T-orientation Case #3:
 
 
Reference Image
You can use the reference image if you want, but I recognize exactly as the left two images.
1) R U R' U' R' U R' U' D R' U R D' R
2) [(R U R') (U')] [(R' U R') (U')] D (R' U R) z' (R' U)
1) B' U' B U' B' U' F' U' B F U2 F' U' F
2) y [(R' U' R) (U')] (R' U') (L' U') R (L U2) (L' U' L)
1) F' R' U' F2 U F2 R U' F' U' F2 U F2 U2
2) y x (L' U') x' (U' L2) (U) ((L)2 F) (U') [L' U' (L)2 (U) (L')2] U2
1) R2 U2 R' U R U' R U2 R U L' U R U' L U'
2) [(R')2 U2] [(R' U) (R U')] [(R U2) (R) (U)] L' (U) (R U' L U')
Thanks to Gilles Roux and Richard Patterson for all their help in trying to find a fast alg for this case.
1) (U2) F' L' B L B' L B F' L B' L' F2
2) y' (r' U') (R U R' U) x M [(U R') (U' r2)] x' (U2)
1) R U2 D' R U' R U R U' R2 U' D R' U2
2) (R U2) [(D' R) (U')] [(R U R) (U') R2] (U' D) (R' U2)
 
 
Reference Image
You can use the reference image if you want, but I recognize exactly as the left two images.
1) B' R' F R B R' F' R
2) y l' U' (L U) l y' (l' U' l)
1) B U L' B L B' L' B L B' L' U' B' U B L B'
2) y (R U) y' x' [(L' U L U')x2 L'] x y U' [(R' U) (l U l')]
1) R U B U2 B' U B U B' R' U2
2) (R U) y (R U2) [(R' U) (R U R') (F')] U2
1) B U B' U' B' R' B U2 B U2 B' R U'
2) y (R U R' U') (R' F') (R U2) (R U2) [(R' F) (U')]
1) F' U B L2 U L2 U' L2 F B'
2) y [L' (U) R] y' [(L')2 (U) (L)2 (U')] [(L'r') (E')]
1) L R' U' R U L' U' R' U' R U R' U R U'
2) L (R' U' R U) [L' (U') R' (U')] [(R U R' U R) (U')]

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