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8m5_283

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Jan 5th, 2021
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  1. Sun Jan 3 06:33:50 2021
  2. Sun Jan 3 06:33:50 2021
  3. Sun Jan 3 06:33:50 2021 Msieve v. 1.53 (SVN 988M)
  4. Sun Jan 3 06:33:50 2021 random seeds: 4ca73fd6 e90fc8aa
  5. Sun Jan 3 06:33:50 2021 factoring 35154583247231738486682239245555837565530545934018509666423264818248545787565832486796856717648633543260679767356348127393157934354608106407614161521560662747245831943409232206372516261252783222030061856033757511755512569854597 (227 digits)
  6. Sun Jan 3 06:33:51 2021 searching for 15-digit factors
  7. Sun Jan 3 06:33:52 2021 commencing number field sieve (227-digit input)
  8. Sun Jan 3 06:33:52 2021 R0: 2787593149816327892691964784081045188247552
  9. Sun Jan 3 06:33:52 2021 R1: -710542735760100185871124267578125
  10. Sun Jan 3 06:33:52 2021 A0: -5
  11. Sun Jan 3 06:33:52 2021 A1: 0
  12. Sun Jan 3 06:33:52 2021 A2: 0
  13. Sun Jan 3 06:33:52 2021 A3: 0
  14. Sun Jan 3 06:33:52 2021 A4: 0
  15. Sun Jan 3 06:33:52 2021 A5: 0
  16. Sun Jan 3 06:33:52 2021 A6: 8
  17. Sun Jan 3 06:33:52 2021 skew 0.93, size 1.585e-12, alpha 0.660, combined = 1.617e-13 rroots = 2
  18. Sun Jan 3 06:33:52 2021
  19. Sun Jan 3 06:33:52 2021 commencing relation filtering
  20. Sun Jan 3 06:33:52 2021 setting target matrix density to 130.0
  21. Sun Jan 3 06:33:52 2021 estimated available RAM is 32768.0 MB
  22. Sun Jan 3 06:33:52 2021 commencing duplicate removal, pass 1
  23. Sun Jan 3 06:53:52 2021 error -11 reading relation 199957770
  24. Sun Jan 3 06:54:09 2021 error -11 reading relation 202763809
  25. Sun Jan 3 06:54:11 2021 error -15 reading relation 203040893
  26. Sun Jan 3 06:54:48 2021 error -15 reading relation 209292091
  27. Sun Jan 3 06:54:51 2021 skipped 555 relations with b > 2^32
  28. Sun Jan 3 06:54:51 2021 found 9601678 hash collisions in 209650725 relations
  29. Sun Jan 3 06:55:01 2021 added 1218855 free relations
  30. Sun Jan 3 06:55:02 2021 commencing duplicate removal, pass 2
  31. Sun Jan 3 06:55:50 2021 found 1 duplicates and 210869579 unique relations
  32. Sun Jan 3 06:55:50 2021 memory use: 522.4 MB
  33. Sun Jan 3 06:55:50 2021 reading ideals above 144900096
  34. Sun Jan 3 06:55:50 2021 commencing singleton removal, initial pass
  35. Sun Jan 3 07:10:49 2021 memory use: 5512.0 MB
  36. Sun Jan 3 07:10:50 2021 reading all ideals from disk
  37. Sun Jan 3 07:12:16 2021 memory use: 3629.5 MB
  38. Sun Jan 3 07:12:23 2021 commencing in-memory singleton removal
  39. Sun Jan 3 07:12:29 2021 begin with 210869579 relations and 164716459 unique ideals
  40. Sun Jan 3 07:13:59 2021 reduce to 149823691 relations and 98430766 ideals in 14 passes
  41. Sun Jan 3 07:13:59 2021 max relations containing the same ideal: 48
  42. Sun Jan 3 07:14:16 2021 reading ideals above 720000
  43. Sun Jan 3 07:14:16 2021 commencing singleton removal, initial pass
  44. Sun Jan 3 07:28:52 2021 memory use: 3012.0 MB
  45. Sun Jan 3 07:28:52 2021 reading all ideals from disk
  46. Sun Jan 3 07:31:16 2021 memory use: 6083.4 MB
  47. Sun Jan 3 07:31:28 2021 keeping 113960564 ideals with weight <= 200, target excess is 816490
  48. Sun Jan 3 07:31:42 2021 commencing in-memory singleton removal
  49. Sun Jan 3 07:31:52 2021 begin with 149823691 relations and 113960564 unique ideals
  50. Sun Jan 3 07:33:00 2021 reduce to 149823108 relations and 113959981 ideals in 6 passes
  51. Sun Jan 3 07:33:00 2021 max relations containing the same ideal: 200
  52. Sun Jan 3 07:33:53 2021 removing 9888225 relations and 7888225 ideals in 2000000 cliques
  53. Sun Jan 3 07:33:56 2021 commencing in-memory singleton removal
  54. Sun Jan 3 07:34:06 2021 begin with 139934883 relations and 113959981 unique ideals
  55. Sun Jan 3 07:35:30 2021 reduce to 139456576 relations and 105585410 ideals in 8 passes
  56. Sun Jan 3 07:35:30 2021 max relations containing the same ideal: 198
  57. Sun Jan 3 07:36:20 2021 removing 7569316 relations and 5569316 ideals in 2000000 cliques
  58. Sun Jan 3 07:36:23 2021 commencing in-memory singleton removal
  59. Sun Jan 3 07:36:32 2021 begin with 131887260 relations and 105585410 unique ideals
  60. Sun Jan 3 07:37:41 2021 reduce to 131563264 relations and 99687330 ideals in 7 passes
  61. Sun Jan 3 07:37:41 2021 max relations containing the same ideal: 193
  62. Sun Jan 3 07:38:28 2021 removing 6889177 relations and 4889177 ideals in 2000000 cliques
  63. Sun Jan 3 07:38:31 2021 commencing in-memory singleton removal
  64. Sun Jan 3 07:38:39 2021 begin with 124674087 relations and 99687330 unique ideals
  65. Sun Jan 3 07:39:35 2021 reduce to 124390937 relations and 94510919 ideals in 6 passes
  66. Sun Jan 3 07:39:35 2021 max relations containing the same ideal: 186
  67. Sun Jan 3 07:40:20 2021 removing 6543512 relations and 4543512 ideals in 2000000 cliques
  68. Sun Jan 3 07:40:22 2021 commencing in-memory singleton removal
  69. Sun Jan 3 07:40:30 2021 begin with 117847425 relations and 94510919 unique ideals
  70. Sun Jan 3 07:41:22 2021 reduce to 117586856 relations and 89702904 ideals in 6 passes
  71. Sun Jan 3 07:41:22 2021 max relations containing the same ideal: 182
  72. Sun Jan 3 07:42:05 2021 removing 6323740 relations and 4323740 ideals in 2000000 cliques
  73. Sun Jan 3 07:42:08 2021 commencing in-memory singleton removal
  74. Sun Jan 3 07:42:15 2021 begin with 111263116 relations and 89702904 unique ideals
  75. Sun Jan 3 07:43:05 2021 reduce to 111012911 relations and 85125057 ideals in 6 passes
  76. Sun Jan 3 07:43:05 2021 max relations containing the same ideal: 176
  77. Sun Jan 3 07:43:45 2021 removing 6173744 relations and 4173744 ideals in 2000000 cliques
  78. Sun Jan 3 07:43:47 2021 commencing in-memory singleton removal
  79. Sun Jan 3 07:43:54 2021 begin with 104839167 relations and 85125057 unique ideals
  80. Sun Jan 3 07:44:40 2021 reduce to 104593379 relations and 80701600 ideals in 6 passes
  81. Sun Jan 3 07:44:40 2021 max relations containing the same ideal: 171
  82. Sun Jan 3 07:45:18 2021 removing 6063173 relations and 4063173 ideals in 2000000 cliques
  83. Sun Jan 3 07:45:20 2021 commencing in-memory singleton removal
  84. Sun Jan 3 07:45:26 2021 begin with 98530206 relations and 80701600 unique ideals
  85. Sun Jan 3 07:46:17 2021 reduce to 98284414 relations and 76388342 ideals in 7 passes
  86. Sun Jan 3 07:46:17 2021 max relations containing the same ideal: 163
  87. Sun Jan 3 07:46:53 2021 removing 5982276 relations and 3982276 ideals in 2000000 cliques
  88. Sun Jan 3 07:46:55 2021 commencing in-memory singleton removal
  89. Sun Jan 3 07:47:01 2021 begin with 92302138 relations and 76388342 unique ideals
  90. Sun Jan 3 07:47:41 2021 reduce to 92054344 relations and 72153677 ideals in 6 passes
  91. Sun Jan 3 07:47:41 2021 max relations containing the same ideal: 157
  92. Sun Jan 3 07:48:15 2021 removing 5924413 relations and 3924413 ideals in 2000000 cliques
  93. Sun Jan 3 07:48:17 2021 commencing in-memory singleton removal
  94. Sun Jan 3 07:48:23 2021 begin with 86129931 relations and 72153677 unique ideals
  95. Sun Jan 3 07:49:06 2021 reduce to 85876808 relations and 67971298 ideals in 7 passes
  96. Sun Jan 3 07:49:06 2021 max relations containing the same ideal: 147
  97. Sun Jan 3 07:49:37 2021 removing 5882538 relations and 3882538 ideals in 2000000 cliques
  98. Sun Jan 3 07:49:40 2021 commencing in-memory singleton removal
  99. Sun Jan 3 07:49:45 2021 begin with 79994270 relations and 67971298 unique ideals
  100. Sun Jan 3 07:50:19 2021 reduce to 79730569 relations and 63819669 ideals in 6 passes
  101. Sun Jan 3 07:50:19 2021 max relations containing the same ideal: 141
  102. Sun Jan 3 07:50:49 2021 removing 5854904 relations and 3854904 ideals in 2000000 cliques
  103. Sun Jan 3 07:50:51 2021 commencing in-memory singleton removal
  104. Sun Jan 3 07:50:55 2021 begin with 73875665 relations and 63819669 unique ideals
  105. Sun Jan 3 07:51:27 2021 reduce to 73599208 relations and 59682286 ideals in 6 passes
  106. Sun Jan 3 07:51:27 2021 max relations containing the same ideal: 133
  107. Sun Jan 3 07:51:54 2021 removing 5839369 relations and 3839369 ideals in 2000000 cliques
  108. Sun Jan 3 07:51:56 2021 commencing in-memory singleton removal
  109. Sun Jan 3 07:52:00 2021 begin with 67759839 relations and 59682286 unique ideals
  110. Sun Jan 3 07:52:29 2021 reduce to 67466005 relations and 55542269 ideals in 6 passes
  111. Sun Jan 3 07:52:29 2021 max relations containing the same ideal: 125
  112. Sun Jan 3 07:52:54 2021 removing 5834044 relations and 3834044 ideals in 2000000 cliques
  113. Sun Jan 3 07:52:56 2021 commencing in-memory singleton removal
  114. Sun Jan 3 07:53:00 2021 begin with 61631961 relations and 55542269 unique ideals
  115. Sun Jan 3 07:53:26 2021 reduce to 61315949 relations and 51384263 ideals in 6 passes
  116. Sun Jan 3 07:53:26 2021 max relations containing the same ideal: 119
  117. Sun Jan 3 07:53:49 2021 removing 5843863 relations and 3843863 ideals in 2000000 cliques
  118. Sun Jan 3 07:53:50 2021 commencing in-memory singleton removal
  119. Sun Jan 3 07:53:54 2021 begin with 55472086 relations and 51384263 unique ideals
  120. Sun Jan 3 07:54:17 2021 reduce to 55126413 relations and 47185248 ideals in 6 passes
  121. Sun Jan 3 07:54:17 2021 max relations containing the same ideal: 113
  122. Sun Jan 3 07:54:37 2021 removing 5860389 relations and 3860389 ideals in 2000000 cliques
  123. Sun Jan 3 07:54:39 2021 commencing in-memory singleton removal
  124. Sun Jan 3 07:54:42 2021 begin with 49266024 relations and 47185248 unique ideals
  125. Sun Jan 3 07:55:02 2021 reduce to 48881554 relations and 42928678 ideals in 6 passes
  126. Sun Jan 3 07:55:02 2021 max relations containing the same ideal: 107
  127. Sun Jan 3 07:55:20 2021 removing 5892922 relations and 3892922 ideals in 2000000 cliques
  128. Sun Jan 3 07:55:22 2021 commencing in-memory singleton removal
  129. Sun Jan 3 07:55:25 2021 begin with 42988632 relations and 42928678 unique ideals
  130. Sun Jan 3 07:55:45 2021 reduce to 42550731 relations and 38583192 ideals in 7 passes
  131. Sun Jan 3 07:55:45 2021 max relations containing the same ideal: 95
  132. Sun Jan 3 07:56:01 2021 removing 5945091 relations and 3945091 ideals in 2000000 cliques
  133. Sun Jan 3 07:56:03 2021 commencing in-memory singleton removal
  134. Sun Jan 3 07:56:05 2021 begin with 36605640 relations and 38583192 unique ideals
  135. Sun Jan 3 07:56:22 2021 reduce to 36082300 relations and 34094504 ideals in 7 passes
  136. Sun Jan 3 07:56:22 2021 max relations containing the same ideal: 83
  137. Sun Jan 3 07:56:35 2021 removing 3512575 relations and 2471908 ideals in 1040667 cliques
  138. Sun Jan 3 07:56:37 2021 commencing in-memory singleton removal
  139. Sun Jan 3 07:56:39 2021 begin with 32569725 relations and 34094504 unique ideals
  140. Sun Jan 3 07:56:54 2021 reduce to 32329143 relations and 31375996 ideals in 7 passes
  141. Sun Jan 3 07:56:54 2021 max relations containing the same ideal: 77
  142. Sun Jan 3 07:57:09 2021 relations with 0 large ideals: 31270
  143. Sun Jan 3 07:57:09 2021 relations with 1 large ideals: 10714
  144. Sun Jan 3 07:57:09 2021 relations with 2 large ideals: 145966
  145. Sun Jan 3 07:57:09 2021 relations with 3 large ideals: 938543
  146. Sun Jan 3 07:57:09 2021 relations with 4 large ideals: 3231934
  147. Sun Jan 3 07:57:09 2021 relations with 5 large ideals: 6631567
  148. Sun Jan 3 07:57:09 2021 relations with 6 large ideals: 8541354
  149. Sun Jan 3 07:57:09 2021 relations with 7+ large ideals: 12797795
  150. Sun Jan 3 07:57:09 2021 commencing 2-way merge
  151. Sun Jan 3 07:57:26 2021 reduce to 21785161 relation sets and 20832014 unique ideals
  152. Sun Jan 3 07:57:26 2021 commencing full merge
  153. Sun Jan 3 08:05:30 2021 memory use: 2861.9 MB
  154. Sun Jan 3 08:05:34 2021 found 9732038 cycles, need 9688214
  155. Sun Jan 3 08:05:35 2021 weight of 9688214 cycles is about 1259856869 (130.04/cycle)
  156. Sun Jan 3 08:05:35 2021 distribution of cycle lengths:
  157. Sun Jan 3 08:05:35 2021 1 relations: 307395
  158. Sun Jan 3 08:05:35 2021 2 relations: 467975
  159. Sun Jan 3 08:05:35 2021 3 relations: 585716
  160. Sun Jan 3 08:05:35 2021 4 relations: 642214
  161. Sun Jan 3 08:05:35 2021 5 relations: 690397
  162. Sun Jan 3 08:05:35 2021 6 relations: 706745
  163. Sun Jan 3 08:05:35 2021 7 relations: 709989
  164. Sun Jan 3 08:05:35 2021 8 relations: 694082
  165. Sun Jan 3 08:05:35 2021 9 relations: 662205
  166. Sun Jan 3 08:05:35 2021 10+ relations: 4221496
  167. Sun Jan 3 08:05:35 2021 heaviest cycle: 28 relations
  168. Sun Jan 3 08:05:39 2021 commencing cycle optimization
  169. Sun Jan 3 08:06:02 2021 start with 90816159 relations
  170. Sun Jan 3 08:09:59 2021 pruned 4959281 relations
  171. Sun Jan 3 08:09:59 2021 memory use: 2275.6 MB
  172. Sun Jan 3 08:09:59 2021 distribution of cycle lengths:
  173. Sun Jan 3 08:09:59 2021 1 relations: 307395
  174. Sun Jan 3 08:09:59 2021 2 relations: 480470
  175. Sun Jan 3 08:09:59 2021 3 relations: 612405
  176. Sun Jan 3 08:09:59 2021 4 relations: 673769
  177. Sun Jan 3 08:09:59 2021 5 relations: 730969
  178. Sun Jan 3 08:09:59 2021 6 relations: 749945
  179. Sun Jan 3 08:09:59 2021 7 relations: 758940
  180. Sun Jan 3 08:09:59 2021 8 relations: 739473
  181. Sun Jan 3 08:09:59 2021 9 relations: 705242
  182. Sun Jan 3 08:09:59 2021 10+ relations: 3929606
  183. Sun Jan 3 08:09:59 2021 heaviest cycle: 28 relations
  184. Sun Jan 3 08:10:30 2021 RelProcTime: 5798
  185. Sun Jan 3 08:10:30 2021
  186. Sun Jan 3 08:10:30 2021 commencing linear algebra
  187. Sun Jan 3 08:10:31 2021 read 9688214 cycles
  188. Sun Jan 3 08:10:53 2021 cycles contain 31863866 unique relations
  189. Sun Jan 3 08:18:21 2021 read 31863866 relations
  190. Sun Jan 3 08:19:26 2021 using 20 quadratic characters above 4294917295
  191. Sun Jan 3 08:21:14 2021 building initial matrix
  192. Sun Jan 3 08:27:09 2021 memory use: 4136.3 MB
  193. Sun Jan 3 08:29:10 2021 read 9688214 cycles
  194. Sun Jan 3 08:29:11 2021 matrix is 9688037 x 9688214 (4837.4 MB) with weight 1395023527 (143.99/col)
  195. Sun Jan 3 08:29:11 2021 sparse part has weight 1161516117 (119.89/col)
  196. Sun Jan 3 08:30:53 2021 filtering completed in 2 passes
  197. Sun Jan 3 08:30:54 2021 matrix is 9687937 x 9688114 (4837.4 MB) with weight 1395020493 (143.99/col)
  198. Sun Jan 3 08:30:54 2021 sparse part has weight 1161515403 (119.89/col)
  199. Sun Jan 3 08:33:12 2021 matrix starts at (0, 0)
  200. Sun Jan 3 08:33:13 2021 matrix is 9687937 x 9688114 (4837.4 MB) with weight 1395020493 (143.99/col)
  201. Sun Jan 3 08:33:13 2021 sparse part has weight 1161515403 (119.89/col)
  202. Sun Jan 3 08:33:13 2021 saving the first 48 matrix rows for later
  203. Sun Jan 3 08:33:14 2021 matrix includes 64 packed rows
  204. Sun Jan 3 08:33:15 2021 matrix is 9687889 x 9688114 (4661.6 MB) with weight 1204282418 (124.31/col)
  205. Sun Jan 3 08:33:15 2021 sparse part has weight 1125131838 (116.14/col)
  206. Sun Jan 3 08:33:15 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  207. Sun Jan 3 08:34:08 2021 commencing Lanczos iteration (16 threads)
  208. Sun Jan 3 08:34:08 2021 memory use: 3990.2 MB
  209. Sun Jan 3 08:34:20 2021 linear algebra at 0.0%, ETA 21h15m
  210. Sun Jan 3 08:34:23 2021 checkpointing every 490000 dimensions
  211. Mon Jan 4 04:24:43 2021 lanczos halted after 153207 iterations (dim = 9687887)
  212. Mon Jan 4 04:24:52 2021 recovered 36 nontrivial dependencies
  213. Mon Jan 4 04:24:56 2021 BLanczosTime: 72866
  214. Mon Jan 4 04:24:56 2021
  215. Mon Jan 4 04:24:56 2021 commencing square root phase
  216. Mon Jan 4 04:24:56 2021 handling dependencies 1 to 64
  217. Mon Jan 4 04:24:56 2021 reading relations for dependency 1
  218. Mon Jan 4 04:25:04 2021 read 4841344 cycles
  219. Mon Jan 4 04:25:14 2021 cycles contain 15931144 unique relations
  220. Mon Jan 4 04:34:10 2021 read 15931144 relations
  221. Mon Jan 4 04:35:18 2021 multiplying 15931144 relations
  222. Mon Jan 4 04:44:21 2021 multiply complete, coefficients have about 457.68 million bits
  223. Mon Jan 4 04:44:22 2021 initial square root is modulo 162996343
  224. Mon Jan 4 04:54:12 2021 sqrtTime: 1756
  225. Mon Jan 4 04:54:12 2021 p90 factor: 464969267080074787461258396097781630167378756522966212957078194975297861002935363382383671
  226. Mon Jan 4 04:54:12 2021 p137 factor: 75606251286233040396183075687484933428710585585008576740568908276630512846094408116687413689207028476906697184237910970253053346936815907
  227. Mon Jan 4 04:54:12 2021 elapsed time 22:20:22
  228.  
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