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4p3_1449L

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May 17th, 2019
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  1. Mon May 13 14:36:04 2019
  2. Mon May 13 14:36:04 2019
  3. Mon May 13 14:36:04 2019 Msieve v. 1.54 (SVN 1025)
  4. Mon May 13 14:36:04 2019 random seeds: bdfda5f9 ab05fccd
  5. Mon May 13 14:36:04 2019 factoring 59141037584451698454020119332710662485052087891298289432971706269335211232144536294645262575920625501278136022048332104331006180207013109163323702761865928497443562098140067524521407791752648152208989481430767897 (212 digits)
  6. Mon May 13 14:36:05 2019 searching for 15-digit factors
  7. Mon May 13 14:36:05 2019 commencing number field sieve (212-digit input)
  8. Mon May 13 14:36:05 2019 R0: -348449144561426154917576131781987977226227
  9. Mon May 13 14:36:05 2019 R1: 14766705728856080112111339729366024192
  10. Mon May 13 14:36:05 2019 A0: -64
  11. Mon May 13 14:36:05 2019 A1: -192
  12. Mon May 13 14:36:05 2019 A2: 96
  13. Mon May 13 14:36:05 2019 A3: 288
  14. Mon May 13 14:36:05 2019 A4: -144
  15. Mon May 13 14:36:05 2019 A5: -54
  16. Mon May 13 14:36:05 2019 A6: 27
  17. Mon May 13 14:36:05 2019 skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
  18. Mon May 13 14:36:05 2019
  19. Mon May 13 14:36:05 2019 commencing relation filtering
  20. Mon May 13 14:36:05 2019 setting target matrix density to 124.0
  21. Mon May 13 14:36:05 2019 estimated available RAM is 15984.6 MB
  22. Mon May 13 14:36:05 2019 commencing duplicate removal, pass 1
  23. Mon May 13 14:44:59 2019 error -1 reading relation 81129932
  24. Mon May 13 14:45:28 2019 error -15 reading relation 85576044
  25. Mon May 13 14:46:31 2019 error -1 reading relation 95040810
  26. Mon May 13 14:48:45 2019 error -15 reading relation 115462394
  27. Mon May 13 14:51:09 2019 error -15 reading relation 136917264
  28. Mon May 13 14:51:23 2019 error -15 reading relation 139068524
  29. Mon May 13 14:53:10 2019 error -11 reading relation 154811778
  30. Mon May 13 14:53:59 2019 error -5 reading relation 162021710
  31. Mon May 13 14:56:11 2019 error -15 reading relation 181441381
  32. Mon May 13 14:58:59 2019 skipped 83 relations with b > 2^32
  33. Mon May 13 14:58:59 2019 skipped 7 relations with composite factors
  34. Mon May 13 14:58:59 2019 found 9141175 hash collisions in 204438206 relations
  35. Mon May 13 14:58:59 2019 commencing duplicate removal, pass 2
  36. Mon May 13 14:59:53 2019 found 0 duplicates and 204438206 unique relations
  37. Mon May 13 14:59:53 2019 memory use: 522.4 MB
  38. Mon May 13 14:59:53 2019 reading ideals above 133890048
  39. Mon May 13 14:59:53 2019 commencing singleton removal, initial pass
  40. Mon May 13 15:16:33 2019 memory use: 5512.0 MB
  41. Mon May 13 15:16:33 2019 reading all ideals from disk
  42. Mon May 13 15:16:39 2019 memory use: 3846.9 MB
  43. Mon May 13 15:16:46 2019 commencing in-memory singleton removal
  44. Mon May 13 15:16:53 2019 begin with 204438206 relations and 164123355 unique ideals
  45. Mon May 13 15:18:12 2019 reduce to 140987187 relations and 94833063 ideals in 13 passes
  46. Mon May 13 15:18:12 2019 max relations containing the same ideal: 128
  47. Mon May 13 15:18:19 2019 reading ideals above 720000
  48. Mon May 13 15:18:19 2019 commencing singleton removal, initial pass
  49. Mon May 13 15:32:59 2019 memory use: 3012.0 MB
  50. Mon May 13 15:32:59 2019 reading all ideals from disk
  51. Mon May 13 15:33:10 2019 memory use: 5584.6 MB
  52. Mon May 13 15:33:25 2019 keeping 109278773 ideals with weight <= 200, target excess is 726801
  53. Mon May 13 15:33:39 2019 commencing in-memory singleton removal
  54. Mon May 13 15:33:51 2019 begin with 140987187 relations and 109278773 unique ideals
  55. Mon May 13 15:34:12 2019 reduce to 140987186 relations and 109278772 ideals in 2 passes
  56. Mon May 13 15:34:12 2019 max relations containing the same ideal: 200
  57. Mon May 13 15:35:05 2019 removing 10225912 relations and 8225912 ideals in 2000000 cliques
  58. Mon May 13 15:35:07 2019 commencing in-memory singleton removal
  59. Mon May 13 15:35:18 2019 begin with 130761274 relations and 109278772 unique ideals
  60. Mon May 13 15:36:39 2019 reduce to 130227024 relations and 100508956 ideals in 8 passes
  61. Mon May 13 15:36:39 2019 max relations containing the same ideal: 198
  62. Mon May 13 15:37:27 2019 removing 7785486 relations and 5785486 ideals in 2000000 cliques
  63. Mon May 13 15:37:29 2019 commencing in-memory singleton removal
  64. Mon May 13 15:37:38 2019 begin with 122441538 relations and 100508956 unique ideals
  65. Mon May 13 15:38:51 2019 reduce to 122086794 relations and 94363199 ideals in 8 passes
  66. Mon May 13 15:38:51 2019 max relations containing the same ideal: 194
  67. Mon May 13 15:39:34 2019 removing 7057839 relations and 5057839 ideals in 2000000 cliques
  68. Mon May 13 15:39:37 2019 commencing in-memory singleton removal
  69. Mon May 13 15:39:44 2019 begin with 115028955 relations and 94363199 unique ideals
  70. Mon May 13 15:40:29 2019 reduce to 114721045 relations and 88992639 ideals in 6 passes
  71. Mon May 13 15:40:29 2019 max relations containing the same ideal: 185
  72. Mon May 13 15:41:07 2019 removing 6676243 relations and 4676243 ideals in 2000000 cliques
  73. Mon May 13 15:41:09 2019 commencing in-memory singleton removal
  74. Mon May 13 15:41:16 2019 begin with 108044802 relations and 88992639 unique ideals
  75. Mon May 13 15:41:58 2019 reduce to 107763786 relations and 84030825 ideals in 6 passes
  76. Mon May 13 15:41:58 2019 max relations containing the same ideal: 177
  77. Mon May 13 15:42:33 2019 removing 6427072 relations and 4427072 ideals in 2000000 cliques
  78. Mon May 13 15:42:35 2019 commencing in-memory singleton removal
  79. Mon May 13 15:42:41 2019 begin with 101336714 relations and 84030825 unique ideals
  80. Mon May 13 15:43:21 2019 reduce to 101070334 relations and 79332867 ideals in 6 passes
  81. Mon May 13 15:43:21 2019 max relations containing the same ideal: 172
  82. Mon May 13 15:43:54 2019 removing 6246847 relations and 4246847 ideals in 2000000 cliques
  83. Mon May 13 15:43:56 2019 commencing in-memory singleton removal
  84. Mon May 13 15:44:01 2019 begin with 94823487 relations and 79332867 unique ideals
  85. Mon May 13 15:44:38 2019 reduce to 94564428 relations and 74822430 ideals in 6 passes
  86. Mon May 13 15:44:38 2019 max relations containing the same ideal: 163
  87. Mon May 13 15:45:09 2019 removing 6114483 relations and 4114483 ideals in 2000000 cliques
  88. Mon May 13 15:45:11 2019 commencing in-memory singleton removal
  89. Mon May 13 15:45:16 2019 begin with 88449945 relations and 74822430 unique ideals
  90. Mon May 13 15:46:01 2019 reduce to 88193121 relations and 70446339 ideals in 8 passes
  91. Mon May 13 15:46:01 2019 max relations containing the same ideal: 155
  92. Mon May 13 15:46:29 2019 removing 6001874 relations and 4001874 ideals in 2000000 cliques
  93. Mon May 13 15:46:31 2019 commencing in-memory singleton removal
  94. Mon May 13 15:46:36 2019 begin with 82191247 relations and 70446339 unique ideals
  95. Mon May 13 15:47:07 2019 reduce to 81932582 relations and 66180812 ideals in 6 passes
  96. Mon May 13 15:47:07 2019 max relations containing the same ideal: 148
  97. Mon May 13 15:47:34 2019 removing 5913216 relations and 3913216 ideals in 2000000 cliques
  98. Mon May 13 15:47:35 2019 commencing in-memory singleton removal
  99. Mon May 13 15:47:40 2019 begin with 76019366 relations and 66180812 unique ideals
  100. Mon May 13 15:48:08 2019 reduce to 75755663 relations and 61998350 ideals in 6 passes
  101. Mon May 13 15:48:08 2019 max relations containing the same ideal: 141
  102. Mon May 13 15:48:33 2019 removing 5842106 relations and 3842106 ideals in 2000000 cliques
  103. Mon May 13 15:48:34 2019 commencing in-memory singleton removal
  104. Mon May 13 15:48:38 2019 begin with 69913557 relations and 61998350 unique ideals
  105. Mon May 13 15:49:04 2019 reduce to 69642179 relations and 57878663 ideals in 6 passes
  106. Mon May 13 15:49:04 2019 max relations containing the same ideal: 136
  107. Mon May 13 15:49:27 2019 removing 5790717 relations and 3790717 ideals in 2000000 cliques
  108. Mon May 13 15:49:28 2019 commencing in-memory singleton removal
  109. Mon May 13 15:49:32 2019 begin with 63851462 relations and 57878663 unique ideals
  110. Mon May 13 15:50:01 2019 reduce to 63562997 relations and 53792255 ideals in 7 passes
  111. Mon May 13 15:50:01 2019 max relations containing the same ideal: 129
  112. Mon May 13 15:50:22 2019 removing 5749819 relations and 3749819 ideals in 2000000 cliques
  113. Mon May 13 15:50:23 2019 commencing in-memory singleton removal
  114. Mon May 13 15:50:27 2019 begin with 57813178 relations and 53792255 unique ideals
  115. Mon May 13 15:50:56 2019 reduce to 57503554 relations and 49724576 ideals in 8 passes
  116. Mon May 13 15:50:56 2019 max relations containing the same ideal: 117
  117. Mon May 13 15:51:15 2019 removing 5726877 relations and 3726877 ideals in 2000000 cliques
  118. Mon May 13 15:51:17 2019 commencing in-memory singleton removal
  119. Mon May 13 15:51:20 2019 begin with 51776677 relations and 49724576 unique ideals
  120. Mon May 13 15:51:42 2019 reduce to 51432298 relations and 45643028 ideals in 7 passes
  121. Mon May 13 15:51:42 2019 max relations containing the same ideal: 105
  122. Mon May 13 15:51:59 2019 removing 5730345 relations and 3730345 ideals in 2000000 cliques
  123. Mon May 13 15:52:01 2019 commencing in-memory singleton removal
  124. Mon May 13 15:52:03 2019 begin with 45701953 relations and 45643028 unique ideals
  125. Mon May 13 15:52:20 2019 reduce to 45300960 relations and 41498509 ideals in 6 passes
  126. Mon May 13 15:52:20 2019 max relations containing the same ideal: 98
  127. Mon May 13 15:52:35 2019 removing 5771324 relations and 3771324 ideals in 2000000 cliques
  128. Mon May 13 15:52:36 2019 commencing in-memory singleton removal
  129. Mon May 13 15:52:39 2019 begin with 39529636 relations and 41498509 unique ideals
  130. Mon May 13 15:52:56 2019 reduce to 39042572 relations and 37221966 ideals in 7 passes
  131. Mon May 13 15:52:56 2019 max relations containing the same ideal: 90
  132. Mon May 13 15:53:08 2019 removing 3246181 relations and 2268665 ideals in 977516 cliques
  133. Mon May 13 15:53:09 2019 commencing in-memory singleton removal
  134. Mon May 13 15:53:10 2019 begin with 35796391 relations and 37221966 unique ideals
  135. Mon May 13 15:53:24 2019 reduce to 35588711 relations and 34741094 ideals in 7 passes
  136. Mon May 13 15:53:24 2019 max relations containing the same ideal: 86
  137. Mon May 13 15:53:39 2019 relations with 0 large ideals: 55616
  138. Mon May 13 15:53:39 2019 relations with 1 large ideals: 13256
  139. Mon May 13 15:53:39 2019 relations with 2 large ideals: 157823
  140. Mon May 13 15:53:39 2019 relations with 3 large ideals: 1000921
  141. Mon May 13 15:53:39 2019 relations with 4 large ideals: 3458883
  142. Mon May 13 15:53:39 2019 relations with 5 large ideals: 7148155
  143. Mon May 13 15:53:39 2019 relations with 6 large ideals: 9297954
  144. Mon May 13 15:53:39 2019 relations with 7+ large ideals: 14456103
  145. Mon May 13 15:53:39 2019 commencing 2-way merge
  146. Mon May 13 15:53:52 2019 reduce to 24893971 relation sets and 24046354 unique ideals
  147. Mon May 13 15:53:52 2019 commencing full merge
  148. Mon May 13 16:01:20 2019 memory use: 3181.0 MB
  149. Mon May 13 16:01:21 2019 found 10865948 cycles, need 10860554
  150. Mon May 13 16:01:25 2019 weight of 10860554 cycles is about 1346999399 (124.03/cycle)
  151. Mon May 13 16:01:25 2019 distribution of cycle lengths:
  152. Mon May 13 16:01:25 2019 1 relations: 360985
  153. Mon May 13 16:01:25 2019 2 relations: 521042
  154. Mon May 13 16:01:25 2019 3 relations: 654812
  155. Mon May 13 16:01:25 2019 4 relations: 717945
  156. Mon May 13 16:01:25 2019 5 relations: 763462
  157. Mon May 13 16:01:25 2019 6 relations: 783222
  158. Mon May 13 16:01:25 2019 7 relations: 784582
  159. Mon May 13 16:01:25 2019 8 relations: 764265
  160. Mon May 13 16:01:25 2019 9 relations: 726976
  161. Mon May 13 16:01:25 2019 10+ relations: 4783263
  162. Mon May 13 16:01:25 2019 heaviest cycle: 28 relations
  163. Mon May 13 16:01:27 2019 commencing cycle optimization
  164. Mon May 13 16:01:44 2019 start with 103062144 relations
  165. Mon May 13 16:04:55 2019 pruned 5671600 relations
  166. Mon May 13 16:04:55 2019 memory use: 2541.4 MB
  167. Mon May 13 16:04:55 2019 distribution of cycle lengths:
  168. Mon May 13 16:04:55 2019 1 relations: 360985
  169. Mon May 13 16:04:55 2019 2 relations: 534840
  170. Mon May 13 16:04:55 2019 3 relations: 684247
  171. Mon May 13 16:04:55 2019 4 relations: 752376
  172. Mon May 13 16:04:55 2019 5 relations: 809551
  173. Mon May 13 16:04:55 2019 6 relations: 830368
  174. Mon May 13 16:04:55 2019 7 relations: 837669
  175. Mon May 13 16:04:55 2019 8 relations: 812804
  176. Mon May 13 16:04:55 2019 9 relations: 773834
  177. Mon May 13 16:04:55 2019 10+ relations: 4463880
  178. Mon May 13 16:04:55 2019 heaviest cycle: 28 relations
  179. Mon May 13 16:05:14 2019 RelProcTime: 5349
  180. Mon May 13 16:05:14 2019
  181. Mon May 13 16:05:14 2019 commencing linear algebra
  182. Mon May 13 16:05:15 2019 read 10860554 cycles
  183. Mon May 13 16:05:33 2019 cycles contain 35185597 unique relations
  184. Mon May 13 16:08:15 2019 read 35185597 relations
  185. Mon May 13 16:09:05 2019 using 20 quadratic characters above 4294917295
  186. Mon May 13 16:11:04 2019 building initial matrix
  187. Mon May 13 16:16:54 2019 memory use: 4658.0 MB
  188. Mon May 13 16:16:58 2019 read 10860554 cycles
  189. Mon May 13 16:16:59 2019 matrix is 10860377 x 10860554 (5198.4 MB) with weight 1482864007 (136.54/col)
  190. Mon May 13 16:16:59 2019 sparse part has weight 1243250841 (114.47/col)
  191. Mon May 13 16:18:57 2019 filtering completed in 2 passes
  192. Mon May 13 16:18:59 2019 matrix is 10860324 x 10860501 (5198.3 MB) with weight 1482862497 (136.54/col)
  193. Mon May 13 16:18:59 2019 sparse part has weight 1243250483 (114.47/col)
  194. Mon May 13 16:19:25 2019 matrix starts at (0, 0)
  195. Mon May 13 16:19:26 2019 matrix is 10860324 x 10860501 (5198.3 MB) with weight 1482862497 (136.54/col)
  196. Mon May 13 16:19:26 2019 sparse part has weight 1243250483 (114.47/col)
  197. Mon May 13 16:19:26 2019 saving the first 48 matrix rows for later
  198. Mon May 13 16:19:28 2019 matrix includes 64 packed rows
  199. Mon May 13 16:19:30 2019 matrix is 10860276 x 10860501 (4986.6 MB) with weight 1282033720 (118.05/col)
  200. Mon May 13 16:19:30 2019 sparse part has weight 1198612365 (110.36/col)
  201. Mon May 13 16:19:30 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  202. Mon May 13 16:20:02 2019 commencing Lanczos iteration (4 threads)
  203. Mon May 13 16:20:02 2019 memory use: 4775.9 MB
  204. Mon May 13 16:20:45 2019 linear algebra at 0.0%, ETA 82h 0m
  205. Mon May 13 16:20:59 2019 checkpointing every 140000 dimensions
  206. Wed May 15 09:39:07 2019
  207. Wed May 15 09:39:07 2019
  208. Wed May 15 09:39:07 2019 Msieve v. 1.54 (SVN 1025)
  209. Wed May 15 09:39:07 2019 random seeds: ab54c908 94b7045d
  210. Wed May 15 09:39:07 2019 factoring 59141037584451698454020119332710662485052087891298289432971706269335211232144536294645262575920625501278136022048332104331006180207013109163323702761865928497443562098140067524521407791752648152208989481430767897 (212 digits)
  211. Wed May 15 09:39:08 2019 searching for 15-digit factors
  212. Wed May 15 09:39:08 2019 commencing number field sieve (212-digit input)
  213. Wed May 15 09:39:08 2019 R0: -348449144561426154917576131781987977226227
  214. Wed May 15 09:39:08 2019 R1: 14766705728856080112111339729366024192
  215. Wed May 15 09:39:08 2019 A0: -64
  216. Wed May 15 09:39:08 2019 A1: -192
  217. Wed May 15 09:39:08 2019 A2: 96
  218. Wed May 15 09:39:08 2019 A3: 288
  219. Wed May 15 09:39:08 2019 A4: -144
  220. Wed May 15 09:39:08 2019 A5: -54
  221. Wed May 15 09:39:08 2019 A6: 27
  222. Wed May 15 09:39:08 2019 skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
  223. Wed May 15 09:39:08 2019
  224. Wed May 15 09:39:08 2019 commencing linear algebra
  225. Wed May 15 09:39:08 2019 skipping matrix build
  226. Wed May 15 09:39:20 2019 matrix starts at (0, 0)
  227. Wed May 15 09:39:22 2019 matrix is 10860324 x 10860501 (5198.3 MB) with weight 1482862497 (136.54/col)
  228. Wed May 15 09:39:22 2019 sparse part has weight 1243250483 (114.47/col)
  229. Wed May 15 09:39:22 2019 saving the first 48 matrix rows for later
  230. Wed May 15 09:39:24 2019 matrix includes 64 packed rows
  231. Wed May 15 09:39:25 2019 matrix is 10860276 x 10860501 (4986.6 MB) with weight 1282033720 (118.05/col)
  232. Wed May 15 09:39:25 2019 sparse part has weight 1198612365 (110.36/col)
  233. Wed May 15 09:39:25 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  234. Wed May 15 09:39:58 2019 commencing Lanczos iteration (4 threads)
  235. Wed May 15 09:39:58 2019 memory use: 4775.9 MB
  236. Wed May 15 09:39:59 2019 restarting at iteration 59776 (dim = 3780027)
  237. Wed May 15 09:40:38 2019 linear algebra at 34.8%, ETA 50h29m
  238. Wed May 15 09:40:51 2019 checkpointing every 150000 dimensions
  239. Fri May 17 11:58:13 2019 lanczos halted after 171747 iterations (dim = 10860272)
  240. Fri May 17 11:58:28 2019 recovered 32 nontrivial dependencies
  241. Fri May 17 11:58:29 2019 BLanczosTime: 181161
  242. Fri May 17 11:58:29 2019
  243. Fri May 17 11:58:29 2019 commencing square root phase
  244. Fri May 17 11:58:29 2019 handling dependencies 1 to 64
  245. Fri May 17 11:58:29 2019 reading relations for dependency 1
  246. Fri May 17 11:58:30 2019 read 5430200 cycles
  247. Fri May 17 11:58:38 2019 cycles contain 17594960 unique relations
  248. Fri May 17 12:00:10 2019 read 17594960 relations
  249. Fri May 17 12:01:07 2019 multiplying 17594960 relations
  250. Fri May 17 12:13:05 2019 multiply complete, coefficients have about 530.20 million bits
  251. Fri May 17 12:13:08 2019 initial square root is modulo 57131
  252. Fri May 17 12:26:01 2019 GCD is N, no factor found
  253. Fri May 17 12:26:01 2019 reading relations for dependency 2
  254. Fri May 17 12:26:02 2019 read 5433401 cycles
  255. Fri May 17 12:26:11 2019 cycles contain 17599006 unique relations
  256. Fri May 17 12:27:43 2019 read 17599006 relations
  257. Fri May 17 12:28:40 2019 multiplying 17599006 relations
  258. Fri May 17 12:40:33 2019 multiply complete, coefficients have about 530.33 million bits
  259. Fri May 17 12:40:36 2019 initial square root is modulo 57269
  260. Fri May 17 12:53:19 2019 sqrtTime: 3290
  261. Fri May 17 12:53:19 2019 p79 factor: 3061102245738025179105513693998220200138502022729576994090035430619181718293537
  262. Fri May 17 12:53:19 2019 p134 factor: 19320177124692194419405587012432466808704887325916883565157806591886465540999434468500461470261169900408118578426741093043545328332281
  263. Fri May 17 12:53:19 2019 elapsed time 51:14:12
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