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5m2_373

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Mar 5th, 2022
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  1. Tue Feb 15 17:28:00 2022
  2. Tue Feb 15 17:28:00 2022
  3. Tue Feb 15 17:28:00 2022 Msieve v. 1.52 (SVN unknown)
  4. Tue Feb 15 17:28:00 2022 random seeds: 88f16100 0fdac0d6
  5. Tue Feb 15 17:28:00 2022 factoring 67181643497762916944964900771607580264467639573311971190039580226912496470536688518750559514351018020888002185398125448001934847182628434322897001299898798141993854818730726771109178499129438331680673760756237 (209 digits)
  6. Tue Feb 15 17:28:01 2022 no P-1/P+1/ECM available, skipping
  7. Tue Feb 15 17:28:01 2022 commencing number field sieve (209-digit input)
  8. Tue Feb 15 17:28:01 2022 R0: 21684043449710088680149056017398834228515625
  9. Tue Feb 15 17:28:01 2022 R1: -4611686018427387904
  10. Tue Feb 15 17:28:01 2022 A0: -2
  11. Tue Feb 15 17:28:01 2022 A1: 0
  12. Tue Feb 15 17:28:01 2022 A2: 0
  13. Tue Feb 15 17:28:01 2022 A3: 0
  14. Tue Feb 15 17:28:01 2022 A4: 0
  15. Tue Feb 15 17:28:01 2022 A5: 0
  16. Tue Feb 15 17:28:01 2022 A6: 5
  17. Tue Feb 15 17:28:01 2022 skew 0.86, size 5.741e-013, alpha 2.819, combined = 7.710e-014 rroots = 2
  18. Tue Feb 15 17:28:01 2022
  19. Tue Feb 15 17:28:01 2022 commencing relation filtering
  20. Tue Feb 15 17:28:01 2022 setting target matrix density to 120.0
  21. Tue Feb 15 17:28:01 2022 estimated available RAM is 16316.6 MB
  22. Tue Feb 15 17:28:01 2022 commencing duplicate removal, pass 1
  23. Tue Feb 15 17:28:22 2022 error -9 reading relation 2341360
  24. Tue Feb 15 17:28:30 2022 error -15 reading relation 3226207
  25. Tue Feb 15 17:28:30 2022 error -1 reading relation 3226208
  26. Tue Feb 15 17:28:30 2022 error -9 reading relation 3227647
  27. Tue Feb 15 17:28:31 2022 error -15 reading relation 3350526
  28. Tue Feb 15 17:28:32 2022 error -5 reading relation 3483647
  29. Tue Feb 15 17:28:33 2022 error -15 reading relation 3501736
  30. Tue Feb 15 17:28:35 2022 error -15 reading relation 3745457
  31. Tue Feb 15 18:06:10 2022 error -5 reading relation 254356721
  32. Tue Feb 15 18:06:17 2022 error -9 reading relation 255107876
  33. Tue Feb 15 18:06:21 2022 error -9 reading relation 255607754
  34. Tue Feb 15 18:06:24 2022 error -9 reading relation 255922623
  35. Tue Feb 15 18:06:31 2022 error -1 reading relation 256675314
  36. Tue Feb 15 18:06:56 2022 error -15 reading relation 259520441
  37. Tue Feb 15 18:06:56 2022 error -1 reading relation 259603099
  38. Tue Feb 15 18:06:57 2022 skipped 1165 relations with b > 2^32
  39. Tue Feb 15 18:06:57 2022 found 53942325 hash collisions in 259657527 relations
  40. Tue Feb 15 18:07:23 2022 added 1218409 free relations
  41. Tue Feb 15 18:07:23 2022 commencing duplicate removal, pass 2
  42. Tue Feb 15 18:14:55 2022 found 53502831 duplicates and 207373105 unique relations
  43. Tue Feb 15 18:14:55 2022 memory use: 1321.5 MB
  44. Tue Feb 15 18:14:55 2022 reading ideals above 211877888
  45. Tue Feb 15 18:14:55 2022 commencing singleton removal, initial pass
  46. Tue Feb 15 18:50:11 2022 memory use: 3012.0 MB
  47. Tue Feb 15 18:50:11 2022 reading all ideals from disk
  48. Tue Feb 15 18:50:53 2022 memory use: 3576.0 MB
  49. Tue Feb 15 18:51:00 2022 commencing in-memory singleton removal
  50. Tue Feb 15 18:51:07 2022 begin with 207373105 relations and 162260314 unique ideals
  51. Tue Feb 15 18:52:27 2022 reduce to 150726967 relations and 101036364 ideals in 13 passes
  52. Tue Feb 15 18:52:27 2022 max relations containing the same ideal: 33
  53. Tue Feb 15 18:52:38 2022 reading ideals above 720000
  54. Tue Feb 15 18:52:38 2022 commencing singleton removal, initial pass
  55. Tue Feb 15 19:24:57 2022 memory use: 3012.0 MB
  56. Tue Feb 15 19:24:57 2022 reading all ideals from disk
  57. Tue Feb 15 19:26:27 2022 memory use: 6285.8 MB
  58. Tue Feb 15 19:26:43 2022 keeping 123633761 ideals with weight <= 200, target excess is 799210
  59. Tue Feb 15 19:27:02 2022 commencing in-memory singleton removal
  60. Tue Feb 15 19:27:15 2022 begin with 150726967 relations and 123633761 unique ideals
  61. Tue Feb 15 19:29:19 2022 reduce to 150722862 relations and 123629656 ideals in 9 passes
  62. Tue Feb 15 19:29:19 2022 max relations containing the same ideal: 200
  63. Tue Feb 15 19:30:24 2022 removing 10474750 relations and 8474750 ideals in 2000000 cliques
  64. Tue Feb 15 19:30:27 2022 commencing in-memory singleton removal
  65. Tue Feb 15 19:30:39 2022 begin with 140248112 relations and 123629656 unique ideals
  66. Tue Feb 15 19:32:34 2022 reduce to 139651922 relations and 114548578 ideals in 9 passes
  67. Tue Feb 15 19:32:34 2022 max relations containing the same ideal: 199
  68. Tue Feb 15 19:33:36 2022 removing 8104701 relations and 6104701 ideals in 2000000 cliques
  69. Tue Feb 15 19:33:39 2022 commencing in-memory singleton removal
  70. Tue Feb 15 19:33:50 2022 begin with 131547221 relations and 114548578 unique ideals
  71. Tue Feb 15 19:35:14 2022 reduce to 131144621 relations and 108035405 ideals in 7 passes
  72. Tue Feb 15 19:35:14 2022 max relations containing the same ideal: 192
  73. Tue Feb 15 19:36:12 2022 removing 7406643 relations and 5406643 ideals in 2000000 cliques
  74. Tue Feb 15 19:36:15 2022 commencing in-memory singleton removal
  75. Tue Feb 15 19:36:25 2022 begin with 123737978 relations and 108035405 unique ideals
  76. Tue Feb 15 19:37:44 2022 reduce to 123381737 relations and 102267159 ideals in 7 passes
  77. Tue Feb 15 19:37:44 2022 max relations containing the same ideal: 185
  78. Tue Feb 15 19:38:39 2022 removing 7054881 relations and 5054881 ideals in 2000000 cliques
  79. Tue Feb 15 19:38:42 2022 commencing in-memory singleton removal
  80. Tue Feb 15 19:38:51 2022 begin with 116326856 relations and 102267159 unique ideals
  81. Tue Feb 15 19:40:15 2022 reduce to 115989808 relations and 96870103 ideals in 8 passes
  82. Tue Feb 15 19:40:15 2022 max relations containing the same ideal: 179
  83. Tue Feb 15 19:41:07 2022 removing 6846593 relations and 4846593 ideals in 2000000 cliques
  84. Tue Feb 15 19:41:10 2022 commencing in-memory singleton removal
  85. Tue Feb 15 19:41:19 2022 begin with 109143215 relations and 96870103 unique ideals
  86. Tue Feb 15 19:42:27 2022 reduce to 108813029 relations and 91688175 ideals in 7 passes
  87. Tue Feb 15 19:42:27 2022 max relations containing the same ideal: 173
  88. Tue Feb 15 19:43:16 2022 removing 6715379 relations and 4715379 ideals in 2000000 cliques
  89. Tue Feb 15 19:43:19 2022 commencing in-memory singleton removal
  90. Tue Feb 15 19:43:27 2022 begin with 102097650 relations and 91688175 unique ideals
  91. Tue Feb 15 19:44:40 2022 reduce to 101768012 relations and 86637678 ideals in 8 passes
  92. Tue Feb 15 19:44:40 2022 max relations containing the same ideal: 167
  93. Tue Feb 15 19:45:27 2022 removing 6632743 relations and 4632743 ideals in 2000000 cliques
  94. Tue Feb 15 19:45:29 2022 commencing in-memory singleton removal
  95. Tue Feb 15 19:45:37 2022 begin with 95135269 relations and 86637678 unique ideals
  96. Tue Feb 15 19:46:36 2022 reduce to 94796215 relations and 81659934 ideals in 7 passes
  97. Tue Feb 15 19:46:36 2022 max relations containing the same ideal: 159
  98. Tue Feb 15 19:47:20 2022 removing 6580785 relations and 4580785 ideals in 2000000 cliques
  99. Tue Feb 15 19:47:22 2022 commencing in-memory singleton removal
  100. Tue Feb 15 19:47:29 2022 begin with 88215430 relations and 81659934 unique ideals
  101. Tue Feb 15 19:48:31 2022 reduce to 87863092 relations and 76720227 ideals in 8 passes
  102. Tue Feb 15 19:48:31 2022 max relations containing the same ideal: 151
  103. Tue Feb 15 19:49:12 2022 removing 6551639 relations and 4551639 ideals in 2000000 cliques
  104. Tue Feb 15 19:49:14 2022 commencing in-memory singleton removal
  105. Tue Feb 15 19:49:21 2022 begin with 81311453 relations and 76720227 unique ideals
  106. Tue Feb 15 19:50:11 2022 reduce to 80936581 relations and 71786434 ideals in 7 passes
  107. Tue Feb 15 19:50:11 2022 max relations containing the same ideal: 140
  108. Tue Feb 15 19:50:49 2022 removing 6553311 relations and 4553311 ideals in 2000000 cliques
  109. Tue Feb 15 19:50:51 2022 commencing in-memory singleton removal
  110. Tue Feb 15 19:50:57 2022 begin with 74383270 relations and 71786434 unique ideals
  111. Tue Feb 15 19:51:42 2022 reduce to 73984706 relations and 66825994 ideals in 7 passes
  112. Tue Feb 15 19:51:42 2022 max relations containing the same ideal: 133
  113. Tue Feb 15 19:52:17 2022 removing 6570937 relations and 4570937 ideals in 2000000 cliques
  114. Tue Feb 15 19:52:19 2022 commencing in-memory singleton removal
  115. Tue Feb 15 19:52:24 2022 begin with 67413769 relations and 66825994 unique ideals
  116. Tue Feb 15 19:53:11 2022 reduce to 66978972 relations and 61810182 ideals in 8 passes
  117. Tue Feb 15 19:53:11 2022 max relations containing the same ideal: 126
  118. Tue Feb 15 19:53:43 2022 removing 6611796 relations and 4611796 ideals in 2000000 cliques
  119. Tue Feb 15 19:53:45 2022 commencing in-memory singleton removal
  120. Tue Feb 15 19:53:50 2022 begin with 60367176 relations and 61810182 unique ideals
  121. Tue Feb 15 19:54:26 2022 reduce to 59882343 relations and 56701129 ideals in 7 passes
  122. Tue Feb 15 19:54:26 2022 max relations containing the same ideal: 116
  123. Tue Feb 15 19:54:55 2022 removing 6679774 relations and 4679774 ideals in 2000000 cliques
  124. Tue Feb 15 19:54:56 2022 commencing in-memory singleton removal
  125. Tue Feb 15 19:55:01 2022 begin with 53202569 relations and 56701129 unique ideals
  126. Tue Feb 15 19:55:37 2022 reduce to 52641209 relations and 51444288 ideals in 8 passes
  127. Tue Feb 15 19:55:37 2022 max relations containing the same ideal: 103
  128. Tue Feb 15 19:56:02 2022 removing 1320177 relations and 1050340 ideals in 269837 cliques
  129. Tue Feb 15 19:56:03 2022 commencing in-memory singleton removal
  130. Tue Feb 15 19:56:07 2022 begin with 51321032 relations and 51444288 unique ideals
  131. Tue Feb 15 19:56:33 2022 reduce to 51298081 relations and 50370895 ideals in 6 passes
  132. Tue Feb 15 19:56:33 2022 max relations containing the same ideal: 101
  133. Tue Feb 15 19:57:05 2022 relations with 0 large ideals: 30406
  134. Tue Feb 15 19:57:05 2022 relations with 1 large ideals: 6150
  135. Tue Feb 15 19:57:05 2022 relations with 2 large ideals: 88896
  136. Tue Feb 15 19:57:05 2022 relations with 3 large ideals: 682637
  137. Tue Feb 15 19:57:05 2022 relations with 4 large ideals: 2906999
  138. Tue Feb 15 19:57:05 2022 relations with 5 large ideals: 7511314
  139. Tue Feb 15 19:57:05 2022 relations with 6 large ideals: 12349166
  140. Tue Feb 15 19:57:05 2022 relations with 7+ large ideals: 27722513
  141. Tue Feb 15 19:57:05 2022 commencing 2-way merge
  142. Tue Feb 15 19:57:39 2022 reduce to 34848478 relation sets and 33921292 unique ideals
  143. Tue Feb 15 19:57:39 2022 commencing full merge
  144. Tue Feb 15 20:14:20 2022 memory use: 4570.8 MB
  145. Tue Feb 15 20:14:24 2022 found 15783115 cycles, need 15731492
  146. Tue Feb 15 20:14:25 2022 weight of 15731492 cycles is about 1887832818 (120.00/cycle)
  147. Tue Feb 15 20:14:25 2022 distribution of cycle lengths:
  148. Tue Feb 15 20:14:25 2022 1 relations: 746261
  149. Tue Feb 15 20:14:25 2022 2 relations: 999282
  150. Tue Feb 15 20:14:25 2022 3 relations: 1155982
  151. Tue Feb 15 20:14:25 2022 4 relations: 1176945
  152. Tue Feb 15 20:14:25 2022 5 relations: 1202559
  153. Tue Feb 15 20:14:25 2022 6 relations: 1175229
  154. Tue Feb 15 20:14:25 2022 7 relations: 1148457
  155. Tue Feb 15 20:14:25 2022 8 relations: 1086815
  156. Tue Feb 15 20:14:25 2022 9 relations: 1017596
  157. Tue Feb 15 20:14:25 2022 10+ relations: 6022366
  158. Tue Feb 15 20:14:25 2022 heaviest cycle: 28 relations
  159. Tue Feb 15 20:14:29 2022 commencing cycle optimization
  160. Tue Feb 15 20:14:57 2022 start with 135545836 relations
  161. Tue Feb 15 20:21:45 2022 pruned 6600148 relations
  162. Tue Feb 15 20:21:45 2022 memory use: 3532.0 MB
  163. Tue Feb 15 20:21:45 2022 distribution of cycle lengths:
  164. Tue Feb 15 20:21:45 2022 1 relations: 746261
  165. Tue Feb 15 20:21:45 2022 2 relations: 1025373
  166. Tue Feb 15 20:21:45 2022 3 relations: 1207653
  167. Tue Feb 15 20:21:45 2022 4 relations: 1230137
  168. Tue Feb 15 20:21:45 2022 5 relations: 1266872
  169. Tue Feb 15 20:21:45 2022 6 relations: 1236675
  170. Tue Feb 15 20:21:45 2022 7 relations: 1211039
  171. Tue Feb 15 20:21:45 2022 8 relations: 1141393
  172. Tue Feb 15 20:21:45 2022 9 relations: 1065608
  173. Tue Feb 15 20:21:45 2022 10+ relations: 5600481
  174. Tue Feb 15 20:21:45 2022 heaviest cycle: 28 relations
  175. Tue Feb 15 20:22:38 2022 RelProcTime: 10477
  176. Tue Feb 15 20:22:38 2022
  177. Tue Feb 15 20:22:38 2022 commencing linear algebra
  178. Tue Feb 15 20:22:41 2022 read 15731492 cycles
  179. Tue Feb 15 20:23:14 2022 cycles contain 50861621 unique relations
  180. Tue Feb 15 20:31:53 2022 read 50861621 relations
  181. Tue Feb 15 20:33:35 2022 using 20 quadratic characters above 2147483490
  182. Tue Feb 15 20:37:08 2022 building initial matrix
  183. Tue Feb 15 20:47:47 2022 memory use: 6540.5 MB
  184. Tue Feb 15 20:48:09 2022 read 15731492 cycles
  185. Tue Feb 15 20:48:13 2022 matrix is 15731315 x 15731492 (7306.8 MB) with weight 2081670669 (132.33/col)
  186. Tue Feb 15 20:48:13 2022 sparse part has weight 1758116720 (111.76/col)
  187. Tue Feb 15 20:51:45 2022 filtering completed in 2 passes
  188. Tue Feb 15 20:51:50 2022 matrix is 15731117 x 15731294 (7306.8 MB) with weight 2081664609 (132.33/col)
  189. Tue Feb 15 20:51:50 2022 sparse part has weight 1758114658 (111.76/col)
  190. Tue Feb 15 20:54:52 2022 matrix starts at (0, 0)
  191. Tue Feb 15 20:54:56 2022 matrix is 15731117 x 15731294 (7306.8 MB) with weight 2081664609 (132.33/col)
  192. Tue Feb 15 20:54:56 2022 sparse part has weight 1758114658 (111.76/col)
  193. Tue Feb 15 20:54:56 2022 saving the first 48 matrix rows for later
  194. Tue Feb 15 20:55:01 2022 matrix includes 64 packed rows
  195. Tue Feb 15 20:55:04 2022 matrix is 15731069 x 15731294 (7055.4 MB) with weight 1790302915 (113.81/col)
  196. Tue Feb 15 20:55:04 2022 sparse part has weight 1692226045 (107.57/col)
  197. Tue Feb 15 20:55:04 2022 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  198. Tue Feb 15 20:56:39 2022 commencing Lanczos iteration (8 threads)
  199. Tue Feb 15 20:56:39 2022 memory use: 6092.5 MB
  200. Tue Feb 15 20:59:05 2022 linear algebra at 0.0%, ETA 401h23m
  201. Tue Feb 15 20:59:51 2022 checkpointing every 40000 dimensions
  202. Fri Mar 04 17:24:46 2022 lanczos halted after 248770 iterations (dim = 15731065)
  203. Fri Mar 04 17:25:34 2022 recovered 36 nontrivial dependencies
  204. Fri Mar 04 17:26:01 2022 BLanczosTime: 1458203
  205. Fri Mar 04 17:26:01 2022
  206. Fri Mar 04 17:26:01 2022 commencing square root phase
  207. Fri Mar 04 17:26:01 2022 handling dependencies 1 to 64
  208. Fri Mar 04 17:26:01 2022 reading relations for dependency 1
  209. Fri Mar 04 17:26:07 2022 read 7869719 cycles
  210. Fri Mar 04 17:26:22 2022 cycles contain 25433172 unique relations
  211. Fri Mar 04 17:33:24 2022 read 25433172 relations
  212. Fri Mar 04 17:35:43 2022 multiplying 25433172 relations
  213. Fri Mar 04 18:00:40 2022 multiply complete, coefficients have about 720.82 million bits
  214. Fri Mar 04 18:00:49 2022 initial square root is modulo 2929789
  215. Fri Mar 04 18:32:42 2022 GCD is N, no factor found
  216. Fri Mar 04 18:32:42 2022 reading relations for dependency 2
  217. Fri Mar 04 18:32:45 2022 read 7866058 cycles
  218. Fri Mar 04 18:33:00 2022 cycles contain 25433472 unique relations
  219. Fri Mar 04 18:40:01 2022 read 25433472 relations
  220. Fri Mar 04 18:42:19 2022 multiplying 25433472 relations
  221. Fri Mar 04 19:07:13 2022 multiply complete, coefficients have about 720.84 million bits
  222. Fri Mar 04 19:07:21 2022 initial square root is modulo 2931127
  223. Fri Mar 04 19:38:53 2022 GCD is N, no factor found
  224. Fri Mar 04 19:38:53 2022 reading relations for dependency 3
  225. Fri Mar 04 19:39:05 2022 read 7865287 cycles
  226. Fri Mar 04 19:39:20 2022 cycles contain 25430586 unique relations
  227. Fri Mar 04 19:46:24 2022 read 25430586 relations
  228. Fri Mar 04 19:48:41 2022 multiplying 25430586 relations
  229. Fri Mar 04 20:13:38 2022 multiply complete, coefficients have about 720.75 million bits
  230. Fri Mar 04 20:13:47 2022 initial square root is modulo 2925847
  231. Fri Mar 04 20:45:18 2022 GCD is 1, no factor found
  232. Fri Mar 04 20:45:18 2022 reading relations for dependency 4
  233. Fri Mar 04 20:45:32 2022 read 7870856 cycles
  234. Fri Mar 04 20:45:47 2022 cycles contain 25443814 unique relations
  235. Fri Mar 04 20:52:48 2022 read 25443814 relations
  236. Fri Mar 04 20:55:06 2022 multiplying 25443814 relations
  237. Fri Mar 04 21:20:02 2022 multiply complete, coefficients have about 721.11 million bits
  238. Fri Mar 04 21:20:10 2022 initial square root is modulo 2947621
  239. Fri Mar 04 21:52:06 2022 sqrtTime: 15965
  240. Fri Mar 04 21:52:06 2022 prp90 factor: 542244277270508418263688291593018882952257717135384183921835568192573358722806534563151911
  241. Fri Mar 04 21:52:06 2022 prp120 factor: 123895532537355175089008131926092253105884486680156078404075842495631727898592310736288521024782404244727971942706436267
  242. Fri Mar 04 21:52:06 2022 elapsed time 412:24:06
  243.  
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