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246__073_17m1

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Sep 27th, 2020
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  1. Fri Sep 25 15:01:50 2020
  2. Fri Sep 25 15:01:50 2020
  3. Fri Sep 25 15:01:50 2020 Msieve v. 1.54 (SVN 1025)
  4. Fri Sep 25 15:01:50 2020 random seeds: 0d7b91e8 dbb95c1e
  5. Fri Sep 25 15:01:50 2020 factoring 834419684094028448725225103361415678760447179290429446391952710449465310962733153521470403236073228311678344340314173909745464790196038912455704711683019598028943747 (165 digits)
  6. Fri Sep 25 15:01:50 2020 searching for 15-digit factors
  7. Fri Sep 25 15:01:51 2020 commencing number field sieve (165-digit input)
  8. Fri Sep 25 15:01:51 2020 R0: -68049420665720086521360636472064
  9. Fri Sep 25 15:01:51 2020 R1: 2410859237728427
  10. Fri Sep 25 15:01:51 2020 A0: -755847397311243300688625193113231030951
  11. Fri Sep 25 15:01:51 2020 A1: -563700278992544023510869386600352
  12. Fri Sep 25 15:01:51 2020 A2: -241519367966299522011595149
  13. Fri Sep 25 15:01:51 2020 A3: -137385913951729214192
  14. Fri Sep 25 15:01:51 2020 A4: 13716622479300
  15. Fri Sep 25 15:01:51 2020 A5: 571824
  16. Fri Sep 25 15:01:51 2020 skew 6698763.49, size 3.858e-16, alpha -6.765, combined = 6.393e-13 rroots = 3
  17. Fri Sep 25 15:01:51 2020
  18. Fri Sep 25 15:01:51 2020 commencing relation filtering
  19. Fri Sep 25 15:01:51 2020 setting target matrix density to 120.0
  20. Fri Sep 25 15:01:51 2020 estimated available RAM is 16007.4 MB
  21. Fri Sep 25 15:01:51 2020 commencing duplicate removal, pass 1
  22. Fri Sep 25 15:05:18 2020 error -15 reading relation 22278613
  23. Fri Sep 25 15:05:19 2020 error -15 reading relation 22332271
  24. Fri Sep 25 15:17:08 2020 found 4250708 hash collisions in 98501961 relations
  25. Fri Sep 25 15:17:41 2020 added 121597 free relations
  26. Fri Sep 25 15:17:41 2020 commencing duplicate removal, pass 2
  27. Fri Sep 25 15:18:14 2020 found 1 duplicates and 98623557 unique relations
  28. Fri Sep 25 15:18:14 2020 memory use: 261.2 MB
  29. Fri Sep 25 15:18:14 2020 reading ideals above 75169792
  30. Fri Sep 25 15:18:14 2020 commencing singleton removal, initial pass
  31. Fri Sep 25 15:30:01 2020 memory use: 2756.0 MB
  32. Fri Sep 25 15:30:01 2020 reading all ideals from disk
  33. Fri Sep 25 15:30:02 2020 memory use: 1910.5 MB
  34. Fri Sep 25 15:30:08 2020 commencing in-memory singleton removal
  35. Fri Sep 25 15:30:12 2020 begin with 98623557 relations and 83608558 unique ideals
  36. Fri Sep 25 15:31:09 2020 reduce to 66080527 relations and 47993957 ideals in 13 passes
  37. Fri Sep 25 15:31:09 2020 max relations containing the same ideal: 43
  38. Fri Sep 25 15:31:14 2020 reading ideals above 720000
  39. Fri Sep 25 15:31:14 2020 commencing singleton removal, initial pass
  40. Fri Sep 25 15:41:23 2020 memory use: 1506.0 MB
  41. Fri Sep 25 15:41:23 2020 reading all ideals from disk
  42. Fri Sep 25 15:41:27 2020 memory use: 2527.5 MB
  43. Fri Sep 25 15:41:35 2020 keeping 56461686 ideals with weight <= 200, target excess is 338204
  44. Fri Sep 25 15:41:44 2020 commencing in-memory singleton removal
  45. Fri Sep 25 15:41:52 2020 begin with 66080527 relations and 56461686 unique ideals
  46. Fri Sep 25 15:42:46 2020 reduce to 66072576 relations and 56453735 ideals in 7 passes
  47. Fri Sep 25 15:42:46 2020 max relations containing the same ideal: 200
  48. Fri Sep 25 15:43:23 2020 removing 5569922 relations and 4569922 ideals in 1000000 cliques
  49. Fri Sep 25 15:43:25 2020 commencing in-memory singleton removal
  50. Fri Sep 25 15:43:31 2020 begin with 60502654 relations and 56453735 unique ideals
  51. Fri Sep 25 15:44:19 2020 reduce to 60127111 relations and 51500845 ideals in 8 passes
  52. Fri Sep 25 15:44:19 2020 max relations containing the same ideal: 197
  53. Fri Sep 25 15:44:45 2020 removing 4306026 relations and 3306026 ideals in 1000000 cliques
  54. Fri Sep 25 15:44:46 2020 commencing in-memory singleton removal
  55. Fri Sep 25 15:44:50 2020 begin with 55821085 relations and 51500845 unique ideals
  56. Fri Sep 25 15:45:25 2020 reduce to 55561826 relations and 47931130 ideals in 7 passes
  57. Fri Sep 25 15:45:25 2020 max relations containing the same ideal: 187
  58. Fri Sep 25 15:45:52 2020 removing 3938686 relations and 2938686 ideals in 1000000 cliques
  59. Fri Sep 25 15:45:54 2020 commencing in-memory singleton removal
  60. Fri Sep 25 15:46:00 2020 begin with 51623140 relations and 47931130 unique ideals
  61. Fri Sep 25 15:46:35 2020 reduce to 51388849 relations and 44754167 ideals in 7 passes
  62. Fri Sep 25 15:46:35 2020 max relations containing the same ideal: 181
  63. Fri Sep 25 15:47:02 2020 removing 3760799 relations and 2760799 ideals in 1000000 cliques
  64. Fri Sep 25 15:47:04 2020 commencing in-memory singleton removal
  65. Fri Sep 25 15:47:09 2020 begin with 47628050 relations and 44754167 unique ideals
  66. Fri Sep 25 15:47:44 2020 reduce to 47400611 relations and 41761875 ideals in 7 passes
  67. Fri Sep 25 15:47:44 2020 max relations containing the same ideal: 171
  68. Fri Sep 25 15:48:09 2020 removing 3664958 relations and 2664958 ideals in 1000000 cliques
  69. Fri Sep 25 15:48:11 2020 commencing in-memory singleton removal
  70. Fri Sep 25 15:48:15 2020 begin with 43735653 relations and 41761875 unique ideals
  71. Fri Sep 25 15:48:50 2020 reduce to 43503921 relations and 38860785 ideals in 8 passes
  72. Fri Sep 25 15:48:50 2020 max relations containing the same ideal: 159
  73. Fri Sep 25 15:49:12 2020 removing 3611987 relations and 2611987 ideals in 1000000 cliques
  74. Fri Sep 25 15:49:14 2020 commencing in-memory singleton removal
  75. Fri Sep 25 15:49:17 2020 begin with 39891934 relations and 38860785 unique ideals
  76. Fri Sep 25 15:49:45 2020 reduce to 39649153 relations and 36001178 ideals in 7 passes
  77. Fri Sep 25 15:49:45 2020 max relations containing the same ideal: 150
  78. Fri Sep 25 15:50:06 2020 removing 3591299 relations and 2591299 ideals in 1000000 cliques
  79. Fri Sep 25 15:50:08 2020 commencing in-memory singleton removal
  80. Fri Sep 25 15:50:11 2020 begin with 36057854 relations and 36001178 unique ideals
  81. Fri Sep 25 15:50:42 2020 reduce to 35796691 relations and 33143042 ideals in 9 passes
  82. Fri Sep 25 15:50:42 2020 max relations containing the same ideal: 141
  83. Fri Sep 25 15:51:01 2020 removing 3591612 relations and 2591612 ideals in 1000000 cliques
  84. Fri Sep 25 15:51:03 2020 commencing in-memory singleton removal
  85. Fri Sep 25 15:51:06 2020 begin with 32205079 relations and 33143042 unique ideals
  86. Fri Sep 25 15:51:26 2020 reduce to 31918446 relations and 30257860 ideals in 8 passes
  87. Fri Sep 25 15:51:26 2020 max relations containing the same ideal: 132
  88. Fri Sep 25 15:51:39 2020 removing 3615452 relations and 2615452 ideals in 1000000 cliques
  89. Fri Sep 25 15:51:40 2020 commencing in-memory singleton removal
  90. Fri Sep 25 15:51:42 2020 begin with 28302994 relations and 30257860 unique ideals
  91. Fri Sep 25 15:52:01 2020 reduce to 27978431 relations and 27309128 ideals in 8 passes
  92. Fri Sep 25 15:52:01 2020 max relations containing the same ideal: 124
  93. Fri Sep 25 15:52:16 2020 removing 1314624 relations and 1037638 ideals in 276986 cliques
  94. Fri Sep 25 15:52:17 2020 commencing in-memory singleton removal
  95. Fri Sep 25 15:52:19 2020 begin with 26663807 relations and 27309128 unique ideals
  96. Fri Sep 25 15:52:37 2020 reduce to 26619776 relations and 26227053 ideals in 7 passes
  97. Fri Sep 25 15:52:37 2020 max relations containing the same ideal: 118
  98. Fri Sep 25 15:52:57 2020 relations with 0 large ideals: 1195
  99. Fri Sep 25 15:52:57 2020 relations with 1 large ideals: 2083
  100. Fri Sep 25 15:52:57 2020 relations with 2 large ideals: 35578
  101. Fri Sep 25 15:52:57 2020 relations with 3 large ideals: 298869
  102. Fri Sep 25 15:52:57 2020 relations with 4 large ideals: 1369903
  103. Fri Sep 25 15:52:57 2020 relations with 5 large ideals: 3773825
  104. Fri Sep 25 15:52:57 2020 relations with 6 large ideals: 6575701
  105. Fri Sep 25 15:52:57 2020 relations with 7+ large ideals: 14562622
  106. Fri Sep 25 15:52:57 2020 commencing 2-way merge
  107. Fri Sep 25 15:53:16 2020 reduce to 17630034 relation sets and 17237311 unique ideals
  108. Fri Sep 25 15:53:16 2020 commencing full merge
  109. Fri Sep 25 16:01:43 2020 memory use: 2189.8 MB
  110. Fri Sep 25 16:01:45 2020 found 7831982 cycles, need 7825511
  111. Fri Sep 25 16:01:48 2020 weight of 7825511 cycles is about 939820565 (120.10/cycle)
  112. Fri Sep 25 16:01:48 2020 distribution of cycle lengths:
  113. Fri Sep 25 16:01:48 2020 1 relations: 362032
  114. Fri Sep 25 16:01:48 2020 2 relations: 520029
  115. Fri Sep 25 16:01:48 2020 3 relations: 585743
  116. Fri Sep 25 16:01:48 2020 4 relations: 584557
  117. Fri Sep 25 16:01:48 2020 5 relations: 586014
  118. Fri Sep 25 16:01:48 2020 6 relations: 564838
  119. Fri Sep 25 16:01:48 2020 7 relations: 548891
  120. Fri Sep 25 16:01:48 2020 8 relations: 517742
  121. Fri Sep 25 16:01:48 2020 9 relations: 488209
  122. Fri Sep 25 16:01:48 2020 10+ relations: 3067456
  123. Fri Sep 25 16:01:48 2020 heaviest cycle: 28 relations
  124. Fri Sep 25 16:01:50 2020 commencing cycle optimization
  125. Fri Sep 25 16:02:11 2020 start with 68627616 relations
  126. Fri Sep 25 16:05:24 2020 pruned 3221584 relations
  127. Fri Sep 25 16:05:24 2020 memory use: 1811.8 MB
  128. Fri Sep 25 16:05:25 2020 distribution of cycle lengths:
  129. Fri Sep 25 16:05:25 2020 1 relations: 362032
  130. Fri Sep 25 16:05:25 2020 2 relations: 534744
  131. Fri Sep 25 16:05:25 2020 3 relations: 613310
  132. Fri Sep 25 16:05:25 2020 4 relations: 610137
  133. Fri Sep 25 16:05:25 2020 5 relations: 615246
  134. Fri Sep 25 16:05:25 2020 6 relations: 591655
  135. Fri Sep 25 16:05:25 2020 7 relations: 575580
  136. Fri Sep 25 16:05:25 2020 8 relations: 541108
  137. Fri Sep 25 16:05:25 2020 9 relations: 509391
  138. Fri Sep 25 16:05:25 2020 10+ relations: 2872308
  139. Fri Sep 25 16:05:25 2020 heaviest cycle: 28 relations
  140. Fri Sep 25 16:05:43 2020 RelProcTime: 3832
  141. Fri Sep 25 16:05:43 2020
  142. Fri Sep 25 16:05:43 2020 commencing linear algebra
  143. Fri Sep 25 16:05:48 2020 read 7825511 cycles
  144. Fri Sep 25 16:06:08 2020 cycles contain 26406477 unique relations
  145. Fri Sep 25 16:09:11 2020 read 26406477 relations
  146. Fri Sep 25 16:10:15 2020 using 20 quadratic characters above 4294917295
  147. Fri Sep 25 16:12:24 2020 building initial matrix
  148. Fri Sep 25 16:18:57 2020 memory use: 3605.9 MB
  149. Fri Sep 25 16:19:03 2020 read 7825511 cycles
  150. Fri Sep 25 16:19:05 2020 matrix is 7825333 x 7825511 (3691.3 MB) with weight 1123575596 (143.58/col)
  151. Fri Sep 25 16:19:05 2020 sparse part has weight 873757126 (111.65/col)
  152. Fri Sep 25 16:21:09 2020 filtering completed in 2 passes
  153. Fri Sep 25 16:21:11 2020 matrix is 7825266 x 7825444 (3691.3 MB) with weight 1123572984 (143.58/col)
  154. Fri Sep 25 16:21:11 2020 sparse part has weight 873756666 (111.66/col)
  155. Fri Sep 25 16:21:37 2020 matrix starts at (0, 0)
  156. Fri Sep 25 16:21:39 2020 matrix is 7825266 x 7825444 (3691.3 MB) with weight 1123572984 (143.58/col)
  157. Fri Sep 25 16:21:39 2020 sparse part has weight 873756666 (111.66/col)
  158. Fri Sep 25 16:21:39 2020 saving the first 48 matrix rows for later
  159. Fri Sep 25 16:21:41 2020 matrix includes 64 packed rows
  160. Fri Sep 25 16:21:42 2020 matrix is 7825218 x 7825444 (3589.1 MB) with weight 962947066 (123.05/col)
  161. Fri Sep 25 16:21:42 2020 sparse part has weight 862618309 (110.23/col)
  162. Fri Sep 25 16:21:42 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  163. Fri Sep 25 16:22:18 2020 commencing Lanczos iteration (4 threads)
  164. Fri Sep 25 16:22:18 2020 memory use: 3360.6 MB
  165. Fri Sep 25 16:23:26 2020 linear algebra at 0.0%, ETA 92h52m
  166. Fri Sep 25 16:23:47 2020 checkpointing every 90000 dimensions
  167. Fri Sep 25 16:29:04 2020 lanczos halted after 154 iterations (dim = 9745)
  168. Fri Sep 25 16:29:04 2020 BLanczosTime: 1401
  169. Fri Sep 25 16:29:04 2020
  170. Fri Sep 25 16:29:04 2020 commencing square root phase
  171. Fri Sep 25 16:29:04 2020 handling dependencies 1 to 64
  172. Fri Sep 25 16:29:04 2020 reading relations for dependency 1
  173. Fri Sep 25 16:29:04 2020 error: read_cycles can't open dependency file
  174. Fri Sep 25 17:43:06 2020
  175. Fri Sep 25 17:43:06 2020
  176. Fri Sep 25 17:43:06 2020 Msieve v. 1.54 (SVN 1025)
  177. Fri Sep 25 17:43:06 2020 random seeds: 965854b1 706c5706
  178. Fri Sep 25 17:43:06 2020 factoring 834419684094028448725225103361415678760447179290429446391952710449465310962733153521470403236073228311678344340314173909745464790196038912455704711683019598028943747 (165 digits)
  179. Fri Sep 25 17:43:07 2020 searching for 15-digit factors
  180. Fri Sep 25 17:43:07 2020 commencing number field sieve (165-digit input)
  181. Fri Sep 25 17:43:07 2020 R0: -68049420665720086521360636472064
  182. Fri Sep 25 17:43:07 2020 R1: 2410859237728427
  183. Fri Sep 25 17:43:07 2020 A0: -755847397311243300688625193113231030951
  184. Fri Sep 25 17:43:07 2020 A1: -563700278992544023510869386600352
  185. Fri Sep 25 17:43:07 2020 A2: -241519367966299522011595149
  186. Fri Sep 25 17:43:07 2020 A3: -137385913951729214192
  187. Fri Sep 25 17:43:07 2020 A4: 13716622479300
  188. Fri Sep 25 17:43:07 2020 A5: 571824
  189. Fri Sep 25 17:43:07 2020 skew 6698763.49, size 3.858e-16, alpha -6.765, combined = 6.393e-13 rroots = 3
  190. Fri Sep 25 17:43:07 2020
  191. Fri Sep 25 17:43:07 2020 commencing linear algebra
  192. Fri Sep 25 17:43:07 2020 skipping matrix build
  193. Fri Sep 25 17:43:09 2020 matrix starts at (0, 0)
  194. Fri Sep 25 17:43:11 2020 matrix is 7825266 x 7825444 (3691.3 MB) with weight 1123572984 (143.58/col)
  195. Fri Sep 25 17:43:11 2020 sparse part has weight 873756666 (111.66/col)
  196. Fri Sep 25 17:43:11 2020 saving the first 48 matrix rows for later
  197. Fri Sep 25 17:43:12 2020 matrix includes 64 packed rows
  198. Fri Sep 25 17:43:13 2020 matrix is 7825218 x 7825444 (3589.1 MB) with weight 962947066 (123.05/col)
  199. Fri Sep 25 17:43:13 2020 sparse part has weight 862618309 (110.23/col)
  200. Fri Sep 25 17:43:13 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  201. Fri Sep 25 17:43:41 2020 commencing Lanczos iteration (4 threads)
  202. Fri Sep 25 17:43:41 2020 memory use: 3360.6 MB
  203. Fri Sep 25 17:44:26 2020 linear algebra at 0.0%, ETA 61h24m
  204. Fri Sep 25 17:44:38 2020 checkpointing every 140000 dimensions
  205. Sun Sep 27 18:47:28 2020 lanczos halted after 123746 iterations (dim = 7825216)
  206. Sun Sep 27 18:47:35 2020 recovered 29 nontrivial dependencies
  207. Sun Sep 27 18:47:35 2020 BLanczosTime: 176668
  208. Sun Sep 27 18:47:35 2020
  209. Sun Sep 27 18:47:35 2020 commencing square root phase
  210. Sun Sep 27 18:47:35 2020 handling dependencies 1 to 64
  211. Sun Sep 27 18:47:35 2020 reading relations for dependency 1
  212. Sun Sep 27 18:47:36 2020 read 3912132 cycles
  213. Sun Sep 27 18:47:43 2020 cycles contain 13199362 unique relations
  214. Sun Sep 27 18:48:53 2020 read 13199362 relations
  215. Sun Sep 27 18:49:39 2020 multiplying 13199362 relations
  216. Sun Sep 27 19:02:41 2020 multiply complete, coefficients have about 745.34 million bits
  217. Sun Sep 27 19:02:45 2020 initial square root is modulo 4861907
  218. Sun Sep 27 19:17:52 2020 sqrtTime: 1817
  219. Sun Sep 27 19:17:52 2020 p73 factor: 7391991008950338754079586262172508380438151739646063316623757701467662503
  220. Sun Sep 27 19:17:52 2020 p93 factor: 112881588070615886355211176989483907803099288226841889397817489750938254043234352700170743749
  221. Sun Sep 27 19:17:52 2020 elapsed time 49:34:46
  222.  
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