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  1. Thu May 28 09:32:14 2020
  2. Thu May 28 09:32:14 2020
  3. Thu May 28 09:32:14 2020 Msieve v. 1.52 (SVN unknown)
  4. Thu May 28 09:32:14 2020 random seeds: 70805740 88a1923f
  5. Thu May 28 09:32:14 2020 factoring 23192672036313577459152408369101046229946514670551948192003145436348050956895434277101409083596623151938877603524699973777306229072601995215520995997259707936781686446067179509157024592725025319128278591311307560280807 (218 digits)
  6. Thu May 28 09:32:15 2020 no P-1/P+1/ECM available, skipping
  7. Thu May 28 09:32:15 2020 commencing number field sieve (218-digit input)
  8. Thu May 28 09:32:15 2020 R0: 83198449060887472631428936505541918917761
  9. Thu May 28 09:32:15 2020 R1: 1
  10. Thu May 28 09:32:15 2020 A0: 1
  11. Thu May 28 09:32:15 2020 A1: 0
  12. Thu May 28 09:32:15 2020 A2: 0
  13. Thu May 28 09:32:15 2020 A3: 0
  14. Thu May 28 09:32:15 2020 A4: 0
  15. Thu May 28 09:32:15 2020 A5: 0
  16. Thu May 28 09:32:15 2020 A6: 19
  17. Thu May 28 09:32:15 2020 skew 0.61, size 2.995e-012, alpha 1.755, combined = 2.656e-013 rroots = 0
  18. Thu May 28 09:32:15 2020
  19. Thu May 28 09:32:15 2020 commencing relation filtering
  20. Thu May 28 09:32:15 2020 setting target matrix density to 120.0
  21. Thu May 28 09:32:15 2020 estimated available RAM is 16316.6 MB
  22. Thu May 28 09:32:15 2020 commencing duplicate removal, pass 1
  23. Thu May 28 09:32:33 2020 error -9 reading relation 2091555
  24. Thu May 28 09:32:33 2020 error -15 reading relation 2109307
  25. Thu May 28 09:32:34 2020 error -9 reading relation 2199578
  26. Thu May 28 09:32:34 2020 error -11 reading relation 2199579
  27. Thu May 28 09:32:35 2020 error -9 reading relation 2355563
  28. Thu May 28 09:32:45 2020 error -9 reading relation 3562961
  29. Thu May 28 09:32:56 2020 error -9 reading relation 4835513
  30. Thu May 28 09:33:02 2020 error -5 reading relation 5518191
  31. Thu May 28 09:33:06 2020 error -1 reading relation 6000851
  32. Thu May 28 09:33:15 2020 error -5 reading relation 7062249
  33. Thu May 28 09:33:15 2020 error -15 reading relation 7085668
  34. Thu May 28 10:08:45 2020 error -15 reading relation 258190129
  35. Thu May 28 10:08:45 2020 error -15 reading relation 258216466
  36. Thu May 28 10:08:48 2020 error -15 reading relation 258516293
  37. Thu May 28 10:08:54 2020 error -9 reading relation 259300423
  38. Thu May 28 10:08:54 2020 error -15 reading relation 259311437
  39. Thu May 28 10:08:55 2020 error -15 reading relation 259319497
  40. Thu May 28 10:08:57 2020 error -15 reading relation 259588688
  41. Thu May 28 10:08:57 2020 skipped 208 relations with b > 2^32
  42. Thu May 28 10:08:57 2020 found 54066076 hash collisions in 259648917 relations
  43. Thu May 28 10:09:23 2020 added 1219433 free relations
  44. Thu May 28 10:09:23 2020 commencing duplicate removal, pass 2
  45. Thu May 28 10:16:30 2020 found 53926464 duplicates and 206941886 unique relations
  46. Thu May 28 10:16:30 2020 memory use: 1321.5 MB
  47. Thu May 28 10:16:30 2020 reading ideals above 179896320
  48. Thu May 28 10:16:30 2020 commencing singleton removal, initial pass
  49. Thu May 28 10:49:51 2020 memory use: 3012.0 MB
  50. Thu May 28 10:49:52 2020 reading all ideals from disk
  51. Thu May 28 10:50:22 2020 memory use: 3586.1 MB
  52. Thu May 28 10:50:30 2020 commencing in-memory singleton removal
  53. Thu May 28 10:50:37 2020 begin with 206941886 relations and 163006548 unique ideals
  54. Thu May 28 10:52:02 2020 reduce to 147449917 relations and 98435337 ideals in 14 passes
  55. Thu May 28 10:52:02 2020 max relations containing the same ideal: 37
  56. Thu May 28 10:52:12 2020 reading ideals above 720000
  57. Thu May 28 10:52:12 2020 commencing singleton removal, initial pass
  58. Thu May 28 11:21:40 2020 memory use: 3012.0 MB
  59. Thu May 28 11:21:40 2020 reading all ideals from disk
  60. Thu May 28 11:22:57 2020 memory use: 5856.9 MB
  61. Thu May 28 11:23:12 2020 keeping 117751989 ideals with weight <= 200, target excess is 732388
  62. Thu May 28 11:23:29 2020 commencing in-memory singleton removal
  63. Thu May 28 11:23:41 2020 begin with 147449917 relations and 117751989 unique ideals
  64. Thu May 28 11:24:58 2020 reduce to 147448188 relations and 117750260 ideals in 6 passes
  65. Thu May 28 11:24:58 2020 max relations containing the same ideal: 200
  66. Thu May 28 11:26:00 2020 removing 10461107 relations and 8461108 ideals in 2000000 cliques
  67. Thu May 28 11:26:03 2020 commencing in-memory singleton removal
  68. Thu May 28 11:26:14 2020 begin with 136987081 relations and 117750260 unique ideals
  69. Thu May 28 11:27:49 2020 reduce to 136374004 relations and 108665070 ideals in 8 passes
  70. Thu May 28 11:27:49 2020 max relations containing the same ideal: 198
  71. Thu May 28 11:28:46 2020 removing 8053396 relations and 6053396 ideals in 2000000 cliques
  72. Thu May 28 11:28:49 2020 commencing in-memory singleton removal
  73. Thu May 28 11:28:59 2020 begin with 128320608 relations and 108665070 unique ideals
  74. Thu May 28 11:30:16 2020 reduce to 127911094 relations and 102195747 ideals in 7 passes
  75. Thu May 28 11:30:16 2020 max relations containing the same ideal: 191
  76. Thu May 28 11:31:10 2020 removing 7339646 relations and 5339646 ideals in 2000000 cliques
  77. Thu May 28 11:31:13 2020 commencing in-memory singleton removal
  78. Thu May 28 11:31:22 2020 begin with 120571448 relations and 102195747 unique ideals
  79. Thu May 28 11:32:55 2020 reduce to 120213432 relations and 96492503 ideals in 9 passes
  80. Thu May 28 11:32:55 2020 max relations containing the same ideal: 185
  81. Thu May 28 11:33:47 2020 removing 6978520 relations and 4978520 ideals in 2000000 cliques
  82. Thu May 28 11:33:49 2020 commencing in-memory singleton removal
  83. Thu May 28 11:33:58 2020 begin with 113234912 relations and 96492503 unique ideals
  84. Thu May 28 11:35:06 2020 reduce to 112896561 relations and 91170123 ideals in 7 passes
  85. Thu May 28 11:35:06 2020 max relations containing the same ideal: 180
  86. Thu May 28 11:35:54 2020 removing 6758659 relations and 4758659 ideals in 2000000 cliques
  87. Thu May 28 11:35:56 2020 commencing in-memory singleton removal
  88. Thu May 28 11:36:04 2020 begin with 106137902 relations and 91170123 unique ideals
  89. Thu May 28 11:37:07 2020 reduce to 105810223 relations and 86078322 ideals in 7 passes
  90. Thu May 28 11:37:07 2020 max relations containing the same ideal: 171
  91. Thu May 28 11:37:53 2020 removing 6614908 relations and 4614908 ideals in 2000000 cliques
  92. Thu May 28 11:37:56 2020 commencing in-memory singleton removal
  93. Thu May 28 11:38:03 2020 begin with 99195315 relations and 86078322 unique ideals
  94. Thu May 28 11:39:02 2020 reduce to 98869086 relations and 81131626 ideals in 7 passes
  95. Thu May 28 11:39:02 2020 max relations containing the same ideal: 166
  96. Thu May 28 11:39:45 2020 removing 6519626 relations and 4519626 ideals in 2000000 cliques
  97. Thu May 28 11:39:47 2020 commencing in-memory singleton removal
  98. Thu May 28 11:39:54 2020 begin with 92349460 relations and 81131626 unique ideals
  99. Thu May 28 11:40:48 2020 reduce to 92016179 relations and 76272713 ideals in 7 passes
  100. Thu May 28 11:40:48 2020 max relations containing the same ideal: 156
  101. Thu May 28 11:41:28 2020 removing 6448877 relations and 4448877 ideals in 2000000 cliques
  102. Thu May 28 11:41:30 2020 commencing in-memory singleton removal
  103. Thu May 28 11:41:37 2020 begin with 85567302 relations and 76272713 unique ideals
  104. Thu May 28 11:42:26 2020 reduce to 85223813 relations and 71473687 ideals in 7 passes
  105. Thu May 28 11:42:26 2020 max relations containing the same ideal: 150
  106. Thu May 28 11:43:04 2020 removing 6410245 relations and 4410245 ideals in 2000000 cliques
  107. Thu May 28 11:43:06 2020 commencing in-memory singleton removal
  108. Thu May 28 11:43:12 2020 begin with 78813568 relations and 71473687 unique ideals
  109. Thu May 28 11:43:51 2020 reduce to 78454653 relations and 66696974 ideals in 6 passes
  110. Thu May 28 11:43:51 2020 max relations containing the same ideal: 140
  111. Thu May 28 11:44:26 2020 removing 6391445 relations and 4391445 ideals in 2000000 cliques
  112. Thu May 28 11:44:28 2020 commencing in-memory singleton removal
  113. Thu May 28 11:44:33 2020 begin with 72063208 relations and 66696974 unique ideals
  114. Thu May 28 11:45:15 2020 reduce to 71680436 relations and 61914369 ideals in 7 passes
  115. Thu May 28 11:45:15 2020 max relations containing the same ideal: 132
  116. Thu May 28 11:45:47 2020 removing 6387978 relations and 4387978 ideals in 2000000 cliques
  117. Thu May 28 11:45:49 2020 commencing in-memory singleton removal
  118. Thu May 28 11:45:54 2020 begin with 65292458 relations and 61914369 unique ideals
  119. Thu May 28 11:46:31 2020 reduce to 64878900 relations and 57102729 ideals in 7 passes
  120. Thu May 28 11:46:31 2020 max relations containing the same ideal: 124
  121. Thu May 28 11:47:00 2020 removing 6405463 relations and 4405463 ideals in 2000000 cliques
  122. Thu May 28 11:47:02 2020 commencing in-memory singleton removal
  123. Thu May 28 11:47:06 2020 begin with 58473437 relations and 57102729 unique ideals
  124. Thu May 28 11:47:39 2020 reduce to 58018861 relations and 52230523 ideals in 7 passes
  125. Thu May 28 11:47:39 2020 max relations containing the same ideal: 116
  126. Thu May 28 11:48:05 2020 removing 6441186 relations and 4441186 ideals in 2000000 cliques
  127. Thu May 28 11:48:07 2020 commencing in-memory singleton removal
  128. Thu May 28 11:48:11 2020 begin with 51577675 relations and 52230523 unique ideals
  129. Thu May 28 11:48:39 2020 reduce to 51062674 relations and 47259054 ideals in 7 passes
  130. Thu May 28 11:48:39 2020 max relations containing the same ideal: 106
  131. Thu May 28 11:49:03 2020 removing 6500054 relations and 4500054 ideals in 2000000 cliques
  132. Thu May 28 11:49:04 2020 commencing in-memory singleton removal
  133. Thu May 28 11:49:07 2020 begin with 44562620 relations and 47259054 unique ideals
  134. Thu May 28 11:49:35 2020 reduce to 43958009 relations and 42134231 ideals in 8 passes
  135. Thu May 28 11:49:35 2020 max relations containing the same ideal: 96
  136. Thu May 28 11:49:55 2020 removing 3702123 relations and 2727916 ideals in 974207 cliques
  137. Thu May 28 11:49:57 2020 commencing in-memory singleton removal
  138. Thu May 28 11:50:00 2020 begin with 40255886 relations and 42134231 unique ideals
  139. Thu May 28 11:50:18 2020 reduce to 40024181 relations and 39170086 ideals in 6 passes
  140. Thu May 28 11:50:18 2020 max relations containing the same ideal: 91
  141. Thu May 28 11:50:42 2020 relations with 0 large ideals: 27862
  142. Thu May 28 11:50:42 2020 relations with 1 large ideals: 9897
  143. Thu May 28 11:50:42 2020 relations with 2 large ideals: 142761
  144. Thu May 28 11:50:42 2020 relations with 3 large ideals: 966144
  145. Thu May 28 11:50:42 2020 relations with 4 large ideals: 3535841
  146. Thu May 28 11:50:42 2020 relations with 5 large ideals: 7756283
  147. Thu May 28 11:50:42 2020 relations with 6 large ideals: 10636170
  148. Thu May 28 11:50:42 2020 relations with 7+ large ideals: 16949223
  149. Thu May 28 11:50:42 2020 commencing 2-way merge
  150. Thu May 28 11:51:07 2020 reduce to 26791907 relation sets and 25937812 unique ideals
  151. Thu May 28 11:51:07 2020 commencing full merge
  152. Thu May 28 12:02:58 2020 memory use: 3395.0 MB
  153. Thu May 28 12:03:01 2020 found 11948277 cycles, need 11922012
  154. Thu May 28 12:03:02 2020 weight of 11922012 cycles is about 1430728178 (120.01/cycle)
  155. Thu May 28 12:03:02 2020 distribution of cycle lengths:
  156. Thu May 28 12:03:02 2020 1 relations: 502946
  157. Thu May 28 12:03:02 2020 2 relations: 711685
  158. Thu May 28 12:03:02 2020 3 relations: 827157
  159. Thu May 28 12:03:02 2020 4 relations: 856446
  160. Thu May 28 12:03:02 2020 5 relations: 874596
  161. Thu May 28 12:03:02 2020 6 relations: 866095
  162. Thu May 28 12:03:02 2020 7 relations: 853004
  163. Thu May 28 12:03:02 2020 8 relations: 816402
  164. Thu May 28 12:03:02 2020 9 relations: 769330
  165. Thu May 28 12:03:02 2020 10+ relations: 4844351
  166. Thu May 28 12:03:02 2020 heaviest cycle: 28 relations
  167. Thu May 28 12:03:04 2020 commencing cycle optimization
  168. Thu May 28 12:03:26 2020 start with 106952406 relations
  169. Thu May 28 12:08:49 2020 pruned 5230162 relations
  170. Thu May 28 12:08:49 2020 memory use: 2762.2 MB
  171. Thu May 28 12:08:49 2020 distribution of cycle lengths:
  172. Thu May 28 12:08:49 2020 1 relations: 502946
  173. Thu May 28 12:08:49 2020 2 relations: 730654
  174. Thu May 28 12:08:49 2020 3 relations: 864202
  175. Thu May 28 12:08:49 2020 4 relations: 894645
  176. Thu May 28 12:08:49 2020 5 relations: 920656
  177. Thu May 28 12:08:49 2020 6 relations: 911332
  178. Thu May 28 12:08:49 2020 7 relations: 900615
  179. Thu May 28 12:08:49 2020 8 relations: 858399
  180. Thu May 28 12:08:49 2020 9 relations: 807316
  181. Thu May 28 12:08:49 2020 10+ relations: 4531247
  182. Thu May 28 12:08:49 2020 heaviest cycle: 28 relations
  183. Thu May 28 12:09:19 2020 RelProcTime: 9424
  184. Thu May 28 12:09:19 2020
  185. Thu May 28 12:09:19 2020 commencing linear algebra
  186. Thu May 28 12:09:21 2020 read 11922012 cycles
  187. Thu May 28 12:09:46 2020 cycles contain 39556321 unique relations
  188. Thu May 28 12:17:07 2020 read 39556321 relations
  189. Thu May 28 12:18:21 2020 using 20 quadratic characters above 2147482664
  190. Thu May 28 12:21:06 2020 building initial matrix
  191. Thu May 28 12:29:32 2020 memory use: 4996.8 MB
  192. Thu May 28 12:29:48 2020 read 11922012 cycles
  193. Thu May 28 12:29:51 2020 matrix is 11921835 x 11922012 (5525.4 MB) with weight 1579772105 (132.51/col)
  194. Thu May 28 12:29:51 2020 sparse part has weight 1329217844 (111.49/col)
  195. Thu May 28 12:32:24 2020 filtering completed in 2 passes
  196. Thu May 28 12:32:28 2020 matrix is 11921669 x 11921846 (5525.3 MB) with weight 1579766682 (132.51/col)
  197. Thu May 28 12:32:28 2020 sparse part has weight 1329216151 (111.49/col)
  198. Thu May 28 12:34:10 2020 matrix starts at (0, 0)
  199. Thu May 28 12:34:13 2020 matrix is 11921669 x 11921846 (5525.3 MB) with weight 1579766682 (132.51/col)
  200. Thu May 28 12:34:13 2020 sparse part has weight 1329216151 (111.49/col)
  201. Thu May 28 12:34:13 2020 saving the first 48 matrix rows for later
  202. Thu May 28 12:34:16 2020 matrix includes 64 packed rows
  203. Thu May 28 12:34:19 2020 matrix is 11921621 x 11921846 (5327.5 MB) with weight 1356180729 (113.76/col)
  204. Thu May 28 12:34:19 2020 sparse part has weight 1277357630 (107.14/col)
  205. Thu May 28 12:34:19 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  206. Thu May 28 12:35:27 2020 commencing Lanczos iteration (4 threads)
  207. Thu May 28 12:35:27 2020 memory use: 4556.5 MB
  208. Thu May 28 12:37:11 2020 linear algebra at 0.0%, ETA 217h41m
  209. Thu May 28 12:37:43 2020 checkpointing every 60000 dimensions
  210. Thu May 28 22:29:13 2020 lanczos halted after 8776 iterations (dim = 554949)
  211. Thu May 28 22:29:26 2020 BLanczosTime: 37207
  212. Thu May 28 22:29:26 2020
  213. Thu May 28 22:29:26 2020 commencing square root phase
  214. Thu May 28 22:29:26 2020 handling dependencies 1 to 64
  215. Thu May 28 22:29:26 2020 reading relations for dependency 1
  216. Thu May 28 22:29:26 2020 error: read_cycles can't open dependency file
  217. Thu May 28 22:30:18 2020
  218. Thu May 28 22:30:18 2020
  219. Thu May 28 22:30:18 2020 Msieve v. 1.52 (SVN unknown)
  220. Thu May 28 22:30:18 2020 random seeds: f43cccf0 3b3356c4
  221. Thu May 28 22:30:18 2020 factoring 23192672036313577459152408369101046229946514670551948192003145436348050956895434277101409083596623151938877603524699973777306229072601995215520995997259707936781686446067179509157024592725025319128278591311307560280807 (218 digits)
  222. Thu May 28 22:30:19 2020 no P-1/P+1/ECM available, skipping
  223. Thu May 28 22:30:19 2020 commencing number field sieve (218-digit input)
  224. Thu May 28 22:30:19 2020 R0: 83198449060887472631428936505541918917761
  225. Thu May 28 22:30:19 2020 R1: 1
  226. Thu May 28 22:30:19 2020 A0: 1
  227. Thu May 28 22:30:19 2020 A1: 0
  228. Thu May 28 22:30:19 2020 A2: 0
  229. Thu May 28 22:30:19 2020 A3: 0
  230. Thu May 28 22:30:19 2020 A4: 0
  231. Thu May 28 22:30:19 2020 A5: 0
  232. Thu May 28 22:30:19 2020 A6: 19
  233. Thu May 28 22:30:19 2020 skew 0.61, size 2.995e-012, alpha 1.755, combined = 2.656e-013 rroots = 0
  234. Thu May 28 22:30:19 2020
  235. Thu May 28 22:30:19 2020 commencing linear algebra
  236. Thu May 28 22:30:28 2020 matrix starts at (0, 0)
  237. Thu May 28 22:30:31 2020 matrix is 11921669 x 11921846 (5525.3 MB) with weight 1579766682 (132.51/col)
  238. Thu May 28 22:30:31 2020 sparse part has weight 1329216151 (111.49/col)
  239. Thu May 28 22:30:31 2020 saving the first 48 matrix rows for later
  240. Thu May 28 22:30:35 2020 matrix includes 64 packed rows
  241. Thu May 28 22:30:37 2020 matrix is 11921621 x 11921846 (5327.5 MB) with weight 1356180729 (113.76/col)
  242. Thu May 28 22:30:37 2020 sparse part has weight 1277357630 (107.14/col)
  243. Thu May 28 22:30:37 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  244. Thu May 28 22:31:45 2020 commencing Lanczos iteration (8 threads)
  245. Thu May 28 22:31:45 2020 memory use: 4556.6 MB
  246. Thu May 28 22:31:45 2020 restarting at iteration 8776 (dim = 554949)
  247. Thu May 28 22:32:51 2020 checkpointing every 60000 dimensions
  248. Thu May 28 22:33:18 2020 linear algebra at 4.7%, ETA 194h18m
  249. Sat Jun 06 00:32:43 2020 lanczos halted after 188534 iterations (dim = 11921621)
  250. Sat Jun 06 00:33:08 2020 recovered 40 nontrivial dependencies
  251. Sat Jun 06 00:33:18 2020 BLanczosTime: 698579
  252. Sat Jun 06 00:33:18 2020
  253. Sat Jun 06 00:33:18 2020 commencing square root phase
  254. Sat Jun 06 00:33:18 2020 reading relations for dependency 1
  255. Sat Jun 06 00:33:23 2020 read 5961532 cycles
  256. Sat Jun 06 00:33:36 2020 cycles contain 19774224 unique relations
  257. Sat Jun 06 00:40:29 2020 read 19774224 relations
  258. Sat Jun 06 00:42:15 2020 multiplying 19774224 relations
  259. Sat Jun 06 01:02:15 2020 multiply complete, coefficients have about 572.50 million bits
  260. Sat Jun 06 01:02:22 2020 initial square root is modulo 136879
  261. Sat Jun 06 01:25:32 2020 sqrtTime: 3134
  262. Sat Jun 06 01:25:32 2020 prp100 factor: 5125610225812977785067127052760818770685387269236329482373643613434648121496019095485541143011853849
  263. Sat Jun 06 01:25:32 2020 prp118 factor: 4524860653569295989001241157022612618662607407796784663834766820625773139483779322995540720839602635545126393321279743
  264. Sat Jun 06 01:25:32 2020 elapsed time 194:55:14
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