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Mar 10th, 2024
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  1. Sun Mar 10 12:35:43 2024
  2. Sun Mar 10 12:35:43 2024
  3. Sun Mar 10 12:35:43 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Mar 10 12:35:43 2024 random seeds: ce1ddd91 0604c6bd
  5. Sun Mar 10 12:35:43 2024 Using 16 OpenMP threads
  6. Sun Mar 10 12:35:43 2024 factoring 23496759903885124108414008506329422144845134795394809664953191480223288506808224496215369213461763308960006319671370508458870741996452251417936141333819820122100656159 (167 digits)
  7. Sun Mar 10 12:35:44 2024 searching for 15-digit factors
  8. Sun Mar 10 12:35:44 2024 commencing number field sieve (167-digit input)
  9. Sun Mar 10 12:35:44 2024 R0: -269984492162207776012393709575361
  10. Sun Mar 10 12:35:44 2024 R1: 49002323117960909
  11. Sun Mar 10 12:35:44 2024 A0: 195842139231449095432338646841022878582880
  12. Sun Mar 10 12:35:44 2024 A1: 17957404395941457012540396776331924
  13. Sun Mar 10 12:35:44 2024 A2: 849362732120552514422935072
  14. Sun Mar 10 12:35:44 2024 A3: -26254639775632219241
  15. Sun Mar 10 12:35:44 2024 A4: -2873970795168
  16. Sun Mar 10 12:35:44 2024 A5: 16380
  17. Sun Mar 10 12:35:44 2024 skew 33271216.51, size 3.171e-16, alpha -7.271, combined = 5.735e-13 rroots = 3
  18. Sun Mar 10 12:35:44 2024
  19. Sun Mar 10 12:35:44 2024 commencing relation filtering
  20. Sun Mar 10 12:35:44 2024 setting target matrix density to 130.0
  21. Sun Mar 10 12:35:44 2024 estimated available RAM is 515996.3 MB
  22. Sun Mar 10 12:35:44 2024 commencing duplicate removal, pass 1
  23. Sun Mar 10 12:37:39 2024 error -1 reading relation 50734913
  24. Sun Mar 10 12:40:01 2024 error -1 reading relation 114273320
  25. Sun Mar 10 12:40:12 2024 error -1 reading relation 119170050
  26. Sun Mar 10 12:40:15 2024 error -1 reading relation 120418021
  27. Sun Mar 10 12:40:39 2024 error -1 reading relation 130951550
  28. Sun Mar 10 12:41:19 2024 error -1 reading relation 149049520
  29. Sun Mar 10 12:43:46 2024 error -1 reading relation 214514737
  30. Sun Mar 10 12:44:06 2024 skipped 49 malformed relations
  31. Sun Mar 10 12:44:06 2024 found 46914415 hash collisions in 223799950 relations
  32. Sun Mar 10 12:44:33 2024 added 121960 free relations
  33. Sun Mar 10 12:44:33 2024 commencing duplicate removal, pass 2
  34. Sun Mar 10 12:49:50 2024 found 46607214 duplicates and 177314696 unique relations
  35. Sun Mar 10 12:49:50 2024 memory use: 1321.5 MB
  36. Sun Mar 10 12:49:50 2024 reading ideals above 720000
  37. Sun Mar 10 12:49:50 2024 commencing singleton removal, initial pass
  38. Sun Mar 10 13:01:30 2024 memory use: 5512.0 MB
  39. Sun Mar 10 13:01:30 2024 reading all ideals from disk
  40. Sun Mar 10 13:01:33 2024 memory use: 8057.2 MB
  41. Sun Mar 10 13:01:55 2024 keeping 184995959 ideals with weight <= 200, target excess is 957918
  42. Sun Mar 10 13:02:23 2024 commencing in-memory singleton removal
  43. Sun Mar 10 13:02:29 2024 begin with 177314696 relations and 184995959 unique ideals
  44. Sun Mar 10 13:02:54 2024 reduce to 71174848 relations and 63128143 ideals in 18 passes
  45. Sun Mar 10 13:02:54 2024 max relations containing the same ideal: 112
  46. Sun Mar 10 13:03:29 2024 removing 7888369 relations and 6888369 ideals in 1000000 cliques
  47. Sun Mar 10 13:03:33 2024 commencing in-memory singleton removal
  48. Sun Mar 10 13:03:35 2024 begin with 63286479 relations and 63128143 unique ideals
  49. Sun Mar 10 13:03:43 2024 reduce to 62640365 relations and 55581849 ideals in 10 passes
  50. Sun Mar 10 13:03:43 2024 max relations containing the same ideal: 104
  51. Sun Mar 10 13:04:13 2024 removing 5878694 relations and 4878694 ideals in 1000000 cliques
  52. Sun Mar 10 13:04:16 2024 commencing in-memory singleton removal
  53. Sun Mar 10 13:04:18 2024 begin with 56761671 relations and 55581849 unique ideals
  54. Sun Mar 10 13:04:24 2024 reduce to 56339709 relations and 50274306 ideals in 10 passes
  55. Sun Mar 10 13:04:24 2024 max relations containing the same ideal: 97
  56. Sun Mar 10 13:04:50 2024 removing 5254738 relations and 4254738 ideals in 1000000 cliques
  57. Sun Mar 10 13:04:53 2024 commencing in-memory singleton removal
  58. Sun Mar 10 13:04:55 2024 begin with 51084971 relations and 50274306 unique ideals
  59. Sun Mar 10 13:05:00 2024 reduce to 50710676 relations and 45639059 ideals in 8 passes
  60. Sun Mar 10 13:05:00 2024 max relations containing the same ideal: 92
  61. Sun Mar 10 13:05:22 2024 removing 4925483 relations and 3925483 ideals in 1000000 cliques
  62. Sun Mar 10 13:05:25 2024 commencing in-memory singleton removal
  63. Sun Mar 10 13:05:26 2024 begin with 45785193 relations and 45639059 unique ideals
  64. Sun Mar 10 13:05:32 2024 reduce to 45420653 relations and 41342707 ideals in 10 passes
  65. Sun Mar 10 13:05:32 2024 max relations containing the same ideal: 85
  66. Sun Mar 10 13:05:52 2024 removing 4719841 relations and 3719841 ideals in 1000000 cliques
  67. Sun Mar 10 13:05:54 2024 commencing in-memory singleton removal
  68. Sun Mar 10 13:05:56 2024 begin with 40700812 relations and 41342707 unique ideals
  69. Sun Mar 10 13:06:00 2024 reduce to 40332009 relations and 37247013 ideals in 8 passes
  70. Sun Mar 10 13:06:00 2024 max relations containing the same ideal: 79
  71. Sun Mar 10 13:06:17 2024 removing 4590827 relations and 3590827 ideals in 1000000 cliques
  72. Sun Mar 10 13:06:20 2024 commencing in-memory singleton removal
  73. Sun Mar 10 13:06:21 2024 begin with 35741182 relations and 37247013 unique ideals
  74. Sun Mar 10 13:06:25 2024 reduce to 35350321 relations and 33256971 ideals in 10 passes
  75. Sun Mar 10 13:06:25 2024 max relations containing the same ideal: 72
  76. Sun Mar 10 13:06:40 2024 removing 4438661 relations and 3456496 ideals in 982165 cliques
  77. Sun Mar 10 13:06:42 2024 commencing in-memory singleton removal
  78. Sun Mar 10 13:06:43 2024 begin with 30911660 relations and 33256971 unique ideals
  79. Sun Mar 10 13:06:47 2024 reduce to 30495688 relations and 29374640 ideals in 11 passes
  80. Sun Mar 10 13:06:47 2024 max relations containing the same ideal: 65
  81. Sun Mar 10 13:07:00 2024 removing 96428 relations and 86565 ideals in 9863 cliques
  82. Sun Mar 10 13:07:02 2024 commencing in-memory singleton removal
  83. Sun Mar 10 13:07:02 2024 begin with 30399260 relations and 29374640 unique ideals
  84. Sun Mar 10 13:07:04 2024 reduce to 30399081 relations and 29287896 ideals in 5 passes
  85. Sun Mar 10 13:07:04 2024 max relations containing the same ideal: 65
  86. Sun Mar 10 13:07:08 2024 relations with 0 large ideals: 3237
  87. Sun Mar 10 13:07:08 2024 relations with 1 large ideals: 37833
  88. Sun Mar 10 13:07:08 2024 relations with 2 large ideals: 444394
  89. Sun Mar 10 13:07:08 2024 relations with 3 large ideals: 2211555
  90. Sun Mar 10 13:07:08 2024 relations with 4 large ideals: 5768699
  91. Sun Mar 10 13:07:08 2024 relations with 5 large ideals: 8585886
  92. Sun Mar 10 13:07:08 2024 relations with 6 large ideals: 7653071
  93. Sun Mar 10 13:07:08 2024 relations with 7+ large ideals: 5694406
  94. Sun Mar 10 13:07:08 2024 commencing 2-way merge
  95. Sun Mar 10 13:07:28 2024 reduce to 17949676 relation sets and 16838491 unique ideals
  96. Sun Mar 10 13:07:28 2024 commencing full merge
  97. Sun Mar 10 13:13:37 2024 memory use: 2007.0 MB
  98. Sun Mar 10 13:13:38 2024 found 7767081 cycles, need 7740691
  99. Sun Mar 10 13:13:41 2024 weight of 7740691 cycles is about 1007047654 (130.10/cycle)
  100. Sun Mar 10 13:13:41 2024 distribution of cycle lengths:
  101. Sun Mar 10 13:13:41 2024 1 relations: 356103
  102. Sun Mar 10 13:13:41 2024 2 relations: 474405
  103. Sun Mar 10 13:13:41 2024 3 relations: 533365
  104. Sun Mar 10 13:13:41 2024 4 relations: 537255
  105. Sun Mar 10 13:13:41 2024 5 relations: 536500
  106. Sun Mar 10 13:13:41 2024 6 relations: 520569
  107. Sun Mar 10 13:13:41 2024 7 relations: 507033
  108. Sun Mar 10 13:13:41 2024 8 relations: 480005
  109. Sun Mar 10 13:13:41 2024 9 relations: 454451
  110. Sun Mar 10 13:13:41 2024 10+ relations: 3341005
  111. Sun Mar 10 13:13:41 2024 heaviest cycle: 28 relations
  112. Sun Mar 10 13:13:43 2024 commencing cycle optimization
  113. Sun Mar 10 13:14:00 2024 start with 72750804 relations
  114. Sun Mar 10 13:16:31 2024 pruned 2895502 relations
  115. Sun Mar 10 13:16:31 2024 memory use: 1980.7 MB
  116. Sun Mar 10 13:16:31 2024 distribution of cycle lengths:
  117. Sun Mar 10 13:16:31 2024 1 relations: 356103
  118. Sun Mar 10 13:16:31 2024 2 relations: 486664
  119. Sun Mar 10 13:16:31 2024 3 relations: 554980
  120. Sun Mar 10 13:16:31 2024 4 relations: 557077
  121. Sun Mar 10 13:16:31 2024 5 relations: 559861
  122. Sun Mar 10 13:16:31 2024 6 relations: 541681
  123. Sun Mar 10 13:16:31 2024 7 relations: 527966
  124. Sun Mar 10 13:16:31 2024 8 relations: 497820
  125. Sun Mar 10 13:16:31 2024 9 relations: 470563
  126. Sun Mar 10 13:16:31 2024 10+ relations: 3187976
  127. Sun Mar 10 13:16:31 2024 heaviest cycle: 28 relations
  128. Sun Mar 10 13:16:41 2024 RelProcTime: 2457
  129. Sun Mar 10 13:16:41 2024 elapsed time 00:40:58
  130. Sun Mar 10 13:33:58 2024
  131. Sun Mar 10 13:33:58 2024
  132. Sun Mar 10 13:33:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  133. Sun Mar 10 13:33:58 2024 random seeds: 349f7c6e 767bafef
  134. Sun Mar 10 13:33:58 2024 Using 64 OpenMP threads
  135. Sun Mar 10 13:33:58 2024 factoring 23496759903885124108414008506329422144845134795394809664953191480223288506808224496215369213461763308960006319671370508458870741996452251417936141333819820122100656159 (167 digits)
  136. Sun Mar 10 13:33:59 2024 searching for 15-digit factors
  137. Sun Mar 10 13:34:00 2024 commencing number field sieve (167-digit input)
  138. Sun Mar 10 13:34:00 2024 R0: -269984492162207776012393709575361
  139. Sun Mar 10 13:34:00 2024 R1: 49002323117960909
  140. Sun Mar 10 13:34:00 2024 A0: 195842139231449095432338646841022878582880
  141. Sun Mar 10 13:34:00 2024 A1: 17957404395941457012540396776331924
  142. Sun Mar 10 13:34:00 2024 A2: 849362732120552514422935072
  143. Sun Mar 10 13:34:00 2024 A3: -26254639775632219241
  144. Sun Mar 10 13:34:00 2024 A4: -2873970795168
  145. Sun Mar 10 13:34:00 2024 A5: 16380
  146. Sun Mar 10 13:34:00 2024 skew 33271216.51, size 3.171e-16, alpha -7.271, combined = 5.735e-13 rroots = 3
  147. Sun Mar 10 13:34:00 2024
  148. Sun Mar 10 13:34:00 2024 commencing linear algebra
  149. Sun Mar 10 13:34:00 2024 using VBITS=256
  150. Sun Mar 10 13:34:02 2024 read 7740691 cycles
  151. Sun Mar 10 13:34:30 2024 cycles contain 29590877 unique relations
  152. Sun Mar 10 13:38:33 2024 read 29590877 relations
  153. Sun Mar 10 13:38:35 2024 using 20 quadratic characters above 4294917295
  154. Sun Mar 10 13:38:39 2024 building initial matrix
  155. Sun Mar 10 13:43:22 2024 memory use: 3970.5 MB
  156. Sun Mar 10 13:43:26 2024 read 7740691 cycles
  157. Sun Mar 10 13:43:27 2024 matrix is 7740512 x 7740691 (3937.9 MB) with weight 1186252488 (153.25/col)
  158. Sun Mar 10 13:43:27 2024 sparse part has weight 939415270 (121.36/col)
  159. Sun Mar 10 13:44:52 2024 filtering completed in 2 passes
  160. Sun Mar 10 13:44:54 2024 matrix is 7740160 x 7740337 (3937.9 MB) with weight 1186234886 (153.25/col)
  161. Sun Mar 10 13:44:54 2024 sparse part has weight 939409749 (121.37/col)
  162. Sun Mar 10 13:45:19 2024 matrix starts at (0, 0)
  163. Sun Mar 10 13:45:20 2024 matrix is 7740160 x 7740337 (3937.9 MB) with weight 1186234886 (153.25/col)
  164. Sun Mar 10 13:45:20 2024 sparse part has weight 939409749 (121.37/col)
  165. Sun Mar 10 13:45:20 2024 saving the first 240 matrix rows for later
  166. Sun Mar 10 13:45:22 2024 matrix includes 256 packed rows
  167. Sun Mar 10 13:45:24 2024 matrix is 7739920 x 7740337 (3519.6 MB) with weight 855829756 (110.57/col)
  168. Sun Mar 10 13:45:24 2024 sparse part has weight 798795321 (103.20/col)
  169. Sun Mar 10 13:45:24 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  170. Sun Mar 10 13:45:40 2024 commencing Lanczos iteration (64 threads)
  171. Sun Mar 10 13:45:40 2024 memory use: 4721.6 MB
  172. Sun Mar 10 13:47:57 2024 linear algebra at 0.4%, ETA 9h26m
  173. Sun Mar 10 13:49:45 2024 checking every 10000 dimensions, checkpointing every 1140000 dimensions
  174. Sun Mar 10 18:48:53 2024 lanczos halted after 30327 iterations (dim = 7739919)
  175. Sun Mar 10 18:49:24 2024 recovered 31 nontrivial dependencies
  176. Sun Mar 10 18:49:25 2024 BLanczosTime: 18925
  177. Sun Mar 10 18:49:25 2024
  178. Sun Mar 10 18:49:25 2024 commencing square root phase
  179. Sun Mar 10 18:49:25 2024 reading relations for dependency 1
  180. Sun Mar 10 18:49:25 2024 read 3870606 cycles
  181. Sun Mar 10 18:49:32 2024 cycles contain 14797526 unique relations
  182. Sun Mar 10 18:52:36 2024 read 14797526 relations
  183. Sun Mar 10 18:53:24 2024 multiplying 14797526 relations
  184. Sun Mar 10 18:59:15 2024 multiply complete, coefficients have about 775.67 million bits
  185. Sun Mar 10 18:59:17 2024 initial square root is modulo 9096947
  186. Sun Mar 10 19:03:21 2024 sqrtTime: 836
  187. Sun Mar 10 19:03:21 2024 p82 factor: 5293635625299036283053738155924075334109818631717020184856180105023474458908795273
  188. Sun Mar 10 19:03:21 2024 p85 factor: 4438681006223921473373336048462588236969130955246583004670184348422427578382697044583
  189. Sun Mar 10 19:03:21 2024 elapsed time 05:29:23
  190.  
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