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Dec 31st, 2024
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  1. Tue Dec 31 08:57:33 2024
  2. Tue Dec 31 08:57:33 2024
  3. Tue Dec 31 08:57:33 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 31 08:57:33 2024 random seeds: 80647512 1629e7e8
  5. Tue Dec 31 08:57:33 2024 MPI process 0 of 1
  6. Tue Dec 31 08:57:33 2024 Using 32 OpenMP threads
  7. Tue Dec 31 08:57:33 2024 factoring 140128190482708396232713591990631771790970950765510126444444317032718100694865064463924754173215680219399388003748642690939514309831236035873609911085851996922721455829 (168 digits)
  8. Tue Dec 31 08:57:33 2024 searching for 15-digit factors
  9. Tue Dec 31 08:57:33 2024 commencing number field sieve (168-digit input)
  10. Tue Dec 31 08:57:33 2024 R0: -221100838159131612464382953709668
  11. Tue Dec 31 08:57:33 2024 R1: 148274577707106737
  12. Tue Dec 31 08:57:33 2024 A0: -3792370744306558296891614459307853903455
  13. Tue Dec 31 08:57:33 2024 A1: 2340231933528636330438815383576821
  14. Tue Dec 31 08:57:33 2024 A2: -299358671198342105349959019
  15. Tue Dec 31 08:57:33 2024 A3: -23149779993575533997
  16. Tue Dec 31 08:57:33 2024 A4: 45082715916850
  17. Tue Dec 31 08:57:33 2024 A5: 265200
  18. Tue Dec 31 08:57:33 2024 skew 6720773.06, size 2.320e-16, alpha -7.113, combined = 4.683e-13 rroots = 3
  19. Tue Dec 31 08:57:33 2024
  20. Tue Dec 31 08:57:33 2024 commencing relation filtering
  21. Tue Dec 31 08:57:33 2024 setting target matrix density to 120.0
  22. Tue Dec 31 08:57:33 2024 estimated available RAM is 257736.5 MB
  23. Tue Dec 31 08:57:33 2024 commencing duplicate removal, pass 1
  24. Tue Dec 31 08:58:13 2024 error -1 reading relation 25626373
  25. Tue Dec 31 08:59:18 2024 error -1 reading relation 68002831
  26. Tue Dec 31 08:59:51 2024 error -5 reading relation 89333898
  27. Tue Dec 31 09:01:14 2024 error -15 reading relation 144722868
  28. Tue Dec 31 09:01:27 2024 error -1 reading relation 153165097
  29. Tue Dec 31 09:02:23 2024 error -1 reading relation 190999981
  30. Tue Dec 31 09:02:28 2024 error -1 reading relation 194687097
  31. Tue Dec 31 09:02:34 2024 error -1 reading relation 198386874
  32. Tue Dec 31 09:02:52 2024 error -1 reading relation 210464551
  33. Tue Dec 31 09:02:55 2024 error -1 reading relation 213057126
  34. Tue Dec 31 09:03:23 2024 error -1 reading relation 231330215
  35. Tue Dec 31 09:03:25 2024 error -1 reading relation 232977973
  36. Tue Dec 31 09:03:26 2024 error -1 reading relation 233666320
  37. Tue Dec 31 09:03:34 2024 error -1 reading relation 238756875
  38. Tue Dec 31 09:04:09 2024 error -1 reading relation 262827147
  39. Tue Dec 31 09:04:12 2024 error -15 reading relation 264445729
  40. Tue Dec 31 09:04:12 2024 error -15 reading relation 264698151
  41. Tue Dec 31 09:04:13 2024 error -1 reading relation 265530520
  42. Tue Dec 31 09:04:16 2024 error -1 reading relation 267367433
  43. Tue Dec 31 09:04:21 2024 skipped 177 malformed relations
  44. Tue Dec 31 09:04:21 2024 found 55229774 hash collisions in 270724393 relations
  45. Tue Dec 31 09:04:43 2024 commencing duplicate removal, pass 2
  46. Tue Dec 31 09:10:09 2024 found 55166269 duplicates and 215558124 unique relations
  47. Tue Dec 31 09:10:09 2024 memory use: 1449.5 MB
  48. Tue Dec 31 09:10:09 2024 reading ideals above 720000
  49. Tue Dec 31 09:10:09 2024 commencing singleton removal, initial pass
  50. Tue Dec 31 09:23:42 2024 memory use: 6024.0 MB
  51. Tue Dec 31 09:23:43 2024 reading all ideals from disk
  52. Tue Dec 31 09:23:50 2024 memory use: 9950.5 MB
  53. Tue Dec 31 09:24:23 2024 keeping 220304687 ideals with weight <= 200, target excess is 1057261
  54. Tue Dec 31 09:25:08 2024 commencing in-memory singleton removal
  55. Tue Dec 31 09:25:12 2024 begin with 215558124 relations and 220304687 unique ideals
  56. Tue Dec 31 09:25:32 2024 reduce to 102319283 relations and 91115744 ideals in 18 passes
  57. Tue Dec 31 09:25:32 2024 max relations containing the same ideal: 128
  58. Tue Dec 31 09:26:29 2024 removing 8431850 relations and 7431850 ideals in 1000000 cliques
  59. Tue Dec 31 09:26:34 2024 commencing in-memory singleton removal
  60. Tue Dec 31 09:26:35 2024 begin with 93887433 relations and 91115744 unique ideals
  61. Tue Dec 31 09:26:42 2024 reduce to 93322751 relations and 83111526 ideals in 10 passes
  62. Tue Dec 31 09:26:42 2024 max relations containing the same ideal: 123
  63. Tue Dec 31 09:27:31 2024 removing 6305346 relations and 5305346 ideals in 1000000 cliques
  64. Tue Dec 31 09:27:36 2024 commencing in-memory singleton removal
  65. Tue Dec 31 09:27:38 2024 begin with 87017405 relations and 83111526 unique ideals
  66. Tue Dec 31 09:27:44 2024 reduce to 86654893 relations and 77439452 ideals in 9 passes
  67. Tue Dec 31 09:27:44 2024 max relations containing the same ideal: 120
  68. Tue Dec 31 09:28:18 2024 removing 5650090 relations and 4650090 ideals in 1000000 cliques
  69. Tue Dec 31 09:28:21 2024 commencing in-memory singleton removal
  70. Tue Dec 31 09:28:23 2024 begin with 81004803 relations and 77439452 unique ideals
  71. Tue Dec 31 09:28:28 2024 reduce to 80689655 relations and 72470563 ideals in 9 passes
  72. Tue Dec 31 09:28:28 2024 max relations containing the same ideal: 112
  73. Tue Dec 31 09:29:00 2024 removing 5308897 relations and 4308897 ideals in 1000000 cliques
  74. Tue Dec 31 09:29:03 2024 commencing in-memory singleton removal
  75. Tue Dec 31 09:29:04 2024 begin with 75380758 relations and 72470563 unique ideals
  76. Tue Dec 31 09:29:09 2024 reduce to 75080963 relations and 67858364 ideals in 9 passes
  77. Tue Dec 31 09:29:09 2024 max relations containing the same ideal: 107
  78. Tue Dec 31 09:29:47 2024 removing 5101608 relations and 4101608 ideals in 1000000 cliques
  79. Tue Dec 31 09:29:50 2024 commencing in-memory singleton removal
  80. Tue Dec 31 09:29:51 2024 begin with 69979355 relations and 67858364 unique ideals
  81. Tue Dec 31 09:29:56 2024 reduce to 69681424 relations and 63455171 ideals in 10 passes
  82. Tue Dec 31 09:29:56 2024 max relations containing the same ideal: 101
  83. Tue Dec 31 09:30:26 2024 removing 4968953 relations and 3968953 ideals in 1000000 cliques
  84. Tue Dec 31 09:30:29 2024 commencing in-memory singleton removal
  85. Tue Dec 31 09:30:30 2024 begin with 64712471 relations and 63455171 unique ideals
  86. Tue Dec 31 09:30:34 2024 reduce to 64405641 relations and 59175302 ideals in 8 passes
  87. Tue Dec 31 09:30:34 2024 max relations containing the same ideal: 94
  88. Tue Dec 31 09:31:00 2024 removing 4892777 relations and 3892777 ideals in 1000000 cliques
  89. Tue Dec 31 09:31:02 2024 commencing in-memory singleton removal
  90. Tue Dec 31 09:31:03 2024 begin with 59512864 relations and 59175302 unique ideals
  91. Tue Dec 31 09:31:06 2024 reduce to 59189479 relations and 54954571 ideals in 8 passes
  92. Tue Dec 31 09:31:06 2024 max relations containing the same ideal: 93
  93. Tue Dec 31 09:31:31 2024 removing 4853710 relations and 3853710 ideals in 1000000 cliques
  94. Tue Dec 31 09:31:33 2024 commencing in-memory singleton removal
  95. Tue Dec 31 09:31:34 2024 begin with 54335769 relations and 54954571 unique ideals
  96. Tue Dec 31 09:31:38 2024 reduce to 53988030 relations and 50748033 ideals in 9 passes
  97. Tue Dec 31 09:31:38 2024 max relations containing the same ideal: 86
  98. Tue Dec 31 09:32:01 2024 removing 4844455 relations and 3844455 ideals in 1000000 cliques
  99. Tue Dec 31 09:32:03 2024 commencing in-memory singleton removal
  100. Tue Dec 31 09:32:04 2024 begin with 49143575 relations and 50748033 unique ideals
  101. Tue Dec 31 09:32:07 2024 reduce to 48760407 relations and 46514147 ideals in 8 passes
  102. Tue Dec 31 09:32:07 2024 max relations containing the same ideal: 77
  103. Tue Dec 31 09:32:27 2024 removing 4876191 relations and 3876191 ideals in 1000000 cliques
  104. Tue Dec 31 09:32:29 2024 commencing in-memory singleton removal
  105. Tue Dec 31 09:32:30 2024 begin with 43884216 relations and 46514147 unique ideals
  106. Tue Dec 31 09:32:33 2024 reduce to 43447624 relations and 42193567 ideals in 8 passes
  107. Tue Dec 31 09:32:33 2024 max relations containing the same ideal: 72
  108. Tue Dec 31 09:32:51 2024 removing 259847 relations and 232213 ideals in 27634 cliques
  109. Tue Dec 31 09:32:52 2024 commencing in-memory singleton removal
  110. Tue Dec 31 09:32:53 2024 begin with 43187777 relations and 42193567 unique ideals
  111. Tue Dec 31 09:32:55 2024 reduce to 43186615 relations and 41960192 ideals in 6 passes
  112. Tue Dec 31 09:32:55 2024 max relations containing the same ideal: 72
  113. Tue Dec 31 09:32:59 2024 relations with 0 large ideals: 3924
  114. Tue Dec 31 09:32:59 2024 relations with 1 large ideals: 29248
  115. Tue Dec 31 09:32:59 2024 relations with 2 large ideals: 387974
  116. Tue Dec 31 09:32:59 2024 relations with 3 large ideals: 2170953
  117. Tue Dec 31 09:32:59 2024 relations with 4 large ideals: 6472804
  118. Tue Dec 31 09:32:59 2024 relations with 5 large ideals: 11279400
  119. Tue Dec 31 09:32:59 2024 relations with 6 large ideals: 11901672
  120. Tue Dec 31 09:32:59 2024 relations with 7+ large ideals: 10940640
  121. Tue Dec 31 09:32:59 2024 commencing 2-way merge
  122. Tue Dec 31 09:33:29 2024 reduce to 25511872 relation sets and 24285449 unique ideals
  123. Tue Dec 31 09:33:29 2024 commencing full merge
  124. Tue Dec 31 09:41:57 2024 memory use: 2825.3 MB
  125. Tue Dec 31 09:41:59 2024 found 10956793 cycles, need 10937649
  126. Tue Dec 31 09:42:02 2024 weight of 10937649 cycles is about 1312598534 (120.01/cycle)
  127. Tue Dec 31 09:42:02 2024 distribution of cycle lengths:
  128. Tue Dec 31 09:42:02 2024 1 relations: 906995
  129. Tue Dec 31 09:42:02 2024 2 relations: 796782
  130. Tue Dec 31 09:42:02 2024 3 relations: 786165
  131. Tue Dec 31 09:42:02 2024 4 relations: 753620
  132. Tue Dec 31 09:42:02 2024 5 relations: 738634
  133. Tue Dec 31 09:42:02 2024 6 relations: 706265
  134. Tue Dec 31 09:42:02 2024 7 relations: 670376
  135. Tue Dec 31 09:42:02 2024 8 relations: 637248
  136. Tue Dec 31 09:42:02 2024 9 relations: 601977
  137. Tue Dec 31 09:42:02 2024 10+ relations: 4339587
  138. Tue Dec 31 09:42:02 2024 heaviest cycle: 28 relations
  139. Tue Dec 31 09:42:04 2024 commencing cycle optimization
  140. Tue Dec 31 09:42:26 2024 start with 96500350 relations
  141. Tue Dec 31 09:45:50 2024 pruned 3475320 relations
  142. Tue Dec 31 09:45:50 2024 memory use: 2729.5 MB
  143. Tue Dec 31 09:45:50 2024 distribution of cycle lengths:
  144. Tue Dec 31 09:45:50 2024 1 relations: 906995
  145. Tue Dec 31 09:45:50 2024 2 relations: 816282
  146. Tue Dec 31 09:45:50 2024 3 relations: 815442
  147. Tue Dec 31 09:45:50 2024 4 relations: 778451
  148. Tue Dec 31 09:45:51 2024 5 relations: 766192
  149. Tue Dec 31 09:45:51 2024 6 relations: 729695
  150. Tue Dec 31 09:45:51 2024 7 relations: 694646
  151. Tue Dec 31 09:45:51 2024 8 relations: 657463
  152. Tue Dec 31 09:45:51 2024 9 relations: 620332
  153. Tue Dec 31 09:45:51 2024 10+ relations: 4152151
  154. Tue Dec 31 09:45:51 2024 heaviest cycle: 28 relations
  155. Tue Dec 31 09:46:08 2024 RelProcTime: 2915
  156. Tue Dec 31 09:46:08 2024
  157. Tue Dec 31 09:46:08 2024 commencing linear algebra
  158. Tue Dec 31 09:46:08 2024 using VBITS=256
  159. Tue Dec 31 09:46:08 2024 stopping after matrix build
  160. Tue Dec 31 09:46:08 2024 initialized process (0,0) of 1 x 1 grid
  161. Tue Dec 31 09:46:09 2024 read 10937649 cycles
  162. Tue Dec 31 09:46:28 2024 cycles contain 42243815 unique relations
  163. Tue Dec 31 09:50:59 2024 read 42243815 relations
  164. Tue Dec 31 09:51:04 2024 using 20 quadratic characters above 4294917295
  165. Tue Dec 31 09:51:10 2024 building initial matrix
  166. Tue Dec 31 09:58:57 2024 memory use: 5702.5 MB
  167. Tue Dec 31 09:59:06 2024 read 10937649 cycles
  168. Tue Dec 31 09:59:07 2024 matrix is 10937471 x 10937649 (5189.6 MB) with weight 1573714694 (143.88/col)
  169. Tue Dec 31 09:59:07 2024 sparse part has weight 1229176060 (112.38/col)
  170. Tue Dec 31 10:01:19 2024 filtering completed in 2 passes
  171. Tue Dec 31 10:01:21 2024 matrix is 10936797 x 10936974 (5189.6 MB) with weight 1573683424 (143.89/col)
  172. Tue Dec 31 10:01:21 2024 sparse part has weight 1229168338 (112.39/col)
  173. Tue Dec 31 10:02:27 2024 BLanczosTime: 979
  174. Tue Dec 31 10:02:27 2024 elapsed time 01:04:54
  175. Tue Dec 31 11:19:07 2024
  176. Tue Dec 31 11:19:07 2024
  177. Tue Dec 31 11:19:07 2024 Msieve v. 1.54 (SVN Unversioned directory)
  178. Tue Dec 31 11:19:07 2024 random seeds: f013711c 6210dac0
  179. Tue Dec 31 11:19:07 2024 MPI process 0 of 1
  180. Tue Dec 31 11:19:07 2024 Using 64 OpenMP threads
  181. Tue Dec 31 11:19:07 2024 factoring 140128190482708396232713591990631771790970950765510126444444317032718100694865064463924754173215680219399388003748642690939514309831236035873609911085851996922721455829 (168 digits)
  182. Tue Dec 31 11:19:07 2024 searching for 15-digit factors
  183. Tue Dec 31 11:19:08 2024 commencing number field sieve (168-digit input)
  184. Tue Dec 31 11:19:08 2024 R0: -221100838159131612464382953709668
  185. Tue Dec 31 11:19:08 2024 R1: 148274577707106737
  186. Tue Dec 31 11:19:08 2024 A0: -3792370744306558296891614459307853903455
  187. Tue Dec 31 11:19:08 2024 A1: 2340231933528636330438815383576821
  188. Tue Dec 31 11:19:08 2024 A2: -299358671198342105349959019
  189. Tue Dec 31 11:19:08 2024 A3: -23149779993575533997
  190. Tue Dec 31 11:19:08 2024 A4: 45082715916850
  191. Tue Dec 31 11:19:08 2024 A5: 265200
  192. Tue Dec 31 11:19:08 2024 skew 6720773.06, size 2.320e-16, alpha -7.113, combined = 4.683e-13 rroots = 3
  193. Tue Dec 31 11:19:08 2024
  194. Tue Dec 31 11:19:08 2024 commencing linear algebra
  195. Tue Dec 31 11:19:08 2024 using VBITS=256
  196. Tue Dec 31 11:19:08 2024 skipping matrix build
  197. Tue Dec 31 11:19:08 2024 initialized process (0,0) of 1 x 1 grid
  198. Tue Dec 31 11:19:15 2024 matrix starts at (0, 0)
  199. Tue Dec 31 11:19:18 2024 matrix is 10936797 x 10936974 (5189.6 MB) with weight 1573683424 (143.89/col)
  200. Tue Dec 31 11:19:18 2024 sparse part has weight 1229168338 (112.39/col)
  201. Tue Dec 31 11:19:18 2024 saving the first 240 matrix rows for later
  202. Tue Dec 31 11:19:22 2024 matrix includes 256 packed rows
  203. Tue Dec 31 11:19:28 2024 matrix is 10936557 x 10936974 (4689.5 MB) with weight 1124706275 (102.84/col)
  204. Tue Dec 31 11:19:28 2024 sparse part has weight 1054331948 (96.40/col)
  205. Tue Dec 31 11:19:28 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  206. Tue Dec 31 11:20:02 2024 commencing Lanczos iteration (64 threads)
  207. Tue Dec 31 11:20:02 2024 memory use: 6764.8 MB
  208. Tue Dec 31 11:27:31 2024 linear algebra at 0.3%, ETA 44h 7m
  209. Tue Dec 31 11:38:28 2024 checking every 10000 dimensions, checkpointing every 260000 dimensions
  210. Tue Dec 31 20:51:28 2024 lanczos halted after 42851 iterations (dim = 10936557)
  211. Tue Dec 31 20:52:05 2024 recovered 30 nontrivial dependencies
  212. Tue Dec 31 20:52:06 2024 BLanczosTime: 34378
  213. Tue Dec 31 20:52:06 2024
  214. Tue Dec 31 20:52:06 2024 commencing square root phase
  215. Tue Dec 31 20:52:06 2024 handling dependencies 1 to 64
  216. Tue Dec 31 20:52:06 2024 reading relations for dependency 1
  217. Tue Dec 31 20:52:07 2024 read 5469375 cycles
  218. Tue Dec 31 20:52:17 2024 cycles contain 21121324 unique relations
  219. Tue Dec 31 20:56:05 2024 read 21121324 relations
  220. Tue Dec 31 20:57:24 2024 multiplying 21121324 relations
  221. Tue Dec 31 20:59:32 2024 multiply complete, coefficients have about 1214.49 million bits
  222. Tue Dec 31 20:59:35 2024 initial square root is modulo 280513
  223. Tue Dec 31 21:10:20 2024 GCD is N, no factor found
  224. Tue Dec 31 21:10:20 2024 reading relations for dependency 2
  225. Tue Dec 31 21:10:21 2024 read 5469426 cycles
  226. Tue Dec 31 21:10:32 2024 cycles contain 21117124 unique relations
  227. Tue Dec 31 21:14:35 2024 read 21117124 relations
  228. Tue Dec 31 21:16:00 2024 multiplying 21117124 relations
  229. Tue Dec 31 21:19:27 2024 multiply complete, coefficients have about 1214.25 million bits
  230. Tue Dec 31 21:19:32 2024 initial square root is modulo 279847
  231. Tue Dec 31 21:31:19 2024 GCD is 1, no factor found
  232. Tue Dec 31 21:31:19 2024 reading relations for dependency 3
  233. Tue Dec 31 21:31:20 2024 read 5466111 cycles
  234. Tue Dec 31 21:31:31 2024 cycles contain 21117152 unique relations
  235. Tue Dec 31 21:35:37 2024 read 21117152 relations
  236. Tue Dec 31 21:37:02 2024 multiplying 21117152 relations
  237. Tue Dec 31 21:40:31 2024 multiply complete, coefficients have about 1214.27 million bits
  238. Tue Dec 31 21:40:35 2024 initial square root is modulo 279847
  239. Tue Dec 31 21:49:48 2024 sqrtTime: 3462
  240. Tue Dec 31 21:49:48 2024 p56 factor: 34031176723173457917048486619521355570088574422789911073
  241. Tue Dec 31 21:49:48 2024 p112 factor: 4117641644383351600919214284106117217968187804554163239341589159316365780859488693177377119540236409725211307573
  242. Tue Dec 31 21:49:48 2024 elapsed time 10:30:41
  243.  
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