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13_2_873m1

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Nov 10th, 2020
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  1. Thu Nov 5 18:31:35 2020
  2. Thu Nov 5 18:31:35 2020
  3. Thu Nov 5 18:31:35 2020 Msieve v. 1.54 (SVN 1028)
  4. Thu Nov 5 18:31:35 2020 random seeds: 5cacbd5a 055de773
  5. Thu Nov 5 18:31:35 2020 factoring 3339091209876304868223507042738464541169675059703221021138354474809617124164392284930943048735275519233752674328191141550682794451937099501781930817896939549837732767855865762522035141285939331506795809950951639695136117130483 (226 digits)
  6. Thu Nov 5 18:31:37 2020 no P-1/P+1/ECM available, skipping
  7. Thu Nov 5 18:31:37 2020 commencing number field sieve (226-digit input)
  8. Thu Nov 5 18:31:37 2020 R0: 44601490397061246283071436545296723011960832
  9. Thu Nov 5 18:31:37 2020 R1: -1
  10. Thu Nov 5 18:31:37 2020 A0: -1
  11. Thu Nov 5 18:31:37 2020 A1: 0
  12. Thu Nov 5 18:31:37 2020 A2: 0
  13. Thu Nov 5 18:31:37 2020 A3: 0
  14. Thu Nov 5 18:31:37 2020 A4: 0
  15. Thu Nov 5 18:31:37 2020 A5: 0
  16. Thu Nov 5 18:31:37 2020 A6: 104
  17. Thu Nov 5 18:31:37 2020 skew 0.47, size 4.738e-13, alpha 1.288, combined = 6.632e-14 rroots = 2
  18. Thu Nov 5 18:31:37 2020
  19. Thu Nov 5 18:31:37 2020 commencing relation filtering
  20. Thu Nov 5 18:31:37 2020 setting target matrix density to 110.0
  21. Thu Nov 5 18:31:37 2020 estimated available RAM is 31953.4 MB
  22. Thu Nov 5 18:31:37 2020 commencing duplicate removal, pass 1
  23. Thu Nov 5 18:36:35 2020 error -15 reading relation 31076242
  24. Thu Nov 5 18:40:14 2020 error -5 reading relation 54475971
  25. Thu Nov 5 18:56:01 2020 error -15 reading relation 156332891
  26. Thu Nov 5 19:01:21 2020 error -15 reading relation 190584418
  27. Thu Nov 5 19:01:21 2020 error -15 reading relation 190675728
  28. Thu Nov 5 19:02:27 2020 error -15 reading relation 197698736
  29. Thu Nov 5 19:08:10 2020 error -1 reading relation 234149941
  30. Thu Nov 5 19:13:53 2020 error -15 reading relation 270843380
  31. Thu Nov 5 19:14:17 2020 error -6 reading relation 273447069
  32. Thu Nov 5 19:23:37 2020 skipped 3621 relations with b > 2^32
  33. Thu Nov 5 19:23:37 2020 skipped 4 relations with composite factors
  34. Thu Nov 5 19:23:37 2020 found 23529552 hash collisions in 334286439 relations
  35. Thu Nov 5 19:23:56 2020 added 1218471 free relations
  36. Thu Nov 5 19:23:56 2020 commencing duplicate removal, pass 2
  37. Thu Nov 5 19:25:39 2020 found 1 duplicates and 335504909 unique relations
  38. Thu Nov 5 19:25:39 2020 memory use: 1257.5 MB
  39. Thu Nov 5 19:25:39 2020 reading ideals above 159973376
  40. Thu Nov 5 19:25:39 2020 commencing singleton removal, initial pass
  41. Thu Nov 5 20:03:10 2020 memory use: 6024.0 MB
  42. Thu Nov 5 20:03:10 2020 reading all ideals from disk
  43. Thu Nov 5 20:03:24 2020 memory use: 6440.4 MB
  44. Thu Nov 5 20:03:46 2020 commencing in-memory singleton removal
  45. Thu Nov 5 20:04:06 2020 begin with 335504909 relations and 303301631 unique ideals
  46. Thu Nov 5 20:07:40 2020 reduce to 199606255 relations and 152778876 ideals in 16 passes
  47. Thu Nov 5 20:07:40 2020 max relations containing the same ideal: 53
  48. Thu Nov 5 20:07:56 2020 reading ideals above 720000
  49. Thu Nov 5 20:07:56 2020 commencing singleton removal, initial pass
  50. Thu Nov 5 20:36:36 2020 memory use: 5512.0 MB
  51. Thu Nov 5 20:36:36 2020 reading all ideals from disk
  52. Thu Nov 5 20:37:00 2020 memory use: 8284.2 MB
  53. Thu Nov 5 20:37:33 2020 keeping 169678451 ideals with weight <= 200, target excess is 1041151
  54. Thu Nov 5 20:38:07 2020 commencing in-memory singleton removal
  55. Thu Nov 5 20:38:32 2020 begin with 199606255 relations and 169678451 unique ideals
  56. Thu Nov 5 20:40:08 2020 reduce to 199606200 relations and 169678396 ideals in 4 passes
  57. Thu Nov 5 20:40:08 2020 max relations containing the same ideal: 200
  58. Thu Nov 5 20:42:08 2020 removing 13758112 relations and 11758112 ideals in 2000000 cliques
  59. Thu Nov 5 20:42:14 2020 commencing in-memory singleton removal
  60. Thu Nov 5 20:42:37 2020 begin with 185848088 relations and 169678396 unique ideals
  61. Thu Nov 5 20:45:58 2020 reduce to 185093672 relations and 157155727 ideals in 9 passes
  62. Thu Nov 5 20:45:58 2020 max relations containing the same ideal: 197
  63. Thu Nov 5 20:47:51 2020 removing 10431298 relations and 8431298 ideals in 2000000 cliques
  64. Thu Nov 5 20:47:56 2020 commencing in-memory singleton removal
  65. Thu Nov 5 20:48:19 2020 begin with 174662374 relations and 157155727 unique ideals
  66. Thu Nov 5 20:51:13 2020 reduce to 174177887 relations and 148234196 ideals in 8 passes
  67. Thu Nov 5 20:51:13 2020 max relations containing the same ideal: 193
  68. Thu Nov 5 20:53:02 2020 removing 9402905 relations and 7402905 ideals in 2000000 cliques
  69. Thu Nov 5 20:53:07 2020 commencing in-memory singleton removal
  70. Thu Nov 5 20:53:28 2020 begin with 164774982 relations and 148234196 unique ideals
  71. Thu Nov 5 20:55:54 2020 reduce to 164350407 relations and 140401681 ideals in 7 passes
  72. Thu Nov 5 20:55:54 2020 max relations containing the same ideal: 187
  73. Thu Nov 5 20:57:41 2020 removing 8862869 relations and 6862869 ideals in 2000000 cliques
  74. Thu Nov 5 20:57:46 2020 commencing in-memory singleton removal
  75. Thu Nov 5 20:58:06 2020 begin with 155487538 relations and 140401681 unique ideals
  76. Thu Nov 5 21:00:44 2020 reduce to 155085584 relations and 133132195 ideals in 8 passes
  77. Thu Nov 5 21:00:44 2020 max relations containing the same ideal: 182
  78. Thu Nov 5 21:02:20 2020 removing 8525686 relations and 6525686 ideals in 2000000 cliques
  79. Thu Nov 5 21:02:24 2020 commencing in-memory singleton removal
  80. Thu Nov 5 21:02:42 2020 begin with 146559898 relations and 133132195 unique ideals
  81. Thu Nov 5 21:04:43 2020 reduce to 146165614 relations and 126207525 ideals in 7 passes
  82. Thu Nov 5 21:04:43 2020 max relations containing the same ideal: 178
  83. Thu Nov 5 21:06:12 2020 removing 8297064 relations and 6297064 ideals in 2000000 cliques
  84. Thu Nov 5 21:06:16 2020 commencing in-memory singleton removal
  85. Thu Nov 5 21:06:33 2020 begin with 137868550 relations and 126207525 unique ideals
  86. Thu Nov 5 21:08:26 2020 reduce to 137473819 relations and 119510881 ideals in 7 passes
  87. Thu Nov 5 21:08:26 2020 max relations containing the same ideal: 171
  88. Thu Nov 5 21:09:50 2020 removing 8149024 relations and 6149024 ideals in 2000000 cliques
  89. Thu Nov 5 21:09:54 2020 commencing in-memory singleton removal
  90. Thu Nov 5 21:10:10 2020 begin with 129324795 relations and 119510881 unique ideals
  91. Thu Nov 5 21:12:11 2020 reduce to 128923925 relations and 112955831 ideals in 8 passes
  92. Thu Nov 5 21:12:11 2020 max relations containing the same ideal: 162
  93. Thu Nov 5 21:13:30 2020 removing 8051363 relations and 6051363 ideals in 2000000 cliques
  94. Thu Nov 5 21:13:33 2020 commencing in-memory singleton removal
  95. Thu Nov 5 21:13:48 2020 begin with 120872562 relations and 112955831 unique ideals
  96. Thu Nov 5 21:15:41 2020 reduce to 120454847 relations and 106480983 ideals in 8 passes
  97. Thu Nov 5 21:15:41 2020 max relations containing the same ideal: 156
  98. Thu Nov 5 21:16:55 2020 removing 7988415 relations and 5988415 ideals in 2000000 cliques
  99. Thu Nov 5 21:16:58 2020 commencing in-memory singleton removal
  100. Thu Nov 5 21:17:12 2020 begin with 112466432 relations and 106480983 unique ideals
  101. Thu Nov 5 21:18:56 2020 reduce to 112031778 relations and 100051485 ideals in 8 passes
  102. Thu Nov 5 21:18:56 2020 max relations containing the same ideal: 150
  103. Thu Nov 5 21:20:05 2020 removing 7966325 relations and 5966325 ideals in 2000000 cliques
  104. Thu Nov 5 21:20:08 2020 commencing in-memory singleton removal
  105. Thu Nov 5 21:20:21 2020 begin with 104065453 relations and 100051485 unique ideals
  106. Thu Nov 5 21:21:44 2020 reduce to 103603162 relations and 93615618 ideals in 7 passes
  107. Thu Nov 5 21:21:44 2020 max relations containing the same ideal: 142
  108. Thu Nov 5 21:22:48 2020 removing 7978133 relations and 5978133 ideals in 2000000 cliques
  109. Thu Nov 5 21:22:52 2020 commencing in-memory singleton removal
  110. Thu Nov 5 21:23:03 2020 begin with 95625029 relations and 93615618 unique ideals
  111. Thu Nov 5 21:24:41 2020 reduce to 95123570 relations and 87127689 ideals in 9 passes
  112. Thu Nov 5 21:24:41 2020 max relations containing the same ideal: 133
  113. Thu Nov 5 21:25:40 2020 removing 8011161 relations and 6011161 ideals in 2000000 cliques
  114. Thu Nov 5 21:25:43 2020 commencing in-memory singleton removal
  115. Thu Nov 5 21:25:54 2020 begin with 87112409 relations and 87127689 unique ideals
  116. Thu Nov 5 21:27:12 2020 reduce to 86561431 relations and 80555528 ideals in 8 passes
  117. Thu Nov 5 21:27:12 2020 max relations containing the same ideal: 125
  118. Thu Nov 5 21:28:07 2020 removing 8078201 relations and 6078201 ideals in 2000000 cliques
  119. Thu Nov 5 21:28:10 2020 commencing in-memory singleton removal
  120. Thu Nov 5 21:28:19 2020 begin with 78483230 relations and 80555528 unique ideals
  121. Thu Nov 5 21:29:37 2020 reduce to 77866822 relations and 73848794 ideals in 9 passes
  122. Thu Nov 5 21:29:37 2020 max relations containing the same ideal: 116
  123. Thu Nov 5 21:30:27 2020 removing 8179254 relations and 6179254 ideals in 2000000 cliques
  124. Thu Nov 5 21:30:30 2020 commencing in-memory singleton removal
  125. Thu Nov 5 21:30:38 2020 begin with 69687568 relations and 73848794 unique ideals
  126. Thu Nov 5 21:31:47 2020 reduce to 68975828 relations and 66942288 ideals in 9 passes
  127. Thu Nov 5 21:31:47 2020 max relations containing the same ideal: 113
  128. Thu Nov 5 21:32:34 2020 removing 4144711 relations and 3318907 ideals in 825804 cliques
  129. Thu Nov 5 21:32:36 2020 commencing in-memory singleton removal
  130. Thu Nov 5 21:32:44 2020 begin with 64831117 relations and 66942288 unique ideals
  131. Thu Nov 5 21:33:41 2020 reduce to 64643685 relations and 63434046 ideals in 8 passes
  132. Thu Nov 5 21:33:41 2020 max relations containing the same ideal: 110
  133. Thu Nov 5 21:34:35 2020 relations with 0 large ideals: 38488
  134. Thu Nov 5 21:34:35 2020 relations with 1 large ideals: 11073
  135. Thu Nov 5 21:34:35 2020 relations with 2 large ideals: 167139
  136. Thu Nov 5 21:34:35 2020 relations with 3 large ideals: 1205927
  137. Thu Nov 5 21:34:35 2020 relations with 4 large ideals: 4773736
  138. Thu Nov 5 21:34:35 2020 relations with 5 large ideals: 11331361
  139. Thu Nov 5 21:34:35 2020 relations with 6 large ideals: 16798709
  140. Thu Nov 5 21:34:35 2020 relations with 7+ large ideals: 30317252
  141. Thu Nov 5 21:34:35 2020 commencing 2-way merge
  142. Thu Nov 5 21:35:31 2020 reduce to 40117276 relation sets and 38907637 unique ideals
  143. Thu Nov 5 21:35:31 2020 commencing full merge
  144. Thu Nov 5 21:52:06 2020 memory use: 5057.3 MB
  145. Thu Nov 5 21:52:10 2020 found 18480911 cycles, need 18381837
  146. Thu Nov 5 21:52:17 2020 weight of 18381837 cycles is about 2022063190 (110.00/cycle)
  147. Thu Nov 5 21:52:17 2020 distribution of cycle lengths:
  148. Thu Nov 5 21:52:17 2020 1 relations: 1503769
  149. Thu Nov 5 21:52:17 2020 2 relations: 1449387
  150. Thu Nov 5 21:52:17 2020 3 relations: 1448514
  151. Thu Nov 5 21:52:17 2020 4 relations: 1405891
  152. Thu Nov 5 21:52:17 2020 5 relations: 1375157
  153. Thu Nov 5 21:52:17 2020 6 relations: 1333072
  154. Thu Nov 5 21:52:17 2020 7 relations: 1271596
  155. Thu Nov 5 21:52:17 2020 8 relations: 1206210
  156. Thu Nov 5 21:52:17 2020 9 relations: 1115153
  157. Thu Nov 5 21:52:17 2020 10+ relations: 6273088
  158. Thu Nov 5 21:52:17 2020 heaviest cycle: 28 relations
  159. Thu Nov 5 21:52:23 2020 commencing cycle optimization
  160. Thu Nov 5 21:53:00 2020 start with 145530921 relations
  161. Thu Nov 5 21:58:11 2020 pruned 5371487 relations
  162. Thu Nov 5 21:58:11 2020 memory use: 4144.8 MB
  163. Thu Nov 5 21:58:12 2020 distribution of cycle lengths:
  164. Thu Nov 5 21:58:12 2020 1 relations: 1503769
  165. Thu Nov 5 21:58:12 2020 2 relations: 1480626
  166. Thu Nov 5 21:58:12 2020 3 relations: 1500603
  167. Thu Nov 5 21:58:12 2020 4 relations: 1453386
  168. Thu Nov 5 21:58:12 2020 5 relations: 1430180
  169. Thu Nov 5 21:58:12 2020 6 relations: 1382421
  170. Thu Nov 5 21:58:12 2020 7 relations: 1322179
  171. Thu Nov 5 21:58:12 2020 8 relations: 1246416
  172. Thu Nov 5 21:58:12 2020 9 relations: 1149800
  173. Thu Nov 5 21:58:12 2020 10+ relations: 5912457
  174. Thu Nov 5 21:58:12 2020 heaviest cycle: 28 relations
  175. Thu Nov 5 21:58:54 2020 RelProcTime: 12437
  176. Thu Nov 5 21:58:54 2020 elapsed time 03:27:19
  177. Thu Nov 5 22:01:20 2020
  178. Thu Nov 5 22:01:20 2020
  179. Thu Nov 5 22:01:20 2020 Msieve v. 1.54 (SVN 1028)
  180. Thu Nov 5 22:01:20 2020 random seeds: 973b9182 5b1a020b
  181. Thu Nov 5 22:01:20 2020 factoring 3339091209876304868223507042738464541169675059703221021138354474809617124164392284930943048735275519233752674328191141550682794451937099501781930817896939549837732767855865762522035141285939331506795809950951639695136117130483 (226 digits)
  182. Thu Nov 5 22:01:21 2020 no P-1/P+1/ECM available, skipping
  183. Thu Nov 5 22:01:21 2020 commencing number field sieve (226-digit input)
  184. Thu Nov 5 22:01:21 2020 R0: 44601490397061246283071436545296723011960832
  185. Thu Nov 5 22:01:21 2020 R1: -1
  186. Thu Nov 5 22:01:21 2020 A0: -1
  187. Thu Nov 5 22:01:21 2020 A1: 0
  188. Thu Nov 5 22:01:21 2020 A2: 0
  189. Thu Nov 5 22:01:21 2020 A3: 0
  190. Thu Nov 5 22:01:21 2020 A4: 0
  191. Thu Nov 5 22:01:21 2020 A5: 0
  192. Thu Nov 5 22:01:21 2020 A6: 104
  193. Thu Nov 5 22:01:21 2020 skew 0.47, size 4.738e-13, alpha 1.288, combined = 6.632e-14 rroots = 2
  194. Thu Nov 5 22:01:21 2020
  195. Thu Nov 5 22:01:21 2020 commencing linear algebra
  196. Thu Nov 5 22:01:23 2020 read 18381837 cycles
  197. Thu Nov 5 22:02:05 2020 cycles contain 63860123 unique relations
  198. Thu Nov 5 22:08:39 2020 read 63860123 relations
  199. Thu Nov 5 22:10:42 2020 using 20 quadratic characters above 4294917295
  200. Thu Nov 5 22:16:14 2020 building initial matrix
  201. Thu Nov 5 22:28:23 2020 memory use: 8003.8 MB
  202. Thu Nov 5 22:28:33 2020 read 18381837 cycles
  203. Thu Nov 5 22:28:35 2020 matrix is 18381660 x 18381837 (7978.9 MB) with weight 2291980659 (124.69/col)
  204. Thu Nov 5 22:28:35 2020 sparse part has weight 1907791105 (103.79/col)
  205. Thu Nov 5 22:34:46 2020 filtering completed in 2 passes
  206. Thu Nov 5 22:34:50 2020 matrix is 18380329 x 18380504 (7978.7 MB) with weight 2291936596 (124.69/col)
  207. Thu Nov 5 22:34:50 2020 sparse part has weight 1907776139 (103.79/col)
  208. Thu Nov 5 22:36:11 2020 matrix starts at (0, 0)
  209. Thu Nov 5 22:36:13 2020 matrix is 18380329 x 18380504 (7978.7 MB) with weight 2291936596 (124.69/col)
  210. Thu Nov 5 22:36:13 2020 sparse part has weight 1907776139 (103.79/col)
  211. Thu Nov 5 22:36:13 2020 saving the first 112 matrix rows for later
  212. Thu Nov 5 22:36:16 2020 matrix includes 128 packed rows
  213. Thu Nov 5 22:36:21 2020 matrix is 18380217 x 18380504 (7493.4 MB) with weight 1831178427 (99.63/col)
  214. Thu Nov 5 22:36:21 2020 sparse part has weight 1743774848 (94.87/col)
  215. Thu Nov 5 22:36:21 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  216. Thu Nov 5 22:37:31 2020 commencing Lanczos iteration (10 threads)
  217. Thu Nov 5 22:37:31 2020 memory use: 8421.8 MB
  218. Thu Nov 5 22:38:11 2020 linear algebra at 0.0%, ETA 120h21m
  219. Thu Nov 5 22:38:23 2020 checkpointing every 160000 dimensions
  220. Tue Nov 10 14:57:33 2020 lanczos halted after 144460 iterations (dim = 18380212)
  221. Tue Nov 10 14:58:13 2020 recovered 35 nontrivial dependencies
  222. Tue Nov 10 14:58:14 2020 BLanczosTime: 406613
  223. Tue Nov 10 14:58:14 2020
  224. Tue Nov 10 14:58:14 2020 commencing square root phase
  225. Tue Nov 10 14:58:14 2020 reading relations for dependency 1
  226. Tue Nov 10 14:58:16 2020 read 9188702 cycles
  227. Tue Nov 10 14:58:36 2020 cycles contain 31924388 unique relations
  228. Tue Nov 10 15:03:09 2020 read 31924388 relations
  229. Tue Nov 10 15:06:34 2020 multiplying 31924388 relations
  230. Tue Nov 10 15:58:47 2020 multiply complete, coefficients have about 1025.10 million bits
  231. Tue Nov 10 15:58:52 2020 initial square root is modulo 1572888763
  232. Tue Nov 10 16:55:41 2020 sqrtTime: 7047
  233. Tue Nov 10 16:55:41 2020 p91 factor: 1264197058378758747278443083127972624527445420617298860114673757412081889080676460471691167
  234. Tue Nov 10 16:55:41 2020 p136 factor: 2641274307471058139661508183510721736349216346991920991864866640353539874057702394176616387549301934317269999288637509439861345230139949
  235. Tue Nov 10 16:55:41 2020 elapsed time 114:54:21
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