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gchilders

C195_145_122

Sep 8th, 2022
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  1. Wed Sep 7 12:45:46 2022
  2. Wed Sep 7 12:45:46 2022
  3. Wed Sep 7 12:45:46 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Sep 7 12:45:46 2022 random seeds: 3f614a39 f09923c9
  5. Wed Sep 7 12:45:46 2022 MPI process 0 of 1
  6. Wed Sep 7 12:45:46 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits)
  7. Wed Sep 7 12:45:47 2022 no P-1/P+1/ECM available, skipping
  8. Wed Sep 7 12:45:47 2022 commencing number field sieve (195-digit input)
  9. Wed Sep 7 12:45:47 2022 R0: -34836735077907242766383210973608962666
  10. Wed Sep 7 12:45:47 2022 R1: 296155417798931427557711
  11. Wed Sep 7 12:45:47 2022 A0: 16734616657131278714808079418694212811411912
  12. Wed Sep 7 12:45:47 2022 A1: 28182385282593881106959852573533945574
  13. Wed Sep 7 12:45:47 2022 A2: 11436240044684009125565858850309
  14. Wed Sep 7 12:45:47 2022 A3: -209544207391865601662151
  15. Wed Sep 7 12:45:47 2022 A4: -17097385717580408
  16. Wed Sep 7 12:45:47 2022 A5: 51236640
  17. Wed Sep 7 12:45:47 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5
  18. Wed Sep 7 12:45:47 2022
  19. Wed Sep 7 12:45:47 2022 commencing relation filtering
  20. Wed Sep 7 12:45:47 2022 setting target matrix density to 120.0
  21. Wed Sep 7 12:45:47 2022 estimated available RAM is 257667.4 MB
  22. Wed Sep 7 12:45:47 2022 commencing duplicate removal, pass 1
  23. Wed Sep 7 12:50:33 2022 skipped 228 relations with composite factors
  24. Wed Sep 7 12:50:33 2022 found 76445384 hash collisions in 628833956 relations
  25. Wed Sep 7 12:50:54 2022 added 121877 free relations
  26. Wed Sep 7 12:50:54 2022 commencing duplicate removal, pass 2
  27. Wed Sep 7 12:53:45 2022 found 34 duplicates and 628955799 unique relations
  28. Wed Sep 7 12:53:45 2022 memory use: 2387.0 MB
  29. Wed Sep 7 12:53:45 2022 reading ideals above 720000
  30. Wed Sep 7 12:53:45 2022 commencing singleton removal, initial pass
  31. Wed Sep 7 13:18:49 2022 memory use: 11024.0 MB
  32. Wed Sep 7 13:18:49 2022 reading all ideals from disk
  33. Wed Sep 7 13:18:54 2022 memory use: 32151.2 MB
  34. Wed Sep 7 13:19:25 2022 keeping 628858574 ideals with weight <= 200, target excess is 3358327
  35. Wed Sep 7 13:20:11 2022 commencing in-memory singleton removal
  36. Wed Sep 7 13:20:15 2022 begin with 628955799 relations and 628858574 unique ideals
  37. Wed Sep 7 13:20:57 2022 reduce to 347307877 relations and 312420359 ideals in 20 passes
  38. Wed Sep 7 13:20:57 2022 max relations containing the same ideal: 143
  39. Wed Sep 7 13:22:10 2022 removing 19271772 relations and 17271772 ideals in 2000000 cliques
  40. Wed Sep 7 13:22:19 2022 commencing in-memory singleton removal
  41. Wed Sep 7 13:22:21 2022 begin with 328036105 relations and 312420359 unique ideals
  42. Wed Sep 7 13:22:39 2022 reduce to 327117857 relations and 294222332 ideals in 10 passes
  43. Wed Sep 7 13:22:39 2022 max relations containing the same ideal: 137
  44. Wed Sep 7 13:23:49 2022 removing 14268056 relations and 12268056 ideals in 2000000 cliques
  45. Wed Sep 7 13:23:57 2022 commencing in-memory singleton removal
  46. Wed Sep 7 13:23:59 2022 begin with 312849801 relations and 294222332 unique ideals
  47. Wed Sep 7 13:24:13 2022 reduce to 312300780 relations and 281401318 ideals in 8 passes
  48. Wed Sep 7 13:24:13 2022 max relations containing the same ideal: 137
  49. Wed Sep 7 13:25:20 2022 removing 12691036 relations and 10691036 ideals in 2000000 cliques
  50. Wed Sep 7 13:25:27 2022 commencing in-memory singleton removal
  51. Wed Sep 7 13:25:29 2022 begin with 299609744 relations and 281401318 unique ideals
  52. Wed Sep 7 13:25:43 2022 reduce to 299151736 relations and 270249210 ideals in 8 passes
  53. Wed Sep 7 13:25:43 2022 max relations containing the same ideal: 136
  54. Wed Sep 7 13:26:50 2022 removing 11827344 relations and 9827344 ideals in 2000000 cliques
  55. Wed Sep 7 13:26:56 2022 commencing in-memory singleton removal
  56. Wed Sep 7 13:26:58 2022 begin with 287324392 relations and 270249210 unique ideals
  57. Wed Sep 7 13:27:11 2022 reduce to 286908012 relations and 260002626 ideals in 8 passes
  58. Wed Sep 7 13:27:11 2022 max relations containing the same ideal: 133
  59. Wed Sep 7 13:28:16 2022 removing 11265282 relations and 9265282 ideals in 2000000 cliques
  60. Wed Sep 7 13:28:22 2022 commencing in-memory singleton removal
  61. Wed Sep 7 13:28:24 2022 begin with 275642730 relations and 260002626 unique ideals
  62. Wed Sep 7 13:28:35 2022 reduce to 275250750 relations and 250342700 ideals in 7 passes
  63. Wed Sep 7 13:28:35 2022 max relations containing the same ideal: 126
  64. Wed Sep 7 13:29:35 2022 removing 10872179 relations and 8872179 ideals in 2000000 cliques
  65. Wed Sep 7 13:29:41 2022 commencing in-memory singleton removal
  66. Wed Sep 7 13:29:43 2022 begin with 264378571 relations and 250342700 unique ideals
  67. Wed Sep 7 13:29:55 2022 reduce to 263999646 relations and 241088862 ideals in 8 passes
  68. Wed Sep 7 13:29:55 2022 max relations containing the same ideal: 124
  69. Wed Sep 7 13:30:53 2022 removing 10571845 relations and 8571845 ideals in 2000000 cliques
  70. Wed Sep 7 13:30:58 2022 commencing in-memory singleton removal
  71. Wed Sep 7 13:31:00 2022 begin with 253427801 relations and 241088862 unique ideals
  72. Wed Sep 7 13:31:12 2022 reduce to 253055160 relations and 232141658 ideals in 8 passes
  73. Wed Sep 7 13:31:12 2022 max relations containing the same ideal: 122
  74. Wed Sep 7 13:32:08 2022 removing 10354565 relations and 8354565 ideals in 2000000 cliques
  75. Wed Sep 7 13:32:14 2022 commencing in-memory singleton removal
  76. Wed Sep 7 13:32:15 2022 begin with 242700595 relations and 232141658 unique ideals
  77. Wed Sep 7 13:32:26 2022 reduce to 242328682 relations and 223412476 ideals in 8 passes
  78. Wed Sep 7 13:32:26 2022 max relations containing the same ideal: 116
  79. Wed Sep 7 13:33:20 2022 removing 10184624 relations and 8184624 ideals in 2000000 cliques
  80. Wed Sep 7 13:33:26 2022 commencing in-memory singleton removal
  81. Wed Sep 7 13:33:27 2022 begin with 232144058 relations and 223412476 unique ideals
  82. Wed Sep 7 13:33:38 2022 reduce to 231767669 relations and 214848697 ideals in 8 passes
  83. Wed Sep 7 13:33:38 2022 max relations containing the same ideal: 113
  84. Wed Sep 7 13:34:31 2022 removing 10056619 relations and 8056619 ideals in 2000000 cliques
  85. Wed Sep 7 13:34:36 2022 commencing in-memory singleton removal
  86. Wed Sep 7 13:34:38 2022 begin with 221711050 relations and 214848697 unique ideals
  87. Wed Sep 7 13:34:48 2022 reduce to 221330396 relations and 206408407 ideals in 8 passes
  88. Wed Sep 7 13:34:48 2022 max relations containing the same ideal: 111
  89. Wed Sep 7 13:35:37 2022 removing 9966235 relations and 7966235 ideals in 2000000 cliques
  90. Wed Sep 7 13:35:42 2022 commencing in-memory singleton removal
  91. Wed Sep 7 13:35:43 2022 begin with 211364161 relations and 206408407 unique ideals
  92. Wed Sep 7 13:35:53 2022 reduce to 210973330 relations and 198048110 ideals in 8 passes
  93. Wed Sep 7 13:35:53 2022 max relations containing the same ideal: 104
  94. Wed Sep 7 13:36:40 2022 removing 9902972 relations and 7902972 ideals in 2000000 cliques
  95. Wed Sep 7 13:36:45 2022 commencing in-memory singleton removal
  96. Wed Sep 7 13:36:46 2022 begin with 201070358 relations and 198048110 unique ideals
  97. Wed Sep 7 13:36:56 2022 reduce to 200663430 relations and 189734734 ideals in 8 passes
  98. Wed Sep 7 13:36:56 2022 max relations containing the same ideal: 101
  99. Wed Sep 7 13:37:41 2022 removing 9865092 relations and 7865092 ideals in 2000000 cliques
  100. Wed Sep 7 13:37:46 2022 commencing in-memory singleton removal
  101. Wed Sep 7 13:37:47 2022 begin with 190798338 relations and 189734734 unique ideals
  102. Wed Sep 7 13:37:56 2022 reduce to 190376007 relations and 181443594 ideals in 8 passes
  103. Wed Sep 7 13:37:56 2022 max relations containing the same ideal: 99
  104. Wed Sep 7 13:38:38 2022 removing 9849559 relations and 7849559 ideals in 2000000 cliques
  105. Wed Sep 7 13:38:43 2022 commencing in-memory singleton removal
  106. Wed Sep 7 13:38:44 2022 begin with 180526448 relations and 181443594 unique ideals
  107. Wed Sep 7 13:38:53 2022 reduce to 180083064 relations and 173146543 ideals in 9 passes
  108. Wed Sep 7 13:38:53 2022 max relations containing the same ideal: 96
  109. Wed Sep 7 13:39:35 2022 removing 9852549 relations and 7852549 ideals in 2000000 cliques
  110. Wed Sep 7 13:39:39 2022 commencing in-memory singleton removal
  111. Wed Sep 7 13:39:40 2022 begin with 170230515 relations and 173146543 unique ideals
  112. Wed Sep 7 13:39:48 2022 reduce to 169759311 relations and 164818200 ideals in 8 passes
  113. Wed Sep 7 13:39:48 2022 max relations containing the same ideal: 92
  114. Wed Sep 7 13:40:28 2022 removing 5843781 relations and 4798330 ideals in 1045451 cliques
  115. Wed Sep 7 13:40:32 2022 commencing in-memory singleton removal
  116. Wed Sep 7 13:40:33 2022 begin with 163915530 relations and 164818200 unique ideals
  117. Wed Sep 7 13:40:40 2022 reduce to 163750315 relations and 159853807 ideals in 7 passes
  118. Wed Sep 7 13:40:40 2022 max relations containing the same ideal: 91
  119. Wed Sep 7 13:41:37 2022 relations with 0 large ideals: 13990
  120. Wed Sep 7 13:41:37 2022 relations with 1 large ideals: 123684
  121. Wed Sep 7 13:41:37 2022 relations with 2 large ideals: 1320021
  122. Wed Sep 7 13:41:37 2022 relations with 3 large ideals: 6977814
  123. Wed Sep 7 13:41:37 2022 relations with 4 large ideals: 21069822
  124. Wed Sep 7 13:41:37 2022 relations with 5 large ideals: 38970674
  125. Wed Sep 7 13:41:37 2022 relations with 6 large ideals: 45075017
  126. Wed Sep 7 13:41:37 2022 relations with 7+ large ideals: 50199293
  127. Wed Sep 7 13:41:37 2022 commencing 2-way merge
  128. Wed Sep 7 13:42:38 2022 reduce to 101260374 relation sets and 97363866 unique ideals
  129. Wed Sep 7 13:42:38 2022 commencing full merge
  130. Wed Sep 7 14:06:08 2022 memory use: 11213.5 MB
  131. Wed Sep 7 14:06:16 2022 found 45086189 cycles, need 44790066
  132. Wed Sep 7 14:06:27 2022 weight of 44790066 cycles is about 5375259162 (120.01/cycle)
  133. Wed Sep 7 14:06:27 2022 distribution of cycle lengths:
  134. Wed Sep 7 14:06:27 2022 1 relations: 3271883
  135. Wed Sep 7 14:06:27 2022 2 relations: 3549805
  136. Wed Sep 7 14:06:27 2022 3 relations: 3679600
  137. Wed Sep 7 14:06:27 2022 4 relations: 3483558
  138. Wed Sep 7 14:06:27 2022 5 relations: 3333131
  139. Wed Sep 7 14:06:27 2022 6 relations: 3158349
  140. Wed Sep 7 14:06:27 2022 7 relations: 2937094
  141. Wed Sep 7 14:06:27 2022 8 relations: 2759145
  142. Wed Sep 7 14:06:27 2022 9 relations: 2538391
  143. Wed Sep 7 14:06:27 2022 10+ relations: 16079110
  144. Wed Sep 7 14:06:27 2022 heaviest cycle: 28 relations
  145. Wed Sep 7 14:06:32 2022 commencing cycle optimization
  146. Wed Sep 7 14:07:42 2022 start with 367765102 relations
  147. Wed Sep 7 14:16:58 2022 pruned 13050534 relations
  148. Wed Sep 7 14:16:59 2022 memory use: 10470.9 MB
  149. Wed Sep 7 14:16:59 2022 distribution of cycle lengths:
  150. Wed Sep 7 14:16:59 2022 1 relations: 3271883
  151. Wed Sep 7 14:16:59 2022 2 relations: 3640634
  152. Wed Sep 7 14:16:59 2022 3 relations: 3828406
  153. Wed Sep 7 14:16:59 2022 4 relations: 3603545
  154. Wed Sep 7 14:16:59 2022 5 relations: 3459814
  155. Wed Sep 7 14:16:59 2022 6 relations: 3257575
  156. Wed Sep 7 14:16:59 2022 7 relations: 3033982
  157. Wed Sep 7 14:16:59 2022 8 relations: 2830454
  158. Wed Sep 7 14:16:59 2022 9 relations: 2600201
  159. Wed Sep 7 14:16:59 2022 10+ relations: 15263572
  160. Wed Sep 7 14:16:59 2022 heaviest cycle: 28 relations
  161. Wed Sep 7 14:17:52 2022 RelProcTime: 5525
  162. Wed Sep 7 14:17:54 2022 elapsed time 01:32:08
  163. Wed Sep 7 14:20:39 2022
  164. Wed Sep 7 14:20:39 2022
  165. Wed Sep 7 14:20:39 2022 Msieve v. 1.54 (SVN unknown)
  166. Wed Sep 7 14:20:39 2022 random seeds: e554bf02 8f93f8a8
  167. Wed Sep 7 14:20:39 2022 MPI process 0 of 4
  168. Wed Sep 7 14:20:39 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits)
  169. Wed Sep 7 14:20:39 2022 no P-1/P+1/ECM available, skipping
  170. Wed Sep 7 14:20:39 2022 commencing number field sieve (195-digit input)
  171. Wed Sep 7 14:20:39 2022 R0: -34836735077907242766383210973608962666
  172. Wed Sep 7 14:20:39 2022 R1: 296155417798931427557711
  173. Wed Sep 7 14:20:39 2022 A0: 16734616657131278714808079418694212811411912
  174. Wed Sep 7 14:20:39 2022 A1: 28182385282593881106959852573533945574
  175. Wed Sep 7 14:20:39 2022 A2: 11436240044684009125565858850309
  176. Wed Sep 7 14:20:39 2022 A3: -209544207391865601662151
  177. Wed Sep 7 14:20:39 2022 A4: -17097385717580408
  178. Wed Sep 7 14:20:39 2022 A5: 51236640
  179. Wed Sep 7 14:20:39 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5
  180. Wed Sep 7 14:20:39 2022
  181. Wed Sep 7 14:20:39 2022 commencing linear algebra
  182. Wed Sep 7 14:20:39 2022 using VBITS=256
  183. Wed Sep 7 14:20:39 2022 initialized process (0,0) of 2 x 2 grid
  184. Wed Sep 7 14:20:44 2022 read 44790066 cycles
  185. Wed Sep 7 14:21:54 2022 cycles contain 161225468 unique relations
  186. Wed Sep 7 14:23:47 2022 read 161225468 relations
  187. Wed Sep 7 14:24:31 2022 using 20 quadratic characters above 4294917295
  188. Wed Sep 7 14:25:06 2022 building initial matrix
  189. Wed Sep 7 14:53:12 2022 memory use: 22714.1 MB
  190. Wed Sep 7 14:53:36 2022 read 44790066 cycles
  191. Wed Sep 7 14:53:44 2022 matrix is 44789887 x 44790066 (21388.2 MB) with weight 6453218230 (144.08/col)
  192. Wed Sep 7 14:53:44 2022 sparse part has weight 5069313484 (113.18/col)
  193. Wed Sep 7 15:00:58 2022 filtering completed in 2 passes
  194. Wed Sep 7 15:01:06 2022 matrix is 44783226 x 44783405 (21387.6 MB) with weight 6452915956 (144.09/col)
  195. Wed Sep 7 15:01:06 2022 sparse part has weight 5069231008 (113.19/col)
  196. Wed Sep 7 15:02:51 2022 matrix starts at (0, 0)
  197. Wed Sep 7 15:02:54 2022 matrix is 22391733 x 22391751 (6223.3 MB) with weight 2054535827 (91.75/col)
  198. Wed Sep 7 15:02:54 2022 sparse part has weight 1362694767 (60.86/col)
  199. Wed Sep 7 15:02:54 2022 saving the first 240 matrix rows for later
  200. Wed Sep 7 15:02:56 2022 matrix includes 256 packed rows
  201. Wed Sep 7 15:03:05 2022 matrix is 22391493 x 22391751 (5478.1 MB) with weight 1172249252 (52.35/col)
  202. Wed Sep 7 15:03:05 2022 sparse part has weight 1077785868 (48.13/col)
  203. Wed Sep 7 15:03:05 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  204. Wed Sep 7 15:03:05 2022 selected card has CUDA arch 8.0
  205. Wed Sep 7 15:04:08 2022 commencing Lanczos iteration
  206. Wed Sep 7 15:04:08 2022 memory use: 12493.7 MB
  207. Wed Sep 7 15:04:35 2022 linear algebra at 0.1%, ETA 10h33m
  208. Wed Sep 7 15:05:14 2022 checking every 70000 dimensions, checkpointing every 4270000 dimensions
  209. Thu Sep 8 01:34:16 2022 lanczos halted after 175460 iterations (dim = 44782983)
  210. Thu Sep 8 01:36:48 2022 recovered 28 nontrivial dependencies
  211. Thu Sep 8 01:36:49 2022 BLanczosTime: 40570
  212. Thu Sep 8 01:36:49 2022 elapsed time 11:16:10
  213. Thu Sep 8 01:36:53 2022
  214. Thu Sep 8 01:36:53 2022
  215. Thu Sep 8 01:36:53 2022 Msieve v. 1.54 (SVN unknown)
  216. Thu Sep 8 01:36:53 2022 random seeds: 9ac9ffbd 013ba523
  217. Thu Sep 8 01:36:53 2022 MPI process 0 of 1
  218. Thu Sep 8 01:36:53 2022 factoring 328606880159851653901498068502945699522341371334506631710815644380739452303853012248598043817669999935646198807225558536316875879511592524393207275859568918684662490812329849077724697066606457917 (195 digits)
  219. Thu Sep 8 01:36:54 2022 no P-1/P+1/ECM available, skipping
  220. Thu Sep 8 01:36:54 2022 commencing number field sieve (195-digit input)
  221. Thu Sep 8 01:36:54 2022 R0: -34836735077907242766383210973608962666
  222. Thu Sep 8 01:36:54 2022 R1: 296155417798931427557711
  223. Thu Sep 8 01:36:54 2022 A0: 16734616657131278714808079418694212811411912
  224. Thu Sep 8 01:36:54 2022 A1: 28182385282593881106959852573533945574
  225. Thu Sep 8 01:36:54 2022 A2: 11436240044684009125565858850309
  226. Thu Sep 8 01:36:54 2022 A3: -209544207391865601662151
  227. Thu Sep 8 01:36:54 2022 A4: -17097385717580408
  228. Thu Sep 8 01:36:54 2022 A5: 51236640
  229. Thu Sep 8 01:36:54 2022 skew 23248876.16, size 4.083e-19, alpha -7.021, combined = 9.770e-15 rroots = 5
  230. Thu Sep 8 01:36:54 2022
  231. Thu Sep 8 01:36:54 2022 commencing square root phase
  232. Thu Sep 8 01:36:54 2022 reading relations for dependency 1
  233. Thu Sep 8 01:36:57 2022 read 22393233 cycles
  234. Thu Sep 8 01:37:34 2022 cycles contain 80612876 unique relations
  235. Thu Sep 8 01:38:46 2022 read 80612876 relations
  236. Thu Sep 8 01:43:44 2022 multiplying 80612876 relations
  237. Thu Sep 8 01:53:19 2022 multiply complete, coefficients have about 5448.20 million bits
  238. Thu Sep 8 01:53:32 2022 initial square root is modulo 1287661
  239. Thu Sep 8 02:27:02 2022 sqrtTime: 3008
  240. Thu Sep 8 02:27:02 2022 p84 factor: 224811945151816676939636643947523714207739948394560564580591920659506060377066791131
  241. Thu Sep 8 02:27:02 2022 p112 factor: 1461696708055000000071089434710462491450717089959210166163937075451062835687206403861139616127066198762267320007
  242. Thu Sep 8 02:27:02 2022 elapsed time 00:50:09
  243.  
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