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Aug 14th, 2024
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  1. Wed Aug 14 00:46:11 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed Aug 14 00:46:11 2024 random seeds: cfe1ed2c 6888cfd5
  3. Wed Aug 14 00:46:11 2024 MPI process 0 of 1
  4. Wed Aug 14 00:46:11 2024 Using 32 OpenMP threads
  5. Wed Aug 14 00:46:11 2024 factoring 702251006993477287286568468173520630681774716267969114122014137988224521861806576375278033786300459301970528588901597784529811087831633731454714417593652743562331421469 (168 digits)
  6. Wed Aug 14 00:46:12 2024 searching for 15-digit factors
  7. Wed Aug 14 00:46:13 2024 commencing number field sieve (168-digit input)
  8. Wed Aug 14 00:46:13 2024 R0: -463015661615875966588210053530801
  9. Wed Aug 14 00:46:13 2024 R1: 174256066208352949
  10. Wed Aug 14 00:46:13 2024 A0: 110907007186811821874714033670211300200696
  11. Wed Aug 14 00:46:13 2024 A1: 31271253295256428160521274443142566
  12. Wed Aug 14 00:46:13 2024 A2: -4843017045319368813762935281
  13. Wed Aug 14 00:46:13 2024 A3: 12601444363861664266
  14. Wed Aug 14 00:46:13 2024 A4: 4814462007698
  15. Wed Aug 14 00:46:13 2024 A5: 33000
  16. Wed Aug 14 00:46:13 2024 skew 31037554.46, size 2.119e-16, alpha -6.787, combined = 4.486e-13 rroots = 5
  17. Wed Aug 14 00:46:13 2024
  18. Wed Aug 14 00:46:13 2024 commencing relation filtering
  19. Wed Aug 14 00:46:13 2024 setting target matrix density to 120.0
  20. Wed Aug 14 00:46:13 2024 estimated available RAM is 257736.5 MB
  21. Wed Aug 14 00:46:13 2024 commencing duplicate removal, pass 1
  22. Wed Aug 14 00:52:16 2024 error -1 reading relation 139204638
  23. Wed Aug 14 00:54:01 2024 error -1 reading relation 179087878
  24. Wed Aug 14 00:54:38 2024 error -1 reading relation 192710700
  25. Wed Aug 14 00:54:39 2024 error -1 reading relation 193415024
  26. Wed Aug 14 00:55:26 2024 error -1 reading relation 212176939
  27. Wed Aug 14 00:55:38 2024 error -1 reading relation 216778705
  28. Wed Aug 14 00:56:31 2024 error -1 reading relation 236821323
  29. Wed Aug 14 00:56:53 2024 error -1 reading relation 245146528
  30. Wed Aug 14 00:57:03 2024 error -1 reading relation 249003453
  31. Wed Aug 14 00:57:16 2024 error -1 reading relation 253833069
  32. Wed Aug 14 00:57:30 2024 error -1 reading relation 259025183
  33. Wed Aug 14 00:57:30 2024 error -1 reading relation 259025214
  34. Wed Aug 14 00:58:14 2024 error -1 reading relation 275387102
  35. Wed Aug 14 00:58:29 2024 error -1 reading relation 280719643
  36. Wed Aug 14 00:58:30 2024 error -1 reading relation 280814014
  37. Wed Aug 14 00:58:33 2024 error -1 reading relation 281960719
  38. Wed Aug 14 00:58:35 2024 error -1 reading relation 282695566
  39. Wed Aug 14 00:58:40 2024 error -1 reading relation 284428193
  40. Wed Aug 14 00:58:41 2024 error -1 reading relation 284939748
  41. Wed Aug 14 00:59:18 2024 skipped 165 malformed relations
  42. Wed Aug 14 00:59:18 2024 found 65172625 hash collisions in 300340822 relations
  43. Wed Aug 14 00:59:52 2024 commencing duplicate removal, pass 2
  44. Wed Aug 14 01:07:36 2024 found 70587655 duplicates and 229753167 unique relations
  45. Wed Aug 14 01:07:36 2024 memory use: 1705.5 MB
  46. Wed Aug 14 01:07:36 2024 reading ideals above 720000
  47. Wed Aug 14 01:07:36 2024 commencing singleton removal, initial pass
  48. Wed Aug 14 01:34:58 2024 memory use: 6024.0 MB
  49. Wed Aug 14 01:34:58 2024 reading all ideals from disk
  50. Wed Aug 14 01:35:04 2024 memory use: 10612.4 MB
  51. Wed Aug 14 01:35:36 2024 keeping 226301587 ideals with weight <= 200, target excess is 1133440
  52. Wed Aug 14 01:36:18 2024 commencing in-memory singleton removal
  53. Wed Aug 14 01:36:23 2024 begin with 229753167 relations and 226301587 unique ideals
  54. Wed Aug 14 01:36:44 2024 reduce to 120519001 relations and 103046708 ideals in 17 passes
  55. Wed Aug 14 01:36:44 2024 max relations containing the same ideal: 140
  56. Wed Aug 14 01:37:35 2024 removing 12665301 relations and 10665301 ideals in 2000000 cliques
  57. Wed Aug 14 01:37:41 2024 commencing in-memory singleton removal
  58. Wed Aug 14 01:37:43 2024 begin with 107853700 relations and 103046708 unique ideals
  59. Wed Aug 14 01:37:52 2024 reduce to 106808608 relations and 91314085 ideals in 10 passes
  60. Wed Aug 14 01:37:52 2024 max relations containing the same ideal: 129
  61. Wed Aug 14 01:38:43 2024 removing 9679592 relations and 7679592 ideals in 2000000 cliques
  62. Wed Aug 14 01:38:48 2024 commencing in-memory singleton removal
  63. Wed Aug 14 01:38:50 2024 begin with 97129016 relations and 91314085 unique ideals
  64. Wed Aug 14 01:38:57 2024 reduce to 96409285 relations and 82900840 ideals in 9 passes
  65. Wed Aug 14 01:38:57 2024 max relations containing the same ideal: 122
  66. Wed Aug 14 01:39:36 2024 removing 8795103 relations and 6795103 ideals in 2000000 cliques
  67. Wed Aug 14 01:39:40 2024 commencing in-memory singleton removal
  68. Wed Aug 14 01:39:42 2024 begin with 87614182 relations and 82900840 unique ideals
  69. Wed Aug 14 01:39:47 2024 reduce to 86949104 relations and 75427476 ideals in 8 passes
  70. Wed Aug 14 01:39:47 2024 max relations containing the same ideal: 115
  71. Wed Aug 14 01:40:21 2024 removing 8373697 relations and 6373697 ideals in 2000000 cliques
  72. Wed Aug 14 01:40:24 2024 commencing in-memory singleton removal
  73. Wed Aug 14 01:40:26 2024 begin with 78575407 relations and 75427476 unique ideals
  74. Wed Aug 14 01:40:30 2024 reduce to 77906583 relations and 68370953 ideals in 9 passes
  75. Wed Aug 14 01:40:30 2024 max relations containing the same ideal: 106
  76. Wed Aug 14 01:40:59 2024 removing 8155881 relations and 6155881 ideals in 2000000 cliques
  77. Wed Aug 14 01:41:02 2024 commencing in-memory singleton removal
  78. Wed Aug 14 01:41:03 2024 begin with 69750702 relations and 68370953 unique ideals
  79. Wed Aug 14 01:41:07 2024 reduce to 69046170 relations and 61494201 ideals in 8 passes
  80. Wed Aug 14 01:41:07 2024 max relations containing the same ideal: 94
  81. Wed Aug 14 01:41:33 2024 removing 8048194 relations and 6048194 ideals in 2000000 cliques
  82. Wed Aug 14 01:41:36 2024 commencing in-memory singleton removal
  83. Wed Aug 14 01:41:37 2024 begin with 60997976 relations and 61494201 unique ideals
  84. Wed Aug 14 01:41:40 2024 reduce to 60218566 relations and 54646522 ideals in 9 passes
  85. Wed Aug 14 01:41:40 2024 max relations containing the same ideal: 89
  86. Wed Aug 14 01:42:04 2024 removing 8038959 relations and 6038959 ideals in 2000000 cliques
  87. Wed Aug 14 01:42:07 2024 commencing in-memory singleton removal
  88. Wed Aug 14 01:42:07 2024 begin with 52179607 relations and 54646522 unique ideals
  89. Wed Aug 14 01:42:11 2024 reduce to 51280651 relations and 47682113 ideals in 10 passes
  90. Wed Aug 14 01:42:11 2024 max relations containing the same ideal: 84
  91. Wed Aug 14 01:42:30 2024 removing 8104526 relations and 6104526 ideals in 2000000 cliques
  92. Wed Aug 14 01:42:33 2024 commencing in-memory singleton removal
  93. Wed Aug 14 01:42:33 2024 begin with 43176125 relations and 47682113 unique ideals
  94. Wed Aug 14 01:42:36 2024 reduce to 42077783 relations and 40441771 ideals in 10 passes
  95. Wed Aug 14 01:42:36 2024 max relations containing the same ideal: 72
  96. Wed Aug 14 01:42:52 2024 removing 2016199 relations and 1694978 ideals in 321221 cliques
  97. Wed Aug 14 01:42:54 2024 commencing in-memory singleton removal
  98. Wed Aug 14 01:42:54 2024 begin with 40061584 relations and 40441771 unique ideals
  99. Wed Aug 14 01:42:56 2024 reduce to 39992658 relations and 38677339 ideals in 7 passes
  100. Wed Aug 14 01:42:56 2024 max relations containing the same ideal: 70
  101. Wed Aug 14 01:43:16 2024 relations with 0 large ideals: 4130
  102. Wed Aug 14 01:43:16 2024 relations with 1 large ideals: 37233
  103. Wed Aug 14 01:43:16 2024 relations with 2 large ideals: 470022
  104. Wed Aug 14 01:43:16 2024 relations with 3 large ideals: 2460397
  105. Wed Aug 14 01:43:16 2024 relations with 4 large ideals: 6798960
  106. Wed Aug 14 01:43:16 2024 relations with 5 large ideals: 10909646
  107. Wed Aug 14 01:43:16 2024 relations with 6 large ideals: 10584154
  108. Wed Aug 14 01:43:16 2024 relations with 7+ large ideals: 8728116
  109. Wed Aug 14 01:43:16 2024 commencing 2-way merge
  110. Wed Aug 14 01:43:39 2024 reduce to 23911657 relation sets and 22596338 unique ideals
  111. Wed Aug 14 01:43:39 2024 commencing full merge
  112. Wed Aug 14 01:50:38 2024 memory use: 2686.9 MB
  113. Wed Aug 14 01:50:40 2024 found 10439630 cycles, need 10368538
  114. Wed Aug 14 01:50:42 2024 weight of 10368538 cycles is about 1244309754 (120.01/cycle)
  115. Wed Aug 14 01:50:42 2024 distribution of cycle lengths:
  116. Wed Aug 14 01:50:42 2024 1 relations: 718537
  117. Wed Aug 14 01:50:42 2024 2 relations: 724393
  118. Wed Aug 14 01:50:42 2024 3 relations: 738691
  119. Wed Aug 14 01:50:42 2024 4 relations: 717328
  120. Wed Aug 14 01:50:42 2024 5 relations: 715799
  121. Wed Aug 14 01:50:42 2024 6 relations: 685684
  122. Wed Aug 14 01:50:42 2024 7 relations: 670242
  123. Wed Aug 14 01:50:42 2024 8 relations: 634838
  124. Wed Aug 14 01:50:42 2024 9 relations: 605200
  125. Wed Aug 14 01:50:42 2024 10+ relations: 4157826
  126. Wed Aug 14 01:50:42 2024 heaviest cycle: 28 relations
  127. Wed Aug 14 01:50:45 2024 commencing cycle optimization
  128. Wed Aug 14 01:51:04 2024 start with 91445783 relations
  129. Wed Aug 14 01:53:57 2024 pruned 3494402 relations
  130. Wed Aug 14 01:53:57 2024 memory use: 2556.8 MB
  131. Wed Aug 14 01:53:57 2024 distribution of cycle lengths:
  132. Wed Aug 14 01:53:57 2024 1 relations: 718537
  133. Wed Aug 14 01:53:57 2024 2 relations: 742071
  134. Wed Aug 14 01:53:57 2024 3 relations: 766746
  135. Wed Aug 14 01:53:57 2024 4 relations: 742456
  136. Wed Aug 14 01:53:57 2024 5 relations: 744121
  137. Wed Aug 14 01:53:57 2024 6 relations: 712323
  138. Wed Aug 14 01:53:57 2024 7 relations: 697158
  139. Wed Aug 14 01:53:57 2024 8 relations: 658498
  140. Wed Aug 14 01:53:57 2024 9 relations: 627378
  141. Wed Aug 14 01:53:57 2024 10+ relations: 3959250
  142. Wed Aug 14 01:53:57 2024 heaviest cycle: 28 relations
  143. Wed Aug 14 01:54:11 2024 RelProcTime: 4078
  144. Wed Aug 14 01:54:11 2024 elapsed time 01:08:00
  145. Wed Aug 14 17:24:24 2024
  146. Wed Aug 14 17:24:24 2024
  147. Wed Aug 14 17:24:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  148. Wed Aug 14 17:24:24 2024 random seeds: fb2dd66c b4c884d7
  149. Wed Aug 14 17:24:24 2024 MPI process 0 of 1
  150. Wed Aug 14 17:24:24 2024 Using 64 OpenMP threads
  151. Wed Aug 14 17:24:24 2024 factoring 702251006993477287286568468173520630681774716267969114122014137988224521861806576375278033786300459301970528588901597784529811087831633731454714417593652743562331421469 (168 digits)
  152. Wed Aug 14 17:24:24 2024 searching for 15-digit factors
  153. Wed Aug 14 17:24:25 2024 commencing number field sieve (168-digit input)
  154. Wed Aug 14 17:24:25 2024 R0: -463015661615875966588210053530801
  155. Wed Aug 14 17:24:25 2024 R1: 174256066208352949
  156. Wed Aug 14 17:24:25 2024 A0: 110907007186811821874714033670211300200696
  157. Wed Aug 14 17:24:25 2024 A1: 31271253295256428160521274443142566
  158. Wed Aug 14 17:24:25 2024 A2: -4843017045319368813762935281
  159. Wed Aug 14 17:24:25 2024 A3: 12601444363861664266
  160. Wed Aug 14 17:24:25 2024 A4: 4814462007698
  161. Wed Aug 14 17:24:25 2024 A5: 33000
  162. Wed Aug 14 17:24:25 2024 skew 31037554.46, size 2.119e-16, alpha -6.787, combined = 4.486e-13 rroots = 5
  163. Wed Aug 14 17:24:25 2024
  164. Wed Aug 14 17:24:25 2024 commencing linear algebra
  165. Wed Aug 14 17:24:25 2024 using VBITS=256
  166. Wed Aug 14 17:24:25 2024 initialized process (0,0) of 1 x 1 grid
  167. Wed Aug 14 17:24:26 2024 read 10368538 cycles
  168. Wed Aug 14 17:24:43 2024 cycles contain 39087133 unique relations
  169. Wed Aug 14 17:28:48 2024 read 39087133 relations
  170. Wed Aug 14 17:28:51 2024 using 20 quadratic characters above 4294917295
  171. Wed Aug 14 17:28:54 2024 building initial matrix
  172. Wed Aug 14 17:35:50 2024 memory use: 5370.3 MB
  173. Wed Aug 14 17:35:58 2024 read 10368538 cycles
  174. Wed Aug 14 17:35:59 2024 matrix is 10368359 x 10368538 (4909.5 MB) with weight 1504351447 (145.09/col)
  175. Wed Aug 14 17:35:59 2024 sparse part has weight 1162583729 (112.13/col)
  176. Wed Aug 14 17:38:20 2024 filtering completed in 2 passes
  177. Wed Aug 14 17:38:22 2024 matrix is 10367248 x 10367424 (4909.4 MB) with weight 1504293176 (145.10/col)
  178. Wed Aug 14 17:38:22 2024 sparse part has weight 1162564990 (112.14/col)
  179. Wed Aug 14 17:39:20 2024 matrix starts at (0, 0)
  180. Wed Aug 14 17:39:22 2024 matrix is 10367248 x 10367424 (4909.4 MB) with weight 1504293176 (145.10/col)
  181. Wed Aug 14 17:39:22 2024 sparse part has weight 1162564990 (112.14/col)
  182. Wed Aug 14 17:39:22 2024 saving the first 240 matrix rows for later
  183. Wed Aug 14 17:39:24 2024 matrix includes 256 packed rows
  184. Wed Aug 14 17:39:28 2024 matrix is 10367008 x 10367424 (4456.2 MB) with weight 1068855668 (103.10/col)
  185. Wed Aug 14 17:39:28 2024 sparse part has weight 1002294339 (96.68/col)
  186. Wed Aug 14 17:39:28 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Wed Aug 14 17:39:50 2024 commencing Lanczos iteration (64 threads)
  188. Wed Aug 14 17:39:50 2024 memory use: 6419.7 MB
  189. Wed Aug 14 17:41:27 2024 linear algebra at 0.3%, ETA 9h 0m
  190. Wed Aug 14 17:43:48 2024 checking every 10000 dimensions, checkpointing every 1170000 dimensions
  191. Thu Aug 15 01:59:59 2024 lanczos halted after 40620 iterations (dim = 10367006)
  192. Thu Aug 15 02:00:49 2024 recovered 29 nontrivial dependencies
  193. Thu Aug 15 02:00:51 2024 BLanczosTime: 30986
  194. Thu Aug 15 02:00:51 2024
  195. Thu Aug 15 02:00:51 2024 commencing square root phase
  196. Thu Aug 15 02:00:51 2024 reading relations for dependency 1
  197. Thu Aug 15 02:00:52 2024 read 5184950 cycles
  198. Thu Aug 15 02:01:10 2024 cycles contain 19548136 unique relations
  199. Thu Aug 15 02:06:12 2024 read 19548136 relations
  200. Thu Aug 15 02:07:44 2024 multiplying 19548136 relations
  201. Thu Aug 15 02:11:15 2024 multiply complete, coefficients have about 1040.49 million bits
  202. Thu Aug 15 02:11:19 2024 initial square root is modulo 2161616423
  203. Thu Aug 15 02:21:32 2024 sqrtTime: 1241
  204. Thu Aug 15 02:21:32 2024 p53 factor: 17050031079893938109370557048529542463200082916406569
  205. Thu Aug 15 02:21:32 2024 p116 factor: 41187667265991032383937208438173753903903504826121974570154337410616848348382301217529742382231836102393850985382101
  206. Thu Aug 15 02:21:32 2024 elapsed time 08:57:08
  207.  
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