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Msieve log of C159_2007666_1688

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May 4th, 2021
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  1. Mon May 03 21:37:17 2021
  2. Mon May 03 21:37:17 2021
  3. Mon May 03 21:37:17 2021 Msieve v. 1.53 (SVN 988)
  4. Mon May 03 21:37:17 2021 random seeds: 8e08a3d8 099adfe0
  5. Mon May 03 21:37:17 2021 factoring 486981232557277907562759533839576714426648875809603997856723324445346488195662029003952126827188737885061078498511537798349757682339141895422940055619619322453 (159 digits)
  6. Mon May 03 21:37:18 2021 searching for 15-digit factors
  7. Mon May 03 21:37:19 2021 commencing number field sieve (159-digit input)
  8. Mon May 03 21:37:19 2021 R0: -13314100221249306802186999119877
  9. Mon May 03 21:37:19 2021 R1: 63015519217206131
  10. Mon May 03 21:37:19 2021 A0: 16435905564587505795100941993691672956600
  11. Mon May 03 21:37:19 2021 A1: 1710538018406210033220920476776110
  12. Mon May 03 21:37:19 2021 A2: -49300499998148512781055369
  13. Mon May 03 21:37:19 2021 A3: -4684637443635457558
  14. Mon May 03 21:37:19 2021 A4: 76700648780
  15. Mon May 03 21:37:19 2021 A5: 1164
  16. Mon May 03 21:37:19 2021 skew 32350670.99, size 1.855e-015, alpha -6.172, combined = 1.635e-012 rroots = 5
  17. Mon May 03 21:37:19 2021
  18. Mon May 03 21:37:19 2021 commencing relation filtering
  19. Mon May 03 21:37:19 2021 setting max relations to 140000000
  20. Mon May 03 21:37:19 2021 setting target matrix density to 120.0
  21. Mon May 03 21:37:19 2021 estimated available RAM is 12043.5 MB
  22. Mon May 03 21:37:19 2021 commencing duplicate removal, pass 1
  23. Mon May 03 21:39:26 2021 error -15 reading relation 10627796
  24. Mon May 03 21:39:40 2021 error -15 reading relation 11831279
  25. Mon May 03 21:49:46 2021 error -9 reading relation 66134822
  26. Mon May 03 21:49:46 2021 error -15 reading relation 66151298
  27. Mon May 03 21:49:50 2021 error -9 reading relation 66427819
  28. Mon May 03 21:50:00 2021 error -15 reading relation 67361567
  29. Mon May 03 21:50:52 2021 error -15 reading relation 71971824
  30. Mon May 03 21:50:53 2021 error -1 reading relation 72086373
  31. Mon May 03 21:51:21 2021 error -15 reading relation 74436572
  32. Mon May 03 21:51:24 2021 error -9 reading relation 74718292
  33. Mon May 03 21:51:37 2021 error -15 reading relation 75844943
  34. Mon May 03 21:51:39 2021 error -9 reading relation 76001292
  35. Mon May 03 21:51:41 2021 error -15 reading relation 76210232
  36. Mon May 03 21:51:42 2021 error -15 reading relation 76265084
  37. Mon May 03 21:51:44 2021 error -9 reading relation 76478044
  38. Mon May 03 21:51:46 2021 error -9 reading relation 76679595
  39. Mon May 03 21:51:48 2021 error -1 reading relation 76872688
  40. Mon May 03 21:51:52 2021 error -1 reading relation 77228776
  41. Mon May 03 21:52:08 2021 error -9 reading relation 78584300
  42. Mon May 03 21:52:12 2021 error -1 reading relation 78918554
  43. Mon May 03 21:52:46 2021 error -5 reading relation 81892722
  44. Mon May 03 21:52:47 2021 error -15 reading relation 81991538
  45. Mon May 03 21:53:12 2021 error -9 reading relation 83984258
  46. Mon May 03 21:53:33 2021 error -9 reading relation 85674248
  47. Mon May 03 21:53:42 2021 error -15 reading relation 86586866
  48. Mon May 03 21:53:46 2021 error -15 reading relation 86967253
  49. Mon May 03 21:54:03 2021 error -9 reading relation 88482552
  50. Mon May 03 21:54:22 2021 error -1 reading relation 90208205
  51. Mon May 03 21:54:23 2021 error -1 reading relation 90320452
  52. Mon May 03 21:54:57 2021 error -15 reading relation 93167142
  53. Mon May 03 21:54:58 2021 error -15 reading relation 93299027
  54. Mon May 03 21:55:51 2021 error -15 reading relation 98107692
  55. Mon May 03 21:56:01 2021 error -15 reading relation 98921191
  56. Mon May 03 21:56:36 2021 error -15 reading relation 101857631
  57. Mon May 03 21:56:59 2021 error -15 reading relation 103752828
  58. Mon May 03 21:57:04 2021 error -9 reading relation 104080408
  59. Mon May 03 21:57:47 2021 error -15 reading relation 107349687
  60. Mon May 03 21:59:00 2021 error -15 reading relation 113901832
  61. Mon May 03 21:59:18 2021 error -11 reading relation 115475041
  62. Mon May 03 21:59:18 2021 error -9 reading relation 115475081
  63. Mon May 03 21:59:50 2021 error -9 reading relation 118081175
  64. Mon May 03 22:03:09 2021 error -15 reading relation 135624974
  65. Mon May 03 22:03:30 2021 error -1 reading relation 137654636
  66. Mon May 03 22:03:30 2021 error -15 reading relation 137657004
  67. Mon May 03 22:03:38 2021 error -1 reading relation 138367877
  68. Mon May 03 22:03:55 2021 skipped 28 relations with composite factors
  69. Mon May 03 22:03:55 2021 found 26898337 hash collisions in 139999927 relations
  70. Mon May 03 22:03:55 2021 commencing duplicate removal, pass 2
  71. Mon May 03 22:05:48 2021 found 27487014 duplicates and 112512913 unique relations
  72. Mon May 03 22:05:48 2021 memory use: 788.8 MB
  73. Mon May 03 22:05:48 2021 reading ideals above 89980928
  74. Mon May 03 22:05:49 2021 commencing singleton removal, initial pass
  75. Mon May 03 22:23:02 2021 memory use: 2756.0 MB
  76. Mon May 03 22:23:02 2021 reading all ideals from disk
  77. Mon May 03 22:23:06 2021 memory use: 1792.8 MB
  78. Mon May 03 22:23:11 2021 commencing in-memory singleton removal
  79. Mon May 03 22:23:15 2021 begin with 112512913 relations and 82123969 unique ideals
  80. Mon May 03 22:23:57 2021 reduce to 81080194 relations and 48055837 ideals in 11 passes
  81. Mon May 03 22:23:57 2021 max relations containing the same ideal: 40
  82. Mon May 03 22:24:04 2021 reading ideals above 720000
  83. Mon May 03 22:24:05 2021 commencing singleton removal, initial pass
  84. Mon May 03 22:39:20 2021 memory use: 1506.0 MB
  85. Mon May 03 22:39:20 2021 reading all ideals from disk
  86. Mon May 03 22:39:25 2021 memory use: 2967.4 MB
  87. Mon May 03 22:39:36 2021 keeping 58043572 ideals with weight <= 200, target excess is 441376
  88. Mon May 03 22:39:47 2021 commencing in-memory singleton removal
  89. Mon May 03 22:39:56 2021 begin with 81080197 relations and 58043572 unique ideals
  90. Mon May 03 22:40:55 2021 reduce to 81064826 relations and 58028200 ideals in 8 passes
  91. Mon May 03 22:40:55 2021 max relations containing the same ideal: 200
  92. Mon May 03 22:41:38 2021 removing 7784255 relations and 5784255 ideals in 2000000 cliques
  93. Mon May 03 22:41:41 2021 commencing in-memory singleton removal
  94. Mon May 03 22:41:50 2021 begin with 73280571 relations and 58028200 unique ideals
  95. Mon May 03 22:42:42 2021 reduce to 72687682 relations and 51633418 ideals in 7 passes
  96. Mon May 03 22:42:42 2021 max relations containing the same ideal: 196
  97. Mon May 03 22:43:19 2021 removing 6193754 relations and 4193754 ideals in 2000000 cliques
  98. Mon May 03 22:43:22 2021 commencing in-memory singleton removal
  99. Mon May 03 22:43:29 2021 begin with 66493928 relations and 51633418 unique ideals
  100. Mon May 03 22:44:05 2021 reduce to 66095310 relations and 47029917 ideals in 6 passes
  101. Mon May 03 22:44:05 2021 max relations containing the same ideal: 183
  102. Mon May 03 22:44:41 2021 removing 5772095 relations and 3772095 ideals in 2000000 cliques
  103. Mon May 03 22:44:43 2021 commencing in-memory singleton removal
  104. Mon May 03 22:44:50 2021 begin with 60323215 relations and 47029917 unique ideals
  105. Mon May 03 22:45:31 2021 reduce to 59977865 relations and 42902646 ideals in 7 passes
  106. Mon May 03 22:45:31 2021 max relations containing the same ideal: 175
  107. Mon May 03 22:46:02 2021 removing 5551025 relations and 3551025 ideals in 2000000 cliques
  108. Mon May 03 22:46:05 2021 commencing in-memory singleton removal
  109. Mon May 03 22:46:11 2021 begin with 54426840 relations and 42902646 unique ideals
  110. Mon May 03 22:46:40 2021 reduce to 54102509 relations and 39017630 ideals in 6 passes
  111. Mon May 03 22:46:40 2021 max relations containing the same ideal: 162
  112. Mon May 03 22:47:09 2021 removing 5405029 relations and 3405029 ideals in 2000000 cliques
  113. Mon May 03 22:47:12 2021 commencing in-memory singleton removal
  114. Mon May 03 22:47:17 2021 begin with 48697480 relations and 39017630 unique ideals
  115. Mon May 03 22:47:43 2021 reduce to 48379998 relations and 35284903 ideals in 6 passes
  116. Mon May 03 22:47:43 2021 max relations containing the same ideal: 154
  117. Mon May 03 22:48:10 2021 removing 5301838 relations and 3301838 ideals in 2000000 cliques
  118. Mon May 03 22:48:13 2021 commencing in-memory singleton removal
  119. Mon May 03 22:48:18 2021 begin with 43078160 relations and 35284903 unique ideals
  120. Mon May 03 22:48:46 2021 reduce to 42756243 relations and 31649710 ideals in 7 passes
  121. Mon May 03 22:48:46 2021 max relations containing the same ideal: 141
  122. Mon May 03 22:49:11 2021 removing 5226892 relations and 3226892 ideals in 2000000 cliques
  123. Mon May 03 22:49:13 2021 commencing in-memory singleton removal
  124. Mon May 03 22:49:17 2021 begin with 37529351 relations and 31649710 unique ideals
  125. Mon May 03 22:49:38 2021 reduce to 37193877 relations and 28074448 ideals in 6 passes
  126. Mon May 03 22:49:38 2021 max relations containing the same ideal: 131
  127. Mon May 03 22:49:58 2021 removing 5164193 relations and 3164193 ideals in 2000000 cliques
  128. Mon May 03 22:50:00 2021 commencing in-memory singleton removal
  129. Mon May 03 22:50:04 2021 begin with 32029684 relations and 28074448 unique ideals
  130. Mon May 03 22:50:20 2021 reduce to 31671858 relations and 24536939 ideals in 6 passes
  131. Mon May 03 22:50:20 2021 max relations containing the same ideal: 114
  132. Mon May 03 22:50:38 2021 removing 5111956 relations and 3111956 ideals in 2000000 cliques
  133. Mon May 03 22:50:39 2021 commencing in-memory singleton removal
  134. Mon May 03 22:50:42 2021 begin with 26559902 relations and 24536939 unique ideals
  135. Mon May 03 22:50:58 2021 reduce to 26167735 relations and 21013257 ideals in 7 passes
  136. Mon May 03 22:50:58 2021 max relations containing the same ideal: 100
  137. Mon May 03 22:51:12 2021 removing 5062475 relations and 3062475 ideals in 2000000 cliques
  138. Mon May 03 22:51:14 2021 commencing in-memory singleton removal
  139. Mon May 03 22:51:17 2021 begin with 21105260 relations and 21013257 unique ideals
  140. Mon May 03 22:51:28 2021 reduce to 20655633 relations and 17474336 ideals in 6 passes
  141. Mon May 03 22:51:28 2021 max relations containing the same ideal: 84
  142. Mon May 03 22:51:40 2021 removing 5015497 relations and 3015497 ideals in 2000000 cliques
  143. Mon May 03 22:51:41 2021 commencing in-memory singleton removal
  144. Mon May 03 22:51:43 2021 begin with 15640136 relations and 17474336 unique ideals
  145. Mon May 03 22:51:55 2021 reduce to 15069842 relations and 13845592 ideals in 9 passes
  146. Mon May 03 22:51:55 2021 max relations containing the same ideal: 70
  147. Mon May 03 22:52:04 2021 removing 2078037 relations and 1365784 ideals in 712253 cliques
  148. Mon May 03 22:52:05 2021 commencing in-memory singleton removal
  149. Mon May 03 22:52:06 2021 begin with 12991805 relations and 13845592 unique ideals
  150. Mon May 03 22:52:14 2021 reduce to 12754131 relations and 12231749 ideals in 8 passes
  151. Mon May 03 22:52:14 2021 max relations containing the same ideal: 63
  152. Mon May 03 22:52:22 2021 removing 58983 relations and 48598 ideals in 10385 cliques
  153. Mon May 03 22:52:22 2021 commencing in-memory singleton removal
  154. Mon May 03 22:52:24 2021 begin with 12695148 relations and 12231749 unique ideals
  155. Mon May 03 22:52:28 2021 reduce to 12694944 relations and 12182947 ideals in 4 passes
  156. Mon May 03 22:52:28 2021 max relations containing the same ideal: 63
  157. Mon May 03 22:52:30 2021 relations with 0 large ideals: 0
  158. Mon May 03 22:52:30 2021 relations with 1 large ideals: 9940
  159. Mon May 03 22:52:30 2021 relations with 2 large ideals: 137029
  160. Mon May 03 22:52:30 2021 relations with 3 large ideals: 741382
  161. Mon May 03 22:52:30 2021 relations with 4 large ideals: 2070818
  162. Mon May 03 22:52:30 2021 relations with 5 large ideals: 3348572
  163. Mon May 03 22:52:30 2021 relations with 6 large ideals: 3308250
  164. Mon May 03 22:52:30 2021 relations with 7+ large ideals: 3078953
  165. Mon May 03 22:52:30 2021 commencing 2-way merge
  166. Mon May 03 22:52:39 2021 reduce to 8825287 relation sets and 8313290 unique ideals
  167. Mon May 03 22:52:39 2021 commencing full merge
  168. Mon May 03 22:55:56 2021 memory use: 1010.7 MB
  169. Mon May 03 22:55:59 2021 found 3963194 cycles, need 3911490
  170. Mon May 03 22:55:59 2021 weight of 3911490 cycles is about 469795100 (120.11/cycle)
  171. Mon May 03 22:55:59 2021 distribution of cycle lengths:
  172. Mon May 03 22:55:59 2021 1 relations: 81419
  173. Mon May 03 22:55:59 2021 2 relations: 192797
  174. Mon May 03 22:55:59 2021 3 relations: 266295
  175. Mon May 03 22:55:59 2021 4 relations: 301407
  176. Mon May 03 22:55:59 2021 5 relations: 332170
  177. Mon May 03 22:55:59 2021 6 relations: 339073
  178. Mon May 03 22:55:59 2021 7 relations: 335092
  179. Mon May 03 22:55:59 2021 8 relations: 315315
  180. Mon May 03 22:55:59 2021 9 relations: 289730
  181. Mon May 03 22:55:59 2021 10+ relations: 1458192
  182. Mon May 03 22:55:59 2021 heaviest cycle: 25 relations
  183. Mon May 03 22:56:02 2021 commencing cycle optimization
  184. Mon May 03 22:56:11 2021 start with 33542885 relations
  185. Mon May 03 22:57:50 2021 pruned 1844145 relations
  186. Mon May 03 22:57:50 2021 memory use: 872.2 MB
  187. Mon May 03 22:57:50 2021 distribution of cycle lengths:
  188. Mon May 03 22:57:50 2021 1 relations: 81419
  189. Mon May 03 22:57:50 2021 2 relations: 199547
  190. Mon May 03 22:57:50 2021 3 relations: 280679
  191. Mon May 03 22:57:50 2021 4 relations: 319070
  192. Mon May 03 22:57:50 2021 5 relations: 354926
  193. Mon May 03 22:57:50 2021 6 relations: 362794
  194. Mon May 03 22:57:50 2021 7 relations: 358842
  195. Mon May 03 22:57:50 2021 8 relations: 334959
  196. Mon May 03 22:57:50 2021 9 relations: 305407
  197. Mon May 03 22:57:50 2021 10+ relations: 1313847
  198. Mon May 03 22:57:50 2021 heaviest cycle: 25 relations
  199. Mon May 03 22:57:57 2021 RelProcTime: 4838
  200. Mon May 03 22:57:57 2021
  201. Mon May 03 22:57:57 2021 commencing linear algebra
  202. Mon May 03 22:57:58 2021 read 3911490 cycles
  203. Mon May 03 22:58:07 2021 cycles contain 12469859 unique relations
  204. Mon May 03 23:00:15 2021 read 12469859 relations
  205. Mon May 03 23:00:41 2021 using 20 quadratic characters above 4294917295
  206. Mon May 03 23:02:00 2021 building initial matrix
  207. Mon May 03 23:05:44 2021 memory use: 1714.4 MB
  208. Mon May 03 23:05:49 2021 read 3911490 cycles
  209. Mon May 03 23:05:50 2021 matrix is 3911311 x 3911490 (1810.7 MB) with weight 548708972 (140.28/col)
  210. Mon May 03 23:05:50 2021 sparse part has weight 431635346 (110.35/col)
  211. Mon May 03 23:06:44 2021 filtering completed in 2 passes
  212. Mon May 03 23:06:45 2021 matrix is 3911172 x 3911350 (1810.7 MB) with weight 548701499 (140.28/col)
  213. Mon May 03 23:06:45 2021 sparse part has weight 431632357 (110.35/col)
  214. Mon May 03 23:06:57 2021 matrix starts at (0, 0)
  215. Mon May 03 23:06:58 2021 matrix is 3911172 x 3911350 (1810.7 MB) with weight 548701499 (140.28/col)
  216. Mon May 03 23:06:58 2021 sparse part has weight 431632357 (110.35/col)
  217. Mon May 03 23:06:58 2021 saving the first 48 matrix rows for later
  218. Mon May 03 23:07:00 2021 matrix includes 64 packed rows
  219. Mon May 03 23:07:00 2021 matrix is 3911124 x 3911350 (1761.8 MB) with weight 469956056 (120.15/col)
  220. Mon May 03 23:07:00 2021 sparse part has weight 422732711 (108.08/col)
  221. Mon May 03 23:07:00 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  222. Mon May 03 23:07:29 2021 commencing Lanczos iteration (6 threads)
  223. Mon May 03 23:07:29 2021 memory use: 1447.7 MB
  224. Mon May 03 23:07:44 2021 linear algebra at 0.0%, ETA 10h 0m
  225. Mon May 03 23:07:49 2021 checkpointing every 390000 dimensions
  226. Tue May 04 09:21:28 2021 lanczos halted after 61850 iterations (dim = 3911123)
  227. Tue May 04 09:21:33 2021 recovered 31 nontrivial dependencies
  228. Tue May 04 09:21:34 2021 BLanczosTime: 37417
  229. Tue May 04 09:21:34 2021
  230. Tue May 04 09:21:34 2021 commencing square root phase
  231. Tue May 04 09:21:34 2021 handling dependencies 1 to 64
  232. Tue May 04 09:21:34 2021 reading relations for dependency 1
  233. Tue May 04 09:21:35 2021 read 1956018 cycles
  234. Tue May 04 09:21:40 2021 cycles contain 6234290 unique relations
  235. Tue May 04 09:23:04 2021 read 6234290 relations
  236. Tue May 04 09:23:37 2021 multiplying 6234290 relations
  237. Tue May 04 09:30:09 2021 multiply complete, coefficients have about 298.41 million bits
  238. Tue May 04 09:30:11 2021 initial square root is modulo 226367
  239. Tue May 04 09:37:59 2021 sqrtTime: 985
  240. Tue May 04 09:37:59 2021 p55 factor: 4477835145893231751825510680359462641252577567874002013
  241. Tue May 04 09:37:59 2021 p105 factor: 108753720646438767265559711425735108294483003755534054614116814287755113683699758242067669894255698273881
  242. Tue May 04 09:37:59 2021 elapsed time 12:00:42
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