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C171_3408_1748

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Aug 8th, 2023
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  1. Sun Aug 06 21:05:02 2023
  2. Sun Aug 06 21:05:02 2023
  3. Sun Aug 06 21:05:02 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Aug 06 21:05:02 2023 random seeds: 9a3a1e48 0beed3d9
  5. Sun Aug 06 21:05:02 2023 factoring 186930866548841425796364392473126425663203119523150549271668408180729840320381202218951719401062051969850181610742638595356911106907693974851617131740976339430239469153627 (171 digits)
  6. Sun Aug 06 21:05:03 2023 searching for 15-digit factors
  7. Sun Aug 06 21:05:03 2023 commencing number field sieve (171-digit input)
  8. Sun Aug 06 21:05:03 2023 R0: -1139092412971097341579281864747008
  9. Sun Aug 06 21:05:03 2023 R1: 1431975650298720985666949
  10. Sun Aug 06 21:05:03 2023 A0: 397117104985340562330325254293659120601916
  11. Sun Aug 06 21:05:03 2023 A1: 113085365636087703229241741977273104
  12. Sun Aug 06 21:05:03 2023 A2: -107364235069364155910149993
  13. Sun Aug 06 21:05:03 2023 A3: -1010081699868535799059
  14. Sun Aug 06 21:05:03 2023 A4: 2712477723552
  15. Sun Aug 06 21:05:03 2023 A5: 388080
  16. Sun Aug 06 21:05:03 2023 skew 21323334.00, size 1.396e-016, alpha -8.003, combined = 3.540e-013 rroots = 5
  17. Sun Aug 06 21:05:03 2023
  18. Sun Aug 06 21:05:03 2023 commencing relation filtering
  19. Sun Aug 06 21:05:03 2023 setting target matrix density to 110.0
  20. Sun Aug 06 21:05:03 2023 estimated available RAM is 32642.9 MB
  21. Sun Aug 06 21:05:03 2023 commencing duplicate removal, pass 1
  22. Sun Aug 06 21:05:05 2023 error -15 reading relation 297447
  23. Sun Aug 06 21:05:37 2023 error -9 reading relation 4231428
  24. Sun Aug 06 21:06:55 2023 error -9 reading relation 14080774
  25. Sun Aug 06 21:07:36 2023 error -15 reading relation 19257457
  26. Sun Aug 06 21:21:22 2023 error -5 reading relation 122834580
  27. Sun Aug 06 21:21:27 2023 error -15 reading relation 123498150
  28. Sun Aug 06 21:21:29 2023 error -15 reading relation 123638230
  29. Sun Aug 06 21:21:30 2023 skipped 37 relations with composite factors
  30. Sun Aug 06 21:21:30 2023 found 25012569 hash collisions in 123787539 relations
  31. Sun Aug 06 21:21:55 2023 commencing duplicate removal, pass 2
  32. Sun Aug 06 21:23:01 2023 found 24448212 duplicates and 99339327 unique relations
  33. Sun Aug 06 21:23:01 2023 memory use: 660.8 MB
  34. Sun Aug 06 21:23:01 2023 reading ideals above 720000
  35. Sun Aug 06 21:23:01 2023 commencing singleton removal, initial pass
  36. Sun Aug 06 21:35:54 2023 memory use: 2756.0 MB
  37. Sun Aug 06 21:35:54 2023 reading all ideals from disk
  38. Sun Aug 06 21:35:56 2023 memory use: 3878.1 MB
  39. Sun Aug 06 21:36:04 2023 keeping 90935348 ideals with weight <= 200, target excess is 559871
  40. Sun Aug 06 21:36:14 2023 commencing in-memory singleton removal
  41. Sun Aug 06 21:36:22 2023 begin with 99339327 relations and 90935348 unique ideals
  42. Sun Aug 06 21:37:26 2023 reduce to 65223005 relations and 53463581 ideals in 13 passes
  43. Sun Aug 06 21:37:26 2023 max relations containing the same ideal: 158
  44. Sun Aug 06 21:37:54 2023 removing 8887535 relations and 6887535 ideals in 2000000 cliques
  45. Sun Aug 06 21:37:57 2023 commencing in-memory singleton removal
  46. Sun Aug 06 21:38:01 2023 begin with 56335470 relations and 53463581 unique ideals
  47. Sun Aug 06 21:38:36 2023 reduce to 55415426 relations and 45622624 ideals in 8 passes
  48. Sun Aug 06 21:38:36 2023 max relations containing the same ideal: 143
  49. Sun Aug 06 21:39:01 2023 removing 7035012 relations and 5035012 ideals in 2000000 cliques
  50. Sun Aug 06 21:39:04 2023 commencing in-memory singleton removal
  51. Sun Aug 06 21:39:07 2023 begin with 48380414 relations and 45622624 unique ideals
  52. Sun Aug 06 21:39:36 2023 reduce to 47703850 relations and 39887635 ideals in 8 passes
  53. Sun Aug 06 21:39:36 2023 max relations containing the same ideal: 134
  54. Sun Aug 06 21:39:58 2023 removing 6547771 relations and 4547771 ideals in 2000000 cliques
  55. Sun Aug 06 21:40:00 2023 commencing in-memory singleton removal
  56. Sun Aug 06 21:40:03 2023 begin with 41156079 relations and 39887635 unique ideals
  57. Sun Aug 06 21:40:27 2023 reduce to 40507429 relations and 34666866 ideals in 8 passes
  58. Sun Aug 06 21:40:27 2023 max relations containing the same ideal: 115
  59. Sun Aug 06 21:40:45 2023 removing 6326466 relations and 4326466 ideals in 2000000 cliques
  60. Sun Aug 06 21:40:47 2023 commencing in-memory singleton removal
  61. Sun Aug 06 21:40:49 2023 begin with 34180963 relations and 34666866 unique ideals
  62. Sun Aug 06 21:41:08 2023 reduce to 33500766 relations and 29631184 ideals in 8 passes
  63. Sun Aug 06 21:41:08 2023 max relations containing the same ideal: 101
  64. Sun Aug 06 21:41:24 2023 removing 6220564 relations and 4220564 ideals in 2000000 cliques
  65. Sun Aug 06 21:41:26 2023 commencing in-memory singleton removal
  66. Sun Aug 06 21:41:28 2023 begin with 27280202 relations and 29631184 unique ideals
  67. Sun Aug 06 21:41:43 2023 reduce to 26506634 relations and 24597307 ideals in 8 passes
  68. Sun Aug 06 21:41:43 2023 max relations containing the same ideal: 85
  69. Sun Aug 06 21:41:55 2023 removing 4275291 relations and 3015415 ideals in 1259876 cliques
  70. Sun Aug 06 21:41:56 2023 commencing in-memory singleton removal
  71. Sun Aug 06 21:41:58 2023 begin with 22231343 relations and 24597307 unique ideals
  72. Sun Aug 06 21:42:08 2023 reduce to 21766940 relations and 21098337 ideals in 7 passes
  73. Sun Aug 06 21:42:08 2023 max relations containing the same ideal: 75
  74. Sun Aug 06 21:42:18 2023 removing 131199 relations and 112047 ideals in 19152 cliques
  75. Sun Aug 06 21:42:19 2023 commencing in-memory singleton removal
  76. Sun Aug 06 21:42:21 2023 begin with 21635741 relations and 21098337 unique ideals
  77. Sun Aug 06 21:42:26 2023 reduce to 21635308 relations and 20985856 ideals in 4 passes
  78. Sun Aug 06 21:42:26 2023 max relations containing the same ideal: 74
  79. Sun Aug 06 21:42:30 2023 relations with 0 large ideals: 1806
  80. Sun Aug 06 21:42:30 2023 relations with 1 large ideals: 7087
  81. Sun Aug 06 21:42:30 2023 relations with 2 large ideals: 99773
  82. Sun Aug 06 21:42:30 2023 relations with 3 large ideals: 649057
  83. Sun Aug 06 21:42:30 2023 relations with 4 large ideals: 2249024
  84. Sun Aug 06 21:42:30 2023 relations with 5 large ideals: 4609139
  85. Sun Aug 06 21:42:30 2023 relations with 6 large ideals: 5907303
  86. Sun Aug 06 21:42:30 2023 relations with 7+ large ideals: 8112119
  87. Sun Aug 06 21:42:30 2023 commencing 2-way merge
  88. Sun Aug 06 21:42:43 2023 reduce to 14169002 relation sets and 13519550 unique ideals
  89. Sun Aug 06 21:42:43 2023 commencing full merge
  90. Sun Aug 06 21:47:39 2023 memory use: 1731.3 MB
  91. Sun Aug 06 21:47:42 2023 found 6715654 cycles, need 6637750
  92. Sun Aug 06 21:47:43 2023 weight of 6637750 cycles is about 730259946 (110.02/cycle)
  93. Sun Aug 06 21:47:43 2023 distribution of cycle lengths:
  94. Sun Aug 06 21:47:43 2023 1 relations: 323899
  95. Sun Aug 06 21:47:43 2023 2 relations: 476240
  96. Sun Aug 06 21:47:43 2023 3 relations: 556823
  97. Sun Aug 06 21:47:43 2023 4 relations: 577803
  98. Sun Aug 06 21:47:43 2023 5 relations: 588403
  99. Sun Aug 06 21:47:43 2023 6 relations: 577397
  100. Sun Aug 06 21:47:43 2023 7 relations: 548276
  101. Sun Aug 06 21:47:43 2023 8 relations: 507768
  102. Sun Aug 06 21:47:43 2023 9 relations: 456814
  103. Sun Aug 06 21:47:43 2023 10+ relations: 2024327
  104. Sun Aug 06 21:47:43 2023 heaviest cycle: 25 relations
  105. Sun Aug 06 21:47:46 2023 commencing cycle optimization
  106. Sun Aug 06 21:47:56 2023 start with 50411789 relations
  107. Sun Aug 06 21:49:48 2023 pruned 2184212 relations
  108. Sun Aug 06 21:49:48 2023 memory use: 1415.3 MB
  109. Sun Aug 06 21:49:48 2023 distribution of cycle lengths:
  110. Sun Aug 06 21:49:48 2023 1 relations: 323899
  111. Sun Aug 06 21:49:48 2023 2 relations: 489852
  112. Sun Aug 06 21:49:48 2023 3 relations: 583383
  113. Sun Aug 06 21:49:48 2023 4 relations: 603953
  114. Sun Aug 06 21:49:48 2023 5 relations: 620143
  115. Sun Aug 06 21:49:48 2023 6 relations: 605359
  116. Sun Aug 06 21:49:48 2023 7 relations: 575821
  117. Sun Aug 06 21:49:48 2023 8 relations: 527065
  118. Sun Aug 06 21:49:48 2023 9 relations: 470638
  119. Sun Aug 06 21:49:48 2023 10+ relations: 1837637
  120. Sun Aug 06 21:49:48 2023 heaviest cycle: 25 relations
  121. Sun Aug 06 21:49:57 2023 RelProcTime: 2694
  122. Sun Aug 06 21:49:57 2023
  123. Sun Aug 06 21:49:57 2023 commencing linear algebra
  124. Sun Aug 06 21:49:58 2023 read 6637750 cycles
  125. Sun Aug 06 21:50:10 2023 cycles contain 21286504 unique relations
  126. Sun Aug 06 21:52:21 2023 read 21286504 relations
  127. Sun Aug 06 21:52:50 2023 using 20 quadratic characters above 4294917295
  128. Sun Aug 06 21:54:15 2023 building initial matrix
  129. Sun Aug 06 21:58:19 2023 memory use: 2990.8 MB
  130. Sun Aug 06 21:58:25 2023 read 6637750 cycles
  131. Sun Aug 06 21:58:27 2023 matrix is 6637573 x 6637750 (2879.8 MB) with weight 883484577 (133.10/col)
  132. Sun Aug 06 21:58:27 2023 sparse part has weight 681896899 (102.73/col)
  133. Sun Aug 06 21:59:41 2023 filtering completed in 2 passes
  134. Sun Aug 06 21:59:42 2023 matrix is 6637205 x 6637380 (2879.7 MB) with weight 883467064 (133.10/col)
  135. Sun Aug 06 21:59:42 2023 sparse part has weight 681890915 (102.73/col)
  136. Sun Aug 06 22:00:00 2023 matrix starts at (0, 0)
  137. Sun Aug 06 22:00:01 2023 matrix is 6637205 x 6637380 (2879.7 MB) with weight 883467064 (133.10/col)
  138. Sun Aug 06 22:00:01 2023 sparse part has weight 681890915 (102.73/col)
  139. Sun Aug 06 22:00:01 2023 saving the first 240 matrix rows for later
  140. Sun Aug 06 22:00:04 2023 matrix includes 256 packed rows
  141. Sun Aug 06 22:00:06 2023 matrix is 6636965 x 6637380 (2611.6 MB) with weight 618615027 (93.20/col)
  142. Sun Aug 06 22:00:06 2023 sparse part has weight 578406086 (87.14/col)
  143. Sun Aug 06 22:00:06 2023 using block size 8192 and superblock size 196608 for processor cache size 8192 kB
  144. Sun Aug 06 22:00:25 2023 commencing Lanczos iteration (8 threads)
  145. Sun Aug 06 22:00:25 2023 memory use: 3672.6 MB
  146. Sun Aug 06 22:00:53 2023 linear algebra at 0.0%, ETA 28h51m
  147. Sun Aug 06 22:01:01 2023 checkpointing every 240000 dimensions
  148. Tue Aug 08 02:56:16 2023 lanczos halted after 26005 iterations (dim = 6636963)
  149. Tue Aug 08 02:57:07 2023 recovered 28 nontrivial dependencies
  150. Tue Aug 08 02:57:09 2023 BLanczosTime: 104832
  151. Tue Aug 08 02:57:09 2023
  152. Tue Aug 08 02:57:09 2023 commencing square root phase
  153. Tue Aug 08 02:57:09 2023 handling dependencies 1 to 64
  154. Tue Aug 08 02:57:09 2023 reading relations for dependency 1
  155. Tue Aug 08 02:57:10 2023 read 3320198 cycles
  156. Tue Aug 08 02:57:17 2023 cycles contain 10642214 unique relations
  157. Tue Aug 08 02:58:41 2023 read 10642214 relations
  158. Tue Aug 08 02:59:29 2023 multiplying 10642214 relations
  159. Tue Aug 08 03:12:51 2023 multiply complete, coefficients have about 603.99 million bits
  160. Tue Aug 08 03:12:56 2023 initial square root is modulo 262253
  161. Tue Aug 08 03:28:39 2023 GCD is N, no factor found
  162. Tue Aug 08 03:28:39 2023 reading relations for dependency 2
  163. Tue Aug 08 03:28:41 2023 read 3318757 cycles
  164. Tue Aug 08 03:28:46 2023 cycles contain 10639926 unique relations
  165. Tue Aug 08 03:30:02 2023 read 10639926 relations
  166. Tue Aug 08 03:30:50 2023 multiplying 10639926 relations
  167. Tue Aug 08 03:44:09 2023 multiply complete, coefficients have about 603.85 million bits
  168. Tue Aug 08 03:44:14 2023 initial square root is modulo 261523
  169. Tue Aug 08 03:59:38 2023 GCD is 1, no factor found
  170. Tue Aug 08 03:59:38 2023 reading relations for dependency 3
  171. Tue Aug 08 03:59:40 2023 read 3318274 cycles
  172. Tue Aug 08 03:59:45 2023 cycles contain 10642536 unique relations
  173. Tue Aug 08 04:01:00 2023 read 10642536 relations
  174. Tue Aug 08 04:01:49 2023 multiplying 10642536 relations
  175. Tue Aug 08 04:15:10 2023 multiply complete, coefficients have about 604.00 million bits
  176. Tue Aug 08 04:15:14 2023 initial square root is modulo 262349
  177. Tue Aug 08 04:30:58 2023 sqrtTime: 5629
  178. Tue Aug 08 04:30:58 2023 p60 factor: 255505578857342724715327215149058081689532520142744977009243
  179. Tue Aug 08 04:30:58 2023 p111 factor: 731611682941808308034153275698799003093319405041414931580894758752912423968453109985773793909827282028727417089
  180. Tue Aug 08 04:30:58 2023 elapsed time 31:25:56
  181.  
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