T-orientation Case #4:
 
 
Reference Image
You can use the reference image if you want, but I recognize exactly as the left two images.
1) L' U' L U L U' L U D' L U' L' D L'
2) [(L' U' L) (U)] [(L U' L) (U)] D' (L U' L') z (L U')
1) B U B' U B U F U B' F' U2 F U F'
2) y' [(L U L') (U)] (L U) (R U) L' (R' U2) (R U R')
1) F L U F2 U' F2 L' U F U F2 U' F2 U2
2) y' x (R U) x' (U R2) (U') ((R')2 F') (U) [R U (R')2 (U') (R)2] U2
1) L2 U2 L U' L' U L' U2 L' U' R U' L' U R' U
2) [(L)2 U2] [(L U') (L' U)] [(L' U2) (L') (U')] R (U') (L' U R' 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 R B' R' B R' B' F R' B R F2
2) y (l U) (L' U' L U') x M [(U' L) (U l2)] x' (U2)
1) L' U2 D L' U L' U' L' U L2 U D' L U2
2) (L' U2) [(D L') (U)] [(L' U' L') (U) L2] (U D') (L U2)
 
 
Reference Image
You can use the reference image if you want, but I recognize exactly as the left two images.
1) B L F' L' B' L F L'
2) y' r U (R' U') r' y (r U r')
1) B' U' R B' R' B R B' R' B R U B U' B' R' B
2) y' (L' U') y x' [(R U' R' U)x2 R] x y' U [(L U') (r' U' r)]
1) L' U' B' U2 B U' B' U' B L U2
2) (L' U') y' (L' U2) [(L U') (L' U' L) (F)] U2
1) B' U' B U B L B' U2 B' U2 B L' U
2) y' (L' U' L U) (L F) (L' U2) (L' U2) [(L F') (U)]
1) F U' B' R2 U' R2 U R2 F' B
2) y' [R (U') L'] y [(R)2 (U') (R')2 (U)] [(Rl) (E)]
1) R' L U L' U' R U L U L' U' L U' L' U
2) R' (L U L' U') [R (U) L (U)] [(L' U' L U' L') (U)]

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