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6p5_338

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Mar 5th, 2019
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  1. Sun Mar 3 19:54:46 2019
  2. Sun Mar 3 19:54:46 2019
  3. Sun Mar 3 19:54:46 2019 Msieve v. 1.53 (SVN 988M)
  4. Sun Mar 3 19:54:46 2019 random seeds: 8d6cf1ec 79f39fef
  5. Sun Mar 3 19:54:46 2019 factoring 123463036266051436507386200716652794589341132855016276292745316946649403646773022985825581949819109111066880402146339080140729536425444959066467230060639716250779418580461575760944881662786799698588347169 (204 digits)
  6. Sun Mar 3 19:54:47 2019 searching for 15-digit factors
  7. Sun Mar 3 19:54:48 2019 commencing number field sieve (204-digit input)
  8. Sun Mar 3 19:54:48 2019 R0: 29100346434780756496233872879771488202161
  9. Sun Mar 3 19:54:48 2019 R1: -254186582832900000000000000000000000000
  10. Sun Mar 3 19:54:48 2019 A0: -1
  11. Sun Mar 3 19:54:48 2019 A1: -3
  12. Sun Mar 3 19:54:48 2019 A2: 6
  13. Sun Mar 3 19:54:48 2019 A3: 4
  14. Sun Mar 3 19:54:48 2019 A4: -5
  15. Sun Mar 3 19:54:48 2019 A5: -1
  16. Sun Mar 3 19:54:48 2019 A6: 1
  17. Sun Mar 3 19:54:48 2019 skew 1.00, size 6.192e-12, alpha 3.126, combined = 4.384e-13 rroots = 6
  18. Sun Mar 3 19:54:48 2019
  19. Sun Mar 3 19:54:48 2019 commencing relation filtering
  20. Sun Mar 3 19:54:48 2019 setting target matrix density to 120.0
  21. Sun Mar 3 19:54:48 2019 estimated available RAM is 32768.0 MB
  22. Sun Mar 3 19:54:48 2019 commencing duplicate removal, pass 1
  23. Sun Mar 3 20:11:10 2019 error -1 reading relation 166553794
  24. Sun Mar 3 20:11:34 2019 error -15 reading relation 170647918
  25. Sun Mar 3 20:14:25 2019 error -15 reading relation 199411973
  26. Sun Mar 3 20:14:25 2019 error -15 reading relation 199416798
  27. Sun Mar 3 20:14:36 2019 skipped 69 relations with b > 2^32
  28. Sun Mar 3 20:14:36 2019 skipped 1 relations with composite factors
  29. Sun Mar 3 20:14:36 2019 found 8869040 hash collisions in 201240813 relations
  30. Sun Mar 3 20:14:41 2019 added 2438358 free relations
  31. Sun Mar 3 20:14:41 2019 commencing duplicate removal, pass 2
  32. Sun Mar 3 20:15:27 2019 found 0 duplicates and 203679171 unique relations
  33. Sun Mar 3 20:15:27 2019 memory use: 522.4 MB
  34. Sun Mar 3 20:15:27 2019 reading ideals above 149880832
  35. Sun Mar 3 20:15:27 2019 commencing singleton removal, initial pass
  36. Sun Mar 3 20:29:57 2019 memory use: 3012.0 MB
  37. Sun Mar 3 20:29:57 2019 reading all ideals from disk
  38. Sun Mar 3 20:29:59 2019 memory use: 3424.4 MB
  39. Sun Mar 3 20:30:06 2019 commencing in-memory singleton removal
  40. Sun Mar 3 20:30:12 2019 begin with 203679171 relations and 160549252 unique ideals
  41. Sun Mar 3 20:31:36 2019 reduce to 138742020 relations and 89456096 ideals in 14 passes
  42. Sun Mar 3 20:31:36 2019 max relations containing the same ideal: 42
  43. Sun Mar 3 20:31:46 2019 reading ideals above 720000
  44. Sun Mar 3 20:31:46 2019 commencing singleton removal, initial pass
  45. Sun Mar 3 20:45:18 2019 memory use: 2756.0 MB
  46. Sun Mar 3 20:45:18 2019 reading all ideals from disk
  47. Sun Mar 3 20:45:22 2019 memory use: 5412.1 MB
  48. Sun Mar 3 20:45:33 2019 keeping 105628685 ideals with weight <= 200, target excess is 703253
  49. Sun Mar 3 20:45:46 2019 commencing in-memory singleton removal
  50. Sun Mar 3 20:45:55 2019 begin with 138742020 relations and 105628685 unique ideals
  51. Sun Mar 3 20:46:36 2019 reduce to 138741745 relations and 105628410 ideals in 4 passes
  52. Sun Mar 3 20:46:36 2019 max relations containing the same ideal: 200
  53. Sun Mar 3 20:47:27 2019 removing 10136871 relations and 8136872 ideals in 2000000 cliques
  54. Sun Mar 3 20:47:30 2019 commencing in-memory singleton removal
  55. Sun Mar 3 20:47:39 2019 begin with 128604874 relations and 105628410 unique ideals
  56. Sun Mar 3 20:48:46 2019 reduce to 128059215 relations and 96935792 ideals in 7 passes
  57. Sun Mar 3 20:48:46 2019 max relations containing the same ideal: 199
  58. Sun Mar 3 20:49:33 2019 removing 7707096 relations and 5707096 ideals in 2000000 cliques
  59. Sun Mar 3 20:49:36 2019 commencing in-memory singleton removal
  60. Sun Mar 3 20:49:44 2019 begin with 120352119 relations and 96935792 unique ideals
  61. Sun Mar 3 20:50:46 2019 reduce to 119988190 relations and 90858867 ideals in 7 passes
  62. Sun Mar 3 20:50:46 2019 max relations containing the same ideal: 191
  63. Sun Mar 3 20:51:30 2019 removing 7001747 relations and 5001747 ideals in 2000000 cliques
  64. Sun Mar 3 20:51:33 2019 commencing in-memory singleton removal
  65. Sun Mar 3 20:51:40 2019 begin with 112986443 relations and 90858867 unique ideals
  66. Sun Mar 3 20:52:38 2019 reduce to 112670497 relations and 85536195 ideals in 7 passes
  67. Sun Mar 3 20:52:38 2019 max relations containing the same ideal: 185
  68. Sun Mar 3 20:53:19 2019 removing 6633083 relations and 4633083 ideals in 2000000 cliques
  69. Sun Mar 3 20:53:22 2019 commencing in-memory singleton removal
  70. Sun Mar 3 20:53:29 2019 begin with 106037414 relations and 85536195 unique ideals
  71. Sun Mar 3 20:54:23 2019 reduce to 105744006 relations and 80604951 ideals in 7 passes
  72. Sun Mar 3 20:54:23 2019 max relations containing the same ideal: 178
  73. Sun Mar 3 20:55:02 2019 removing 6398075 relations and 4398075 ideals in 2000000 cliques
  74. Sun Mar 3 20:55:04 2019 commencing in-memory singleton removal
  75. Sun Mar 3 20:55:11 2019 begin with 99345931 relations and 80604951 unique ideals
  76. Sun Mar 3 20:55:54 2019 reduce to 99065961 relations and 75922093 ideals in 6 passes
  77. Sun Mar 3 20:55:54 2019 max relations containing the same ideal: 173
  78. Sun Mar 3 20:56:31 2019 removing 6237019 relations and 4237019 ideals in 2000000 cliques
  79. Sun Mar 3 20:56:33 2019 commencing in-memory singleton removal
  80. Sun Mar 3 20:56:40 2019 begin with 92828942 relations and 75922093 unique ideals
  81. Sun Mar 3 20:57:20 2019 reduce to 92553559 relations and 71404790 ideals in 6 passes
  82. Sun Mar 3 20:57:20 2019 max relations containing the same ideal: 164
  83. Sun Mar 3 20:57:54 2019 removing 6120272 relations and 4120272 ideals in 2000000 cliques
  84. Sun Mar 3 20:57:57 2019 commencing in-memory singleton removal
  85. Sun Mar 3 20:58:02 2019 begin with 86433287 relations and 71404790 unique ideals
  86. Sun Mar 3 20:58:52 2019 reduce to 86157348 relations and 67003287 ideals in 8 passes
  87. Sun Mar 3 20:58:52 2019 max relations containing the same ideal: 159
  88. Sun Mar 3 20:59:24 2019 removing 6030236 relations and 4030236 ideals in 2000000 cliques
  89. Sun Mar 3 20:59:27 2019 commencing in-memory singleton removal
  90. Sun Mar 3 20:59:32 2019 begin with 80127112 relations and 67003287 unique ideals
  91. Sun Mar 3 21:00:06 2019 reduce to 79847765 relations and 62687957 ideals in 6 passes
  92. Sun Mar 3 21:00:06 2019 max relations containing the same ideal: 151
  93. Sun Mar 3 21:00:37 2019 removing 5957953 relations and 3957953 ideals in 2000000 cliques
  94. Sun Mar 3 21:00:39 2019 commencing in-memory singleton removal
  95. Sun Mar 3 21:00:44 2019 begin with 73889812 relations and 62687957 unique ideals
  96. Sun Mar 3 21:01:20 2019 reduce to 73601017 relations and 58434803 ideals in 7 passes
  97. Sun Mar 3 21:01:20 2019 max relations containing the same ideal: 140
  98. Sun Mar 3 21:01:49 2019 removing 5907970 relations and 3907970 ideals in 2000000 cliques
  99. Sun Mar 3 21:01:51 2019 commencing in-memory singleton removal
  100. Sun Mar 3 21:01:55 2019 begin with 67693047 relations and 58434803 unique ideals
  101. Sun Mar 3 21:02:24 2019 reduce to 67393768 relations and 54220381 ideals in 6 passes
  102. Sun Mar 3 21:02:24 2019 max relations containing the same ideal: 132
  103. Sun Mar 3 21:02:49 2019 removing 5865644 relations and 3865644 ideals in 2000000 cliques
  104. Sun Mar 3 21:02:51 2019 commencing in-memory singleton removal
  105. Sun Mar 3 21:02:55 2019 begin with 61528124 relations and 54220381 unique ideals
  106. Sun Mar 3 21:03:25 2019 reduce to 61210461 relations and 50028936 ideals in 7 passes
  107. Sun Mar 3 21:03:25 2019 max relations containing the same ideal: 123
  108. Sun Mar 3 21:03:49 2019 removing 5835573 relations and 3835573 ideals in 2000000 cliques
  109. Sun Mar 3 21:03:51 2019 commencing in-memory singleton removal
  110. Sun Mar 3 21:03:54 2019 begin with 55374888 relations and 50028936 unique ideals
  111. Sun Mar 3 21:04:25 2019 reduce to 55035906 relations and 45844919 ideals in 8 passes
  112. Sun Mar 3 21:04:25 2019 max relations containing the same ideal: 116
  113. Sun Mar 3 21:04:46 2019 removing 5817408 relations and 3817408 ideals in 2000000 cliques
  114. Sun Mar 3 21:04:48 2019 commencing in-memory singleton removal
  115. Sun Mar 3 21:04:51 2019 begin with 49218498 relations and 45844919 unique ideals
  116. Sun Mar 3 21:05:12 2019 reduce to 48850162 relations and 41647821 ideals in 6 passes
  117. Sun Mar 3 21:05:12 2019 max relations containing the same ideal: 110
  118. Sun Mar 3 21:05:30 2019 removing 5802012 relations and 3802012 ideals in 2000000 cliques
  119. Sun Mar 3 21:05:32 2019 commencing in-memory singleton removal
  120. Sun Mar 3 21:05:35 2019 begin with 43048150 relations and 41647821 unique ideals
  121. Sun Mar 3 21:05:58 2019 reduce to 42639538 relations and 37423039 ideals in 8 passes
  122. Sun Mar 3 21:05:58 2019 max relations containing the same ideal: 98
  123. Sun Mar 3 21:06:15 2019 removing 5800874 relations and 3800874 ideals in 2000000 cliques
  124. Sun Mar 3 21:06:17 2019 commencing in-memory singleton removal
  125. Sun Mar 3 21:06:19 2019 begin with 36838664 relations and 37423039 unique ideals
  126. Sun Mar 3 21:06:37 2019 reduce to 36365036 relations and 33129645 ideals in 7 passes
  127. Sun Mar 3 21:06:37 2019 max relations containing the same ideal: 87
  128. Sun Mar 3 21:06:51 2019 removing 5824597 relations and 3824597 ideals in 2000000 cliques
  129. Sun Mar 3 21:06:52 2019 commencing in-memory singleton removal
  130. Sun Mar 3 21:06:54 2019 begin with 30540439 relations and 33129645 unique ideals
  131. Sun Mar 3 21:07:10 2019 reduce to 29948965 relations and 28686100 ideals in 8 passes
  132. Sun Mar 3 21:07:10 2019 max relations containing the same ideal: 80
  133. Sun Mar 3 21:07:22 2019 removing 1717449 relations and 1270358 ideals in 447091 cliques
  134. Sun Mar 3 21:07:23 2019 commencing in-memory singleton removal
  135. Sun Mar 3 21:07:24 2019 begin with 28231516 relations and 28686100 unique ideals
  136. Sun Mar 3 21:07:35 2019 reduce to 28150283 relations and 27333330 ideals in 6 passes
  137. Sun Mar 3 21:07:35 2019 max relations containing the same ideal: 77
  138. Sun Mar 3 21:07:49 2019 relations with 0 large ideals: 53851
  139. Sun Mar 3 21:07:49 2019 relations with 1 large ideals: 14003
  140. Sun Mar 3 21:07:49 2019 relations with 2 large ideals: 164680
  141. Sun Mar 3 21:07:49 2019 relations with 3 large ideals: 997112
  142. Sun Mar 3 21:07:49 2019 relations with 4 large ideals: 3229925
  143. Sun Mar 3 21:07:49 2019 relations with 5 large ideals: 6210539
  144. Sun Mar 3 21:07:49 2019 relations with 6 large ideals: 7427840
  145. Sun Mar 3 21:07:49 2019 relations with 7+ large ideals: 10052333
  146. Sun Mar 3 21:07:49 2019 commencing 2-way merge
  147. Sun Mar 3 21:08:04 2019 reduce to 19196509 relation sets and 18379556 unique ideals
  148. Sun Mar 3 21:08:04 2019 commencing full merge
  149. Sun Mar 3 21:15:11 2019 memory use: 2508.4 MB
  150. Sun Mar 3 21:15:15 2019 found 8631584 cycles, need 8593756
  151. Sun Mar 3 21:15:15 2019 weight of 8593756 cycles is about 1031853919 (120.07/cycle)
  152. Sun Mar 3 21:15:15 2019 distribution of cycle lengths:
  153. Sun Mar 3 21:15:15 2019 1 relations: 311222
  154. Sun Mar 3 21:15:15 2019 2 relations: 438913
  155. Sun Mar 3 21:15:15 2019 3 relations: 545752
  156. Sun Mar 3 21:15:15 2019 4 relations: 591296
  157. Sun Mar 3 21:15:15 2019 5 relations: 621542
  158. Sun Mar 3 21:15:15 2019 6 relations: 632630
  159. Sun Mar 3 21:15:15 2019 7 relations: 628257
  160. Sun Mar 3 21:15:15 2019 8 relations: 608577
  161. Sun Mar 3 21:15:15 2019 9 relations: 575291
  162. Sun Mar 3 21:15:15 2019 10+ relations: 3640276
  163. Sun Mar 3 21:15:15 2019 heaviest cycle: 28 relations
  164. Sun Mar 3 21:15:19 2019 commencing cycle optimization
  165. Sun Mar 3 21:15:39 2019 start with 79181516 relations
  166. Sun Mar 3 21:19:05 2019 pruned 4101045 relations
  167. Sun Mar 3 21:19:06 2019 memory use: 1986.9 MB
  168. Sun Mar 3 21:19:06 2019 distribution of cycle lengths:
  169. Sun Mar 3 21:19:06 2019 1 relations: 311222
  170. Sun Mar 3 21:19:06 2019 2 relations: 449498
  171. Sun Mar 3 21:19:06 2019 3 relations: 568894
  172. Sun Mar 3 21:19:06 2019 4 relations: 618092
  173. Sun Mar 3 21:19:06 2019 5 relations: 656689
  174. Sun Mar 3 21:19:06 2019 6 relations: 669338
  175. Sun Mar 3 21:19:06 2019 7 relations: 667446
  176. Sun Mar 3 21:19:06 2019 8 relations: 644445
  177. Sun Mar 3 21:19:06 2019 9 relations: 608847
  178. Sun Mar 3 21:19:06 2019 10+ relations: 3399285
  179. Sun Mar 3 21:19:06 2019 heaviest cycle: 28 relations
  180. Sun Mar 3 21:19:25 2019 RelProcTime: 5077
  181. Sun Mar 3 21:19:25 2019
  182. Sun Mar 3 21:19:25 2019 commencing linear algebra
  183. Sun Mar 3 21:19:27 2019 read 8593756 cycles
  184. Sun Mar 3 21:19:46 2019 cycles contain 27777055 unique relations
  185. Sun Mar 3 21:21:38 2019 read 27777055 relations
  186. Sun Mar 3 21:22:34 2019 using 20 quadratic characters above 4294917295
  187. Sun Mar 3 21:24:11 2019 building initial matrix
  188. Sun Mar 3 21:28:45 2019 memory use: 3406.5 MB
  189. Sun Mar 3 21:28:52 2019 read 8593756 cycles
  190. Sun Mar 3 21:28:53 2019 matrix is 8593579 x 8593756 (3980.3 MB) with weight 1125788611 (131.00/col)
  191. Sun Mar 3 21:28:53 2019 sparse part has weight 957477190 (111.42/col)
  192. Sun Mar 3 21:30:19 2019 filtering completed in 2 passes
  193. Sun Mar 3 21:30:21 2019 matrix is 8593449 x 8593626 (3980.3 MB) with weight 1125784757 (131.00/col)
  194. Sun Mar 3 21:30:21 2019 sparse part has weight 957475900 (111.42/col)
  195. Sun Mar 3 21:30:49 2019 matrix starts at (0, 0)
  196. Sun Mar 3 21:30:50 2019 matrix is 8593449 x 8593626 (3980.3 MB) with weight 1125784757 (131.00/col)
  197. Sun Mar 3 21:30:50 2019 sparse part has weight 957475900 (111.42/col)
  198. Sun Mar 3 21:30:50 2019 saving the first 48 matrix rows for later
  199. Sun Mar 3 21:30:51 2019 matrix includes 64 packed rows
  200. Sun Mar 3 21:30:52 2019 matrix is 8593401 x 8593626 (3823.8 MB) with weight 974772499 (113.43/col)
  201. Sun Mar 3 21:30:52 2019 sparse part has weight 916451167 (106.64/col)
  202. Sun Mar 3 21:30:52 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  203. Sun Mar 3 21:31:31 2019 commencing Lanczos iteration (8 threads)
  204. Sun Mar 3 21:31:31 2019 memory use: 3257.8 MB
  205. Sun Mar 3 21:31:48 2019 linear algebra at 0.0%, ETA 25h 9m
  206. Sun Mar 3 21:31:53 2019 checkpointing every 350000 dimensions
  207. Mon Mar 4 22:07:25 2019 lanczos halted after 135904 iterations (dim = 8593399)
  208. Mon Mar 4 22:07:34 2019 recovered 33 nontrivial dependencies
  209. Mon Mar 4 22:07:35 2019 BLanczosTime: 89290
  210. Mon Mar 4 22:07:35 2019
  211. Mon Mar 4 22:07:35 2019 commencing square root phase
  212. Mon Mar 4 22:07:35 2019 handling dependencies 1 to 64
  213. Mon Mar 4 22:07:35 2019 reading relations for dependency 1
  214. Mon Mar 4 22:07:37 2019 read 4296103 cycles
  215. Mon Mar 4 22:07:45 2019 cycles contain 13888476 unique relations
  216. Mon Mar 4 22:08:48 2019 read 13888476 relations
  217. Mon Mar 4 22:09:42 2019 multiplying 13888476 relations
  218. Mon Mar 4 22:16:34 2019 multiply complete, coefficients have about 344.83 million bits
  219. Mon Mar 4 22:16:36 2019 initial square root is modulo 1539649
  220. Mon Mar 4 22:23:13 2019 sqrtTime: 938
  221. Mon Mar 4 22:23:13 2019 p85 factor: 1113155060794008022088926965595626605404917045744063485071824707808008795850664477909
  222. Mon Mar 4 22:23:13 2019 p120 factor: 110912702654368620350388285276544530361867561266928260662091612202319517601365792160833286568919813899859193628559418141
  223. Mon Mar 4 22:23:13 2019 elapsed time 26:28:27
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