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Apr 7th, 2024
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  1. Wed Apr 3 12:56:25 2024
  2. Wed Apr 3 12:56:25 2024
  3. Wed Apr 3 12:56:25 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 3 12:56:25 2024 random seeds: 3d79e1ed b298e478
  5. Wed Apr 3 12:56:25 2024 Using 32 OpenMP threads
  6. Wed Apr 3 12:56:25 2024 factoring 8458238631044841282277156410512600986383821014363236245768515177608902804774786004208546433151699334785039872533816223623928786548154586038965750714027998210887 (160 digits)
  7. Wed Apr 3 12:56:26 2024 searching for 15-digit factors
  8. Wed Apr 3 12:56:26 2024 commencing number field sieve (160-digit input)
  9. Wed Apr 3 12:56:26 2024 R0: -13573173247604541352852597699853
  10. Wed Apr 3 12:56:26 2024 R1: 75868529645053711
  11. Wed Apr 3 12:56:26 2024 A0: -27621387205662231608700604860621483173892
  12. Wed Apr 3 12:56:26 2024 A1: 10019877865971898008712528085469720
  13. Wed Apr 3 12:56:26 2024 A2: -1270330633548372671580832121
  14. Wed Apr 3 12:56:26 2024 A3: 26895544677831193670
  15. Wed Apr 3 12:56:26 2024 A4: 2227754262588
  16. Wed Apr 3 12:56:26 2024 A5: 18360
  17. Wed Apr 3 12:56:26 2024 skew 25602479.67, size 1.456e-15, alpha -8.020, combined = 1.389e-12 rroots = 3
  18. Wed Apr 3 12:56:26 2024
  19. Wed Apr 3 12:56:26 2024 commencing relation filtering
  20. Wed Apr 3 12:56:26 2024 setting target matrix density to 130.0
  21. Wed Apr 3 12:56:26 2024 estimated available RAM is 515996.3 MB
  22. Wed Apr 3 12:56:26 2024 commencing duplicate removal, pass 1
  23. Wed Apr 3 12:57:25 2024 error -1 reading relation 25774105
  24. Wed Apr 3 12:58:07 2024 error -1 reading relation 43429789
  25. Wed Apr 3 12:58:09 2024 error -1 reading relation 44259307
  26. Wed Apr 3 12:58:15 2024 error -1 reading relation 46800056
  27. Wed Apr 3 12:58:24 2024 error -1 reading relation 50264714
  28. Wed Apr 3 12:58:35 2024 error -1 reading relation 55990061
  29. Wed Apr 3 12:58:36 2024 error -1 reading relation 56304901
  30. Wed Apr 3 12:58:47 2024 error -1 reading relation 62413885
  31. Wed Apr 3 12:58:53 2024 error -15 reading relation 65222393
  32. Wed Apr 3 12:58:58 2024 error -1 reading relation 67691615
  33. Wed Apr 3 12:59:05 2024 error -1 reading relation 71428192
  34. Wed Apr 3 12:59:06 2024 error -15 reading relation 71887566
  35. Wed Apr 3 12:59:26 2024 error -1 reading relation 82522492
  36. Wed Apr 3 12:59:33 2024 error -1 reading relation 85990516
  37. Wed Apr 3 12:59:37 2024 error -1 reading relation 88433988
  38. Wed Apr 3 13:00:35 2024 skipped 90 malformed relations
  39. Wed Apr 3 13:00:35 2024 found 22953991 hash collisions in 119845442 relations
  40. Wed Apr 3 13:01:01 2024 added 122116 free relations
  41. Wed Apr 3 13:01:01 2024 commencing duplicate removal, pass 2
  42. Wed Apr 3 13:03:47 2024 found 21966085 duplicates and 98001473 unique relations
  43. Wed Apr 3 13:03:47 2024 memory use: 660.8 MB
  44. Wed Apr 3 13:03:47 2024 reading ideals above 720000
  45. Wed Apr 3 13:03:48 2024 commencing singleton removal, initial pass
  46. Wed Apr 3 13:09:23 2024 memory use: 2756.0 MB
  47. Wed Apr 3 13:09:23 2024 reading all ideals from disk
  48. Wed Apr 3 13:09:25 2024 memory use: 4393.1 MB
  49. Wed Apr 3 13:09:36 2024 keeping 89394936 ideals with weight <= 200, target excess is 509220
  50. Wed Apr 3 13:09:48 2024 commencing in-memory singleton removal
  51. Wed Apr 3 13:09:50 2024 begin with 98001473 relations and 89394936 unique ideals
  52. Wed Apr 3 13:09:58 2024 reduce to 62605579 relations and 50302306 ideals in 14 passes
  53. Wed Apr 3 13:09:58 2024 max relations containing the same ideal: 157
  54. Wed Apr 3 13:10:21 2024 removing 8856334 relations and 6856334 ideals in 2000000 cliques
  55. Wed Apr 3 13:10:24 2024 commencing in-memory singleton removal
  56. Wed Apr 3 13:10:25 2024 begin with 53749245 relations and 50302306 unique ideals
  57. Wed Apr 3 13:10:29 2024 reduce to 52790577 relations and 42450096 ideals in 9 passes
  58. Wed Apr 3 13:10:29 2024 max relations containing the same ideal: 144
  59. Wed Apr 3 13:10:47 2024 removing 6978234 relations and 4978234 ideals in 2000000 cliques
  60. Wed Apr 3 13:10:50 2024 commencing in-memory singleton removal
  61. Wed Apr 3 13:10:51 2024 begin with 45812343 relations and 42450096 unique ideals
  62. Wed Apr 3 13:10:53 2024 reduce to 45116758 relations and 36750550 ideals in 8 passes
  63. Wed Apr 3 13:10:53 2024 max relations containing the same ideal: 129
  64. Wed Apr 3 13:11:08 2024 removing 6478972 relations and 4478972 ideals in 2000000 cliques
  65. Wed Apr 3 13:11:10 2024 commencing in-memory singleton removal
  66. Wed Apr 3 13:11:11 2024 begin with 38637786 relations and 36750550 unique ideals
  67. Wed Apr 3 13:11:13 2024 reduce to 37979267 relations and 31586588 ideals in 8 passes
  68. Wed Apr 3 13:11:13 2024 max relations containing the same ideal: 116
  69. Wed Apr 3 13:11:26 2024 removing 6235997 relations and 4235997 ideals in 2000000 cliques
  70. Wed Apr 3 13:11:28 2024 commencing in-memory singleton removal
  71. Wed Apr 3 13:11:28 2024 begin with 31743270 relations and 31586588 unique ideals
  72. Wed Apr 3 13:11:30 2024 reduce to 31057305 relations and 26632386 ideals in 8 passes
  73. Wed Apr 3 13:11:30 2024 max relations containing the same ideal: 101
  74. Wed Apr 3 13:11:40 2024 removing 6101257 relations and 4101257 ideals in 2000000 cliques
  75. Wed Apr 3 13:11:42 2024 commencing in-memory singleton removal
  76. Wed Apr 3 13:11:42 2024 begin with 24956048 relations and 26632386 unique ideals
  77. Wed Apr 3 13:11:43 2024 reduce to 24185539 relations and 21717083 ideals in 8 passes
  78. Wed Apr 3 13:11:43 2024 max relations containing the same ideal: 85
  79. Wed Apr 3 13:11:52 2024 removing 5708373 relations and 3830613 ideals in 1877760 cliques
  80. Wed Apr 3 13:11:53 2024 commencing in-memory singleton removal
  81. Wed Apr 3 13:11:53 2024 begin with 18477166 relations and 21717083 unique ideals
  82. Wed Apr 3 13:11:54 2024 reduce to 17624295 relations and 16975160 ideals in 9 passes
  83. Wed Apr 3 13:11:54 2024 max relations containing the same ideal: 70
  84. Wed Apr 3 13:12:00 2024 removing 355023 relations and 296584 ideals in 58439 cliques
  85. Wed Apr 3 13:12:01 2024 commencing in-memory singleton removal
  86. Wed Apr 3 13:12:01 2024 begin with 17269272 relations and 16975160 unique ideals
  87. Wed Apr 3 13:12:02 2024 reduce to 17264469 relations and 16673754 ideals in 6 passes
  88. Wed Apr 3 13:12:02 2024 max relations containing the same ideal: 70
  89. Wed Apr 3 13:12:04 2024 relations with 0 large ideals: 1624
  90. Wed Apr 3 13:12:04 2024 relations with 1 large ideals: 10408
  91. Wed Apr 3 13:12:04 2024 relations with 2 large ideals: 139635
  92. Wed Apr 3 13:12:04 2024 relations with 3 large ideals: 805248
  93. Wed Apr 3 13:12:04 2024 relations with 4 large ideals: 2445922
  94. Wed Apr 3 13:12:04 2024 relations with 5 large ideals: 4322966
  95. Wed Apr 3 13:12:04 2024 relations with 6 large ideals: 4705958
  96. Wed Apr 3 13:12:04 2024 relations with 7+ large ideals: 4832708
  97. Wed Apr 3 13:12:04 2024 commencing 2-way merge
  98. Wed Apr 3 13:12:12 2024 reduce to 11217470 relation sets and 10626755 unique ideals
  99. Wed Apr 3 13:12:12 2024 commencing full merge
  100. Wed Apr 3 13:15:49 2024 memory use: 1369.1 MB
  101. Wed Apr 3 13:15:50 2024 found 4930337 cycles, need 4912955
  102. Wed Apr 3 13:15:51 2024 weight of 4912955 cycles is about 639018296 (130.07/cycle)
  103. Wed Apr 3 13:15:51 2024 distribution of cycle lengths:
  104. Wed Apr 3 13:15:51 2024 1 relations: 121765
  105. Wed Apr 3 13:15:51 2024 2 relations: 252094
  106. Wed Apr 3 13:15:51 2024 3 relations: 314902
  107. Wed Apr 3 13:15:51 2024 4 relations: 335859
  108. Wed Apr 3 13:15:51 2024 5 relations: 353451
  109. Wed Apr 3 13:15:51 2024 6 relations: 355859
  110. Wed Apr 3 13:15:51 2024 7 relations: 352991
  111. Wed Apr 3 13:15:51 2024 8 relations: 340704
  112. Wed Apr 3 13:15:51 2024 9 relations: 322523
  113. Wed Apr 3 13:15:51 2024 10+ relations: 2162807
  114. Wed Apr 3 13:15:51 2024 heaviest cycle: 28 relations
  115. Wed Apr 3 13:15:53 2024 commencing cycle optimization
  116. Wed Apr 3 13:16:03 2024 start with 46923768 relations
  117. Wed Apr 3 13:17:55 2024 pruned 2402686 relations
  118. Wed Apr 3 13:17:55 2024 memory use: 1196.1 MB
  119. Wed Apr 3 13:17:55 2024 distribution of cycle lengths:
  120. Wed Apr 3 13:17:55 2024 1 relations: 121765
  121. Wed Apr 3 13:17:55 2024 2 relations: 259624
  122. Wed Apr 3 13:17:55 2024 3 relations: 330356
  123. Wed Apr 3 13:17:55 2024 4 relations: 352085
  124. Wed Apr 3 13:17:55 2024 5 relations: 373731
  125. Wed Apr 3 13:17:55 2024 6 relations: 376286
  126. Wed Apr 3 13:17:55 2024 7 relations: 374181
  127. Wed Apr 3 13:17:55 2024 8 relations: 359946
  128. Wed Apr 3 13:17:55 2024 9 relations: 340046
  129. Wed Apr 3 13:17:55 2024 10+ relations: 2024935
  130. Wed Apr 3 13:17:55 2024 heaviest cycle: 28 relations
  131. Wed Apr 3 13:18:02 2024 RelProcTime: 1296
  132. Wed Apr 3 13:18:02 2024 elapsed time 00:21:37
  133. Wed Apr 3 13:18:26 2024
  134. Wed Apr 3 13:18:26 2024
  135. Wed Apr 3 13:18:26 2024 Msieve v. 1.54 (SVN Unversioned directory)
  136. Wed Apr 3 13:18:26 2024 random seeds: fbabecf3 66dfb58a
  137. Wed Apr 3 13:18:26 2024 Using 64 OpenMP threads
  138. Wed Apr 3 13:18:26 2024 factoring 8458238631044841282277156410512600986383821014363236245768515177608902804774786004208546433151699334785039872533816223623928786548154586038965750714027998210887 (160 digits)
  139. Wed Apr 3 13:18:27 2024 searching for 15-digit factors
  140. Wed Apr 3 13:18:27 2024 commencing number field sieve (160-digit input)
  141. Wed Apr 3 13:18:27 2024 R0: -13573173247604541352852597699853
  142. Wed Apr 3 13:18:27 2024 R1: 75868529645053711
  143. Wed Apr 3 13:18:27 2024 A0: -27621387205662231608700604860621483173892
  144. Wed Apr 3 13:18:27 2024 A1: 10019877865971898008712528085469720
  145. Wed Apr 3 13:18:27 2024 A2: -1270330633548372671580832121
  146. Wed Apr 3 13:18:27 2024 A3: 26895544677831193670
  147. Wed Apr 3 13:18:27 2024 A4: 2227754262588
  148. Wed Apr 3 13:18:27 2024 A5: 18360
  149. Wed Apr 3 13:18:27 2024 skew 25602479.67, size 1.456e-15, alpha -8.020, combined = 1.389e-12 rroots = 3
  150. Wed Apr 3 13:18:27 2024
  151. Wed Apr 3 13:18:27 2024 commencing linear algebra
  152. Wed Apr 3 13:18:27 2024 using VBITS=256
  153. Wed Apr 3 13:18:29 2024 read 4912955 cycles
  154. Wed Apr 3 13:18:44 2024 cycles contain 16946628 unique relations
  155. Wed Apr 3 13:21:07 2024 read 16946628 relations
  156. Wed Apr 3 13:21:09 2024 using 20 quadratic characters above 4294917295
  157. Wed Apr 3 13:21:11 2024 building initial matrix
  158. Wed Apr 3 13:24:31 2024 memory use: 2306.9 MB
  159. Wed Apr 3 13:24:33 2024 read 4912955 cycles
  160. Wed Apr 3 13:24:34 2024 matrix is 4912777 x 4912955 (2470.3 MB) with weight 756079477 (153.90/col)
  161. Wed Apr 3 13:24:34 2024 sparse part has weight 588616071 (119.81/col)
  162. Wed Apr 3 13:25:31 2024 filtering completed in 2 passes
  163. Wed Apr 3 13:25:33 2024 matrix is 4912714 x 4912892 (2470.3 MB) with weight 756075850 (153.90/col)
  164. Wed Apr 3 13:25:33 2024 sparse part has weight 588614726 (119.81/col)
  165. Wed Apr 3 13:25:49 2024 matrix starts at (0, 0)
  166. Wed Apr 3 13:25:50 2024 matrix is 4912714 x 4912892 (2470.3 MB) with weight 756075850 (153.90/col)
  167. Wed Apr 3 13:25:50 2024 sparse part has weight 588614726 (119.81/col)
  168. Wed Apr 3 13:25:50 2024 saving the first 240 matrix rows for later
  169. Wed Apr 3 13:25:52 2024 matrix includes 256 packed rows
  170. Wed Apr 3 13:25:53 2024 matrix is 4912474 x 4912892 (2208.3 MB) with weight 536537449 (109.21/col)
  171. Wed Apr 3 13:25:53 2024 sparse part has weight 500294424 (101.83/col)
  172. Wed Apr 3 13:25:53 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  173. Wed Apr 3 13:26:06 2024 commencing Lanczos iteration (64 threads)
  174. Wed Apr 3 13:26:06 2024 memory use: 2969.9 MB
  175. Wed Apr 3 13:27:31 2024 linear algebra at 0.6%, ETA 3h40m
  176. Wed Apr 3 13:28:39 2024 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  177. Wed Apr 3 15:24:27 2024 lanczos halted after 19249 iterations (dim = 4912473)
  178. Wed Apr 3 15:24:46 2024 recovered 30 nontrivial dependencies
  179. Wed Apr 3 15:24:47 2024 BLanczosTime: 7580
  180. Wed Apr 3 15:24:47 2024
  181. Wed Apr 3 15:24:47 2024 commencing square root phase
  182. Wed Apr 3 15:24:47 2024 reading relations for dependency 1
  183. Wed Apr 3 15:24:47 2024 read 2458272 cycles
  184. Wed Apr 3 15:24:51 2024 cycles contain 8475252 unique relations
  185. Wed Apr 3 15:26:37 2024 read 8475252 relations
  186. Wed Apr 3 15:27:04 2024 multiplying 8475252 relations
  187. Wed Apr 3 15:30:35 2024 multiply complete, coefficients have about 439.03 million bits
  188. Wed Apr 3 15:30:36 2024 initial square root is modulo 75449347
  189. Wed Apr 3 15:33:08 2024 sqrtTime: 501
  190. Wed Apr 3 15:33:08 2024 p74 factor: 25907292629875139853124264258204945510446596115680069397376286616488692087
  191. Wed Apr 3 15:33:08 2024 p87 factor: 326480993281836634237703541415756365564215637992822564848486870343073354054698775732401
  192. Wed Apr 3 15:33:08 2024 elapsed time 02:14:42
  193.  
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