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Jun 15th, 2024
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  1. Fri Jun 14 14:27:47 2024
  2. Fri Jun 14 14:27:47 2024
  3. Fri Jun 14 14:27:47 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jun 14 14:27:47 2024 random seeds: 49240689 005c537a
  5. Fri Jun 14 14:27:47 2024 Using 64 OpenMP threads
  6. Fri Jun 14 14:27:47 2024 factoring 5559983139524232287284983040159656868028336085744244206078220236634551855927619020905143447419798056985229534304559561683581627656874939660738775929263555677466511343473 (169 digits)
  7. Fri Jun 14 14:27:48 2024 searching for 15-digit factors
  8. Fri Jun 14 14:27:49 2024 commencing number field sieve (169-digit input)
  9. Fri Jun 14 14:27:49 2024 R0: -734321927924151710562365712727415
  10. Fri Jun 14 14:27:49 2024 R1: 158884046251395443
  11. Fri Jun 14 14:27:49 2024 A0: 3687333191264440081618328507492570763817656
  12. Fri Jun 14 14:27:49 2024 A1: 650717770991933507761837168589870466
  13. Fri Jun 14 14:27:49 2024 A2: -10097994908056989754438616087
  14. Fri Jun 14 14:27:49 2024 A3: -592489785183617801936
  15. Fri Jun 14 14:27:49 2024 A4: 2594313198576
  16. Fri Jun 14 14:27:49 2024 A5: 26040
  17. Fri Jun 14 14:27:49 2024 skew 66694695.04, size 1.812e-16, alpha -7.968, combined = 4.103e-13 rroots = 5
  18. Fri Jun 14 14:27:49 2024
  19. Fri Jun 14 14:27:49 2024 commencing relation filtering
  20. Fri Jun 14 14:27:49 2024 setting target matrix density to 124.0
  21. Fri Jun 14 14:27:49 2024 estimated available RAM is 515996.3 MB
  22. Fri Jun 14 14:27:49 2024 commencing duplicate removal, pass 1
  23. Fri Jun 14 14:31:37 2024 error -11 reading relation 217408111
  24. Fri Jun 14 14:31:55 2024 skipped 1 relations with composite factors
  25. Fri Jun 14 14:31:55 2024 skipped 11 malformed relations
  26. Fri Jun 14 14:31:55 2024 found 12116275 hash collisions in 236487325 relations
  27. Fri Jun 14 14:32:17 2024 added 121980 free relations
  28. Fri Jun 14 14:32:17 2024 commencing duplicate removal, pass 2
  29. Fri Jun 14 14:33:16 2024 found 1 duplicates and 236609304 unique relations
  30. Fri Jun 14 14:33:16 2024 memory use: 788.8 MB
  31. Fri Jun 14 14:33:16 2024 reading ideals above 720000
  32. Fri Jun 14 14:33:16 2024 commencing singleton removal, initial pass
  33. Fri Jun 14 14:42:56 2024 memory use: 6024.0 MB
  34. Fri Jun 14 14:42:56 2024 reading all ideals from disk
  35. Fri Jun 14 14:43:00 2024 memory use: 10963.8 MB
  36. Fri Jun 14 14:43:26 2024 keeping 229317163 ideals with weight <= 200, target excess is 1174411
  37. Fri Jun 14 14:43:57 2024 commencing in-memory singleton removal
  38. Fri Jun 14 14:44:02 2024 begin with 236609304 relations and 229317163 unique ideals
  39. Fri Jun 14 14:44:22 2024 reduce to 129275557 relations and 108811333 ideals in 18 passes
  40. Fri Jun 14 14:44:22 2024 max relations containing the same ideal: 142
  41. Fri Jun 14 14:45:10 2024 removing 12306167 relations and 10306168 ideals in 2000000 cliques
  42. Fri Jun 14 14:45:15 2024 commencing in-memory singleton removal
  43. Fri Jun 14 14:45:17 2024 begin with 116969390 relations and 108811333 unique ideals
  44. Fri Jun 14 14:45:25 2024 reduce to 116068362 relations and 97586216 ideals in 10 passes
  45. Fri Jun 14 14:45:25 2024 max relations containing the same ideal: 132
  46. Fri Jun 14 14:46:07 2024 removing 9408845 relations and 7408845 ideals in 2000000 cliques
  47. Fri Jun 14 14:46:12 2024 commencing in-memory singleton removal
  48. Fri Jun 14 14:46:13 2024 begin with 106659517 relations and 97586216 unique ideals
  49. Fri Jun 14 14:46:21 2024 reduce to 106044112 relations and 89551292 ideals in 11 passes
  50. Fri Jun 14 14:46:21 2024 max relations containing the same ideal: 122
  51. Fri Jun 14 14:47:05 2024 removing 8543912 relations and 6543912 ideals in 2000000 cliques
  52. Fri Jun 14 14:47:09 2024 commencing in-memory singleton removal
  53. Fri Jun 14 14:47:11 2024 begin with 97500200 relations and 89551292 unique ideals
  54. Fri Jun 14 14:47:17 2024 reduce to 96936482 relations and 82433533 ideals in 8 passes
  55. Fri Jun 14 14:47:17 2024 max relations containing the same ideal: 115
  56. Fri Jun 14 14:47:52 2024 removing 8121605 relations and 6121605 ideals in 2000000 cliques
  57. Fri Jun 14 14:47:56 2024 commencing in-memory singleton removal
  58. Fri Jun 14 14:47:57 2024 begin with 88814877 relations and 82433533 unique ideals
  59. Fri Jun 14 14:48:02 2024 reduce to 88260107 relations and 75746606 ideals in 8 passes
  60. Fri Jun 14 14:48:02 2024 max relations containing the same ideal: 110
  61. Fri Jun 14 14:48:34 2024 removing 7888771 relations and 5888771 ideals in 2000000 cliques
  62. Fri Jun 14 14:48:38 2024 commencing in-memory singleton removal
  63. Fri Jun 14 14:48:39 2024 begin with 80371336 relations and 75746606 unique ideals
  64. Fri Jun 14 14:48:44 2024 reduce to 79801433 relations and 69276394 ideals in 8 passes
  65. Fri Jun 14 14:48:44 2024 max relations containing the same ideal: 102
  66. Fri Jun 14 14:49:13 2024 removing 7758318 relations and 5758318 ideals in 2000000 cliques
  67. Fri Jun 14 14:49:16 2024 commencing in-memory singleton removal
  68. Fri Jun 14 14:49:17 2024 begin with 72043115 relations and 69276394 unique ideals
  69. Fri Jun 14 14:49:22 2024 reduce to 71434838 relations and 62896269 ideals in 8 passes
  70. Fri Jun 14 14:49:22 2024 max relations containing the same ideal: 95
  71. Fri Jun 14 14:49:50 2024 removing 7704003 relations and 5704003 ideals in 2000000 cliques
  72. Fri Jun 14 14:49:53 2024 commencing in-memory singleton removal
  73. Fri Jun 14 14:49:54 2024 begin with 63730835 relations and 62896269 unique ideals
  74. Fri Jun 14 14:49:58 2024 reduce to 63060259 relations and 56505265 ideals in 9 passes
  75. Fri Jun 14 14:49:58 2024 max relations containing the same ideal: 87
  76. Fri Jun 14 14:50:22 2024 removing 7716741 relations and 5716741 ideals in 2000000 cliques
  77. Fri Jun 14 14:50:25 2024 commencing in-memory singleton removal
  78. Fri Jun 14 14:50:26 2024 begin with 55343518 relations and 56505265 unique ideals
  79. Fri Jun 14 14:50:29 2024 reduce to 54579602 relations and 50003653 ideals in 9 passes
  80. Fri Jun 14 14:50:29 2024 max relations containing the same ideal: 78
  81. Fri Jun 14 14:50:50 2024 removing 7778138 relations and 5778138 ideals in 2000000 cliques
  82. Fri Jun 14 14:50:53 2024 commencing in-memory singleton removal
  83. Fri Jun 14 14:50:53 2024 begin with 46801464 relations and 50003653 unique ideals
  84. Fri Jun 14 14:50:56 2024 reduce to 45893752 relations and 43288916 ideals in 10 passes
  85. Fri Jun 14 14:50:56 2024 max relations containing the same ideal: 70
  86. Fri Jun 14 14:51:14 2024 removing 5484327 relations and 4241808 ideals in 1242519 cliques
  87. Fri Jun 14 14:51:16 2024 commencing in-memory singleton removal
  88. Fri Jun 14 14:51:17 2024 begin with 40409425 relations and 43288916 unique ideals
  89. Fri Jun 14 14:51:19 2024 reduce to 39895737 relations and 38521106 ideals in 9 passes
  90. Fri Jun 14 14:51:19 2024 max relations containing the same ideal: 64
  91. Fri Jun 14 14:51:34 2024 removing 114606 relations and 102292 ideals in 12314 cliques
  92. Fri Jun 14 14:51:36 2024 commencing in-memory singleton removal
  93. Fri Jun 14 14:51:36 2024 begin with 39781131 relations and 38521106 unique ideals
  94. Fri Jun 14 14:51:38 2024 reduce to 39780930 relations and 38418613 ideals in 5 passes
  95. Fri Jun 14 14:51:38 2024 max relations containing the same ideal: 64
  96. Fri Jun 14 14:51:42 2024 relations with 0 large ideals: 4413
  97. Fri Jun 14 14:51:42 2024 relations with 1 large ideals: 39077
  98. Fri Jun 14 14:51:42 2024 relations with 2 large ideals: 490074
  99. Fri Jun 14 14:51:42 2024 relations with 3 large ideals: 2543757
  100. Fri Jun 14 14:51:42 2024 relations with 4 large ideals: 6916192
  101. Fri Jun 14 14:51:42 2024 relations with 5 large ideals: 10912885
  102. Fri Jun 14 14:51:42 2024 relations with 6 large ideals: 10428339
  103. Fri Jun 14 14:51:42 2024 relations with 7+ large ideals: 8446193
  104. Fri Jun 14 14:51:42 2024 commencing 2-way merge
  105. Fri Jun 14 14:52:04 2024 reduce to 24050787 relation sets and 22688470 unique ideals
  106. Fri Jun 14 14:52:04 2024 commencing full merge
  107. Fri Jun 14 14:59:03 2024 memory use: 2723.4 MB
  108. Fri Jun 14 14:59:05 2024 found 10456543 cycles, need 10402670
  109. Fri Jun 14 14:59:08 2024 weight of 10402670 cycles is about 1290612938 (124.07/cycle)
  110. Fri Jun 14 14:59:08 2024 distribution of cycle lengths:
  111. Fri Jun 14 14:59:08 2024 1 relations: 597727
  112. Fri Jun 14 14:59:08 2024 2 relations: 691488
  113. Fri Jun 14 14:59:08 2024 3 relations: 731789
  114. Fri Jun 14 14:59:08 2024 4 relations: 716422
  115. Fri Jun 14 14:59:08 2024 5 relations: 711227
  116. Fri Jun 14 14:59:08 2024 6 relations: 689172
  117. Fri Jun 14 14:59:08 2024 7 relations: 679290
  118. Fri Jun 14 14:59:08 2024 8 relations: 644177
  119. Fri Jun 14 14:59:08 2024 9 relations: 618036
  120. Fri Jun 14 14:59:08 2024 10+ relations: 4323342
  121. Fri Jun 14 14:59:08 2024 heaviest cycle: 28 relations
  122. Fri Jun 14 14:59:10 2024 commencing cycle optimization
  123. Fri Jun 14 14:59:28 2024 start with 94337462 relations
  124. Fri Jun 14 15:02:24 2024 pruned 3859561 relations
  125. Fri Jun 14 15:02:24 2024 memory use: 2582.5 MB
  126. Fri Jun 14 15:02:24 2024 distribution of cycle lengths:
  127. Fri Jun 14 15:02:24 2024 1 relations: 597727
  128. Fri Jun 14 15:02:24 2024 2 relations: 709152
  129. Fri Jun 14 15:02:24 2024 3 relations: 761447
  130. Fri Jun 14 15:02:24 2024 4 relations: 742632
  131. Fri Jun 14 15:02:24 2024 5 relations: 741350
  132. Fri Jun 14 15:02:24 2024 6 relations: 717621
  133. Fri Jun 14 15:02:24 2024 7 relations: 708562
  134. Fri Jun 14 15:02:24 2024 8 relations: 671207
  135. Fri Jun 14 15:02:24 2024 9 relations: 642013
  136. Fri Jun 14 15:02:24 2024 10+ relations: 4110959
  137. Fri Jun 14 15:02:24 2024 heaviest cycle: 28 relations
  138. Fri Jun 14 15:02:38 2024 RelProcTime: 2089
  139. Fri Jun 14 15:02:38 2024
  140. Fri Jun 14 15:02:38 2024 commencing linear algebra
  141. Fri Jun 14 15:02:38 2024 using VBITS=256
  142. Fri Jun 14 15:02:39 2024 read 10402670 cycles
  143. Fri Jun 14 15:02:56 2024 cycles contain 38847584 unique relations
  144. Fri Jun 14 15:03:33 2024 read 38847584 relations
  145. Fri Jun 14 15:03:37 2024 using 20 quadratic characters above 4294917295
  146. Fri Jun 14 15:03:42 2024 building initial matrix
  147. Fri Jun 14 15:10:21 2024 memory use: 5417.6 MB
  148. Fri Jun 14 15:10:26 2024 read 10402670 cycles
  149. Fri Jun 14 15:10:27 2024 matrix is 10402493 x 10402670 (5065.2 MB) with weight 1556852916 (149.66/col)
  150. Fri Jun 14 15:10:27 2024 sparse part has weight 1202968860 (115.64/col)
  151. Fri Jun 14 15:12:48 2024 filtering completed in 2 passes
  152. Fri Jun 14 15:12:50 2024 matrix is 10401768 x 10401943 (5065.1 MB) with weight 1556813875 (149.67/col)
  153. Fri Jun 14 15:12:50 2024 sparse part has weight 1202956423 (115.65/col)
  154. Fri Jun 14 15:13:24 2024 matrix starts at (0, 0)
  155. Fri Jun 14 15:13:25 2024 matrix is 10401768 x 10401943 (5065.1 MB) with weight 1556813875 (149.67/col)
  156. Fri Jun 14 15:13:25 2024 sparse part has weight 1202956423 (115.65/col)
  157. Fri Jun 14 15:13:25 2024 saving the first 240 matrix rows for later
  158. Fri Jun 14 15:13:27 2024 matrix includes 256 packed rows
  159. Fri Jun 14 15:13:30 2024 matrix is 10401528 x 10401943 (4577.1 MB) with weight 1101633343 (105.91/col)
  160. Fri Jun 14 15:13:30 2024 sparse part has weight 1033434989 (99.35/col)
  161. Fri Jun 14 15:13:30 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  162. Fri Jun 14 15:13:51 2024 commencing Lanczos iteration (64 threads)
  163. Fri Jun 14 15:13:51 2024 memory use: 6225.6 MB
  164. Fri Jun 14 15:15:55 2024 linear algebra at 0.3%, ETA 11h22m
  165. Fri Jun 14 15:18:24 2024 checking every 10000 dimensions, checkpointing every 1030000 dimensions
  166. Sat Jun 15 00:29:58 2024 lanczos halted after 40754 iterations (dim = 10401524)
  167. Sat Jun 15 00:30:47 2024 recovered 26 nontrivial dependencies
  168. Sat Jun 15 00:30:48 2024 BLanczosTime: 34090
  169. Sat Jun 15 00:30:48 2024
  170. Sat Jun 15 00:30:48 2024 commencing square root phase
  171. Sat Jun 15 00:30:48 2024 handling dependencies 1 to 64
  172. Sat Jun 15 00:30:48 2024 reading relations for dependency 1
  173. Sat Jun 15 00:30:49 2024 read 5201034 cycles
  174. Sat Jun 15 00:30:58 2024 cycles contain 19423350 unique relations
  175. Sat Jun 15 00:31:13 2024 read 19423350 relations
  176. Sat Jun 15 00:32:20 2024 multiplying 19423350 relations
  177. Sat Jun 15 00:40:07 2024 multiply complete, coefficients have about 1034.60 million bits
  178. Sat Jun 15 00:40:10 2024 initial square root is modulo 1913939197
  179. Sat Jun 15 00:45:32 2024 sqrtTime: 884
  180. Sat Jun 15 00:45:32 2024 p70 factor: 1422810853120847885423277994322550266344658235921910149618726172063567
  181. Sat Jun 15 00:45:32 2024 p100 factor: 3907745802844244589297890526682704021515640522324990264439522691512979400270890305287557341071437119
  182. Sat Jun 15 00:45:32 2024 elapsed time 10:17:45
  183.  
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