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gchilders

3p2_551

gchilders
Sep 12th, 2021
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  1. Sat Sep 11 20:21:36 2021
  2. Sat Sep 11 20:21:36 2021
  3. Sat Sep 11 20:21:36 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 11 20:21:36 2021 random seeds: cbf56120 4333786f
  5. Sat Sep 11 20:21:36 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits)
  6. Sat Sep 11 20:21:36 2021 no P-1/P+1/ECM available, skipping
  7. Sat Sep 11 20:21:36 2021 commencing number field sieve (187-digit input)
  8. Sat Sep 11 20:21:36 2021 R0: 78551672112789411833022577315290546060373041
  9. Sat Sep 11 20:21:36 2021 R1: -4951760157141521099596496896
  10. Sat Sep 11 20:21:36 2021 A0: 3
  11. Sat Sep 11 20:21:36 2021 A1: 0
  12. Sat Sep 11 20:21:36 2021 A2: 0
  13. Sat Sep 11 20:21:36 2021 A3: 0
  14. Sat Sep 11 20:21:36 2021 A4: 0
  15. Sat Sep 11 20:21:36 2021 A5: 0
  16. Sat Sep 11 20:21:36 2021 A6: 2
  17. Sat Sep 11 20:21:36 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0
  18. Sat Sep 11 20:21:36 2021
  19. Sat Sep 11 20:21:36 2021 commencing relation filtering
  20. Sat Sep 11 20:21:36 2021 estimated available RAM is 515600.8 MB
  21. Sat Sep 11 20:21:36 2021 commencing duplicate removal, pass 1
  22. Sat Sep 11 20:41:43 2021 skipped 636 relations with b > 2^32
  23. Sat Sep 11 20:41:43 2021 skipped 168 relations with composite factors
  24. Sat Sep 11 20:41:43 2021 found 45651833 hash collisions in 222624412 relations
  25. Sat Sep 11 20:41:52 2021 commencing duplicate removal, pass 2
  26. Sat Sep 11 20:45:15 2021 found 47340905 duplicates and 175283507 unique relations
  27. Sat Sep 11 20:45:15 2021 memory use: 1321.5 MB
  28. Sat Sep 11 20:45:15 2021 reading ideals above 720000
  29. Sat Sep 11 20:45:15 2021 commencing singleton removal, initial pass
  30. Sat Sep 11 21:02:11 2021 memory use: 5512.0 MB
  31. Sat Sep 11 21:02:11 2021 reading all ideals from disk
  32. Sat Sep 11 21:02:12 2021 memory use: 7274.3 MB
  33. Sat Sep 11 21:02:20 2021 keeping 174847754 ideals with weight <= 200, target excess is 921074
  34. Sat Sep 11 21:02:30 2021 commencing in-memory singleton removal
  35. Sat Sep 11 21:02:35 2021 begin with 175283507 relations and 174847754 unique ideals
  36. Sat Sep 11 21:03:40 2021 reduce to 102807509 relations and 94102744 ideals in 17 passes
  37. Sat Sep 11 21:03:40 2021 max relations containing the same ideal: 147
  38. Sat Sep 11 21:04:05 2021 removing 7995906 relations and 6995906 ideals in 1000000 cliques
  39. Sat Sep 11 21:04:08 2021 commencing in-memory singleton removal
  40. Sat Sep 11 21:04:11 2021 begin with 94811603 relations and 94102744 unique ideals
  41. Sat Sep 11 21:04:49 2021 reduce to 94285190 relations and 86573152 ideals in 10 passes
  42. Sat Sep 11 21:04:49 2021 max relations containing the same ideal: 140
  43. Sat Sep 11 21:05:15 2021 removing 5998401 relations and 4998401 ideals in 1000000 cliques
  44. Sat Sep 11 21:05:17 2021 commencing in-memory singleton removal
  45. Sat Sep 11 21:05:20 2021 begin with 88286789 relations and 86573152 unique ideals
  46. Sat Sep 11 21:05:50 2021 reduce to 87955761 relations and 81239911 ideals in 9 passes
  47. Sat Sep 11 21:05:50 2021 max relations containing the same ideal: 135
  48. Sat Sep 11 21:06:12 2021 removing 5379673 relations and 4379673 ideals in 1000000 cliques
  49. Sat Sep 11 21:06:14 2021 commencing in-memory singleton removal
  50. Sat Sep 11 21:06:16 2021 begin with 82576088 relations and 81239911 unique ideals
  51. Sat Sep 11 21:06:41 2021 reduce to 82292658 relations and 76573578 ideals in 9 passes
  52. Sat Sep 11 21:06:41 2021 max relations containing the same ideal: 131
  53. Sat Sep 11 21:07:01 2021 removing 5057355 relations and 4057355 ideals in 1000000 cliques
  54. Sat Sep 11 21:07:03 2021 commencing in-memory singleton removal
  55. Sat Sep 11 21:07:05 2021 begin with 77235303 relations and 76573578 unique ideals
  56. Sat Sep 11 21:07:29 2021 reduce to 76966704 relations and 72244580 ideals in 9 passes
  57. Sat Sep 11 21:07:29 2021 max relations containing the same ideal: 123
  58. Sat Sep 11 21:07:48 2021 removing 4857035 relations and 3857035 ideals in 1000000 cliques
  59. Sat Sep 11 21:07:50 2021 commencing in-memory singleton removal
  60. Sat Sep 11 21:07:52 2021 begin with 72109669 relations and 72244580 unique ideals
  61. Sat Sep 11 21:08:12 2021 reduce to 71848033 relations and 68122716 ideals in 8 passes
  62. Sat Sep 11 21:08:12 2021 max relations containing the same ideal: 119
  63. Sat Sep 11 21:08:31 2021 removing 4722041 relations and 3722041 ideals in 1000000 cliques
  64. Sat Sep 11 21:08:32 2021 commencing in-memory singleton removal
  65. Sat Sep 11 21:08:35 2021 begin with 67125992 relations and 68122716 unique ideals
  66. Sat Sep 11 21:08:55 2021 reduce to 66862758 relations and 64134118 ideals in 8 passes
  67. Sat Sep 11 21:08:55 2021 max relations containing the same ideal: 113
  68. Sat Sep 11 21:09:12 2021 removing 4634898 relations and 3634898 ideals in 1000000 cliques
  69. Sat Sep 11 21:09:14 2021 commencing in-memory singleton removal
  70. Sat Sep 11 21:09:15 2021 begin with 62227860 relations and 64134118 unique ideals
  71. Sat Sep 11 21:09:32 2021 reduce to 61956492 relations and 60224291 ideals in 8 passes
  72. Sat Sep 11 21:09:32 2021 max relations containing the same ideal: 106
  73. Sat Sep 11 21:09:48 2021 removing 3277668 relations and 2613913 ideals in 663755 cliques
  74. Sat Sep 11 21:09:49 2021 commencing in-memory singleton removal
  75. Sat Sep 11 21:09:51 2021 begin with 58678824 relations and 60224291 unique ideals
  76. Sat Sep 11 21:10:06 2021 reduce to 58537849 relations and 57468032 ideals in 8 passes
  77. Sat Sep 11 21:10:06 2021 max relations containing the same ideal: 103
  78. Sat Sep 11 21:10:28 2021 relations with 0 large ideals: 34728
  79. Sat Sep 11 21:10:28 2021 relations with 1 large ideals: 10284
  80. Sat Sep 11 21:10:28 2021 relations with 2 large ideals: 123055
  81. Sat Sep 11 21:10:28 2021 relations with 3 large ideals: 904541
  82. Sat Sep 11 21:10:28 2021 relations with 4 large ideals: 3710386
  83. Sat Sep 11 21:10:28 2021 relations with 5 large ideals: 9241407
  84. Sat Sep 11 21:10:28 2021 relations with 6 large ideals: 14566514
  85. Sat Sep 11 21:10:28 2021 relations with 7+ large ideals: 29946934
  86. Sat Sep 11 21:10:28 2021 commencing 2-way merge
  87. Sat Sep 11 21:10:51 2021 reduce to 37737315 relation sets and 36667498 unique ideals
  88. Sat Sep 11 21:10:51 2021 commencing full merge
  89. Sat Sep 11 21:19:07 2021 memory use: 4735.8 MB
  90. Sat Sep 11 21:19:10 2021 found 18644922 cycles, need 18513698
  91. Sat Sep 11 21:19:14 2021 weight of 18513698 cycles is about 1666245605 (90.00/cycle)
  92. Sat Sep 11 21:19:14 2021 distribution of cycle lengths:
  93. Sat Sep 11 21:19:14 2021 1 relations: 1974050
  94. Sat Sep 11 21:19:14 2021 2 relations: 1946667
  95. Sat Sep 11 21:19:14 2021 3 relations: 1894444
  96. Sat Sep 11 21:19:14 2021 4 relations: 1743221
  97. Sat Sep 11 21:19:14 2021 5 relations: 1598180
  98. Sat Sep 11 21:19:14 2021 6 relations: 1452398
  99. Sat Sep 11 21:19:14 2021 7 relations: 1303505
  100. Sat Sep 11 21:19:14 2021 8 relations: 1155134
  101. Sat Sep 11 21:19:14 2021 9 relations: 1020988
  102. Sat Sep 11 21:19:14 2021 10+ relations: 4425111
  103. Sat Sep 11 21:19:14 2021 heaviest cycle: 26 relations
  104. Sat Sep 11 21:19:18 2021 commencing cycle optimization
  105. Sat Sep 11 21:19:40 2021 start with 120799306 relations
  106. Sat Sep 11 21:22:02 2021 pruned 3827336 relations
  107. Sat Sep 11 21:22:03 2021 memory use: 3646.1 MB
  108. Sat Sep 11 21:22:03 2021 distribution of cycle lengths:
  109. Sat Sep 11 21:22:03 2021 1 relations: 1974050
  110. Sat Sep 11 21:22:03 2021 2 relations: 1990473
  111. Sat Sep 11 21:22:03 2021 3 relations: 1967674
  112. Sat Sep 11 21:22:03 2021 4 relations: 1795323
  113. Sat Sep 11 21:22:03 2021 5 relations: 1651665
  114. Sat Sep 11 21:22:03 2021 6 relations: 1488697
  115. Sat Sep 11 21:22:03 2021 7 relations: 1334306
  116. Sat Sep 11 21:22:03 2021 8 relations: 1173044
  117. Sat Sep 11 21:22:03 2021 9 relations: 1031139
  118. Sat Sep 11 21:22:03 2021 10+ relations: 4107327
  119. Sat Sep 11 21:22:03 2021 heaviest cycle: 26 relations
  120. Sat Sep 11 21:22:25 2021 RelProcTime: 3649
  121. Sat Sep 11 21:22:25 2021
  122. Sat Sep 11 21:22:25 2021 commencing linear algebra
  123. Sat Sep 11 21:22:25 2021 using VBITS=256
  124. Sat Sep 11 21:22:26 2021 read 18513698 cycles
  125. Sat Sep 11 21:22:47 2021 cycles contain 57831555 unique relations
  126. Sat Sep 11 21:28:04 2021 read 57831555 relations
  127. Sat Sep 11 21:29:12 2021 using 20 quadratic characters above 4294917295
  128. Sat Sep 11 21:31:53 2021 building initial matrix
  129. Sat Sep 11 21:38:34 2021 memory use: 7379.1 MB
  130. Sat Sep 11 21:38:39 2021 read 18513698 cycles
  131. Sat Sep 11 21:38:41 2021 matrix is 18513520 x 18513698 (6887.7 MB) with weight 1982646768 (107.09/col)
  132. Sat Sep 11 21:38:41 2021 sparse part has weight 1601913091 (86.53/col)
  133. Sat Sep 11 21:40:27 2021 filtering completed in 2 passes
  134. Sat Sep 11 21:40:30 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col)
  135. Sat Sep 11 21:40:30 2021 sparse part has weight 1601875143 (86.54/col)
  136. Sat Sep 11 21:40:57 2021 matrix starts at (0, 0)
  137. Sat Sep 11 21:40:59 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col)
  138. Sat Sep 11 21:40:59 2021 sparse part has weight 1601875143 (86.54/col)
  139. Sat Sep 11 21:40:59 2021 saving the first 240 matrix rows for later
  140. Sat Sep 11 21:41:01 2021 matrix includes 256 packed rows
  141. Sat Sep 11 21:41:07 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col)
  142. Sat Sep 11 21:41:07 2021 sparse part has weight 1389573123 (75.07/col)
  143. Sat Sep 11 21:41:07 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  144. Sat Sep 11 21:41:07 2021 selected card has CUDA arch 7.0
  145. Sat Sep 11 21:42:04 2021 commencing Lanczos iteration
  146. Sat Sep 11 21:42:04 2021 memory use: 15261.8 MB
  147. Sat Sep 11 21:42:09 2021 linear algebra at 0.0%, ETA 13h24m
  148. Sat Sep 11 21:42:10 2021 checkpointing every 1480000 dimensions
  149. Sat Sep 11 23:52:15 2021 lanczos halted after 13434 iterations (dim = 3428869)
  150. Sat Sep 11 23:52:15 2021 BLanczosTime: 8990
  151. Sat Sep 11 23:53:50 2021
  152. Sat Sep 11 23:53:50 2021
  153. Sat Sep 11 23:53:50 2021 Msieve v. 1.54 (SVN unknown)
  154. Sat Sep 11 23:53:50 2021 random seeds: ffbafb64 2efe58f0
  155. Sat Sep 11 23:53:50 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits)
  156. Sat Sep 11 23:53:50 2021 no P-1/P+1/ECM available, skipping
  157. Sat Sep 11 23:53:50 2021 commencing number field sieve (187-digit input)
  158. Sat Sep 11 23:53:50 2021 R0: 78551672112789411833022577315290546060373041
  159. Sat Sep 11 23:53:50 2021 R1: -4951760157141521099596496896
  160. Sat Sep 11 23:53:50 2021 A0: 3
  161. Sat Sep 11 23:53:50 2021 A1: 0
  162. Sat Sep 11 23:53:50 2021 A2: 0
  163. Sat Sep 11 23:53:50 2021 A3: 0
  164. Sat Sep 11 23:53:50 2021 A4: 0
  165. Sat Sep 11 23:53:50 2021 A5: 0
  166. Sat Sep 11 23:53:50 2021 A6: 2
  167. Sat Sep 11 23:53:50 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0
  168. Sat Sep 11 23:53:50 2021
  169. Sat Sep 11 23:53:50 2021 commencing linear algebra
  170. Sat Sep 11 23:53:50 2021 using VBITS=256
  171. Sat Sep 11 23:53:58 2021 matrix starts at (0, 0)
  172. Sat Sep 11 23:54:01 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col)
  173. Sat Sep 11 23:54:01 2021 sparse part has weight 1601875143 (86.54/col)
  174. Sat Sep 11 23:54:01 2021 saving the first 240 matrix rows for later
  175. Sat Sep 11 23:54:06 2021 matrix includes 256 packed rows
  176. Sat Sep 11 23:54:11 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col)
  177. Sat Sep 11 23:54:11 2021 sparse part has weight 1389573123 (75.07/col)
  178. Sat Sep 11 23:54:11 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  179. Sat Sep 11 23:54:11 2021 selected card has CUDA arch 7.0
  180. Sat Sep 11 23:55:11 2021 commencing Lanczos iteration
  181. Sat Sep 11 23:55:12 2021 memory use: 15261.8 MB
  182. Sat Sep 11 23:55:13 2021 restarting at iteration 13434 (dim = 3428869)
  183. Sat Sep 11 23:55:16 2021 linear algebra at 18.5%, ETA 8h13m
  184. Sat Sep 11 23:55:20 2021 checkpointing every 1710000 dimensions
  185. Sun Sep 12 03:10:44 2021 lanczos halted after 33792 iterations (dim = 8624847)
  186. Sun Sep 12 03:10:44 2021 BLanczosTime: 11814
  187. Sun Sep 12 03:12:11 2021
  188. Sun Sep 12 03:12:11 2021
  189. Sun Sep 12 03:12:11 2021 Msieve v. 1.54 (SVN unknown)
  190. Sun Sep 12 03:12:11 2021 random seeds: cf7f3b57 2f17af0b
  191. Sun Sep 12 03:12:11 2021 factoring 7075167446563928268877523626630267033462317264077540624908510114309638136889254661543122743153493047871408000261188638486931896453926834355143124661150801025077157845046688445287243063689 (187 digits)
  192. Sun Sep 12 03:12:12 2021 no P-1/P+1/ECM available, skipping
  193. Sun Sep 12 03:12:12 2021 commencing number field sieve (187-digit input)
  194. Sun Sep 12 03:12:12 2021 R0: 78551672112789411833022577315290546060373041
  195. Sun Sep 12 03:12:12 2021 R1: -4951760157141521099596496896
  196. Sun Sep 12 03:12:12 2021 A0: 3
  197. Sun Sep 12 03:12:12 2021 A1: 0
  198. Sun Sep 12 03:12:12 2021 A2: 0
  199. Sun Sep 12 03:12:12 2021 A3: 0
  200. Sun Sep 12 03:12:12 2021 A4: 0
  201. Sun Sep 12 03:12:12 2021 A5: 0
  202. Sun Sep 12 03:12:12 2021 A6: 2
  203. Sun Sep 12 03:12:12 2021 skew 1.07, size 5.772e-13, alpha 1.523, combined = 7.646e-14 rroots = 0
  204. Sun Sep 12 03:12:12 2021
  205. Sun Sep 12 03:12:12 2021 commencing linear algebra
  206. Sun Sep 12 03:12:12 2021 using VBITS=256
  207. Sun Sep 12 03:12:19 2021 matrix starts at (0, 0)
  208. Sun Sep 12 03:12:21 2021 matrix is 18509603 x 18509777 (6887.4 MB) with weight 1982527346 (107.11/col)
  209. Sun Sep 12 03:12:21 2021 sparse part has weight 1601875143 (86.54/col)
  210. Sun Sep 12 03:12:21 2021 saving the first 240 matrix rows for later
  211. Sun Sep 12 03:12:25 2021 matrix includes 256 packed rows
  212. Sun Sep 12 03:12:30 2021 matrix is 18509363 x 18509777 (6430.5 MB) with weight 1461036443 (78.93/col)
  213. Sun Sep 12 03:12:30 2021 sparse part has weight 1389573123 (75.07/col)
  214. Sun Sep 12 03:12:30 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  215. Sun Sep 12 03:12:30 2021 selected card has CUDA arch 7.0
  216. Sun Sep 12 03:13:30 2021 commencing Lanczos iteration
  217. Sun Sep 12 03:13:31 2021 memory use: 15261.8 MB
  218. Sun Sep 12 03:13:31 2021 restarting at iteration 33792 (dim = 8624847)
  219. Sun Sep 12 03:13:35 2021 linear algebra at 46.6%, ETA 7h10m
  220. Sun Sep 12 03:13:39 2021 checkpointing every 1500000 dimensions
  221. Sun Sep 12 09:25:26 2021 lanczos halted after 72520 iterations (dim = 18509359)
  222. Sun Sep 12 09:26:14 2021 recovered 36 nontrivial dependencies
  223. Sun Sep 12 09:26:14 2021 BLanczosTime: 22442
  224. Sun Sep 12 09:26:14 2021
  225. Sun Sep 12 09:26:14 2021 commencing square root phase
  226. Sun Sep 12 09:26:14 2021 handling dependencies 1 to 64
  227. Sun Sep 12 09:26:14 2021 reading relations for dependency 1
  228. Sun Sep 12 09:26:16 2021 read 9256113 cycles
  229. Sun Sep 12 09:26:26 2021 cycles contain 28916128 unique relations
  230. Sun Sep 12 09:30:20 2021 read 28916128 relations
  231. Sun Sep 12 09:31:48 2021 multiplying 28916128 relations
  232. Sun Sep 12 09:47:03 2021 multiply complete, coefficients have about 787.27 million bits
  233. Sun Sep 12 09:47:05 2021 initial square root is modulo 11561509
  234. Sun Sep 12 10:03:01 2021 sqrtTime: 2207
  235. Sun Sep 12 10:03:01 2021 p57 factor: 276289231332731566044884175074973665891294875814153042737
  236. Sun Sep 12 10:03:01 2021 p131 factor: 25607829202881219627387277424459651598647233510035104990450386911039936265247085244493172557829856725879072754603506700535165748697
  237. Sun Sep 12 10:03:01 2021 elapsed time 06:50:50
  238.  
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