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5m2_427

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Jan 19th, 2021
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  1. Wed Jan 13 17:26:29 2021
  2. Wed Jan 13 17:26:29 2021
  3. Wed Jan 13 17:26:29 2021 Msieve v. 1.52 (SVN unknown)
  4. Wed Jan 13 17:26:29 2021 random seeds: 94be7b60 e1a605eb
  5. Wed Jan 13 17:26:29 2021 factoring 1172810236294512941943194865955392962132331186555093480617125416008514187085117226926610630744885979104561791084631308253860258553999839036699436659067102381550112711433055614180817927600418217624704150197225501279248043 (220 digits)
  6. Wed Jan 13 17:26:30 2021 no P-1/P+1/ECM available, skipping
  7. Wed Jan 13 17:26:30 2021 commencing number field sieve (220-digit input)
  8. Wed Jan 13 17:26:30 2021 R0: 4336808689942017736029811203479766845703125
  9. Wed Jan 13 17:26:30 2021 R1: -2305843009213693952
  10. Wed Jan 13 17:26:30 2021 A0: 1
  11. Wed Jan 13 17:26:30 2021 A1: 1
  12. Wed Jan 13 17:26:30 2021 A2: 1
  13. Wed Jan 13 17:26:30 2021 A3: 1
  14. Wed Jan 13 17:26:30 2021 A4: 1
  15. Wed Jan 13 17:26:30 2021 A5: 1
  16. Wed Jan 13 17:26:30 2021 A6: 1
  17. Wed Jan 13 17:26:30 2021 skew 1.00, size 1.279e-012, alpha 2.428, combined = 1.390e-013 rroots = 0
  18. Wed Jan 13 17:26:30 2021
  19. Wed Jan 13 17:26:30 2021 commencing relation filtering
  20. Wed Jan 13 17:26:30 2021 setting target matrix density to 116.0
  21. Wed Jan 13 17:26:30 2021 estimated available RAM is 16316.6 MB
  22. Wed Jan 13 17:26:30 2021 commencing duplicate removal, pass 1
  23. Wed Jan 13 17:26:51 2021 error -9 reading relation 2268447
  24. Wed Jan 13 17:26:55 2021 error -5 reading relation 2709407
  25. Wed Jan 13 17:27:22 2021 error -9 reading relation 5603935
  26. Wed Jan 13 17:27:27 2021 error -5 reading relation 6064667
  27. Wed Jan 13 18:07:38 2021 error -9 reading relation 267843553
  28. Wed Jan 13 18:07:44 2021 error -9 reading relation 268518178
  29. Wed Jan 13 18:07:45 2021 error -9 reading relation 268611735
  30. Wed Jan 13 18:07:45 2021 error -9 reading relation 268673993
  31. Wed Jan 13 18:07:52 2021 error -9 reading relation 269403797
  32. Wed Jan 13 18:08:02 2021 error -15 reading relation 270515161
  33. Wed Jan 13 18:08:07 2021 skipped 579 relations with b > 2^32
  34. Wed Jan 13 18:08:07 2021 found 55693199 hash collisions in 271054371 relations
  35. Wed Jan 13 18:08:21 2021 added 2438534 free relations
  36. Wed Jan 13 18:08:21 2021 commencing duplicate removal, pass 2
  37. Wed Jan 13 18:16:04 2021 found 54484582 duplicates and 219008323 unique relations
  38. Wed Jan 13 18:16:04 2021 memory use: 1449.5 MB
  39. Wed Jan 13 18:16:05 2021 reading ideals above 159973376
  40. Wed Jan 13 18:16:05 2021 commencing singleton removal, initial pass
  41. Wed Jan 13 18:54:07 2021 memory use: 5512.0 MB
  42. Wed Jan 13 18:54:07 2021 reading all ideals from disk
  43. Wed Jan 13 18:54:47 2021 memory use: 3715.7 MB
  44. Wed Jan 13 18:54:55 2021 commencing in-memory singleton removal
  45. Wed Jan 13 18:55:02 2021 begin with 219008323 relations and 164937572 unique ideals
  46. Wed Jan 13 18:56:32 2021 reduce to 160560481 relations and 101798088 ideals in 14 passes
  47. Wed Jan 13 18:56:32 2021 max relations containing the same ideal: 44
  48. Wed Jan 13 18:56:43 2021 reading ideals above 720000
  49. Wed Jan 13 18:56:44 2021 commencing singleton removal, initial pass
  50. Wed Jan 13 19:31:26 2021 memory use: 3012.0 MB
  51. Wed Jan 13 19:31:26 2021 reading all ideals from disk
  52. Wed Jan 13 19:32:59 2021 memory use: 6533.5 MB
  53. Wed Jan 13 19:33:15 2021 keeping 118869640 ideals with weight <= 200, target excess is 873827
  54. Wed Jan 13 19:33:35 2021 commencing in-memory singleton removal
  55. Wed Jan 13 19:33:47 2021 begin with 160560481 relations and 118869640 unique ideals
  56. Wed Jan 13 19:34:42 2021 reduce to 160560332 relations and 118869491 ideals in 4 passes
  57. Wed Jan 13 19:34:42 2021 max relations containing the same ideal: 200
  58. Wed Jan 13 19:35:47 2021 removing 9513240 relations and 7513240 ideals in 2000000 cliques
  59. Wed Jan 13 19:35:50 2021 commencing in-memory singleton removal
  60. Wed Jan 13 19:36:02 2021 begin with 151047092 relations and 118869491 unique ideals
  61. Wed Jan 13 19:37:33 2021 reduce to 150625989 relations and 110928447 ideals in 7 passes
  62. Wed Jan 13 19:37:33 2021 max relations containing the same ideal: 198
  63. Wed Jan 13 19:38:34 2021 removing 7299074 relations and 5299074 ideals in 2000000 cliques
  64. Wed Jan 13 19:38:37 2021 commencing in-memory singleton removal
  65. Wed Jan 13 19:38:48 2021 begin with 143326915 relations and 110928447 unique ideals
  66. Wed Jan 13 19:40:02 2021 reduce to 143041047 relations and 105339560 ideals in 6 passes
  67. Wed Jan 13 19:40:02 2021 max relations containing the same ideal: 195
  68. Wed Jan 13 19:41:00 2021 removing 6661621 relations and 4661621 ideals in 2000000 cliques
  69. Wed Jan 13 19:41:03 2021 commencing in-memory singleton removal
  70. Wed Jan 13 19:41:13 2021 begin with 136379426 relations and 105339560 unique ideals
  71. Wed Jan 13 19:42:46 2021 reduce to 136133165 relations and 100428287 ideals in 8 passes
  72. Wed Jan 13 19:42:46 2021 max relations containing the same ideal: 190
  73. Wed Jan 13 19:43:42 2021 removing 6325941 relations and 4325941 ideals in 2000000 cliques
  74. Wed Jan 13 19:43:44 2021 commencing in-memory singleton removal
  75. Wed Jan 13 19:43:54 2021 begin with 129807224 relations and 100428287 unique ideals
  76. Wed Jan 13 19:45:01 2021 reduce to 129581659 relations and 95873599 ideals in 6 passes
  77. Wed Jan 13 19:45:01 2021 max relations containing the same ideal: 182
  78. Wed Jan 13 19:45:54 2021 removing 6117788 relations and 4117788 ideals in 2000000 cliques
  79. Wed Jan 13 19:45:56 2021 commencing in-memory singleton removal
  80. Wed Jan 13 19:46:06 2021 begin with 123463871 relations and 95873599 unique ideals
  81. Wed Jan 13 19:47:19 2021 reduce to 123248929 relations and 91537816 ideals in 7 passes
  82. Wed Jan 13 19:47:19 2021 max relations containing the same ideal: 179
  83. Wed Jan 13 19:48:10 2021 removing 5969197 relations and 3969197 ideals in 2000000 cliques
  84. Wed Jan 13 19:48:12 2021 commencing in-memory singleton removal
  85. Wed Jan 13 19:48:22 2021 begin with 117279732 relations and 91537816 unique ideals
  86. Wed Jan 13 19:49:21 2021 reduce to 117070897 relations and 87356636 ideals in 6 passes
  87. Wed Jan 13 19:49:21 2021 max relations containing the same ideal: 173
  88. Wed Jan 13 19:50:09 2021 removing 5863472 relations and 3863472 ideals in 2000000 cliques
  89. Wed Jan 13 19:50:11 2021 commencing in-memory singleton removal
  90. Wed Jan 13 19:50:20 2021 begin with 111207425 relations and 87356636 unique ideals
  91. Wed Jan 13 19:51:16 2021 reduce to 111003147 relations and 83285693 ideals in 6 passes
  92. Wed Jan 13 19:51:16 2021 max relations containing the same ideal: 167
  93. Wed Jan 13 19:52:02 2021 removing 5777146 relations and 3777146 ideals in 2000000 cliques
  94. Wed Jan 13 19:52:04 2021 commencing in-memory singleton removal
  95. Wed Jan 13 19:52:12 2021 begin with 105226001 relations and 83285693 unique ideals
  96. Wed Jan 13 19:53:05 2021 reduce to 105022338 relations and 79301530 ideals in 6 passes
  97. Wed Jan 13 19:53:05 2021 max relations containing the same ideal: 164
  98. Wed Jan 13 19:53:49 2021 removing 5709163 relations and 3709163 ideals in 2000000 cliques
  99. Wed Jan 13 19:53:51 2021 commencing in-memory singleton removal
  100. Wed Jan 13 19:53:58 2021 begin with 99313175 relations and 79301530 unique ideals
  101. Wed Jan 13 19:54:48 2021 reduce to 99106742 relations and 75382334 ideals in 6 passes
  102. Wed Jan 13 19:54:48 2021 max relations containing the same ideal: 159
  103. Wed Jan 13 19:55:30 2021 removing 5658474 relations and 3658474 ideals in 2000000 cliques
  104. Wed Jan 13 19:55:32 2021 commencing in-memory singleton removal
  105. Wed Jan 13 19:55:39 2021 begin with 93448268 relations and 75382334 unique ideals
  106. Wed Jan 13 19:56:25 2021 reduce to 93238164 relations and 71509881 ideals in 6 passes
  107. Wed Jan 13 19:56:25 2021 max relations containing the same ideal: 150
  108. Wed Jan 13 19:57:04 2021 removing 5620068 relations and 3620068 ideals in 2000000 cliques
  109. Wed Jan 13 19:57:06 2021 commencing in-memory singleton removal
  110. Wed Jan 13 19:57:13 2021 begin with 87618096 relations and 71509881 unique ideals
  111. Wed Jan 13 19:57:56 2021 reduce to 87401893 relations and 67669379 ideals in 6 passes
  112. Wed Jan 13 19:57:56 2021 max relations containing the same ideal: 145
  113. Wed Jan 13 19:58:33 2021 removing 5588837 relations and 3588837 ideals in 2000000 cliques
  114. Wed Jan 13 19:58:35 2021 commencing in-memory singleton removal
  115. Wed Jan 13 19:58:41 2021 begin with 81813056 relations and 67669379 unique ideals
  116. Wed Jan 13 19:59:21 2021 reduce to 81588055 relations and 63850957 ideals in 6 passes
  117. Wed Jan 13 19:59:21 2021 max relations containing the same ideal: 142
  118. Wed Jan 13 19:59:55 2021 removing 5571181 relations and 3571181 ideals in 2000000 cliques
  119. Wed Jan 13 19:59:57 2021 commencing in-memory singleton removal
  120. Wed Jan 13 20:00:03 2021 begin with 76016874 relations and 63850957 unique ideals
  121. Wed Jan 13 20:00:40 2021 reduce to 75781191 relations and 60038879 ideals in 6 passes
  122. Wed Jan 13 20:00:40 2021 max relations containing the same ideal: 131
  123. Wed Jan 13 20:01:12 2021 removing 5554948 relations and 3554948 ideals in 2000000 cliques
  124. Wed Jan 13 20:01:14 2021 commencing in-memory singleton removal
  125. Wed Jan 13 20:01:19 2021 begin with 70226243 relations and 60038879 unique ideals
  126. Wed Jan 13 20:01:53 2021 reduce to 69977538 relations and 56229455 ideals in 6 passes
  127. Wed Jan 13 20:01:53 2021 max relations containing the same ideal: 122
  128. Wed Jan 13 20:02:23 2021 removing 5553385 relations and 3553385 ideals in 2000000 cliques
  129. Wed Jan 13 20:02:24 2021 commencing in-memory singleton removal
  130. Wed Jan 13 20:02:29 2021 begin with 64424153 relations and 56229455 unique ideals
  131. Wed Jan 13 20:03:00 2021 reduce to 64159617 relations and 52404912 ideals in 6 passes
  132. Wed Jan 13 20:03:00 2021 max relations containing the same ideal: 115
  133. Wed Jan 13 20:03:27 2021 removing 5555979 relations and 3555979 ideals in 2000000 cliques
  134. Wed Jan 13 20:03:29 2021 commencing in-memory singleton removal
  135. Wed Jan 13 20:03:33 2021 begin with 58603638 relations and 52404912 unique ideals
  136. Wed Jan 13 20:04:01 2021 reduce to 58317138 relations and 48554784 ideals in 6 passes
  137. Wed Jan 13 20:04:01 2021 max relations containing the same ideal: 108
  138. Wed Jan 13 20:04:26 2021 removing 5565955 relations and 3565955 ideals in 2000000 cliques
  139. Wed Jan 13 20:04:28 2021 commencing in-memory singleton removal
  140. Wed Jan 13 20:04:32 2021 begin with 52751183 relations and 48554784 unique ideals
  141. Wed Jan 13 20:04:56 2021 reduce to 52437814 relations and 44666270 ideals in 6 passes
  142. Wed Jan 13 20:04:56 2021 max relations containing the same ideal: 101
  143. Wed Jan 13 20:05:19 2021 removing 5587134 relations and 3587134 ideals in 2000000 cliques
  144. Wed Jan 13 20:05:21 2021 commencing in-memory singleton removal
  145. Wed Jan 13 20:05:24 2021 begin with 46850680 relations and 44666270 unique ideals
  146. Wed Jan 13 20:05:46 2021 reduce to 46499626 relations and 40716918 ideals in 6 passes
  147. Wed Jan 13 20:05:46 2021 max relations containing the same ideal: 93
  148. Wed Jan 13 20:06:06 2021 removing 5620638 relations and 3620638 ideals in 2000000 cliques
  149. Wed Jan 13 20:06:08 2021 commencing in-memory singleton removal
  150. Wed Jan 13 20:06:11 2021 begin with 40878988 relations and 40716918 unique ideals
  151. Wed Jan 13 20:06:33 2021 reduce to 40472609 relations and 36675474 ideals in 7 passes
  152. Wed Jan 13 20:06:33 2021 max relations containing the same ideal: 85
  153. Wed Jan 13 20:06:50 2021 removing 5673219 relations and 3673219 ideals in 2000000 cliques
  154. Wed Jan 13 20:06:52 2021 commencing in-memory singleton removal
  155. Wed Jan 13 20:06:54 2021 begin with 34799390 relations and 36675474 unique ideals
  156. Wed Jan 13 20:07:13 2021 reduce to 34305980 relations and 32488732 ideals in 7 passes
  157. Wed Jan 13 20:07:13 2021 max relations containing the same ideal: 77
  158. Wed Jan 13 20:07:28 2021 removing 2688474 relations and 1884866 ideals in 803608 cliques
  159. Wed Jan 13 20:07:29 2021 commencing in-memory singleton removal
  160. Wed Jan 13 20:07:31 2021 begin with 31617506 relations and 32488732 unique ideals
  161. Wed Jan 13 20:07:45 2021 reduce to 31455083 relations and 30438117 ideals in 6 passes
  162. Wed Jan 13 20:07:45 2021 max relations containing the same ideal: 70
  163. Wed Jan 13 20:08:03 2021 relations with 0 large ideals: 66930
  164. Wed Jan 13 20:08:03 2021 relations with 1 large ideals: 14648
  165. Wed Jan 13 20:08:03 2021 relations with 2 large ideals: 170085
  166. Wed Jan 13 20:08:03 2021 relations with 3 large ideals: 1035142
  167. Wed Jan 13 20:08:03 2021 relations with 4 large ideals: 3392768
  168. Wed Jan 13 20:08:03 2021 relations with 5 large ideals: 6634654
  169. Wed Jan 13 20:08:03 2021 relations with 6 large ideals: 8163142
  170. Wed Jan 13 20:08:03 2021 relations with 7+ large ideals: 11977714
  171. Wed Jan 13 20:08:03 2021 commencing 2-way merge
  172. Wed Jan 13 20:08:22 2021 reduce to 21727767 relation sets and 20710801 unique ideals
  173. Wed Jan 13 20:08:22 2021 commencing full merge
  174. Wed Jan 13 20:17:49 2021 memory use: 2870.9 MB
  175. Wed Jan 13 20:17:52 2021 found 10047938 cycles, need 9957001
  176. Wed Jan 13 20:17:53 2021 weight of 9957001 cycles is about 1155573460 (116.06/cycle)
  177. Wed Jan 13 20:17:53 2021 distribution of cycle lengths:
  178. Wed Jan 13 20:17:53 2021 1 relations: 402029
  179. Wed Jan 13 20:17:53 2021 2 relations: 545919
  180. Wed Jan 13 20:17:53 2021 3 relations: 675183
  181. Wed Jan 13 20:17:53 2021 4 relations: 733714
  182. Wed Jan 13 20:17:53 2021 5 relations: 781113
  183. Wed Jan 13 20:17:53 2021 6 relations: 792824
  184. Wed Jan 13 20:17:53 2021 7 relations: 784477
  185. Wed Jan 13 20:17:53 2021 8 relations: 751514
  186. Wed Jan 13 20:17:53 2021 9 relations: 701697
  187. Wed Jan 13 20:17:53 2021 10+ relations: 3788531
  188. Wed Jan 13 20:17:53 2021 heaviest cycle: 28 relations
  189. Wed Jan 13 20:17:55 2021 commencing cycle optimization
  190. Wed Jan 13 20:18:12 2021 start with 85400326 relations
  191. Wed Jan 13 20:22:12 2021 pruned 4398674 relations
  192. Wed Jan 13 20:22:12 2021 memory use: 2189.6 MB
  193. Wed Jan 13 20:22:12 2021 distribution of cycle lengths:
  194. Wed Jan 13 20:22:12 2021 1 relations: 402029
  195. Wed Jan 13 20:22:12 2021 2 relations: 558975
  196. Wed Jan 13 20:22:12 2021 3 relations: 703881
  197. Wed Jan 13 20:22:12 2021 4 relations: 767743
  198. Wed Jan 13 20:22:12 2021 5 relations: 828087
  199. Wed Jan 13 20:22:12 2021 6 relations: 839697
  200. Wed Jan 13 20:22:12 2021 7 relations: 836705
  201. Wed Jan 13 20:22:12 2021 8 relations: 797251
  202. Wed Jan 13 20:22:12 2021 9 relations: 742439
  203. Wed Jan 13 20:22:12 2021 10+ relations: 3480194
  204. Wed Jan 13 20:22:12 2021 heaviest cycle: 28 relations
  205. Wed Jan 13 20:22:33 2021 RelProcTime: 10563
  206. Wed Jan 13 20:22:33 2021
  207. Wed Jan 13 20:22:33 2021 commencing linear algebra
  208. Wed Jan 13 20:22:35 2021 read 9957001 cycles
  209. Wed Jan 13 20:22:55 2021 cycles contain 31006952 unique relations
  210. Wed Jan 13 20:30:51 2021 read 31006952 relations
  211. Wed Jan 13 20:31:48 2021 using 20 quadratic characters above 2147483270
  212. Wed Jan 13 20:33:57 2021 building initial matrix
  213. Wed Jan 13 20:40:29 2021 memory use: 3893.9 MB
  214. Wed Jan 13 20:40:41 2021 read 9957001 cycles
  215. Wed Jan 13 20:40:44 2021 matrix is 9956824 x 9957001 (4522.6 MB) with weight 1284080288 (128.96/col)
  216. Wed Jan 13 20:40:44 2021 sparse part has weight 1076054660 (108.07/col)
  217. Wed Jan 13 20:42:47 2021 filtering completed in 2 passes
  218. Wed Jan 13 20:42:50 2021 matrix is 9956575 x 9956752 (4522.6 MB) with weight 1284071892 (128.96/col)
  219. Wed Jan 13 20:42:50 2021 sparse part has weight 1076051254 (108.07/col)
  220. Wed Jan 13 20:44:09 2021 matrix starts at (0, 0)
  221. Wed Jan 13 20:44:11 2021 matrix is 9956575 x 9956752 (4522.6 MB) with weight 1284071892 (128.96/col)
  222. Wed Jan 13 20:44:11 2021 sparse part has weight 1076051254 (108.07/col)
  223. Wed Jan 13 20:44:11 2021 saving the first 48 matrix rows for later
  224. Wed Jan 13 20:44:14 2021 matrix includes 64 packed rows
  225. Wed Jan 13 20:44:16 2021 matrix is 9956527 x 9956752 (4333.2 MB) with weight 1106489210 (111.13/col)
  226. Wed Jan 13 20:44:16 2021 sparse part has weight 1036353511 (104.09/col)
  227. Wed Jan 13 20:44:16 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  228. Wed Jan 13 20:45:10 2021 commencing Lanczos iteration (8 threads)
  229. Wed Jan 13 20:45:10 2021 memory use: 3701.6 MB
  230. Wed Jan 13 20:46:30 2021 linear algebra at 0.0%, ETA 140h21m
  231. Wed Jan 13 20:46:55 2021 checkpointing every 80000 dimensions
  232. Tue Jan 19 13:50:30 2021 lanczos halted after 157456 iterations (dim = 9956526)
  233. Tue Jan 19 13:50:53 2021 recovered 38 nontrivial dependencies
  234. Tue Jan 19 13:51:09 2021 BLanczosTime: 494916
  235. Tue Jan 19 13:51:09 2021
  236. Tue Jan 19 13:51:09 2021 commencing square root phase
  237. Tue Jan 19 13:51:09 2021 handling dependencies 1 to 64
  238. Tue Jan 19 13:51:09 2021 reading relations for dependency 1
  239. Tue Jan 19 13:51:11 2021 read 4980186 cycles
  240. Tue Jan 19 13:51:20 2021 cycles contain 15504050 unique relations
  241. Tue Jan 19 13:59:05 2021 read 15504050 relations
  242. Tue Jan 19 14:00:31 2021 multiplying 15504050 relations
  243. Tue Jan 19 14:12:49 2021 multiply complete, coefficients have about 400.96 million bits
  244. Tue Jan 19 14:12:55 2021 initial square root is modulo 15647693
  245. Tue Jan 19 14:28:16 2021 sqrtTime: 2227
  246. Tue Jan 19 14:28:16 2021 prp83 factor: 96217143903778444213232889302950053378903523564203636295750346599109673025775414237
  247. Tue Jan 19 14:28:16 2021 prp137 factor: 12189202347009769439552144614468655498453008619816131728123032160564145930476181940772930275246894765334786955743652828573524219722854439
  248. Tue Jan 19 14:28:16 2021 elapsed time 141:01:47
  249.  
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