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8p3_284

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May 29th, 2021
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  1. Wed May 26 22:49:43 2021
  2. Wed May 26 22:49:43 2021
  3. Wed May 26 22:49:43 2021 Msieve v. 1.52 (SVN unknown)
  4. Wed May 26 22:49:43 2021 random seeds: d4555f3c 645a1713
  5. Wed May 26 22:49:43 2021 factoring 6587016784929654143681177919981530605033554508740445599806155294446689164277196137435014228482541666699070369930236454621645355159581027342959922357092146253907225444325585611277532795226410239039457 (199 digits)
  6. Wed May 26 22:49:44 2021 no P-1/P+1/ECM available, skipping
  7. Wed May 26 22:49:44 2021 commencing number field sieve (199-digit input)
  8. Wed May 26 22:49:44 2021 R0: 2787593149816327892691964784081045188247552
  9. Wed May 26 22:49:44 2021 R1: -26588814358957503287787
  10. Wed May 26 22:49:44 2021 A0: 9
  11. Wed May 26 22:49:44 2021 A1: 0
  12. Wed May 26 22:49:44 2021 A2: 0
  13. Wed May 26 22:49:44 2021 A3: 0
  14. Wed May 26 22:49:44 2021 A4: 0
  15. Wed May 26 22:49:44 2021 A5: 0
  16. Wed May 26 22:49:44 2021 A6: 64
  17. Wed May 26 22:49:44 2021 skew 0.72, size 1.100e-012, alpha 0.124, combined = 1.261e-013 rroots = 0
  18. Wed May 26 22:49:44 2021
  19. Wed May 26 22:49:44 2021 commencing relation filtering
  20. Wed May 26 22:49:44 2021 setting target matrix density to 120.0
  21. Wed May 26 22:49:44 2021 estimated available RAM is 130978.7 MB
  22. Wed May 26 22:49:44 2021 commencing duplicate removal, pass 1
  23. Wed May 26 22:49:48 2021 error -9 reading relation 453306
  24. Wed May 26 22:50:33 2021 error -9 reading relation 5520920
  25. Wed May 26 22:52:26 2021 error -9 reading relation 14067930
  26. Wed May 26 22:52:26 2021 error -5 reading relation 14068041
  27. Wed May 26 22:52:35 2021 error -5 reading relation 14662876
  28. Wed May 26 22:53:13 2021 error -9 reading relation 17728059
  29. Wed May 26 23:53:41 2021 error -15 reading relation 266939369
  30. Wed May 26 23:53:46 2021 error -15 reading relation 267263431
  31. Wed May 26 23:53:46 2021 error -15 reading relation 267283092
  32. Wed May 26 23:53:58 2021 error -9 reading relation 268024749
  33. Wed May 26 23:54:00 2021 error -15 reading relation 268211459
  34. Wed May 26 23:54:01 2021 skipped 1185 relations with b > 2^32
  35. Wed May 26 23:54:01 2021 found 54400388 hash collisions in 268241759 relations
  36. Wed May 26 23:54:43 2021 added 1218608 free relations
  37. Wed May 26 23:54:43 2021 commencing duplicate removal, pass 2
  38. Wed May 26 23:58:09 2021 found 54244293 duplicates and 215216074 unique relations
  39. Wed May 26 23:58:09 2021 memory use: 1321.5 MB
  40. Wed May 26 23:58:09 2021 reading ideals above 720000
  41. Wed May 26 23:58:09 2021 commencing singleton removal, initial pass
  42. Thu May 27 01:06:12 2021 memory use: 5512.0 MB
  43. Thu May 27 01:06:13 2021 reading all ideals from disk
  44. Thu May 27 01:06:20 2021 memory use: 8857.3 MB
  45. Thu May 27 01:07:08 2021 keeping 183996183 ideals with weight <= 200, target excess is 1130311
  46. Thu May 27 01:07:58 2021 commencing in-memory singleton removal
  47. Thu May 27 01:08:38 2021 begin with 215216074 relations and 183996183 unique ideals
  48. Thu May 27 01:16:02 2021 reduce to 158557580 relations and 122848077 ideals in 14 passes
  49. Thu May 27 01:16:02 2021 max relations containing the same ideal: 172
  50. Thu May 27 01:18:08 2021 removing 9923220 relations and 7923220 ideals in 2000000 cliques
  51. Thu May 27 01:18:13 2021 commencing in-memory singleton removal
  52. Thu May 27 01:18:40 2021 begin with 148634360 relations and 122848077 unique ideals
  53. Thu May 27 01:23:03 2021 reduce to 148124810 relations and 114407001 ideals in 8 passes
  54. Thu May 27 01:23:03 2021 max relations containing the same ideal: 166
  55. Thu May 27 01:24:59 2021 removing 7661761 relations and 5661761 ideals in 2000000 cliques
  56. Thu May 27 01:25:03 2021 commencing in-memory singleton removal
  57. Thu May 27 01:25:27 2021 begin with 140463049 relations and 114407001 unique ideals
  58. Thu May 27 01:29:01 2021 reduce to 140121458 relations and 108398824 ideals in 7 passes
  59. Thu May 27 01:29:01 2021 max relations containing the same ideal: 159
  60. Thu May 27 01:30:43 2021 removing 7000293 relations and 5000293 ideals in 2000000 cliques
  61. Thu May 27 01:30:47 2021 commencing in-memory singleton removal
  62. Thu May 27 01:31:09 2021 begin with 133121165 relations and 108398824 unique ideals
  63. Thu May 27 01:33:55 2021 reduce to 132823376 relations and 103096478 ideals in 6 passes
  64. Thu May 27 01:33:55 2021 max relations containing the same ideal: 155
  65. Thu May 27 01:35:47 2021 removing 6660355 relations and 4660355 ideals in 2000000 cliques
  66. Thu May 27 01:35:51 2021 commencing in-memory singleton removal
  67. Thu May 27 01:36:14 2021 begin with 126163021 relations and 103096478 unique ideals
  68. Thu May 27 01:38:24 2021 reduce to 125884771 relations and 98153888 ideals in 6 passes
  69. Thu May 27 01:38:24 2021 max relations containing the same ideal: 151
  70. Thu May 27 01:40:08 2021 removing 6458639 relations and 4458639 ideals in 2000000 cliques
  71. Thu May 27 01:40:11 2021 commencing in-memory singleton removal
  72. Thu May 27 01:40:31 2021 begin with 119426132 relations and 98153888 unique ideals
  73. Thu May 27 01:43:13 2021 reduce to 119158888 relations and 93424067 ideals in 7 passes
  74. Thu May 27 01:43:13 2021 max relations containing the same ideal: 148
  75. Thu May 27 01:44:57 2021 removing 6317311 relations and 4317311 ideals in 2000000 cliques
  76. Thu May 27 01:45:00 2021 commencing in-memory singleton removal
  77. Thu May 27 01:45:20 2021 begin with 112841577 relations and 93424067 unique ideals
  78. Thu May 27 01:47:26 2021 reduce to 112577252 relations and 88838334 ideals in 6 passes
  79. Thu May 27 01:47:26 2021 max relations containing the same ideal: 141
  80. Thu May 27 01:49:00 2021 removing 6221304 relations and 4221304 ideals in 2000000 cliques
  81. Thu May 27 01:49:03 2021 commencing in-memory singleton removal
  82. Thu May 27 01:49:22 2021 begin with 106355948 relations and 88838334 unique ideals
  83. Thu May 27 01:51:31 2021 reduce to 106090138 relations and 84346923 ideals in 6 passes
  84. Thu May 27 01:51:31 2021 max relations containing the same ideal: 135
  85. Thu May 27 01:52:54 2021 removing 6152493 relations and 4152493 ideals in 2000000 cliques
  86. Thu May 27 01:52:57 2021 commencing in-memory singleton removal
  87. Thu May 27 01:53:15 2021 begin with 99937645 relations and 84346923 unique ideals
  88. Thu May 27 01:55:26 2021 reduce to 99668279 relations and 79920378 ideals in 7 passes
  89. Thu May 27 01:55:26 2021 max relations containing the same ideal: 131
  90. Thu May 27 01:56:43 2021 removing 6107901 relations and 4107901 ideals in 2000000 cliques
  91. Thu May 27 01:56:46 2021 commencing in-memory singleton removal
  92. Thu May 27 01:57:00 2021 begin with 93560378 relations and 79920378 unique ideals
  93. Thu May 27 01:59:09 2021 reduce to 93282204 relations and 75529307 ideals in 7 passes
  94. Thu May 27 01:59:09 2021 max relations containing the same ideal: 126
  95. Thu May 27 02:00:29 2021 removing 6082789 relations and 4082789 ideals in 2000000 cliques
  96. Thu May 27 02:00:32 2021 commencing in-memory singleton removal
  97. Thu May 27 02:00:47 2021 begin with 87199415 relations and 75529307 unique ideals
  98. Thu May 27 02:02:37 2021 reduce to 86909904 relations and 71151465 ideals in 7 passes
  99. Thu May 27 02:02:37 2021 max relations containing the same ideal: 117
  100. Thu May 27 02:03:44 2021 removing 6074440 relations and 4074440 ideals in 2000000 cliques
  101. Thu May 27 02:03:47 2021 commencing in-memory singleton removal
  102. Thu May 27 02:04:00 2021 begin with 80835464 relations and 71151465 unique ideals
  103. Thu May 27 02:05:26 2021 reduce to 80529140 relations and 66764511 ideals in 6 passes
  104. Thu May 27 02:05:26 2021 max relations containing the same ideal: 114
  105. Thu May 27 02:06:28 2021 removing 6076050 relations and 4076050 ideals in 2000000 cliques
  106. Thu May 27 02:06:31 2021 commencing in-memory singleton removal
  107. Thu May 27 02:06:42 2021 begin with 74453090 relations and 66764511 unique ideals
  108. Thu May 27 02:08:05 2021 reduce to 74126223 relations and 62354564 ideals in 7 passes
  109. Thu May 27 02:08:05 2021 max relations containing the same ideal: 108
  110. Thu May 27 02:09:08 2021 removing 6089303 relations and 4089303 ideals in 2000000 cliques
  111. Thu May 27 02:09:11 2021 commencing in-memory singleton removal
  112. Thu May 27 02:09:21 2021 begin with 68036920 relations and 62354564 unique ideals
  113. Thu May 27 02:10:39 2021 reduce to 67685219 relations and 57905334 ideals in 7 passes
  114. Thu May 27 02:10:39 2021 max relations containing the same ideal: 104
  115. Thu May 27 02:11:34 2021 removing 6118189 relations and 4118189 ideals in 2000000 cliques
  116. Thu May 27 02:11:36 2021 commencing in-memory singleton removal
  117. Thu May 27 02:11:46 2021 begin with 61567030 relations and 57905334 unique ideals
  118. Thu May 27 02:12:46 2021 reduce to 61184697 relations and 53395104 ideals in 6 passes
  119. Thu May 27 02:12:46 2021 max relations containing the same ideal: 94
  120. Thu May 27 02:13:42 2021 removing 6155449 relations and 4155449 ideals in 2000000 cliques
  121. Thu May 27 02:13:45 2021 commencing in-memory singleton removal
  122. Thu May 27 02:13:54 2021 begin with 55029248 relations and 53395104 unique ideals
  123. Thu May 27 02:15:03 2021 reduce to 54604248 relations and 48802865 ideals in 7 passes
  124. Thu May 27 02:15:03 2021 max relations containing the same ideal: 86
  125. Thu May 27 02:15:48 2021 removing 6209058 relations and 4209058 ideals in 2000000 cliques
  126. Thu May 27 02:15:50 2021 commencing in-memory singleton removal
  127. Thu May 27 02:15:58 2021 begin with 48395190 relations and 48802865 unique ideals
  128. Thu May 27 02:16:58 2021 reduce to 47914959 relations and 44098713 ideals in 7 passes
  129. Thu May 27 02:16:58 2021 max relations containing the same ideal: 81
  130. Thu May 27 02:17:36 2021 removing 6272368 relations and 4272368 ideals in 2000000 cliques
  131. Thu May 27 02:17:39 2021 commencing in-memory singleton removal
  132. Thu May 27 02:17:45 2021 begin with 41642591 relations and 44098713 unique ideals
  133. Thu May 27 02:18:35 2021 reduce to 41082899 relations and 39247048 ideals in 7 passes
  134. Thu May 27 02:18:35 2021 max relations containing the same ideal: 74
  135. Thu May 27 02:19:13 2021 removing 2128791 relations and 1604101 ideals in 524690 cliques
  136. Thu May 27 02:19:14 2021 commencing in-memory singleton removal
  137. Thu May 27 02:19:20 2021 begin with 38954108 relations and 39247048 unique ideals
  138. Thu May 27 02:20:13 2021 reduce to 38875654 relations and 37563592 ideals in 8 passes
  139. Thu May 27 02:20:13 2021 max relations containing the same ideal: 69
  140. Thu May 27 02:20:52 2021 relations with 0 large ideals: 41826
  141. Thu May 27 02:20:52 2021 relations with 1 large ideals: 22578
  142. Thu May 27 02:20:52 2021 relations with 2 large ideals: 246148
  143. Thu May 27 02:20:52 2021 relations with 3 large ideals: 1448713
  144. Thu May 27 02:20:52 2021 relations with 4 large ideals: 4605863
  145. Thu May 27 02:20:52 2021 relations with 5 large ideals: 8720371
  146. Thu May 27 02:20:52 2021 relations with 6 large ideals: 10326958
  147. Thu May 27 02:20:52 2021 relations with 7+ large ideals: 13463197
  148. Thu May 27 02:20:52 2021 commencing 2-way merge
  149. Thu May 27 02:21:37 2021 reduce to 26229014 relation sets and 24916952 unique ideals
  150. Thu May 27 02:21:37 2021 commencing full merge
  151. Thu May 27 02:38:16 2021 memory use: 3384.3 MB
  152. Thu May 27 02:38:26 2021 found 12051934 cycles, need 11931152
  153. Thu May 27 02:38:27 2021 weight of 11931152 cycles is about 1432321212 (120.05/cycle)
  154. Thu May 27 02:38:27 2021 distribution of cycle lengths:
  155. Thu May 27 02:38:27 2021 1 relations: 426154
  156. Thu May 27 02:38:27 2021 2 relations: 692215
  157. Thu May 27 02:38:27 2021 3 relations: 841209
  158. Thu May 27 02:38:27 2021 4 relations: 887178
  159. Thu May 27 02:38:27 2021 5 relations: 915072
  160. Thu May 27 02:38:27 2021 6 relations: 918093
  161. Thu May 27 02:38:27 2021 7 relations: 901637
  162. Thu May 27 02:38:27 2021 8 relations: 864309
  163. Thu May 27 02:38:27 2021 9 relations: 810946
  164. Thu May 27 02:38:27 2021 10+ relations: 4674339
  165. Thu May 27 02:38:27 2021 heaviest cycle: 28 relations
  166. Thu May 27 02:38:43 2021 commencing cycle optimization
  167. Thu May 27 02:39:29 2021 start with 103817498 relations
  168. Thu May 27 02:46:16 2021 pruned 5151890 relations
  169. Thu May 27 02:46:17 2021 memory use: 2686.5 MB
  170. Thu May 27 02:46:17 2021 distribution of cycle lengths:
  171. Thu May 27 02:46:17 2021 1 relations: 426154
  172. Thu May 27 02:46:17 2021 2 relations: 710711
  173. Thu May 27 02:46:17 2021 3 relations: 879681
  174. Thu May 27 02:46:17 2021 4 relations: 928081
  175. Thu May 27 02:46:17 2021 5 relations: 967309
  176. Thu May 27 02:46:17 2021 6 relations: 969712
  177. Thu May 27 02:46:17 2021 7 relations: 956020
  178. Thu May 27 02:46:17 2021 8 relations: 911718
  179. Thu May 27 02:46:17 2021 9 relations: 853868
  180. Thu May 27 02:46:17 2021 10+ relations: 4327898
  181. Thu May 27 02:46:17 2021 heaviest cycle: 28 relations
  182. Thu May 27 02:46:47 2021 RelProcTime: 14223
  183. Thu May 27 02:46:47 2021 elapsed time 03:57:04
  184. Thu May 27 06:41:21 2021
  185. Thu May 27 06:41:21 2021
  186. Thu May 27 06:41:21 2021 Msieve v. 1.52 (SVN unknown)
  187. Thu May 27 06:41:21 2021 random seeds: 82338d80 2d28169e
  188. Thu May 27 06:41:21 2021 factoring 6587016784929654143681177919981530605033554508740445599806155294446689164277196137435014228482541666699070369930236454621645355159581027342959922357092146253907225444325585611277532795226410239039457 (199 digits)
  189. Thu May 27 06:41:22 2021 no P-1/P+1/ECM available, skipping
  190. Thu May 27 06:41:22 2021 commencing number field sieve (199-digit input)
  191. Thu May 27 06:41:22 2021 R0: 2787593149816327892691964784081045188247552
  192. Thu May 27 06:41:22 2021 R1: -26588814358957503287787
  193. Thu May 27 06:41:22 2021 A0: 9
  194. Thu May 27 06:41:22 2021 A1: 0
  195. Thu May 27 06:41:22 2021 A2: 0
  196. Thu May 27 06:41:22 2021 A3: 0
  197. Thu May 27 06:41:22 2021 A4: 0
  198. Thu May 27 06:41:22 2021 A5: 0
  199. Thu May 27 06:41:22 2021 A6: 64
  200. Thu May 27 06:41:22 2021 skew 0.72, size 1.100e-012, alpha 0.124, combined = 1.261e-013 rroots = 0
  201. Thu May 27 06:41:22 2021
  202. Thu May 27 06:41:22 2021 commencing linear algebra
  203. Thu May 27 06:41:24 2021 read 11931152 cycles
  204. Thu May 27 06:41:54 2021 cycles contain 38284980 unique relations
  205. Thu May 27 06:48:13 2021 read 38284980 relations
  206. Thu May 27 06:49:37 2021 using 20 quadratic characters above 2147483034
  207. Thu May 27 06:52:22 2021 building initial matrix
  208. Thu May 27 07:01:19 2021 memory use: 4949.2 MB
  209. Thu May 27 07:01:33 2021 read 11931152 cycles
  210. Thu May 27 07:01:37 2021 matrix is 11930975 x 11931152 (5583.7 MB) with weight 1601509264 (134.23/col)
  211. Thu May 27 07:01:37 2021 sparse part has weight 1332496312 (111.68/col)
  212. Thu May 27 07:05:31 2021 filtering completed in 2 passes
  213. Thu May 27 07:05:35 2021 matrix is 11930670 x 11930847 (5583.7 MB) with weight 1601497826 (134.23/col)
  214. Thu May 27 07:05:35 2021 sparse part has weight 1332491676 (111.68/col)
  215. Thu May 27 07:06:22 2021 matrix starts at (0, 0)
  216. Thu May 27 07:06:26 2021 matrix is 11930670 x 11930847 (5583.7 MB) with weight 1601497826 (134.23/col)
  217. Thu May 27 07:06:26 2021 sparse part has weight 1332491676 (111.68/col)
  218. Thu May 27 07:06:26 2021 saving the first 48 matrix rows for later
  219. Thu May 27 07:06:30 2021 matrix includes 64 packed rows
  220. Thu May 27 07:06:32 2021 matrix is 11930622 x 11930847 (5374.2 MB) with weight 1381573660 (115.80/col)
  221. Thu May 27 07:06:32 2021 sparse part has weight 1289515454 (108.08/col)
  222. Thu May 27 07:06:32 2021 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  223. Thu May 27 07:07:40 2021 commencing Lanczos iteration (24 threads)
  224. Thu May 27 07:07:40 2021 memory use: 4609.4 MB
  225. Thu May 27 07:08:03 2021 linear algebra at 0.0%, ETA 45h45m
  226. Thu May 27 07:08:10 2021 checkpointing every 270000 dimensions
  227. Sat May 29 06:18:13 2021 lanczos halted after 188673 iterations (dim = 11930620)
  228. Sat May 29 06:18:24 2021 recovered 41 nontrivial dependencies
  229. Sat May 29 06:18:31 2021 BLanczosTime: 171429
  230. Sat May 29 06:18:31 2021 elapsed time 47:37:10
  231. Sat May 29 07:05:19 2021
  232. Sat May 29 07:05:19 2021
  233. Sat May 29 07:05:19 2021 Msieve v. 1.52 (SVN unknown)
  234. Sat May 29 07:05:19 2021 random seeds: 10eda440 fdbb0390
  235. Sat May 29 07:05:19 2021 factoring 6587016784929654143681177919981530605033554508740445599806155294446689164277196137435014228482541666699070369930236454621645355159581027342959922357092146253907225444325585611277532795226410239039457 (199 digits)
  236. Sat May 29 07:05:20 2021 no P-1/P+1/ECM available, skipping
  237. Sat May 29 07:05:20 2021 commencing number field sieve (199-digit input)
  238. Sat May 29 07:05:20 2021 R0: 2787593149816327892691964784081045188247552
  239. Sat May 29 07:05:20 2021 R1: -26588814358957503287787
  240. Sat May 29 07:05:20 2021 A0: 9
  241. Sat May 29 07:05:20 2021 A1: 0
  242. Sat May 29 07:05:20 2021 A2: 0
  243. Sat May 29 07:05:20 2021 A3: 0
  244. Sat May 29 07:05:20 2021 A4: 0
  245. Sat May 29 07:05:20 2021 A5: 0
  246. Sat May 29 07:05:20 2021 A6: 64
  247. Sat May 29 07:05:20 2021 skew 0.72, size 1.100e-012, alpha 0.124, combined = 1.261e-013 rroots = 0
  248. Sat May 29 07:05:20 2021
  249. Sat May 29 07:05:20 2021 commencing square root phase
  250. Sat May 29 07:05:20 2021 reading relations for dependency 1
  251. Sat May 29 07:05:22 2021 read 5967626 cycles
  252. Sat May 29 07:05:36 2021 cycles contain 19148858 unique relations
  253. Sat May 29 07:09:09 2021 read 19148858 relations
  254. Sat May 29 07:11:01 2021 multiplying 19148858 relations
  255. Sat May 29 07:31:13 2021 multiply complete, coefficients have about 609.30 million bits
  256. Sat May 29 07:31:19 2021 initial square root is modulo 292711
  257. Sat May 29 07:54:23 2021 sqrtTime: 2943
  258. Sat May 29 07:54:23 2021 prp58 factor: 6985921953532407395841806973633655186174312451008572457777
  259. Sat May 29 07:54:23 2021 prp141 factor: 942898708108090410834102460235331451752941976230449158041788954411847204173515941985346808033374833455008653324300232730837898586732745937841
  260. Sat May 29 07:54:23 2021 elapsed time 00:49:04
  261.  
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