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553__509_11m1

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Oct 29th, 2020
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  1. Thu Oct 29 09:44:55 2020
  2. Thu Oct 29 09:44:55 2020
  3. Thu Oct 29 09:44:55 2020 Msieve v. 1.53 (SVN 1005)
  4. Thu Oct 29 09:44:55 2020 random seeds: 5050c7c0 4fc1c74c
  5. Thu Oct 29 09:44:55 2020 factoring 345214260969900472186471282615818263491664992741010849093327280057093616455435053851131429588167773670679079896199538298851884462828964129144967421867129601740313530863336665696287636348491680001978289 (201 digits)
  6. Thu Oct 29 09:44:55 2020 searching for 15-digit factors
  7. Thu Oct 29 09:44:56 2020 commencing number field sieve (201-digit input)
  8. Thu Oct 29 09:44:56 2020 R0: 3061612474411658886319778607858436642230565082
  9. Thu Oct 29 09:44:56 2020 R1: -55331839608056218017509
  10. Thu Oct 29 09:44:56 2020 A0: 1
  11. Thu Oct 29 09:44:56 2020 A1: 3
  12. Thu Oct 29 09:44:56 2020 A2: -3
  13. Thu Oct 29 09:44:56 2020 A3: -4
  14. Thu Oct 29 09:44:56 2020 A4: 1
  15. Thu Oct 29 09:44:56 2020 A5: 1
  16. Thu Oct 29 09:44:56 2020 skew 1.00, size 1.752e-015, alpha 2.379, combined = 1.358e-012 rroots = 5
  17. Thu Oct 29 09:44:56 2020
  18. Thu Oct 29 09:44:56 2020 commencing relation filtering
  19. Thu Oct 29 09:44:56 2020 setting target matrix density to 130.0
  20. Thu Oct 29 09:44:56 2020 estimated available RAM is 16141.3 MB
  21. Thu Oct 29 09:44:56 2020 commencing duplicate removal, pass 1
  22. <70 errors>
  23. Thu Oct 29 09:59:45 2020 skipped 43 relations with b > 2^32
  24. Thu Oct 29 09:59:45 2020 skipped 39 relations with composite factors
  25. Thu Oct 29 09:59:45 2020 found 22180180 hash collisions in 137198037 relations
  26. Thu Oct 29 09:59:52 2020 added 2926300 free relations
  27. Thu Oct 29 09:59:52 2020 commencing duplicate removal, pass 2
  28. Thu Oct 29 10:00:47 2020 found 21713888 duplicates and 118410449 unique relations
  29. Thu Oct 29 10:00:47 2020 memory use: 788.8 MB
  30. Thu Oct 29 10:00:47 2020 reading ideals above 83951616
  31. Thu Oct 29 10:00:47 2020 commencing singleton removal, initial pass
  32. Thu Oct 29 10:10:26 2020 memory use: 2756.0 MB
  33. Thu Oct 29 10:10:26 2020 reading all ideals from disk
  34. Thu Oct 29 10:10:27 2020 memory use: 1981.9 MB
  35. Thu Oct 29 10:10:31 2020 commencing in-memory singleton removal
  36. Thu Oct 29 10:10:34 2020 begin with 118410449 relations and 84958953 unique ideals
  37. Thu Oct 29 10:11:07 2020 reduce to 89569541 relations and 53930746 ideals in 11 passes
  38. Thu Oct 29 10:11:07 2020 max relations containing the same ideal: 55
  39. Thu Oct 29 10:11:12 2020 reading ideals above 720000
  40. Thu Oct 29 10:11:12 2020 commencing singleton removal, initial pass
  41. Thu Oct 29 10:20:02 2020 memory use: 1506.0 MB
  42. Thu Oct 29 10:20:02 2020 reading all ideals from disk
  43. Thu Oct 29 10:20:04 2020 memory use: 3345.9 MB
  44. Thu Oct 29 10:20:10 2020 keeping 63242421 ideals with weight <= 200, target excess is 462040
  45. Thu Oct 29 10:20:16 2020 commencing in-memory singleton removal
  46. Thu Oct 29 10:20:21 2020 begin with 89569541 relations and 63242421 unique ideals
  47. Thu Oct 29 10:20:37 2020 reduce to 89569336 relations and 63242216 ideals in 3 passes
  48. Thu Oct 29 10:20:37 2020 max relations containing the same ideal: 200
  49. Thu Oct 29 10:21:03 2020 removing 7380098 relations and 5380098 ideals in 2000000 cliques
  50. Thu Oct 29 10:21:05 2020 commencing in-memory singleton removal
  51. Thu Oct 29 10:21:10 2020 begin with 82189238 relations and 63242216 unique ideals
  52. Thu Oct 29 10:21:46 2020 reduce to 81678576 relations and 57337116 ideals in 7 passes
  53. Thu Oct 29 10:21:46 2020 max relations containing the same ideal: 196
  54. Thu Oct 29 10:22:11 2020 removing 6006492 relations and 4006492 ideals in 2000000 cliques
  55. Thu Oct 29 10:22:13 2020 commencing in-memory singleton removal
  56. Thu Oct 29 10:22:18 2020 begin with 75672084 relations and 57337116 unique ideals
  57. Thu Oct 29 10:22:49 2020 reduce to 75325942 relations and 52975749 ideals in 7 passes
  58. Thu Oct 29 10:22:49 2020 max relations containing the same ideal: 189
  59. Thu Oct 29 10:23:12 2020 removing 5620222 relations and 3620222 ideals in 2000000 cliques
  60. Thu Oct 29 10:23:14 2020 commencing in-memory singleton removal
  61. Thu Oct 29 10:23:18 2020 begin with 69705720 relations and 52975749 unique ideals
  62. Thu Oct 29 10:23:43 2020 reduce to 69406333 relations and 49048336 ideals in 6 passes
  63. Thu Oct 29 10:23:43 2020 max relations containing the same ideal: 180
  64. Thu Oct 29 10:24:05 2020 removing 5415332 relations and 3415332 ideals in 2000000 cliques
  65. Thu Oct 29 10:24:06 2020 commencing in-memory singleton removal
  66. Thu Oct 29 10:24:10 2020 begin with 63991001 relations and 49048336 unique ideals
  67. Thu Oct 29 10:24:33 2020 reduce to 63710065 relations and 45344573 ideals in 6 passes
  68. Thu Oct 29 10:24:33 2020 max relations containing the same ideal: 169
  69. Thu Oct 29 10:24:53 2020 removing 5286495 relations and 3286495 ideals in 2000000 cliques
  70. Thu Oct 29 10:24:54 2020 commencing in-memory singleton removal
  71. Thu Oct 29 10:24:58 2020 begin with 58423570 relations and 45344573 unique ideals
  72. Thu Oct 29 10:25:22 2020 reduce to 58148940 relations and 41775731 ideals in 7 passes
  73. Thu Oct 29 10:25:22 2020 max relations containing the same ideal: 162
  74. Thu Oct 29 10:25:40 2020 removing 5196519 relations and 3196519 ideals in 2000000 cliques
  75. Thu Oct 29 10:25:41 2020 commencing in-memory singleton removal
  76. Thu Oct 29 10:25:44 2020 begin with 52952421 relations and 41775731 unique ideals
  77. Thu Oct 29 10:26:03 2020 reduce to 52675212 relations and 38293613 ideals in 6 passes
  78. Thu Oct 29 10:26:03 2020 max relations containing the same ideal: 150
  79. Thu Oct 29 10:26:19 2020 removing 5130438 relations and 3130438 ideals in 2000000 cliques
  80. Thu Oct 29 10:26:21 2020 commencing in-memory singleton removal
  81. Thu Oct 29 10:26:23 2020 begin with 47544774 relations and 38293613 unique ideals
  82. Thu Oct 29 10:26:39 2020 reduce to 47258869 relations and 34867842 ideals in 6 passes
  83. Thu Oct 29 10:26:39 2020 max relations containing the same ideal: 143
  84. Thu Oct 29 10:26:54 2020 removing 5086113 relations and 3086113 ideals in 2000000 cliques
  85. Thu Oct 29 10:26:56 2020 commencing in-memory singleton removal
  86. Thu Oct 29 10:26:58 2020 begin with 42172756 relations and 34867842 unique ideals
  87. Thu Oct 29 10:27:15 2020 reduce to 41868431 relations and 31466617 ideals in 7 passes
  88. Thu Oct 29 10:27:15 2020 max relations containing the same ideal: 130
  89. Thu Oct 29 10:27:28 2020 removing 5056771 relations and 3056771 ideals in 2000000 cliques
  90. Thu Oct 29 10:27:29 2020 commencing in-memory singleton removal
  91. Thu Oct 29 10:27:31 2020 begin with 36811660 relations and 31466617 unique ideals
  92. Thu Oct 29 10:27:45 2020 reduce to 36481285 relations and 28066549 ideals in 7 passes
  93. Thu Oct 29 10:27:45 2020 max relations containing the same ideal: 119
  94. Thu Oct 29 10:27:57 2020 removing 5036001 relations and 3036001 ideals in 2000000 cliques
  95. Thu Oct 29 10:27:58 2020 commencing in-memory singleton removal
  96. Thu Oct 29 10:28:00 2020 begin with 31445284 relations and 28066549 unique ideals
  97. Thu Oct 29 10:28:10 2020 reduce to 31078918 relations and 24647926 ideals in 6 passes
  98. Thu Oct 29 10:28:10 2020 max relations containing the same ideal: 105
  99. Thu Oct 29 10:28:20 2020 removing 5023575 relations and 3023575 ideals in 2000000 cliques
  100. Thu Oct 29 10:28:21 2020 commencing in-memory singleton removal
  101. Thu Oct 29 10:28:23 2020 begin with 26055343 relations and 24647926 unique ideals
  102. Thu Oct 29 10:28:31 2020 reduce to 25637936 relations and 21185692 ideals in 6 passes
  103. Thu Oct 29 10:28:31 2020 max relations containing the same ideal: 93
  104. Thu Oct 29 10:28:40 2020 removing 5016692 relations and 3016692 ideals in 2000000 cliques
  105. Thu Oct 29 10:28:41 2020 commencing in-memory singleton removal
  106. Thu Oct 29 10:28:42 2020 begin with 20621244 relations and 21185692 unique ideals
  107. Thu Oct 29 10:28:50 2020 reduce to 20124677 relations and 17641407 ideals in 7 passes
  108. Thu Oct 29 10:28:50 2020 max relations containing the same ideal: 80
  109. Thu Oct 29 10:28:56 2020 removing 4890722 relations and 2943419 ideals in 1947303 cliques
  110. Thu Oct 29 10:28:57 2020 commencing in-memory singleton removal
  111. Thu Oct 29 10:28:58 2020 begin with 15233955 relations and 17641407 unique ideals
  112. Thu Oct 29 10:29:05 2020 reduce to 14600120 relations and 14014826 ideals in 9 passes
  113. Thu Oct 29 10:29:05 2020 max relations containing the same ideal: 66
  114. Thu Oct 29 10:29:10 2020 removing 252247 relations and 202920 ideals in 49327 cliques
  115. Thu Oct 29 10:29:10 2020 commencing in-memory singleton removal
  116. Thu Oct 29 10:29:11 2020 begin with 14347873 relations and 14014826 unique ideals
  117. Thu Oct 29 10:29:14 2020 reduce to 14343249 relations and 13807259 ideals in 5 passes
  118. Thu Oct 29 10:29:14 2020 max relations containing the same ideal: 64
  119. Thu Oct 29 10:29:16 2020 relations with 0 large ideals: 36558
  120. Thu Oct 29 10:29:16 2020 relations with 1 large ideals: 8456
  121. Thu Oct 29 10:29:16 2020 relations with 2 large ideals: 101900
  122. Thu Oct 29 10:29:16 2020 relations with 3 large ideals: 593931
  123. Thu Oct 29 10:29:16 2020 relations with 4 large ideals: 1826029
  124. Thu Oct 29 10:29:16 2020 relations with 5 large ideals: 3305081
  125. Thu Oct 29 10:29:16 2020 relations with 6 large ideals: 4230295
  126. Thu Oct 29 10:29:16 2020 relations with 7+ large ideals: 4240999
  127. Thu Oct 29 10:29:16 2020 commencing 2-way merge
  128. Thu Oct 29 10:29:23 2020 reduce to 10312395 relation sets and 9776404 unique ideals
  129. Thu Oct 29 10:29:23 2020 commencing full merge
  130. Thu Oct 29 10:35:00 2020 memory use: 456.2 MB
  131. Thu Oct 29 10:35:00 2020 found 48439 cycles, need 2299393
  132. Thu Oct 29 10:35:00 2020 too few cycles, matrix probably cannot build
  133. Thu Oct 29 10:35:16 2020
  134. Thu Oct 29 10:35:16 2020
  135. Thu Oct 29 10:35:16 2020 Msieve v. 1.53 (SVN 1005)
  136. Thu Oct 29 10:35:16 2020 random seeds: 89d32600 4970fa1b
  137. Thu Oct 29 10:35:16 2020 factoring 345214260969900472186471282615818263491664992741010849093327280057093616455435053851131429588167773670679079896199538298851884462828964129144967421867129601740313530863336665696287636348491680001978289 (201 digits)
  138. Thu Oct 29 10:35:17 2020 searching for 15-digit factors
  139. Thu Oct 29 10:35:17 2020 commencing number field sieve (201-digit input)
  140. Thu Oct 29 10:35:17 2020 R0: 3061612474411658886319778607858436642230565082
  141. Thu Oct 29 10:35:17 2020 R1: -55331839608056218017509
  142. Thu Oct 29 10:35:17 2020 A0: 1
  143. Thu Oct 29 10:35:17 2020 A1: 3
  144. Thu Oct 29 10:35:17 2020 A2: -3
  145. Thu Oct 29 10:35:17 2020 A3: -4
  146. Thu Oct 29 10:35:17 2020 A4: 1
  147. Thu Oct 29 10:35:17 2020 A5: 1
  148. Thu Oct 29 10:35:17 2020 skew 1.00, size 1.752e-015, alpha 2.379, combined = 1.358e-012 rroots = 5
  149. Thu Oct 29 10:35:17 2020
  150. Thu Oct 29 10:35:17 2020 commencing relation filtering
  151. Thu Oct 29 10:35:17 2020 setting target matrix density to 120.0
  152. Thu Oct 29 10:35:17 2020 estimated available RAM is 16141.3 MB
  153. Thu Oct 29 10:35:17 2020 commencing duplicate removal, pass 1
  154. <70 errors>
  155. Thu Oct 29 10:50:32 2020 skipped 43 relations with b > 2^32
  156. Thu Oct 29 10:50:32 2020 skipped 39 relations with composite factors
  157. Thu Oct 29 10:50:32 2020 found 22306052 hash collisions in 140124337 relations
  158. Thu Oct 29 10:50:32 2020 commencing duplicate removal, pass 2
  159. Thu Oct 29 10:51:27 2020 found 21713888 duplicates and 118410449 unique relations
  160. Thu Oct 29 10:51:27 2020 memory use: 788.8 MB
  161. Thu Oct 29 10:51:27 2020 reading ideals above 83951616
  162. Thu Oct 29 10:51:27 2020 commencing singleton removal, initial pass
  163. Thu Oct 29 11:01:08 2020 memory use: 2756.0 MB
  164. Thu Oct 29 11:01:08 2020 reading all ideals from disk
  165. Thu Oct 29 11:01:09 2020 memory use: 1981.9 MB
  166. Thu Oct 29 11:01:12 2020 commencing in-memory singleton removal
  167. Thu Oct 29 11:01:16 2020 begin with 118410449 relations and 84958953 unique ideals
  168. Thu Oct 29 11:01:49 2020 reduce to 89569541 relations and 53930746 ideals in 11 passes
  169. Thu Oct 29 11:01:49 2020 max relations containing the same ideal: 55
  170. Thu Oct 29 11:01:54 2020 reading ideals above 720000
  171. Thu Oct 29 11:01:54 2020 commencing singleton removal, initial pass
  172. Thu Oct 29 11:10:49 2020 memory use: 1506.0 MB
  173. Thu Oct 29 11:10:49 2020 reading all ideals from disk
  174. Thu Oct 29 11:10:51 2020 memory use: 3345.9 MB
  175. Thu Oct 29 11:10:57 2020 keeping 63242421 ideals with weight <= 200, target excess is 462040
  176. Thu Oct 29 11:11:03 2020 commencing in-memory singleton removal
  177. Thu Oct 29 11:11:08 2020 begin with 89569541 relations and 63242421 unique ideals
  178. Thu Oct 29 11:11:24 2020 reduce to 89569336 relations and 63242216 ideals in 3 passes
  179. Thu Oct 29 11:11:24 2020 max relations containing the same ideal: 200
  180. Thu Oct 29 11:11:50 2020 removing 7380098 relations and 5380098 ideals in 2000000 cliques
  181. Thu Oct 29 11:11:52 2020 commencing in-memory singleton removal
  182. Thu Oct 29 11:11:57 2020 begin with 82189238 relations and 63242216 unique ideals
  183. Thu Oct 29 11:12:32 2020 reduce to 81678576 relations and 57337116 ideals in 7 passes
  184. Thu Oct 29 11:12:32 2020 max relations containing the same ideal: 196
  185. Thu Oct 29 11:12:57 2020 removing 6006492 relations and 4006492 ideals in 2000000 cliques
  186. Thu Oct 29 11:12:58 2020 commencing in-memory singleton removal
  187. Thu Oct 29 11:13:03 2020 begin with 75672084 relations and 57337116 unique ideals
  188. Thu Oct 29 11:13:34 2020 reduce to 75325942 relations and 52975749 ideals in 7 passes
  189. Thu Oct 29 11:13:34 2020 max relations containing the same ideal: 189
  190. Thu Oct 29 11:13:57 2020 removing 5620222 relations and 3620222 ideals in 2000000 cliques
  191. Thu Oct 29 11:13:58 2020 commencing in-memory singleton removal
  192. Thu Oct 29 11:14:03 2020 begin with 69705720 relations and 52975749 unique ideals
  193. Thu Oct 29 11:14:28 2020 reduce to 69406333 relations and 49048336 ideals in 6 passes
  194. Thu Oct 29 11:14:28 2020 max relations containing the same ideal: 180
  195. Thu Oct 29 11:14:48 2020 removing 5415332 relations and 3415332 ideals in 2000000 cliques
  196. Thu Oct 29 11:14:50 2020 commencing in-memory singleton removal
  197. Thu Oct 29 11:14:54 2020 begin with 63991001 relations and 49048336 unique ideals
  198. Thu Oct 29 11:15:16 2020 reduce to 63710065 relations and 45344573 ideals in 6 passes
  199. Thu Oct 29 11:15:16 2020 max relations containing the same ideal: 169
  200. Thu Oct 29 11:15:35 2020 removing 5286495 relations and 3286495 ideals in 2000000 cliques
  201. Thu Oct 29 11:15:37 2020 commencing in-memory singleton removal
  202. Thu Oct 29 11:15:40 2020 begin with 58423570 relations and 45344573 unique ideals
  203. Thu Oct 29 11:16:03 2020 reduce to 58148940 relations and 41775731 ideals in 7 passes
  204. Thu Oct 29 11:16:03 2020 max relations containing the same ideal: 162
  205. Thu Oct 29 11:16:21 2020 removing 5196519 relations and 3196519 ideals in 2000000 cliques
  206. Thu Oct 29 11:16:22 2020 commencing in-memory singleton removal
  207. Thu Oct 29 11:16:25 2020 begin with 52952421 relations and 41775731 unique ideals
  208. Thu Oct 29 11:16:43 2020 reduce to 52675212 relations and 38293613 ideals in 6 passes
  209. Thu Oct 29 11:16:43 2020 max relations containing the same ideal: 150
  210. Thu Oct 29 11:16:59 2020 removing 5130438 relations and 3130438 ideals in 2000000 cliques
  211. Thu Oct 29 11:17:00 2020 commencing in-memory singleton removal
  212. Thu Oct 29 11:17:03 2020 begin with 47544774 relations and 38293613 unique ideals
  213. Thu Oct 29 11:17:18 2020 reduce to 47258869 relations and 34867842 ideals in 6 passes
  214. Thu Oct 29 11:17:18 2020 max relations containing the same ideal: 143
  215. Thu Oct 29 11:17:33 2020 removing 5086113 relations and 3086113 ideals in 2000000 cliques
  216. Thu Oct 29 11:17:34 2020 commencing in-memory singleton removal
  217. Thu Oct 29 11:17:37 2020 begin with 42172756 relations and 34867842 unique ideals
  218. Thu Oct 29 11:17:53 2020 reduce to 41868431 relations and 31466617 ideals in 7 passes
  219. Thu Oct 29 11:17:53 2020 max relations containing the same ideal: 130
  220. Thu Oct 29 11:18:06 2020 removing 5056771 relations and 3056771 ideals in 2000000 cliques
  221. Thu Oct 29 11:18:07 2020 commencing in-memory singleton removal
  222. Thu Oct 29 11:18:09 2020 begin with 36811660 relations and 31466617 unique ideals
  223. Thu Oct 29 11:18:23 2020 reduce to 36481285 relations and 28066549 ideals in 7 passes
  224. Thu Oct 29 11:18:23 2020 max relations containing the same ideal: 119
  225. Thu Oct 29 11:18:34 2020 removing 5036001 relations and 3036001 ideals in 2000000 cliques
  226. Thu Oct 29 11:18:35 2020 commencing in-memory singleton removal
  227. Thu Oct 29 11:18:37 2020 begin with 31445284 relations and 28066549 unique ideals
  228. Thu Oct 29 11:18:47 2020 reduce to 31078918 relations and 24647926 ideals in 6 passes
  229. Thu Oct 29 11:18:47 2020 max relations containing the same ideal: 105
  230. Thu Oct 29 11:18:57 2020 removing 5023575 relations and 3023575 ideals in 2000000 cliques
  231. Thu Oct 29 11:18:58 2020 commencing in-memory singleton removal
  232. Thu Oct 29 11:18:59 2020 begin with 26055343 relations and 24647926 unique ideals
  233. Thu Oct 29 11:19:07 2020 reduce to 25637936 relations and 21185692 ideals in 6 passes
  234. Thu Oct 29 11:19:07 2020 max relations containing the same ideal: 93
  235. Thu Oct 29 11:19:16 2020 removing 5016692 relations and 3016692 ideals in 2000000 cliques
  236. Thu Oct 29 11:19:17 2020 commencing in-memory singleton removal
  237. Thu Oct 29 11:19:18 2020 begin with 20621244 relations and 21185692 unique ideals
  238. Thu Oct 29 11:19:25 2020 reduce to 20124677 relations and 17641407 ideals in 7 passes
  239. Thu Oct 29 11:19:25 2020 max relations containing the same ideal: 80
  240. Thu Oct 29 11:19:31 2020 removing 4890722 relations and 2943419 ideals in 1947303 cliques
  241. Thu Oct 29 11:19:32 2020 commencing in-memory singleton removal
  242. Thu Oct 29 11:19:33 2020 begin with 15233955 relations and 17641407 unique ideals
  243. Thu Oct 29 11:19:40 2020 reduce to 14600120 relations and 14014826 ideals in 9 passes
  244. Thu Oct 29 11:19:40 2020 max relations containing the same ideal: 66
  245. Thu Oct 29 11:19:45 2020 removing 252247 relations and 202920 ideals in 49327 cliques
  246. Thu Oct 29 11:19:45 2020 commencing in-memory singleton removal
  247. Thu Oct 29 11:19:46 2020 begin with 14347873 relations and 14014826 unique ideals
  248. Thu Oct 29 11:19:49 2020 reduce to 14343249 relations and 13807259 ideals in 5 passes
  249. Thu Oct 29 11:19:49 2020 max relations containing the same ideal: 64
  250. Thu Oct 29 11:19:51 2020 relations with 0 large ideals: 36558
  251. Thu Oct 29 11:19:51 2020 relations with 1 large ideals: 8456
  252. Thu Oct 29 11:19:51 2020 relations with 2 large ideals: 101900
  253. Thu Oct 29 11:19:51 2020 relations with 3 large ideals: 593931
  254. Thu Oct 29 11:19:51 2020 relations with 4 large ideals: 1826029
  255. Thu Oct 29 11:19:51 2020 relations with 5 large ideals: 3305081
  256. Thu Oct 29 11:19:51 2020 relations with 6 large ideals: 4230295
  257. Thu Oct 29 11:19:51 2020 relations with 7+ large ideals: 4240999
  258. Thu Oct 29 11:19:51 2020 commencing 2-way merge
  259. Thu Oct 29 11:19:57 2020 reduce to 10312395 relation sets and 9776404 unique ideals
  260. Thu Oct 29 11:19:57 2020 commencing full merge
  261. Thu Oct 29 11:25:29 2020 memory use: 456.2 MB
  262. Thu Oct 29 11:25:29 2020 found 48439 cycles, need 2299393
  263. Thu Oct 29 11:25:29 2020 too few cycles, matrix probably cannot build
  264. Thu Oct 29 11:25:46 2020
  265. Thu Oct 29 11:25:46 2020
  266. Thu Oct 29 11:25:46 2020 Msieve v. 1.53 (SVN 1005)
  267. Thu Oct 29 11:25:46 2020 random seeds: d6ebd5a0 386898e9
  268. Thu Oct 29 11:25:46 2020 factoring 345214260969900472186471282615818263491664992741010849093327280057093616455435053851131429588167773670679079896199538298851884462828964129144967421867129601740313530863336665696287636348491680001978289 (201 digits)
  269. Thu Oct 29 11:25:46 2020 searching for 15-digit factors
  270. Thu Oct 29 11:25:47 2020 commencing number field sieve (201-digit input)
  271. Thu Oct 29 11:25:47 2020 R0: 3061612474411658886319778607858436642230565082
  272. Thu Oct 29 11:25:47 2020 R1: -55331839608056218017509
  273. Thu Oct 29 11:25:47 2020 A0: 1
  274. Thu Oct 29 11:25:47 2020 A1: 3
  275. Thu Oct 29 11:25:47 2020 A2: -3
  276. Thu Oct 29 11:25:47 2020 A3: -4
  277. Thu Oct 29 11:25:47 2020 A4: 1
  278. Thu Oct 29 11:25:47 2020 A5: 1
  279. Thu Oct 29 11:25:47 2020 skew 1.00, size 1.752e-015, alpha 2.379, combined = 1.358e-012 rroots = 5
  280. Thu Oct 29 11:25:47 2020
  281. Thu Oct 29 11:25:47 2020 commencing relation filtering
  282. Thu Oct 29 11:25:47 2020 setting target matrix density to 110.0
  283. Thu Oct 29 11:25:47 2020 estimated available RAM is 16141.3 MB
  284. Thu Oct 29 11:25:47 2020 commencing duplicate removal, pass 1
  285. <70 errors>
  286. Thu Oct 29 11:40:56 2020 skipped 43 relations with b > 2^32
  287. Thu Oct 29 11:40:56 2020 skipped 39 relations with composite factors
  288. Thu Oct 29 11:40:56 2020 found 22306052 hash collisions in 140124337 relations
  289. Thu Oct 29 11:40:56 2020 commencing duplicate removal, pass 2
  290. Thu Oct 29 11:41:51 2020 found 21713888 duplicates and 118410449 unique relations
  291. Thu Oct 29 11:41:51 2020 memory use: 788.8 MB
  292. Thu Oct 29 11:41:51 2020 reading ideals above 83951616
  293. Thu Oct 29 11:41:51 2020 commencing singleton removal, initial pass
  294. Thu Oct 29 11:51:31 2020 memory use: 2756.0 MB
  295. Thu Oct 29 11:51:31 2020 reading all ideals from disk
  296. Thu Oct 29 11:51:32 2020 memory use: 1981.9 MB
  297. Thu Oct 29 11:51:35 2020 commencing in-memory singleton removal
  298. Thu Oct 29 11:51:39 2020 begin with 118410449 relations and 84958953 unique ideals
  299. Thu Oct 29 11:52:12 2020 reduce to 89569541 relations and 53930746 ideals in 11 passes
  300. Thu Oct 29 11:52:12 2020 max relations containing the same ideal: 55
  301. Thu Oct 29 11:52:17 2020 reading ideals above 720000
  302. Thu Oct 29 11:52:17 2020 commencing singleton removal, initial pass
  303. Thu Oct 29 12:01:13 2020 memory use: 1506.0 MB
  304. Thu Oct 29 12:01:13 2020 reading all ideals from disk
  305. Thu Oct 29 12:01:14 2020 memory use: 3345.9 MB
  306. Thu Oct 29 12:01:20 2020 keeping 63242421 ideals with weight <= 200, target excess is 462040
  307. Thu Oct 29 12:01:27 2020 commencing in-memory singleton removal
  308. Thu Oct 29 12:01:32 2020 begin with 89569541 relations and 63242421 unique ideals
  309. Thu Oct 29 12:01:48 2020 reduce to 89569336 relations and 63242216 ideals in 3 passes
  310. Thu Oct 29 12:01:48 2020 max relations containing the same ideal: 200
  311. Thu Oct 29 12:02:14 2020 removing 7380098 relations and 5380098 ideals in 2000000 cliques
  312. Thu Oct 29 12:02:16 2020 commencing in-memory singleton removal
  313. Thu Oct 29 12:02:21 2020 begin with 82189238 relations and 63242216 unique ideals
  314. Thu Oct 29 12:02:57 2020 reduce to 81678576 relations and 57337116 ideals in 7 passes
  315. Thu Oct 29 12:02:57 2020 max relations containing the same ideal: 196
  316. Thu Oct 29 12:03:22 2020 removing 6006492 relations and 4006492 ideals in 2000000 cliques
  317. Thu Oct 29 12:03:24 2020 commencing in-memory singleton removal
  318. Thu Oct 29 12:03:28 2020 begin with 75672084 relations and 57337116 unique ideals
  319. Thu Oct 29 12:03:59 2020 reduce to 75325942 relations and 52975749 ideals in 7 passes
  320. Thu Oct 29 12:03:59 2020 max relations containing the same ideal: 189
  321. Thu Oct 29 12:04:22 2020 removing 5620222 relations and 3620222 ideals in 2000000 cliques
  322. Thu Oct 29 12:04:24 2020 commencing in-memory singleton removal
  323. Thu Oct 29 12:04:28 2020 begin with 69705720 relations and 52975749 unique ideals
  324. Thu Oct 29 12:04:52 2020 reduce to 69406333 relations and 49048336 ideals in 6 passes
  325. Thu Oct 29 12:04:52 2020 max relations containing the same ideal: 180
  326. Thu Oct 29 12:05:13 2020 removing 5415332 relations and 3415332 ideals in 2000000 cliques
  327. Thu Oct 29 12:05:15 2020 commencing in-memory singleton removal
  328. Thu Oct 29 12:05:18 2020 begin with 63991001 relations and 49048336 unique ideals
  329. Thu Oct 29 12:05:40 2020 reduce to 63710065 relations and 45344573 ideals in 6 passes
  330. Thu Oct 29 12:05:40 2020 max relations containing the same ideal: 169
  331. Thu Oct 29 12:05:59 2020 removing 5286495 relations and 3286495 ideals in 2000000 cliques
  332. Thu Oct 29 12:06:01 2020 commencing in-memory singleton removal
  333. Thu Oct 29 12:06:04 2020 begin with 58423570 relations and 45344573 unique ideals
  334. Thu Oct 29 12:06:28 2020 reduce to 58148940 relations and 41775731 ideals in 7 passes
  335. Thu Oct 29 12:06:28 2020 max relations containing the same ideal: 162
  336. Thu Oct 29 12:06:46 2020 removing 5196519 relations and 3196519 ideals in 2000000 cliques
  337. Thu Oct 29 12:06:47 2020 commencing in-memory singleton removal
  338. Thu Oct 29 12:06:50 2020 begin with 52952421 relations and 41775731 unique ideals
  339. Thu Oct 29 12:07:08 2020 reduce to 52675212 relations and 38293613 ideals in 6 passes
  340. Thu Oct 29 12:07:08 2020 max relations containing the same ideal: 150
  341. Thu Oct 29 12:07:24 2020 removing 5130438 relations and 3130438 ideals in 2000000 cliques
  342. Thu Oct 29 12:07:26 2020 commencing in-memory singleton removal
  343. Thu Oct 29 12:07:28 2020 begin with 47544774 relations and 38293613 unique ideals
  344. Thu Oct 29 12:07:44 2020 reduce to 47258869 relations and 34867842 ideals in 6 passes
  345. Thu Oct 29 12:07:44 2020 max relations containing the same ideal: 143
  346. Thu Oct 29 12:07:58 2020 removing 5086113 relations and 3086113 ideals in 2000000 cliques
  347. Thu Oct 29 12:08:00 2020 commencing in-memory singleton removal
  348. Thu Oct 29 12:08:02 2020 begin with 42172756 relations and 34867842 unique ideals
  349. Thu Oct 29 12:08:18 2020 reduce to 41868431 relations and 31466617 ideals in 7 passes
  350. Thu Oct 29 12:08:18 2020 max relations containing the same ideal: 130
  351. Thu Oct 29 12:08:31 2020 removing 5056771 relations and 3056771 ideals in 2000000 cliques
  352. Thu Oct 29 12:08:32 2020 commencing in-memory singleton removal
  353. Thu Oct 29 12:08:34 2020 begin with 36811660 relations and 31466617 unique ideals
  354. Thu Oct 29 12:08:48 2020 reduce to 36481285 relations and 28066549 ideals in 7 passes
  355. Thu Oct 29 12:08:48 2020 max relations containing the same ideal: 119
  356. Thu Oct 29 12:08:59 2020 removing 5036001 relations and 3036001 ideals in 2000000 cliques
  357. Thu Oct 29 12:09:00 2020 commencing in-memory singleton removal
  358. Thu Oct 29 12:09:02 2020 begin with 31445284 relations and 28066549 unique ideals
  359. Thu Oct 29 12:09:12 2020 reduce to 31078918 relations and 24647926 ideals in 6 passes
  360. Thu Oct 29 12:09:12 2020 max relations containing the same ideal: 105
  361. Thu Oct 29 12:09:22 2020 removing 5023575 relations and 3023575 ideals in 2000000 cliques
  362. Thu Oct 29 12:09:23 2020 commencing in-memory singleton removal
  363. Thu Oct 29 12:09:25 2020 begin with 26055343 relations and 24647926 unique ideals
  364. Thu Oct 29 12:09:33 2020 reduce to 25637936 relations and 21185692 ideals in 6 passes
  365. Thu Oct 29 12:09:33 2020 max relations containing the same ideal: 93
  366. Thu Oct 29 12:09:41 2020 removing 5016692 relations and 3016692 ideals in 2000000 cliques
  367. Thu Oct 29 12:09:42 2020 commencing in-memory singleton removal
  368. Thu Oct 29 12:09:43 2020 begin with 20621244 relations and 21185692 unique ideals
  369. Thu Oct 29 12:09:50 2020 reduce to 20124677 relations and 17641407 ideals in 7 passes
  370. Thu Oct 29 12:09:50 2020 max relations containing the same ideal: 80
  371. Thu Oct 29 12:09:57 2020 removing 4890722 relations and 2943419 ideals in 1947303 cliques
  372. Thu Oct 29 12:09:58 2020 commencing in-memory singleton removal
  373. Thu Oct 29 12:09:59 2020 begin with 15233955 relations and 17641407 unique ideals
  374. Thu Oct 29 12:10:06 2020 reduce to 14600120 relations and 14014826 ideals in 9 passes
  375. Thu Oct 29 12:10:06 2020 max relations containing the same ideal: 66
  376. Thu Oct 29 12:10:10 2020 removing 252247 relations and 202920 ideals in 49327 cliques
  377. Thu Oct 29 12:10:11 2020 commencing in-memory singleton removal
  378. Thu Oct 29 12:10:11 2020 begin with 14347873 relations and 14014826 unique ideals
  379. Thu Oct 29 12:10:15 2020 reduce to 14343249 relations and 13807259 ideals in 5 passes
  380. Thu Oct 29 12:10:15 2020 max relations containing the same ideal: 64
  381. Thu Oct 29 12:10:17 2020 relations with 0 large ideals: 36558
  382. Thu Oct 29 12:10:17 2020 relations with 1 large ideals: 8456
  383. Thu Oct 29 12:10:17 2020 relations with 2 large ideals: 101900
  384. Thu Oct 29 12:10:17 2020 relations with 3 large ideals: 593931
  385. Thu Oct 29 12:10:17 2020 relations with 4 large ideals: 1826029
  386. Thu Oct 29 12:10:17 2020 relations with 5 large ideals: 3305081
  387. Thu Oct 29 12:10:17 2020 relations with 6 large ideals: 4230295
  388. Thu Oct 29 12:10:17 2020 relations with 7+ large ideals: 4240999
  389. Thu Oct 29 12:10:17 2020 commencing 2-way merge
  390. Thu Oct 29 12:10:23 2020 reduce to 10312395 relation sets and 9776404 unique ideals
  391. Thu Oct 29 12:10:23 2020 commencing full merge
  392. Thu Oct 29 12:13:24 2020 memory use: 1256.8 MB
  393. Thu Oct 29 12:13:25 2020 found 4667958 cycles, need 4642604
  394. Thu Oct 29 12:13:25 2020 weight of 4642604 cycles is about 511006830 (110.07/cycle)
  395. Thu Oct 29 12:13:25 2020 distribution of cycle lengths:
  396. Thu Oct 29 12:13:25 2020 1 relations: 149858
  397. Thu Oct 29 12:13:25 2020 2 relations: 252151
  398. Thu Oct 29 12:13:25 2020 3 relations: 331694
  399. Thu Oct 29 12:13:25 2020 4 relations: 365716
  400. Thu Oct 29 12:13:25 2020 5 relations: 388479
  401. Thu Oct 29 12:13:25 2020 6 relations: 387302
  402. Thu Oct 29 12:13:25 2020 7 relations: 372207
  403. Thu Oct 29 12:13:25 2020 8 relations: 345951
  404. Thu Oct 29 12:13:25 2020 9 relations: 313339
  405. Thu Oct 29 12:13:25 2020 10+ relations: 1735907
  406. Thu Oct 29 12:13:25 2020 heaviest cycle: 28 relations
  407. Thu Oct 29 12:13:27 2020 commencing cycle optimization
  408. Thu Oct 29 12:13:34 2020 start with 40497984 relations
  409. Thu Oct 29 12:14:55 2020 pruned 2233133 relations
  410. Thu Oct 29 12:14:55 2020 memory use: 1014.7 MB
  411. Thu Oct 29 12:14:55 2020 distribution of cycle lengths:
  412. Thu Oct 29 12:14:55 2020 1 relations: 149858
  413. Thu Oct 29 12:14:55 2020 2 relations: 259046
  414. Thu Oct 29 12:14:55 2020 3 relations: 347449
  415. Thu Oct 29 12:14:55 2020 4 relations: 384540
  416. Thu Oct 29 12:14:55 2020 5 relations: 413796
  417. Thu Oct 29 12:14:55 2020 6 relations: 411477
  418. Thu Oct 29 12:14:55 2020 7 relations: 396690
  419. Thu Oct 29 12:14:55 2020 8 relations: 365533
  420. Thu Oct 29 12:14:55 2020 9 relations: 328684
  421. Thu Oct 29 12:14:55 2020 10+ relations: 1585531
  422. Thu Oct 29 12:14:55 2020 heaviest cycle: 28 relations
  423. Thu Oct 29 12:14:59 2020 RelProcTime: 2952
  424. Thu Oct 29 12:14:59 2020 elapsed time 00:49:13
  425. Thu Oct 29 12:19:57 2020
  426. Thu Oct 29 12:19:57 2020
  427. Thu Oct 29 12:19:57 2020 Msieve v. 1.53 (SVN 1005)
  428. Thu Oct 29 12:19:57 2020 random seeds: c3517b40 73e0d425
  429. Thu Oct 29 12:19:57 2020 factoring 345214260969900472186471282615818263491664992741010849093327280057093616455435053851131429588167773670679079896199538298851884462828964129144967421867129601740313530863336665696287636348491680001978289 (201 digits)
  430. Thu Oct 29 12:19:57 2020 searching for 15-digit factors
  431. Thu Oct 29 12:19:58 2020 commencing number field sieve (201-digit input)
  432. Thu Oct 29 12:19:58 2020 R0: 3061612474411658886319778607858436642230565082
  433. Thu Oct 29 12:19:58 2020 R1: -55331839608056218017509
  434. Thu Oct 29 12:19:58 2020 A0: 1
  435. Thu Oct 29 12:19:58 2020 A1: 3
  436. Thu Oct 29 12:19:58 2020 A2: -3
  437. Thu Oct 29 12:19:58 2020 A3: -4
  438. Thu Oct 29 12:19:58 2020 A4: 1
  439. Thu Oct 29 12:19:58 2020 A5: 1
  440. Thu Oct 29 12:19:58 2020 skew 1.00, size 1.752e-015, alpha 2.379, combined = 1.358e-012 rroots = 5
  441. Thu Oct 29 12:19:58 2020
  442. Thu Oct 29 12:19:58 2020 commencing linear algebra
  443. Thu Oct 29 12:19:59 2020 read 4642604 cycles
  444. Thu Oct 29 12:20:06 2020 cycles contain 14097639 unique relations
  445. Thu Oct 29 12:21:21 2020 read 14097639 relations
  446. Thu Oct 29 12:21:40 2020 using 20 quadratic characters above 4294917295
  447. Thu Oct 29 12:22:36 2020 building initial matrix
  448. Thu Oct 29 12:24:47 2020 memory use: 1747.8 MB
  449. Thu Oct 29 12:24:51 2020 read 4642604 cycles
  450. Thu Oct 29 12:24:51 2020 matrix is 4642427 x 4642604 (2004.2 MB) with weight 573362344 (123.50/col)
  451. Thu Oct 29 12:24:51 2020 sparse part has weight 474327970 (102.17/col)
  452. Thu Oct 29 12:25:26 2020 filtering completed in 2 passes
  453. Thu Oct 29 12:25:27 2020 matrix is 4642255 x 4642432 (2004.2 MB) with weight 573355507 (123.50/col)
  454. Thu Oct 29 12:25:27 2020 sparse part has weight 474324999 (102.17/col)
  455. Thu Oct 29 12:25:44 2020 matrix starts at (0, 0)
  456. Thu Oct 29 12:25:44 2020 matrix is 4642255 x 4642432 (2004.2 MB) with weight 573355507 (123.50/col)
  457. Thu Oct 29 12:25:44 2020 sparse part has weight 474324999 (102.17/col)
  458. Thu Oct 29 12:25:44 2020 saving the first 48 matrix rows for later
  459. Thu Oct 29 12:25:46 2020 matrix includes 64 packed rows
  460. Thu Oct 29 12:25:46 2020 matrix is 4642207 x 4642432 (1918.1 MB) with weight 489336089 (105.41/col)
  461. Thu Oct 29 12:25:46 2020 sparse part has weight 456391522 (98.31/col)
  462. Thu Oct 29 12:25:46 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB
  463. Thu Oct 29 12:26:05 2020 commencing Lanczos iteration (12 threads)
  464. Thu Oct 29 12:26:05 2020 memory use: 1610.9 MB
  465. Thu Oct 29 12:26:14 2020 linear algebra at 0.0%, ETA 6h48m
  466. Thu Oct 29 12:26:16 2020 checkpointing every 730000 dimensions
  467. Thu Oct 29 21:27:53 2020 lanczos halted after 73413 iterations (dim = 4642206)
  468. Thu Oct 29 21:27:57 2020 recovered 35 nontrivial dependencies
  469. Thu Oct 29 21:27:58 2020 BLanczosTime: 32880
  470. Thu Oct 29 21:27:58 2020 elapsed time 09:08:01
  471. Thu Oct 29 21:59:07 2020
  472. Thu Oct 29 21:59:07 2020
  473. Thu Oct 29 21:59:07 2020 Msieve v. 1.53 (SVN 1005)
  474. Thu Oct 29 21:59:07 2020 random seeds: 4347e088 5085a1cb
  475. Thu Oct 29 21:59:07 2020 factoring 345214260969900472186471282615818263491664992741010849093327280057093616455435053851131429588167773670679079896199538298851884462828964129144967421867129601740313530863336665696287636348491680001978289 (201 digits)
  476. Thu Oct 29 21:59:08 2020 searching for 15-digit factors
  477. Thu Oct 29 21:59:08 2020 commencing number field sieve (201-digit input)
  478. Thu Oct 29 21:59:08 2020 R0: 3061612474411658886319778607858436642230565082
  479. Thu Oct 29 21:59:08 2020 R1: -55331839608056218017509
  480. Thu Oct 29 21:59:08 2020 A0: 1
  481. Thu Oct 29 21:59:08 2020 A1: 3
  482. Thu Oct 29 21:59:08 2020 A2: -3
  483. Thu Oct 29 21:59:08 2020 A3: -4
  484. Thu Oct 29 21:59:08 2020 A4: 1
  485. Thu Oct 29 21:59:08 2020 A5: 1
  486. Thu Oct 29 21:59:08 2020 skew 1.00, size 1.752e-015, alpha 2.379, combined = 1.358e-012 rroots = 5
  487. Thu Oct 29 21:59:08 2020
  488. Thu Oct 29 21:59:08 2020 commencing square root phase
  489. Thu Oct 29 21:59:08 2020 reading relations for dependency 1
  490. Thu Oct 29 21:59:09 2020 read 2321469 cycles
  491. Thu Oct 29 21:59:12 2020 cycles contain 7051718 unique relations
  492. Thu Oct 29 21:59:59 2020 read 7051718 relations
  493. Thu Oct 29 22:00:24 2020 multiplying 7051718 relations
  494. Thu Oct 29 22:02:51 2020 multiply complete, coefficients have about 174.20 million bits
  495. Thu Oct 29 22:02:52 2020 initial square root is modulo 1784767
  496. Thu Oct 29 22:05:26 2020 GCD is N, no factor found
  497. Thu Oct 29 22:05:26 2020 reading relations for dependency 2
  498. Thu Oct 29 22:05:26 2020 read 2321178 cycles
  499. Thu Oct 29 22:05:30 2020 cycles contain 7046716 unique relations
  500. Thu Oct 29 22:06:17 2020 read 7046716 relations
  501. Thu Oct 29 22:06:43 2020 multiplying 7046716 relations
  502. Thu Oct 29 22:09:10 2020 multiply complete, coefficients have about 174.07 million bits
  503. Thu Oct 29 22:09:10 2020 initial square root is modulo 1766537
  504. Thu Oct 29 22:11:44 2020 sqrtTime: 756
  505. Thu Oct 29 22:11:44 2020 p58 factor: 3802646817610203227533918268531415318430147930201954335037
  506. Thu Oct 29 22:11:44 2020 p143 factor: 90782625241765812210044019648210584652016019639009602327039158083426037448241385874077978002831200962970867171333065206549227840527532862648197
  507. Thu Oct 29 22:11:44 2020 elapsed time 00:12:37
  508.  
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