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Msieve log of 120__883_13m1

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Jul 15th, 2021
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  1. Wed Jul 14 08:18:57 2021
  2. Wed Jul 14 08:18:57 2021
  3. Wed Jul 14 08:18:57 2021 Msieve v. 1.53 (SVN 988)
  4. Wed Jul 14 08:18:57 2021 random seeds: bf3f14e4 e764130c
  5. Wed Jul 14 08:18:57 2021 factoring 159176987912036821164784002783686489827391795707157788720380757024279105135162125375306931898114410280264020914913789931149176681920123780425585463987795941994967373446314052392748532836313 (189 digits)
  6. Wed Jul 14 08:18:58 2021 searching for 15-digit factors
  7. Wed Jul 14 08:18:58 2021 commencing number field sieve (189-digit input)
  8. Wed Jul 14 08:18:58 2021 R0: 144487522310315352157700244371358173690
  9. Wed Jul 14 08:18:58 2021 R1: -12020296265496759883
  10. Wed Jul 14 08:18:58 2021 A0: -1
  11. Wed Jul 14 08:18:58 2021 A1: 3
  12. Wed Jul 14 08:18:59 2021 A2: 6
  13. Wed Jul 14 08:18:59 2021 A3: -4
  14. Wed Jul 14 08:18:59 2021 A4: -5
  15. Wed Jul 14 08:18:59 2021 A5: 1
  16. Wed Jul 14 08:18:59 2021 A6: 1
  17. Wed Jul 14 08:18:59 2021 skew 1.00, size 2.818e-011, alpha 3.126, combined = 1.326e-012 rroots = 6
  18. Wed Jul 14 08:18:59 2021
  19. Wed Jul 14 08:18:59 2021 commencing relation filtering
  20. Wed Jul 14 08:18:59 2021 setting target matrix density to 100.0
  21. Wed Jul 14 08:18:59 2021 estimated available RAM is 12043.5 MB
  22. Wed Jul 14 08:18:59 2021 commencing duplicate removal, pass 1
  23. Wed Jul 14 08:19:11 2021 error -15 reading relation 1029798
  24. Wed Jul 14 08:22:34 2021 error -9 reading relation 17083208
  25. Wed Jul 14 08:22:38 2021 error -9 reading relation 17416279
  26. Wed Jul 14 08:24:04 2021 error -9 reading relation 24069125
  27. Wed Jul 14 08:25:20 2021 error -1 reading relation 30237126
  28. Wed Jul 14 08:26:47 2021 error -15 reading relation 37095521
  29. Wed Jul 14 08:27:00 2021 error -9 reading relation 38272150
  30. Wed Jul 14 08:28:05 2021 error -5 reading relation 43964731
  31. Wed Jul 14 08:29:31 2021 error -9 reading relation 51275728
  32. Wed Jul 14 08:29:31 2021 error -15 reading relation 51276349
  33. Wed Jul 14 08:29:31 2021 error -5 reading relation 51277386
  34. Wed Jul 14 08:29:53 2021 error -5 reading relation 53140524
  35. Wed Jul 14 08:30:00 2021 error -15 reading relation 53805651
  36. Wed Jul 14 08:30:49 2021 error -9 reading relation 57903875
  37. Wed Jul 14 08:30:49 2021 error -9 reading relation 57925668
  38. Wed Jul 14 08:30:53 2021 error -9 reading relation 58317932
  39. Wed Jul 14 08:31:01 2021 error -15 reading relation 58929827
  40. Wed Jul 14 08:31:03 2021 error -9 reading relation 59110702
  41. Wed Jul 14 08:31:07 2021 error -9 reading relation 59460729
  42. Wed Jul 14 08:31:32 2021 error -5 reading relation 61538090
  43. Wed Jul 14 08:31:46 2021 error -15 reading relation 62650495
  44. Wed Jul 14 08:32:32 2021 error -9 reading relation 66722845
  45. Wed Jul 14 08:32:35 2021 error -9 reading relation 66950318
  46. Wed Jul 14 08:32:54 2021 error -5 reading relation 68535661
  47. Wed Jul 14 08:33:15 2021 error -5 reading relation 70327370
  48. Wed Jul 14 08:33:26 2021 error -15 reading relation 71220675
  49. Wed Jul 14 08:33:30 2021 error -1 reading relation 71569829
  50. Wed Jul 14 08:33:30 2021 error -1 reading relation 71569830
  51. Wed Jul 14 08:33:30 2021 error -1 reading relation 71569831
  52. Wed Jul 14 08:33:30 2021 error -1 reading relation 71569832
  53. Wed Jul 14 08:34:01 2021 error -9 reading relation 74302767
  54. Wed Jul 14 08:34:45 2021 error -15 reading relation 78003914
  55. Wed Jul 14 08:34:59 2021 error -15 reading relation 79249814
  56. Wed Jul 14 08:35:02 2021 error -5 reading relation 79480205
  57. Wed Jul 14 08:35:38 2021 error -15 reading relation 82462466
  58. Wed Jul 14 08:35:49 2021 error -9 reading relation 83398600
  59. Wed Jul 14 08:35:50 2021 error -5 reading relation 83506870
  60. Wed Jul 14 08:36:57 2021 error -9 reading relation 89324694
  61. Wed Jul 14 08:37:08 2021 error -1 reading relation 90252043
  62. Wed Jul 14 08:37:22 2021 error -9 reading relation 91504977
  63. Wed Jul 14 08:37:25 2021 error -1 reading relation 91682329
  64. Wed Jul 14 08:37:29 2021 error -5 reading relation 92092112
  65. Wed Jul 14 08:37:34 2021 error -15 reading relation 92484902
  66. Wed Jul 14 08:37:38 2021 error -9 reading relation 92845098
  67. Wed Jul 14 08:37:54 2021 error -9 reading relation 94193262
  68. Wed Jul 14 08:37:56 2021 error -5 reading relation 94370062
  69. Wed Jul 14 08:38:03 2021 error -9 reading relation 94997711
  70. Wed Jul 14 08:38:06 2021 error -9 reading relation 95205441
  71. Wed Jul 14 08:38:06 2021 error -9 reading relation 95208797
  72. Wed Jul 14 08:38:07 2021 error -5 reading relation 95287209
  73. Wed Jul 14 08:38:32 2021 error -15 reading relation 97375304
  74. Wed Jul 14 08:38:38 2021 error -5 reading relation 97917700
  75. Wed Jul 14 08:38:57 2021 error -9 reading relation 99499143
  76. Wed Jul 14 08:39:02 2021 error -9 reading relation 99918094
  77. Wed Jul 14 08:39:11 2021 error -9 reading relation 100722244
  78. Wed Jul 14 08:39:15 2021 error -1 reading relation 101016239
  79. Wed Jul 14 08:39:15 2021 error -9 reading relation 101049663
  80. Wed Jul 14 08:39:15 2021 error -1 reading relation 101069155
  81. Wed Jul 14 08:39:17 2021 error -15 reading relation 101195835
  82. Wed Jul 14 08:39:22 2021 error -15 reading relation 101669378
  83. Wed Jul 14 08:39:25 2021 error -15 reading relation 101893561
  84. Wed Jul 14 08:40:04 2021 error -9 reading relation 105070720
  85. Wed Jul 14 08:40:12 2021 error -15 reading relation 105777694
  86. Wed Jul 14 08:40:18 2021 error -1 reading relation 106313397
  87. Wed Jul 14 08:40:43 2021 error -5 reading relation 108470415
  88. Wed Jul 14 08:40:43 2021 error -1 reading relation 108472704
  89. Wed Jul 14 08:42:06 2021 error -15 reading relation 115650179
  90. Wed Jul 14 08:42:18 2021 error -9 reading relation 116687240
  91. Wed Jul 14 08:42:33 2021 error -15 reading relation 117984114
  92. Wed Jul 14 08:42:33 2021 error -15 reading relation 118047970
  93. Wed Jul 14 08:42:34 2021 error -1 reading relation 118130786
  94. Wed Jul 14 08:42:35 2021 error -15 reading relation 118159571
  95. Wed Jul 14 08:42:35 2021 error -1 reading relation 118194662
  96. Wed Jul 14 08:42:35 2021 error -1 reading relation 118194663
  97. Wed Jul 14 08:42:38 2021 error -9 reading relation 118421156
  98. Wed Jul 14 08:42:50 2021 error -1 reading relation 119477130
  99. Wed Jul 14 08:43:29 2021 error -9 reading relation 122855024
  100. Wed Jul 14 08:44:38 2021 error -9 reading relation 128619394
  101. Wed Jul 14 08:45:13 2021 error -9 reading relation 131579276
  102. Wed Jul 14 08:45:32 2021 error -1 reading relation 133188478
  103. Wed Jul 14 08:45:34 2021 error -15 reading relation 133367771
  104. Wed Jul 14 08:45:34 2021 error -5 reading relation 133369793
  105. Wed Jul 14 08:45:34 2021 error -9 reading relation 133386027
  106. Wed Jul 14 08:45:34 2021 error -15 reading relation 133392540
  107. Wed Jul 14 08:45:37 2021 error -15 reading relation 133648809
  108. Wed Jul 14 08:45:38 2021 skipped 10 relations with b > 2^32
  109. Wed Jul 14 08:45:38 2021 skipped 47 relations with composite factors
  110. Wed Jul 14 08:45:38 2021 found 25915893 hash collisions in 133768982 relations
  111. Wed Jul 14 08:45:48 2021 added 2438358 free relations
  112. Wed Jul 14 08:45:48 2021 commencing duplicate removal, pass 2
  113. Wed Jul 14 08:47:27 2021 found 24623304 duplicates and 111584036 unique relations
  114. Wed Jul 14 08:47:27 2021 memory use: 660.8 MB
  115. Wed Jul 14 08:47:27 2021 reading ideals above 81985536
  116. Wed Jul 14 08:47:27 2021 commencing singleton removal, initial pass
  117. Wed Jul 14 09:04:34 2021 memory use: 2756.0 MB
  118. Wed Jul 14 09:04:34 2021 reading all ideals from disk
  119. Wed Jul 14 09:04:37 2021 memory use: 1883.3 MB
  120. Wed Jul 14 09:04:43 2021 commencing in-memory singleton removal
  121. Wed Jul 14 09:04:48 2021 begin with 111584036 relations and 84045653 unique ideals
  122. Wed Jul 14 09:05:34 2021 reduce to 80812647 relations and 50683295 ideals in 12 passes
  123. Wed Jul 14 09:05:34 2021 max relations containing the same ideal: 42
  124. Wed Jul 14 09:05:41 2021 reading ideals above 720000
  125. Wed Jul 14 09:05:41 2021 commencing singleton removal, initial pass
  126. Wed Jul 14 09:21:18 2021 memory use: 1506.0 MB
  127. Wed Jul 14 09:21:18 2021 reading all ideals from disk
  128. Wed Jul 14 09:21:25 2021 memory use: 3027.3 MB
  129. Wed Jul 14 09:21:37 2021 keeping 59823533 ideals with weight <= 200, target excess is 416685
  130. Wed Jul 14 09:21:48 2021 commencing in-memory singleton removal
  131. Wed Jul 14 09:21:58 2021 begin with 80812647 relations and 59823533 unique ideals
  132. Wed Jul 14 09:22:31 2021 reduce to 80812513 relations and 59823399 ideals in 4 passes
  133. Wed Jul 14 09:22:31 2021 max relations containing the same ideal: 200
  134. Wed Jul 14 09:23:14 2021 removing 7791582 relations and 5791582 ideals in 2000000 cliques
  135. Wed Jul 14 09:23:17 2021 commencing in-memory singleton removal
  136. Wed Jul 14 09:23:26 2021 begin with 73020931 relations and 59823399 unique ideals
  137. Wed Jul 14 09:24:28 2021 reduce to 72395392 relations and 53387437 ideals in 9 passes
  138. Wed Jul 14 09:24:28 2021 max relations containing the same ideal: 195
  139. Wed Jul 14 09:25:07 2021 removing 6345291 relations and 4345291 ideals in 2000000 cliques
  140. Wed Jul 14 09:25:10 2021 commencing in-memory singleton removal
  141. Wed Jul 14 09:25:18 2021 begin with 66050101 relations and 53387437 unique ideals
  142. Wed Jul 14 09:26:07 2021 reduce to 65619035 relations and 48598922 ideals in 8 passes
  143. Wed Jul 14 09:26:07 2021 max relations containing the same ideal: 185
  144. Wed Jul 14 09:26:42 2021 removing 5904062 relations and 3904062 ideals in 2000000 cliques
  145. Wed Jul 14 09:26:45 2021 commencing in-memory singleton removal
  146. Wed Jul 14 09:26:52 2021 begin with 59714973 relations and 48598922 unique ideals
  147. Wed Jul 14 09:27:31 2021 reduce to 59330194 relations and 44299162 ideals in 7 passes
  148. Wed Jul 14 09:27:31 2021 max relations containing the same ideal: 174
  149. Wed Jul 14 09:28:03 2021 removing 5677433 relations and 3677433 ideals in 2000000 cliques
  150. Wed Jul 14 09:28:06 2021 commencing in-memory singleton removal
  151. Wed Jul 14 09:28:12 2021 begin with 53652761 relations and 44299162 unique ideals
  152. Wed Jul 14 09:28:47 2021 reduce to 53282613 relations and 40240109 ideals in 7 passes
  153. Wed Jul 14 09:28:47 2021 max relations containing the same ideal: 162
  154. Wed Jul 14 09:29:16 2021 removing 5543891 relations and 3543891 ideals in 2000000 cliques
  155. Wed Jul 14 09:29:19 2021 commencing in-memory singleton removal
  156. Wed Jul 14 09:29:24 2021 begin with 47738722 relations and 40240109 unique ideals
  157. Wed Jul 14 09:29:50 2021 reduce to 47366792 relations and 36311925 ideals in 6 passes
  158. Wed Jul 14 09:29:50 2021 max relations containing the same ideal: 149
  159. Wed Jul 14 09:30:17 2021 removing 5455681 relations and 3455681 ideals in 2000000 cliques
  160. Wed Jul 14 09:30:19 2021 commencing in-memory singleton removal
  161. Wed Jul 14 09:30:24 2021 begin with 41911111 relations and 36311925 unique ideals
  162. Wed Jul 14 09:30:47 2021 reduce to 41524635 relations and 32455499 ideals in 6 passes
  163. Wed Jul 14 09:30:47 2021 max relations containing the same ideal: 138
  164. Wed Jul 14 09:31:10 2021 removing 5395854 relations and 3395854 ideals in 2000000 cliques
  165. Wed Jul 14 09:31:13 2021 commencing in-memory singleton removal
  166. Wed Jul 14 09:31:17 2021 begin with 36128781 relations and 32455499 unique ideals
  167. Wed Jul 14 09:31:40 2021 reduce to 35715167 relations and 28628932 ideals in 7 passes
  168. Wed Jul 14 09:31:40 2021 max relations containing the same ideal: 125
  169. Wed Jul 14 09:32:00 2021 removing 5354531 relations and 3354531 ideals in 2000000 cliques
  170. Wed Jul 14 09:32:02 2021 commencing in-memory singleton removal
  171. Wed Jul 14 09:32:06 2021 begin with 30360636 relations and 28628932 unique ideals
  172. Wed Jul 14 09:32:24 2021 reduce to 29905698 relations and 24798198 ideals in 7 passes
  173. Wed Jul 14 09:32:24 2021 max relations containing the same ideal: 111
  174. Wed Jul 14 09:32:42 2021 removing 5316745 relations and 3316745 ideals in 2000000 cliques
  175. Wed Jul 14 09:32:45 2021 commencing in-memory singleton removal
  176. Wed Jul 14 09:32:48 2021 begin with 24588953 relations and 24798198 unique ideals
  177. Wed Jul 14 09:33:06 2021 reduce to 24072686 relations and 20936617 ideals in 8 passes
  178. Wed Jul 14 09:33:06 2021 max relations containing the same ideal: 94
  179. Wed Jul 14 09:33:21 2021 removing 5279892 relations and 3279892 ideals in 2000000 cliques
  180. Wed Jul 14 09:33:22 2021 commencing in-memory singleton removal
  181. Wed Jul 14 09:33:25 2021 begin with 18792794 relations and 20936617 unique ideals
  182. Wed Jul 14 09:33:37 2021 reduce to 18162792 relations and 16983403 ideals in 8 passes
  183. Wed Jul 14 09:33:37 2021 max relations containing the same ideal: 80
  184. Wed Jul 14 09:33:48 2021 removing 2180209 relations and 1484175 ideals in 696034 cliques
  185. Wed Jul 14 09:33:49 2021 commencing in-memory singleton removal
  186. Wed Jul 14 09:33:51 2021 begin with 15982583 relations and 16983403 unique ideals
  187. Wed Jul 14 09:34:00 2021 reduce to 15762694 relations and 15271493 ideals in 7 passes
  188. Wed Jul 14 09:34:00 2021 max relations containing the same ideal: 70
  189. Wed Jul 14 09:34:12 2021 relations with 0 large ideals: 31374
  190. Wed Jul 14 09:34:12 2021 relations with 1 large ideals: 8256
  191. Wed Jul 14 09:34:12 2021 relations with 2 large ideals: 81123
  192. Wed Jul 14 09:34:12 2021 relations with 3 large ideals: 508817
  193. Wed Jul 14 09:34:12 2021 relations with 4 large ideals: 1706352
  194. Wed Jul 14 09:34:12 2021 relations with 5 large ideals: 3380906
  195. Wed Jul 14 09:34:12 2021 relations with 6 large ideals: 4158273
  196. Wed Jul 14 09:34:12 2021 relations with 7+ large ideals: 5887593
  197. Wed Jul 14 09:34:12 2021 commencing 2-way merge
  198. Wed Jul 14 09:34:25 2021 reduce to 10963133 relation sets and 10471932 unique ideals
  199. Wed Jul 14 09:34:25 2021 commencing full merge
  200. Wed Jul 14 09:39:24 2021 memory use: 1415.9 MB
  201. Wed Jul 14 09:39:26 2021 found 5209409 cycles, need 5154132
  202. Wed Jul 14 09:39:27 2021 weight of 5154132 cycles is about 515457859 (100.01/cycle)
  203. Wed Jul 14 09:39:27 2021 distribution of cycle lengths:
  204. Wed Jul 14 09:39:27 2021 1 relations: 226435
  205. Wed Jul 14 09:39:27 2021 2 relations: 334338
  206. Wed Jul 14 09:39:27 2021 3 relations: 413082
  207. Wed Jul 14 09:39:27 2021 4 relations: 444475
  208. Wed Jul 14 09:39:27 2021 5 relations: 461957
  209. Wed Jul 14 09:39:27 2021 6 relations: 455798
  210. Wed Jul 14 09:39:27 2021 7 relations: 436207
  211. Wed Jul 14 09:39:27 2021 8 relations: 401978
  212. Wed Jul 14 09:39:27 2021 9 relations: 360910
  213. Wed Jul 14 09:39:27 2021 10+ relations: 1618952
  214. Wed Jul 14 09:39:27 2021 heaviest cycle: 27 relations
  215. Wed Jul 14 09:39:31 2021 commencing cycle optimization
  216. Wed Jul 14 09:39:41 2021 start with 40122084 relations
  217. Wed Jul 14 09:41:39 2021 pruned 1863276 relations
  218. Wed Jul 14 09:41:39 2021 memory use: 1071.4 MB
  219. Wed Jul 14 09:41:39 2021 distribution of cycle lengths:
  220. Wed Jul 14 09:41:39 2021 1 relations: 226435
  221. Wed Jul 14 09:41:39 2021 2 relations: 342330
  222. Wed Jul 14 09:41:39 2021 3 relations: 431245
  223. Wed Jul 14 09:41:39 2021 4 relations: 464579
  224. Wed Jul 14 09:41:39 2021 5 relations: 487843
  225. Wed Jul 14 09:41:39 2021 6 relations: 480426
  226. Wed Jul 14 09:41:39 2021 7 relations: 460970
  227. Wed Jul 14 09:41:39 2021 8 relations: 420428
  228. Wed Jul 14 09:41:39 2021 9 relations: 374065
  229. Wed Jul 14 09:41:39 2021 10+ relations: 1465811
  230. Wed Jul 14 09:41:39 2021 heaviest cycle: 27 relations
  231. Wed Jul 14 09:41:48 2021 RelProcTime: 4969
  232. Wed Jul 14 09:41:48 2021
  233. Wed Jul 14 09:41:48 2021 commencing linear algebra
  234. Wed Jul 14 09:41:49 2021 read 5154132 cycles
  235. Wed Jul 14 09:42:01 2021 cycles contain 15501642 unique relations
  236. Wed Jul 14 09:44:32 2021 read 15501642 relations
  237. Wed Jul 14 09:45:06 2021 using 20 quadratic characters above 4294917295
  238. Wed Jul 14 09:46:49 2021 building initial matrix
  239. Wed Jul 14 09:50:49 2021 memory use: 1954.9 MB
  240. Wed Jul 14 09:50:56 2021 read 5154132 cycles
  241. Wed Jul 14 09:50:57 2021 matrix is 5153954 x 5154132 (2041.0 MB) with weight 580765576 (112.68/col)
  242. Wed Jul 14 09:50:57 2021 sparse part has weight 483493393 (93.81/col)
  243. Wed Jul 14 09:52:02 2021 filtering completed in 2 passes
  244. Wed Jul 14 09:52:03 2021 matrix is 5153614 x 5153792 (2041.0 MB) with weight 580752679 (112.68/col)
  245. Wed Jul 14 09:52:03 2021 sparse part has weight 483486984 (93.81/col)
  246. Wed Jul 14 09:52:19 2021 matrix starts at (0, 0)
  247. Wed Jul 14 09:52:20 2021 matrix is 5153614 x 5153792 (2041.0 MB) with weight 580752679 (112.68/col)
  248. Wed Jul 14 09:52:20 2021 sparse part has weight 483486984 (93.81/col)
  249. Wed Jul 14 09:52:20 2021 saving the first 48 matrix rows for later
  250. Wed Jul 14 09:52:22 2021 matrix includes 64 packed rows
  251. Wed Jul 14 09:52:23 2021 matrix is 5153566 x 5153792 (1958.2 MB) with weight 492852115 (95.63/col)
  252. Wed Jul 14 09:52:23 2021 sparse part has weight 461780769 (89.60/col)
  253. Wed Jul 14 09:52:23 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  254. Wed Jul 14 09:52:54 2021 commencing Lanczos iteration (6 threads)
  255. Wed Jul 14 09:52:54 2021 memory use: 1643.7 MB
  256. Wed Jul 14 09:53:17 2021 linear algebra at 0.0%, ETA 20h45m
  257. Wed Jul 14 09:53:25 2021 checkpointing every 250000 dimensions
  258. Thu Jul 15 07:10:34 2021 lanczos halted after 81499 iterations (dim = 5153564)
  259. Thu Jul 15 07:10:41 2021 recovered 35 nontrivial dependencies
  260. Thu Jul 15 07:10:42 2021 BLanczosTime: 77334
  261. Thu Jul 15 07:10:42 2021
  262. Thu Jul 15 07:10:42 2021 commencing square root phase
  263. Thu Jul 15 07:10:42 2021 handling dependencies 1 to 64
  264. Thu Jul 15 07:10:42 2021 reading relations for dependency 1
  265. Thu Jul 15 07:10:44 2021 read 2577070 cycles
  266. Thu Jul 15 07:10:50 2021 cycles contain 7752796 unique relations
  267. Thu Jul 15 07:12:32 2021 read 7752796 relations
  268. Thu Jul 15 07:13:24 2021 multiplying 7752796 relations
  269. Thu Jul 15 07:20:53 2021 multiply complete, coefficients have about 188.67 million bits
  270. Thu Jul 15 07:20:54 2021 initial square root is modulo 5901421
  271. Thu Jul 15 07:27:58 2021 sqrtTime: 1036
  272. Thu Jul 15 07:27:58 2021 p83 factor: 34346861137846095512044984756924985842501308424953432110673053850631986507075209431
  273. Thu Jul 15 07:27:58 2021 p106 factor: 4634396932901766449961141199753461180352749168876578096294549777310634210336389545078270533988814411337423
  274. Thu Jul 15 07:27:58 2021 elapsed time 23:09:01
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