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7503751_31m1

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Jul 25th, 2020
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  1. Sat Jul 25 09:46:42 2020
  2. Sat Jul 25 09:46:42 2020
  3. Sat Jul 25 09:46:42 2020 Msieve v. 1.53 (SVN 1005)
  4. Sat Jul 25 09:46:42 2020 random seeds: 307fae5c 4904e822
  5. Sat Jul 25 09:46:42 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  6. Sat Jul 25 09:46:42 2020 searching for 15-digit factors
  7. Sat Jul 25 09:46:43 2020 commencing number field sieve (179-digit input)
  8. Sat Jul 25 09:46:43 2020 R0: 178513261775594993287956037972113537210001
  9. Sat Jul 25 09:46:43 2020 R1: -1
  10. Sat Jul 25 09:46:43 2020 A0: -1
  11. Sat Jul 25 09:46:43 2020 A1: 0
  12. Sat Jul 25 09:46:43 2020 A2: 0
  13. Sat Jul 25 09:46:43 2020 A3: 0
  14. Sat Jul 25 09:46:43 2020 A4: 0
  15. Sat Jul 25 09:46:43 2020 A5: 7503751
  16. Sat Jul 25 09:46:43 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  17. Sat Jul 25 09:46:43 2020
  18. Sat Jul 25 09:46:43 2020 commencing relation filtering
  19. Sat Jul 25 09:46:43 2020 setting target matrix density to 130.0
  20. Sat Jul 25 09:46:43 2020 estimated available RAM is 16141.3 MB
  21. Sat Jul 25 09:46:43 2020 commencing duplicate removal, pass 1
  22. <1275 errors omitted>
  23. Sat Jul 25 09:53:34 2020 skipped 680 relations with b > 2^32
  24. Sat Jul 25 09:53:34 2020 skipped 38 relations with composite factors
  25. Sat Jul 25 09:53:34 2020 found 10763278 hash collisions in 61041366 relations
  26. Sat Jul 25 09:53:57 2020 added 732697 free relations
  27. Sat Jul 25 09:53:57 2020 commencing duplicate removal, pass 2
  28. Sat Jul 25 09:54:23 2020 found 9918803 duplicates and 51855260 unique relations
  29. Sat Jul 25 09:54:23 2020 memory use: 330.4 MB
  30. Sat Jul 25 09:54:23 2020 reading ideals above 720000
  31. Sat Jul 25 09:54:23 2020 commencing singleton removal, initial pass
  32. Sat Jul 25 09:59:45 2020 memory use: 1378.0 MB
  33. Sat Jul 25 09:59:45 2020 reading all ideals from disk
  34. Sat Jul 25 09:59:45 2020 memory use: 1885.8 MB
  35. Sat Jul 25 09:59:49 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
  36. Sat Jul 25 09:59:53 2020 commencing in-memory singleton removal
  37. Sat Jul 25 09:59:57 2020 begin with 51855260 relations and 48294177 unique ideals
  38. Sat Jul 25 10:00:31 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
  39. Sat Jul 25 10:00:31 2020 max relations containing the same ideal: 166
  40. Sat Jul 25 10:00:45 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
  41. Sat Jul 25 10:00:46 2020 commencing in-memory singleton removal
  42. Sat Jul 25 10:00:48 2020 begin with 30189095 relations and 29722512 unique ideals
  43. Sat Jul 25 10:01:08 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
  44. Sat Jul 25 10:01:08 2020 max relations containing the same ideal: 147
  45. Sat Jul 25 10:01:19 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
  46. Sat Jul 25 10:01:20 2020 commencing in-memory singleton removal
  47. Sat Jul 25 10:01:22 2020 begin with 25835120 relations and 25423239 unique ideals
  48. Sat Jul 25 10:01:36 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
  49. Sat Jul 25 10:01:36 2020 max relations containing the same ideal: 131
  50. Sat Jul 25 10:01:46 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
  51. Sat Jul 25 10:01:47 2020 commencing in-memory singleton removal
  52. Sat Jul 25 10:01:49 2020 begin with 21887297 relations and 22216498 unique ideals
  53. Sat Jul 25 10:02:02 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
  54. Sat Jul 25 10:02:02 2020 max relations containing the same ideal: 115
  55. Sat Jul 25 10:02:11 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
  56. Sat Jul 25 10:02:12 2020 commencing in-memory singleton removal
  57. Sat Jul 25 10:02:13 2020 begin with 18037671 relations and 19260423 unique ideals
  58. Sat Jul 25 10:02:21 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
  59. Sat Jul 25 10:02:21 2020 max relations containing the same ideal: 101
  60. Sat Jul 25 10:02:29 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
  61. Sat Jul 25 10:02:29 2020 commencing in-memory singleton removal
  62. Sat Jul 25 10:02:30 2020 begin with 14390136 relations and 16353597 unique ideals
  63. Sat Jul 25 10:02:38 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
  64. Sat Jul 25 10:02:38 2020 max relations containing the same ideal: 85
  65. Sat Jul 25 10:02:44 2020 removing 166974 relations and 144280 ideals in 22694 cliques
  66. Sat Jul 25 10:02:44 2020 commencing in-memory singleton removal
  67. Sat Jul 25 10:02:45 2020 begin with 13752103 relations and 13584179 unique ideals
  68. Sat Jul 25 10:02:50 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
  69. Sat Jul 25 10:02:50 2020 max relations containing the same ideal: 85
  70. Sat Jul 25 10:02:52 2020 relations with 0 large ideals: 5549
  71. Sat Jul 25 10:02:52 2020 relations with 1 large ideals: 2364
  72. Sat Jul 25 10:02:52 2020 relations with 2 large ideals: 36897
  73. Sat Jul 25 10:02:52 2020 relations with 3 large ideals: 271436
  74. Sat Jul 25 10:02:52 2020 relations with 4 large ideals: 1073043
  75. Sat Jul 25 10:02:52 2020 relations with 5 large ideals: 2525862
  76. Sat Jul 25 10:02:52 2020 relations with 6 large ideals: 3819879
  77. Sat Jul 25 10:02:52 2020 relations with 7+ large ideals: 6015756
  78. Sat Jul 25 10:02:52 2020 commencing 2-way merge
  79. Sat Jul 25 10:02:59 2020 reduce to 8897499 relation sets and 8585294 unique ideals
  80. Sat Jul 25 10:02:59 2020 commencing full merge
  81. Sat Jul 25 10:08:35 2020 memory use: 398.0 MB
  82. Sat Jul 25 10:08:36 2020 found 15372 cycles, need 1915882
  83. Sat Jul 25 10:08:36 2020 too few cycles, matrix probably cannot build
  84. Sat Jul 25 10:14:30 2020
  85. Sat Jul 25 10:14:30 2020
  86. Sat Jul 25 10:14:30 2020 Msieve v. 1.53 (SVN 1005)
  87. Sat Jul 25 10:14:30 2020 random seeds: f12b1bb4 3a9f69c6
  88. Sat Jul 25 10:14:30 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  89. Sat Jul 25 10:14:31 2020 searching for 15-digit factors
  90. Sat Jul 25 10:14:31 2020 commencing number field sieve (179-digit input)
  91. Sat Jul 25 10:14:31 2020 R0: 178513261775594993287956037972113537210001
  92. Sat Jul 25 10:14:31 2020 R1: -1
  93. Sat Jul 25 10:14:31 2020 A0: -1
  94. Sat Jul 25 10:14:31 2020 A1: 0
  95. Sat Jul 25 10:14:31 2020 A2: 0
  96. Sat Jul 25 10:14:31 2020 A3: 0
  97. Sat Jul 25 10:14:31 2020 A4: 0
  98. Sat Jul 25 10:14:31 2020 A5: 7503751
  99. Sat Jul 25 10:14:31 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  100. Sat Jul 25 10:14:31 2020
  101. Sat Jul 25 10:14:31 2020 commencing relation filtering
  102. Sat Jul 25 10:14:31 2020 setting target matrix density to 120.0
  103. Sat Jul 25 10:14:31 2020 estimated available RAM is 16141.3 MB
  104. Sat Jul 25 10:14:31 2020 commencing duplicate removal, pass 1
  105. <1275 errors>
  106. Sat Jul 25 10:21:24 2020 skipped 680 relations with b > 2^32
  107. Sat Jul 25 10:21:24 2020 skipped 38 relations with composite factors
  108. Sat Jul 25 10:21:24 2020 found 10817119 hash collisions in 61774063 relations
  109. Sat Jul 25 10:21:46 2020 commencing duplicate removal, pass 2
  110. Sat Jul 25 10:22:11 2020 found 9918803 duplicates and 51855260 unique relations
  111. Sat Jul 25 10:22:11 2020 memory use: 330.4 MB
  112. Sat Jul 25 10:22:11 2020 reading ideals above 720000
  113. Sat Jul 25 10:22:11 2020 commencing singleton removal, initial pass
  114. Sat Jul 25 10:27:32 2020 memory use: 1378.0 MB
  115. Sat Jul 25 10:27:32 2020 reading all ideals from disk
  116. Sat Jul 25 10:27:33 2020 memory use: 1885.8 MB
  117. Sat Jul 25 10:27:37 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
  118. Sat Jul 25 10:27:41 2020 commencing in-memory singleton removal
  119. Sat Jul 25 10:27:44 2020 begin with 51855260 relations and 48294177 unique ideals
  120. Sat Jul 25 10:28:18 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
  121. Sat Jul 25 10:28:18 2020 max relations containing the same ideal: 166
  122. Sat Jul 25 10:28:30 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
  123. Sat Jul 25 10:28:32 2020 commencing in-memory singleton removal
  124. Sat Jul 25 10:28:34 2020 begin with 30189095 relations and 29722512 unique ideals
  125. Sat Jul 25 10:28:51 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
  126. Sat Jul 25 10:28:51 2020 max relations containing the same ideal: 147
  127. Sat Jul 25 10:29:03 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
  128. Sat Jul 25 10:29:04 2020 commencing in-memory singleton removal
  129. Sat Jul 25 10:29:05 2020 begin with 25835120 relations and 25423239 unique ideals
  130. Sat Jul 25 10:29:19 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
  131. Sat Jul 25 10:29:19 2020 max relations containing the same ideal: 131
  132. Sat Jul 25 10:29:29 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
  133. Sat Jul 25 10:29:30 2020 commencing in-memory singleton removal
  134. Sat Jul 25 10:29:31 2020 begin with 21887297 relations and 22216498 unique ideals
  135. Sat Jul 25 10:29:44 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
  136. Sat Jul 25 10:29:44 2020 max relations containing the same ideal: 115
  137. Sat Jul 25 10:29:53 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
  138. Sat Jul 25 10:29:54 2020 commencing in-memory singleton removal
  139. Sat Jul 25 10:29:55 2020 begin with 18037671 relations and 19260423 unique ideals
  140. Sat Jul 25 10:30:03 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
  141. Sat Jul 25 10:30:03 2020 max relations containing the same ideal: 101
  142. Sat Jul 25 10:30:10 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
  143. Sat Jul 25 10:30:11 2020 commencing in-memory singleton removal
  144. Sat Jul 25 10:30:11 2020 begin with 14390136 relations and 16353597 unique ideals
  145. Sat Jul 25 10:30:19 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
  146. Sat Jul 25 10:30:19 2020 max relations containing the same ideal: 85
  147. Sat Jul 25 10:30:25 2020 removing 166974 relations and 144280 ideals in 22694 cliques
  148. Sat Jul 25 10:30:25 2020 commencing in-memory singleton removal
  149. Sat Jul 25 10:30:26 2020 begin with 13752103 relations and 13584179 unique ideals
  150. Sat Jul 25 10:30:30 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
  151. Sat Jul 25 10:30:30 2020 max relations containing the same ideal: 85
  152. Sat Jul 25 10:30:32 2020 relations with 0 large ideals: 5549
  153. Sat Jul 25 10:30:32 2020 relations with 1 large ideals: 2364
  154. Sat Jul 25 10:30:32 2020 relations with 2 large ideals: 36897
  155. Sat Jul 25 10:30:32 2020 relations with 3 large ideals: 271436
  156. Sat Jul 25 10:30:32 2020 relations with 4 large ideals: 1073043
  157. Sat Jul 25 10:30:32 2020 relations with 5 large ideals: 2525862
  158. Sat Jul 25 10:30:32 2020 relations with 6 large ideals: 3819879
  159. Sat Jul 25 10:30:32 2020 relations with 7+ large ideals: 6015756
  160. Sat Jul 25 10:30:32 2020 commencing 2-way merge
  161. Sat Jul 25 10:30:40 2020 reduce to 8897499 relation sets and 8585294 unique ideals
  162. Sat Jul 25 10:30:40 2020 commencing full merge
  163. Sat Jul 25 10:36:02 2020 memory use: 398.0 MB
  164. Sat Jul 25 10:36:02 2020 found 15372 cycles, need 1915882
  165. Sat Jul 25 10:36:02 2020 too few cycles, matrix probably cannot build
  166. Sat Jul 25 10:37:28 2020
  167. Sat Jul 25 10:37:28 2020
  168. Sat Jul 25 10:37:28 2020 Msieve v. 1.53 (SVN 1005)
  169. Sat Jul 25 10:37:28 2020 random seeds: f93cd424 6873c4de
  170. Sat Jul 25 10:37:28 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  171. Sat Jul 25 10:37:29 2020 searching for 15-digit factors
  172. Sat Jul 25 10:37:29 2020 commencing number field sieve (179-digit input)
  173. Sat Jul 25 10:37:29 2020 R0: 178513261775594993287956037972113537210001
  174. Sat Jul 25 10:37:29 2020 R1: -1
  175. Sat Jul 25 10:37:29 2020 A0: -1
  176. Sat Jul 25 10:37:29 2020 A1: 0
  177. Sat Jul 25 10:37:29 2020 A2: 0
  178. Sat Jul 25 10:37:29 2020 A3: 0
  179. Sat Jul 25 10:37:29 2020 A4: 0
  180. Sat Jul 25 10:37:29 2020 A5: 7503751
  181. Sat Jul 25 10:37:29 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  182. Sat Jul 25 10:37:29 2020
  183. Sat Jul 25 10:37:29 2020 commencing relation filtering
  184. Sat Jul 25 10:37:29 2020 setting target matrix density to 110.0
  185. Sat Jul 25 10:37:29 2020 estimated available RAM is 16141.3 MB
  186. Sat Jul 25 10:37:29 2020 commencing duplicate removal, pass 1
  187. <1275 errors>
  188. Sat Jul 25 10:44:24 2020 skipped 680 relations with b > 2^32
  189. Sat Jul 25 10:44:24 2020 skipped 38 relations with composite factors
  190. Sat Jul 25 10:44:24 2020 found 10817119 hash collisions in 61774063 relations
  191. Sat Jul 25 10:44:46 2020 commencing duplicate removal, pass 2
  192. Sat Jul 25 10:45:11 2020 found 9918803 duplicates and 51855260 unique relations
  193. Sat Jul 25 10:45:11 2020 memory use: 330.4 MB
  194. Sat Jul 25 10:45:11 2020 reading ideals above 720000
  195. Sat Jul 25 10:45:11 2020 commencing singleton removal, initial pass
  196. Sat Jul 25 10:50:32 2020 memory use: 1378.0 MB
  197. Sat Jul 25 10:50:32 2020 reading all ideals from disk
  198. Sat Jul 25 10:50:33 2020 memory use: 1885.8 MB
  199. Sat Jul 25 10:50:37 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
  200. Sat Jul 25 10:50:41 2020 commencing in-memory singleton removal
  201. Sat Jul 25 10:50:44 2020 begin with 51855260 relations and 48294177 unique ideals
  202. Sat Jul 25 10:51:17 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
  203. Sat Jul 25 10:51:17 2020 max relations containing the same ideal: 166
  204. Sat Jul 25 10:51:30 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
  205. Sat Jul 25 10:51:31 2020 commencing in-memory singleton removal
  206. Sat Jul 25 10:51:33 2020 begin with 30189095 relations and 29722512 unique ideals
  207. Sat Jul 25 10:51:50 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
  208. Sat Jul 25 10:51:50 2020 max relations containing the same ideal: 147
  209. Sat Jul 25 10:52:01 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
  210. Sat Jul 25 10:52:02 2020 commencing in-memory singleton removal
  211. Sat Jul 25 10:52:04 2020 begin with 25835120 relations and 25423239 unique ideals
  212. Sat Jul 25 10:52:17 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
  213. Sat Jul 25 10:52:17 2020 max relations containing the same ideal: 131
  214. Sat Jul 25 10:52:26 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
  215. Sat Jul 25 10:52:27 2020 commencing in-memory singleton removal
  216. Sat Jul 25 10:52:28 2020 begin with 21887297 relations and 22216498 unique ideals
  217. Sat Jul 25 10:52:40 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
  218. Sat Jul 25 10:52:40 2020 max relations containing the same ideal: 115
  219. Sat Jul 25 10:52:49 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
  220. Sat Jul 25 10:52:49 2020 commencing in-memory singleton removal
  221. Sat Jul 25 10:52:50 2020 begin with 18037671 relations and 19260423 unique ideals
  222. Sat Jul 25 10:52:58 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
  223. Sat Jul 25 10:52:58 2020 max relations containing the same ideal: 101
  224. Sat Jul 25 10:53:05 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
  225. Sat Jul 25 10:53:05 2020 commencing in-memory singleton removal
  226. Sat Jul 25 10:53:06 2020 begin with 14390136 relations and 16353597 unique ideals
  227. Sat Jul 25 10:53:14 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
  228. Sat Jul 25 10:53:14 2020 max relations containing the same ideal: 85
  229. Sat Jul 25 10:53:19 2020 removing 166974 relations and 144280 ideals in 22694 cliques
  230. Sat Jul 25 10:53:19 2020 commencing in-memory singleton removal
  231. Sat Jul 25 10:53:20 2020 begin with 13752103 relations and 13584179 unique ideals
  232. Sat Jul 25 10:53:24 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
  233. Sat Jul 25 10:53:24 2020 max relations containing the same ideal: 85
  234. Sat Jul 25 10:53:26 2020 relations with 0 large ideals: 5549
  235. Sat Jul 25 10:53:26 2020 relations with 1 large ideals: 2364
  236. Sat Jul 25 10:53:26 2020 relations with 2 large ideals: 36897
  237. Sat Jul 25 10:53:26 2020 relations with 3 large ideals: 271436
  238. Sat Jul 25 10:53:26 2020 relations with 4 large ideals: 1073043
  239. Sat Jul 25 10:53:26 2020 relations with 5 large ideals: 2525862
  240. Sat Jul 25 10:53:26 2020 relations with 6 large ideals: 3819879
  241. Sat Jul 25 10:53:26 2020 relations with 7+ large ideals: 6015756
  242. Sat Jul 25 10:53:26 2020 commencing 2-way merge
  243. Sat Jul 25 10:53:33 2020 reduce to 8897499 relation sets and 8585294 unique ideals
  244. Sat Jul 25 10:53:33 2020 commencing full merge
  245. Sat Jul 25 10:56:09 2020 memory use: 1120.5 MB
  246. Sat Jul 25 10:56:10 2020 found 4040499 cycles, need 4025494
  247. Sat Jul 25 10:56:11 2020 weight of 4025494 cycles is about 443397783 (110.15/cycle)
  248. Sat Jul 25 10:56:11 2020 distribution of cycle lengths:
  249. Sat Jul 25 10:56:11 2020 1 relations: 238538
  250. Sat Jul 25 10:56:11 2020 2 relations: 294327
  251. Sat Jul 25 10:56:11 2020 3 relations: 318565
  252. Sat Jul 25 10:56:11 2020 4 relations: 317041
  253. Sat Jul 25 10:56:11 2020 5 relations: 312568
  254. Sat Jul 25 10:56:11 2020 6 relations: 301612
  255. Sat Jul 25 10:56:11 2020 7 relations: 287346
  256. Sat Jul 25 10:56:11 2020 8 relations: 267868
  257. Sat Jul 25 10:56:11 2020 9 relations: 247203
  258. Sat Jul 25 10:56:11 2020 10+ relations: 1440426
  259. Sat Jul 25 10:56:11 2020 heaviest cycle: 28 relations
  260. Sat Jul 25 10:56:12 2020 commencing cycle optimization
  261. Sat Jul 25 10:56:18 2020 start with 33488433 relations
  262. Sat Jul 25 10:57:20 2020 pruned 1459374 relations
  263. Sat Jul 25 10:57:20 2020 memory use: 911.1 MB
  264. Sat Jul 25 10:57:20 2020 distribution of cycle lengths:
  265. Sat Jul 25 10:57:20 2020 1 relations: 238538
  266. Sat Jul 25 10:57:20 2020 2 relations: 301712
  267. Sat Jul 25 10:57:20 2020 3 relations: 332437
  268. Sat Jul 25 10:57:20 2020 4 relations: 330275
  269. Sat Jul 25 10:57:20 2020 5 relations: 327740
  270. Sat Jul 25 10:57:20 2020 6 relations: 314904
  271. Sat Jul 25 10:57:20 2020 7 relations: 300617
  272. Sat Jul 25 10:57:20 2020 8 relations: 278279
  273. Sat Jul 25 10:57:20 2020 9 relations: 256095
  274. Sat Jul 25 10:57:20 2020 10+ relations: 1344897
  275. Sat Jul 25 10:57:20 2020 heaviest cycle: 28 relations
  276. Sat Jul 25 10:57:24 2020 RelProcTime: 1195
  277. Sat Jul 25 10:57:24 2020 elapsed time 00:19:56
  278. Sat Jul 25 10:57:43 2020
  279. Sat Jul 25 10:57:43 2020
  280. Sat Jul 25 10:57:43 2020 Msieve v. 1.53 (SVN 1005)
  281. Sat Jul 25 10:57:43 2020 random seeds: 451dc6a8 5a39a7a6
  282. Sat Jul 25 10:57:43 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  283. Sat Jul 25 10:57:44 2020 searching for 15-digit factors
  284. Sat Jul 25 10:57:44 2020 commencing number field sieve (179-digit input)
  285. Sat Jul 25 10:57:44 2020 R0: 178513261775594993287956037972113537210001
  286. Sat Jul 25 10:57:44 2020 R1: -1
  287. Sat Jul 25 10:57:44 2020 A0: -1
  288. Sat Jul 25 10:57:44 2020 A1: 0
  289. Sat Jul 25 10:57:44 2020 A2: 0
  290. Sat Jul 25 10:57:44 2020 A3: 0
  291. Sat Jul 25 10:57:44 2020 A4: 0
  292. Sat Jul 25 10:57:44 2020 A5: 7503751
  293. Sat Jul 25 10:57:44 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  294. Sat Jul 25 10:57:44 2020
  295. Sat Jul 25 10:57:44 2020 commencing relation filtering
  296. Sat Jul 25 10:57:44 2020 setting target matrix density to 115.0
  297. Sat Jul 25 10:57:44 2020 estimated available RAM is 16141.3 MB
  298. Sat Jul 25 10:57:44 2020 commencing duplicate removal, pass 1
  299. <1275 errors>
  300. Sat Jul 25 11:04:39 2020 skipped 680 relations with b > 2^32
  301. Sat Jul 25 11:04:39 2020 skipped 38 relations with composite factors
  302. Sat Jul 25 11:04:39 2020 found 10817119 hash collisions in 61774063 relations
  303. Sat Jul 25 11:05:01 2020 commencing duplicate removal, pass 2
  304. Sat Jul 25 11:05:26 2020 found 9918803 duplicates and 51855260 unique relations
  305. Sat Jul 25 11:05:26 2020 memory use: 330.4 MB
  306. Sat Jul 25 11:05:26 2020 reading ideals above 720000
  307. Sat Jul 25 11:05:26 2020 commencing singleton removal, initial pass
  308. Sat Jul 25 11:10:44 2020 memory use: 1378.0 MB
  309. Sat Jul 25 11:10:44 2020 reading all ideals from disk
  310. Sat Jul 25 11:10:45 2020 memory use: 1885.8 MB
  311. Sat Jul 25 11:10:49 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
  312. Sat Jul 25 11:10:52 2020 commencing in-memory singleton removal
  313. Sat Jul 25 11:10:56 2020 begin with 51855260 relations and 48294177 unique ideals
  314. Sat Jul 25 11:11:29 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
  315. Sat Jul 25 11:11:29 2020 max relations containing the same ideal: 166
  316. Sat Jul 25 11:11:42 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
  317. Sat Jul 25 11:11:43 2020 commencing in-memory singleton removal
  318. Sat Jul 25 11:11:45 2020 begin with 30189095 relations and 29722512 unique ideals
  319. Sat Jul 25 11:12:02 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
  320. Sat Jul 25 11:12:02 2020 max relations containing the same ideal: 147
  321. Sat Jul 25 11:12:13 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
  322. Sat Jul 25 11:12:14 2020 commencing in-memory singleton removal
  323. Sat Jul 25 11:12:16 2020 begin with 25835120 relations and 25423239 unique ideals
  324. Sat Jul 25 11:12:29 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
  325. Sat Jul 25 11:12:29 2020 max relations containing the same ideal: 131
  326. Sat Jul 25 11:12:38 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
  327. Sat Jul 25 11:12:39 2020 commencing in-memory singleton removal
  328. Sat Jul 25 11:12:41 2020 begin with 21887297 relations and 22216498 unique ideals
  329. Sat Jul 25 11:12:53 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
  330. Sat Jul 25 11:12:53 2020 max relations containing the same ideal: 115
  331. Sat Jul 25 11:13:01 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
  332. Sat Jul 25 11:13:02 2020 commencing in-memory singleton removal
  333. Sat Jul 25 11:13:03 2020 begin with 18037671 relations and 19260423 unique ideals
  334. Sat Jul 25 11:13:10 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
  335. Sat Jul 25 11:13:10 2020 max relations containing the same ideal: 101
  336. Sat Jul 25 11:13:17 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
  337. Sat Jul 25 11:13:18 2020 commencing in-memory singleton removal
  338. Sat Jul 25 11:13:19 2020 begin with 14390136 relations and 16353597 unique ideals
  339. Sat Jul 25 11:13:26 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
  340. Sat Jul 25 11:13:26 2020 max relations containing the same ideal: 85
  341. Sat Jul 25 11:13:31 2020 removing 166974 relations and 144280 ideals in 22694 cliques
  342. Sat Jul 25 11:13:31 2020 commencing in-memory singleton removal
  343. Sat Jul 25 11:13:32 2020 begin with 13752103 relations and 13584179 unique ideals
  344. Sat Jul 25 11:13:36 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
  345. Sat Jul 25 11:13:36 2020 max relations containing the same ideal: 85
  346. Sat Jul 25 11:13:38 2020 relations with 0 large ideals: 5549
  347. Sat Jul 25 11:13:38 2020 relations with 1 large ideals: 2364
  348. Sat Jul 25 11:13:38 2020 relations with 2 large ideals: 36897
  349. Sat Jul 25 11:13:38 2020 relations with 3 large ideals: 271436
  350. Sat Jul 25 11:13:38 2020 relations with 4 large ideals: 1073043
  351. Sat Jul 25 11:13:38 2020 relations with 5 large ideals: 2525862
  352. Sat Jul 25 11:13:38 2020 relations with 6 large ideals: 3819879
  353. Sat Jul 25 11:13:38 2020 relations with 7+ large ideals: 6015756
  354. Sat Jul 25 11:13:38 2020 commencing 2-way merge
  355. Sat Jul 25 11:13:45 2020 reduce to 8897499 relation sets and 8585294 unique ideals
  356. Sat Jul 25 11:13:45 2020 commencing full merge
  357. Sat Jul 25 11:16:26 2020 memory use: 1125.4 MB
  358. Sat Jul 25 11:16:28 2020 found 3976555 cycles, need 3971494
  359. Sat Jul 25 11:16:28 2020 weight of 3971494 cycles is about 457059875 (115.09/cycle)
  360. Sat Jul 25 11:16:28 2020 distribution of cycle lengths:
  361. Sat Jul 25 11:16:28 2020 1 relations: 218125
  362. Sat Jul 25 11:16:28 2020 2 relations: 275248
  363. Sat Jul 25 11:16:28 2020 3 relations: 301326
  364. Sat Jul 25 11:16:28 2020 4 relations: 299489
  365. Sat Jul 25 11:16:28 2020 5 relations: 298008
  366. Sat Jul 25 11:16:28 2020 6 relations: 287291
  367. Sat Jul 25 11:16:28 2020 7 relations: 276835
  368. Sat Jul 25 11:16:28 2020 8 relations: 259150
  369. Sat Jul 25 11:16:28 2020 9 relations: 241227
  370. Sat Jul 25 11:16:28 2020 10+ relations: 1514795
  371. Sat Jul 25 11:16:28 2020 heaviest cycle: 28 relations
  372. Sat Jul 25 11:16:30 2020 commencing cycle optimization
  373. Sat Jul 25 11:16:35 2020 start with 34495881 relations
  374. Sat Jul 25 11:17:40 2020 pruned 1563060 relations
  375. Sat Jul 25 11:17:40 2020 memory use: 921.2 MB
  376. Sat Jul 25 11:17:40 2020 distribution of cycle lengths:
  377. Sat Jul 25 11:17:40 2020 1 relations: 218125
  378. Sat Jul 25 11:17:40 2020 2 relations: 282223
  379. Sat Jul 25 11:17:40 2020 3 relations: 314455
  380. Sat Jul 25 11:17:40 2020 4 relations: 312290
  381. Sat Jul 25 11:17:40 2020 5 relations: 312675
  382. Sat Jul 25 11:17:40 2020 6 relations: 300427
  383. Sat Jul 25 11:17:40 2020 7 relations: 290142
  384. Sat Jul 25 11:17:40 2020 8 relations: 270134
  385. Sat Jul 25 11:17:40 2020 9 relations: 251113
  386. Sat Jul 25 11:17:40 2020 10+ relations: 1419910
  387. Sat Jul 25 11:17:40 2020 heaviest cycle: 28 relations
  388. Sat Jul 25 11:17:44 2020 RelProcTime: 1200
  389. Sat Jul 25 11:17:44 2020 elapsed time 00:20:01
  390. Sat Jul 25 11:18:06 2020
  391. Sat Jul 25 11:18:06 2020
  392. Sat Jul 25 11:18:06 2020 Msieve v. 1.53 (SVN 1005)
  393. Sat Jul 25 11:18:06 2020 random seeds: ff72bc64 fd11e34e
  394. Sat Jul 25 11:18:06 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  395. Sat Jul 25 11:18:06 2020 searching for 15-digit factors
  396. Sat Jul 25 11:18:07 2020 commencing number field sieve (179-digit input)
  397. Sat Jul 25 11:18:07 2020 R0: 178513261775594993287956037972113537210001
  398. Sat Jul 25 11:18:07 2020 R1: -1
  399. Sat Jul 25 11:18:07 2020 A0: -1
  400. Sat Jul 25 11:18:07 2020 A1: 0
  401. Sat Jul 25 11:18:07 2020 A2: 0
  402. Sat Jul 25 11:18:07 2020 A3: 0
  403. Sat Jul 25 11:18:07 2020 A4: 0
  404. Sat Jul 25 11:18:07 2020 A5: 7503751
  405. Sat Jul 25 11:18:07 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  406. Sat Jul 25 11:18:07 2020
  407. Sat Jul 25 11:18:07 2020 commencing linear algebra
  408. Sat Jul 25 11:18:07 2020 read 3971494 cycles
  409. Sat Jul 25 11:18:15 2020 cycles contain 13555194 unique relations
  410. Sat Jul 25 11:19:19 2020 read 13555194 relations
  411. Sat Jul 25 11:19:37 2020 using 20 quadratic characters above 4294917295
  412. Sat Jul 25 11:20:34 2020 building initial matrix
  413. Sat Jul 25 11:22:46 2020 memory use: 1708.2 MB
  414. Sat Jul 25 11:22:49 2020 read 3971494 cycles
  415. Sat Jul 25 11:22:49 2020 matrix is 3971317 x 3971494 (1787.8 MB) with weight 517329046 (130.26/col)
  416. Sat Jul 25 11:22:49 2020 sparse part has weight 424967159 (107.00/col)
  417. Sat Jul 25 11:23:22 2020 filtering completed in 2 passes
  418. Sat Jul 25 11:23:23 2020 matrix is 3971256 x 3971433 (1787.8 MB) with weight 517326982 (130.26/col)
  419. Sat Jul 25 11:23:23 2020 sparse part has weight 424966519 (107.01/col)
  420. Sat Jul 25 11:23:36 2020 matrix starts at (0, 0)
  421. Sat Jul 25 11:23:37 2020 matrix is 3971256 x 3971433 (1787.8 MB) with weight 517326982 (130.26/col)
  422. Sat Jul 25 11:23:37 2020 sparse part has weight 424966519 (107.01/col)
  423. Sat Jul 25 11:23:37 2020 saving the first 48 matrix rows for later
  424. Sat Jul 25 11:23:38 2020 matrix includes 64 packed rows
  425. Sat Jul 25 11:23:38 2020 matrix is 3971208 x 3971433 (1707.6 MB) with weight 440224678 (110.85/col)
  426. Sat Jul 25 11:23:38 2020 sparse part has weight 407911086 (102.71/col)
  427. Sat Jul 25 11:23:38 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB
  428. Sat Jul 25 11:23:56 2020 commencing Lanczos iteration (6 threads)
  429. Sat Jul 25 11:23:56 2020 memory use: 1422.0 MB
  430. Sat Jul 25 11:24:04 2020 linear algebra at 0.0%, ETA 5h 5m
  431. Sat Jul 25 11:24:07 2020 checkpointing every 730000 dimensions
  432. Sat Jul 25 18:31:28 2020 lanczos halted after 62803 iterations (dim = 3971205)
  433. Sat Jul 25 18:31:32 2020 recovered 34 nontrivial dependencies
  434. Sat Jul 25 18:31:33 2020 BLanczosTime: 26006
  435. Sat Jul 25 18:31:33 2020 elapsed time 07:13:27
  436. Sat Jul 25 18:31:40 2020
  437. Sat Jul 25 18:31:40 2020
  438. Sat Jul 25 18:31:40 2020 Msieve v. 1.53 (SVN 1005)
  439. Sat Jul 25 18:31:40 2020 random seeds: d00c9e60 20e935ce
  440. Sat Jul 25 18:31:40 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
  441. Sat Jul 25 18:31:41 2020 searching for 15-digit factors
  442. Sat Jul 25 18:31:41 2020 commencing number field sieve (179-digit input)
  443. Sat Jul 25 18:31:41 2020 R0: 178513261775594993287956037972113537210001
  444. Sat Jul 25 18:31:41 2020 R1: -1
  445. Sat Jul 25 18:31:41 2020 A0: -1
  446. Sat Jul 25 18:31:41 2020 A1: 0
  447. Sat Jul 25 18:31:41 2020 A2: 0
  448. Sat Jul 25 18:31:41 2020 A3: 0
  449. Sat Jul 25 18:31:41 2020 A4: 0
  450. Sat Jul 25 18:31:41 2020 A5: 7503751
  451. Sat Jul 25 18:31:41 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
  452. Sat Jul 25 18:31:41 2020
  453. Sat Jul 25 18:31:41 2020 commencing square root phase
  454. Sat Jul 25 18:31:41 2020 reading relations for dependency 1
  455. Sat Jul 25 18:31:42 2020 read 1984465 cycles
  456. Sat Jul 25 18:31:45 2020 cycles contain 6776376 unique relations
  457. Sat Jul 25 18:32:20 2020 read 6776376 relations
  458. Sat Jul 25 18:32:45 2020 multiplying 6776376 relations
  459. Sat Jul 25 18:37:03 2020 multiply complete, coefficients have about 304.02 million bits
  460. Sat Jul 25 18:37:03 2020 initial square root is modulo 285251
  461. Sat Jul 25 18:42:05 2020 GCD is N, no factor found
  462. Sat Jul 25 18:42:05 2020 reading relations for dependency 2
  463. Sat Jul 25 18:42:06 2020 read 1983720 cycles
  464. Sat Jul 25 18:42:09 2020 cycles contain 6771978 unique relations
  465. Sat Jul 25 18:42:44 2020 read 6771978 relations
  466. Sat Jul 25 18:43:09 2020 multiplying 6771978 relations
  467. Sat Jul 25 18:47:27 2020 multiply complete, coefficients have about 303.82 million bits
  468. Sat Jul 25 18:47:27 2020 initial square root is modulo 282911
  469. Sat Jul 25 18:52:29 2020 found factor: 75455992727427104319023985251117379988539274686194384494093
  470. Sat Jul 25 18:52:29 2020 reading relations for dependency 3
  471. Sat Jul 25 18:52:30 2020 read 1985289 cycles
  472. Sat Jul 25 18:52:33 2020 cycles contain 6779110 unique relations
  473. Sat Jul 25 18:53:08 2020 read 6779110 relations
  474. Sat Jul 25 18:53:33 2020 multiplying 6779110 relations
  475. Sat Jul 25 18:57:56 2020 multiply complete, coefficients have about 304.14 million bits
  476. Sat Jul 25 18:57:56 2020 initial square root is modulo 286651
  477. Sat Jul 25 19:02:56 2020 sqrtTime: 1875
  478. Sat Jul 25 19:02:56 2020 p49 factor: 8830574846454935898199455755450625228110359932947
  479. Sat Jul 25 19:02:56 2020 p59 factor: 75455992727427104319023985251117379988539274686194384494093
  480. Sat Jul 25 19:02:56 2020 p71 factor: 25059099805098130538661492075495288000705615021706272398547232823908183
  481. Sat Jul 25 19:02:56 2020 elapsed time 00:31:16
  482.  
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