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842_501_13m1

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Oct 31st, 2020
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  1. Sat Oct 31 08:16:56 2020
  2. Sat Oct 31 08:16:56 2020
  3. Sat Oct 31 08:16:56 2020 Msieve v. 1.54 (SVN 1025)
  4. Sat Oct 31 08:16:56 2020 random seeds: 3780ab7b 6261990e
  5. Sat Oct 31 08:16:56 2020 factoring 25692699181554911553477662967273825082917086113848696777787018828280946410839015756660404709876918976920049898780286662622044338757683025396341988212619061882151606032146180701791099314170967861471959 (200 digits)
  6. Sat Oct 31 08:16:57 2020 searching for 15-digit factors
  7. Sat Oct 31 08:16:58 2020 commencing number field sieve (200-digit input)
  8. Sat Oct 31 08:16:58 2020 R0: 709316094403163786586156612848961002
  9. Sat Oct 31 08:16:58 2020 R1: -842209056234355501
  10. Sat Oct 31 08:16:58 2020 A0: -1
  11. Sat Oct 31 08:16:58 2020 A1: 3
  12. Sat Oct 31 08:16:58 2020 A2: 6
  13. Sat Oct 31 08:16:58 2020 A3: -4
  14. Sat Oct 31 08:16:58 2020 A4: -5
  15. Sat Oct 31 08:16:58 2020 A5: 1
  16. Sat Oct 31 08:16:58 2020 A6: 1
  17. Sat Oct 31 08:16:58 2020 skew 1.00, size 1.287e-10, alpha 3.126, combined = 3.930e-12 rroots = 6
  18. Sat Oct 31 08:16:58 2020
  19. Sat Oct 31 08:16:58 2020 commencing relation filtering
  20. Sat Oct 31 08:16:58 2020 setting target matrix density to 124.0
  21. Sat Oct 31 08:16:58 2020 estimated available RAM is 16007.4 MB
  22. Sat Oct 31 08:16:58 2020 commencing duplicate removal, pass 1
  23. Sat Oct 31 08:23:12 2020 skipped 1 relations with b > 2^32
  24. Sat Oct 31 08:23:12 2020 found 2205446 hash collisions in 50208944 relations
  25. Sat Oct 31 08:23:19 2020 added 2438357 free relations
  26. Sat Oct 31 08:23:19 2020 commencing duplicate removal, pass 2
  27. Sat Oct 31 08:23:35 2020 found 0 duplicates and 52647301 unique relations
  28. Sat Oct 31 08:23:35 2020 memory use: 130.6 MB
  29. Sat Oct 31 08:23:35 2020 reading ideals above 720000
  30. Sat Oct 31 08:23:36 2020 commencing singleton removal, initial pass
  31. Sat Oct 31 08:30:36 2020 memory use: 1378.0 MB
  32. Sat Oct 31 08:30:36 2020 reading all ideals from disk
  33. Sat Oct 31 08:30:37 2020 memory use: 1885.2 MB
  34. Sat Oct 31 08:30:43 2020 keeping 47648720 ideals with weight <= 200, target excess is 269911
  35. Sat Oct 31 08:30:49 2020 commencing in-memory singleton removal
  36. Sat Oct 31 08:30:54 2020 begin with 52647301 relations and 47648720 unique ideals
  37. Sat Oct 31 08:31:43 2020 reduce to 35399469 relations and 28657502 ideals in 12 passes
  38. Sat Oct 31 08:31:43 2020 max relations containing the same ideal: 163
  39. Sat Oct 31 08:32:01 2020 removing 4565020 relations and 3565020 ideals in 1000000 cliques
  40. Sat Oct 31 08:32:03 2020 commencing in-memory singleton removal
  41. Sat Oct 31 08:32:05 2020 begin with 30834449 relations and 28657502 unique ideals
  42. Sat Oct 31 08:32:33 2020 reduce to 30232459 relations and 24468863 ideals in 9 passes
  43. Sat Oct 31 08:32:33 2020 max relations containing the same ideal: 146
  44. Sat Oct 31 08:32:49 2020 removing 3679088 relations and 2679088 ideals in 1000000 cliques
  45. Sat Oct 31 08:32:50 2020 commencing in-memory singleton removal
  46. Sat Oct 31 08:32:52 2020 begin with 26553371 relations and 24468863 unique ideals
  47. Sat Oct 31 08:33:10 2020 reduce to 26187955 relations and 21411904 ideals in 7 passes
  48. Sat Oct 31 08:33:10 2020 max relations containing the same ideal: 132
  49. Sat Oct 31 08:33:24 2020 removing 3339906 relations and 2339906 ideals in 1000000 cliques
  50. Sat Oct 31 08:33:25 2020 commencing in-memory singleton removal
  51. Sat Oct 31 08:33:27 2020 begin with 22848049 relations and 21411904 unique ideals
  52. Sat Oct 31 08:33:46 2020 reduce to 22519714 relations and 18731726 ideals in 9 passes
  53. Sat Oct 31 08:33:46 2020 max relations containing the same ideal: 120
  54. Sat Oct 31 08:33:58 2020 removing 3194393 relations and 2194393 ideals in 1000000 cliques
  55. Sat Oct 31 08:33:59 2020 commencing in-memory singleton removal
  56. Sat Oct 31 08:34:01 2020 begin with 19325321 relations and 18731726 unique ideals
  57. Sat Oct 31 08:34:15 2020 reduce to 18995723 relations and 16194083 ideals in 8 passes
  58. Sat Oct 31 08:34:15 2020 max relations containing the same ideal: 109
  59. Sat Oct 31 08:34:25 2020 removing 3112759 relations and 2112759 ideals in 1000000 cliques
  60. Sat Oct 31 08:34:26 2020 commencing in-memory singleton removal
  61. Sat Oct 31 08:34:28 2020 begin with 15882964 relations and 16194083 unique ideals
  62. Sat Oct 31 08:34:38 2020 reduce to 15530655 relations and 13712489 ideals in 7 passes
  63. Sat Oct 31 08:34:38 2020 max relations containing the same ideal: 98
  64. Sat Oct 31 08:34:46 2020 removing 3057288 relations and 2057288 ideals in 1000000 cliques
  65. Sat Oct 31 08:34:47 2020 commencing in-memory singleton removal
  66. Sat Oct 31 08:34:48 2020 begin with 12473367 relations and 13712489 unique ideals
  67. Sat Oct 31 08:34:58 2020 reduce to 12078326 relations and 11237650 ideals in 8 passes
  68. Sat Oct 31 08:34:58 2020 max relations containing the same ideal: 83
  69. Sat Oct 31 08:35:04 2020 removing 1800607 relations and 1273028 ideals in 527579 cliques
  70. Sat Oct 31 08:35:05 2020 commencing in-memory singleton removal
  71. Sat Oct 31 08:35:06 2020 begin with 10277719 relations and 11237650 unique ideals
  72. Sat Oct 31 08:35:13 2020 reduce to 10095079 relations and 9774721 ideals in 8 passes
  73. Sat Oct 31 08:35:13 2020 max relations containing the same ideal: 72
  74. Sat Oct 31 08:35:20 2020 relations with 0 large ideals: 19540
  75. Sat Oct 31 08:35:20 2020 relations with 1 large ideals: 6206
  76. Sat Oct 31 08:35:20 2020 relations with 2 large ideals: 44688
  77. Sat Oct 31 08:35:20 2020 relations with 3 large ideals: 288373
  78. Sat Oct 31 08:35:20 2020 relations with 4 large ideals: 1014681
  79. Sat Oct 31 08:35:20 2020 relations with 5 large ideals: 2105208
  80. Sat Oct 31 08:35:20 2020 relations with 6 large ideals: 2690152
  81. Sat Oct 31 08:35:20 2020 relations with 7+ large ideals: 3926231
  82. Sat Oct 31 08:35:20 2020 commencing 2-way merge
  83. Sat Oct 31 08:35:27 2020 reduce to 6746734 relation sets and 6426376 unique ideals
  84. Sat Oct 31 08:35:27 2020 commencing full merge
  85. Sat Oct 31 08:43:08 2020 memory use: 299.2 MB
  86. Sat Oct 31 08:43:08 2020 found 26357 cycles, need 1471111
  87. Sat Oct 31 08:43:08 2020 too few cycles, matrix probably cannot build
  88. Sat Oct 31 08:43:08 2020 filtering wants 1000000 more relations
  89. Sat Oct 31 08:43:08 2020 elapsed time 00:26:12
  90. Sat Oct 31 08:43:22 2020
  91. Sat Oct 31 08:43:22 2020
  92. Sat Oct 31 08:43:22 2020 Msieve v. 1.54 (SVN 1025)
  93. Sat Oct 31 08:43:22 2020 random seeds: c2afc8c4 74879b59
  94. Sat Oct 31 08:43:22 2020 factoring 25692699181554911553477662967273825082917086113848696777787018828280946410839015756660404709876918976920049898780286662622044338757683025396341988212619061882151606032146180701791099314170967861471959 (200 digits)
  95. Sat Oct 31 08:43:23 2020 searching for 15-digit factors
  96. Sat Oct 31 08:43:23 2020 commencing number field sieve (200-digit input)
  97. Sat Oct 31 08:43:23 2020 R0: 709316094403163786586156612848961002
  98. Sat Oct 31 08:43:23 2020 R1: -842209056234355501
  99. Sat Oct 31 08:43:23 2020 A0: -1
  100. Sat Oct 31 08:43:23 2020 A1: 3
  101. Sat Oct 31 08:43:23 2020 A2: 6
  102. Sat Oct 31 08:43:23 2020 A3: -4
  103. Sat Oct 31 08:43:23 2020 A4: -5
  104. Sat Oct 31 08:43:23 2020 A5: 1
  105. Sat Oct 31 08:43:23 2020 A6: 1
  106. Sat Oct 31 08:43:23 2020 skew 1.00, size 1.287e-10, alpha 3.126, combined = 3.930e-12 rroots = 6
  107. Sat Oct 31 08:43:23 2020
  108. Sat Oct 31 08:43:23 2020 commencing relation filtering
  109. Sat Oct 31 08:43:23 2020 setting target matrix density to 120.0
  110. Sat Oct 31 08:43:23 2020 estimated available RAM is 16007.4 MB
  111. Sat Oct 31 08:43:23 2020 commencing duplicate removal, pass 1
  112. Sat Oct 31 08:50:16 2020 skipped 1 relations with b > 2^32
  113. Sat Oct 31 08:50:16 2020 found 2413674 hash collisions in 52647301 relations
  114. Sat Oct 31 08:50:16 2020 commencing duplicate removal, pass 2
  115. Sat Oct 31 08:50:32 2020 found 0 duplicates and 52647301 unique relations
  116. Sat Oct 31 08:50:32 2020 memory use: 130.6 MB
  117. Sat Oct 31 08:50:32 2020 reading ideals above 720000
  118. Sat Oct 31 08:50:33 2020 commencing singleton removal, initial pass
  119. Sat Oct 31 08:57:31 2020 memory use: 1378.0 MB
  120. Sat Oct 31 08:57:31 2020 reading all ideals from disk
  121. Sat Oct 31 08:57:32 2020 memory use: 1885.2 MB
  122. Sat Oct 31 08:57:38 2020 keeping 47648720 ideals with weight <= 200, target excess is 269911
  123. Sat Oct 31 08:57:44 2020 commencing in-memory singleton removal
  124. Sat Oct 31 08:57:49 2020 begin with 52647301 relations and 47648720 unique ideals
  125. Sat Oct 31 08:58:38 2020 reduce to 35399469 relations and 28657502 ideals in 12 passes
  126. Sat Oct 31 08:58:38 2020 max relations containing the same ideal: 163
  127. Sat Oct 31 08:58:56 2020 removing 4565020 relations and 3565020 ideals in 1000000 cliques
  128. Sat Oct 31 08:58:57 2020 commencing in-memory singleton removal
  129. Sat Oct 31 08:59:00 2020 begin with 30834449 relations and 28657502 unique ideals
  130. Sat Oct 31 08:59:28 2020 reduce to 30232459 relations and 24468863 ideals in 9 passes
  131. Sat Oct 31 08:59:28 2020 max relations containing the same ideal: 146
  132. Sat Oct 31 08:59:43 2020 removing 3679088 relations and 2679088 ideals in 1000000 cliques
  133. Sat Oct 31 08:59:44 2020 commencing in-memory singleton removal
  134. Sat Oct 31 08:59:46 2020 begin with 26553371 relations and 24468863 unique ideals
  135. Sat Oct 31 09:00:04 2020 reduce to 26187955 relations and 21411904 ideals in 7 passes
  136. Sat Oct 31 09:00:04 2020 max relations containing the same ideal: 132
  137. Sat Oct 31 09:00:18 2020 removing 3339906 relations and 2339906 ideals in 1000000 cliques
  138. Sat Oct 31 09:00:19 2020 commencing in-memory singleton removal
  139. Sat Oct 31 09:00:21 2020 begin with 22848049 relations and 21411904 unique ideals
  140. Sat Oct 31 09:00:40 2020 reduce to 22519714 relations and 18731726 ideals in 9 passes
  141. Sat Oct 31 09:00:40 2020 max relations containing the same ideal: 120
  142. Sat Oct 31 09:00:52 2020 removing 3194393 relations and 2194393 ideals in 1000000 cliques
  143. Sat Oct 31 09:00:53 2020 commencing in-memory singleton removal
  144. Sat Oct 31 09:00:55 2020 begin with 19325321 relations and 18731726 unique ideals
  145. Sat Oct 31 09:01:10 2020 reduce to 18995723 relations and 16194083 ideals in 8 passes
  146. Sat Oct 31 09:01:10 2020 max relations containing the same ideal: 109
  147. Sat Oct 31 09:01:20 2020 removing 3112759 relations and 2112759 ideals in 1000000 cliques
  148. Sat Oct 31 09:01:21 2020 commencing in-memory singleton removal
  149. Sat Oct 31 09:01:22 2020 begin with 15882964 relations and 16194083 unique ideals
  150. Sat Oct 31 09:01:32 2020 reduce to 15530655 relations and 13712489 ideals in 7 passes
  151. Sat Oct 31 09:01:32 2020 max relations containing the same ideal: 98
  152. Sat Oct 31 09:01:40 2020 removing 3057288 relations and 2057288 ideals in 1000000 cliques
  153. Sat Oct 31 09:01:41 2020 commencing in-memory singleton removal
  154. Sat Oct 31 09:01:42 2020 begin with 12473367 relations and 13712489 unique ideals
  155. Sat Oct 31 09:01:52 2020 reduce to 12078326 relations and 11237650 ideals in 8 passes
  156. Sat Oct 31 09:01:52 2020 max relations containing the same ideal: 83
  157. Sat Oct 31 09:01:58 2020 removing 1800607 relations and 1273028 ideals in 527579 cliques
  158. Sat Oct 31 09:01:59 2020 commencing in-memory singleton removal
  159. Sat Oct 31 09:02:00 2020 begin with 10277719 relations and 11237650 unique ideals
  160. Sat Oct 31 09:02:07 2020 reduce to 10095079 relations and 9774721 ideals in 8 passes
  161. Sat Oct 31 09:02:07 2020 max relations containing the same ideal: 72
  162. Sat Oct 31 09:02:14 2020 relations with 0 large ideals: 19540
  163. Sat Oct 31 09:02:14 2020 relations with 1 large ideals: 6206
  164. Sat Oct 31 09:02:14 2020 relations with 2 large ideals: 44688
  165. Sat Oct 31 09:02:14 2020 relations with 3 large ideals: 288373
  166. Sat Oct 31 09:02:14 2020 relations with 4 large ideals: 1014681
  167. Sat Oct 31 09:02:14 2020 relations with 5 large ideals: 2105208
  168. Sat Oct 31 09:02:14 2020 relations with 6 large ideals: 2690152
  169. Sat Oct 31 09:02:14 2020 relations with 7+ large ideals: 3926231
  170. Sat Oct 31 09:02:14 2020 commencing 2-way merge
  171. Sat Oct 31 09:02:21 2020 reduce to 6746734 relation sets and 6426376 unique ideals
  172. Sat Oct 31 09:02:21 2020 commencing full merge
  173. Sat Oct 31 09:06:20 2020 memory use: 931.5 MB
  174. Sat Oct 31 09:06:21 2020 found 3023465 cycles, need 3022576
  175. Sat Oct 31 09:06:22 2020 weight of 3022576 cycles is about 362895990 (120.06/cycle)
  176. Sat Oct 31 09:06:22 2020 distribution of cycle lengths:
  177. Sat Oct 31 09:06:22 2020 1 relations: 104296
  178. Sat Oct 31 09:06:22 2020 2 relations: 155141
  179. Sat Oct 31 09:06:22 2020 3 relations: 191406
  180. Sat Oct 31 09:06:22 2020 4 relations: 203290
  181. Sat Oct 31 09:06:22 2020 5 relations: 212684
  182. Sat Oct 31 09:06:22 2020 6 relations: 213620
  183. Sat Oct 31 09:06:22 2020 7 relations: 210615
  184. Sat Oct 31 09:06:22 2020 8 relations: 203913
  185. Sat Oct 31 09:06:22 2020 9 relations: 192697
  186. Sat Oct 31 09:06:22 2020 10+ relations: 1334914
  187. Sat Oct 31 09:06:22 2020 heaviest cycle: 28 relations
  188. Sat Oct 31 09:06:23 2020 commencing cycle optimization
  189. Sat Oct 31 09:06:30 2020 start with 28938930 relations
  190. Sat Oct 31 09:08:00 2020 pruned 1496300 relations
  191. Sat Oct 31 09:08:00 2020 memory use: 715.9 MB
  192. Sat Oct 31 09:08:00 2020 distribution of cycle lengths:
  193. Sat Oct 31 09:08:00 2020 1 relations: 104296
  194. Sat Oct 31 09:08:00 2020 2 relations: 158744
  195. Sat Oct 31 09:08:00 2020 3 relations: 199209
  196. Sat Oct 31 09:08:00 2020 4 relations: 212326
  197. Sat Oct 31 09:08:00 2020 5 relations: 224247
  198. Sat Oct 31 09:08:00 2020 6 relations: 225050
  199. Sat Oct 31 09:08:00 2020 7 relations: 223179
  200. Sat Oct 31 09:08:00 2020 8 relations: 215613
  201. Sat Oct 31 09:08:00 2020 9 relations: 203856
  202. Sat Oct 31 09:08:00 2020 10+ relations: 1256056
  203. Sat Oct 31 09:08:00 2020 heaviest cycle: 28 relations
  204. Sat Oct 31 09:08:06 2020 RelProcTime: 1483
  205. Sat Oct 31 09:08:06 2020 elapsed time 00:24:44
  206. Sat Oct 31 09:25:22 2020
  207. Sat Oct 31 09:25:22 2020
  208. Sat Oct 31 09:25:22 2020 Msieve v. 1.54 (SVN 1025)
  209. Sat Oct 31 09:25:22 2020 random seeds: f674de56 5f2e750c
  210. Sat Oct 31 09:25:22 2020 factoring 25692699181554911553477662967273825082917086113848696777787018828280946410839015756660404709876918976920049898780286662622044338757683025396341988212619061882151606032146180701791099314170967861471959 (200 digits)
  211. Sat Oct 31 09:25:23 2020 searching for 15-digit factors
  212. Sat Oct 31 09:25:23 2020 commencing number field sieve (200-digit input)
  213. Sat Oct 31 09:25:23 2020 R0: 709316094403163786586156612848961002
  214. Sat Oct 31 09:25:23 2020 R1: -842209056234355501
  215. Sat Oct 31 09:25:23 2020 A0: -1
  216. Sat Oct 31 09:25:23 2020 A1: 3
  217. Sat Oct 31 09:25:23 2020 A2: 6
  218. Sat Oct 31 09:25:23 2020 A3: -4
  219. Sat Oct 31 09:25:23 2020 A4: -5
  220. Sat Oct 31 09:25:23 2020 A5: 1
  221. Sat Oct 31 09:25:23 2020 A6: 1
  222. Sat Oct 31 09:25:23 2020 skew 1.00, size 1.287e-10, alpha 3.126, combined = 3.930e-12 rroots = 6
  223. Sat Oct 31 09:25:23 2020
  224. Sat Oct 31 09:25:23 2020 commencing linear algebra
  225. Sat Oct 31 09:25:24 2020 read 3022576 cycles
  226. Sat Oct 31 09:25:28 2020 cycles contain 9895507 unique relations
  227. Sat Oct 31 09:26:25 2020 read 9895507 relations
  228. Sat Oct 31 09:26:34 2020 using 20 quadratic characters above 4294917295
  229. Sat Oct 31 09:27:11 2020 building initial matrix
  230. Sat Oct 31 09:28:47 2020 memory use: 1217.6 MB
  231. Sat Oct 31 09:28:48 2020 read 3022576 cycles
  232. Sat Oct 31 09:28:48 2020 matrix is 3022399 x 3022576 (1397.0 MB) with weight 396349713 (131.13/col)
  233. Sat Oct 31 09:28:48 2020 sparse part has weight 335982152 (111.16/col)
  234. Sat Oct 31 09:29:14 2020 filtering completed in 2 passes
  235. Sat Oct 31 09:29:14 2020 matrix is 3022379 x 3022556 (1397.0 MB) with weight 396349057 (131.13/col)
  236. Sat Oct 31 09:29:14 2020 sparse part has weight 335981944 (111.16/col)
  237. Sat Oct 31 09:29:20 2020 matrix starts at (0, 0)
  238. Sat Oct 31 09:29:20 2020 matrix is 3022379 x 3022556 (1397.0 MB) with weight 396349057 (131.13/col)
  239. Sat Oct 31 09:29:20 2020 sparse part has weight 335981944 (111.16/col)
  240. Sat Oct 31 09:29:20 2020 saving the first 48 matrix rows for later
  241. Sat Oct 31 09:29:21 2020 matrix includes 64 packed rows
  242. Sat Oct 31 09:29:21 2020 matrix is 3022331 x 3022556 (1338.8 MB) with weight 342911893 (113.45/col)
  243. Sat Oct 31 09:29:21 2020 sparse part has weight 320732808 (106.11/col)
  244. Sat Oct 31 09:29:21 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  245. Sat Oct 31 09:29:30 2020 commencing Lanczos iteration (4 threads)
  246. Sat Oct 31 09:29:30 2020 memory use: 1265.6 MB
  247. Sat Oct 31 09:29:40 2020 linear algebra at 0.1%, ETA 5h31m
  248. Sat Oct 31 09:29:43 2020 checkpointing every 570000 dimensions
  249. Sat Oct 31 14:20:13 2020 lanczos halted after 47792 iterations (dim = 3022330)
  250. Sat Oct 31 14:20:16 2020 recovered 34 nontrivial dependencies
  251. Sat Oct 31 14:20:16 2020 BLanczosTime: 17693
  252. Sat Oct 31 14:20:16 2020
  253. Sat Oct 31 14:20:16 2020 commencing square root phase
  254. Sat Oct 31 14:20:16 2020 reading relations for dependency 1
  255. Sat Oct 31 14:20:16 2020 read 1512718 cycles
  256. Sat Oct 31 14:20:18 2020 cycles contain 4951778 unique relations
  257. Sat Oct 31 14:20:52 2020 read 4951778 relations
  258. Sat Oct 31 14:21:06 2020 multiplying 4951778 relations
  259. Sat Oct 31 14:23:18 2020 multiply complete, coefficients have about 117.93 million bits
  260. Sat Oct 31 14:23:19 2020 initial square root is modulo 291641677
  261. Sat Oct 31 14:25:51 2020 sqrtTime: 335
  262. Sat Oct 31 14:25:51 2020 p51 factor: 160598552024080156316847606997063330701880737157177
  263. Sat Oct 31 14:25:51 2020 p150 factor: 159980889352617243586096210735398704256416793102367123899113303962091348143370488333104672204045677186402629779413380880413299765787748132035217044367
  264. Sat Oct 31 14:25:51 2020 elapsed time 05:00:29
  265.  
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