencing cycle optimization
  177. Sat Oct 29 08:51:34 2022 start with 47552340 relations
  178. Sat Oct 29 08:54:09 2022 pruned 2475038 relations
  179. Sat Oct 29 08:54:09 2022 memory use: 1217.3 MB
  180. Sat Oct 29 08:54:09 2022 distribution of cycle lengths:
  181. Sat Oct 29 08:54:09 2022 1 relations: 144106
  182. Sat Oct 29 08:54:09 2022 2 relations: 261318
  183. Sat Oct 29 08:54:09 2022 3 relations: 333460
  184. Sat Oct 29 08:54:09 2022 4 relations: 361855
  185. Sat Oct 29 08:54:09 2022 5 relations: 392703
  186. Sat Oct 29 08:54:09 2022 6 relations: 395373
  187. Sat Oct 29 08:54:09 2022 7 relations: 394063
  188. Sat Oct 29 08:54:09 2022 8 relations: 378539
  189. Sat Oct 29 08:54:09 2022 9 relations: 354478
  190. Sat Oct 29 08:54:09 2022 10+ relations: 2023823
  191. Sat Oct 29 08:54:09 2022 heaviest cycle: 28 relations
  192. Sat Oct 29 08:54:20 2022 RelProcTime: 3316
  193. Sat Oct 29 08:54:20 2022
  194. Sat Oct 29 08:54:20 2022 commencing linear algebra
  195. Sat Oct 29 08:54:20 2022 read 5039718 cycles
  196. Sat Oct 29 08:54:34 2022 cycles contain 17347213 unique relations
  197. Sat Oct 29 08:56:13 2022 read 17347213 relations
  198. Sat Oct 29 08:57:00 2022 using 20 quadratic characters above 4294917295
  199. Sat Oct 29 08:58:04 2022 building initial matrix
  200. Sat Oct 29 09:02:28 2022 memory use: 2365.7 MB
  201. Sat Oct 29 09:02:35 2022 read 5039718 cycles
  202. Sat Oct 29 09:02:36 2022 matrix is 5039541 x 5039718 (2527.9 MB) with weight 771479430 (153.08/col)
  203. Sat Oct 29 09:02:36 2022 sparse part has weight 602205835 (119.49/col)
  204. Sat Oct 29 09:03:53 2022 filtering completed in 2 passes
  205. Sat Oct 29 09:03:54 2022 matrix is 5039518 x 5039695 (2527.9 MB) with weight 771478334 (153.08/col)
  206. Sat Oct 29 09:03:54 2022 sparse part has weight 602205601 (119.49/col)
  207. Sat Oct 29 09:04:13 2022 matrix starts at (0, 0)
  208. Sat Oct 29 09:04:14 2022 matrix is 5039518 x 5039695 (2527.9 MB) with weight 771478334 (153.08/col)
  209. Sat Oct 29 09:04:14 2022 sparse part has weight 602205601 (119.49/col)
  210. Sat Oct 29 09:04:14 2022 saving the first 48 matrix rows for later
  211. Sat Oct 29 09:04:16 2022 matrix includes 64 packed rows
  212. Sat Oct 29 09:04:17 2022 matrix is 5039470 x 5039695 (2466.0 MB) with weight 663899454 (131.73/col)
  213. Sat Oct 29 09:04:17 2022 sparse part has weight 596053888 (118.27/col)
  214. Sat Oct 29 09:04:17 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  215. Sat Oct 29 09:04:43 2022 commencing Lanczos iteration (6 threads)
  216. Sat Oct 29 09:04:43 2022 memory use: 2042.1 MB
  217. Sat Oct 29 09:05:13 2022 linear algebra at 0.0%, ETA 26h38m
  218. Sat Oct 29 09:05:23 2022 checkpointing every 190000 dimensions
  219. Sun Oct 30 10:30:31 2022 lanczos halted after 79691 iterations (dim = 5039469)
  220. Sun Oct 30 10:30:36 2022 recovered 27 nontrivial dependencies
  221. Sun Oct 30 10:30:38 2022 BLanczosTime: 92178
  222. Sun Oct 30 10:30:38 2022
  223. Sun Oct 30 10:30:38 2022 commencing square root phase
  224. Sun Oct 30 10:30:38 2022 handling dependencies 1 to 64
  225. Sun Oct 30 10:30:38 2022 reading relations for dependency 1
  226. Sun Oct 30 10:30:39 2022 read 2520374 cycles
  227. Sun Oct 30 10:30:45 2022 cycles contain 8672704 unique relations
  228. Sun Oct 30 10:31:42 2022 read 8672704 relations
  229. Sun Oct 30 10:32:29 2022 multiplying 8672704 relations
  230. Sun Oct 30 10:39:41 2022 multiply complete, coefficients have about 458.45 million bits
  231. Sun Oct 30 10:39:45 2022 initial square root is modulo 168280961
  232. Sun Oct 30 10:48:37 2022 GCD is N, no factor found
  233. Sun Oct 30 10:48:37 2022 reading relations for dependency 2
  234. Sun Oct 30 10:48:38 2022 read 2517794 cycles
  235. Sun Oct 30 10:48:45 2022 cycles contain 8670720 unique relations
  236. Sun Oct 30 10:49:37 2022 read 8670720 relations
  237. Sun Oct 30 10:50:23 2022 multiplying 8670720 relations
  238. Sun Oct 30 10:57:27 2022 multiply complete, coefficients have about 458.34 million bits
  239. Sun Oct 30 10:57:30 2022 initial square root is modulo 167546551
  240. Sun Oct 30 11:06:21 2022 GCD is 1, no factor found
  241. Sun Oct 30 11:06:21 2022 reading relations for dependency 3
  242. Sun Oct 30 11:06:22 2022 read 2520480 cycles
  243. Sun Oct 30 11:06:28 2022 cycles contain 8672774 unique relations
  244. Sun Oct 30 11:07:20 2022 read 8672774 relations
  245. Sun Oct 30 11:08:06 2022 multiplying 8672774 relations
  246. Sun Oct 30 11:15:12 2022 multiply complete, coefficients have about 458.46 million bits
  247. Sun Oct 30 11:15:15 2022 initial square root is modulo 168378277
  248. Sun Oct 30 11:24:16 2022 sqrtTime: 3218
  249. Sun Oct 30 11:24:16 2022 p52 factor: 3430056260816622669835752671315688885018831007368673
  250. Sun Oct 30 11:24:16 2022 p109 factor: 4679007493670006489570547717244929094859032831329733667370525894512348736536592996641977375254313976181979909
  251. Sun Oct 30 11:24:16 2022 elapsed time 27:25:13
  252.  
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