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L2995A linear algebra log

Jan 30th, 2021
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  1. Mon Jan 18 19:42:56 2021
  2. Mon Jan 18 19:42:56 2021
  3. Mon Jan 18 19:42:56 2021 Msieve v. 1.54 (SVN 1030M)
  4. Mon Jan 18 19:42:56 2021 random seeds: fd363359 32adac48
  5. Mon Jan 18 19:42:56 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  6. Mon Jan 18 19:42:56 2021 no P-1/P+1/ECM available, skipping
  7. Mon Jan 18 19:42:56 2021 commencing number field sieve (211-digit input)
  8. Mon Jan 18 19:42:56 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  9. Mon Jan 18 19:42:56 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  10. Mon Jan 18 19:42:56 2021 A0: 1
  11. Mon Jan 18 19:42:56 2021 A1: -1
  12. Mon Jan 18 19:42:56 2021 A2: 6
  13. Mon Jan 18 19:42:56 2021 A3: -6
  14. Mon Jan 18 19:42:56 2021 A4: 11
  15. Mon Jan 18 19:42:56 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  16. Mon Jan 18 19:42:56 2021
  17. Mon Jan 18 19:42:56 2021 commencing relation filtering
  18. Mon Jan 18 19:42:56 2021 setting target matrix density to 90.0
  19. Mon Jan 18 19:42:56 2021 estimated available RAM is 64023.8 MB
  20. Mon Jan 18 19:42:56 2021 commencing duplicate removal, pass 1
  21. Mon Jan 18 19:56:31 2021 error -11 reading relation 135072061
  22. Mon Jan 18 19:59:05 2021 error -6 reading relation 160769704
  23. Mon Jan 18 20:10:22 2021 error -11 reading relation 270486914
  24. Mon Jan 18 20:12:28 2021 error -11 reading relation 285812669
  25. Mon Jan 18 20:16:36 2021 error -6 reading relation 309348318
  26. Mon Jan 18 20:16:36 2021 error -1 reading relation 309348319
  27. Mon Jan 18 20:17:01 2021 error -11 reading relation 311854402
  28. Mon Jan 18 20:17:51 2021 error -11 reading relation 316662016
  29. Mon Jan 18 20:19:14 2021 error -6 reading relation 324650420
  30. Mon Jan 18 20:19:14 2021 error -1 reading relation 324650421
  31. Mon Jan 18 20:19:14 2021 skipped 218454 relations with b > 2^32
  32. Mon Jan 18 20:19:14 2021 skipped 1 relations with composite factors
  33. Mon Jan 18 20:19:14 2021 found 22227054 hash collisions in 324431957 relations
  34. Mon Jan 18 20:19:22 2021 added 3657740 free relations
  35. Mon Jan 18 20:19:22 2021 commencing duplicate removal, pass 2
  36. Mon Jan 18 20:21:24 2021 found 0 duplicates and 328089697 unique relations
  37. Mon Jan 18 20:21:24 2021 memory use: 1257.5 MB
  38. Mon Jan 18 20:21:24 2021 reading ideals above 309919744
  39. Mon Jan 18 20:21:24 2021 commencing singleton removal, initial pass
  40. Mon Jan 18 21:10:11 2021 memory use: 6024.0 MB
  41. Mon Jan 18 21:10:11 2021 reading all ideals from disk
  42. Mon Jan 18 21:10:17 2021 memory use: 5974.2 MB
  43. Mon Jan 18 21:10:47 2021 commencing in-memory singleton removal
  44. Mon Jan 18 21:11:15 2021 begin with 328089697 relations and 297489160 unique ideals
  45. Mon Jan 18 21:18:21 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  46. Mon Jan 18 21:18:21 2021 max relations containing the same ideal: 45
  47. Mon Jan 18 21:18:40 2021 reading ideals above 720000
  48. Mon Jan 18 21:18:41 2021 commencing singleton removal, initial pass
  49. Mon Jan 18 22:01:02 2021 memory use: 5512.0 MB
  50. Mon Jan 18 22:01:02 2021 reading all ideals from disk
  51. Mon Jan 18 22:01:12 2021 memory use: 8323.2 MB
  52. Mon Jan 18 22:01:56 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  53. Mon Jan 18 22:02:47 2021 commencing in-memory singleton removal
  54. Mon Jan 18 22:03:22 2021 begin with 190143096 relations and 175988858 unique ideals
  55. Mon Jan 18 22:11:32 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  56. Mon Jan 18 22:11:32 2021 max relations containing the same ideal: 200
  57. Mon Jan 18 22:14:52 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  58. Mon Jan 18 22:14:58 2021 commencing in-memory singleton removal
  59. Mon Jan 18 22:15:30 2021 begin with 173590386 relations and 175745796 unique ideals
  60. Mon Jan 18 22:21:46 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  61. Mon Jan 18 22:21:46 2021 max relations containing the same ideal: 196
  62. Mon Jan 18 22:24:47 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  63. Mon Jan 18 22:24:52 2021 commencing in-memory singleton removal
  64. Mon Jan 18 22:25:21 2021 begin with 159975989 relations and 160117061 unique ideals
  65. Mon Jan 18 22:29:46 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  66. Mon Jan 18 22:29:46 2021 max relations containing the same ideal: 188
  67. Mon Jan 18 22:32:20 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  68. Mon Jan 18 22:32:25 2021 commencing in-memory singleton removal
  69. Mon Jan 18 22:32:50 2021 begin with 148038444 relations and 148963412 unique ideals
  70. Mon Jan 18 22:36:44 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  71. Mon Jan 18 22:36:44 2021 max relations containing the same ideal: 182
  72. Mon Jan 18 22:39:13 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  73. Mon Jan 18 22:39:18 2021 commencing in-memory singleton removal
  74. Mon Jan 18 22:39:41 2021 begin with 136792459 relations and 139108872 unique ideals
  75. Mon Jan 18 22:42:55 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  76. Mon Jan 18 22:42:55 2021 max relations containing the same ideal: 171
  77. Mon Jan 18 22:45:11 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  78. Mon Jan 18 22:45:15 2021 commencing in-memory singleton removal
  79. Mon Jan 18 22:45:35 2021 begin with 125918113 relations and 129881900 unique ideals
  80. Mon Jan 18 22:48:57 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  81. Mon Jan 18 22:48:57 2021 max relations containing the same ideal: 160
  82. Mon Jan 18 22:51:05 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  83. Mon Jan 18 22:51:10 2021 commencing in-memory singleton removal
  84. Mon Jan 18 22:51:30 2021 begin with 115235877 relations and 120992180 unique ideals
  85. Mon Jan 18 22:54:12 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  86. Mon Jan 18 22:54:12 2021 max relations containing the same ideal: 153
  87. Mon Jan 18 22:56:08 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  88. Mon Jan 18 22:56:11 2021 commencing in-memory singleton removal
  89. Mon Jan 18 22:56:27 2021 begin with 108503484 relations and 112269434 unique ideals
  90. Mon Jan 18 22:58:55 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  91. Mon Jan 18 22:58:55 2021 max relations containing the same ideal: 148
  92. Mon Jan 18 23:01:02 2021 relations with 0 large ideals: 79228
  93. Mon Jan 18 23:01:02 2021 relations with 1 large ideals: 6298
  94. Mon Jan 18 23:01:02 2021 relations with 2 large ideals: 52284
  95. Mon Jan 18 23:01:02 2021 relations with 3 large ideals: 488372
  96. Mon Jan 18 23:01:02 2021 relations with 4 large ideals: 2769716
  97. Mon Jan 18 23:01:02 2021 relations with 5 large ideals: 12487669
  98. Mon Jan 18 23:01:02 2021 relations with 6 large ideals: 20000825
  99. Mon Jan 18 23:01:02 2021 relations with 7+ large ideals: 72344509
  100. Mon Jan 18 23:01:02 2021 commencing 2-way merge
  101. Mon Jan 18 23:03:18 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  102. Mon Jan 18 23:03:19 2021 commencing full merge
  103. Mon Jan 18 23:46:11 2021 memory use: 8658.2 MB
  104. Mon Jan 18 23:46:23 2021 found 33325046 cycles, need 33216611
  105. Mon Jan 18 23:46:41 2021 weight of 33216611 cycles is about 2989707019 (90.01/cycle)
  106. Mon Jan 18 23:46:42 2021 distribution of cycle lengths:
  107. Mon Jan 18 23:46:42 2021 1 relations: 3903995
  108. Mon Jan 18 23:46:42 2021 2 relations: 3394997
  109. Mon Jan 18 23:46:42 2021 3 relations: 3157414
  110. Mon Jan 18 23:46:42 2021 4 relations: 2938408
  111. Mon Jan 18 23:46:42 2021 5 relations: 2715852
  112. Mon Jan 18 23:46:42 2021 6 relations: 2472787
  113. Mon Jan 18 23:46:42 2021 7 relations: 2208843
  114. Mon Jan 18 23:46:42 2021 8 relations: 1984126
  115. Mon Jan 18 23:46:42 2021 9 relations: 1775339
  116. Mon Jan 18 23:46:42 2021 10+ relations: 8664850
  117. Mon Jan 18 23:46:42 2021 heaviest cycle: 28 relations
  118. Mon Jan 18 23:46:56 2021 commencing cycle optimization
  119. Mon Jan 18 23:48:45 2021 start with 225504345 relations
  120. Mon Jan 18 23:59:45 2021 pruned 6880438 relations
  121. Mon Jan 18 23:59:49 2021 memory use: 6751.2 MB
  122. Mon Jan 18 23:59:49 2021 distribution of cycle lengths:
  123. Mon Jan 18 23:59:49 2021 1 relations: 3903995
  124. Mon Jan 18 23:59:49 2021 2 relations: 3463160
  125. Mon Jan 18 23:59:49 2021 3 relations: 3275981
  126. Mon Jan 18 23:59:49 2021 4 relations: 3028768
  127. Mon Jan 18 23:59:49 2021 5 relations: 2806046
  128. Mon Jan 18 23:59:49 2021 6 relations: 2530692
  129. Mon Jan 18 23:59:49 2021 7 relations: 2261401
  130. Mon Jan 18 23:59:49 2021 8 relations: 2014003
  131. Mon Jan 18 23:59:49 2021 9 relations: 1791738
  132. Mon Jan 18 23:59:49 2021 10+ relations: 8140827
  133. Mon Jan 18 23:59:49 2021 heaviest cycle: 28 relations
  134. Tue Jan 19 00:01:42 2021 RelProcTime: 15526
  135. Tue Jan 19 00:01:42 2021 elapsed time 04:18:46
  136. Tue Jan 19 00:01:44 2021
  137. Tue Jan 19 00:01:44 2021
  138. Tue Jan 19 00:01:44 2021 Msieve v. 1.54 (SVN 1030M)
  139. Tue Jan 19 00:01:44 2021 random seeds: a058201e f6fbb0a6
  140. Tue Jan 19 00:01:44 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  141. Tue Jan 19 00:01:45 2021 no P-1/P+1/ECM available, skipping
  142. Tue Jan 19 00:01:45 2021 commencing number field sieve (211-digit input)
  143. Tue Jan 19 00:01:45 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  144. Tue Jan 19 00:01:45 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  145. Tue Jan 19 00:01:45 2021 A0: 1
  146. Tue Jan 19 00:01:45 2021 A1: -1
  147. Tue Jan 19 00:01:45 2021 A2: 6
  148. Tue Jan 19 00:01:45 2021 A3: -6
  149. Tue Jan 19 00:01:45 2021 A4: 11
  150. Tue Jan 19 00:01:45 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  151. Tue Jan 19 00:01:45 2021
  152. Tue Jan 19 00:01:45 2021 commencing relation filtering
  153. Tue Jan 19 00:01:45 2021 setting target matrix density to 122.0
  154. Tue Jan 19 00:01:45 2021 estimated available RAM is 64023.8 MB
  155. Tue Jan 19 00:01:45 2021 commencing duplicate removal, pass 1
  156. Tue Jan 19 00:25:31 2021 error -11 reading relation 135072061
  157. Tue Jan 19 00:30:01 2021 error -6 reading relation 160769704
  158. Tue Jan 19 00:49:31 2021 error -11 reading relation 270486914
  159. Tue Jan 19 00:52:14 2021 error -11 reading relation 285812669
  160. Tue Jan 19 00:56:28 2021 error -6 reading relation 309348318
  161. Tue Jan 19 00:56:28 2021 error -1 reading relation 309348319
  162. Tue Jan 19 00:56:54 2021 error -11 reading relation 311854402
  163. Tue Jan 19 00:57:46 2021 error -11 reading relation 316662016
  164. Tue Jan 19 00:59:10 2021 error -6 reading relation 324650420
  165. Tue Jan 19 00:59:10 2021 error -1 reading relation 324650421
  166. Tue Jan 19 00:59:41 2021 skipped 218454 relations with b > 2^32
  167. Tue Jan 19 00:59:41 2021 skipped 1 relations with composite factors
  168. Tue Jan 19 00:59:41 2021 found 22702620 hash collisions in 328089697 relations
  169. Tue Jan 19 00:59:41 2021 commencing duplicate removal, pass 2
  170. Tue Jan 19 01:02:38 2021 found 0 duplicates and 328089697 unique relations
  171. Tue Jan 19 01:02:38 2021 memory use: 1257.5 MB
  172. Tue Jan 19 01:02:38 2021 reading ideals above 309919744
  173. Tue Jan 19 01:02:38 2021 commencing singleton removal, initial pass
  174. Tue Jan 19 01:50:41 2021 memory use: 6024.0 MB
  175. Tue Jan 19 01:50:41 2021 reading all ideals from disk
  176. Tue Jan 19 01:50:47 2021 memory use: 5974.2 MB
  177. Tue Jan 19 01:51:15 2021 commencing in-memory singleton removal
  178. Tue Jan 19 01:51:43 2021 begin with 328089697 relations and 297489160 unique ideals
  179. Tue Jan 19 01:58:44 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  180. Tue Jan 19 01:58:44 2021 max relations containing the same ideal: 45
  181. Tue Jan 19 01:59:02 2021 reading ideals above 720000
  182. Tue Jan 19 01:59:02 2021 commencing singleton removal, initial pass
  183. Tue Jan 19 02:42:33 2021 memory use: 5512.0 MB
  184. Tue Jan 19 02:42:34 2021 reading all ideals from disk
  185. Tue Jan 19 02:42:43 2021 memory use: 8323.2 MB
  186. Tue Jan 19 02:43:27 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  187. Tue Jan 19 02:44:19 2021 commencing in-memory singleton removal
  188. Tue Jan 19 02:44:53 2021 begin with 190143096 relations and 175988858 unique ideals
  189. Tue Jan 19 02:52:54 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  190. Tue Jan 19 02:52:54 2021 max relations containing the same ideal: 200
  191. Tue Jan 19 02:56:15 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  192. Tue Jan 19 02:56:21 2021 commencing in-memory singleton removal
  193. Tue Jan 19 02:56:52 2021 begin with 173590386 relations and 175745796 unique ideals
  194. Tue Jan 19 03:02:44 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  195. Tue Jan 19 03:02:44 2021 max relations containing the same ideal: 196
  196. Tue Jan 19 03:05:19 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  197. Tue Jan 19 03:05:24 2021 commencing in-memory singleton removal
  198. Tue Jan 19 03:05:46 2021 begin with 159975989 relations and 160117061 unique ideals
  199. Tue Jan 19 03:09:40 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  200. Tue Jan 19 03:09:40 2021 max relations containing the same ideal: 188
  201. Tue Jan 19 03:12:03 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  202. Tue Jan 19 03:12:08 2021 commencing in-memory singleton removal
  203. Tue Jan 19 03:12:29 2021 begin with 148038444 relations and 148963412 unique ideals
  204. Tue Jan 19 03:16:08 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  205. Tue Jan 19 03:16:08 2021 max relations containing the same ideal: 182
  206. Tue Jan 19 03:18:21 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  207. Tue Jan 19 03:18:25 2021 commencing in-memory singleton removal
  208. Tue Jan 19 03:18:46 2021 begin with 136792459 relations and 139108872 unique ideals
  209. Tue Jan 19 03:21:52 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  210. Tue Jan 19 03:21:52 2021 max relations containing the same ideal: 171
  211. Tue Jan 19 03:24:00 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  212. Tue Jan 19 03:24:05 2021 commencing in-memory singleton removal
  213. Tue Jan 19 03:24:25 2021 begin with 125918113 relations and 129881900 unique ideals
  214. Tue Jan 19 03:27:31 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  215. Tue Jan 19 03:27:31 2021 max relations containing the same ideal: 160
  216. Tue Jan 19 03:29:27 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  217. Tue Jan 19 03:29:31 2021 commencing in-memory singleton removal
  218. Tue Jan 19 03:29:48 2021 begin with 115235877 relations and 120992180 unique ideals
  219. Tue Jan 19 03:32:12 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  220. Tue Jan 19 03:32:12 2021 max relations containing the same ideal: 153
  221. Tue Jan 19 03:34:01 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  222. Tue Jan 19 03:34:04 2021 commencing in-memory singleton removal
  223. Tue Jan 19 03:34:21 2021 begin with 108503484 relations and 112269434 unique ideals
  224. Tue Jan 19 03:36:49 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  225. Tue Jan 19 03:36:49 2021 max relations containing the same ideal: 148
  226. Tue Jan 19 03:38:58 2021 relations with 0 large ideals: 79228
  227. Tue Jan 19 03:38:58 2021 relations with 1 large ideals: 6298
  228. Tue Jan 19 03:38:58 2021 relations with 2 large ideals: 52284
  229. Tue Jan 19 03:38:58 2021 relations with 3 large ideals: 488372
  230. Tue Jan 19 03:38:58 2021 relations with 4 large ideals: 2769716
  231. Tue Jan 19 03:38:58 2021 relations with 5 large ideals: 12487669
  232. Tue Jan 19 03:38:58 2021 relations with 6 large ideals: 20000825
  233. Tue Jan 19 03:38:58 2021 relations with 7+ large ideals: 72344509
  234. Tue Jan 19 03:38:58 2021 commencing 2-way merge
  235. Tue Jan 19 03:41:13 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  236. Tue Jan 19 03:41:13 2021 commencing full merge
  237. Tue Jan 19 05:21:38 2021 memory use: 3129.2 MB
  238. Tue Jan 19 05:21:38 2021 found 395874 cycles, need 14342121
  239. Tue Jan 19 05:21:39 2021 too few cycles, matrix probably cannot build
  240. Tue Jan 19 05:21:39 2021 filtering wants 1000000 more relations
  241. Tue Jan 19 05:21:39 2021 elapsed time 05:19:55
  242. Tue Jan 19 05:21:40 2021
  243. Tue Jan 19 05:21:40 2021
  244. Tue Jan 19 05:21:40 2021 Msieve v. 1.54 (SVN 1030M)
  245. Tue Jan 19 05:21:40 2021 random seeds: 31ab858e 041c8893
  246. Tue Jan 19 05:21:40 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  247. Tue Jan 19 05:21:41 2021 no P-1/P+1/ECM available, skipping
  248. Tue Jan 19 05:21:41 2021 commencing number field sieve (211-digit input)
  249. Tue Jan 19 05:21:41 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  250. Tue Jan 19 05:21:41 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  251. Tue Jan 19 05:21:41 2021 A0: 1
  252. Tue Jan 19 05:21:41 2021 A1: -1
  253. Tue Jan 19 05:21:41 2021 A2: 6
  254. Tue Jan 19 05:21:41 2021 A3: -6
  255. Tue Jan 19 05:21:41 2021 A4: 11
  256. Tue Jan 19 05:21:41 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  257. Tue Jan 19 05:21:41 2021
  258. Tue Jan 19 05:21:41 2021 commencing relation filtering
  259. Tue Jan 19 05:21:41 2021 setting target matrix density to 106.0
  260. Tue Jan 19 05:21:41 2021 estimated available RAM is 64023.8 MB
  261. Tue Jan 19 05:21:41 2021 commencing duplicate removal, pass 1
  262. Tue Jan 19 05:41:48 2021 error -11 reading relation 135072061
  263. Tue Jan 19 05:46:13 2021 error -6 reading relation 160769704
  264. Tue Jan 19 06:04:37 2021 error -11 reading relation 270486914
  265. Tue Jan 19 06:07:08 2021 error -11 reading relation 285812669
  266. Tue Jan 19 06:10:58 2021 error -6 reading relation 309348318
  267. Tue Jan 19 06:10:58 2021 error -1 reading relation 309348319
  268. Tue Jan 19 06:11:22 2021 error -11 reading relation 311854402
  269. Tue Jan 19 06:12:08 2021 error -11 reading relation 316662016
  270. Tue Jan 19 06:13:23 2021 error -6 reading relation 324650420
  271. Tue Jan 19 06:13:23 2021 error -1 reading relation 324650421
  272. Tue Jan 19 06:13:51 2021 skipped 218454 relations with b > 2^32
  273. Tue Jan 19 06:13:51 2021 skipped 1 relations with composite factors
  274. Tue Jan 19 06:13:51 2021 found 22702620 hash collisions in 328089697 relations
  275. Tue Jan 19 06:13:51 2021 commencing duplicate removal, pass 2
  276. Tue Jan 19 06:15:57 2021 found 0 duplicates and 328089697 unique relations
  277. Tue Jan 19 06:15:57 2021 memory use: 1257.5 MB
  278. Tue Jan 19 06:15:57 2021 reading ideals above 309919744
  279. Tue Jan 19 06:15:57 2021 commencing singleton removal, initial pass
  280. Tue Jan 19 06:40:37 2021 memory use: 6024.0 MB
  281. Tue Jan 19 06:40:37 2021 reading all ideals from disk
  282. Tue Jan 19 06:40:39 2021 memory use: 5974.2 MB
  283. Tue Jan 19 06:40:53 2021 commencing in-memory singleton removal
  284. Tue Jan 19 06:41:06 2021 begin with 328089697 relations and 297489160 unique ideals
  285. Tue Jan 19 06:43:45 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  286. Tue Jan 19 06:43:45 2021 max relations containing the same ideal: 45
  287. Tue Jan 19 06:43:54 2021 reading ideals above 720000
  288. Tue Jan 19 06:43:54 2021 commencing singleton removal, initial pass
  289. Tue Jan 19 07:02:52 2021 memory use: 5512.0 MB
  290. Tue Jan 19 07:02:52 2021 reading all ideals from disk
  291. Tue Jan 19 07:02:55 2021 memory use: 8323.2 MB
  292. Tue Jan 19 07:03:22 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  293. Tue Jan 19 07:03:49 2021 commencing in-memory singleton removal
  294. Tue Jan 19 07:04:11 2021 begin with 190143096 relations and 175988858 unique ideals
  295. Tue Jan 19 07:08:25 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  296. Tue Jan 19 07:08:25 2021 max relations containing the same ideal: 200
  297. Tue Jan 19 07:10:12 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  298. Tue Jan 19 07:10:16 2021 commencing in-memory singleton removal
  299. Tue Jan 19 07:10:35 2021 begin with 173590386 relations and 175745796 unique ideals
  300. Tue Jan 19 07:13:51 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  301. Tue Jan 19 07:13:51 2021 max relations containing the same ideal: 196
  302. Tue Jan 19 07:15:28 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  303. Tue Jan 19 07:15:31 2021 commencing in-memory singleton removal
  304. Tue Jan 19 07:15:49 2021 begin with 159975989 relations and 160117061 unique ideals
  305. Tue Jan 19 07:18:16 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  306. Tue Jan 19 07:18:16 2021 max relations containing the same ideal: 188
  307. Tue Jan 19 07:19:46 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  308. Tue Jan 19 07:19:49 2021 commencing in-memory singleton removal
  309. Tue Jan 19 07:20:06 2021 begin with 148038444 relations and 148963412 unique ideals
  310. Tue Jan 19 07:22:22 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  311. Tue Jan 19 07:22:22 2021 max relations containing the same ideal: 182
  312. Tue Jan 19 07:23:46 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  313. Tue Jan 19 07:23:49 2021 commencing in-memory singleton removal
  314. Tue Jan 19 07:24:04 2021 begin with 136792459 relations and 139108872 unique ideals
  315. Tue Jan 19 07:25:55 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  316. Tue Jan 19 07:25:55 2021 max relations containing the same ideal: 171
  317. Tue Jan 19 07:27:13 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  318. Tue Jan 19 07:27:16 2021 commencing in-memory singleton removal
  319. Tue Jan 19 07:27:30 2021 begin with 125918113 relations and 129881900 unique ideals
  320. Tue Jan 19 07:29:24 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  321. Tue Jan 19 07:29:24 2021 max relations containing the same ideal: 160
  322. Tue Jan 19 07:30:36 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  323. Tue Jan 19 07:30:39 2021 commencing in-memory singleton removal
  324. Tue Jan 19 07:30:51 2021 begin with 115235877 relations and 120992180 unique ideals
  325. Tue Jan 19 07:32:24 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  326. Tue Jan 19 07:32:24 2021 max relations containing the same ideal: 153
  327. Tue Jan 19 07:33:30 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  328. Tue Jan 19 07:33:32 2021 commencing in-memory singleton removal
  329. Tue Jan 19 07:33:44 2021 begin with 108503484 relations and 112269434 unique ideals
  330. Tue Jan 19 07:35:11 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  331. Tue Jan 19 07:35:11 2021 max relations containing the same ideal: 148
  332. Tue Jan 19 07:36:27 2021 relations with 0 large ideals: 79228
  333. Tue Jan 19 07:36:27 2021 relations with 1 large ideals: 6298
  334. Tue Jan 19 07:36:27 2021 relations with 2 large ideals: 52284
  335. Tue Jan 19 07:36:27 2021 relations with 3 large ideals: 488372
  336. Tue Jan 19 07:36:27 2021 relations with 4 large ideals: 2769716
  337. Tue Jan 19 07:36:27 2021 relations with 5 large ideals: 12487669
  338. Tue Jan 19 07:36:27 2021 relations with 6 large ideals: 20000825
  339. Tue Jan 19 07:36:27 2021 relations with 7+ large ideals: 72344509
  340. Tue Jan 19 07:36:27 2021 commencing 2-way merge
  341. Tue Jan 19 07:37:54 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  342. Tue Jan 19 07:37:54 2021 commencing full merge
  343. Tue Jan 19 08:32:30 2021 memory use: 3129.2 MB
  344. Tue Jan 19 08:32:30 2021 found 395874 cycles, need 14342121
  345. Tue Jan 19 08:32:30 2021 too few cycles, matrix probably cannot build
  346. Tue Jan 19 08:32:31 2021 filtering wants 1000000 more relations
  347. Tue Jan 19 08:32:31 2021 elapsed time 03:10:51
  348. Tue Jan 19 08:32:31 2021
  349. Tue Jan 19 08:32:31 2021
  350. Tue Jan 19 08:32:31 2021 Msieve v. 1.54 (SVN 1030M)
  351. Tue Jan 19 08:32:31 2021 random seeds: 4a1fd479 0adcb9a6
  352. Tue Jan 19 08:32:31 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  353. Tue Jan 19 08:32:32 2021 no P-1/P+1/ECM available, skipping
  354. Tue Jan 19 08:32:32 2021 commencing number field sieve (211-digit input)
  355. Tue Jan 19 08:32:32 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  356. Tue Jan 19 08:32:32 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  357. Tue Jan 19 08:32:32 2021 A0: 1
  358. Tue Jan 19 08:32:32 2021 A1: -1
  359. Tue Jan 19 08:32:32 2021 A2: 6
  360. Tue Jan 19 08:32:32 2021 A3: -6
  361. Tue Jan 19 08:32:32 2021 A4: 11
  362. Tue Jan 19 08:32:32 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  363. Tue Jan 19 08:32:32 2021
  364. Tue Jan 19 08:32:32 2021 commencing relation filtering
  365. Tue Jan 19 08:32:32 2021 setting target matrix density to 98.0
  366. Tue Jan 19 08:32:32 2021 estimated available RAM is 64023.8 MB
  367. Tue Jan 19 08:32:32 2021 commencing duplicate removal, pass 1
  368. Tue Jan 19 08:45:44 2021 error -11 reading relation 135072061
  369. Tue Jan 19 08:48:15 2021 error -6 reading relation 160769704
  370. Tue Jan 19 08:58:57 2021 error -11 reading relation 270486914
  371. Tue Jan 19 09:00:27 2021 error -11 reading relation 285812669
  372. Tue Jan 19 09:02:45 2021 error -6 reading relation 309348318
  373. Tue Jan 19 09:02:45 2021 error -1 reading relation 309348319
  374. Tue Jan 19 09:02:59 2021 error -11 reading relation 311854402
  375. Tue Jan 19 09:03:27 2021 error -11 reading relation 316662016
  376. Tue Jan 19 09:04:14 2021 error -6 reading relation 324650420
  377. Tue Jan 19 09:04:14 2021 error -1 reading relation 324650421
  378. Tue Jan 19 09:04:34 2021 skipped 218454 relations with b > 2^32
  379. Tue Jan 19 09:04:34 2021 skipped 1 relations with composite factors
  380. Tue Jan 19 09:04:34 2021 found 22702620 hash collisions in 328089697 relations
  381. Tue Jan 19 09:04:34 2021 commencing duplicate removal, pass 2
  382. Tue Jan 19 09:05:54 2021 found 0 duplicates and 328089697 unique relations
  383. Tue Jan 19 09:05:54 2021 memory use: 1257.5 MB
  384. Tue Jan 19 09:05:54 2021 reading ideals above 309919744
  385. Tue Jan 19 09:05:54 2021 commencing singleton removal, initial pass
  386. Tue Jan 19 09:28:35 2021 memory use: 6024.0 MB
  387. Tue Jan 19 09:28:35 2021 reading all ideals from disk
  388. Tue Jan 19 09:28:37 2021 memory use: 5974.2 MB
  389. Tue Jan 19 09:28:52 2021 commencing in-memory singleton removal
  390. Tue Jan 19 09:29:06 2021 begin with 328089697 relations and 297489160 unique ideals
  391. Tue Jan 19 09:32:01 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  392. Tue Jan 19 09:32:01 2021 max relations containing the same ideal: 45
  393. Tue Jan 19 09:32:11 2021 reading ideals above 720000
  394. Tue Jan 19 09:32:11 2021 commencing singleton removal, initial pass
  395. Tue Jan 19 09:50:57 2021 memory use: 5512.0 MB
  396. Tue Jan 19 09:50:58 2021 reading all ideals from disk
  397. Tue Jan 19 09:51:01 2021 memory use: 8323.2 MB
  398. Tue Jan 19 09:51:27 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  399. Tue Jan 19 09:51:54 2021 commencing in-memory singleton removal
  400. Tue Jan 19 09:52:16 2021 begin with 190143096 relations and 175988858 unique ideals
  401. Tue Jan 19 09:56:26 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  402. Tue Jan 19 09:56:26 2021 max relations containing the same ideal: 200
  403. Tue Jan 19 09:58:11 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  404. Tue Jan 19 09:58:15 2021 commencing in-memory singleton removal
  405. Tue Jan 19 09:58:34 2021 begin with 173590386 relations and 175745796 unique ideals
  406. Tue Jan 19 10:01:47 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  407. Tue Jan 19 10:01:47 2021 max relations containing the same ideal: 196
  408. Tue Jan 19 10:03:23 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  409. Tue Jan 19 10:03:26 2021 commencing in-memory singleton removal
  410. Tue Jan 19 10:03:44 2021 begin with 159975989 relations and 160117061 unique ideals
  411. Tue Jan 19 10:06:09 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  412. Tue Jan 19 10:06:09 2021 max relations containing the same ideal: 188
  413. Tue Jan 19 10:07:38 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  414. Tue Jan 19 10:07:41 2021 commencing in-memory singleton removal
  415. Tue Jan 19 10:07:57 2021 begin with 148038444 relations and 148963412 unique ideals
  416. Tue Jan 19 10:10:11 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  417. Tue Jan 19 10:10:11 2021 max relations containing the same ideal: 182
  418. Tue Jan 19 10:11:34 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  419. Tue Jan 19 10:11:36 2021 commencing in-memory singleton removal
  420. Tue Jan 19 10:11:52 2021 begin with 136792459 relations and 139108872 unique ideals
  421. Tue Jan 19 10:13:41 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  422. Tue Jan 19 10:13:41 2021 max relations containing the same ideal: 171
  423. Tue Jan 19 10:14:58 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  424. Tue Jan 19 10:15:01 2021 commencing in-memory singleton removal
  425. Tue Jan 19 10:15:14 2021 begin with 125918113 relations and 129881900 unique ideals
  426. Tue Jan 19 10:17:07 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  427. Tue Jan 19 10:17:07 2021 max relations containing the same ideal: 160
  428. Tue Jan 19 10:18:18 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  429. Tue Jan 19 10:18:20 2021 commencing in-memory singleton removal
  430. Tue Jan 19 10:18:33 2021 begin with 115235877 relations and 120992180 unique ideals
  431. Tue Jan 19 10:20:04 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  432. Tue Jan 19 10:20:04 2021 max relations containing the same ideal: 153
  433. Tue Jan 19 10:21:09 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  434. Tue Jan 19 10:21:12 2021 commencing in-memory singleton removal
  435. Tue Jan 19 10:21:23 2021 begin with 108503484 relations and 112269434 unique ideals
  436. Tue Jan 19 10:22:49 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  437. Tue Jan 19 10:22:49 2021 max relations containing the same ideal: 148
  438. Tue Jan 19 10:24:04 2021 relations with 0 large ideals: 79228
  439. Tue Jan 19 10:24:04 2021 relations with 1 large ideals: 6298
  440. Tue Jan 19 10:24:04 2021 relations with 2 large ideals: 52284
  441. Tue Jan 19 10:24:04 2021 relations with 3 large ideals: 488372
  442. Tue Jan 19 10:24:04 2021 relations with 4 large ideals: 2769716
  443. Tue Jan 19 10:24:04 2021 relations with 5 large ideals: 12487669
  444. Tue Jan 19 10:24:04 2021 relations with 6 large ideals: 20000825
  445. Tue Jan 19 10:24:04 2021 relations with 7+ large ideals: 72344509
  446. Tue Jan 19 10:24:04 2021 commencing 2-way merge
  447. Tue Jan 19 10:25:30 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  448. Tue Jan 19 10:25:30 2021 commencing full merge
  449. Tue Jan 19 10:49:51 2021 memory use: 8722.4 MB
  450. Tue Jan 19 10:49:57 2021 found 32247868 cycles, need 32202611
  451. Tue Jan 19 10:50:08 2021 weight of 32202611 cycles is about 3156378425 (98.02/cycle)
  452. Tue Jan 19 10:50:08 2021 distribution of cycle lengths:
  453. Tue Jan 19 10:50:08 2021 1 relations: 3559548
  454. Tue Jan 19 10:50:08 2021 2 relations: 3062458
  455. Tue Jan 19 10:50:08 2021 3 relations: 2801460
  456. Tue Jan 19 10:50:08 2021 4 relations: 2621168
  457. Tue Jan 19 10:50:08 2021 5 relations: 2461174
  458. Tue Jan 19 10:50:08 2021 6 relations: 2265925
  459. Tue Jan 19 10:50:08 2021 7 relations: 2074188
  460. Tue Jan 19 10:50:08 2021 8 relations: 1880256
  461. Tue Jan 19 10:50:08 2021 9 relations: 1702253
  462. Tue Jan 19 10:50:08 2021 10+ relations: 9774181
  463. Tue Jan 19 10:50:08 2021 heaviest cycle: 28 relations
  464. Tue Jan 19 10:50:18 2021 commencing cycle optimization
  465. Tue Jan 19 10:51:16 2021 start with 238449402 relations
  466. Tue Jan 19 10:58:41 2021 pruned 8017936 relations
  467. Tue Jan 19 10:58:42 2021 memory use: 6881.0 MB
  468. Tue Jan 19 10:58:42 2021 distribution of cycle lengths:
  469. Tue Jan 19 10:58:42 2021 1 relations: 3559548
  470. Tue Jan 19 10:58:42 2021 2 relations: 3124072
  471. Tue Jan 19 10:58:42 2021 3 relations: 2908855
  472. Tue Jan 19 10:58:42 2021 4 relations: 2708492
  473. Tue Jan 19 10:58:42 2021 5 relations: 2551487
  474. Tue Jan 19 10:58:42 2021 6 relations: 2330933
  475. Tue Jan 19 10:58:42 2021 7 relations: 2132765
  476. Tue Jan 19 10:58:42 2021 8 relations: 1919195
  477. Tue Jan 19 10:58:42 2021 9 relations: 1731188
  478. Tue Jan 19 10:58:42 2021 10+ relations: 9236076
  479. Tue Jan 19 10:58:42 2021 heaviest cycle: 28 relations
  480. Tue Jan 19 10:59:55 2021 RelProcTime: 8843
  481. Tue Jan 19 10:59:55 2021 elapsed time 02:27:24
  482. Tue Jan 19 10:59:56 2021
  483. Tue Jan 19 10:59:56 2021
  484. Tue Jan 19 10:59:56 2021 Msieve v. 1.54 (SVN 1030M)
  485. Tue Jan 19 10:59:56 2021 random seeds: 28a5f9d6 017935cd
  486. Tue Jan 19 10:59:56 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  487. Tue Jan 19 10:59:57 2021 no P-1/P+1/ECM available, skipping
  488. Tue Jan 19 10:59:57 2021 commencing number field sieve (211-digit input)
  489. Tue Jan 19 10:59:57 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  490. Tue Jan 19 10:59:57 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  491. Tue Jan 19 10:59:57 2021 A0: 1
  492. Tue Jan 19 10:59:57 2021 A1: -1
  493. Tue Jan 19 10:59:57 2021 A2: 6
  494. Tue Jan 19 10:59:57 2021 A3: -6
  495. Tue Jan 19 10:59:57 2021 A4: 11
  496. Tue Jan 19 10:59:57 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  497. Tue Jan 19 10:59:57 2021
  498. Tue Jan 19 10:59:57 2021 commencing relation filtering
  499. Tue Jan 19 10:59:57 2021 setting target matrix density to 102.0
  500. Tue Jan 19 10:59:57 2021 estimated available RAM is 64023.8 MB
  501. Tue Jan 19 10:59:57 2021 commencing duplicate removal, pass 1
  502. Tue Jan 19 11:13:28 2021 error -11 reading relation 135072061
  503. Tue Jan 19 11:16:02 2021 error -6 reading relation 160769704
  504. Tue Jan 19 11:27:00 2021 error -11 reading relation 270486914
  505. Tue Jan 19 11:28:32 2021 error -11 reading relation 285812669
  506. Tue Jan 19 11:30:53 2021 error -6 reading relation 309348318
  507. Tue Jan 19 11:30:53 2021 error -1 reading relation 309348319
  508. Tue Jan 19 11:31:08 2021 error -11 reading relation 311854402
  509. Tue Jan 19 11:31:37 2021 error -11 reading relation 316662016
  510. Tue Jan 19 11:32:24 2021 error -6 reading relation 324650420
  511. Tue Jan 19 11:32:24 2021 error -1 reading relation 324650421
  512. Tue Jan 19 11:32:45 2021 skipped 218454 relations with b > 2^32
  513. Tue Jan 19 11:32:45 2021 skipped 1 relations with composite factors
  514. Tue Jan 19 11:32:45 2021 found 22702620 hash collisions in 328089697 relations
  515. Tue Jan 19 11:32:45 2021 commencing duplicate removal, pass 2
  516. Tue Jan 19 11:34:08 2021 found 0 duplicates and 328089697 unique relations
  517. Tue Jan 19 11:34:08 2021 memory use: 1257.5 MB
  518. Tue Jan 19 11:34:08 2021 reading ideals above 309919744
  519. Tue Jan 19 11:34:08 2021 commencing singleton removal, initial pass
  520. Tue Jan 19 11:57:22 2021 memory use: 6024.0 MB
  521. Tue Jan 19 11:57:22 2021 reading all ideals from disk
  522. Tue Jan 19 11:57:24 2021 memory use: 5974.2 MB
  523. Tue Jan 19 11:57:38 2021 commencing in-memory singleton removal
  524. Tue Jan 19 11:57:52 2021 begin with 328089697 relations and 297489160 unique ideals
  525. Tue Jan 19 12:00:42 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  526. Tue Jan 19 12:00:42 2021 max relations containing the same ideal: 45
  527. Tue Jan 19 12:00:51 2021 reading ideals above 720000
  528. Tue Jan 19 12:00:52 2021 commencing singleton removal, initial pass
  529. Tue Jan 19 12:19:31 2021 memory use: 5512.0 MB
  530. Tue Jan 19 12:19:31 2021 reading all ideals from disk
  531. Tue Jan 19 12:19:34 2021 memory use: 8323.2 MB
  532. Tue Jan 19 12:20:00 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  533. Tue Jan 19 12:20:25 2021 commencing in-memory singleton removal
  534. Tue Jan 19 12:20:45 2021 begin with 190143096 relations and 175988858 unique ideals
  535. Tue Jan 19 12:24:34 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  536. Tue Jan 19 12:24:34 2021 max relations containing the same ideal: 200
  537. Tue Jan 19 12:26:13 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  538. Tue Jan 19 12:26:17 2021 commencing in-memory singleton removal
  539. Tue Jan 19 12:26:36 2021 begin with 173590386 relations and 175745796 unique ideals
  540. Tue Jan 19 12:29:32 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  541. Tue Jan 19 12:29:32 2021 max relations containing the same ideal: 196
  542. Tue Jan 19 12:31:03 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  543. Tue Jan 19 12:31:06 2021 commencing in-memory singleton removal
  544. Tue Jan 19 12:31:23 2021 begin with 159975989 relations and 160117061 unique ideals
  545. Tue Jan 19 12:33:36 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  546. Tue Jan 19 12:33:36 2021 max relations containing the same ideal: 188
  547. Tue Jan 19 12:35:00 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  548. Tue Jan 19 12:35:03 2021 commencing in-memory singleton removal
  549. Tue Jan 19 12:35:19 2021 begin with 148038444 relations and 148963412 unique ideals
  550. Tue Jan 19 12:37:21 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  551. Tue Jan 19 12:37:21 2021 max relations containing the same ideal: 182
  552. Tue Jan 19 12:38:39 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  553. Tue Jan 19 12:38:42 2021 commencing in-memory singleton removal
  554. Tue Jan 19 12:38:56 2021 begin with 136792459 relations and 139108872 unique ideals
  555. Tue Jan 19 12:40:36 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  556. Tue Jan 19 12:40:36 2021 max relations containing the same ideal: 171
  557. Tue Jan 19 12:41:49 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  558. Tue Jan 19 12:41:52 2021 commencing in-memory singleton removal
  559. Tue Jan 19 12:42:05 2021 begin with 125918113 relations and 129881900 unique ideals
  560. Tue Jan 19 12:43:48 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  561. Tue Jan 19 12:43:48 2021 max relations containing the same ideal: 160
  562. Tue Jan 19 12:44:56 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  563. Tue Jan 19 12:44:58 2021 commencing in-memory singleton removal
  564. Tue Jan 19 12:45:10 2021 begin with 115235877 relations and 120992180 unique ideals
  565. Tue Jan 19 12:46:34 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  566. Tue Jan 19 12:46:34 2021 max relations containing the same ideal: 153
  567. Tue Jan 19 12:47:36 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  568. Tue Jan 19 12:47:38 2021 commencing in-memory singleton removal
  569. Tue Jan 19 12:47:49 2021 begin with 108503484 relations and 112269434 unique ideals
  570. Tue Jan 19 12:49:07 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  571. Tue Jan 19 12:49:07 2021 max relations containing the same ideal: 148
  572. Tue Jan 19 12:50:19 2021 relations with 0 large ideals: 79228
  573. Tue Jan 19 12:50:19 2021 relations with 1 large ideals: 6298
  574. Tue Jan 19 12:50:19 2021 relations with 2 large ideals: 52284
  575. Tue Jan 19 12:50:19 2021 relations with 3 large ideals: 488372
  576. Tue Jan 19 12:50:19 2021 relations with 4 large ideals: 2769716
  577. Tue Jan 19 12:50:19 2021 relations with 5 large ideals: 12487669
  578. Tue Jan 19 12:50:19 2021 relations with 6 large ideals: 20000825
  579. Tue Jan 19 12:50:19 2021 relations with 7+ large ideals: 72344509
  580. Tue Jan 19 12:50:19 2021 commencing 2-way merge
  581. Tue Jan 19 12:51:41 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  582. Tue Jan 19 12:51:41 2021 commencing full merge
  583. Tue Jan 19 13:44:30 2021 memory use: 3129.2 MB
  584. Tue Jan 19 13:44:30 2021 found 395874 cycles, need 14342121
  585. Tue Jan 19 13:44:30 2021 too few cycles, matrix probably cannot build
  586. Tue Jan 19 13:44:31 2021 filtering wants 1000000 more relations
  587. Tue Jan 19 13:44:31 2021 elapsed time 02:44:35
  588. Tue Jan 19 13:44:31 2021
  589. Tue Jan 19 13:44:31 2021
  590. Tue Jan 19 13:44:31 2021 Msieve v. 1.54 (SVN 1030M)
  591. Tue Jan 19 13:44:31 2021 random seeds: 49f5c7bc ba644f7b
  592. Tue Jan 19 13:44:31 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  593. Tue Jan 19 13:44:32 2021 no P-1/P+1/ECM available, skipping
  594. Tue Jan 19 13:44:32 2021 commencing number field sieve (211-digit input)
  595. Tue Jan 19 13:44:32 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  596. Tue Jan 19 13:44:32 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  597. Tue Jan 19 13:44:32 2021 A0: 1
  598. Tue Jan 19 13:44:32 2021 A1: -1
  599. Tue Jan 19 13:44:32 2021 A2: 6
  600. Tue Jan 19 13:44:32 2021 A3: -6
  601. Tue Jan 19 13:44:32 2021 A4: 11
  602. Tue Jan 19 13:44:32 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  603. Tue Jan 19 13:44:32 2021
  604. Tue Jan 19 13:44:32 2021 commencing relation filtering
  605. Tue Jan 19 13:44:32 2021 setting target matrix density to 100.0
  606. Tue Jan 19 13:44:32 2021 estimated available RAM is 64023.8 MB
  607. Tue Jan 19 13:44:32 2021 commencing duplicate removal, pass 1
  608. Tue Jan 19 13:58:02 2021 error -11 reading relation 135072061
  609. Tue Jan 19 14:00:34 2021 error -6 reading relation 160769704
  610. Tue Jan 19 14:11:17 2021 error -11 reading relation 270486914
  611. Tue Jan 19 14:12:47 2021 error -11 reading relation 285812669
  612. Tue Jan 19 14:15:05 2021 error -6 reading relation 309348318
  613. Tue Jan 19 14:15:05 2021 error -1 reading relation 309348319
  614. Tue Jan 19 14:15:19 2021 error -11 reading relation 311854402
  615. Tue Jan 19 14:15:47 2021 error -11 reading relation 316662016
  616. Tue Jan 19 14:16:34 2021 error -6 reading relation 324650420
  617. Tue Jan 19 14:16:34 2021 error -1 reading relation 324650421
  618. Tue Jan 19 14:16:54 2021 skipped 218454 relations with b > 2^32
  619. Tue Jan 19 14:16:54 2021 skipped 1 relations with composite factors
  620. Tue Jan 19 14:16:54 2021 found 22702620 hash collisions in 328089697 relations
  621. Tue Jan 19 14:16:54 2021 commencing duplicate removal, pass 2
  622. Tue Jan 19 14:18:14 2021 found 0 duplicates and 328089697 unique relations
  623. Tue Jan 19 14:18:14 2021 memory use: 1257.5 MB
  624. Tue Jan 19 14:18:14 2021 reading ideals above 309919744
  625. Tue Jan 19 14:18:14 2021 commencing singleton removal, initial pass
  626. Tue Jan 19 14:40:50 2021 memory use: 6024.0 MB
  627. Tue Jan 19 14:40:50 2021 reading all ideals from disk
  628. Tue Jan 19 14:40:53 2021 memory use: 5974.2 MB
  629. Tue Jan 19 14:41:06 2021 commencing in-memory singleton removal
  630. Tue Jan 19 14:41:19 2021 begin with 328089697 relations and 297489160 unique ideals
  631. Tue Jan 19 14:43:55 2021 reduce to 190143096 relations and 143490862 ideals in 18 passes
  632. Tue Jan 19 14:43:55 2021 max relations containing the same ideal: 45
  633. Tue Jan 19 14:44:04 2021 reading ideals above 720000
  634. Tue Jan 19 14:44:04 2021 commencing singleton removal, initial pass
  635. Tue Jan 19 15:02:38 2021 memory use: 5512.0 MB
  636. Tue Jan 19 15:02:38 2021 reading all ideals from disk
  637. Tue Jan 19 15:02:41 2021 memory use: 8323.2 MB
  638. Tue Jan 19 15:03:06 2021 keeping 175988858 ideals with weight <= 200, target excess is 999758
  639. Tue Jan 19 15:03:31 2021 commencing in-memory singleton removal
  640. Tue Jan 19 15:03:51 2021 begin with 190143096 relations and 175988858 unique ideals
  641. Tue Jan 19 15:07:35 2021 reduce to 189900157 relations and 175745796 ideals in 13 passes
  642. Tue Jan 19 15:07:35 2021 max relations containing the same ideal: 200
  643. Tue Jan 19 15:09:13 2021 removing 16309771 relations and 14309771 ideals in 2000000 cliques
  644. Tue Jan 19 15:09:17 2021 commencing in-memory singleton removal
  645. Tue Jan 19 15:09:35 2021 begin with 173590386 relations and 175745796 unique ideals
  646. Tue Jan 19 15:12:27 2021 reduce to 172291386 relations and 160117061 ideals in 11 passes
  647. Tue Jan 19 15:12:27 2021 max relations containing the same ideal: 196
  648. Tue Jan 19 15:13:56 2021 removing 12315397 relations and 10315397 ideals in 2000000 cliques
  649. Tue Jan 19 15:14:00 2021 commencing in-memory singleton removal
  650. Tue Jan 19 15:14:16 2021 begin with 159975989 relations and 160117061 unique ideals
  651. Tue Jan 19 15:16:26 2021 reduce to 159148603 relations and 148963412 ideals in 9 passes
  652. Tue Jan 19 15:16:26 2021 max relations containing the same ideal: 188
  653. Tue Jan 19 15:17:49 2021 removing 11110159 relations and 9110159 ideals in 2000000 cliques
  654. Tue Jan 19 15:17:52 2021 commencing in-memory singleton removal
  655. Tue Jan 19 15:18:07 2021 begin with 148038444 relations and 148963412 unique ideals
  656. Tue Jan 19 15:20:07 2021 reduce to 147303388 relations and 139108872 ideals in 9 passes
  657. Tue Jan 19 15:20:07 2021 max relations containing the same ideal: 182
  658. Tue Jan 19 15:21:24 2021 removing 10510929 relations and 8510929 ideals in 2000000 cliques
  659. Tue Jan 19 15:21:27 2021 commencing in-memory singleton removal
  660. Tue Jan 19 15:21:41 2021 begin with 136792459 relations and 139108872 unique ideals
  661. Tue Jan 19 15:23:19 2021 reduce to 136085849 relations and 129881900 ideals in 8 passes
  662. Tue Jan 19 15:23:19 2021 max relations containing the same ideal: 171
  663. Tue Jan 19 15:24:30 2021 removing 10167736 relations and 8167736 ideals in 2000000 cliques
  664. Tue Jan 19 15:24:33 2021 commencing in-memory singleton removal
  665. Tue Jan 19 15:24:46 2021 begin with 125918113 relations and 129881900 unique ideals
  666. Tue Jan 19 15:26:26 2021 reduce to 125206156 relations and 120992180 ideals in 9 passes
  667. Tue Jan 19 15:26:26 2021 max relations containing the same ideal: 160
  668. Tue Jan 19 15:27:33 2021 removing 9970279 relations and 7970279 ideals in 2000000 cliques
  669. Tue Jan 19 15:27:35 2021 commencing in-memory singleton removal
  670. Tue Jan 19 15:27:47 2021 begin with 115235877 relations and 120992180 unique ideals
  671. Tue Jan 19 15:29:08 2021 reduce to 114494361 relations and 112269434 ideals in 8 passes
  672. Tue Jan 19 15:29:08 2021 max relations containing the same ideal: 153
  673. Tue Jan 19 15:30:09 2021 removing 5990877 relations and 4925670 ideals in 1065207 cliques
  674. Tue Jan 19 15:30:11 2021 commencing in-memory singleton removal
  675. Tue Jan 19 15:30:22 2021 begin with 108503484 relations and 112269434 unique ideals
  676. Tue Jan 19 15:31:39 2021 reduce to 108228901 relations and 107066736 ideals in 8 passes
  677. Tue Jan 19 15:31:39 2021 max relations containing the same ideal: 148
  678. Tue Jan 19 15:32:50 2021 relations with 0 large ideals: 79228
  679. Tue Jan 19 15:32:50 2021 relations with 1 large ideals: 6298
  680. Tue Jan 19 15:32:50 2021 relations with 2 large ideals: 52284
  681. Tue Jan 19 15:32:50 2021 relations with 3 large ideals: 488372
  682. Tue Jan 19 15:32:50 2021 relations with 4 large ideals: 2769716
  683. Tue Jan 19 15:32:50 2021 relations with 5 large ideals: 12487669
  684. Tue Jan 19 15:32:50 2021 relations with 6 large ideals: 20000825
  685. Tue Jan 19 15:32:50 2021 relations with 7+ large ideals: 72344509
  686. Tue Jan 19 15:32:50 2021 commencing 2-way merge
  687. Tue Jan 19 15:34:10 2021 reduce to 68878576 relation sets and 67716411 unique ideals
  688. Tue Jan 19 15:34:10 2021 commencing full merge
  689. Tue Jan 19 15:58:32 2021 memory use: 8740.0 MB
  690. Tue Jan 19 15:58:39 2021 found 32007353 cycles, need 31980611
  691. Tue Jan 19 15:58:49 2021 weight of 31980611 cycles is about 3198609904 (100.02/cycle)
  692. Tue Jan 19 15:58:49 2021 distribution of cycle lengths:
  693. Tue Jan 19 15:58:49 2021 1 relations: 3422568
  694. Tue Jan 19 15:58:49 2021 2 relations: 2979933
  695. Tue Jan 19 15:58:49 2021 3 relations: 2743380
  696. Tue Jan 19 15:58:49 2021 4 relations: 2563236
  697. Tue Jan 19 15:58:49 2021 5 relations: 2418134
  698. Tue Jan 19 15:58:49 2021 6 relations: 2236782
  699. Tue Jan 19 15:58:49 2021 7 relations: 2052202
  700. Tue Jan 19 15:58:49 2021 8 relations: 1864974
  701. Tue Jan 19 15:58:49 2021 9 relations: 1692211
  702. Tue Jan 19 15:58:49 2021 10+ relations: 10007191
  703. Tue Jan 19 15:58:49 2021 heaviest cycle: 28 relations
  704. Tue Jan 19 15:58:59 2021 commencing cycle optimization
  705. Tue Jan 19 15:59:57 2021 start with 241568835 relations
  706. Tue Jan 19 16:07:26 2021 pruned 8310283 relations
  707. Tue Jan 19 16:07:27 2021 memory use: 6915.3 MB
  708. Tue Jan 19 16:07:27 2021 distribution of cycle lengths:
  709. Tue Jan 19 16:07:27 2021 1 relations: 3422568
  710. Tue Jan 19 16:07:27 2021 2 relations: 3040691
  711. Tue Jan 19 16:07:27 2021 3 relations: 2849434
  712. Tue Jan 19 16:07:27 2021 4 relations: 2650691
  713. Tue Jan 19 16:07:27 2021 5 relations: 2509147
  714. Tue Jan 19 16:07:27 2021 6 relations: 2303189
  715. Tue Jan 19 16:07:27 2021 7 relations: 2112531
  716. Tue Jan 19 16:07:27 2021 8 relations: 1905969
  717. Tue Jan 19 16:07:27 2021 9 relations: 1723147
  718. Tue Jan 19 16:07:27 2021 10+ relations: 9463244
  719. Tue Jan 19 16:07:27 2021 heaviest cycle: 28 relations
  720. Tue Jan 19 16:08:39 2021 RelProcTime: 8647
  721. Tue Jan 19 16:08:39 2021 elapsed time 02:24:08
  722. Wed Jan 20 12:21:23 2021
  723. Wed Jan 20 12:21:23 2021
  724. Wed Jan 20 12:21:23 2021 Msieve v. 1.54 (SVN 1030M)
  725. Wed Jan 20 12:21:23 2021 random seeds: e9a58067 1e174eb8
  726. Wed Jan 20 12:21:23 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  727. Wed Jan 20 12:21:23 2021 no P-1/P+1/ECM available, skipping
  728. Wed Jan 20 12:21:23 2021 commencing number field sieve (211-digit input)
  729. Wed Jan 20 12:21:23 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  730. Wed Jan 20 12:21:23 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  731. Wed Jan 20 12:21:23 2021 A0: 1
  732. Wed Jan 20 12:21:23 2021 A1: -1
  733. Wed Jan 20 12:21:23 2021 A2: 6
  734. Wed Jan 20 12:21:23 2021 A3: -6
  735. Wed Jan 20 12:21:23 2021 A4: 11
  736. Wed Jan 20 12:21:23 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  737. Wed Jan 20 12:21:23 2021
  738. Wed Jan 20 12:21:23 2021 commencing linear algebra
  739. Wed Jan 20 12:21:26 2021 read 31980611 cycles
  740. Wed Jan 20 12:22:31 2021 cycles contain 107301899 unique relations
  741. Wed Jan 20 12:29:15 2021 read 107301899 relations
  742. Wed Jan 20 12:33:18 2021 using 20 quadratic characters above 4294917295
  743. Wed Jan 20 12:40:27 2021 building initial matrix
  744. Wed Jan 20 12:59:18 2021 memory use: 13475.8 MB
  745. Wed Jan 20 12:59:33 2021 read 31980611 cycles
  746. Wed Jan 20 12:59:37 2021 matrix is 31980434 x 31980611 (12983.9 MB) with weight 3702446501 (115.77/col)
  747. Wed Jan 20 12:59:37 2021 sparse part has weight 3051874765 (95.43/col)
  748. Wed Jan 20 13:06:09 2021 filtering completed in 2 passes
  749. Wed Jan 20 13:06:15 2021 matrix is 31978948 x 31979107 (12983.8 MB) with weight 3702404699 (115.78/col)
  750. Wed Jan 20 13:06:15 2021 sparse part has weight 3051864260 (95.43/col)
  751. Wed Jan 20 13:07:58 2021 matrix starts at (0, 0)
  752. Wed Jan 20 13:08:02 2021 matrix is 31978948 x 31979107 (12983.8 MB) with weight 3702404699 (115.78/col)
  753. Wed Jan 20 13:08:02 2021 sparse part has weight 3051864260 (95.43/col)
  754. Wed Jan 20 13:08:02 2021 saving the first 240 matrix rows for later
  755. Wed Jan 20 13:08:08 2021 matrix includes 256 packed rows
  756. Wed Jan 20 13:08:18 2021 matrix is 31978708 x 31979107 (12160.8 MB) with weight 2804477398 (87.70/col)
  757. Wed Jan 20 13:08:18 2021 sparse part has weight 2676210870 (83.69/col)
  758. Wed Jan 20 13:08:18 2021 using block size 8192 and superblock size 473088 for processor cache size 19712 kB
  759. Wed Jan 20 13:09:45 2021 commencing Lanczos iteration (14 threads)
  760. Wed Jan 20 13:09:45 2021 memory use: 17676.8 MB
  761. Wed Jan 20 13:11:02 2021 linear algebra at 0.0%, ETA 376h52m
  762. Wed Jan 20 13:11:24 2021 checkpointing every 90000 dimensions
  763. Fri Jan 29 14:00:50 2021 lanczos halted after 125292 iterations (dim = 31978706)
  764. Fri Jan 29 14:02:28 2021 recovered 38 nontrivial dependencies
  765. Fri Jan 29 14:02:33 2021 BLanczosTime: 783670
  766. Fri Jan 29 14:02:33 2021 elapsed time 217:41:10
  767. Fri Jan 29 14:02:34 2021
  768. Fri Jan 29 14:02:34 2021
  769. Fri Jan 29 14:02:34 2021 Msieve v. 1.54 (SVN 1030M)
  770. Fri Jan 29 14:02:34 2021 random seeds: da9e75a3 297fb869
  771. Fri Jan 29 14:02:34 2021 factoring 6647246946274833393456661338737441255614261080716309840406229789042569778456310323482125160454068850539445673923995827291479838370880449615345378166944942195594414495045570103808609316829203645670851879601136941 (211 digits)
  772. Fri Jan 29 14:02:34 2021 no P-1/P+1/ECM available, skipping
  773. Fri Jan 29 14:02:34 2021 commencing number field sieve (211-digit input)
  774. Fri Jan 29 14:02:34 2021 R0: 222232244629420445529739893461909967206666939096499764990979600
  775. Fri Jan 29 14:02:34 2021 R1: -84885164052257330097714121751630835360966663883732297726369399
  776. Fri Jan 29 14:02:34 2021 A0: 1
  777. Fri Jan 29 14:02:34 2021 A1: -1
  778. Fri Jan 29 14:02:34 2021 A2: 6
  779. Fri Jan 29 14:02:34 2021 A3: -6
  780. Fri Jan 29 14:02:34 2021 A4: 11
  781. Fri Jan 29 14:02:34 2021 skew 0.55, size 1.352e-25, alpha 1.426, combined = 3.174e-15 rroots = 0
  782. Fri Jan 29 14:02:34 2021
  783. Fri Jan 29 14:02:34 2021 commencing square root phase
  784. Fri Jan 29 14:02:34 2021 reading relations for dependency 1
  785. Fri Jan 29 14:02:37 2021 read 15990091 cycles
  786. Fri Jan 29 14:03:06 2021 cycles contain 53645518 unique relations
  787. Fri Jan 29 14:06:23 2021 read 53645518 relations
  788. Fri Jan 29 14:10:30 2021 multiplying 53645518 relations
  789. Fri Jan 29 14:27:12 2021 multiply complete, coefficients have about 1669.97 million bits
  790. Fri Jan 29 14:27:16 2021 initial square root is modulo 30976753
  791. Fri Jan 29 14:48:29 2021 GCD is N, no factor found
  792. Fri Jan 29 14:48:29 2021 reading relations for dependency 2
  793. Fri Jan 29 14:48:31 2021 read 15987578 cycles
  794. Fri Jan 29 14:48:59 2021 cycles contain 53645018 unique relations
  795. Fri Jan 29 14:52:13 2021 read 53645018 relations
  796. Fri Jan 29 14:56:21 2021 multiplying 53645018 relations
  797. Fri Jan 29 15:13:07 2021 multiply complete, coefficients have about 1669.95 million bits
  798. Fri Jan 29 15:13:11 2021 initial square root is modulo 30968887
  799. Fri Jan 29 15:34:26 2021 GCD is 1, no factor found
  800. Fri Jan 29 15:34:26 2021 reading relations for dependency 3
  801. Fri Jan 29 15:34:28 2021 read 15993917 cycles
  802. Fri Jan 29 15:34:56 2021 cycles contain 53666092 unique relations
  803. Fri Jan 29 15:38:08 2021 read 53666092 relations
  804. Fri Jan 29 15:42:18 2021 multiplying 53666092 relations
  805. Fri Jan 29 15:59:16 2021 multiply complete, coefficients have about 1670.61 million bits
  806. Fri Jan 29 15:59:20 2021 initial square root is modulo 31182803
  807. Fri Jan 29 16:21:09 2021 sqrtTime: 8315
  808. Fri Jan 29 16:21:09 2021 p70 factor: 1766931035816663530033036837955675983886671972196464946006728364437711
  809. Fri Jan 29 16:21:09 2021 p142 factor: 3762029650015469324407490551394438192508467947126074041045371318254344579583507946901831963872450977921656837062554412368366737875053604548931
  810. Fri Jan 29 16:21:09 2021 elapsed time 02:18:35
  811.  
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