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  1. Sat May 16 19:26:11 2020
  2. Sat May 16 19:26:11 2020
  3. Sat May 16 19:26:11 2020 Msieve v. 1.54 (SVN 1025)
  4. Sat May 16 19:26:11 2020 random seeds: ddd8c321 be88ac39
  5. Sat May 16 19:26:11 2020 factoring 12217979810913129107446613665785386400072524716505529029273729809930116874341926089641673651433666126348509357752835013440139599456663698714649918334103665946056474170323555809437932963339646714293702027767 (206 digits)
  6. Sat May 16 19:26:12 2020 searching for 15-digit factors
  7. Sat May 16 19:26:12 2020 commencing number field sieve (206-digit input)
  8. Sat May 16 19:26:12 2020 R0: 42117974383768340415833307871690448961536
  9. Sat May 16 19:26:12 2020 R1: 1
  10. Sat May 16 19:26:12 2020 A0: 1
  11. Sat May 16 19:26:12 2020 A1: 0
  12. Sat May 16 19:26:12 2020 A2: 0
  13. Sat May 16 19:26:12 2020 A3: 0
  14. Sat May 16 19:26:12 2020 A4: 0
  15. Sat May 16 19:26:12 2020 A5: 0
  16. Sat May 16 19:26:12 2020 A6: 86
  17. Sat May 16 19:26:12 2020 skew 0.48, size 2.852e-12, alpha 1.727, combined = 2.583e-13 rroots = 0
  18. Sat May 16 19:26:12 2020
  19. Sat May 16 19:26:12 2020 commencing relation filtering
  20. Sat May 16 19:26:12 2020 setting target matrix density to 124.0
  21. Sat May 16 19:26:12 2020 estimated available RAM is 16007.4 MB
  22. Sat May 16 19:26:12 2020 commencing duplicate removal, pass 1
  23. Sat May 16 19:39:38 2020 error -1 reading relation 120996746
  24. Sat May 16 19:41:24 2020 error -5 reading relation 136731304
  25. Sat May 16 19:46:13 2020 error -15 reading relation 179966433
  26. Sat May 16 19:46:39 2020 error -15 reading relation 183870096
  27. Sat May 16 19:47:15 2020 error -11 reading relation 189304916
  28. Sat May 16 19:48:57 2020 skipped 309 relations with b > 2^32
  29. Sat May 16 19:48:57 2020 skipped 2 relations with composite factors
  30. Sat May 16 19:48:57 2020 found 9166331 hash collisions in 204640484 relations
  31. Sat May 16 19:49:11 2020 added 1218886 free relations
  32. Sat May 16 19:49:11 2020 commencing duplicate removal, pass 2
  33. Sat May 16 19:50:10 2020 found 0 duplicates and 205859370 unique relations
  34. Sat May 16 19:50:10 2020 memory use: 522.4 MB
  35. Sat May 16 19:50:10 2020 reading ideals above 179765248
  36. Sat May 16 19:50:10 2020 commencing singleton removal, initial pass
  37. Sat May 16 20:07:19 2020 memory use: 3012.0 MB
  38. Sat May 16 20:07:19 2020 reading all ideals from disk
  39. Sat May 16 20:07:29 2020 memory use: 3569.2 MB
  40. Sat May 16 20:07:36 2020 commencing in-memory singleton removal
  41. Sat May 16 20:07:42 2020 begin with 205859370 relations and 162785214 unique ideals
  42. Sat May 16 20:09:03 2020 reduce to 145983412 relations and 97749221 ideals in 13 passes
  43. Sat May 16 20:09:03 2020 max relations containing the same ideal: 37
  44. Sat May 16 20:09:10 2020 reading ideals above 720000
  45. Sat May 16 20:09:10 2020 commencing singleton removal, initial pass
  46. Sat May 16 20:24:48 2020 memory use: 3012.0 MB
  47. Sat May 16 20:24:48 2020 reading all ideals from disk
  48. Sat May 16 20:25:04 2020 memory use: 5799.0 MB
  49. Sat May 16 20:25:19 2020 keeping 117056776 ideals with weight <= 200, target excess is 724665
  50. Sat May 16 20:25:36 2020 commencing in-memory singleton removal
  51. Sat May 16 20:25:48 2020 begin with 145983412 relations and 117056776 unique ideals
  52. Sat May 16 20:27:17 2020 reduce to 145981416 relations and 117054780 ideals in 7 passes
  53. Sat May 16 20:27:17 2020 max relations containing the same ideal: 200
  54. Sat May 16 20:28:13 2020 removing 10537337 relations and 8537338 ideals in 2000000 cliques
  55. Sat May 16 20:28:16 2020 commencing in-memory singleton removal
  56. Sat May 16 20:28:28 2020 begin with 135444079 relations and 117054780 unique ideals
  57. Sat May 16 20:30:02 2020 reduce to 134816280 relations and 107878292 ideals in 8 passes
  58. Sat May 16 20:30:02 2020 max relations containing the same ideal: 197
  59. Sat May 16 20:30:55 2020 removing 8104582 relations and 6104582 ideals in 2000000 cliques
  60. Sat May 16 20:30:58 2020 commencing in-memory singleton removal
  61. Sat May 16 20:31:08 2020 begin with 126711698 relations and 107878292 unique ideals
  62. Sat May 16 20:32:23 2020 reduce to 126293112 relations and 101348539 ideals in 7 passes
  63. Sat May 16 20:32:23 2020 max relations containing the same ideal: 193
  64. Sat May 16 20:33:12 2020 removing 7387950 relations and 5387950 ideals in 2000000 cliques
  65. Sat May 16 20:33:15 2020 commencing in-memory singleton removal
  66. Sat May 16 20:33:24 2020 begin with 118905162 relations and 101348539 unique ideals
  67. Sat May 16 20:34:34 2020 reduce to 118535693 relations and 95585381 ideals in 7 passes
  68. Sat May 16 20:34:34 2020 max relations containing the same ideal: 187
  69. Sat May 16 20:35:19 2020 removing 7024801 relations and 5024801 ideals in 2000000 cliques
  70. Sat May 16 20:35:22 2020 commencing in-memory singleton removal
  71. Sat May 16 20:35:31 2020 begin with 111510892 relations and 95585381 unique ideals
  72. Sat May 16 20:36:37 2020 reduce to 111164026 relations and 90208128 ideals in 7 passes
  73. Sat May 16 20:36:37 2020 max relations containing the same ideal: 179
  74. Sat May 16 20:37:20 2020 removing 6802714 relations and 4802714 ideals in 2000000 cliques
  75. Sat May 16 20:37:23 2020 commencing in-memory singleton removal
  76. Sat May 16 20:37:31 2020 begin with 104361312 relations and 90208128 unique ideals
  77. Sat May 16 20:38:32 2020 reduce to 104023159 relations and 85061466 ideals in 7 passes
  78. Sat May 16 20:38:32 2020 max relations containing the same ideal: 171
  79. Sat May 16 20:39:13 2020 removing 6654620 relations and 4654620 ideals in 2000000 cliques
  80. Sat May 16 20:39:15 2020 commencing in-memory singleton removal
  81. Sat May 16 20:39:23 2020 begin with 97368539 relations and 85061466 unique ideals
  82. Sat May 16 20:40:19 2020 reduce to 97031501 relations and 80063730 ideals in 7 passes
  83. Sat May 16 20:40:19 2020 max relations containing the same ideal: 166
  84. Sat May 16 20:40:57 2020 removing 6563130 relations and 4563130 ideals in 2000000 cliques
  85. Sat May 16 20:40:59 2020 commencing in-memory singleton removal
  86. Sat May 16 20:41:06 2020 begin with 90468371 relations and 80063730 unique ideals
  87. Sat May 16 20:41:50 2020 reduce to 90124567 relations and 75150372 ideals in 6 passes
  88. Sat May 16 20:41:50 2020 max relations containing the same ideal: 159
  89. Sat May 16 20:42:26 2020 removing 6492855 relations and 4492855 ideals in 2000000 cliques
  90. Sat May 16 20:42:29 2020 commencing in-memory singleton removal
  91. Sat May 16 20:42:35 2020 begin with 83631712 relations and 75150372 unique ideals
  92. Sat May 16 20:43:16 2020 reduce to 83275161 relations and 70293818 ideals in 6 passes
  93. Sat May 16 20:43:16 2020 max relations containing the same ideal: 152
  94. Sat May 16 20:43:50 2020 removing 6455693 relations and 4455693 ideals in 2000000 cliques
  95. Sat May 16 20:43:52 2020 commencing in-memory singleton removal
  96. Sat May 16 20:43:58 2020 begin with 76819468 relations and 70293818 unique ideals
  97. Sat May 16 20:44:41 2020 reduce to 76445340 relations and 65456051 ideals in 7 passes
  98. Sat May 16 20:44:41 2020 max relations containing the same ideal: 141
  99. Sat May 16 20:45:11 2020 removing 6439386 relations and 4439386 ideals in 2000000 cliques
  100. Sat May 16 20:45:13 2020 commencing in-memory singleton removal
  101. Sat May 16 20:45:18 2020 begin with 70005954 relations and 65456051 unique ideals
  102. Sat May 16 20:45:57 2020 reduce to 69606984 relations and 60608543 ideals in 7 passes
  103. Sat May 16 20:45:57 2020 max relations containing the same ideal: 136
  104. Sat May 16 20:46:25 2020 removing 6442454 relations and 4442454 ideals in 2000000 cliques
  105. Sat May 16 20:46:27 2020 commencing in-memory singleton removal
  106. Sat May 16 20:46:31 2020 begin with 63164530 relations and 60608543 unique ideals
  107. Sat May 16 20:47:06 2020 reduce to 62732873 relations and 55723768 ideals in 7 passes
  108. Sat May 16 20:47:06 2020 max relations containing the same ideal: 124
  109. Sat May 16 20:47:31 2020 removing 6462261 relations and 4462261 ideals in 2000000 cliques
  110. Sat May 16 20:47:33 2020 commencing in-memory singleton removal
  111. Sat May 16 20:47:37 2020 begin with 56270612 relations and 55723768 unique ideals
  112. Sat May 16 20:48:08 2020 reduce to 55790169 relations and 50767747 ideals in 7 passes
  113. Sat May 16 20:48:08 2020 max relations containing the same ideal: 114
  114. Sat May 16 20:48:30 2020 removing 6501123 relations and 4501123 ideals in 2000000 cliques
  115. Sat May 16 20:48:32 2020 commencing in-memory singleton removal
  116. Sat May 16 20:48:35 2020 begin with 49289046 relations and 50767747 unique ideals
  117. Sat May 16 20:49:02 2020 reduce to 48739224 relations and 45700129 ideals in 7 passes
  118. Sat May 16 20:49:02 2020 max relations containing the same ideal: 106
  119. Sat May 16 20:49:22 2020 removing 6571670 relations and 4571670 ideals in 2000000 cliques
  120. Sat May 16 20:49:24 2020 commencing in-memory singleton removal
  121. Sat May 16 20:49:27 2020 begin with 42167554 relations and 45700129 unique ideals
  122. Sat May 16 20:49:55 2020 reduce to 41508708 relations and 40446662 ideals in 9 passes
  123. Sat May 16 20:49:55 2020 max relations containing the same ideal: 91
  124. Sat May 16 20:50:12 2020 removing 1117175 relations and 895741 ideals in 221434 cliques
  125. Sat May 16 20:50:14 2020 commencing in-memory singleton removal
  126. Sat May 16 20:50:16 2020 begin with 40391533 relations and 40446662 unique ideals
  127. Sat May 16 20:50:32 2020 reduce to 40370042 relations and 39529324 ideals in 5 passes
  128. Sat May 16 20:50:32 2020 max relations containing the same ideal: 89
  129. Sat May 16 20:50:54 2020 relations with 0 large ideals: 27771
  130. Sat May 16 20:50:54 2020 relations with 1 large ideals: 9526
  131. Sat May 16 20:50:54 2020 relations with 2 large ideals: 139616
  132. Sat May 16 20:50:54 2020 relations with 3 large ideals: 950234
  133. Sat May 16 20:50:54 2020 relations with 4 large ideals: 3501261
  134. Sat May 16 20:50:54 2020 relations with 5 large ideals: 7736470
  135. Sat May 16 20:50:54 2020 relations with 6 large ideals: 10708536
  136. Sat May 16 20:50:54 2020 relations with 7+ large ideals: 17296628
  137. Sat May 16 20:50:54 2020 commencing 2-way merge
  138. Sat May 16 20:51:16 2020 reduce to 26992421 relation sets and 26151703 unique ideals
  139. Sat May 16 20:51:16 2020 commencing full merge
  140. Sat May 16 21:01:29 2020 memory use: 3431.9 MB
  141. Sat May 16 21:01:31 2020 found 11904038 cycles, need 11899903
  142. Sat May 16 21:01:34 2020 weight of 11899903 cycles is about 1475637345 (124.00/cycle)
  143. Sat May 16 21:01:34 2020 distribution of cycle lengths:
  144. Sat May 16 21:01:34 2020 1 relations: 479719
  145. Sat May 16 21:01:34 2020 2 relations: 680322
  146. Sat May 16 21:01:34 2020 3 relations: 797594
  147. Sat May 16 21:01:34 2020 4 relations: 828017
  148. Sat May 16 21:01:34 2020 5 relations: 846573
  149. Sat May 16 21:01:34 2020 6 relations: 842686
  150. Sat May 16 21:01:34 2020 7 relations: 828407
  151. Sat May 16 21:01:34 2020 8 relations: 795495
  152. Sat May 16 21:01:34 2020 9 relations: 753678
  153. Sat May 16 21:01:34 2020 10+ relations: 5047412
  154. Sat May 16 21:01:34 2020 heaviest cycle: 28 relations
  155. Sat May 16 21:01:36 2020 commencing cycle optimization
  156. Sat May 16 21:01:59 2020 start with 110200537 relations
  157. Sat May 16 21:06:14 2020 pruned 5420304 relations
  158. Sat May 16 21:06:14 2020 memory use: 2811.9 MB
  159. Sat May 16 21:06:14 2020 distribution of cycle lengths:
  160. Sat May 16 21:06:14 2020 1 relations: 479719
  161. Sat May 16 21:06:14 2020 2 relations: 697772
  162. Sat May 16 21:06:14 2020 3 relations: 832541
  163. Sat May 16 21:06:14 2020 4 relations: 863935
  164. Sat May 16 21:06:14 2020 5 relations: 892025
  165. Sat May 16 21:06:14 2020 6 relations: 885743
  166. Sat May 16 21:06:14 2020 7 relations: 874968
  167. Sat May 16 21:06:14 2020 8 relations: 836125
  168. Sat May 16 21:06:14 2020 9 relations: 792157
  169. Sat May 16 21:06:14 2020 10+ relations: 4744918
  170. Sat May 16 21:06:14 2020 heaviest cycle: 28 relations
  171. Sat May 16 21:06:32 2020 RelProcTime: 6020
  172. Sat May 16 21:06:32 2020
  173. Sat May 16 21:06:32 2020 commencing linear algebra
  174. Sat May 16 21:06:37 2020 read 11899903 cycles
  175. Sat May 16 21:07:01 2020 cycles contain 39954541 unique relations
  176. Sat May 16 21:10:07 2020 read 39954541 relations
  177. Sat May 16 21:11:13 2020 using 20 quadratic characters above 4294917295
  178. Sat May 16 21:13:43 2020 building initial matrix
  179. Sat May 16 21:21:06 2020 memory use: 5160.1 MB
  180. Sat May 16 21:21:11 2020 read 11899903 cycles
  181. Sat May 16 21:21:12 2020 matrix is 11899726 x 11899903 (5677.3 MB) with weight 1637470915 (137.60/col)
  182. Sat May 16 21:21:12 2020 sparse part has weight 1369277355 (115.07/col)
  183. Sat May 16 21:23:34 2020 filtering completed in 2 passes
  184. Sat May 16 21:23:36 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col)
  185. Sat May 16 21:23:36 2020 sparse part has weight 1369276919 (115.07/col)
  186. Sat May 16 21:24:15 2020 matrix starts at (0, 0)
  187. Sat May 16 21:24:16 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col)
  188. Sat May 16 21:24:16 2020 sparse part has weight 1369276919 (115.07/col)
  189. Sat May 16 21:24:16 2020 saving the first 48 matrix rows for later
  190. Sat May 16 21:24:18 2020 matrix includes 64 packed rows
  191. Sat May 16 21:24:20 2020 matrix is 11899616 x 11899841 (5479.5 MB) with weight 1403563753 (117.95/col)
  192. Sat May 16 21:24:20 2020 sparse part has weight 1317413407 (110.71/col)
  193. Sat May 16 21:24:20 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  194. Sat May 16 21:25:01 2020 commencing Lanczos iteration (4 threads)
  195. Sat May 16 21:25:01 2020 memory use: 5247.3 MB
  196. Sat May 16 21:26:04 2020 linear algebra at 0.0%, ETA 130h27m
  197. Sat May 16 21:26:26 2020 checkpointing every 90000 dimensions
  198. Mon May 18 08:52:46 2020 lanczos halted after 51131 iterations (dim = 3233300)
  199. Mon May 18 08:52:46 2020 BLanczosTime: 128774
  200. Mon May 18 08:52:46 2020
  201. Mon May 18 08:52:46 2020 commencing square root phase
  202. Mon May 18 08:52:46 2020 handling dependencies 1 to 64
  203. Mon May 18 08:52:46 2020 reading relations for dependency 1
  204. Mon May 18 08:52:46 2020 error: read_cycles can't open dependency file
  205. Mon May 18 20:07:48 2020
  206. Mon May 18 20:07:48 2020
  207. Mon May 18 20:07:48 2020 Msieve v. 1.54 (SVN 1025)
  208. Mon May 18 20:07:48 2020 random seeds: 9132ef94 5d6c161e
  209. Mon May 18 20:07:48 2020 factoring 12217979810913129107446613665785386400072524716505529029273729809930116874341926089641673651433666126348509357752835013440139599456663698714649918334103665946056474170323555809437932963339646714293702027767 (206 digits)
  210. Mon May 18 20:07:48 2020 searching for 15-digit factors
  211. Mon May 18 20:07:49 2020 commencing number field sieve (206-digit input)
  212. Mon May 18 20:07:49 2020 R0: 42117974383768340415833307871690448961536
  213. Mon May 18 20:07:49 2020 R1: 1
  214. Mon May 18 20:07:49 2020 A0: 1
  215. Mon May 18 20:07:49 2020 A1: 0
  216. Mon May 18 20:07:49 2020 A2: 0
  217. Mon May 18 20:07:49 2020 A3: 0
  218. Mon May 18 20:07:49 2020 A4: 0
  219. Mon May 18 20:07:49 2020 A5: 0
  220. Mon May 18 20:07:49 2020 A6: 86
  221. Mon May 18 20:07:49 2020 skew 0.48, size 2.852e-12, alpha 1.727, combined = 2.583e-13 rroots = 0
  222. Mon May 18 20:07:49 2020
  223. Mon May 18 20:07:49 2020 commencing linear algebra
  224. Mon May 18 20:07:49 2020 skipping matrix build
  225. Mon May 18 20:08:04 2020 matrix starts at (0, 0)
  226. Mon May 18 20:08:05 2020 matrix is 11899664 x 11899841 (5677.3 MB) with weight 1637469047 (137.60/col)
  227. Mon May 18 20:08:05 2020 sparse part has weight 1369276919 (115.07/col)
  228. Mon May 18 20:08:05 2020 saving the first 48 matrix rows for later
  229. Mon May 18 20:08:07 2020 matrix includes 64 packed rows
  230. Mon May 18 20:08:09 2020 matrix is 11899616 x 11899841 (5479.5 MB) with weight 1403563753 (117.95/col)
  231. Mon May 18 20:08:09 2020 sparse part has weight 1317413407 (110.71/col)
  232. Mon May 18 20:08:09 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  233. Mon May 18 20:08:42 2020 commencing Lanczos iteration (4 threads)
  234. Mon May 18 20:08:42 2020 memory use: 5247.3 MB
  235. Mon May 18 20:08:43 2020 restarting at iteration 51131 (dim = 3233300)
  236. Mon May 18 20:09:09 2020 checkpointing every 110000 dimensions
  237. Mon May 18 20:09:36 2020 linear algebra at 27.2%, ETA 84h15m
  238. Fri May 22 00:31:11 2020 lanczos halted after 188181 iterations (dim = 11899612)
  239. Fri May 22 00:31:38 2020 recovered 34 nontrivial dependencies
  240. Fri May 22 00:31:39 2020 BLanczosTime: 275030
  241. Fri May 22 00:31:39 2020
  242. Fri May 22 00:31:39 2020 commencing square root phase
  243. Fri May 22 00:31:39 2020 handling dependencies 1 to 64
  244. Fri May 22 00:31:39 2020 reading relations for dependency 1
  245. Fri May 22 00:31:41 2020 read 5949745 cycles
  246. Fri May 22 00:31:54 2020 cycles contain 19979150 unique relations
  247. Fri May 22 00:34:16 2020 read 19979150 relations
  248. Fri May 22 00:35:49 2020 multiplying 19979150 relations
  249. Fri May 22 00:56:09 2020 multiply complete, coefficients have about 618.36 million bits
  250. Fri May 22 00:56:12 2020 initial square root is modulo 352939
  251. Fri May 22 01:17:59 2020 sqrtTime: 2780
  252. Fri May 22 01:17:59 2020 p67 factor: 3498385980439285674938991352134789039065450019967818392938619590627
  253. Fri May 22 01:17:59 2020 p139 factor: 3492461917932492004964219154081556988382041275585474159380031598115827814731590030347315833666547000553686858162615527794259307791976249821
  254. Fri May 22 01:17:59 2020 elapsed time 77:10:11
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