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gchilders

5_2_831m1

Dec 27th, 2023
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  1. Wed Dec 27 18:38:48 2023
  2. Wed Dec 27 18:38:48 2023
  3. Wed Dec 27 18:38:48 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Dec 27 18:38:48 2023 random seeds: ab6fe3e4 dbc9a076
  5. Wed Dec 27 18:38:48 2023 MPI process 0 of 1
  6. Wed Dec 27 18:38:48 2023 Using 46 OpenMP threads
  7. Wed Dec 27 18:38:48 2023 factoring 26432234533806672254721661461706981150120750589848393358366939841548575401455332010306293575925192133801475702093188539994504298924975693865460376454215567601815790221637512956584090421702648537454992878584888541609 (215 digits)
  8. Wed Dec 27 18:38:49 2023 no P-1/P+1/ECM available, skipping
  9. Wed Dec 27 18:38:49 2023 commencing number field sieve (215-digit input)
  10. Wed Dec 27 18:38:49 2023 R0: 348449143727040986586495598010130648530944
  11. Wed Dec 27 18:38:49 2023 R1: -1
  12. Wed Dec 27 18:38:49 2023 A0: -1
  13. Wed Dec 27 18:38:49 2023 A1: 0
  14. Wed Dec 27 18:38:49 2023 A2: 0
  15. Wed Dec 27 18:38:49 2023 A3: 0
  16. Wed Dec 27 18:38:49 2023 A4: 0
  17. Wed Dec 27 18:38:49 2023 A5: 0
  18. Wed Dec 27 18:38:49 2023 A6: 40
  19. Wed Dec 27 18:38:49 2023 skew 0.58, size 2.659e-12, alpha 0.660, combined = 2.384e-13 rroots = 2
  20. Wed Dec 27 18:38:49 2023
  21. Wed Dec 27 18:38:49 2023 commencing relation filtering
  22. Wed Dec 27 18:38:49 2023 setting target matrix density to 110.0
  23. Wed Dec 27 18:38:49 2023 estimated available RAM is 192069.2 MB
  24. Wed Dec 27 18:38:49 2023 commencing duplicate removal, pass 1
  25. Wed Dec 27 18:40:48 2023 error -15 reading relation 174718195
  26. Wed Dec 27 18:40:48 2023 error -15 reading relation 174727738
  27. Wed Dec 27 18:40:53 2023 error -1 reading relation 181654107
  28. Wed Dec 27 18:42:01 2023 skipped 455 relations with b > 2^32
  29. Wed Dec 27 18:42:01 2023 skipped 104 malformed relations
  30. Wed Dec 27 18:42:01 2023 found 16965010 hash collisions in 281731884 relations
  31. Wed Dec 27 18:42:17 2023 added 1218855 free relations
  32. Wed Dec 27 18:42:17 2023 commencing duplicate removal, pass 2
  33. Wed Dec 27 18:43:29 2023 found 0 duplicates and 282950739 unique relations
  34. Wed Dec 27 18:43:29 2023 memory use: 852.8 MB
  35. Wed Dec 27 18:43:29 2023 reading ideals above 720000
  36. Wed Dec 27 18:43:30 2023 commencing singleton removal, initial pass
  37. Wed Dec 27 18:53:44 2023 memory use: 6024.0 MB
  38. Wed Dec 27 18:53:44 2023 reading all ideals from disk
  39. Wed Dec 27 18:53:51 2023 memory use: 13481.9 MB
  40. Wed Dec 27 18:54:10 2023 keeping 288496198 ideals with weight <= 200, target excess is 1799825
  41. Wed Dec 27 18:54:34 2023 commencing in-memory singleton removal
  42. Wed Dec 27 18:54:37 2023 begin with 282950739 relations and 288496198 unique ideals
  43. Wed Dec 27 18:54:49 2023 reduce to 131475062 relations and 115017840 ideals in 17 passes
  44. Wed Dec 27 18:54:49 2023 max relations containing the same ideal: 132
  45. Wed Dec 27 18:55:27 2023 removing 14806574 relations and 12806574 ideals in 2000000 cliques
  46. Wed Dec 27 18:55:34 2023 commencing in-memory singleton removal
  47. Wed Dec 27 18:55:35 2023 begin with 116668488 relations and 115017840 unique ideals
  48. Wed Dec 27 18:55:40 2023 reduce to 115332544 relations and 100848002 ideals in 10 passes
  49. Wed Dec 27 18:55:40 2023 max relations containing the same ideal: 118
  50. Wed Dec 27 18:56:13 2023 removing 11086059 relations and 9086059 ideals in 2000000 cliques
  51. Wed Dec 27 18:56:19 2023 commencing in-memory singleton removal
  52. Wed Dec 27 18:56:20 2023 begin with 104246485 relations and 100848002 unique ideals
  53. Wed Dec 27 18:56:24 2023 reduce to 103358658 relations and 90857959 ideals in 10 passes
  54. Wed Dec 27 18:56:24 2023 max relations containing the same ideal: 109
  55. Wed Dec 27 18:56:54 2023 removing 9948151 relations and 7948151 ideals in 2000000 cliques
  56. Wed Dec 27 18:56:59 2023 commencing in-memory singleton removal
  57. Wed Dec 27 18:57:00 2023 begin with 93410507 relations and 90857959 unique ideals
  58. Wed Dec 27 18:57:03 2023 reduce to 92603181 relations and 82087413 ideals in 10 passes
  59. Wed Dec 27 18:57:03 2023 max relations containing the same ideal: 101
  60. Wed Dec 27 18:57:30 2023 removing 9384997 relations and 7384997 ideals in 2000000 cliques
  61. Wed Dec 27 18:57:35 2023 commencing in-memory singleton removal
  62. Wed Dec 27 18:57:36 2023 begin with 83218184 relations and 82087413 unique ideals
  63. Wed Dec 27 18:57:39 2023 reduce to 82413293 relations and 73881184 ideals in 9 passes
  64. Wed Dec 27 18:57:39 2023 max relations containing the same ideal: 93
  65. Wed Dec 27 18:58:06 2023 removing 9075188 relations and 7075188 ideals in 2000000 cliques
  66. Wed Dec 27 18:58:10 2023 commencing in-memory singleton removal
  67. Wed Dec 27 18:58:11 2023 begin with 73338105 relations and 73881184 unique ideals
  68. Wed Dec 27 18:58:13 2023 reduce to 72486323 relations and 65935351 ideals in 9 passes
  69. Wed Dec 27 18:58:13 2023 max relations containing the same ideal: 86
  70. Wed Dec 27 18:58:34 2023 removing 8920629 relations and 6920629 ideals in 2000000 cliques
  71. Wed Dec 27 18:58:39 2023 commencing in-memory singleton removal
  72. Wed Dec 27 18:58:39 2023 begin with 63565694 relations and 65935351 unique ideals
  73. Wed Dec 27 18:58:41 2023 reduce to 62618059 relations and 58043612 ideals in 9 passes
  74. Wed Dec 27 18:58:41 2023 max relations containing the same ideal: 78
  75. Wed Dec 27 18:59:00 2023 removing 8884310 relations and 6884310 ideals in 2000000 cliques
  76. Wed Dec 27 18:59:04 2023 commencing in-memory singleton removal
  77. Wed Dec 27 18:59:04 2023 begin with 53733749 relations and 58043612 unique ideals
  78. Wed Dec 27 18:59:06 2023 reduce to 52609082 relations and 50002531 ideals in 10 passes
  79. Wed Dec 27 18:59:06 2023 max relations containing the same ideal: 68
  80. Wed Dec 27 18:59:23 2023 removing 3178860 relations and 2660106 ideals in 518754 cliques
  81. Wed Dec 27 18:59:26 2023 commencing in-memory singleton removal
  82. Wed Dec 27 18:59:26 2023 begin with 49430222 relations and 50002531 unique ideals
  83. Wed Dec 27 18:59:28 2023 reduce to 49276099 relations and 47186867 ideals in 10 passes
  84. Wed Dec 27 18:59:28 2023 max relations containing the same ideal: 66
  85. Wed Dec 27 18:59:50 2023 relations with 0 large ideals: 62914
  86. Wed Dec 27 18:59:50 2023 relations with 1 large ideals: 155209
  87. Wed Dec 27 18:59:50 2023 relations with 2 large ideals: 1058801
  88. Wed Dec 27 18:59:50 2023 relations with 3 large ideals: 4073810
  89. Wed Dec 27 18:59:50 2023 relations with 4 large ideals: 9325748
  90. Wed Dec 27 18:59:50 2023 relations with 5 large ideals: 13198340
  91. Wed Dec 27 18:59:50 2023 relations with 6 large ideals: 11722449
  92. Wed Dec 27 18:59:50 2023 relations with 7+ large ideals: 9678828
  93. Wed Dec 27 18:59:50 2023 commencing 2-way merge
  94. Wed Dec 27 19:00:12 2023 reduce to 28976170 relation sets and 26886937 unique ideals
  95. Wed Dec 27 19:00:12 2023 commencing full merge
  96. Wed Dec 27 19:06:47 2023 memory use: 3030.0 MB
  97. Wed Dec 27 19:06:49 2023 found 12854233 cycles, need 12665137
  98. Wed Dec 27 19:06:53 2023 weight of 12665137 cycles is about 1393751216 (110.05/cycle)
  99. Wed Dec 27 19:06:53 2023 distribution of cycle lengths:
  100. Wed Dec 27 19:06:53 2023 1 relations: 1095558
  101. Wed Dec 27 19:06:53 2023 2 relations: 947322
  102. Wed Dec 27 19:06:53 2023 3 relations: 952902
  103. Wed Dec 27 19:06:53 2023 4 relations: 919703
  104. Wed Dec 27 19:06:53 2023 5 relations: 901574
  105. Wed Dec 27 19:06:53 2023 6 relations: 871281
  106. Wed Dec 27 19:06:53 2023 7 relations: 827520
  107. Wed Dec 27 19:06:53 2023 8 relations: 786266
  108. Wed Dec 27 19:06:53 2023 9 relations: 729472
  109. Wed Dec 27 19:06:53 2023 10+ relations: 4633539
  110. Wed Dec 27 19:06:53 2023 heaviest cycle: 28 relations
  111. Wed Dec 27 19:06:59 2023 commencing cycle optimization
  112. Wed Dec 27 19:07:18 2023 start with 104112647 relations
  113. Wed Dec 27 19:10:07 2023 pruned 3439063 relations
  114. Wed Dec 27 19:10:07 2023 memory use: 3037.8 MB
  115. Wed Dec 27 19:10:08 2023 distribution of cycle lengths:
  116. Wed Dec 27 19:10:08 2023 1 relations: 1095558
  117. Wed Dec 27 19:10:08 2023 2 relations: 968700
  118. Wed Dec 27 19:10:08 2023 3 relations: 986044
  119. Wed Dec 27 19:10:08 2023 4 relations: 949024
  120. Wed Dec 27 19:10:08 2023 5 relations: 934604
  121. Wed Dec 27 19:10:08 2023 6 relations: 899969
  122. Wed Dec 27 19:10:08 2023 7 relations: 856438
  123. Wed Dec 27 19:10:08 2023 8 relations: 808893
  124. Wed Dec 27 19:10:08 2023 9 relations: 750167
  125. Wed Dec 27 19:10:08 2023 10+ relations: 4415740
  126. Wed Dec 27 19:10:08 2023 heaviest cycle: 28 relations
  127. Wed Dec 27 19:10:33 2023 RelProcTime: 1904
  128. Wed Dec 27 19:10:33 2023 elapsed time 00:31:45
  129. Wed Dec 27 19:10:34 2023
  130. Wed Dec 27 19:10:34 2023
  131. Wed Dec 27 19:10:34 2023 Msieve v. 1.54 (SVN Unversioned directory)
  132. Wed Dec 27 19:10:34 2023 random seeds: ee7963f1 5961aeb9
  133. Wed Dec 27 19:10:34 2023 MPI process 0 of 1
  134. Wed Dec 27 19:10:34 2023 Using 46 OpenMP threads
  135. Wed Dec 27 19:10:34 2023 factoring 26432234533806672254721661461706981150120750589848393358366939841548575401455332010306293575925192133801475702093188539994504298924975693865460376454215567601815790221637512956584090421702648537454992878584888541609 (215 digits)
  136. Wed Dec 27 19:10:34 2023 no P-1/P+1/ECM available, skipping
  137. Wed Dec 27 19:10:34 2023 commencing number field sieve (215-digit input)
  138. Wed Dec 27 19:10:34 2023 R0: 348449143727040986586495598010130648530944
  139. Wed Dec 27 19:10:34 2023 R1: -1
  140. Wed Dec 27 19:10:34 2023 A0: -1
  141. Wed Dec 27 19:10:34 2023 A1: 0
  142. Wed Dec 27 19:10:34 2023 A2: 0
  143. Wed Dec 27 19:10:34 2023 A3: 0
  144. Wed Dec 27 19:10:34 2023 A4: 0
  145. Wed Dec 27 19:10:34 2023 A5: 0
  146. Wed Dec 27 19:10:34 2023 A6: 40
  147. Wed Dec 27 19:10:35 2023 skew 0.58, size 2.659e-12, alpha 0.660, combined = 2.384e-13 rroots = 2
  148. Wed Dec 27 19:10:35 2023
  149. Wed Dec 27 19:10:35 2023 commencing linear algebra
  150. Wed Dec 27 19:10:35 2023 using VBITS=128
  151. Wed Dec 27 19:10:35 2023 stopping after matrix build
  152. Wed Dec 27 19:10:35 2023 initialized process (0,0) of 1 x 1 grid
  153. Wed Dec 27 19:10:36 2023 read 12665137 cycles
  154. Wed Dec 27 19:10:59 2023 cycles contain 47726357 unique relations
  155. Wed Dec 27 19:11:34 2023 read 47726357 relations
  156. Wed Dec 27 19:11:37 2023 using 20 quadratic characters above 4294917295
  157. Wed Dec 27 19:11:43 2023 building initial matrix
  158. Wed Dec 27 19:20:51 2023 memory use: 6008.8 MB
  159. Wed Dec 27 19:21:05 2023 read 12665137 cycles
  160. Wed Dec 27 19:21:06 2023 matrix is 12664948 x 12665137 (5561.6 MB) with weight 1610622385 (127.17/col)
  161. Wed Dec 27 19:21:06 2023 sparse part has weight 1318625809 (104.11/col)
  162. Wed Dec 27 19:23:42 2023 filtering completed in 2 passes
  163. Wed Dec 27 19:23:43 2023 matrix is 12659094 x 12659279 (5561.0 MB) with weight 1610376067 (127.21/col)
  164. Wed Dec 27 19:23:43 2023 sparse part has weight 1318518569 (104.15/col)
  165. Wed Dec 27 19:24:16 2023 BLanczosTime: 821
  166. Wed Dec 27 19:24:16 2023 elapsed time 00:13:42
  167. Wed Dec 27 21:35:07 2023
  168. Wed Dec 27 21:35:07 2023
  169. Wed Dec 27 21:35:07 2023 Msieve v. 1.54 (SVN unknown)
  170. Wed Dec 27 21:35:07 2023 random seeds: fd4618fb d2981cd9
  171. Wed Dec 27 21:35:07 2023 MPI process 0 of 4
  172. Wed Dec 27 21:35:07 2023 Using 16 OpenMP threads
  173. Wed Dec 27 21:35:07 2023 factoring 26432234533806672254721661461706981150120750589848393358366939841548575401455332010306293575925192133801475702093188539994504298924975693865460376454215567601815790221637512956584090421702648537454992878584888541609 (215 digits)
  174. Wed Dec 27 21:35:07 2023 no P-1/P+1/ECM available, skipping
  175. Wed Dec 27 21:35:07 2023 commencing number field sieve (215-digit input)
  176. Wed Dec 27 21:35:07 2023 R0: 348449143727040986586495598010130648530944
  177. Wed Dec 27 21:35:07 2023 R1: -1
  178. Wed Dec 27 21:35:07 2023 A0: -1
  179. Wed Dec 27 21:35:07 2023 A1: 0
  180. Wed Dec 27 21:35:07 2023 A2: 0
  181. Wed Dec 27 21:35:07 2023 A3: 0
  182. Wed Dec 27 21:35:07 2023 A4: 0
  183. Wed Dec 27 21:35:07 2023 A5: 0
  184. Wed Dec 27 21:35:07 2023 A6: 40
  185. Wed Dec 27 21:35:07 2023 skew 0.58, size 2.659e-12, alpha 0.660, combined = 2.384e-13 rroots = 2
  186. Wed Dec 27 21:35:07 2023
  187. Wed Dec 27 21:35:07 2023 commencing linear algebra
  188. Wed Dec 27 21:35:07 2023 using VBITS=256
  189. Wed Dec 27 21:35:07 2023 skipping matrix build
  190. Wed Dec 27 21:35:07 2023 initialized process (0,0) of 2 x 2 grid
  191. Wed Dec 27 21:35:13 2023 matrix starts at (0, 0)
  192. Wed Dec 27 21:35:14 2023 matrix is 6329667 x 6329619 (1628.8 MB) with weight 503281096 (79.51/col)
  193. Wed Dec 27 21:35:14 2023 sparse part has weight 357352681 (56.46/col)
  194. Wed Dec 27 21:35:14 2023 saving the first 240 matrix rows for later
  195. Wed Dec 27 21:35:15 2023 matrix includes 256 packed rows
  196. Wed Dec 27 21:35:17 2023 matrix is 6329427 x 6329619 (1446.0 MB) with weight 301986553 (47.71/col)
  197. Wed Dec 27 21:35:17 2023 sparse part has weight 277778719 (43.89/col)
  198. Wed Dec 27 21:35:17 2023 using GPU 0 (NVIDIA A100-SXM4-40GB)
  199. Wed Dec 27 21:35:17 2023 selected card has CUDA arch 8.0
  200. Wed Dec 27 21:35:29 2023 commencing Lanczos iteration
  201. Wed Dec 27 21:35:29 2023 memory use: 3326.6 MB
  202. Wed Dec 27 21:35:36 2023 linear algebra at 0.2%, ETA 0h41m
  203. Wed Dec 27 21:35:46 2023 checking every 280000 dimensions, checkpointing every 17360000 dimensions
  204. Wed Dec 27 22:21:34 2023 lanczos halted after 49598 iterations (dim = 12658853)
  205. Wed Dec 27 22:22:12 2023 recovered 36 nontrivial dependencies
  206. Wed Dec 27 22:22:12 2023 BLanczosTime: 2825
  207. Wed Dec 27 22:22:12 2023 elapsed time 00:47:05
  208. Wed Dec 27 20:48:39 2023
  209. Wed Dec 27 20:48:39 2023
  210. Wed Dec 27 20:48:39 2023 Msieve v. 1.54 (SVN Unversioned directory)
  211. Wed Dec 27 20:48:39 2023 random seeds: 5fd0bd0f 3912e603
  212. Wed Dec 27 20:48:39 2023 MPI process 0 of 1
  213. Wed Dec 27 20:48:39 2023 Using 32 OpenMP threads
  214. Wed Dec 27 20:48:39 2023 factoring 26432234533806672254721661461706981150120750589848393358366939841548575401455332010306293575925192133801475702093188539994504298924975693865460376454215567601815790221637512956584090421702648537454992878584888541609 (215 digits)
  215. Wed Dec 27 20:48:40 2023 no P-1/P+1/ECM available, skipping
  216. Wed Dec 27 20:48:40 2023 commencing number field sieve (215-digit input)
  217. Wed Dec 27 20:48:40 2023 R0: 348449143727040986586495598010130648530944
  218. Wed Dec 27 20:48:40 2023 R1: -1
  219. Wed Dec 27 20:48:40 2023 A0: -1
  220. Wed Dec 27 20:48:40 2023 A1: 0
  221. Wed Dec 27 20:48:40 2023 A2: 0
  222. Wed Dec 27 20:48:40 2023 A3: 0
  223. Wed Dec 27 20:48:40 2023 A4: 0
  224. Wed Dec 27 20:48:40 2023 A5: 0
  225. Wed Dec 27 20:48:40 2023 A6: 40
  226. Wed Dec 27 20:48:40 2023 skew 0.58, size 2.659e-12, alpha 0.660, combined = 2.384e-13 rroots = 2
  227. Wed Dec 27 20:48:40 2023
  228. Wed Dec 27 20:48:40 2023 commencing square root phase
  229. Wed Dec 27 20:48:40 2023 reading relations for dependency 1
  230. Wed Dec 27 20:48:41 2023 read 6331042 cycles
  231. Wed Dec 27 20:48:53 2023 cycles contain 23862076 unique relations
  232. Wed Dec 27 20:49:31 2023 read 23862076 relations
  233. Wed Dec 27 20:51:10 2023 multiplying 23862076 relations
  234. Wed Dec 27 20:52:46 2023 multiply complete, coefficients have about 720.07 million bits
  235. Wed Dec 27 20:52:48 2023 initial square root is modulo 2885251
  236. Wed Dec 27 20:57:41 2023 GCD is N, no factor found
  237. Wed Dec 27 20:57:41 2023 reading relations for dependency 2
  238. Wed Dec 27 20:57:43 2023 read 6326568 cycles
  239. Wed Dec 27 20:57:57 2023 cycles contain 23852208 unique relations
  240. Wed Dec 27 20:58:31 2023 read 23852208 relations
  241. Wed Dec 27 20:59:55 2023 multiplying 23852208 relations
  242. Wed Dec 27 21:01:32 2023 multiply complete, coefficients have about 719.78 million bits
  243. Wed Dec 27 21:01:34 2023 initial square root is modulo 2867497
  244. Wed Dec 27 21:06:22 2023 sqrtTime: 1062
  245. Wed Dec 27 21:06:22 2023 p102 factor: 274330823233872233026689191461688004738574999623460121378090061432791493202587905673258481426216379639
  246. Wed Dec 27 21:06:22 2023 p113 factor: 96351675769487596684124902862705132800353976446493521871998300088759780784239165407857670607888860210164947355231
  247. Wed Dec 27 21:06:22 2023 elapsed time 00:17:43
  248.  
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