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gchilders

720__697_7m1

May 4th, 2023
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  1. Wed May 3 10:20:42 2023
  2. Wed May 3 10:20:42 2023
  3. Wed May 3 10:20:42 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 3 10:20:42 2023 random seeds: 3e5388c2 04222b9d
  5. Wed May 3 10:20:42 2023 MPI process 0 of 1
  6. Wed May 3 10:20:42 2023 Using 46 OpenMP threads
  7. Wed May 3 10:20:42 2023 factoring 173409318994014991608699521250298311369361570298036914335533856306027248963108229043064237104545225594060295151887736283212865188020251783691527045046021271085079274687943920833525383452171591086873092481791192107707219997 (222 digits)
  8. Wed May 3 10:20:43 2023 no P-1/P+1/ECM available, skipping
  9. Wed May 3 10:20:43 2023 commencing number field sieve (222-digit input)
  10. Wed May 3 10:20:43 2023 R0: 7206265939649651266639461995378601681697
  11. Wed May 3 10:20:43 2023 R1: -1
  12. Wed May 3 10:20:43 2023 A0: 1
  13. Wed May 3 10:20:43 2023 A1: 1
  14. Wed May 3 10:20:43 2023 A2: 1
  15. Wed May 3 10:20:43 2023 A3: 1
  16. Wed May 3 10:20:43 2023 A4: 1
  17. Wed May 3 10:20:43 2023 A5: 1
  18. Wed May 3 10:20:43 2023 A6: 1
  19. Wed May 3 10:20:43 2023 skew 1.00, size 7.961e-12, alpha 2.428, combined = 5.399e-13 rroots = 0
  20. Wed May 3 10:20:43 2023
  21. Wed May 3 10:20:43 2023 commencing relation filtering
  22. Wed May 3 10:20:43 2023 setting target matrix density to 110.0
  23. Wed May 3 10:20:43 2023 estimated available RAM is 192069.2 MB
  24. Wed May 3 10:20:43 2023 commencing duplicate removal, pass 1
  25. Wed May 3 10:21:43 2023 error -11 reading relation 89932354
  26. Wed May 3 10:22:14 2023 skipped 32 relations with b > 2^32
  27. Wed May 3 10:22:14 2023 skipped 4 relations with composite factors
  28. Wed May 3 10:22:14 2023 skipped 31 malformed relations
  29. Wed May 3 10:22:14 2023 found 7910237 hash collisions in 135807653 relations
  30. Wed May 3 10:22:21 2023 added 2438534 free relations
  31. Wed May 3 10:22:21 2023 commencing duplicate removal, pass 2
  32. Wed May 3 10:22:56 2023 found 0 duplicates and 138246187 unique relations
  33. Wed May 3 10:22:56 2023 memory use: 426.4 MB
  34. Wed May 3 10:22:56 2023 reading ideals above 720000
  35. Wed May 3 10:22:56 2023 commencing singleton removal, initial pass
  36. Wed May 3 10:27:40 2023 memory use: 3012.0 MB
  37. Wed May 3 10:27:40 2023 reading all ideals from disk
  38. Wed May 3 10:27:44 2023 memory use: 6426.8 MB
  39. Wed May 3 10:27:53 2023 keeping 128435418 ideals with weight <= 200, target excess is 677439
  40. Wed May 3 10:28:04 2023 commencing in-memory singleton removal
  41. Wed May 3 10:28:05 2023 begin with 138246187 relations and 128435418 unique ideals
  42. Wed May 3 10:28:12 2023 reduce to 87801376 relations and 72835395 ideals in 15 passes
  43. Wed May 3 10:28:12 2023 max relations containing the same ideal: 158
  44. Wed May 3 10:28:35 2023 removing 9766374 relations and 7766374 ideals in 2000000 cliques
  45. Wed May 3 10:28:40 2023 commencing in-memory singleton removal
  46. Wed May 3 10:28:41 2023 begin with 78035002 relations and 72835395 unique ideals
  47. Wed May 3 10:28:43 2023 reduce to 77134121 relations and 64142152 ideals in 8 passes
  48. Wed May 3 10:28:43 2023 max relations containing the same ideal: 144
  49. Wed May 3 10:29:04 2023 removing 7690766 relations and 5690766 ideals in 2000000 cliques
  50. Wed May 3 10:29:08 2023 commencing in-memory singleton removal
  51. Wed May 3 10:29:09 2023 begin with 69443355 relations and 64142152 unique ideals
  52. Wed May 3 10:29:11 2023 reduce to 68802744 relations and 57793958 ideals in 8 passes
  53. Wed May 3 10:29:11 2023 max relations containing the same ideal: 135
  54. Wed May 3 10:29:30 2023 removing 7129216 relations and 5129216 ideals in 2000000 cliques
  55. Wed May 3 10:29:33 2023 commencing in-memory singleton removal
  56. Wed May 3 10:29:34 2023 begin with 61673528 relations and 57793958 unique ideals
  57. Wed May 3 10:29:36 2023 reduce to 61069347 relations and 52043879 ideals in 7 passes
  58. Wed May 3 10:29:36 2023 max relations containing the same ideal: 128
  59. Wed May 3 10:29:53 2023 removing 6871213 relations and 4871213 ideals in 2000000 cliques
  60. Wed May 3 10:29:56 2023 commencing in-memory singleton removal
  61. Wed May 3 10:29:57 2023 begin with 54198134 relations and 52043879 unique ideals
  62. Wed May 3 10:29:59 2023 reduce to 53585661 relations and 46541671 ideals in 8 passes
  63. Wed May 3 10:29:59 2023 max relations containing the same ideal: 115
  64. Wed May 3 10:30:14 2023 removing 6734114 relations and 4734114 ideals in 2000000 cliques
  65. Wed May 3 10:30:17 2023 commencing in-memory singleton removal
  66. Wed May 3 10:30:18 2023 begin with 46851547 relations and 46541671 unique ideals
  67. Wed May 3 10:30:20 2023 reduce to 46195385 relations and 41129190 ideals in 8 passes
  68. Wed May 3 10:30:20 2023 max relations containing the same ideal: 102
  69. Wed May 3 10:30:33 2023 removing 6665691 relations and 4665691 ideals in 2000000 cliques
  70. Wed May 3 10:30:36 2023 commencing in-memory singleton removal
  71. Wed May 3 10:30:37 2023 begin with 39529694 relations and 41129190 unique ideals
  72. Wed May 3 10:30:38 2023 reduce to 38799169 relations and 35704576 ideals in 8 passes
  73. Wed May 3 10:30:38 2023 max relations containing the same ideal: 92
  74. Wed May 3 10:30:50 2023 removing 6636809 relations and 4636809 ideals in 2000000 cliques
  75. Wed May 3 10:30:53 2023 commencing in-memory singleton removal
  76. Wed May 3 10:30:53 2023 begin with 32162360 relations and 35704576 unique ideals
  77. Wed May 3 10:30:54 2023 reduce to 31300385 relations and 30165719 ideals in 10 passes
  78. Wed May 3 10:30:54 2023 max relations containing the same ideal: 83
  79. Wed May 3 10:31:04 2023 removing 1665700 relations and 1316864 ideals in 348836 cliques
  80. Wed May 3 10:31:06 2023 commencing in-memory singleton removal
  81. Wed May 3 10:31:06 2023 begin with 29634685 relations and 30165719 unique ideals
  82. Wed May 3 10:31:07 2023 reduce to 29564785 relations and 28778152 ideals in 7 passes
  83. Wed May 3 10:31:07 2023 max relations containing the same ideal: 78
  84. Wed May 3 10:31:22 2023 relations with 0 large ideals: 51845
  85. Wed May 3 10:31:22 2023 relations with 1 large ideals: 12504
  86. Wed May 3 10:31:22 2023 relations with 2 large ideals: 144263
  87. Wed May 3 10:31:22 2023 relations with 3 large ideals: 900848
  88. Wed May 3 10:31:22 2023 relations with 4 large ideals: 3054978
  89. Wed May 3 10:31:22 2023 relations with 5 large ideals: 6201764
  90. Wed May 3 10:31:22 2023 relations with 6 large ideals: 7840185
  91. Wed May 3 10:31:22 2023 relations with 7+ large ideals: 11358398
  92. Wed May 3 10:31:22 2023 commencing 2-way merge
  93. Wed May 3 10:31:35 2023 reduce to 19522354 relation sets and 18735721 unique ideals
  94. Wed May 3 10:31:35 2023 commencing full merge
  95. Wed May 3 10:37:39 2023 memory use: 2596.0 MB
  96. Wed May 3 10:37:41 2023 found 8990584 cycles, need 8951921
  97. Wed May 3 10:37:43 2023 weight of 8951921 cycles is about 984975744 (110.03/cycle)
  98. Wed May 3 10:37:43 2023 distribution of cycle lengths:
  99. Wed May 3 10:37:43 2023 1 relations: 493527
  100. Wed May 3 10:37:43 2023 2 relations: 619814
  101. Wed May 3 10:37:43 2023 3 relations: 682453
  102. Wed May 3 10:37:43 2023 4 relations: 679146
  103. Wed May 3 10:37:43 2023 5 relations: 671943
  104. Wed May 3 10:37:43 2023 6 relations: 650040
  105. Wed May 3 10:37:43 2023 7 relations: 624299
  106. Wed May 3 10:37:43 2023 8 relations: 588242
  107. Wed May 3 10:37:43 2023 9 relations: 549187
  108. Wed May 3 10:37:43 2023 10+ relations: 3393270
  109. Wed May 3 10:37:43 2023 heaviest cycle: 28 relations
  110. Wed May 3 10:37:46 2023 commencing cycle optimization
  111. Wed May 3 10:38:01 2023 start with 76838087 relations
  112. Wed May 3 10:40:36 2023 pruned 3420682 relations
  113. Wed May 3 10:40:36 2023 memory use: 2016.5 MB
  114. Wed May 3 10:40:36 2023 distribution of cycle lengths:
  115. Wed May 3 10:40:36 2023 1 relations: 493527
  116. Wed May 3 10:40:36 2023 2 relations: 632969
  117. Wed May 3 10:40:36 2023 3 relations: 708743
  118. Wed May 3 10:40:36 2023 4 relations: 705802
  119. Wed May 3 10:40:36 2023 5 relations: 703274
  120. Wed May 3 10:40:36 2023 6 relations: 679691
  121. Wed May 3 10:40:36 2023 7 relations: 654676
  122. Wed May 3 10:40:36 2023 8 relations: 614548
  123. Wed May 3 10:40:36 2023 9 relations: 572341
  124. Wed May 3 10:40:36 2023 10+ relations: 3186350
  125. Wed May 3 10:40:36 2023 heaviest cycle: 28 relations
  126. Wed May 3 10:41:00 2023 RelProcTime: 1217
  127. Wed May 3 10:41:00 2023 elapsed time 00:20:18
  128. Wed May 3 10:41:01 2023
  129. Wed May 3 10:41:01 2023
  130. Wed May 3 10:41:01 2023 Msieve v. 1.54 (SVN Unversioned directory)
  131. Wed May 3 10:41:01 2023 random seeds: e629db31 8706a96e
  132. Wed May 3 10:41:01 2023 MPI process 0 of 1
  133. Wed May 3 10:41:01 2023 Using 46 OpenMP threads
  134. Wed May 3 10:41:01 2023 factoring 173409318994014991608699521250298311369361570298036914335533856306027248963108229043064237104545225594060295151887736283212865188020251783691527045046021271085079274687943920833525383452171591086873092481791192107707219997 (222 digits)
  135. Wed May 3 10:41:02 2023 no P-1/P+1/ECM available, skipping
  136. Wed May 3 10:41:02 2023 commencing number field sieve (222-digit input)
  137. Wed May 3 10:41:02 2023 R0: 7206265939649651266639461995378601681697
  138. Wed May 3 10:41:02 2023 R1: -1
  139. Wed May 3 10:41:02 2023 A0: 1
  140. Wed May 3 10:41:02 2023 A1: 1
  141. Wed May 3 10:41:02 2023 A2: 1
  142. Wed May 3 10:41:02 2023 A3: 1
  143. Wed May 3 10:41:02 2023 A4: 1
  144. Wed May 3 10:41:02 2023 A5: 1
  145. Wed May 3 10:41:02 2023 A6: 1
  146. Wed May 3 10:41:02 2023 skew 1.00, size 7.961e-12, alpha 2.428, combined = 5.399e-13 rroots = 0
  147. Wed May 3 10:41:02 2023
  148. Wed May 3 10:41:02 2023 commencing linear algebra
  149. Wed May 3 10:41:02 2023 using VBITS=128
  150. Wed May 3 10:41:02 2023 stopping after matrix build
  151. Wed May 3 10:41:02 2023 initialized process (0,0) of 1 x 1 grid
  152. Wed May 3 10:41:03 2023 read 8951921 cycles
  153. Wed May 3 10:41:18 2023 cycles contain 29135885 unique relations
  154. Wed May 3 10:41:38 2023 read 29135885 relations
  155. Wed May 3 10:41:40 2023 using 20 quadratic characters above 4294917295
  156. Wed May 3 10:41:43 2023 building initial matrix
  157. Wed May 3 10:47:17 2023 memory use: 3555.6 MB
  158. Wed May 3 10:47:26 2023 read 8951921 cycles
  159. Wed May 3 10:47:27 2023 matrix is 8951744 x 8951921 (3900.6 MB) with weight 1111132323 (124.12/col)
  160. Wed May 3 10:47:27 2023 sparse part has weight 924049654 (103.22/col)
  161. Wed May 3 10:49:09 2023 filtering completed in 2 passes
  162. Wed May 3 10:49:11 2023 matrix is 8951438 x 8951612 (3900.6 MB) with weight 1111122757 (124.13/col)
  163. Wed May 3 10:49:11 2023 sparse part has weight 924046585 (103.23/col)
  164. Wed May 3 10:49:33 2023 BLanczosTime: 511
  165. Wed May 3 10:49:33 2023 elapsed time 00:08:32
  166. Wed May 3 10:49:35 2023
  167. Wed May 3 10:49:35 2023
  168. Wed May 3 10:49:35 2023 Msieve v. 1.54 (SVN Unversioned directory)
  169. Wed May 3 10:49:35 2023 random seeds: 92420a81 e87eefaf
  170. Wed May 3 10:49:35 2023 MPI process 0 of 2
  171. Wed May 3 10:49:35 2023 Using 23 OpenMP threads
  172. Wed May 3 10:49:35 2023 factoring 173409318994014991608699521250298311369361570298036914335533856306027248963108229043064237104545225594060295151887736283212865188020251783691527045046021271085079274687943920833525383452171591086873092481791192107707219997 (222 digits)
  173. Wed May 3 10:49:36 2023 no P-1/P+1/ECM available, skipping
  174. Wed May 3 10:49:36 2023 commencing number field sieve (222-digit input)
  175. Wed May 3 10:49:36 2023 R0: 7206265939649651266639461995378601681697
  176. Wed May 3 10:49:36 2023 R1: -1
  177. Wed May 3 10:49:36 2023 A0: 1
  178. Wed May 3 10:49:36 2023 A1: 1
  179. Wed May 3 10:49:36 2023 A2: 1
  180. Wed May 3 10:49:36 2023 A3: 1
  181. Wed May 3 10:49:36 2023 A4: 1
  182. Wed May 3 10:49:36 2023 A5: 1
  183. Wed May 3 10:49:36 2023 A6: 1
  184. Wed May 3 10:49:36 2023 skew 1.00, size 7.961e-12, alpha 2.428, combined = 5.399e-13 rroots = 0
  185. Wed May 3 10:49:36 2023
  186. Wed May 3 10:49:36 2023 commencing linear algebra
  187. Wed May 3 10:49:36 2023 using VBITS=256
  188. Wed May 3 10:49:36 2023 skipping matrix build
  189. Wed May 3 10:49:36 2023 initialized process (0,0) of 1 x 2 grid
  190. Wed May 3 10:49:39 2023 matrix starts at (0, 0)
  191. Wed May 3 10:49:39 2023 matrix is 8951438 x 4475813 (1950.3 MB) with weight 555562010 (124.13/col)
  192. Wed May 3 10:49:39 2023 sparse part has weight 462023447 (103.23/col)
  193. Wed May 3 10:49:39 2023 saving the first 240 matrix rows for later
  194. Wed May 3 10:49:41 2023 matrix includes 256 packed rows
  195. Wed May 3 10:49:42 2023 matrix is 8951198 x 4475813 (1794.7 MB) with weight 421017735 (94.07/col)
  196. Wed May 3 10:49:42 2023 sparse part has weight 398862505 (89.12/col)
  197. Wed May 3 10:49:42 2023 using GPU 0 (Tesla T4)
  198. Wed May 3 10:49:42 2023 selected card has CUDA arch 7.5
  199. Wed May 3 10:50:10 2023 commencing Lanczos iteration
  200. Wed May 3 10:50:10 2023 memory use: 4596.8 MB
  201. Wed May 3 10:51:13 2023 linear algebra at 0.3%, ETA 5h 0m
  202. Wed May 3 10:52:47 2023 checking every 20000 dimensions, checkpointing every 1780000 dimensions
  203. Wed May 3 15:54:05 2023 lanczos halted after 35072 iterations (dim = 8951198)
  204. Wed May 3 15:54:33 2023 recovered 39 nontrivial dependencies
  205. Wed May 3 15:54:33 2023 BLanczosTime: 18297
  206. Wed May 3 15:54:33 2023 elapsed time 05:04:58
  207. Wed May 3 15:54:34 2023
  208. Wed May 3 15:54:34 2023
  209. Wed May 3 15:54:34 2023 Msieve v. 1.54 (SVN Unversioned directory)
  210. Wed May 3 15:54:34 2023 random seeds: ea4a77f2 81a6e6a2
  211. Wed May 3 15:54:34 2023 MPI process 0 of 1
  212. Wed May 3 15:54:34 2023 Using 32 OpenMP threads
  213. Wed May 3 15:54:34 2023 factoring 173409318994014991608699521250298311369361570298036914335533856306027248963108229043064237104545225594060295151887736283212865188020251783691527045046021271085079274687943920833525383452171591086873092481791192107707219997 (222 digits)
  214. Wed May 3 15:54:35 2023 no P-1/P+1/ECM available, skipping
  215. Wed May 3 15:54:35 2023 commencing number field sieve (222-digit input)
  216. Wed May 3 15:54:35 2023 R0: 7206265939649651266639461995378601681697
  217. Wed May 3 15:54:35 2023 R1: -1
  218. Wed May 3 15:54:35 2023 A0: 1
  219. Wed May 3 15:54:35 2023 A1: 1
  220. Wed May 3 15:54:35 2023 A2: 1
  221. Wed May 3 15:54:35 2023 A3: 1
  222. Wed May 3 15:54:35 2023 A4: 1
  223. Wed May 3 15:54:35 2023 A5: 1
  224. Wed May 3 15:54:35 2023 A6: 1
  225. Wed May 3 15:54:35 2023 skew 1.00, size 7.961e-12, alpha 2.428, combined = 5.399e-13 rroots = 0
  226. Wed May 3 15:54:35 2023
  227. Wed May 3 15:54:35 2023 commencing square root phase
  228. Wed May 3 15:54:35 2023 reading relations for dependency 1
  229. Wed May 3 15:54:36 2023 read 4476657 cycles
  230. Wed May 3 15:54:43 2023 cycles contain 14568904 unique relations
  231. Wed May 3 15:55:03 2023 read 14568904 relations
  232. Wed May 3 15:56:01 2023 multiplying 14568904 relations
  233. Wed May 3 15:56:49 2023 multiply complete, coefficients have about 360.68 million bits
  234. Wed May 3 15:56:51 2023 initial square root is modulo 2963047
  235. Wed May 3 15:59:08 2023 GCD is 1, no factor found
  236. Wed May 3 15:59:08 2023 reading relations for dependency 2
  237. Wed May 3 15:59:09 2023 read 4476522 cycles
  238. Wed May 3 15:59:18 2023 cycles contain 14567368 unique relations
  239. Wed May 3 15:59:34 2023 read 14567368 relations
  240. Wed May 3 16:00:33 2023 multiplying 14567368 relations
  241. Wed May 3 16:01:22 2023 multiply complete, coefficients have about 360.64 million bits
  242. Wed May 3 16:01:23 2023 initial square root is modulo 2958707
  243. Wed May 3 16:03:40 2023 GCD is 1, no factor found
  244. Wed May 3 16:03:40 2023 reading relations for dependency 3
  245. Wed May 3 16:03:41 2023 read 4476147 cycles
  246. Wed May 3 16:03:49 2023 cycles contain 14567508 unique relations
  247. Wed May 3 16:04:05 2023 read 14567508 relations
  248. Wed May 3 16:05:02 2023 multiplying 14567508 relations
  249. Wed May 3 16:05:50 2023 multiply complete, coefficients have about 360.64 million bits
  250. Wed May 3 16:05:52 2023 initial square root is modulo 2958947
  251. Wed May 3 16:08:13 2023 GCD is 1, no factor found
  252. Wed May 3 16:08:13 2023 reading relations for dependency 4
  253. Wed May 3 16:08:14 2023 read 4476916 cycles
  254. Wed May 3 16:08:22 2023 cycles contain 14568586 unique relations
  255. Wed May 3 16:08:39 2023 read 14568586 relations
  256. Wed May 3 16:09:38 2023 multiplying 14568586 relations
  257. Wed May 3 16:10:26 2023 multiply complete, coefficients have about 360.67 million bits
  258. Wed May 3 16:10:28 2023 initial square root is modulo 2962697
  259. Wed May 3 16:12:44 2023 GCD is 1, no factor found
  260. Wed May 3 16:12:44 2023 reading relations for dependency 5
  261. Wed May 3 16:12:45 2023 read 4475905 cycles
  262. Wed May 3 16:12:53 2023 cycles contain 14567380 unique relations
  263. Wed May 3 16:13:09 2023 read 14567380 relations
  264. Wed May 3 16:14:06 2023 multiplying 14567380 relations
  265. Wed May 3 16:14:54 2023 multiply complete, coefficients have about 360.63 million bits
  266. Wed May 3 16:14:56 2023 initial square root is modulo 2957897
  267. Wed May 3 16:17:14 2023 sqrtTime: 1359
  268. Wed May 3 16:17:15 2023 p60 factor: 141688995025414925840378201296673544155161741202680062168811
  269. Wed May 3 16:17:15 2023 p163 factor: 1223872884149614816732854085856976112198385243549026127290087500527117067269005374317365709515598769119313495692026446923979245884370778580310447323676214624271127
  270. Wed May 3 16:17:15 2023 elapsed time 00:22:41
  271.  
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