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131__601_13m1

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Dec 1st, 2020
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  1. Wed Dec 02 12:38:08 2020
  2. Wed Dec 02 12:38:08 2020
  3. Wed Dec 02 12:38:08 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Dec 02 12:38:08 2020 random seeds: bb5e35a0 68bc888c
  5. Wed Dec 02 12:38:08 2020 factoring 11765700674516024598637049955524679957426451271633838420231629614212588048403780530530636606894825442084197714428951725010386062726277500659011143698933194794905337611 (167 digits)
  6. Wed Dec 02 12:38:08 2020 searching for 15-digit factors
  7. Wed Dec 02 12:38:09 2020 commencing number field sieve (167-digit input)
  8. Wed Dec 02 12:38:09 2020 R0: 1728989214341759593267464855815671202
  9. Wed Dec 02 12:38:09 2020 R1: -1314910344602155601
  10. Wed Dec 02 12:38:09 2020 A0: -1
  11. Wed Dec 02 12:38:09 2020 A1: 3
  12. Wed Dec 02 12:38:09 2020 A2: 6
  13. Wed Dec 02 12:38:09 2020 A3: -4
  14. Wed Dec 02 12:38:09 2020 A4: -5
  15. Wed Dec 02 12:38:09 2020 A5: 1
  16. Wed Dec 02 12:38:09 2020 A6: 1
  17. Wed Dec 02 12:38:09 2020 skew 1.00, size 9.979e-011, alpha 3.126, combined = 3.281e-012 rroots = 6
  18. Wed Dec 02 12:38:09 2020
  19. Wed Dec 02 12:38:09 2020 commencing relation filtering
  20. Wed Dec 02 12:38:09 2020 setting target matrix density to 110.0
  21. Wed Dec 02 12:38:09 2020 estimated available RAM is 32685.6 MB
  22. Wed Dec 02 12:38:09 2020 commencing duplicate removal, pass 1
  23. Wed Dec 02 12:40:01 2020 error -9 reading relation 17995085
  24. Wed Dec 02 12:41:33 2020 error -1 reading relation 32708309
  25. Wed Dec 02 12:42:29 2020 error -5 reading relation 41763347
  26. Wed Dec 02 12:42:30 2020 error -5 reading relation 41871010
  27. Wed Dec 02 12:42:30 2020 error -15 reading relation 41895526
  28. Wed Dec 02 12:42:30 2020 error -15 reading relation 41919340
  29. Wed Dec 02 12:42:30 2020 error -9 reading relation 41970727
  30. Wed Dec 02 12:43:18 2020 error -9 reading relation 49700604
  31. Wed Dec 02 12:43:22 2020 error -9 reading relation 50351973
  32. Wed Dec 02 12:43:38 2020 error -9 reading relation 52931077
  33. Wed Dec 02 12:43:38 2020 error -1 reading relation 52965540
  34. Wed Dec 02 12:44:00 2020 error -5 reading relation 56499163
  35. Wed Dec 02 12:45:09 2020 skipped 9 relations with composite factors
  36. Wed Dec 02 12:45:09 2020 found 12382341 hash collisions in 64915232 relations
  37. Wed Dec 02 12:45:09 2020 commencing duplicate removal, pass 2
  38. Wed Dec 02 12:46:06 2020 found 11768474 duplicates and 53146758 unique relations
  39. Wed Dec 02 12:46:06 2020 memory use: 330.4 MB
  40. Wed Dec 02 12:46:06 2020 reading ideals above 720000
  41. Wed Dec 02 12:46:06 2020 commencing singleton removal, initial pass
  42. Wed Dec 02 12:51:41 2020 memory use: 1378.0 MB
  43. Wed Dec 02 12:51:41 2020 reading all ideals from disk
  44. Wed Dec 02 12:51:42 2020 memory use: 1902.2 MB
  45. Wed Dec 02 12:51:45 2020 keeping 47825088 ideals with weight <= 200, target excess is 275955
  46. Wed Dec 02 12:51:48 2020 commencing in-memory singleton removal
  47. Wed Dec 02 12:51:50 2020 begin with 53146758 relations and 47825088 unique ideals
  48. Wed Dec 02 12:52:12 2020 reduce to 36177431 relations and 29183313 ideals in 12 passes
  49. Wed Dec 02 12:52:12 2020 max relations containing the same ideal: 164
  50. Wed Dec 02 12:52:23 2020 removing 4520959 relations and 3520959 ideals in 1000000 cliques
  51. Wed Dec 02 12:52:24 2020 commencing in-memory singleton removal
  52. Wed Dec 02 12:52:25 2020 begin with 31656472 relations and 29183313 unique ideals
  53. Wed Dec 02 12:52:37 2020 reduce to 31079092 relations and 25065027 ideals in 8 passes
  54. Wed Dec 02 12:52:37 2020 max relations containing the same ideal: 147
  55. Wed Dec 02 12:52:46 2020 removing 3647411 relations and 2647411 ideals in 1000000 cliques
  56. Wed Dec 02 12:52:47 2020 commencing in-memory singleton removal
  57. Wed Dec 02 12:52:48 2020 begin with 27431681 relations and 25065027 unique ideals
  58. Wed Dec 02 12:52:58 2020 reduce to 27080202 relations and 22054695 ideals in 8 passes
  59. Wed Dec 02 12:52:58 2020 max relations containing the same ideal: 139
  60. Wed Dec 02 12:53:06 2020 removing 3314142 relations and 2314142 ideals in 1000000 cliques
  61. Wed Dec 02 12:53:07 2020 commencing in-memory singleton removal
  62. Wed Dec 02 12:53:08 2020 begin with 23766060 relations and 22054695 unique ideals
  63. Wed Dec 02 12:53:15 2020 reduce to 23449138 relations and 19412497 ideals in 7 passes
  64. Wed Dec 02 12:53:15 2020 max relations containing the same ideal: 122
  65. Wed Dec 02 12:53:22 2020 removing 3174879 relations and 2174879 ideals in 1000000 cliques
  66. Wed Dec 02 12:53:23 2020 commencing in-memory singleton removal
  67. Wed Dec 02 12:53:24 2020 begin with 20274259 relations and 19412497 unique ideals
  68. Wed Dec 02 12:53:30 2020 reduce to 19960288 relations and 16911423 ideals in 7 passes
  69. Wed Dec 02 12:53:30 2020 max relations containing the same ideal: 113
  70. Wed Dec 02 12:53:36 2020 removing 3097890 relations and 2097890 ideals in 1000000 cliques
  71. Wed Dec 02 12:53:37 2020 commencing in-memory singleton removal
  72. Wed Dec 02 12:53:37 2020 begin with 16862398 relations and 16911423 unique ideals
  73. Wed Dec 02 12:53:42 2020 reduce to 16526581 relations and 14462637 ideals in 7 passes
  74. Wed Dec 02 12:53:42 2020 max relations containing the same ideal: 97
  75. Wed Dec 02 12:53:48 2020 removing 3052096 relations and 2052096 ideals in 1000000 cliques
  76. Wed Dec 02 12:53:48 2020 commencing in-memory singleton removal
  77. Wed Dec 02 12:53:49 2020 begin with 13474485 relations and 14462637 unique ideals
  78. Wed Dec 02 12:53:53 2020 reduce to 13095461 relations and 12011190 ideals in 8 passes
  79. Wed Dec 02 12:53:53 2020 max relations containing the same ideal: 82
  80. Wed Dec 02 12:53:57 2020 removing 2429382 relations and 1665219 ideals in 764163 cliques
  81. Wed Dec 02 12:53:58 2020 commencing in-memory singleton removal
  82. Wed Dec 02 12:53:58 2020 begin with 10666079 relations and 12011190 unique ideals
  83. Wed Dec 02 12:54:01 2020 reduce to 10361581 relations and 10025541 ideals in 8 passes
  84. Wed Dec 02 12:54:01 2020 max relations containing the same ideal: 72
  85. Wed Dec 02 12:54:05 2020 removing 100133 relations and 84201 ideals in 15932 cliques
  86. Wed Dec 02 12:54:05 2020 commencing in-memory singleton removal
  87. Wed Dec 02 12:54:05 2020 begin with 10261448 relations and 10025541 unique ideals
  88. Wed Dec 02 12:54:07 2020 reduce to 10260697 relations and 9940587 ideals in 6 passes
  89. Wed Dec 02 12:54:07 2020 max relations containing the same ideal: 72
  90. Wed Dec 02 12:54:09 2020 relations with 0 large ideals: 20342
  91. Wed Dec 02 12:54:09 2020 relations with 1 large ideals: 6015
  92. Wed Dec 02 12:54:09 2020 relations with 2 large ideals: 49293
  93. Wed Dec 02 12:54:09 2020 relations with 3 large ideals: 313042
  94. Wed Dec 02 12:54:09 2020 relations with 4 large ideals: 1075601
  95. Wed Dec 02 12:54:09 2020 relations with 5 large ideals: 2181557
  96. Wed Dec 02 12:54:09 2020 relations with 6 large ideals: 2724600
  97. Wed Dec 02 12:54:09 2020 relations with 7+ large ideals: 3890247
  98. Wed Dec 02 12:54:09 2020 commencing 2-way merge
  99. Wed Dec 02 12:54:13 2020 reduce to 6835534 relation sets and 6515424 unique ideals
  100. Wed Dec 02 12:54:13 2020 commencing full merge
  101. Wed Dec 02 12:56:16 2020 memory use: 920.4 MB
  102. Wed Dec 02 12:56:17 2020 found 3137487 cycles, need 3121624
  103. Wed Dec 02 12:56:17 2020 weight of 3121624 cycles is about 343762022 (110.12/cycle)
  104. Wed Dec 02 12:56:17 2020 distribution of cycle lengths:
  105. Wed Dec 02 12:56:17 2020 1 relations: 145645
  106. Wed Dec 02 12:56:17 2020 2 relations: 187882
  107. Wed Dec 02 12:56:17 2020 3 relations: 220574
  108. Wed Dec 02 12:56:17 2020 4 relations: 231052
  109. Wed Dec 02 12:56:17 2020 5 relations: 237673
  110. Wed Dec 02 12:56:17 2020 6 relations: 235397
  111. Wed Dec 02 12:56:17 2020 7 relations: 229604
  112. Wed Dec 02 12:56:17 2020 8 relations: 217503
  113. Wed Dec 02 12:56:17 2020 9 relations: 203703
  114. Wed Dec 02 12:56:17 2020 10+ relations: 1212591
  115. Wed Dec 02 12:56:17 2020 heaviest cycle: 28 relations
  116. Wed Dec 02 12:56:18 2020 commencing cycle optimization
  117. Wed Dec 02 12:56:23 2020 start with 27343886 relations
  118. Wed Dec 02 12:57:16 2020 pruned 1305645 relations
  119. Wed Dec 02 12:57:16 2020 memory use: 706.9 MB
  120. Wed Dec 02 12:57:16 2020 distribution of cycle lengths:
  121. Wed Dec 02 12:57:16 2020 1 relations: 145645
  122. Wed Dec 02 12:57:16 2020 2 relations: 191931
  123. Wed Dec 02 12:57:16 2020 3 relations: 229605
  124. Wed Dec 02 12:57:16 2020 4 relations: 240771
  125. Wed Dec 02 12:57:16 2020 5 relations: 250459
  126. Wed Dec 02 12:57:16 2020 6 relations: 247628
  127. Wed Dec 02 12:57:16 2020 7 relations: 242687
  128. Wed Dec 02 12:57:16 2020 8 relations: 228551
  129. Wed Dec 02 12:57:16 2020 9 relations: 213666
  130. Wed Dec 02 12:57:16 2020 10+ relations: 1130681
  131. Wed Dec 02 12:57:16 2020 heaviest cycle: 28 relations
  132. Wed Dec 02 12:57:19 2020 RelProcTime: 1150
  133. Wed Dec 02 12:57:19 2020
  134. Wed Dec 02 12:57:19 2020 commencing linear algebra
  135. Wed Dec 02 12:57:19 2020 read 3121624 cycles
  136. Wed Dec 02 12:57:23 2020 cycles contain 10094218 unique relations
  137. Wed Dec 02 12:58:39 2020 read 10094218 relations
  138. Wed Dec 02 12:58:53 2020 using 20 quadratic characters above 4294917295
  139. Wed Dec 02 12:59:21 2020 building initial matrix
  140. Wed Dec 02 13:00:47 2020 memory use: 1238.2 MB
  141. Wed Dec 02 13:00:49 2020 read 3121624 cycles
  142. Wed Dec 02 13:00:49 2020 matrix is 3121447 x 3121624 (1341.9 MB) with weight 381369514 (122.17/col)
  143. Wed Dec 02 13:00:49 2020 sparse part has weight 320565966 (102.69/col)
  144. Wed Dec 02 13:01:09 2020 filtering completed in 2 passes
  145. Wed Dec 02 13:01:10 2020 matrix is 3121337 x 3121499 (1341.9 MB) with weight 381365166 (122.17/col)
  146. Wed Dec 02 13:01:10 2020 sparse part has weight 320564066 (102.70/col)
  147. Wed Dec 02 13:01:15 2020 matrix starts at (0, 0)
  148. Wed Dec 02 13:01:15 2020 matrix is 3121337 x 3121499 (1341.9 MB) with weight 381365166 (122.17/col)
  149. Wed Dec 02 13:01:15 2020 sparse part has weight 320564066 (102.70/col)
  150. Wed Dec 02 13:01:15 2020 saving the first 240 matrix rows for later
  151. Wed Dec 02 13:01:16 2020 matrix includes 256 packed rows
  152. Wed Dec 02 13:01:17 2020 matrix is 3121097 x 3121499 (1230.9 MB) with weight 288909251 (92.55/col)
  153. Wed Dec 02 13:01:17 2020 sparse part has weight 272718621 (87.37/col)
  154. Wed Dec 02 13:01:17 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  155. Wed Dec 02 13:01:24 2020 commencing Lanczos iteration (23 threads)
  156. Wed Dec 02 13:01:24 2020 memory use: 1729.8 MB
  157. Wed Dec 02 13:01:28 2020 linear algebra at 0.0%, ETA 1h41m
  158. Wed Dec 02 13:01:29 2020 checkpointing every 1840000 dimensions
  159. Wed Dec 02 14:15:20 2020
  160. Wed Dec 02 14:15:20 2020
  161. Wed Dec 02 14:15:20 2020 Msieve v. 1.54 (SVN Unversioned directory)
  162. Wed Dec 02 14:15:20 2020 random seeds: ab6f5298 7b21da47
  163. Wed Dec 02 14:15:20 2020 factoring 11765700674516024598637049955524679957426451271633838420231629614212588048403780530530636606894825442084197714428951725010386062726277500659011143698933194794905337611 (167 digits)
  164. Wed Dec 02 14:15:21 2020 searching for 15-digit factors
  165. Wed Dec 02 14:15:21 2020 commencing number field sieve (167-digit input)
  166. Wed Dec 02 14:15:21 2020 R0: 1728989214341759593267464855815671202
  167. Wed Dec 02 14:15:21 2020 R1: -1314910344602155601
  168. Wed Dec 02 14:15:21 2020 A0: -1
  169. Wed Dec 02 14:15:21 2020 A1: 3
  170. Wed Dec 02 14:15:21 2020 A2: 6
  171. Wed Dec 02 14:15:21 2020 A3: -4
  172. Wed Dec 02 14:15:21 2020 A4: -5
  173. Wed Dec 02 14:15:21 2020 A5: 1
  174. Wed Dec 02 14:15:21 2020 A6: 1
  175. Wed Dec 02 14:15:21 2020 skew 1.00, size 9.979e-011, alpha 3.126, combined = 3.281e-012 rroots = 6
  176. Wed Dec 02 14:15:21 2020
  177. Wed Dec 02 14:15:21 2020 commencing linear algebra
  178. Wed Dec 02 14:15:22 2020 matrix starts at (0, 0)
  179. Wed Dec 02 14:15:22 2020 matrix is 3121337 x 3121499 (1341.9 MB) with weight 381365166 (122.17/col)
  180. Wed Dec 02 14:15:22 2020 sparse part has weight 320564066 (102.70/col)
  181. Wed Dec 02 14:15:22 2020 saving the first 240 matrix rows for later
  182. Wed Dec 02 14:15:23 2020 matrix includes 256 packed rows
  183. Wed Dec 02 14:15:24 2020 matrix is 3121097 x 3121499 (1230.9 MB) with weight 288909251 (92.55/col)
  184. Wed Dec 02 14:15:24 2020 sparse part has weight 272718621 (87.37/col)
  185. Wed Dec 02 14:15:24 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  186. Wed Dec 02 14:15:31 2020 commencing Lanczos iteration (23 threads)
  187. Wed Dec 02 14:15:31 2020 memory use: 1729.8 MB
  188. Wed Dec 02 14:15:31 2020 restarting at iteration 7209 (dim = 1840030)
  189. Wed Dec 02 14:15:35 2020 linear algebra at 59.0%, ETA 0h55m
  190. Wed Dec 02 14:15:36 2020 checkpointing every 1470000 dimensions
  191. Wed Dec 02 14:36:48 2020
  192. Wed Dec 02 14:36:48 2020
  193. Wed Dec 02 14:36:48 2020 Msieve v. 1.54 (SVN Unversioned directory)
  194. Wed Dec 02 14:36:48 2020 random seeds: 79d635d0 4f83a7f1
  195. Wed Dec 02 14:36:48 2020 factoring 11765700674516024598637049955524679957426451271633838420231629614212588048403780530530636606894825442084197714428951725010386062726277500659011143698933194794905337611 (167 digits)
  196. Wed Dec 02 14:36:49 2020 searching for 15-digit factors
  197. Wed Dec 02 14:36:49 2020 commencing number field sieve (167-digit input)
  198. Wed Dec 02 14:36:49 2020 R0: 1728989214341759593267464855815671202
  199. Wed Dec 02 14:36:49 2020 R1: -1314910344602155601
  200. Wed Dec 02 14:36:49 2020 A0: -1
  201. Wed Dec 02 14:36:49 2020 A1: 3
  202. Wed Dec 02 14:36:49 2020 A2: 6
  203. Wed Dec 02 14:36:49 2020 A3: -4
  204. Wed Dec 02 14:36:49 2020 A4: -5
  205. Wed Dec 02 14:36:49 2020 A5: 1
  206. Wed Dec 02 14:36:49 2020 A6: 1
  207. Wed Dec 02 14:36:49 2020 skew 1.00, size 9.979e-011, alpha 3.126, combined = 3.281e-012 rroots = 6
  208. Wed Dec 02 14:36:49 2020
  209. Wed Dec 02 14:36:49 2020 commencing linear algebra
  210. Wed Dec 02 14:36:50 2020 matrix starts at (0, 0)
  211. Wed Dec 02 14:36:50 2020 matrix is 3121337 x 3121499 (1341.9 MB) with weight 381365166 (122.17/col)
  212. Wed Dec 02 14:36:50 2020 sparse part has weight 320564066 (102.70/col)
  213. Wed Dec 02 14:36:50 2020 saving the first 240 matrix rows for later
  214. Wed Dec 02 14:36:51 2020 matrix includes 256 packed rows
  215. Wed Dec 02 14:36:52 2020 matrix is 3121097 x 3121499 (1230.9 MB) with weight 288909251 (92.55/col)
  216. Wed Dec 02 14:36:52 2020 sparse part has weight 272718621 (87.37/col)
  217. Wed Dec 02 14:36:52 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  218. Wed Dec 02 14:36:59 2020 commencing Lanczos iteration (24 threads)
  219. Wed Dec 02 14:36:59 2020 memory use: 1729.9 MB
  220. Wed Dec 02 14:36:59 2020 restarting at iteration 7209 (dim = 1840030)
  221. Wed Dec 02 14:37:02 2020 linear algebra at 59.0%, ETA 0h41m
  222. Wed Dec 02 14:37:03 2020 checkpointing every 1840000 dimensions
  223. Wed Dec 02 15:19:52 2020 lanczos halted after 12229 iterations (dim = 3121096)
  224. Wed Dec 02 15:20:02 2020 recovered 35 nontrivial dependencies
  225. Wed Dec 02 15:20:02 2020 BLanczosTime: 2593
  226. Wed Dec 02 15:20:02 2020
  227. Wed Dec 02 15:20:02 2020 commencing square root phase
  228. Wed Dec 02 15:20:02 2020 reading relations for dependency 1
  229. Wed Dec 02 15:20:03 2020 read 1561814 cycles
  230. Wed Dec 02 15:20:05 2020 cycles contain 5049794 unique relations
  231. Wed Dec 02 15:20:59 2020 read 5049794 relations
  232. Wed Dec 02 15:21:14 2020 multiplying 5049794 relations
  233. Wed Dec 02 15:22:57 2020 multiply complete, coefficients have about 119.89 million bits
  234. Wed Dec 02 15:22:57 2020 initial square root is modulo 403369003
  235. Wed Dec 02 15:24:48 2020 sqrtTime: 286
  236. Wed Dec 02 15:24:48 2020 p58 factor: 7169206308674505053102271390997897555990809935497993068331
  237. Wed Dec 02 15:24:48 2020 p109 factor: 1641144105489043014803931531022793602202962588332889231018035621946375742410512922538636708166753262364798881
  238. Wed Dec 02 15:24:48 2020 elapsed time 00:48:00
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