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BR open:
R' U' R U' R' U R2 U' R'

Or (still BR open):
R U2 R' U' R' U R2 U R'
 
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Sune + Z pll: R2 U R U R' U' R' U' R' U2 R' U R U2 R'

Pure adj edge flip: R' U2 R2 U R' U' R' U2 r U R U' r'

EDIT: corrected first alg
 
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1 - ftfy. Also isn't that just U perm + sune?
2 - And I also use the inverse of the second alg for BLD/ELL (I do F R U R' U' F' for one COLL case which gives me an ELL with adjacent edges flipped, and that's one of the 5 cases I know).

1 - Yes it is.
2 - I like the vesion I posted the most.
 
New and awesome Aa perm algorithm that i came up with(clockwise corner cycle)

hi everyone :) my name is Alaik Bhatia and my username is SpeedCuber71.i came up with this new alg for the Aa perm.it is very similar to the T perm and is very fast.some of you may not find it fast to execute in a solve but whats the harm in sharing it:)please have a look at the video for the alg.I dont know if the alg already exists but i came up with it when i was playing around with the cube.)the volume of the video is little low or soft so be sure to turn up your speakers volume.
ALG - r U r' U' r' F r2 U' r' U' r U r' F' U notice that the R in Tperm has been replaced with r

Link to the video showing the algorithm https://www.youtube.com/watch?v=rN56ezoThJ8
 
New T-Perm algorithm (not great for speedcubing but please have a look :) )

alg - x r' U r' d2 r U' r' d2 r2 x' U' M' U2 M
im Alaik Bhatia,username SpeedCuber71.im not sure if this algorithm already exists but i came up with this alg and another a perm alg(in another thread) while playing around with the cube. video showing it will be uploaded if im sure it doesnt already exist.
 
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