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7p5_302

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Dec 4th, 2020
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  1. Wed Dec 2 20:29:42 2020
  2. Wed Dec 2 20:29:42 2020 Msieve v. 1.53 (SVN 988M)
  3. Wed Dec 2 20:29:42 2020 random seeds: b9513e9d 0662726e
  4. Wed Dec 2 20:29:42 2020 factoring 8963763460616510022640971832437171486464493065191466459558835332679793928666431023126043609447538179460558045797172096159608844994367661399030548206797411330017143026017091578482202682902771519472715689 (202 digits)
  5. Wed Dec 2 20:29:42 2020 searching for 15-digit factors
  6. Wed Dec 2 20:29:43 2020 commencing number field sieve (202-digit input)
  7. Wed Dec 2 20:29:43 2020 R0: 1798465042647412146620280340569649349251249
  8. Wed Dec 2 20:29:43 2020 R1: -88817841970012523233890533447265625
  9. Wed Dec 2 20:29:43 2020 A0: 25
  10. Wed Dec 2 20:29:43 2020 A1: 0
  11. Wed Dec 2 20:29:43 2020 A2: 0
  12. Wed Dec 2 20:29:43 2020 A3: 0
  13. Wed Dec 2 20:29:43 2020 A4: 0
  14. Wed Dec 2 20:29:43 2020 A5: 0
  15. Wed Dec 2 20:29:43 2020 A6: 49
  16. Wed Dec 2 20:29:43 2020 skew 0.89, size 1.002e-12, alpha 0.618, combined = 1.191e-13 rroots = 0
  17. Wed Dec 2 20:29:43 2020
  18. Wed Dec 2 20:29:43 2020 commencing relation filtering
  19. Wed Dec 2 20:29:43 2020 setting target matrix density to 130.0
  20. Wed Dec 2 20:29:43 2020 estimated available RAM is 32768.0 MB
  21. Wed Dec 2 20:29:43 2020 commencing duplicate removal, pass 1
  22. Wed Dec 2 20:38:37 2020 error -15 reading relation 89448713
  23. Wed Dec 2 20:50:56 2020 skipped 681 relations with b > 2^32
  24. Wed Dec 2 20:50:56 2020 found 9729768 hash collisions in 211130847 relations
  25. Wed Dec 2 20:51:04 2020 commencing duplicate removal, pass 2
  26. Wed Dec 2 20:51:52 2020 found 0 duplicates and 211130847 unique relations
  27. Wed Dec 2 20:51:52 2020 memory use: 522.4 MB
  28. Wed Dec 2 20:51:52 2020 reading ideals above 169803776
  29. Wed Dec 2 20:51:52 2020 commencing singleton removal, initial pass
  30. Wed Dec 2 21:06:45 2020 memory use: 3012.0 MB
  31. Wed Dec 2 21:06:45 2020 reading all ideals from disk
  32. Wed Dec 2 21:08:09 2020 memory use: 3543.4 MB
  33. Wed Dec 2 21:08:16 2020 commencing in-memory singleton removal
  34. Wed Dec 2 21:08:22 2020 begin with 211130847 relations and 162575352 unique ideals
  35. Wed Dec 2 21:09:39 2020 reduce to 150566450 relations and 96861254 ideals in 12 passes
  36. Wed Dec 2 21:09:39 2020 max relations containing the same ideal: 40
  37. Wed Dec 2 21:09:56 2020 reading ideals above 720000
  38. Wed Dec 2 21:09:56 2020 commencing singleton removal, initial pass
  39. Wed Dec 2 21:24:40 2020 memory use: 3012.0 MB
  40. Wed Dec 2 21:24:40 2020 reading all ideals from disk
  41. Wed Dec 2 21:27:05 2020 memory use: 6136.1 MB
  42. Wed Dec 2 21:27:18 2020 keeping 115017344 ideals with weight <= 200, target excess is 823274
  43. Wed Dec 2 21:27:31 2020 commencing in-memory singleton removal
  44. Wed Dec 2 21:27:41 2020 begin with 150566450 relations and 115017344 unique ideals
  45. Wed Dec 2 21:28:48 2020 reduce to 150563235 relations and 115014128 ideals in 6 passes
  46. Wed Dec 2 21:28:48 2020 max relations containing the same ideal: 200
  47. Wed Dec 2 21:29:41 2020 removing 9902870 relations and 7902870 ideals in 2000000 cliques
  48. Wed Dec 2 21:29:44 2020 commencing in-memory singleton removal
  49. Wed Dec 2 21:29:54 2020 begin with 140660365 relations and 115014128 unique ideals
  50. Wed Dec 2 21:31:07 2020 reduce to 140185111 relations and 106628184 ideals in 7 passes
  51. Wed Dec 2 21:31:07 2020 max relations containing the same ideal: 199
  52. Wed Dec 2 21:31:56 2020 removing 7582377 relations and 5582377 ideals in 2000000 cliques
  53. Wed Dec 2 21:31:59 2020 commencing in-memory singleton removal
  54. Wed Dec 2 21:32:08 2020 begin with 132602734 relations and 106628184 unique ideals
  55. Wed Dec 2 21:33:06 2020 reduce to 132279312 relations and 100717685 ideals in 6 passes
  56. Wed Dec 2 21:33:06 2020 max relations containing the same ideal: 192
  57. Wed Dec 2 21:33:53 2020 removing 6905663 relations and 4905663 ideals in 2000000 cliques
  58. Wed Dec 2 21:33:56 2020 commencing in-memory singleton removal
  59. Wed Dec 2 21:34:04 2020 begin with 125373649 relations and 100717685 unique ideals
  60. Wed Dec 2 21:34:59 2020 reduce to 125092387 relations and 95526709 ideals in 6 passes
  61. Wed Dec 2 21:34:59 2020 max relations containing the same ideal: 187
  62. Wed Dec 2 21:35:44 2020 removing 6557912 relations and 4557912 ideals in 2000000 cliques
  63. Wed Dec 2 21:35:47 2020 commencing in-memory singleton removal
  64. Wed Dec 2 21:35:54 2020 begin with 118534475 relations and 95526709 unique ideals
  65. Wed Dec 2 21:36:55 2020 reduce to 118272857 relations and 90703293 ideals in 7 passes
  66. Wed Dec 2 21:36:55 2020 max relations containing the same ideal: 182
  67. Wed Dec 2 21:37:36 2020 removing 6339228 relations and 4339228 ideals in 2000000 cliques
  68. Wed Dec 2 21:37:39 2020 commencing in-memory singleton removal
  69. Wed Dec 2 21:37:46 2020 begin with 111933629 relations and 90703293 unique ideals
  70. Wed Dec 2 21:38:43 2020 reduce to 111684001 relations and 86110515 ideals in 7 passes
  71. Wed Dec 2 21:38:43 2020 max relations containing the same ideal: 176
  72. Wed Dec 2 21:39:23 2020 removing 6186642 relations and 4186642 ideals in 2000000 cliques
  73. Wed Dec 2 21:39:26 2020 commencing in-memory singleton removal
  74. Wed Dec 2 21:39:32 2020 begin with 105497359 relations and 86110515 unique ideals
  75. Wed Dec 2 21:40:18 2020 reduce to 105252247 relations and 81674764 ideals in 6 passes
  76. Wed Dec 2 21:40:18 2020 max relations containing the same ideal: 167
  77. Wed Dec 2 21:40:56 2020 removing 6077506 relations and 4077506 ideals in 2000000 cliques
  78. Wed Dec 2 21:40:59 2020 commencing in-memory singleton removal
  79. Wed Dec 2 21:41:05 2020 begin with 99174741 relations and 81674764 unique ideals
  80. Wed Dec 2 21:41:47 2020 reduce to 98929988 relations and 77348325 ideals in 6 passes
  81. Wed Dec 2 21:41:47 2020 max relations containing the same ideal: 161
  82. Wed Dec 2 21:42:23 2020 removing 5996418 relations and 3996418 ideals in 2000000 cliques
  83. Wed Dec 2 21:42:25 2020 commencing in-memory singleton removal
  84. Wed Dec 2 21:42:31 2020 begin with 92933570 relations and 77348325 unique ideals
  85. Wed Dec 2 21:43:11 2020 reduce to 92686902 relations and 73100875 ideals in 6 passes
  86. Wed Dec 2 21:43:11 2020 max relations containing the same ideal: 157
  87. Wed Dec 2 21:43:44 2020 removing 5933425 relations and 3933425 ideals in 2000000 cliques
  88. Wed Dec 2 21:43:47 2020 commencing in-memory singleton removal
  89. Wed Dec 2 21:43:52 2020 begin with 86753477 relations and 73100875 unique ideals
  90. Wed Dec 2 21:44:29 2020 reduce to 86501260 relations and 68910400 ideals in 6 passes
  91. Wed Dec 2 21:44:29 2020 max relations containing the same ideal: 151
  92. Wed Dec 2 21:45:00 2020 removing 5887629 relations and 3887629 ideals in 2000000 cliques
  93. Wed Dec 2 21:45:02 2020 commencing in-memory singleton removal
  94. Wed Dec 2 21:45:07 2020 begin with 80613631 relations and 68910400 unique ideals
  95. Wed Dec 2 21:45:47 2020 reduce to 80352564 relations and 64756369 ideals in 7 passes
  96. Wed Dec 2 21:45:47 2020 max relations containing the same ideal: 141
  97. Wed Dec 2 21:46:16 2020 removing 5856457 relations and 3856457 ideals in 2000000 cliques
  98. Wed Dec 2 21:46:18 2020 commencing in-memory singleton removal
  99. Wed Dec 2 21:46:23 2020 begin with 74496107 relations and 64756369 unique ideals
  100. Wed Dec 2 21:46:54 2020 reduce to 74223072 relations and 60620934 ideals in 6 passes
  101. Wed Dec 2 21:46:54 2020 max relations containing the same ideal: 133
  102. Wed Dec 2 21:47:21 2020 removing 5836786 relations and 3836786 ideals in 2000000 cliques
  103. Wed Dec 2 21:47:23 2020 commencing in-memory singleton removal
  104. Wed Dec 2 21:47:27 2020 begin with 68386286 relations and 60620934 unique ideals
  105. Wed Dec 2 21:48:00 2020 reduce to 68098705 relations and 56490072 ideals in 7 passes
  106. Wed Dec 2 21:48:00 2020 max relations containing the same ideal: 127
  107. Wed Dec 2 21:48:26 2020 removing 5823871 relations and 3823871 ideals in 2000000 cliques
  108. Wed Dec 2 21:48:28 2020 commencing in-memory singleton removal
  109. Wed Dec 2 21:48:31 2020 begin with 62274834 relations and 56490072 unique ideals
  110. Wed Dec 2 21:48:57 2020 reduce to 61967784 relations and 52351519 ideals in 6 passes
  111. Wed Dec 2 21:48:57 2020 max relations containing the same ideal: 119
  112. Wed Dec 2 21:49:20 2020 removing 5822922 relations and 3822922 ideals in 2000000 cliques
  113. Wed Dec 2 21:49:22 2020 commencing in-memory singleton removal
  114. Wed Dec 2 21:49:25 2020 begin with 56144862 relations and 52351519 unique ideals
  115. Wed Dec 2 21:49:48 2020 reduce to 55810576 relations and 48185278 ideals in 6 passes
  116. Wed Dec 2 21:49:48 2020 max relations containing the same ideal: 111
  117. Wed Dec 2 21:50:09 2020 removing 5835271 relations and 3835271 ideals in 2000000 cliques
  118. Wed Dec 2 21:50:11 2020 commencing in-memory singleton removal
  119. Wed Dec 2 21:50:14 2020 begin with 49975305 relations and 48185278 unique ideals
  120. Wed Dec 2 21:50:34 2020 reduce to 49605982 relations and 43969769 ideals in 6 passes
  121. Wed Dec 2 21:50:34 2020 max relations containing the same ideal: 102
  122. Wed Dec 2 21:50:53 2020 removing 5858426 relations and 3858426 ideals in 2000000 cliques
  123. Wed Dec 2 21:50:55 2020 commencing in-memory singleton removal
  124. Wed Dec 2 21:50:57 2020 begin with 43747556 relations and 43969769 unique ideals
  125. Wed Dec 2 21:51:20 2020 reduce to 43325598 relations and 39675027 ideals in 8 passes
  126. Wed Dec 2 21:51:20 2020 max relations containing the same ideal: 94
  127. Wed Dec 2 21:51:36 2020 removing 5907145 relations and 3907145 ideals in 2000000 cliques
  128. Wed Dec 2 21:51:38 2020 commencing in-memory singleton removal
  129. Wed Dec 2 21:51:40 2020 begin with 37418453 relations and 39675027 unique ideals
  130. Wed Dec 2 21:51:57 2020 reduce to 36912432 relations and 35242723 ideals in 7 passes
  131. Wed Dec 2 21:51:57 2020 max relations containing the same ideal: 83
  132. Wed Dec 2 21:52:11 2020 removing 2565862 relations and 1851151 ideals in 714711 cliques
  133. Wed Dec 2 21:52:12 2020 commencing in-memory singleton removal
  134. Wed Dec 2 21:52:14 2020 begin with 34346570 relations and 35242723 unique ideals
  135. Wed Dec 2 21:52:27 2020 reduce to 34218527 relations and 33261414 ideals in 6 passes
  136. Wed Dec 2 21:52:27 2020 max relations containing the same ideal: 77
  137. Wed Dec 2 21:52:44 2020 relations with 0 large ideals: 31522
  138. Wed Dec 2 21:52:44 2020 relations with 1 large ideals: 11152
  139. Wed Dec 2 21:52:44 2020 relations with 2 large ideals: 147169
  140. Wed Dec 2 21:52:44 2020 relations with 3 large ideals: 948518
  141. Wed Dec 2 21:52:44 2020 relations with 4 large ideals: 3298415
  142. Wed Dec 2 21:52:44 2020 relations with 5 large ideals: 6861585
  143. Wed Dec 2 21:52:44 2020 relations with 6 large ideals: 8984891
  144. Wed Dec 2 21:52:44 2020 relations with 7+ large ideals: 13935275
  145. Wed Dec 2 21:52:44 2020 commencing 2-way merge
  146. Wed Dec 2 21:53:02 2020 reduce to 23344324 relation sets and 22387211 unique ideals
  147. Wed Dec 2 21:53:02 2020 commencing full merge
  148. Wed Dec 2 22:01:14 2020 memory use: 3042.4 MB
  149. Wed Dec 2 22:01:19 2020 found 10441698 cycles, need 10387411
  150. Wed Dec 2 22:01:19 2020 weight of 10387411 cycles is about 1350538771 (130.02/cycle)
  151. Wed Dec 2 22:01:19 2020 distribution of cycle lengths:
  152. Wed Dec 2 22:01:19 2020 1 relations: 320528
  153. Wed Dec 2 22:01:19 2020 2 relations: 494896
  154. Wed Dec 2 22:01:19 2020 3 relations: 634793
  155. Wed Dec 2 22:01:19 2020 4 relations: 696239
  156. Wed Dec 2 22:01:19 2020 5 relations: 754435
  157. Wed Dec 2 22:01:19 2020 6 relations: 771269
  158. Wed Dec 2 22:01:19 2020 7 relations: 772720
  159. Wed Dec 2 22:01:19 2020 8 relations: 755310
  160. Wed Dec 2 22:01:19 2020 9 relations: 719591
  161. Wed Dec 2 22:01:19 2020 10+ relations: 4467630
  162. Wed Dec 2 22:01:19 2020 heaviest cycle: 28 relations
  163. Wed Dec 2 22:01:23 2020 commencing cycle optimization
  164. Wed Dec 2 22:01:47 2020 start with 96389480 relations
  165. Wed Dec 2 22:05:52 2020 pruned 5255311 relations
  166. Wed Dec 2 22:05:52 2020 memory use: 2415.8 MB
  167. Wed Dec 2 22:05:52 2020 distribution of cycle lengths:
  168. Wed Dec 2 22:05:52 2020 1 relations: 320528
  169. Wed Dec 2 22:05:52 2020 2 relations: 508397
  170. Wed Dec 2 22:05:52 2020 3 relations: 664339
  171. Wed Dec 2 22:05:52 2020 4 relations: 730749
  172. Wed Dec 2 22:05:52 2020 5 relations: 799615
  173. Wed Dec 2 22:05:52 2020 6 relations: 818740
  174. Wed Dec 2 22:05:52 2020 7 relations: 825862
  175. Wed Dec 2 22:05:52 2020 8 relations: 804473
  176. Wed Dec 2 22:05:52 2020 9 relations: 765476
  177. Wed Dec 2 22:05:52 2020 10+ relations: 4149232
  178. Wed Dec 2 22:05:52 2020 heaviest cycle: 28 relations
  179. Wed Dec 2 22:06:23 2020 RelProcTime: 5800
  180. Wed Dec 2 22:06:23 2020
  181. Wed Dec 2 22:06:23 2020 commencing linear algebra
  182. Wed Dec 2 22:06:25 2020 read 10387411 cycles
  183. Wed Dec 2 22:06:48 2020 cycles contain 33792716 unique relations
  184. Wed Dec 2 22:12:12 2020 read 33792716 relations
  185. Wed Dec 2 22:13:22 2020 using 20 quadratic characters above 4294917295
  186. Wed Dec 2 22:15:16 2020 building initial matrix
  187. Wed Dec 2 22:21:35 2020 memory use: 4475.4 MB
  188. Wed Dec 2 22:23:46 2020 read 10387411 cycles
  189. Wed Dec 2 22:23:47 2020 matrix is 10387234 x 10387411 (5213.6 MB) with weight 1488787126 (143.33/col)
  190. Wed Dec 2 22:23:47 2020 sparse part has weight 1252454499 (120.57/col)
  191. Wed Dec 2 22:25:36 2020 filtering completed in 2 passes
  192. Wed Dec 2 22:25:37 2020 matrix is 10387137 x 10387314 (5213.6 MB) with weight 1488783292 (143.33/col)
  193. Wed Dec 2 22:25:37 2020 sparse part has weight 1252452881 (120.58/col)
  194. Wed Dec 2 22:28:06 2020 matrix starts at (0, 0)
  195. Wed Dec 2 22:28:07 2020 matrix is 10387137 x 10387314 (5213.6 MB) with weight 1488783292 (143.33/col)
  196. Wed Dec 2 22:28:07 2020 sparse part has weight 1252452881 (120.58/col)
  197. Wed Dec 2 22:28:07 2020 saving the first 48 matrix rows for later
  198. Wed Dec 2 22:28:08 2020 matrix includes 64 packed rows
  199. Wed Dec 2 22:28:10 2020 matrix is 10387089 x 10387314 (4997.4 MB) with weight 1298997567 (125.06/col)
  200. Wed Dec 2 22:28:10 2020 sparse part has weight 1206165549 (116.12/col)
  201. Wed Dec 2 22:28:10 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  202. Wed Dec 2 22:29:08 2020 commencing Lanczos iteration (16 threads)
  203. Wed Dec 2 22:29:08 2020 memory use: 4261.7 MB
  204. Wed Dec 2 22:29:20 2020 linear algebra at 0.0%, ETA 20h53m
  205. Wed Dec 2 22:29:24 2020 checkpointing every 490000 dimensions
  206. Thu Dec 3 20:29:56 2020 lanczos halted after 164253 iterations (dim = 10387087)
  207. Thu Dec 3 20:30:06 2020 recovered 38 nontrivial dependencies
  208. Thu Dec 3 20:30:10 2020 BLanczosTime: 80627
  209. Thu Dec 3 20:30:10 2020
  210. Thu Dec 3 20:30:10 2020 commencing square root phase
  211. Thu Dec 3 20:30:10 2020 handling dependencies 1 to 64
  212. Thu Dec 3 20:30:10 2020 reading relations for dependency 1
  213. Thu Dec 3 20:30:20 2020 read 5193993 cycles
  214. Thu Dec 3 20:30:30 2020 cycles contain 16896590 unique relations
  215. Thu Dec 3 20:39:30 2020 read 16896590 relations
  216. Thu Dec 3 20:40:42 2020 multiplying 16896590 relations
  217. Thu Dec 3 20:51:20 2020 multiply complete, coefficients have about 531.64 million bits
  218. Thu Dec 3 20:51:21 2020 initial square root is modulo 58963
  219. Thu Dec 3 21:02:20 2020 GCD is N, no factor found
  220. Thu Dec 3 21:02:20 2020 reading relations for dependency 2
  221. Thu Dec 3 21:02:31 2020 read 5195202 cycles
  222. Thu Dec 3 21:02:42 2020 cycles contain 16898472 unique relations
  223. Thu Dec 3 21:11:41 2020 read 16898472 relations
  224. Thu Dec 3 21:12:54 2020 multiplying 16898472 relations
  225. Thu Dec 3 21:23:44 2020 multiply complete, coefficients have about 531.70 million bits
  226. Thu Dec 3 21:23:45 2020 initial square root is modulo 58963
  227. Thu Dec 3 21:34:53 2020 GCD is 1, no factor found
  228. Thu Dec 3 21:34:53 2020 reading relations for dependency 3
  229. Thu Dec 3 21:35:04 2020 read 5193266 cycles
  230. Thu Dec 3 21:35:14 2020 cycles contain 16890746 unique relations
  231. Thu Dec 3 21:44:14 2020 read 16890746 relations
  232. Thu Dec 3 21:45:26 2020 multiplying 16890746 relations
  233. Thu Dec 3 21:56:17 2020 multiply complete, coefficients have about 531.45 million bits
  234. Thu Dec 3 21:56:18 2020 initial square root is modulo 58771
  235. Thu Dec 3 22:07:23 2020 sqrtTime: 5833
  236. Thu Dec 3 22:07:23 2020 p82 factor: 2662904328553964805743785730951982862253245773503902750041322049968738541001702673
  237. Thu Dec 3 22:07:23 2020 p121 factor: 3366160535509774257081346403562279255697200313767137740835745419815053211892068808831024036007601105644084961657039552793
  238. Thu Dec 3 22:07:23 2020 elapsed time 25:37:41
  239.  
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