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7p6_328

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May 27th, 2021
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  1. Tue May 18 22:48:19 2021
  2. Tue May 18 22:48:19 2021
  3. Tue May 18 22:48:19 2021 Msieve v. 1.54 (SVN 1040M)
  4. Tue May 18 22:48:19 2021 random seeds: a3c8b010 63474856
  5. Tue May 18 22:48:19 2021 factoring 520476308247760291706668402419557968257470526290131722943177572743408370586200087846748803293653626312968535411903171167171394957556688391451093513910814050986370615224717192377331409969 (186 digits)
  6. Tue May 18 22:48:20 2021 searching for 15-digit factors
  7. Tue May 18 22:48:20 2021 commencing number field sieve (186-digit input)
  8. Tue May 18 22:48:20 2021 R0: -1057827723833603850609305966478263888
  9. Tue May 18 22:48:20 2021 R1: 129601518453461131
  10. Tue May 18 22:48:20 2021 A0: -704076982248844441540115754442996564599910941
  11. Tue May 18 22:48:20 2021 A1: 36955389710967166750933286569042950332
  12. Tue May 18 22:48:20 2021 A2: 1125889236528847272911259329064
  13. Tue May 18 22:48:20 2021 A3: -17439737734726120527612
  14. Tue May 18 22:48:20 2021 A4: -146010120273503
  15. Tue May 18 22:48:20 2021 A5: 392940
  16. Tue May 18 22:48:20 2021 skew 94322036.47, size 3.595e-18, alpha -7.131, combined = 3.837e-14 rroots = 5
  17. Tue May 18 22:48:20 2021
  18. Tue May 18 22:48:20 2021 commencing relation filtering
  19. Tue May 18 22:48:20 2021 setting target matrix density to 100.0
  20. Tue May 18 22:48:20 2021 estimated available RAM is 32768.0 MB
  21. Tue May 18 22:48:20 2021 commencing duplicate removal, pass 1
  22. Tue May 18 22:55:26 2021 error -1 reading relation 56149454
  23. Tue May 18 22:59:09 2021 error -5 reading relation 85351737
  24. Tue May 18 23:02:59 2021 error -15 reading relation 115393016
  25. Tue May 18 23:04:01 2021 error -15 reading relation 123464737
  26. Tue May 18 23:14:16 2021 error -11 reading relation 203839308
  27. Tue May 18 23:14:48 2021 error -1 reading relation 208027769
  28. Tue May 18 23:19:15 2021 error -11 reading relation 242854338
  29. Tue May 18 23:19:15 2021 error -15 reading relation 242854364
  30. Tue May 18 23:19:15 2021 error -11 reading relation 242854714
  31. Tue May 18 23:19:15 2021 error -15 reading relation 242854922
  32. Tue May 18 23:19:15 2021 error -11 reading relation 242854949
  33. Tue May 18 23:32:04 2021 skipped 5 relations with composite factors
  34. Tue May 18 23:32:04 2021 found 24739143 hash collisions in 343282066 relations
  35. Tue May 18 23:32:29 2021 added 121929 free relations
  36. Tue May 18 23:32:29 2021 commencing duplicate removal, pass 2
  37. Tue May 18 23:47:42 2021 found 37 duplicates and 343403958 unique relations
  38. Tue May 18 23:47:42 2021 memory use: 1257.5 MB
  39. Tue May 18 23:47:43 2021 reading ideals above 220004352
  40. Tue May 18 23:47:43 2021 commencing singleton removal, initial pass
  41. Wed May 19 00:22:25 2021 memory use: 6024.0 MB
  42. Wed May 19 00:22:26 2021 reading all ideals from disk
  43. Wed May 19 00:24:59 2021 memory use: 6496.9 MB
  44. Wed May 19 00:25:24 2021 commencing in-memory singleton removal
  45. Wed May 19 00:25:49 2021 begin with 343403958 relations and 311071185 unique ideals
  46. Wed May 19 00:30:19 2021 reduce to 207137508 relations and 159627600 ideals in 17 passes
  47. Wed May 19 00:30:19 2021 max relations containing the same ideal: 29
  48. Wed May 19 00:30:51 2021 reading ideals above 720000
  49. Wed May 19 00:30:52 2021 commencing singleton removal, initial pass
  50. Wed May 19 01:01:37 2021 memory use: 5512.0 MB
  51. Wed May 19 01:01:38 2021 reading all ideals from disk
  52. Wed May 19 01:05:03 2021 memory use: 8688.7 MB
  53. Wed May 19 01:05:45 2021 keeping 182813861 ideals with weight <= 200, target excess is 1058768
  54. Wed May 19 01:06:22 2021 commencing in-memory singleton removal
  55. Wed May 19 01:06:47 2021 begin with 207137508 relations and 182813861 unique ideals
  56. Wed May 19 01:11:22 2021 reduce to 207126367 relations and 182802720 ideals in 11 passes
  57. Wed May 19 01:11:22 2021 max relations containing the same ideal: 200
  58. Wed May 19 01:13:53 2021 removing 14823593 relations and 12823593 ideals in 2000000 cliques
  59. Wed May 19 01:14:02 2021 commencing in-memory singleton removal
  60. Wed May 19 01:14:25 2021 begin with 192302774 relations and 182802720 unique ideals
  61. Wed May 19 01:17:55 2021 reduce to 191426357 relations and 169091047 ideals in 9 passes
  62. Wed May 19 01:17:55 2021 max relations containing the same ideal: 198
  63. Wed May 19 01:20:16 2021 removing 11161468 relations and 9161468 ideals in 2000000 cliques
  64. Wed May 19 01:20:24 2021 commencing in-memory singleton removal
  65. Wed May 19 01:20:46 2021 begin with 180264889 relations and 169091047 unique ideals
  66. Wed May 19 01:24:40 2021 reduce to 179707189 relations and 159365647 ideals in 11 passes
  67. Wed May 19 01:24:40 2021 max relations containing the same ideal: 192
  68. Wed May 19 01:26:53 2021 removing 10045653 relations and 8045653 ideals in 2000000 cliques
  69. Wed May 19 01:27:00 2021 commencing in-memory singleton removal
  70. Wed May 19 01:27:21 2021 begin with 169661536 relations and 159365647 unique ideals
  71. Wed May 19 01:29:41 2021 reduce to 169177080 relations and 150830249 ideals in 7 passes
  72. Wed May 19 01:29:41 2021 max relations containing the same ideal: 186
  73. Wed May 19 01:31:47 2021 removing 9457380 relations and 7457380 ideals in 2000000 cliques
  74. Wed May 19 01:31:53 2021 commencing in-memory singleton removal
  75. Wed May 19 01:32:12 2021 begin with 159719700 relations and 150830249 unique ideals
  76. Wed May 19 01:34:40 2021 reduce to 159263695 relations and 142911714 ideals in 8 passes
  77. Wed May 19 01:34:40 2021 max relations containing the same ideal: 178
  78. Wed May 19 01:36:39 2021 removing 9095862 relations and 7095862 ideals in 2000000 cliques
  79. Wed May 19 01:36:45 2021 commencing in-memory singleton removal
  80. Wed May 19 01:37:02 2021 begin with 150167833 relations and 142911714 unique ideals
  81. Wed May 19 01:39:13 2021 reduce to 149719705 relations and 135362625 ideals in 8 passes
  82. Wed May 19 01:39:13 2021 max relations containing the same ideal: 174
  83. Wed May 19 01:41:06 2021 removing 8862287 relations and 6862287 ideals in 2000000 cliques
  84. Wed May 19 01:41:12 2021 commencing in-memory singleton removal
  85. Wed May 19 01:41:28 2021 begin with 140857418 relations and 135362625 unique ideals
  86. Wed May 19 01:43:35 2021 reduce to 140404623 relations and 128042143 ideals in 8 passes
  87. Wed May 19 01:43:35 2021 max relations containing the same ideal: 164
  88. Wed May 19 01:45:21 2021 removing 8714031 relations and 6714031 ideals in 2000000 cliques
  89. Wed May 19 01:45:27 2021 commencing in-memory singleton removal
  90. Wed May 19 01:45:41 2021 begin with 131690592 relations and 128042143 unique ideals
  91. Wed May 19 01:47:26 2021 reduce to 131225449 relations and 120857127 ideals in 7 passes
  92. Wed May 19 01:47:26 2021 max relations containing the same ideal: 162
  93. Wed May 19 01:49:04 2021 removing 8635980 relations and 6635980 ideals in 2000000 cliques
  94. Wed May 19 01:49:10 2021 commencing in-memory singleton removal
  95. Wed May 19 01:49:24 2021 begin with 122589469 relations and 120857127 unique ideals
  96. Wed May 19 01:51:13 2021 reduce to 122100834 relations and 113725945 ideals in 8 passes
  97. Wed May 19 01:51:13 2021 max relations containing the same ideal: 153
  98. Wed May 19 01:52:45 2021 removing 8611452 relations and 6611452 ideals in 2000000 cliques
  99. Wed May 19 01:52:50 2021 commencing in-memory singleton removal
  100. Wed May 19 01:53:03 2021 begin with 113489382 relations and 113725945 unique ideals
  101. Wed May 19 01:54:42 2021 reduce to 112966791 relations and 106584383 ideals in 8 passes
  102. Wed May 19 01:54:42 2021 max relations containing the same ideal: 144
  103. Wed May 19 01:56:07 2021 removing 8626245 relations and 6626245 ideals in 2000000 cliques
  104. Wed May 19 01:56:12 2021 commencing in-memory singleton removal
  105. Wed May 19 01:56:24 2021 begin with 104340546 relations and 106584383 unique ideals
  106. Wed May 19 01:58:05 2021 reduce to 103768769 relations and 99377442 ideals in 9 passes
  107. Wed May 19 01:58:05 2021 max relations containing the same ideal: 133
  108. Wed May 19 01:59:24 2021 removing 8693619 relations and 6693619 ideals in 2000000 cliques
  109. Wed May 19 01:59:28 2021 commencing in-memory singleton removal
  110. Wed May 19 01:59:39 2021 begin with 95075150 relations and 99377442 unique ideals
  111. Wed May 19 02:01:20 2021 reduce to 94435461 relations and 92033542 ideals in 10 passes
  112. Wed May 19 02:01:20 2021 max relations containing the same ideal: 129
  113. Wed May 19 02:02:32 2021 removing 5774148 relations and 4600400 ideals in 1173748 cliques
  114. Wed May 19 02:02:37 2021 commencing in-memory singleton removal
  115. Wed May 19 02:02:46 2021 begin with 88661313 relations and 92033542 unique ideals
  116. Wed May 19 02:04:00 2021 reduce to 88365914 relations and 87134586 ideals in 8 passes
  117. Wed May 19 02:04:00 2021 max relations containing the same ideal: 126
  118. Wed May 19 02:05:19 2021 relations with 0 large ideals: 3791
  119. Wed May 19 02:05:19 2021 relations with 1 large ideals: 8867
  120. Wed May 19 02:05:19 2021 relations with 2 large ideals: 148400
  121. Wed May 19 02:05:19 2021 relations with 3 large ideals: 1175475
  122. Wed May 19 02:05:19 2021 relations with 4 large ideals: 5105675
  123. Wed May 19 02:05:19 2021 relations with 5 large ideals: 13392814
  124. Wed May 19 02:05:19 2021 relations with 6 large ideals: 22190786
  125. Wed May 19 02:05:19 2021 relations with 7+ large ideals: 46340106
  126. Wed May 19 02:05:19 2021 commencing 2-way merge
  127. Wed May 19 02:06:54 2021 reduce to 55430101 relation sets and 54198773 unique ideals
  128. Wed May 19 02:06:54 2021 commencing full merge
  129. Wed May 19 02:35:42 2021 memory use: 6410.0 MB
  130. Wed May 19 02:36:06 2021 found 26021559 cycles, need 25884973
  131. Wed May 19 02:36:07 2021 weight of 25884973 cycles is about 2588669222 (100.01/cycle)
  132. Wed May 19 02:36:07 2021 distribution of cycle lengths:
  133. Wed May 19 02:36:07 2021 1 relations: 2539025
  134. Wed May 19 02:36:07 2021 2 relations: 2314427
  135. Wed May 19 02:36:07 2021 3 relations: 2345846
  136. Wed May 19 02:36:07 2021 4 relations: 2208347
  137. Wed May 19 02:36:07 2021 5 relations: 2146628
  138. Wed May 19 02:36:07 2021 6 relations: 2026825
  139. Wed May 19 02:36:07 2021 7 relations: 1882098
  140. Wed May 19 02:36:07 2021 8 relations: 1709339
  141. Wed May 19 02:36:07 2021 9 relations: 1547816
  142. Wed May 19 02:36:07 2021 10+ relations: 7164622
  143. Wed May 19 02:36:07 2021 heaviest cycle: 26 relations
  144. Wed May 19 02:36:29 2021 commencing cycle optimization
  145. Wed May 19 03:10:15 2021 start with 182252452 relations
  146. Wed May 19 08:15:43 2021 pruned 6001414 relations
  147. Wed May 19 08:15:43 2021 memory use: 5488.8 MB
  148. Wed May 19 08:15:44 2021 distribution of cycle lengths:
  149. Wed May 19 08:15:44 2021 1 relations: 2539025
  150. Wed May 19 08:15:44 2021 2 relations: 2375822
  151. Wed May 19 08:15:44 2021 3 relations: 2438386
  152. Wed May 19 08:15:44 2021 4 relations: 2281966
  153. Wed May 19 08:15:44 2021 5 relations: 2224618
  154. Wed May 19 08:15:44 2021 6 relations: 2085068
  155. Wed May 19 08:15:44 2021 7 relations: 1935340
  156. Wed May 19 08:15:44 2021 8 relations: 1746329
  157. Wed May 19 08:15:44 2021 9 relations: 1574545
  158. Wed May 19 08:15:44 2021 10+ relations: 6683874
  159. Wed May 19 08:15:44 2021 heaviest cycle: 26 relations
  160. Wed May 19 08:17:52 2021 RelProcTime: 34172
  161. Wed May 19 08:17:52 2021 elapsed time 09:29:33
  162. Wed May 19 08:36:55 2021
  163. Wed May 19 08:36:55 2021
  164. Wed May 19 08:36:55 2021 Msieve v. 1.54 (SVN 1040M)
  165. Wed May 19 08:36:55 2021 random seeds: 55235856 fa5857b3
  166. Wed May 19 08:36:55 2021 factoring 520476308247760291706668402419557968257470526290131722943177572743408370586200087846748803293653626312968535411903171167171394957556688391451093513910814050986370615224717192377331409969 (186 digits)
  167. Wed May 19 08:36:55 2021 searching for 15-digit factors
  168. Wed May 19 08:36:55 2021 commencing number field sieve (186-digit input)
  169. Wed May 19 08:36:55 2021 R0: -1057827723833603850609305966478263888
  170. Wed May 19 08:36:55 2021 R1: 129601518453461131
  171. Wed May 19 08:36:55 2021 A0: -704076982248844441540115754442996564599910941
  172. Wed May 19 08:36:55 2021 A1: 36955389710967166750933286569042950332
  173. Wed May 19 08:36:55 2021 A2: 1125889236528847272911259329064
  174. Wed May 19 08:36:55 2021 A3: -17439737734726120527612
  175. Wed May 19 08:36:55 2021 A4: -146010120273503
  176. Wed May 19 08:36:55 2021 A5: 392940
  177. Wed May 19 08:36:55 2021 skew 94322036.47, size 3.595e-18, alpha -7.131, combined = 3.837e-14 rroots = 5
  178. Wed May 19 08:36:55 2021
  179. Wed May 19 08:36:55 2021 commencing linear algebra
  180. Wed May 19 08:37:00 2021 read 25884973 cycles
  181. Wed May 19 08:38:14 2021 cycles contain 87494091 unique relations
  182. Wed May 19 08:53:10 2021 read 87494091 relations
  183. Wed May 19 09:00:19 2021 using 20 quadratic characters above 4294917295
  184. Wed May 19 09:06:27 2021 building initial matrix
  185. Wed May 19 09:30:35 2021 memory use: 12219.1 MB
  186. Wed May 19 09:35:07 2021 read 25884973 cycles
  187. Wed May 19 09:35:18 2021 matrix is 25884792 x 25884973 (10601.4 MB) with weight 3233978203 (124.94/col)
  188. Wed May 19 09:35:18 2021 sparse part has weight 2468468015 (95.36/col)
  189. Wed May 19 09:43:16 2021 filtering completed in 2 passes
  190. Wed May 19 09:43:22 2021 matrix is 25881063 x 25881244 (10601.1 MB) with weight 3233823492 (124.95/col)
  191. Wed May 19 09:43:22 2021 sparse part has weight 2468428459 (95.38/col)
  192. Wed May 19 09:51:10 2021 matrix starts at (0, 0)
  193. Wed May 19 09:51:13 2021 matrix is 25881063 x 25881244 (10601.1 MB) with weight 3233823492 (124.95/col)
  194. Wed May 19 09:51:13 2021 sparse part has weight 2468428459 (95.38/col)
  195. Wed May 19 09:51:13 2021 saving the first 48 matrix rows for later
  196. Wed May 19 09:51:17 2021 matrix includes 64 packed rows
  197. Wed May 19 09:51:19 2021 matrix is 25881015 x 25881244 (10257.9 MB) with weight 2709908306 (104.71/col)
  198. Wed May 19 09:51:19 2021 sparse part has weight 2430235438 (93.90/col)
  199. Wed May 19 09:51:19 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  200. Wed May 19 09:53:16 2021 commencing Lanczos iteration
  201. Wed May 19 09:53:16 2021 memory use: 9953.3 MB
  202. Wed May 19 09:58:09 2021 lanczos halted after 7 iterations (dim = 442)
  203. Wed May 19 09:58:17 2021 BLanczosTime: 4882
  204. Wed May 19 09:58:17 2021 elapsed time 01:21:22
  205. Wed May 19 09:59:04 2021
  206. Wed May 19 09:59:04 2021
  207. Wed May 19 09:59:04 2021 Msieve v. 1.54 (SVN 1040M)
  208. Wed May 19 09:59:04 2021 random seeds: 9ec60f41 9146eb59
  209. Wed May 19 09:59:04 2021 factoring 520476308247760291706668402419557968257470526290131722943177572743408370586200087846748803293653626312968535411903171167171394957556688391451093513910814050986370615224717192377331409969 (186 digits)
  210. Wed May 19 09:59:05 2021 searching for 15-digit factors
  211. Wed May 19 09:59:05 2021 commencing number field sieve (186-digit input)
  212. Wed May 19 09:59:05 2021 R0: -1057827723833603850609305966478263888
  213. Wed May 19 09:59:05 2021 R1: 129601518453461131
  214. Wed May 19 09:59:05 2021 A0: -704076982248844441540115754442996564599910941
  215. Wed May 19 09:59:05 2021 A1: 36955389710967166750933286569042950332
  216. Wed May 19 09:59:05 2021 A2: 1125889236528847272911259329064
  217. Wed May 19 09:59:05 2021 A3: -17439737734726120527612
  218. Wed May 19 09:59:05 2021 A4: -146010120273503
  219. Wed May 19 09:59:05 2021 A5: 392940
  220. Wed May 19 09:59:05 2021 skew 94322036.47, size 3.595e-18, alpha -7.131, combined = 3.837e-14 rroots = 5
  221. Wed May 19 09:59:05 2021
  222. Wed May 19 09:59:05 2021 commencing linear algebra
  223. Wed May 19 10:01:38 2021 matrix starts at (0, 0)
  224. Wed May 19 10:01:41 2021 matrix is 25881063 x 25881244 (10601.1 MB) with weight 3233823492 (124.95/col)
  225. Wed May 19 10:01:41 2021 sparse part has weight 2468428459 (95.38/col)
  226. Wed May 19 10:01:41 2021 saving the first 48 matrix rows for later
  227. Wed May 19 10:01:44 2021 matrix includes 64 packed rows
  228. Wed May 19 10:01:46 2021 matrix is 25881015 x 25881244 (10257.9 MB) with weight 2709908306 (104.71/col)
  229. Wed May 19 10:01:46 2021 sparse part has weight 2430235438 (93.90/col)
  230. Wed May 19 10:01:46 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  231. Wed May 19 10:03:21 2021 commencing Lanczos iteration (16 threads)
  232. Wed May 19 10:03:21 2021 memory use: 9953.6 MB
  233. Wed May 19 10:03:22 2021 restarting at iteration 7 (dim = 442)
  234. Wed May 19 10:03:59 2021 linear algebra at 0.0%, ETA 175h26m
  235. Wed May 19 10:04:01 2021 checkpointing every 150000 dimensions
  236. Wed May 19 10:05:17 2021 lanczos halted after 66 iterations (dim = 4176)
  237. Wed May 19 10:05:25 2021 BLanczosTime: 380
  238. Wed May 19 10:05:25 2021 elapsed time 00:06:21
  239. Fri May 21 11:56:34 2021
  240. Fri May 21 11:56:34 2021
  241. Fri May 21 11:56:34 2021 Msieve v. 1.54 (SVN 1040M)
  242. Fri May 21 11:56:34 2021 random seeds: b9f9e989 36ef6d2d
  243. Fri May 21 11:56:34 2021 factoring 520476308247760291706668402419557968257470526290131722943177572743408370586200087846748803293653626312968535411903171167171394957556688391451093513910814050986370615224717192377331409969 (186 digits)
  244. Fri May 21 11:56:35 2021 searching for 15-digit factors
  245. Fri May 21 11:56:35 2021 commencing number field sieve (186-digit input)
  246. Fri May 21 11:56:35 2021 commencing number field sieve polynomial selection
  247. Fri May 21 11:56:35 2021 polynomial degree: 5
  248. Fri May 21 11:56:35 2021 max stage 1 norm: 1.29e+28
  249. Fri May 21 11:56:35 2021 max stage 2 norm: 4.02e+26
  250. Fri May 21 11:56:35 2021 min E-value: 1.59e-14
  251. Fri May 21 11:56:35 2021 poly select deadline: 1079999
  252. Fri May 21 11:56:35 2021 time limit set to 300.00 CPU-hours
  253. Fri May 21 11:56:35 2021 expecting poly E from 3.97e-14 to > 4.57e-14
  254. Fri May 21 11:56:35 2021 searching leading coefficients from 1 to 643722654
  255. Fri May 21 12:32:05 2021 polynomial selection complete
  256. Fri May 21 12:32:05 2021 R0: -5338803569584923302391751378021352619
  257. Fri May 21 12:32:05 2021 R1: 507788067688281851
  258. Fri May 21 12:32:05 2021 A0: 25253829781888377940847424728740788893332354023173200
  259. Fri May 21 12:32:05 2021 A1: 497281619401462442704498834958022059650810
  260. Fri May 21 12:32:05 2021 A2: -4575778372544617044863129854278641
  261. Fri May 21 12:32:05 2021 A3: -731520799335077648082667
  262. Fri May 21 12:32:05 2021 A4: 24951104819293
  263. Fri May 21 12:32:05 2021 A5: 120
  264. Fri May 21 12:32:05 2021 skew 14409699108.91, size 1.260e-18, alpha -8.875, combined = 1.890e-14 rroots = 3
  265. Fri May 21 12:32:05 2021 elapsed time 00:35:31
  266. Fri May 21 12:32:45 2021
  267. Fri May 21 12:32:45 2021
  268. Fri May 21 12:32:45 2021 Msieve v. 1.54 (SVN 1040M)
  269. Fri May 21 12:32:45 2021 random seeds: 550d7105 3adb24c4
  270. Fri May 21 12:32:45 2021 factoring 520476308247760291706668402419557968257470526290131722943177572743408370586200087846748803293653626312968535411903171167171394957556688391451093513910814050986370615224717192377331409969 (186 digits)
  271. Fri May 21 12:32:46 2021 searching for 15-digit factors
  272. Fri May 21 12:32:46 2021 commencing number field sieve (186-digit input)
  273. Fri May 21 12:32:46 2021 R0: -1057827723833603850609305966478263888
  274. Fri May 21 12:32:46 2021 R1: 129601518453461131
  275. Fri May 21 12:32:46 2021 A0: -704076982248844441540115754442996564599910941
  276. Fri May 21 12:32:46 2021 A1: 36955389710967166750933286569042950332
  277. Fri May 21 12:32:46 2021 A2: 1125889236528847272911259329064
  278. Fri May 21 12:32:46 2021 A3: -17439737734726120527612
  279. Fri May 21 12:32:46 2021 A4: -146010120273503
  280. Fri May 21 12:32:46 2021 A5: 392940
  281. Fri May 21 12:32:46 2021 skew 94322036.47, size 3.595e-18, alpha -7.131, combined = 3.837e-14 rroots = 5
  282. Fri May 21 12:32:46 2021
  283. Fri May 21 12:32:46 2021 commencing relation filtering
  284. Fri May 21 12:32:46 2021 setting target matrix density to 124.0
  285. Fri May 21 12:32:46 2021 estimated available RAM is 32768.0 MB
  286. Fri May 21 12:32:46 2021 commencing duplicate removal, pass 1
  287. Fri May 21 12:38:57 2021 error -1 reading relation 56149454
  288. Fri May 21 12:42:09 2021 error -5 reading relation 85351737
  289. Fri May 21 12:45:28 2021 error -15 reading relation 115393016
  290. Fri May 21 12:46:21 2021 error -15 reading relation 123464737
  291. Fri May 21 12:55:10 2021 error -11 reading relation 203839308
  292. Fri May 21 12:55:38 2021 error -1 reading relation 208027769
  293. Fri May 21 12:59:27 2021 error -11 reading relation 242854338
  294. Fri May 21 12:59:27 2021 error -15 reading relation 242854364
  295. Fri May 21 12:59:27 2021 error -11 reading relation 242854714
  296. Fri May 21 12:59:27 2021 error -15 reading relation 242854922
  297. Fri May 21 12:59:27 2021 error -11 reading relation 242854949
  298. Fri May 21 13:12:28 2021 error -11 reading relation 361208081
  299. Fri May 21 13:12:53 2021 skipped 5 relations with composite factors
  300. Fri May 21 13:12:53 2021 found 27782996 hash collisions in 364952402 relations
  301. Fri May 21 13:13:15 2021 added 121929 free relations
  302. Fri May 21 13:13:15 2021 commencing duplicate removal, pass 2
  303. Fri May 21 13:28:57 2021 found 40 duplicates and 365074291 unique relations
  304. Fri May 21 13:28:57 2021 memory use: 1321.5 MB
  305. Fri May 21 13:28:57 2021 reading ideals above 234946560
  306. Fri May 21 13:28:57 2021 commencing singleton removal, initial pass
  307. Fri May 21 13:58:26 2021 memory use: 6024.0 MB
  308. Fri May 21 13:58:27 2021 reading all ideals from disk
  309. Fri May 21 14:01:05 2021 memory use: 6841.1 MB
  310. Fri May 21 14:01:20 2021 commencing in-memory singleton removal
  311. Fri May 21 14:01:35 2021 begin with 365074291 relations and 315552161 unique ideals
  312. Fri May 21 14:04:05 2021 reduce to 237943072 relations and 175698816 ideals in 15 passes
  313. Fri May 21 14:04:05 2021 max relations containing the same ideal: 51
  314. Fri May 21 14:04:34 2021 reading ideals above 720000
  315. Fri May 21 14:04:35 2021 commencing singleton removal, initial pass
  316. Fri May 21 14:31:04 2021 memory use: 5512.0 MB
  317. Fri May 21 14:31:04 2021 reading all ideals from disk
  318. Fri May 21 14:34:56 2021 memory use: 9989.3 MB
  319. Fri May 21 14:35:20 2021 keeping 200278434 ideals with weight <= 200, target excess is 1216968
  320. Fri May 21 14:35:45 2021 commencing in-memory singleton removal
  321. Fri May 21 14:36:04 2021 begin with 237943072 relations and 200278434 unique ideals
  322. Fri May 21 14:38:20 2021 reduce to 237934837 relations and 200270199 ideals in 8 passes
  323. Fri May 21 14:38:20 2021 max relations containing the same ideal: 200
  324. Fri May 21 14:40:01 2021 removing 13512499 relations and 11512499 ideals in 2000000 cliques
  325. Fri May 21 14:40:08 2021 commencing in-memory singleton removal
  326. Fri May 21 14:40:25 2021 begin with 224422338 relations and 200270199 unique ideals
  327. Fri May 21 14:42:50 2021 reduce to 223817501 relations and 188145990 ideals in 9 passes
  328. Fri May 21 14:42:51 2021 max relations containing the same ideal: 199
  329. Fri May 21 14:44:25 2021 removing 10202382 relations and 8202382 ideals in 2000000 cliques
  330. Fri May 21 14:44:31 2021 commencing in-memory singleton removal
  331. Fri May 21 14:44:48 2021 begin with 213615119 relations and 188145990 unique ideals
  332. Fri May 21 14:46:35 2021 reduce to 213230805 relations and 179555692 ideals in 7 passes
  333. Fri May 21 14:46:35 2021 max relations containing the same ideal: 195
  334. Fri May 21 14:48:05 2021 removing 9174955 relations and 7174955 ideals in 2000000 cliques
  335. Fri May 21 14:48:11 2021 commencing in-memory singleton removal
  336. Fri May 21 14:48:27 2021 begin with 204055850 relations and 179555692 unique ideals
  337. Fri May 21 14:50:08 2021 reduce to 203726416 relations and 172048115 ideals in 7 passes
  338. Fri May 21 14:50:08 2021 max relations containing the same ideal: 190
  339. Fri May 21 14:51:35 2021 removing 8620232 relations and 6620232 ideals in 2000000 cliques
  340. Fri May 21 14:51:41 2021 commencing in-memory singleton removal
  341. Fri May 21 14:51:56 2021 begin with 195106184 relations and 172048115 unique ideals
  342. Fri May 21 14:53:33 2021 reduce to 194799069 relations and 165117795 ideals in 7 passes
  343. Fri May 21 14:53:33 2021 max relations containing the same ideal: 185
  344. Fri May 21 14:54:56 2021 removing 8263796 relations and 6263796 ideals in 2000000 cliques
  345. Fri May 21 14:55:02 2021 commencing in-memory singleton removal
  346. Fri May 21 14:55:16 2021 begin with 186535273 relations and 165117795 unique ideals
  347. Fri May 21 14:57:02 2021 reduce to 186240425 relations and 158556279 ideals in 8 passes
  348. Fri May 21 14:57:02 2021 max relations containing the same ideal: 181
  349. Fri May 21 14:58:21 2021 removing 8018021 relations and 6018021 ideals in 2000000 cliques
  350. Fri May 21 14:58:26 2021 commencing in-memory singleton removal
  351. Fri May 21 14:58:40 2021 begin with 178222404 relations and 158556279 unique ideals
  352. Fri May 21 15:00:07 2021 reduce to 177933924 relations and 152246836 ideals in 7 passes
  353. Fri May 21 15:00:07 2021 max relations containing the same ideal: 177
  354. Fri May 21 15:01:24 2021 removing 7842209 relations and 5842209 ideals in 2000000 cliques
  355. Fri May 21 15:01:30 2021 commencing in-memory singleton removal
  356. Fri May 21 15:01:42 2021 begin with 170091715 relations and 152246836 unique ideals
  357. Fri May 21 15:03:06 2021 reduce to 169803206 relations and 146113176 ideals in 7 passes
  358. Fri May 21 15:03:06 2021 max relations containing the same ideal: 172
  359. Fri May 21 15:04:20 2021 removing 7718689 relations and 5718689 ideals in 2000000 cliques
  360. Fri May 21 15:04:25 2021 commencing in-memory singleton removal
  361. Fri May 21 15:04:37 2021 begin with 162084517 relations and 146113176 unique ideals
  362. Fri May 21 15:05:45 2021 reduce to 161791469 relations and 140098303 ideals in 6 passes
  363. Fri May 21 15:05:45 2021 max relations containing the same ideal: 167
  364. Fri May 21 15:06:56 2021 removing 7632799 relations and 5632799 ideals in 2000000 cliques
  365. Fri May 21 15:07:01 2021 commencing in-memory singleton removal
  366. Fri May 21 15:07:13 2021 begin with 154158670 relations and 140098303 unique ideals
  367. Fri May 21 15:08:28 2021 reduce to 153860904 relations and 134164448 ideals in 7 passes
  368. Fri May 21 15:08:28 2021 max relations containing the same ideal: 161
  369. Fri May 21 15:09:36 2021 removing 7575450 relations and 5575450 ideals in 2000000 cliques
  370. Fri May 21 15:09:41 2021 commencing in-memory singleton removal
  371. Fri May 21 15:09:52 2021 begin with 146285454 relations and 134164448 unique ideals
  372. Fri May 21 15:11:03 2021 reduce to 145978416 relations and 128278353 ideals in 7 passes
  373. Fri May 21 15:11:03 2021 max relations containing the same ideal: 155
  374. Fri May 21 15:12:08 2021 removing 7546582 relations and 5546582 ideals in 2000000 cliques
  375. Fri May 21 15:12:12 2021 commencing in-memory singleton removal
  376. Fri May 21 15:12:22 2021 begin with 138431834 relations and 128278353 unique ideals
  377. Fri May 21 15:13:39 2021 reduce to 138111653 relations and 122407737 ideals in 8 passes
  378. Fri May 21 15:13:39 2021 max relations containing the same ideal: 148
  379. Fri May 21 15:14:40 2021 removing 7535276 relations and 5535276 ideals in 2000000 cliques
  380. Fri May 21 15:14:45 2021 commencing in-memory singleton removal
  381. Fri May 21 15:14:54 2021 begin with 130576377 relations and 122407737 unique ideals
  382. Fri May 21 15:15:57 2021 reduce to 130240453 relations and 116532286 ideals in 7 passes
  383. Fri May 21 15:15:57 2021 max relations containing the same ideal: 142
  384. Fri May 21 15:16:55 2021 removing 7551930 relations and 5551930 ideals in 2000000 cliques
  385. Fri May 21 15:17:00 2021 commencing in-memory singleton removal
  386. Fri May 21 15:17:09 2021 begin with 122688523 relations and 116532286 unique ideals
  387. Fri May 21 15:18:16 2021 reduce to 122330851 relations and 110617946 ideals in 8 passes
  388. Fri May 21 15:18:16 2021 max relations containing the same ideal: 137
  389. Fri May 21 15:19:11 2021 removing 7582862 relations and 5582862 ideals in 2000000 cliques
  390. Fri May 21 15:19:15 2021 commencing in-memory singleton removal
  391. Fri May 21 15:19:23 2021 begin with 114747989 relations and 110617946 unique ideals
  392. Fri May 21 15:20:18 2021 reduce to 114365018 relations and 104646703 ideals in 7 passes
  393. Fri May 21 15:20:18 2021 max relations containing the same ideal: 132
  394. Fri May 21 15:21:10 2021 removing 7637626 relations and 5637626 ideals in 2000000 cliques
  395. Fri May 21 15:21:14 2021 commencing in-memory singleton removal
  396. Fri May 21 15:21:21 2021 begin with 106727392 relations and 104646703 unique ideals
  397. Fri May 21 15:22:12 2021 reduce to 106310332 relations and 98585711 ideals in 7 passes
  398. Fri May 21 15:22:12 2021 max relations containing the same ideal: 125
  399. Fri May 21 15:23:01 2021 removing 7716917 relations and 5716917 ideals in 2000000 cliques
  400. Fri May 21 15:23:04 2021 commencing in-memory singleton removal
  401. Fri May 21 15:23:11 2021 begin with 98593415 relations and 98585711 unique ideals
  402. Fri May 21 15:24:04 2021 reduce to 98132048 relations and 92400191 ideals in 8 passes
  403. Fri May 21 15:24:04 2021 max relations containing the same ideal: 117
  404. Fri May 21 15:24:50 2021 removing 7827522 relations and 5827522 ideals in 2000000 cliques
  405. Fri May 21 15:24:54 2021 commencing in-memory singleton removal
  406. Fri May 21 15:25:00 2021 begin with 90304526 relations and 92400191 unique ideals
  407. Fri May 21 15:25:54 2021 reduce to 89788914 relations and 86047997 ideals in 9 passes
  408. Fri May 21 15:25:54 2021 max relations containing the same ideal: 111
  409. Fri May 21 15:26:36 2021 removing 7966955 relations and 5966955 ideals in 2000000 cliques
  410. Fri May 21 15:26:39 2021 commencing in-memory singleton removal
  411. Fri May 21 15:26:45 2021 begin with 81821959 relations and 86047997 unique ideals
  412. Fri May 21 15:27:33 2021 reduce to 81230596 relations and 79478679 ideals in 9 passes
  413. Fri May 21 15:27:33 2021 max relations containing the same ideal: 104
  414. Fri May 21 15:28:11 2021 removing 1934260 relations and 1594026 ideals in 340234 cliques
  415. Fri May 21 15:28:14 2021 commencing in-memory singleton removal
  416. Fri May 21 15:28:19 2021 begin with 79296336 relations and 79478679 unique ideals
  417. Fri May 21 15:28:50 2021 reduce to 79263760 relations and 77851940 ideals in 6 passes
  418. Fri May 21 15:28:50 2021 max relations containing the same ideal: 103
  419. Fri May 21 15:29:36 2021 relations with 0 large ideals: 4370
  420. Fri May 21 15:29:36 2021 relations with 1 large ideals: 13453
  421. Fri May 21 15:29:36 2021 relations with 2 large ideals: 213087
  422. Fri May 21 15:29:36 2021 relations with 3 large ideals: 1531298
  423. Fri May 21 15:29:36 2021 relations with 4 large ideals: 5990470
  424. Fri May 21 15:29:36 2021 relations with 5 large ideals: 14090774
  425. Fri May 21 15:29:36 2021 relations with 6 large ideals: 20922324
  426. Fri May 21 15:29:36 2021 relations with 7+ large ideals: 36497984
  427. Fri May 21 15:29:36 2021 commencing 2-way merge
  428. Fri May 21 15:30:30 2021 reduce to 50375490 relation sets and 48963670 unique ideals
  429. Fri May 21 15:30:30 2021 commencing full merge
  430. Fri May 21 15:49:29 2021 memory use: 6046.8 MB
  431. Fri May 21 15:49:41 2021 found 22199445 cycles, need 22135870
  432. Fri May 21 15:49:42 2021 weight of 22135870 cycles is about 2745275687 (124.02/cycle)
  433. Fri May 21 15:49:42 2021 distribution of cycle lengths:
  434. Fri May 21 15:49:42 2021 1 relations: 1436929
  435. Fri May 21 15:49:42 2021 2 relations: 1521444
  436. Fri May 21 15:49:43 2021 3 relations: 1589661
  437. Fri May 21 15:49:43 2021 4 relations: 1570689
  438. Fri May 21 15:49:43 2021 5 relations: 1584550
  439. Fri May 21 15:49:43 2021 6 relations: 1533035
  440. Fri May 21 15:49:43 2021 7 relations: 1499204
  441. Fri May 21 15:49:43 2021 8 relations: 1424511
  442. Fri May 21 15:49:43 2021 9 relations: 1352866
  443. Fri May 21 15:49:43 2021 10+ relations: 8622981
  444. Fri May 21 15:49:43 2021 heaviest cycle: 28 relations
  445. Fri May 21 15:49:54 2021 commencing cycle optimization
  446. Fri May 21 15:50:47 2021 start with 191481598 relations
  447. Fri May 21 15:59:48 2021 pruned 8315552 relations
  448. Fri May 21 15:59:48 2021 memory use: 5223.1 MB
  449. Fri May 21 15:59:49 2021 distribution of cycle lengths:
  450. Fri May 21 15:59:49 2021 1 relations: 1436929
  451. Fri May 21 15:59:49 2021 2 relations: 1562850
  452. Fri May 21 15:59:49 2021 3 relations: 1657068
  453. Fri May 21 15:59:49 2021 4 relations: 1634794
  454. Fri May 21 15:59:49 2021 5 relations: 1657254
  455. Fri May 21 15:59:49 2021 6 relations: 1600326
  456. Fri May 21 15:59:49 2021 7 relations: 1568814
  457. Fri May 21 15:59:49 2021 8 relations: 1486265
  458. Fri May 21 15:59:49 2021 9 relations: 1407174
  459. Fri May 21 15:59:49 2021 10+ relations: 8124396
  460. Fri May 21 15:59:49 2021 heaviest cycle: 28 relations
  461. Fri May 21 16:01:05 2021 RelProcTime: 12499
  462. Fri May 21 16:01:05 2021
  463. Fri May 21 16:01:05 2021 commencing linear algebra
  464. Fri May 21 16:01:10 2021 read 22135870 cycles
  465. Fri May 21 16:02:00 2021 cycles contain 78474535 unique relations
  466. Fri May 21 16:17:37 2021 read 78474535 relations
  467. Fri May 21 16:21:18 2021 using 20 quadratic characters above 4294917295
  468. Fri May 21 16:26:23 2021 building initial matrix
  469. Fri May 21 16:41:40 2021 memory use: 11116.4 MB
  470. Fri May 21 16:46:07 2021 read 22135870 cycles
  471. Fri May 21 16:46:10 2021 matrix is 22135692 x 22135870 (10812.2 MB) with weight 3267119947 (147.59/col)
  472. Fri May 21 16:46:10 2021 sparse part has weight 2568712722 (116.04/col)
  473. Fri May 21 16:50:43 2021 filtering completed in 2 passes
  474. Fri May 21 16:50:47 2021 matrix is 22135221 x 22135399 (10812.1 MB) with weight 3267098781 (147.60/col)
  475. Fri May 21 16:50:47 2021 sparse part has weight 2568707175 (116.05/col)
  476. Fri May 21 16:56:00 2021 matrix starts at (0, 0)
  477. Fri May 21 16:56:03 2021 matrix is 22135221 x 22135399 (10812.1 MB) with weight 3267098781 (147.60/col)
  478. Fri May 21 16:56:03 2021 sparse part has weight 2568707175 (116.05/col)
  479. Fri May 21 16:56:03 2021 saving the first 48 matrix rows for later
  480. Fri May 21 16:56:06 2021 matrix includes 64 packed rows
  481. Fri May 21 16:56:07 2021 matrix is 22135173 x 22135399 (10495.4 MB) with weight 2805642385 (126.75/col)
  482. Fri May 21 16:56:07 2021 sparse part has weight 2529944816 (114.29/col)
  483. Fri May 21 16:56:07 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  484. Fri May 21 16:57:46 2021 commencing Lanczos iteration (16 threads)
  485. Fri May 21 16:57:46 2021 memory use: 10009.6 MB
  486. Fri May 21 16:58:22 2021 linear algebra at 0.0%, ETA 137h58m
  487. Fri May 21 16:58:34 2021 checkpointing every 160000 dimensions
  488. Thu May 27 14:15:27 2021 lanczos halted after 350059 iterations (dim = 22135173)
  489. Thu May 27 14:15:42 2021 recovered 30 nontrivial dependencies
  490. Thu May 27 14:15:53 2021 BLanczosTime: 512088
  491. Thu May 27 14:15:53 2021
  492. Thu May 27 14:15:53 2021 commencing square root phase
  493. Thu May 27 14:15:53 2021 handling dependencies 1 to 64
  494. Thu May 27 14:15:53 2021 reading relations for dependency 1
  495. Thu May 27 14:16:12 2021 read 11068285 cycles
  496. Thu May 27 14:16:36 2021 cycles contain 39239364 unique relations
  497. Thu May 27 14:42:20 2021 read 39239364 relations
  498. Thu May 27 14:45:43 2021 multiplying 39239364 relations
  499. Thu May 27 15:28:06 2021 multiply complete, coefficients have about 2332.15 million bits
  500. Thu May 27 15:28:18 2021 initial square root is modulo 170167
  501. Thu May 27 16:13:04 2021 sqrtTime: 7031
  502. Thu May 27 16:13:04 2021 p64 factor: 1945006717945075909827104617083050955402888436945247382872729729
  503. Thu May 27 16:13:04 2021 p123 factor: 267596149383818100902489947621852757042331690829847048300912269542749038923381923468502184006458401937397567499350221808561
  504. Thu May 27 16:13:04 2021 elapsed time 147:40:19
  505.  
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