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765__127_7m1

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Sep 16th, 2020
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  1. Wed Sep 16 10:07:17 2020
  2. Wed Sep 16 10:07:17 2020
  3. Wed Sep 16 10:07:17 2020 Msieve v. 1.53 (SVN 1005)
  4. Wed Sep 16 10:07:17 2020 random seeds: a6ec0100 99225577
  5. Wed Sep 16 10:07:17 2020 factoring 778967729867287566458130645406573942423281647783480598231106546888029134213789918925608057261427394359756892330264835426990027584894407562716094975124848570324015366269721659759805145086378187441077958141 (204 digits)
  6. Wed Sep 16 10:07:18 2020 searching for 15-digit factors
  7. Wed Sep 16 10:07:18 2020 commencing number field sieve (204-digit input)
  8. Wed Sep 16 10:07:18 2020 R0: 765774481291958134761632923062957127
  9. Wed Sep 16 10:07:18 2020 R1: -1
  10. Wed Sep 16 10:07:18 2020 A0: 1
  11. Wed Sep 16 10:07:18 2020 A1: 1
  12. Wed Sep 16 10:07:18 2020 A2: 1
  13. Wed Sep 16 10:07:18 2020 A3: 1
  14. Wed Sep 16 10:07:18 2020 A4: 1
  15. Wed Sep 16 10:07:18 2020 A5: 1
  16. Wed Sep 16 10:07:18 2020 A6: 1
  17. Wed Sep 16 10:07:18 2020 skew 1.00, size 1.087e-010, alpha 2.428, combined = 3.554e-012 rroots = 0
  18. Wed Sep 16 10:07:18 2020
  19. Wed Sep 16 10:07:18 2020 commencing relation filtering
  20. Wed Sep 16 10:07:18 2020 setting target matrix density to 130.0
  21. Wed Sep 16 10:07:18 2020 estimated available RAM is 16141.3 MB
  22. Wed Sep 16 10:07:18 2020 commencing duplicate removal, pass 1
  23. Wed Sep 16 10:08:10 2020 error -9 reading relation 8134808
  24. Wed Sep 16 10:09:01 2020 error -15 reading relation 16130306
  25. Wed Sep 16 10:09:02 2020 error -9 reading relation 16132855
  26. Wed Sep 16 10:09:05 2020 error -1 reading relation 16644425
  27. Wed Sep 16 10:09:13 2020 error -15 reading relation 17994744
  28. Wed Sep 16 10:11:13 2020 error -9 reading relation 36725744
  29. Wed Sep 16 10:11:21 2020 error -5 reading relation 37956686
  30. Wed Sep 16 10:11:23 2020 error -9 reading relation 38253744
  31. Wed Sep 16 10:11:31 2020 error -5 reading relation 39445644
  32. Wed Sep 16 10:11:35 2020 error -9 reading relation 40099650
  33. Wed Sep 16 10:11:37 2020 error -9 reading relation 40319320
  34. Wed Sep 16 10:11:52 2020 error -9 reading relation 42702548
  35. Wed Sep 16 10:12:02 2020 error -15 reading relation 44274727
  36. Wed Sep 16 10:12:13 2020 error -9 reading relation 46004356
  37. Wed Sep 16 10:12:14 2020 error -5 reading relation 46089010
  38. Wed Sep 16 10:12:14 2020 error -9 reading relation 46119848
  39. Wed Sep 16 10:12:14 2020 error -1 reading relation 46121052
  40. Wed Sep 16 10:12:17 2020 error -9 reading relation 46608530
  41. Wed Sep 16 10:12:17 2020 error -9 reading relation 46630010
  42. Wed Sep 16 10:12:18 2020 error -1 reading relation 46692120
  43. Wed Sep 16 10:12:19 2020 error -9 reading relation 46948828
  44. Wed Sep 16 10:12:24 2020 error -1 reading relation 47662614
  45. Wed Sep 16 10:12:27 2020 error -9 reading relation 48189138
  46. Wed Sep 16 10:12:29 2020 error -9 reading relation 48394372
  47. Wed Sep 16 10:12:34 2020 error -1 reading relation 49247178
  48. Wed Sep 16 10:12:45 2020 error -1 reading relation 50967023
  49. Wed Sep 16 10:12:48 2020 error -9 reading relation 51340577
  50. Wed Sep 16 10:12:48 2020 error -1 reading relation 51350858
  51. Wed Sep 16 10:12:50 2020 error -9 reading relation 51744346
  52. Wed Sep 16 10:12:53 2020 error -9 reading relation 52143205
  53. Wed Sep 16 10:12:55 2020 error -1 reading relation 52410361
  54. Wed Sep 16 10:12:56 2020 error -9 reading relation 52668293
  55. Wed Sep 16 10:12:57 2020 error -9 reading relation 52802691
  56. Wed Sep 16 10:12:58 2020 error -9 reading relation 52946791
  57. Wed Sep 16 10:13:06 2020 error -15 reading relation 54144377
  58. Wed Sep 16 10:13:06 2020 error -9 reading relation 54147078
  59. Wed Sep 16 10:13:07 2020 error -5 reading relation 54263845
  60. Wed Sep 16 10:13:07 2020 error -9 reading relation 54318450
  61. Wed Sep 16 10:13:15 2020 error -15 reading relation 55619859
  62. Wed Sep 16 10:13:21 2020 error -1 reading relation 56468988
  63. Wed Sep 16 10:13:21 2020 error -1 reading relation 56489297
  64. Wed Sep 16 10:13:25 2020 error -15 reading relation 57173587
  65. Wed Sep 16 10:13:25 2020 error -5 reading relation 57184504
  66. Wed Sep 16 10:13:27 2020 error -9 reading relation 57384399
  67. Wed Sep 16 10:13:27 2020 error -9 reading relation 57434995
  68. Wed Sep 16 10:13:27 2020 error -9 reading relation 57506839
  69. Wed Sep 16 10:13:29 2020 error -9 reading relation 57769465
  70. Wed Sep 16 10:13:33 2020 error -15 reading relation 58350881
  71. Wed Sep 16 10:13:34 2020 error -9 reading relation 58560703
  72. Wed Sep 16 10:13:36 2020 error -15 reading relation 58935353
  73. Wed Sep 16 10:13:37 2020 error -15 reading relation 59094790
  74. Wed Sep 16 10:13:43 2020 error -15 reading relation 59977284
  75. Wed Sep 16 10:13:44 2020 error -5 reading relation 60110270
  76. Wed Sep 16 10:13:46 2020 error -1 reading relation 60484189
  77. Wed Sep 16 10:13:53 2020 error -1 reading relation 61581190
  78. Wed Sep 16 10:13:53 2020 error -9 reading relation 61637619
  79. Wed Sep 16 10:14:07 2020 skipped 35 relations with composite factors
  80. Wed Sep 16 10:14:07 2020 found 12341798 hash collisions in 63811202 relations
  81. Wed Sep 16 10:14:13 2020 added 2438532 free relations
  82. Wed Sep 16 10:14:13 2020 commencing duplicate removal, pass 2
  83. Wed Sep 16 10:14:40 2020 found 11795061 duplicates and 54454673 unique relations
  84. Wed Sep 16 10:14:40 2020 memory use: 330.4 MB
  85. Wed Sep 16 10:14:40 2020 reading ideals above 720000
  86. Wed Sep 16 10:14:40 2020 commencing singleton removal, initial pass
  87. Wed Sep 16 10:20:14 2020 memory use: 1378.0 MB
  88. Wed Sep 16 10:20:14 2020 reading all ideals from disk
  89. Wed Sep 16 10:20:14 2020 memory use: 1943.0 MB
  90. Wed Sep 16 10:20:18 2020 keeping 48010822 ideals with weight <= 200, target excess is 282463
  91. Wed Sep 16 10:20:21 2020 commencing in-memory singleton removal
  92. Wed Sep 16 10:20:24 2020 begin with 54454673 relations and 48010822 unique ideals
  93. Wed Sep 16 10:20:56 2020 reduce to 37917462 relations and 29914366 ideals in 14 passes
  94. Wed Sep 16 10:20:56 2020 max relations containing the same ideal: 165
  95. Wed Sep 16 10:21:07 2020 removing 4401567 relations and 3401567 ideals in 1000000 cliques
  96. Wed Sep 16 10:21:08 2020 commencing in-memory singleton removal
  97. Wed Sep 16 10:21:10 2020 begin with 33515895 relations and 29914366 unique ideals
  98. Wed Sep 16 10:21:25 2020 reduce to 32992549 relations and 25972577 ideals in 8 passes
  99. Wed Sep 16 10:21:25 2020 max relations containing the same ideal: 156
  100. Wed Sep 16 10:21:35 2020 removing 3564401 relations and 2564401 ideals in 1000000 cliques
  101. Wed Sep 16 10:21:36 2020 commencing in-memory singleton removal
  102. Wed Sep 16 10:21:37 2020 begin with 29428148 relations and 25972577 unique ideals
  103. Wed Sep 16 10:21:50 2020 reduce to 29111354 relations and 23081531 ideals in 8 passes
  104. Wed Sep 16 10:21:50 2020 max relations containing the same ideal: 143
  105. Wed Sep 16 10:21:59 2020 removing 3235843 relations and 2235843 ideals in 1000000 cliques
  106. Wed Sep 16 10:22:00 2020 commencing in-memory singleton removal
  107. Wed Sep 16 10:22:01 2020 begin with 25875511 relations and 23081531 unique ideals
  108. Wed Sep 16 10:22:11 2020 reduce to 25595983 relations and 20557092 ideals in 7 passes
  109. Wed Sep 16 10:22:11 2020 max relations containing the same ideal: 132
  110. Wed Sep 16 10:22:19 2020 removing 3097578 relations and 2097578 ideals in 1000000 cliques
  111. Wed Sep 16 10:22:20 2020 commencing in-memory singleton removal
  112. Wed Sep 16 10:22:21 2020 begin with 22498405 relations and 20557092 unique ideals
  113. Wed Sep 16 10:22:30 2020 reduce to 22225125 relations and 18176432 ideals in 8 passes
  114. Wed Sep 16 10:22:30 2020 max relations containing the same ideal: 116
  115. Wed Sep 16 10:22:37 2020 removing 3023356 relations and 2023356 ideals in 1000000 cliques
  116. Wed Sep 16 10:22:38 2020 commencing in-memory singleton removal
  117. Wed Sep 16 10:22:39 2020 begin with 19201769 relations and 18176432 unique ideals
  118. Wed Sep 16 10:22:46 2020 reduce to 18915256 relations and 15855169 ideals in 7 passes
  119. Wed Sep 16 10:22:46 2020 max relations containing the same ideal: 103
  120. Wed Sep 16 10:22:52 2020 removing 2981706 relations and 1981706 ideals in 1000000 cliques
  121. Wed Sep 16 10:22:53 2020 commencing in-memory singleton removal
  122. Wed Sep 16 10:22:53 2020 begin with 15933550 relations and 15855169 unique ideals
  123. Wed Sep 16 10:22:59 2020 reduce to 15618698 relations and 13544127 ideals in 7 passes
  124. Wed Sep 16 10:22:59 2020 max relations containing the same ideal: 91
  125. Wed Sep 16 10:23:04 2020 removing 2954438 relations and 1954438 ideals in 1000000 cliques
  126. Wed Sep 16 10:23:05 2020 commencing in-memory singleton removal
  127. Wed Sep 16 10:23:05 2020 begin with 12664260 relations and 13544127 unique ideals
  128. Wed Sep 16 10:23:10 2020 reduce to 12302945 relations and 11208231 ideals in 7 passes
  129. Wed Sep 16 10:23:10 2020 max relations containing the same ideal: 79
  130. Wed Sep 16 10:23:14 2020 removing 2363541 relations and 1596485 ideals in 767056 cliques
  131. Wed Sep 16 10:23:14 2020 commencing in-memory singleton removal
  132. Wed Sep 16 10:23:15 2020 begin with 9939404 relations and 11208231 unique ideals
  133. Wed Sep 16 10:23:19 2020 reduce to 9639138 relations and 9295162 ideals in 8 passes
  134. Wed Sep 16 10:23:19 2020 max relations containing the same ideal: 67
  135. Wed Sep 16 10:23:22 2020 removing 99026 relations and 82708 ideals in 16318 cliques
  136. Wed Sep 16 10:23:22 2020 commencing in-memory singleton removal
  137. Wed Sep 16 10:23:22 2020 begin with 9540112 relations and 9295162 unique ideals
  138. Wed Sep 16 10:23:24 2020 reduce to 9539309 relations and 9211650 ideals in 4 passes
  139. Wed Sep 16 10:23:24 2020 max relations containing the same ideal: 67
  140. Wed Sep 16 10:23:25 2020 relations with 0 large ideals: 20817
  141. Wed Sep 16 10:23:25 2020 relations with 1 large ideals: 6517
  142. Wed Sep 16 10:23:25 2020 relations with 2 large ideals: 55032
  143. Wed Sep 16 10:23:25 2020 relations with 3 large ideals: 336394
  144. Wed Sep 16 10:23:25 2020 relations with 4 large ideals: 1104381
  145. Wed Sep 16 10:23:25 2020 relations with 5 large ideals: 2125433
  146. Wed Sep 16 10:23:25 2020 relations with 6 large ideals: 2528660
  147. Wed Sep 16 10:23:25 2020 relations with 7+ large ideals: 3362075
  148. Wed Sep 16 10:23:25 2020 commencing 2-way merge
  149. Wed Sep 16 10:23:30 2020 reduce to 6373206 relation sets and 6045547 unique ideals
  150. Wed Sep 16 10:23:30 2020 commencing full merge
  151. Wed Sep 16 10:27:16 2020 memory use: 282.0 MB
  152. Wed Sep 16 10:27:16 2020 found 28114 cycles, need 1415663
  153. Wed Sep 16 10:27:16 2020 too few cycles, matrix probably cannot build
  154. Wed Sep 16 11:27:55 2020
  155. Wed Sep 16 11:27:55 2020
  156. Wed Sep 16 11:27:55 2020 Msieve v. 1.53 (SVN 1005)
  157. Wed Sep 16 11:27:55 2020 random seeds: 5ac292cc f7ed6089
  158. Wed Sep 16 11:27:55 2020 factoring 778967729867287566458130645406573942423281647783480598231106546888029134213789918925608057261427394359756892330264835426990027584894407562716094975124848570324015366269721659759805145086378187441077958141 (204 digits)
  159. Wed Sep 16 11:27:55 2020 searching for 15-digit factors
  160. Wed Sep 16 11:27:56 2020 commencing number field sieve (204-digit input)
  161. Wed Sep 16 11:27:56 2020 R0: 765774481291958134761632923062957127
  162. Wed Sep 16 11:27:56 2020 R1: -1
  163. Wed Sep 16 11:27:56 2020 A0: 1
  164. Wed Sep 16 11:27:56 2020 A1: 1
  165. Wed Sep 16 11:27:56 2020 A2: 1
  166. Wed Sep 16 11:27:56 2020 A3: 1
  167. Wed Sep 16 11:27:56 2020 A4: 1
  168. Wed Sep 16 11:27:56 2020 A5: 1
  169. Wed Sep 16 11:27:56 2020 A6: 1
  170. Wed Sep 16 11:27:56 2020 skew 1.00, size 1.087e-010, alpha 2.428, combined = 3.554e-012 rroots = 0
  171. Wed Sep 16 11:27:56 2020
  172. Wed Sep 16 11:27:56 2020 commencing relation filtering
  173. Wed Sep 16 11:27:56 2020 setting target matrix density to 120.0
  174. Wed Sep 16 11:27:56 2020 estimated available RAM is 16141.3 MB
  175. Wed Sep 16 11:27:56 2020 commencing duplicate removal, pass 1
  176. <56 errors>
  177. Wed Sep 16 11:35:14 2020 skipped 35 relations with composite factors
  178. Wed Sep 16 11:35:14 2020 found 12519242 hash collisions in 66249734 relations
  179. Wed Sep 16 11:35:14 2020 commencing duplicate removal, pass 2
  180. Wed Sep 16 11:35:41 2020 found 11795061 duplicates and 54454673 unique relations
  181. Wed Sep 16 11:35:41 2020 memory use: 330.4 MB
  182. Wed Sep 16 11:35:41 2020 reading ideals above 720000
  183. Wed Sep 16 11:35:41 2020 commencing singleton removal, initial pass
  184. Wed Sep 16 11:41:17 2020 memory use: 1378.0 MB
  185. Wed Sep 16 11:41:17 2020 reading all ideals from disk
  186. Wed Sep 16 11:41:18 2020 memory use: 1943.0 MB
  187. Wed Sep 16 11:41:21 2020 keeping 48010822 ideals with weight <= 200, target excess is 282463
  188. Wed Sep 16 11:41:25 2020 commencing in-memory singleton removal
  189. Wed Sep 16 11:41:28 2020 begin with 54454673 relations and 48010822 unique ideals
  190. Wed Sep 16 11:41:59 2020 reduce to 37917462 relations and 29914366 ideals in 14 passes
  191. Wed Sep 16 11:41:59 2020 max relations containing the same ideal: 165
  192. Wed Sep 16 11:42:10 2020 removing 4401567 relations and 3401567 ideals in 1000000 cliques
  193. Wed Sep 16 11:42:11 2020 commencing in-memory singleton removal
  194. Wed Sep 16 11:42:13 2020 begin with 33515895 relations and 29914366 unique ideals
  195. Wed Sep 16 11:42:28 2020 reduce to 32992549 relations and 25972577 ideals in 8 passes
  196. Wed Sep 16 11:42:28 2020 max relations containing the same ideal: 156
  197. Wed Sep 16 11:42:38 2020 removing 3564401 relations and 2564401 ideals in 1000000 cliques
  198. Wed Sep 16 11:42:39 2020 commencing in-memory singleton removal
  199. Wed Sep 16 11:42:40 2020 begin with 29428148 relations and 25972577 unique ideals
  200. Wed Sep 16 11:42:53 2020 reduce to 29111354 relations and 23081531 ideals in 8 passes
  201. Wed Sep 16 11:42:53 2020 max relations containing the same ideal: 143
  202. Wed Sep 16 11:43:02 2020 removing 3235843 relations and 2235843 ideals in 1000000 cliques
  203. Wed Sep 16 11:43:03 2020 commencing in-memory singleton removal
  204. Wed Sep 16 11:43:04 2020 begin with 25875511 relations and 23081531 unique ideals
  205. Wed Sep 16 11:43:14 2020 reduce to 25595983 relations and 20557092 ideals in 7 passes
  206. Wed Sep 16 11:43:14 2020 max relations containing the same ideal: 132
  207. Wed Sep 16 11:43:22 2020 removing 3097578 relations and 2097578 ideals in 1000000 cliques
  208. Wed Sep 16 11:43:22 2020 commencing in-memory singleton removal
  209. Wed Sep 16 11:43:24 2020 begin with 22498405 relations and 20557092 unique ideals
  210. Wed Sep 16 11:43:33 2020 reduce to 22225125 relations and 18176432 ideals in 8 passes
  211. Wed Sep 16 11:43:33 2020 max relations containing the same ideal: 116
  212. Wed Sep 16 11:43:40 2020 removing 3023356 relations and 2023356 ideals in 1000000 cliques
  213. Wed Sep 16 11:43:41 2020 commencing in-memory singleton removal
  214. Wed Sep 16 11:43:42 2020 begin with 19201769 relations and 18176432 unique ideals
  215. Wed Sep 16 11:43:49 2020 reduce to 18915256 relations and 15855169 ideals in 7 passes
  216. Wed Sep 16 11:43:49 2020 max relations containing the same ideal: 103
  217. Wed Sep 16 11:43:55 2020 removing 2981706 relations and 1981706 ideals in 1000000 cliques
  218. Wed Sep 16 11:43:56 2020 commencing in-memory singleton removal
  219. Wed Sep 16 11:43:56 2020 begin with 15933550 relations and 15855169 unique ideals
  220. Wed Sep 16 11:44:02 2020 reduce to 15618698 relations and 13544127 ideals in 7 passes
  221. Wed Sep 16 11:44:02 2020 max relations containing the same ideal: 91
  222. Wed Sep 16 11:44:07 2020 removing 2954438 relations and 1954438 ideals in 1000000 cliques
  223. Wed Sep 16 11:44:08 2020 commencing in-memory singleton removal
  224. Wed Sep 16 11:44:08 2020 begin with 12664260 relations and 13544127 unique ideals
  225. Wed Sep 16 11:44:13 2020 reduce to 12302945 relations and 11208231 ideals in 7 passes
  226. Wed Sep 16 11:44:13 2020 max relations containing the same ideal: 79
  227. Wed Sep 16 11:44:17 2020 removing 2363541 relations and 1596485 ideals in 767056 cliques
  228. Wed Sep 16 11:44:17 2020 commencing in-memory singleton removal
  229. Wed Sep 16 11:44:18 2020 begin with 9939404 relations and 11208231 unique ideals
  230. Wed Sep 16 11:44:22 2020 reduce to 9639138 relations and 9295162 ideals in 8 passes
  231. Wed Sep 16 11:44:22 2020 max relations containing the same ideal: 67
  232. Wed Sep 16 11:44:25 2020 removing 99026 relations and 82708 ideals in 16318 cliques
  233. Wed Sep 16 11:44:25 2020 commencing in-memory singleton removal
  234. Wed Sep 16 11:44:25 2020 begin with 9540112 relations and 9295162 unique ideals
  235. Wed Sep 16 11:44:27 2020 reduce to 9539309 relations and 9211650 ideals in 4 passes
  236. Wed Sep 16 11:44:27 2020 max relations containing the same ideal: 67
  237. Wed Sep 16 11:44:28 2020 relations with 0 large ideals: 20817
  238. Wed Sep 16 11:44:28 2020 relations with 1 large ideals: 6517
  239. Wed Sep 16 11:44:28 2020 relations with 2 large ideals: 55032
  240. Wed Sep 16 11:44:29 2020 relations with 3 large ideals: 336394
  241. Wed Sep 16 11:44:29 2020 relations with 4 large ideals: 1104381
  242. Wed Sep 16 11:44:29 2020 relations with 5 large ideals: 2125433
  243. Wed Sep 16 11:44:29 2020 relations with 6 large ideals: 2528660
  244. Wed Sep 16 11:44:29 2020 relations with 7+ large ideals: 3362075
  245. Wed Sep 16 11:44:29 2020 commencing 2-way merge
  246. Wed Sep 16 11:44:33 2020 reduce to 6373206 relation sets and 6045547 unique ideals
  247. Wed Sep 16 11:44:33 2020 commencing full merge
  248. Wed Sep 16 11:48:20 2020 memory use: 282.0 MB
  249. Wed Sep 16 11:48:20 2020 found 28114 cycles, need 1415663
  250. Wed Sep 16 11:48:20 2020 too few cycles, matrix probably cannot build
  251. Wed Sep 16 11:59:06 2020
  252. Wed Sep 16 11:59:06 2020
  253. Wed Sep 16 11:59:06 2020 Msieve v. 1.53 (SVN 1005)
  254. Wed Sep 16 11:59:06 2020 random seeds: 5e19a580 ddd58ae1
  255. Wed Sep 16 11:59:06 2020 factoring 778967729867287566458130645406573942423281647783480598231106546888029134213789918925608057261427394359756892330264835426990027584894407562716094975124848570324015366269721659759805145086378187441077958141 (204 digits)
  256. Wed Sep 16 11:59:07 2020 searching for 15-digit factors
  257. Wed Sep 16 11:59:07 2020 commencing number field sieve (204-digit input)
  258. Wed Sep 16 11:59:07 2020 R0: 765774481291958134761632923062957127
  259. Wed Sep 16 11:59:07 2020 R1: -1
  260. Wed Sep 16 11:59:07 2020 A0: 1
  261. Wed Sep 16 11:59:07 2020 A1: 1
  262. Wed Sep 16 11:59:07 2020 A2: 1
  263. Wed Sep 16 11:59:07 2020 A3: 1
  264. Wed Sep 16 11:59:07 2020 A4: 1
  265. Wed Sep 16 11:59:07 2020 A5: 1
  266. Wed Sep 16 11:59:07 2020 A6: 1
  267. Wed Sep 16 11:59:07 2020 skew 1.00, size 1.087e-010, alpha 2.428, combined = 3.554e-012 rroots = 0
  268. Wed Sep 16 11:59:07 2020
  269. Wed Sep 16 11:59:07 2020 commencing relation filtering
  270. Wed Sep 16 11:59:07 2020 setting target matrix density to 110.0
  271. Wed Sep 16 11:59:07 2020 estimated available RAM is 16141.3 MB
  272. Wed Sep 16 11:59:07 2020 commencing duplicate removal, pass 1
  273. <56 errors>
  274. Wed Sep 16 12:06:24 2020 skipped 35 relations with composite factors
  275. Wed Sep 16 12:06:24 2020 found 12519242 hash collisions in 66249734 relations
  276. Wed Sep 16 12:06:24 2020 commencing duplicate removal, pass 2
  277. Wed Sep 16 12:06:51 2020 found 11795061 duplicates and 54454673 unique relations
  278. Wed Sep 16 12:06:51 2020 memory use: 330.4 MB
  279. Wed Sep 16 12:06:51 2020 reading ideals above 720000
  280. Wed Sep 16 12:06:51 2020 commencing singleton removal, initial pass
  281. Wed Sep 16 12:12:28 2020 memory use: 1378.0 MB
  282. Wed Sep 16 12:12:28 2020 reading all ideals from disk
  283. Wed Sep 16 12:12:28 2020 memory use: 1943.0 MB
  284. Wed Sep 16 12:12:32 2020 keeping 48010822 ideals with weight <= 200, target excess is 282463
  285. Wed Sep 16 12:12:35 2020 commencing in-memory singleton removal
  286. Wed Sep 16 12:12:38 2020 begin with 54454673 relations and 48010822 unique ideals
  287. Wed Sep 16 12:13:09 2020 reduce to 37917462 relations and 29914366 ideals in 14 passes
  288. Wed Sep 16 12:13:09 2020 max relations containing the same ideal: 165
  289. Wed Sep 16 12:13:21 2020 removing 4401567 relations and 3401567 ideals in 1000000 cliques
  290. Wed Sep 16 12:13:22 2020 commencing in-memory singleton removal
  291. Wed Sep 16 12:13:23 2020 begin with 33515895 relations and 29914366 unique ideals
  292. Wed Sep 16 12:13:38 2020 reduce to 32992549 relations and 25972577 ideals in 8 passes
  293. Wed Sep 16 12:13:38 2020 max relations containing the same ideal: 156
  294. Wed Sep 16 12:13:48 2020 removing 3564401 relations and 2564401 ideals in 1000000 cliques
  295. Wed Sep 16 12:13:49 2020 commencing in-memory singleton removal
  296. Wed Sep 16 12:13:50 2020 begin with 29428148 relations and 25972577 unique ideals
  297. Wed Sep 16 12:14:03 2020 reduce to 29111354 relations and 23081531 ideals in 8 passes
  298. Wed Sep 16 12:14:03 2020 max relations containing the same ideal: 143
  299. Wed Sep 16 12:14:12 2020 removing 3235843 relations and 2235843 ideals in 1000000 cliques
  300. Wed Sep 16 12:14:13 2020 commencing in-memory singleton removal
  301. Wed Sep 16 12:14:14 2020 begin with 25875511 relations and 23081531 unique ideals
  302. Wed Sep 16 12:14:24 2020 reduce to 25595983 relations and 20557092 ideals in 7 passes
  303. Wed Sep 16 12:14:24 2020 max relations containing the same ideal: 132
  304. Wed Sep 16 12:14:32 2020 removing 3097578 relations and 2097578 ideals in 1000000 cliques
  305. Wed Sep 16 12:14:32 2020 commencing in-memory singleton removal
  306. Wed Sep 16 12:14:33 2020 begin with 22498405 relations and 20557092 unique ideals
  307. Wed Sep 16 12:14:43 2020 reduce to 22225125 relations and 18176432 ideals in 8 passes
  308. Wed Sep 16 12:14:43 2020 max relations containing the same ideal: 116
  309. Wed Sep 16 12:14:50 2020 removing 3023356 relations and 2023356 ideals in 1000000 cliques
  310. Wed Sep 16 12:14:51 2020 commencing in-memory singleton removal
  311. Wed Sep 16 12:14:52 2020 begin with 19201769 relations and 18176432 unique ideals
  312. Wed Sep 16 12:14:58 2020 reduce to 18915256 relations and 15855169 ideals in 7 passes
  313. Wed Sep 16 12:14:58 2020 max relations containing the same ideal: 103
  314. Wed Sep 16 12:15:04 2020 removing 2981706 relations and 1981706 ideals in 1000000 cliques
  315. Wed Sep 16 12:15:05 2020 commencing in-memory singleton removal
  316. Wed Sep 16 12:15:06 2020 begin with 15933550 relations and 15855169 unique ideals
  317. Wed Sep 16 12:15:12 2020 reduce to 15618698 relations and 13544127 ideals in 7 passes
  318. Wed Sep 16 12:15:12 2020 max relations containing the same ideal: 91
  319. Wed Sep 16 12:15:17 2020 removing 2954438 relations and 1954438 ideals in 1000000 cliques
  320. Wed Sep 16 12:15:17 2020 commencing in-memory singleton removal
  321. Wed Sep 16 12:15:18 2020 begin with 12664260 relations and 13544127 unique ideals
  322. Wed Sep 16 12:15:22 2020 reduce to 12302945 relations and 11208231 ideals in 7 passes
  323. Wed Sep 16 12:15:22 2020 max relations containing the same ideal: 79
  324. Wed Sep 16 12:15:27 2020 removing 2363541 relations and 1596485 ideals in 767056 cliques
  325. Wed Sep 16 12:15:27 2020 commencing in-memory singleton removal
  326. Wed Sep 16 12:15:28 2020 begin with 9939404 relations and 11208231 unique ideals
  327. Wed Sep 16 12:15:32 2020 reduce to 9639138 relations and 9295162 ideals in 8 passes
  328. Wed Sep 16 12:15:32 2020 max relations containing the same ideal: 67
  329. Wed Sep 16 12:15:35 2020 removing 99026 relations and 82708 ideals in 16318 cliques
  330. Wed Sep 16 12:15:35 2020 commencing in-memory singleton removal
  331. Wed Sep 16 12:15:35 2020 begin with 9540112 relations and 9295162 unique ideals
  332. Wed Sep 16 12:15:37 2020 reduce to 9539309 relations and 9211650 ideals in 4 passes
  333. Wed Sep 16 12:15:37 2020 max relations containing the same ideal: 67
  334. Wed Sep 16 12:15:38 2020 relations with 0 large ideals: 20817
  335. Wed Sep 16 12:15:38 2020 relations with 1 large ideals: 6517
  336. Wed Sep 16 12:15:38 2020 relations with 2 large ideals: 55032
  337. Wed Sep 16 12:15:38 2020 relations with 3 large ideals: 336394
  338. Wed Sep 16 12:15:38 2020 relations with 4 large ideals: 1104381
  339. Wed Sep 16 12:15:38 2020 relations with 5 large ideals: 2125433
  340. Wed Sep 16 12:15:38 2020 relations with 6 large ideals: 2528660
  341. Wed Sep 16 12:15:38 2020 relations with 7+ large ideals: 3362075
  342. Wed Sep 16 12:15:38 2020 commencing 2-way merge
  343. Wed Sep 16 12:15:43 2020 reduce to 6373206 relation sets and 6045547 unique ideals
  344. Wed Sep 16 12:15:43 2020 commencing full merge
  345. Wed Sep 16 12:17:38 2020 memory use: 853.1 MB
  346. Wed Sep 16 12:17:38 2020 found 2927664 cycles, need 2909747
  347. Wed Sep 16 12:17:39 2020 weight of 2909747 cycles is about 320482503 (110.14/cycle)
  348. Wed Sep 16 12:17:39 2020 distribution of cycle lengths:
  349. Wed Sep 16 12:17:39 2020 1 relations: 128676
  350. Wed Sep 16 12:17:39 2020 2 relations: 170684
  351. Wed Sep 16 12:17:39 2020 3 relations: 202611
  352. Wed Sep 16 12:17:39 2020 4 relations: 214163
  353. Wed Sep 16 12:17:39 2020 5 relations: 221866
  354. Wed Sep 16 12:17:39 2020 6 relations: 220633
  355. Wed Sep 16 12:17:39 2020 7 relations: 216369
  356. Wed Sep 16 12:17:39 2020 8 relations: 205569
  357. Wed Sep 16 12:17:39 2020 9 relations: 191219
  358. Wed Sep 16 12:17:39 2020 10+ relations: 1137957
  359. Wed Sep 16 12:17:39 2020 heaviest cycle: 28 relations
  360. Wed Sep 16 12:17:40 2020 commencing cycle optimization
  361. Wed Sep 16 12:17:43 2020 start with 25598661 relations
  362. Wed Sep 16 12:18:32 2020 pruned 1243467 relations
  363. Wed Sep 16 12:18:32 2020 memory use: 658.9 MB
  364. Wed Sep 16 12:18:32 2020 distribution of cycle lengths:
  365. Wed Sep 16 12:18:32 2020 1 relations: 128676
  366. Wed Sep 16 12:18:32 2020 2 relations: 174523
  367. Wed Sep 16 12:18:32 2020 3 relations: 210759
  368. Wed Sep 16 12:18:32 2020 4 relations: 223510
  369. Wed Sep 16 12:18:32 2020 5 relations: 233674
  370. Wed Sep 16 12:18:32 2020 6 relations: 232522
  371. Wed Sep 16 12:18:32 2020 7 relations: 229089
  372. Wed Sep 16 12:18:32 2020 8 relations: 216613
  373. Wed Sep 16 12:18:32 2020 9 relations: 200897
  374. Wed Sep 16 12:18:32 2020 10+ relations: 1059484
  375. Wed Sep 16 12:18:32 2020 heaviest cycle: 28 relations
  376. Wed Sep 16 12:18:35 2020 RelProcTime: 1168
  377. Wed Sep 16 12:18:35 2020 elapsed time 00:19:29
  378. Wed Sep 16 12:52:04 2020
  379. Wed Sep 16 12:52:04 2020
  380. Wed Sep 16 12:52:04 2020 Msieve v. 1.53 (SVN 1005)
  381. Wed Sep 16 12:52:04 2020 random seeds: e2c5ba50 090969f3
  382. Wed Sep 16 12:52:04 2020 factoring 778967729867287566458130645406573942423281647783480598231106546888029134213789918925608057261427394359756892330264835426990027584894407562716094975124848570324015366269721659759805145086378187441077958141 (204 digits)
  383. Wed Sep 16 12:52:05 2020 searching for 15-digit factors
  384. Wed Sep 16 12:52:06 2020 commencing number field sieve (204-digit input)
  385. Wed Sep 16 12:52:06 2020 R0: 765774481291958134761632923062957127
  386. Wed Sep 16 12:52:06 2020 R1: -1
  387. Wed Sep 16 12:52:06 2020 A0: 1
  388. Wed Sep 16 12:52:06 2020 A1: 1
  389. Wed Sep 16 12:52:06 2020 A2: 1
  390. Wed Sep 16 12:52:06 2020 A3: 1
  391. Wed Sep 16 12:52:06 2020 A4: 1
  392. Wed Sep 16 12:52:06 2020 A5: 1
  393. Wed Sep 16 12:52:06 2020 A6: 1
  394. Wed Sep 16 12:52:06 2020 skew 1.00, size 1.087e-010, alpha 2.428, combined = 3.554e-012 rroots = 0
  395. Wed Sep 16 12:52:06 2020
  396. Wed Sep 16 12:52:06 2020 commencing linear algebra
  397. Wed Sep 16 12:52:06 2020 read 2909747 cycles
  398. Wed Sep 16 12:52:11 2020 cycles contain 9373759 unique relations
  399. Wed Sep 16 12:52:58 2020 read 9373759 relations
  400. Wed Sep 16 12:53:10 2020 using 20 quadratic characters above 4294917295
  401. Wed Sep 16 12:53:48 2020 building initial matrix
  402. Wed Sep 16 12:55:13 2020 memory use: 1166.5 MB
  403. Wed Sep 16 12:55:15 2020 read 2909747 cycles
  404. Wed Sep 16 12:55:16 2020 matrix is 2909570 x 2909747 (1261.5 MB) with weight 360455622 (123.88/col)
  405. Wed Sep 16 12:55:16 2020 sparse part has weight 298675084 (102.65/col)
  406. Wed Sep 16 12:55:36 2020 filtering completed in 2 passes
  407. Wed Sep 16 12:55:36 2020 matrix is 2909469 x 2909646 (1261.4 MB) with weight 360451879 (123.88/col)
  408. Wed Sep 16 12:55:36 2020 sparse part has weight 298673453 (102.65/col)
  409. Wed Sep 16 12:55:42 2020 matrix starts at (0, 0)
  410. Wed Sep 16 12:55:42 2020 matrix is 2909469 x 2909646 (1261.4 MB) with weight 360451879 (123.88/col)
  411. Wed Sep 16 12:55:42 2020 sparse part has weight 298673453 (102.65/col)
  412. Wed Sep 16 12:55:42 2020 saving the first 48 matrix rows for later
  413. Wed Sep 16 12:55:43 2020 matrix includes 64 packed rows
  414. Wed Sep 16 12:55:43 2020 matrix is 2909421 x 2909646 (1204.1 MB) with weight 307823629 (105.79/col)
  415. Wed Sep 16 12:55:43 2020 sparse part has weight 286547372 (98.48/col)
  416. Wed Sep 16 12:55:43 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB
  417. Wed Sep 16 12:55:55 2020 commencing Lanczos iteration (12 threads)
  418. Wed Sep 16 12:55:55 2020 memory use: 1006.0 MB
  419. Wed Sep 16 12:56:00 2020 linear algebra at 0.1%, ETA 2h39m
  420. Wed Sep 16 12:56:01 2020 checkpointing every 1220000 dimensions
  421. Wed Sep 16 16:48:24 2020 lanczos halted after 46007 iterations (dim = 2909419)
  422. Wed Sep 16 16:48:27 2020 recovered 37 nontrivial dependencies
  423. Wed Sep 16 16:48:27 2020 BLanczosTime: 14181
  424. Wed Sep 16 16:48:27 2020 elapsed time 03:56:23
  425. Wed Sep 16 17:41:11 2020
  426. Wed Sep 16 17:41:11 2020
  427. Wed Sep 16 17:41:11 2020 Msieve v. 1.53 (SVN 1005)
  428. Wed Sep 16 17:41:11 2020 random seeds: 281e4f58 db50a771
  429. Wed Sep 16 17:41:11 2020 factoring 778967729867287566458130645406573942423281647783480598231106546888029134213789918925608057261427394359756892330264835426990027584894407562716094975124848570324015366269721659759805145086378187441077958141 (204 digits)
  430. Wed Sep 16 17:41:12 2020 searching for 15-digit factors
  431. Wed Sep 16 17:41:12 2020 commencing number field sieve (204-digit input)
  432. Wed Sep 16 17:41:12 2020 R0: 765774481291958134761632923062957127
  433. Wed Sep 16 17:41:12 2020 R1: -1
  434. Wed Sep 16 17:41:12 2020 A0: 1
  435. Wed Sep 16 17:41:12 2020 A1: 1
  436. Wed Sep 16 17:41:12 2020 A2: 1
  437. Wed Sep 16 17:41:12 2020 A3: 1
  438. Wed Sep 16 17:41:12 2020 A4: 1
  439. Wed Sep 16 17:41:12 2020 A5: 1
  440. Wed Sep 16 17:41:12 2020 A6: 1
  441. Wed Sep 16 17:41:12 2020 skew 1.00, size 1.087e-010, alpha 2.428, combined = 3.554e-012 rroots = 0
  442. Wed Sep 16 17:41:12 2020
  443. Wed Sep 16 17:41:12 2020 commencing square root phase
  444. Wed Sep 16 17:41:12 2020 reading relations for dependency 1
  445. Wed Sep 16 17:41:13 2020 read 1455332 cycles
  446. Wed Sep 16 17:41:15 2020 cycles contain 4690760 unique relations
  447. Wed Sep 16 17:41:42 2020 read 4690760 relations
  448. Wed Sep 16 17:41:57 2020 multiplying 4690760 relations
  449. Wed Sep 16 17:43:53 2020 multiply complete, coefficients have about 111.30 million bits
  450. Wed Sep 16 17:43:53 2020 initial square root is modulo 97511951
  451. Wed Sep 16 17:46:03 2020 GCD is N, no factor found
  452. Wed Sep 16 17:46:03 2020 reading relations for dependency 2
  453. Wed Sep 16 17:46:03 2020 read 1454732 cycles
  454. Wed Sep 16 17:46:05 2020 cycles contain 4686648 unique relations
  455. Wed Sep 16 17:46:33 2020 read 4686648 relations
  456. Wed Sep 16 17:46:48 2020 multiplying 4686648 relations
  457. Wed Sep 16 17:48:43 2020 multiply complete, coefficients have about 111.21 million bits
  458. Wed Sep 16 17:48:43 2020 initial square root is modulo 95967709
  459. Wed Sep 16 17:50:53 2020 GCD is N, no factor found
  460. Wed Sep 16 17:50:53 2020 reading relations for dependency 3
  461. Wed Sep 16 17:50:53 2020 read 1455607 cycles
  462. Wed Sep 16 17:50:55 2020 cycles contain 4689742 unique relations
  463. Wed Sep 16 17:51:23 2020 read 4689742 relations
  464. Wed Sep 16 17:51:38 2020 multiplying 4689742 relations
  465. Wed Sep 16 17:53:34 2020 multiply complete, coefficients have about 111.27 million bits
  466. Wed Sep 16 17:53:35 2020 initial square root is modulo 97057819
  467. Wed Sep 16 17:55:43 2020 sqrtTime: 871
  468. Wed Sep 16 17:55:43 2020 p69 factor: 247266618809857364769432394200200277984439717886775222264610206604661
  469. Wed Sep 16 17:55:43 2020 p136 factor: 3150314966155204135861046241845421839122509820345521672556316196599400811937627623872441558992090961326825367554435501491014855769144681
  470. Wed Sep 16 17:55:43 2020 elapsed time 00:14:32
  471.  
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