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Nov 8th, 2022
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  1. Tue Nov 8 11:36:00 2022
  2. Tue Nov 8 11:36:00 2022
  3. Tue Nov 8 11:36:00 2022 Msieve v. 1.54 (SVN unknown)
  4. Tue Nov 8 11:36:00 2022 random seeds: 8230a31c a78eeaad
  5. Tue Nov 8 11:36:00 2022 factoring 273134130295115873372635710875019895200519115584805061061492611209319590417627375870110326296530694221457764257195246490900635828970102382591156100209225119019 (159 digits)
  6. Tue Nov 8 11:36:01 2022 searching for 15-digit factors
  7. Tue Nov 8 11:36:01 2022 commencing number field sieve (159-digit input)
  8. Tue Nov 8 11:36:01 2022 R0: -3756828808660847786839300840695
  9. Tue Nov 8 11:36:01 2022 R1: 444561712475160793
  10. Tue Nov 8 11:36:01 2022 A0: 475624756534710782718662656773894148
  11. Tue Nov 8 11:36:01 2022 A1: 29804201410883743876457730422334
  12. Tue Nov 8 11:36:01 2022 A2: 8275249794827565058302114
  13. Tue Nov 8 11:36:01 2022 A3: -18982000098190134561
  14. Tue Nov 8 11:36:01 2022 A4: -870455867074
  15. Tue Nov 8 11:36:01 2022 A5: 364980
  16. Tue Nov 8 11:36:01 2022 skew 2791957.42, size 1.701e-15, alpha -5.818, combined = 1.554e-12 rroots = 5
  17. Tue Nov 8 11:36:01 2022
  18. Tue Nov 8 11:36:01 2022 commencing relation filtering
  19. Tue Nov 8 11:36:01 2022 setting target matrix density to 130.0
  20. Tue Nov 8 11:36:01 2022 estimated available RAM is 31302.7 MB
  21. Tue Nov 8 11:36:01 2022 commencing duplicate removal, pass 1
  22. Tue Nov 8 11:36:43 2022 error -1 reading relation 24911240
  23. Tue Nov 8 11:38:50 2022 error -9 reading relation 100517788
  24. Tue Nov 8 11:39:51 2022 skipped 6 relations with composite factors
  25. Tue Nov 8 11:39:51 2022 found 26699686 hash collisions in 136566420 relations
  26. Tue Nov 8 11:40:17 2022 added 122655 free relations
  27. Tue Nov 8 11:40:17 2022 commencing duplicate removal, pass 2
  28. Tue Nov 8 11:42:37 2022 found 25431063 duplicates and 111258012 unique relations
  29. Tue Nov 8 11:42:37 2022 memory use: 660.8 MB
  30. Tue Nov 8 11:42:37 2022 reading ideals above 720000
  31. Tue Nov 8 11:42:37 2022 commencing singleton removal, initial pass
  32. Tue Nov 8 11:48:19 2022 memory use: 2756.0 MB
  33. Tue Nov 8 11:48:19 2022 reading all ideals from disk
  34. Tue Nov 8 11:48:22 2022 memory use: 4982.9 MB
  35. Tue Nov 8 11:48:32 2022 keeping 92386543 ideals with weight <= 200, target excess is 589749
  36. Tue Nov 8 11:48:43 2022 commencing in-memory singleton removal
  37. Tue Nov 8 11:48:46 2022 begin with 111258012 relations and 92386543 unique ideals
  38. Tue Nov 8 11:48:55 2022 reduce to 80012678 relations and 58517326 ideals in 12 passes
  39. Tue Nov 8 11:48:55 2022 max relations containing the same ideal: 172
  40. Tue Nov 8 11:49:16 2022 removing 7903082 relations and 5903082 ideals in 2000000 cliques
  41. Tue Nov 8 11:49:19 2022 commencing in-memory singleton removal
  42. Tue Nov 8 11:49:21 2022 begin with 72109596 relations and 58517326 unique ideals
  43. Tue Nov 8 11:49:25 2022 reduce to 71497213 relations and 51983182 ideals in 7 passes
  44. Tue Nov 8 11:49:25 2022 max relations containing the same ideal: 160
  45. Tue Nov 8 11:49:44 2022 removing 6285451 relations and 4285451 ideals in 2000000 cliques
  46. Tue Nov 8 11:49:47 2022 commencing in-memory singleton removal
  47. Tue Nov 8 11:49:49 2022 begin with 65211762 relations and 51983182 unique ideals
  48. Tue Nov 8 11:49:52 2022 reduce to 64791391 relations and 47265540 ideals in 6 passes
  49. Tue Nov 8 11:49:52 2022 max relations containing the same ideal: 150
  50. Tue Nov 8 11:50:11 2022 removing 5861777 relations and 3861777 ideals in 2000000 cliques
  51. Tue Nov 8 11:50:13 2022 commencing in-memory singleton removal
  52. Tue Nov 8 11:50:15 2022 begin with 58929614 relations and 47265540 unique ideals
  53. Tue Nov 8 11:50:18 2022 reduce to 58560300 relations and 43024013 ideals in 6 passes
  54. Tue Nov 8 11:50:18 2022 max relations containing the same ideal: 139
  55. Tue Nov 8 11:50:34 2022 removing 5641195 relations and 3641195 ideals in 2000000 cliques
  56. Tue Nov 8 11:50:37 2022 commencing in-memory singleton removal
  57. Tue Nov 8 11:50:38 2022 begin with 52919105 relations and 43024013 unique ideals
  58. Tue Nov 8 11:50:41 2022 reduce to 52566339 relations and 39019441 ideals in 7 passes
  59. Tue Nov 8 11:50:41 2022 max relations containing the same ideal: 133
  60. Tue Nov 8 11:50:56 2022 removing 5503795 relations and 3503795 ideals in 2000000 cliques
  61. Tue Nov 8 11:50:58 2022 commencing in-memory singleton removal
  62. Tue Nov 8 11:50:59 2022 begin with 47062544 relations and 39019441 unique ideals
  63. Tue Nov 8 11:51:01 2022 reduce to 46708180 relations and 35149710 ideals in 6 passes
  64. Tue Nov 8 11:51:01 2022 max relations containing the same ideal: 123
  65. Tue Nov 8 11:51:14 2022 removing 5412744 relations and 3412744 ideals in 2000000 cliques
  66. Tue Nov 8 11:51:16 2022 commencing in-memory singleton removal
  67. Tue Nov 8 11:51:17 2022 begin with 41295436 relations and 35149710 unique ideals
  68. Tue Nov 8 11:51:19 2022 reduce to 40929439 relations and 31357456 ideals in 6 passes
  69. Tue Nov 8 11:51:19 2022 max relations containing the same ideal: 112
  70. Tue Nov 8 11:51:31 2022 removing 5355349 relations and 3355349 ideals in 2000000 cliques
  71. Tue Nov 8 11:51:33 2022 commencing in-memory singleton removal
  72. Tue Nov 8 11:51:34 2022 begin with 35574090 relations and 31357456 unique ideals
  73. Tue Nov 8 11:51:36 2022 reduce to 35179513 relations and 27591599 ideals in 7 passes
  74. Tue Nov 8 11:51:36 2022 max relations containing the same ideal: 99
  75. Tue Nov 8 11:51:47 2022 removing 5318373 relations and 3318373 ideals in 2000000 cliques
  76. Tue Nov 8 11:51:48 2022 commencing in-memory singleton removal
  77. Tue Nov 8 11:51:49 2022 begin with 29861140 relations and 27591599 unique ideals
  78. Tue Nov 8 11:51:51 2022 reduce to 29422133 relations and 23813898 ideals in 8 passes
  79. Tue Nov 8 11:51:51 2022 max relations containing the same ideal: 88
  80. Tue Nov 8 11:51:59 2022 removing 5297009 relations and 3297009 ideals in 2000000 cliques
  81. Tue Nov 8 11:52:01 2022 commencing in-memory singleton removal
  82. Tue Nov 8 11:52:01 2022 begin with 24125124 relations and 23813898 unique ideals
  83. Tue Nov 8 11:52:03 2022 reduce to 23616821 relations and 19980733 ideals in 9 passes
  84. Tue Nov 8 11:52:03 2022 max relations containing the same ideal: 79
  85. Tue Nov 8 11:52:10 2022 removing 5284207 relations and 3284207 ideals in 2000000 cliques
  86. Tue Nov 8 11:52:11 2022 commencing in-memory singleton removal
  87. Tue Nov 8 11:52:12 2022 begin with 18332614 relations and 19980733 unique ideals
  88. Tue Nov 8 11:52:13 2022 reduce to 17700701 relations and 16021341 ideals in 7 passes
  89. Tue Nov 8 11:52:13 2022 max relations containing the same ideal: 63
  90. Tue Nov 8 11:52:18 2022 removing 2936888 relations and 1941637 ideals in 995251 cliques
  91. Tue Nov 8 11:52:19 2022 commencing in-memory singleton removal
  92. Tue Nov 8 11:52:20 2022 begin with 14763813 relations and 16021341 unique ideals
  93. Tue Nov 8 11:52:20 2022 reduce to 14412543 relations and 13710651 ideals in 8 passes
  94. Tue Nov 8 11:52:20 2022 max relations containing the same ideal: 54
  95. Tue Nov 8 11:52:25 2022 removing 101638 relations and 83855 ideals in 17783 cliques
  96. Tue Nov 8 11:52:26 2022 commencing in-memory singleton removal
  97. Tue Nov 8 11:52:26 2022 begin with 14310905 relations and 13710651 unique ideals
  98. Tue Nov 8 11:52:26 2022 reduce to 14310265 relations and 13626156 ideals in 4 passes
  99. Tue Nov 8 11:52:26 2022 max relations containing the same ideal: 54
  100. Tue Nov 8 11:52:28 2022 relations with 0 large ideals: 1799
  101. Tue Nov 8 11:52:28 2022 relations with 1 large ideals: 18185
  102. Tue Nov 8 11:52:28 2022 relations with 2 large ideals: 215956
  103. Tue Nov 8 11:52:28 2022 relations with 3 large ideals: 1062099
  104. Tue Nov 8 11:52:28 2022 relations with 4 large ideals: 2686084
  105. Tue Nov 8 11:52:28 2022 relations with 5 large ideals: 3932425
  106. Tue Nov 8 11:52:28 2022 relations with 6 large ideals: 3548531
  107. Tue Nov 8 11:52:28 2022 relations with 7+ large ideals: 2845186
  108. Tue Nov 8 11:52:28 2022 commencing 2-way merge
  109. Tue Nov 8 11:52:34 2022 reduce to 9686621 relation sets and 9002512 unique ideals
  110. Tue Nov 8 11:52:34 2022 commencing full merge
  111. Tue Nov 8 11:55:38 2022 memory use: 1124.8 MB
  112. Tue Nov 8 11:55:39 2022 found 4251469 cycles, need 4204712
  113. Tue Nov 8 11:55:40 2022 weight of 4204712 cycles is about 547315499 (130.17/cycle)
  114. Tue Nov 8 11:55:40 2022 distribution of cycle lengths:
  115. Tue Nov 8 11:55:40 2022 1 relations: 89485
  116. Tue Nov 8 11:55:40 2022 2 relations: 188147
  117. Tue Nov 8 11:55:40 2022 3 relations: 251709
  118. Tue Nov 8 11:55:40 2022 4 relations: 283612
  119. Tue Nov 8 11:55:40 2022 5 relations: 309247
  120. Tue Nov 8 11:55:40 2022 6 relations: 317376
  121. Tue Nov 8 11:55:40 2022 7 relations: 320931
  122. Tue Nov 8 11:55:40 2022 8 relations: 311228
  123. Tue Nov 8 11:55:40 2022 9 relations: 294730
  124. Tue Nov 8 11:55:40 2022 10+ relations: 1838247
  125. Tue Nov 8 11:55:40 2022 heaviest cycle: 28 relations
  126. Tue Nov 8 11:55:42 2022 commencing cycle optimization
  127. Tue Nov 8 11:55:49 2022 start with 39637283 relations
  128. Tue Nov 8 11:57:11 2022 pruned 2242362 relations
  129. Tue Nov 8 11:57:11 2022 memory use: 997.1 MB
  130. Tue Nov 8 11:57:11 2022 distribution of cycle lengths:
  131. Tue Nov 8 11:57:11 2022 1 relations: 89485
  132. Tue Nov 8 11:57:11 2022 2 relations: 194211
  133. Tue Nov 8 11:57:11 2022 3 relations: 264770
  134. Tue Nov 8 11:57:11 2022 4 relations: 299266
  135. Tue Nov 8 11:57:11 2022 5 relations: 329904
  136. Tue Nov 8 11:57:11 2022 6 relations: 339179
  137. Tue Nov 8 11:57:11 2022 7 relations: 344293
  138. Tue Nov 8 11:57:11 2022 8 relations: 332678
  139. Tue Nov 8 11:57:11 2022 9 relations: 313857
  140. Tue Nov 8 11:57:11 2022 10+ relations: 1697069
  141. Tue Nov 8 11:57:11 2022 heaviest cycle: 28 relations
  142. Tue Nov 8 11:57:19 2022 RelProcTime: 1278
  143. Tue Nov 8 11:57:19 2022
  144. Tue Nov 8 11:57:19 2022 commencing linear algebra
  145. Tue Nov 8 11:57:19 2022 using VBITS=256
  146. Tue Nov 8 11:57:20 2022 read 4204712 cycles
  147. Tue Nov 8 11:57:29 2022 cycles contain 13995305 unique relations
  148. Tue Nov 8 11:59:13 2022 read 13995305 relations
  149. Tue Nov 8 11:59:15 2022 using 20 quadratic characters above 4294917295
  150. Tue Nov 8 11:59:20 2022 building initial matrix
  151. Tue Nov 8 12:02:17 2022 memory use: 1934.0 MB
  152. Tue Nov 8 12:02:19 2022 read 4204712 cycles
  153. Tue Nov 8 12:02:20 2022 matrix is 4204534 x 4204712 (2099.1 MB) with weight 638871517 (151.94/col)
  154. Tue Nov 8 12:02:20 2022 sparse part has weight 499798012 (118.87/col)
  155. Tue Nov 8 12:03:02 2022 filtering completed in 2 passes
  156. Tue Nov 8 12:03:03 2022 matrix is 4204431 x 4204609 (2099.0 MB) with weight 638865492 (151.94/col)
  157. Tue Nov 8 12:03:03 2022 sparse part has weight 499795506 (118.87/col)
  158. Tue Nov 8 12:03:27 2022 matrix starts at (0, 0)
  159. Tue Nov 8 12:03:27 2022 matrix is 4204431 x 4204609 (2099.0 MB) with weight 638865492 (151.94/col)
  160. Tue Nov 8 12:03:27 2022 sparse part has weight 499795506 (118.87/col)
  161. Tue Nov 8 12:03:27 2022 saving the first 240 matrix rows for later
  162. Tue Nov 8 12:03:28 2022 matrix includes 256 packed rows
  163. Tue Nov 8 12:03:30 2022 matrix is 4204191 x 4204609 (1876.4 MB) with weight 453829077 (107.94/col)
  164. Tue Nov 8 12:03:30 2022 sparse part has weight 424614970 (100.99/col)
  165. Tue Nov 8 12:03:30 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  166. Tue Nov 8 12:03:40 2022 commencing Lanczos iteration (16 threads)
  167. Tue Nov 8 12:03:40 2022 memory use: 2523.6 MB
  168. Tue Nov 8 12:05:14 2022 linear algebra at 0.7%, ETA 3h31m
  169. Tue Nov 8 12:07:34 2022 checking every 10000 dimensions, checkpointing every 1190000 dimensions
  170. Tue Nov 8 15:41:23 2022 lanczos halted after 16473 iterations (dim = 4204189)
  171. Tue Nov 8 15:41:42 2022 recovered 30 nontrivial dependencies
  172. Tue Nov 8 15:41:42 2022 BLanczosTime: 13463
  173. Tue Nov 8 15:41:42 2022
  174. Tue Nov 8 15:41:42 2022 commencing square root phase
  175. Tue Nov 8 15:41:42 2022 handling dependencies 1 to 64
  176. Tue Nov 8 15:41:42 2022 reading relations for dependency 1
  177. Tue Nov 8 15:41:42 2022 read 2103408 cycles
  178. Tue Nov 8 15:41:46 2022 cycles contain 7002286 unique relations
  179. Tue Nov 8 15:43:39 2022 read 7002286 relations
  180. Tue Nov 8 15:44:13 2022 multiplying 7002286 relations
  181. Tue Nov 8 15:49:01 2022 multiply complete, coefficients have about 380.33 million bits
  182. Tue Nov 8 15:49:03 2022 initial square root is modulo 6675043
  183. Tue Nov 8 15:52:27 2022 sqrtTime: 645
  184. Tue Nov 8 15:52:27 2022 p70 factor: 4551994290860134950543007112526339248301531058955164684660816483855327
  185. Tue Nov 8 15:52:27 2022 p89 factor: 60003179451155471810355218716898235276226443336878018260674561243173257374144456563154997
  186. Tue Nov 8 15:52:27 2022 elapsed time 04:16:27
  187.  
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