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Jan 11th, 2025
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  1. Wed Jan 8 14:57:34 2025
  2. Wed Jan 8 14:57:34 2025
  3. Wed Jan 8 14:57:34 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jan 8 14:57:34 2025 random seeds: 6802927b 348fc6d3
  5. Wed Jan 8 14:57:34 2025 MPI process 0 of 1
  6. Wed Jan 8 14:57:34 2025 Using 32 OpenMP threads
  7. Wed Jan 8 14:57:34 2025 factoring 840927795086388168046348625314530841406918036190892704817991037075172771611422740053220214181274114726758946877602887204058899603802137274749953475971691361716975255619 (168 digits)
  8. Wed Jan 8 14:57:35 2025 searching for 15-digit factors
  9. Wed Jan 8 14:57:35 2025 commencing number field sieve (168-digit input)
  10. Wed Jan 8 14:57:35 2025 R0: -310426296715140667221903374243261
  11. Wed Jan 8 14:57:35 2025 R1: 896934907912790761
  12. Wed Jan 8 14:57:35 2025 A0: -83929932419033402697407426706393170683296
  13. Wed Jan 8 14:57:35 2025 A1: 2139234075478331697955014562638436
  14. Wed Jan 8 14:57:35 2025 A2: -9345581317246119254773640259
  15. Wed Jan 8 14:57:35 2025 A3: -357448796863010126634
  16. Wed Jan 8 14:57:35 2025 A4: -3989904260548
  17. Wed Jan 8 14:57:35 2025 A5: 291720
  18. Wed Jan 8 14:57:35 2025 skew 24120821.48, size 1.920e-16, alpha -7.987, combined = 4.241e-13 rroots = 1
  19. Wed Jan 8 14:57:35 2025
  20. Wed Jan 8 14:57:35 2025 commencing relation filtering
  21. Wed Jan 8 14:57:35 2025 setting target matrix density to 110.0
  22. Wed Jan 8 14:57:35 2025 estimated available RAM is 257736.5 MB
  23. Wed Jan 8 14:57:35 2025 commencing duplicate removal, pass 1
  24. Wed Jan 8 14:59:50 2025 error -5 reading relation 49564247
  25. Wed Jan 8 15:01:45 2025 error -1 reading relation 92434589
  26. Wed Jan 8 15:02:37 2025 error -1 reading relation 114166019
  27. Wed Jan 8 15:04:20 2025 error -1 reading relation 155478004
  28. Wed Jan 8 15:04:53 2025 error -1 reading relation 167613473
  29. Wed Jan 8 15:05:15 2025 error -1 reading relation 175218462
  30. Wed Jan 8 15:05:32 2025 error -1 reading relation 180829578
  31. Wed Jan 8 15:05:38 2025 error -1 reading relation 183057823
  32. Wed Jan 8 15:06:27 2025 error -1 reading relation 201729355
  33. Wed Jan 8 15:06:29 2025 error -1 reading relation 202548569
  34. Wed Jan 8 15:06:30 2025 error -1 reading relation 202747271
  35. Wed Jan 8 15:06:46 2025 error -1 reading relation 208513724
  36. Wed Jan 8 15:06:49 2025 error -1 reading relation 209665795
  37. Wed Jan 8 15:07:03 2025 error -1 reading relation 214729973
  38. Wed Jan 8 15:07:04 2025 error -1 reading relation 215470907
  39. Wed Jan 8 15:07:07 2025 error -1 reading relation 216618537
  40. Wed Jan 8 15:07:28 2025 error -1 reading relation 224714163
  41. Wed Jan 8 15:08:05 2025 error -1 reading relation 238932587
  42. Wed Jan 8 15:08:45 2025 error -1 reading relation 254033404
  43. Wed Jan 8 15:08:47 2025 error -1 reading relation 254863447
  44. Wed Jan 8 15:08:47 2025 error -1 reading relation 254863595
  45. Wed Jan 8 15:08:48 2025 error -1 reading relation 255122731
  46. Wed Jan 8 15:08:53 2025 error -1 reading relation 257257193
  47. Wed Jan 8 15:08:53 2025 error -1 reading relation 257258298
  48. Wed Jan 8 15:08:55 2025 error -1 reading relation 257674542
  49. Wed Jan 8 15:09:05 2025 error -1 reading relation 261779797
  50. Wed Jan 8 15:09:06 2025 error -1 reading relation 262080551
  51. Wed Jan 8 15:09:06 2025 error -1 reading relation 262221272
  52. Wed Jan 8 15:09:07 2025 error -15 reading relation 262440555
  53. Wed Jan 8 15:09:12 2025 error -1 reading relation 264531726
  54. Wed Jan 8 15:09:15 2025 skipped 1 relations with composite factors
  55. Wed Jan 8 15:09:15 2025 skipped 202 malformed relations
  56. Wed Jan 8 15:09:15 2025 found 55730264 hash collisions in 265688511 relations
  57. Wed Jan 8 15:09:47 2025 added 122503 free relations
  58. Wed Jan 8 15:09:47 2025 commencing duplicate removal, pass 2
  59. Wed Jan 8 15:17:11 2025 found 60426811 duplicates and 205384203 unique relations
  60. Wed Jan 8 15:17:11 2025 memory use: 1705.5 MB
  61. Wed Jan 8 15:17:12 2025 reading ideals above 720000
  62. Wed Jan 8 15:17:12 2025 commencing singleton removal, initial pass
  63. Wed Jan 8 15:41:07 2025 memory use: 6024.0 MB
  64. Wed Jan 8 15:41:08 2025 reading all ideals from disk
  65. Wed Jan 8 15:41:14 2025 memory use: 9494.2 MB
  66. Wed Jan 8 15:41:49 2025 keeping 217104825 ideals with weight <= 200, target excess is 1009606
  67. Wed Jan 8 15:42:38 2025 commencing in-memory singleton removal
  68. Wed Jan 8 15:42:41 2025 begin with 205384203 relations and 217104825 unique ideals
  69. Wed Jan 8 15:43:01 2025 reduce to 88573827 relations and 82781108 ideals in 21 passes
  70. Wed Jan 8 15:43:01 2025 max relations containing the same ideal: 121
  71. Wed Jan 8 15:44:08 2025 removing 9259452 relations and 8259452 ideals in 1000000 cliques
  72. Wed Jan 8 15:44:12 2025 commencing in-memory singleton removal
  73. Wed Jan 8 15:44:14 2025 begin with 79314375 relations and 82781108 unique ideals
  74. Wed Jan 8 15:44:20 2025 reduce to 78446978 relations and 73640388 ideals in 11 passes
  75. Wed Jan 8 15:44:20 2025 max relations containing the same ideal: 111
  76. Wed Jan 8 15:45:15 2025 removing 6971971 relations and 5971971 ideals in 1000000 cliques
  77. Wed Jan 8 15:45:19 2025 commencing in-memory singleton removal
  78. Wed Jan 8 15:45:20 2025 begin with 71475007 relations and 73640388 unique ideals
  79. Wed Jan 8 15:45:26 2025 reduce to 70902192 relations and 67087473 ideals in 9 passes
  80. Wed Jan 8 15:45:26 2025 max relations containing the same ideal: 107
  81. Wed Jan 8 15:46:23 2025 removing 6278363 relations and 5278363 ideals in 1000000 cliques
  82. Wed Jan 8 15:46:26 2025 commencing in-memory singleton removal
  83. Wed Jan 8 15:46:27 2025 begin with 64623829 relations and 67087473 unique ideals
  84. Wed Jan 8 15:46:33 2025 reduce to 64101172 relations and 61279132 ideals in 13 passes
  85. Wed Jan 8 15:46:33 2025 max relations containing the same ideal: 98
  86. Wed Jan 8 15:47:07 2025 removing 5957008 relations and 4957008 ideals in 1000000 cliques
  87. Wed Jan 8 15:47:10 2025 commencing in-memory singleton removal
  88. Wed Jan 8 15:47:11 2025 begin with 58144164 relations and 61279132 unique ideals
  89. Wed Jan 8 15:47:15 2025 reduce to 57619534 relations and 55789425 ideals in 10 passes
  90. Wed Jan 8 15:47:15 2025 max relations containing the same ideal: 92
  91. Wed Jan 8 15:47:42 2025 removing 4176850 relations and 3517884 ideals in 658966 cliques
  92. Wed Jan 8 15:47:44 2025 commencing in-memory singleton removal
  93. Wed Jan 8 15:47:45 2025 begin with 53442684 relations and 55789425 unique ideals
  94. Wed Jan 8 15:47:48 2025 reduce to 53164694 relations and 51990454 ideals in 8 passes
  95. Wed Jan 8 15:47:48 2025 max relations containing the same ideal: 87
  96. Wed Jan 8 15:48:26 2025 relations with 0 large ideals: 3688
  97. Wed Jan 8 15:48:26 2025 relations with 1 large ideals: 24304
  98. Wed Jan 8 15:48:26 2025 relations with 2 large ideals: 343196
  99. Wed Jan 8 15:48:26 2025 relations with 3 large ideals: 2077441
  100. Wed Jan 8 15:48:26 2025 relations with 4 large ideals: 6799637
  101. Wed Jan 8 15:48:26 2025 relations with 5 large ideals: 13056469
  102. Wed Jan 8 15:48:26 2025 relations with 6 large ideals: 15171206
  103. Wed Jan 8 15:48:26 2025 relations with 7+ large ideals: 15688753
  104. Wed Jan 8 15:48:26 2025 commencing 2-way merge
  105. Wed Jan 8 15:49:24 2025 reduce to 31008557 relation sets and 29834316 unique ideals
  106. Wed Jan 8 15:49:24 2025 commencing full merge
  107. Wed Jan 8 16:05:58 2025 memory use: 3293.0 MB
  108. Wed Jan 8 16:06:05 2025 found 13508700 cycles, need 13484516
  109. Wed Jan 8 16:06:12 2025 weight of 13484516 cycles is about 1483307653 (110.00/cycle)
  110. Wed Jan 8 16:06:12 2025 distribution of cycle lengths:
  111. Wed Jan 8 16:06:12 2025 1 relations: 1320083
  112. Wed Jan 8 16:06:12 2025 2 relations: 1114452
  113. Wed Jan 8 16:06:12 2025 3 relations: 1088243
  114. Wed Jan 8 16:06:12 2025 4 relations: 1031158
  115. Wed Jan 8 16:06:12 2025 5 relations: 984566
  116. Wed Jan 8 16:06:12 2025 6 relations: 897184
  117. Wed Jan 8 16:06:12 2025 7 relations: 848577
  118. Wed Jan 8 16:06:12 2025 8 relations: 771496
  119. Wed Jan 8 16:06:12 2025 9 relations: 696250
  120. Wed Jan 8 16:06:12 2025 10+ relations: 4732507
  121. Wed Jan 8 16:06:12 2025 heaviest cycle: 28 relations
  122. Wed Jan 8 16:06:18 2025 commencing cycle optimization
  123. Wed Jan 8 16:07:14 2025 start with 110207597 relations
  124. Wed Jan 8 16:14:09 2025 pruned 3353845 relations
  125. Wed Jan 8 16:14:11 2025 memory use: 3266.7 MB
  126. Wed Jan 8 16:14:11 2025 distribution of cycle lengths:
  127. Wed Jan 8 16:14:11 2025 1 relations: 1320083
  128. Wed Jan 8 16:14:11 2025 2 relations: 1142592
  129. Wed Jan 8 16:14:11 2025 3 relations: 1128318
  130. Wed Jan 8 16:14:11 2025 4 relations: 1060904
  131. Wed Jan 8 16:14:11 2025 5 relations: 1015385
  132. Wed Jan 8 16:14:11 2025 6 relations: 921770
  133. Wed Jan 8 16:14:11 2025 7 relations: 867502
  134. Wed Jan 8 16:14:11 2025 8 relations: 784130
  135. Wed Jan 8 16:14:11 2025 9 relations: 709298
  136. Wed Jan 8 16:14:11 2025 10+ relations: 4534534
  137. Wed Jan 8 16:14:11 2025 heaviest cycle: 28 relations
  138. Wed Jan 8 16:15:00 2025 RelProcTime: 4645
  139. Wed Jan 8 16:15:00 2025
  140. Wed Jan 8 16:15:00 2025 commencing linear algebra
  141. Wed Jan 8 16:15:00 2025 using VBITS=256
  142. Wed Jan 8 16:15:00 2025 stopping after matrix build
  143. Wed Jan 8 16:15:00 2025 initialized process (0,0) of 1 x 1 grid
  144. Wed Jan 8 16:15:02 2025 read 13484516 cycles
  145. Wed Jan 8 16:15:50 2025 cycles contain 52027939 unique relations
  146. Wed Jan 8 16:20:57 2025 read 52027939 relations
  147. Wed Jan 8 16:21:04 2025 using 20 quadratic characters above 4294917295
  148. Wed Jan 8 16:21:13 2025 building initial matrix
  149. Wed Jan 8 16:39:05 2025 memory use: 7046.7 MB
  150. Wed Jan 8 16:39:22 2025 read 13484516 cycles
  151. Wed Jan 8 16:39:27 2025 matrix is 13484338 x 13484516 (5967.3 MB) with weight 1853340640 (137.44/col)
  152. Wed Jan 8 16:39:27 2025 sparse part has weight 1402469113 (104.01/col)
  153. Wed Jan 8 16:44:03 2025 filtering completed in 2 passes
  154. Wed Jan 8 16:44:09 2025 matrix is 13482264 x 13482440 (5967.1 MB) with weight 1853236361 (137.46/col)
  155. Wed Jan 8 16:44:09 2025 sparse part has weight 1402442522 (104.02/col)
  156. Wed Jan 8 16:45:48 2025 BLanczosTime: 1848
  157. Wed Jan 8 16:45:48 2025 elapsed time 01:48:14
  158. Thu Jan 9 23:20:32 2025
  159. Thu Jan 9 23:20:32 2025
  160. Thu Jan 9 23:20:32 2025 Msieve v. 1.54 (SVN Unversioned directory)
  161. Thu Jan 9 23:20:32 2025 random seeds: 0ae13abd b55bbb41
  162. Thu Jan 9 23:20:32 2025 Using 96 OpenMP threads
  163. Thu Jan 9 23:20:32 2025 factoring 840927795086388168046348625314530841406918036190892704817991037075172771611422740053220214181274114726758946877602887204058899603802137274749953475971691361716975255619 (168 digits)
  164. Thu Jan 9 23:20:33 2025 searching for 15-digit factors
  165. Thu Jan 9 23:20:33 2025 commencing number field sieve (168-digit input)
  166. Thu Jan 9 23:20:33 2025 R0: -310426296715140667221903374243261
  167. Thu Jan 9 23:20:33 2025 R1: 896934907912790761
  168. Thu Jan 9 23:20:33 2025 A0: -83929932419033402697407426706393170683296
  169. Thu Jan 9 23:20:33 2025 A1: 2139234075478331697955014562638436
  170. Thu Jan 9 23:20:33 2025 A2: -9345581317246119254773640259
  171. Thu Jan 9 23:20:33 2025 A3: -357448796863010126634
  172. Thu Jan 9 23:20:33 2025 A4: -3989904260548
  173. Thu Jan 9 23:20:33 2025 A5: 291720
  174. Thu Jan 9 23:20:33 2025 skew 24120821.48, size 1.920e-16, alpha -7.987, combined = 4.241e-13 rroots = 1
  175. Thu Jan 9 23:20:33 2025
  176. Thu Jan 9 23:20:33 2025 commencing linear algebra
  177. Thu Jan 9 23:20:33 2025 using VBITS=256
  178. Thu Jan 9 23:20:33 2025 skipping matrix build
  179. Thu Jan 9 23:20:36 2025 matrix starts at (0, 0)
  180. Thu Jan 9 23:20:38 2025 matrix is 13482264 x 13482440 (5967.1 MB) with weight 1853236361 (137.46/col)
  181. Thu Jan 9 23:20:38 2025 sparse part has weight 1402442522 (104.02/col)
  182. Thu Jan 9 23:20:38 2025 saving the first 240 matrix rows for later
  183. Thu Jan 9 23:20:40 2025 matrix includes 256 packed rows
  184. Thu Jan 9 23:20:44 2025 matrix is 13482024 x 13482440 (5426.2 MB) with weight 1288615377 (95.58/col)
  185. Thu Jan 9 23:20:44 2025 sparse part has weight 1206734354 (89.50/col)
  186. Thu Jan 9 23:20:44 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Thu Jan 9 23:21:10 2025 commencing Lanczos iteration (96 threads)
  188. Thu Jan 9 23:21:10 2025 memory use: 7615.3 MB
  189. Thu Jan 9 23:22:50 2025 linear algebra at 0.2%, ETA 11h57m
  190. Thu Jan 9 23:25:07 2025 checking every 10000 dimensions, checkpointing every 1180000 dimensions
  191. Fri Jan 10 10:23:17 2025 lanczos halted after 52824 iterations (dim = 13482024)
  192. Fri Jan 10 10:24:03 2025 recovered 33 nontrivial dependencies
  193. Fri Jan 10 10:24:05 2025 BLanczosTime: 39812
  194. Fri Jan 10 10:24:05 2025
  195. Fri Jan 10 10:24:05 2025 commencing square root phase
  196. Fri Jan 10 10:24:05 2025 handling dependencies 1 to 64
  197. Fri Jan 10 10:24:05 2025 reading relations for dependency 1
  198. Fri Jan 10 10:24:06 2025 read 6741895 cycles
  199. Fri Jan 10 10:24:17 2025 cycles contain 26013258 unique relations
  200. Fri Jan 10 10:28:01 2025 read 26013258 relations
  201. Fri Jan 10 10:29:25 2025 multiplying 26013258 relations
  202. Fri Jan 10 10:41:42 2025 multiply complete, coefficients have about 1436.69 million bits
  203. Fri Jan 10 10:41:46 2025 initial square root is modulo 2783731
  204. Fri Jan 10 10:49:48 2025 GCD is 1, no factor found
  205. Fri Jan 10 10:49:48 2025 reading relations for dependency 2
  206. Fri Jan 10 10:49:50 2025 read 6740657 cycles
  207. Fri Jan 10 10:50:00 2025 cycles contain 26015446 unique relations
  208. Fri Jan 10 10:53:45 2025 read 26015446 relations
  209. Fri Jan 10 10:55:06 2025 multiplying 26015446 relations
  210. Fri Jan 10 11:07:24 2025 multiply complete, coefficients have about 1436.84 million bits
  211. Fri Jan 10 11:07:28 2025 initial square root is modulo 2787859
  212. Fri Jan 10 11:15:26 2025 GCD is N, no factor found
  213. Fri Jan 10 11:15:26 2025 reading relations for dependency 3
  214. Fri Jan 10 11:15:27 2025 read 6742371 cycles
  215. Fri Jan 10 11:15:38 2025 cycles contain 26012092 unique relations
  216. Fri Jan 10 11:19:21 2025 read 26012092 relations
  217. Fri Jan 10 11:20:40 2025 multiplying 26012092 relations
  218. Fri Jan 10 11:32:56 2025 multiply complete, coefficients have about 1436.63 million bits
  219. Fri Jan 10 11:33:01 2025 initial square root is modulo 2781887
  220. Fri Jan 10 11:41:38 2025 GCD is N, no factor found
  221. Fri Jan 10 11:41:38 2025 reading relations for dependency 4
  222. Fri Jan 10 11:41:39 2025 read 6740038 cycles
  223. Fri Jan 10 11:41:50 2025 cycles contain 26006322 unique relations
  224. Fri Jan 10 11:45:39 2025 read 26006322 relations
  225. Fri Jan 10 11:47:06 2025 multiplying 26006322 relations
  226. Fri Jan 10 11:59:27 2025 multiply complete, coefficients have about 1436.31 million bits
  227. Fri Jan 10 11:59:32 2025 initial square root is modulo 2772839
  228. Fri Jan 10 12:08:54 2025 sqrtTime: 6289
  229. Fri Jan 10 12:08:54 2025 p67 factor: 3608417250881910402476278228457232027978595876509088905007805468197
  230. Fri Jan 10 12:08:54 2025 p102 factor: 233046163073536557496119283498606757742468471556716290236252920161131184688374476232963956310995321927
  231. Fri Jan 10 12:08:54 2025 elapsed time 12:48:22
  232.  
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