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Msieve log of C163_230916_16689

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Aug 6th, 2023
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  1. Fri Aug 04 07:51:47 2023
  2. Fri Aug 04 07:51:47 2023
  3. Fri Aug 04 07:51:47 2023 Msieve v. 1.53 (SVN 988)
  4. Fri Aug 04 07:51:47 2023 random seeds: f518d1f0 c65a69b7
  5. Fri Aug 04 07:51:47 2023 factoring 3700568776733212803171901662037854096572432375802480649485097436118059977700677759962071175097506488753571199464173166093737450773204923293847657265559760298320319 (163 digits)
  6. Fri Aug 04 07:51:49 2023 searching for 15-digit factors
  7. Fri Aug 04 07:51:49 2023 commencing number field sieve (163-digit input)
  8. Fri Aug 04 07:51:49 2023 R0: -91154512536722189250418528659139
  9. Fri Aug 04 07:51:49 2023 R1: 117371152684837013
  10. Fri Aug 04 07:51:49 2023 A0: 2974725082911888946521340352800522836595200
  11. Fri Aug 04 07:51:49 2023 A1: 54533172005994526913475238654386144
  12. Fri Aug 04 07:51:49 2023 A2: -2722103522082221989064756568
  13. Fri Aug 04 07:51:49 2023 A3: -6455544640121838862
  14. Fri Aug 04 07:51:49 2023 A4: 304253018713
  15. Fri Aug 04 07:51:49 2023 A5: 588
  16. Fri Aug 04 07:51:49 2023 skew 101348613.93, size 6.921e-016, alpha -7.112, combined = 9.028e-013 rroots = 5
  17. Fri Aug 04 07:51:49 2023
  18. Fri Aug 04 07:51:49 2023 commencing relation filtering
  19. Fri Aug 04 07:51:49 2023 setting target matrix density to 130.0
  20. Fri Aug 04 07:51:49 2023 estimated available RAM is 12041.5 MB
  21. Fri Aug 04 07:51:49 2023 commencing duplicate removal, pass 1
  22. Fri Aug 04 07:51:54 2023 error -9 reading relation 248257
  23. Fri Aug 04 07:52:15 2023 error -1 reading relation 1365536
  24. Fri Aug 04 07:52:36 2023 error -15 reading relation 2492569
  25. Fri Aug 04 07:52:39 2023 error -15 reading relation 2642382
  26. Fri Aug 04 07:54:20 2023 error -15 reading relation 8221922
  27. Fri Aug 04 07:54:22 2023 error -15 reading relation 8346779
  28. Fri Aug 04 07:54:31 2023 error -1 reading relation 8838416
  29. Fri Aug 04 07:54:46 2023 error -9 reading relation 9674664
  30. Fri Aug 04 07:54:47 2023 error -9 reading relation 9772881
  31. Fri Aug 04 07:54:50 2023 error -9 reading relation 9926438
  32. Fri Aug 04 07:54:57 2023 error -1 reading relation 10336430
  33. Fri Aug 04 07:55:05 2023 error -1 reading relation 10810500
  34. Fri Aug 04 07:55:07 2023 error -5 reading relation 10914211
  35. Fri Aug 04 07:55:12 2023 error -9 reading relation 11172731
  36. Fri Aug 04 07:55:28 2023 error -1 reading relation 12055021
  37. Fri Aug 04 07:55:33 2023 error -9 reading relation 12349083
  38. Fri Aug 04 07:56:02 2023 error -15 reading relation 13977383
  39. Fri Aug 04 07:56:09 2023 error -15 reading relation 14379003
  40. Fri Aug 04 07:56:13 2023 error -9 reading relation 14604120
  41. Fri Aug 04 07:56:49 2023 error -9 reading relation 16645863
  42. Fri Aug 04 07:58:02 2023 error -15 reading relation 20773285
  43. Fri Aug 04 07:58:11 2023 error -15 reading relation 21260994
  44. Fri Aug 04 07:58:14 2023 error -15 reading relation 21429855
  45. Fri Aug 04 07:58:20 2023 error -11 reading relation 21803424
  46. Fri Aug 04 07:59:01 2023 error -15 reading relation 24100283
  47. Fri Aug 04 07:59:07 2023 error -9 reading relation 24427872
  48. Fri Aug 04 07:59:17 2023 error -9 reading relation 24982289
  49. Fri Aug 04 08:00:08 2023 error -15 reading relation 27733374
  50. Fri Aug 04 08:00:33 2023 error -15 reading relation 29176746
  51. Fri Aug 04 08:00:46 2023 error -15 reading relation 29916972
  52. Fri Aug 04 08:00:46 2023 error -1 reading relation 29924864
  53. Fri Aug 04 08:01:10 2023 error -5 reading relation 31301034
  54. Fri Aug 04 08:02:03 2023 error -1 reading relation 34308501
  55. Fri Aug 04 08:02:09 2023 error -15 reading relation 34643323
  56. Fri Aug 04 08:03:33 2023 error -5 reading relation 39385901
  57. Fri Aug 04 08:03:47 2023 error -9 reading relation 40189738
  58. Fri Aug 04 08:05:21 2023 error -1 reading relation 45440842
  59. Fri Aug 04 08:05:26 2023 error -15 reading relation 45762158
  60. Fri Aug 04 08:06:25 2023 error -5 reading relation 49074472
  61. Fri Aug 04 08:07:15 2023 error -15 reading relation 51781928
  62. Fri Aug 04 08:09:25 2023 error -15 reading relation 59100996
  63. Fri Aug 04 08:09:39 2023 error -1 reading relation 59921609
  64. Fri Aug 04 08:11:34 2023 error -15 reading relation 66555820
  65. Fri Aug 04 08:17:02 2023 error -15 reading relation 85364895
  66. Fri Aug 04 08:17:08 2023 error -15 reading relation 85715548
  67. Fri Aug 04 08:17:48 2023 error -9 reading relation 87975039
  68. Fri Aug 04 08:18:44 2023 error -15 reading relation 91159615
  69. Fri Aug 04 08:18:58 2023 error -9 reading relation 92017893
  70. Fri Aug 04 08:21:34 2023 error -15 reading relation 101058879
  71. Fri Aug 04 08:23:11 2023 error -1 reading relation 106605962
  72. Fri Aug 04 08:24:45 2023 error -9 reading relation 111856479
  73. Fri Aug 04 08:24:51 2023 error -15 reading relation 112230047
  74. Fri Aug 04 08:24:57 2023 error -1 reading relation 112547387
  75. Fri Aug 04 08:27:47 2023 error -9 reading relation 122227762
  76. Fri Aug 04 08:28:02 2023 error -5 reading relation 123069234
  77. Fri Aug 04 08:28:57 2023 error -9 reading relation 126186425
  78. Fri Aug 04 08:29:06 2023 error -15 reading relation 126666742
  79. Fri Aug 04 08:29:41 2023 error -1 reading relation 128658729
  80. Fri Aug 04 08:29:41 2023 error -15 reading relation 128658859
  81. Fri Aug 04 08:29:41 2023 error -9 reading relation 128661432
  82. Fri Aug 04 08:31:03 2023 error -15 reading relation 133357714
  83. Fri Aug 04 08:31:07 2023 error -9 reading relation 133572894
  84. Fri Aug 04 08:31:34 2023 error -9 reading relation 135136403
  85. Fri Aug 04 08:31:34 2023 error -15 reading relation 135164270
  86. Fri Aug 04 08:31:40 2023 error -9 reading relation 135521488
  87. Fri Aug 04 08:31:42 2023 error -5 reading relation 135611894
  88. Fri Aug 04 08:31:42 2023 error -15 reading relation 135619181
  89. Fri Aug 04 08:31:43 2023 error -15 reading relation 135673492
  90. Fri Aug 04 08:31:43 2023 error -15 reading relation 135677195
  91. Fri Aug 04 08:32:00 2023 skipped 36 relations with composite factors
  92. Fri Aug 04 08:32:00 2023 found 31936780 hash collisions in 136613068 relations
  93. Fri Aug 04 08:32:50 2023 added 122011 free relations
  94. Fri Aug 04 08:32:50 2023 commencing duplicate removal, pass 2
  95. Fri Aug 04 08:36:00 2023 found 33314353 duplicates and 103420726 unique relations
  96. Fri Aug 04 08:36:00 2023 memory use: 724.8 MB
  97. Fri Aug 04 08:36:00 2023 reading ideals above 99942400
  98. Fri Aug 04 08:36:00 2023 commencing singleton removal, initial pass
  99. Fri Aug 04 09:00:50 2023 memory use: 1506.0 MB
  100. Fri Aug 04 09:00:50 2023 reading all ideals from disk
  101. Fri Aug 04 09:00:54 2023 memory use: 1672.1 MB
  102. Fri Aug 04 09:00:58 2023 commencing in-memory singleton removal
  103. Fri Aug 04 09:01:02 2023 begin with 103420726 relations and 80481226 unique ideals
  104. Fri Aug 04 09:01:53 2023 reduce to 70445514 relations and 44426371 ideals in 12 passes
  105. Fri Aug 04 09:01:53 2023 max relations containing the same ideal: 37
  106. Fri Aug 04 09:02:02 2023 reading ideals above 720000
  107. Fri Aug 04 09:02:02 2023 commencing singleton removal, initial pass
  108. Fri Aug 04 09:22:28 2023 memory use: 1506.0 MB
  109. Fri Aug 04 09:22:28 2023 reading all ideals from disk
  110. Fri Aug 04 09:22:34 2023 memory use: 2635.3 MB
  111. Fri Aug 04 09:22:42 2023 keeping 55565112 ideals with weight <= 200, target excess is 375485
  112. Fri Aug 04 09:22:51 2023 commencing in-memory singleton removal
  113. Fri Aug 04 09:22:57 2023 begin with 70445515 relations and 55565112 unique ideals
  114. Fri Aug 04 09:24:17 2023 reduce to 70401866 relations and 55521456 ideals in 9 passes
  115. Fri Aug 04 09:24:17 2023 max relations containing the same ideal: 200
  116. Fri Aug 04 09:24:55 2023 removing 8541757 relations and 6541757 ideals in 2000000 cliques
  117. Fri Aug 04 09:25:00 2023 commencing in-memory singleton removal
  118. Fri Aug 04 09:25:06 2023 begin with 61860109 relations and 55521456 unique ideals
  119. Fri Aug 04 09:25:59 2023 reduce to 61069944 relations and 48162491 ideals in 7 passes
  120. Fri Aug 04 09:25:59 2023 max relations containing the same ideal: 190
  121. Fri Aug 04 09:26:35 2023 removing 6751893 relations and 4751893 ideals in 2000000 cliques
  122. Fri Aug 04 09:26:38 2023 commencing in-memory singleton removal
  123. Fri Aug 04 09:26:43 2023 begin with 54318051 relations and 48162491 unique ideals
  124. Fri Aug 04 09:27:29 2023 reduce to 53757751 relations and 42832564 ideals in 7 passes
  125. Fri Aug 04 09:27:29 2023 max relations containing the same ideal: 175
  126. Fri Aug 04 09:28:00 2023 removing 6273662 relations and 4273662 ideals in 2000000 cliques
  127. Fri Aug 04 09:28:04 2023 commencing in-memory singleton removal
  128. Fri Aug 04 09:28:08 2023 begin with 47484089 relations and 42832564 unique ideals
  129. Fri Aug 04 09:28:47 2023 reduce to 46971673 relations and 38029293 ideals in 7 passes
  130. Fri Aug 04 09:28:47 2023 max relations containing the same ideal: 163
  131. Fri Aug 04 09:29:15 2023 removing 6040580 relations and 4040580 ideals in 2000000 cliques
  132. Fri Aug 04 09:29:18 2023 commencing in-memory singleton removal
  133. Fri Aug 04 09:29:22 2023 begin with 40931093 relations and 38029293 unique ideals
  134. Fri Aug 04 09:29:54 2023 reduce to 40416300 relations and 33454833 ideals in 7 passes
  135. Fri Aug 04 09:29:54 2023 max relations containing the same ideal: 145
  136. Fri Aug 04 09:30:18 2023 removing 5902522 relations and 3902522 ideals in 2000000 cliques
  137. Fri Aug 04 09:30:21 2023 commencing in-memory singleton removal
  138. Fri Aug 04 09:30:24 2023 begin with 34513778 relations and 33454833 unique ideals
  139. Fri Aug 04 09:30:50 2023 reduce to 33970045 relations and 28985798 ideals in 7 passes
  140. Fri Aug 04 09:30:50 2023 max relations containing the same ideal: 130
  141. Fri Aug 04 09:31:10 2023 removing 5816468 relations and 3816468 ideals in 2000000 cliques
  142. Fri Aug 04 09:31:13 2023 commencing in-memory singleton removal
  143. Fri Aug 04 09:31:15 2023 begin with 28153577 relations and 28985798 unique ideals
  144. Fri Aug 04 09:31:39 2023 reduce to 27545611 relations and 24531177 ideals in 8 passes
  145. Fri Aug 04 09:31:39 2023 max relations containing the same ideal: 113
  146. Fri Aug 04 09:31:55 2023 removing 5763603 relations and 3763603 ideals in 2000000 cliques
  147. Fri Aug 04 09:31:58 2023 commencing in-memory singleton removal
  148. Fri Aug 04 09:31:59 2023 begin with 21782008 relations and 24531177 unique ideals
  149. Fri Aug 04 09:32:18 2023 reduce to 21048414 relations and 19989313 ideals in 8 passes
  150. Fri Aug 04 09:32:18 2023 max relations containing the same ideal: 93
  151. Fri Aug 04 09:32:30 2023 removing 2262276 relations and 1638738 ideals in 623538 cliques
  152. Fri Aug 04 09:32:32 2023 commencing in-memory singleton removal
  153. Fri Aug 04 09:32:33 2023 begin with 18786138 relations and 19989313 unique ideals
  154. Fri Aug 04 09:32:47 2023 reduce to 18611643 relations and 18171486 ideals in 7 passes
  155. Fri Aug 04 09:32:47 2023 max relations containing the same ideal: 86
  156. Fri Aug 04 09:33:02 2023 relations with 0 large ideals: 1247
  157. Fri Aug 04 09:33:02 2023 relations with 1 large ideals: 4702
  158. Fri Aug 04 09:33:02 2023 relations with 2 large ideals: 70601
  159. Fri Aug 04 09:33:02 2023 relations with 3 large ideals: 482538
  160. Fri Aug 04 09:33:02 2023 relations with 4 large ideals: 1758930
  161. Fri Aug 04 09:33:02 2023 relations with 5 large ideals: 3787750
  162. Fri Aug 04 09:33:02 2023 relations with 6 large ideals: 5097291
  163. Fri Aug 04 09:33:02 2023 relations with 7+ large ideals: 7408584
  164. Fri Aug 04 09:33:02 2023 commencing 2-way merge
  165. Fri Aug 04 09:33:18 2023 reduce to 12448793 relation sets and 12008636 unique ideals
  166. Fri Aug 04 09:33:18 2023 commencing full merge
  167. Fri Aug 04 09:39:59 2023 memory use: 1516.7 MB
  168. Fri Aug 04 09:40:03 2023 found 5443067 cycles, need 5430836
  169. Fri Aug 04 09:40:04 2023 weight of 5430836 cycles is about 706107420 (130.02/cycle)
  170. Fri Aug 04 09:40:04 2023 distribution of cycle lengths:
  171. Fri Aug 04 09:40:04 2023 1 relations: 131625
  172. Fri Aug 04 09:40:04 2023 2 relations: 259797
  173. Fri Aug 04 09:40:04 2023 3 relations: 335436
  174. Fri Aug 04 09:40:04 2023 4 relations: 364346
  175. Fri Aug 04 09:40:04 2023 5 relations: 392956
  176. Fri Aug 04 09:40:04 2023 6 relations: 399742
  177. Fri Aug 04 09:40:04 2023 7 relations: 400325
  178. Fri Aug 04 09:40:04 2023 8 relations: 390654
  179. Fri Aug 04 09:40:04 2023 9 relations: 370759
  180. Fri Aug 04 09:40:04 2023 10+ relations: 2385196
  181. Fri Aug 04 09:40:04 2023 heaviest cycle: 28 relations
  182. Fri Aug 04 09:40:08 2023 commencing cycle optimization
  183. Fri Aug 04 09:40:24 2023 start with 51452239 relations
  184. Fri Aug 04 09:44:04 2023 pruned 2758802 relations
  185. Fri Aug 04 09:44:04 2023 memory use: 1301.9 MB
  186. Fri Aug 04 09:44:04 2023 distribution of cycle lengths:
  187. Fri Aug 04 09:44:04 2023 1 relations: 131625
  188. Fri Aug 04 09:44:04 2023 2 relations: 268111
  189. Fri Aug 04 09:44:04 2023 3 relations: 351795
  190. Fri Aug 04 09:44:04 2023 4 relations: 383012
  191. Fri Aug 04 09:44:04 2023 5 relations: 416492
  192. Fri Aug 04 09:44:04 2023 6 relations: 424124
  193. Fri Aug 04 09:44:04 2023 7 relations: 427176
  194. Fri Aug 04 09:44:04 2023 8 relations: 414369
  195. Fri Aug 04 09:44:04 2023 9 relations: 392691
  196. Fri Aug 04 09:44:04 2023 10+ relations: 2221441
  197. Fri Aug 04 09:44:04 2023 heaviest cycle: 28 relations
  198. Fri Aug 04 09:44:16 2023 RelProcTime: 6747
  199. Fri Aug 04 09:44:16 2023
  200. Fri Aug 04 09:44:16 2023 commencing linear algebra
  201. Fri Aug 04 09:44:19 2023 read 5430836 cycles
  202. Fri Aug 04 09:44:39 2023 cycles contain 18366624 unique relations
  203. Fri Aug 04 09:49:56 2023 read 18366624 relations
  204. Fri Aug 04 09:50:42 2023 using 20 quadratic characters above 4294917295
  205. Fri Aug 04 09:53:11 2023 building initial matrix
  206. Fri Aug 04 10:01:32 2023 memory use: 2571.1 MB
  207. Fri Aug 04 10:01:48 2023 read 5430836 cycles
  208. Fri Aug 04 10:01:50 2023 matrix is 5430657 x 5430836 (2717.9 MB) with weight 824281654 (151.78/col)
  209. Fri Aug 04 10:01:50 2023 sparse part has weight 647314408 (119.19/col)
  210. Fri Aug 04 10:03:24 2023 filtering completed in 2 passes
  211. Fri Aug 04 10:03:26 2023 matrix is 5430622 x 5430801 (2717.9 MB) with weight 824279867 (151.78/col)
  212. Fri Aug 04 10:03:26 2023 sparse part has weight 647313834 (119.19/col)
  213. Fri Aug 04 10:03:53 2023 matrix starts at (0, 0)
  214. Fri Aug 04 10:03:55 2023 matrix is 5430622 x 5430801 (2717.9 MB) with weight 824279867 (151.78/col)
  215. Fri Aug 04 10:03:55 2023 sparse part has weight 647313834 (119.19/col)
  216. Fri Aug 04 10:03:55 2023 saving the first 48 matrix rows for later
  217. Fri Aug 04 10:03:58 2023 matrix includes 64 packed rows
  218. Fri Aug 04 10:04:00 2023 matrix is 5430574 x 5430801 (2637.4 MB) with weight 708084394 (130.38/col)
  219. Fri Aug 04 10:04:00 2023 sparse part has weight 637058978 (117.30/col)
  220. Fri Aug 04 10:04:00 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  221. Fri Aug 04 10:05:02 2023 commencing Lanczos iteration (6 threads)
  222. Fri Aug 04 10:05:02 2023 memory use: 2197.8 MB
  223. Fri Aug 04 10:05:38 2023 linear algebra at 0.0%, ETA 34h50m
  224. Fri Aug 04 10:05:50 2023 checkpointing every 160000 dimensions
  225. Sat Aug 05 19:00:42 2023 lanczos halted after 85876 iterations (dim = 5430572)
  226. Sat Aug 05 19:00:52 2023 recovered 26 nontrivial dependencies
  227. Sat Aug 05 19:00:55 2023 BLanczosTime: 119799
  228. Sat Aug 05 19:00:55 2023
  229. Sat Aug 05 19:00:55 2023 commencing square root phase
  230. Sat Aug 05 19:00:55 2023 handling dependencies 1 to 64
  231. Sat Aug 05 19:00:55 2023 reading relations for dependency 1
  232. Sat Aug 05 19:00:58 2023 read 2716437 cycles
  233. Sat Aug 05 19:01:07 2023 cycles contain 9185524 unique relations
  234. Sat Aug 05 19:04:15 2023 read 9185524 relations
  235. Sat Aug 05 19:05:23 2023 multiplying 9185524 relations
  236. Sat Aug 05 19:21:22 2023 multiply complete, coefficients have about 447.60 million bits
  237. Sat Aug 05 19:21:26 2023 initial square root is modulo 107504707
  238. Sat Aug 05 19:39:18 2023 GCD is N, no factor found
  239. Sat Aug 05 19:39:18 2023 reading relations for dependency 2
  240. Sat Aug 05 19:39:22 2023 read 2715634 cycles
  241. Sat Aug 05 19:39:31 2023 cycles contain 9186484 unique relations
  242. Sat Aug 05 19:42:42 2023 read 9186484 relations
  243. Sat Aug 05 19:43:52 2023 multiplying 9186484 relations
  244. Sat Aug 05 19:59:45 2023 multiply complete, coefficients have about 447.64 million bits
  245. Sat Aug 05 19:59:49 2023 initial square root is modulo 107686297
  246. Sat Aug 05 20:17:36 2023 sqrtTime: 4601
  247. Sat Aug 05 20:17:36 2023 p71 factor: 24525936073979104256464900184891736585373479391456504539165875116078313
  248. Sat Aug 05 20:17:36 2023 p93 factor: 150883895545146874884445637434295599556902541768741984893663304030546616708893776181433948263
  249. Sat Aug 05 20:17:36 2023 elapsed time 36:25:49
  250.  
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